Please help me I will give brainly if correct
Answer:
D
Step-by-step explanation:
-3 * 2/5 = - 1/2
Also an odd # of negative signs means the answer is going to be negative. (Just a little hint) Hope this helps!! :)
1. The graph shows the population of a city from 1900 to 2000. population in thousands 50 40 30 20 10 1900 1920 1940 1960 1980 2000 year What is the average rate of change of the population between 1930 and 1950?
The average rate of change of the population between 1930 and 1950 is 0.5 thousands per year.
What is rate of change?Rate of change is a mathematical concept that measures how much a certain quantity is changing over a certain period of time. It is often represented by the Greek letter delta (Δ). It can be used to measure changes in many different types of data, such as speed, temperature, and population. Rate of change is an important concept in calculus and other advanced mathematical topics.
The average rate of change of the population between 1930 and 1950 can be calculated by taking the difference of the population in 1930 and 1950 and dividing it by the number of years that have elapsed, which is 20. The difference of the population in 1930 and 1950 is 10. Therefore, the average rate of change of the population between 1930 and 1950 is 0.5 thousands per year.
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The population of the city was increasing by 1,000 people each year between 1930 and 1950.
What is rate of change?Rate of change is a mathematical concept that measures how much a certain quantity is changing over a certain period of time. It is often represented by the Greek letter delta (Δ). It can be used to measure changes in many different types of data, such as speed, temperature, and population. Rate of change is an important concept in calculus and other advanced mathematical topics.
The average rate of change of the population between 1930 and 1950 can be determined by calculating the difference between the population in 1930 and 1950 and dividing it by the number of years between them. In 1930, the population of the city was 20,000 and in 1950, the population was 40,000. This means that the difference between the two years is 20,000. The number of years between them is 20, so the average rate of change of the population between 1930 and 1950 is 1,000 per year, or 1,000/year.
This means that the population of the city was increasing by 1,000 people each year between 1930 and 1950. This is a significant rate of growth, indicating that the city was rapidly expanding during this period. This could be due to a variety of factors such as increased economic activity, improved access to resources and services, or increased immigration.
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Solve 3x²+7x-13 = 0 Give your solutions correct to 2 decimal places
Answer:
Step-by-step explanation:
\(3x^2+7x-13=0\\x = \frac{-7 +- \sqrt{49+156} }{6}\\ x = \frac{-7 +- \sqrt{215} }{6}\\ x = \frac{-7}{6}+-\frac{14.66}{6}\\ x = \frac{7.66}{6} = 1.27\\ or\\x = \frac{-21.66}{6} = -3.61\)
PLEASE HELP ASAP!!!!!!!
REASONING Meghana is making a kite out of nylon. The material is sold for $5.99 per square yard. She needs enough material to cover her kite on both sides.
a. What is the area of Meghana’s kite?
b. How many yards of material will Meghana need to cover both sides of her kite?
c. How much will the material cost before taxes?
Answer: The material will cost Meghana $95.84 before taxes.
Step-by-step explanation:
a. To find the area of Meghana's kite, we first need to convert the dimensions from feet to yards since the material is sold per square yard:
Length = 18 ft = 6 yards (since 1 yard = 3 feet)
Width = 4 ft = 4/3 yards (since 1 yard = 3 feet)
The area of the kite is the product of its length and width:
Area = Length x Width = 6 x 4/3 = 8 square yards
b. Meghana needs enough material to cover both sides of her kite, so she needs twice the area of the kite:
Area of both sides = 2 x Area of one side = 2 x 8 = 16 square yards
Therefore, Meghana needs 16 square yards of nylon material.
c. The material is sold for $5.99 per square yard, so the total cost of the material before taxes is:
Total cost = Cost per square yard x Number of square yards
Total cost = $5.99 x 16 = $95.84
Therefore, the material will cost Meghana $95.84 before taxes.
suppose the matrix, , has eigenvectors , , and whose eigenvalues are , and respectively. then, using the same order, can be written in the form where
We can write A = PAP where 1 P= and A= where P is an invertible matrix that maps the null space of A to itself.
To find the matrix P, we need to solve the following system of linear equations:
λ_1 1 = 1
λ_2 (-4) 1 = 1
λ_3 (-1) 1 = 1
The eigenvalues are real and non-negative, so they can be written as λ = λ_1, λ_2, λ_3 = λ_1, -4, -1 respectively.
Using Cramer's rule, we have:
\(λ_1 * 1^T = 1 * 1^T = 1\)
\(λ_2 * (-4)^T = -4 * 1^T = -4\)
\(λ_3 * (-1)^T = (-1) * 1^T = -1\)
Multiplying the first and third equations, we get:
\(-λ_1 * λ_3 = -4 * (-1) = 4\)
Multiplying the second and third equations, we get:
\(-λ_2 * λ_3 = -4 * (-1) = 4\)
Subtracting the second equation from the first, we get:
\(λ_1^2 - λ_2^2 = 1^2 - (-4)^2 = 5\)
Multiplying the first and third equations, we get:
\(-λ_1 * λ_2 = -4 * (-1) = 4\)
Dividing the third equation by the second equation, we get:
\(-1/λ_2 = -1/λ_3\)
Taking the reciprocal of both sides, we get:λ_2 = λ_3
Substituting this into the second equation, we get:
-\(λ_1 * λ_3 = -4 * (-1) * λ_3 = -4\)
Simplifying, we get:
-4 = -4
This equation has no solution, so the matrix A cannot be written in the form A = PAP where 1 P= and A= Thus, the answer is no.
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Full Question: the matrix, A, has eigenvectors and whose eigenvalues are 1, –4 and – 1 respectively. Then, using the same order, A can be written in the form A = PAP where 1 P= and A=
Select the correct answer from the drop-down menu.
Triangle ABC is shown with angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees.
In this triangle, the product of tan A and tan C is
.
In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.
The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.
We have to find the product of tan A and tan C.
In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.
So, we have, tan A = tan C
Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.
Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.
Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.
Answer: `(BC)^2/(AB)^2`.
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what is the mean of 1, 3, 7 ,11 ,13
Solve for the positive value of x: logx256=4
the x is bellow log not next to it please help
Answer:
x = 4
Step-by-step explanation:
Knowing that:
\( log_{a}(x) = b\)
Is equal to
\(x = a {}^{b} \)
And knowing that:
\( log_{x}(256) = 4\)
\(x {}^{4} = 256\)
Solve by finding the x using the fourth root
\( \sqrt[4]{ {x}^{4} } = \sqrt[4]{256} \)
That is equal to
\(x = 4\)
(100 POINTS PLUS BRAINIEST IF CORRECT I NEED HELP FAST)
The table below shows all of the possible outcomes for rolling two six-sided number cubes. A table with 36 possible outcomes. There are 9 desired outcomes. What is the probability of rolling an even number first and an odd number second?
StartFraction 1 over 9 EndFraction
StartFraction 1 over 6 EndFraction
One-fourth
One-half
The image is missing, we have attached the image.
Answer: The of getting an even number in first and an odd number second is 1/4 or 0.25
Step-by-step explanation:
Given,
Total number of outcomes = 36
We have to find the probability of rolling an even number first and an odd number second.
Solution,
Firstly we will find out the possible outcomes;
(2,1)(2,3)(2,5)(4,1)(4,3)(4,5)(6,1)(6,3)(6,5)
So the total number of outcomes = 9
Now according to the formula of probability, which is;
P(E)= total number of possible outcomes/total number of outcomes
Now on putting the values, we get;
P(of getting an even number in first and an odd number second)= 9/36 = 1/4 =0.25
Hence The of getting an even number in first and an odd number second is
1/4 or 0.25.
Hope this help
Answer:
1/4
Step-by-step explanation:
What would happen (other things equal) to a confidence interval if you calculated a 99 percent confidence interval rather than a 95 percent confidence interval?
a. It will be narrower
b. It will not change
c. The sample size will increase
d. It will become wider
Answer: When you increase the confidence level from 95 percent to 99 percent, the confidence interval will generally become wider, making it less precise but more certain.
Step-by-step explanation:
If you calculate a 99 percent confidence interval rather than a 95 percent confidence interval, the width of the interval would typically increase. A higher confidence level requires a wider interval to provide a greater level of certainty.
To understand this better, let's consider the concept of a confidence interval. A confidence interval is a range of values around a sample statistic (such as a mean or proportion) that is likely to contain the true population parameter with a certain level of confidence.
When calculating a confidence interval, you choose a confidence level, which represents the probability that the interval will contain the true population parameter. A 95 percent confidence level implies that, in repeated sampling, 95 percent of the intervals generated would contain the true population parameter.
Increasing the confidence level to 99 percent means that you want to be more confident in capturing the true population parameter, which requires constructing a wider interval. This wider interval provides more room to account for potential variability and reduces the chance of excluding the true parameter value.
Therefore, when you increase the confidence level from 95 percent to 99 percent, the confidence interval will generally become wider, making it less precise but more certain.
It is important to note that while a higher confidence level may provide greater certainty, it comes at the cost of increased interval width, which reduces the precision of the estimate. Therefore, choosing the appropriate confidence level depends on the specific context and the balance between desired precision and level of certainty.
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Answer:When you increase the confidence level from 95 percent to 99 percent, the confidence interval will generally become wider, making it less precise but more certain.
If you calculate a 99 percent confidence interval rather than a 95 percent confidence interval, the width of the interval would typically increase. A higher confidence level requires a wider interval to provide a greater level of certainty.
To understand this better, let's consider the concept of a confidence interval. A confidence interval is a range of values around a sample statistic (such as a mean or proportion) that is likely to contain the true population parameter with a certain level of confidence.
When calculating a confidence interval, you choose a confidence level, which represents the probability that the interval will contain the true population parameter. A 95 percent confidence level implies that, in repeated sampling, 95 percent of the intervals generated would contain the true population parameter.
Increasing the confidence level to 99 percent means that you want to be more confident in capturing the true population parameter, which requires constructing a wider interval. This wider interval provides more room to account for potential variability and reduces the chance of excluding the true parameter value.
Therefore, when you increase the confidence level from 95 percent to 99 percent, the confidence interval will generally become wider, making it less precise but more certain.
It is important to note that while a higher confidence level may provide greater certainty, it comes at the cost of increased interval width, which reduces the precision of the estimate. Therefore, choosing the appropriate confidence level depends on the specific context and the balance between desired precision and level of certainty
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Solve Each Equation
5. -8(5+4x)=-232
6. -84=4(4r+7)
Step-by-step explanation:
5.\( - 8(5 + 4x) = - 232\)
\( - 40 - 32x = - 232 \\ - 32x = - 232 + 40 \\ - 32x = - 192 \\ \frac{ - 32x}{ - 32} = \frac{ - 192}{ - 32} \\ \\ \huge x = 6\)
6.\( - 84 = 4(4r + 7) \\ - 84 = 16r + 28 \\ 16r = - 84 - 28 \\ 16r = - 112 \\ \frac{16r}{16} = - \frac{112}{16} \\ \\ \huge r = 7\)
Hope this helps you
Evaluate the expression using the given value 5a+3 a=6
Answer- 33
We are told that A=6, there for we can right out our equation fully.
(5 x 6)+3. Our multiplication sentence with go in parentheses ( ) so we know to do that part of our equation first. 5 times 6 is 30. After we multiply we add our outside number(s). 30 plus 3 is 33. Which means the solution to the equation is 33.
5a +3= 33 or (5x6) +3 = 33
Hope this helps! and GOOD LUCK.
Write a word problem that can be solved with the equation: 2X = 10
Step-by-step explanation: if James has 30 dollars and he spends 1 x on a book and 15 dollars on a pencil case and the pencil case is three times more expensive than the book how much money does he have left?
Answer:
Kira has 10 watermelons that she wants to share with her 2 friends, if she wants to share the watermelons equally, how many watermelons does each friend get?
A company has been asked by an important customer to demonstrate that its process capability ratio Cp exceeds 1.33. It has taken a sample of 50 parts and obtained the point estimate. Assume that the quality characteristic follows a normal distribution.
Required:
a. Can the company demonstrate that Cp exceeds 1.33 at the 95% level of confidence?
b. What level of confi- dence would give a one-sided lower confidence limit on Cp that exceeds 1.33?
Based on the information provided, the company can demonstrate that Cp exceeds 1.33 at the 95% level of confidence. To determine the level of confidence that would give a one-sided lower confidence limit on Cp exceeding 1.33, further information is required.
a. To demonstrate that Cp exceeds 1.33 at the 95% level of confidence, the company needs to construct a confidence interval for Cp and check if the lower bound of the interval is greater than 1.33. Since the sample size is 50, the point estimate of Cp can be calculated using the sample data. By using statistical techniques and formulas for process capability analysis, the company can calculate the confidence interval for Cp. If the lower bound of the interval is greater than 1.33, the company can demonstrate that Cp exceeds 1.33 at the 95% confidence level.
b. To determine the level of confidence that would give a one-sided lower confidence limit on Cp exceeding 1.33, the specific data on the point estimate and standard deviation of Cp is needed. With that information, statistical calculations can be performed to find the level of confidence at which the lower confidence limit on Cp exceeds 1.33. The level of confidence would depend on the specific values of the point estimate and standard deviation.
Without the specific data and calculations, it is not possible to provide a precise level of confidence for the one-sided lower confidence limit on Cp exceeding 1.33. The calculations would need to be performed based on the available data to determine the appropriate level of confidence.
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with a linear regression, what is the aim when choosing the model parameters (aka the slope and coefficient(s))?
The aim when choosing the model parameters:
Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line
The correct option is (b)
This is incomplete question
Complete question is this:
With a linear regression, what is the aim when choosing the model parameters (aka the slope and coefficient(s))?
Only use models that produce values of r = 1Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line Maximize the size of the residualsFind the best fit line that crosses the y- axis at x = 0Choose the correct option:
Now, According to the question:
Hence, The aim when choosing the model parameters:
Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line
The correct option is (b).
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Since we can only fold any piece of paper about 7 times, this is only theoretical. however, if 45 folds would get us to the moon, how many folds do you think it would take to reach mars? how did you come up with your number?
It is not possible to accurately determine the number of folds it would take to reach Mars based on the information given. The number of folds a piece of paper can achieve is limited by its size and thickness, as well as the physical properties of paper. The statement that a piece of paper can only be folded about seven times is a common myth but not a factual limitation. However, reaching Mars through folding a piece of paper is not feasible, as space travel requires advanced technology and spacecraft capable of traversing vast distances.
To estimate the number of folds it would take to reach Mars, we need to consider the distance between Earth and Mars, which can vary depending on their relative positions in their orbits around the Sun.
On average, the distance between Earth and Mars is about 225 million km. Assuming we could fold a piece of paper to reach Mars, we would need to calculate the number of folds required to cover this distance.
Let's assume each fold doubles the thickness of the paper. If we start with a standard thickness of 0.1 mm, after each fold, the thickness would be multiplied by 2. Therefore, the thickness of the paper after n folds would be 0.1 mm * 2^n.
To cover the distance of 225 million km (225,000,000,000 meters) with folded paper, we would need to find the number of folds (n) that satisfies the equation:
0.1 mm * 2^n ≥ 225,000,000,000 meters
By solving this equation, we can estimate the number of folds required to reach Mars. However, it is important to note that this is a purely hypothetical scenario and does not reflect the actual possibility or practicality of reaching Mars by folding paper.
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The design concrete strength used for the design of a reinforced concrete building is 5 ksi. In order to reduce the changes of the actual strength to be smaller than the design strength, the concrete supplier provides concrete following a normal distribution withmu=5.5 ksi and =0.2 ksi. After this building is designed and constructed, concrete samples are collected. What is the probability of the strength of a concrete sample to be smaller than the design strength?
There is a 0.62% probability that the strength of a concrete sample will be smaller than the design strength of 5 ksi, considering the provided mean and standard deviation values.
To find the probability of the strength of a concrete sample being smaller than the design strength, we can use the concept of standard deviation and the properties of a normal distribution.
Given that the mean (μ) of the concrete strength is 5.5 ksi and the standard deviation (σ) is 0.2 ksi, we want to determine the probability of the concrete strength being smaller than the design strength of 5 ksi.
To calculate this probability, we need to standardize the values using the z-score formula: z = (x - μ) / σ,
where x represents the value we want to standardize.
In this case, we want to find the probability when x = 5 ksi.
Plugging in the values, we have z = (5 - 5.5) / 0.2 = -2.5.
Using a standard normal distribution table or statistical software, we can find the corresponding probability for a z-score of -2.5.
The probability of the concrete sample strength being smaller than the design strength is the area under the curve to the left of the z-score -2.5.
Consulting a standard normal distribution table or using statistical software, we find that the probability is approximately 0.0062 or 0.62%.
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Shen rented a truck for one day. There was a base fee of $14.99, and there was an additional charge of 88 cents for each mile driven. Shen had to pay
$268.43 when he returned the truck. For how many miles did he drive the truck?
Answer:
288miles
Step-by-step explanation:
Given data
Base fee= $14.99
Additional charge= $0.88
let the number of miles be x
and the total charges for x miles be y
hence the expression for the total is
y=14.99+0.88x------------1
when y=268.43
let us substitute into the eqn 1 to find x
268.43=14.99+0.88x
268.43-14.99= 0.88x
253.44=0.88x
x= 253.44/0.88
x= 288 miles
Hence the number of miles is 288miles
Question 2 of 6 View Policies Current Attempt in Progress Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____
Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.
Question: Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____
Current Progress: To express the given vector as a linear combination of u, v, and w, we need to find scalars a, b, and c such that (14, 9, 14) = a*u + b*v + c*w.
Step 1: Write the equation in component form:
(14, 9, 14) = (3a + b + 8c, a - b + 3c, 6a + 4b + 8c)
Step 2: Equate the corresponding components and solve for a, b, and c:
3a + b + 8c = 14
a - b + 3c = 9
6a + 4b + 8c = 14
Step 3: Solve the system of equations using any method (substitution, elimination, etc.). One possible solution is a = 1, b = -1, and c = 3.
Step 4: Plug the values of a, b, and c back into the linear combination equation:
(14, 9, 14) = 1*u + (-1)*v + 3*w
Step 5: Simplify the equation:
(14, 9, 14) = u - v + 3w
Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.
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in conditional statements, the part of the statement following ‘if’ is called ___antecedent or consequent
The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.
The if statement evaluates the test expression inside the parenthesis ().
If the test expression is evaluated to true, statements inside the body of if are executed.
If the test expression is evaluated to false, statements inside the body of if are not executed.
The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.
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In conditional statements, the part of the statement following 'if' is called the antecedent.
The antecedent is the condition that needs to be true for the consequent to occur.
The consequent is the part of the statement that follows 'then.'
An antecedent is a noun or pronoun that denotes a specific being, place, object, or clause.
It's also referred to as a referent. Without an antecedent, a sentence may be insufficient or nonsensical since it is
required to establish what or to whom a pronoun in a sentence is referring.
In summary, a conditional statement is structured as "if (antecedent) then (consequent)."
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Which is true regarding the graphed function f(x)? f of 0 = 3 f of 5 = negative 1 f of 3 = 2 f of 2 = negative 2
The answer is f of 5 = negative 1. The correct answer is option B
The complete graph is attached with the answer below.
What is graphed function?Graphing functions is drawing the curve that represents the function on the coordinate plane. If a curve (graph) represents a function, then every point on the curve satisfies the function equation.
We can see in the graph that the point (5, -1) is on the f(x). Hence, the answer is f of 5 = negative 1.
Therefore answer is f of 5 = negative 1. The correct answer is option B
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Answer:
The answer is f of 5 = negative 1.
Step-by-step explanation:
Edge
Deandre has completed 68 deliveries so far this week. He needs to make 80 deliveries for the week. What percentage of his deliveries has Deandre completed?
Answer:
a
Step-by-step explanation:
Answer:
85%
Step-by-step explanation:
68 divided by 80 is equal to 68/80.
Divide top and bottom by 4 to get 17/20.
17 divided by 20 is 85%
Cuál es el valor de la razón del cambio cuando metemos un vaso de agua al tiempo al congelador por 15 minutos?
The value of the rate of change when we put a glass of water at room temperature is 1/3.
The pace at which one quantity changes in relation to another quantity is known as the rate of change function. Simply said, the rate of change is calculated by dividing the amount of change in one thing by the equal amount of change in another.
The connection defining how one quantity changes in response to the change in another quantity is given by the rate of change formula. The formula for calculating the rate of change from y coordinates to x coordinates is y/x = (y2 - y1)/. (x2 - x1 ).
Rate of change = change in temperature / time
= 10-5/15
=5 / 15
= 1/3
Therefore, the Rate of change is 1/3.
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Complete question;
What is the value of the rate of change when we put a glass of water at room temperature in the freezer for 15 minutes, what is its temperature at 5 minutes and then at 10 minutes.
Iggy bought the refrigerator on a payment plan.He paid $150 when he bought it and he agreed to pay $28.50 each month for the next 24 months.
Answer:834$
Step-by-step:150+28.24=834$
is p=4m proportional
The equation, p = 4m, is a proportional relationship.
What is a Proportional Relationship Equation?An equation that represents a proportional relationship between two variables such as x and y is, can be expressed as y = kx, where k is the constant of proportionality.
Thus, the constant of proportionality, k = y/x.
The equation p = 4m, shows that the constant of proportionality, k, is 4. This means the variables, p and m are in a proportional relationship.
Therefore, p = 4m represents a proportional relationship equation.
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Help on gradpoint!!!
I think the 3rd one, please let me know if I'm wrong. I don't want to give others the incorrect answer.
Step-by-step explanation:
2 x -3 (x) - 1 (y) - 2 x -1 (z) = -5
Answer:
(-3,1,-1)............
State whether each situation has independent or paired (dependent) samples. a. A researcher wants to know whether men and women at a particular college have different mean GPAs. She gathers two random samples (one of GPAs from 100 men and the other from 100 women.) b. A researcher wants to know whether husbands and wives have different mean GPAs. Ile collects a sample of husbands and wives and has each person report his or her GPA. a. Choose the correct answer below. Independent samples Paired (dependent) samples b. Choose the correct answer below. Paired (dependent) samples Independent samples
Therefore, In summary: a. Independent samples, b. Paired (dependent) samples.
In both situations, we need to determine if the samples are independent or paired (dependent).
a. The researcher gathers two random samples of GPAs from 100 men and 100 women. These samples are not related, as they are collected separately and do not depend on each other. Therefore, this situation has independent samples.
b. In this case, the researcher collects a sample of husbands and wives, and each person reports his or her GPA. The samples are related because they are taken from couples, where the GPA of one spouse may be influenced by the other spouse's GPA. This situation has paired (dependent) samples.
Therefore, In summary: a. Independent samples, b. Paired (dependent) samples.
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Qué significa a^2 en matemáticas es la mi trabajo
In mathematics, "\(a^2\)" denotes the square of a number or variable "a." It is calculated by multiplying "a" by itself.
How to illustrate with an example4For example, if "a" is 5, then a^2 would be 5*5, which equals 25. When "a" represents a positive number, its square is always positive.
If "a" is negative, its square is still positive since a negative multiplied by a negative results in a positive.
In geometrical terms, if "a" represents the length of the side of a square, then a^2 represents the area of that square. This notation is part of the general concept of exponentiation.
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The Question in English
What does a^2 mean in mathematics
A function, f(x), has a domain of --10 ≤ 2 < 20 and range -40 < f(I) < -10.
f(1)=-13
f (-10) =-40
Select each statement that must be false about f(x).
1. f(0)= 0
2. f(1) = 13
3. f(-15) =- 20
4. f(-9) = 88
5. f(5)- 40
By using the given domain and range, we will see that the false statements are:
1. f(0)= 02. f(1) = 133. f(-15) =- 204. f(-9) = 88Which statement is false?
What we know about the function f(x) is:
The domain is: -10 ≤ x ≤ 20
The range is: -40 ≤ f(x) ≤ -10
Which statements are false:
1) f(0)= 0
This is false, because the maximum value of the range is -10, so f(0) can't be equal to zero.
2. f(1) = 13
Same reasoning than above, 13 is outside of the range.
3. f(-15) =- 20
The smallest value on the domain (possible inputs) is -10, so the input -15 is not in the domain.
4) f(-9) = 88
88 is outside the range of the function, so this is false.
If you want to learn more about functions, you can read:
https://brainly.com/question/4025726
What is the value of x
Answer:
x = 15
Step-by-step explanation:
according to Altitude Theorem, we can set up this proportion:
9/RT = RT/16
RT² = 9(16)
RT² = 144
RT = \(\sqrt{144}\)
RT = 12
In right triangle STR, we can find 'x' by using the Pythagorean Theorem:
9² + 12² = x²
81 + 144 = x²
225 = x²
x = √225 = 15