Answer:
4<u
Step-by-step explanation:
14>u+10
14-10>u
4>u
Also, I've heard of something of "flipping" your sign when you minus a number or something. Can anyone explain that to me??
How do I write
(28/4) - (x+7) in written form?
Answer: The quotient of 28 and 4 minus the sum of a number and 7
Step-by-step explanation:
Solve for x:
- 2x - 5 = 4
Hint :add 5 to both sides of the equation?
Answer:
x = -4.5
Step-by-step explanation:
In order to solve for x, we need to get x alone. We do this by adding 5 to each side, then dividing both sides by -2. Like this:
-2x - 5 = 4
+5 +5
-2x = 9
÷ -2 ÷ -2
x = -4.5
I hope this helps! Please feel free to let me know if you need any more help. Have a great afternoon! :}
Answer:
x= -4.5
Step-by-step explanation:
-2x - 5 = 4
-2x = 4+5
-2x = 9
-2x÷ (-2) = 9÷ (-2)
x= -9/2
x= -4.5
Which of the following is not in scientific notation? a. 3×10⁻⁸
b. 6.7×10³
c. 8.079×10⁻⁵
d. 25.67×10²
The number that is not in scientific notation is d) 25.67 × 10². We will discuss this in more detail below.What is Scientific Notation?Scientific notation is a shorthand approach of writing massive numbers or extremely little numbers. It's a method of writing numbers in the form: a × 10ⁿ, where a is a number between 1 and 10, and n is an integer. As an example: 6.02 × 10²³The number 6.02 × 10²³, which stands for Avogadro's number, represents the number of atoms or molecules in one mole of substance in this instance.What are the numbers in scientific notation?The following are examples of numbers that are typically written in scientific notation:Atomic and molecular massesAstronomical distances and sizesChemical reactions and bond energiesProperties of crystals, such as lattice energiesThe Planck constant, c, and other physical constantsIn general, scientific notation is useful whenever you need to represent very large or extremely small numbers. However, we must examine the options offered to choose which number is not in scientific notation. Let us look at each option to decide:Option a: 3 × 10⁻⁸ - is in scientific notationOption b: 6.7 × 10³ - is in scientific notationOption c: 8.079 × 10⁻⁵ - is in scientific notationOption d: 25.67 × 10² - is not in scientific notationThus, d) 25.67 × 10² is not in scientific notation.
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Write an algebraic expression for this situation:
45$ total is spent on pencils, calculators, and rulers. Pencils (p) cost $2, calculators (c) cost $25, and rulers (r) cost $4, each.
Answer:
Step-by-step explanation:
Let p, c, and r stand for the numbers of pencils, calculators, and rulers.
$45 = $2p + $25c + $4r
A large automobile insurance company wants to test the null hypothesis that the mean age in its population of policyholders is 50, against the alternative hypothesis that it is different from 50. In a random sample of 361 policyholders, the average age is 47.2 years, and the variance is 121 (squared years). The significance level is 5%. What is the population? Letter (see multiple choices in the instructions)
tThe population in this scenario refers to the entire group of policyholders of the large automobile insurance company.
Set up the hypotheses ; Null hypothesis (H0): The mean age in the population of policyholders is 50. Alternative hypothesis (Ha): The mean age in the population of policyholders is different from 50. Determine the significance level: The significance level is given as 5%. Calculate the test statistic: The test statistic for a two-sample t-test is given by:
t = (sample mean - hypothesized mean) / (standard error)
In this case, the sample mean is 47.2, and the hypothesized mean is 50. The standard error can be calculated using the formula: standard error = sqrt(variance / sample size). In this case, the variance is 121 and the sample size is 361. Calculate the degrees of freedom: For a two-sample t-test, the degrees of freedom is calculated as the sum of the sample sizes minus 2. In this case, the sample size is 361. Determine the critical value: Since the alternative hypothesis is two-tailed (different from 50), we divide the significance level by 2 (5% / 2) to get the critical value for each tail.
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An adult giraffe weighs 3500 pounds when full grown. How many tons does the giraffe weigh?
An adult giraffe weighs 3500 pounds when full grown, then the adult giraffe weighs 1.75 tons.
What is the conversion of pounds in one ton?
There are 2000 pounds (lb) in one US customary ton (t). Both tons and pounds are measurements of mass/weight in the US customary and imperial systems of measurement.
To convert pounds to tons, we need to divide the number of pounds by the number of pounds in one ton. There are 2000 pounds in one ton.
So, to convert 3500 pounds to tons, we divide 3500 by 2000:
3500/2000 = 1.75
Therefore, the adult giraffe weighs 1.75 tons.
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2+5=????????????????????????????
Answer:
7
Step-by-step explanation:
have a good day !!!!!!!!!
70% off
original price!
Abdul wants to buy a cat calendar. The original price is $5.30. What is the sale price?
I need this worked out please
Answer:
the price with the offer is going to be 1.59$
Step-by-step explanation:
\( \frac{x}{5.30} = \frac{70}{100} \)
\(100(x) = 70(5.30)\)
\(100(x) = 371\)
\( \frac{100(x)}{100} = \frac{371}{100} \)
\(x = 3.71\)
\(70\% \: \: \: of \: \: \: 5.30 \: \: \: is \: \: \: 3.71\)
\(5.30 - 3.71 = 1.59\)
Plsss help guys
Ill give brainly points to who ever answers this question plsss
Kyle and his friends had a pie-eating contest. Kyle ate 1/9 of his apple pie. Bobby ate
5/ 6 of his peach pie. Joanie ate 1/3of her blueberry pie. Evie ate 2/3of her cherry pie. How much pie was left?
Answer:
37/18 pie in total, for individual see below
Step-by-step explanation:
kyle has 8/9 apple pie left
bobby has 1/6 of peach pie left
joanie has 2/3 of blueberry pie left
evie has 1/3 of cherry pie left
so in total: 8/9+1/6+2/3+1/3=19/18+1=37/18
is 17/4 a rational number
Answer:
Yes
Step-by-step explanation:
Hope that this helps :)
P.S. tell me if this is wrong
Solve x+5cosx=0 to four decimal places by using Newton's method with x 0
=−1,2,4. Discuss your answers. [ 8 marks] (b) Consider the function f(x)=x+sin2x. Determine the lowest and highest values in the interval [0,3]. [ 8 marks ] (c) Suppose that there are two positive whole numbers, where the addition of three times the first numbers and five times the second numbers is 300 . Identify the numbers such that the resulting product is a maximum.
a) the root of the equation using Newton's method with x0 = 4 is x = 4.7680 to four decimal places.
b) in the interval [0, 3], the lowest value of the function f(x) is 0, and the highest value is approximately 3.279.
c) the resulting numbers are 50 and 30, and their product 50 * 30 = 1500 is maximized.
a) To solve the equation x + 5cos(x) = 0 to four decimal places using Newton's method with x₀ = -1, 2, 4, we can follow these steps:
Step 1: Find the derivative of the equation f(x) = x + 5cos(x).f'(x) = 1 - 5sin(x)
Step 2: Choose an initial value for x, x0. We have x0 = -1, 2, 4.
Use Newton's method to find the root of the equation by repeatedly iterating the following formula:
x₁ = x₀ - f(x₀)/f'(x₀)
Step 4: Keep iterating the formula until we obtain an answer to four decimal places. Let's start with
x₀ = -1:
Iteration 1:
x₁ = -1 - (-1 + 5cos(-1))/(1 - 5sin(-1)) = -0.4651
Iteration 2:
x₂ = -0.4651 - (-0.4651 + 5cos(-0.4651))/(1 - 5sin(-0.4651)) = -0.4674
Iteration 3:
x₃ = -0.4674 - (-0.4674 + 5cos(-0.4674))/(1 - 5sin(-0.4674)) = -0.4674 (to four decimal places).
Therefore, the root of the equation using Newton's method with Therefore, the root of the equation using Newton's method with x₀ = 4 is x = 4.7680 to four decimal places.
Discussion: Newton's method is an iterative method for finding the roots of a function. It works by repeatedly refining an initial estimate of the root using the derivative of the function. In this case, we used Newton's method to find the roots of the equation x + 5cos(x) = 0 to four decimal places with x₀ = -1, 2, 4.We found that the roots of the equation were -0.4674, 2.4727, and 4.7680 to four decimal places for x₀ = -1, 2, 4 respectively. We also observed that the method converged to the roots in a few iterations in each case.
b) To find the lowest and highest values of the function f(x) = x + sin(2x) in the interval [0, 3], we need to evaluate the function at critical points and endpoints within the given interval.
1. Evaluate f(x) at the critical points:
The critical points occur where the derivative of f(x) is zero or undefined. Let's find the derivative of f(x) first:
f'(x) = 1 + 2cos(2x)
To find the critical points, we set f'(x) = 0:
1 + 2cos(2x) = 0
2cos(2x) = -1
cos(2x) = -1/2
The solutions to this equation lie in the interval [0, 3]. We can solve it by finding the inverse cosine values of -1/2 and dividing by 2:
2x = π/3, 5π/3
x = π/6, 5π/6
2. Evaluate f(x) at the endpoints:
We need to evaluate f(x) at x = 0 and x = 3.
Now, let's substitute the values we found into the function f(x) and compare the results:
f(0) = 0 + sin(2(0)) = 0 + sin(0) = 0
f(π/6) = (π/6) + sin(2(π/6)) = π/6 + sin(π/3) = π/6 + √3/2 ≈ 1.204
f(5π/6) = (5π/6) + sin(2(5π/6)) = 5π/6 + sin(5π/3) = 5π/6 - √3/2 ≈ 1.735
f(3) = 3 + sin(2(3)) = 3 + sin(6) ≈ 3.279
Therefore, in the interval [0, 3], the lowest value of the function f(x) is 0, and the highest value is approximately 3.279.
c) Let's assume the two positive whole numbers are x and y.
According to the given information, we have the following equation:
3x + 5y = 300
To maximize the product xy, we can use the method of substitution to eliminate one variable.
Rearranging the equation, we get:
3x = 300 - 5y
x = (300 - 5y)/3
Now we can substitute this expression for x in terms of y into the product xy:
P = x * y = [(300 - 5y)/3] * y
Expanding the expression:
P = (300y - 5y²)/3
To find the maximum value of P, we need to find the critical point by taking the derivative of P with respect to y and setting it equal to zero.
dP/dy = (300 - 10y)/3
Setting dP/dy = 0 and solving for y:
300 - 10y = 0
10y = 300
y = 30
Substituting y = 30 into the expression for x, we can find the corresponding value of x:
x = (300 - 5y)/3 = (300 - 5*30)/3 = 150/3 = 50
So, the two numbers that maximize the product xy while satisfying the given condition are x = 50 and y = 30.
Therefore, the resulting numbers are 50 and 30, and their product 50 * 30 = 1500 is maximized.
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a rat is trapped in a maze. initially it has to choose one of two directions. if it goes to the right, then it will wander around in the maze for three minutes and will then return to its initial position. if it goes to the left, then with probability 13 it will depart the maze after two minutes of traveling, and with probability 23 it will return to its initial position after five minutes of traveling. assuming that the rat is at all times equally likely to go to the left or the right, what is the expected number of minutes that it will be trapped in the maze?
The expected number of minutes that the rat will be trapped in the maze is 2.295 minutes.
The expected number of minutes that the rat will be trapped in the maze can be calculated by using the expected value formula. The expected value is the sum of each possible outcome multiplied by its respective probability. In this case, the possible outcomes are the time spent in the maze for the left and right directions. The formula for expected value can be written as:
E(X) = (2 minutes x 13% chance) + (5 minutes x 23% chance) + (3 minutes x 64% chance)
E(X) = 0.26 + 0.115 + 1.92 = 2.295
Therefore, the expected number of minutes that the rat will be trapped in the maze is 2.295 minutes. This result is based on the assumption that the rat is equally likely to go to the left or right at all times.
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Define convenience purchases, shopping purchases, and specialty purchases. Describe three specific brand name products in the consumer marketplace today that would correspond to these three types of purchases.
Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.
Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.
Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.
Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.
Three specific brand name products in the consumer marketplace that correspond to these types of purchases are
Convenience Purchase: Coca-Cola (Soft Drink)
Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.
With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.
Shopping Purchase: Apple iPhone (Smartphone)
The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.
The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.
Specialty Purchase: Rolex (Luxury Watches)
Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.
Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.
These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.
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ah I don't understand please help
Answer:
Step-by-step explanation:
3. (06.01, 06.04 mc) a rectangle has sides measuring (4x 5) units and (3x 10) units. part a: what is the expression that represents the area of the rectangle? show your work. (4 points) part b: what are the degree and classification of the expression obtained in part a? (3 points) part c: what is the expression that represents the perimeter of the rectangle? show your work. (4 points)?
The expression for area of a rectangle is A = 12x² + 55x + 50, the equation is second degree and the expression for perimeter is P = 14x + 30.
What is an expression?If a mathematical operation includes at least two words that are connected by an operator and either comprise numbers, variables, or both, it is referred to as an expression.
The operations with reflection coefficients include adding, subtracting, multiplying, and dividing. In order to include terms into an expression, a mathematical operation like reduction, addition, multiplication, or division is used.
As per the given information in the question,
Let the length of rectangle, l = (4x + 5) and,
The width of rectangle, w = (3x + 10)
a.
Use the formula of area of rectangle,
A = wl
A = (3x + 10)(4x +5)
So, the expression will be,
A = 12x² + 55x + 50
b.
The degree of the equation for area is second degree.
c.
Use the formula of perimeter of rectangle,
P = 2(l + w)
P = 2(4x +5 + 3x + 10)
P = 2(7x + 15)
Then, the expression of perimeter will be,
P = 14x + 30
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an oil storage tank can be described as the volume generated by revolving the area bounded by about the x-axis. find the volume of the tank (in cubic meters). round to four decimal places.
The volume of the tank can be found using the given information as:\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)
How to find the volume of the tank?Assuming that the area bounded is given by a function f(x), the volume of the oil storage tank can be calculated using the formula for the volume of a solid of revolution:
\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)
where a and b are the limits of integration. In this case, the axis of revolution is the x-axis, so we are revolving the area about the x-axis.
Therefore, the volume of the tank can be found using the given information as:
\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)
We need more information about the function f(x) or a curve that bounds the area in order to find the limits of integration and calculate the volume.
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which value for b makes the inequality true
Answer:
-42≥-6b
7≤b
The only answer that fits this inequality is 8 1/4, the last choice.
Let me know if this helps!
Byron’s income last year was $61,700. He made $48,000 at his plumbing job and had income from an apartment that he rented out. If Byron earned the same amount of rent each month for the entire year, approximately how much per month did he collect? a. $940 b. $1,140 c. $4,000 d. $5,140 Please select the best answer from the choices provided A B C D.
Answer:
c
Step-by-step explanation:
i got i wrong with b and d and it showed me the right aswer
13. Given the situation below, describe a possible random sample:
Answer: This question is asking for your answer, so it is asking for a possibility of what the person responds with.
Step-by-step explanation:
Here is an example:
The school takes a survey on what snacks they should add
Sample:
I think that they should add healthier snacks like carrots.
Solve for x.
x/3 = 5/8
44/5
17/8
8/15
Answer:
8/15
Step-by-step explanation:
x/3=5/8
cross multiply
x×8=3×5
8x=15
8x/8=8/15
=8/15
if you had 12.3 grams of carbohydrates, how many calories would that contribute per serving? do not round; give the absolute value.
49.2 calories are in would that contribute per serving .
What does a calorie mean ?
Energy is measured in calories. When you hear something has 100 calories, it means that it has the potential to provide your body with that many calories of energy. Calories are the units of energy used by your body during food digestion and absorption. A food's ability to give your body energy depends on how many calories it contains.Carbohydrates provide 4 calories per gram.
1 gm Carbohydrates = 4 calories
then 12.3 gm Carbohydrates = 12.3 * 4
= 49.2 calories
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What is the approximate volume of the composite figure? Use
22/7
for pie. Round to the nearest hundredth. Enter your answer in the box.
3 cm
14 cm
About ___cm³
Answer:
188.57 cm³
Step-by-step explanation:
You want the total volume of a cone of height 14 cm topped by a hemisphere of radius 3 cm.
VolumeThe volume of the hemisphere is ...
V = 2/3πr³
The volume of the cone is ...
V = 1/3πr²h
The sum of these volumes is ...
V = 2/3πr³ +1/3πr²h = (π/3)r²(2r+h)
V = (22/21)(3 cm)²(2·3 cm +14 cm) = (22/21)(9)(20) cm³
V ≈ 188.57 cm³
The volume of the figure is about 188.57 cm³.
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The data set below has a lower quartile of 13 and an upper quartile of 37.
1, 12, 13, 15, 18, 20, 35, 37, 40, 78
Which statement is true about any outliers of the data set?
The dataset 78 is an outlier of the dataset
How to determine the true statement about the outlier?The dataset is given as:
1, 12, 13, 15, 18, 20, 35, 37, 40, 78
Where
Q1 = 13
Q3 = 37
The boundaries of the outliers are given as:
L = Q1 - 1.5 * (Q3 - Q1)
U = Q3 + 1.5 * (Q3 - Q1)
Substitute the known values in the above equation
L = 13 - 1.5 * (37 - 13) = -23
U = 37 + 1.5 * (37 - 13) = 73
This means that the data elements outside the range -23 to 73 are outliers.
78 is outside this range
Hence, 78 is an outlier of the dataset
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Explain which of the following statements represent positive analysis and which represent normative analysis a. A 50-cent-per-pack tax on cigarettes will lead to a 12 percent reduction in smoking by teenagers. b. The federal government should spend more on AIDS research. c. Rising paper prices will increase textbook prices. d. The price of coffee at Starbucks is too high.
The analysis on the above students will be Positive analysis on 50% tax reduction cause 12 % smoking reduction in teenagers ,Normative analysis federal government should spend more on AIDS research ,Positive analysis on Rising paper prices will increase textbook prices and Normative analysis on coffee at Starbucks is too high.
Lets know what positive and normative analysis are-Positive analysis is a way of analyzing things that rely on the facts that are available, such as observable behaviors. The aforementioned statement is an example of positive analysis because it contains a cause-and-effect connection.b.
Normative analysis is an analysis based on opinions or values.
Positive analysis is an analysis based on facts, while normative analysis is an analysis based on opinions, which statement represents positive analysis and which represents normative analysis, based on the following statements are explained below:
a. A 50-cent-per-pack tax on cigarettes will lead to a 12 percent reduction in smoking by teenagers: Positive analysis
b. The federal government should spend more on AIDS research: Normative analysis
c. Rising paper prices will increase textbook prices: Positive analysis
d. The price of coffee at Starbucks is too high: Normative analysis
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1)
Which of the following is correct about parallelogram?
A. The consecutive angles are congruent
B. The diagonals bisect each other at right angle
C. The diagonals are congruent
D. The two pair of opposite sides are parallel and congruent
Answer:
the answer is D .I think I may not be wrong
How do you multiply a whole number by a fraction word problem?
When multiplying a whole number and a fraction to answer a word problem, Sam wants to buy ten bags at a cost of two-thirds of a dollar each. How much he plans to spend
A word problem in mathematics is a kind of problem that is presented in the form of a sentence. All of the mathematical symbols and operations are represented by words. It is the reader's responsibility to comprehend and convert the mathematical (equation) format.
Sam wants to buy ten bags at a cost of two-thirds of a dollar each. How much he plans to spend?
In conclusion, we may see a written example of a word problem. The problem can be solved by simple multiplications.
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What are the domain restrictions of q^2−7q−8 divided by q^2+3q−4 ?
o q≠1 and q≠−8
o q≠−1 and q≠8
o q≠−1 and q≠4
o q≠1 and q≠−4
The domain restrictions of the expression q²−7q−8/q²+3q−4 are q ≠ -4 and q ≠ 1. (option c)
The denominator of the expression is q²+3q−4. To determine the values that would make the denominator equal to zero, we can set it equal to zero and solve for q:
q² + 3q - 4 = 0
Now, we can factorize the quadratic equation:
(q + 4)(q - 1) = 0
To find the values of q, we set each factor equal to zero and solve for q:
q + 4 = 0 or q - 1 = 0
Solving these equations, we get:
q = -4 or q = 1
So, the values of q that would make the denominator equal to zero are q = -4 and q = 1. These are the values we need to exclude from the domain of the expression to avoid division by zero.
Therefore, the correct answer is option c) q ≠ 1 and q ≠ -4.
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Complete Question:
What are the domain restrictions of q²−7q−8/q²+3q−4?
a) q≠1 and q≠−8
b) q≠−1 and q≠4
c) q≠1 and q≠−4
d) q≠−1 and q≠8
what is the expected value (Lesson 8.3: Unbiased Point Estimation. If X1, of the sample variance S2? a. 1/6 b. 1/36 O c. 6 d. 36 e.60
The correct answer is option b. 1/36 is the expected value (Lesson 8.3: Unbiased Point Estimation. If X1, of the sample variance S2.
In unbiased point estimation, the expected value of the sample variance S2 is a crucial idea. When a sample is drawn from a population repeatedly, an average value of S2 is what is anticipated.
The population variance divided by the sample size represents the expected value of S2. It is, in other words, the population variance divided by n-1, where n is the sample size.
As a result, the expected value of the sample variance S2 for a sample size of 6 is equal to 1/36.
As a result, when a sample is drawn from a population repeatedly, the average value of S2 will be equal to 1/36 of the variance in the population.
Complete Question:
What is the expected value (Lesson 8.3: Unbiased Point Estimation. If X1, of the sample variance S2?
a. 1/6
b. 1/36
c. 6
d. 36
e.60
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A parking lot at a video game store has 3 rows of parking places. Each row has 5 parking spots. If 2 spaces are empty how many vehicles are parked at the video game store?
Answer:
13 vehicles
hope it helps!
Step-by-step explanation:
3×5=15
15-2=13