Answer:
50 im sorry if im wrong
Step-by-step explanation:
Answer:
225
Step-by-step explanation:
15 * 15 = 225
225 / 2 =
Which of the following statements is NOT true about the quadratic function graphed above?
The false statements about the quadratic function are,
B. The quadratic equation has roots at - 2, 2.
C. This quadratic function has no roots.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
The axis of symmetry is a dotted vertical line dividing the graph into two equal parts.
And the symmetry line is at x = 0.
The quadratic equation has imaginary roots as it does not intersect the x-axis.
The y-intercept is the same as the maximum value as the graph opens downwards.
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please Factorise 4u²-18u +18
Answer: 2(u-3)(2u-3)
Step-by-step explanation:
4u²-18u +18 take out the greatest common factor, 2, all terms can be divided by 2
2(2u²-9u +9) to factor, multiply the first and the last parts of the quadratic. 2(9)=18 Find 2 numbers that multiply to 18 but add to the middle number.
-6 and -3 both multyiply to +18 but add to -9
Take those 2 numbers, -6 and -3, and replace the middle term with those numbers
2(2u²-6u-3u +9) we have not changed the equation, we have simply replaced the term and broke it up. -9u = -6u-3u
2(2u²-6u-3u+9) now we "group" the first 2 terms and the last 2
2[(2u²-6u)(-3u +9)] this is not your factor you must take out the greatest common factor from each of the groupings
2[2u(u-3)-3(u-3)] if the parentheses are the same, then you've done a good job. the first factoring will be what is in your parentheses, the second will be what ever is left.
2(u-3)(2u-3)
We use this method because there is a coefficient, number in front of the \(u^{2}\)
What is 2/3 divided by 1/6
Plss help 20 points!
Average price is the mean price of an asset or security observed over some period of time.
Define average price in gas?
Weighted Average Gas Price means the total payment made by the Buyer to the Seller for Seller's Gas delivered in a month divided by the total MMBtu of Seller's Gas delivered for that month.In basic mathematics, average price is a representative measure of a range of prices. It is calculated by taking the sum of the values and dividing it by the number of prices being examined.Get the miles traveled from the trip odometer, or subtract the original odometer reading from the new one.Divide the miles traveled by the amount of gallons it took to refill the tank. The result will be your car's average miles per gallon yield for that driving period.To learn more about average refers to:
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determine whether the series is absolutely convergent, conditionally convergent, or divergent. [infinity] n! 112n n = 1
The given series is as follows:\[\sum\limits_{n = 1}^\infty {\frac{{n!}}{{112^n }}} \]We need to determine whether the series is absolutely convergent, conditionally convergent or divergent.Let's proceed to solve it:Absolute Convergence:The series is said to be absolutely convergent if the series obtained
by taking the modulus of each term is convergent.If \[\sum\limits_{n = 1}^\infty {\left| {\frac{{n!}}{{112^n }}} \right|} \] is convergent, then the series is absolutely convergent.Now,\[\sum\limits_{n = 1}^\infty {\left| {\frac{{n!}}{{112^n }}} \right|} = \sum\limits_{n = 1}^\infty {\frac{{n!}}{{112^n }}} \]Use ratio test to find out whether the given series is convergent or divergent.\[L = \mathop {\lim }\limits_{n \to \infty } \
Hence, the given series is not absolutely convergent.Now, we proceed to the next part of the answer.Conditionally Convergence: A series is said to be conditionally convergent if the series is convergent but not absolutely convergent.Since we have already proved that the given series is not absolutely convergent, we cannot determine whether the given series is conditionally convergent or not.We can conclude that the given series is divergent and not absolutely convergent.
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Negative 3 and 3/7 plus 2 and 5/7
Answer:
-5/7
Step-by-step explanation:
19/7 - 24/7 = -5/7
The base is an equilateral triangle with an area of 6 square inches. the height of the pyramid is 15 inches. The height of the pyramid is 15 inches. what is the volume?
Answer:
V = 30 in³
Step-by-step explanation:
the volume (V) of a pyramid is calculated as
V = \(\frac{1}{3}\) × B × h ( B is the area of the base and h the height ) , then
V = \(\frac{1}{3}\) × 6 × 15 = 2 × 15 = 30 in³
Answer:
The volume of the pyramid is 30 inches cube.
How to find the volume of a pyramid?The base of the pyramid is an equilateral triangle with an area of 6 inches². The height of the pyramid is 15 inches.
Therefore, the volume of the pyramid can be calculated as follows:
volume of the pyramid = 1 / 3 BH
where
B = base area
H = height of the pyramid
Therefore,
B = 6 inches²
H = 15 inches
Hence,
volume of the pyramid = 1 / 3 × 6 × 15
volume of the pyramid = 1 / 3 × 90
Therefore,
volume of the pyramid = 30 inches³
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Step-by-step explanation:
Shelly walked 1/3 km. Kelly walked 4/15 km. Who walked farther? How much further did
one walk than the other?
Answer:
Shelly walked farther by 0.0666666666 or 0.07
Step-by-step explanation:
1 divided by 3 = 0.333333333
4 divided by 15 = 0.266666666
0.33 is greater than 0.26, so Shelly walked farther by 0.33 - 0.26 = 0.07
TRUE OR FALSE the critical value of a hypothesis test is based on the researcher's selected level of significance.
Answer:
the answer is true. may I get brainliest
TRUE. The critical value of a hypothesis test is based on the researcher's selected level of significance.
The critical value of a hypothesis test is based on the researcher's selected level of significance. The level of significance represents the probability of rejecting a true null hypothesis, and it determines the critical value, which is the point beyond which we reject the null hypothesis. Therefore, the higher the level of significance, the lower the critical value, and the easier it is to reject the null hypothesis.
True, the critical value of a hypothesis test is based on the researcher's selected level of significance. The level of significance determines the threshold for rejecting or failing to reject the null hypothesis, and the critical value is a point on the test statistic's distribution that corresponds to this threshold.
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Find F'(x): F(x) = Sx 3 t^1/3 dt
The derivative of F(x) is \(F'(x) = x^{(1/3)\).
What is function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
To find the derivative of the given function F(x), we will apply the fundamental theorem of calculus and differentiate the integral with respect to x.
Let's compute F'(x):
F(x) = ∫[0 to x] \(t^{(1/3)} dt\)
To differentiate the integral with respect to x, we'll use the Leibniz integral rule:
F'(x) = d/dx ∫[0 to x] \(t^{(1/3)} dt\)
According to the Leibniz integral rule, we have to apply the chain rule to the upper limit of the integral.
\(F'(x) = x^{(1/3)} d(x)/dx - 0^{(1/3)} d(0)/dx\) [applying the chain rule to the upper limit]
Since the upper limit of the integral is x, the derivative of x with respect to x is 1, and the derivative of 0 with respect to x is 0.
\(F'(x) = x^{(1/3)} (1) - 0^{(1/3)} (0)\)
\(F'(x) = x^{(1/3)\)
Therefore, the derivative of F(x) is \(F'(x) = x^{(1/3)\).
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Given 8x + 2 = 3 - x; x =
Answer:
x = 1/9
Step-by-step explanation:
8x + 2 = 3 - x
Add x to both sides.
9x + 2 = 3
Subtract 2 from both sides.
9x = 1
Divide both sides by 9.
x = 1/9
Answer:
x = 1/9
Step-by-step explanation:
We are given the equation:
8x + 2 = 3 - x
In order to solve for the variable x, we need to isolate it; in other words, we need to combine all the x terms and move everything else to the other side.
First, add x to both sides:
8x + x + 2 = 3
9x + 2 = 3
Now subtract 2 from both sides:
9x = 3 - 2 = 1
Divide both sides by 9:
x = 1/9
The answer is thus 1/9.
~ an aesthetics lover
As of 2016, Tunisia holds the world record for the largest version of a national flag. It was almost as long as four soccer fields. The flag has a circle in the center, a crescent moon inside the circle, and a star inside the crecen moon Complete each scale with the value that makes it equivalent to the scale of 1 to 2,000
Answer:
See attachment 2
Step-by-step explanation:
See attachment 1 for complete question
\(Scale= 1 : 2000\)
Required
Fill in the table
The scale implies that:
To fill in the gaps of actual measurements, we simply multiply the scale measurement by 2000
To fill in the gaps of scalar measurements, we simply divide the actual measurement by 2000
For the flag height, we have:
\(Scale\ Measurement = 13.2\ cm\)
Using the analysis above:
\(Actual = 2000 * 13.2\ cm\)
\(Actual = 26400\ cm\)
Convert to meters
\(Actual = 26400m/100\)
\(Actual = 264m\)
For the flag length, we have:
\(Actual\ Measurement = 396\ m\)
Using the analysis above:
\(Scale\ Measurement = 396\ m /2000\)
\(Scale\ Measurement = 0.198\ m\)
Convert to centimeters
\(Scale\ Measurement = 0.198\ cm * 100\)
\(Scale\ Measurement = 19.8\ cm\)
For the height of crescent moon, we have:
\(Actual\ Measurement = 99\ m\)
Using the analysis above:
\(Scale\ Measurement = 99\ m /2000\)
\(Scale\ Measurement = 0.0495\ m\)
Convert to centimeters
\(Scale\ Measurement = 0.0495\ cm * 100\)
\(Scale\ Measurement = 4.95\ cm\)
See attachment 2 for completed table
Which set of ordered pairs does not represent a function?
A.(0, 0), (2, 2), (5,5)
B.(0, 1), (3, 4), (4,3)
C. (1, 2), (3, 2), (7, 2)
D.(2,3), (3,5), (3,7)
Answer:
C does not represent a function
Step-by-step explanation:
you find 2 for each y- coordinate. Whenever you have a reputation in number for y axis means its not a function
how can i find the y-intercept in an equation of slope? (graph)
The y-intercept of the equation y = 2x + 3 is 3.
To find the y-intercept in an equation of slope, you need to understand the slope-intercept form of a linear equation, which is written as y = mx + b.
In this equation, 'm' represents the slope, and 'b' represents the y-intercept.
The y-intercept is the value of y when x is equal to zero, meaning it is the point where the line intersects the y-axis. To determine the y-intercept, set x = 0 in the equation and solve for y.
This will give you the y-coordinate of the point where the line crosses the y-axis.
For example, let's say you have the equation y = 2x + 3. To find the y-intercept, substitute x = 0 into the equation:
y = 2(0) + 3
y = 0 + 3
y = 3
Therefore, the y-intercept of the equation y = 2x + 3 is 3.
In summary, to find the y-intercept in an equation of slope, substitute x = 0 into the equation and solve for y. This will give you the y-coordinate where the line intersects the y-axis.
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twenty three less than sum of forty nine and thirty seven what is the answer?
Answer:
63.
Step-by-step explanation:
49 plus 37 is 86. subtract that by 23 and you get 63.
another good answer and another brainlist
Answer:
not
Step-by-step explanation:
An arithmetic sequence is given below. 27,20,13,6,… Write an explicit formula for the nth term aₙ
The explicit formula for the nth term (aₙ) of the given arithmetic sequence is aₙ = -7n + 34, where n represents the position of the term in the sequence.
To find the explicit formula for the nth term (aₙ) of the given arithmetic sequence, we need to identify the common difference (d) between consecutive terms.
From the given sequence: 27, 20, 13, 6, ...
We can observe that each term decreases by 7 to obtain the next term. Therefore, the common difference is -7.
Now, we can use the formula for the nth term of an arithmetic sequence:
aₙ = a₁ + (n - 1) * d
Where:
aₙ represents the nth term,
a₁ is the first term,
n is the position of the term,
d is a common difference.
In this case, the first term a₁ is 27 and the common difference d is -7.
Substituting the values into the formula, we have:
aₙ = 27 + (n - 1) * (-7)
Simplifying further, we get:
aₙ = 27 - 7n + 7
aₙ = -7n + 34
Therefore, the explicit formula for the nth term (aₙ) of the arithmetic sequence is aₙ = -7n + 34.
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Given f (x) = x2 + 5x + 6, what is [picture included] equal to?
h2 + 14h
2x + h + 5
h + 4
9 + h
The difference quotient evaluated in x = 2 gives:
[ f(2 + h) - f(2)]/h = h + 9
So the last option is the correct one.
How to find the difference quotient evaluated in 2?
Here we know the function:
f(x) = x^2 + 5x + 6
And we want to find the difference quotient:
[ f(2 + h) - f(2)]/h
Let's evaluate the function:
f(2 + h) = (2 + h)^2 + 5*(2 + h) + 6
= 2^2 + h^2 + 4h + 10 + 5h + 6
= h^2 + 9h + 20
f(2) = 2^2 + 5*2 + 6
f(2) = 4 + 10 + 6 = 20
Then we have:
[ f(2 + h) - f(2)]/h
[h^2 + 9h + 20 - 20]/h
[h^2 + 9h ]/h
Taking the quotient we get:
[h^2 + 9h ]/h = h + 9
So the correct option is the last one.
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Solve the inequality and graph the situation
Jasmine purchases 3 bugs of Hot Cheetos and 2 packs of sour Patch Kids on the vending machine and spent 55. Michael stooded up on snaces for
the wook and purchased 7 bags of Hot Cheetos and 3 packs of Sour Patch Kids for $8.75 What is the cost of a bag of Hot Chotos and pack of Sour
Patch Kids?
Let, price of Hot Cheetos and sour Patch Kids is x and y respectively.
3 bugs of Hot Cheetos and 2 packs of sour Patch Kids on the vending machine and spent $5.
So, 3x + 2y = 5 .......1 )
7 bags of Hot Cheetos and 3 packs of Sour Patch Kids for $8.75 .
7x + 3y = 8.75 ..........2 )
Solving equation 1 and 2 :
We get :
x = 0.5 and y = 1.75.
Therefore, price of Hot Cheetos and sour Patch Kids is $0.5 and $1.75 respectively.
Hence, this is the required solution.
In a large population of college-educated adults, the mean IQ is 112 with standard deviation 25. Suppose 30 adults from this population are randomly selected for a market research campaign. The probability that the sample mean IQ is greater than 115 is 0.019 b.0.256 c 0.461. d.0.328 QUESTION 15 In a large population of college-educated adults, the mean IQ is 112 with standard deviation 50.62. Suppose 30 adults from this population are randomly selected for a market research campaign. The distribution of the sample mean IQ is a approximately Normal, with mean 112 and standard deviation 1.44). bapproximately Normal, with mean 112 and standard deviation 4.564. c approximately Normal, with mean 112 and standard deviation 9.241. Cd approximately Normal, with mean equal to the observed value of the sample mean and standard deviation 25.
The correct answer is:
D. 0.981.
To calculate the probability that the sample mean IQ is greater than 115, we need to use the concept of sampling distribution and the central limit theorem.
Given:
Population mean (μ) = 112
Population standard deviation (σ) = 25
Sample size (n) = 300
The mean of the sampling distribution of the sample means (μx) will be the same as the population mean (μ) which is 112.
The standard deviation of the sampling distribution (σx) can be calculated using the formula:
σx = σ / √(n)
Plugging in the values:
σx = 25 / √(300)
≈ 1.443
Now, we can use the z-score formula to standardize the sample mean:
z = (x - μx) / σx
where x is the sample mean.
Plugging in the values:
z = (115 - 112) / 1.443
≈ 2.08
Next, we need to find the probability that the standardized sample mean (z) is greater than 2.08.
This can be done by looking up the z-score in the standard normal distribution table or by using a calculator or statistical software.
Using a standard normal distribution table or calculator, we find that the probability associated with a z-score of 2.08 is approximately 0.981.
Therefore, the correct answer is:
D. 0.981.
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the sum of two numbers is 72, two times the first number equals 10 times the second number. what are the numbers
Answer:
x+y=72
2x=10y
Solve one equation, then plug the answer into the other.
x=5y
5y+y=72
6y=72
y=12
Now that we have one answer, we can use that to solve the final answer.
x+y=72
x+12=72
x=60
Step-by-step explanation:
The numbers would be 60 and 12.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Let the numbers would be x and y
Given that the sum of the two numbers is 72
So x + y = 72
And two times the first number equals 10 times the second number.
So 2x = 10y
Divided by 2 into both sides of the equation,
⇒ x = 5y
⇒ 5y + y=72
⇒ 6y = 72
⇒ y = 12
Substitute the value of y = 12 in the equation x + y = 72,
⇒ x + y = 72
⇒ x + 12 = 72
⇒ x = 72 - 12
⇒ x = 60
So x = 60 and y = 12
Hence, the numbers would be 60 and 12.
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Erica recently invested in gold that is growing in value 4% annually. She invested $4000 initially. Find the value of her investment after 6 years.
The value of Erica's investment after 6 years is approximately $4,939.05.
To find the value of Erica's investment after 6 years, we can use the compound interest formula. The formula for compound interest is given as:
A = P\((1 + r/n)^(nt)\)
Where:
A is the final amount or value of the investment.
P is the initial principal or investment amount.
r is the annual interest rate (as a decimal).
n is the number of times the interest is compounded per year.
t is the number of years.
In this case, Erica's initial investment is $4000, the annual interest rate is 4% (or 0.04 as a decimal), and the investment is growing annually. Therefore, we have:
P = $4000
r = 0.04
n = 1 (since the interest is compounded annually)
t = 6 years
Plugging these values into the compound interest formula, we can calculate the final value of the investment:
A = $4000(1 + \(0.04/1)^(1*6)\)
A = $4000(1 + 0.04)^6
A = $4000(1.04)^6
Evaluating this expression, we find:
A ≈ $4,939.05
Therefore, the value of Erica's investment after 6 years is approximately $4,939.05.
This calculation assumes that no additional investments or withdrawals were made during the 6-year period and that the interest rate remains constant at 4% per year.
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The transformation from the function f(x) = 3x to the function f(x) = 3x - 2 indicates:
an upward shift of 2 units.
a downward shift of 2 units.
a shift to the left 2 units.
a shift to the right 2 units.
The transformation from the function f(x) = 3x to the function f(x) = 3x - 2 indicates: B. a downward shift of 2 units.
What is a transformation?In Mathematics and Geometry, a transformation can be defined as the movement of a point from its initial position to a new location. This ultimately implies that, when a function or object is transformed, all of its points would also be transformed.
In Mathematics and Geometry, a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.
Where:
N represents an integer.g(x) and f(x) represent functions.Since the parent function is f(x) = 3x, g(x) would be created by translating f(x) the parent function two units downward as follows;
f(x) = 3x
f(x) = 3x - 2
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Why is a normal distribution "normal"?
Step-by-step explanation:
Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.
Jesse and Jonah are making party favors. Jesse has made 108 favors and Jonah has made x number of favors. If they have made a total of 550 favors, how many has Jonah made?
Which of the following formulas which of the following formulas defines an arithmetic sequence?
a) tn = 5 + 14
b) tn= 5n² + 14
c) tn= 5n(n+14)
d) tn= 5n + 14
The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.
In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.
Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.
Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.
Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.
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If 15% of a number is 65,then find the number
Answer:
Step-by-step explanation:
To find the number, you can use the formula: number = (15/100) * 65.
Plugging in the values, you get: number = (15/100) * 65 = (3/20) * 65 = (3/20) * (5 * 13) = (3/4) * (5 * 13) = (15/4) * 13 = 15 * 13/4.
So the number is: 15 * 13/4 = <<15*13/4=97.5>>97.5.
The answer of the question is 433.
Let's take the number as 'x'
The equation becomes:
x × 15/100 = 65
x = 65 × 100/ 15
x = 433.3 = 433
Thus, the number whose 15% gives 65 as the result is 433.
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Determine whether the given procedure results in a binomial distribution. If it is not binomial, identify the requirements that are not satisfied.
Surveying 20 college students and recording their favorite TV showSurveying 20 college students and recording their favorite TV show.
Choose the correct answer below.
A. No, because there are more than two possible outcomes and the trials are not independent.
B. Yes comma because all 4 requirements are satisfied.Yes, because all 4 requirements are satisfied.
C. No comma because there are more than two possible outcomes.No because there are more than two possible outcomes.
D. No, because the probability of success does not remain the same in all trials.
The given procedure does not result in a binomial distribution because it does not satisfy the criteria of having only two possible outcomes and independent trials.
No, this procedure does not result in a binomial distribution. In order for a distribution to be binomial, it must meet four criteria: (1) there must be a fixed number of trials; (2) the trials must be independent; (3) there must be only two possible outcomes (i.e., success or failure); and (4) the probability of success must remain the same in all trials.
In the given procedure, there are more than two possible outcomes (i.e., the different TV shows that the college students can choose) and the trials are not independent. Therefore, the procedure does not satisfy two of the four criteria necessary for a binomial distribution.
A binomial distribution can be described by the formula:
\(P(x) = nCx * p^x * (1 - p)^(n - x)\)
where n is the number of trials, x is the number of successes, and p is the probability of success. Since the given procedure does not meet the criteria for a binomial distribution, this formula does not apply.
The given procedure does not result in a binomial distribution because it does not satisfy the criteria of having only two possible outcomes and independent trials.
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Find the slope of the line passing through the points (-5, 7) and (-7, 1).
Answer:
\(m=3\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Point (-5, 7)
Point (-7, 1)
Step 2: Find slope m
Substitute: \(m=\frac{1-7}{-7+5}\)Subtract/Add: \(m=\frac{-6}{-2}\)Divide: \(m=3\)And we have our final answer!