Mea drove 180 miles in 3 hourse if she continues at this rate how far will she drive in 12 hourse

If Quadrilateral ABCD is dilated with a scale factor of 3/2 the dilated quadrilateral A'B'C'D is bigger.

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

Quadrilateral ABCD after a dilation about point P the Quadrilateral is A'B'C'D'.

The scale factor = 3/2

We know that,

Scale factor  = Original figure / Dilated figure

The dilated image is bigger if the Scale factor is greater than 1.

The dilated image is smaller if the Scale factor is less than 1.

The dilated image is the same if the Scale factor is equal to 1.

The scale factor is 3/2.

3/2 = 1.5

The dilated Quadrilateral A'B'C'D is bigger than the original Quadrilateral ABCD.

Thus,

If Quadrilateral ABCD is dilated with a scale factor of 3/2 the dilated quadrilateral A'B'C'D is bigger.

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We get the value of f ( - 1 ) as - 5 for the function f (x) = x + 4 x³.

We are given a function:

f (x) = x + 4 x³

A function from a set X to a set Y assigns to each element of X exactly one element of Y.

We need to find the value of f ( - 1 )

We will do this by substituting the value of x as - 1

Put x = -1, we get that:

f ( x = -1 ) = ( - 1 ) + 4 ( - 1 )³

f ( - 1 ) = - 1  + 4 ( - 1 )

f ( - 1 ) = - 1 - 4

Simplifying the function:

f ( - 1 ) = - 5

Therefore, we get the value of f ( - 1 ) as - 5 for the function f (x) = x + 4 x³.

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Based on the information provided, the two numbers whose HCF is 101 are 1010 and 1313.

The HCF is the highest common factor or in other words, the highest number by which two numbers can be divided. Let's start by listing the four digits numbers that can be the HCF related to 101.

101 x 10 = 1010

101 x 11 = 1111

101 x 12 = 1212

101 x 13 = 1313

Now, from these numbers, there are two numbers whose difference is 303.

1313 - 1010 = 303

Based on this, the two numbers are 1010 and 1313

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The surface area of the triangular prism is 96 feet squared.

The figure above is a triangular prism. The surface area of the triangular base prism can be found as follows:

Hence,

surface area of the triangular base prism = (a + b + c)l + bh

where

Therefore,

surface area of the triangular base prism = (3 + 4 + 5)7 + (4 × 3)

surface area of the triangular base prism = (12)7 + 12

surface area of the triangular base prism = 84 + 12

surface area of the triangular base prism = 96 ft²

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The Power series representation of f(x) = \(x^8tan^-^1x^3\) is \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}\)

The Maclaurin series expansion method can be used to get the power series of such functions if the function has a composite part, such as the multiplication or quotient form.

An infinite series in mathematics known as a "power series" can be compared to a polynomial with an infinite number of terms.

The Maclaurin series will be used in this instance to expand the function:

\(tan^-^1x\) = \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^2^n^+^1}{2n+1}\)

and for    \(tan^-^1x^3 = $$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{(x^3)^2^n^+^1}{2n+1}\)

=>  \(tan^-^1x^3 = $$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3}{2n+1}\)  -------(i)

and f(x) = \(x^8tan^-^1x^3\)

now we need to multiply \(x^8\) in the above equation to get the power series expansion of f(x)

\(x^8tan^-^1x^3\) = \(x^8\) \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3}{2n+1}\)

=> \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^3^+^8}{2n+1}\)

=>  \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}\)

so the expansion of f(x) = \(x^8tan^-^1x^3\) is \($$ \Sigma_{n=0}^\infty $$ (-1)^n\frac{x^6^n^+^1^1}{2n+1}\)

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Answer:

(2) The statement is true.

-1 < r < 1

Answer:

4(2(5)-9)=4

Step-by-step explanation:

2*5=10-9=1

then 4(1)=4

Answer:

concave up and real roots

Answer:

24

Step-by-step explanation:

Okay, let's solve this step-by-step:

1) We are given: a = -8, b = 2, c = 7, d = 11

2) We are asked to solve the matrix equation: [[x + y, z], [z - x, w - y]] = [[a, b], [c, d]]

3) Matching up the elements in the matrices:

x + y = a = -8 (1)

z = b = 2 (2)

z - x = c = 7 (3)

w - y = d = 11 (4)

4) Solving the equations:

From (1): x + y = -8 => x = -8 - y

Substitute in (3): z - (-8 - y) = 7 => z - (-8) = 7 + y => z = 15 + y

Substitute (2) into the above: 2 = 15 + y => y = 13

Substitute y = 13 into (1): -8 - 13 = -21 = x

Substitute x = -21 and y = 13 into (4): w - 13 = 11 => w = 11 + 13 = 24

Therefore, the values are:

x = -21

y = 13

z = 15

w = 24

So the final value of w is:

w = 24

The range of the random variable D in this experiment is from -4 to 4.

The range of the random variable D, which represents the number of heads minus the number of tails in an experiment where a fair coin is flipped 4 times, can be determined as follows:

1. First, identify the possible outcomes for the number of heads and tails in each flip:
- 4 heads and 0 tails (HHHH)
- 3 heads and 1 tail (HHHT, HHTH, HTHH, THHH)
- 2 heads and 2 tails (HHTT, HTHT, HTTH, THHT, THTH, TTHH)
- 1 head and 3 tails (HTTT, THTT, TTHT, TTTH)
- 0 heads and 4 tails (TTTT)

2. Calculate D for each outcome:
- D = 4 - 0 = 4
- D = 3 - 1 = 2
- D = 2 - 2 = 0
- D = 1 - 3 = -2
- D = 0 - 4 = -4

3. Identify the range of D: The smallest value of D is -4, and the largest value is 4. Therefore, the range of D is from -4 to 4.

In conclusion, the range of the random variable D in this experiment is from -4 to 4.

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Answer:

the ration to the money spend on ads to website is 4:3

The amount spent on advertising to the amount spent on its website as a ratio in its simplest form is: 4: 3

Given that:

Thus, the ratio of the amount spent on the advertising and the website is computed as:

£1: £ 0.75

Since a ratio can be expressed in a fraction when solving to its simplest form, then we have:

\(\mathbf{\dfrac{1}{0.75}}\)

Let's multiply both the numerator and the denominator by 100 to shift the decimal in two places in 0.75

Then, we have:

\(\mathbf{=\dfrac{1\times 100}{0.75 \times 100}}\)

\(\mathbf{=\dfrac{ 100}{75 }}\)

Divide both sides by 5;

\(\mathbf{=\dfrac{ 20}{15 }}\)

Divide both sides by 5;

\(\mathbf{\dfrac{4}{3}}\)

Therefore, the amount spent on advertising to the amount spent on its website in ratio is 4:3

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Answer:

x = 1/7

Step-by-step explanation:

23x - 15x = x-1

8x = x - 1

8x - x = 1

7x = 1

x = 1/7

Answer:

Step-by-step explanation:

\(\sf 23x-15x=x-1\)

\(\sf 8x=x-1\)

\(\sf 8x-x=x-1-x\)

\(\sf 7x=-1\)

\(\sf \cfrac{7x}{7}=\cfrac{-1}{7}\)

\(\sf x=-\cfrac{1}{7}\)

Answer:

The answer is C. 33y

Step-by-step explanation:

☽------------❀-------------☾

Hi there!

~

\(12y + 7y \times 3\)

Is equivalent to :

           ↓

     (C)  \(33y\)

❀Hope this helped you!❀

☽------------❀-------------☾

They support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. Let denote the proportion of adults in the sample who say they support the increase. Suppose that 40% of all adults in Ohio support the increase. the correct answer is (d) 0.40.

Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data

set.  The mean, median and mode are the three commonly used measures of central tendency.

To calculate the mean, we need to add the total values given in a datasheet and divide the sum by the total number of

values.

The mean, μ, of the sampling distribution of p can be found using the formula

μ = p,

where p is the proportion of adults in the entire population who support the increase.

In this case, 40% of all adults in Ohio support the increase, so p = 0.40.

Therefore, the mean of the sampling distribution of p is:

μ = 0.40

So the correct answer is (d) 0.40.

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Answer:

6.2

Step-by-step explanation:

P - 4.2 =2

we have to no separate the variables and constants

so , when we move 4.2 to the other side ( other side of 2) it will be something like this

p = 2+4.2

as you can wee when we moved 4.2 to the other side the operation changed from ,minuus to plus sign .

now just do what it says

formula :

=p-4.2=2

=p = 2+4.2

= 2+ 4.2= 6.2

so,

p=6.2

write the formula , I think no need to write explanation

Given the information:

Overall average (μ) = 55.0 units

Process population standard deviation (σ) = 1.84

Sample size (n) = 16

To determine the 3-sigma UCL (Upper Control Limit) and LCL (Lower Control Limit) for a 2-sigma X chart, we can use the following formulas:

UCL = μ + 3 * (σ / √n)

LCL = μ - 3 * (σ / √n)

Plugging in the values:

UCL = 55.0 + 3 * (1.84 / √16)

LCL = 55.0 - 3 * (1.84 / √16)

Calculating the values:

UCL = 55.0 + 3 * (1.84 / 4)

LCL = 55.0 - 3 * (1.84 / 4)

UCL = 55.46

LCL = 54.54

Therefore, the 3-sigma UCL for the 2-sigma X chart is 55.46 units, and the LCL is 54.54 units.

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Answer:

(-4)

Step-by-step explanation:

i believe that the answer

There are different consecutive ways that the flowers can be planted:

3,9,15,21 and so on.

Numbers that follow each other in a regular counting order or pattern are called consecutive numbers. They are written sequentially, where the difference between the numbers is fixed and no number in between is skipped.

Given that:

Roses plants in 1st, 2nd, row are:

3,9 ,.....

Since difference between consecutive terms is same:

It is an AP

We have to find number of row in the flower bed:

Lets assume there are n rows in the flowers bed.

We know that:

    aₙ = a + (n-1)d

and d = 9-3 = 6

Therefore, the next numbers can be:

3,9,15 ,21 ......

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Answer:

x = 4

Step-by-step explanation:

2x - 3(x - 2) = 2

distribute the -3

2x - 3x + 6 = 2

combine like terms

-x + 6 = 2

-x = -4

x = 4

Answer:

x=4

Step-by-step explanation:

2x-3(x-2)=2

Distributing

2x -3x+6 =2

Combine like terms

-x+6=2

Subtract 6 from each side

-x+6-6= 2-6

-x =-4

Divide by -1

x=4

The number of  subscribers they must  sample to obtain this interval is: b) 385.

How to find the sample?

95% confidence interval for z-score is  1.96

Using this formula to find the number of  subscribers  they must sample to obtain this interval

n≥ (zσ/2 ÷ 2ME)²

Where:

n= Sample

zσ = Z-score

ME = margin of error

Let plug in the formula

n≥ [1.96 / 2(0.05)]²

n≥ [1.96 / 0.1]²

= (19.6)²

= 384.16

=385 (Rounded)

Therefore the correct option is B.

The complete question is:

Netflix would like to estimate the proportion of their current subscribers who would pay extra for a premium membership including access to more movies and TV shows. To do this, they plan to calculate a 95% confidence interval to estimate the proportion. They would like a margin of error of .05. How many subscribers must they sample to obtain this interval?

a) 1537

b) 385

c) 192

d) 10

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The R-squared value indicates the proportion of variability in the travel time that can be explained by the distance traveled. The coefficient estimates provide insights into the direction and strength of the relationship.

To draw a conclusion from the fitted regression, it is important to consider the coefficient of determination (R-squared) and the coefficient estimates.

A local trucking company fitted a regression model to analyze the relationship between travel time (in days) and distance traveled (in miles) for its shipments.

The regression model allows the company to estimate the travel time based on the distance traveled.

In the context of regression analysis, the term "fitted regression" refers to the statistical model that has been created using the available data.

It represents the relationship between the dependent variable (travel time) and the independent variable (distance traveled).

Please note that without the specific coefficient values and more information about the data and analysis, it is not possible to provide a more detailed conclusion.

However, with the fitted regression, the trucking company can make predictions or estimates of travel time based on the distance traveled.

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Rewrite the angle as a sum or difference with its

reference angle: sin(180° + 20°)

Simplify the expression using the general

reduction formula: sin(20)

Calculate the approximate value: -0.34202

Answer: -0.34202

Answer:

the answer should be 16, if you're looking for X that is

The amount of money more that Key Club still need to earn in order to have reached their target is  $ 382. 50

To find the amount of money needed  by Kay Club to get to their target, first, find the amount of money earned from the bake sale :

= 2 / 5 x Target amount

= 2 / 5 x 1, 700

= $ 680

Then, they did a good sale and earned 3 / 8 of the amount :

= 3 / 8 x 1, 700

= $ 637. 50

The amount of money that Key Club still needs is:

= Total amount - amount raised

= 1, 700 - 680 - 637. 50

= $ 382. 50

In conclusion. Key Club would still need to engage in other activities to be able to reach their goal of $ 1, 700 as they have to raise $ 382. 50.

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Answer:

2x + 60 - 37.50

x = 6

The solution to the initial value problem is: \(y^2/2 - xy + 6y = x + 51/2\)

To find the solution to the initial value problem, we need to solve the given differential equation using separation of variables. Let's start by rearranging the equation:

dy/dx = (y - x + 1)/(y - x + 6)
Let's separate the variables by multiplying both sides of the equation by (y - x + 6):
(y - x + 6)dy = dx
Integrating both sides with respect to their respective variables, we get:
∫(y - x + 6)dy = ∫dx
Integrating, we have:

(y^2/2 - xy + 6y) = x + C
Let's use the initial condition y(2) = 5 to find the value of C. Substituting x = 2 and y = 5 into the equation, we get:
(5^2/2 - 2(5) + 6(5)) = 2 + C
Simplifying, we have:
25/2 - 10 + 30 = 2 + C
55/2 = 2 + C
C = 55/2 - 2
C = 51/2
The solution to the initial value problem is:
y^2/2 - xy + 6y = x + 51/2

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Answer:

I believe B could be wrong

Answer: x=2±√23

Step-by-step explanation:

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.