here is the velocity time graph of a car for 40 seconds

Answer:

c

hypothesis is an educated guess. it follows the word if in If, then statements.

following the word then is your conclusion

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Answer:

\(\boxed {\boxed {\sf sin(B)= \frac {21}{29}}}\)

Step-by-step explanation:

Sine is the ratio of the opposite side to the hypotenuse.

\(sin \theta= \frac {opposite}{hypotenuse}\)

We want to find the sine of angle B. The side AC, which measures 21, is opposite angle B.

The side AB, which measures 29, is the hypotenuse because it is the longest side and opposite the right angle.

\(opposite= 21\\hypotenuse=29\)

Substitute the values into the formula.

\(sinB= \frac {21}{29}\)

This ratio cannot be reduced further, so it is the final answer.

The sine of B is 21/29

If segment BD is congruent to segment BC, and BD = 4x - 18, BC = x + 3, and AC = 34, then AB = 31/x.

Let the equation be AB + BC = AC

substitute the values in the above equation, we get

AB + x + 3 = 34

simplifying the value of x,

Subtract A B from both sides AB + x + 3 - AB = 34 - A B

x + 3 = 34 - AB

Subtract 3 from both sides,

x + 3 - 3 = 34 - AB - 3

x = -AB + 31

Plug in this value of x into the line segments to find BC and AC.

Where, BC = x + 3

substitute the value of x in the above equation, we get

BC = [-AB + 31 ] + 3

BC = -AB + 34

Then, AB + BC = AC

x = -AB + 31

AB = 31/x

Hence, If segment BD is congruent to segment BC, and BD = 4x - 18,

BC = x + 3, and AC = 34, then AB = 31/x.

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The will be A'(0, 20),  B'(20, 10) and  '(-10, 0). Transformation is the  of a point from its to a. Types of transformation are reflection, translation, rotation and dilation.

What is transformation?
When a function is transformed, the graph's curve either "moves to the left/right/up/down," "expands or compresses," or "reflects." For instance, by simply moving the graph of the function g(x) = x2 up by 3 units, the graph of the function f(x) = x2 + 3 is obtained. Function transformations are very useful for graphing functions without having to start from scratch because they allow you to move, expand, compress, or reflect the curve. In this article, we will examine the guidelines for function transformations as well as examples of how to transform various function types.

Let ABC be a   with coordinates A(0, 2), B(2, 1), C(-1, 0).

The coordinate of points A, B, C will change by below rule

(x, y)↔(10x, 10y)        

where 10 is the scale factor.

∴A(0, 2) ↔A'(0, 20)

B(2, 1) ↔B'(20, 10)

C(-1,0) ↔C'(-10, 0)

Hence,   will be A'(0, 20) ,B'(20, 10)  and C'(-10, 0)

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Answer:

the answer to this question is 66

Answer:

√104

Step-by-step explanation:

missing side = \(\sqrt{15^2-11^2} = \sqrt{225-121} = \sqrt{104}\)

The value that is added on the left-hand side to make the equation equal is -1/100.

In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows: multiplication, division, addition, and subtraction.

Given [1/-2  - 3/4  of -8/15],

to add a number so the sum equals the product of -7/50 and 11/14

let the number be x

according to the question,

[1/-2  - 3/4  of -8/15] + x = -7/50*11/14

taking LHS

[1/-2  - 3/4  of -8/15] = -1/2 - (3(-8)/60)

[1/-2  - 3/4  of -8/15] = -1/2 + 24/60

[1/-2  - 3/4  of -8/15] = (-30 + 24)/60

[1/-2  - 3/4  of -8/15] =-6/60 = -1/10

RHS

-7/50*11/14 = -77/700 = -11/100

substitute the values

[1/-2  - 3/4  of -8/15] + x = -7/50*11/14

-1/10 + x = -11/100

x = -11/100 + 1/10

x = (-11 + 10)/100

x = -1/100

Hence -1/100 is added to make the equation equal.

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Answer:

x = 5

Step-by-step explanation:

Since you want to isolate the x you

1) Add 9 to both sides

2) Divide both sides by 5

16 = 5x - 9

+9         +9

\(\frac{25}{5}\) = \(\frac{5x}{5}\)

5 = x

Answer:

Right 3.5 units

Step-by-step explanation:

Well, the coordinates go (x,y) so just plug it in..

(3.5, 0)

Go across (to the right) 3.5 and up 0, that's it.

Hope this helps :)

Answer:

G 33%

Step-by-step explanation:

17/52 = 0.32692307692

0.32692307692 is about 33 %

Have a nice day! :)

The water that was lost between 9 and 11 am is 52 liters by using integration.

An integral in mathematics assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that come from merging infinitesimal data. The process of determining integrals is known as integration. Along with differentiation, integration is a fundamental, essential operation of calculus and is used to answer issues in mathematics and physics involving the area of an arbitrary form, the length of a curve, and the volume of a solid, among others.

The integrals listed below are definite integrals, which can be defined as the signed area of the plane region circumscribed by the graph of a given function between two points on the real line.

Rate of leaking R'(t)=2+8t

Here t is the number of hours.

Total water lost from 9 and 11 am

=\(\int\limits^8_2\) (2+8t)dt

=(2t+(8t²/2))⁴₂

=(8+64)-(4+16)

=72-20

=52 liters.

The water that was lost between 9 and 11 am is 52 liters.

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========================================================

Explanation:

x = number of visits (some positive whole number)

2.5x = number of points earned for those x visits, ignoring bonus

2.5x+85 = number of points when adding on the 85 sign up bonus

We want that expression to be at least 105, which means we want it 105 or larger.

\(2.5x+85 \ge 105\\\\2.5x \ge 105-85\\\\2.5x \ge 20\\\\x \ge 20\div 2.5\\\\x \ge 8\\\\\)

So if x = 8 or larger, then she'll have 105 or more points.

Let's see if we get 105 when plugging in x = 8

2.5x+85 = 2.5*8+85 = 20+85 = 105

so that works out

Let's try something like x = 10

2.5x+85 = 2.5*10+85 = 25+85 = 110

I'll let you try other values of x.

----------

In short, she earns her first free movie ticket on the 8th visit.

Answer:

Inequality: 2.5x + 85 \(\geq\) 105

Answer: x \(\geq\) 8

Step-by-step explanation:

Answer:

I'm stuck on this one to

Step-by-step explanation:

The 99% confidence interval for the true population proportion of people with kids is:

CI = (0.482, 0.578)

To construct a 99% confidence interval for the true population proportion of people with kids, we can use the following formula:

\(CI = p $\pm z $ \sqrt{(p(1-p)/n)}\)

where CI is the confidence interval, p is the sample proportion, z is the critical value from the standard normal distribution corresponding to the desired confidence level (in this case, 99% corresponds to a critical value of 2.576), and n is the sample size.

Substituting the given values into the formula, we get:

\(CI = 0.53 $\pm 2.576 $\sqrt{(0.53(1-0.53)/600)}\)

Simplifying this expression, we get:

CI = 0.53 ± 0.048

Therefore, the 99% confidence interval for the true population proportion of people with kids is:

CI = (0.482, 0.578)

This means that we can be 99% confident that the true proportion of people with kids in the population lies between 0.482 and 0.578.

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There are 18 deluxe rooms in the hotel.

To find the number of deluxe rooms in the hotel, we need to calculate the percentage of rooms that are deluxe.

The percentage of single-bed rooms is 55%, and the percentage of double-bedrooms is 30%. Therefore, the percentage of deluxe rooms can be calculated as:

Percentage of deluxe rooms = 100% - (Percentage of single-bed rooms + Percentage of double-bedrooms)

= 100% - (55% + 30%)

= 100% - 85%

= 15%

So, 15% of the total rooms in the hotel are deluxe rooms.

To determine the number of deluxe rooms, we can multiply the total number of rooms by the percentage of deluxe rooms:

Number of deluxe rooms = 15% of 120 rooms

= (15/100) * 120

= 0.15 * 120

= 18

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Answer:    53.213

Step-by-step explanation:

Answer:

x < 8

Step-by-step explanation:

Add 4 to both sides

5x=40

Divide by 4

x < 8

Answer:

Step-by-step explanation:

7 hr/3 pumps

So first we want to find the unit rate which would be...

5.25 hr/1 pump

Now that we found the unit rate we are going to multiply it by 2 because there are 2 pumps...

5.25*2=10.5

So our answer is 10.5 hr/ 2 pumps

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                                                                                     BRAINLIEST?????

Answer:

zb = 46°

Step-by-step explanation:

za + zb = 90

44° + zb = 90°

90° - 44° = zb

zb = 46°

Answer:

26 - 11√5

Step-by-step explanation:

(4√5-3)(√5-2)

= 4√5 (√5-2) -3 (√5-2)

= 4√5 √5 + 4√5 ⋅ -2 -3 (√5-2)

= 4√5 √5 + 4√5 ⋅ -2 -3√5 -3 ⋅ -2

= 26 - 11√5

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Answer:

I am pretty sure that it is 4.

Step-by-step explanation: Got it right on edge2020

Answer:

4

Step-by-step explanation:

i took on edge

Answer:

Step-by-step explanation:

Are the following systems equivalent? How do you know?

For the equation;

2x+y= -4 ... 1

7x+7y=0 ... 2

Let us find the solution of the equation;

From 1;

y = 4 - 2x

Susbtitutw into 2;

7x + 7(4-2x) = 0

7x + 28 - 14x = 0

-7x + 28 = 0

7x = 28

x = 28/7

x = 4

Recall that y = 4-2x

y = 4 - 2(4)

y = 4 - 8

y = -4

The solution is (4, -4)

For the other equations;

5x+6y= 4 ... 1 * 1

4x+2y= -4 ..... 2 * 3

___________________

5x+6y= 4

12x+6y= -12

Subtract

5x-12x = 4 + 12

-7x = 16

x = -16/7

Since the solutions to both simultaneous equations are different, hence the systems of equations are not equivalent.

The scale factor of the dilation is 2.5.

To find the scale factor of the dilation, we can compare the corresponding side lengths of the two triangles.

In triangle ABC, the length of side AB is 2 - 0 = 2 units, and the length of side BC is 2 - 0 = 2 units.

In triangle A'B'C', the length of side A'B' is 1 - (-4) = 5 units, and the length of side B'C' is (-6) - (-1) = -5 units.

To determine the scale factor, we can compare the ratios of the corresponding side lengths:

Scale factor = (Length of corresponding side in A'B'C') / (Length of corresponding side in ABC)

For side A'B', the ratio is 5 / 2 = 2.5.

For side B'C', the ratio is -5 / 2 = -2.5.

Since the scale factor should be positive, we take the absolute value of the ratio, resulting in a scale factor of 2.5.

Therefore, the scale factor of the dilation is 2.5.

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The calculated surface area of the cone is about 2831.71 square inches

From the question, we have the following parameters that can be used in our computation:

The surface area of a cone is calculated using the following formula

SA = πr² + πrl

Substitute the known values in the above equation, so, we have the following representation

SA = 22/7 * 17² +22/7 * 17 36

Evaluate the exponent

SA = 2831.71

Hence, the surface area of the cone is about 2831.71 square inches

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Complete question

what is the surface area of the cone? use 22/7 for pi if it has 9 inches radius and 36 inches slant height

The probability of a pin consisting of 6 different digits is 136,080/9,999,999 ≈ 0.01361 or about 1.36%.

The total number of 6-digit base-10 numbers is 9,999,999 (from 000000 to 999999), since the first digit cannot be 0. In order for a pin to consist of 6 different digits, the first digit can be any of the 9 digits (excluding 0), the second digit can be any of the 9 remaining digits (since the first digit cannot be repeated), the third digit can be any of the 8 remaining digits, and so on.  

Therefore, the number of possible 6-digit pins with 6 different digits is 9 x 9 x 8 x 7 x 6 x 5 = 136,080.

To calculate the probability of a pin consisting of 6 different digits, we divide the number of possible 6-digit pins with 6 different digits by the total number of possible 6-digit pins. Therefore, the probability of a pin consisting of 6 different digits is 136,080/9,999,999 ≈ 0.01361 or about 1.36%.  

This means that out of every 100 6-digit pins, only about 1 or 2 of them will have 6 different digits.

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The first five terms of the sequence are: {9, -54, 324, -1944, 11664}.

To find the terms of the sequence, we are given the initial term, a₁, which is 9. The rule to generate the subsequent terms is given by an = -6 * an-1. This means that each term, starting from the second term, is obtained by multiplying the previous term by -6.

Let's break it down step by step:

First term (a₁): Given as 9.

Second term (a₂): We use the rule an = -6 * an-1. Substituting the value of a₁, we get a₂ = -6 * 9 = -54.

Third term (a₃): Using the rule again, we have a₃ = -6 * a₂ = -6 * (-54) = 324.

Fourth term (a₄): Similarly, applying the rule, we find a₄ = -6 * a₃ = -6 * 324 = -1944.

Fifth term (a₅): Continuing the pattern, we calculate a₅ = -6 * a₄ = -6 * (-1944) = 11664.

Therefore, the first five terms of the sequence are: {9, -54, 324, -1944, 11664}.

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a)The radius of convergence is R = |-2 - (-πi)| = |-2 + πi| = √(2^2 + π^2) ≈ 3.146.b)The radius of convergence is R = |1 + i - i| = |1| = 1. c)The radius of convergence is R = |1 + i - i| = |1| = 1.

The radius of convergence of a Taylor series centered at a point z0 is the distance from z0 to the nearest singularity of the function.

(a) The function sinz/e^z has singularities at z = kπi for any integer k, and the nearest singularity to z0 = -2 is at z = -πi. Therefore, the radius of convergence is R = |-2 - (-πi)| = |-2 + πi| = √(2^2 + π^2) ≈ 3.146.

(b) The function 1/cosz' has singularities at z = (k + 1/2)π for any integer k, which are equidistant from z0 = 0. Therefore, the radius of convergence is R = π/2.

(c) The function z^2+1/(z−i) has a singularity at z = i, which is the nearest singularity to z0 = 1 + i. Therefore, the radius of convergence is R = |1 + i - i| = |1| = 1.

Note that these radii of convergence only guarantee convergence within the radius; the series may converge or diverge at the boundary.

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To solve the initial value problem y'' - 2y' - 3y = 0, with y(0) = 1 and y'(0) = 2, we can use the method of Laplace transforms.

First, we take the Laplace transform of the given differential equation to obtain an algebraic equation in terms of the Laplace transform of the unknown function y(t). Then, we solve the algebraic equation for the Laplace transform of y(t) using standard algebraic techniques. Finally, we take the inverse Laplace transform to obtain the solution y(t) in the time domain.

Applying the Laplace transform to the given differential equation, we have s²Y(s) - sy(0) - y'(0) - 2(sY(s) - y(0)) - 3Y(s) = 0, where Y(s) represents the Laplace transform of y(t). Simplifying this equation, we get (s² - 2s - 3)Y(s) - (s - 2) = s²Y(s) - 3s - 4. Rearranging the equation, we have Y(s) = (s - 2) / (s² - 2s - 3).

To solve this equation for Y(s), we can decompose the expression into partial fractions, which yields Y(s) = 1 / (s - 3) - 1 / (s + 1). Taking the inverse Laplace transform of Y(s), we obtain y(t) = e^(3t) - e^(-t), which is the solution to the initial value problem.

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