if s'(t) = v(t) thne s(t) is the posiiton of the runner at time t

Step-by-step explanation:

remember, the point slope form is

y - y1 = m(x - x1)

m is the slope.

x1 and y1 are the coordinates of the given point.

since the slope is always the factor of x and remains the same for parallel lines, you have m plainly described in every line equation, and you only need to copy it into the point slope form.

Answer:

1/8

Step-by-step explanation:

Tommy: 3/8

Joel: 4/8

Garrett: 1/8

Answer:

yes it is i think don't sew meh if im wrong

Step-by-step explanation:

Answer:

Therefore, the value of "a" could be 23 or -7 in order for the two points (-5,8) and (3,a) to be 17 units apart.

Step-by-step explanation:

To find the value of "a" such that the two points (-5,8) and (3,a) are 17 units apart, we can use the distance formula to calculate the distance between the two points.

The distance formula is:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values for x1, y1, x2, and y2, we get:

distance = sqrt((3 - (-5))^2 + (a - 8)^2)

Simplifying the expression, we get:

distance = sqrt((8)^2 + (a - 8)^2)

distance = sqrt(64 + (a - 8)^2)

Since the distance between the two points is 17 units, we can set the expression equal to 17 and solve for "a":

sqrt(64 + (a - 8)^2) = 17

64 + (a - 8)^2 = 289

(a - 8)^2 = 225

a - 8 = 15 or a - 8 = -15

a = 23 or a = -7

Answer: 23 or -7

Step-by-step explanation:

The distance formula is:

distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values for x1, y1, x2, and y2, we get:

distance = sqrt((3 - (-5))^2 + (a - 8)^2)

Simplifying the expression, we get:

distance = sqrt((8)^2 + (a - 8)^2)

distance = sqrt(64 + (a - 8)^2)

Since the distance between the two points is 17 units, we can set the expression equal to 17 and solve for "a":

sqrt(64 + (a - 8)^2) = 17

64 + (a - 8)^2 = 289

(a - 8)^2 = 225

a - 8 = 15 or a - 8 = -15

a = 23 or a = -7

Answer:  \((\text{x} - 4)^2 + (\text{y}-9)^2 = 169\)

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

Explanation:

Let's find the distance from the center (4,9) to the point on the circle (-8,14)

This distance is the radius of the circle.

\((x_1,y_1) = (4,9) \text{ and } (x_2, y_2) = (-8,14)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(4-(-8))^2 + (9-14)^2}\\\\d = \sqrt{(4+8)^2 + (9-14)^2}\\\\d = \sqrt{(12)^2 + (-5)^2}\\\\d = \sqrt{144 + 25}\\\\d = \sqrt{169}\\\\d = 13\\\\\)

The radius of the circle is r = 13 units.

The center is (h,k) = (4,9)

So,

\((\text{x}-\text{h})^2+(\text{y}-\text{k})^2 = \text{r}^2\\\\(\text{x}-4)^2+(\text{y}-9)^2 = 13^2\\\\(\text{x}-4)^2+(\text{y}-9)^2 = 169\\\\\)

represents the equation of the circle.

You can use graphing tools like Desmos or GeoGebra to confirm. The diagrams of each are shown below as separate images.

Answer:

a: y = -2x   b: y = 2x - 1

Step-by-step explanation:

a: because -2=m= a negative slope. because b=0, the y-intercept=0=origin

b: 2x=positive slope= upwards from left to right. because the y-inter. = -1, -1 is less than 0=below x-axis

Answer:

1 7/8

Step-by-step explanation:

The answer is 1 7/8.

Answer:

12

Step-by-step explanation:

8.3 / .7

Multiply each by 10 to get rid of the decimal

83/7

We know that 84/7 =12 so this is close to 12

Answer:

G 33%

Step-by-step explanation:

17/52 = 0.32692307692

0.32692307692 is about 33 %

Have a nice day! :)

Answer:

36 girls voted for Marisol

Step-by-step explanation:

Answer:

y=x+5/2

Step-by-step explanation:

2x-2y+5=0

2x+5=2y

(2x+5)/2=2y/2

x+5/2=y

The elements 1 and p−1 are the only elements in the field Z that are their own multiplicative inverses.

To show that 1 and p−1 are the only elements in the field Z that are their own multiplicative inverses, we can consider the equation x² − 1 = 0. The solutions to this equation are x = 1 and x = -1. In a field, every nonzero element has a unique multiplicative inverse.

Therefore, if an element x is its own multiplicative inverse, then x² = 1.

Now, let's consider an element y ≠ 1 or p−1, and assume that y is its own multiplicative inverse. This means y²= 1.

Multiplying both sides of this equation by y², we get y^4 = 1. Continuing this pattern, we have y^8 = 1, y^16 = 1, and so on. Since the field Z is finite, there must exist a positive integer k such that y^(2^k) = 1.

If k is the smallest positive integer satisfying this condition, then y^(2^(k-1)) ≠ 1. Otherwise, y^(2^k) = 1 would not be the smallest k. Therefore, y^(2^(k-1)) must be -1, because it cannot be equal to 1. This implies that -1 is its own multiplicative inverse, which contradicts our assumption that y ≠ -1.

Hence, the only elements in the field Z that are their own multiplicative inverses are 1 and p−1.

Learn more about multiplicative inverses

brainly.com/question/1582368

#SPJ11

The coordinates of Q are (-8, -2) when the point lies in the segment PR. and PQ is 7/9 of PR, P(-22,-32) Q, R (5,4)​.

Given:

PQ = 7/9 of PR.

P coordinate= (-22,-32)

R coordinates= (5,4)​

The midpoint formula is:

((x1 + x2) / 2, (y1 + y2) / 2)

Using this formula with points P and R, we get:

(((-22) + 5) / 2, ((-32) + 4) / 2) = (-8.5, -14)

This gives us the coordinates of the midpoint of segment PR, which is the coordinates of point Q.

Let's do this for the x-coordinate of Q:

(xQ - (-22)) * (9/7) = 5 - (-22)

by this equation, we get:

xQ = -8

Now, let's do this for the y-coordinate of Q:

(yQ - (-32)) * (9/7) = 4 - (-32)

by solving this equation, we get:

yQ = -2

Hence, the coordinates of point Q will be (-8, -2).

Learn more about coordinates:

https://brainly.com/question/13118993

#SPJ4

the correct question is:

The point lies in the segment PR. Find the coordinates of Q so that PQ is 7/9 of PR. P(-22,-32) Q (?, ?) R (5,4)​

Answer:

59.0

Step-by-step explanation:

Given a right angled triangle, ∆XYZ, to know which trigonometric ratio formula to apply in finding the measure of angle X, note the following:

Opposite side to angle X = 6

Hypotenuse = 7

Therefore, we would apply the following trigonometric ratio formula to solve for m<X:

\( sin X = \frac{6}{7} \)

\( sin X = 0.8571 \)

\( X = sin^{-1}(0.8571) \)

\( X = 58.99 \)

\( m < X = 59.0 \) (rounded to nearest tenth)

The Total Daily Energy Expenditure of a man aged 19-50 years is approximately 2900 calories a day

What is Total Daily Energy Expenditure?

Total Daily Energy Expenditure is the amount of calories burnt in a 24 hours period

Here,

The average man aged 19-50 years burns out approximately 2900 calories in a 24 hours period.

So, the average man aged 19-50 years has a daily energy expenditure rate of approximately 2900 calories a day.

To learn more about Total Daily Energy Expenditure , refer to the link-

https://brainly.com/question/24652118

#SPJ4

-2 is the minimum value of the given set.

Assume that x is the minimum value.

The difference between the largest value and the least value is therefore what we use to determine the range:

Range = Maximum value - Minimum value

6 = 4 - x

Solving for x, we can subtract 4 from both sides:

6 - 4 = 4 - x - 4

2 = -x

Finally, we can multiply both sides by -1 to get x by itself:

x = -2

Therefore, the minimum value is -2.

Learn more about the range here:

https://brainly.com/question/29633660

#SPJ1

Answer:

ASA

Step-by-step explanation:

there are two congruent angles with an included side in between

Answer: Triangle RHS and NKW are congruent through the Congruence Theorem Angle-Side-Angle.

Step-by-step explanation:

The side HS is congruent to the side KW.

The angle H is congruent to angle K.

The angle S is congruent to angle S.

Answer:

When you multiply a number by a fraction, the number always decreases. When you multiply a number by 1/2, it's always half of the original number

Step-by-step explanation:

For example, take 4 x 1/2. It can be written as four halves. What do we get when we add four halves together?

1/2 + 1/2 + 1/2 + 1/2 = 2!

2 is less than 4. It is also half of the number four

Total cost:-

\(\\ \sf\longmapsto 225/8(44.5)\)

\(\\ \sf\longmapsto 28.1(44.5)\)

\(\\ \sf\longmapsto 1251.5\$\)

Recheck the question options

Expression of logarithms is log₅a³b = 3log₅a + log₅b.

Given expression is log₅a³b.

We have to express given expression as a sum or difference of logarithms.

We know the logarithmic formulas which is,

logₐ(PQ) = logₐP + logₐQ

logₐ(\(P^{Q}\)) = QlogₐP

we will use above formulas and solve the given equation.

log₅a³b = log₅a³ + log₅b

log₅a³b = 3log₅a + log₅b

Logarithms, like exponents, have many helpful properties that can be used to simplify logarithmic expressions ans solve logarithmic equation.

The product property states that to miltiply two powers that have the same base, add the exponents.

To know more about logarithms here

https://brainly.com/question/24016123

#SPJ4

The first polynomial can be expressed as a linear combination of the other two.

The given polynomials in V = P3(R) are 4x3 + 2x2 - 6, x3 – 2x2 + 4x+1, 3x3 – 6x2 + x +4. To determine whether the first polynomial can be expressed as a linear combination of the other two, we will use the Linear Combination Method.

The Linear Combination Method involves finding two sets of coefficients (a and b) that satisfy a certain linear equation. Specifically, the equation is:

a(4x3 + 2x2 - 6) + b(x3 – 2x2 + 4x+1) = (3x3 – 6x2 + x +4)

By comparing coefficients and solving the linear equation, we get a = -1/2 and b = 1. Therefore, the first polynomial can be expressed as a linear combination of the other two polynomials as:

-1/2(4x3 + 2x2 - 6) + 1(x3 – 2x2 + 4x+1) = (3x3 – 6x2 + x +4)

This demonstrates that the first polynomial can be expressed as a linear combination of the other two.

To know more about Linear Combination Method refer here :

https://brainly.com/question/7288349

#SPJ11

The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

Learn more about trigonometric identities at: https://brainly.com/question/7331447

#SPJ1

Answer:

infinite

Step-by-step explanation:

the law in most states in the usa states there must be 3 letters and 3 numbers so there could be infinite

                            -hope this helps-

Answer:

10. y= -3x + 5

11. y= -0.5x +2

Step-by-step explanation:

The statement about population parameters and point estimates that is false is, option (B) p is the sample mean. It is used to estimate the population mean.

Population parameters are quantitative measures that represent certain characteristics of the population of a given statistical analysis. The parameters are constant, precise numerical values that explain the population's statistical features. Population parameters are referred to as fixed or known values that are used to explain the population characteristics.Point estimates, on the other hand, are single values that are used to estimate the corresponding population parameter. Point estimates are generated using sample data, which represent a subset of the population. Point estimates are expected to provide an accurate representation of the population parameters but are subject to sampling error.What is the meaning of the false statement?Sample mean is the point estimate for population mean.The sample mean is an average value obtained from the sample data, whereas the population mean is the average value obtained from all possible samples of a given population. The sample mean is used to estimate the population mean, and the larger the sample size, the more accurate the estimate of the population mean. Therefore, option B is the false statement as the sample mean is used to estimate the population mean.

To know more about Population parameters visit

https://brainly.com/question/28175212

#SPJ11

The statement that is false about population parameters and point estimates is B.

p is the sample mean. It is used to estimate the population mean.

What are population parameters?

Population parameters are numerical values that represent the characteristics of the population. These characteristics are of two types; central tendency and variability. The central tendency refers to the mean, median, and mode of the data. The variability refers to the range, interquartile range, variance, and standard deviation of the data.

What are point estimates?

A point estimate is a single value that is used to estimate a population parameter. It is usually calculated using a sample from the population. The sample mean is a point estimate of the population mean, and the sample standard deviation is a point estimate of the population standard deviation.

What is the false statement about population parameters and point estimates?The false statement about population parameters and point estimates is B. p is the sample mean. It is used to estimate the population mean. The correct statement is that p is the point estimate of the population proportion.

To know more about population parameters visit

https://brainly.com/question/28175212

#SPJ11

Answer:

1. 4.125

2. 9.75

Step-by-step explanation:

The corresponding CDF is:F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X is 2. d. The variance of the given random variable X is π²/4 + 2π - 6.

The value of the constant A can be obtained by using the normalization condition that the integral of the PDF function over the entire possible range of X must be equal to 1. So, we can write the following integral to solve for

A:(∫f(x) dx) from 0 to π/2=∫A sin(x) dx= A [-cos(x)] evaluated at π/2 and 0= -A(cos(π/2) - cos(0))= A (1 - 0) =1. Therefore, the value of the constant A is 1. b. The CDF of the given random variable X is given as follows:

F(x)=∫f(x)dx from 0 to x, for 0 < x < π/2=∫sin(x) dx from 0 to x= [-cos(x)] evaluated at x and 0= -cos(x) - (-cos(0))= 1 - cos(x) for 0 < x < π/2=1 for x ≥ π/2. So, the corresponding CDF is as follows:

F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X can be obtained using the following formula:

E(X) = ∫xf(x)dx from 0 to π/2=∫x sin(x) dx from 0 to π/2= [-x cos(x)] evaluated at π/2 and 0 - ∫-cos(x) dx from 0 to π/2= -0 + cos(0) - ([-cos(x)] evaluated at π/2 and 0)= 0 + 1 - (-1)= 2. So, the expected value of the given random variable X is 2.

d. The variance of the given random variable X can be obtained using the following formula:

Var(X) = E(X²) - [E(X)]²=∫x² f(x)dx from 0 to π/2 - [E(X)]²=∫x² sin(x)dx from 0 to π/2 - (2)²= [-x² cos(x)] evaluated at π/2 and 0 + ∫2x cos(x)dx from 0 to π/2 - 4= -0 + π²/4 - 4 + (2 sin(x) + 2x cos(x)) evaluated at π/2 and 0= π²/4 - 2 - 4 + 2 + 2π= π²/4 + 2π - 6. So, the variance of the given random variable X is π²/4 + 2π - 6

Hence, the answer is: a. The value of the constant A is 1.b. The corresponding CDF is : F(x) = 1 - cos(x) for 0 < x < π/2F(x) = 1 for x ≥ π/2c. The expected value or mean of the given random variable X is 2. d. The variance of the given random variable X is π²/4 + 2π - 6

To know more about corresponding  visit:

brainly.com/question/31493107

#SPJ11

Answer:

The area is rational because the numbers in the formula are rational and the numbers substituted into the formula are rational

Step-by-step explanation:

The area is rational because the numbers in the formula are rational numbers. Then the correct option is C.

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.

Sam is determining the area of a triangle.

In this triangle, the value for the height is a terminating decimal, and the value for the base is a repeating decimal.

The area of the triangle will be

A = (1/2) x b x h

The product of the two rational number will remain rational number.

The area is rational because the numbers in the formula are rational , and the numbers substituted into the formula are rational.

Then the correct option is C.

More about the rational number link is given below.

https://brainly.com/question/9466779

#SPJ6

As per arithmetic progression the value of 15th term is 0.

An arithmetic progression, or A.P., is a sequence of numbers in which the difference between consecutive terms is constant.

To start, let's call the common difference "d" and the first term "a". We can use the formula for the nth term of an A.P., which is Tn = a + (n-1)d, where Tn is the nth term and n is the position of the term in the A.P.

Using this formula, we can find the 6th term and 9th term. For the 6th term, T6 = a + (6-1)d = a + 5d. For the 9th term, T9 = a + (9-1)d = a + 8d.

Now, using the information given, we can create an equation: 6(a + 5d) = 9(a + 8d). Expanding both sides and simplifying, we get:

6a + 30d = 9a + 72d

Subtracting 9a from both sides, we get:

-3a + 30d = 72d

Subtracting 30d from both sides, we get:

-3a = 42d

Dividing both sides by -3, we get:

a = -14d

Now that we have found the value of "a", we can use the formula for the nth term again to find the 15th term. T15 = a + (15-1)d = -14d + 14d = 0.

So, the 15th term of the A.P. is 0.

To know more about arithmetic progression here.

https://brainly.com/question/16947807

#SPJ4

Refer to the attachment for your answer, just remember the fact that as x is an integer in 2nd question and x > 3.66... so x's smallest value will just be 4, and in 1st question you can use the number line for a better understanding