What is the slope of the line that passes through the points (5, 1) and (2, -7)?

The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm

Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.

The time that school ends = 3:15 pm

The latest time for pick up after school care = 150 minutes after school ends

Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes

60 minutes = 1 hour

150 minutes = (1/60) × 150 = 2.5

The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm

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Answer:

6

Step-by-step explanation:

6 x 6 = 36

Answer:

A & D

Step-by-step explanation:

Exponential decay is where the b value (usually the value in parentheses) is less than 1. Anything where that value is less than 1 is decay.

Given the relationship between the random variables X and Y, Y = 7.00X + 8.34, and the properties of X (mean of zero and variance of 1), the expected value of Y^2 is 118.5556.

We can find the expected value of Y^2.
First, let's find the mean (expected value) of Y. Since the mean of X is zero, E(Y) = 7.00 * E(X) + 8.34 = 7.00 * 0 + 8.34 = 8.34.
Next, let's find the variance of Y. The variance of Y, Var(Y), can be determined by the relationship Var(Y) = a^2 * Var(X), where a is the coefficient of X (in this case, 7.00). So, Var(Y) = 7.00^2 * 1 = 49.
Now, we can find the expected value of Y^2 using the formula E(Y^2) = Var(Y) + E(Y)^2. Plugging in the values, E(Y^2) = 49 + 8.34^2 = 49 + 69.5556 = 118.5556.
Therefore, the expected value of Y^2 is 118.5556.

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Answer:

6x-34-20%

(please give brainliest, it really helps a lot!)

You need to just focus on the units, (I believe that the percentage was just meants to throw you off)

Answer:

3x - 8

Step-by-step explanation:

The equation in slope-intercept form is y = 3x - 8

Slope intercept form is y = mx + b.

The m is the slope, which you can calculate using any two points from the table. Or use the table to observe the pattern "x increase by 1" and " y increase by 3". Slope is the change in y over the change in x. Here the change in y is 3. And change in x is 1. So slope is 3/1, which is just 3.

The b in the

y = mx + b is the y-intercept, where the graph crosses the y-axis. The point on the table is (0,-8) So in this case the b is -8.

So we fill in these numbers m=3, b=-8 into y=mx+b and get the answer.

y = 3x - 8

Answer:

x=20. y=15

Step-by-step explanation:

in similar triangles the sides are all in proportion. this means:

\( \frac{25}{5} = \frac{x}{4} = \frac{y}{3} \)

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

so:

\( \frac{x}{4} = 5\)

x=5×4

x=20

and...

\( \frac{y}{3} = 5\)

y=3×5

y=15

Answer:

the area after 6 years is  3,473 km^2

Step-by-step explanation:

The computation of the area after 6 years is as follows:

= Area × (1 - decreased percentage)^number of years

= 4,800 km^2 × (1 - 5.25%)^6

= 4,800 km^2 × 0.9475^6

= 3,473 km^2

Hence, the area after 6 years is  3,473 km^2

The question asks which of the given options are valid vector products. The options include different vector operations involving vectors A and B, such as scalar multiplication, dot The question asks which of the given options are valid vector products. The options include different vector operations involving vectors A and B, such as scalar multiplication, dot product, cross product, and magnitude calculations.

Among the given options, the valid vector products are C and E.

Option C represents the cross product of vectors A and B, which is a valid vector product. The cross product of two vectors results in a new vector that is orthogonal (perpendicular) to both vectors.

Option E represents the magnitude of the cross product of vectors A and B, which is also a valid vector product. The magnitude of the cross product represents the area of the parallelogram formed by the two vectors and is equal to the product of their magnitudes multiplied by the sine of the angle between them.

The other options, A, B, and D, do not represent valid vector products. Option A represents scalar multiplication of vector A by a scalar c, which results in a scaled version of vector A but not a new vector product. Option B represents component-wise multiplication, not a  valid vector product. Option D represents the dot product, which results in a scalar value, not a vector product.

In summary, the valid vector products among the given options are C and E, representing the cross product and magnitude of the cross product, respectively.

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Answer:

p = 6

Step-by-step explanation:

$7.00 × p + 3 = 45

Simplify to:

7p + 3 = 45

- 3 - 3

7p = 42

÷7 ÷7

p = 6

The critical numbers of the function f(x) = \(3x^4 + 8x^3 - 48x^2\) are x = -2, x = 0, and x = 4.

To find the critical numbers of a function, we need to find the values of x where the derivative of the function is either zero or undefined.

Let's start by finding the derivative of the function f(x) = \(3x^4 + 8x^3 - 48x^2\). Taking the derivative with respect to x, we get:

f'(x) = \(12x^3 + 24x^2 - 96x\)

Now, to find the critical numbers, we set the derivative equal to zero and solve for x:

\(12x^3 + 24x^2 - 96x = 0\)

Factoring out 12x, we have:

\(12x(x^2 + 2x - 8) = 0\)

Now, we can solve for x by setting each factor equal to zero:

12x = 0          --->   x = 0

\(x^2 + 2x - 8 = 0\)

Using the quadratic formula, we find the roots of the quadratic equation:

x = (-2 ±\(\sqrt{ (2^2 - 4(1)(-8))}\)) / (2(1))

   = \((-2 ± sqrt(36)) / 2\)

  = (-2 ± 6) / 2

Simplifying, we have:

x = -2 + 6 = 4

x = -2 - 6 = -8

However, since we are looking for the critical numbers within a specific domain, we discard x = -8 as it is outside the domain.

Therefore, the critical numbers of the function are x = -2, x = 0, and x = 4.

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Answer: 1,250,000

Step-by-step explanation:

Answer:

A. 27°

Step-by-step explanation:

triangle PST is congruent to triangle LKR

<S corresponds to <K.

m<S = m<K = 27°

Step-by-step explanation:

angle tsp=angle rkp=27°

angle S=360-27°

angle S=333°

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Answer:

6 3/4 feet

Step-by-step explanation:

Answer:

6 3/4 feet

Step-by-step explanation:

2 1/4 x 3 = 6 3/4

Given:

Goal = 250 cans

Number of collected cans = 290

To find:

The percent of their goal they achieved.

Solution:

The percent of their goal they achieved is:

\(\text{Required percent}=\dfrac{\text{Number of collected cans}}{\text{Goal}}\times 100\)

\(\text{Required percent}=\dfrac{290}{250}\times 100\)

\(\text{Required percent}=\dfrac{29}{25}\times 100\)

\(\text{Required percent}=29\times 4\)

\(\text{Required percent}=116\)

Therefore, they achieved 116% of their goal.

These probabilities are obtained by standardizing the values using the formula z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation.

(a) The probability that X is less than 49 in a normal distribution with μ=51 and σ=8 is approximately 0.0062, or 0.62%.

(b) The probability that X is between 49 and 50.5 in the same normal distribution is approximately 0.1499, or 14.99%.

(a) To find the probability that X is less than 49 in a normal distribution with μ=51 and σ=8, we need to calculate the cumulative probability using the standard normal distribution table or a calculator. Using either method, we find that the probability is approximately 0.0062, or 0.62%.

(b) Similarly, to find the probability that X is between 49 and 50.5, we calculate the difference between the cumulative probabilities of 50.5 and 49. Using the standard normal distribution table or a calculator, we find that the probability is approximately 0.1499, or 14.99%.

These probabilities are obtained by standardizing the values using the formula z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation. By looking up the standardized values in the standard normal distribution table, we can determine the corresponding probabilities.

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Answer:

8.9 grams per centimeters cubed

Step-by-step explanation:

The formula for density is D=M÷V

Just divide 222.50 by 25.00 and you are done.

The missing information are,

Person   Percentage  Fractional  Central angle  Amount   Amount of

                                  amount                          of cookies   frosting

Cousin    50%             1/2              180°               25.15 in²  12.55 in²

Jacob

Sister1     25%            1/4                90°               12.58 in²  6.275 in²

Uncle      75%            3/4               270°              37.73 in²  18.83 in²  

Aunt        10%             1/10               36°                5.03 in²     2.51 in²  

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

I want serve cookie саке at my party.

And, Each cookie cake is 8 inches long.

Hence, The missing information are,

Person   Percentage  Fractional  Central angle  Amount   Amount of

                                  amount                          of cookies   frosting

Cousin    50%             1/2              180°               25.15 in²  12.55 in²

Jacob

Sister1     25%            1/4                90°               12.58 in²  6.275 in²

Uncle      75%            3/4               270°              37.73 in²  18.83 in²

Aunt        10%             1/10               36°                5.03 in²     2.51 in²

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The expression is only true for a = 5.

An expression is a combination of numbers, variables, and operations that represents a quantity or a mathematical relationship. It can be a simple or complex representation of a value or function, and it can be evaluated or simplified using algebraic or numerical methods.

The given expression is:

(1/2)a - 5 (1/2) = (5 - a)

To find the values of 'a' that make this expression true, we can simplify and solve the equation:

(1/2)a - 2.5 = 5 - a

Adding 'a' to both sides:

(3/2)a - 2.5 = 5

Adding 2.5 to both sides:

(3/2)a = 7.5

Multiplying both sides by 2/3:

a = 5

Therefore, the expression is true when a = 5.

To verify, we can substitute a = 5 into the original expression:

(1/2)(5) - 5 (1/2) = (5 - 5)

2.5 - 2.5 = 0

The expression evaluates to 0, which is true.

Therefore, the expression is only true for a = 5.

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The set of all symmetric 3x3 matrices satisfies all three conditions for a subspace, it is indeed a subspace of M33

To determine whether the set of all symmetric 3x3 matrices is a subspace of M33, we need to check if it satisfies the three conditions for a subspace:

Closure under addition: If A and B are both symmetric 3x3 matrices, then A+B will also be a symmetric 3x3 matrix since \((A+B)^T = A^T + B^T = A + B\). Therefore, the set is closed under addition.

Closure under scalar multiplication: If A is a symmetric 3x3 matrix and c is a scalar, then cA will also be a symmetric 3x3 matrix since \((cA)^T = cA^T = cA\). Therefore, the set is closed under scalar multiplication.

Contains the zero vector: The zero vector in M33 is the matrix of all zeroes. This matrix is also a symmetric 3x3 matrix since all its entries are equal. Therefore, the set contains the zero vector.

Since the set of all symmetric 3x3 matrices satisfies all three conditions for a subspace, it is indeed a subspace of M33.

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The velocity function is s'(t) = 6t - 2, and the units are feet per minute. The acceleration function is s''(t) = 6, and the units are feet per minute squared.

a) To find the velocity, which is the derivative of the position function with respect to time, we need to use the limit definition of the derivative:

s'(t) = lim(h→0) [s(t+h) - s(t)] / h

= lim(h→0) [(3(t+h)2 - 2(t+h) + 1) - (3t2 - 2t + 1)] / h

= lim(h→0) [3t2 + 6th + 3h2 - 2t - 2h + 1 - 3t2 + 2t - 1] / h

= lim(h→0) [6th + 3h2 - 2h] / h

= lim(h→0) [6t + 3h - 2]

= 6t - 2

b) To find the acceleration, which is the derivative of the velocity function with respect to time, we need to take the derivative of the velocity function:

s''(t) = d/dt [6t - 2]

= 6

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Answer:

21 square cm

Step-by-step explanation:

\( b_1 = 9 \:cm, \: b_2 = 5 \:cm, \: h = 3\: cm\\

Area\: of\: trapezium\\

= \frac{1}{2} (b_1 +b_2)\times h\\\\

= \frac{1}{2} (9 +5)\times 3\\\\

= \frac{1}{2} \times 14 \times 3\\\\

= 7 \times 3\\\\

= 21 \: cm^2 \)

Answer:

168 sq

Np also you could've just searched it up

Answer:

g(x) = \(4^{(x-1)}+3\)

Step-by-step explanation:

Given exponential function is,

f(x) = \(4^{x}\)

If the given function is shifted 1 unit to the right,

h(x) = f(x - 1)

      = \(4^{(x-1)}\)

If the function 'h' is shifted 3 units up,

g(x) = h(x) + 3

      = \(4^{(x-1)}+3\)

Therefore, transformed function will be,

g(x) = \(4^{(x-1)}+3\)

Answer:

-1 3/8

Step-by-step explanation:

-2.25 + 0.4x = -2.8

-2.25 + 2.25 + 0.4x = -2.8 + 2.25  ==> add 2.25 on both sides to isolate x

0.4x = -0.55

(0.4x = -0.55)*20 ==> multiply the equation by 20 to remove decimals

8x = -11

x=-11/8

x=-(3+8)/8  ==> turn x into a mixed number

x=-3/8 - 8/8

x=-3/8 - 1 ==> simplify

x=-1 - 3/8

x=-(1 + 3/8)

x=-1 3/8

Answer:

Using the volume formula we know that (B) 27 cubes can be fitted into the right rectangular prism.

What is the right rectangular prism?

The right rectangular prism has four rectangle-shaped side faces and two parallel end faces that are perpendicular to each of the bases.

Parallelograms make up the sides of an oblique prism, a non-right rectangular prism.

A cuboid is yet another name for a right rectangle prism.

So, the volume of the right rectangular prism:

V = wlh

Insert values:

V = wlh

V = 6*8*4.5

V = 216cm³

Now, the volume of the cube:

V = a³

V = 2³

V = 8cm³

Then, the number of cubes that can be fitted in the right rectangular prism:

216/8 = 27

Therefore, using the volume formula we know that (B) 27 cubes can be fitted into the right rectangular prism.

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Correct question:

How many cubes, with side measures of 2 cm, will fit inside a right rectangular prism with dimensions of 6 cm by 8 cm by 4 1/2 cm?

Group of answer choices

a. 24

b. 27

c. 108

d. 54

The final answer is 27

To determine how many cubes will fit inside the right rectangular prism, we need to find the volume of the prism and the volume of the cubes, then divide the volume of the prism by the volume of the cubes.

Volume of a cube (V_cube) = side^3
V_cube = 2 cm * 2 cm * 2 cm = 8 cubic cm

Volume of the right rectangular prism (V_prism) = length * width * height
V_prism = 6 cm * 8 cm * 4.5 cm = 216 cubic cm

Now, divide the volume of the prism by the volume of the cubes:
Number of cubes = V_prism / V_cube = 216 cubic cm / 8 cubic cm = 27 cubes

Therefore, 27 cubes with side measures of 2 cm will fit inside the right rectangular prism.

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the answer is  y = 16.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.

here, we have,

E(-6, y), F(6, 5), G(14, 11), and H(8,-13),

& EF is perpendicular to GH.

now, we get,

The slope of GH is ...

G -H = (14, 11) -(8, -13) = (6, 24) = (Δx, Δy)

slope = Δy/Δx = 24/6 = 4

The perpendicular line through F will have a slope of the negative reciprocal of this, or -1/4.

The point-slope form of the equation can be written as ...

y -k = m(x -h) . . . . . line with slope m through point (h, k)

The perpendicular line through F is then ...

 y -13 = (-1/4)(x -6)

For an x-value of -6, the value of y will be ...

y = (-1/4)(-6 -6) +13 = 12/4 +13 = 16

hence, The value of y so that EF is perpendicular to GH is 16.

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\(\frac{11}{-6}\)