(Lesson 31) The population of Jacksonville, Florida, was 736,000 in 2000 and was increasing at a rate of 1.49% each year. At
this rate, when will the population exceed 1 million?
A.) 2005
B.) 2014
C.) 2019
D.) 2021

Answer: -4x+10

Step-by-step explanation: .

Answer:

You will pay $1.35.

Step-by-step explanation:

4.5%=0.045

0.045*30=1.35

Answer:

The coordinates of the midpoint are the arithmetic means of the respective coordinates of the endpoints.

The endpoints:

R(6,-2)

x₁=6

y₁=-2

S(x,y)

x₂=x

y₂=y

The midpoint:

M(5,3)

\begin{gathered}\frac{6+x}{2}=5 \\ 6+x=5 \times 2\\ 6+x=10 \\ x=10-6 \\ x=4 \\ \\ \frac{-2+y}{2}=3 \\ -2+y=3 \times 2 \\ -2+y=6 \\ y=6+2 \\ y=8\end{gathered}26+x=56+x=5×26+x=10x=10−6x=42−2+y=3−2+y=3×2−2+y=6y=6+2y=8

The coordinates of S are (4,8).

Answer : It Is 42

◊ YusuCr ◊

The probability that a single randomly selected value is between -0.2 and 32.7 is 0.0039.

We have to find the required probability:

we have the normal distribution with u = 0.2 and 32.7

sample size = n = 108

the values have normal distribution,

let x be the values, so x follows normal distribution,

so x ~ n(u = 0.2, 32.7)

If x~ n then z = x-n ~(0,1)

let s = sample mean

a) to find the probability distribution of randomly selected value =

P (-0.2 < N (0,1) < 32.7)

when we solve for n, the probability that a single randomly selected value is between -0.2 and 32.7 is 0.0039.

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Answer:

321.44

Step-by-step explanation:

(234.67+150)-63.23

Answer:

C

Step-by-step explanation:

When multiplying scalars and matrices, just distribute the scalar to every component of the matrix. So 4*6=24, -2*6= -12, 6*6 = 36, 7*6 = 42, 3*6 = 18, and 0*6 = 0.

Answer:

ab - bc = 6

Step-by-step explanation:

COMPUTATION:

ab - bc = ?

(2 x -3) - (-3 x 4) = ?

(-6) - (-3 x 4) = ?

(-6) - (-12) = ?

-6 + 12 = 6

Hope this helps!

Answer:

To solve a system of equations without graphing, you can use one of several methods, such as substitution or elimination. Here's how you can solve this system using substitution:

First, solve one of the equations for one of the variables in terms of the other variable. For example, you can solve the first equation for y:

5x + 14y = -5

y = (-5 - 5x) / 14

Substitute this expression for y into the second equation, to get an equation in terms of x:

-3x + 10((-5 - 5x) / 14) = 72

Simplify this equation to get an equation in terms of x:

-3x - 50 - 35x = 72

-38x - 50 = 72

-38x = 122

x = -3.316

Substitute this value for x back into one of the original equations to solve for y:

y = (-5 - 5(-3.316)) / 14

y = (5 + 16.58) / 14

y = 21.58 / 14

y = 1.546

So the solution to the system of equations is (x, y) = (-3.316, 1.546).

Alternatively, you could solve the system using elimination. To do this, you would add the two equations to eliminate one of the variables, and then solve the resulting equation for the remaining variable.

Based on the right triangle altitude theorem, the term that completes the equation is: a. YZ.

The right triangle altitude theorem state that when an altitude is drawn to from the vertex of a right triangle to intersect the opposite side perpendicularly, the length of the altitude would be equal to the geometric mean of the line segments that are formed by the altitude on the right triangle's hypotenuse.

In other words, the square of the length of the altitude equals the product of the line segments formed, according to the right triangle altitude theorem.

XZ = altitude

WY = hypotenuse

WZ and YZ are the line segments formed.

Therefore, the equation would be:

XZ² = (WZ)(YZ) [right triangle altitude theorem]

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Answer:

https://cdn.kutasoftware.com/Worksheets/PreAlg/Reflections%20of%20Shapes.pdf

Step-by-step explanation:

pls search this

Answer:

A. M'(-6,-2)

Step-by-step explanation:

The length of the diagonal is 12.6 feet.

"Information available from the question"

The perimeter of a rectangle is 32 feet.

The length is three times as long as the width.

We have to find the length of the diagonal.

Let w = width

then

3w = length.

Because we know the perimeter:

Perimeter of the rectangle is : 2(l + w)

32 = 2(w + 3w)

32 = 2(4w)

16 = 4w

4 feet = w (width)

Length:

3w = 3(4) = 12 feet

Diagonal, we use the Pythagorean theorem:

Let d = diagonal

then,

\(d^2 = 4^2 + 12^2\)

\(d^2\) = 16 + 144

\(d^2\) = 160

d = 12.6 feet

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Answer:

i think its a irrational number but i could be wrong! :)

Step-by-step explanation:

Answer:

24.549 pounds

Step-by-step explanation:

The amount of time that Nora practices flips is; t = 1 ¹/₄

How to Solve Algebra problems?

The BODMAS rule would be used to simplify the expression, BODMAS is an abbreviation for bracket, of, division, multiplication, addition and subtraction. It dictates the order in which a mathematical expression should be solved.

We are told that;

Nora spends time practicing flips on the trampolines. Let this be t.

Then, she spends 1/2 of an hour eating birthday cake with her friends.

Thus, total amount of time spent on flips and eating with her friends is;

t + ¹/₂ = 1 ³/₄

t = 1 ³/₄ - ¹/₂

t = 1 ¹/₄

Thus , the amount of time that Nora practices flips is; t = 1 ¹/₄

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Given question is incomplete , Complete Question is;

After arguing for two weeks, Nora convinced her parents to have her birthday party at FlyZone trampoline park. As soon as she gets there, Nora spends time practicing flips on the trampolines. Then, she spends 1/2 of an hour eating birthday cake with her friends. In all, Nora spends 1 3/4 hours at FlyZone. Which equation can you use to find the amount of time Nora practices flips?

Solve this equation for (t) to find the amount of time Nora practices flips

Answer:

10\(\frac{7}{15}\)  in

Step-by-step explanation:

Use the volume formula for a rectangular prism, V = lwh

Plug in the volume, length, and width, then solve for the height

V = lwh

157 = (5)(3)(h)

157 = 15h

10\(\frac{7}{15}\) = h

So, the box's height is 10\(\frac{7}{15}\) in

Answer:

10 1/2 inches

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

we can use this formula to find percent of change:

(new value minus original value) divided by original value

(15 - 12) / 12 = 3/12 or 1/4, which is 25%

The percentage markup of the T-shirts =25%

The original cost of each T-shirt = $12

The cost it would be should at souvenir shop = $15

The markup prize = 15 – 12 = $3

The percentage of $3 of original cost of $12 =

3/12 × 100

= 300/12

= 25%

Therefore, the percentage markup of the T-shirts = 25%

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look at the step by step explanation.

Step-by-step explanation:

Triangle inequality theorem - the sum of the two shorter sides has to be greater than the longest side, which is 8. This is not possible because the sum of the two shorter sides is 8 which is not greater than the longest side.

Answer:

Complicated answer.

Step-by-step explanation:

So, if one side length is 8 the perimeter of a triangle cannot be 16 this is because a triangle has three sides and 8 multiplied by three would not be 16 so we have two possible conclusions.

1. The perimeter is actually 24

2. The side lengths are actually 4

Hope I helped! Have a silver dollar day! :) Please give me brainliest! Thanks Adios!

Answer:

9-2x=1

-2x=-8

x=4

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

-3x-x=1-9

-4x=-8

x=-8/-4

x=2

plz mark as brainliest

Answer:

$986.28

Step-by-step explanation:

$124.21 + $211.94 = $336.15

700 - 336.15 = 363.85

622.43 + 363.85 = 986.28

Answer: 130

Step-by-step explanation:
A = pq/2

P = 26

Q = 10

26*10 = 260

260/2 = 130

Hope this helps!!

The true statements from the given diagram are options B. q ⊥ n and C. m || n.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Given is a diagram of coordinate plane which consists of lines p, q, m and n.

A. Parallel lines will not intersect at any point.

So, clearly p is not parallel to q, since there is an intersection point.

B. The product of the slopes of two perpendicular lines is -1.

Find the slope of q and n.

q passes through (6, 15) and (0, 0).

Slope = Change in y coordinates / Change in x coordinates

          = (0 - 15) / (0 - 6) = 15/6 = 5/2

n passes through (-5, 0) and (0, -2).

Slope = (-2 - 0) / (0 - -5) = -2/5

Product of both slopes = \(\frac{5}{2}\) × \(\frac{-2}{5}\) = -1

So lines q and n are perpendicular.

C. Slopes of two parallel lines are equal.

m passes through (-2, 7) and (3, 5).

Slope = (5 - 7) / (3 - -2) = -2/5

Slope of n is already get as -2/5 at B.

So the lines m and n are parallel.

D. p passes through (6, 15) and (10, 5).

Slope = (5 - 15) / (10 - 6) = -10/4 = -5/2

Product of slopes of p and m = 1, not -1.

So the lines p and m are not perpendicular.

Hence the correct options are B and C.

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Your question is incomplete. Most probably, the diagram for the complete question is given below.

Which of the following statements are true? Select all that apply. A. p || q B. q ⊥ n C. m || n D. p ⊥ m

Answer:

See Below

Step-by-step explanation:

150 = p + 78    ------ you want to get the p to one side and the other number the the other side of the =

(78 - 150) = p (78 - 78)   ---- what ever you do to one side you do to the other

72 = p

s - 51 = 12 (same thing as above)

s (-51 + 51)  = 12 + 51

s = 63

65 = blank + 7 ( you can put a letter like x or y because they number is not determined yet)

65 = x + 7 (same as above)

( 7 - 65 ) = x ( 7 - 7 )

58 = x

Answer:

dont know answer sorry minsan tama na sagot

According to the derivative, the critical points are (0,0) and (0,0) along with any point of the form (3y, y) where y is any real number.

Derivatives are an essential concept in calculus that help us analyze the behavior of a function. In this problem, we are given a two-variable function f(x,y) and asked to find its critical points and classify them using the second derivative test. Critical points are the points where the partial derivatives of the function are zero or undefined.

To find the critical points of f(x,y) = x³ – 3x³y, we need to find the partial derivatives with respect to x and y and set them equal to zero.

Taking the partial derivative of f(x,y) with respect to x, we get:

fx = 3x² - 9xy

Similarly, taking the partial derivative of f(x,y) with respect to y, we get:

fy = -3x³

Setting fx and fy equal to zero and solving for x and y, we get:

3x² - 9xy = 0 --> 3x(x - 3y) = 0 --> x = 0 or x = 3y

-3x³ = 0 --> x = 0

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The probability of selecting all 3 blue balls is 0.050

C(6,3) = 6! / (3! * (6-3)!) = 20

There is only 1 way to select all 3 blue balls, since there are only 4 blue balls in the urn. Therefore, the probability of selecting all 3 blue balls is:

P(all blue) =\(\frac{1}{20}\)

Rounding this to three decimal places, we get:

P(all blue) ≈ 0.050

Probability is a branch of mathematics that deals with the study of the likelihood or chance of an event occurring. It is often used to make predictions or determine the chances of success or failure in various situations. Probability is expressed as a number between 0 and 1, where 0 represents an event that is impossible, and 1 represents an event that is certain to occur. The higher the probability of an event, the more likely it is to occur.

There are two types of probability: theoretical probability and experimental probability. Theoretical probability is based on mathematical calculations and is used to predict the likelihood of an event occurring in an ideal situation. Experimental probability, on the other hand, is based on actual observations and data collected from experiments or real-life situations.

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Answer:

D. 7x - 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 5x - 2

g(x) = 2x + 1

Step 2: Find

The probability of drawing two balls from each box is 0.063, or 6.3%.

The probability of drawing two balls from each box, we need to calculate the probabilities of drawing a ball from each box separately and then multiply them together.

In Box A, the probability of drawing a white ball on the first draw is 10/25. After drawing a white ball, there are 9 white balls left out of a total of 24 balls, so the probability of drawing a white ball on the second draw from Box A is 9/24. Multiplying these probabilities together gives us (10/25) × (9/24) = 0.18.

Similarly, in Box B, the probability of drawing a white ball on the first draw is 15/25. After drawing a white ball, there are 14 white balls left out of a total of 24 balls, so the probability of drawing a white ball on the second draw from Box B is 14/24. Multiplying these probabilities together gives us (15/25) × (14/24) = 0.35.

The overall probability of drawing two balls from each box, we multiply the probabilities together: 0.18 × 0.35 = 0.063.

Therefore, the probability of drawing two balls from each box is 0.063, or 6.3%.

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