Use the distance formula to find the exact distance between the two parallel lines.​

Answer:

682

Step-by-step explanation:

Population = 853,476

Number of violent crimes = 5817

We are to get violent crime rate per 100000 persons and interpret the result obtained.

Now if population is 1

Crime = 5817/853476

If population is 100000,

Crime = 5817x100000/853476

= 681.56

= 682

We conclude that the violent crime rate is of 682 crimes per 100000

Answer: i think its 58.9997

Step-by-step explanation:

Given:

Rate of sales tax = 7%

Marked price of an item = $19.94

To find:

The final cost of the item once tax is included.

Solution:

We have,

Rate of sales tax = 7%

Marked price of an item = $19.94

\(\text{Sales tax}=\dfrac{7}{100}\times 19.94\)

\(\text{Sales tax}=1.3958\)

Now, final cost of the item once tax is included is

\(\text{Final cost}=\text{Marked price}+\text{Sales tax}\)

\(\text{Final cost}=19.94+1.3958\)

\(\text{Final cost}=21.3358\)

Therefore, the final cost of the item once tax is included is $21.3358.

The expected value of the number of upgrades selected is 1.04.

The given probability mass function provides the probabilities for the number of upgrades purchased per customer. We are asked to find the expected value, which is a measure of central tendency in probability theory. To do this, we need to multiply each possible value of upgrades by its probability and then sum them up.

First, we need to figure out the value of f(3). We know that the sum of all probabilities in a probability mass function is 1. Therefore, we can use the given probabilities to calculate f(3) as follows:

1 = f(0) + f(1) + f(2) + f(3)

1 = 0.50 + 0.20 + 0.06 + f(3)

f(3) = 1 - (0.50 + 0.20 + 0.06)

f(3) = 0.24

Now that we know the value of f(3), we can calculate the expected value as follows:

E(X) = (0 x 0.50) + (1 x 0.20) + (2 x 0.06) + (3 x 0.24)

E(X) = 0 + 0.20 + 0.12 + 0.72

E(X) = 1.04

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Answer:

I hope this helps!

Answer: The answer is in the picture.

Step-by-step explanation: But what is the sum?

Answer:

Money can be defined as anything that people use to buy goods and services. Money is what many people receive for selling their own things or services.

Answer:

A. The coefficients of the sum are whole numbers and the sum is a polynomial.

Step-by-step explanation:

The approach to demonstrate the closure property for the sum consists in defining what a polynomial is and demonstrate that the sum of two polynomials with integer coefficients is equal to a polynomial with integer coefficients. We proceed to show the proof below:

1) \(5\cdot m -3\), \(2\cdot m + 4\) Given

2) \((5\cdot m -3)+(2\cdot m +4)\) Definition of addition

3) \((5\cdot m +2\cdot m ) +[(-3)+4]\) Definition of substraction/Associative and Commutative properties

4) \((5+2)\cdot m +1\) Distributive property/Definition of substraction

5) \(7\cdot m +1\) Definition of addition/Result

Hence, the coefficients of the sum are whole numbers and the sum is a polynomial. The correct answer is A.

Answer:

15-20i

Step-by-step explanation:

Hello,

When l =-1

6+l = 6-1 = 5

and 5(3-4i)=15-20i

Thanks

Answer:

9x - 6

Hope this helps! <3

(If you need a step by step lmk)

Answer:

6x+3(x-2)

6x+3x-6

9x-6

The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),

To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:

h = h0 + v0t + 1/2at^2

where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).

In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.

At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:

v = v0 + at

we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:

0 = 108 - 32.2t

t = 108/32.2 ≈ 3.35 s

Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.

Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:

h_hill = h0 + v0t + 1/2at^2 - h_top

where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:

h_top = h0 + v0^2/2a

Plugging in the given values, we get:

h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft

Plugging this into the first equation, we get:

h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78

h_hill ≈ 25.73 ft

If the arrow is launched at t0, the equation describing velocity as a function of time would be:

v(t) = v0 - gt

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Answer:

4/8

Step-by-step explanation:

4/8 is equivalent to 1/2

Answer:

4/8 = 2/4 = 1/2

Step-by-step explanation:

At x = 0 and x = 7, the function g(x) is undefined.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression of the function is,

⇒ g (x) = 6 / x (x - 7)

Now, We know that;

The function f(x) = a(x) /b (x) is not defined at b (x) ≠ 0

Here, The expression of the function is,

⇒ g (x) = 6 / x (x - 7)

So, Function g (x) is not defined when,

x (x - 7) = 0

⇒ x = 0

or, x - 7 = 0

⇒ x = 7

Thus, At x = 0 and x = 7, the function g(x) is undefined.

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Answer:

We must know what DF and JK are.

Step-by-step explanation:

SAS similarity is when two sides are proportional and the corresponding angles are congruent.

K and F are congruent (A)

KL and GF seem to have a proportion of 5/6 or 6/5 (S)

We need the other S to prove SAS.

Answer:

a) [-9,8)

b) [-5,5]

c) (-4,0), (1,6)

d) [-9,-4), (6,8)

e) [0,1]

f) just the y-value: 5;  as a point: (-8,5)

g) just the y-value: -5;  as a point: (-4,-5)

Step-by-step explanation:

a) Domain is all of the x-values that are defined in the function. The smallest x-value in the graph is -9, and the largest is 8. And all values in between are defined (have corresponding y-values). But notice that there's an open dot on (8,0).

b) Range is found the same way as Domain, but with the y-values. The smallest y-value of this function is -5, and the largest is 5.

For c-e, notice where the graph changes direction and draw a vertical line from the x-axis through the turning point. These lines are the boundaries between intervals of increasing/decreasing/constant. You should have vertical lines at x=-4, x=0, x=1, and x=6.

c) Interval(s) on which f(x) is increasing: Reading the graph from Left To Right, between which vertical lines is the graph going up?

d) Interval(s) on which f(x) is decreasing: Reading the graph from Left To Right, between which vertical lines is the graph going down?

e) Interval(s) on which f(x) is constant: Reading the graph from Left To Right, between which vertical lines is the graph staying flat?

f) Look for the highest non-infinity point on the graph

g) Look for the lowest non-infinity point on the graph

Answer:

  C. RP = 4.5

Step-by-step explanation:

You want to know what condition is sufficient to show ∆ABC ~ ∆QPR, given  three sides and 2 angles in ∆ABC, and 2 sides in ∆QPR.

Similarity can be shown if all three sides are proportional, or if two angles are congruent.

The offered answer choices only list one angle, so none of those will work. The answer choice that makes the third side of ∆QPR be in the same proportion as the corresponding side of ∆ABC is the condition of interest.

  C. RP = 4.5

__

Additional comment

The side ratios in the two triangles are ...

  AB : BC : CA = 10 : 9 : 6

  QP : PR : RQ = 5 : PR : 3

For these ratios to be the same, PR must be half of BC, just as the other segments in ∆QPR are half their counterparts in ∆ABC.

Answer:

0.87

Step-by-step explanation:

standard error SE formula = σ/√n

where σ is the standard deviation and n is size of the sample.

SE = σ/√n = 2.45/√8

= 0.866

= 0.87 to 2 decimal places

Answer:

Bases

Step-by-step explanation:

Answer: 15cm

Step-by-step explanation: If the length of the model on the top is 6 cm, then the length of the model on the bottom must be 15 cm

Answer:7 boxes

Step-by-step explanation:

She has 115 books which each box hold 17 so 115/17 is 6. Something so you have to round it to 7 to be able to fit them all

Given that, the estimated population of Los Angeles in 2019 was 3,979,576 and its  area is 469 square miles, the population density of Los Angeles is  8486 people per square miles.

Population density simply the measurement of population per unit area.

It is expressed as;

Population density = Number of people / Area

Given the data in question;

We substitute the given values into the above equation.

Population density = Number of people / Area

Population density = 3,979,576 people / 469 square miles

Population density = 8485.23667 ≈ 8486 people per square miles

Given that, the estimated population of Los Angeles in 2019 was 3,979,576 and its  area is 469 square miles, the population density of Los Angeles is  8486 people per square miles.

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The height of the equilateral triangle is a = 5√3 inches

Given data ,

Since the triangle is equilateral, all sides are of equal length.

Let's call the length of one side x.

Therefore, the perimeter of the triangle is 3x, which is given to be 30 inches.

On simplifying , we get

3x = 30

x = 10

Now, we know that the height of an equilateral triangle is given by the formula:

height = √3/2 x

Substituting the value of x, we get:

height = √3/2 x 10

height = 5√3 inches

Hence , the height of triangle is 5√3 inches

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Answer:

.

Step-by-step explanation:

Answer:

0.0025

Step-by-step explanation:

Answer:

Multiply and then Divide

Step-by-step explanation:

The missing number in Sequence 2 is 780.

To find the missing number in Sequence 2, let's analyze the pattern:

In Sequence 1, the numbers increase by 1 each time: 126, 127, 128, 129, ...

In Sequence 2, the numbers seem to follow a pattern where each number is obtained by multiplying the corresponding number in Sequence 1 by a certain factor:

2 x 126 = 252

3 x 127 = 381

4 x 128 = 512

5 x 129 = 645

...

Looking at this pattern, we can see that the missing number in Sequence 2 should be:

6 x 130 = 780

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The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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Answer:

D. 24

Step-by-step explanation:

multiply length times width to get area