The distance of a pathway around a park is 4 1/5 miles. The park manager wants to place lampposts every 3/10 mile. How many lampposts in all will be places in the pathway A - 12 B- 14 C- 24 D- 28

Answer:

The vertex is the point (4,3)

Step-by-step explanation:

we have

[tex]y=\frac{3}{4}x^{2}-6x+15[/tex]

Convert to vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex]y-15=\frac{3}{4}x^{2}-6x[/tex]

Factor the leading coefficient

[tex]y-15=\frac{3}{4}(x^{2}-8x)[/tex]

Complete the square. Remember to balance the equation by adding the same constants to each side.

[tex]y-15+12=\frac{3}{4}(x^{2}-8x+16)[/tex]

[tex]y-3=\frac{3}{4}(x^{2}-8x+16)[/tex]

Rewrite as perfect squares

[tex]y-3=\frac{3}{4}(x-4)^{2}[/tex]

[tex]y=\frac{3}{4}(x-4)^{2}+3[/tex] ----> equation in vertex form

The vertex is the point (4,3)

She profited $110 because $10 per dozen equals to $150. Then, you subtract $40 then you have $110. Hope my answer helped. (:

10x15=150

150-40=110

110 is the profit!

hope this helped!

Answer: 1 and 1/5 pounds

Step by step explanation:

Find a common denominator.

In this particular equation we’ll use 15. Take 4/5 and multiply that by 3/3 and you get 12/15. Then take 2/3 and multiple that by 5/5, you then get 10/15. (That step was simply so we can compare the data easier, it is a crucial step to this question). So now you know that you have 12/15 cherries in the bucket and you need get 3/15 more to fill the bucket. And if 2/3=6/15 than you would need another 1/3 so, you would add 6/15 to 12/15 and get 18/15= 1 3/15. Im not complete sure if this is correct, but I tried :(.

The population consists of volunteers in a certain state.

The problem mentions that volunteers took the survey, as well that the survey is meant to find the opinions of people in a certain state.

Answer:

Step-by-step explanation:

I'll do them you arrange.

x +  (x - 1) > 5

If you start with 3 you will see that the answer is that the left equals the right. So 4 is the smallest number x can have

3 + (3 - 1)>5

6 - 1 = 5 not something greater than 5

4 + (4 - 1) > 5

8 - 1 > 5

7 > 5 which is true.

Answer 4

5x - 3x > 9

2x > 9          x must equal 5

2*5 > 9

10 > 9

Answer 5

6x - 14 > 3       add 14 to both sides.

6x - 14+14>3+14

6x > 17            The answer to equality is just about 3. So three is the answer

6*3 > 17

18 > 17

Answer 3

2x - 1 > 0           Add 1 to both sides.

2x > 1                 1 is the answer

2*1 > 1

2 > 1

Answer 1

So all you need do is place them in order. The last one goes first and then the second last one.

First find the probability of each color being drawn.

We need to find the total number of marbles first.

4 + 3 + 6 = 13

So everything will be over 13.

Probability of a white marble being drawn --> [tex]\frac{4}{13}[/tex]

Probability of a blue marble being drawn --> [tex]\frac{3}{13}[/tex]

Probability of a red marble being drawn --> [tex]\frac{6}{13}[/tex]

Now to find the probabilities of more than one being drawn, we can multiply.

Part a :

[tex]\frac{6}{13}*\frac{6}{13}=\frac{36}{169}[/tex]

Part b :

[tex]\frac{3}{13}*\frac{3}{13}=\frac{9}{169}[/tex]

Part c :

[tex]\frac{6}{13}*\frac{3}{13}=\frac{18}{169}[/tex]

Part d :

[tex]\frac{7}{13}*\frac{7}{13}=\frac{49}{169}[/tex]

Final answer:

The probability of drawing a marble of a specific color remains the same after each draw when a marble is replaced in the bag. For a bag of 13 marbles, the probability of drawing a blue marble twice in a row is 3/13 for each draw, assuming replacement after the first draw.

Explanation:

The question asks to calculate the probability of certain outcomes when drawing marbles from a bag with replacement. Considering a bag with a total of 13 marbles (4 white, 3 blue, and 6 red), the probability of drawing a marble of a specific color is calculated by dividing the number of marbles of that color by the total number of marbles in the bag. Since each marble is replaced after it is drawn, the probabilities for the second draw remain the same as the first.

For example, the probability of drawing a blue marble is 3 out of 13. If we replace the marble and draw again, the probability of drawing a blue marble for the second time is still 3 out of 13. The events are independent, and the probabilities do not change after each draw because of the replacement.

Answer:

b

Step-by-step explanation:

hey buddy how's it going?

Answer:

[tex]y=11.5466(1.8484)^x[/tex]

Step-by-step explanation:

Given :

x       y

0      14  

1       23  

2      30  

3      58  

4     137  

5     310

To Find: What is the exponential regression equation to best fit the data?

Solution:

General form of exponential regression equation : [tex]y=ab^x[/tex]

So, using calculator

Regression Equation:  [tex]y=11.5466(1.8484)^x[/tex]

Hence  the exponential regression equation to best fit the data is  [tex]y=11.5466(1.8484)^x[/tex]

Answer:

I have the correct answer for you people on the quiz

Step-by-step explanation:

Answer: 42

Step-by-step explanation:

The different types of one-topping pizzas that they serve are 196.

The combination helps us to know the number of ways an object can be arranged without a particular manner. A combination is denoted by 'C'.

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

where,

n is the number of choices available,

r is the choices to be made.

As the size of the pizzas that are available is of 3 different types, therefore, the number of choices for the size of the pizza is 3, which can be written as,

[tex]\text{Choices of Pizza}=^3C_1[/tex]

The number of toppings that are available is 14, therefore, the number of choices for pizza toppings can be written as,

[tex]\text{Choices of Toppings}=^{14}C_1[/tex]

Now, the different types of one-topping pizzas that they serve are,

[tex]= \text{Choices of Pizza} \times \text{Choices of Toppings}\\\\= ^3C_1 \times ^{14}C_1\\\\=3 \times 14\\\\= 196[/tex]

Hence, the different types of one-topping pizzas that they serve are 196.

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2 units between (-3,-2) and (-1,-2)

The distance between the points (-3, -2) and (- 1, - 2) is 2 units.

The distance formula between two points (x₁, y₁) and (x₂, y₂) is given by

[tex]D = \sqrt{x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].

Given, Are two points (-3, -2) and (- 1, - 2).

Therefore the distance between these two points can be obtained by the distance formula,

[tex]D = \sqrt{x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].

Therefore,

[tex]D = \sqrt{-1 + 3)^2 + (-2 + 2)^2[/tex].

[tex]D = \sqrt{2)^2 + (0)^2[/tex].

[tex]D = \sqrt{4[/tex].

D = 2units.

So, The distance between the points (-3, -2) and (- 1, - 2) is 2 units.

learn more about the distance between two points here :

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The correct answer is B

We can simply solve to see if it is correct.

Apply the distributive property.

.7*4k-.7*12

2.8k-8.4

This matches the example given in the question.

Hope this helps!

Answer:

B

It can not be c or d because you can't combine unlike factors. It is not a because 0.07 * 4K is not 2.8K

Answer:

A.  2(x2 - 1) = 2(y2 - y1)

Step-by-step explanation:

Perimeter

P = 2W + 2L

W = √(x2 - x1)^2 = x2 - 1

L = √(y2 - y1)^2 = y2 - y1

So

P = 2(x2 - 1) = 2(y2 - y1)

Answer is A.

2(x2 - 1) = 2(y2 - y1)

Answer:

24 units

Step-by-step explanation:

To obtain the dimensions of this rectangle, count the number of blocks in each direction x and y.  I count 7 blocks in the x-direction and 5 in the y-direction.  Thus, the perimeter, P, is P = 2W + 2L, which here equals:

P = 2(5) + 2(7) = 24 units

Answer:

Option A is correct.

Step-by-step explanation:

In this question the sale price and the original price of the shoe purchased is given. We need to find the amount of discount Jessica has received for purchasing shoes on sale.

Sale Price = $45.00

Original Price = $60.00

Discount she received=?

Discount received = Sale Price/Original Price

                               = 45/60

                               = 0.75

Converting it into percentage:

Discount received = 0.75 * 100

                              = 75%

So, Option A is correct.

Jessica received a 25% discount on the suede shoes she purchased during the Leather Emporium's Semi-Annual Clearance Sale.

The subject of this question is discount percent. It is inferred from the question that Jessica purchased shoes worth $60.00 at a reduced price of $45.00. To compute the discount she got, we need to subtract the sale price from the original price, and then divide that result by the original price, and multiply it by 100 to get it in percentile form.

In this case, the discount received is calculated as (($60 - $45)/$60) * 100 = 25%. So, the correct answer to the question 'If Jessica paid $45.00 for the shoes originally priced at $60.00, how much of a discount did she receive?' is B. 25%.

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Answer:

97.6

Step-by-step explanation:

test

The amount of three-dimensional space enclosed by a closed surface. The volume of the object is 97.6 in³.

The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity called volume.

The volume of the object is the difference between the volume of the cylinder and the volume of the cone. Therefore, the volume of the object can be written as,

The Volume of object =  Volume of cone - Volume of cylinder

[tex]\text{Volume of Object} = \pi r^2h_{cylinder} - \dfrac13 \pi r^2h_{cone}[/tex]

Since π and radius of the cone and cylinder are common, therefore the equation can be written as,

[tex]\text{Volume of Object} = \pi r^2h_{cylinder} - \dfrac13 \pi r^2h_{cone}\\\\\\\text{Volume of Object} = \pi r^2(h_{cylinder} - \dfrac13 h_{cone})[/tex]

As it is given that the radius of the figure is 2 inches, and the height of the cylinder is 8 inches while the height of the cone is 0.7 inches, therefore, the volume can be written as,

[tex]\text{Volume of Object} = \pi \times (2^2) \times (8 - \dfrac{0.7}{3} ) = 97.6\rm\ in^3[/tex]

Thus, the volume of the object is 97.6 in³.

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Answer:

Step-by-step explanation:

Because 25% is the same as 1/4. We can do the same thing as if we were changing 1/4 into a whole 1/4·4=1. So 25%·4=1. So 150·4 is our answer. So 150·4=600. There are 600 gumballs in the machine. :D

Answer:

600 Gumballs in total

Step-by-step explanation:

Write it as a proportion.

25/100 = 150/x

25x = 15000

x = 600 gumballs

OR

You could multiply 150 by 4 because 25% equals 1/4.

Answer:

4 and 5

Step-by-step explanation:

The mode is the value or values which occur most in the data set.

Here 4 occurs 3 times and 5 occurs 3 times, while 7 and 8 only occur once.

Hence there are 2 modes, that is 4 and 5

4 and 5

That’s your answer

Answer:

151

Step-by-step explanation:

Answer:

755 divided by 5 would be 151

180-88=92 becuase supplementary angles add up to 180 and 88 plus 92 equal 180

angle 4=92

Answer:

92 degrees

Step-by-step explanation:

YOUR WELCOME

PLEASE MARK ME BRAINLIEST

Answer:

Step-by-step explanation:

To solve indices problems you need to know the laws of indices.

The laws will guide you in answering any problem related to indices, these laws are for a ≠ 0

law 1

aᵇ * aⁿ = aᵇ⁺ⁿ

example 5³ * 5⁵ = 5³⁺⁵= 5⁸

law 2

aᵇ / aⁿ = aᵇ⁻ⁿ

example 7⁵/ 7³ = 7⁵⁻³ = 7²

law 3

(aᵇ)ⁿ = aᵇⁿ

example (5³)⁴ = 5³ * 5⁴ = 5¹²

law 4

a⁰ = 1

example 8⁰ = 1

law 5

a⁻ⁿ = 1/aⁿ

example 7⁻² = 1/7² = 1/49

law 6

a^¹/ₙ = ⁿ√a

example 27^¹/₃ = ∛27 = 3

law 7

a^ᵇ/ₙ = (ⁿ√a)ᵇ = ⁿ√aᵇ

example 8^²/₃ = (∛8)² = (2)² = 4

[tex]53 + x \leq 60[/tex]

53 is what he's driving at, x is how much faster he can go, 60 is the speed limit.

If we solve it, we can see that Mr.Erikson can go 7 miles per hour faster.

The answer is B . Please mark as brainliest :)

Answer:

The correct option is 2.

Step-by-step explanation:

It is given that Alec calculated the slope of line AC between points A and B. Avis calculated the slope of line AC between points B and C.

If a line passing through two points then the slope of the line is

[tex]slope=\frac{y_2-y_1}{x_2-x_1}=\frac{Rise}{Run}[/tex]

The coordinates of A and B are A(0,0) and B(6,2). The slope of line AB is

[tex]m_1=\frac{2-0}{6-0}=\frac{1}{3}[/tex]

The coordinates of B and C are B(6,2) and C(18,6). The slope of line AB is

[tex]m_2=\frac{6-2}{18-6}=\frac{4}{12}=\frac{1}{3}[/tex]

[tex]m_1=m_2[/tex]

Both Alec and Avis calculated the slope as 1/3. Therefore the correct option is 2.

Answer:

f(x) = x^3 - x^2 -2x

Step-by-step explanation:

If x = a is a zero of a polynomial, then x-a is a factor of the polynomial. Given the factors of a polynomial, the polynomial can be obtained by multiplying the factors.

The factors of the given polynomial are;

x - 2

x + 1

x

Multiplying the first two factors;

(x-2)(x+1) = x^2 + x -2x -2

              = x^2 -x -2

We finally multiply this result by x to obtain our polynomial;

f(x) = x ( x^2 -x -2)

      = x^3 - x^2 -2x

which is a cubic polynomial since it has 3 roots.

Answer:

f(x) = x³ - x² - 2x

Step-by-step explanation:

given a polynomial with zeros x = a, x = b, x = c

Then the factors are (x - a), (x - b) and (x - c)

and the polynomial is the product of the factors, that is

f(x) = k(x - a)(x - b)(x - c) ← where k is a multiplier

--------------------------------------------------------------------

Here the zeros are x = 2, x = - 1 and x = 0, thus the factors are

(x - 2), (x + 1) and (x - 0) , thus

y = kx(x - 2)(x + 1) ← let k = 1 and expand factors

 = x(x² - x - 2) = x³ - x² - 2x

Hence a possible polynomial is

f(x) = x³ - x² - 2x

There is 1 17-year-old player on the varsity basketball team whose height is 74 inches or less. The correct option is B.

In a scatter plot, each dot represents one player, with the x-axis typically representing age and the y-axis representing height. By examining the data points corresponding to 17-year-olds, we find only one dot where the height is 74 inches or less.

This analysis involves visually inspecting the scatter plot and identifying the specific data points that satisfy the criteria mentioned in the question. The correct answer, therefore, reflects the count of such data points, and in this case, it is one.

Answer:

2

Step-by-step explanation:

IF YOU LOOK AT THE CHART, YOU WILL SEE THATTHE NUMBER OF 17 YEAR OLDS THAT ARE 74 INCHES AND UNDER ARE 2

Answer:

w = 21

x = 13

y = -11

z = -16

Step-by-step explanation:

Matrix subtraction is simply subtracting "corresponding" values e.g. row 1 column 1 value of one matrix and row 1 column 1 value of another matrix, and so on...

Thus, w = 17 - (-4) = 17 + 4 = 21

x = 12 - (-1) = 12 + 1 = 13

y = -3 -8 = -11

z = -2 -14 = -16

These are the values of w, x, y and z , respectively.

The radius is 3.

Because the diameter is 3•2=6

Hope this helps.

Answer:

3

Step-by-step explanation:

The diameter of the circle is 2 times the radius

d = 2r

6 = 2r

Divide each side by 2

6/2 =2r/2

3=r

The radius is 3

Answer:

190,208

Step-by-step explanation:

732,178 + 167 = 732,345

732,345 - 542,137 = 190,208

Question : 732,178 + 167 - 542,137

Answer : 190208

Step-by-step explanation :

732,178 + 167 = 732345

732345 -  542,137 = 190208

Hope this helps :)

Have a great day !

5INGH

Answer:D

Step-by-step explanation:

-9+9=0

Answer:

2/3

Step-by-step explanation:

Divide both the numerator and denominator by the GCD

4 ÷ 2 = 2

6 ÷ 2 = 3

Answer:

2/3

Step-by-step explanation:

4/6 reduces to 2/3.

you change the y to have it y=3x+16 and same with the other one i think