You can model an arch at your school using the equation $y=-0.5\left(x+4\right)\left(x-4\right)$ , where $x$ and $y$ are measured in feet. The x-axis represents the ground. Find the width of the arch at ground level.

Answers

Answer 1

Answer:

8feet

Step-by-step explanation:

Given the equation that models the arch of a school expressed as;

[tex]$y=-0.5\left(x+4\right)\left(x-4\right)$[/tex]

If the x axis represents the ground;

At the ground level, x = 0

Substitute x = 0 into the equation to get y;

y = -0.5(0+4)(0-4)

y = -0.5(4)(-4)

y = -0.5 * -16

y = 8ft

Hence the y axis at the ground level is 8feet


Related Questions

Find the interest
earned:
$26,000 for 36 months
at 7.5% annual
compound interest

Answers

Answer:

Interest = $6,300 (Approx.)

Step-by-step explanation:

Given:

Amount deposit (P) = $26,000

Number of month = 36 month

Number of year (n) = 36 / 12 = 3 year

Rate of interest (r) = 7.5% = 0.075  

Find:

Interest  earned

Computation:

Interest = p[(1+r)ⁿ-1]

Interest = 26,000[(1+0.075)³-1]

Interest = 26,000[(1.075)³-1]

Interest = 6,299.71

Interest = $6,300 (Approx.)

please help me this is for a grade

Answers

Answer:

b

Step-by-step explanation:

Out of 1200 people polled, 30% do not like radio, and 10% of the people who do not like radio also do not like music. How many people polled do not like both radio and music?

Answers

Answer:

10% of people don't like either. Your answer is 120 people.

Step-by-step explanation:

How many proportional relationships are shown in the coordinate plane below?
Choose 1 answer:
a. 0
B. 1
c.2
d.3

Answers

C.2 because there are two functional lines?

Answer:

0

Step-by-step explanation: i did the lesson

During an local election the ratio of teens to adults who voted was 9.3. If 732 people voted how many were teens

Answers

Answer: 549

Step-by-step explanation:

Given

The ratio of teens to adults is 9:3

The total number of people who voted is 732

let 9x be the no of teens and 3x be the no of adults such that their ratio is 9:3

So, we can  write

[tex]\Rightarrow 9x+3x=732\\\Rightarrow 12x=732\\\Rightarrow x=61[/tex]

No of the teens were [tex]9x=9\times 61=549[/tex]

how many square metre of carpeting are needed to cover a floor that measures 8m by 5m​

Answers

Answer:

40 meters squared

Step-by-step explanation:

8 * 5 = 40

A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 6800 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xxx, the number of 100-kilogram crates that can be loaded into the shipping container.

Answers

Answer:

x ≤ 207 crates

Step-by-step explanation:

Greatest weight of the container = 27,500 kilograms

Weight of other shipment = 6,800 kilograms

Weight of a crate = 100 kilograms

Number of 100-kilogram crates that can be loaded into the shipping container = x

The inequality is

27,500 ≤ 6800 + 100x

27,500 - 6800 ≤ 100x

20,700 ≤ 100x

x ≤ 20,700 / 100

x ≤ 207 crates

asap please help for brain list

If a+b = c which of the following statements is true?

b-c=a

a-c=b

c-a=b

c+b= a

Answers

Answer:

c-a=B

Step-by-step explanation:

if A+B=c then you subtract a from c and you get b

Answer:

C. c - a = b

Step-by-step explanation:

a + b = c

There are many ways to rearrange this equation. This can be done through addition and subtraction.

First, let's handle a. a is positive; therefore, we should subtract it.

a + b = c

b = c - a

Next, let's handle b. b is also positive; therefore, we should subtract it.

a + b = c

a = c - b

Finally, we will handle c. c is once again positive; therefore we should subtract it. However, it is the only variable on the right side, which would leave 0. This is not an option, so we will not look at this.

From our options, we can see that we have produced: b = c - a

This is an option, which has been written as c - a = b.

Therefore, your answer is C. c - a = b

Hope this helps!

Find the circumference of the circle with the given area A. Use 3.14 for TI
A = 87.9
C =
r=

Answers

Area = r^2 * 3.14
87.9/3.14 = around 28
Square root of 28 = 5.3
The radius is 5.3
Circumference: diameter * 3.14
5.3 + 5.3 = 10.6
10.6 * 3.14 = 33.3
The circumference is 33.3

3. The functions f and g are defined by
[tex] f(x) = \frac{8}{x - 2} + 2 \: for \: x > 2[/tex]

[tex]g(x) = \frac{8}{x - 2} + 2 \: for \: 2 < x < 4[/tex]
(a)(i) State the range of the function f.
(ii) State the range of the function g.
(iii) State the range of the function fg.
(b) Explain why the function gf cannot be formed.​

Answers

i) range is (-infinity,2)
ii) range is (6, infinity)
iii) range is (6,infinity)
b)
Cause the range of f doesn’t match any element of the domain of g

Carlton and Leon are expert bowlers. Seventy percent of Carlton's rolls are strikes, while 67% of Leon's rolls are strikes. Suppose that Carlton and Leon each bowl 25 games. What is the probability that Leon's proportion of strikes is greater than Carlton's for these games?

Answers

Answer:

The probability that Leon strikes is greater than Carlton strike is 0.40905

Step-by-step explanation:

From the question, we have;

The percentage of Carlton's rolls are strikes, [tex]\hat p_1[/tex] = 70%

The number of games Carlton played, n₁ = 25

The percentage of Leon's rolls that are strikes, [tex]\hat p_2[/tex] = 67%

The number of games Leon played, n₂ = 25

Therefore, we have;

[tex]\hat p=\dfrac{k_1 + k_2}{n_1 + n_2}[/tex]

Where;

k₁ = 0.7 × 25 = 17.5

k₂ = 0.67 × 25 = 16.75

[tex]\therefore \hat p=\dfrac{17.5 + 16.75}{25 + 25} = 0.685[/tex]

The test statistic is given as follows;

[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p} \cdot (1-\hat{p})\cdot \left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]

[tex]Z=\dfrac{0.7-0.67}{\sqrt{0.685 \cdot (1-0.685)\cdot \left (\dfrac{1}{25}+\dfrac{1}{25} \right )}} \approx 0.2283[/tex]

From the z-table, we have;

The p-value for Carlton strikes is greater than Leon's strike = 0.59095

∴ The p-value for Leon strikes is greater than Carlton strike = 1 - 0.59095 = 0.40905

The probability that Leon strikes is greater than Carlton strike = 0.40905

Consuelo recorded the amount of time, in minutes, she spent exercising on the treadmill. 15, 25, 30, 25, 45, 20, 35, 30, 35, 30, 40 Which value best represents the mode? 10 min 10 min 30 min 30 min 35 min 35 min 25 min

Answers

Answer: 30 mins.

Step-by-step explanation:

The mode is the value that appears the most times.

In such a situation, first order the numbers in an ascending order:

15, 20, 25, 25, 30, 30, 30, 35, 35, 40, 45

As can be seen from the above, 30 is the number that appears the most so the mode is 30 mins.

Arc AD=98 and I need help with both problems below

Answers

Answer:

arc DC = 64

angle DCQ = 32

Step-by-step explanation:

Hello There!

The circumference of a normal circle is 360

Given that arc AD = 98 and having found arc ABC we can find arc DC by subtract the known arcs from 360

360 - 98 - 198 = 64

Hence arc DC = 64

The problem wants us to find angle DCQ having found arc DC

Remember like stated before an included angle is equal to 1/2 its opposite arc

64/2=32

so angle DCQ = 32

a) 23 x 11 - 23 x 10​

Answers

Step-by-step explanation:

= 23 × 11 - 23 × 10

= 23 ( 11 - 10)

= 23 ( 1)

= 23

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

The commuting distances, in miles, of 10 employees were used to make the box plot shown above. Which of the sets of distances below matches the given box plot?

A.
Commuting Distances: 10, 15, 15, 20, 20, 30, 30, 30, 45, 45

B.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 45, 45, 45

C.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 30, 45, 45

D.
Commuting Distances: 10, 15, 20, 20, 20, 20, 30, 30, 45, 45

Answers

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

You are putting money into a bank account. You start with $100 and add $12 every month. The total amount of money in your account can be represented by the following equation. (where T is total amount and M is the number of months):
T = 100 + 12 M

If you have $208, how many months have passed?

Show the equation and how you got the answer.

Answers

The answer would be 9 months. 9x12=108 so that would be 100+108= 208

100

Add 12 every month

Ex: 100 + 12

100 + 12 + 12+ 12+ 12+ 12+ 12+ 12+ 12+ 12

It wound not be 100 x 9 because 100 x 9 is 900

Therefore 9 months

9 x 12 = 108

so that would be 100+108= 208

Hope this helps~

At the beginning of March, a store bought a rake at a cost of 9$ and marked it up 130%. At the end of the month, the rake had not sold, so the store marked it down 50%. What is the discounted price?

Answers

Answer:

the new discounted price is $5.85

Step-by-step explanation:

First convert 130% into a decimal: 130 ÷ 100 = 1.3

Next multiply 1.3 by 9: 9 x 1.3 = 11.7

Then convert 50% into a decimal: 50 ÷ 100 = 0.5

Last multiply 11.7 by 0.5: 11.7 x 0.5 = 5.85

What are the measurements of angle 1 and angle 2

Answers

Angle 1 is 60 degree
Angle 2 is 120 degrees

Customer Money Spent (in dollars) 1 $13 2 $46 3 $13 4 $87 5 $10 6 $5 7 $8 8 $16 9 $33 10 $57 A clothing store owner tracks the amount of money the last 10 customers spend in her store. The owner concludes that the typical amount spent by any customer is $28.80. The owner's conclusion A) is valid. The last 10 customers only bought sale items. B) is correct. This is the average amount spent by any customer. C) is invalid. This is not a good representation of all customers. Eliminate D) is unfair. The last ten people in the store may have been tired.

Answers

Answer:

Step-by-step explanation:

i think the anwer is c

A

Question 14

Jabar earns $5 for the first 10 pounds of newspaper he recycles, then 50 25 for each additional pound. Which expression ropresents the amount he earns for recycling p pounds of newspaper if p > 10?

5+0.25 (p-10)

(5 +0.25) P

5 +0.25p

5 (10) +0.25p

B

С

D

Answers

Complete Question

Question 14

Jabar earns $5 for the first 10 pounds of newspaper he recycles, then $0.25 for each additional pound. Which expression represents the amount he earns for recycling p pounds of newspaper if p > 10?

a. 5+0.25 (p-10)

b. (5 +0.25) P

c. 5 +0.25p

d.5 (10) +0.25p

Answer:

5 (10) +0.25p

Step-by-step explanation:

Let the number of additional pounds = x

Hence:

Jabar earns $5 for the first 10 pounds of newspaper he recycles, then $0.25 for each additional pound.

The statement above is represented as:

$5 × 10 + $0.25 ×p

= 5(10) + 0.25(p)

Therefore, the expression that represents the amount he earns for recycling p pounds of newspaper if p > 10 is written as

5(10) + 0.25(p)

Option d is the correct option

Given two strings, each extending from a different focus to a common point on an ellipse, what is the relationship
between the two points?
A. They are collinear.
B. They have the same slope.
C. The sum of their lengths is equal to the length of the major axis.
D. The difference of their lengths is equal to the length of the minor axis.

Answers

Answer:

It's C

Step-by-step explanation:

Got it correct on Edge

less than 100 students want to start at 9:00 am true or false
for there are 17​

Answers

What is the question specifically?

If You Had Three Wishes, What Would You Wish For?

Answers

Answer:

I would wish to be the brainliest, I would wish for more points, and i would wish for more people to answer my questions

Step-by-step explanation:

thats only for brainly though

Answer:

My three wishes would be:

1: Get all staright A's

2: the sickness that starts with C thats going around goes away forever

3: Have some cheesecake.

Step-by-step explanation:

Please help find the error​

Answers

Answer:

the error is they put out the answer

Step-by-step explanation:

Which is a simplified form of the expression -9(y + 1) + 5y?

Answers

Answer:

Your answer is -4y - 9

Step-by-step explanation:

Simplify the expression.

~Brainiliest please~

Bonnie's doctor recommended that she drink 2cups of milk per day. If she buys 3 quarts of milk,will it be enough milk to last 1 week?

Answers

Answer:

She does not have enough milk to last for 1 week

Step-by-step explanation:

From the question, we are told that:

Bonnie's doctor recommended that she drink 2cups of milk per day.

Step 1

The number of days in a week is 7 days

Hence

1 day = 2 cups of milk

7 days = x

Cross Multiply

x = 7 × 2 cups of milk

= 14 cups of milk.

Step 2

If she buys 3 quarts of milk,will it be enough milk to last 1 week?

We have the conversion rate as:

1 quart = 4 cups

Therefore,

1 quart = 4 cups

3 quarts = x cups

Cross Multiply

x cups = 3 quarts × 4 cups/1 quart

x cups = 12 cups of milk

This means she bought 12 cups of milk.

Therefore, from the above calculation, she does not have enough milk to last for 1 week because due to her doctor's recommendation, she need 14 cups of milk for the week but she only bought 12 cups of milk

Answer:

70

Step-by-step explanation:

68+2

What is the value of x?

Answers

Answer:

x = 39

Step-by-step explanation:

The angle between a tangent and the radius of a circle at the point of contact is 90° , then

x = 180 - (90 + 51) = 180 - 141 ←  angle sum of triangle

x = 180 - 141 = 39

x + 51 = 90

x = 90 - 51

x = 39°

8
Which expression is equivalent to 4.8 + 2.2w – 1.4w + 2.4?

Answers

Answer:

7.2 + 0.8w

Step-by-step explanation:

Combine like terms.

Here Like terms: i) 2.2w and (-1.4w)

                         II)   4.8 and 2.4

4.8 + 2.2w - 1.4w + 2.4 = 4.8 + 2.4 + 2.2w - 1.4w

                                     = 7.2 + 0.8w

Sallie is earning $8.70 per hour and got a 6% increase in her pay. What is sallies new rate of pay?

Answers

First we find the increase by multiplying the percentage with the base salary

8.70*(6/100)=0.522 that's the increase

then we add it to the base salary

8.70+0.522=9.222$

An artist is using right triangles in her design. If all the triangles have an angle measure of 24, what is the measure of the third angle?

Answers

Answer:

66°

Step-by-step explanation:

Given that :

Right angle measure of a triangle are used in a design :

A right angles triangle has one of its angle equals 90 ;a

Since the second angle is given as 24 ; b

The measure of the third angle ; c will be :

Sum of angles in a triangle = 180

(a + b + c) = 180

(90 + 24 + c) = 180

c = 180 - 114

c = 66°

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