A building has an entry the shape of a parabolic arch 22 ft high and 28 ft wide at the base, as shown below.

A parabola opening down with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is twenty two feet and its width from left to right is twenty eight feet.

Answers

Answer 1
The parabola is at Max of 22

Related Questions

How many times does the pyramid fit in the cube of both bases and height are the same?

Answers


If the base is 120×120
120
×
120
units, and the height is 120
120
units, with the summit directly above the center of the base, then each side has a slope of 2
2
: one unit towards the center, the side wall rises by two units.

This means that at height 5
5
above the base, each side is 5×12=2.5
5
×
1
2
=
2.5
inwards, i.e. 115×115
115
×
115
in area, because each of the four sides (north, south, east west) is inwards by that amount. In other words, the bottommost layer of 5×5×5
5
×
5
×
5
blocks covers 115×115
115
×
115
unit area of the base, and thus consists of 23×23
23
×
23
blocks.

The next layer of blocks is similarly smaller, covering a 110×110
110
×
110
area on top of the previous layer of blocks, i.e. one block less in both directions, consisting of 22×22
22
×
22
blocks. (You might note that the center of each block in the upper layer is at the corners of four blocks in the lower layer, although it does not affect the math here at all.)

This continues upwards, with the 23rd layer having just one block. Note that since 23×5=115
23
×
5
=
115
, the summit of the pyramid (a rectangular pyramid itself, of course, with base 5×5
5
×
5
on top of the topmost block, and height another 5
5
) is empty; it does not have enough room to contain even a single block.

If we count the number of blocks in each layer, we get
=23×23+22×22+21×21+…+1
N
=
23
×
23
+
22
×
22
+
21
×
21
+

+
1
That is not too hard to do by hand (or, better, calculator; or even with 2×2 Lego bricks), but mathematically we can also say that
=∑=1232
N
=

i
=
1
23
i
2
As it happens, it is already known (in lists of known sums) that
∑=12=16(+1)(2+1)

i
=
1
n
i
2
=
1
6
n
(
n
+
1
)
(
2
n
+
1
)
and therefore
=16×23×24×47=4324

Use <, >, or = to compare the following decimals.

(a) 6.37 |?| 2.68
(b) 0.1 |?| 0.04
(0) 7.7 |?| 7.70

Answers

Answer:

A is >

B is >

C is =

I hope this helps you.

James wants to purchase a car.
The purchase price of the car is $27,000.00 The dealership will allow him to pay cash or
finance the car with a down payment of $5,000.00 and 60 monthly payments of
$525.00. James chooses to finance the car.
Answer the following questions:
a) What is the amount financed?
b) What is the total amount of monthly payments?
c} What is the amount of the finance charge?

Answers

A) $27,000.00 - $5,000.00 =$22,000.00

B) $31,500

C) $4,150

(a) The amount financed is $22,000.

(b) Total amount of monthly payments is $31,500.

(c) Amount of the finance charge is $9,500.

What is Down Payment?

Down payment is the amount which has to be paid at the beginning of a transaction while buying a house or a car.

Given that,

Purchase price of the car = $27,000.00

Down payment = $5,000.00

Number of monthly payments = 60

Amount of monthly payment = $525

(a) Amount financed = Purchase price - Down payment

                                  = $27,000.00 - $5,000.00

                                  = $22,000

(b) Total amount of monthly payments = 60 × $525

                                                                = $31,500

(c) Amount of the finance charge = $31,500 - $22,000

                                                       = $9,500

Hence the amount financed is $22,000.

Learn more about Down Payments here :

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#SPJ2

a rectangle has a length of 18 ft less than 7 times its width if the area of the rectangle is 405 square feet. what's the length of the rectangle​

Answers

Answer:

i don't know um is there any multiple questions?

Step-by-step explanation:

Which statement is true​

Answers

Answer:

I think is the last one I don't know but I can give you the explanation down to the step by step equation

Step-by-step explanation:

In a box plot the left side the left corners of that box represents Q1, the right corners of the box represents Q3. The line inside the box represents the median of the data

15
12
П
[Not drawn to scale)
What is the area of the reduced rectangle?

Answers

1.8; multiply 15 and 12 by 0.1. so you will have 1.5 and 1.2 and then multiply those answers together to get 1.8

Find the measure of < 6.

Answers

Answer:

126

Two parallel lines cut by a transversal produce congruent alternate interior angles.

Answer:

The measure of angle 6 is 126 degrees because they are corresponding angles.

In a pet shop, there are 3 hamsters for every 2 guinea pigs, and there are 2 giant cloud rats for every 3 guinea pigs. If N is the total number of hamsters, guinea pigs, and giant cloud rats, and N>0 then what is the smallest possible value of N

Answers

Answer:

n = 19.

Step-by-step explanation:

If there are x guinea pigs then there are 3/2 x and 2/3 x rats.

So n = x + 3/2 x + 2/3 x

n = 19x / 6

19x = 6n

Let x = 6 , then n = 19*6 / 6 = 19.

Now n and x must be whole numbers so x is 6 and n = 19 are the smallest possible values.

Show 1/4 on the number line. Show 1/2 on the number line .

Answers

Answer:

If you were marking these fractions on a number line, keep in mine that 1/2 is equivalent to 2/4. If each sides of the number line are divided into four parts per whole number, this info is useful.

Step-by-step explanation:

Hope this helped!

−8≤2/5(k−2) negative 8 is greater than/equal to 2/ fifths (k minus 2)

Answers

Answer:60

Step-by-step explanation:

The answer to your question is 60

Is urgent What is the equation of the line, in point-slope form, that goes through (2, -1)
and is perpendicular to y = 5x + 3?
A. Y+ 1 = 5(x - 2)
O B. y-1--5(x-2)
C. »+1-- *(x-2)
O D. v-2-- }(x+1)

Answers

Answer:

c. y + 1 = -⅕(x - 2)

Step-by-step explanation:

To write the equation in point-slope form, we need to know the slope (m) and coordinates of a point the line passes through.

The equation would be in the form of y - b = m(x - a).

(a, b) = (2, -1)

Since the line is perpendicular to y = 5x + 3, the slope will be the negative reciprocal of 5 which is -⅕

m = -⅕.

Substitute a = 2, b = -1, and m = -⅕ into y - b = m(x - a).

Thus:

y - (-1) = -⅕(x - 2)

y + 1 = -⅕(x - 2)

Paul is buying packages of hot dogs for a camping trip. Each package is 30 oz. If he buys 4 packages, about how many pounds of hot dogs is he buying?

Answers

Answer:

7.5 OR 8 (Depending on whether you are rounding or not)

Step-by-step explanation:

30 x 4 = 120 oz

120 oz to pounds is 7.5 but if you are rounding then its 8.

30 oz • 4=120 oz
16 oz= 1 lb
120/16=7.5 lb
He is buying 7.5 lbs of hot dogs.

Solve and check please i need help

Answers

Answer:

w=15

Step-by-step explanation:

The way I found the answer is dividing 120 by 8 which equaled 15 and I made sure it was correct as I multiplied 8 by 15 and the answer was 120.

w=15
120 divided by 8 is 15

Uhm... help pleasee.

Answers

Yes it’s a proportional relationship because it is constantly getting multiplied by 10 for each one

Answer:

nose de ecuaciones sorry :c

Step-by-step explanation:

What is the measure of the missing angle?

Answers

Answer:

51

Step-by-step explanation:

180-86-43=51

The measure of ADB is 162º. What is the measure of <EAB ​

Answers

Answer:

81 degrees

Step-by-step explanation:

Applying the inscribed angle theorem, the measure of ∠EAB is: 81°.

What is the Inscribed Angle Theorem?

The inscribed angle theorem states that an intercepted arc measure is always twice the measure of the inscribed angle in a circle.

Given the following:

Inscribed angle = ∠EABIntercepted arc = ADB = 162°

We would therefore have the following:

1/2(ADB) = m∠EAB

Substitute

1/2(162) = m∠EAB

m∠EAB = 81°

Therefore, applying the inscribed angle theorem, the measure of ∠EAB is: 81°.

Learn more about the inscribed angle theorem on:

https://brainly.com/question/5436956

The standard deviation for a set of data with mean 25 and variance 16 is?​

Answers

Answer:

Standard deviation = 4

Step-by-step explanation:

Given the following data;

Mean = 25

Variance = 16

To find the standard deviation;

Mathematically, standard deviation is given by the formula;

[tex]Standard \; deviation = \sqrt{variance}[/tex]

Substituting into the formula, we have;

[tex]Standard \; deviation = \sqrt{16}[/tex]

Standard deviation = 4

Hiuxian scores 68 out of 80 for her Science test, Priya scores 86 out of 120 for her Science test and Rui feng scores 120 out of 150 for his Science test. Who performs the best in his/her Science test?​

Answers

Answer:

Hiuzian score the best in his/her science test.

Step-by-step explanation:

convert these fractions into percentage.

68/80 = 85%

86/120 = 71.67%

120/150 = 80%

simplify mentally 4867.293 ÷ 1000

Answers

Step-by-step explanation:

20htff5tgtgtgtgtf5ddrtfy g huhh

5. Jerald is investigating the typical depreciation rate for the used automobile he intends to purchase next month. He has collected the following data about an automobile purchased in 1999 for 12,500. a. Using Jerald’s data, find the best-fit exponential equation for this deprecation using the substitution method. Must show work. b. Using the same data, get an equation using the calculator's regression feature. Then estimate the depreciated value of the automobile in 2010:

Answers

So that 12,500+900-500+1500 would equal 90,757

An exponential equation is characterized by an initial value "a" and a rate "b". Because Jerald is investigating a depreciation, the rate "b" will be less than 1.

The exponential equation is [tex]y = 12500(0.86)^x[/tex] and the depreciated amount in 2010 is approximately 2379

I've added the missing data as an attachment.

An exponential equation is represented as:

[tex]y = ab^x[/tex]

Where:

[tex]a \to[/tex] the first term

[tex]b \to[/tex] rate

[tex]x \to[/tex] years after 1999

[tex]y \to[/tex] depreciated value

When [tex]x = 0\ \&\ y=12500[/tex]

The equation [tex]y = ab^x[/tex] is:

[tex]12500 = ab^0[/tex]

[tex]12500 = a*1[/tex]

[tex]12500 = a[/tex]

[tex]a =12500[/tex]

When [tex]x = 1\, \&\ y = 10750[/tex]

The equation [tex]y = ab^x[/tex] is:

[tex]10750 = ab^1[/tex]

[tex]10750 = ab[/tex]

Substitute [tex]a =12500[/tex]

[tex]10750 = 12500 \times b[/tex]

Solve for b

[tex]b =\frac{10750 }{12500}[/tex]

[tex]b =0.86[/tex]

So, the equation is:

[tex]y = ab^x[/tex]

[tex]y = 12500(0.86)^x[/tex]

To calculate the depreciated value in 2010, we first solve for x in 2010

[tex]x = 2010 - 1999[/tex]

[tex]x = 11[/tex]

So, the depreciated value (y) is:

[tex]y = 12500(0.86)^x[/tex]

[tex]y = 12500 \times 0.86^{11}[/tex]

[tex]y = 2379[/tex]

Read more about exponential equation at:

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the average of 6 members to 2 8 9 x 7 and 12 is 7 find the value of x​

Answers

Answer:

x=(-45)

Step-by-step explanation:

2+8+9+x+7+12=7

38+x=7

x=(-45)

38+(-45)=7

Select all the properties of a right triangle.
A. Has a right angle
B. Has one obtuse angle
C. Has parallel lines
D. Has perpendicular lines
E. Has three acute angles

help pleasee no links!!

Answers

A and D.

EXPLANATION:

A right triangle has 2 acute angles and one right angle.

So It

DOES have a right angle

DOES NOT have an obtuse angle

DOES NOT have parallel lines
because Parallel means that the lines dont meet anywhere.
In this scenario All lines meet

DOES have perpendicular lines
Because they intersect

DOES NOT have three acute angles

:)

3x3 im in kinder help/
/

Answers

Answer:

9

Step-by-step explanation:

3+3+3=9

Answer:

9

Step-by-step explanation:

3

6

9

Label 1/4 on the number line. Label 1/2 on the number line .

Answers

Answer:

it goes 0 then 1/4 in the first notch 1/2 in the second notch 3/4 in the third notch then the number 1 on the fourth

Step-by-step explanation:

Hope that helps.

?
Name:
Period:
Date:
15. The area of a rectangular playground is 315 yd? The width of the playground is 6 yd longer than its
length. Find the length and width of the playground.

Answers

Answer:

length 21yd

width 15yd

Step-by-step explanation:

Actually it does factor

x(x+6)=315

x²+6x=315

x² +6x - 315 = 0

(x+21)(x-15) = 0

x= -21. discard as can’t have a negative distance

x=15

So dimensions are 15 and 21

I need help please.

Answers

Answer:

it might be A but dont trust me

Step-by-step explanation:

Do this for me? Giving brainliest also btw, no cheat also needs work

Answers

Answer:

Your answer is 320

Step-by-step explanation:

-15x + 5 = -10x + 25 solve for x

Answers

Answer:

Move all terms containing x to the left side of the equation.

−5x+5=25

Move all terms not containing x to the right side of the equation.

−5x=20

Divide each term by −5 and simplify.

x=−4

Step-by-step explanation:

Answer:

[tex]15x + 5 = -10x + 25[/tex]

[tex]15x+5-5=-10x+25-5[/tex]

[tex]15x=-10x+20[/tex]

[tex]15x+10x=-10x+20+10x[/tex]

[tex]25x=20[/tex]

[tex]\frac{25x}{25}=\frac{20}{25}[/tex]

[tex]x=\frac{4}{5}[/tex]

my final balance after 48 months was $869. If I originally put $800 into the bank what was the interest rate

Answers

Answer: 1.4375 percent

Step-by-step explanation:

69/48 = 1.4375 percent.

(if its incorrect I'm sorry)

5 The table shows the linear relationship between the average height in feet of trees on a tree
farm and the number of years since the trees were planted.
Average Tree Height
Number of Years Since
1 3
the Trees Were Planted
6
11
15
Average Height (ft)
10
24
45
80
108
What is the rate of change of the average height in feet of the trees on the farm with respect
to the number of years since the trees were planted?
A 14 ft/yr
B 3 ft/yr
C 7 ftyr
D 10 ft/yr

Answers

Answer:7ft

Step-by-step explanation:

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