A radio telescope has a parabolic surface, as shown below. A parabola opening up with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 1 meter and its width from left to right is 8 meters. If the telescope is 1 m deep and 8 m wide, how far is the focus from the vertex?

Answers

Answer 1

Answer:

90m

Step-by-step explanation:


Related Questions

6f = 24 pls help!!!!!!!!!!!!!!

Answers

Answer:

f=4

Step-by-step explanation:

6f = 24

÷6    ÷6

f=4

Answer:

f = 4

Step-by-step explanation:

6f = 24

f = 24/6

f = 4

Identify the lateral area and surface area of a right cone with radius 7 cm and slant height 15 cm a. L = 329.9 cm2 ; S = 373.9 cm2 b. L = 329.9 cm2 ; S = 483.8 cm2 c. L = 659.7 cm2 ; S = 483.8 cm2 d. L = 659.7 cm2 ; S = 813.6 cm2

Answers

Answer:

Step-by-step explanation:

a.  

L

=

329.9

 

c

m

2

;

 

S

=

373.9

 

c

m

2

.

b.  

L

=

659.7

 

c

m

2

;

 

S

=

483.8

 

c

m

2

.

c.  

L

=

659.7

 

c

m

2

;

 

S

=

813.6

 

c

m

2

.

d.  

L

=

329.9

 

c

m

2

;

 

S

=

483.8

 

c

m

2

.

Surface Area of a Cone:

In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.

The height of the cone is the length of a line segment that joins the base to the vertex of the cone.

The radius of the cone is the same as the radius of the base.

Surface area of a cone

(a) Lateral Surface Area

If  

l

and  

r

are the slant height and radius of a cone then its lateral surface area is given by the formula-

L

=

π

r

l

where  

L

is the lateral surface area of the cone

(b) Total surface area

It is the sum of the area of the circular base and the lateral surface area of the cone.

S

=

L

+

π

r

2

S

=

π

r

l

+

π

r

2

Where  

S

is the total surface area of the cone

Answer and Explanation:

Given that the radius and slant height of a right cone is  

7

 

c

m

and  

15

 

c

m

respectively

r

=

7

 

c

m

l

=

15

 

c

m

So the lateral surface area of the cone-

L

=

π

r

l

L

=

π

(

7

)

(

15

)

L

=

105

π

L

=

105

(

3.14159

)

L

=

329.866

L

329.9

 

c

m

2

And the total surface area of the cone-

S

=

L

+

π

r

2

S

=

329.9

+

π

(

7

)

2

S

=

329.9

+

49

(

3.14159

)

S

=

329.9

+

153.937

S

=

483.83

 

c

m

2

So the lateral area and total area of a right cone are  

329.9

 

c

m

2

and  

483.8

 

c

m

2

respectively.

Answer:

Step-by-step explanation:

Step-by-step explanation:

a.  

L

=

329.9

 

c

m

2

;

 

S

=

373.9

 

c

m

2

.

b.  

L

=

659.7

 

c

m

2

;

 

S

=

483.8

 

c

m

2

.

c.  

L

=

659.7

 

c

m

2

;

 

S

=

813.6

 

c

m

2

.

d.  

L

=

329.9

 

c

m

2

;

 

S

=

483.8

 

c

m

2

.

Surface Area of a Cone:

In the three dimensional geometry, a cone is a shape that has a circular base and a lateral surface is associated with a vertex and the base.

The height of the cone is the length of a line segment that joins the base to the vertex of the cone.

The radius of the cone is the same as the radius of the base.

Surface area of a cone

(a) Lateral Surface Area

If  

l

and  

r

are the slant height and radius of a cone then its lateral surface area is given by the formula-

L

=

π

r

l

where  

L

is the lateral surface area of the cone

(b) Total surface area

It is the sum of the area of the circular base and the lateral surface area of the cone.

S

=

L

+

π

r

2

S

=

π

r

l

+

π

r

2

Where  

S

is the total surface area of the cone

Answer and Explanation:

Given that the radius and slant height of a right cone is  

7

 

c

m

and  

15

 

c

m

respectively

r

=

7

 

c

m

l

=

15

 

c

m

So the lateral surface area of the cone-

L

=

π

r

l

L

=

π

(

7

)

(

15

)

L

=

105

π

L

=

105

(

3.14159

)

L

=

329.866

L

329.9

 

c

m

2

And the total surface area of the cone-

S

=

L

+

π

r

2

S

=

329.9

+

π

(

7

)

2

S

=

329.9

+

49

(

3.14159

)

S

=

329.9

+

153.937

S

=

483.83

 

c

m

2

So the lateral area and total area of a right cone are  

329.9

 

c

m

2

and  

483.8

 

c

m

2

respectively.

A factory can work its employees no more than 6 days a week, and no less than 2 days per
week. Create an inequality to represent the range of days an employee can work. Solve
the inequality to determine the range in hours if the work day is 6.5 hours. Show all of your
work and explain each of your steps. Explain your answer.

Answers

Answer:

13<x<39 (range of hours)

Step-by-step explanation:

2<x<6 (x is the range of days)

Since each workday is 6.5 hours, multiply everything by 6.5:

13<x<39 (the new x is the range of hours)

10 points! Please answer within next 5 minutes!

Explain how to use the distributive property to find the product (3)(4 1/ 5)

Answers

Answer:

12 3/5

Step-by-step explanation:

Distributive property is when you take a number for example 3 and multiple all of the numbers inside the () in this case 4 1/5

1. multiple 3 by 4 =12

2 multiple3 by 1/5= 3/5

3 write your awnser 4 3/5

Hoped this helped

PRE CALC PLEASE HELP PLEASE

Answers

Answer:

The statement is true

Step-by-step explanation:

We have been given an equation of hyperbola

In the given equation of hyperbola center is located at h at -1 and k at 2. so:

C:(h,k) = (-1,2)

Coordinated of the foci of the hyperbola are given as:

Foci: (h, k ± c)

Substitute the values of h and k into the coordinated of foci of hyperbola.

Foci: (-1, 2 ± c)

Where c can be found by using the given formula

c = √(a²+b²)

c = √(16+144)

c = 4√10

So the the coordinates of the foci are:

Foci: (-1, 2 - 4√10) and (-1, 2 + 4√10)

Thus, the statement given is true

Please help i will mark brainliest for correct answers!​

Answers

Answer:

9) 1/2 (or 1:2, or 50%, or .50, depending on how your teacher wants it.

10) 2/3 (or 2:3, or 66.6%, or 0.66)

Step-by-step explanation:

9) Here are the possibilities of the cards you could pick

KQ, KJ, K10, QJ, Q10, J10

Since there are 6 possibilities and only 3 of them have one face card, the probability is 3/6, or 1/2.

10) It doesn’t matter which card you pick first.  The second card has a 1 in 3 chance of being the same card (whatever it is).  That means you have a 2 in 3 chance of it NOT being the same card.  So the probability is 2/3.

help will give brainliest

Answers

Answer: A. (-3,7)

Step-by-step explanation:

No work needed, you just need to look at the coordinate plane.

Coordinate II is x as a negative and y as a positive

Answer:

D, (5,-1)

5 is in the x axis

-1 is in the y axis

This point is it the second quadent

Hope this helps ( if incorrect try a)

Mary bought 10 quarts of juice at the grocery. How many gallons of juice did she buy?

Answers

Answer:

2.5 gallons

Step-by-step explanation:

Quarts of juice Mary bought = 10 quarts

1 quart = 0.25 gallons

10 quarts = 0.25×10 = 2.5 gallons

Therefore she bought 2.5 gallons

Hope this helps : ) . Have a nice day !

Identify the two remote interior angles that correspond to angle 4.

Answers

Answer:

1 & 2

Step-by-step explanation:

Remote interior angles are the angles inside of a triangle but not on the same straight line as the exterior angle (4)

Answer:

<1 and <2 are the remote interior angles for angle 4

Step-by-step explanation:

The remote interior angles that correspond to angle 4 are the angles that are in the triangle that are not adjacent to angle 4

<1 and <2 are the remote interior angles

The function h(x) is a translation of the exponential function g(x) = 9(1∕6)x. What's h(x) if the translation is a vertical shrink by a factor of 1∕3 and horizontal shift to the left 4 units?

Answers

Answer: h(x) = 3*(1/6)^(x + 4)

Step-by-step explanation:

if we have a function g(x), and we want to create another function h(x) such that:

h(x) is a vertical contraction/dilation of factor a.

Then h(x) = a*g(x).

h(x) is a right shift of N units (N positive):

h(x) = g(x - N)

Then:

A vertical shink of factor 1/3 means that:

h(x) = (1/3)*g(x)

And a left shift of 4 units (or a right shift of -4 units) means that

h(x) = (1/3)g(x - (-4)) = (1/3)*g(x + 4)

and we know that:

g(x) = 9*(1/6)^x

Then:

h(x) = (1/3)*9*(1/6)^(x + 4) = 3*(1/6)^(x + 4)

(4x - 5y + 3z) + (-4x +5y +3z)

Answers

Answer:6z

Step-by-step explanation:

Question:

(4x - 5y + 3z) + (-4x +5y +3z)

First Step:

Remove parenthesis

4x - 5y + 3z + -4x +5y +3z

Second Step:

Add like terms

4x + -4x = 0

-5y + 5y = 0

3z + 3z = 6z

Final Answer

6z

<!> Brainliest is much Appreciated! <!>

Answer:

6z

Step-by-step explanation:

(4x - 5y + 3z) + (-4x +5y +3z)

Combine like terms

4x - 4x   -5y +5y  +3z+3z

0+0+6z

6z

2xsquared +3x-20=0 solve using quadratic formula

Answers

Answer:

[tex]\frac{5}{2} ; -4[/tex]

Step-by-step explanation:

2x² + 3x - 20 = 0

a = 2 ; b = 3 ; c = -20

[ -b ± √(b² - 4ac) ] /2a = [-3±√(3²-4*2*-20]/2*2

                                 = [-3±√(9+160)]/4

                                = [-3±√169 ]/4

                                = [-3± 13]/4

                                = [tex]\frac{-3+13}{4} ;\frac{-3-13}{4}\\\\=\frac{10}{4} ; \frac{-16}{4}\\\\=\frac{5}{2} , -4[/tex]

2x² + 3x - 20 = 0

2x² + 8x - 5x - 20 = 0

2x(x+4) - 5(x+4) = 0

(x+4)(2x-5) = 0

x+4 = 0

x = -4

2x - 5 = 0

2x = 5

x = 5/2

What is the solution to this system of linear equations?

y − x = 6

y + x = −10

1.(−2, −8)
2.(−8, −2)
3.(6, −10)
4.(−10, 6)

Answers

Answer:

(-8, -2)

Step-by-step explanation:

Combine these equations:  You'll get 2y = -4, so that y = -2.

Substituting -2 for y in the second equation, you'll get -2 + x = -10, or x = -8

Thus the solution is (-8, -2)

WXY is congruent to CBA, If

Answers

Answer:

If they are opposite.

how many real roots and how many complex roots are possible with a root of 9

Answers

Answer:

12

Step-by-step explanation:

because the more the root the faster the plant grows

BRAINLY: Ken is working this summer as part of a crew on a
farm. He earned $8 per hour for the first 10 hours he
worked this week. Because of his performance, his
crew leader raised his salary to $10 per hour for the
rest of the week. Ken saves 90% of his earnings from
each week. What is the least number of hours he
must work the rest of the week to save at least $270 for the week? Please show how you got your answer

Answers

Answer:

22 hours

Step-by-step explanation:

Ken saves 90% of his earnings.

So, he must earn

270/x =90/100

90x=270*100

90x=27,000

x=27000/90

=300

x=$300 to save $270

For starting 10hours, Ken earns $8 per hour so he earns total

$8*10 hours=$80

Now, Ken has to earn remaining

$220 at a rate of $10/hour, he must work for at least

$220/$10

=22hours

Consider the system of equations in standard form. 5x + y = 25, x + 5y = –25 Keisha used the graphing calculator and identified the solution as (6, –6). Is she correct? If not, what was her mistake? Yes, Keisha is correct. No. She switched the x and y values No. She only estimated instead of hovering over the intersection to find the exact point. No. She picked a point on one line instead of the intersection point.

Answers

Answer:

No.  She only estimated instead of hovering over the intersection to find the exact point.

Step-by-step explanation:

I used a graphing tool to graph the two lines. They pass at (6.25, -6.25). Since Keisha said the solution was (6, -6), which is not correct, she has most likely rounded the two values instead of finding the exact one.

Answer:

No. She used the wrong slopes when graphing the equations.

hope this helps i did it in Edge and got it right

mark me brainliest pls

In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a good first impression. Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression? Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression. Repeat part (b) using a confidence level of 80%. Compare the confidence levels from parts (b) and (c) and identify the interval that is wider. Why is it wider?

Answers

Answer:

( a ) 463 " human resource professionals " believe that the appearance of a job applicant is most important for a good first impression

( b )  Percent wise the confidence interval should be from about 86.6% to 93.4%

Step-by-step explanation:

I believe these first two parts here is sufficient enough to get you started!

" In a Harris poll of 514 human resource professionals, 90% said that the appearance of a job applicant is most important for a good first impression. Part A: Among the 514 human resource professionals who were surveyed, how many of them said that the appearance of a job applicant is most important for a good first impression?

Part B: Construct a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression. "

_____

( a ) We are given that n = 514, and p = 90%. The number of human resource professionals that said that the appearance of a job applicant is most important for a good first impression, should be the following -

514 x [tex]\frac{90}{100}[/tex]

= [tex]\frac{46260}{100}[/tex]

= 462.6

As the count of people can't be expressed as a fraction, the solution should be about 463 " human resource professionals. "

_____

( b ) Here the confidence level is 0.99 percent. Knowing that -

1 - ∝ = 0.99,

∝ = 1 - 0.99... = 0.01

Therefore, a 99% confidence interval estimate of the proportion of all human resource professionals believing that the appearance of a job applicant is most important for a good first impression should be calculated as directed in the attachment. By that the interval ranges as such -

0.8659 < p < 0.9341

And percent wise the confidence interval should be from about 86.6% to 93.4%

For three consecutive numbers, the sum of the first number, twice the second, and 7
less than the third is 133. What are the three numbers?​

Answers

Answer:

a = 34

b = 34

c = 36

Step-by-step explanation:

a ; b ; c = consecutive numbers =>

b = a + 1

c = a + 2

a + 2b + c - 7 = 133

a + 2(a + 1) + (a + 2) - 7 = 133

a + 2a + 2 + a + 2 - 7 = 133

4a = 133 + 7 - 4

4a = 136

a = 34

b = 34

c = 36

In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x^2 to the number of x-intercepts in the graph of g(x) = x^2 + 2. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).

Answers

Answer:

Step-by-step explanation:

To answer this question we should analyze both functions :

the intercepts with the x-axis are the numbers when a function f(x)=0

here we must solve both equations :

x²=0x²+2=0

the first one is obvious x=0 the scond is more interesting :

x²+2=0⇔x²=-2 wich is impossible since x²≥0 unless we use complex numbers .

So we notice thatf has one intercept.

we added 2 to f to get g but no real intercepts

Help me answer this PLEASE !!

Answers

Answer:

1. A = 2184 yd. P = 212 yd.

Step-by-step explanation:

1. To find the perimeter of an object you need to do this formula: 2L * 2W which is 2 times the length times 2 times the width.

To find the Area you have to do this formula: H * W which means height times width.

2. They would need the area to fill the rectangle since you need to fill it and the area is the inside of the rectangle

3. She will need the perimeter since she is walking around the field and the perimeter is the outside (around) the shape.

Please help me match these formulas thank you :)

Answers

Answer:

Circle Circumference: 5

Triangle: 8

Circle Area: 3

Regular Polygon: 7

Parallelogram:6

Equilateral triangle: 1

Trapezoid:4

Rectangle:2

Step-by-step explanation:

I don't know how I would do a step by step explanation

WILL AWARD BRAINLIEST PLEASE HELP!!!

Answers

Answer:

A

Step-by-step explanation:


The vector a and the vector b are shown on the grid.
y
6
a) Write a as a column vector
A
va
a
Ab
2
b) Work out 2a - b as a column

Answers

a) a as a column vector is [tex]\left(\begin{array}{c}1\\-2\end{array}\right)[/tex]

b) 2a -b as a column vector is [tex]\left(\begin{array}{c}1\\-7\end{array}\right)[/tex]

Vectors

To write a vector as a column vector, the number at the top is the magnitude of the x component (horizontal component) of the vector and the number at the bottom is the magnitude of the y component (vertical component) of the vector

For vector a

Magnitude of the vertical component = 1

Magnitude of the vertical component = -2

NOTE: Negative sign indicates that the direction of the vector is downwards

Thus, vector a as a column vector is

[tex]a = \left(\begin{array}{c}1\\-2\end{array}\right)[/tex]

Hence, a as a column vector is [tex]\left(\begin{array}{c}1\\-2\end{array}\right)[/tex]

For vector b

Magnitude of the vertical component = 1

Magnitude of the vertical component = 3

[tex]b = \left(\begin{array}{c}1\\3\end{array}\right)[/tex]

Now, we are to work out 2a - b

That is,

[tex]2a -b = 2 \left(\begin{array}{c}1\\-2\end{array}\right)-\left(\begin{array}{c}1\\3\end{array}\right)[/tex]

[tex]2a -b = \left(\begin{array}{c}2\\-4\end{array}\right)-\left(\begin{array}{c}1\\3\end{array}\right)[/tex]

[tex]2a -b = \left(\begin{array}{c}2-1\\-4-3\end{array}\right)[/tex]

[tex]2a -b = \left(\begin{array}{c}1\\-7\end{array}\right)[/tex]

Hence, 2a -b as a column vector is [tex]\left(\begin{array}{c}1\\-7\end{array}\right)[/tex]

Learn more on Vectors here: https://brainly.com/question/21807172

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Which of the equations are true identities n^3+3n^2

Answers

Answer:

n^2(n + 3)

Step-by-step explanation:

n^3 + 3n^2 factors as follows:  n^2(n + 3).  Note that this is an expression, not an equation.

The height of a building is 300 feet and its width
is 200 feet. A scale model of the building is 6
inches high. How wide is the scale model?​

Answers

Answer:

50 in.

Step-by-step explanation:

Real building:

height 300 ft

width 200 ft

Model building:

height 6 in.

width 50 in.

300/6=50

Hope this helps! :) :)

The scale model of building is 4 inches wide.

The height of a building is 300 feet
its width is 200 feet
A scale model of the building is 6 inches high

What is the Ratio?

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

let scale model of the building is "x" inches wide.
= 300/6 = 200/x
x = 4

Thus, The scale model of building is 4 inches wide.

Learn more about Ratio here:
brainly.com/question/13419413

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Need Help With this question

Answers

Answer:

Area of ΔDEF = 12 in²

Step-by-step explanation:

Since they are similar, we have to find the scale factor

Scale Factor = [tex]\frac{Side OfDilated Triangle}{Side of Original Triangle}[/tex]

Scale Factor = 4/2

Scale Factor = 2

This means The area of ΔABC is 2 times the area of ΔDEF

So,

ΔABC = 2(ΔDEF)

Where Area of ΔABC = 24 in²

24 = 2(ΔDEF)

Dividing both sides by 2

=> Area of ΔDEF = 12 in²

Given the following system of equations, solve it by using substitution and elimination. Do
you get the same answer? Why or why not? Explain using complete sentences.
2x+3y = -14
3x + y =-14

Answers

Step-by-step explanation:

2x+3y=-14------equation i ×1

3x+y=-14--------equation ii ×3

2x+3y=-14

9x+3y=-42

-7x =- 28

x=4

Substitute for x in equation ii

3x+y= -14

3(4)+y=-14

12+y=-14

y=-14-12

y=- 26

heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp

Answers

Answer:

0.6 - 1/4

Convert the decimal to fraction

Thus

0.6 = 3/4

3/5 - 1/4

Find the LCM

the LCM is 20

We get

3/5 - 1/4 = (3(4) - 5)/ 20

= 12-5/20

= 7/20

2/5 + 0.75

0.75 = 3/4

Find the LCM

The LCM is 20

Thus

3/4 +2/5 = ( 3(5) + 2(4))/20

= 15 + 8 /20

= 23 / 20 or 1 3/20

1.75 - 1/6

Convert the decimal to fraction

1.75 = 7/4

Thus we get

7/4 - 1/6

Find the LCM

The LCM is 12

Thus

7/4 - 1/6 = ( 7(3) - 2)/12

= 21 - 2 / 12

= 19/ 12 or 1 7/12

3/10 + 2.125

Convert the decimal to fraction

2.125 = 17/8

Thus

3/10 + 17/8

Find the LCM

the LCM is 40

Thus

3/10 + 17/8 = ( 3(4) + 17(5))/40

= 12 + 85/40

= 97 /40 or 2 17/40

Hope this helps

Answer:

1.15

19/12

2.425

Step-by-step explanation:

2/5+0.75

2/5=4/10

4/10=0.4

0.75+0.4

1.15

1.75-1/6

1.75=7/4

7/4=14/8=21/12

21/12-2/12

19/12, or 1.5833...

3/10=0.3

0.3+2.125=2.425


2. In the diagram below, angle AOB = 66°
Find angle OAB, giving reasons for your answer.​

Answers

Answer:

57°

Step-by-step explanation:

Δ AOB has 2 equal sides as radius of the circle, this is isosceles triangle

So the angles ∠OAB= ∠OBA

∠AOB= 66° and sum of 3 angles = 180°

So  ∠OAB= (180° - 66°)/2= 57°

Other Questions
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