y is directly proportional ( x+2)²
when x = 8 y= 250
find y when x = 4​

Answers

Answer 1

Answer:

y=90 when x=4

Step-by-step explanation:

We are given that

[tex]y\propto (x+2)^2[/tex]

When x=8 and y=250

We have to find the value of y when x=4

[tex]y=k(x+2)^2[/tex]

Where k= Proportionality constant

Substitute the values

[tex]250=k(8+2)^2[/tex]

[tex]250=100k[/tex]

[tex]k=\frac{250}{100}[/tex]

[tex]k=5/2[/tex]

Now, substitute x=4 and k=5/2

Then, we get

[tex]y=\frac{5}{2}(4+2)^2[/tex]

[tex]y=\frac{5}{2}\times 36[/tex]

[tex]y=90[/tex]


Related Questions

Soren solves the quadratic equation x^2 + 8x – 9 = 0 using the quadratic formula. In which step did Soren make an error?

Answers

Answer:

step 3 didn't divide by 2

Step-by-step explanation:

in step

[tex] \frac{ - 8 + \sqrt{100} }{2} = \frac{ - 8 + 10}{2} = 1 \\ \frac{ - 8 - \sqrt{100} }{2} = \frac{ - 8 - 10}{2} = - 9[/tex]

I need an answer now. 6-|p+7|=-9 Will give brainlyest

Answers

Answer:

p=8, -22

Step-by-step explanation:

Move 6 to the other side

-|p+7|=-15

Now move the - symbol to the other side

|p+7|=15

Now

p+7=15

and

p+7=-15

Solve both the equation

p=8, -22

Hope this helps!

Which equation represents the parabola with focus (8, 4) and vertex (8, - 2)

Answers

Answer:

8.4 whic e querido representante the parábola 8.3

please help em with this

Answers

a) 5 m

b) 8 yd

Step-by-step explanation:

a) Take the ratios of the legs of the triangles. Since they are similar triangles, those ratios are equal.

d/(4 m) = (10m)/(8 m)

Solving for d,

d =(10/8)(4 m) = 5 m

b) m/(10 yd) = (12 yd)/(10 yd + 5 yd) = 12/15 = 4/5

Solving for m,

m = (4/5)(10 yd)

= 8 yd

Answer:

d = 5m

m = 6yd

Step-by-step explanation:

Question 1.)

We know that segment GF is half of CD, therefore EF would be half of CE.

=> CE / 2 = EF or d

=> 10 / 2 = EF or d

=> 5 = EF or d

Question 2.)

We know that segment DE is half of EF, so segment EG would be half of DH;

=> DH / 2 = EG or m

=> 12 / 2 = EG or m

=> 6 = EG or m

Hope this helps!

Find the missing probability.

Answers

Answer: d

Step-by-step explanation:

5. The Toy Car Company sells toy cars for $8.00
per car and charges $3.50 for shipping.
a.

Answers

Answer:11.50

Step-by-step explanation:

P(A and B)=P(A)•P(B) is used when two events are used when two events are

Answers

Answer:

Independent.

Step-by-step explanation:

Independent events:

Two events, A and B, are said to be independent if the probability of both happening is the same as the multiplication of the probabilities of each happening, that is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Thus, P(A and B)=P(A)•P(B) is used when two events are independent.

Find the volume of this square
based pyramid.
8 cm
6 cm
[? ]cm3

Answers

Answer:

the answer would be 128cm³

Step-by-step explanation:

have a great rest of ur day

Answer:

96cm

Step-by-step explanation:

What is the approximate volume of the cylinder use 22/7 for 3.14 round to the nearest whole number

Answers

Answer:

the formula for a cylinder is πr^2•h

Step-by-step explanation:

just plug in the numbers, and you can change π to 3.14 for an approximate answer!

hopefully this helps you!

[tex]\pi {r}^{2} h \\ 22 \div 7 \times {r}^{2} h[/tex]

Convert 69 g/cm to kilograms per meter (kg/m).

Answers

Answer:

69g/cm is 6.9kg/m

Step-by-step explanation:

[tex]1 g --> \frac{1}{1000}kg\\\\69g --> \frac{69}{1000}kg\\\\1cm --> \frac{1}{100}m\\\\\frac{69 g}{1cm} = \frac{\frac{69}{1000} }{\frac {1}{100}} = \frac{69}{1000} \times \frac{100}{1} = \frac{69}{10} = 6.9kg/m[/tex]

Answer:

[tex]69 \: g {cm}^{ - 1} \\ 69 \times {10}^{ - 3} \times ({10}^{ - 2} ) ^{ - 1} kg \: {m}^{ - 1} \\ 69 \times {10}^{ - 1} \: kg {m}^{ - 1} \\ 6.9 \: kg {m}^{ - 1} [/tex]

Which of the following represents the range of the graph of F(x) below?

Answers

C I think because I was taught this

i know the answer but i need a thorough explanation on how to do this. pls answer the questions i have for brainliest thank you

Answers

Answer:

i think because it's powered by 4

(27x^3)^4/3 = 27^(4/3) * (x^3)^(4/3) =
(3^3)^(4/3) * (x^3)^(4/3) =
3^(3*4/3) * x^(3*4/3) =
3^4 * x^4 =
81*x^4

HELP PLSS I DONT UNDERSTAND A THING

Answers

Answer:

1 no

angle 1 =53 degree (being vertically opposite angle)

angle 2=127 degree(being linear piar)

angle 3 =127 degree(being vertically opposite angles)

2 no

angle 1=155.1(being linear pair)

angle 2=24.9(being vertically opposite angles)

angle 3=155.1(beinf linear pair)

3 no

angle 1=68 degree(being linear pair)

angle 2=112 degree(being vertically opposite angle)

angle 3=68 degree(being vertically opposite angle)

4 no

angle 1=54.5 degree(being linear pair)

angle 2=125.5 degree(being vertically opposite angle)

angle 3=54.5 degree(being vertically oppostie angle)

Step-by-step explanation:

Let W represent that a car is white, let N represent that a car is new, and let M represent that a car is mine. Analyze the logical form of the following statements:

a. If the car is not white and new, then it is mine.
b. The car being white or new is a sufficient condition for it being not mine.
c. The car is mine if and only if it is new and not white.

Answers

Answer:

Remember that if we have a proposition P, ¬P is the negation of that proposition.

We have:

W = car is white

¬W = car is not white

N = car is new

¬N = car is not new

M = the car is mine

¬M = the car is not mine.

Now, whit that defined, let's analyze the statements:

a: " If the car is not white and new, then it is mine."

We can write this as:

"Not W and N, then M"

using only symbols this is:

(¬W ∧ N) ⇒ M

where the symbol ∧ means "and"

and the symbol ⇒ means "then"

b " The car being white or new is a sufficient condition for it being not mine."

We can rewrite this in a simpler way:

"if the car is white or new, then is not mine"

We can write this as:

W or N, then, not M

using the symbols, we get:

(W ∨ N) ⇒ ¬M

Where the symbol ∨ means "or"

c " The car is mine if and only if it is new and not white."

This can be rewritten as:

"M if and only if N and not W"

Using only symbols, we get:

M ⇔ (N ∧ ¬W)

Where "⇔" means "if and only if"

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
X+7
X+1
Area=
ASAP!!!!!!

Answers

Answer:

Area = x² + 8x + 7

Step-by-step explanation:

Area of a rectangle formula = L * W

Length (L) of the given figure = (x + 7)

Width (W) of the given figure = (x + 1)

Area = L * W

Area = (x + 7) * (x + 1)

=> x * x = x²

=> x * 1 = 1x or x

=> 7 * x = 7x

=> 7 * 1 = 7

Combining it all together;

Area = x² + 1x + 7x + 7

Combine the like terms:

Area = x² + 8x + 7

Hope this helps!

The area of the entire rectangle in the polynomial form will be x² + 8x + 7.

What is the area of the rectangle?

Let W be the rectangle's width and L its length. The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be given as,

Area of the rectangle = L × W square units

The dimensions of the big rectangle are x + 1 high and x + 7 long. Then the area of the rectangle is calculated as,

A = (x + 7)(x + 1)

Simplify the equation, then we have

A = (x + 7)(x + 1)

A = x² + 7x + x + 7

A = x² + 8x + 7

More about the area of the rectangle link is given below.

https://brainly.com/question/20693059

#SPJ2

A cab company charges a flat fee of $4 for a new passenger. it then charges $2.35 per mile until until the destination is reached

1- 4m+ 2.35=total cost
2- 4m-2.35=total cost
3- 2.35-4m= total cost
4- 2.35m+4=total cost

PLEASE I NEED ANSWERS!!

Answers

Answer:

number 2 is your answer for your problem

What is the probability that both spinners will land on 2?
1/12. 1/6. 1/4. 1/3

Answers

Answer:

1/4 bczz its not saying about the highest its about average and the average is 1/4

1/12 bc there are two spinners with 6 spots each

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is __________ .

Answers

Answer:

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 76%

Step-by-step explanation:

Complete question

Please find the attachment

Solution

The frequency distribution is as follows

Interval Frequency Cumulative Frequency Relative Cumulative Frequency

1 to 5 8 8 0.16

6 to 11 8 16 0.32

11 to 15 13 29 0.58

16 to 20 9 38 0.76

21 to 25 3 41 0.82

26 to 30 4 45 0.9

31 to 35 3 48 0.96

36 to 40 2 50 1

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 76%

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is 0.68.

From the given figure (image 1)

The cumulative frequency of students who earned a score of 20 or lower on the quiz is = 4+8+15+7=34.

Total frequency is = 4+8+15+7+7+3+4+2=50.

So the relative cumulative frequency is = 34/50 = 0.68 = 68%

Learn more: https://brainly.com/question/13646998

Can someone please answer?

Answers

Answer:

The answer is 24

Step-by-step explanation:

24 based on the pattern where 1 is 8, 2 is 16, 3 is 24, and 4 is 32 in the periodic table

please no link! need question answered as soon as possible

Answers

[tex]\huge\bold{Given :}[/tex]

Angle 1 = 40°

Angle 2 = x°

Angle 3 = ( x + 28 )°

[tex]\huge\bold{To\:find :}[/tex]

The value of x.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]{\boxed{\mathcal{\purple{The\:value\:of\: x \:is\:56 ° .\:}}}}[/tex]✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

➪ ∠ 1 + ∠ 2 + ∠ 3 = 180°

➪ 40 + x° + x° + 28° = 180°

➪ 2x° + 68° = 180°

➪ 2x° = 180° - 68°

➪ x° = [tex] \frac{112° }{2} [/tex]

➪ x° = 56°

[tex]\sf\red{Therefore, \:the\: value \:of \:x\: is \:56°.}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

∠ 1 + ∠ 2 + ∠ 3 = 180°

✒ 40° + 56° + 56° + 28° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]

A triangle on the coordinate plane has vertices (-8,3), (3,9), and (9,3). What is the area, in square units, of the
triangle?
Please help

Answers

Answer:

51 sq units

Step-by-step explanation:

after plotting the vertices, the height of the triangle is 6 and the base is 17

A = 1/2(6)(17)

A = 51 sq units

help me pls i’m stuck

Answers

Answer:

m=1

Step-by-step explanation:

Slope is equal to the change in y over the change in x, or rise over run.

m=change in y / change in x

[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} } \\m=\frac{-3-1}{-3-1}[/tex]

can someone please help me on this

Answers

V= 64cm3

Regards,
Cee:)

Compound interest
Plz help!!!

Answers

Answer:

a) [tex]A(t) = 17500(1.0053)^{12t}[/tex]

b) The balance after 8 years will be of $29,069.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

a)

Loan of $17,500 means that [tex]P = 17500[/tex]

6.4% interest rate means that [tex]r = 0.064[/tex]

Compounded monthly means that [tex]n = 12[/tex]. So

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]A(t) = 17500(1 + \frac{0.064}{12})^{12t}[/tex]

[tex]A(t) = 17500(1.0053)^{12t}[/tex]

b)

This is A(8). Then

[tex]A(8) = 17500(1.0053)^{12*8} = 29069[/tex]

The balance after 8 years will be of $29,069.

PLS HELP I WILL GIVE BRAINLIEST

Answers

Answer:

im pretty sure its -14

Step-by-step explanation

Answer:

s= -17/12

17/12

Step-by-step explanation:

-5s - 14 = 7s +3

−5−14=7+3

-5s-14=7s+3

−5s−14=7s+3

−5−14+14=7+3+14

−5=7+17

-5s=7s+17

−5s=7s+17

−5−7=7+17−7

[tex]s=-\frac{17}{12}[/tex]

Help!!!!!!!!!!! !!!!!

Answers

Answer:

D. 3900π

Step-by-step explanation:

volume = 1/3 πr²h   ... r = 30,  h = 13

v = 1/3 * 30² * 13 * π = 3900π

Please help just put answer

Answers

Answer
............
Ssszxsxxzjdnndnd dj shh dbd

The answer is: 15 ft

Which fraction is equivalent to 12/27? help

Answers

[tex]\begin{gathered}\dfrac{12}{27}=\dfrac{12:3}{27:3}=\dfrac{4}{9}\\\\\dfrac{12}{27}=\dfrac{12\cdot2}{27\cdot2}=\dfrac{24}{54}\\\\\dfrac{12}{27}=\dfrac{4}{9}=\dfrac{4\cdot2}{9\cdot2}=\dfrac{8}{18}\\\vdots\end{gathered}[/tex]

Hope This Helps You

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Fractions equivalent to [tex] \frac{12}{27} [/tex] are :-

1st Fraction :-

[tex] \frac{12 \div 3}{27 \div 3} \\ = \frac{4}{9} [/tex]

2nd Fraction :-

[tex] \frac{12 \times 2}{27 \times 2} \\ = \frac{24}{54} [/tex]

3rd Fraction :-

[tex] \frac{12 \times 3}{27 \times 3} \\ = \frac{36}{81} [/tex]

3 fractions equivalent to [tex] \frac{12}{27} [/tex] are [tex] \frac{4}{9} , \: \frac{24}{54} , \: \frac{36}{81} [/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

what is the area of

Answers

Answer:

7 * 9 = 63

63 for when both of the triangles are combined, 31.5 for one triangle.

Rectangle = 18 * 22 = 396

396 + 63

459 cm^2


Three hens can lay three eggs in three minutes? How many eggs do the hens lay in 2 hours assuming consistent
output?

Answers

assuming 2hrs is 120mins and 120mins is 7200sec divide 7200 by 3 which is 2400

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