Given H(t)=10-2t^2 , find h^-1 (t)

Answer:

8(2c - d)

Step-by-step explanation:

16c - 8d ← factor out 8 from each term

= 8(2c - d)

Answer:

it's one of this two. if it's exactly how you have written it , it's the first picture.

Answer:

12[tex]\sqrt{5}[/tex]x^5

Step-by-step explanation:

Apply exponent rule

Add the numbers

Multiply the numbers

Factor integer

Answer:

4

Step-by-step explanation:

Answer: 60

Step-by-step explanation:

write down the 12 times table

12 , 24, 36, 48, 60, 72, 84, 96, 108, 120

20, 40, 60, 80, 100, 120, 140, 160, 180, 200

Now you can see that 60 is the multiple that comes up first in both of the times tables which means it is the lowest common factor.

Answer:

27 units

Step-by-step explanation:

let t represent time and n represent number of units

given t is directly proportional to n then the equation relating them is

t = kn ← k is the constant of proportion

to find k use the condition t = 22, n = 18 , then

22 = 18k ( divide both sides by 18 )

[tex]\frac{22}{18}[/tex] = [tex]\frac{11}{9}[/tex] = k

t = [tex]\frac{11}{9}[/tex] n ← equation of variation

when t = 33 , then

33 = [tex]\frac{11}{9}[/tex] n ( multiply both sides by 9 )

297 = 11n ( divide both sides by 11 )

27 = n

27 units are produced in 33 minutes

Answer:

Step-by-step explanation:

It’s 60 baka

Answer:

0.001

Step-by-step explanation:

Answer:

[tex]\frac{1}{1000}[/tex]

Step-by-step explanation:

[tex]10^{-3}[/tex]

[tex]= \frac{1}{10^{3}}[/tex]

[tex]= \frac{1}{1000}[/tex]

Answer:

900 acres of wheat

1350 acres of corn

750 acres of oats

Step-by-step explanation:

3000 = 100%

÷ 10 both sides

300 = 10%

× 3

900 = 30%

300 = 10%

× 4

1200 = 40%

300 ÷ 2 = 150 (5%)

1200 + 150 = 1350

1350 + 900 = 2250

3000 - 2250 = 750

Answer:

$120.67

Step-by-step explanation:

1. 55+29.99+27.79 = 112.78

2. 7% of 112.78 is 7.89

Answer:

28

Step-by-step explanation:

Replace x with 3, and multiply the number next to it.

5(3)= 15

3(3)=9

so, 15-3+9+7=28

Answer:

28

Step-by-step explanation:

To solve this, replace every x with (3). If x is next to a number, that means you multiply that number and the value of x. This gives us the equation 5(3)-3+3(3)+7. When a set of parentheses are next to a number, you multiply. 5 times three is 15, and 3 times 3 is 9. This gives us 15-3+9+7. 15 - 3 is 12. 12 + 9 is 21. 21 + 7 is 28. 28 is your answer.

Answer:

  π/6 ≈ 11/21 cubic units

Step-by-step explanation:

Use the given values in the formula for the volume of a sphere:

  V = 4/3πr³

  V = (4/3)(22/7)(1/2)³ = 4·22/(3·7·8) = 11/21 . . . . cubic units

We know,

[tex]{\qquad { \longrightarrow \pmb {\sf Volume_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3} }}}[/tex]

Here,

⠀

Substituting the values in the formula :

[tex] { \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times {\bigg(\dfrac{1}{2} \bigg)}^{3} }}}[/tex]

[tex] { \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times \dfrac{1}{8} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{ \cancel4}{3} \times \dfrac{22}{7} \times \dfrac{1}{ \cancel8} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{ 1}{3} \times \dfrac{22}{7} \times \dfrac{1}{ 2} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{22}{3 \times 7 \times 2} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{22}{42} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\bf Volume_{(Sphere)} = \dfrac{11}{21} }}}[/tex]

⠀

Therefore,

you're correct that, since Hugo is charging Johnny $2000, so the amount invested will be 98000.

[tex]~~~~~~ \stackrel{\textit{\Large Hugo}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$98000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &15 \end{cases}[/tex]

[tex]A=98000\left(1+\frac{0.06}{4}\right)^{4\cdot 15}\implies A=98000(1.015)^{60}\implies A\approx 239435.54 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \stackrel{\textit{\Large Hector}}{\textit{Compound Interest Earned Amount}}[/tex]

[tex]A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$100000\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases} \\\\\\ A=100000\left(1+\frac{0.055}{12}\right)^{12\cdot 15}\implies A=100000\left( \frac{2411}{2400} \right)^{180}\implies A\approx 227758.38[/tex]

well, seems that even though Hugo is charging some Johnny, the returned amount is more than with Hector, so Johnny should give Hugo a call.

Answer:

The measure of angle ∠PQS is 28.5°

Step-by-step explanation:

If a ray bisects an angle, then it divides it into two equal angles in measures and the measure of each one is half of the measure of this angle.

In our question

∵ Ray QS bisects ∠PQR  

→ That means it divides it into two angles PQS and SQR

∴ m∠PQS = m∠SQR = [tex]\frac{1}{2}[/tex] m∠PQR

∵ m∠PQR = 57°

→ Multiply its measure by  [tex]\frac{1}{2}[/tex] to find the measures its parts

∴ m∠PQS =  [tex]\frac{1}{2}[/tex] × 57°

∴ m∠PQS = 28.5°

∴ The measure of angle ∠PQS = 28.5°

Answer:

19.2

Step-by-step explanation:

Take note:

a = edge

v = volume

Equations for a Cube

[tex]v=a^{3}[/tex]

[tex]a=v^{\frac{1}{3} }[/tex]

We are given V. Plug 7,077.888 into the second equation.

[tex]a=7077.888^{\frac{1}{3} }[/tex]

[tex]a=19.2[/tex]

Answer:

[tex]90 \sqrt{2} [/tex]

Step-by-step explanation:

This is a 45°-45°-90° right triangle, so the length of the hypotenuse is √2 times the length of a leg. Since both legs have length 90, the hypotenuse has length 90√2. So y=90√2.

Answer:

-71 + 71 =0 so 0°

Step-by-step explanation:

I hate the fact that it needs to be 20 letters

Answer:

Step-by-step explanation: if Peytons base pay= $60 plus she earns commission on $x (computers sold)

P= $60+ (0.025x)

You would multiply by 0.025 as this equals 2.5%

Remember PEMDAS- parentheses, exponents, multiplications, division, addition, subtraction

Answer:

143 to the nearest Whole #

Step-by-step explanation:

100/0.70=142.59

Answer:

12123

Step-by-step explanation:

Answer:

A.) -3.396

Step-by-step explanation:

On edg ;)

Answer:

it's 21/4

Step-by-step explanation:

on time 4 learning

p.s. stream sour by Olivia Rodrigo

Answer:

14^2

Step-by-step explanation:

i just plugged into calculator lol

Given expression:

                    14⁶   /   14⁴

   Using the exponent rule;

               [tex]\frac{x^{n} }{x^{m} }[/tex]   = [tex]x^{n-m}[/tex]

  So;

                 x  = 14

                 n = ⁶6

                  m = 4

So;

         [tex]\frac{14^{6} }{14^{4} }[/tex]  = 14⁶⁻⁴

                = 14²

Answer:

A = 30

Step-by-step explanation:

cross multiply to get A out from the denominator

4/5 = 24 /A

4A = 24 x 5

4A = 120

4A/4 = 120/4   divide

A = 30

Answer:

daughter = 9yrs

mother = 27yrs

Step-by-step explanation:

let age of daughter be x

age of mother = 3x

by qsn,

three yrs ago,

4 (x-3) = 3x-3

4x-12 = 3x-3

4x-3x = -3+12

× = 9 yrs (age of daughter )

3x = 3×9 = 27 yrs ( age of mother)

Answer: Ayden has 11 football cards,44 baseball cards and 51 Pokemon cards which totals  106 cards all together

Step-by-step explanation:

STEP 1 :

Let x represent number of football cards

He has four times as many baseball cards as football cards, let baseball cards be = 4x

Pokémon cards contain 7 more cards than his baseball collection,let Poke mon cards = 4x +7

Step 2 :

Putting in equation we have that

Football cards + Baseball cards + Pokemon cards = 106 cards

Therefore,

x + 4x + 4x+7 = 106

9x + 7 = 106

9x = 106-7

9x = 99

x =99/9 = 11

therefore football cards , x = 11 football cards

 baseball cards = 4x = 4 x 11 = 44 baseball cards

Pokemon cards = 4x+7= 4x11 +7 = 44 +7 =51 Pokemon cards

Answer:

[tex]it \: has \: a \: circular \: symmetry[/tex]

Answer:

(2n+3)(2n+5)

Step-by-step explanation:

Answer:

15a² + 21a + 19 = 0

Step-by-step explanation:

(4a + 3)² = (a + 5)(a - 2)

16a² + 24a + 9 = a² + 3a - 10

15a² + 21a + 19 = 0

Answer:

option 2 = 48 cm ²

12 × 4 = 48

cm × cm = cm²

answer = 48 cm²

Answer:

12 tiles

Step-by-step explanation:

1 yard = 3 feet, so 3*4 = 12, because it makes four yards in total with each side being a yard.