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natka813 [3]
3 years ago
8

I will venmo if someone can please help me

Mathematics
1 answer:
shutvik [7]3 years ago
4 0

Answer: 14.967

Step-by-step explanation:

Use Pythagorean Theorem to find the missing length.  

a² + b² = c²        

x² + 10² = 18²      

x² + 100 = 324         [Subtract 100 from both side]  

          x²= 224        

      √x² = √224     [solve the square root from both sides]

        x   ≈  14.967

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Given that f(x)= x^3/4 +6<br> a) Find f(4)<br> b) Find f^-1(x)<br> c) Find f^-1(8)
Anna35 [415]

a)

f(4)=\dfrac{4^3}{4}+6=4^2+6=16+6=22

b)

\begin{aligned}\\&y=\dfrac{x^3}{4}+6\\&4y=x^3+24\\&x^3=4y-24\\&x=\sqrt[3]{4y-24}\\&f^{-1}(x)=\sqrt[3]{4x-24}\end

c)

f^{-1}(8)=\sqrt[3]{4\cdot8-24}=\sqrt[3]{8}=2

7 0
2 years ago
Read 2 more answers
I will give branniest
KonstantinChe [14]

Answer:

112.5

Step-by-step explanation:

24x=2700

=> x= 2700/24

= 112.5

Therefore, x= 112.5

8 0
2 years ago
Match the real-world problem to its constant of proportionality.
irakobra [83]

Answer:

a. $18.36 for 3 pizzas  :  k  = 6.12

b. $4.17 for 3 pounds of bananas .   k  = 1.39

c. $16.48 for 4 pounds of potatoes .  k  = 4.12

d. 2 cups of flour to make 24 cookie .  k  = 12

Step-by-step explanation:

PROPORTIONALITY:

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k is called the PROPORTIONALITY CONSTANT.

⇒x \propto y \implies k = \frac{x}{y}  

Now, for the given quantities:

a.  $18.36 for 3 pizzas [box]    

Here, k = \frac{x}{y} = \frac{18.36}{3}  = 6.12

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here, k = \frac{x}{y} = \frac{4.17}{3}  = 1.39

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here, k = \frac{x}{y} = \frac{16.48}{4}  = 4.12

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here,  k = \frac{x}{y} = \frac{24}{2}  = 12

So, the proportionality constant is 12.

7 0
3 years ago
Please help ASAP please
mihalych1998 [28]

do you some help ?, I can try my best to help

6 0
3 years ago
Read 2 more answers
Sam needs a web designer. Designer A is offering her services for an initial $500 in addition to $100 per hour. Designer B is of
gavmur [86]

Answer:

2 hours

Step-by-step explanation:

Let's denote the amount of time we need to find out, t.

=> 600 + 50t < 500 + 100t

or 600 - 500 < 100t - 50t

or 100 < 50t

or 100/50 < t

or t > 2

=> After 2 hours, company B will be cheaper option than company A

3 0
3 years ago
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