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sukhopar [10]
4 years ago
8

Pls help me with 4 and 5​

Mathematics
1 answer:
Artyom0805 [142]4 years ago
7 0

5. do 0.7÷0.05. it gives you 14. to check your work, do 14×0.05 which will be 0.7

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If h(x)=(f o g) (x) and h(x)= ∛x+3, find g( x) if f(x)= ∛x+2 (picture attached)
Aleksandr-060686 [28]

Answer:

g(x) = x+1

Step-by-step explanation:

Informally, you can see that the function h(x) takes the root of a value that is 1 more than the value under the same radical in f(x). This suggests that adding 1 to x in f(x) will give you h(x). That is, ...

h(x) = f(x+1) = f(g(x))

so

g(x) = x+1

_____

More formally, you can apply the inverse of the function f(x) to the equation ...

h(x) = f(g(x))

f^-1(h(x)) = f^-1(f(g(x))) . . . inverse function applied

f^-1(h(x)) = g(x) . . . . . . . . . simplified

Now f^-1(x) can be found by solving for y in ...

x = f(y)

x = ∛(y+2) . . . . . . . . . definition of f(y)

x^3 = y+2 . . . . . . . . . cube both sides

x^3 -2 = y = f^-1(x) . . . subtract 2 from both sides

So, f^-1(h(x)) is ...

f^-1(h(x)) = g(x) = (∛(x+3))^3 -2 = x+3 -2

g(x) = x+1

5 0
3 years ago
Nell's mom makes chocolate milk with 30\text{ mL}30 mL30, start text, space, m, L, end text of chocolate syrup for every 222 oun
mixas84 [53]

Answer:

Hence Nell's mom Chocolate milk is more Chocolaty.

Step-by-step explanation:

Given:

Chocolate syrup used by Nell's mom  = 30 ml

Amount of milk used = 2 ounces.

We will first find Amount of chocolate syrup used in 1 ounce of milk.

Now In 2 ounces of milk = 30 ml of chocolate syrup.

So in 1 ounce of milk = Amount of Chocolate syrup used for 1 ounce milk.

By using Unitary method we get;

Amount of Chocolate syrup used for 1 ounce milk= \frac{30}{2}=15\ ml

Hence For every 1  ounce of milk Nell's mom uses 15 ml of chocolate syrup.

Also Given:

Chocolate syrup used by Nell's dad  = 65 ml

Amount of milk used = 5 ounces.

We will first find Amount of chocolate syrup used in 1 ounce of milk.

Now In 5 ounces of milk = 65 ml of chocolate syrup.

So in 1 ounce of milk = Amount of Chocolate syrup used for 1 ounce milk.

By using Unitary method we get;

Amount of Chocolate syrup used for 1 ounce milk= \frac{65}{5}=13\ ml

Hence For every 1  ounce of milk Nell's dad uses 13 ml of chocolate syrup.

Since The amount of chocolate syrup used by Nell's mom is more than Nell's dad.

Hence Nell's mom Chocolate milk is more Chocolaty.

6 0
3 years ago
How to solve for y if  the equation is y=5/2x + 5 if x is zero
Karolina [17]
y=\dfrac{5}{2}\cdot0+5\\
y=0+5\\
y=5
5 0
4 years ago
Read 2 more answers
The average height of a family of five is 150 cm. If the height of 4 family members is 153, 150, 151, and 152, find the height o
Lady bird [3.3K]
J can find the height of the fifth member on this way
S=150
S1=153
S2=150
S3=151
S4=152
S5=?
S= (s1+s2+s3+s4+s5)/5:
5*150= <span>153+150+151+152+S5
S5=5*150-606=750-606=144
Answer is 144 cm</span>
5 0
3 years ago
A cyclist travels at an average speed of 13 mph for 3 hours.<br> How far did she travel in miles?
alexgriva [62]

Answer:

39 miles

Step-by-step explanation:

We know that a cyclist travelled at an average rate of 13 miles per hour for 3 hours and are asked to how far she travelled in miles.

To solve, we need to take into mind that for three hours, the cyclist drove 13 miles per hour.

Meaning that for every hour, 13 miles were driven.

Therefore we need to multiply 13 by 3 to get our answer :

13 miles * 3hrs

39 miles

5 0
3 years ago
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