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Natali5045456 [20]
3 years ago
14

Please help ASAP!!! THANK YOU SO MUCH

Mathematics
1 answer:
Andrei [34K]3 years ago
3 0
12. Divide total weight by weight of each. 1200 / 1.2 = 1000.
13. Total gas divided by number of cars will give amount of gas per car. 1350 /         100 = 13.5
14. The recipe gives the amount for 10 large bags. In other words, there is 750.2 grams in 10 bags. So divide by 10 to get the amount in 1 bag, which is B

15. Do the same process from 14. for oats and sunflowers, and then add them together. Answer is A
16. This is a bit diffrent but similar idea. Recipie gives for 100 snack sizes. So if we divided sunflower by tht we get 4.505. We need 2 bags however for a total of 9.01 grams. which is D
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X is equal to 26 —————————-
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3 years ago
Consider the exponential function f(x) = 2(3x) and its graph.
AveGali [126]

Answer:

The initial value of the function is <u>2</u>

The base of the function is <u>3</u>

The function shows exponential <u>growth</u>

Step-by-step explanation:

f(x) = 2(3^x)

Exponential functions are those with the following equation:

y = a*b^x

where a ≠ 0, b > 0 and b ≠ 1 and x is a real number.

<em>a</em> is the y-intercept and <em>b </em>is the base.

The initial value of the function is the same as the y-intercept

If <em>a</em> is positive, the function growth. If <em>a</em> is negative, the function decay

6 0
4 years ago
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hi, i dont undertand number 20 because i was absent in class today and i rerally need help, i will appraciate with the help, and
Mariulka [41]

Given:

The equation is,

2\log _3x-\log _3(x-2)=2

Explanation:

Simplify the equation by using logarthimic property.

\begin{gathered} 2\log _3x-\log _3(x-2)=2 \\ \log _3x^2-\log _3(x-2)=2_{}\text{      \lbrack{}log(a)-log(b) = log(a/b)\rbrack} \\ \log _3\lbrack\frac{x^2}{x-2}\rbrack=2 \end{gathered}

Simplify further.

\begin{gathered} \log _3\lbrack\frac{x^2}{x-2}\rbrack=2 \\ \frac{x^2}{x-2}=3^2 \\ x^2=9(x-2) \\ x^2-9x+18=0 \end{gathered}

Solve the quadratic equation for x.

\begin{gathered} x^2-6x-3x+18=0 \\ x(x-6)-3(x-6)=0 \\ (x-6)(x-3)=0 \end{gathered}

From the above equation (x - 6) = 0 or (x - 3) = 0.

For (x - 6) = 0,

\begin{gathered} x-6=0 \\ x=6 \end{gathered}

For (x - 3) = 0,

\begin{gathered} x-3=0 \\ x=3 \end{gathered}

The values of x from solving the equations are x = 3 and x = 6.

Substitute the values of x in the equation to check answers are valid or not.

For x = 3,

\begin{gathered} 2\log _3(3^{})-\log _3(3-2)=2 \\ 2\log _33-\log _31=2 \\ 2\cdot1-0=2 \\ 2=2 \end{gathered}

Equation satisfy for x = 3. So x = 3 is valid value of x.

For x = 6,

\begin{gathered} 2\log _36-\log _3(6-2)=2 \\ 2\log _36-\log _34=2 \\ \log _3(6^2)-\log _34=2 \\ \log _3(\frac{36}{4})=2 \\ \log _39=2 \\ \log _3(3^2)=2 \\ 2\log _33=2 \\ 2=2 \end{gathered}

Equation satifies for x = 6.

Thus values of x for equation are x = 3 and x = 6.

6 0
1 year ago
A circular racetrack has a diameter of 1/2 mile. How far does a car travel in one lap around the track? Round to the nearest ten
dlinn [17]
Given:
Circular racetrack with a diameter of 1/2 mile

Find: how far does a car travel in one lap around the track?

We need to find the circumference of the racetrack.

Circumference is multiplying pi to the diameter of the racetrack.

Circumference = 3.14 * 1/2 mile
Circumference = 3.14/2 mile
Circumference = 1.57 miles rounded to the nearest tenth is 1.60 miles.
7 0
3 years ago
What is the answer to this decimal problem 0.32÷n=0.032
11111nata11111 [884]

10 because you know that the decimal moves one to the left if you are dividing by ten and one to the right if you are multiplying by ten.

Check your work. 0.32 divided by 10 is 0.032

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