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3 years ago

If f(x) = x² + 7, what is the value of f(4)?

Mathematics

1 answer:

quester [9]3 years ago

5 0

Answer:

The value of f(4) is 23

Step-by-step explanation:

f(x) = x² + 7

1) Plug in x as 4.

f(4) = 4² + 7

2) Simplify 4² to 16.

f(4) = 16 + 7

3) Simplify.

resulting in ......

The value of f(4)is 23

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Determine the Y intercept PLEASE HELP!! X Y -3 -3 0 -1 3 1

BartSMP [9]

You are adding two each time

4 0

3 years ago

Roger completed a probability experiment with a coin. He flipped the coin 32 times, and it landed on tails eight times. He looke

pav-90 [236]

1 to 3

Since you know that he landed on tails 8 out of 32 times, he must have flipped heads for the flips he did not flip tails. So, subtract 32 minus 8, which equals 24, and your answer is 8 to 24. Simplify this like you would with a fraction; the greatest common factor is 8 so divide the "numerator" and the "denominator" by 8. Therefore your final answer is 1 to 3.

8 0

3 years ago

Read 2 more answers

Kali invests $3516 in a savings account with a fixed annual interest rate of 7% compounded 3 times per year. What will the accou

ZanzabumX [31]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$3516\\
r=rate\to 7\%\to \frac{7}{100}\to &0.07\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{well, is just three}
\end{array}\to &3\\
t=years\to &7
\end{cases}
\\\\\\
A=3516\left(1+\frac{0.07}{3}\right)^{3\cdot 7}\implies A=3516\left( \frac{307}{300} \right)^{21}\implies A\approx 5707.0070$

7 0

3 years ago

Researchers have discovered a new genetic marker for a form of cancer. Twelve percent of the overall population carry this marke

In-s [12.5K]

Answer:

The probability that a person with the marker develops cancer is 0.0725.

Step-by-step explanation:

Let's denote the events as follows:

A = a person has cancer

B = a person carries the marker.

Given:

P (A) = 0.03

P (B) = 0.12

P (B|A) = 0.29

The conditional probability of an event X provided that another event Y has already occurred is:

$P(X|Y)=\frac{P(Y|X)P(X)}{P(Y)}$

Use the conditional probability formula to compute the probability that a person with the marker develops cancer.

$P(A|B)=\frac{P(B|A)P(A)}{P(B)} =\frac{0.29\times0.03}{0.12}=0.0725$

Thus, the probability that a person with the marker develops cancer is 0.0725.

3 0

3 years ago

An apple grower finds that if she plants 40 trees per acre, each tree will yield 150 bushels of apples. She also estimates that

kozerog [31]

Answer:

41 trees per acre

Step-by-step explanation:

For each tree per acre

Yield = 150 bushels of Apple

: Each tree tree will have :

150/40 = 3.75 bushels of Apple

Now;

For an additional tree(= 41 trees)

We would normally have for an acre to be

( 150/40) × 41 = 153.75 bushels of apples

But since in this case, there is a decrease of three bushel, we have

For the 41 trees per acre to be

153.75 - 3 = 150.75

Hence,

For each tree, we would have:

150.73 / 41 = 3.677 bushels of Apple

Conclusion:

40 trees yields 150 bushels of Apple per acre

41 yields 150.75 bushels of Apple per acre

6 0

3 years ago