1/2 = 1/3 − |x−3/6 +x|

ANTONII [103]

A function does not have an "answer." In this case you are asked to simplify the given function as much as possible, not to "answer" it.

If f(x) = 2[sqrt(x)] + 1

the only possible simplification is to omit the brackets [ ]:

f(x) = 2sqrt(x) + 1. END

6 0

3 years ago

For thanksgiving, you made 32 cupcakes. How many cupcakes were leftover if your family ate 3/4 of them?

Anvisha [2.4K]

All you need to do is divide 32 by 4.

32/4= 8

So, 3*8= 24 (that is 3/4 of the cupcakes)

32-24= 8

8 is the answer.

I hope this helps!

Brainliest answer is always appreciated!

4 0

3 years ago

Read 2 more answers

What is an exponent? Because i am confused

ollegr [7]

An exponent is a number written above and to the right side of a value or number in math. The value or number is called the base, and the expression is read out as;

"Base raised to the power of exponent."

An example is given below;

$10^3$

In this example, 10 is the base and 3 is the EXPONENT.

The expression is now read out as,

"10 raised to the power of 3"

Note that even unknown values (such x as we commonly use in math) can also be an exponent or base. For example, we can have;

$\begin{gathered} 10^x \\ OR \\ 2x^3 \end{gathered}$

So basically, an exponent indicates the number of times a number is used to multiply itself.

8 0

2 years ago

A geometric sequence is shown on the graph below. What is the formula for the nth term of the sequence?

larisa [96]

Answer:

$\boxed{u_n=40*(\frac{1}{2} )^{n-1})}\\$

Step-by-step explanation:

$u_1=40\\\\u_2=20=u_1*(\frac{1}{2} )^{2-1}\\\\u_3=10=u_1*(\frac{1}{2} )^{3-1}\\\\u_4=5=u_1*(\frac{1}{2} )^{4-1}\\\\u_5=2.5=u_1*(\frac{1}{2} )^{5-1}\\\\\\\boxed{u_n=40*(\frac{1}{2} )^{n-1})}\\$

4 0

3 years ago

A psychology professor assigns letter grades on a test according to the following scheme. A: Top 7% of scores B: Scores below th

NISA [10]

Answer:

The minimum score required for an A grade is 89.8.

Step-by-step explanation:

We are given that a psychology professor assigns letter grades on a test according to the following scheme. A : Top 7% of scores. B : Scores below the top 7% and above the bottom 64%. C : Scores below the top 36% and above the bottom 25%. D : Scores below the top 75% and above the bottom 6%. F : Bottom 6% of scores.

Scores on the test are normally distributed with a mean of 78.4 and a standard deviation of 7.6.

Let X = Scores on the test

SO, X ~ Normal( $\mu=78.4,\sigma^{2} =7.6^{2}$ )

The z-score probability distribution for normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean time = 78.4

$\sigma$ = standard deviation = 7.6

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, the minimum score required for an A grade so that it represents Top 7% of scores is given by;

P(X $\geq$ x) = 0.07 {where x is the required minimum score