Megan has 25 phone numbers stored in her cell phone. Abby has some phone numbers stored in her cell phone. Together they have a total of 61 phone numbers stored. If n = the number of phone numbers Abby has stored in her cell phone, write a mathematical sentence to express the information above.

Answers

Answer 1

Answer:

Answer:

$25+n =61$

Step-by-step explanation:

Given that Megan has 25 phone numbers stored in her cell phone. Abby has some phone numbers stored in her cell phone. Together they have a total of 61 phone numbers stored.

If n= the number of phone numbers Abby has stored in her cell phone

then we have sum of phone numbers both have

$25+n =61$

$n=61-25=36$

Answer 2

Answer: 25 + n = 61
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A box of dried fruit has 60 calories in 5 servings. How many calories are there per serving?

Answers

There are 12 calories per serving. This can be known if you divide 60 by 5

I think 12 calories

Can someone tell me if I did this right? Given b = 12, c = 15 and A = 60° in triangle ABC, use the Law of Cosines to solve for a. Fill in the blank(s) to complete each step. If applicable, be sure to enter all decimal numbers with a zero in the ones place. Round your final answer to the nearest hundredth.

Answers

Answer:

a=13.74 units

Step-by-step explanation:

Given are two sides and angle of a triangle ABC

use cosine formula for triangles

$a^2=b^2+c^2-2bccosA\n=144+225-360(0.5)\n=369-180\n=189$

Now we got the square of the third side

Take square root and round off to two decimals to get exact value of a

a =13.74 units

Note: In a triangle, if 3 independent dimensions are known we can find out all missing sides and angles using sine formula or cosine formula

a^2= b^2+c^2 - 2bc.cosA

a^2= (12)^2 + (15)^2 - 2 x 12 x 15 cos60

a^2= 144+225 - 2 x 12 x 15 x 0.5

a^2 = 369 - 180

a^2= 189
now take the square root of both sides.. :)

so a = 13.74 :)

8. If f(x) = 5x - 8, what is the value of f(3)?

Answers

Answer: f(3) = 7

Step-by-step explanation:

f(3) = 5(3) - 8

15 - 8

f(3) = 7

Hey there!☺

$Answer:\boxed{f(3)=7}$

$Explanation:$

What is the value of $f(3)$ when $f(x) = 5x - 8$ ?

If you want to find to find the value of $f(3)$ , you will have to substitute the value in the function. And at last, you will evaluate. After you evaluate, you will get the answer.

$f(3)=7$

Hope this helps!

Raise the following number to the indicated power.
(-4)2 =

Answers

If it’s -4 to the power of 2
(-4)(-4)
=16
(Positive sixteen)

Answer:

Step-by-step explanation:

state the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation

Answers

Answer:

domain (-∞, ∞)
range (-∞, 4]
increasing (-∞, 0)
decreasing (0, ∞)
constant (only at x=0, not on any interval)

Step-by-step explanation:

The graph is of the equation y = -x^2 +4. It is a polynomial of even degree, so has a domain of all real numbers: (-∞, ∞).

The vertical extent of the graph includes y=4 and all numbers less than that:

range: (-∞, 4]

The graph is increasing to the left of its vertex at x=0, decreasing to the right.

increasing (-∞, 0); decreasing (0, ∞)

There is no interval on which the function is constant. It has a horizontal tangent at x=0, but a single point does not constitute an interval.

Final answer:

The domain of a function refers to all possible inputs while the range comprises all potential outputs. The function increases, decreases, or remains constant when the respective slope is positive, negative, or zero. I've provided an explanation based on the indication of the respective slopes described in your problem.

Explanation:

To determine the domain, range, and intervals of increase, decrease, or constant for a function, we need to examine the specific input and output values as well as the curvature of the function.

Domain of a function refers to all possible input values (x-values). For example, in the probability distribution function (PDF), the domain may include all numerical values or could be expressed through a non-numerical set such as different hair colors. From the provided information, I can deduce that the domain of X is {English, Mathematics, ...} - a list of all majors offered at the university, indicating all the possible inputs of this function. The domain of Y and Z are numerical, from zero up to an upper limit.

Range of a function is all the potential output values (y-values). The range is usually derived from the domain values after undergoing certain transformations via the function. Unfortunately, without further specifics about the function, I can't provide a conclusive range.

For intervals of increase, decrease, or constant, you look at the slope of the function. A function is increasing on an interval if the y-value increases as the x-value increases. Contrary to this, a function is decreasing on an interval if the y-value decreases as the x-value increases. If the y-value remains constant as the x-value varies, the function is constant on that interval. Different parts of your provided solutions indicate the function starts with positive slope (increasing), then levels off (becomes constant).

Learn more about Function Analysis here:

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Combs and Stratton invested $140,000 and $360,000, respectively, in a partnership. They agreed to share net income in proportion to their investments. If the partnership's net income last year was $43,500, how much was each partners share of the net income?