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RUDIKE [14]
2 years ago
12

Which inequalities are equivalent to r + 45 < 16? Check all that apply.

Mathematics
2 answers:
aleksandr82 [10.1K]2 years ago
6 0

Answer:

the last option hope this helps

Step-by-step explanation:

Olin [163]2 years ago
3 0

Answer:

+ 45 - 45 < 16 - 45 is answer

Step-by-step explanation:

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PLEASE HELP if Suzy can drive 4/5 miles in a half hour how many miles can she drive in 1 hour FOR A TEST PLEASE ANSWER
kati45 [8]
Since you are trying to figure out how many miles she can drive in 1 hour and you already have half of that hour, all you would need to do is double that number. 
\frac{4}{5} × \frac{2}{1}= \frac{8}{5}

Now, all you would need to do is simplify the answer.
\frac{8}{5} = 1 \frac{3}{5} or 1.6

The answer would be, Suzy can drive 1 \frac{3}{5} or 1.6 miles in 1 hour. 

I hope this helps!
5 0
3 years ago
Hi guys, can anyone help me with this triple integral? Many thanks:)
Crank

Another triple integral.  We're integrating over the interior of the sphere

x^2+y^2+z^2=2^2

Let's do the outer integral over z.   z stays within the sphere so it goes from -2 to 2.

For the middle integral we have

y^2=4-x^2-z^2

x is the inner integral so at this point we conservatively say its zero.  That means y goes from -\sqrt{4-z^2} and +\sqrt{4-z^2}

Similarly the inner integral x goes between \pm-\sqrt{4-y^2-z^2}

So we rewrite the integral

\displaystyle \int_{-2}^{2} \int_{-\sqrt{4-z^2}}^{\sqrt{4-z^2}} \int_{-\sqrt{4-y^2-z^2}}^{\sqrt{4-y^2-z^2}} (x^2+xy+y^2)dx \; dy \; dz

Let's work on the inner one,

\displaystyle\int_{-\sqrt{4-y^2-z^2}}^{\sqrt{4-y^2-z^2}} (x^2+xy+y^2)dz

There's no z in the integrand, so we treat it as a constant.

=(x^2+xy+y^2)z \bigg|_{z=-\sqrt{4-y^2-z^2}}^{z=\sqrt{4-y^2-z^2}}

So the middle integral is

\displaystyle\int_{-\sqrt{4-z^2}}^{\sqrt{4-z^2}}2(x^2+xy+y^2)\sqrt{4-y^2-z^2} \ dy  

I gotta go so I'll stop here, sorry.

7 0
3 years ago
Read 2 more answers
Express your answer as a polynomial in standard form
Bingel [31]

Answer:

f(g(x)) = 4x² + 16x + 13

Step-by-step explanation:

Given the composition of functions f(g(x)), for which f(x) = 4x + 5, and g(x) = x² + 4x + 2.

<h3><u>Definitions:</u></h3>
  • The <u>polynomial in standard form</u> has terms that are arranged by <em>descending</em> order of degree.
  • In the <u>composition of function</u><em> f  </em>with function <em>g</em><em>, </em>which is alternatively expressed as <em>f  </em>° <em>g,</em> is defined as (<em>f </em> ° <em>g</em>)(x) = f(g(x)).

In evaluating composition of functions, the first step is to evaluate the inner function, g(x). Then, we must use the derived value from g(x) as an input into f(x).

<h3><u>Solution:</u></h3>

Since we are not provided with any input values to evaluate the given composition of functions, we can express the given functions as follows:

f(x) = 4x + 5

g(x) = x² + 4x + 2

f(g(x)) = 4(x² + 4x + 2)  + 5

Next, distribute 4 into the parenthesis:

f(g(x)) = 4x² + 16x + 8  + 5

Combine constants:

f(g(x)) = 4x² + 16x + 13

Therefore, f(g(x)) as a polynomial in <em>x</em> that is written in standard form is: 4x² + 16x + 13.

8 0
2 years ago
Type the correct answer In each box. If neessary, use / for the fraction bar(s). If a = 0.6 and b=0.75, then a b = and a/b=​
lubasha [3.4K]

Answer:

Socratic app

Step-by-step explanation:

it will help you

5 0
2 years ago
Simplify the following question -1/3 + -3/8
gregori [183]

Answer:

-1/3 + -3/8 = -17/24

6 0
3 years ago
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