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lawyer [7]
3 years ago
5

Answer with Explanation please! Thank you!

Mathematics
2 answers:
Anna [14]3 years ago
6 0

Answer:

The answer is D.

Step-by-step explanation:

First you have to get rid of brackets by expanding :

3 {q}^{2}  +  {r}^{3}  + 5r - 8q + 2( {q}^{2}  + r)

= 3 {q}^{2}  +  {r}^{3}  + 5r - 8q + 2 {q}^{2}  + 2r

Next you have to simplify by collecting like terms :

{r}^{3} +  3 {q}^{2}  + 2 {q}^{2}  + 5r + 2r - 8q

=  {r}^{3}  + 5 {q}^{2}  - 8q + 7r

Nutka1998 [239]3 years ago
4 0
Step by step explaination

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Please help this is due in tommorow! I will mark you as brainliest!
pshichka [43]

Answer:

325.26

Step-by-step explanation:

that's the answer because you have to multiply the top

I have question do we have to do something to the bottom?

5 0
3 years ago
The amount of interest earned every year with simple interest is constant. <br>true or false​
Charra [1.4K]

Answer:

True.

Step-by-step explanation:

If I = prt, They are all being multiplied together, therefor being constant.

4 0
2 years ago
In a geometric sequence, if a3 = ‒5 and a6 = 40, determine a1, r, and an. Then write the first three terms of the sequence.
Tresset [83]
a_4=ra_3
a_5=ra_4=r^2a_3
a_6=ra_5=r^3a_3

40=-5r^3\implies r^3=-8\implies r=-2

a_3=ra_2=r^2a_1

-5=(-2)^2a_1\implies a_1=-\dfrac54

You know the first and third terms, a_1 and a_3, so you just need to find the second term a_2:

a_2=ra_1\implies a_2=-2\left(-\dfrac54\right)=\dfrac52
7 0
3 years ago
Please help ٩(๑òωó๑)۶​
otez555 [7]

Answer:

Height of the cliff = 13.66 m

Step-by-step explanation:

Let the height of the cliff is 'x' m and distance between the base of the cliff and the boat is 'y' m.

From right triangle AOC,

tan 30° = \frac{\text{Opposite triangle}}{\text{Adjacent side}}

\frac{1}{\sqrt{3}}=\frac{x}{y}

y = x\sqrt{3} ------(1)

From right angle triangle BOC,

tan 45° = \frac{x}{y-10}

1=\frac{x}{y-10}

x = y - 10

y = x + 10 -------(2)

From equations (1) and (2),

x\sqrt{3}=x+10

x(\sqrt{3}-1)=10

x=\frac{10}{\sqrt{3}-1 }

x = 13.66 m

Therefore, height of the cliff is 13.66 m.

7 0
3 years ago
This figure was broken into a triangle and a rectangle as shown.
ehidna [41]

Answer: b=8in

Step-by-step explanation:

The base of the triangle is 8in because, as the shape has been split into 2 shapes, the base of the triangle is the same as the length of the rectangle.

Hope this helps :)

6 0
3 years ago
Read 2 more answers
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