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Novay_Z [31]
3 years ago
10

HELP ME WITH THIS 60 POINTS,5-STAR RATING, AN THANKS AND MARKED AS BRANLIEST.

Mathematics
1 answer:
Greeley [361]3 years ago
8 0

Answer:

1. C.

2. B.

3. Add 6.1 to both sides

Step-by-step explanation:

1. Your equation here is "w + 2 < -1"

You must get w by itself, so to do that, subtract 2 from both sides.

w + 2 < -1

w < -3

Notice that the symbol is "w is less than -3" not "w is less than or equal to -3," so our plot must have a closed circle (or no open circle).

The larger the number behind the negative sign, the smaller it is.

ex: -3 is smaller than -1

So, the answer is C.

2. Here, you have the inequality -15 > q - 5

To find out which number set best fits the inequality, substitute the numbers in for the q value.

[I'll skip to answer B.]

B.'s number set is {-11, -12, -14}

So, plug in each value for q

For -11:

-15 > (-11) - 5

-15 > -16

This works.

(As I mentioned earlier, the larger the number in front of the negative, the smaller it is.)

For -12:

-15 > (-12) - 5

-15 > -17

This works as well

For -14:

-15 > (-14) - 5

-15 > -19

This works too

Thus, the answer is B.

3. And finally, you have the equation p - 6.1 = 10

To solve for p, make sure its alone on one side of the equation.

To do this, add 6.1 to both sides.

This is the first (and pretty much only) step to solve this equation

I hope this helps!!! :)

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3 years ago
Find the sum of a finite geometric sequence from n = 1 to n = 7, using the expression −4(6)n − 1.
Verizon [17]

Answer:

<h2>-223,948</h2>

Step-by-step explanation:

The formula of a sum of terms of a gometric sequence:

S_n=a_1\cdot\dfrac{1-r^n}{1-r}

a₁ - first term

r - common ratio

We have

a_n=-4(6)^{n-1}

Calculate a₁. Put n = 1:

a_1=-4(6)^{1-1}=-4(6)^0=-4(1)=-4

Calculate the common ratio:

r=\dfrac{a_{n+1}}{a_n}\\\\a_{n+1}=-4(6)^{n+1-1}=-4(6)^n\\\\r=\dfrac{-4(6)^n}{-4(6)^{n-1}}=6^n:6^{n-1}\\\\\text{use}\ a^n:a^m=a^{n-m}\\\\r=6^{n-(n-1)}=6^{n-n+1}=6^1=6

\text{Substitute}\ a_1=-4,\ n=7,\ r=6:\\\\S_7=-4\cdot\dfrac{1-6^7}{1-6}=-4\cdot\dfrac{1-279936}{-5}=-4\cdot\dfrac{-279935}{-5}=(-4)(55987)\\\\S_7=-223948

7 0
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Arturiano [62]
X>32 is the answer.
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Find the equation of the line that passes through (3,1) and is parallel to y = 3 − 2 x . Leave your answer in the form y = m x +
Misha Larkins [42]

Answer:

y=3-2x

Step-by-step explanation:

Parallel to y = 3 − 2 x => y=c-2x

Through (3,1) => 1=c-2(1) <=> c=3

Line is y=3-2x

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Find the amount of ice cream in a cone if the radius of the cone is 5 cm and its height is 8 cm. The ice cream fully fills the c
Vlad1618 [11]

Answer:

471 cm³

Step-by-step explanation:

Volume = cone + hemisphere

= [⅓×pi×r²×h] + [⅔×pi×r³]

= ⅓pi×r²[h + 2r]

= ⅓×3.14×5²[8 + 2(5)]

= (157/6)(18)

= 471

This is using pi as 3.14

A slightly different value of pi will alter the final answer

7 0
3 years ago
Read 2 more answers
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