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3 years ago

What is the correct answer i have to type in the yellow boxes?

Mathematics

2 answers:

sertanlavr [38]3 years ago

7 0

Answer:

(-10)²= -10 × -10 = 100

Step-by-step explanation:

When any number is squared whether it is positive or negative, the result will always be positive:

Anything squared means the number multiplied by itself:

So:

(-10)²= -10 × -10 = 100

RoseWind [281]3 years ago

5 0

$\\ \rm\bull\rightarrowtail (-10)^2$

Mark the rule

a^2=a×a

$\\ \rm\bull\rightarrowtail -10(-10)$

$\\ \rm\bull\rightarrowtail 100$

You might be interested in

when a 3-digit number is rounded to the nearest ten and to the nearest hundred the answer is the same. what is one possible numb

balandron [24]

303 because when rounding to the nearest 10, it is 300. When rounding to the nearest 100, it is 300.

5 0

3 years ago

Kaitlyn's older brother borrowed money for school he took out a loan that charges 6% simple interest he will end up paying 720 a

Inessa [10]

Answer:

529.41

Step-by-step explanation:

From the above question, we are to find the Principal

The formula to find the Principal (Initial amount invested) is =

P = A / (1 + rt)

Where

A = Amount paid after t years. = 720

r = rate of interest = 6% = 0.06

t = time in years = 6

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:

P = 720 / ( 1 + (0.06 × 6)) = 529.41176470588

Approximately

P = 529.41

Therefore, Kaitlyn's brother borrowed 529.41 for school

8 0

3 years ago

What is the rate of change of the line on the graph

Delvig [45]

Answer:

A. ¼

Step-by-step explanation:

Rate of change (m) = $\frac{y_2 - y_1}{x_2 - x_1}$

Using two points on the line, (4, 1) and (-4, -1), find the rate of change using the formula stated above:

Where,

$(4, 1) = (x_1, y_1)$

$(-4, -1) = (x_2, y_2)$

Plug in the values

Rate of change (m) = $\frac{-1 - 1}{-4 - 4}$

= $\frac{-2}{-8}$

= $\frac{1}{4}$

Rate of change = ¼

6 0

3 years ago

What is 7 over 8k =35

RUDIKE [14]

Answer:

Step-by-step explanation:

k=40

hope it helps

mark me as brainiest

5 0

3 years ago

(15-16) Consider the Infinite Geometric Series:

vodka [1.7K]

15 Answer: S₁ = 1 S₂ = 4 S₃ = 13 S₄ = 40 Sum = NO

<u>Step-by-step explanation:</u>

1 + 3 + 9 + 27 + ... $\implies\sum^{\infty}_{n=1}3^{n-1}\implies\sum^{\infty}_{n=1}\dfrac{3^n}{3}\\\\\bullet S_1=1\\\bullet S_2=1+3=4\\\bullet S_3=1+3+9=13\\\bullet S=1+3+9+27=40\\\\\\ \lim_{n \to \infty} \dfrac{3^n}{3} \implies\dfrac{3^{\infty}}{3}\implies\infty\\\\\text{The series diverges so there is no sum.}$

16 Answer: $\bold{S_1=\dfrac{1}{2}\qquad S_2=\dfrac{2}{3}\qquad S_3=\dfrac{13}{18}\qquad S_4=\dfrac{39}{54}\qquad Sum=YES}$

<u>Step-by-step explanation:</u>

$\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{18}+\dfrac{1}{54}+\dfrac{1}{162}+...\implies \sum^{\infty}_{n=1}\dfrac{1}{2}\bigg(\dfrac{1}{3}\bigg)^{n-1}\\\\\\\bullet S_1=\dfrac{1}{2}\\\\\bullet S_2=\dfrac{1}{2}+\dfrac{1}{6}=\dfrac{2}{3}\\\\\bullet S_3=\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{18}=\dfrac{13}{18}\\\\\bullet S_4=\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{18}+\dfrac{1}{54}=\dfrac{39}{54}$

$\lim_{n \to \infty} \dfrac{1}{2}\bigg(\dfrac{1}{3}\bigg)^{n-1}\implies \dfrac{1}{2}\lim_{n \to \infty} \dfrac{1}{3^{\infty-1}}\implies \dfrac{1}{\infty}=0\\\\\\\text{The series converges so it does have a sum.}$

5 0

3 years ago