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3 years ago

Simplify the expression using positive exponents: x^7/x^3

Mathematics

2 answers:

poizon [28]3 years ago

6 0

Answer:

x power of 4

Step-by-step explanation:

Nikolay [14]3 years ago

3 0

Answer:

x power of 4

Step-by-step explanation:

Subtract 7 by 3

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Bella is working on the world record for longest beaded necklace. She has 10,000 glass beads that have a diameter of 0.4 cm. If

lozanna [386]

Answer:

The necklace will be 4,000 cm long

Step-by-step explanation:

Here we want to calculate the length of the necklace

Mathematically, that would just be the product of the beads and the diameter of each bead

Hence, we have

10,000 * 0.4 = 4,000 cm

5 0

3 years ago

The gum you like to buy is on sale. it is regularly priced at 1.59

zubka84 [21]

What is the question? I'd love to help.

5 0

3 years ago

Calculate s26 for the arithmetic sequence in which a14=4.1 and the common difference is d=1.7

sweet-ann [11.9K]

Answer:

The value of $s_{26}=84.5$

Step-by-step explanation:

We have given $a_{14}=4.1$

d=1.7

We have to find $s_{26}$

So, $a_{14}=a+13d$ from the formula

$a_n=a+(n-1)d$

When n=14

$a_{14}=a+(14-1)(1.7)=a+13(1.7)$

$4.1=a+22.1$

$-18=a$

$a=-18$

Using the formula:

$s_n=\frac{n}{2}[2a+(n-1)d$

When n=26

$s_{26}=\frac{26}{2}[2(-18)+(26-1)(1.7)]$

On simplification we get:

$s_{26}=84.5$

8 0

3 years ago

Please help w/ composition of functions. I did 3√14-(-11) -8 and got 7 as my answer and would appreciate verification that it's

dangina [55]

SOLUTION

We were given

$\begin{gathered} f(c)=3c-8\text{ and } \\ g(c)=\sqrt[]{14-c} \\ We\text{ want to find } \\ (fog)(-11) \end{gathered}$

First we will find

$\begin{gathered} f(g(c)\text{ we have } \\ f(g(c)=3(\sqrt[]{14-c})-8 \end{gathered}$

Now

$\begin{gathered} (fog)(-11)\text{ becomes } \\ (fog)=3(\sqrt[]{14-c})-8 \\ (fog)(-11)=3(\sqrt[]{14-(-11})-8 \\ =3\sqrt[]{14+11}-8 \\ =3\sqrt[]{25}-8 \\ (3\times5)-8 \\ =15-8 \\ =7 \end{gathered}$

Hence, the answer is 7

7 0

1 year ago

Please help me with this two questions

Annette [7]

Answer:

a.) 10 months

b.) Kool Karate

c.) Karate Klub

Step-by-step explanation:

Karate Klub : y=25x+200

Kool Karate : y=35x+100

A.) First, set the equations equal to each other then solve for x. $A.) 25x+200=35x+100\\\\$

take away 100 from both sides

$25x+100=35x$

take away 25x from both sides

$100=10x$

divide 10 from both sides so x can be by itself and equal to 1

$10=x$

This means that at 10 months, the cost is the same for both.

B.) Substitute 6 for x in both equations

Karate Klub : $y=25(6)+200\\y=350$

Kool Karate : $y=35(6)+100\\y=310$

The cost for Kool Karate is cheaper, so that is what he should join.

C.) Substitute 12 for x in both equations.

x=12 because there are 12 months in a year.

Karate Klub: $y= 25(12)+200\\y=500$

Kool Karate: $y=35(12)+100\\y=520$

The cost for Karate Klub is cheaper, so that is what he should join.

7 0

2 years ago