All categories

3 years ago

What expression is equivalent to 4^7 times 4^-5

Mathematics

1 answer:

liubo4ka [24]3 years ago

6 0

All you have to do is add exponents when multiplying like monomials. So it's just 4^2

You might be interested in

Question 8.am I correct I got B

Lyrx [107]

According to the options given yes

4 0

3 years ago

Question 4

Elanso [62]

Answer:

a $A = 30 + 0.45 n$

b $A = 90.3$

c 0 customers

Step-by-step explanation:

Given

$Base\ Amount = 30$

$Rate = 0.45$ per customer

Solving (a): Amount (A) on n customers

This is calculated as:

$A = Base\ Amount + Rate * n$

$A = 30 + 0.45 * n$

$A = 30 + 0.45 n$

Solving (b): Amount on 134 customers

In this case: n = 134

So:

$A = 30 + 0.45 * 134$

$A = 30 + 60.3$

$A = 90.3$

Solving (c): Customers at noon.

At noon, the amount is 30.

So:

$A = 30 + 0.45 n$

$30 = 30 + 0.45n$

Collect like terms

$0.45n = 30 - 30$

$0.45n =0$

$n = 0$

6 0

3 years ago

Sara plotted the locations of the trees in a park on a coordinate grid. She plotted an oak tree which was in the middle of the p

padilas [110]

Answer: $10.2\ yards$

Step-by-step explanation:

<h3> "Sara plotted the locations of the trees in a park on a coordinate grid. She plotted an oak tree, which was in the middle of the park, at the origin. She plotted a maple tree, which was 10 yards away from the oak tree, at the point (10,0) . Then she plotted a pine tree at the point (-2.4, 5) and an apple tree at the point (7.8, 5) What is the distance, in yards, between the pine tree and the apple tree in the</h3><h3>park?"</h3>

For this exercise you need to use the following formula, which can be used for calculate the distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

In this case, you need to find distance, in yards, between the pine tree and the apple tree in the park.

You know that pine tree is located at the point (-2.4, 5) and the apple tree is located at the point (7.8, 5).

So, you can say that:

$x_2=-2.4\\x_1=7.8\\\\y_2=5\\y_1=5$

Knowing these values, you can substitute them into the formula and then evaluate, in order to find the distance, in yards, between the pine tree and the apple tree in the park.

This is:

$d=\sqrt{(-2.4-7.8)^2+(5-5)^2}=10.2\ yards$

8 0

3 years ago

in an ordered pair,the x-coordinate represents the number of hexagons and the y-coordinate represents the total number of sides.

AysviL [449]

The y-coordinate is 42.

Hexagons have 6 sides. Since the x-coordinate is 7, there are 7 hexagons. 7 hexagons * 6 sides each = 42 sides for the y-coordinate.

4 0

3 years ago

An arithmetic sequence with a third term of 8 and constant difference of 5

Gelneren [198K]

-2,3,8,13,18,23,28,32

6 0

3 years ago