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3 years ago

Evaluate. Round to the nearest hundredth.

Mathematics

1 answer:

KIM [24]3 years ago

3 0

Answer:

22. 6

23. 8^x

24. log2(16^5) = log2((2^4)^5) = log2(2^20) = 20

25. 2x + 1

27. log4(16^(x - 1)) = log4((4^2)^(x - 1)) = log4(4^(2x - 2)) = 2x - 2

28. 17

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Plss help meee

Alborosie

Step-by-step explanation:

Storage Space of Shed = Volume of Shed.

Volume of Shed = Volume of Rectangular level

+ Volume of Triangular roof

Volume of Rectangular Level =

Length x Width x Height

$12 \times 6 \times 8 \\ = 576 {ft}^{3}$

Volume of Triangular Roof =

Area of Triangular side x Length

$\frac{1}{2} \times base \times height \times length \\ = \frac{1}{2} \times 6 \times 4 \times 12 \\ = \frac{1}{2} \times 288 \\ = 144 {ft}^{3}$

Volume of Shed = 576 + 144

$720 {ft}^{3}$

3 0

3 years ago

Find the center and radius of the following circle. Then graph the circle.(×+4)2+y2=7

ArbitrLikvidat [17]

Given:

Equation of a circle

$(x+4)^2+y^2=7$

Required:

Find the center and radius of the circle. Then graph of circle.

Explanation:

We have a standard equation of circle

$(x-h)^2+(y-k)^2=r^2$

Whose radius is (h, k) and radius r.

We have equation of a circle

$(x+4)^2+y^2=7$

Now, we will compare with standard equation of a circle

$We\text{ will get center\lparen-4, 0\rparen and radius }\sqrt{7}.$

Graph of circle is

Answer:

Hence, this is the answer.

3 0

1 year ago

The sum of 12 and the quantity 8 times a number k is equal to 48

Rudiy27

12+8k=48
=>8k=36
=>k=36/8
=>k=4.5

6 0

3 years ago

briana house is at (1,6) and jordan house is(5,3) what is one possible path from brianna house to jordan house

Maurinko [17]

Answer:

see the explanation

Step-by-step explanation:

Let

A (1,6)------> location Brianna's house on a map

B (5,3)------> location Jordan's house on a map

we know that

One possible path from Brianna's house to Jordan's house it's a straight line ( the shortest distance)

using a graph tool

see the attached figure

<em>Find the distance points AB</em>

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

substitute the values

$d_A_B=\sqrt{(3-6)^{2}+(5-1)^{2}}$

$d_A_B=\sqrt{(-3)^{2}+(4)^{2}}$

$d_A_B=\sqrt{25}$

$d_A_B=5\ units$

The distance from Brianna's house to Jordan's house is 5 units

6 0

4 years ago

For the following system, use the second equation to make a substitution for y in the first equation. 3x + y = 2 y + 4 = 3x

expeople1 [14]

First, set the second equation with y as the isolated variable. To do this, subtract 4 from both sides to get
$y = 3x - 4$
Now that you know the value of y, put that expression in for y in the first equation to get
$3x + (3x - 4) = 2$
Then, simplify by adding the x terms together to get
$6x - 4 = 2$
add 4 on both sides to isolate the x terms to get
$6x = 6$

then divide 6 from both sides to get
$x = 1$
Using that x value, plug it into one of the equations as x to find y ( I will use y=3x-4)
$y = 3(1) - 4 = 3 - 4 = - 1$
x=1 and y=-1 is the answer

5 0

3 years ago