....how do you solve this? 5 √6 ( 4 - √10 )

Answer:

I think the answer wold be -5/3 or -1.666666667 .

The value of the given expression is,

[tex]log_8 \frac{1}{32}[/tex] = -3/5

The given logarithmic expression is,

[tex]log_8 \frac{1}{32}[/tex]

Since we know that,

The power to which a number must be increased in order to obtain additional values is referred to as a logarithm. The easiest approach to expressing enormous numbers is this manner. Numerous significant characteristics of a logarithm demonstrate that addition and subtraction logarithms may also be represented as multiplication and division of logarithms.

We can write the given expression as,

[tex]log_8 \frac{1}{32}[/tex] =   [tex]log_8 32^{-1[/tex]

          = - [tex]log_8 32[/tex]                  [ [tex]log_a b^x = x log_a b[/tex]]

          = - [tex]log_{2^3} 2^5[/tex]

          =  - [tex]\frac{3}{5} log_{2} 2[/tex]                 [ [tex]log_{a^y} b^x = \frac{x}{y} log_a b[/tex]]

          = -3/5                       [  [tex]log_{a} a = 1[/tex]]

Hence,

[tex]log_8 \frac{1}{32}[/tex] = -3/5

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Answer:

379.5

Step-by-step explanation:

A prism is a three-dimensional shape where there are two identical bases and rectangular or parallelogram faces.

The lateral surface area of a triangular prism is given as:

= (add all three side lengths) x height of the prism

The lateral surface area of a triangular prism in square meters is

379.5 square meters.

A prism is a three-dimensional shape where there are two identical bases and rectangular or parallelogram faces.

We have,

Triangular prism:

The side lengths of the base of a triangular prism are 5 meters, 8 meters, and 10 meters.

The height of the prism is 16.5 meters.

The lateral surface area of a triangular prism is given as:

= (add all three side lengths) x height of the prism

= (5 + 8 + 10) x 16.5

= 23 x 16.5

= 379.5 square meters.

Thus,

The lateral surface area of a triangular prism in square meters is 379.5 square meters.

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Answer:

B. y=2x+5

Step-by-step explanation:

web you do rise/run, is 4/2 when you simplify that is 2/1 which is 2, y=2x. In the graph the red l8nes goes exactly through 5, which is positive. y=2x+5. I hope you could understand that.

Use the midpoint formula,

[tex]\left( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2} \right)[/tex]

where x₁ = -3, x₂ = 4, y₁ = -5, and y₂ = 4.

[tex]\left( \dfrac{x_1+x_2}{2} , \dfrac{y_1+y_2}{2} \right) \implies \left( \dfrac{-3+4}{2} , \dfrac{-5+4}{2} \right) = \left(0.5, -0.5\right).[/tex]

So, the midpoint of A and B is (0.5, -0.5). It should be in the first quadrant.

Answer:Assuming a 3-inch diameter, pillar candles of 3, 4 and 6 inches in height will burn for 45, 60 and 75 hours, respectively. Three-inch Party Lite pillar candles will burn 30-35 hours; 5-inch, 65 to 70 hours; and 7-inch, 90 to 95 hours. The three-wick 6-by-5-inch candles burn for more than 100 hours.

Step-by-step explanation:

Answer:

x=11

Step-by-step explanation:

given -2 + 4x = 6(x-4) the objective is to get the variable (x) on one side and the constant on the other using inverse operations

-2 + 4x = 6(x-4)

step 1 distribute the 6 to x and -4

6*x=6x

6*-4=-24

now we have

-2 + 4x = 6x - 24

step 2 add 24 to each side

-2+24=22

-24+24 cancels out

now we have 22+4x=6x

now we want to get rid of the 4x

to do so we subtract 4x from each side

4x-4x cancels out

6x-4x=2x

now we have

2x = 22

step 4 divide each side by 2

22/2=11

2x/2=x

we're left with x = 11

544500 ......... is the answer

Answer:

The area of the rectangle is 544, 500 cm^2 or 54.45 m^2. (It depends on the requested unit—in cm squared or meters squared.)

Step-by-step explanation:

Area of a rectangle = length * width

A = 990 cm * 550 cm

A = 544, 500 cm^2

A = 54.45 m^2

Hope this helps; have a wonderful day!

Answer:

x=98

Step-by-step explanation:

(x-36)+(x+20)=180  <--- that's how you would set it up.

Answer:

$11.00

Step-by-step explanation:

Since 92 texts cost her 9.20, each text cost her 10 cents. 110*10 =1100

Answer:

Step-by-step explanation:

Given

5.8 ( x - 11.8) = 0

5.8x - 68.44 = 0

5.8x = 68.44

x = 68.44 / 5.8

x = 11.8

Hope it helps :)

Answer:

To find

[tex] = > [/tex]

The value of x. in the Equation =>5.8(x -11.8) = 0

Step-by-step explanation:

[tex]5.8(x - 11.8) \\ = > 5.8x - 68.44 = 0 \\ = > 5.8x =0 + 64.44 \\ = > 5.8x = 64.44 \\ = > x = 64.44 \div 5.8 \\ = > 11.8[/tex]

Hence,

Answer:

Parallelogram and Rhombus

These two quadrilaterals describe the figure

Answer:

35

Step-by-step explanation:

I believe the answer is 35.

If I am incorrect please correct me but this is what I got. Also, you never told me if it's in simplified form or in any form it should be in. Hope this somewhat helped and have a good one!

Answer:

C

Step-by-step explanation:

Look at the graph when y=5. It is a straight line that goes through 0,5 horizontally.

it crosses the y-axis at (0,5) only.

Answer:

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

given 9x-12=3x we want to solve for x

To do so we need to isolate the variable using inverse operations

to get rid of the 9x we subtract each side by 9x

9x - 9x  cancels out

3x - 9x =-6x

now we have

-12=-6x

now we want to get rid of the -6

to do so we divide each side by -6

-6x/-6=x

-12/-6=2

we're left with x=2

Answer:

9x=3x+12

9x-3x=12

9x-3x=12

6x=12

x=2

solution

x=2

Answer:

B. 196 units squared

Step-by-step explanation:

The formula of a prism is V = Bh

= (1/2 bh) h

=(1/2 x 7 x 14) x 4

= (3.5 x 14) x 4

=49 x 4

= 196 units squared

I haven't did these type of questions in a while, but i think my answer is correct. Hope it helps :)

Complete Question

At a soccer tournament 12 teams are wearing red shirts, 6 teams are wearing blue shirts, 4 teams are wearing orange shirts, and 2 teams are wearing white shirts. For every 2 teams at the tournament, there is 1 team wearing ____

Answer:

For every 2 teams at the tournament, there is 1 team wearing RED SHIRTS

Step-by-step explanation:

Step 1

We add all the teams together

Red + Blue + Orange + White

12 + 6 + 4 + 2

= 24 teams

Step 2

We have 12 red teams.

If we find the ratio of red team to total number of teams

= 12 :24

= 1:2

Therefore, for every 2 teams at the tournament, there is 1 team wearing RED SHIRTS

Answer:

16÷3×4

Step-by-step explanation:

Answer:

4 smoothies.

Step-by-step explanation:

We divide 1/3 into 1 5/8  ( which is 13/8).

= 13/8 / 1/3

=  13/8 * 3

= 39/8

= 4 7/8

Maximum number = 4.

Answer:

Step-by-step explanation:

Hi

Answer: v = (6)(12)

Step-by-step explanation:

Answer:

you have to add the graph.

Answer:

wheres the graph

Step-by-step explanation:

Answer:

That a sloth will walk 12 feet in 2 minutes

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer: you are able to buy 4 cupcakes

Step-by-step explanation:

Answer:

Square root of 8, 10, and 15

Step-by-step explanation:

Answer:

y = -4 - 1/3x

Step-by-step explanation:

x + 3y = -12

-x              -x

3y = -12 - x

divide all by 3, to isolate the y

y = -4 - 1/3x

The Answer:

4y^3+6y^2−17