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2 years ago

5

Can someone help me with this problem?

1 answer:

Nadusha1986 [10]2 years ago

8 0

Increasing is= [0,90], [270,360]

Decreasing is=[90,270]

Concave up=[180,360]

Concave down=[0,180]

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Find the missing value 8- = -5

podryga [215]

Answer:

x = 13

Step-by-step explanation:

call the missing number x

8 - x = - 5 Subtract 8 from both sides

8-8 - x = -5-8 Combine

-x = - 13 Multiply by -1

x = 13

6 0

2 years ago

<img src="https://tex.z-dn.net/?f=4%20%5Ctimes%208%20%5E%7B2x%20%2B%201%3F%7D%20%20%3D%2032%20%5E%7Bx%20%2B%202%7D%20" id="TexFo

svet-max [94.6K]

Answer:

x = 5

Step-by-step explanation:

<u>__________________________________________________________</u>

<u>FACTS TO KNOW BEFORE SOLVING</u> :-

$a^x \times a^y = a^{x+y}$

In an equation , if the bases are same in both L.H.S. & R.H.S. then , the power of the bases on both the sides of equation should be equal. For e.g. : $a^x = a^y$ ⇒ $x = y$ [∵ Bases are equal on both the sides]

<u>__________________________________________________________</u>

$4 \times 8^{2x+1} = 32^{x+2}$

Lets express it in terms of 2.

$=> 2^2 \times 2^{3 (2x+1)} = 2^{5(x+2)}$

$=> 2^2 \times 2^{6x+3} = 2^{5x+10}$

$=> 2^{2 + 6x+3} = 2^{5x+10}$

$=> 2^{6x+5} = 2^{5x+10}$

Here the bases on both the sides are equal. Hence ,

$=> 6x + 5 = 5x + 10$

$=> 6x - 5x = 10 - 5$

$=> x = 5$

6 0

2 years ago

A sphere is inscribed in a cube with a volume of 64 cubic inches. What is the volume of the sphere? Round your answer to the nea

erma4kov [3.2K]

Answer:

the volume of the sphere is

$33.51 in^{3}$

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, sphere and cube.

Given data

Volume of cube v = 64 cubic inches

since we are dealing with a cube the height and the radius of the sphere is same as the sides of the cube,

we know that volume of cube is expressed as

$v= l*b*h$

$v=l^{3}$

$64= l^{3}$

$l= \sqrt[3]{64}$

$l= 4 in$

also diameter d=length l

Diameter d= $4in$

Radius r = $\frac{d}{2}$ = $\frac{4}{2}$ = ${2 in}$

Height h= $4in$

we know that the volume of a sphere is given by

$v= \frac{4}{3} \pi r^{3}$

substituting into the formula we have

$v= \frac{4}{3} \ *3.142*2^{3} \\v=\frac{4*3.142*8}3} \\v= \frac{100.54}{3} \\v= 33.52in^{3}$

8 0

2 years ago

The orange spinner is spun and then the aqua spinner is spun. What is the probability that the numbers will add to 4 or less?

scZoUnD [109]

Answer:

25%

Step-by-step explanation:

Hopefully this is correct!

6 0

2 years ago

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Which is the best approximation for the solution of the system of equations

miv72 [106K]

X = 0.882
y = 0.647
seems to be a good approximation of the solution.

3 0

3 years ago

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