Which statistical question does the data in Table 3 answer?

Answer: The answer is 4.

log5 (625) can be interpreted as, "5to what power is equal to 625?

"Since 54=625,log5(625)=4

The value of the logarithm of 625 to base 5, log₅(625), obtained from the definition of logarithms is 4

The logarithm function logₐ(x) is the inverse of the exponential function, bˣ, which indicates that where, y = logₐ(x), then [tex]a^y[/tex] = x. Therefore, the logarithm function gives the power to which the base a must be raised to produce x.

With regards to log₅(625), the power to which the base, 5, should raised to produce 625 is required.

Whereby 5⁴ = 625, it can be concluded that log₅(625) = 4

Therefore, the value of log₅(625) is 4

Learn more on the logarithm of a number here: https://brainly.com/question/28845183

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Answer:

It’s graph D

Step-by-step explanation:

I clicked B got it wrong and showed D as answer on edg

Answer:

i say C

Step-by-step explanation:

pi is 3.14 so you have to find either 3.13 or 3.15

Answer:

volume of empty space is 1307.245in

Step-by-step explanation:

I'm pretty sure this is right because I found the volume of the cube which came out to be 2744 and the volume of the sphere which came out to 1436.755 and subtracted them.

Answer:A  

+9

Step-by-step explan                                                                                    ation:

2020

Answer:

(-6, -5).

Step-by-step explanation:

If there is a zero between the integers there will be a change of sign of f(x).

x^3 + 5x^2 - x - 6

f(1) = 1 + 5 - 1 - 6 = -1

f(-1) = -1 + 5 + 1 - 6 = -1

f(2) = 8 + 20 - 2  -6 = 20

There' a change of sign between f(1) and f(2) so there is a zero between (1, 2).

f(-2) = -8 + 20 + 2 - 6= 6

So there is also a zero between -1 and -2. (-2, -1)

F(-4) = 14,  f(-5) = -1  = change of sign so there is also a zero  in (-5,-4)

f(-6) = -36 - no change in sign between -5 and -6.

Answer:

A

Step-by-step explanation:

Answer: BRAINLIEST PLEASE

her supply has 18 pounds

Explanation:

Assume that the number of pounds in her supply is x.

We are given that:

She uses 1/3 x in salted mix and 2/9 x in unsalted mix.

This means that:

Total amount used = 1/3 x + 2/9 x = 5/9 x of her supply

Now, we are also given that:

She used 10 pounds of her supply.

This means that:

5/9 x = 10

5x = 9*10 = 90

x = 18 pounds

Hope this helps :)

The number of pounds of seeds in her supply is 18

Given:

let

her total supply = x

Supply of salted snack = 1/3x

Supply of unsalted snack = 2/9x

Total pounds of sunflower seed = 10

Total supply of sunflower seeds = salted snack + unsalted snack

10 = 1/3x + 2/9x

10 = (3x + 2x) / 9

10 = 5/9x

divide both sides by 5/9

x = 10 ÷ 5/9

x = 10 × 9/5

= (10 × 9) / 5

= 90/5

= 18

x = 18

Therefore, number of pounds of seeds in her supply is 18

Read more:

https://brainly.com/question/2261275

210. Please mark as brainliest!

Answer:

100

Step-by-step explanation: It is 100 because they are dividing by 2 each time, so it is 100.

Answer:

100

Step-by-step explanation:

Answer:

3 right and 5 down

Step-by-step explanation:

Answer:

greater than

Step-by-step explanation:

half the times the cube was rolled it landed on six the theoretical probability is only eight, 48 > 8

Answer:

the whole

Step-by-step explanation:

i may be wrong

sorry

Answer:

Definitely percent

Step-by-step explanation:

Answer:

BC

Step-by-step explanation:

because it is what it is

you said you will give use 20 points but it is marked as 5 Points.

Answer: Look at explanation, and hope it helps. Please mark as brainliest! Take care during these hard time.

Step-by-step explanation:

a.

A diagonal of a square inscribed in a circle is the diameter.

So, to find the diameter we know if we separate the square into two different 45-45-90 degree triangles where a and b is 8[tex]\sqrt{2}[/tex]. Use the 45-45-90 degree theorem shown in picture to find that the diagonal 8[tex]\sqrt{2}[/tex] times [tex]\sqrt{2}[/tex] equals 16.

So, the diagonal is 16, thus the diameter is 16.

b.

Multiply 8[tex]\sqrt{2}[/tex] times 4 to get 32[tex]\sqrt{2}[/tex] as the perimeter as there are 4 sides which are equal to RS

c.

The circumference of a circle is the diameter times [tex]\pi[/tex]. The diameter we know from a, which is 16. So, it is 16[tex]\pi[/tex]

Answer:

180/5*7=252 Miles

Step-by-step explanation: the mile in one hour equal 180/5=36 mile/hour

the miles in 7 hours = 36 *7 = 252 miles

Answer:

Since a and b are constant the answer is 6.5

Step-by-step explanation:

g(x) = 2x + 5

g(x) = y

y = 2x + 5

y - 5 = 2x

[tex]\frac{y-5}{2}[/tex] = x

[tex]g^{-1}[/tex](x) = [tex]\frac{x-5}{2}[/tex]

8 = h(1) and h(3) = 26

26 = a(3) + b

a = b

6.5 = 6.5

26 = 6.5(3) + 6.5

26 = 19.5 + 6.5

26 = 26

Answer:

square root of 166, 13, 14

Step-by-step explanation:

Answer: 9.19 ft

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Sin α = opposite side / hypotenuse  

Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the opposite side (x) is distance between the top of the ladder and the ground.

Replacing with the values given:  

Sin 45 = x/ 13

Solving for x  

sin45 (13) =x  

x= 9.19 ft

Feel free to ask for more if needed or if you did not understand something.  

Look at the attached picture

hope it will help you

good luck on your assignment...

Answer:

[tex]x = 15 \: \: degrees \\ x = 18 \: \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

11x2-y=

Step-by-step explanation:

well it's easy simplifying 10+1=11

Answer:

54 degrees

Step-by-step explanation:

180- 72 = 108

108 divided by 2 = 54

Answer:

54°

Step-by-step explanation:

There is 180° is a triangle. We have 72° given already

180 - 72 = 108

Since there are two y's we divide by two

108 ÷ 2 = 54°

I hope this helps! ^_^

=================================================

Short explanation:

Plug z = 2 into the equation and you'll find that

z^3 + 8 = 2^3 + 8 = 8+8 = 16

but the result should be 0 since the original equation has 0 on the right side. Therefore, z = 2 is not a solution.

------------------------------------

Longer explanation:

Solve the equation for z to find the three roots.

z^3 + 8 = 0

(z+2)(z^2 - 2z + 4) = 0 ... sum of cubes factoring rule

z+2 = 0 or z^2 - 2z + 4 = 0

z = -2 or z^2 - 2z + 4 = 0

We see that z = -2 is one root. To find the other two roots, use the quadratic formula to solve z^2 - 2z + 4 = 0 for z

[tex]z = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\z = \frac{-(-2)\pm\sqrt{(-2)^2-4(1)(4)}}{2(1)}\\\\z = \frac{2\pm\sqrt{-12}}{2}\\\\z = \frac{2\pm\sqrt{-1*4*3}}{2}\\\\z = \frac{2\pm\sqrt{-1}*\sqrt{4}*\sqrt{3}}{2}\\\\z = \frac{2\pm i*2*\sqrt{3}}{2}\\\\z = \frac{2\pm 2i*\sqrt{3}}{2}\\\\z = \frac{2(1\pm i*\sqrt{3})}{2}\\\\z = 1\pm i\sqrt{3}\\\\z = 1+ i\sqrt{3} \ \text{ or } \ z = 1- i\sqrt{3}\\\\[/tex]

Therefore, the three roots of z^3+8=0 are [tex]z = -2, \ z = 1+i\sqrt{3}, \ z=1-i\sqrt{3}[/tex]

The value z = 2 is not part of the list of solutions.

We can verify each solution by plugging it back into the original equation. For instance, with z = -2, we get

z^3 + 8 = 0

(-2)^3+8 = 0

-8+8 = 0

0 = 0 ... solution is confirmed.

I'll let you check the other solutions.

Answer:

Step-by-step explanation:

Given the surdic equation as shown [tex]\frac{\sqrt{6}+\sqrt{11} }{\sqrt{5}+\sqrt{3} }\\[/tex]

To find the quotient, we will rationalize by multipying both numerator and denominator of the function by the conjugate of the denominator.

Given the denominator [tex]\sqrt{5}+\sqrt{3}[/tex], its conjugate will be [tex]\sqrt{5}-\sqrt{3}[/tex]

Multiplying through by [tex]\sqrt{5}-\sqrt{3}[/tex], we have;

[tex]= \frac{\sqrt{6}+\sqrt{11} }{\sqrt{5}+\sqrt{3} } * \frac{\sqrt{5}-\sqrt{3} }{\sqrt{5}-\sqrt{3} }\\[/tex]

[tex]= \frac{\sqrt{30}- \sqrt{18}+\sqrt{55}-\sqrt{33}}{2}\\= \frac{\sqrt{30}- \sqrt{9*2}+\sqrt{55}-\sqrt{33}}{2}\\= \frac{\sqrt{30}- 3\sqrt{2}+\sqrt{55}-\sqrt{33}}{2}[/tex]

The final expression gives the requires answer

Answer: B. square root 30- 3 root 2 plus square root 55- square root 33/ 2

Step-by-step explanation:

its right

Answer:

Correct option: second one -> Andy and Donald do not collide.

Step-by-step explanation:

To find if the boys collide, we need to find if there is a common value of t where the their x position are equal and their y position are equal. To do this, we make x(t) of Andy equal to x(t) of Donald, , then if there is a value for t, we do the same for y(t) and check if the values of t are equal:

24 + 23t = 12 + t

22t = -12

t = -0.5455 seconds

As the time is negative, it will not occur, so the boys will never collide.

Correct option: second one

Answer:

45%

Step-by-step explanation:

100%=36+26+18= 80 36/80 as a fraction is 45%

Answer:

f(3) = 71

Step-by-step explanation:

f(x) = 10(x + 5) − 9

f(3) = 10(3 + 5) - 9

f(3) = 10(8) - 9

f(3) = 80 - 9

f(3) = 71

Answer:

B and D

Step-by-step explanation:

Answer:

21.75 km/h

Step-by-step explanation:

Let's call the aircraft carrier speed 'x', so the speed of the container ship is 'x+8'

The distance travelled can be found with the product of the speed and the time travelled: d = v * t

The aircraft carrier travelled five hours, so the distance travelled is:

d1 = x * 5 = 5x

Then, the container ship travelled seven hours, so the distance travelled is:

d2 = (x+8)*7 = 7x + 42

As they travelled in opposite directions, the distance between then is the sum of these distances, and it is equal 303 km, so we have that:

d1 + d2 = 303

5x + 7x + 42 = 303

12x = 261

x = 21.75 km/h

Answer:

The aircraft carrier's speed was 13 km/h

Step-by-step explanation:

The parameters given in the question are;

Time of departure of the aircraft carrier = 5 hours before the container ship

Speed of the container ship = 8 km/h faster than the aircraft carrier

Distance between the two ships after 7 hours = 303 km

Let the speed of the aircraft carrier be Z

∴ The speed of the container ship = Z + 8

Since the aircraft carrier left port 35 travelling North 5 hours earlier we have;

Total time of travel of the aircraft carrier at the time of measurement of the distance between the two ships = 5 + 7 = 12 hours

Therefore, since both ships are moving in opposite direction on the same line path, we have;

303 = 12×Z + 7 × (Z + 8) = 12·Z + 7·Z + 56

19·Z = 303 - 56 = 247

∴ Z = 247/19 = 13 km/h

Hence, the aircraft carrier's speed was 13 km/h.