What is √80k3 expressed in simplest radical form?

Answer:

More than 6.21 times

Step-by-step explanation:

The common ratio [tex]r=\dfrac{4}{5}[/tex]

Distance of first bounce

[tex]a_1=4\times \dfrac{4}{5}=\dfrac{16}{5}[/tex]

Second bounce

[tex]a_2=ar^{n-1}=\dfrac{16}{5}(\dfrac{4}{5})^{2-1}\\\Rightarrow a_2=\dfrac{16}{5}(\dfrac{4}{5})[/tex]

n bounce

[tex]a_n=ar^{n-1}\\\Rightarrow a_n=\dfrac{16}{5}(\dfrac{4}{5})^{n-1}[/tex]

Now the nth bounce will be less than 1 feet

[tex]\dfrac{16}{5}(\dfrac{4}{5})^{n-1}<1\\\Rightarrow (\dfrac{4}{5})^{n-1}<\dfrac{5}{16}[/tex]

Applying logarithms on both sides we get

[tex](n-1)\ln \dfrac{4}{5}<\ln\dfrac{5}{16}\\\Rightarrow n>\dfrac{\ln\dfrac{5}{16}}{\ln \dfrac{4}{5}}+1[/tex]

The inequality changes as both [tex]\ln\dfrac{5}{16}[/tex] and [tex]\ln \dfrac{4}{5}[/tex] are negative numbers.

So,

[tex]n>6.21[/tex]

Hence, the number of bounces is more than 6.21 times.

Answer: I think 53.1

Step-by-step explanation:

The object's temperature after 18.0 minutes is 425.83.

Given that,

An object's temperature cools exponentially after it is removed from a furnace (hot oven).

If its initial temperature is 730°C and it cools at a rate of 2.95% per minute.

We have to determine,

The object's temperature after 18.0 minutes.

According to the question,

The initial temperature is 730°C and it cools at a rate of 2.95% per minute,

The temperature after t minutes is modeled by an exponential function, which has the following format is,

[tex]T(t) = T(0) . (1-r)^t[/tex]

Where T(0) is the initial temperature, and r is the cooling rate, as a decimal.

Then,

T(0) = 730°c and r = 2.95% = 0.0295

Substitute all the values in the equation,

[tex]T(t) = T(0) . (1-r)^t\\\\T(18) = 730 \times (1-0.0295)^{18}[/tex]

Therefore,

The object's temperature after 18.0 minutes is,

[tex]T(t) = T(0) . (1-r)^t\\\\T(18) = 730 \times (1-0.0295)^{18}\\\\ T(18) = 730 \times 0.5833\\\\T (18) = 425.83[/tex]

Hence, The required value of the object's temperature after 18.0 minutes is 425.83.

To know more about the Exponential function click the link given below.

https://brainly.com/question/16902197

Answer:

Step-by-step explanation:

From the information above we have:

Sum of the above two gives us the number of bikes with suspension or gears:

Probability of selected bike be G or S is:

Answer:

x=6241

Step-by-step explanation:

^2 on both sides.

x=79^2.

x=6241.

Hope this helps plz hit the crown :D

Answer:

6241

Step-by-step explanation:

hope this is correct

Answer:

top left: 1/3

top right: 16

bottom left: 1/3

bottom right: 15

Step-by-step explanation:

Answer:

-6.4z -3.5xz

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

Step-by-step explanation:

Since c is on the left of -1 on the number line,

c < -1.

If we add 2 to both sides of the inequality we get c + 2 < 1.

Hence the correct sign is "<".

Answer:

In the explanation

Step-by-step explanation:

a) Multiply the second equation by 2, subtract both lines. You get x = -3. Plug this in to get y, y = -2

b) Multiply the first equation by 2, add both lines. You get x = 8. Plug this in to get y, y = -3

c) Multiply the first equation by 5, subtract both lines. You get y = 1. Plug this in to get x, x = -3

d) Multiply the first equation by 2 and the second one by 3, add both lines. You get x = 1. Plug this in to get y, y = 4

Hope this helps!

Answer:

13- 25 fish

14- 9 miles

15- 7.825 ft3

16- 11.3 feet

Step-by-step explanation:

13-

        14 x 2 = 28 fish

        He dropped three things so:

        28 - 3 = 25 fish

14-

         7 days x 3weeks = 21 days

         3laps x 21 days = 63 laps

         63 laps x 1/7 mile = 9 miles

15-

         all his savings: 2.6 + 7.34 + 5.71 = 15,65 ft3    

         melted snow = 15.65 / 2 = 7.825 ft3

16-

         3.5 - 1.8 = 1.7 feet

         1.7 + 9.6 = 11.3 feet

Answer:

Step-by-step explanation:

# 13.

I assume there will be no bonus, because penguin dropped some things.

14 × 2 - 3 × 1 = 25 fish

# 14.

3 laps, [tex]\frac{1}{7}[/tex] mile, 7 days, 3 weeks

3 × [tex]\frac{1}{7}[/tex] × 7 × 3 = 9 miles

# 15.

[tex]\frac{2.6+7.34+5.71}{2}[/tex] = 7.825 ft³

# 16.

[tex]3\frac{1}{2}[/tex] = 3.5

+ 3.5 - 1.8 + 9.6 = (3.5 + 9.6) - 1.8 = 11.3 ft.

Answer:

[tex]y +2 =-6(x - 1)[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (1,-2)[/tex]

[tex]m=-6[/tex]

Required

Determine the point slope equation

This can be determined using the following formula:

[tex]y - y_1 =m(x - x_1)[/tex]

Where:

[tex](x_1,y_1) = (1,-2)[/tex]

[tex]m=-6[/tex]

So, we have:

[tex]y - (-2) =-6(x - 1)[/tex]

This gives:

[tex]y +2 =-6(x - 1)[/tex]

Hence, the point slope form is [tex]y +2 =-6(x - 1)[/tex]

Answer:

I my knowledge

option D y=6x

Step-by-step explanation:

and I am 100% sure you

Answer:

y=6x

Step-by-step explanation:

Answer:

7/40

Step-by-step explanation:

7 balls are green-->numerator

7 balls out of 40( in total) are green.

7/40

This means that out of every 40 balls picked, 7 of them should be green.

$34,251.05

i hope this helps

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + \frac{R}{n} )^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

The amount Liam got on his 18th birthday is $34,251.05.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + \frac{R}{n} )^{nt}[/tex]

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

Example:

P = 200

R = 2%

t = 3 years

compounded annually, n =1

A = $212.24

We have,

Principal = $20,000

Rate = 3%

There are 4 quarters in a year.

It is compounded quarterly.

This means,

n = 4

t = 18 years

The amount compounded quarterly.

A = 20,000 [tex](1 + 0.0075)^{72}[/tex]

A = 20,000 x [tex]1.0075^{72}[/tex]

A = $34,251.05

Thus,

The amount Liam got on his 18th birthday is $34,251.05.

Learn more about compound interest here:

https://brainly.com/question/13155407

#SPJ2

Answer:

Fraction- 33/4

Decimal- 8.25000

Step-by-step explanation:

Hope this helps!

Brain-List?

Answer:

10

Step-by-step explanation:

since everything is doubled

we just do 5 multiplyed by 2

Answer:

The linear equations which have one solution are C. [tex]4\cdot (-6) +4 = 2\cdot (r-3)[/tex], D. [tex]2\cdot (-4) = 5\cdot (r-3) +3[/tex] and E. [tex](20-1) +3\cdot r = 5\cdot (r-2) + 3[/tex].

Step-by-step explanation:

From Algebra we know that a system of linear equation has a unique solution when the number of variables is equal to the number of equations. Now we proceed to check if each option fulfills this condition:

A. [tex]5\cdot x -1 = 3\cdot (r + 11)[/tex]: Number of equations: 1/Number of variables: 2 [tex]\{x, r\}[/tex]

B. [tex]4\cdot (r-2)+4\cdot x = 8\cdot (x-9)[/tex]: Number of equations: 1/Number of variables: 2 [tex]\{x, r\}[/tex]

C. [tex]4\cdot (-6) +4 = 2\cdot (r-3)[/tex]: Number of equations: 1/Number of variables: 1 [tex]\{r\}[/tex]

D. [tex]2\cdot (-4) = 5\cdot (r-3) +3[/tex]: Number of equations: 1/Number of variables: 1 [tex]\{r\}[/tex]

E. [tex](20-1) +3\cdot r = 5\cdot (r-2) + 3[/tex]: Number of equations: 1/Number of variables: 1 [tex]\{r\}[/tex]

The linear equations which have one solution are C. [tex]4\cdot (-6) +4 = 2\cdot (r-3)[/tex], D. [tex]2\cdot (-4) = 5\cdot (r-3) +3[/tex] and E. [tex](20-1) +3\cdot r = 5\cdot (r-2) + 3[/tex].

Answer:

c

Step-by-step explanation:

because the question already told that a table has four chairs. So, we need the number of tables in the cafe to calculate number of chairs

Answer:

6758

Step-by-step explanation:

Given the data:

Monday _______ 8565 steps

Tuesday ______ 14707 steps

Wednesday ____ 15323 steps

Thursday ______ 9788 steps

Friday _________12482 steps

The range from the data is :

(Highest value - lowest value)

(15323 - 8565)

Answer:

The answer is 3 miles, I had the same question

Answer:

The answer is 1050

Step-by-step explanation:

Step-by-step explanation:

If F(x) = 2x+6, g(x) = 3² findf(g (-3))

Solution

f(g (-3)) = 2x+6(3²(-3)) = 2x+6(3×3(-3))

= 2x+6(-27) = 54x-162 = 54x = 162

54/54x = 162/54

x = 3

Answer:

➩ [tex]f(g(-3)) = 24[/tex]

Step-by-step explanation:

➨ Rearrange/Simplify the equations

[tex]F(x)=2x+6\\g(x)=9[/tex]

➨ Find [tex]f(g(-3))[/tex]

[tex]g(-3)=9[/tex] ➩ All x-values have same y-values ➩ Constant Function

Substitute [tex]g(-3) = 9[/tex] in the f(x)

[tex]f(g(-3)) = f(9)\\f(9)=2(9)+6\\f(9)=18+6\\f(9)=24\\f(g(-3)) = 24[/tex]

Thus, the answer ➩ [tex]f(g(-3)) = 24[/tex]

Answer:

3.1%

Step-by-step explanation:

divide his electricty payment by his monthly pay

Answer:

450

Step-by-step explanation:

The total number of possible working groups of 4 workers selecting from 12 workers is the number of ways of selecting 4 persons from 12 persons

[tex]=\binom{12}{4}=\frac{12\times 11 \times 10 \times 9}{1\times 2 \times 3\times 4}=495[/tex]

The total number of possible groups of 4 workers in which 2 persons (Hugo and Viviana) always come together

[tex]= \binom {12-2}{4-2}=\binom {10}{2}=\frac{10\times9}{1\times2}=45[/tex]

So, the total number of possible working groups in which Hugo and Viviana are not working together in any of the groups [tex]= 495-45=450[/tex].

Answer: B or -I/2

Step-by-step explanation: I did this question

Answer:

4/12

Step-by-step explanation:

Answer:

the answer is 7.

Hey thanks a lot for the points and merry Christmas and have a great day onwards. :)

Answer:

7

Step-by-step explanation:

Answer:

Assumptions before conduction hypothesis test are mentioned below in the explanation.

Step-by-step explanation:

As this question is incomplete, and I will try my best to answer this question.

We are asked in this question to write the assumptions that  we check before conducting the hypothesis test.

Solution:

Assumptions of hypothesis test:

1. We have to make assumption that all the observations are independent.

2. Secondly, we need to take assumption that, all the parent population of the data reflects normal distribution.

3. Furthermore, we need to assume that experimental error or random error is independently identical and normally distributed with mean "0" and variance of (σ^2).

Above are the assumptions that we should check before conducting hypothesis test.

Answer: A would be the answer hope this helps