solve the equation

f(n)=10⋅2n for n = 5

Answer:

77 boys, 65 girls

Step-by-step explanation:

x as the variable to represent amount of girls, and there are 12 more boys than girls (x+12). So the equation would be:

x + x + 12 = 142

2x + 12 = 142

x = 65

65 girls

then 65+ 12 = 77 boys

Answer:

Candice

Step-by-step explanation:

Answer:

8.4%

Step-by-step explanation:

let x = interest rate

55,000(1 + x)^16 = 200,000

divide both sides by 55,000

(1 + x)^16 = 3.636

find the invese of 16

1 + x = 1.084

x = 0.084

x = 8.4

Answer:

Option A

Step-by-step explanation:

A probability distribution of a statistic that represents a large sample derived from a certain specific population size to  determine a range of possible outcomes of statistics such as Mean, Standard deviation, mode, median etc. in a way that it represents the existing entire population is known as a  sampling distribution

Hence, option A is correct

Answer:

$19

Step-by-step explanation:

$61-$25=$36-$17=$19

The degree for 7pi/4 is : 315°

Answer:

area of semicircle=76.969 inches

triangle is=10 in so 20 since there is 2 triangles made

rectangle=140 in

236.969 inches is the total

hope this helps

have a good day :)

Step-by-step explanation:

Step-by-step explanation:

5+5-3= 7

!!!!!!!!!!!!!!!!!

Answer:

answer is 7 please give a brainliest please

Step-by-step explanation:

Answer:

The probability of you choosing S would be a 1/11 chance or a 0.0909090909 chance.

Answer:

1 / 11

Step-by-step explanation:

there are 11 letters in candlesick so 11 possibilities and 1 S which is 1 out of 11 or 1 / 11.

Hope this helps ( :

Answer:

7y²x³

Step-by-step explanation:

when taking an exponent to an exponent multiply them

(7y²x³)² = 49y⁴x⁶

Answer:

12.56

Step-by-step explanation:

First of all, pi = 3.14

Diameter=4

Radius=2

3.14×[tex]2^{2}[/tex]

So,

3.14 × 4 =

12.56

Hope this helps!! (Hope I did this in time!!)

the answer of this equation is 6

Answer:

£6.00

Step-by-step explanation:

15/100×40

=£6.00

Answer:

[tex]\%Absent = 80.20\%[/tex]

Step-by-step explanation:

Given

The attached data

Required

%Absentee on Friday

First, calculate the total present

[tex]Present = 42 + 36 + 40 + 36 + 38[/tex]

[tex]Present = 192[/tex]

Calculate the %Present on Friday

[tex]\%Present = \frac{Friday}{Present} * 100\%[/tex]

[tex]\%Present = \frac{38}{192} * 100\%[/tex]

[tex]\%Present = \frac{3800}{192}\%[/tex]

[tex]\%Present = 19.80\%[/tex]

Using complement rule:

[tex]\%Absent = 100\% - \%Present[/tex]

[tex]\%Absent = 100\% - 19.80\%[/tex]

[tex]\%Absent = 80.20\%[/tex]

Answer:

-2.00

Step-by-step explanation:

Applying,

Z = (x-μ)/σ.................. Equation 1

Where Z =  Michelle z-score, x = Michelle score, μ = mean of the score, σ = Standard deviation of the score.

From the question,

Given: x = 48, μ = 70, σ = 11

Substitute these values into equation 1

Z = (48-70)/11

Z = -22/11

Z = -2.00

Hence Michelle's z-score is -2.00

Answer:

1/6

Step-by-step explanation:

Answer: 3

7x + 15 = 41 or 7x - 15 = 41

Answer:

7x - 15 = 41

Step-by-step explanation:

The key word is "difference" so keep that in mind. 7 times a number and 15 is 41. The "number" is unknown so a variable can be put in place until the number is known. The whole equation equals 41. The word "and" is where the "difference" or subtraction sign should go. Now we have a translated description! I hope this helps and if I'm wrong, please let me know!

Answer:

C. 9.87

Step-by-step explanation:

I calculated it logically

Answer:

0.0713 = 7.13% probability that the result is positive.

Step-by-step explanation:

Probability of a positive test:

91% of 1/650(has the disease).

7% of 1 - 1/650 = 649/650(does not have the disease). So

[tex]p = 0.91\frac{1}{650} + 0.07\frac{649}{650} = \frac{0.91 + 0.07*649}{650} = 0.0713[/tex]

0.0713 = 7.13% probability that the result is positive.

210 - 30 = 180

180 ÷ 15 = 12

12 weeks

It would take her 12 weeks to pay for the DVD player.

Answer:

40

Step-by-step explanation:

Inscribed Angle =  1/2 Intercepted Arc

<A = 1/2 (80)

<A = 40

Answer:

radius r = 47/π in

length l = 23.5 in

Step-by-step explanation:

Let us recall that:

Volume of a cylinder = [tex]\pi r^2 h[/tex] --- (1)

The girth g = [tex]2 \pi r + h[/tex]      ----- (2)

Given that:

height (h) + girth (g) = 141

Then g = 141 - h   ----- (3)

Equating equation (2) and (3), we have:

141 - h = 2πr + h

2h = 141 - 2πr

h = 70.5 - πr      ------ (4)

From, here now, we can now replace the value of h into equation (1)

i.e.

V = πr²(70.5 - πr)

V = 70.5πr² -  π²r³

Taking the differential of the above equation with respect to r, we have:

[tex]\dfrac{dv}{dr} = 141 \pi r- 3\pi ^2 r^2[/tex]

By further differentiation:

[tex]\dfrac{d^2v}{dr^2} = 141 \pi - 6\pi ^2 r[/tex]

Let set [tex]\dfrac{dv}{dr}= 0[/tex], Then:

141πr - 3π²r² = 0

141πr = 3π²r²

Divide both sides by πr

141 = 3πr

r = 141/3π

r = 47/π in

Replacing the value of r = 47/π into equation (4), we have:

h = 70.5 - πr

h = 70.5 - π(47/π)

h = 70.5 - 47

h = 23.5 in

From equation (3);

h + g = 141

23.5 + g = 141

g = 141 - 23.5

g = 117.5 in

Volume = πr²h

V = π × (47/π )² × 23.5

V = 16523.94 in³

2.75

Step-by-step explanation:

[tex]\sf\purple{2.75}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{11}{4} \\ = 2.75[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.ඞ}}}}}[/tex]

Solution :

It is given that force on the object is directly proportional to acceleration.

So, F = ka

Here, k is any constant value.

Putting, F = 27 N and a = 3 m/s² in above equation, we get :

3k = 27

k = 9 N s² m⁻¹

Putting, k in above equation, we get :

F = 9a

Now, putting F = 18 N, we get :

a = 18/9 m/s²

a = 2 m/s²

Hence, this is the required solution.

Answer:

256. fffddddddssddddd

Answer:

Surface Area = 139.4 (rounded to nearest tenth)

Answer:

because either x-6=0 or x+1=0

x-6=0

x=0+6

x=6     OR,

x+1=0

x=0-1

x=-1

Step-by-step explanation: