Is this sequence arithmetic? 6,11,16,21

Answer:14127

Step-by-step explanation:

Po=2100

T=11

D=4

Pt=po•2 t/d

Pt=2100•2 11/4

Pt=14127.0598=14127

Answer:

I think that the answer is 2.5 , the second item .

Answer:

The area of this is 28.67 meters squared

Step-by-step explanation:

You must use division in order to complete the question

Answer:

y-12=1/3(x-6)

Step-by-step explanation:

Using the slope intercept form:

[tex]y - yo = m(x - xo) [/tex]

We can see from the given point (6,12) that yo = 12 and xo = 6. The slope, m, is 1/3. Plugging in the values gives us this equation in slope-intercept form that can then be converted to any other form.

Step-by-step explanation:

i) Capacity(Volume) = length x breadth x depth

= 3.2 x 2.9 x 1.5

= 13.92 m³

In litres, 13.92 x 1000 = 139,20 litres

ii) Capacity(Volume) = length x breadth x depth

= 2.5 x 1.6 x 1.3

= 5.2 m³

In litres, 5.2 x 1000 = 5200 litres

iii) Capacity(Volume) = length x breadth x depth

= 7.3 x 3.6 x 1.4

= 36.792 m³

In litres, 36.792 x 1000 = 36,792 litres

Answer:

The time it will take is approximately 104,128 seconds

Step-by-step explanation:

The given parameters are;

The diameter of the tank, D = 24 ft.

Therefore, the tank radius, R = D/2 = 24 ft./2 = 12 ft.

The height of the tower on which the tank sits, h = 60 ft.

The hose through which the tank is filled is attached at the bottom of the tank

The radius of a slice of sphere, r = √(R² - y²) = √(12² - y²)

The power of the pump which is used to deliver the water = 1.5 horsepower

The volume of a slice of water in the tank, V = π·r²·Δx = π·(√(12² - y²))²·Δx ft³ = (144 - y²)·π·Δx ft³

The force of the slice, F = V·g·ρ = (144 - x²)·π·Δx ft³ × 62.5 lb/ft³

Let '[tex]y_i[/tex]' represent the height to which each slice is pumped in  the tank, we have;

y = R - (√(R² - x²)) = 12 - (√(144 - x²)

[tex]\lim\limits_{n \to \infty}\ \sum\limits_{i=0}^n (144 - x^2) \cdot \pi \times 62.5 \cdot y_i\ \Delta x \ lb[/tex]

The work done is therefore;

[tex]W = 62.5\times\pi \times \int\limits^{12}_{-12} {(144 - x^2) \cdot(12-(\sqrt{144-x^2} ) \ } \, dx = 632044.366475 \ ft. \cdot lb[/tex]

The work done in filling the tank, W = 632,044.366475 ft·lb

The work done in lifting the water to the base of the tank, W₂ = V·ρ·g×h

[tex]\therefore W_2 = 60 \times 62.5\times\pi \times \int\limits^{12}_{-12} {(144 - x^2) \ } \, dx = 632044.366475 \ ft. \cdot lb = 85273382.0257[/tex]

Therefore, W₂ = 85,273,382.0257 ft.lb

The total work done by the pump,

W = 85,273,382.0257 ft.lb + 632,044.366475 ft·lb = 85,905,426.3922 ft.lb

The time it will take the pump to fill the tank, 't', is given as follows;

1

Power, P = Work, W/(Time, t)

∴ t = W/P

P = 1.5 HP = 550 × 1.5 ft·lb/s = 825 ft·lb/s

t = 85,905,426.3922 ft.lb/(825 ft·lb/s) = 104,127.789566 s

The time it will take, t ≈ 104,128 seconds

Answer:

b. 59

Step-by-step explanation:

cosΘ = 42/82

Θ ~= 59.1898

Answer:

i need help with this so you can ready

Answer: 0.089

Step-by-step explanation:

Math

Answer:

IT SAYS IT 27 PEOPLE WOULD BE SEATED

Step-by-step explanation:

Answer:

448

Step-by-step explanation:

Step-by-step explanation:

let Rita = R

Let Gabriela = G

so we have

G ×R = 21

G= R + 4

(R+4)(R) = 21

R^2+4R -21=0

Answer:

A. Mean

Step-by-step explanation:

The solutions of x in the equation are -5 and -1

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

The equation is given as

(x + 3)^2 - 4 = 0

Add 4 to both sides of the equation

So, we have

(x + 3)^2 = 4

Take the square root of both sides

x + 3 = ±2

Subtract 3 from both sides

x = - 3 ± 2

Evaluate

x = (-3 - 2, -3 + 2)

This gives

x = (-5, -1)

Hence, the solutions of x in the equation are -5 and -1

Read more about equations at

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Answer:

Angle 2 = 34 degrees

Angle 4 = 34 degrees

Step-by-step explanation:

Angle 7 = Angle 1

180 - 146 = 34 degrees

so Angle 2 and 4 are 34 degrees, since they are congruent.

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

Step-by-step explanation:

Linear

Answer:

 parallelogram

options D

I took the test and got it right.

Answer:

12 50 I don't know

Step-by-step explanation:

the answer for that should be C

Answer:

I think its c

Step-by-step explanation:

4 is the initial cost and 55 is the amount per ticket

Ans.......

YTC ...................................

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

just divide 152 by 328 and youll get 0.463

Answer:

Joe Mok

Step-by-step explanation:

Joe MAMA

Answer:

5/13

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

The proportion of new typists that take at most two hours to learn the computer system is 0.9525 = 95.25%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Normal distribution with a mean of 90 minutes and a standard deviation of 18 minutes.

This means that [tex]\mu = 90, \sigma = 18[/tex]

The proportion of new typists that take at most two hours to learn the computer system is

This is the pvalue of Z when X = 120 minutes = 2 hours. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{120 - 90}{18}[/tex]

[tex]Z = 1.67[/tex]

[tex]Z = 1.67[/tex] has a pvalue of 0.9525.

The proportion of new typists that take at most two hours to learn the computer system is 0.9525 = 95.25%.

Answer:

Step-by-step explanation:

She poured ⅔×2 = 4/3 qt into the second bottle.

Her bottle holds 2×4/3 = 8/3 qt

Answer:

y = 55

x = 6

∠E = 70

Step-by-step explanation:

Hello There!

Segment DE and segment EF are congruent meaning that there opposite angles are congruent

So angle D and angle F are congruent

Because ∠D = 55 ∠F also equals 55

now we can solve for x

Remember all of the angles in a triangle add up to equal 180 so we use this equation to solve for x

180=55+55+11x+4

step 1 combine like terms

55+55+4=114

now we have

180=11x+114

step 2 subtract 114 from each side

180-114=66

now we have

66=11x

step 3 divide each side by 11

66/11=6

11x/11=x

we´re left with

x=6

Now we can plug in 6 to x to find the measure of angle E

6x11=66

66+4=70 so angle E = 70

Answer:

25 in²

Step-by-step explanation:

formula for area of a triangle:

1/2(bxh)

1/2(5x10)

1/2(50)

25

Answer:

D. [tex]25^{2}[/tex]

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Steps 1 : for the top numerator 7!4! =

7! = 7×6×5×4×3×2×1

4!=4×3×2×1

step 2 : for the bottom denominator 3!6!

3!= 3×2×1

6!=6×5×4×3×2×1

step 3 : is to cancel out all number that looks like on numerator over denominator

it will leave you with 7 × 4 only on the numerator = 28

because all the number in the denominator will cancel out with some on the numerator .

I hope it helps

The simplified solution of the factorial expression (7!4!)/(3!6!) is 14/3.

The given expression is

(7!4!)/(3!6!)  

We can simplify it using properties of factorials.

First, let's expand each factorial:

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1

4! = 4 x 3 x 2 x 1

3! = 3 x 2 x 1

6! = 6 x 5 x 4 x 3 x 2 x 1

Now, we can substitute these factorials into the original expression:

(7!4!)/(3!6!) = (7 x 6 x 5 x 4 x 3 x 2 x 1 x 4 x 3 x 2 x 1) / (3 x 2 x 1 x 6 x 5 x 4 x 3 x 2 x 1)

Next, we can cancel out common factors from the numerator and denominator:

(7 x 4)/(3 x 2 x 1) = 28/6

Simplifying:

28/6 = 14/3

Therefore, the simplified solution to (7!4!)/(3!6!) is 14/3.

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Answer:

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