formula of (a^3+b^3)​

Answer:

63cm²

Step-by-step explanation:

Area of the shaded region = Area of the rectangle - Area of the two triangles

Area of the rectangle = 6(3+14)

Area of the rectangle = 6 * 17

Area of the rectangle = 102cm²

Area of the smaller triangle = 1/2 * 3 * 6

Area of the smaller triangle = 18/2 = 9cm²

Area of the larger triangle = 1/2 * 6 * (17-7)

Area of the larger triangle = 1/2 * 6 * 10

Area of the larger triangle = 60/2 = 30cm²

Area of the shaded part = 102 - (9+30)

Area of the shaded part = 102 - 39

Area of the shaded part = 63cm²

Answer:

Without thinking too hard, by adding the progression of number until we reach  >200 and counting what n value we have we can solve this question.

The rule of this progression is to + 4 every time.

2 + 6 + 10 + 14 + 18 + 22 + 26 + 30 + 34 + 38 + 42

This will give us 242, which is greater than 200. There are 11 numbers here, so the n value is 11.

Answer:

Hello,

Step-by-step explanation:

Using n terms, the arithmetic sequence will be:

2,6,10,14,...,?

=0*4+2,1*4+2,2*4+2,3*4+2,...,(n-1)*4+2

s=(0*4+2)+(1*4+2)+(2*4+2)+(3*4+2)+...+(n-1)*4+2 >200

(2+2+2+...+2)+4(0+1+2+...+(n-1)) > 200

2*n+4*(0+(n-1))*n/2 >200

2n+2(n²-n) > 200

2n² >200

n² > 100

n >10

the smallest value of n is 11.

11 th term is (11-1)*4+2=42

sequence={2,6,10,14,...,42} which sum is 2*11²=242

Answer:

.54 (54%)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The position function for this is given as

[tex]h(t)=-16t^2+48t+2.75[/tex] where h(t) is the height of the football at any time t. If the ball is caught at 5.25 feet, that h(t) value is 5.25 since we are looking for the time the ball was in the air from its initial 2.75 feet to 5.25 feet, when it was caught.

[tex]5.25=-16t^2+48t+2.75[/tex] and set this equal to 0:

[tex]-16t^2+48t-2.5=0[/tex] and factor.

When we factor we get

t = .05 and t = 2.95 in seconds.

That first time tell us how long it takes to go from the initial height of 2.75 to a point 2.5 feet higher, 5.25. To get get back down to the 5.25 foot height on the other side of the vertex, is 2.95 seconds. So the total time the ball was in the air was 3 seconds exactly.

Answer:

2/3

Step-by-step explanation:

If we know two points we can find the slope using

m = ( y2-y1)/(x2-x1)

    = ( 3 -1)/(8 - 5)

    = 2/3

Answer:

CDJ

Step-by-step explanation:

Answer:

Choice C. C,D,J

Step-by-step explanation:

Answer:

452.39

Step-by-step explanation:

Hope this is right

Answer:

x = 5

Step-by-step explanation:

4x + 17 = 12x - 23

23 + 17 = 12x - 4x

      40 = 8x

       8      8

       5  =  x

The value of x should be 5.

A parallelogram is a quadrilateral with opposite sides parallel (and therefore opposite angles equal).

As, to from the square using the dimension of parallelogram the value of x should be 5

as the side of square is equal.

4x + 17 = 12x - 23

23 + 17 = 12x - 4x

40 = 8x

5  =  x

Learn more about parallelogram here:

https://brainly.com/question/1563728

#SPJ2

Answer:

8 years

Salary: $95000

Step-by-step explanation:

Write an equation to model the salary and its raise per year. Add the base salary to the raise per year salary times (x). Where the parameter (x) represents the number of years spent in the company.

Company (1):

75000 + 2500x

Company (2):

55000 + 5000(x)

One is asked at which year will the salaries be the same. Equate the two expressions and solve for the variable (x):

75000 + 2500x = 55000 + 5000(x)

Inverse operations:

75000 + 2500x = 55000 + 5000x

20000 + 2500x = 5000x

20000 = 2500x

8 = x

Substitute (x) into any one of the experssions and simplify to solve the epxression,

55000 + 5000(x)

x = 8

= 55000 + 5000(8)

= 55000 + 40000

= 95000

Answer:

y = 2x + 4

Step-by-step explanation:

(x₁ , y₁) --> (0 ,4)    & (x₂ , y₂) = (6 , 16)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

          [tex]= \frac{16-4}{6-0}\\\\=\frac{12}{6}\\\\m = 2[/tex]

(x₁  , y₁) --> (0 ,4)

y - y₁ = m(x - x₁)

y - 4 = 2(x - 0)

y - 4 = 2x

   y = 2x + 4

Answer:

Parabolas have an axis of symmetry. If we assume that x=2 is that axis of symmetry, them that must mean the x values -2 and 6 should have the same y values, which they don't, thus an equation is not possible.

Answer:

8 sundaes

4:32

.......

.......

...

Step-by-step explanation:

To make 1 sundae, the total number of spoons use of sprinkles=4. Let the number of sundaes made in 32 spoonfuls of sprinkles be x. Also the number of sprinkles and the number of sundaes are directly proportional. Therefore, Hence, if 32 spoonfuls of sprinkles is used, then the ice-cream shop can make 8 sundaes.

Answer:

[tex]\sqrt{2\frac{7}{8} } =\\\sqrt{\frac{25}{8} } =\\\sqrt{\frac{25*2}{16} } =[/tex]

±5√2/4

Answer:

2nd option and 4th option, other functions don't apply, remember r(1) can't be 3 since the she designs 2 rings in the first hour.

Answered by GAUTHMATH

Answer:

[tex]b)\ 61m[/tex]

Step-by-step explanation:

The given triangle is a right triangle. This means that one can use right-angle trigonometry to solve the triangle. The right angle trigonometric ratios are a set of ratios that relate the sides and angles of a triangle. These ratios are as follows,

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

Bear in mind, the names (opposite) and (adjacent) change depending on the angle of reference. However, the side (hypotenuse) refers to the side opposite the right angle, this side doesn't change depending on the reference angle.

In this problem, one is given the measure of an angle, and the measure of the hypotenuse, the problem asks one to solve for the side opposite the given angle measure. It would make the most logical sense to use the ratio of sine (sin) to do this.

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

Substitute,

[tex]sin(56)=\frac{h}{73}[/tex]

Inverse operations,

[tex]sin(56)=\frac{h}{73}[/tex]

[tex]73(sin(56))=h[/tex]

[tex]60.519\approx h[/tex]

Answer:

If u add the number it will show u te answer which is 7

Step-by-step explanation:

Answer:

bro the co ordinates are in the picture itself

Answer:

A'(-3,0) ; B'(0,0); C'(3,6) ; D'(-3,6)

Step-by-step explanation:

O(-6,-6)

A( -5 , -4)  = A( -6+1 , -6 + 2)

A'(-6+3 ,-6+6) = A'(-3,0)

B(-4,-4) = B(-6+2 , -6+2)

B'(-6+6,-6+6)= B'(0,0)

C(-3,-2) = C(-6+3, -6+4)

C'(-6+9 , -6+12) = C'(3,6)

D(-5 , -2) = D(-6+1 , -6 +4)

D'(-6+3, -6+12)=D'(-3,6)

Answer:

(2x)(-y)

Step-by-step explanation:

Both are technically correct, but (2x)(-y) is more professional. You can also say 2x * -y.

Hope this helps!

Answer:

i dont know

Step-by-step explanation:

i dont kow

Answer:

Since they are similar, 45/27=30/18=x/24. x=40

Given:

The numbers are 378811, 267988, 250260, 196596, 193171.

To find:

The approximate value of the given numbers to the nearest hundreds, thousands and ten thousand.

Solution:

The required values shown in the below table:

Numbers       Nearest hundreds   Nearest thousands   Nearest ten thousand

378811                378800                     379000                        380000

267988              268000                    268000                        270000

250260              250300                    250000                        250000

196596               196600                      197000                        200000

193171                 193200                       193000                       190000

Answer:

160m

Step-by-step explanation:

Since the rectangles are similar and we have their proportion of coefficient, the larger rectangle is twice the smaller rectangle.

Furthermore, the ratio of two longer sides should equal the ratio of the two shorter sides.

Therefore, for our case, we multiply the smaller rectangle by 2.

Hence;

(80 × 2)m

= 160 m

NB:

The ratio of the areas of two similar shapes or figures is equivalent to the square of the corresponding sides.

Answer:

-3, 7, 17, 27, 37

Step-by-step explanation:

Essentially, you just put -3 for the first box, and add 10. Then you take that new number and put it in the next box.

Answer:

-14y -154

Step-by-step explanation:

Multiply -14 and y = -14y

Multiply -14 and 11 = -154

Answer:

[tex]-14\left(y+11\right)[/tex]

[tex]=-14y+\left(-14\right)\cdot \:11[/tex]

[tex]=-14y-14\cdot \:1[/tex]

[tex]=-14y-154[/tex]

OAmalOHopeO

Answer:

The measurement for the length of the walls.

Step-by-step explanation:

Given

[tex]Cost = \$22[/tex] per gallon

[tex]Height = 9ft[/tex]

[tex]1\ gallon = 40ft^2[/tex]

See comment for complete question

Required

The additional information needed to solve the question

First, we need to calculate the area of the walls of the bedroom.

The height of the ceilings represents the length/width of the walls; so, we need the width of each side of the bedroom.

Since the width is not given, then we can conclude that the additional information needed is the length/width of the walls.

Answer:

The correct answer: 0.05404

Step-by-step explanation:

Given:

Binomial distribution = x

n = 10

and p = 0.09

solution:

P(X=x) =1 0Cx*(0.09^x)*((1-0.09)^(10-x)) for x=0,1,2,...,10

So the probability is calculated by the Formula:

P(X>=3) = 1-P(X=0)-P(X=1)-P(X=2)

putting the given values in the formula

= 1-10C0*(0.09^0)*((1-0.09)^(10-0))-...-10C2*(0.09^2)*((1-0.09)^(10-2))

= 0.0540400

Thus, the correct answer: 0.05404

Answer:

W

Step-by-step explanation:

9^(-1/2)*9^(3/2)=(1/3)*(3^3)=3^2=9