Prove: An even times an even is
an even.

Answer:

same as other answer

Step-by-step explanation:

Answer:

the answer is not you or anything is not

Answer:

3-is 85

2- is 95

4-95

Step-by-step explanation:

for 1 is 85

85-180=95

Answer:

183.6 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area = Area of trapezium - area of parallelogram-area of semicircle

= [tex]\frac{1}{2}(a+b)h-b*h-\frac{\pi r^{2} }{2\\}[/tex]

=[tex]\frac{1}{2}(25+15)24-13*16-\frac{\pi (15/2)^{2} }{2\\}[/tex]

= 183.6 [tex]cm^{2}[/tex]

The dimension of the box is 50in by 10in by 15in

The volume of an object is the quantity of substance it contains.

The formula for calculating the volume of the box is expressed as:

V = lwh

where:

Given the following parameters

length = 5w
height = w + 5

Substiute

7500 = 5w(w)(w+5)
7500 = 5w²(w+5)
1500 = w³+5w²
w³+5w² - 1500 = 0

Factorize to determine the width

On factorizing, the width of the box is 10 inches

Recall that:

l = 5w
l = 5(10)

l = 50inches

Get the height

h = w + 5
h = 10 + 5
h = 15inches

Hence the dimension of the box is 50in by 10in by 15in

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hi hope this is what you were looking for, hope this helps.

Answer:

a. 144m

b. After 2 secs

c. Ball hits the ground after 5 secs.

d. 128m

Step-by-step explanation:

A To find max height, find derivative of equation, let it equal zero, and sub in value into original equation: h(t) = -16t² + 64t + 80 h'(t)=-32t+64 -32t+64=0 32t=64 t=2 h(2) = -16(2²) + 64(2) + 80 h(2) = -64+128+80 = 144m B When h=144, t=2. Therefore, the ball reaches its max height after 2 secs. C When the ball hits the ground, h=0: -16t² + 64t + 80=0 t²-4t-5=0 (simplified) (t-5)(t+1)=0 t=5 and t=-1 Discount t=-1 (time cant be neg). Ball hits the ground after 5 secs. D Find h when t=1: h(t) = -16t² + 64t + 80 h(1) = -16(1²) + 64(1) + 80 h(1) = -16+64+80 h(1) = 128m.

If Boyce had started investing when he was 20 the amount he would have more than he does in his retirement savings would be b. $321,946.93.

First convert the interest to a monthly rate:

= 4% / 12 months

= 1 / 3 %

Period:

= (63 - 34) x 12 months a year

= 348 months

Amount saved:

= Amount x ( (1 + rate) ^ number of periods - 1) / rate

= 450 x ( (1 + 1/3%)³⁴⁸ - 1 ) / 1/3%

= $294,811.07

If he started saving at 20, the number of periods would be:

= (63 - 20) x 12

= 516 months

Amount saved:
= 450 x ( (1 + 1/3%)⁵¹⁶ - 1 ) / 1/3%

= $616,758

The difference is:

= 616,758 - 294,811.07

= $321,946.93

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If we start at zero and move a units to the right, and then move the same number of units to the left, we will be back at 0. We can also represent this symbolically. Since a and b are the same distance from zero but are on opposite sides of zero, we know that they are opposites, so b = -a

Answer:

If we start at zero and move a units to the right, and then move the same number of units to the left, we will be back at 0. We can also represent this symbolically. Since a and b are the same distance from zero but are on opposite sides of zero, we know that they are opposites, so b = -a.

Answer:

a=84.25cm

Step-by-step explanation:

Answer:

38.08 m²

Step-by-step explanation:

Given:

Formula:

[tex]\text{Area of trapezium} = \dfrac{\text{Sum of parallel sides}}{2} \times \text{Height}[/tex]

[tex]\implies \text{Area of trapezium} = \dfrac{\text{Sum of parallel sides}}{2} \times \text{Height} \\\\\\ \implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \dfrac{\text{10.8 + 2.8}}{2} \times 5.6[/tex]

[tex]\\\\\\\implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \dfrac{\text{13.6}}{2} \times 5.6 \\\\\\ \implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = {\text{13.6}} \times 2.8 \\\\\\ \implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \boxed{38.08 \ \text{m}^{2}}[/tex]

Answer:

Q = 61.56°

Step-by-step explanation:

cos ∅ = adjacent/hypotenuse

cos Q = 10/21

cos Q = 0.4762

Q = 61.56°

Answer:

16

Step-by-step explanation:

Use the method of PEMDAS (Parenthesis, Exponent, multiplication, division, addition and then subtraction.)

When using this order you would do 10-9 first

23 + 5 * (10-9) - 12

23+ 5 * 1 - 12

then 5 times 1

23 + 5 * 1 - 12

23 + 5 - 12

then 23 + 5 and subract 12 from the solution

23 + 5 - 12

28 - 12 =

16

Answer:

28.26 ft²

Explanation:

[tex]\sf area \ of \ circle = \pi r^2[/tex]

Here given diameter: 6 ft

radius: d/2 = 6/2 = 3 ft

========

area of rug:

[tex]\dashrightarrow \ \pi (3)^2[/tex]

[tex]\dashrightarrow \ 9\pi[/tex]

[tex]\dashrightarrow \ 9(3.14)[/tex]

[tex]\dashrightarrow \ 28.26 \ ft^2[/tex]

Answer:

[tex]\underline{\underline{28.26 \ \text{feet}^{2}}}[/tex]

Step-by-step explanation:

Step-1) Determine the radius of the rug:

Given diameter: 6 feet

Substitute the diameter to obtain the radius of the rug.

Step-2) Find the area of the rug by substituting the radius in the formula:

Area of circular rug  = πr²

                                  = [tex]\pi (3)^{2}[/tex]

                                  = [tex]\pi (3)(3)[/tex]

                                  = [tex]\pi(9)[/tex]

Substituting π as 3.14 (Stated in comments):

                                  = [tex](3.14)9[/tex]

                                  = [tex]\underline{\underline{28.26 \ \text{feet}^{2}}}[/tex]

Answer:

2010

Step-by-step explanation:

I do not think so

Answer:

An exponent is a number that is to a certain value, like 5^2.

The ^2 means multiply by itself by itself ONCE,

so it would be 5x5.

5^3 means multiply it by itself TWO TIMES,

and going on and on.

Let's say you have a test and the question it's asking is to simplify 5^4.

It's 5x5x5x5, multiplying it by itself FIVE TIMES.

Hope this helped!

Answer: 48

Step-by-step explanation:

Answer:

$ 2 per 100g,

Step-by-step explanation:

100g = 1/6 of 600g so:

Cost per 100g = 12 * 1/6

= $ 2.

Answer:

$2

Step-by-step explanation:

12 divided by 6

Answer:

11, 15, 20

Step-by-step explanation:

[tex]there \: would \: be \: 11 \: between \: 4 \: and \: 9 \\ 4 + 11 = 15 \\ 11 + 9 = 20 \\ 20 + 15 = 35 \\ \: please \: rate \: brainliest[/tex]

The numbers in the grid are:

4     11     9

  15     20

     35

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4 + x = a _____(1)

9 + x = b ______(2)

And a + b = 35

From (1) and (2),

4 + x = a

9 + x = b

13 + 2x = a + b   ( Adding )

Now,

13 + 2x = a + b

13 + 2x = 35

2x = 22

x = 11

Thus,

4     11     9

  15     20

     35

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Answer:

From what I can actually read:

Step-by-step explanation:

289 x 76= 21946

25 x 68= 1700

36 x 75= 2700

200 x 60= 12000

200 x 70= 14000

683 x 18= 12294

548 x 63= 34524

629 x 8= 5032

529 x 37= 19537

548 x 63= 34524

100 x 10= 1000

551 x 64= 35264

456 x 12= 5472

42 x 8= 336

68 x 14= 952

And it dosen't matter if you have a multi- numberd equation, because either way you can use a calculator to do the math. and a trick for multiplying by 10 or 100 or 1000: is lets say you have 5 x 1000, instead of doing any math just multiply 1 x 5= 5 then add 3 zero's because 1000 has 3 zeros. You can do this with any number like 10,100,1000,10000 ; you could go on forever.

Answer:

2 = 22

3 = 19

5 = 13

6 = 10

Step-by-step explanation:

To help with future questions, take whatever is for the x and plug it into the equation

Answer:

22,19,13,10

Step-by-step explanation:

First, Replace the x in the equation with parenthesis (), then inside of the () put the x value in the table so it would look like: y=28-3(2). Then solve by multiplying 2 by 3 so you have y=28-6. Then just subtract 6 from 28 to get 22. Rinse and repeat for the rest of the values. Your first value will be 22, second 19, third 13, and lastly 10. Hope this helps!

Answer:

The second method is correct because in the first method she eliminates a solution by dividing through by x and assuming she graphed correctly, the solutions she gave are correct.

Step-by-step explanation:

Answer:

Yes she's correct

Step-by-step explanation:

Let's check

Cancel one x

Another root is 0

So as a quadratic equation it's correct

Suppose that the number u were thinking about is x thus :

[tex] \frac{1}{4} x + \frac{1}{2} x = 12 \\ [/tex]

Multiply both sides by 4

[tex]4 \times ( \frac{1}{4} x + \frac{1}{2} x) = 4 \times 12 \\ [/tex]

[tex]x + 2x = 48[/tex]

[tex]3x = 48[/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{48}{3 } \\ [/tex]

[tex]x = 16[/tex]

Answer:

g[f(x)] = 6x² + 8x - 25

Step-by-step explanation:

g[f(x)] = g(3x² + 4x - 7)

= 2(3x² + 4x - 7) - 11

= 6x² + 8x - 14 - 11

= 6x² + 8x - 25

Answer:

x = 4 mm

y = 15 mm

Step-by-step explanation:

x = 12 mm / 3 = 4 mm

y = 3 × 5 mm = 15 mm

Let's use some identities to help us solve

    [tex]x = 4 cos(t)\\\frac{x}{4} =cos(t)\\\\y = 5sin(t)\\\frac{y}{5} =sin(t)[/tex]

We know -->  [tex]sin^2(t)+cos^2(t) = 1[/tex]

So:

   [tex]\frac{y^2}{5^2} +\frac{x^2}{4^2}=1\\ \frac{x^2}{16} +\frac{y^2}{25} =1[/tex]

Thus the choice is the second choice

An equation is formed of two equal expressions. The correct option is B.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given two of the equations which can be rewritten as shown below,

x = 4 cos(t)

x/4 = cos(t)

Squaring both sides of the equation,

x²/16 = cos²(t)

y = 5 sin(t)

y/5 = sin(t)

Squaring both sides of the equation,

y²/25 = sin(t)

y²/25 = sin²(t)

Adding the two of the given equations we will get,

(x²/16) + (y²/25) = cos²(t) + sin²(t)

(x²/16) + (y²/25) = 1, this is because cos²(x) + sin²(x) = 1

The rectangular form of the parametric equations x=4cos(t)and y=5sin(t) is (x²/16) + (y²/25) = 1.

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Answer:

x = 24.0

Step-by-step explanation:

We will need to use one of the trigonometric ratios to find x.  

If we use 58 as the reference angle, we can use tan to find x, as [tex]tan=\frac{opposite}{adjacent}[/tex]

[tex]tan (58)=\frac{x}{15}\\ 15*tan(58)=x\\x=24.005\\x=24.0[/tex]

Answer:

A. Volume

Step-by-step explanation:

Volume is how much space is in a substance so that means it is A

Answer:

Volume

Step-by-step explanation:

The amount of space that a substance or object occupies is called Volume.

[tex]\sin \angle F~~= \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\~~~~~~~~~~~~=\dfrac{GE}{EF}\\\\~~~~~~~~~~~~=\dfrac 2 3\\\\\implies \angle F=\sin^{-1} \left(\dfrac 23} \right)=41.8^{\circ}\\\\\text{Hence the measure of angle F is}~ 41.8^{\circ}[/tex]