Write eight and fifteen hundredths in decimal notation

These aren't too hard -- you should really try to do them yourself.

The upper triangle has base 2+2=4 and height 3.2.  The lower one has base 4 and height 4.  Of course the area of a triangle half base times height.

Area = (1/2) 4(3.2) + (1/2)(4)(4) = 2(7.2) = 14.4

Answer: 14.4 sq ft

Answer:

[tex]x^{4}[/tex] - 4x³ - 5x²

Step-by-step explanation:

-x²(-x² + 4x + 5)         Distribute

[tex]x^{4}[/tex] - 4x³ - 5x²

If this answer is correct, please make me Brainliest!

Answer:35/24

Step-by-step explanation:

7/12 ➗ 2/5

Next step we change divide sign to multiplication,with the numerator and denominator of the right hand fraction inverted

7/12 x 5/2

(7x5)/(12x2)

35/24

The quotient of 7/12 divided by 2/5 is 35/24.

To divide fractions, you need to multiply the first fraction by the reciprocal (or the multiplicative inverse) of the second fraction.

The reciprocal of a fraction is obtained by swapping the numerator and the denominator.

So, to find the quotient of 7/12 divided by 2/5, you multiply 7/12 by the reciprocal of 2/5, which is 5/2.

Here are the steps:

Write down the first fraction: 7/12

Write down the reciprocal of the second fraction: 5/2

Multiply the first fraction by the reciprocal: (7/12) x (5/2)

Multiply the numerators: 7 x 5 = 35

Multiply the denominators: 12 x 2 = 24

Simplify the fraction, if possible: 35/24

Therefore, the quotient of 7/12 divided by 2/5 is 35/24.

Learn more about fraction click;

https://brainly.com/question/10354322

#SPJ6

Answer:

64 people can fit in the theater.

Step-by-step explanation:

If 60% is full then calculate how many people is it

[tex] \frac{60}{100} \times 160 = 96 \\ 160 - 96 = 64[/tex]

64 is 40% of 160

So this many people can be accommodated in the theater

Answer:

64 more people can fit in the theater

Step-by-step explanation:

You need to find 60% of 160

10%=16 (divided by 10)

16×6=96

160 (total people)-96(60%)=64

Answer:

vertex(-6,-3)

Step-by-step explanation:

x^2+12+36-36+26

(x+6)^2-10

v=(-6,-10)

Answer:

1.6%

Step-by-step explanation:

Solve for r

40,000=(2,500,000)(r/100)(1)

40,000=(25,000)r

r=40,000/25,000

r=1.6

Answer:

true

Step-by-step explanation:

.

Answer:

B. Yuri divided by n instead of n-1

Step-by-step explanation:

It was stated in the question that the dataset was sample dataset. For a sample dataset, the standard deviation is given by the formula,

σ = √ Σ (Xi - mean)²/(n - 1) where i = 1,2,3.....n

Since this is just a sample dataset and not the whole population, Yuri should have divided by n-1 instead of n.

Answer:

B.

Step-by-step explanation:

(Here's Answers for the Quiz I did so far!)

1. Abby is collecting rainfall data.

Answer: B.

2. The Monthly Mean Salaries

Answer: A.

3. The Number of Cars at a Dealer Ship

Answer: A. (6.9)

4. The Mean Set of Credit Card Scores.

Answer: C. (720)

Answer:

I am not I understand the game but

1. 17 doesn't belong cause it a prime number and doesn't dived with any of the other numbers and double digit

2. 4 divides with 216 and 8 and single digit similar to 8

Step-by-step explanation:

Answer:

V^2 - 11/8

Step-by-step explanation:

8(V^2 - x) =11

V^2 = 11/ 8 + X

X= V^2 - 11/8

Answer:

x= - [tex]\frac{11}{8}[/tex]+[tex]\sqrt{2[/tex]

Step-by-step explanation:

Distribute the 8, which becomes.... 8[tex]\sqrt{2}[/tex] - 8x = 11

Move the numbers to one side.... -8x= 11-8[tex]\sqrt{2}[/tex]

Divide by -8.......- [tex]\frac{11}{8}[/tex]+[tex]\sqrt{2[/tex]

Answer:

D: 8 and 2 and then 8 and 6.

Step-by-step explanation:

Corresponding angles are angles in the same position at an intersection of lines. For example, some of the corresponding angles in this picture are 1 and 7, and 8 and 2. Alternate interior angles are angles that are on the opposite sides of a transversal but are on the inner sides. For example, 8 and 6 and 7 and 5. If you look at all the options and use process of elimination, D will be the only possible answer. For A, 1 and 2 are not corresponding angles, as they are on opposite sides of the same line. For B, 4 and 6 are not alternate interior angles. They are vertical angles, congruent angles mirrored on the opposite side. For C, 7 and 2 are not corresponding angles, as they are not in the same relative position. Therefore, D is the only answer left. 8 and 2 are corresponding angles: they are both on the right side of the lines next to them. 8 and 6 are alternate interior angles, since they are on the opposite sides of the line, but on the inside.

Answer:

[tex]\widehat{GF}=49[/tex] degrees

Step-by-step explanation:

In the figure attached, EG is the diameter of the circle and a point F is located on the circle.

Measure of [tex]\widehat{GF}[/tex] = 8.5 inches

Radius HF = 10 inches

Formula to get the length of arc = [tex]\frac{\theta}{360}\times (2\pi r)[/tex]

8.5 = [tex]\frac{\theta}{360}(2\pi)(10)[/tex]

θ = [tex]\frac{360\times 8.5}{20\pi }[/tex]

  = 48.7°

  ≈ 49°

Since central angle = measure of the intercepted arc

Therefore, [tex]\widehat{GF}=49[/tex] degrees will be the measure of the given arc GF.                                  

Answer:

Correct answer is [tex]C)\ 254\ m^{2}[/tex]

Step-by-step explanation:

As per the given diagram, we know the following details:

Height of the triangular pyramid is 14m.

Side of base = 10m

Height of Triangular base = 8.7m

Formula for surface area of triangular pyramid:

[tex]\text{Area = Area of Triangular base + 3 }\times\text{Area of side triangle}[/tex]

(Triangular base is shown in the dotted lines in the question figure.

The other 3 triangles are the side triangles.)

We know that,

[tex]\text{Area of a triangle = }\dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

[tex]\Rightarrow \text{Required Surface Area = } \dfrac{1}{2} \times 8.7 \times 10 + 3 \times \dfrac{1}{2} \times 14 \times 10\\\Rightarrow \dfrac{1}{2}\times (87 + 3 \times 140)\\\Rightarrow \dfrac{1}{2}\times (87 + 420)\\\Rightarrow \dfrac{1}{2} \times 507\\$\approx$ 254 m^{2}[/tex]

Hence correct answer is [tex]C)\ 254\ m^{2}[/tex].

Answer: 12

Step-by-step explanation: 35 - 23

Answer:

https://brainly.com/question/16425127

Step-by-step explanation:

Answer:

Step-by-step explanation:

a(1) = 10(.1)^1 = 1

a(2) = 10(.1)^2 = 10(0.01) = 0.1

a(3) = 10(.1)^3 = 10(0.001) = 0.01

a(4) = 0.001

a(5) = 0.0001

Answer:

Step-by-step explanation:

Today's Age = 30

Retirement Age = 64

Total Monthly Deposits = ( 64 - 30 ) * 12 = 408

In case of 12% Compounded Monthly , Interest Rate per month = ( 12% / 12 ) = 1%

Effective Interest Rate per year = ( 1 + 0.12/12 )12 - 1 = 1.1268 - 1 = 0.1268 = 12.68%

Present value of Annual 25 Years withdrawal of $100,000 at time of Retirement = $100,000 * PVAF ( 12.68% , 25 )

= $100,000 * 7.4864

= $748,642.20

Present Value of Money for nephew at time of Retirement = $1,000,000 * PVF ( 12.68% , 25 )

= $1,000,000 * 0.050535

= $50,534.52

Now the Present Value of total Amount Required at time of Retirement = $748,642.20 + $50,534.52

= $799,176.70

Now the monthly deposit be X

= X * FVAF ( 408 , 1% ) = $799,176.70

= X * 5752.85 = $799,176.70

X = $138.918

Therefore Monthly Deposit = $138.92

Answer:1/2

Step-by-step explanation:

It is 1/2 because 50 percent is the aquarium and the other 50 percent is unknown.

Answer:

THere will be 8 heads and 2 tails

Step-by-step explanation:

I don't know

Answer: [tex]p=12[/tex]

Step-by-step explanation:

[tex]6*\frac{2}{4}=p*\frac{1}{4}[/tex]

Solve the multiplication on the left side.

6 and 4 can be simplified.

6/2=3

4/2=2

Leaving it like;

[tex]3*\frac{2}{2}=p*\frac{1}{4}[/tex]

2 and 2 is 1 and 3 times 1 is 3.

[tex]3=p*\frac{1}{4}[/tex]

Multiply by 4 to eliminate the fraction and isolate p.

[tex]4*3=p*\frac{1}{4}*4\\12=p[/tex]

Answer:39.6x + 26.4

Step-by-step explanation:

length=3x+2

Width=13.2

area of rectangle=length x width

area of rectangle=(3x+2) x 13.2

area of rectangle=13.2(3x+2)

area of rectangle=39.6x + 26.4

Answer:

39.6x + 26.4

Step-by-step explanation:

13.2 (3x + 2)

Multiply each term in the parentheses by 13.2.

13.2 × 3x + 13.2 × 2

Multiply the numbers.

39.6x + 13.2 × 2

39.6x + 26.4

39.6x + 26.4

Answer: P=250n-2750

Step-by-step explanation:

The profit function of the boathouse is given as follows p = 250n- 2750.

The profit function is a mathematical function that reflects a company's or business's profit as a function of the number of products or services produced and sold.

The revenue generated by the boathouse with n boats is given by the monthly fee per boat multiplied by the number of boats, which is $900n.

The total cost to operate the boathouse with n boats is the fixed cost of $2750 plus the variable cost of $650 per boat, which is $2750 + $650n.

Therefore, the profit function of the boathouse is given by the revenue minus the cost:

p = 900n - (2750 + 650n)

Simplifying this expression, we get:

p = 250n - 2750

Thus, the answer is (c) p = 250n - 2750.

Learn more about the profit function here:

https://brainly.com/question/29106570

#SPJ5

Answer:

Step-by-step explanation:

5(4)+ 3

20+3

23

Answer:

The 12 represents area of base of cuboid.

The 5 represents height of cuboid.

Step-by-step explanation:

Given:

DeAndre calculated the volume of the cuboid in three ways:

V= 12.5

V= 15.4

V=20.3

To find: what the 12 and the 5 represent in the figure

Solution:

Volume of cuboid is equal to length × breadth × height

or Area of the base of cuboid × height

Length = 4 units

Breadth = 3 units

So, area of base of cuboid = length × breadth = 4 × 3 = 12 square units

Height of cuboid = 5 units

The 12 represents area of base of cuboid.

The 5 represents height of cuboid.

Answer:

To find a common denominator of two fractions, you have to find a number that both denominators of the given fractions will divide into. And to find a common multiple, you have to find a number that both given numbers will divide into.

Step-by-step explanation:

Answer:

To find a common denominator of two fractions, you have to find a number that both denominators of the given fractions will divide into. And to find a common multiple, you have to find a number that both given numbers will divide into.

Step-by-step explanation:

Answer to the perimeter

2 x (5 + 13)

Answer:

2 x (5+13)

Step-by-step explanation:

To find the perimeter of a rectangle you must add all the side lengths. For the rectangle that is displayed, there are 2 sides that measure 13 cm and two that measure 5 cm. Therefore, you should get your answer by adding the 5 cm and the 13 cm, then, multiply the solution by 2 to get your answer.

Answer:

= 1696m^3

Step-by-step explanation:

V = πr²h

= 3.14 x 6 x 6 x 15

= 3.14 x 540

= 1695.6 m^3

= 1696m^3

Answer:

What about it? If you need to know how much that is per km, it would be about $2.27 per km

Step-by-step explanation: