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Answer:

-350/9 (improper fraction)

-38 8/9 (mixed number)

Step-by-step explanation:

Converting to improper fractions :

    2. -8 1/3

Multiplying them :

Answer:

[tex]-38 \frac{8}{9}[/tex]

Step-by-step explanation:

[tex]3 \frac{5}{3} \times -8 \frac{1}{3}[/tex]

Convert to improper fractions:

[tex]\implies \dfrac{3 \times 3 +5}{3} \times -\dfrac{8 \times 3 +1}{3}[/tex]

[tex]\implies \dfrac{14}{3} \times -\dfrac{25}{3}[/tex]

Multiply the numerators and denominators:

[tex]\implies \dfrac {14 \times (-25)}{3 \times 3}[/tex]

[tex]\implies -\dfrac{350}{9}[/tex]

Convert back into a mixed number:

[tex]\implies -38 \frac{8}{9}[/tex]

Answer:

See below ~

Step-by-step explanation:

Let :

Two inequalities created are :

Solving

Let the people paying $15 be "x" and $25 be "y"

1st inequality

15(x) + 25(x) ⩾ $1500

2nd inequality

x + y ≤ 100

Answer:

4 years

Step-by-step explanation:

30 = 25 ( 1.05)^n

1.2 = 1.05^n

log 1.2  / log 1.05   = n years = 3.73    ~ 4 years

The mass of a thin triangular plate bounded by the coordinate axes is 3 3/4.

It should be noted that mass simply means a quantity of matter that's in a body. It's the meaure of the inertia in the body.

In this case, from the complete question, the mass will be:

= 3/1000[1/24x⁴ - 25x² + 1000/3x]

= 15/4

= 3 3/4

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Answer:

see the attachment!

i hope this can help you!

Answer:

9

Step-by-step explanation:

- 4 - ( - 13 )

= - 4 + 13

= 13 - 4

= 9

Answer:

97.92 m³ (nearest hundredth)

Step-by-step explanation:

The composite solid is a cube with a cone cut out.

Therefore, to find the volume of the solid, subtract the volume of the cone from the volume of the cube.

[tex]\textsf{Volume of a cube}=\sf s^3 \quad\textsf{(where s is the side length)}[/tex]

Given:

Substitute given value into the formula:

[tex]\begin{aligned}\implies \sf V_{cube} & = \sf 5.1^3\\& = \sf 132.651\: m^3\end{aligned}[/tex]

[tex]\textsf{Volume of a cone}=\sf \dfrac{1}{3} \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]

Given:

Substitute given values into the formula:

[tex]\begin{aligned}\sf \implies V_{cone} & = \sf \dfrac{1}{3} \pi (2.55^2)(5.1)\\& = \sf 11.05425 \pi \: m^3\end{aligned}[/tex]

[tex]\begin{aligned}\sf V_{solid} & = \sf V_{cube}-V_{cone}\\& = \sf 132.651-11.05425 \pi \\& = \sf 97.92304941...\\& = \sf 97.92 \: m^3 \: (nearest\:hundredth)\end{aligned}[/tex]

Volume of the cube

For the cone

Volume

Total volume of the figure

Step-by-step explanation:

Answer is case 1st:

P(of white button) = 9/13

P(of black button) = 4/12

Case 2nd

P(of black button) = 4/13

P(of white button) = 9/12

Explanation

Given: A Question

To find: Probability

Solution :Case 1st

If carol takes the first button is white

P(of picking a white button) = 9/13

And

P(of picking a black button) = 4/12

Case 2nd

If carol takes the first button is black

So, P(of picking a black button) = 4/13

And P( of picking a white button) = 9/12

Answer:

1- a²+b²=c²

2- 5²+12²=13²

3- 25+144=169

4- 169=169

Answer:

no

Step-by-step explanation:

sides of right triangle are in Pythagorean Theory  ex 3,4,5 or 5,12,13  0r 8,15,17

Answer:

Part A

To convert degrees to radians, multiply the given value by π/180°.

[tex]\begin{aligned}\implies 20^{\circ} & =20^{\circ} \times \dfrac{\pi}{180^{\circ}} \: \sf rad\\ & =\dfrac{1}{9} \pi \: \sf rad\end{aligned}[/tex]

Part B

Given:

[tex]\begin{aligned}\textsf{Area of a sector of a circle} & =\dfrac12 r^2 \theta\\\\\implies \textsf{Area of slice of cake} & =\dfrac{1}{2} \cdot 10^2 \cdot \dfrac{1}{9} \pi\\\\& = \dfrac{50}{9} \pi \: \sf cm^2\end{aligned}[/tex]

Part C

Given:

[tex]\begin{aligned}\textsf{Perimeter} & = 2r + \textsf{arc length}\\& = 2r + r \theta \\& = 2(10)+10\left(\dfrac{1}{9} \pi \right) \\& = 20 + \dfrac{10}{9} \pi \\& = 23.4906585\\& = 23.5\: \sf cm \:(1 \:dp)\end{aligned}[/tex]

Answer:

-4

Step-by-step explanation:

m=y2-y1/x2-x1

m=10+6/5-9

m=16/-4

m=-4

Answer: 4/-4

Step-by-step explanation:

Slope Formula= (y2-y1/x2-x1)

10-6/5-9

4/-4

Answer:

30*100/70= 42.85% chances that you will draw a Etruscan coin and same way 42.85-100= 57%

Answer:

3/23

Step-by-step explanation:

Probability (Greek) :

Answer:

c

Step-by-step explanation:

dont trust me but it seems like c

Answer:

Radius = 10

Step-by-step explanation:

Volume of a cylinder=πr^2h

1600πcm^3=πxr^2x16

π cancels out

1600=r^2x16

1600/16=r^2

100=r^2

√100=r

r=10

Answer:

16 years

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

The answers are 9, 6, 7, 0, 2, 5, 7, 1, 7, and 2 which makes the target value by putting in the blank box.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

The target number is 54

= 9×6 = 54

= 8×7 - 02

= 5×7 + 19

= 27×2 = 54

Thus, the answers are 9, 6, 7, 0, 2, 5, 7, 1, 7, and 2 which makes the target value by putting in the blank box.

Learn more about the arithmetic operation here:

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Answer:

The bottom left picture is the answer. It contains 4 equally sized parts and only has 1 shaded part, so that's 1 shaded part / 4 parts, or 1/4. The top left picture have 5 parts instead of 4 (1/5), the parts in the top right picture aren't equally sized, and the bottom right picture has 2 parts shaded instead of 1 (1/2)

Hope this helps!

Answer:

1

Step-by-step explanation:

because in 1 there is 1 dark box and 4 light box while others are irregular

Answer:

1. g(x) = (x - 1)²; translation of 1 unit to the right.

2. g(x) = 3^(x + 1) - 2; translation to the left of 1 unit and translation of 2 units down.

Step-by-step explanation:

1.

f(x) = x²

g(x) = f(x - 1)

g(x) = (x - 1)²

Since x was replaced by x - 1, g(x) is similar to f(x) with a translation of 1 unit to the right.

2.

f(x) = 3^x

g(x) = f(x + 1) - 2

g(x) = 3^(x + 1) - 2

Since x was replaced by x + 1, which is the same as x - (-1), there is a translation to the left of 1 unit. In addition, the -2 causes a translation of 2 units down.

Answer:

50 * 34%

50 * 34/100

34 / 2 = 17

Each carton of any flavour costs same

so

Total cartons:-

Total cost

Answer:

0.33

Step-by-step explanation:

36.4 divided by 109 1/5 is 0.33.

If a point divides any line segment into two equal parts, then the point is the mid-point of that line. The ratio of the whole line segment and the distance from mid-point to any end point of the line segment is always 2:1, hence the scale factor of the dilation is 2.

To find the scale factor of the dilation, we need to find the ratio from initial point of the line segment to the distance from the point that is lie on that line segment.

Following points can be concluded from the given conditions.

The ratio of the whole line segment and the distance from mid-point to any end point of the line segment is always 2:1, hence the scale factor of the dilation is 2.

To know more about the scale factor, please refer to the link:

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Answer:

I have recently learned about this and maybe I could help you if you have given the function but also let explain it.

Step-by-step explanation:

Domain is also known as pre image and also 'x' I.e first element.

Range is also known image and also y I.e second element .

And about inverse we just have to write second element at first and first element at second.

Hope it helps

Answer:

82 inches squared

Step-by-step explanation:

7*3*2 = 42

7*2*2 = 28

3*2*2 = 12

42 + 28 + 12 = 82