Which expressions are equivalent to ? Choose all the correct answers. Show your work.

Answer:

Step-by-step explanation:

B and C is crorect answer tha ks

The mass of the object which is at 3 meters off the ground (earth assumingly), with the potential energy of 150 joules is given by: Option C: 5.10 kg

Gravitational potential energy is the energy which a body posses because of its position.

The gravitational potential energy of a body is given as,

[tex]U=mgh[/tex]

Here, (m) is the mass of the body, (g) is the gravitational accelaration and (h) is the height of the body.

Here, for the second object, we have:

Let its mass be m kg, then:

[tex]U=mgh\\\\150 = m(9.8)(3)\\\\m = 50/9.8 \approx 5.10 \: \rm kg[/tex]

Thus, the mass of the object which is at 3 meters off the ground (earth assumingly), with the potential energy of 150 joules is given by: Option C: 5.10 kg

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The probability helps us to know the chances of an event occurring. The probability of winning a small prize in the carnival is 35.714%.

The probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that there is a total of 56 ducks floating in the pond, out of which 20 ducks are marked as small-prize winners. Therefore, the probability of winning a small price can be written as:

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\\\\rm Probability=\dfrac{\text{Nnmber of small price ducks}}{\text{Total number of ducks}}\\\\\\Probability = \dfrac{20}{56} = 0.35714 = 35.714\%[/tex]

Hence, the probability of winning a small prize in the carnival is 35.714%.

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Answer:

should be a. took the test and It was horrible. I remember trying and forgot how to do everything beother

Step-by-step explanation:

no balls

[tex]Given: Statement\\ To\ find: Correct\ optician\\ tan\theta=\frac{2}{30\sqrt{13}}[/tex]

[tex]sin\ B=\frac{2}{33}[/tex]

[tex]sin A=\frac{1}{7}=\frac{30\sqrt{13}}{3311}=\frac{3\sqrt{13}}{11}[/tex]

I hope this helps you

:)

Answer:

y=-4x-3

Step-by-step explanation:

Hi there!

We are given the following two points: (-2,5) and (-1,1)

We want to write the equation of the line that passes through these two lines in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, let's find the slope

The formula for the slope (m) calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to calculate the slope, but let's label the value of the points to avoid any confusion

[tex]x_1=-2\\y_1=5\\x_2=-1\\y_2=1[/tex]

Now substitute into the formula

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{1-5}{-1--2}[/tex]
Simplify

m=[tex]\frac{1-5}{-1+2}[/tex]

Subtract

m=[tex]\frac{-4}{1}[/tex]

Divide

m=-4

Now substitute -4 as m into the equation:

y=-4x+b

Now we need to find b

As the equation passes through both (-2, 5) and (-1, 1), we can use either point to help solve for b.

Taking (-2,5) for example:

Substitute -2 as x and 5 as y:

5=-4(-2)+b

Multiply

5=8+b

Subtract 8 from both sides

-3=b

Substitute -3 as b.

y=-4x-3

Hope this helps!

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Answer:5cm

Step-by-step explanation: Area =length × breadth

Volume = length ×breadth ×height

180= Area ×height

180 = 36×h

180÷36=h

Ans 5

Answer:

The circumference is 125.7cm

Answer:

Picture so I can solve it

Using the slope concept, it is found that the horizontal distance from the base of the skyscraper out to the ship is of 961.6 feet.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem:

Hence:

[tex]\tan{48^\circ} = \frac{1068}{x}[/tex]

[tex]x = \frac{1068}{\tan{48^\circ}}[/tex]

x = 961.6

The horizontal distance from the base of the skyscraper out to the ship is of 961.6 feet.

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144 Inches or 12 Feet

Step-by-step explanation

7 feet converted to inches is 84 So 84+60=144

And if you convert 60 inches into feet it would be 5

Answer:

144 inches

Step-by-step explanation:

1 ft = 12 inches

7 ft = 12 x 7 inches

7ft = 84 inches

Ice path you are floating on = 84 inches

other ice path = 60 inches

all together = 84 + 60

=> 144 inches

Hope this helps!

Answer:

1440 square inches of fabric

Step-by-step explanation:

Answer:

1440 square inches of fabric

Step-by-step explanation:

Solve for 1 banner

Area of 1 banner:

12*20/2

12*10

120.

12 banners,

12*120

= 1440 square inches of fabric

(or other types of material)

Answer:

2/3 lemon's per cup.

Step-by-step explanation:

10÷15=2÷3 .

Please give me brainliest.Thank you. :-):-)

Answer:

don't use this this is just a guess but I think that it is the lowest possible one so A It coulld be wrong

Step-by-step explanation:

E

Step-by-step explanation:

The total score of Melissa and Tomas who are playing a game with complex numbers is 8-2i.

A complex number is the combination of real and imaginary number. It can be written as,

[tex]a+bi[/tex]

Here, (a) is a real number and (b) is an imaginary number.

Melissa and Tomas are playing a game with complex numbers.  Melissa has a score of 5 – 4i and Tomas has a score of 3 2i. The sum of their score is,

[tex]S=5 -4i +(3+2i)\\S=5+3-4i+2i\\S=8-2i[/tex]

Hence, the total score of Melissa and Tomas who are playing a game with complex numbers is 8-2i.

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Answer:

8-2i

Step-by-step explanation:

c

To have the same number of pennies in both sides, we should add 6 pennies, so Charlotte is correct.

We want to have the same number of pennies on both sides, on one side we have 23 pennies, and in the other 17. So we will add x pennies to the last side, such that we get:

23 = 17 + x

This is a linear equation. To solve it, we need to isolate the variable x, we can do that by subtracting 17 in both sides:

23 - 17 = 17 + x - 17

6 = x

This means that the solution is 6, so we should add 6 pennies, meaning that Charlotte is correct.

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Answer:

x = 8.67 and y = 10

Step-by-step explanation:

In right angled triangle

cos 60⁰ = 5/y

1/2 = 5/y

y = 10

in right angled triangle,

tan 60⁰ = x/5

√3 = x/5

x = 5√3 = 5 × 1.73 = 8.65

x = 8.67

Answer:

1.A , 2.B , 3.D , 4.B , 5.C

Step-by-step explanation:

hope this helped! :)

Answer:

(a) 10.3

(b) 11

Step-by-step explanation:

(a) Step 1: mean is the average of a set of numbers. Add them all together and then divide by how many numbers you were given

11+12+5+11+8+13+12 = 72

Step 2: There are 7 numbers so you divide 72 by 7

72/7 = 10.28

(a) The mean equals 10.3

(b) Step 1: Median is the middle number in a list of numbers. Line the numbers up in order and find the middle one.

5, 8, 11, 11, 12, 12, 13

(b) the median equal 11

Answer: 14 Animals

Step-by-step explanation: Made of 3 dogs and 11 Cats

Dogs( 11-8)

Answer:

7/-13 + 4/-13 = -7/13 - 4/13 = - 11/13

Answer:

Option 1: 43π feet

Step-by-step explanation:

We are given that:

encloses garden with circular fence

garden measures 43 feet across = diameter

To find how much fencing is needed, we have to find the cicumference of the circular fence using the formula:

C = 2πr

C = Circumference

r = radius = half the diameter

We are given the diameter, so we just do half of it to get the radius

43 ÷ 2 = 21.5

r = 21.5

Now we substitute this into the formual:

C = 2πr

Substitute radius into formula

C = 2π(21.5)

Multiply 2 and 21.5

C = 43π

Answer:

Part A=7

Part B=7

Step-by-step explanation:

Part A = 7+9=16

Part B = 4 times 7= 28

The range of the frame width for the considered case is 0.5 (feet), because for this case, it can be at max of 0.5 feet, and at minimum of 0 feet.

For a set of data, the range is the difference between the maximum and minimum value. It sort of gives an idea of spread of the data.

For this case, we're given that:

Perimeter of a rectangle = 2(length + width)

Let 'l' denotes length, and 'w' denotes width, then we get:

[tex]Perimeter \leq 4\\2(l+w) \leq 4\\2(1.5 + w) \leq 4\\\\\text{Dividing both the sides by 2}\\\\1.5 + w \leq 2\\\\\text{Subtracting 1.5 from both the sides so as to get 'w' on one side}\\\\w \leq 0.5[/tex]

Now since the lowest value of width of a frame can be zero only, therefore, we get:

[tex]0 \leq w \leq 0.5[/tex]

Thus, the range of values 'w' can assume is: 0.5 - 0 = 0.5

Thus, the range of the frame width for the considered case is 0.5 (feet), because for this case, it can be at max of 0.5 feet, and at minimum of 0 feet.

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Answer:

The answer is (A) or 3/4.

Step-by-step explanation:

By plugging in a through d, the only one that gave an acurate answer was A.

2(6-2x) - 2x = 2(5+x)-4

turns into

2(6-2[3/4]) - 2[3/4] = 2(5+[3/4]) -4

Hope this helps!

Answer:

Step-by-step explanation:

In the question we're given with an equation i.e.,

And we are asked to find the value of x .

Solution :

[tex] \longmapsto \: 2 ( 6 - 2x ) - 2x = 2 ( 5 + x ) - 4 [/tex]

Step 1 : Solving parenthesis by multiplying it with 2 on both the sides :

[tex] \longmapsto \: 12 - \bold{4x} - \bold{2x} = \bold{10} + 2x - \bold{4}[/tex]

Step 2 : Adding like terms on left hand side and subtracting like terms on right hand side :

[tex] \longmapsto \: 12 - 6x = 2x + 6[/tex]

Step 3 : Transposing 12 to right hand side and 2x to left hand side :

[tex] \longmapsto \: -2x - 6x = 6 - 12[/tex]

On further calculations we get :

[tex] \longmapsto \: \cancel{ - }8x = \cancel{- }6[/tex]

Step 4 : Transposing 8 to right hand side :

[tex] \longmapsto \: x = \frac{\cancel{6}}{\cancel{8}} [/tex]

Step 5 : Cancelling 6/8 to their simplest form :

[tex] \longmapsto \: \pink{\boxed{x = \frac{3}{4} }}[/tex]

Answer:

Step-by-step explanation:

Answer:

3x2+9x−5

Step-by-step explanation:

You just have to add the like terms

Answer:

3x² + 9x - 5

Step-by-step explanation:

Group like terms:

3x² + 6x - 10 + 3x + 5

3x² + 9x -5

hope this helps :)

Answer:

Angle A = 45 degrees

Angle B = 64 degrees

Angle C = 60 degrees

Hope this helps!

Answer:

y = 3/2x - 1/2

all steps explained in pic attached below :)