Mariah converted the following equation into standard form.

25x2 + 25y2 – 200x + 100y + 4 = 0
25x2 – 200x + 25y2 + 100y = –4
25(x2 – 8x) + 25(y2 + 4y) = –4
25(x2 – 8x + 16) + 25(y2 + 4y + 4) = –4 + 16 + 4
25(x – 4)2 + 25(y + 2)2 = 16


She identified the conic as a circle with a center (4, –2) and a radius r = 4. What error, if any, did Mariah make?

Mariah did not make an error.
Mariah listed the center incorrectly. The center should be (–4, 2).
Mariah should have added 400 and 100 to the right side of the equation in step 4
Mariah factored incorrectly in step 5. She should have factored to (x – 8)2 and (y + 4)2.

Answer:

30+15=45

45-25=20

The contestants final score is 20

Step-by-step explanation:

Answer:

25/5

Step-by-step explanation:

i really doubt in both of 'em

Answer:

DAC

Step-by-step explanation:

Since the sides of the quadrilateral are parallel, the opposing angles will equal to each other. Therefore, you can divide the parallelogram as two congruent triangles.

Hope this helped :)

Answer:

hunm well DCA?

Step-by-step explanation:

that's what I think

Answer:

Step-by-step explanation:

AB = BG

10 = 7+x

x = 3

9514 1404 393

Answer:

  162.46 square units

Step-by-step explanation:

The area of a sector of arc b (in radians) is ...

  A = 1/2r²b

  A = (1/2)(9.6²)(202·π/180) = 162.46 . . . square units

Problem 3

-----------------------------

Explanation:

It doesn't matter what shape the base is, so the fact it's a hexagon isn't useful info here. What is useful is that the area of the base is 25 square inches.

We multiply this base area by the height, and then divide by 3 to get the volume of the pyramid.

V = (BaseArea*height)/3

V = (25*9)/3

V = 75 cubic inches

==========================================================

Problem 4

The approximate volume is found by using pi = 3.14

-----------------------------

Explanation:

We apply this formula to find the volume of a cone

V = (1/3)*pi*r^2*h

In this case, r = 12 is the radius (half the diameter) and h = 30 is the height.

So,

V = (1/3)*pi*12^2*30

V = (1/3)*pi*4320

V = (1/3)*4320*pi

V = 1440pi ...................... exact volume in terms of pi

V = 1440*3.14

V = 4521.6 ....................... approximate volume if you use pi = 3.14

==========================================================

Problem 5

-----------------------------

Explanation:

Mary's cube has side lengths of 5 inches, so the volume of this cube is 5*5*5 = 5^3 = 125 cubic inches.

James then wants to triple the side lengths of her cube to have a new larger cube that has side lengths of 3*5 = 15 inches. The volume of this new larger cube is going to be 15*15*15 = 15^3 = 3375

To compare the two volumes, we'll divide the larger over the smaller

(larger volume)/(smaller volume) = (3375)/(125) = 27

This number 27 is due to cubing the value 3, ie 3^3 = 3*3*3 = 27

So the larger cube is 27 times larger compared to the smaller cube.

As another example, let's say he wanted to only double the side lengths. This would mean the larger volume is 8 times larger, since 2^3 = 2*2*2 = 8. Whatever the linear scale factor is, cube it and you'll get the volume scale factor.

Answer:

So what exactly is the question? bc it doesn't actually show a question

Step-by-step explanation:

divide 470 by 299 and then that should be your answer on the number of skiers

9514 1404 393

Answer:

  yes, the triangles are congruent -- by the SAS congruence postulate

Step-by-step explanation:

Two sides and the angle between them are marked congruent, so the Side-Angle-Side (SAS) congruence postulate applies.

The two triangles are SAS congruent.

First, reflect the triangle across x

Then translate the triangle 1 unit to the right and 9 units down

Answer:

244.80 If I'm not wrong.

Step-by-step explanation:

Add all of the deductions together and subtract them by 880

By using g00gle I found out that 195.82 + 63.60 + 134.64 + 176.00 = 635.24.

So now you subtract it by her salary down below:

880.00 - 635.24 = 244.76  

244.80 or 245 if I'm not wrong

Cindy's net income on each paycheck  will be $244.76.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given;

Federal income taxes: $195.82

State income taxes: $63.60

Insurance: $65.18

FICA: $134.64

Retirement plan: $176

Add all of the deductions together;

195.82 + 63.60 + 134.64 + 176.00 = 635.24.

So now we will subtract it by her salary down below:

880.00 - 635.24 = 244.76

Hence,  Cindy's net income on each paycheck  will be $244.76.

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Answer:

Yes

Step-by-step explanation:

It is symmetrical on the y-axis so must be.

Answer:

correct

Step-by-step explanation:

Answer: The product of a b and c is 0.

Step-by-step explanation:

The given expression : [tex]2xy^{-2}{4xy^2}[/tex]

[tex]=2\times4x^{1+1}y^{-2+2}\ \ \ \ [\text{Property of exponents: } a^m\times a^n=a^{m+n}][/tex]

[tex]=8x^2y^0[/tex]

When we compare this to [tex]ax^by^c[/tex], we get a=8, x=2, y=0

The product of a, b and c = [tex]a\times b \times c[/tex]

[tex]=8\times2\times0\\\\=0[/tex]

The product of a b and c is 0.

Answer:

14.00

Step-by-step explanation:

399.99x3.5%=14.00

Answer:

1/35

Step-by-step explanation:

1/5*7 = 1/35

Answer:

D. Circumference/Diameter = π

hope this helps. good luck :)

Answer:

the fourth option

Step-by-step explanation:

the equation for circumference is C = [tex]\pi[/tex]d, so C/d = [tex]\pi[/tex]

Answer:

a d

Step-by-step explanation:

Answer:

..............................

Step-by-step explanation:

Answer:

Step-by-step explanation:

This line has positive slope and the y-intercept is -5, shaded area is below the line, covers the areas:

This line has negative slope and the y-intercept is -3, shaded are is below the line, covers the areas:

Solution of the system is the intersection of the areas:

Answer:

If the complement of an angle is 25 degrees, then the measurement of the angle will be 65 degrees.

Answer:

-5x-30

I'm kinda tired rn so I just multiplied 5 with everything in the ()

Let n = number of gum packs he buys.

After he starts with 30, spends 12, then spends 4n, he must have at least 0 remaining. So:

[tex]30-12-4n\geq 0[/tex]

Simplify by subtracting 30-12:

[tex]18-4n\geq 0[/tex]

Subtract 18 from both sides:

[tex]-4n\geq -18[/tex]

Divide both sides by -4 (flip the sign when you multiply or divide by a negative):

[tex]n\leq 4.5[/tex]

You can only buy a whole number of gum packs, so:

[tex]n\leq 4[/tex]

Preston can buy up to 4 gum packs, assuming his money isn't stollen my monke

Answer:

the  probability in which the buyer would roll to get two sixes is 1 ÷ 36

Step-by-step explanation:

The computation of the probability in which the buyer would roll to get two sixes is shown below:

= 1 ÷ (6 × 6)

= 1 ÷ 36

Hence, the  probability in which the buyer would roll to get two sixes is 1 ÷ 36

Answer:

a) The probability is 1/5

bi) The probability each ball is even will be 2/5

bii) The probability the sum of the numbers on the ball is not more than 10 is 16/25

(that's what I think it is)

Answer:

28

Step-by-step explanation:

28 times 2 = 56

28 times 1 = 28

56 + 28 = 84

The area would be 6.25 sq.cm

A square is a 2D figure with equal-sized sides on each side. The area would be length times width, which is equal to side side because all the sides are equal.

The area of a square exists defined as the total number of unit squares in the constitution of a square. In other words, it is described as the space occupied by the square.

Given a = 2 1/2 =  2.5cm

area = 2.5*2.5 = 6.25 sq. cm

Hence, The area would be 6.25 sq.cm

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Answer:

Question 1: in the same direction as the force

Question 2: trying to push a rock that never moves

Question 3: 750 J

Question 4: the distance over which the force is applied

Question 5: The force a person applies to a simple machine

Question 6: 1st Class

Question 7: True

Question 8: pair of tweezers

Question 9: True

Question 10: Watts (W)

Question 11: potential energy

Question 12: False

Question 13: True

Question 14: When it starts to fall

Question 15: Before it starts moving

Question 16: Power and watts

/force and newton

/Work and Joules

/Temperature and Celsius

/Speed and distance/time

/Velocity and displacement an time

Question 17: True

Question 18: False

Question 19: True

Question 20: Cumulus

Step-by-step explanation:

The force applied moves the object in the direction of the force. Suppose if the force is applied to the moving object in that case object moves in the direction of the stronger force. Thus, according to the given question the applied force moves the object in its direction

Work is when there is energy that is exerted throughout an object using force and action. Which displaces the measure of the force and the application of that specific action.

Given:  

Force applied F = 50 N  

Distance s = 15 m  

Find:  

Work done W  

Computation:  

Work done W = Force x distance  

Work done W = 50 x 15  

Work done W = 750 J

A Pair of tweezers is an example of a Third Class lever. The force is applied in the middle of the tweezers which causes a force at the tips of the tweezers. The fulcrum is where the two halves of the tweezers are joined together.   Whereas a pair of scissors and a pair of pliers is an example of a first class lever.

Power is the rate of using energy or the rate of doing work. Basically, any units of energy (or work) and time can be used to generate a unit of power and can be computed as Work/time. Watt is the standard metric unit of power.

We can use a case scenario to illustrate what Power is. If you take a book and lift it a meter high, you will end up doing the same amount of work regardless of whether you lift the book slowly or quickly. However, you can increase your power which is the rate of doing work when you lift the book quickly.

Power (P) is the rate at which energy is transferred or converted. Thus, power equals work divided by time (P = W / t). The SI unit of power is the watt (W), in honor of Scottish inventor James Watt (1736 - 1819)

energy which a body possesses by virtue of being in motion is kinetic

Kinetic energy is when an object has the power to move, Potential energy would be when its resting on the shelf.

Earth is surrounded by invisible gases that form a thin protective blanket that we call the atmosphere. It contains the oxygen that we breath as well as other important gases such as nitrogen, carbon dioxide, water vapor, and ozone.

The permanent gases whose percentages do not change from day to day are nitrogen, oxygen and argon. Nitrogen accounts for 78% of the atmosphere, oxygen 21% and argon 0.9%. Gases like carbon dioxide, nitrous oxides, methane, and ozone are trace gases that account for about a tenth of one percent of the atmosphere.

Weather maps show these areas using a large “H” to areas bring fair weather with clear skies, while Low pressure brings stormy weather and clouds.

Cumulus clouds look like fluffy, white cotton balls in the sky. They are beautiful in sunsets, and their varying sizes and shapes can make them fun to observe! Stratus cloud often look like thin, white sheets covering the whole sky.

Answer:

£208

Step-by-step explanation:

Given:

Height of solid box (h) = 20 cm

Width (w) = 80 cm

Length (l) = 10 cm

Cost of paint = £0.04 per cm²

Required:

Cost of painting the box

Solution:

✔️First, find the surface area of the box

Surface area = 2(l*w + l*h + w*h)

S.A = 2(10*80 + 10*20 + 80*20)

S.A = 2(800 + 200 + 1,600)

S.A = 2(2,600)

S.A = 5,200 cm²

✔️Find the cost of painting 5,200 cm² surface area of the box.

Cost of pianting 1 cm² = £0.04

Cost of painting 5,200 cm² = 5,200 × 0.04

Cost of painting the box = £208

Answer:

The answer is 25

Step-by-step explanation:

Answer:

D: 25

Step-by-step explanation:

-125/-5

First: The two negatives cancel each other out.

Second: Do positive 125/5

Third: Your answer is positive 25

Answer :

[tex]\boxed{\textsf{ The final answer is \textbf{n}$^{\textbf{3}}$ .}}[/tex]

Step-by-step explanation:

Its given that n is the middle out of the three consecutive integers . So ,

The last integer will be :-

[tex]\sf\implies Last \ Integer \ = \ n - 1 [/tex]

The next Integer will be :-

[tex]\sf\implies Next \ Integer \ = \ n + 1 [/tex]

Now the Question says that the three integers are multipled to give a product . So that would be.

[tex]\sf\implies Product_{(three\ consecutive\ integers)}= (n-1)n(n+1) = (n^2-1)(n) = \pink{n^3-n}[/tex]

Now thirdly it's given that n is added to the given integer . That would be ,

[tex]\sf\implies Adding\ n = \ n^3 - n + n = \pink{n^3} [/tex]

Here - n and +n gets cancelled. So we are ultimately left out with n³.

Hence the final number is a cube of some number.

The result is n³.

Numbers that appear in a particular order are known as consecutive numbers. Every pair of numbers has a difference of one. The mean and median of consecutive numbers are equal. In the event that n is a number, n, n+1, and n+2 would be consecutive numbers.

Given three consecutive positive integers,

and middle integer is n

the integer before n is (n - 1)

the integer after n is (n + 1)

product of three integer is

(n - 1) × n × (n + 1)

(n² - 1) × n

n³ - n

now add n in product

n³ - n + n

n³

Therefore, the result is n³.

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Answer:

1:2:2.

Step-by-step explanation:

orange : yellow : blue

= 10:20:20

= 1:2:2.