Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36

The expression which is equivalent to 8x²√375x + 2³√3x^7 if x = 0 is; 0.

According to the task content, the expression given is; 8x²√375x + 2³√3x^7.

On this note, it follows that when x=0 is substituted into the expression; the evaluation amounts to zero, 0.

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Answer: 80 square units

Step-by-step explanation:

[tex]A=(8)(10)=80[/tex]

Answer:

22 millilitres of 13% solution

23 millilitres of 19% solution

Step-by-step explanation:

A + B = 45

13A + 19B = 45 x 17 = 765

-13A - 13B + 13A + 19B = -650 + 765 = 115

5B = 115

B = 23

22 + 23 = 45

A = 22

Answer:

55

Step-by-step explanation:

Draw a line through the center (horizontally).

Then draw a vertical line through the vertex of the right angle.

You'll get 2 triangles

I'll let you figure this out, it pretty easy

Remember a straight angle add up to 180 degrees, a triangle adds up to 180 degrees.

Answer:

Zero

Step-by-step explanation:

Since the line is a horizontal line, the slope does not change.  The slope is zero.

Answer:

Zero

Step-by-step explanation:

A zero slope is when the line is horizontal and when the slope equals to zero

I hope it helps! Have a great day!

bren~

Answer:

d: y=5x

Step-by-step explanation:

Since we know a few points: (2,10), (3,15), (4,20), we can use two of them to first find the slope. The equation for the slope is (Increase in y)/(increase in x).

1. Slope between (2,10) and (3,15) is 5/1 which is 5. So the slope will be 5.

2. With the slope, we know that our equation will be: y=5x+b. To find b, we can replace x and y with another point. 20 = 5(4)+b. --> 20 = 20 +b. Now we know that b equals 0.

Our final equation will be y = 5x.

RECHECKING!

I'll recheck whether my answer is right or not using Desmos (A online graphing calculator).

I added an image down below, and I drew the points in blue. This shows that since the graph crosses all three points, it is correct.

WHY y=1/5x IS NOT CORRECT (based on your comments)

If you look at the points, the relationship between x and y is not 1/5. If you multiply something from x, it should become 10.

--> 2 times __ = 10

--> 3 times __ = 15

--> 4 times __ = 20

And clearly, __ will be 5. If it becomes 1/5, we won't get the right number of y.

This is why y=1/5 is not correct.

Hope this helps!

Answer:

x^7y^9

Step-by-step explanation:

Remembering the laws of indices and applying BODMAS

(x^6y^8)^3/x^2y^2

(x^6 * y^8)^3/x^2 * y^2

opening bracket

we get;

x^6+3 * y^8+3/x^2 * y^2

x^9 * y^11/x^2 * y^2

Applying law of indices at which when the values are the same during division we pick one coefficient and minus the power

therefore;

x^9-2 * y^11-2

x^7 * y^9

=x^7y^9

The ordered pairs (5 , -2) , (3 , 1) , (4 , 2) are in the set of the solution (Option C)

An ordered pair is a composite of the x coordinate (abscissa) and the y coordinate (ordinate), with two values expressed between parenthesis in a predetermined order.

It aids visual comprehension by locating a point on the Cartesian plane.

The first line has negative slope and passing through points (0 , 0) and (4 , -2)

That is y > (-1/2)x

The second line has positive slope and passing through points (-2 , 0) and (2 , 2)

That is: y < (1/2)x + 1.

- Refer to the accompanying diagram to discover the common component of the solutions.

- The inequity is shown by the red shading.

- The inequity is shown by the blue shading.

- The two-colored shaded area reflects the common solutions to the two inequalities.

- Let's discover the ordered pairs in the system of linear inequalities' solution set.

- Points (-4, 2), (-3, 1), (4, -3) define the common shaded area.

- Points (5, -2), (3, 1), (3, -1) (4 , 2)

As a result, Point (5, -2) is in the darkened region.

As a result, Point (3, 1) is in the darkened area.

As a result, Point (4, 2) is in the darkened area.

As a result, the ordered pairings (5, -2), (3, 1), (4, 2) are in the solution set.

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9 hundredths is greater than 8 thousandths by 82 thousandths

From the question, we are to determine how much greater 9 hundredths is than 8 thousandths

9 hundredths = 9/100 = 0.09

8 thousandths = 8/1000 = 0.008

Then,

0.09 - 0.008 = 0.082

= 82/1000

≡ 82 thousandths

Hence, 9 hundredths is greater than 8 thousandths by 82 thousandths

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1. 1/2

2.2/3

3. 1

4. 1/3

5. 2/7

6. 1/4

7. 4/3

8. 3/2

To find 2x of the vale of x, we have to multiply the value of 'x' by 2

1. x = 1/4

[tex]2x = 2 * \frac{1}{4}[/tex] ⇒ [tex]\frac{2}{4}[/tex] ⇒[tex]\frac{1}{2}[/tex]

2. x = 1/3

[tex]2x = 2 * \frac{1}{3}[/tex] ⇒[tex]\frac{2}{3}[/tex]

3. x = 1/2

[tex]2x = 2* \frac{1}{2}[/tex] ⇒ [tex]\frac{2}{2}[/tex] ⇒ [tex]1[/tex]

4. x= 1/6

[tex]2x = 2* \frac{1}{6}[/tex] ⇒ [tex]\frac{2}{6}[/tex] ⇒ [tex]\frac{1}{3}[/tex]

5. x = 1/ 7

[tex]2x = 2 * \frac{1}{7}[/tex] ⇒ [tex]\frac{2}{7}[/tex]

6. x = 1/8

[tex]2x = 2 * \frac{1}{8}[/tex] ⇒ [tex]\frac{2}{8}[/tex] ⇒ [tex]\frac{1}{4}[/tex]

7. x = 2/3

[tex]2x = 2 * \frac{2}{3}[/tex] ⇒ [tex]\frac{4}{3}[/tex]

8. x = 3/4

[tex]2x = 2 * \frac{3}{4}[/tex] ⇒ [tex]\frac{6}{4}[/tex] ⇒ [tex]\frac{3}{2}[/tex]

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Answer:

second option : π/2 or pi/2

Step-by-step explanation:

sinθ = 1 = 90

π = 180

π/2 = 90

https://www.mathsisfun.com/geometry/radians.html

The two digit number larger than 40 and lesser than 50, and the difference between the ones and tens digits gives the two digit number as 41

Let XY represent the two digit number;

From the question, we have the following inequalities and equations;

Therefore;

Which gives;

Y = 1

X = 4

Therefore;

The two digit number, XY = 41

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The computation shows that the values are 64000 acres and 563 metric tons.

1. A 100 square mile area of national forest is how many acres?

1 mile square = 640 acres

100 square miles = 100 × 640 = 64000 acres.

2. Fifty eight thousand kilograms of solid waste is equivalent to how many metric tons?

1 metric ton = 103kg

58000 kg = 58000/103 = 563 metric tons

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Based on the fact that the shop still made a 40% profit on the concept xi bicycle, the original listing price must have been $1,600.

assuming the list price is x, the formula would be:

800 x 1.40 = (x × 0.7)

solving gives:

1,120 = 0.7x

x = 1,120 / 0.7

= $1,600

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Based on the information given, the total money that is expected Kaydance save is $70300

It is known she started saving $100 and each year she saves $100 more than the previous year. Also she will save a total of 36 years. This will be equal to:

100+200+300+400+500+600+700+800+900+1000+1100+1200+1300+1400+1500+1600+1700+1800+1900+2000+2100+2200+2300+2400+2500+2600+2700+2800+2900+3000+3100+3200+3300+3400+3500+3600+3700

100+200+300... = $70300

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The function that describes the fund that was raised is 0.05³ - 30x - 12425

The revenue is  R (z) = 0.05x³ + 75

the cost = C(z) = 30x + 12,500.

Please note that the equation for revenue missed a sign in the question so I made use of the plus sign

We would have revenue - cost

Hence ( 0.05x³ + 75) - (30x + 12,500)

We would open the bracket

0.05x³ + 75 -30x -12500

We would take the like term to

0.05³ - 30x -12500 + 75

0.05³ - 30x - 12425

The function that describes the fund that was raised is 0.05³ - 30x - 12425

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Answer: F(x)=0.05x^3-30x-12,575

Step-by-step explanation:

Correct on test.

Reduce the numbers in the list modulo 3 to get the set

{1, 2, 0, 1, 2, 0, …, 1, 2, 0}

containing [tex]k[/tex] copies each of 1, 2, and 0.

Take any 3 elements from the list. Their sum is divisible by 3 if those elements' residues also sum to 3 ≡ 0 (mod 3). To get a sum of 0, we must make one of the following choices:

0 + 0 + 0 ≡ 0 (mod 3)

1 + 1 + 1 ≡ 3 ≡ 0 (mod 3)

2 + 2 + 2 ≡ 6 ≡ 0 (mod 3)

0 + 1 + 2 ≡ 3 ≡ 0 (mod 3)

There are

[tex]\dbinom k3 \dbinom k0 \dbinom k0 = \dfrac{k(k-1)(k-2)}6[/tex]

ways of choosing 3 elements with a given residue and 0 elements with any other residue, hence

[tex]3\dbinom k3\dbinom k0\dbinom k0 = \dfrac{k(k-1)(k-2)}2[/tex]

ways of choosing any 3 elements with the same residue, and there are

[tex]\dbinom k1 \dbinom k1 \dbinom k1 = k^3[/tex]

ways of choosing any 3 elements with distinct residues.

So, the total number of ways of making the selection is

[tex]3\dbinom k3\dbinom k0^2 + \dbinom k1^3 = \boxed{\dfrac32 k^3 - \dfrac32 k^2 - k}[/tex]

[tex]\frac{3}{4}[/tex] gallons of water fill the bin.

Given: Nancy left a bin outside in her garden to collect rainwater.

She notices that 1 over 2 gallons of water fills 2 over 3 of the bin.

To Find: Write and solve an expression to find the amount of water that will fill the entire bin.

Let's say the amount of  Water to  fill the bin  = W gallon

Equate both:

[tex]\frac{2W}{3} =\frac{1}{2}[/tex]  is the expression to find the amount of water that will fill the entire bin.

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

Therefore, [tex]\frac{3}{4}[/tex] gallons of water fill the bin.

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Answer: 12

Step-by-step explanation:

Let's say that the length needed to be found is x
As the two lengths of both triangles are parallel to one another, we can use the equation to find x
6/x = (6+4)/20

6/x = 1/2

x = 12

Answer: x-y

Step-by-step explanation:

If x>y, then [tex]x-y > 0[/tex].

So, [tex]|x-y|=x-y[/tex]

The solution of the expression  |x-y| if x>y without using absolute value notation is  (x - y).

A collection of constants, variables or numbers connected using one or more arithmetic operator is called an expression

Example = 4y, 3x+4

The absolute value of any number or expression is always positive.

An expression that is either less than or greater than is called as inequality.

Given expression,  |x-y| and the given inequality is x>y.

When x is greater than y, the difference between x and y is already positive.

So, the expression will be (x-y).

So, if x > y, then |x - y| = (x - y).

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Answer:

2p-9>

Step-by-step explanation:

Answer:(x-1)(x^2+x+1) / (x+1)(x-1)

Step-by-step explanation:

For x^3-「1」→ 1=1^3

For x^2-「1」→ 1=1^2. this way of thinking might help you understand better:)

You can just use a formula of factorizationヾ ^_^♪

Answer:

60 local calls

Step-by-step explanation:

Total price minus the long-distance charges: 54.35 - 8.35 = $46.00

46 minus the fixed per month cost: 46-31 = $15

15 divided by the cost of each local call: 15/0.25 = 60 calls

Answer:

C

Step-by-step explanation:

using the addition formula for sine

sin(A + B) = sinAcosB + cosAsinB

note that [tex]\frac{7\pi }{12}[/tex] = [tex]\frac{\pi }{3}[/tex] + [tex]\frac{\pi }{4}[/tex] , then

sin [tex]\frac{7\pi }{12}[/tex]

= sin([tex]\frac{\pi }{3}[/tex] + [tex]\frac{\pi }{4}[/tex] )

= sin[tex]\frac{\pi }{3}[/tex]cos[tex]\frac{\pi }{4}[/tex] + cos[tex]\frac{\pi }{3}[/tex]sin[tex]\frac{\pi }{4}[/tex]

= ( [tex]\frac{\sqrt{3} }{2}[/tex] × [tex]\frac{\sqrt{2} }{2}[/tex] ) + ([tex]\frac{1}{2}[/tex] × [tex]\frac{\sqrt{2} }{2}[/tex] )

= [tex]\frac{\sqrt{6} }{4}[/tex] + [tex]\frac{\sqrt{2} }{4}[/tex]

= [tex]\frac{\sqrt{2}+\sqrt{6} }{4}[/tex]

The correct option is c. 7

The summation of the expression  [tex]\sum_{i=1}^{3}\left(4\left(\frac{1}{2}\right)^{i-1}\right)[/tex]  is 7.

The sum of terms that follow a pattern is denoted by the symbol '∑' "summation," which also serves as a shorthand notation.

A sum of several terms is typically represented by the symbol "∑" This symbol is typically accompanied with a variable index that includes all terms that must be taken into account when calculating the total.

The given expression is;

[tex]\sum_{i=1}^{3}\left(4\left(\frac{1}{2}\right)^{i-1}\right)[/tex]

The the property of summation, expand the values.

[tex]\sum_{i=1}^{3}\left(4\left(\frac{1}{2}\right)^{i-1}\right)=4\left(\frac{1}{2}\right)^{1-1}+4\left(\frac{1}{2}\right)^{2-1}+4\left(\frac{1}{2}\right)^{3-1}[/tex]

[tex]\sum_{i=1}^{3}\left(4\left(\frac{1}{2}\right)^{i-1}\right)=4\left(\frac{1}{2}\right)^{0}+4\left(\frac{1}{2}\right)^{1}+4\left(\frac{1}{2}\right)^{2}[/tex]

[tex]\sum_{i=1}^{3}\left(4\left(\frac{1}{2}\right)^{i-1}\right)=4\left(\frac{1}{1}\right)+4\left(\frac{1}{2}\right)+4\left(\frac{1}{4}\right)[/tex]

[tex]\sum_{i=1}^{3}\left(4\left(\frac{1}{2}\right)^{i-1}\right)=4+2+1\\[/tex]

[tex]\sum_{i=1}^{3}\left(4\left(\frac{1}{2}\right)^{i-1}\right)=7\\[/tex]

Therefore the solution of the given equation is 7.

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The correct question is;

What is the value of [tex]\sum_{i=1}^{3}\left(4\left(\frac{1}{2}\right)^{i-1}\right)[/tex] ?

a.7/8

b.8

c.7/2

d.7

Answer:

  D.  264 in³

Step-by-step explanation:

The missing edge dimension can be found using the Pythagorean theorem. Then the volume can be found using the appropriate formula.

The missing dimension and the two given for the top triangle will satisfy the Pythagorean theorem. If the missing dimension is represented by 'a', then we have ...

  a² +8² = 10²

  a = √(100 -64) = 6 . . . . inches

The area of the top triangle is ...

  A = 1/2bh . . . . where b and h are the base and height dimensions

  A = 1/2(6 in)(8 in) = 24 in²

The volume of the triangular prism is ...

  A = Bh . . . . . where B is the area of the triangular base, and h is the prism height

  A = (24 in²)(11 in) = 264 in³

The volume of the triangular prism shown is 264 in³.

The length of BD is √182

The given parameters are:

AD = 7

DC = 26

BD = x

The side lengths are represented by the following ratio:

7 : x = x : 26

Express as fraction

7/x = x/26

Cross multiply

x^2 = 182

Take the square roots

x = √182

Hence, the length of BD is √182

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Answer:

The length of BD is √182

hope this helps :)

The better way to calculate the amount of substance is Volume.

According to the statement

we have to find the all information about the soup cans.

So we know that if we put a liquid in the container then in that case surface area is not important but a volume is more important for this purpose.

So, That's why The weight in the case of soup is not important when evaluating a package to be able to sell the product. A container is usually specified according to its volume, especially those containing liquids. Because the weight can vary concerning the concentration of the product, the best way to calculate the amount of substance to be packaged is the volume.

So, The better way to calculate the amount of substance is Volume.

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The goals does the team score in total in the first 9 matches of the competition is 36 and  their mean number of goals after 10 matches is 3.9.  

Given that the mean number of goals a netball team scores per match in the first 9 matches of a competition is 4.

Thus the average of the goals in 9 matches is 4.

Total number of goals is = 9*4 = 36 goals .

Given that the team scores 3 goals in their next match .

Thus the total number of goals scored in 10 matches is 36 + 3 = 39 goals,

Required mean = Total goals / 10 matches .

∴ Required mean = 39/10 = 3.9 .

Therefore, the goals does the team score in total in the first 9 matches of the competition is 36 and  their mean number of goals after 10 matches is 3.9.  

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When you are bisecting AB using a string and you have secured the strong at point A to be more than half of AB, the next step is to C. Make an arc on AB from point A and another arc from point B .

If you are using a string, the first step is the secure that string at point A because the string will be used for the bisecting.

After the string is secured, take the length to just a little more than half of line AB.

Once that is done, use the string to make an arc on line AB from the top to bottom.

Unsecure the string and take it to point B. Once secured in point B, repeat the process done with point A.

This would bisect the line using a string.

In conclusion, option C - Make an arc on  AB from point A and another arc from point B is correct.

Options for this question include:

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