An inverse variation includes the point (5,10). Which point would also belong in this inverse variation?

Answer:

[tex]Area = 336\ m^2[/tex]

Step-by-step explanation:

If the ratio of the sides is 13:14:15, we can say that the length of each side is 13x, 14x and 15x.

Then, if the perimeter is 84 m, we have:

[tex]P = 13x + 14x + 15x = 84[/tex]

[tex]42x = 84[/tex]

[tex]x = 2[/tex]

The length of each side is:

[tex]13x = 26\ m[/tex]

[tex]14x = 28\ m[/tex]

[tex]15x = 30\ m[/tex]

Now, to find the area of the field, we can use the following formula:

[tex]Area = \sqrt{p(p-a)(p-b)(p-c)}[/tex]

Where a, b and c are the sides and p is the semi perimeter:

[tex]p = P/2 = 42\ m[/tex]

So we have that:

[tex]Area = \sqrt{42(42-26)(42-28)(42-30)}[/tex]

[tex]Area = 336\ m^2[/tex]

Answer:

[tex]Vol=883.6875\,\, cm^3\\[/tex]

Step-by-step explanation:

Recall that the volume of a whole sphere is given by the formula:

[tex]Vol_{sphere}=\frac{4}{3} \pi\,R^3[/tex]

then, the volume of a semi-sphere would be half of the formula above:

[tex]Vol=\frac{2}{3}\, \pi\,R^3[/tex]

Now, the radius R is given by half of the semi-sphere diameter: 15/2 = 7.5 cm.

which makes our calculation:

[tex]Vol=\frac{2}{3}\, \pi\,R^3=\frac{2}{3}\, \pi\,(7.5\,cm)^3=883.6875\,\, cm^3\\[/tex]

Answer:

The graph g(x) is vertically shrunk by a factor of 1/9.

Step-by-step explanation:

Parent Graph: f(x) = a√(bx - c) + d

Since we are only modifying a, we are dealing with vertical shrink (a < 1) and stretch (a > 1). Since 1/9 < 1, we have a vertical shrink by a factor of 1/9.

The correct description is:

"The graph of g(x) is shrunk vertically by a factor of 1/9"

There are two types of dilations.

Vertical dilation:

For a function f(x), a vertical dilation of scale factor k is written as:

g(x) = k*f(x).

Where if k > 1, we have a dilation, if 0 < k < 1, we have a contraction.

Horizontal dilation:

For a function f(x), a horizontal dilation of scale factor k is wrtten as:

g(x) = f(x/k).

Where if k > 1, we have a dilation, if 0 < k < 1, we have a contraction.

Here we have:

So we can see that g(x) is a vertical contraction of scale factor 1/9.

Then the correct option is:

"The graph of g(x) is shrunk vertically by a factor of 1/9"

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Answer:

Step-by-step explanation:

The required value of y = 192°.

In a circle angle angle of arc x =168°. Angle of arc y is to be determine.

The angle can be defined as line inclined over other line by certain measure called angle.

Here, a circle has angle= 360°
x +y =360°
y = 360°-x
y = 360°-168°
y = 192°

Thus, the required value of y = 192°.

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Answer:

He needs just 13 pages

That is round up to not more than 20 pages will be the smallest

Step-by-step explanation:

Vincent wants to put 75 photograph in an album.

And a full page holds 6 photo graphs.

If 6 photographes is one page

Then 75 photographes =( 75*1)/6

75 photographes = 75/6

75 photographes= 12.5

12.5 pages will hold 75 photographes but nothing like 12.5 pages.

To the nearest page = 13 pages

Answer:

Tim needs to finish 59/90

Step-by-step explanation:

Add together what Evan Claire and Jaya ran  

9/10 + 7/9+ 2/3

The common denominator is 90

9/10 (9/9) +7/9 *10/10  + 2/3 *30/30

81/90 + 70/90 + 60/90

211/90

We need 3 km = 3 *90/90 = 270 /90

270/90 - 211/90 = 59/90

Answer:

D)

Step-by-step explanation:

Use desmos in the future to help you determine if all of those coordinate make a straight line.

Answer:

x = 35/22

y = 3/22

Step-by-step explanation:

y= 2/5x-1/2 ................(1)

y=-1/3x+2/3 ...............(2)

10*(1)

10y = 4x -5 ...................(1A)

3*(2)

3y = -x +2  ....................(2A)

To find intersection, solve for y & x

4(2A) + (1A)

12y+10y = -4x+4x +8-5

22y = 3

y = 3/22

Substitute in (1)

3/22 = 2/5x -1/2

multiply by 110

15 = 44x - 55

70 = 44x

x = 70/44 = 35/22

Answer:

5.5

Step-by-step explanation:

Picture Proof

Answer: 5.5 : ) ~ Hope you have a great day!

Answer:

x = 12

m(∠B) = 45°

Step-by-step explanation:

Given question is incomplete; find the complete question in the attachment.

In the figure attached two lines 'l' and 'm' are the parallel lines and line 'n' is a transverse.

Angles A and B are the "Alternate exterior angles" which will equal in measure.

m(∠A) = m(∠B)

(5x - 15) = (2x + 21)

5x - 2x = 15 + 21

3x = 36

x = 12

Since, m(∠B) = (2x + 21)

                     = (2×12) + 21

                     = 24 + 21

                     = 45°

Therefore, x = 12 and measure of angle B will be 45°.

Answer:

a: 3

b. 6973568802

Step-by-step explanation:

a₁ = 6 , r = 3 , a₂₀ =?

Result:

a₂₀ = 6973568802

Explanation:

To find a₂₀ we use the formula

aₙ = a₁ · r ^ⁿ⁻¹

In this example we have a₁ = 6 , r = 3 , n = 20. After substituting these values to above

formula, we obtain:

aₙ = a₁ · r ^ⁿ⁻¹

a₂₀ = 6 · 3 ^²⁰⁻¹

a₂₀ = 6 · 1162261467

a₂₀ = 6973568802

Answer:

37.57 + 1.95x

Step-by-step explanation:

The cost of the shoes is a constant, and we don't know how many socks she bought, but we know that for every pair of socks she bought, they cost would be 1.95. Since we haven't been given the total cost of the purchase, meaning how much the total was, this will be an expression. We will multiply an x against the amount (1.95), which will calculate the price for how many socks were purchased. This means the answer will be 37.57 + 1.95x.

I will clarify a little bit more on why the other answers are incorrect. The first option is 37.57x + 1.95. This is incorrect because the question is not asking how many shoes were bought, but it is questioning how many socks were bought. Option number two states 37.57x + 1.95x. This means that the number of socks and shoes are both unknown, and the question does not state that. Also, another point to make would be that we could also add these variables together, and we do not want that. Option number three states 37.57 + 1.95 + x. X cannot be a separate variable, because by stating that, it means that there would be one more object that was bought that is unknown. I hope this helps you understand my explanation a bit more.

Have a great day, and best of luck for your math problem!

Answer:

0.667

Step-by-step explanation:

According to Bayes theorem:

Since there are three cards, the probability that the side is green = 1/3

For the first card, if one side is green, the probability that the other side is also green = 1 (both sides are green)

For the second card, if one side is green, the probability that the other side is also green = 0 (both sides are red)

For the third card, if one side is green, the probability that the other side is also green = 1/2 (one side is green and the other side is red)

[tex]P(G_k/A)=\frac{P(G_k)P(A/G_k)}{\Sigma_{i=1\ to\ m} P(G_i)P(A/G_i)} \\P(B_1/A)=\frac{P(G_1)P(A/G_1)}{P(G_1)P(A/G_1)+P(G_2)P(A/B_2)+P(G_3)P(A/G_3)}\\ P(B_1/A)=\frac{1/3*1}{(1/3*1)+(1/3*0)+(1/3*1/2)=\frac{1/3}{1/2} }=0.667[/tex]

Answer:

Rs216.98

Step-by-step explanation:

If Rs230 is including the 6% tax then 230 = 106%

230 / 106 = 1% = 2.1698

2.1698 X 100 = 100% = 216.98

The original price of a packet of biscuits will be Rs216.98.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the original price of a packet of biscuits bought for Rs230 including 6% tax.

The original price will be calculated as below:-

If Rs230 is including the 6% tax then 230 will be equal to 106 percent as below:-

230 = 106%

Then 1 percent will be equal to the ratio of 230 and 106 as below,

1% = 230 / 106= 2.1698

Divide 230 by 106 and to calculate the original price multiply by 100.

2.1698 X 100 = 100% = Rs216.98

Therefore, the original price of a packet of biscuits will be Rs216.98.

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Answer:

[tex]\frac{(a-b)^2+b^2}{a^2}[/tex]

which agrees with the first choice (A) in your list of possible answers

Step-by-step explanation:

Notice that the area of the outer square is given by the square of it side [tex](a)[/tex].Then the outer area is given by: [tex]a^2[/tex]

Now, the inner square's area we calculate by subtracting from the outer area four equal right angle triangles (those shaded in grey in the figure provided). Each of such right angle triangles have an area given by the general formula of a triangle's area:

[tex]Area_{triangle}= \frac{base\,*\,height}{2} =\frac{(a-b)\,b}{2} =\frac{ab-b^2}{2}[/tex]

Therefore the internal square's area is:

[tex]a^2-4\frac{ab-b^2}{2} =a^2-2ab+2b^2[/tex]

And then the quotient of this are over the larger square area becomes:

[tex]\frac{a^2-2ab+2b^2}{a^2} =\frac{a^2-2ab+b^2+b^2}{a^2}=\frac{(a-b)^2+b^2}{a^2}[/tex]

Answer:

1st one

Step-by-step explanation:

I don't do explanations just answer it mate.

Answer:

hi! your answer should be C. CA ≈ EC

Step-by-step explanation:

"C." just makes the most sense. CA and EC are equal lengths. A, B, and D are not equal. So it has to be C. Hope this helps :)

Answer:

Volume of cone = 37.7m^3

Answer:  A,B,D,C

Step-by-step explanation:

Hi, to answer this question we have to analyze each expression:

Assuming x is the number of years, we have to calculate each equation for x =1:

A = 110 (0.70)^X = 110 (0.70)^1= 77

B = 140 (1.07)^X= 140 (1.07)^1 = 149.8

C =430 (1.90)^x=430 (1.90)^1= 817

D = 310 (1.14)^x= 310 (1.14)^1= 353.4

Comparing the sales:

77(A) < 149.8 (B) <353.4 (D) < 817(C)

So, the correct option is:

A,B,D,C

Answer:

Figure D does not have line of symmetry

Answer:

You are correct, it is D

Step-by-step explanation:

x = 4 is the answer because the y coordinate is zero and at x axis it intersects at 4..

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Answer:

x=5 is the answer

Step-by-step explanation:

hope this helped

Answer:

the function has two real roots and crosses the x axis in two places.

Step-by-step explanation:

Using the general quadratic formula;

[tex]x = \frac{-b\pm \sqrt{b^2 -4ac}}{2a}[/tex]

for a quadratic equation

[tex]ax^2 +bx+c=0[/tex]

given the quadratic function below;

[tex]G(x) = -x^2 +4x+2[/tex]

the roots of the equation can be calculated by applying the quadratic formula.

[tex]x = \frac{-4\pm \sqrt{4^2 -(4*-1*2)}}{2*-1}\\x = \frac{-4\pm \sqrt{16 -(-16)}}{-2}\\x = \frac{-4\pm \sqrt{32}}{-2}\\x = 4.449 \\or\\x = -0.449\\[/tex]

Therefore, the function has two real roots and crosses the x axis in two places.

Attached is the graph of G(x) for more understanding.

Answer:

2

Step-by-step explanation:

(y2-y1) / (x2-x1)

(10-2) / (3-(-1))

8/(3+1)

8/4

2

Answer:

2

Step-by-step explanation:

(x¹, y¹) (x², y²) = (-1,2) (3,10)

Slope = (y²-y¹) ÷ (x²-x¹)

= (10 - 2) ÷ (3 -(-1))

= 8 ÷ 4

= 2

Answer:

4 is the answer to your question

Step-by-step explanation:

Answer:

  z = 1.58n

Step-by-step explanation:

To find the total amount (z), the cost of a bag (1.58) must be multiplied by the number of bags (n).

  z = 1.58n

Answer:

1.58 times the number of bags you're buying will give you how much money it all is: z=1.58n

Answer:

A

Step-by-step explanation:

To determine if a point lies on the curve, substitute the x- coordinate into the equation. If the value obtained is equal to the y- coordinate then the point lies on the curve, that is

A

y = ([tex]\frac{3}{2}[/tex] )² = [tex]\frac{9}{4}[/tex] ≠ [tex]\frac{9}{2}[/tex] ← not on line

B

y = (- 1)² = 1 ← lies on line

C

y = 4² = 16 ← lies on line

D

y = ([tex]\frac{1}{2}[/tex] )² = [tex]\frac{1}{4}[/tex] ← lies on line

Answer:

0.89.

Step-by-step explanation:

So, we are given the following data or parameters or information which is going to aid in the solution to this question or problem. So, the data or parameters are;

(1). "probability 0.7 of having no claims, 0.2 of having exactly one claim, and 0.1 of having exactly two claims."

(2). " distributed on the interval [0,60] and are independent."

(3). "The insurer covers 100% of each claim."

So, taking (1) above we will have;

(Total probability= 0.7 + 0.2 + 0.1 = 0.1)

A = { (0.7 × 0)^2 + (0.2 × 1)^2 + ( 0.1 × 2)^2 =( 0.4) +( 0.4) = 0.8.

0.8 + total probability = 0.8 + 0.1 = 0.9.

So, from the question, we are to "Calculate the probability that the total benefit paid to the policyholder is 48 or less."

Hence, P< 48/A = P < 48/0.9 = P < 53.33.

Thus, 53.33/60 = 0.89.

Answer:

20 cm^2.

Step-by-step explanation:

If the scale factor is 2 each of the sides of the figure will be increased by a factor 2.

So each side will have a length of 2 * 1 = 2 centimeters.

It will consist of 5 squares of dimension 2*2 =  an area of 4 cm^2

So the area of the new cross  is 5*4 = 20 cm^2.

We can also calculate the area directly by multiplying  by 2^2 ( the scale factor)squared.)

The original area = 5 so the area of the enlarged figure = 5 * 2^2 = 20 cm^2.

Answer: 50 grams of fat

Step-by-step explanation:

From the question, we are informed that one serving of pretzels contains 1.5 grams of fat which is 3% of the daily amount recommended for a 2,000 calorie diet.

This means that we are expected to find the grams of fat for 100%. Since one serving of pretzels contains 1.5 grams of fat which is 3%, this means 1% will contain (1.5/3) = 0.5 grams of fat.

Therefore the grams of fat that are recommended will be:

= 100 × 0.5

= 50 grams of fat

Answer:

50 grams of fat

1.5 / 3 = 0.5

0.5 x 100 = 50

Step-by-step explanation:

Answer:

The answer is "[tex]2^3 \times 3^2 \times 5 \times 7\\\\[/tex]"

Step-by-step explanation:

Given:

2520

Prime factor=?

Prime factor of 2520 is:

[tex]= 2 \times 2 \times 2\times 3\times 3 \times 5 \times 7\\\\= 2^3 \times 3^2 \times 5 \times 7\\\\[/tex]

Answer:

[tex]62.4$ cm^2[/tex]

Step-by-step explanation:

The net of the triangular pyramid is attached below.

Since each of the faces is an equilateral triangle of side 6cm, the base of the pyramid will also be an equilateral triangle of side lengths 6cm .

In the equilateral triangles

Therefore, the surface area of the pyramid formed from the net shown

= 4 X Area of One Triangular Face

[tex]=4 (\frac12 \times bh)\\=4 (\frac12 \times 6\times 5.2)\\=4(15.6)\\=62.4$ cm^2[/tex]