The equations 3 x minus 4 y = negative 2, 4 x minus y = 4, 3 x + 4 y = 2, and 4 x + y = negative 4 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, negative 4) and (2, 4). Blue line goes through (negative 2, 2) and (2, negative 1). The pink line goes through (negative 2, negative 1), and (2, 2). The purple line goes through (negative 2, 4) and (0, negative 4). Which is the approximate solution for the system of equations 3 x + 4 y = 2 and 4 x + y = negative 4? (–1.4, 1.5) (1.4, 1.5) (0.9, –0.2) (–0.9, –0.2)

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:

Figure D does not have line of symmetry

Answer:

You are correct, it is D

Step-by-step explanation:

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:

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:

[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]

I hope this helps you

Sphere Surface Area Formula is

4.pi.r^2

4.pi.13^2

4.pi.169

676.pi

The surface area of the sphere with radius 13 units is S = 676π units²

A sphere is a three-dimensional geometrical object that is perfectly round in shape. A sphere is a fully spherical, three-dimensional geometrical object. Every point on its closed surface is equally spaced from the centre, which is the only point on the surface.The distance from the center to any point on the surface of the sphere is known as the radius of the sphere..

Surface Area of a Sphere = 4πr²

Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

They are used to represent many natural and man-made objects such as planets, basketballs, and molecules.

Let the data be ,

Let r = 13 units be the sphere's radius.

Let S be the sphere's surface area.

And , Surface Area of a Sphere = 4πr²

On simplifying , we get

S = 4π ( 13 )²

S = 4π ( 169 )

S = 676π units²

Thus, the sphere's surface area is S = 676 units2.

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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:

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:

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:

x=-20 or x=80

Step-by-step explanation:

you can either make it so 46 remains the largest number and so take 66 from 46 (=-20) or you can leave 14 as the smallest number and add 66 to 14(=80)

Answer:

A. 12 for every 7

Step-by-step explanation:

There are 12 peas in her bowl.

There are 7 peas in her hair.

The ratio of peas in her bowl to peas in her hair is 12 for every 7.

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:

[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:

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:

Hey there!

Your answer would be x/2 - 9

Answer:

2 ÷ x - 9

Step-by-step explanation:

Quotient of two is written as = 2 ÷ x

Nine less is written as = -9

Final answer = 2 ÷ x - 9

Hope this helped! :)

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:

Volume of cone = 37.7m^3

Answer:

Step-by-step explanation:

a=10   (4,0,2,4,3,1,2,3,1,4)

b=4    (7,5,6,9)

c=6    (13,13,13,10,13,12)

d= 5   (17,16,17,17,16)

e=6    (21,23,20,20,21,23)

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:

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:

Step-by-step explanation:

Confidence interval for population proportion is expressed as

(Sample proportion ± margin of error). Thus, the sample proportion is used to estimate the population proportion. The confidence interval has lower bound and upper bound values. It does not tell probability but how confident we are. Therefore, a statement that correctly interprets the confidence interval is

C. One has 99​% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

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 = 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:

  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:

.44444444

Step-by-step explanation:

πr²=full circumference

18/π(9)²=x/2π

Answer:

AB=8 BC=17 AC=9 BD=18

Step-by-step explanation:

Okay, so A is -3 and B is 5, so the distance would be 8, because the difference between -3 and 5 is 8. The same goes for all the rest. The distance on the number line is the difference between the two numbers they represent.

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:

[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:

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:

320 people

Step-by-step explanation:

[tex]\frac{2 people}{5 people}[/tex]=[tex]\frac{x}{800 people}[/tex]

solve for x by using cross multiplication

     -multiply 2 by 800 to get 1,600

     -divide 1,600 by 5 people to get 320

your answer is 320 people