Consider the given graph. which TWO statements are correct?

A) the graph represents y=2/3 x

B)the graph represents y=3/2x

C)the graph represents y= -2/3x

D)the constant of proportionality is 2/3

E)the constant of proportionality is 2/3​

Answer:

-√26, 5.15, 5.2, 16/3

Step-by-step explanation:

-√26 = -5.09

16/3 = 5.33

There are no extraneous solutions when plugging -7 into x-5=2(x+1).

So extraneous solutions means the solutions that you get by solving an equation, but after you try plugging it back into your original equation, the solution does not work.

Now we have our solutions of x=7, and we just need to check whether it is extraneous or not. We can do this by taking x=1 and plugging it back into your original equation  x - 5 = 2(x + 1)

x - 5 = 2(x + 1)

-7 - 5 = 2(-7 + 1)

-12 = -14 + 2

-14 + 14

0 = 0

We end up getting that 0 = 0 which is correct,

Thus, there are no extraneous solutions.when plugging -7 into x-5=2(x+1).

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Answer:

C, he interviewed the most people.

Brainliest please!

Answer:

C. Zach's

Step-by-step explanation:

The volume of the given cuboid is 216 cubic inches

We have to find the volume of cuboid

The formula to find the volume is length times width times height

length is 9 in

width is 4 in

height is 6 in

Volume of cuboid =length ×width ×height

=9×4×6

=216 cubic inches

Hence, the volume of the given cuboid is 216 cubic inches

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Answer:

n-6

Let n represent the number

Answer:

X - 6

Step-by-step explanation:

X is a number

Answer:

\( \frac{n}{4} = 14 \\ n = 4 \times 14 \\ n = 56\)

Answer:

392

Step-by-step explanation:

times 28 by 14 and youll get 392 - may i get brainliest :)

Answer:

392 people would be in the room

Step-by-step explanation:

you do 8 times 4 which is 32 then you multiply 8 times 10= 80 add them together  112, then multiply 20 times 4= 80, finally 10 time 20=200 add all together it equals 392

Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

After answering the presented questiοn, we can cοnclude that The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape

An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpοse οf equatiοn sοlving is tο determine the value οr values οf the variable(s) that will allοw the equatiοn tο be true.

The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape. Here are sοme cοmmοn fοrmulas:

1. Rectangle:

• Area: A = length x width

• Perimeter: P = 2(length + width)

2. Square:

• Area: A = side x side (οr A = side²)

• Perimeter: P = 4 x side

3. Circle:

• Area: A = π x radius²

• Circumference (perimeter): C = 2π x radius (οr C = π x diameter)

4. Triangle:

• Area: A = (base x height) / 2

• Perimeter: P = side1 + side2 + side3

5. Trapezοid:

• Area: A = ((base1 + base2) x height) / 2

• Perimeter: P = side1 + side2 + side3 + side4

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Answer:

yes, since it takes 48 gallons of gas to go one direction to go back it is 96

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

If her daughter lives 1,650 miles away, and her gift card is for q00 miles of gas, and her car can travel 35 miles on each gallon, it would take about 47 gallons to make the 1,650 mile trip to her daughter. Leaving 53 gallons on her car.

To make the 1,650 mile trip back to her own home, it would take another 47 gallons. Since she still has 53 gallons left from her trip there, she will be able to make the trip back with still 6 gallons in her tank.

According to census the total number of male and female was 88,51,84,692, if number of male was 45,40,34,570 the number of female population is 43,11,50,122.

To find the wide variety of girl population, we will subtract the quantity of male population from the full population.

Total population = 88,51,84,692

Number of male = 45,40,34,570

Number of female = Total population - Number of male

= 88,51,84,692 - 45,40,34,570

= 43,11,50,122

Therefore, the number of female population is 43,11,50,122.

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The three methods are used to select a sample from a larger population in order to make inferences about the population as a whole.

Probability-proportional-to-size sampling is a method where the probability of an item being selected is proportional to its size. In this case, the size is represented by the dollar amount of the sale.

Systematic selection involves selecting items at regular intervals. In this case, the starting point is 13 and the interval is 30. Every 30th item is selected, starting from the 13th item.

The starting dollar is $17,240 and the interval is $220,000. Every item with a sales amount that falls within the interval is selected with a probability proportional to its size.

The random-number table selection technique involves using a random number table to select items. The last four digits of the invoice number are used to determine which item is selected.

The selection process starts at row (0004) and column (01) and continues across the row and then down to the next row.

The probability of an item being selected in each method differs and is important in ensuring a representative sample is obtained.

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The cube root of -2i,

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

We can represent -2i in polar form as,

r(cosθ + i sinθ)

by computing its magnitude and angle.

The magnitude of -2i is 2

Since the absolute value of any imaginary number is equal to its magnitude.

To find the angle θ,

We can use the fact that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

In this case,

The opposite side is -2 and the adjacent side is 0.

Therefore, we have tanθ = -2/0, which is undefined.

However,

We can use the fact that the cube root of a complex number is equal to the cube root of its magnitude times exp(iθ/3) to find the cube root of -2i.

So, the cube root of -2i is equal to the cube root of 2 times exp(iθ/3).

Now, we need to find the value of θ/3. Since θ is undefined,

we will represent it as π/2 + 2πn,

where n is any integer.

So, θ/3 = (π/2 + 2πn)/3 = π/6 + 2πn/3.

Therefore, the cube root of -2i is equal to

⇒  ∛2 [ cos(π/6 + 2πn/3) + i sin(π/6 + 2πn/3) ]

Now put n = 0

⇒ ∛2[ cos(π/6) + i sin(π/6) ]

This is the final form of the cube root of -2i in the required form.

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Answer:

answer 3

Step-by-step explanation:

Hope this helps you out

Answer:

w≈449cm

Step-by-step explanation:

Law of Sines:

\(\frac{sin(55)}{520}=\frac{sin(45)}{w}\)

\(w*sin(55)=520*sin(45)\)

\(w=\frac{520*sin(45)}{sin(55)}\)  ⇒  calculator  ⇒  w≈449cm

The length of w, to the nearest centimeter is 448.95 cm.

Law of Sines in trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

The formula for sine rule is sinA/a=sinB/b=sinC/c

Given that, in ΔVWX, v = 520 cm, ∠V=55° and ∠W=45°.

Here, sin V/v = sin W/w

sin55°/520 = sin45°/w

0.8192/520 = 0.7071/w

0.001575w= 0.7071

w= 0.7071/0.001575

w= 448.95 cm

Therefore, the length of w, to the nearest centimeter is 448.95 cm.

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Answer:

D 12,000

Step-by-step explanation:

There is 1000 meters in every km

Step-by-step explanation:

The problem asks to calculate the integral by using area of geometric shapes, but it is possible to integrate using trig substitution.

∫₀³ √(9 − x²) dx

If x = 3 sin u, then dx = 3 cos u du.

When x = 0, u = 0.  When x = 3, u = π/2.

∫₀ᵖⁱ`² √(9 − 9 sin²u) (3 cos u du)

∫₀ᵖⁱ`² 3 √(1 − sin²u) (3 cos u du)

∫₀ᵖⁱ`² 3 cos u (3 cos u du)

∫₀ᵖⁱ`² 9 cos²u du

Use power reduction formula.

9/2 ∫₀ᵖⁱ`² (cos(2u) + 1) du

9/2 ∫₀ᵖⁱ`² cos(2u) du + 9/2 ∫₀ᵖⁱ`² du

9/4 ∫₀ᵖⁱ`² 2 cos(2u) du + 9/2 ∫₀ᵖⁱ`² du

[ 9/4 sin(2u) + 9/2 u ] |₀ᵖⁱ`²

[ 9/4 sin(π) + 9/2 (π/2) ] − [ 9/4 sin(0) + 9/2 (0) ]

9π/4

Using geometry instead, the function is the top half of a circle centered at the origin with a radius of 3.  The limits are 0 ≤ x ≤ 3, so we're looking at the first quadrant only.  So the area is:

A = πr² / 4

A = π (3)² / 4

A = 9π/4

Answer:

9π/4

Step-by-step explanation:

Consider this approach.

We have a circle, rather a semicircle, covering quadrants I and II. This is as it is simply the 'upper part of the circle.' Now then we have our limits from 0 to 3, and therefore our radius will be 3, as the difference between 0 and 3 on the coordinate is 3. Well then the shaded region for consideration here would be the area under the curve of the circle in the first quadrant, as remember our limits are from 0 to 3 (positive).

What would be the area of this shaded region? Consider the area formula πr^2. If radius = 3, area = π(3)^2 = 9π. The shaded region is only 1/4ths of the whole circle, so the area would be 9π/4. Done!

Check:

y = √9 - x^2,

y^2 = 9 - x^2,

x^2 + y^2 = 0,

x^2 + y^2 = 3^2

As you can see this is a circle equation, where radius = 3, centered at (0,0). Respectively √9 - x^2 is our upper semicircle.

The number of ways they can is 40,320.

The number of ways Larry can arrive first and Sarah can arrive last is 720.

The probability that Larry arrives first and Sarah arrives last is 0.01786.

We have,

a)

Since each person can arrive at any time, the number of ways they can arrive is equal to the number of permutations of 8 people, which is:

= 8!

= 40,320

b)

To calculate the number of ways Larry can arrive first and Sarah can arrive last, we can fix their positions and then permute the remaining 6 people in the middle.

= 1 x 6! x 1

= 720

c)

To find the probability that Larry arrives first and Sarah arrives last, we need to divide the number of ways they can arrive in the desired order (720) by the total number of ways they can arrive (40,320):

= P(Larry first and Sarah last)

= 720 / 40,320

= 0.01786

So the probability is approximately 0.01786, or about 1.8%.

Thus,

The number of ways they can is 40,320.

The number of ways Larry can arrive first and Sarah can arrive last is 720.

The probability that Larry arrives first and Sarah arrives last is 0.01786.

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Answer:

Her homework has 99 problems

Step-by-step explanation:

27÷3=9

9=1/11

11×9=99

now, if we take into account that a WHOLE is always one, and we can partition it in many ways, say 295/295 = 1, or 313/313 = 1, so the whole amount of homework is 1 fraction wise, thus

\(\begin{array}{ccll}amount&fraction\\\cline{1-2}27&\frac{3}{11}\\x&1\end{array}\implies \cfrac{27}{x}=\cfrac{\frac{3}{11}}{~~1~~}\implies \cfrac{27}{x}=\cfrac{3}{11}\implies 27\cdot 11=x\cdot 3\\\\\\297=3x\implies \cfrac{297}{3}=x\implies \boxed{99=x}\)

The tοtal cοst οf the shirts including a 6.5% sale tax be greater if the tax was applied befοre a 15% discοunt is taken.

Discοunt is the state οf having a bοnd's price lοwer than its face value. The difference between the purchase price and the item's par value is the discοunt.

Discοunts are different types οf price reductiοns οr deductiοns frοm a prοduct's cοst. It is frequently emplοyed in cοnsumer transactiοns when cοnsumers receive discοunts οn a range οf gοοds. The % discοunt rate is prοvided.

Here Let us take the marked price οf shirt = $100.

If 15% discοunt then Cοst price οf shirt = 100%-15%=85%

Then cοst price = 85% οf $100

=> Cοst price = 85/100*100 = $85

Nοw sale tax is 6.5% then ,

Cοst price with sale tax = 85+6.5% οf 85 = 85+5.5 = $90.5

Nοw If tax applied befοre 15% discοunt then,

Cοst price = 100+6.5% 0f 100 = 100+6.5 = $106.5

Hence the tοtal cοst οf the shirts including a 6.5% sale tax be greater if the tax was applied befοre a 15% discοunt is taken.

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Answer:

250

Step-by-step explanation:

i aint never seen two pretty best friends its always one of em gotta be ugly

Answer:

250

Step-by-step explanation:

hope it helped you !

Answer:

$728

Step-by-step explanation:

The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.

I = PRT

I = (4000)(0.052)(3.5)

I = 728

Simple Interest earned on $4000 in three and half year with 5.2% interest rate is $ 728.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Here, Principal = $ 4000

          Time = \(3\frac{1}{2}\) years = 7/2 years = 3.5 years

          Rate = 5.2 % =  0.052

Now, SI = P.R.T/100

         SI = 4000 X 3.5 X 5.2 / 100

         SI = $ 728

Thus, Simple Interest earned on $4000 in three and half year with 5.2% interest rate is $ 728.

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The quadratic equation that fits each set of points (0.-8), (2, 0), and (-3, -5) is -3x² + 10x - 8 = 0

Quadratic equation:

Quadratic equation refers algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

Given,

Here we have the set of points (0.-8), (2, 0), and (-3, -5).

Now, we have to find the quadratic equation for this points.

We know that the standard form of the quadratic equation is,

y = ax² +  bx + c

Here we have to use each point value in order to find the value of a, b and c to find the quadratic equation of the points,

First we have to take the point (0, -8) and apply it on the formula, then we get,

-8 = a(0)² +  b(0) + c

-8 = c

Now, use the point (2,0), then we get,

0 = a(2)² +  b(2) + c

0 = 4a + 2b + c --------------------(1)

Finally, take the point (-3, -5), then we get the equations,

-5 = a(-3)² +  b(-3) + c

-5 = 9a - 3b + c --------------------(2)

Now, apply the value of c as -8, then we get,

4a + 2b = 8 ----------------(3)

9a -3b = 3 -----------------(4)

Divide equation (4) by 3 and equation (3) by 2 on both sides then we get,

2a + b = 4

3a - b = 1

When we subtract these equation then we get the value of

a = -3

Then the value of b is

2(-3) + b = 4

b = 4 + 6

b = 10

Therefore, the quadratic equation is -3x² + 10x -8 = 0

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Where the above conditions exist:

(a) To find the weight of each type of coffee in 800g of X, we can use the ratio of P coffee to Q coffee in the blend, which is 3:13.

Let the weight of P coffee in 800g of X be 3x, then the weight of Q coffee in 800g of X is 13x.

The total weight of X is 800g, so we have:

3x + 13x = 800

16x = 800

x = 50

Therefore, the weight of P coffee in 800g of X is:

3x = 3(50) = 150g

And the weight of Q coffee in 800g of X is:

13x = 13(50) = 650g

(b) To find the weights of type P coffee and type R coffee in 800g of Y, we can use the ratio of the three types of coffee in the blend, which is 1:7:12 by weight.

Let the weight of P coffee in 800g of Y be x, then the weight of Q coffee in 800g of Y is 7x and the weight of R coffee in 800g of Y is 12x.

The total weight of Y is 800g, so we have:

x + 7x + 12x = 800

20x = 800

x = 40

Therefore, the weight of P coffee in 800g of Y is:

x = 40g

And the weight of R coffee in 800g of Y is:

12x = 12(40)

= 480g

(c) To find the ratio of the three types of coffee in a third standard blend Z, formed by mixing equal weights of X and Y, we first need to find the total weight of X and Y that will be used to make Z. Since we are mixing equal weights of X and Y, the total weight of X and Y in Z will be:

800g + 800g = 1600g

The ratio of P coffee to Q coffee in Z can be found by adding the weights of P coffee in X and Y, and then dividing by the total weight of X and Y:

(150g + 40g) / 1600g = 0.1125

Similarly, the ratio of Q coffee to the total weight in Z can be found by adding the weights of Q coffee in X and Y, and then dividing by the total weight of X and Y:

(650g + 7(40g)) / 1600g = 0.5063

The ratio of R coffee to the total weight in Z can be found by adding the weights of R coffee in Y, and then dividing by the total weight of X and Y:

(12(40g)) / 1600g = 0.3

Therefore, the ratio of the three types of coffee in Z is approximate:

P : Q : R = 0.1125 : 0.5063 : 0.3

(d) To find the weight of type P coffee in 800g of Z, we can use the ratio of P coffee to the total weight in Z, which is 0.1125.

Therefore, the weight of P coffee in 800g of Z is:

0.1125 * 800g = 90g

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Full Question:

Two types of coffee, P and Q, are blended in the ratio 3:13 by weight to form a standard blend X. A second standard blend, Y, is formed by blending type P coffee, type Q coffee, and type R coffee in the ratio 1:7:12 by weight. Find:

a) The weight of each type of coffee in 800 g of X

b) The weights of type P coffee and type R coffee in 800 g of Y

c) The ratio of the three types of coffee in a third standard blend Z, formed by mixing equal weights of X and Y

d) The weight of type P coffee in 800 g of Z.

Answer:

Future amount (A) = $1,258.77 (Approx)

Step-by-step explanation:

Given:

Amount deposit (p) = $693

Rate of interest monthly (r) = 4.9% / 12 = 0.003833

Number of month (n) = 13 × 12 = 156

Find:

Future amount (A)

Computation:

\(A = p [1+r]^n \\\\ A = 693 [1+0.003833]^{156}\\\\ A= 693[1.8163]\\\\ A = 1258.77\)

Future amount (A) = $1,258.77 (Approx)

we have the equation

y = -23.2x + 925.33

For x=32

substitute the value of x in the equation above

y = -23.2(32) + 925.33

Answer:

36 miles

Step-by-step explanation:

Since there are 60 minutes in a hour, you can see that 20 minutes is a third of that time. To find the answer, you multiply the values by 3 to equal on hour. 20x3 = 60 and 12x3 = 36, meaning he drove 36 miles in a hour.

Answer:

114 cents

Step-by-step explanation:

1. 66÷22=3 cents per inch

2. 3×38=114

3. 114 cents ($1.14) for 38 inches