Use compatible numbers to determine if 455 + 229 455 + 229 is more than 650 650 . Drag the numbers to the table to show each compatible number. Numbers may be used once or not at all. Is it more than one answer for each box or just the one I already selected

Answer: 65

Step-by-step explanation:

The best predicted score for a student who studied two hours is 65. This is based on the linear regression equation y = 9.6x + 50.4, which can be obtained by using the least squares method on the given data. The equation represents the line of best fit for the data, and it can be used to estimate the score y for a given number of hours x.

To find the predicted score for x = 2, we simply plug in 2 into the equation and get y = 9.6(2) + 50.4 = 69.6. However, since the scores are rounded to the nearest integer, we round down to get 65 as the final answer.

The scale factor and the value of x for each figure is given as follows:

A) Scale factor of 1/3, x = 7 m.

B) Scale factor 0.4747, x = 4.5 in.

For Figure A, we have that the ratio between the areas is given as follows:

510/4590 = 1/9.

As the area is measured in square units, while the side lengths are measured in units, the scale factor is the square root of 1/9, hence it is given as follows:

1/3.

Then the value of x is obtained as follows:

x = 21 x 1/3

x = 7 m.

For Figure B, we have that the ratio between the areas is given as follows:

16/71 = 0.22535.

The scale factor is then the square root of 0.22535, which is given as follows:

0.4747.

Then the value of x is given as follows:

x = 9.5 x 0.4747

x = 4.5 in.

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Answer:

Current Ratio

Step-by-step explanation:

The current ratio is a liquidity ratio that measures how able a company is to pay short-term obligations, or current liabilities, with its current assets.

The formula is \(Current\:Ratio=\frac{Current\:Assets}{Current\:Liabilities}\)

The values of the angles partwise are 55°, 42°, 94°, and 100°.

We are given a circle. The circle has two chords. The chords are DC and DE. We know the property that the angle subtended by an arc at the center is twice the angle subtended by it at any other point on the circle. In the first part, the angle subtended by the arc CE is 110°. So, the angle ∠D is 55°.  In the second part, the angle subtended by the arc CE is 84°. So, the angle ∠D is 42°. In the third part, the angle ∠D is 47°. So, the angle subtended by the arc CE is 94°. In the fourth part, the angle ∠D is 50°. So, the angle subtended by the arc CDE is 100°.

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Answer:

d.

I and IV only.

Step-by-step explanation:

Answer:

There is nothing to be further simplified. It is how you wrote it. Let me know if it was a mistake I'll edit my answer.

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Volume= LxWxH so we get 20x28x24 as given.

Volume= 13,440 which is the volume of the box given. ANd so if the box is 10,500cubic inches, we subtract to find the difference.

13,440-10,500= 2,940 Cubic Inches

Option A

Answer:

Part A:  13440 cubic inches.

Part B: A - 2940 cubic inches.

Step-by-step explanation:

The volume of the box = 24x20x28 = 13440 cubic inches.

The problem tells us that his gift is 10,500 cubic inches. So subtract that from the volume of the box.

13440-10500 = 2940 cubic inches. The answer is A.

Answer: B

Step-by-step explanation:

The 2 figures given would be congruent since there seems to be a reflection that carries 1 figure onto the another one. A further explanation is below.

Thus the answer above i.e., "Option 1" is appropriate.

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Answer:

Formula for both is: A= (h•b)/2

Plug in values for First one are: 16 and 14

Area of first one: 112in^2

Plug in values for Second one: 2 and 3.5

area of second one: 3.5m^2

Step-by-step explanation:

plug in the values-. A= 16•14= 224 224÷2= 112

plug in the values #2- A= 2•3.5= 7 7÷2= 3.5

hope this helps u <3

9514 1404 393

Answer:

Step-by-step explanation:

The third angle can be found from the sum of angles in a triangle.

  A + B + C = 180°

  C = 180° -62° -97°

  C = 21°

__

The remaining side lengths can be found using the Law of Sines.

  a/sin(A) = b/sin(B)

  a = sin(62°)(15/sin(97°)) ≈ 13.34

Similarly, ...

  c/sin(C) = b/sin(B)

  c = sin(21°)(15/sin(97°)) ≈ 5.42

The remaining side lengths are approximately ...

  a ≈ 13.3

  c ≈ 5.4

Answer:

the answer is 19/20

Step-by-step explanation:

the explanation is 3/4 x 5/5=15/20+ 4/20=1/5 x 4/4

The ratio 81:108 can be simplified to 9:13. To find the simplest form of the ratio, you can divide both numbers by the greatest common factor. The greatest common factor of 81 and 108 is 9, so you can divide both numbers by 9 to get the simplified ratio of 9:13.

Answer: Hi! Read the explanation below:

Brainliest?

Step-by-step explanation:

Predict:

Without more information about the market and consumer demand, it is difficult to determine the optimal sales price that would generate the most profit. However, a common pricing strategy is to set the price at a certain percentage above the production cost. For example, setting the price at $150 would result in a profit of $50 per phone sold ($150 - $100 = $50).

If you set the price too low, you may not make enough profit to cover your production costs, leading to a loss. Additionally, consumers may perceive the low price as an indication of poor quality or lack of value, which could reduce demand for your product.

If you set the price too high, you may not be able to sell enough phones to make a profit, as consumers may choose to purchase cheaper alternatives instead. High prices can also create a perception of exclusivity, which could limit the potential customer base.

Calculate:

See the table below.

Price ($) Quantity Demanded (Q) Total Revenue (TR) Total Cost (TC) Profit (TR-TC)

100 20 2,000 2,000 0

120 18 2,160 1,800 360

140 16 2,240 1,600 640

160 14 2,240 1,400 840

180 12 2,160 1,200 960

200 10 2,000 1,000 1,000

Analyze:

Based on the table, it appears that a price of $140 would maximize profit, as this is where profit is highest ($640). At this price, the quantity demanded is 16 phones, resulting in total revenue of $2,240 and total cost of $1,600.

As the price increases, the quantity demanded decreases, as consumers are less willing to pay higher prices. This leads to lower total revenue and profit.

The x-intercept is when profit is equal to zero, or where TR = TC. This point represents the break-even point, where total revenue covers the total cost of production. In this case, the x-intercept is at a price of $150.

Quadratic Regression:

a) Using the provided calculator link, we obtain the following values:

a = 0.05

b = -10

c = 500

r2 = 0.9

b) The standard form of the equation that represents the data is:

f(x) = 0.05x2 - 10x + 500

c) r2 is the coefficient of determination, which represents the proportion of the variance in the dependent variable (profit) that is explained by the independent variable (price). An r2 value of 0.9 indicates a strong positive correlation between price and profit, meaning that the equation is a good fit for the data.

d) See graph below.

Graph of quadratic equation

Evaluate:

Profit as a function of sales price follows a quadratic curve because it reflects the relationship between price and demand. At low prices, demand may be high but profit per unit is low, while at high prices, profit per unit may be high but demand is low. The optimal price is the one that balances these

Let be "x" and "y" the numbers you must find.

You need to remember that:

- A Sum is the result of an Addition.

- "Times" indicates a Multiplication.

- "Less" indicates a Subtraction.

Then, "The sum of two numbers is thirty" can be represented with the following equation:

And "One number is five times the other less six" can be represented with the following equation:

Now you can set up the following System of Equations:

You can solve it by applying the Substitution Method:

1. Substitute the second equation into the first one.

2. Solve for "y".

Then:

3. Substitute the value of "y" into the second equation and evaluate, in order to find the value of "x":

Therefore, the answer is:

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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1- 27 apricots will cost R10.08.

2- 1 kg of polony will cost R71.71.

3- 7.2 kg of sugar cost R51.84.

4- It will use 4 liters of oil to travel a distance of 80km.

5- Peter can paint 8 square meters with 1 liter of paint.

To answer the questions made, the following calculations must be made:

1. If 15 apricots cost R5.60, how many apricots will cost R10.08?

2. How much will it cost for 1kg of polony if 0.35 kg of polony costs R25.10?

3. If 12.5 kg of sugar cost R90, how much will 7.2 kg of the sugar cost?

4. A scooter uses 6.5ℓ petrol to travel a distance of 130 km. How much petrol will it use to travel a distance of 80km?

5. Peter used 5ℓ of paint to paint a wall that is 8m long and 5m high. How many square meters can Peter paint with 1ℓ of paint?

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Part A: The probability of rolling a 5 is 1/6 or approximately 0.167. Part B: the probability of rolling an even number is 3/6 or 1/2 or 0.5.

Probability is a branch of mathematics concerned with measuring the likelihood or chance of an event occurring. It is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes. Probability is expressed as a number between 0 and 1, where 0 means that the event will not occur and 1 means that the event will definitely occur. For example, if the probability of an event is 0.5, it means that the event has an equal chance of occurring or not occurring. Probability is used in various fields, such as science, engineering, finance, and statistics, to make predictions and make decisions based on uncertain events.

Part A:

The number cube has six faces, and each face has an equal chance of landing face-up. Therefore, the probability of rolling a 5 is 1/6 or approximately 0.167.

Part B:

The even numbers on a number cube are 2, 4, and 6. There are three even numbers out of a total of six possible outcomes. Therefore, the probability of rolling an even number is 3/6 or 1/2 or 0.5.

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Answer:

20.5

Step-by-step explanation:

Use Pythagorean theorem,

\(x^2 = 14^2 +15^2 \\\\\implies x^2 =421\\\\\implies x =\sqrt{421}\\\\\implies x =20.5\)

The value of y from x= 0 to x = 3 is: y = 5(2)⁰ = 5, y = 5(2)¹ = 10, y = 5(2)² = 20, y = 5(2)³ = 40. The most rapid rate of change is: y = 7ˣ. The constant 1.20 is greater than 1 thus, the function is exponential growth.

The formula for an exponential function is f (x) = axe, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

The given function is:

y = 5(2)ˣ

The value of y from x= 0 to x = 3 is:

y = 5(2)⁰ = 5

y = 5(2)¹ = 10

y = 5(2)² = 20

y = 5(2)³ = 40

The most rapid rate of change as x increases beyond 0 is:

y = 7ˣ

This is observed as the graph increases rapidly with change in value of x.

3. y = (1.20)ˣ

The constant 1.20 is greater than 1 thus, the function is exponential growth.

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Answer:

\( \: \)

Step-by-step explanation:

\( \: \)

Given Equation,

\( \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { 4x+4=2x-6}}}}}}} \\ \\\)

Subtracting 4 from both sides we get :

\( \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { 4x+4 - 4=2x-6 - 4}}}}}}} \\ \\\)

\({\longrightarrow{ \qquad{{ {\pmb{\rm { 4x=2x-10}}}}}}} \\ \\\)

Subtracting 2x from both sides we get :

\( \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { 4x - 2x= 2x-10 - 2x}}}}}}} \\ \\\)

\({\longrightarrow{ \qquad{{ {\pmb{\rm { 2x= -10 }}}}}}} \\ \\\)

Dividing 2 from both sides we get :

\( \\ {\longrightarrow{ \qquad{{ {\pmb{\rm { \frac{2x}{2} = - \frac{10}{2} }}}}}}} \\ \\\)

\({\longrightarrow{ \qquad{{ {\pmb{\frak { x= -5 }}}}}}} \\ \\\)

Therefore,

The total number of coins that were in Kay's bank are 137 coins.

In order to determine the number of dimes and nickels, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Since she has 11 less dimes than nickels, an equation which models this situation is given by;

n = d + 11     ....equation 1.

Note: 1 nickel is equal to 0.05 dollar and 1 dime is equal to 0.1 dollar.

Additionally, the coins are worth 10 dollars;

0.1d + 0.05n = 10 ....equation 2.

By solving both equations simultaneously, we have:

0.1d + 0.05(d + 11) = 10

0.1d + 0.05d + 0.55 = 10

0.15d = 9.45

d = 63 dimes.

For nickels, we have:

n = d + 11

n = 63 + 11

n = 74

Now, we can determine the total number of coins;

Total number of coins = n + d

Total number of coins = 74 + 63

Total number of coins = 137 coins.

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an = an - 1 . 7; 4,802 is the recursive formula for the geometric sequence.

What exactly is a geometric series?

A geometric sequence is a set of integers that follows a pattern where each term is multiplied by a fixed number called the common ratio, or r, to find the following term.

                             2, 4, 8, 16, 32, 64,..., which has a common ratio of 2, is an illustration of a geometric sequence.

2, 14, 98, 686, ...

as shown in total

2 * 7 = 14             14 * 7 = 98          98 * 7 =   686

So   aₙ = aₙ₋¹

     a₅   =   a₄  . 7

           =    686  . 7  =  4802

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Answer: angle 1 = 56  and angle 2 = 124

Step-by-step explanation:

Supplementary angle equal 180 degrees

   let X be angle 1 and X +68 be angle 2

    x + x + 68 = 180

     2x + 68 = 180

          - 68     - 68

      2x = 112

        x = 56

        x + 68 = 56 + 68 = 124

Answer:

C. 26 yards

Step-by-step explanation:

Total length of Jamie's fence = sum of all distances from one vertex of the polygon to another = AB + BC + CD + DE + EF + FA

Use the distance formula, \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \), to find the distance between vertexes.

Distance between A(-5, 5) and B(0, 5)

Let,

\( A(-5, 5) = (x_1, y_1) \)

\( B(0, 5) = (x_2, y_2) \)

\( AB = \sqrt{(0 -(-5))^2 + (5 - 5)^2} \)

\( AB = \sqrt{(5)^2 + (0)^2} \)

\( AB = \sqrt{25 + 0} = \sqrt{25} \)

\( AB = 5 \)

Distance between B(0, 5) and C(4, 2)

Let,

\( B(0, 5) = (x_1, y_1) \)

\( C(4, 2) = (x_2, y_2) \)

\( BC = \sqrt{(4 - 0)^2 + (2 - 5)^2} \)

\( BC = \sqrt{(4)^2 + (-3)^2} \)

\( BC = \sqrt{16 + 9} = \sqrt{25} \)

\( BC = 5 \)

Distance between C(4, 2) and D(1, -2)

Let,

\( C(4, 2) = (x_1, y_1) \)

\( D(1, -2) = (x_2, y_2) \)

\( CD = \sqrt{(1 - 4)^2 + (-2 - 2)^2} \)

\( CD = \sqrt{(-3)^2 + (-4)^2} \)

\( CD = \sqrt{9 + 16} = \sqrt{25} \)

\( CD = 5 \)

Distance between D(1, -2) and E(-2, -2)

Let,

\( D(1, -2) = (x_1, y_1) \)

\( E(-2, -2) = (x_2, y_2) \)

\( DE = \sqrt{(-2 - 1)^2 + (-2 -(-2))^2} \)

\( DE = \sqrt{(-3)^2 + (0)^2} \)

\( DE = \sqrt{9 + 0} = \sqrt{9} \)

\( DE = 3 \)

Distance between E(-2, -2) and F(-5, 2)

Let,

\( E(-2, -2) = (x_1, y_1) \)

\( F(-5, 2) = (x_2, y_2) \)

\( EF = \sqrt{(-5 -(-2))^2 + (2 -(-2))^2} \)

\( EF = \sqrt{(-3)^2 + (4)^2} \)

\( EF = \sqrt{9 + 16} = \sqrt{25} \)

\( EF = 5 \)

Distance between A(-5, 5) and F(-5, 2)

Let,

\( A(-5, 5) = (x_1, y_1) \)

\( F(-5, 2) = (x_2, y_2) \)

\( FA = \sqrt{(-5 -(-5))^2 + (2 - 5)^2} \)

\( FA = \sqrt{(0)^2 + (-3)^2} \)

\( FA = \sqrt{0 + 9} = \sqrt{9} \)

\( FA = 3 \)

Total length of Jamie's fence in yards = 5 + 5 + 5 + 5 + 3 + 5 + 3 = 26 yards

Answer:

We are given that the circumference of the base of the cone is 17.6in.

The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.

Since the base of the cone is a circle, we can use this formula to find the radius of the base:

C = 2πr

17.6 = 2πr

r = 17.6/(2π)

r ≈ 2.8

Now, we can use the formula for the volume of a cone to find the volume of the given cone:

V = (1/3)πr^2h

V = (1/3)π(2.8)^2(11.1)

V ≈ 71.3 cubic inches

Therefore, the volume of the right circular cone is approximately 71.3 cubic inches.

Answer:

C. Hope It's Help :)))))

Answer:

4.5

Step-by-step explanation:

∛100 = ?

100 = 2 x 2 x 5 x 5

∛100

= ∛ ( 2 x 2 x 5 x 5 )

= 4.642

4.642 ~ 4.5

The approximation 4.642 can also be written as 4.5

Therefore,

∛100 = 4.5

Answer:

She will see that the pressure went up, not down!

Step-by-step explanation:

1. In a closed system, The volume inside the tire shouldn't change much (the losses will be small)

2. For a closed system, the Pressure inside a bicycle tire will increase with the increase of its Temperature

3. In a long bicycle ride, the constant friction of the tire to the ground will heat up the air inside the tire, thus increasing the pressure inside the tire

Answer:

113.04

Step-by-step explanation:

The diameter is 12 so divide it by 2 to get the radius so its 6. Then, multiply the 6 with a 6 and multiply it by 3.14. Use the calculator and you get 113.04 to find the answer.