Find the slope given the table value.

Answer:5.33333

Step-by-step explanation:

1 child = 8 crayon

16 children = 128

-> 128 divided by 24

=5.33333

Answer:

6

Step-by-step explanation:

Because . .

24 ÷ 8 = 3

16 ÷ 8 = 2

3× 2 = 6

The forces \(F_3\) that must act on the object so that the sum of the forces is zero are \(F_3\) = (-10, -10, -12).

To find the forces \(F_3\) that must act on the object so that the sum of the forces is zero, we need to find a vector \(F_3\) that satisfies the equation

\(F_1 + F_2 + F_3 = 0.\)

Given the forces:

\(F_1\) = (10, 6, 3)

\(F_2\) = (0, 4, 9)

We can rearrange the equation to solve for \(F_3\):

\(F_3 = -F_1 - F_2\)

Now, let's calculate \(F_3\):

\(F_3\) = -(10, 6, 3) - (0, 4, 9)

  = (-10, -6, -3) - (0, 4, 9)

  = (-10-0, -6-4, -3-9)

  = (-10, -10, -12)

Therefore, the forces \(F_3\) that must act on the object so that the sum of the forces is zero are \(F_3\) = (-10, -10, -12).

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Hima's selling price for each sheet of paper is ₹3.2, but Sharon was charged ₹2.9 per sheet. So, Sharon got a discount of:

sql

Copy code

Discount per sheet = Selling price per sheet - Sharon's price per sheet

                  = ₹3.2 - ₹2.9

                  = ₹0.3

Now, Sharon ordered 1250 sheets of paper, so the total discount she got is:

java

Copy code

Total discount = Discount per sheet x Number of sheets

              = ₹0.3 x 1250

              = ₹375

Therefore, Sharon got a total discount of ₹375 in this purchase.

Answer: -24x^2+28x

Step-by-step explanation: -4x*6x-(-4x)*7 to -24x^2+28x

Answer:

2x^4y²

Step-by-step explanation:

12/6 = 2

x^7/x^3=x^4

y^3/y=y^2

put those together and you get

2x^4y²

When dividing with indices you subtract the indices. X³÷X²=X

When multiplying with indices, you add the indices. X³×X²=X^5

Answer:

No

Step-by-step explanation:

A function can have only  output for each input.  The input 3 has two outputs 3 and 5.  

The input 4 has two outputs 4 and 6.

x and x⁴-16x²+56 are the resulting composite functions respectively.

Given the following functions below

f(x) = 7/x

g(x) = x² - 8

We need to determine the composite functions (fof)(x) and (gog)(x)

(fof)(x) = f(f(x))

f(f(x)) = f(7/x)

Replace x with 7/x

f(7/x) = 7/(7/x)

f(7/x) = 7 * x/7

f(7/x) = x

Similarly:

(gog)(x) = g(g(x))

g(g(x)) = (x² - 8)² - 8

g(g(x)) = x⁴-16x²+64 - 8

g(g(x)) = = x⁴-16x²+56

Hence the resulting composite functions of f(f(x) and g(g(x)) are x and x⁴-16x²+56

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As per the given scenario, the center of the circle is (-4, -1), and the radius is 5.

To complete the square as well as find the center and radius of the circle represented by the equation \(x^2 + y^2 + 8x + 2y - 8 = 0\), we need to rearrange the equation.

The x-terms and y-terms together:

(x^2 + 8x) + (y^2 + 2y) - 8 = 0

To complete the square for the x-terms, we take half of the coefficient of x (which is 8), square it, and add it to both sides:

\((x^2 + 8x + 16) + (y^2 + 2y) - 8 - 16 = 16\\(x + 4)^2 + (y^2 + 2y) - 24 = 16\)

The square for the y-terms by taking half of the coefficient of y (which is 2), square it, and add it to both sides:

\((x + 4)^2 + (y^2 + 2y + 1) - 24 - 1 = 16 + 1\\(x + 4)^2 + (y + 1)^2 - 25 = 17\)

Now, we have the equation in the form \((x - h)^2 + (y - k)^2 = r^2\), where (h, k) represents the center of the circle, and r represents the radius.

Comparing the equation to the standard form, we can identify the center as (-4, -1), and the radius is the square root of 25, which is 5.

Thus, the center of the circle is (-4, -1), and the radius is 5.

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It can be noted that the decimals that fit into the equation will be 68.05, 68.3, and 68.006.

Your information is incomplete as the original equation isn't given. Therefore, an overview will be given.

Let's assume that the statement is that you should find three decimals where the addition equals 204.086

In this case, you've to look at the decimals and add the three that will give the number above. In this case, the three decimals will be:

68.05 + 68.3 + 68.006

= 204.086

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The answer is 9.

The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. This is the median.

Answer:

9

Step-by-step explanation:

Answer:

The answer would be A - $96

Given:

Initially, the cell phone was 80% charged.

Then started to lose 8% charge for each hour thereafter.

To find:

The equation for B in terms t

Answer:

The distance between them

is 67 miles

Step-by-step explanation:

Here, we want to know how far apart they both are

From the question, the time they have both driven is 1 hour

Mathematically;

distance = speed * time

For Matt,

distance Is = 45 * 1 = 45 m

For John

distance is 50 * 1 = 50 m

To find the distance between them, we will use pythagoras’ theorem which states that the square of the hypotenuse is equal to the sum of the squares of the two other sides

In this question, the hypotenuse is the distance between the two sides

Thus; we have

D^2 = 45^2 + 50^2

D^2 = 2025 + 2500

D^2 = 4525

D = √4525

D = 67.27

this is approximately 67 miles

If A is true, B is false, C is true and D is false, then the truth value of the compound statement (A V B) → [(C ∨ B) ↔~D] is True.

To determine the truth value of the compound statement, follow these steps:

So, the truth value of the compound statement (A V B) → [(C ∨ B) ↔ ~D] when A is true, B is false, C is true, and D is false is True.

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The total amount of kinetic and potential energy in a system is called mechanical energy.

Mechanical energy is the sum of kinetic energy and potential energy within a system. Kinetic energy (KE) is the energy possessed by an object due to its motion, and it is calculated using the formula KE = (1/2)mv², where m is the mass of the object and v is its velocity. Potential energy (PE) is the energy possessed by an object due to its position or condition, and it can be gravitational potential energy, elastic potential energy, or other forms. The total mechanical energy (ME) is obtained by adding the kinetic and potential energy together, so ME = KE + PE.

In summary, the total amount of kinetic and potential energy in a system is referred to as mechanical energy. This energy accounts for both the motion and position-related energies within the system. The calculation of mechanical energy involves summing the kinetic energy, which depends on the mass and velocity of the objects, with the potential energy, which can arise from factors such as gravity or elasticity. Understanding and analyzing the mechanical energy in a system can provide insights into its overall energy distribution and behavior.

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The estimate of the population proportion of defectives is 0.05.

Given that,

There are 10 different samples of 50 observations, that is, total of 500 observations.

To find : The estimate of the population proportion of defectives

And total number of defectives from 500 observations is (5+1+1+2+3+3+1+4+2+3) = 25

Thus, the point estimate for the population proportion defectives will be,

=25/500=0.05

or just obtain the individual proportion of each sample and then take their average to obtain the same result.

Thus, the point estimate for the population proportion defectives will be 0.05

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Answer:

ABC

Step-by-step explanation:

BECAUSE THEY ARE OPPOSITE

20% wore a blue shirt

Answer:

20% student wore blue shirts

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

Answer:

3y=3x+ c

Step-by-step explanation:

-3= x1 and 3 = y1

-6= x2 and 2= y2

y2-y1/ x2-x1 = 2-3/ -6+3 = -1/-3 =1/3 (the gradient)

y =1/3x +c

multiplying both sides by 3

3y= 3x +c in the form of y= mx + c

Answer:

* Siobhan's profit at the grocery store ⇒ $ 10.8 *

Step-by-step explanation:

See below;

Priya's 40% profit in the grocery store ⇒ 40/100 * 9 = 2/5 * 9 = 18/5 ⇒ $ 3.6,

Priya's profit at the grocery store ⇒ 9 + 3.6 ⇒ $ 12.6,

Siobhan's 15% of Priya's profit from the store ⇒ 15/100 * 12.6 = $ 1.8

Siobhan's profit at the grocery store ⇒ 12.6 - 1.8 = $ 10.8

* Siobhan's profit at the grocery store ⇒ $ 10.8 *

Answer:The second term is -23

Step-by-step explanation:

Step 1- multiply

4x-5=-20

Step 2- subtract

-20 - 3=-23

Answer:

A. 18 roses were red.

B. 30 roses were not red.

C. 5/8 were not red.

Step-by-step explanation:

In order to do this question, we first need a calculator. Then, we take three eighths and divide them on the calculator to get:

3 divided by 8 = 0.375.

Then, on the calculator again, we take the 48 roses and find the percentage of the roses that were red, by multiplying it by 0.375:

0.375 x 48 = 18.

A. 18 roses were red.

Now, for the next question, how many roses were not red. We take the 48 roses and subtract it from the roses that were red, which were 18 roses:

48 - 18 = 30.

B. 30 roses were not red.

Now, to find the fraction of the roses that weren't red. We take the 30 roses that weren't red and divide it by the total amount of 48 roses:

30 divided by 48 = 0.625.

In order to make 0.625 into a fraction, we take the higher, but lowest 100th place we can make for 0.625:

625/1,000.

Now, we simplify it:

625 divided by 5 = 125

1,000 divided by 5 = 200

Now, we have 125/200.

Simplify more:

125 divided by 5 = 25

200 divided by 5 = 40

Once more:

25 divided by 5 = 5

40 divided by 5 = 8

Our final fraction is 5/8.

C. The fraction of the roses that were not red are 5/8.

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Answer:

\(x=4+2\sqrt{3}\)

\(x=4-2\sqrt{3}\)

Step-by-step explanation:

Completing the square

when  \(ax^2+bx+c=0\)

Given equation:

\(3x^2-24x+40=28\)

Subtract 40 from both sides:

\(\implies 3x^2-24x=-12\)

Divide both sides by 3:

\(\implies x^2-8x=-4\)

Add the square of half the coefficient of \(x\) to both sides:

\((\frac{b}{2})^2=(\frac{-8}{2})^2=16\)

\(\implies x^2-8x+16=-4+16\)

Factor the left side and simplify the right side:

\(\implies (x-4)^2=12\)

Square root both sides:

\(\implies x-4=\pm\sqrt{12}\)

Add 4 to both sides and simplify the radical:

\(\implies x=4\pm\sqrt{4 \cdot 3}\)

\(\implies x=4\pm\sqrt{4}\sqrt{3}\)

\(\implies x=4\pm2\sqrt{3}\)

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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Answer:

450 liters

Step-by-step explanation:

if the machine produces 9.5 liters per hour and we want to find how much it will produce in 50 hours we just have to multiply 9.5 and 50 and get that the machine will produce 450 liters in 50 hours

hope this helps :)

Answer:

125.5 gallons or 475 liters

Step-by-step explanation:

multiply the liters by 50 then u get 475 and convert them to gallons or in liters

Serena leans a 24-foot ladder against a 22.8-foot-tall building to climb on the roof is 71.8 degree.

Measurement of Angle:

The measurement of angles is done using basic geometric tools such as protractors and compasses. This tool helps to find precise measurements of angles. A protractor helps provide accurate measurements of angles, while compasses help construct angles. Angles are measured in three ways: degrees, radians, and revolutions.

According to the Question:

Suppose the measure of angle is θ, then we have

   Sinθ = 22.8/24

⇒ Sinθ = 0.95

Therefore,

θ = Sin⁻¹ (0.95)

  = 71.8 degree.

Therefore, Serena leans a 24-foot ladder against a 22.8-foot-tall building to climb on the roof is 71.8 degree.

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Answer:

A

Step-by-step explanation: