On a number line, C is at −7 and D is at 25. What is the coordinate of F which is ¼ of the way from C to D ?

Answer:

  f(-4) = g(-4) and f(0) = g(0)

Step-by-step explanation:

The x-values where the graphs intersect are -4 and 0. At these points, ...

  f(-4) = g(-4)   and  f(0) = g(0) . . . . . matches the 2nd choice

Answer:

11.25

Step-by-step explanation:

15x3/4=45/4=11.25pounds

The median cost of a home in 2014 is $480

First, we need to know that the median of a given set of data is expressed as the middle number determined with the data set is arranged in an order from least to greatest or in an ascending order.

Also, note that the median is one of the measures of central tendency.

From the information given, we have that;

The median cost of a home in 2014 traced from the point year to the cost on the graph is;

$480

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All 3 angles add up to 180 degrees.

so 40 + 2x + 3x = 180

40 + 5x = 180

5x = 140

x = 28

So angle A = 2x = 2(28) = 56 degrees.

Answer: 56°

Step-by-step explanation:

We know that a triangle's angles add up to 180 degrees. We will create an equation to help us solve for x using this information.

     Given:

           2x + 3x + 40 = 180

     Combine like terms:

           5x + 40 = 180

     Subtract 40 from both sides of the equation:

           5x = 140

     Divide both sides of the equation by 5:

           x = 28

Next, we will substitute this value of x into the expression for ∠A.

     ∠A = 2x = 2(28) = 56°

Solution

Which constant term would mean that the

expression is completely factored:

Using the constant of +10

Hence the correct answer is 10

Answer:

\((x,y) = (0,7)\)

\((x,y) = (3,7)\)

Step-by-step explanation:

The question and the attached image are different. However, the attached image answers the question y = -4 correctly.

So, I will solve for: \(y = -x + 7\)

Given

\(y = -x + 7\)

Required

Possible values of x and y

Let x = 0:

\(y = -x + 7\)

\(y = -0 + 7\)

\(y = 7\)

So, we have:

\((x,y) = (0,7)\)

Let y = 4

\(y = -x + 7\)

\(4 = -x + 7\)

Collect Like Terms

\(x = -4 + 7\)

\(x =3\)

So, we have:

\((x,y) = (3,7)\)

So, all you need to do is: assume a value for either x or y, then solve for the other variable.

Answer:

2√15x

Step-by-step explanation:

√(60x)

= √(4*15*x)

= √4 * √15x

= 2√15x

Answer:

the solution to the system of equations is (x, y) = (3, -2).

Step-by-step explanation:

y = -2x + 4 (Equation 1)

y = x - 5 (Equation 2)

To solve for x, we can equate the right sides of the equations:

-2x + 4 = x - 5

Now, we can solve for x:

-2x - x = -5 - 4

-3x = -9

x = (-9) / (-3)

x = 3

Substituting the value of x back into Equation 2, we can solve for y:

y = 3 - 5

y = -2

Answer:

$24

Step-by-step explanation:

First, find the cost to cover one pair of shoes.

Cost to cover one pair of shoes = surface area of the shoe box × cost per square inch

= 2(LW + LH + HW) × 0.02

L = 14 in.

W = 8 in.

H = 4 in.

Plug in the values

Cost to cover one pair of shoes = 2(14*8 + 14*4 + 4*8) × 0.02

= 2(112 + 56 + 32) × 0.02

= 2(200) × 0.02

= 400 × 0.02 = 8

Cost to cover one pair of shoes = $8

Cost to cover 3 pairs of shoes = 3*8 = $24

Answer:

Its eather 2a or -18

Step-by-step explanation:

I think its one of those two

Could i have a heart and branliest please.

The nominal rate per annum compounded half-yearly, equivalent to an effective rate of 14.5% per annum, is approximately 14.900625%.

To convert an effective rate to a nominal rate compounded half-yearly, we can use the formula:

Nominal rate \(= (1 + r/m)^m - 1\)

Where:

r = effective rate

m = number of compounding periods per year

In this case, the effective rate is 14.5% per annum, and we want to convert it to a nominal rate compounded half-yearly.

Since compounding is done semi-annually, m would be 2.

Plugging in the values:

Nominal rate \(= (1 + 0.145/2)^2 - 1\)  

Simplifying the expression inside the parentheses:

Nominal rate \(= (1 + 0.0725)^2 - 1\)

Calculating the exponent:

Nominal rate \(= (1.0725)^2-1\)

Performing the calculations:

Nominal rate = 1.14900625 - 1

Nominal rate = 0.14900625

Converting the nominal rate to a percentage:

Nominal rate = 14.900625%

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The group of measures which would lead to the provided conclusion is the range is 7, the mean of the data is 12, the median is 12 and the mode is 11.

Given that, the data is around 12. If another measurement were taken, it would probably be around 12.

We need to find which group of measures would lead to this conclusion.

The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.

The median of the data is the middle value of the data set when it arrange in ascending or descending order. The data is around 12 which suggests that the median is 12.

Median=12

The mode of a data set is the value, which occurs most times for that data set. The value which has the highest frequency in the given set of data is known as the mode of that data set.

Mean and mode is around the median. For this case, the mean of the data is 12 and the mode is 11.

Mode=11

Mean=12

Thus, the group of measures which would lead to the provided conclusion is the range is 7, the mean of the data is 12, the median is 12 and the mode is 11.

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Answer:

40 passes

Step-by-step explanation: divide 15 games by 3, and them multiply them bye 8, hope it helps:)

Graph the -4 on the X-axis, and the 6 on the Y-axis

~theLocoCoco

Answer:

I added a picture of a coordinate plane below.

First of all, you should know that the first number should always be on the X-axis, and the second is always on the y-axis.

The x-axis is the horizontal line. The y-axis is the vertical line.

I have this little trick that will help you find the place to put the dot:

So, now you have to look for -4 on the x-axis. Put your finger on it.

Now, search for 6 on the y-axis. Put your finger on there once you found it.

Finally, push your finger on the -4 up, and push up your finger on 6 until they meet. That's where your dot will go.

8098 * 7072 = 57,269,056

Answer:

Standard deviation = 4

Step-by-step explanation:

Given the following data;

Mean = 25

Variance = 16

To find the standard deviation;

Mathematically, standard deviation is given by the formula;

\(Standard \; deviation = \sqrt{variance}\)

Substituting into the formula, we have;

\(Standard \; deviation = \sqrt{16}\)

Standard deviation = 4

Answer:

1

Step-by-step explanation:

Computing Tv(X, X + a ) for any a∈(0,1)

Given that :  X∼Ber(0.5)

∴ The probability mass function

    P(X = 1 ) = 0.5

    P(X = 0) = ( 1 - 0.5 )

and expectation  E[X] = 0.5

hence ; TV ( X, X + a ) = 1

Answer:its 309

Step-by-step explanation:

Using tables we get that:

Answer: 0.9582.

Answer:

552.64\(mm^{2}\)

Step-by-step explanation:

base area is a circle, so

base=\(\pi r^{2}\)=3.14x\(8^{2}\)=200.96 \(mm^{2}\)

c= \(2\pi r\)=2x3.14x8=50.24

surface =2 x base +c x height=2x200.96+50.24x3

                                             =401.92+150.72

                                              =552.64\(mm^{2}\)

Answer:

Volume = 192π mm^3
Surface Area = 174π mm^2

Step-by-step explanation:

First, let's find the volume of the object. Because we know the radius of the cylinder, we can use the equation πr² to find the area of the circle. That gives us 64π, and all we have left to do is multiply by the height of the object which is 3. This gives us an area of 192π.

Next, let's find the surface area. To find the SA around the cylinder, we'll find the circumference of the circle then multiply by the height. 2πr for the circumference of the circle gives us 16π, and multiplying by the height gives us 48π. All that's left to do is add the area of the top and bottom circle which we've already determined to be 64π (multiply it by 2 because there are 2 circles) 48π+128π is 174π, which is our final Surface Area.

Answer:

adult tickets x=88  and senior tickets y=52

Step-by-step explanation:We can take adult ticket as x and senior ticket as y.

Now we will form two equations

x + y = 140

13x + 10y = 1664

This system of equations we will solve using Gaussian algorithm (gradual elimination of the variables)  

We will multiply first equation with (-10) and get

-10x-10y=-1400 Than we will add to second equation and get

3x=264 => x=264/3=88 => x=88

Now we will replace x in the first equation before multiplying and get

88+ =140 => y= 140-88= 52 => y=52

adult tickets x=88  and senior tickets y=52

Good luck!!!

Answer:

\(x=2\)

Step-by-step explanation:

\(-3+6x=25-8x\)

\(-3+6x+3=25-8x+3\)

\(6x=-8x+28\)

\(6x+8x=-8x+28+8x\)

\(14x=28\)

\(\frac{14x}{14}=\frac{28}{14}\)

\(x=2\)

~

Hope this helps!

Answer:

i believe it's 39

Step-by-step explanation:

29 -39 = -10

Answer:

The equation is \(t(n) = -4 + 4(n-1)\)

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms, called common difference, is always the same.

The general equation for an arithmetic sequence is:

\(t(n) = t(1) + d(n-1)\)

Taking the mth term as reference, the equation can be written as:

\(t(n) = t(m) + d(n-m)\)

t(4) = 8 and t(10) = 32

The common difference can be found:

\(t(n) = t(m) + d(n-m)\)

\(t(10) = t(4) + d(10-4)\)

\(6d = 24\)

\(d = \frac{24}{6} = 4\)

So

\(t(n) = t(1) + 4(n-1)\)

Finding the first term:

\(t(4) = t(1) + 4(n-1)\)

So

\(t(1) = t(4) - 12 = 8 - 12 = -4\)

So

The equation is \(t(n) = -4 + 4(n-1)\)