Use the interactive to graph the line that goes through points ( -4 and -2 ) and (2,0), point (a,1) lies on the line you graphed what is the value of a?

The street can be represented in slope intercept form as follows:

y = x + 4

Linear equation can be represented in slope intercept form as follows:

y = mx + b

where

Parallel lines have the same slope.

The street goes by the name y = x + 17.

The slope of the street is 1.

Therefore, the street parallel to that one should have the same slope.

The street can be represented in slope intercept form is as follows:

y = x + 4

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Answer:

The volume is 1436.8\(in^2\) .

Step-by-step explanation:

-To find the volume of a sphere, you need the formula:

\(V = \frac{4}{3} \pi r^3\)

-Use the radius for the formula:

\(V = \frac{4}{3} \pi 7^3\)

-Then, you solve:

\(V = \frac{4}{3} \pi 7^3\)

\(V = \frac{4}{3}\) × \(\pi\) × \(7^3\)

\(V = \frac{4}{3} \pi\) × \(343\)

\(V = \frac{1372}{3} \pi = 1436.755\)

-Round the answer to the nearest tenth:

\(V = 1436.8\)

So, therefore the volume is 1436.8\(in^2\) .

Answer:

The volume is 1436.8 .

Step-by-step explanation:

-To find the volume of a sphere, you need the formula:

-Use the radius for the formula:

-Then, you solve:

×  ×

×

-Round the answer to the nearest tenth:

So, therefore the volume is 1436.8

The sum to infinity of the function is -3/2

from the question, we have the following parameters that can be used in our computation:

\(\sum\limits^{\infty}_{1} {3^n} \,\)

From the above sequence, we have

First term, a = 3

Common ratio, r = 3

The sum to infinity of the function is calculated as

Sum = a/(1 - r)

So, we have

Sum = 3/(1 - 3)

Evaluate

Sum = -3/2

Hence, the sum is -3/2

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Question

Calculate the sum to infinity of the function for

\(\sum\limits^{\infty}_{1} {3^n} \,\)

The function f is increasing on the interval (6, ∞).

The function f will be increasing in the intervals where f'(x) > 0.

To find these intervals, we can examine the sign of each factor of f'(x), which is (x + 1)²(x - 3)⁵(x - 6)⁴.

We can analyze the sign of f(x) by considering the factors individually:

(x+1)²: This factor is always positive since it is the square of a real number.

(x - 3)⁵: This factor is positive when x>3 and negative when x< 3.

(x - 6)⁴: This factor is positive when x>6 and  negative when x< 6.

We need to consider the overlapping regions of positivity for each factor.

When x>6, all three factors are positive, so  f ′ (x) is positive.

When 3<x<6: In this interval, the factor  (x+1)² is positive, but both (x−3)⁵ and (x−6)⁴ are negative.

Thus, f ′ (x) is negative.

When x<−1: In this interval,  (x+1)² is negative, while (x−3)⁵ and (x−6)⁴ are positive.

Hence, f ′ (x) is negative.

Therefore,  the function f(x) is increasing on the interval x>6.

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The correct answer is B. The slope of a line will be a small positive number for a fairly flat upward-sloping line.

The slope of a line will be a small positive number for a fairly flat upward-sloping line. Slope measures the change in the y-value of a point on the line, divided by the change in the x-value. The formula for finding the slope is \(m = (y2 - y1) / (x2 - x1)\). A fairly flat upward-sloping line would have a positive slope, however it would be a small number since the line does not rise drastically. For example, if the x-values are 0 and 1 and the y-values are 1 and 2, then the slope would be m = (2 - 1) / (1 - 0) = 1, which is a small positive number.

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Pat left the office at 10:50 am.

What is the relation between speed, distance, and time?

The relation between speed, distance, and time would be

distance = speed x time

We know that Pat had a 12:30 pm appointment 72 miles from his office, arrived ten minutes late, and averaged 48 mph for the trip. So we can set up the equation as:

distance = speed x time

72 = 48 x time

To solve for time, we divide both sides of the equation by 48:

time = distance / speed

time = 72 / 48

time = 1.5 hours

Since Pat arrived 10 minutes late, we need to subtract that 10 minutes from the time it took him to get to the appointment

12:30pm - 00:10 = 12:20 pm

Now, we have to subtract the time it took Pat to get to the appointment from the time he left the office

12:20 pm - 1.5 hours = 10:50 am

So Pat left the office at 10:50 am.

Hence, Pat left the office at 10:50 am.

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Answer:

6/8

Step-by-step explanation:

3/4 is equal to 6/8.

The area of the given figure is 144cm²

The given figure is a composite figure composed of a parallelogram, a square, and a rectangle.

Get the area of the square

The area of the square?

Area = L²

Area of the square = 6² = 64cm²

Area of the triangle = 1/2 *6 * 10=30cm^2

Area of the triangle = 30cm²

Area of the second triangle=14cm^2

For the parallelogram:

Area of the parallelogram = Base * Height

Area of the parallelogram = 12 * 4

Area of the parallelogram  = 36 cm²

Area of the figure = 64cm² + 30cm² + 36cm²+14cm^2

Area of the figure = 130cm²

Hence the area of the figure is 144 cm²

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The margin of error for the confidence interval is approximately 0.014, indicating that the estimate of the proportion of dissatisfied customers could be off by approximately plus or minus 0.014. This means that we can be 95% confident that the true proportion of dissatisfied customers falls within the range of the estimated proportion ± 0.014.

(a) To find the sample size needed to achieve a margin of error of about 0.015 with a 95% confidence level, we can use the formula for sample size calculation for proportions:

n = (Z^2 * p * (1-p)) / E^2

Where:

n = sample size

Z = critical value (corresponding to the desired confidence level)

p = estimated proportion of the population

E = margin of error

In this case, the estimated proportion of dissatisfied customers is 0.17, and the desired margin of error is 0.015. Since we want a 95% confidence level, the critical value can be obtained from a standard normal distribution table. The critical value for a 95% confidence level is approximately 1.96.

Plugging these values into the formula, we have:

n = (1.96^2 * 0.17 * (1-0.17)) / 0.015^2

n ≈ 1901.63

Therefore, the sample size needed is approximately 1902.

(b) If 25% of the sample say they are not satisfied, we can calculate the margin of error using the following formula:

MoE = Z * sqrt((p * (1-p)) / n)

Where:

MoE = margin of error

Z = critical value (corresponding to the desired confidence level)

p = proportion of the sample

n = sample size

Using the same critical value of 1.96 for a 95% confidence level and plugging in the values:

MoE = 1.96 * sqrt((0.25 * (1-0.25)) / 1902)

MoE ≈ 0.014

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Answer:

the answer is a

Step-by-step explanation:

because3 im smart unlike you

The sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.

A convergent series is a series whose partial sums tend to a specific number, also called a limit. A divergent series is a series whose partial sums, by contrast, don't approach a limit. Divergent series typically go to ∞, go to −∞, or don't approach one specific number.

The given sequence is 1/117659, 1/16807, 1/2401...

Here, common ratio is

1/16807 ÷ 1/117659

= 1/16807 × 117659/1

= 117659/16807

= 7

Now, 1/2401 ÷ 1/16807

= 1/2401 × 16807/1

= 16807/2401

= 7

Hence, the sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.

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The instantaneous acceleration at time t = 11.25 s is a = 8 m/s².  

What is acceleration?

A definition of acceleration is the speed at which velocity varies with respect to time. Since acceleration has both a magnitude and a direction, it is a vector quantity. Additionally, it is the first derivative of velocity with respect to time or the second derivative of position with respect to time.

The graph for the acceleration points are given.

Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.

From graph instantaneous acceleration at time 11.25s is 8 m/s².  

Therefore, the value is obtained as a = 8 m/s².  

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The skip interval should be 40 if the sampling frame has 2000 names and the desired sample size is 50.

Systematic sampling is a type of sampling which uses the probability method where researchers select members of the group or population at a regular interval.

To determine the skip interval, it is necessary to first determine the sample size. Then the skip interval can be determined by dividing the total population by the target/desired sample size. Therefore;

skip interval = population / target sample size

Substituting the given values;

skip interval = 2000 / 50

skip interval = 40

Hence, the skip interval is calculated to be 40 if the frame has 2000 names and the desired sample size is 50.

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Answer:

4x² + 29x + 7 = (4x + 1)(x + 7)

Step-by-step explanation:

Like terms are terms with same variable and same power.

       Perimeter = sum of all the sides

                         = 3x² + 1 + 15x + 6 + x² + 14x

                         = 3x² + x² + 15x + 14x + 1 + 6

Combine like terms,

                        = 4x² + 29x + 7

Factorize:

        Sum = 29

  Product = 4*7 = 28

   Factors = 1 , 28    {28 + 1 = 29 & 28*1 = 28}

Rewrite the middle term using the factors,

                           = 4x² + x + 28x + 7

                           = x(4x + 1) + 7(4x + 1)

                           = (4x + 1)(x + 7)

Answer:

0.1296

Step-by-step explanation:

0.6*0.6=0.36

0.6*0.36=0.216

0.6*0.216=0.1296

Answer:

25.12 inches

Step-by-step explanation:

Maria must cut an additional $70 from her expenses each month in order to save enough money to buy a new TV that costs $420 in 6 months. By allocating this additional amount towards her savings goal, she will be able to reach her target within the desired timeframe. It's important for Maria to review her budget and identify areas where she can reduce expenses in order to make room for the additional savings. This could involve cutting back on discretionary spending, finding ways to save on daily expenses, or exploring opportunities to increase her income.

Maria must cut an additional $70 from her expenses each month.

To determine how much additional money Maria must cut from her expenses each month to afford a new TV that costs $420 in 6 months, we divide the total cost by the number of months.

Additional money per month = Total cost / Number of months

Additional money per month = $420 / 6

Additional money per month = $70

With careful planning and commitment to her budget, Maria can achieve her goal of purchasing a new TV without compromising her financial stability.

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The actual area of the apartment's living room is 10 \(m^{2}\)

Given

Room is in the shape of a rectangle

Length of the room  (L)= 10 cm

Width of the room    (W) = 4 cm

Also the scale of floor plan is 2 cm for every 1 meter

Initially the are of the living room = area of rectangle

Area of the rectangle = length × width

                                   = 10 × 40

                                   = 40  \(cm^{2}\)

To find actual floor area we need to scale the dimensions

Since 2cm = 1 m

10cm = 5m and 4 cm = 2m

Now calculating the actual area

Area = length × width

        = 5×2

        =10 \(m^{2}\)

Hence the actual area of the living room is 10 \(m^{2}\)

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Answer:

4 - 1 =3

4 - 1 =3

So, a and b is 3

Answer:

69.45 m to the nearest hundredth.

Step-by-step explanation:

I guees you want the length of one side.

A square has 4 sides of equal length and the area = s^2  where s = length of each side.

So the length of a side of a square of area 4823

= √(4823)

= 69.4478 m.

Answer: t=12

Step-by-step explanation:

t-2=10

add 2 to both sides of the equation

t=12

Answer: See explanation

Step-by-step explanation:

Your question isn't complete but let me help out. The value of each shirt will be gotten by subtracting $47.15 from the total amount paid for the shirt and jacket. Let's say the total amount paid is $90.02

Since the jacket cost $47.15, the cost of the shirts will be:

= $90.02 - $47.15

= $42.87

We would now divide the coat if the three shirts by 3. This will be:

= $42.87 ÷ 3

= $14.29

Answer:cacir

Step-by-step explanation:

Answer:

2+2x(7/7)= 0 (you do what's in the parenthesis first)

2+ 2x (1) =0 (then you multiply, and anything times 1 is itself)

2 + 2x= 0 (subtract 2 from both sides to get the x-term alone)

2x= -2 (divide both sides by 2 to get x isolated)

x= -1 (is your answer)

Slope intercept form is y=mx+b. So let's use the given equation and turn it into this form.

\(3x-5y=-30\)

Move the -3x to the right side

\(-5y=-3x-30\)

Divide both sides by -5

\(y=\dfrac{3}{5}x+6\)

This should be your answer, let me know if you need any clarifications, thanks!

Answer: -2, -4, -1

Step-by-step explanation:

\(17-7x > 3(10x-4)+61\\\\17-7x > 30x-12+61\\\\17-7x > 30x+49\\\\-32 > 37x\\\\x < -\frac{32}{37}\)

So, the values of x are -2, -4, -1.

Answer:

-4x+y=-22

Step-by-step explanation:

-4x +y= -22  is the equation of this line in Standard Form .

What is in slope-intercept form?

m = 4

the point =  (5, -2)

the equation of this line

          y - y₁ = m ( x - x₁)

          y - ( -2 ) = 4 ( x - 5 )

          y + 2 = 4( x - 5 )

           y + 2 = 4x - 20

            y = 4x - 20 - 2

            y = 4x - 22

          -4x +y= -22

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(x-2)(x+2) is factorize is given eq

Answer:

The probability  is  \(P( p  >  0.585) =  0.044565  \)

Step-by-step explanation:

From the question we are told that

   The population proportion is p =  0.50

   The sample size is n = 100

Gnerally the mean of the sampling distribution is  

          \(\mu_x =  0.50\)

Generally the standard deviation of the sampling distribution is  

              \(\sigma  =  \sqrt{\frac{p(1- p)}{n} }\)

=>            \(\sigma  =  \sqrt{\frac{0.5 (1- 0.5)}{100} }\)

=>            \(\sigma  =0.05\)

Generally the approximate probability that the cable company will keep the shopping channel

\(P( p  >  0.585) =  P(\frac{p- \mu_{x}}{\sigma }  > \frac{0.585 - 0.50}{0.05} )\)

Generally  \(\frac{p- \mu_{x}}{\sigma } = Z (The  \  standardized \  value  \  of  p )\)

=>  \(P( p  >  0.585) =  P(Z > 1.7 )\)

From the z-table the probability of  (Z > 1.7 ) is  

       \(P(Z > 1.7 ) = 0.044565\)

So \(P( p  >  0.585) =  0.044565  \)