7(x + 2) = 7x + 14 how many solutions are there

In order to fill the ice cream cone of the above mentioned dimensions of ice cream cone in the question  5 ice cream scoops are required.

The number of ice cream scoops that are needed to fill an ice cream cone with radius 2 inches and height 5 inches given that the ice cream scoop scoops out ice cream spheres with radius 1 inch can be calculated as follows: Volume of an ice cream cone is given by: V = (1/3)πr²hwhere r = radius and h = height of the cone, Radius of the ice cream cone, r = 2 inches, Height of the ice cream cone, h = 5 inches. Volume of the ice cream cone, V = (1/3)πr²h= (1/3) x (22/7) x 2² x 5= 20.95 cubic inches. The volume of a sphere is given by: V = (4/3)πr³where r = radius of the sphere.Radius of the ice cream sphere, r = 1 inch. Volume of the ice cream sphere, V = (4/3)πr³= (4/3) x (22/7) x 1³= 4.19 cubic inches.

Therefore, the number of ice cream scoops needed to fill the ice cream cone is given by: Number of scoops = Volume of the ice cream cone/Volume of the ice cream scoop= 20.95/4.19= 5 scoops. Hence, 5 ice cream scoops are required to fill the ice cream cone with radius 2 inches and height 5 inches.

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Answer: 16

Step-by-step explanation:

\(f(x)=x^2 + 2x + 1\)

Since the coefficient of x^2 is 1, we know that the graph does *not* open downwards. However, the graph has been shifted left and right. This will make the maximum occur at a different place than normally.

Specifically, it has been shifted to the left, by 1 unit.

So the maximum will occur at x = 3.

lets plug in:

\(f(3)=(3)^2 + 2(3) + 1\)

\(f(3)=9 + 6 + 1\)

\(f(3)=16\)

The largest y valye is 16

Answer:

16

Step-by-step explanation:

Answer:

m∠QPS = 59

Step-by-step explanation:

59 + (7x-5) = 180

x = 18

If you substitute 59 with the other answer options you will get a decimal.

I hope that this could help!!!!

Answer:

38/5

Step-by-step explanation:

Answer:

\(\frac{38}{15}\) or/and \(2 \frac{8}{15}\)

Step-by-step explanation:

Answer:

7172.6

Step-by-step explanation:

The values of w typically vary, on average, from the mean of the distribution about 3.46.

The degree of data dispersion from the mean is indicated by the standard deviation. A low standard deviation indicates that the data are grouped around the mean, whereas a high standard deviation shows that the data are more dispersed.

For a geometric(p = 0.25) distribution, the variance is computed here as:

Var(X) = (1 - p)/ p2 = (1 - 0.25) / 0.252 = 12

Therefore, the standard deviation is computed as:

= ✓(12) = 3.46 observations.

This is the standard deviation of the given distribution here.

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For every input value for x, there will be exactly one output value of y. Thus, the given equation shows the functional relationship.

A relation is just a collection of sorted pairs. Not every relationship is one that serves a purpose.

Given function:

y - 8x = 5

Write function 'y' in terms of 'x'.

y = 5 + 8x

As, the given function is linear.

Now, for every input value for x, there will be exactly one output value of y.

Thus, the given equation shows the functional relationship..

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These values represent the six trigonometric functions of angle A in the given right triangle. we find that c = 4.

The six trigonometric functions of angle A in right triangle ABC, we can use the given information.

We are given that side a has a length of 3 units and side b has a length of √7 units. Since angle C is 90°, we can use the Pythagorean theorem to find the length of side c (the hypotenuse) using the equation c² = a² + b².

Substituting the given values, we have c² = 3² + (√7)². Simplifying this equation gives us c² = 9 + 7 = 16. Taking the square root of both sides, we find that c = 4.

Now that we know the lengths of all three sides of the triangle, we can determine the trigonometric functions of angle A.

1. sin A = Opposite/Hypotenuse = a/c = 3/4

2. cos A = Adjacent/Hypotenuse = b/c = (√7)/4

3. tan A = Opposite/Adjacent = a/b = 3/(√7)

4. csc A = 1/sin A = 4/3

5. sec A = 1/cos A = 4/(√7)

6. cot A = 1/tan A = (√7)/3

These values represent the six trigonometric functions of angle A in the given right triangle.

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Answer:

4th option is the answer.

A drill-down report is a type of report that displays a greater level of detail as the user navigates through it.

A drill-down report is a type of report that allows the user to access a greater level of detail as they navigate through it. It is an interactive report that presents a summary of data initially and then allows the user to drill down to more detailed information.

The report provides a visual representation of data that can be explored at different levels of granularity, providing a deeper understanding of the underlying information. Drill-down reports are useful for decision-making because they provide insights into the root causes of issues or trends.

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Answer:

x = 100

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. In this case, you will add 10 to both sides of the equation, to isolate x:

x - 10 = 90

x - 10 (+10) = 90 (+10)

x = 90 + 10

x = 100

x = 100 is your answer to the equation.

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The complete statement is folk tales and fairy tales

Both folk tales and fairy tales are types of fiction because they are imaginative stories that are not based on factual events or characters.

Folk tales

Folk tales are stories with no known creator. They were originally passed down from one generation to another by word of mouth. Folk tales are a type of traditional literature that is deeply rooted in the culture of a particular region or community.

They often feature supernatural elements, and their origins can be traced back many centuries.

Because they were passed down orally, different versions of the same tale may have developed in different regions, with variations in characters, plot, and theme.

Fairy tales

Fairy tales were often created to teach children behavior in an entertaining way. Fairy tales are a type of story that typically features magical creatures or events and often have a moral or lesson to teach. They were originally intended for both adults and children and were used as a way to teach moral values, societal norms, and important life lessons in an entertaining way.

The fairy tale genre has evolved over time, and modern fairy tales may have different themes and messages than traditional ones.

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The confidence interval for the population mean has the following structure:

You have to add/subtract the margin of error to the point estimation.

The point estimation of the population mean is the sample mean, in this case, the sample mean is 300.

The margin of error is the second term of the formula:

-First, you have to determine the z-value to use for the confidence interval. To do so you have to use the confidence level:

Determine the value of 1-α/2

You have to use the Z-value that accumulates 0.975 of probability, that is:

Next, calculate the margin of error:

The margin of error rounded to the nearest hundredth is 13.03.

Subtract the margin of error from the mean to determine the lower bound:

Add the margin of error to determine the upper bound:

The 95% confidence interval is [286.97;313.03]

The confidence level of a confidence interval indicates the probability that the confidence interval will contain the true value of the estimated parameter. So if you were to construct 100 intervals, you would expect 95 of them to include the population parameter.

In terms of the exercise, you can interpret the calculated interval, with a 95% confidence level, you expect the interval [286.97;313.03] to contain the true value of the average GRE scores.

Answer:1, 3, 9, 27

Step-by-step explanation:

Answer:

x = 24

Step-by-step explanation:

x/4 + 10 =16

      -10    -10

x/4 = 6

*4     *4

x=24

hope this helps! :)

The selling price for the flat-screen TV for Thomas is $245.1. Here the total percentage of discount for him is 43%.

The formula for finding the selling price with a percentage of discount is

Selling price = Original price - original price × discount (in decimal)

It is given that,

Thomas receives a discount for flat screen tv on a sale = 33%

He also receives an additional discount on all merchandise at the store where he works = 10%

The original price of the TV is $430.

So, the total discount percentage = 33% + 10% = 43% = 0.43 (in decimal)

Then, the selling price of the tv for him is,

Selling price = Original price - original price × discount (in decimal)

                     = $430 - $430 × 0.43

                     = $430 - $184.9

                     = $245.1

Therefore, Thomas's selling price for the flat-screen tv is $245.1.

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Therefore, the measure of the shorter sides after reducing the scale drawing by a factor of 1/3 will be 11.5 cm.

Given that the scale rectangular drawing. The longer sides measure 40.5 centimeters and the shorter sides measure 34.5 centimeters.

Abby decides she wants the drawing to be smaller.

She will reduce it by a scale factor of 1/3.

We need to find the measure of the shorter sides after scaling down the drawing by a factor of 1/3.

Step 1:We need to calculate the new length of the shorter side after scaling it down by a factor of 1/3.

i.e. 34.5 cm x 1/3 = 11.5 cm

So, the new length of the shorter side will be 11.5 cm.

Step 2:Now, we will check the given answer options and select the correct one that represents the above solution:

Option A. 11.5 cm Option B. 22.5 cm Option C. 23.5 cm Option D. 24.5 cm

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Answer:

10/3 and 23/4

Step-by-step explanation:

Answer:

9 1/12

Step-by-step explanation:

3 1/3 + 5 3/4

Get a common denominator of 12

3   1/3*4/4 +  5  3/4 *3/3

3 4/12 + 5 9/12

8 13/12

8 + 12/12 + 1/12

8+1+1/12

9+1/12

9 1/12

Changing to improper fraction

3 1/3 = ( 3*3+1)/3 =10/3

5 3/4 = ( 4*5+3)/5 =23/4

Getting a common denominator

10/3 * 4/4 = 40/12

23/4 *3/3 =69/12

                   -------------

                   109/12

12 goes into 109  9 times

9*12 = 108  and that leaves 1 left over

9 1/12

Answer:

Step-by-step explanation:

As Jaxon holding his hands a distance of 2.5 feet above the ground.

means h1= 2.5 feet

elevation angle from the hand is 33° so ∅=33°

distance of kite from his hand is  150 feet

so from the image we can see , now

as we know that  ,

Sin∅ =h2/150

Sin33°=h2/150

0.55 =h2/150                   (Sin33°= 0.545)

so h2= 81.70 feet

so height from ground is (H)=h1+h2= 2.5+81.70

H=84.20 feet

The sampling plan's reliability or validity. Before using a sampling plan, it is crucial to examine its reliability or validity. This assessment helps determine how well the sampling plan can discriminate between good and bad quality.

Reliability refers to the consistency and stability of the sampling plan's results. A reliable sampling plan consistently produces similar outcomes when applied to the same population under similar conditions. If a sampling plan is unreliable, its results may vary widely, leading to inconsistent judgments about quality.

Validity, on the other hand, refers to the extent to which the sampling plan accurately measures or identifies the desired characteristics or qualities. A valid sampling plan provides a true representation of the quality being assessed and ensures that good quality is distinguished from bad quality effectively.

By examining the reliability and validity of a sampling plan, we can gain confidence in its ability to accurately discriminate between good and bad quality. This examination may involve conducting pilot tests, analyzing historical data, or seeking expert opinions to assess the plan's effectiveness and suitability for the specific context.

Without considering the reliability and validity of a sampling plan, there is a risk of making incorrect judgments or decisions based on flawed or biased sampling outcomes. Therefore, it is essential to evaluate these aspects before using a sampling plan to ensure the reliability and accuracy of the results obtained.

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Answer:

The Gold team has 8 swimmers and the silver team also has 8 swimmers.

Step-by-step explanation:

Let T be the total number of swimmers on the Gold team. Since, the Gold team has a 2:3 ratio of 11 year olds to 12 year olds, the number of 11 year old is T' = 2/(2 + 3) × T = 2T/5 and the number of 12 year olds is T" = 3/(2 + 3) × T = 3T/5.

The silver team has a 3:8 ratio of 11 year olds to the total swimmers. Let T₁ be the number of 11 year old swimmers in the silver team. So, from the ratio 3:8, the number of 11 year old swimmers in the silver team is 3 and the total number of swimmers in the silver team is 8.

Since the number of 11 year old swimmers in both teams are the same, then

2T/5 = 3

T = 3 × 5 ÷ 2

T = 15/2

T = 7.5

T≅ 8

So, the Gold team also has 8 swimmers.

So, the Gold team has 8 swimmers and the silver team also has 8 swimmers.

Answer:

\(4x^2\left(3x-1\right)\)

Key:

• \(a^{b+c}=a^ba^c\)

• Factor out the last leading term standing to solve in the end.

Step-by-step explanation:

\(12x^3-4x^2\\x^3=xx^2\\=12xx^2-4x^2\\=4\cdot \:3xx^2-4\cdot \:1\cdot \:x^2\\=4x^2\left(3x-1\right)\)

The concave mirror should be placed at a distance of 2r from the wall to form a real image of the object on the wall. The magnification of the image is expressed using three significant figures is -0.500.

if the object is placed at a distance r in front of a concave mirror whose radius of curvature is also r, then the image is formed at the same distance r behind the mirror. This is a special case called the "center of curvature" configuration.

To form a real image on the wall, the mirror must be placed such that the object is beyond the mirror's focal point. The focal length of the mirror is half of its radius of curvature, so the focal length is f = r/2.

If the object is placed at a distance x from the mirror, then using the mirror equation:

1/f = 1/do + 1/di

where do is the distance of the object from the mirror and di is the distance of the image from the mirror. In this case, do = x and di = r, so we get:

1/r = 1/x - 1/f

Substituting f = r/2, we get:

1/r = 1/x - 2/r

Solving for x, we get:

x = 2r

Therefore, the mirror should be placed at a distance of 2r from the object to form a real image on the wall.

To find the magnification of the image, we use the magnification equation:

m = -di/do

where m is the magnification, di is the distance of the image from the mirror, and do is the distance of the object from the mirror. In this case, do = x = 2r and di = r, so we get:

m = -r/(2r) = -1/2

Therefore, the magnification of the image is -0.500.

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Answer:

3+4+5+11= 56

Step-by-step explanation:

Answer:

he saved $25

Step-by-step explanation:

The answer is 25 because 15 multiplied by 5 is 75 and 5 multiplied by 5 is 25.

Answer: C

Step-by-step explanation:

Answer:

X = -14, Y = -79

Step-by-step explanation:

The two equations both equal Y, a constant, so they can be set to each other.

Find y by plugging -14 into X in either of the equations.

Side note: capitalized variables are generally unpreferred, hope your teacher stops using them! ;)

Answer:

$6200

Step-by-step explanation:

Given data

Rate= 4%

Principal=$5000

Time = 6 years

The simple interest formula is

A=P(1+rt)

substitute

A=5000(1+0.04*6)

A= 5000(1+0.24)

A=5000*1.24

A=$6200