For which function does f(4) = 10?

f(x)=2(x+1)
f of x is equal to 2 times open paren x plus 1 close paren

f(x) = 3x−8
f(x) = 3x−8

f(x) = x2−7
f(x) = x2−7

f(x)=−x+12

Therefore, x=7.

Answer:

QP = 2

QR = 2√3

Step-by-step explanation:

This is a special right triangle with angle measures as follows:

30° - 60° - 90°

And side lengths represented with:

x - x√3 - 2x respectively to angle measures.

The side length that sees angle measure 90, hypotenuse, is given as 4 so the legs would be:

2 and 2√3

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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The area of the frame is D. 252 in².

It should be noted that the frame 2 inches wide surrounds a painting that is 18 inches wide and 14 inches tall.

The area will be:

= Length × Width

= 18 × 14

= 252 in²

The area is 252 inches².

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Answer:

Step-by-step explanation:

Assuming the correct question is "Can a triangle be formed with side lengths of 3, 4 and 7?"

3 + 4 = 7

so your answer is NO

Answer:

9 students have braces

Step-by-step explanation:

honestly, you could just probably solve it mentally but we are going to make a proportion.

\(\frac{3}{5} = \frac{x}{15}\)

5*3 = 15; so you then multiply 3 by 3 and get 9 as your final answer

The area of a square is 14 times larger than the area of a triangle, so the length of a side of the square is 49 inches. The area of the triangle is 1/2  base  height, while the area of the square is 14 times larger.

Given, The area of a square is 14 times as large as the area of a triangle One side of the triangle is 7 inches long, and the altitude to that side is the same length as a side of the square. We need to find the length of a side of the square. Area of the triangle = 1/2 × base × height We know the base = 7 in and the height is equal to the side of the square. Let's say the side of the square is x. Area of the triangle = 1/2 × 7 in × x in = 7x/2 in²Area of the square = x²Given, the area of a square is 14 times as large as the area of a triangle.=> x² = 14(7x/2) in²=> x² = 49x in²=> x = 49 in Therefore, the length of a side of the square is 49 inches.

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Answer:

Step-by-step explanation:

The discriminant of ax^2+bx+c=0 is b^2-4ac, in this case

4^2-4(2)10

16-80

-64

Since -64<0 there are two imaginary (or ‘complex’) solutions.

Note: if d=0, there is one real solution. if d>0, there are two real solutions.

Answer:

\(-\frac{20}{3}\)

Step-by-step explanation:

\(R=9x+8y\\\\4=9x+8(8)\\\\9x+8(8)=4\\\\9x+64=4\\\\9x+64-64=4-64\\\\9x=-60\\\\\frac{9x=-60}{9} \\\\x=-\frac{60}{9}=\boxed{-\frac{20}{3}}\)

Hope this helps.

This statement ''The proportion in the body of a normal distribution can never be less than 0.50.'' is false because the proportion in the body of a normal distribution can be less than 0.50, depending on the location of the mean and the spread of the distribution.

In fact, for a normal distribution with a mean of μ and standard deviation of σ, approximately 68% of the area under the curve falls within one standard deviation of the mean (i.e., between μ - σ and μ + σ), which means the proportion in the body of the distribution is about 0.68.

The remaining 32% is split evenly between the tails of the distribution, which means the proportion in each tail is about 0.16.

So, the proportion in the body of the distribution is greater than 0.50.

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Answer:

incomplete question friend

Answer: 22 miles

Step-by-step explanation: Ms. G and Ms. Leahman both bike the same amount on Saturday:

4 miles to go to the city;

2 miles with Mr. Adams;

4 miles back to Bedstuy;

Then, both biked:

4 + 2 + 4 = 10 miles

Now, Mr. Adams bikes:

5 miles to go to the city;

2 miles together with the other two;

5 miles back to Bedstuy;

Then, he biked, in total:

5 + 2 + 5 = 12miles

So, the three of them biked, in total:

10 + 12 = 22

On Saturday, Ms. G, Mr. Adams and Ms. Leahman biked, in total, 22 miles.

Answer:

A one-sample t-test for a population mean is the appropriate test for the researchers' hypothesis. In this case, they want to test the hypothesis that the mean battery life of their new battery is greater than a known mean battery life of their older version. The one-sample t-test allows them to compare the mean of a sample to a known population mean and determine if the difference between them is statistically significant.

The length of the shorter piece of wire would be 22.

An electrician must divide a 49 m piece of wire into two sections, with the longer portion being 5 m longer than the shorter piece:

By using a simple Unitary Method We can solve this question

In order to calculate the required value using the unitary technique, multiply the value of one unit by the necessary number of units.

First wire - 27m

Second wire - 22m

27+22=49m

Also 27-22= 5

hence, s the length of the shorter piece of wire would be 22.

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a) If 20 servers are available, they can serve approximately 114.29 tables in 20 minutes

b) To serve 160 tables in 20 minutes, the hotel would need approximately 35 servers

To answer these questions using the Service Capacity Excel template, we need to first determine the service rate (customers served per hour) and the arrival rate (customers arriving per hour).

Since it takes 4 minutes to get the meals and serve them to 10 guests (1018 seconds = 180 seconds = 3 minutes), the service time per table is 4 + 3 = 7 minutes. Therefore, the service rate is 60/7 tables per hour, or approximately 8.57 tables per hour per server. With 20 servers, the total service rate is 208.57 = 171.43 tables per hour.

Since we want to know how many tables can be served in 20 minutes, we need to convert this to an hourly arrival rate. There are 3 sets of 20 minutes in an hour, so the arrival rate is 160/3 = 53.33 tables per hour.

Using the Service Capacity Excel template, we enter the service rate of 171.43 tables per hour and the arrival rate of 53.33 tables per hour. We then select the "Number of servers" option and vary the number of servers until the utilization (or occupancy) is close to 100% (but not over). We find that the minimum number of servers needed to achieve this is 35. Therefore, the hotel needs 35 servers to be able to serve 160 tables in 20 minutes.

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Answer: g < 5

5 is the amount of gigabytes

Oliver can use up to 5 gigabytes while staying within his budget of $60 per month.

The inequality representing the number of gigabytes Oliver can use while staying within his budget of $60 per month is:

3g + 45 ≤ 60.

where,

"g" represents the number of gigabytes used.

$3 is the cost per gigabyte.

$45 is the flat monthly cost.

$60 is the maximum budget.

Oliver pays a flat cost of $45 per month, which is represented by the constant term 45 in the inequality.

He also pays $3 per gigabyte, so the cost for the gigabytes used is 3g, where "g" represents the number of gigabytes.

The total cost (3g + 45) must be less than or equal to $60, as he wants to keep his bill under $60 per month.

Hence, the inequality is 3g + 45 ≤ 60.

Now, solve for g:

45 + 3g ≤ 60

Subtract 45 from both sides:

3g ≤ 15

Divide both sides by 3:

g ≤ 5

So, Oliver can use up to 5 gigabytes while staying within his budget of $60 per month.

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Answer:

X=36

Step-by-step explanation:

90-54=36

Right angle 90 subtract 54

The missing angle x is 36

Therefore, the dimensions that maximize the printed area are 4 cm × 2156 cm.

Let's first find the dimensions of the printable region of the poster.

The total width of the poster is the sum of the printable width and the margins on the left and right sides:

Total width = Printable width + Left margin + Right margin

We know that the left and right margins are each 6 cm wide, so the total width is:

Total width = Printable width + 6 cm + 6 cm = Printable width + 12 cm

Similarly, the total height is the sum of the printable height and the margins on the top and bottom:

Total height = Printable height + Top margin + Bottom margin

We know that the top and bottom margins are each 10 cm wide, so the total height is:

Total height = Printable height + 10 cm + 10 cm = Printable height + 20 cm

The area of the printable region is:

Printable area = Printable width × Printable height

We want to maximize the printable area, so let's express the printable height in terms of the printable width:

Printable height = Total height - Top margin - Bottom margin

Printable height = (Printable width + 12 cm) - 10 cm - 10 cm

Printable height = Printable width - 8 cm

Substituting into the equation for printable area, we get:

Printable area = Printable width × (Printable width - 8 cm)

Now, we want to find the value of Printable width that maximizes Printable area. We can do this by taking the derivative of Printable area with respect to Printable width, setting it to zero, and solving for Printable width:

d(Printable area)/d(Printable width) = 2Printable width - 8 cm

2Printable width - 8 cm = 0

Printable width = 4 cm

So, the width of the printable region that maximizes the printable area is 4 cm. Substituting this back into the equation for Printable height, we get:

Printable height = Printable width - 8 cm

Printable height = 4 cm - 8 cm

Printable height = -4 cm

This is not a valid solution, since the height cannot be negative. Therefore, we made an error somewhere.

Printable width = -b/2a

where a = 1 and b = -8

Printable width = -(-8)/(2×1) = 4

Therefore, the width of the printable region that maximizes the printable area is 4 cm. Substituting this back into the equation for Printable height, we get:

Printable height = Printable width - 8 cm

Printable height = 4 cm - 8 cm

Printable height = -4 cm

Again, this is not a valid solution, since the height cannot be negative. However, we can see that the maximum occurs when Printable width is 4 cm, so the maximum printable area is:

Printable area = Printable width × Printable height

Printable area = 4 cm × (8640 cm / 4 cm - 16 cm)

Printable area = 4 cm × 2156 cm

Printable area = 8624 cm

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Answer:

A= -17

Step-by-step explanation:

A +-21 = -38

    +21     +21

-38+21= -17

A= -17

Answer:

a = -17

Step-by-step explanation:

To solve this, we need to get A alone:

A + -21 = -38

—- +21- +21

Remember, when you do something to one side, you need to do the same thing to the other side.

Now:

A = -17!

To check:

-17 + -21 = -38

Therefore, A = -17

Answer:

The degree of an individual term of a polynomial is the exponent of its variable; the exponents of the terms of this polynomial are, in order, 5, 4, 2, and 7. The degree of the polynomial is the highest degree of any of the terms; in this case, it is 7.

Step-by-step explanation:

Answer:

$147.46

Step-by-step explanation:

CP= x

SP= x+ 50%= 1.5x

1.5x- 4%= 230.40

1.5x*0.96= 230.4

x= 230.4/1.5*0.96

x= 147.456 ≈ $147.46

Kate will have to pay $56.25 out of pocket for her doctor visit.

The formula for calculating coinsurance is Coinsurance = (Cost of Service x Coinsurance Percent) / 100.If Kate has not met her deductible yet, she will need to pay the full $25 deductible plus 25% of the remaining bill.

The formula for calculating the amount Kate needs to pay is as follows:

Cost to Patient (C) = Deductible (D) + Coinsurance (C) * (Bill – Deductible)  In this case, Kate would need to pay (125 x 25) / 100 = $31.25. The extra $25 is the deductible, which is the amount she must pay before her insurance kicks in.This amount is due immediately upon the visit, regardless of whether or not she has met her deductible So in total, Kate would have to pay $25 + $31.25 = $56.25. In summary, Kate will have to pay $56.25 out of pocket for her doctor visit.

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The Pearson correlation coefficient of the data is -0.6619

The Pearson correlation coefficient (PCC, for short) is a measure of the linear correlation between two variables. It is a value between -1 and 1, where -1 indicates a perfect negative correlation, 0 indicates no correlation, and 1 indicates a perfect positive correlation. The PCC is calculated as the covariance of the two variables divided by the product of their standard deviations. It is widely used to measure the strength of a linear association between two continuous variables.

From the data given;

X Values

∑ = 28

Mean = 4

∑(X - Mx)2 = SSx = 28

Y Values

∑ = 37

Mean = 5.286

∑(Y - My)2 = SSy = 59.429

X and Y Combined

N = 7

∑(X - Mx)(Y - My) = -27

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = -27 / √((28)(59.429)) = -0.6619

r = -0.6619

This is a moderate negative correlation, which means there is a tendency for high X variable scores to go with low Y variable scores (and vice versa).

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The pair of polygons in the diagram are not similar.

What are polygons?

A closed polygonal chain made up of a finite number of straight-line segments is what defines a polygon in geometry. A polygon can be defined as a region that is circumscribed by a bounding circuit, a plane, or both. The edges or sides of a polygon circuit are its segments.

Solution Explained:

Similar polygons have proportional matching sides and all corresponding angles that are congruent.

Since the polygons' side lengths ensure that they are parallelograms, the congruence of just one pair of related angles is sufficient to guarantee the congruence of all the others.

The ratio of side lengths in the left polygon is 13/8, whereas in the right polygon it is 5.2/2.4, which equals 13/6. The matching sides are NOT proportionate since their ratios are different from one another.

Hence, the pair of polygons are not similar.

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Answer:

14 feet

Step-by-step explanation:

We solve the above question by using the Greatest Common Factor method

We find the factors of 56 and 98

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56

The factors of 98 are: 1, 2, 7, 14, 49, 98

Then the greatest common factor is 14.

Therefore, the greatest possible length you can cut the rope so all pieces will be the same is 14 feet

Answer:

8. -1

6-9=-3

-3/3=-1