F(x)= x2 + 11, find f(11)

Answer:

umm let me see

Step-by-step explanation:

He spent $14.44 more on groceries this week than last week

From the question, the given parameters are

Amount spent last week = $58.34

Amount spent this week = $72.78

The additional amount that was spent at the grocery store this week is calculated by subtracting the amount spent this week from the amount spent last week

This is represented as

Additional amount = Amount spent this week - Amount spent last week

Substitute the known values in the above equation

So, we have

Additional amount = 72.78 - 58.34

Evaluate the difference

Additional amount = 14.44

Hence, an additional of $14.44 was this week

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The calculated scale factor from ABC to A'B'C is 1/3

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

The triangles

From the triangles, we have the following parameters

A = (0, 3)

A' = (0, 1)

Using the above as a guide, we have the following:

Scale factor of the dilation = A'/A

So, we have

Scale factor of the dilation = (0, 1)/(0, 3)

Evaluate

Scale factor of the dilation = 1/3

Hence, the scale factor of the dilation is 1/3

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Size of the house should be 2900 ft².

Correct option is B.

We have,

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation.

Given,

Equation for the line that expresses price of house

y = 0.06x + 60.5

where y is the price in thousand dollars, x is area in square feet.

Price of the house = $235000

⇒ y = 235

Then,

235 = 0.06x + 60.5

0.06x = $235 - 60.5

0.06x = 174.5

x = 174.5/0.06

x = 2908.33 ≈ 2900

Hence, 2900 ft² should be the size of the house.

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complete question:

A house is listed for sale at $235,000, but the listing does not include square

footage of the house. Based on the comps, the line of best fit is

y=0.06x + 60.5. If the price is fair, what size (in square feet) should the house

be?

OA. 2850 ft2

OB. 2900 ft2

OC. 20,000 ft²

OD. 2350 ft²

The value of c in the triangle is (b) 5 units

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

The right triangle

The length c is the hypotenuse of one of the triangles and can be calculated using the following Pythagoras theorem

c² = sum of squares of the legs

Using the above as a guide, we have the following:

c² = 3² + 4²

Evaluate

c² = 25

Take the square roots

c = 5

Hence, the hypotenuse of the right triangle is 5

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The surface area of the pyramid is 113 cm².

A rectangular pyramid is a type of pyramid where the base is a rectangle and the triangular faces meet at a single point called the apex or vertex. It has five faces, including a rectangular base and four triangular faces, and it is a polyhedron with five vertices and eight edges.

The rectangular pyramid has a base of dimensions 7 cm by 5 cm, and the two large triangular faces have a height of 7.6 cm, while the two small triangular faces have a height of 8 cm.

To find the surface area of the pyramid, we need to find the area of each face and then add them up.

Area of the base:

The base of the pyramid is a rectangle with dimensions 7 cm by 5 cm, so its area is:

Area of base = length × width = 7 cm × 5 cm = 35 cm²

Area of the four triangular faces:

Each of the four triangular faces has a base of 5 cm (the width of the rectangle) and a height of either 7.6 cm or 8 cm. Using the formula for the area of a triangle, we can find the area of each face:

Area of each large triangular face = 1/2 × base × height = 1/2 × 5 cm × 7.6 cm = 19 cm²

Area of each small triangular face = 1/2 × base × height = 1/2 × 5 cm × 8 cm = 20 cm²

There are two large triangular faces and two small triangular faces, so the total area of the four triangular faces is:

Total area of four triangular faces = 2 × area of large triangular face + 2 × area of small triangular face

= 2 × 19 cm² + 2 × 20 cm²

= 78 cm²

Total surface area:

Finally, we can find the total surface area of the pyramid by adding the area of the base to the total area of the four triangular faces:

Total surface area = area of base + total area of four triangular faces

= 35 cm² + 78 cm²

= 113 cm²

Therefore, the surface area of the pyramid is 113 cm²

.

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Answer: YES

Step-by-step explanation: both equal 5 when divided.

According to the solving the function the value of  h(-2) + g(-2) is 45.

function is a mathematical phrase, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). Functions are used frequently in mathematics and are crucial for constructing physical links in the sciences.

To find h(-2) + g(-2), we need to evaluate h(r) and g(r) when r = -2, and then add the results:

h(-2) = 11(-2)² - 6 = 44

g(-2) = (-2)² + 8(-2) + 9 = 1

So, h(-2) + g(-2) = 44 + 1 = 45.

Therefore, h(-2) + g(-2) = 45.

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Answer:

1. 900 grams

2. 3 eggs

Step-by-step explanation:

1. 150 x 6 = 900

2. 450 / 150 = 3

Answer:

900 grams of flour are needed if six eggs are used. 3 eggs are needed if 450 grams of flour are used.

Step-by-step explanation:

First, multiply the number of large eggs by grams per large egg: 150×6=900

Next, divide the number of grams of flour by grams per large egg: 450/150=3

Answer:

Correct Work

5(x+9) - 3x +4

5x+ 45- 3x+ 4

5x-3x +45+4

2x+49

Mistake made:

Answer:

$ 56.25 is he answer

Step-by-step explanation:

.... .. . . . . . . ............ ......

Answer:

B for first one.

75 for second.

Hope this helps !

Step-by-step explanation:

Answer:

8/36

Step-by-step explanation:

The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.

To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.

The side length we will pick is AB which is:

= 6 - 2

= 4 units

The side length of the other triangle is A' B' :

= 3 - 1

= 2 units

The scale factor is:

= 2 / 4

= 1 / 2

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The distance between the two points is approximately 5.66 units

Using the formula for the distance between two points on a coordinate plane:

Distance = √[(y2 - y1)^2 + (x2 - x1)^2]

We can plug in the given values into the distance formula:

given that

y2 = 9, y1 = 13, x2 = 4, and x1 = 0

= √[(9 - 13)^2 + (4 - 0)^2]

= √[(-4)^2 + (4)^2]

= √(16 + 16)

= √32

= 4√2

= 5.6569

= 5.66

Therefore, the distance between the two points is approximately 5.66 units, which corresponds to option A.

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The probability that a person who tests positive actually has the disease is 0.012%

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

The probability that a person who tests positive actually has the disease is represented as

Probability = Incidence rate * False positive rate

Substitute the known values in the above equation, so, we have the following representation

Probability = 0.3% * 4%

Evaluate the products

Probability = 0.012%

Hence, the probability is 0.012%

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if a karaoke machine regularly costs $178 and is on sale for 15% off then the discount is $26.70.

percentage, a relative value indicating hundredth parts of any quantity.

Given that  karaoke machine regularly costs $178 and is on sale for 15% off.

To calculate the discount, we need to find 15% of the original price:

Discount = 15% of $178

Discount = 0.15 x $178

Discount = $26.70

Therefore, the discount is $26.70.

Hence, if a karaoke machine regularly costs $178 and is on sale for 15% off then the discount is $26.70.

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The measure of the two angles, one positive and one negative, that are coterminal with -90° and closer to it than any other coterminal angle, is 270° and -450° respectively.

Given that angle is - 90°.

For the coterminal angles that are closer to -90° than any other coterminal angle, consider angles that have the same initial and terminal sides as -90°.

Since -90° is in the fourth quadrant, look for angles that also fall in the fourth quadrant.

One positive coterminal angle in the fourth quadrant would be 270°.

This angle is closer to -90° than any other coterminal angle in the fourth quadrant.

One negative coterminal angle in the fourth quadrant would be -450°.

This angle is also closer to -90° than any other coterminal angle in the fourth quadrant.

So, the measure of the two angles, one positive and one negative, that are coterminal with -90° and closer to it than any other coterminal angle, is 270° and -450° respectively, both in the fourth quadrant.

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Answer: B.f(n)9n-12

Step-by-step explanation:

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer:

a. Yes, the lines are parallel. The rectangles create an optical illusion that makes the lines appear to be crooked.

b. Yes, the lines (3rd and 4th in diagram) are parallel. To show this is true, place two rulers or straightedges along the lines. You’ll then see that they’re parallel.

Step-by-step explanation:

PENN

Answer:

1.

a. 12° + 68° = 80 neither

b. 95°+ 85° = 180°  Supplementary angles

c.  43° + 48° = 91° neither

d.  70°+ 20° = 90°  Complimentary angles

2.

angle a = 140

angle b = 105

angle c = 60

3.

a. ∠1 = ∠AEB

b. ∠2 = ∠BEC

c. ∠3 = ∠CED

d. ∠4 = ∠DEA

4.

a. right

b. straight

c. obtuse

d. acute

5.

a. adjacent

b. adjacent

c. vertical

d. vertical

6.

a. perpendicular

b. parallel

c. neither

d. perpendicular

7.

a. Yes

b. Yes

Step-by-step explanation:

Step-by-step explanation:

By linear pair

53+TRV=180

TRV=180-53=127°

HOPE it helps

Answer:

127

Step-by-step explanation:

Answer:

45 newtons = 10.1164024 pounds/force

Step-by-step explanation:

Hope this helps!!!

The required mass of Aunt jane is given as 4.5 kilograms.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given that, Aunt Jane weighs 45 newtons.
So,
F = 45

Since F = Mg,
Mg = 45
M(10) = 45
N = 4.5 kilograms,

Thus, the required mass of Aunt jane is given as 4.5 kilograms.

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Answer:

K = 4 ; N = 106

Step-by-step explanation:

Given the following :

Source of VARIATION - SS - df - - MS - - - - - F

Between groups - 1,959.79 - 3 - - 653.26 - 21.16*

Error - - - - - - - - 3,148.61 - - - - 102 - - 30.86

Total - - - - - - - - - - - 5,108.41 - 105

The degree of freedom between group (treatment) (DFT) is obtained using the formula ;

K - 1, where k = number of groups observed

DFT = K - 1 ; From the ANOVA table, DFT = 3

3 = K - 1

3 + 1 = K

K = 4

To obtain sample size (N) :

Degree of freedom of Error (DFE) is the difference between the sample size and the number of groups observed.

DFE = N - K ; From. The table DFE = 102 ; K = 4

102 = N - 4

102 + 4 = N

N = 106

Answer:

\( - 4 < x \leqslant 5\)

I hope I helped you^_^

Answer:

There are 8568 ways to combine the shoes.

Step-by-step explanation:

In this case Connie wants to create smaller subsets from a larger group of things, therefore we must do a combination, which can be applied by using the following formula:

\(C_{(n,r)} = \frac{n!}{r!*(n - r)!}\)

In our case n = 18, which is the total number of shoes and r = 5, which is the subset she wants to create.

\(C_{(18,5)} = \frac{18!}{5!*(18 - 5)!} = \frac{18!}{5!*13!} = \frac{18*17*16*15*14*13!}{5!*13!}\\C_{(18,5)} = \frac{18*17*16*15*14}{5*4*3*2} = 8568\)

There are 8568 ways to combine the shoes.

The number of ways can she choose which shoes to take is 8,568.

Given that,

Based on the above information, the calculation is as follows:

\(= \frac{n!}{k!(n-k)!} \\\\= \frac{18!}{5!13!} \\\\= \frac{18\times 17\times 16\times\15\times \times 14}{5\times 4\times 3\times2\times 1}\)

= 8,568

Therefore we can conclude that The number of ways can she choose which shoes to take is 8,568.

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Absolute value: C

Quadratic: D

Constant: A

Square root: E

Linear: B

There are the equations for the graphs on the bottom:

y=2 is constant because the y value never changes

y=x is linear because the y value changes at a constant rate

y= |x| is absolute value because |x| is the absolute value of x

y=x^2 is quadratic because quadratic functions have a degree of 2

y=sqrt(x) is a square root because y= square root of x

Answer

x = 164.9 ft

Explanation:

Given the following figures

To find the distance from the point on the ground, we need to apply the SOH CAH TOA

Therefore, the distance is 164.9 ft

Step-by-step explanation:

f(x) = ³√(x - 3)

f(-61) = ³√(-61 - 3)

f(-61) = ³√-64

f(-61) = -4

f(128) = ³√(128 - 3)

f(128) = ³√125

f(128) = 5

Step-by-step explanation:

We define 3 events

A = event that driver is above speed limit

B = event that driver is below limit

T = event that the gun detected him

At 95%

P(A) = 1-0.95 = 0.05

P(B) = 0.95

P(T|A) = 0.98

P(A|T) = 0.02

P(T|B) = 1-0.99 = 0.01

P(B|T) = 0.99

1. For answer a

P(TnA) = P(A) x P(T|A)

= 0.05 x 0.98

= 0.049 is the probability gun detected speeding and the driver was speeding

2. For answer b

P(TnB) = P(B) x P(T|B)

= 0.95x0.01

= 0.0095 is probability that gun deects speeding and driver was not speeding

3. For answer c

We solve this using bayes theorem

P(B|T) = P(B) x P(T|B) / (P(B)*P(T|B)) + (P(A) +P(T|A))

= 0.095x0.01 divided by (0.95x0.01)+(0.05*0.98)

= 0.0095 divided by 0.0585

= 0.16239

= 0.1624 to 4 decimal places.