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Given f(x)=x³ + 2x² – 3x −6, what is f(−2)?

The surface area of the right rectangular prism is 398 square meters

The net of the right rectangular prism is the given parameter

On the net of the right rectangular prism, we have the following values

Length, l = 11 m

Width, w = 9 m

Height, h = 5 m

The surface area of the right rectangular prism is calculated using

Surface area = 2 * (l * w + l * h + w * h)

So, we have

Surface area = 2 * (11 * 9 + 11 * 5 + 9 * 5)

Evaluate the sum of products

So, we have

Surface area = 2 * 199

Evaluate the products

So, we have

Surface area = 398

Hence, the surface area of the right rectangular prism is 398 square meters

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Answer:

0.9x=459.99, $511.10

Step-by-step explanation:

If the original cost was x, the cost after the discount is 0.9x.

[tex]0.9x=459.99 \\ \\ x=\frac{459.09}{0.9}=511.10[/tex]

Answer: The answer is 7

Step-by-step explanation:

Absolute value is the final amount of spaces it is from 0 so -7 and positive 7 are both 7 spaces from 0 so I claim that 7 is the absolute value making Amanda wrong!

Answer:

74

Step-by-step explanation:

(74)-18=56

74 subtracted from 18 gives 56

Answer:

Igualdad matemática es la proposición de equivalencia existente entre dos expresiones algebraicas conectadas a través del signo = en la cual, ambas expresan el mismo valor. La relación de igualdad establecida en una expresión de este tipo se emplea para denotar que dos objetos matemáticos expresan el mismo valor.

Igualdad matemática es la proposición de equivalencia existente entre dos expresiones algebraicas conectadas a través del signo = en la cual, ambas expresan el mismo valor. La relación de igualdad establecida en una expresión de este tipo se emplea para denotar que dos objetos matemáticos expresan el mismo valor.Espero te sirva :))

The maximum possible perimeter of the triangle 25cm.

What is perimeter of a triangle?

The length of all a triangle's sides added together yields the perimeter of a triangle.

How to calculate the perimeter of a triangle?

Add the lengths of the triangle's sides to determine its perimeter. For instance, the perimeter of a triangle with sides a, b, and c is P = a + b + c.

Given the lengths of sides of triangle are 7cm, 8cm, and 10cm.

The perimeter of the triangle is 7 + 8 + 10 = 25cm

Therefore, the maximum possible perimeter of the triangle 25cm.

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Answer: B is the correct answer

Step-by-step explanation:hope it helps, brainliest? i could really use it

Answer: draw a parallelogram like figure A and make it the same area of the unlabeled rectangle.

Answer:

x = 110°

Step-by-step explanation:

It is given that,

→ AB || EF

→ <ABC = <CEF

→ <CEF = <DEF

Then the value of <DEF will be,

→ <DEF = 70°

Now according to Exterior angle property of a triangle the value of x will be,

→ x = <DEF + <EFD

→ x = 70 + 40

→ [ x = 110° ]

Hence, the value of x is 110°.

Answer:

x = 110°

Given:

AB||EF means the sides are parallel and the angle is same in both.

Find the missing angle inside the triangle:

= 180° - (40° + 70°)

= 180° - 110°

= 70°

Now the missing angle and x sum ups to 180° on a straight line:

Answer:

y=-23/6

Step-by-step explanation:

Answer:

y=-26

Step-by-step explanation:

multiply each side by 3

Y+1/2-2y-3=12

Multiply each side by 2

Y+1-2y-3=24

Add 3 to each side

Y+1-2y=27

Subtract each side by 1

Y-2y=26

-y=26

Multiply each side by -1

Y=-26

The margin of error for a 95% confidence interval assuming the previous study enrolled 600 individuals is C . E = ± 4.00

Based on the information, the following can be deduced:

n = 600

mean = 490.

standard deviation = 50.

At 95% confidence interval, z will be:

= 1 - 95%

= 0.05

Using the distribution table, the value will be Z(0.05/2) = Z value of 0.025 = 1.96

Therefore, the margin of error for a 95% confidence interval assuming the previous study enrolled 600 individuals will be:

= ± 1.96 × 50/✓n

= ± 4.00

In conclusion, the correct option is C.

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The digit in each indicated place value in the number 6,048,230,157 are as follows:

A place value can be defined as a numerical value which denotes a digit based on its position in a given number and it includes the following:

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Step-by-step explanation:

100 nsmzmsmsmsmsmsmsnsnnsnsbsnjsjjsjsjsj

Step-by-step explanation:

do you have a picture of your work?

and if you have 9.9 in your graph and you get a point it can be valid otherwise it would not help you at all

The correction option is B, It is out of control as one of these data points is more than 3 standard deviations from the mean.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.

Given that the candy produced by a company has a sugar level that is normally distributed with a mean of 16.1 grams and a standard deviation of 0.9 grams. Therefore, the maximum and the minimum weight of the candy can be,

Maximum weight = Mean + 3(Standard deviation)

                             = μ + 3σ

                             = 16.1 + 3(0.9)

                             = 16.1 + 2.7

                             = 18.8

Minimum weight = Mean - 3(Standard deviation)

                            = μ - 3σ

                            = 16.1 - 3(0.9)

                            = 16.1 - 2.7

                            = 13.4

Since one of the reading point, 19.4 is more than 3 standard deviations from the mean, therefore, it can be concluded that the process is out of control.

Hence, It is out of control as one of these data points is more than 3 standard deviations from the mean.

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The value of x in the logarithm equation log₄(9x²) = log₂(5x - 8) is x = 4

The equation is given as

log₄(9x²) = log₂(5x - 8)

Apply the change of base law of logarithm

So, we have

log(9x²)/log(4) = log₂(5x - 8)

Express 4 s 2^2 and 9 as 3^2

So, we have

log(3x)²/log(2²) = log₂(5x - 8)

Apply the power law of logarithm

So, we have

2log(3x)/2log(2) = log₂(5x - 8)

Evaluate the quotient

So, we have

log(3x)/log(2) = log₂(5x - 8)

Apply the change of base law of logarithm

So, we have

log₂(3x) = log₂(5x - 8)

Cancel out the common base

So, we have

3x = 5x - 8

Collect the like terms

So, we have

3x - 5x = - 8

Evaluate the like terms

So, we have

-2x = - 8

Divide both sides by -2

So, we have

x = 4

Hence, the value of x in the logarithm equation log₄(9x²) = log₂(5x - 8) is x = 4

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The average price per square foot in 2002 was approximately $85.86.

A mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a nonnegative integral power.

Example: a + bx + cx²

We have,

P(t) = 0.019t³ - 0.287t² + 3.073t + 55.130

Where t = number of years.

From 1992 to 2002 we have,

2002 - 1992 = 10 years

Now,

P(10) = 0.019(10)³ - 0.287(10)² + 3.073(10) + 55.130

P(10) = 19 - 28.7 + 30.73 + 55.130

P(10) = 85.86

Thus the average price per square foot in 2002 was approximately $85.86.

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Answer:

80

Step-by-step explanation:

80 is the only number that is a multiple of ALL 2, 8 and 10

Answer:

the only answer that is a multiple of 2,8 and 10 between 49 and 95, is 80.

Step-by-step explanation:

so, first $300 must be paid without any ifs and whens.

for the rest of the amount the insurance will cover 70%.

the bills total to

700 + 930 = $1630

he must pay $300 of that directly.

that leaves 1630 - 300 = $1330 for the 70/30 split between insurance and patient.

the patient must pay 30% of these $1330.

100% = 1330

1% = 100%/100 = 1330/100 = $13.30

30% = 1% × 30 = 13.30 × 30 = $399

so, the patient pays

300 + 399 = $699

of the $1630 bill.

Answer:

×=8

Step-by-step explanation:

24 divide by 3 is 8

8 x 3 is 24

Answer:

Step-by-step explanation:

(a) The scale of the drawing is in centimeters.

(b) The scale factor of the drawing is 5 mm.

(c) The size of the spider's mate drawing should be 4 cm.

Given scale drawing of a spider is 5 cm long.

The actual spider is 10 mm long

(a) The scale of the drawing is in centimeters because the scale drawing of a spider given is in 5 centimeters,

(b) Scale factor:

The scale factor shows by how much the original model has been multiplied or divided by to get the measurements of the drawing.

In this case, the spider is 10 mm long but the drawing length is 5 cm.

Let’s convert both into the same units

5 cm - 50 mm

Original - 10 mm

Painting -50 mm

X - scale factor

50 = X * 10

X = 50/10 = 5 mm

The spider has been multiplied/ enlarged by a scale factor of 5 mm to draw the painting.

(c) Given the spider's mate is 8mm long.

Now for the drawing, we need to choose the scale factor as above to get the perfect measurement.

So, the 8 mm spider has been enlarged by a scale factor of 5 mm to get the size for drawing.

= 8 * 5

= 40 mm

= 4 cm

The size of the drawing should be 4 cm.

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Answer: A quadrilateral is a four-sided figure.

EX: a square, a rectangle, a trapezoid, or a rhombus.

A closed plane figure or figure formed by four nonintersecting line segments which are not on the same line and connected end to end is called quadrilateral.

The statement that describes C’D’ is (d) C'D' and CD are equal in length.

The complete question is added as an attachment

The statement is given as:

A reflection of CD about the y-axis to form C’D’

When a line is reflection, the line segment of the image and pre-image are congruent

This is so because the reflection transformation is a rigid transformation

Hence. the statement that describes C’D’ is (d) C'D' and CD are equal in length.

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Complete question

The line segment is reflected about the y-axis to form C'D'. Which statement describes C'D'?

C'D' is perpendicular to CD.

C'D' is half the length of CD.

C'D' is greater than twice the length of CD.

C'D' and CD are equal in length.

Using it's formula, the variance of the data-set is of 15 units squared.

For this problem, the mean is given by:

Mean = (3 + 4 + 5 + 7 + 10 + 12 + 15)/7 = 8.

Hence the variance is given as follows:

Variance = 1/8 x [(3-8)² + (4-8)² + (5-8)² + (7-8)² + (10-8)² + (12-8)² + (15-8)²] = 15.

Hence the variance of the data-set is of 15 units squared.

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The amount of time he spent on the bicycle is; 2.5 hours

The formula that shows the relationship between distance, speed and time is;

distance = velocity * time  

Let W = walking time

B = bicycling time

Thus, from the given data we have;

86 = 4W + 32B      

W + B = 4    

W = 4 - B  substitute 6-B for W in 86 = 4W + 32B to get;

86 = 4(4 - B) + 32B

86 = 16 - 4B + 32B

86 = 16 + 28B

70 = 28B

B = 70/28

B = 2.5 hours on the bicycle

W = 4 - 2.5= 1.5 hours walking

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