What’s the scale factor?

Answer:

Step-by-step explanation:

base times height

your base is 14 and height is 3

so your answer is 42

The volume of the solid S is 4 cubic units. The area of the square cross-section at height y is (2√(1 - y))² = 4(1 - y).

To find the volume of the solid S, we need to integrate the areas of the square cross-sections perpendicular to the y-axis over the interval that represents the base of S.

The given information tells us that the base of S is the region enclosed by the parabola y = 1 - x² and the x-axis. To determine the limits of integration, we need to find the x-values where the parabola intersects the x-axis.

Setting y = 0 in the equation y = 1 - x², we get:

0 = 1 - x²

x² = 1

x = ±1

So, the base of S extends from x = -1 to x = 1.

Now, let's consider a generic cross-section at a height y perpendicular to the y-axis. Since the cross-section is a square, its area is equal to the square of its side length.

The side length of the square cross-section at height y is given by the difference between the y-value of the parabola and the x-axis at that height. From the equation y = 1 - x², we can solve for x:

x² = 1 - y

x = ±√(1 - y)

Therefore, the area of the square cross-section at height y is (2√(1 - y))² = 4(1 - y).

To find the volume of the solid S, we integrate the areas of these square cross-sections over the interval of the base:

V = ∫[from -1 to 1] 4(1 - y) dy

Evaluating this integral, we get:

V = 4∫[from -1 to 1] (1 - y) dy

V = 4[y - (y²/2)] | from -1 to 1

V = 4[(1 - (1²/2)) - (-1 - ((-1)²/2))]

V = 4[(1 - 1/2) - (-1 - 1/2)]

V = 4[1/2 + 1/2]

V = 4

Therefore, the volume of the solid S is 4 cubic units.

Learn more about volume here

https://brainly.com/question/27710307

#SPJ11

Since the resulting vector is a scalar multiple of both normal vectors, the planes are parallel.

A. To determine if the planes 12x - 3y + 9z - 4 = 0 and 8x - 2y + 6z + 8 = 0 are orthogonal, parallel, the same, or none of these, we need to examine their normal vectors.

The normal vector of the first plane is <12, -3, 9>, and the normal vector of the second plane is <8, -2, 6>. To determine if the planes are orthogonal, we take the dot product of the normal vectors and see if it equals zero:

<12, -3, 9> · <8, -2, 6> = (12)(8) + (-3)(-2) + (9)(6) = 96 + 6 + 54 = 156

Since the dot product is not equal to zero, the planes are not orthogonal.

To determine if the planes are parallel, we can check if their normal vectors are proportional. We can do this by dividing one normal vector by the other:

<12, -3, 9> / <8, -2, 6> = (12/8, -3/-2, 9/6) = (3/2, 3/2, 3/2)

Therefore, the planes are none of these.

B. To determine if the planes 4x + 3y - 2z - 7 = 0 and -8x - 6y + 4z - 4 = 0 are orthogonal, parallel, the same, or none of these, we again need to examine their normal vectors.

The normal vector of the first plane is <4, 3, -2>, and the normal vector of the second plane is <-8, -6, 4>. To determine if the planes are orthogonal, we take the dot product of the normal vectors and see if it equals zero:

<4, 3, -2> · <-8, -6, 4> = (4)(-8) + (3)(-6) + (-2)(4) = -32 - 18 - 8 = -58

Since the dot product is not equal to zero, the planes are not orthogonal.

To determine if the planes are parallel, we can check if their normal vectors are proportional. We can do this by dividing one normal vector by the other:

<4, 3, -2> / <-8, -6, 4> = (-1/2, -1/2, -1/2)

Therefore, the planes are parallel.

To know more about plane,

https://brainly.com/question/14568576

#SPJ11

Answer:

you just do 1x2x3x4

and then that equals 24

so now you have 24 and then you add 4 zeros because their are 4 zeros in the equation so then the final answer is

240000

Step-by-step explanation:

Neglect a is constructive response to job satisfaction is the false statement.

Neglect is not a constructive response to job satisfaction. It refers to a situation where employees feel ignored, unappreciated, or unsupported in their work, which can negatively impact their job satisfaction. Constructive responses to job satisfaction involve addressing concerns, providing support, and promoting a positive work environment.

Job satisfaction refers to an individual's level of contentment and fulfillment with their job. It is influenced by various factors such as work environment, compensation, relationships with colleagues, opportunities for growth, and alignment with personal values.

When employees experience job dissatisfaction, they may respond in different ways. One possible response is neglect, which refers to a passive and disengaged attitude towards work. Neglectful employees may become indifferent, withdraw their effort, or mentally check out from their responsibilities.

Learn more about statisfaction at https://brainly.com/question/31484119

#SPJ11

Answer: =233

Step-by-step explanation: 4((12)(6)−4^2)+9

Hope this help

The probability of getting green as a next balloon is 4/15.

Prοbability is a way οf calculating hοw likely sοmething is tο happen. It is difficult tο prοvide a cοmplete predictiοn fοr many events. Using it, we can οnly fοrecast the prοbability, οr likelihοοd, οf an event οccurring. The prοbability might be between 0 and 1, where 0 denοtes an impοssibility and 1 denοtes a certainty.

Here the given is green 20 blue 17 pink 12 purple 19 orange 7.

Then total outcome = 20+17+12+19+7 = 75

Here we using probability formula ,

=> probability = No of favorable outcome / Total  no of outcome

Probability of getting next balloon will be green is,

=> P( green) = 20/75 = 4/15

Hence the probability of getting green as a next balloon is 4/15.

To learn more about probability refer the below link

https://brainly.com/question/13604758

#SPJ1

Answer:

to find love and to be your best

Step-by-step explanation:

have a good day

Answer:

The meaning of life is determined by the person who views it, you see this as someone trying to help you i see this as free points. you are the one who determines the meaning of YOUR life

Step-by-step explanation:

Answer:

Sweater = $25

Pants= $42

Step-by-step explanation:

Write an equation for both statements and identify the what each value means

so;

x is for sweater and y is for pair of jeans

Equation for 1st statement;

\(2x + 3y = 176 \\ \)

Equation for 2nd statement

\(5x + 2y = 209\)

Graph these two equations and find the intersection point of it.

Hope this helps.

Answer:

0.008.

Step-by-step explanation:

10^-3 basically tells you to move the decimal point to the left by three digits.

Right now, you have 8. If the decimal point were to move left by three digits, you can visualize 8 as 0008. Move left by three digits, and you get 0.008.

Hope this kind of helps!

Answer:

0.008.

hope this helps :)

Step 1: Count the total number of students

The total number of students in the statistics class is 8.

Step 2: Count the number of women

There are 4 women in the statistics class.

Step 3: Calculate the frequency, proportion, and percentage of women

Frequency: The frequency of women in the statistics class is 4.

Proportion: The proportion of women in the statistics class is 4/8, or 0.5.

Percentage: The percentage of women in the statistics class is 50%.

The information in the question is not significant to calculate the frequency, proportion and percentage of women.

Statistical models for calculating gender through frequency involve counting the number of individuals in a population that identify as each gender. This can be done by collecting data on gender from surveys, census data, or other sources of information. The data collected is then used to calculate the frequency, proportion, and percentage of each gender in the population. This information can be used to better understand gender dynamics in a population and inform policies and practices that promote gender equity.

For more questions like Statistics class visit the link below:

https://brainly.com/question/14737315

#SPJ4

Answer:

The product of the two matrices is a 1x1 matrix with the value 24. So the correct answer is D) [24].

Here’s how to calculate it:

Matrix A = [-3, 3, 0] and Matrix B = [-3, 5, -2]T (where T denotes the transpose of the matrix).

The product of the two matrices is calculated by multiplying each element in the first row of Matrix A by the corresponding element in the first column of Matrix B and then summing up the products:

(-3) * (-3) + 3 * 5 + 0 * (-2) = 9 + 15 + 0 = 24

The farmer sold 1.78 kg of pears at the farmer's market.

In this question, the total weight of apples and pears sold by the farmer is given as 8.9 kilograms and it is known that 4/5 of this weight is apples. The task is to determine the weight of pears sold by the farmer at the market. Therefore, the weight of apples can be found using the fraction of the total weight that they represent which is 4/5 of 8.9 kg.4/5 × 8.9 kg = 7.12 kgSubtracting the weight of apples from the total weight of apples and pears gives the weight of pears sold at the market:8.9 kg - 7.12 kg = 1.78 kgTherefore, the farmer sold 1.78 kg of pears at the farmer's market. This is a common type of problem in mathematics where fractions or ratios are used to determine the value of one part of a whole given information about another part or the whole.

Learn more about Farmer here,What might cause people in a region to work as farmers? *

Your answer

https://brainly.com/question/28770811

#SPJ11

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Re-draw the given circe to show the radius

STEP 2: Explain the radius

A radius is a line drawn from the centre of a given circle to any part on the circumference. This line divides a circle into equal quarters as seen on the image. The radius divides the circle equally both vertically and horizontally.

STEP 3: Show the centre

Since the line of the radius goes from the centre, therefore the part identified below will be the centre

STEP 4: Get the coordinate of the centre

The coordinate of the centre will be the point on the x-axis as agianst the point on the y-axis.

Hence, the center of the given circle is:

Smith is making copies of a 5-inch graph and wants to enlarge it by 135% with each copy. To determine the size of each subsequent copy, we can use a recursive formula. The recursive formula for this situation is: C(n) = C(n-1) + 0.35C(n-1), where C(n) represents the size of the nth copy and C(n-1) represents the size of the previous copy.

1.To calculate the size of each copy, we start with the original size, which is 5 inches. Let's assume the original copy is the 0th copy, so C(0) = 5 inches.

2.To find the size of the first copy, which is the 1st copy (n = 1), we use the recursive formula:

C(1) = C(0) + 0.35C(0) = 5 + 0.35(5) = 5 + 1.75 = 6.75 inches.

3.For the second copy, which is the 2nd copy (n = 2), we use the recursive formula again:

C(2) = C(1) + 0.35C(1) = 6.75 + 0.35(6.75) = 6.75 + 2.36 = 9.11 inches.

4.We can continue this process for subsequent copies, plugging in the value of the previous copy into the recursive formula to find the size of the next copy.

Learn more about here: brainly.com/question/1470853

#SPJ11

Answer:

v = 120

Step-by-step explanation:

The right angle is egual to 180-39-v, so it is: v-141

U now that the sum of the internal angles of a triangle is 180°.

180 = (v-48)+(v)+(v-141)

180 = 3v - 180

3v = 360

v = 360/3

v = 120

Answer:

89 = v

Step-by-step explanation:

not completely sure how i got it

good luck

Answer:

The slope is -2.

Step-by-step explanation:

m=y2-y1/x2-x1            (also, y1-y2/x1-x2 is also true.)

=23-15/6-10                  m=15-23/10-6

= 8/-4                            =-8/4

=4/-2                             =-4/2

= 2/-1                             =-2/1

m=-2                             m=-2

17/10 miles

1/5*1+1/2*3=3/2+14/10=17/10

Answer:

1/5+3/2=2/10+15/10=17/10

Answer:ur mom

Step-by-step explanation:

Math SAT scores explain about 98.7% of the variation in the total SAT scores.

In statistics, correlation or dependence exists as any statistical relationship, whether causal or not, between two random variables or bivariate data.

A correlation exists as a statistical measure (expressed as a number) that defines the size and direction of a relationship between two or more variables. A correlation between variables, however, does not automatically mean that the change in one variable exists as the cause of the change in the values of the other variable.

Since r² exists = (0.9935)² = 0.9870, we interpret r² as 98.7% of the variation in the y variable exists explained by the x variable.

In context, math SAT score explains about 98.7% of the variation in total SAT score.

To learn more about correlation refer to:

https://brainly.com/question/4219149

#SPJ4

Answer:

(A).

Step-by-step explanation:

yo my boy look at the problem first because that was so easy

7y+6x-14=0

Step-by-step explanation: if we know two coordinates of a line.

Answer:

6x+7y=14

Step-by-step explanation:

graphed using desmos, answer for edge 2021

f'(x) = 6x^2 - 6x, f''(x) = 12x - 6, the critical points are x = 0 (local maxima) and x = 1 (local minima), and the inflection point is x = 1/2.

(a) First, deriving the first and second derivatives of f(x) = 2x³ - 3x² + 1.

f'(x) = 6x² - 6x (first derivative)
f''(x) = 12x - 6 (second derivative)

(b) To find the critical points, we set f'(x) to 0 and solve for x:

6x² - 6x = 0
6x(x - 1) = 0

Critical points are x = 0 and x = 1.

(c) Findng he inflection points, we set f''(x) to 0 and solve for x:

12x - 6 = 0
12x = 6
x = 1/2

The inflection point is x = 1/2.

(d) Determining if the critical points are local maxima or local minima, we analyze the sign of the second derivative f''(x) at those points:

- f''(0) = -6 (negative), so x = 0 is a local maxima.
- f''(1) = 6 (positive), so x = 1 is a local minima.

To learn more about maxima: https://brainly.com/question/29502088

#SPJ11

The value of the investment after (a) 1 year is $1487.96, (b) 2 years is $1586.61, and (c) 10 years is $2654.35.

(a) After 1 year, the value of the investment can be calculated using the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal (initial investment), r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

Substituting the given values, we have A = $1400(1 + 0.0675/4)^(4*1) = $1487.96.

(b) After 2 years, using the same formula, A = $1400(1 + 0.0675/4)^(4*2) = $1586.61.

(c) After 10 years, A = $1400(1 + 0.0675/4)^(4*10) = $2654.35.

To learn more about interest  click here

brainly.com/question/31907854

#SPJ11

The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.

To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.

A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.

In this case, a = 25, so b = (1/2)(70) = 35.

Expanding (ax + b)^2, we have:

(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2

= 25x^2 + 70x + 1225.

Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.

Know more about quadratic expression here:

https://brainly.com/question/31368124

#SPJ11

The equation that does NOT pass through quadrants III or IV is found to be y = -2x² + 3. So, option B is the correct answer choice.

The equations that pass through quadrants III or IV are those whose x and y values are negative or whose x value is negative and y value is positive.

A. y = x - 2 passes through quadrants III and IV because it can take on negative x and y values in those quadrants.

B. y = -2x² + 3 does not pass through quadrant III because all values of x in quadrant III are negative and when you square a negative number, the result is positive. Thus, the y-value would be positive, which is not possible for this equation.

C. y = x passes through all quadrants because it can take on positive and negative x and y values in all quadrants.

D. y = x² passes through quadrants I and II because it takes on positive x and y values in those quadrants. It does not pass through quadrants III or IV because all x values in those quadrants are negative and when you square a negative number, the result is positive, so the y-value would also be positive.

Therefore, the equation that does NOT pass through quadrants III or IV is B. y = -2x² + 3.

Learn more about quadrants :

https://brainly.com/question/27998040

#SPJ4

In the trash can, there are 648 bricks. when the measurements are 8 by 4 by 2 The right response is so (C).

This same total mass of a three-dimensional shape is referred to as its porous structure. A cuboid with six rectangular faces has a surface area equal to the sum of the areas of each face. The cuboid's length, width, and height can also be labeled, and indeed the surface area (SA) can indeed be calculated using the equation SA=2lw+2lh+2hw.

Based on this equation, surface area is equivalent to two times overall combination of width and length, two times its products of length and height, and two times the ratio of both height and width.

To know more about equation click here

brainly.com/question/15525426

#SPJ4

Answer:

The amount the student needs to save is approximately $269.167

Step-by-step explanation:

The amount the student already has saved for his laptop = $307.50

The amount the student puts aside each month to pay for the laptop = $100

The total amount saved after 5 months = 75% of the total cost of the laptop

Therefore, we have;

The total amount the student has after 5 months = $307.5 + 5 × $100 = $807.5

The total amount saved after 5 months = 75% of the total cost of the laptop

Therefore;

$807.5 = 75% of the total cost of the laptop

The total cost of the laptop = $807.5/75% = $807.5/75 × 100 = \(\$ \ 1076\frac{2}{3}\)

The total cost of the laptop ≈ $1076.67

Therefore;

The amount the student needs to save = $1076.67 - $807.5 = \(\$ \ 269\frac{1}{6}\)

The amount the student needs to save ≈ $269.167.