Can you help me with this question? 15 points and brainliest if right!

The true statement is "the line that can be drawn through points D and E is contained in plane Y".

option B is the correct answer

The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;

We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.

The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.

So, option (A) is NOT correct.

The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.

So, option (B) is CORRECT.

Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is NOT correct.

Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.

So, option (D) is NOT correct.  

Thus, the correct option is;

The line that can be drawn through points D and E is contained in plane Y.

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The complete question is below:

Points x and y and points C,D,E and f are shown what is true about points

(A) The line that can be drawn through points C and D is contained in plane Y.

(B) The line that can be drawn through points D and E is contained in plane Y.

(C) The only point that can lie in plane X is point F.

(D) The only points that can lie in plane Y are points D and E

Answer:

x=9

Step-by-step explanation:

is the mean of 4, x, 5, 6, and 1 is 5, then 4+x+5+6+1=5*5=25, so 16+x=25,x=9

Answer:

They are equivalent

Step-by-step explanation:

Since 3.75 divided by 5 is .75 that means that 6 divided by 8 would have to also be .75 which, if you divide it, it is.

Answer:

The rates are equivalent

Step-by-step explanation:

To find the unit cost you divide the price by the number of units

3.75÷5=0.75

6.00÷8=0.75

To determine whether or not the rates are equivalent, compare the unit costs

0.75=0.75

Therefore, the rates are equivalent

Hope this was helpful :)

Answer:

OOk

Step-by-step explanation:

Answer:

a\( \alpha \)

1/b

a=k/b

k=a×b

where a=9

b=2

k=?

k=9×2

k=18

where a=?

b=6

k=18

a=k/b

a=18/6

a=3

The solution of the graph to the inequality Ix+3122 x = -11 or x = 5

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.

We are given that;

Inequality= Ix+3122

Now,

First, rewrite it as |x+3|/22 ≤ 4/11

Then, find the equation of the boundary line by replacing ≤ with =: |x+3|/22 = 4/11

This means x+3 = ±(4/11)*22

So x = -3 ± 8

x = -11 or x = 5

Therefore, by inequalities the answer will be x = -11 or x = 5

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Answer: A

Step-by-step explanation: I got this right on Edmentum.

Answer:

Step-by-step explanation:

From the given information,

Suppose

X represents the Desktop computer

Y represents the DVD Player

Z represents the Two Cars

Given that:

n(X)=275

n(Y)=455

n(Z)=405

n(XUY)=145

n(YUZ)=195

n(XUZ)=110

n((XUYUZ))=265

n(X ∩ Y ∩ Z) = 1000-265

n(X ∩ Y ∩ Z) = 735

n(X ∪ Y) = n(X)+n(Y)−n(X ∩ Y)

145 = 275+455 - n(X ∩ Y)

n(X ∩ Y) = 585

n(Y ∪ Z) = n(Y) + n(Z) − n(Y ∩ Z)

195 = 455+405-n(Y ∩ Z)

n(Y ∩ Z) = 665

n(X ∪ Z) = n(X) + n(Z) − n(X ∩ Z)

110 = 275+405-n(X ∩ Z)

n(X ∩ Z) = 570

a. n(X ∪ Y ∪ Z) = n(X) + n(Y) + n(Z) − n(X ∩ Y) − n(Y ∩ Z) − n(X ∩ Z) + n(X ∩ Y ∩ Z)

n(X ∪ Y ∪ Z) = 275+455+405-585-665-570+735

n(X ∪ Y ∪ Z) = 50

c. n(X ∪ Y ∪ C') = n(X ∪ Y)-n(X ∪ Y ∪ Z)

n(X ∪ Y ∪ C') = 145-50

n(X ∪ Y ∪ C') = 95

Answer:

-16d - 16= -20

-16d= -20+16

-16d=-4

d=1/4

-16(d + 1) = -20

Use the distributive property first:

-16d -16 = -20

Add 16 to both sides:

-16d = -4

Divide both sides by -16:

D = -4/-16

D = 1/4

Answe: d = 1/4

The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

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Answer:

x = -16

Step-by-step explanation:

Answer

-y+2, or 2-y

Step-by-step explanation:

Answer:

-y + 12

Step-by-step explanation:

Step 1: Write expression

(y + 7) - (2y - 5)

Step 2: Distribute negative

y + 7 - 2y + 5

Step 3: Combine like terms

-y + 12

Answer:

12

Step-by-step explanation:

To have an even integer the number's endian has to be an even number. Consider the 2-digit positive number like _ _ and place the number of possible options out of four total options in each blank space. We have 3 even options, so we can fill the endian blank like this _ 3

Since the first digit can be any number, therefor, we have 4 options for the first blank space 4 3. Just multiply the two numbers and you have the answer.

22, 24, 28, 42, 44, 48, 52, 54, 58, 82, 84, 88

Answer:

.5 for the first blank

2 for the second blank

Answer:

15

Step-by-step explanation:

1-0 =1

3-1 =2

6-3=3

10-6=4

We are adding 1 more each time

10+5 = 15

Answer:

x=20

Step-by-step explanation:

x-15=5

x=5+15

x=20

Answer:

-136

Step-by-step explanation:

Let the unknown number be written as x

2 more than the number is written as

x + 2

7/8 of the same number is written as 7/8x

15 less than that is written as

7/8x - 15

therefore

x + 2 = 7/8x - 15

collecting like terms

x - 7/8x = -15-2

1/8x = -17

x = -17*8/1

x = -136

Answer:

the amount that has already left the container, i believe

Step-by-step explanation:

Answer:

A = 68 in^2

Step-by-step explanation:

A of Rectangle = 6 * 10 = 60 in^2

A of Triangle = (4 * 4)/2 = 8 in^2

The effective tax rate for a taxable income of $75,400 is 24%.

The amount of additional tax paid for each new dollar of income received is known as the marginal tax rate. Total taxes paid divided by total income earned is the average tax rate.

WE have Given that;

Marginal Tax Rate           Chart Tax Bracket

$0 –$10,275                                  10%

$10,276 –$41,175                           12%

$41,176 –$89,075                          22%

$89,076 –$170,050                      24%

$170,051 –$215,950                      32%

$215,951 –$539,900                     35%

> $539,901                                     37%

Hence, the effective tax rate for income of $95, 600 lies in the range of a marginal tax rate of; 24%.

thus, the effective tax rate;

= 72,026/ 95600

= 24 %

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Answer:

4,416.90

Step-by-step explanation:

12% tax bracket: $38,520 - 10,725 = 27795(0.12) = 3335.4

1027.50+3335.4 = 4416.90

Answer:

P(A and B) = 0.12

Step-by-step explanation:

Conditional Probability

Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event A has occurred, then the probability that event B occurs is given by:

\({\displaystyle P(B\mid A)={\frac {P(B\cap A)}{P(A)}}}\)

Where \(P(B\cap A)\) is the probability that both events occur and P(A) is the probability that A occurs.

We are given P(A)=0.6, P(B\mid A)=0.2, and it's required to find P(B\cap A). Solving for the required variable:

\(P(B\cap A)=P(B\mid A)*P(A)\)

\(P(B\cap A)=0.2*0.6=0.12\)

P(A and B) = 0.12

Step-by-step explanation:

please mark me as brainlest

Answer:

875 inches

Step-by-step explanation:

almost 73 feet!

Answer:

98

Step-by-step explanation:

=====================================================

There are two ways to find the answer

-----------------------

Method 1

Multiply the length and width by the scale factor

10*3.5 = 35

4*3.5 = 14

The new larger rectangle is 35 inches by 14 inches

Add up the four sides: 35+14+35+14 = 98

The perimeter of the larger rectangle is 98 inches

-----------------------

Method 2

We can use the formula P = 2(L+W) to get the perimeter of the original rectangle

P = 2(10+4)

P = 2*14

P = 28

The original rectangle has perimeter 28 inches.

Or you could note how 10+4+10+4 = 28

Multiply this with the scale factor to get 28*3.5 = 98 inches

The value of f(x) + g(x) is [(x³ + 16x² + 6x - 99]/(x² - 9)(x² + 3x).

All of the excluded values are 3, -3, and 0.

The discontinuity at x = ±3 is an infinite discontinuity.

The discontinuity at x = 0 is a removable discontinuity.

In this exercise, we would add the two functions f(x) and g(x) as follows;

f(x) + g(x) = (x + 2)/(x² - 9) + (11)/(x² + 3x)

f(x) + g(x) = (x + 2)(x² + 3x) + 11(x² - 9)]/(x² - 9)(x² + 3x)

f(x) + g(x) = [(x³ + 16x² + 6x - 99]/(x² - 9)(x² + 3x)

In order to determine the excluded values, we would set the denominators of the two functions to zero (0):

x² - 9 = 0

x = ±√9

x = ±3

x² + 3x = 0

x(x+3) = 0

x = 0 or x = -3

In Mathematics, there are three (3) main types of discontinuity in a function and these include the following:

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We have shown that C is the image of A by dilation with center B and ratio 3.

Now, To show that C is the image of A by dilation with center B and ratio 3, we need to follow these steps:

Firstly, Find the vector AB by subtracting the coordinates of B from the coordinates of A:

AB = A - B = (6 - 3, 4 - 7) = (3, -3)

Multiply the vector AB by the dilation ratio of 3:

3 AB = 3 (3, -3)  = (9, -9)

Add the resulting vector to the coordinates of the center B:

BC = B + 3 AB = (3, 7) + (9, -9)

BC = (12, -2)

Hence, Compare the resulting point BC to the coordinates of C to show that they are the same:

BC = (12, -2) = C

Therefore, we have shown that C is the image of A by dilation with center B and ratio 3.

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

Step-by-step explanation:

he recives 8.52

Answer: $8.52

Step-by-step explanation:

First, you have to calculate how much Tommy spent, which is shown below:

2 x 3.99 = 7.98

7.98 + 3.5 = 11.48

Now that we know Tommy spent 11.48, we just subtract that from 20

$20.00 - $11.48 = $8.52

Answer:

The number can be expressed in multiple forms

Fraction form \(x=\frac{2962}{67}\)  or decimal form  \(x=44.21\)

Step-by-step explanation:

Lets break the problem down

"times" is multiplication *

The difference between 2 numbers is subtraction  \((x-y)\)

A number plus a number is addition \(x+y\)

\(68(x-45)=x+-98\)

Lets solve for \(x\).

Lets start on the left side.

Distribute 68 to the terms inside the parenthesis.

\(68x-3060=x+-98\)

A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign.

\(68x-3060=x-98\)

Subtract \(x\) from both sides of the equation.

\(68x-3060-x=-98\)

Subtract \(x\) from \(68x\).

\(67x-3060=-98\)

Add 3060 to both sides of the equation.

\(67x=2962\)

Divide both sides of the equation by 67.

\(x=\frac{2962}{67}\) or as a decimal \(x=44.21\)