Question 14 of 25
Based on the information marked in the diagram, ABC and DEF must be
congruent.
B
AQ
A. True
B. False
C
E
DO
LL
F
SUBMIT

Answer:

Step-by-step explanation:

The sum of the polynomials in the equation is 3x² - 2x - 3

Step-by-step explanation:

(3 - 4x + 8x²) + (-6 + 2x - 5x²)

Distribute the positive sign to (-6 + 2x - 5x²). So all of these terms will stay the same and maintain their original signs.

3 - 4x + 8x² - 6 + 2x - 5x²

Combine like terms.

- 3 - 2x + 3x²

Now put the equation in standard form. This means that the exponential numbers will be ordered in descending order.

3x² - 2x - 3

[tex] \bf \implies \: {3x}^{2} - 2x - 3 \\[/tex]

[tex] \bf \longrightarrow(3 - 4x + {8x}^{2}) + ( - 6 + 2x - {5x}^{2}) \\ \\ \bf \longrightarrow3 + - 4x + {8x}^{2} + - 6 + 2x + - {5x}^{2} \\ \\ \bf \longrightarrow( {8x}^{2} + - {5x}^{2} ) + ( - 4x + 2x) + (3 + - 6) \\ \\ \bf \longrightarrow {3x}^{2} + - 2x + - 3 \\ \\ \bf \longrightarrow \boxed{{3x}^{2} - 2x - 3} \: ans.[/tex]

Answer:

Wish i could help

Step-by-step explanation:

The condition that will create a biased estimator of a population parameter is D. The expected value of the estimator is not equal to the population parameter.

It should be noted that a parameter is a descriptive measure applied to a whole population. There are numerous population parameters exist. For instance, the population size (N) is one parameter.

For T(x) to be an unbiased estimator of population parameter, it is necessary that the expected value of the estimator is equal to population parameter.

Therefore, the condition that will create a biased estimator of a population parameter is that the expected value of the estimator is not equal to the population parameter.

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Step-by-step explanation:

f(x) , when x = 0 → f(x) = 6

So, f(0) = 6

f(x) , when x = 5 → f(x) = 7

So, f(5) = 7

f(x) , when x = 6 → f(x) = -3

So, f(6) = -3

f(x) , when x = 8 → f(x) = 10

So, f(8) = 10

The answer is A.

Answer:

11.63

Step-by-step explanation:

Since the equation is linear you can find the value by multiplying the difference of the minutes by 0.11, and subtract it from the cost of the initial plan.

34-25=9

9(0.11)= 0.99

12.62-0.99= 11.63

Answer:

[tex]7x + 5y \leqslant 30[/tex]

[tex]y = x {}^{2} - 8x + 12 \\ y = x {}^{2} - 8x + 12 + 4 - 4 \\ y = (x {}^{2} - 8x + 16) - 4 \\ y = ( x - 4)^{2} - 4[/tex]

The co-ordinates of the y-intercept is (0,-9) .

Y-intercept is the point on the graph where the graph passes over the y-axis.

To calculate the y-intercept we have to graphically represent the curve and pick out the points where the graph crosses over the x-axis.

For a graph with an equation in the form y = f(x) , y intercept can be calculated by substituting the value of x as 0 in the equation.

In the graphical representation we can see that the graph passes through  (- 8, 3) and (- 3, - 4.5).

Therefore the slope of the line passing through these points is given by:

[tex]m=\frac{-4.5-3}{-3-(-8)} \\\\m=\frac{-7.5}{5} \\\\m=-\frac{3}{2}[/tex]

Now the equation of the line is given by :

[tex]y-3 =- \frac{3}{2} (x-(-8))[/tex]

[tex]y-3 =- \frac{3}{2} x - 12[/tex]

[tex]y=- \frac{3}{2} x - 9[/tex]

Therefore at x = 0 , the value of y is -9.

So the y-intercept is given by the point (0,-9) .

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The coordinates of the y-intercept are ( 0 , 9 / 5 ) .

Finding equation of line :

( y - 3 ) / ( x + 8 ) = ( 3 + 4.5 ) / ( - 8 + 3 )

( y - 3 ) / ( x + 8 ) = ( 7.5 ) / ( - 5 )

- 5 y + 15 = 7.5 x + 6

- 5 y - 7.5 x + 9 = 0

Equation of line : 5 y + 7.5 x - 9 = 0

Writing equation in Slope - Intercept form

y = m x + c

y = [ ( - 7.5 x ) / ( 5 ) ] + [ 9 / 5 ]

Hence , y - intercept = 9 / 5 .

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Answer: 105 degrees

Step-by-step explanation:

two sides of a trapezoid add up to 180 degrees

180 - 75 = 105

Answer:x is greater than or equal to 0

Step-by-step explanation:

Answer:

1-2 is a reflection, 2-3 is a rotation.

2 and 3 are touching

Step-by-step explanation:

3/57×100

1/19×100

100/19

3.263157.

This is all that I can do to help you

After calculating the volume of these two rectangular prisms , we have come to conclude that the total volume of two rectangular prisms is 372 in³.

A rectangular prism is a three-dimensional shape with six faces, all of which are rectangles (top, bottom, and lateral faces) and all pairs of opposite faces are congruent.

A rectangular prism, like all three-dimensional shapes, has volume and surface area. A cuboid is simply another name for a rectangular prism.

A rectangular prism is basically a rectangle,

so the volume = l × b × h

Volume of 1st rectangular prisms = 9 × 6 × 3  

                                                       = 162 in³

Volume of 2nd rectangular prisms = 10 × 7 × 3  

                                                          = 210 in³

Total volume = 162 + 210

                      = 372 in³

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According to the solving the amount should be invested in each account should be :$500.

A borrower as well as deposit-taking financial organization paying interest to a lender or depositor on an amount in excess of the original payment at a specified rate. It is not the same as a fee paid by the borrower to the lender or a third party.

Debit your Interest Expense account and credit our Accrued Interest Payable account to record the accrued interest for an accounting period. This increases the value of your expenditure as well as payable accounts.

Let the amount invested at 5 be x.

Let the amount invested at 6% be 2000 - x.

Interest on 5% will be 0.05

Interest on 6% will be 6%(2000 - x) = 120 - 0.06x

This will be:

0.05x + 120 - 0.06x = 105

- 0.01x = -15

x = 1500

The amount invested at 6% will be:

= 2000 - 1500

= 500

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Answer:

x = -36

Step-by-step explanation:

Subtract 9 from 3.2(x−6)=14⋅−6

Multiply 14 by −6.2(x−6)=−84

Divide each term

Simplify the left side.

Move all terms not containing x to the right side of the equation.

x = -42 + 6

Add -42 & 6

x = -36

Answer: D

(1,5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

21 divided by 7 is 3 so 3 minus 10 is negative 7

The solution is : 7 when subtract the quotient of 21 and 7 from 10.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

given that,

the quotient of 21 and 7

i.e. we have to divide 21 by 7

i.e. 21/7 = 3

so, we get,

the quotient of 21 and 7 is 3

now, we have to Subtract 3 from 10

i.e. 10 - 3

= 7

so, we get,

21 divided by 7 is 3 so 10 minus 3 is  7.

Hence, The solution is : 7 when subtract the quotient of 21 and 7 from 10.

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The amount of bacteria after 12 hours would be 8 grams

Rate can be defined as  the ratio between two quantities that are related in size but may be in different units.

It is also known as the ratio of comparison between quantities of different units.

From the information given, we have that;

To determine the amount of bacteria after 12 hours, we have;

= 12 × 15/ 100

multiply and find quotient

= 1. 8

In 12 hours, the amount of bacteria is ;

= 6 + 1. 8

= 7. 8 grams

= 8 grams

Thus, the amount of bacteria after 12 hours would be 8 grams

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Answer:

3 heartbeats per sec.

Step-by-step explanation:

Number of heartbeats / Total time will give the rate or number of heartbeats per sec.

Answer:

1.12

Step-by-step explanation:

Since the whole price is 13.44$ and the whole number of whole pairs is 12 you can get the answer by dividing them so it will be 13.44÷12 so it will be 1.12

Answer:

Step-by-step explanation:

-6+2y=10

2y=10+6

2y=16

2y/2=16/2

y=8

so the final answer of first question is y=8

The next one is

6x-2y=-10

as we got from the first question y=8 so

6x-2(8)=-10

6x-16=-10

6x=-10+16

6x/6=6/6

so the final answer is 1

Answer:

Find the values of the trigonometric functions of from the information given.

cot() = − 5/9 , cos() > 0Find the values of the trigonometric functions of from the information given.

cot() = − 5/9 , cos() > 0

Step-by-step explanation:

Find the values of the trigonometric functions of from the information given.

cot() = − 5/9 , cos() > 0

The equations which have no solution are choices A, B, C and D.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.

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The error led to the incorrect difference is-

meghan and hopsida do their math homework together

To find,

           5 - (-8)

meghan's answer was incorrect.

meghan put the neagative sign before 13 that's why there was difference in the answer.

Definition for difference in Math

distinction in math is the result of one of the essential mathematical operations, that is obtained by using subtracting  numbers. It tells us by means of how lots a range of differs from the other.

How do you find difference in math?

a way to locate the difference among two Numbers. To discover the difference among  numbers, subtract the number with the smallest value from the wide variety with the biggest cost. The fabricated from this sum is the distinction between the 2 numbers. consequently the distinction between forty five and one hundred is fifty five.

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The number of minutes of each medium should be used to minimize costs if television costs $900/minute and radio costs $200/minute is 45 minutes and 3.33 minutes respectively.

x ≥ 0

y ≥ 0

x + y ≤ 80

0.09x + 0.006y ≤ 2.16

From (1)

x ≤ 80 - y

0.09x + 0.006y ≤ 2.16

0.09(80 - y) + 0.006y ≤ 2.16

7.2 - 0.09y + 0.006y ≤ 2.16

7.2 - 0.084y ≤ 2.16

-0.084y ≤ 2.16 - 7.2

-0.084y ≤ -5.04

y ≤ -5.04 / -0.084

y ≤ 60

x + y ≤ 80

x + 60 ≤ 80

x ≤ 80 - 60

x ≤ 20

The number of minutes of each medium should be used to minimize costs if television costs $900/minute and radio costs $200/minute is

Television = $900 / 20

= 45 minutes

Radio = $200/60

= 3.33 minutes

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Answer:

I don't know if it is correct

Step-by-step explanation:

v=πrh

v=22/7×11×5

v=22/7×55

v=172.857

v=17.