What is the answer to this?

Answer:

$342

Step-by-step explanation:

Complete question

Find the simple interest on $1900 at 9% for 2 years.

Simple interest PRT/100

Given

Principal P = 1900

Rate R = 9%

Time T = 2years

Substitute

Simple interest = 1900*9*2/100

Simple interest  = 19*18

Simple interest  = $342

Hence the simple interest on $1900 at 9% for 2 years is $342

9514 1404 393

Answer:

  1, 2: Vertical

  5, 6: Adjacent

Step-by-step explanation:

Vertical angles are formed from opposite rays and share a vertex. Angles 1 and 2 are vertical angles.

__

Adjacent angles share a vertex and have one ray shared between them. Angles 5 and 6 are adjacent angles.

_____

Additional comment

In a polygon, interior angles that share a side of the polygon are also called adjacent angles..

Answer:

7

Step-by-step explanation:

The largest value in the list is 11.

A list is a structure consisting of an ordered set of numbers.

"The range is the difference between the smallest and highest numbers in a list."

For given example,

The range for the given list is 7 and the smallest value is 4.

Let R be the range of the list.

⇒ R = 7

Let S be the smallest value in the list.

⇒ S = 4

Let the largest value in the list be L.

⇒ R = L - S

⇒ 7 = L - 4

⇒ L = 7 + 4

⇒ L = 11

Therefore, the largest value in the list is 11.

Learn more about the range of the list here:

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9514 1404 393

Answer:

  1e. 2t² +8t -6

  2h. a² +2ab -3b²

  3b. 8r +4

  4b. 6x +4y -11

  5b. e -3

Step-by-step explanation:

1e. Combine like terms.

  (3t² +3t -6) +(-t² +5t) = t²(3 -1) +t(3 +5) -6

  = 2t² +8t -6

__

2h. (2a² +3ab -4b²) -(a² +ab -b²)

Use the distributive property to eliminate parentheses. Note that all signs change in the second set of parentheses.

  = 2a² +3ab -4b² -a² -ab +b² = a²(2 -1) +ab(3 -1) +b²(-4+1)

  = a² +2ab -3b²

__

3b. The hash marks indicate sides of the same length. The perimeter is the sum of all side lengths.

  P = (4r -2) +2(2r +3)

  P = 4r -2 +4r +6 . . . . . . eliminate parentheses

  P = 8r +4 . . . . . . . . . . . . combine like terms

__

4b. (3x +4y) +(5x -8) -(2x +3)

Note that the distributive property changes the sign of all terms in the last parentheses.

  = 3x +4y +5x -8 -2x -3 . . . . eliminate parentheses

  = x(3+5-2) +y(4) +(-8-3) . . . group like terms

  = 6x +4y -11

__

5b.

  Bill's age - Erin's age = (2e-3) -(e) = e -3

The difference in their ages is (e -3).

Answer:

Step-by-step explanation:

f(x)=7(x^2+3x-10)=7(x+2)(x-5)

Answer:

Option (2) and Option (6)

Step-by-step explanation:

Expression representing the error can be given by,

Expected value = Original value ± percentage error

If original value of the ice cream filled in the container = 64 ounce

Percentage error to fill the ice cream in each container = 1.5%

So net error = ± 1.5% of 64

                    = [tex]64(\frac{1.5}{100})[/tex] ounce

                     = 64(0.015) ounce

Therefore, expression that can show the maximum maximum amount of ice cream in the container will be

= 64 + 64(0.015) Option (6)

= 64(1 + 0.015)

= 64(1.015) Option (2)

Therefore, Option (2) and Option (6) are the correct options.

Answer:

its the first one

Step-by-step explanation:

Answer:

m = 1/3, b = 2

Step-by-step explanation:

The equation is already written is slope-intercept form, y = m x + b.

Answer:

No it is not a function for sure.

Answer:

It will take 28 minutes to complete a 7-kilometer race

Step-by-step explanation:

If you can job 3 kilometers in 12 minutes, that means you can jog 1 kilometer in 4 minutes. so if you multiply 7 times 4, you would get 28. So your answer is 28 minutes.

Answer:

0.71 = 71% probability that she or he used the lab on a regular basis.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Student got an A

Event B: Used the lab on a regular basis.

Probability of an student getting an A:

55% of 40%(go to the lab on a regular basis).

15% of 100 - 40 = 60%(do not go to the lab on a regular basis).

So

[tex]P(A) = 0.55*0.4 + 0.15*0.6 = 0.31[/tex]

Probability of getting an A and using the lab on a regular basis:

55% of 40%, so:

[tex]P(A \cap B) = 0.55*0.4 = 0.22[/tex]

Probability that she or he used the lab on a regular basis.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.22}{0.31} = 0.71[/tex]

0.71 = 71% probability that she or he used the lab on a regular basis.

Answer:

Step-by-step explanation:

Amanda will record 32 names for the five previous generations.

Given is that Amanda is researching her ancestry. She records names and birth dates for her parents, their parents and so on, in an online research tool.

We can write the series as -

               Amanda

     {M}                        {F}

{M}       {F}             {M}       {F}

.

.

so on

We can write the sequence as -

2, 4, 8, ....

It is a geometric sequence. For n = 5, we can write -

a(5) = arⁿ⁻¹

a(5) = 2 x (2)⁴

a(5) = 2⁵

a(5) = 2 x 2 x 2 x 2 x 2

a(5) = 32

Therefore, she will record 32 names for the five previous generations.

To solve more questions on functions, expressions and polynomials, visit the link below -

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Answer:

B

Step-by-step explanation:

6 miles............

Answer:

a. 17  b. 51

Step-by-step explanation:

Follow Order of Operations (PEMDAS):

Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

a.  9 + 4² - (4-2) • 4

9 + 4² - (4-2) • 4 –––Start with (4-2) = 2 (parentheses)

9 + 4² - 2 • 4 ––– 4² (exponents)

9 + 16 - 2 • 4 ––– 2 • 4 (multiplication)

9 + 16 - 8 ––– 9 + 16 (addition)

25 - 8 ––– 25 - 8 (subtraction)

17

b. 15 - 4 + 2(7-3) • 5

15 - 4 + 2(7-3) • 5 ––– Start with 2(7-3)

~ Note: this can be done using distributive property (2•7 - 2•3) OR solving the parentheses first and then multiplying 2(4). Both get 8 and same end result.

15 - 4 + 8 • 5 ––– 8 • 5 (multiplication)

15 - 4 + 40 ––– 15 - 4 (subtraction) *Note: Subtraction and addition are interchangeable in the order because you do it left to right*

11 + 40 ––– 11 + 40 (addition)

51

Answer:

(a. 7)  (b. 51)

Step-by-step explanation:

A.

[tex]9 + 4^{2} - (4-2) * 4\\\\9 + 4^{2} - (2) * 4\\9 + 16 - 2 * 4\\9 + 16 - 8\\25 - 8\\17 \\[/tex]

B.

[tex]15 - 4 + 2 (7 - 3) * 5\\15 - 4 + 2 (4) * 5\\15-4+(2*4*5 )\\15-4+40\\11 + 40\\51[/tex]

(I don't know the numerical values)

Answer:

[tex]Solution,\\PQ = \sqrt{(1-3)^2+(3-1)^2} = \sqrt{2^2+2^2} = \sqrt{8} = 2\sqrt{2} \\P'Q' = \sqrt{(3-9)^2+(9-3)^2} = \sqrt{6^2+6^2} = \sqrt{72} = 6\sqrt{2}\\Also,\\RQ = \sqrt{(1-3)^2+(1-1)^2} = \sqrt{2^2} = 2\\R'Q' = \sqrt{(3-9)^2+(3-3)^2} = \sqrt{6^2} =6\\Again,\\PR = \sqrt{(1-1)^2+(3-1)^2} = \sqrt{2^2}=2\\P'R' = \sqrt{(3-3)^2+(9-3)^2} = \sqrt{6^2} = 6\\Here, P'R' = 3PR, P'Q'=3PQ ~and~ Q'R'=3RQ~\\In~other~words~each~side~of~triangle~P'Q'R' ~is~three~times~the~length~of~triangle~PQR.\\[/tex][tex]So,~the~algebraic~rule~of~diliation(enlargement)~is~(x,y)----(3x,3y)[/tex]

If my answer did not help you, comment below but please don't delete it.

Answer:

A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]step - 1 :define[/tex]

[tex]d = rt[/tex]

[tex]step - 2 : solve[/tex]

[tex] \huge \: \boxed { \boxed{ \red{ \therefore t = \frac{d}{r}}}}[/tex]

Answer:

Step-by-step explanation:

Determining Median is super easy!

1. Order the numbers, in ascending order.

8, 11, 11, 12, 13, 15, 16, 16, 18, 21

2. Cross off one number from both ends until you reach the middle number, whether you're left with one or two.

11, 11, 12, 13, 15, 16, 16, 18

11, 12, 13, 15, 16, 16

12, 13, 15, 16

13, 15

3. Determine the average of these two numbers.

(13 + 15) / 2

28 / 2

14

The median for this set of data is 14.

P.S. the average only needs to be calculated when left with two numbers, if you are left with only one, that number is your answer!

Hope this helps :)

Answer:

The median of the following numbers is 14

Step-by-step explanation:

Answer:

252 B

Step-by-step explanation:

45 + 18 + 189

Answer:252

Step-by-step explanation:

Answer:

y=-2x+7

Step-by-step explanation:

slope intercept form is equal to y=mx+c

where y is the y value

x is the x value

m is the gradient

and c is the y intercept

so the equation for this set of values is equal to

y=-2x+7

slope will be the m

and b is the y intercept

y＝mx＋b

y＝-2x＋7

Answer: y= 7/6x-5

Step-by-step explanation:

The equations of parallel lines have the same slope or rates.

The equation of the line parallel to [tex]\mathbf{6x + 7y = -49}[/tex] is [tex]\mathbf{y = -\frac 67(x - x_1) + y_1}[/tex]

The equation is given as:

[tex]\mathbf{6x + 7y = -49}[/tex]

Make 7y the subject

[tex]\mathbf{7y = -6x-49}[/tex]

Make y the subject

[tex]\mathbf{y = -\frac{6}{7}x -7}[/tex]

A linear equation is represented as:

[tex]\mathbf{y =mx + b}[/tex]

Where m represents the slope.

So, we have:

[tex]\mathbf{m = -\frac 67}[/tex]

Parallel lines have the same slope.

So, the slope of the line is [tex]\mathbf{m = -\frac 67}[/tex]

The equation is then calculated as:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

Substitute [tex]\mathbf{m = -\frac 67}[/tex]

[tex]\mathbf{y = -\frac 67(x - x_1) + y_1}[/tex]

Hence, the equation of the line parallel to [tex]\mathbf{6x + 7y = -49}[/tex] is [tex]\mathbf{y = -\frac 67(x - x_1) + y_1}[/tex]

Read more about parallel lines at:

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Answer:

57

Step-by-step explanation:

2x + 9y -9

2(6) + 9(6) - 9

12 + 54 - 9 = 57

good luck, i hope this helps :)

Answer:

57

Step-by-step explanation:

2*6+9*6-9=

12+54-9=

66-9=

57

Answer:

negative 7 is first then comes 2.  negative 9 is first then comes 8.

Step-by-step explanation:

Answer:

6.3

Step-by-step explanation:

Answer:39/50

Step-by-step explanation: