find the length of side AC to the nearest centimeter.

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:

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:the what:0

Step-by-step explanation:

Answer:

its the first one

Step-by-step explanation:

Answer:

252 B

Step-by-step explanation:

45 + 18 + 189

Answer:252

Step-by-step explanation:

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:

Step-by-step explanation:

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

Answer:

The length of Mai's bike ride was 2.1 times the length of Noah's ride.

Step-by-step explanation:

Mai biked 5 1/4 miles today

So he biked, in miles:

[tex]5 + \frac{1}{4} = \frac{5*4 + 1}{4} = \frac{20+1}{4} = \frac{21}{4}[/tex]

Noah biked 2 1/2 miles.

So, in miles, he biked:

[tex]2 + \frac{1}{2} = \frac{2*2 + 1}{2} = \frac{4+1}{2} = \frac{5}{2}[/tex]

How many times the length of Noah’s bike ride was Mai’s bike ride?

We divide the Mai distance by Noah's distance. In a division of fractions, we multiply the numerator by the inverse of the denominator. So

[tex]\frac{\frac{21}{4}}{\frac{5}{2}} = \frac{21}{4} \times {2}{5} = \frac{21*1}{2*5} = \frac{21}{10} = 2.1[/tex]

The length of Mai's bike ride was 2.1 times the length of Noah's ride.

I don't know :/ sorry hold on wait

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:

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:

https://brainly.com/question/14814262

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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 -

brainly.com/question/17421223

#SPJ2

Answer:

No it is not a function for sure.

Answer:

Half Maximum capacity a week 3. And the class started off with 3 people.

Step-by-step explanation:

Answer:

B. (3,2)

Step-by-step explanation:

Step 1) When shifting from A(1,2) to B(4,4), the point shifted 3 units to the right (which means x=3) and 2 units upwards (which means y=2).

Step 2) So when you apply the same movements to point C(0,0), the new point will be (3,2).

See the diagram below. Step 1 is the graph on the left. Step 2 is the graph on the right. The movement is colored in green. Hope this helps!

Answer:

b

Step-by-step explanation:

Time taken for the total workout = 15 + 30 + 45 = 90 minutes

Time taken for lifting weight : total time = 30 : 90

                                                                 = 1 : 3

Answer:  A=3.6

Step-by-step explanation: let A= # of gallons of 30% solution of alcohol

.3A+60(.14)=.2(60+A)

.3A+8.4=12+.2A----->subtract .2A and 8.4 from each side highlight%28A=36%29 gallons of 30% solution of alcohol

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:

m = 1/3, b = 2

Step-by-step explanation:

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

9514 1404 393

Answer:

  (c)  No, it is not a rectangle because the diagonals are not congruent

Step-by-step explanation:

The diagonals of a rectangle bisect each other and are the same length. The lengths of the diagonals of this figure are ...

  AC = √((8-0)² +(6-2)²) = √(64+16) = 4√5

  BD = √((5-3)² +(2-6)²) = √(4 +16) = 2√5

The diagonals are different lengths, so the parallelogram is not a rectangle. This is described correctly in choice C:

  No, it is not a rectangle because the diagonals are not congruent.

_____

The lengths are found using the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

It's C, the diagonals are not congruent (they aren't equal) and with rectangles they always have to be.

Answer:

-9.85

Step-by-step explanation:

-15.5 - 4.2 = -19.7

Negatives work like positives

19.7 / 2 = 9.85

Turn that into a negative

-9.85

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

Answer:

B

Step-by-step explanation:

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