Fill in each box to make the statements true.

The ____ function is written f(x) = ⌊x⌋ and rounds numbers ___ to the nearest integer. The graph of f(x) = ⌊x⌋ includes the point (174, ___ ).

Step-by-step explanation:

a. increased b. discreased c. increased d. decreased

Answer:

Kaden had $17 at first

Step-by-step explanation:

Ben = x

Kaden = x - 10

x + 4

x - 10 + 4 = x -6

x - 6 = [tex]\frac{7}{9}[/tex] x

9(x - 6) = 7x

9x - 54 = 7x

2x = 54

x = 27

x - 10 = 27 - 10 = 17

Answer:

Kaden had $31

Ben had $41

Step-by-step explanation:

k = b - 10

k + 4 = (7/9)(b+ 4)

Substitute for k = b - 10

(b - 10) + 4 = (7/9)(b+ 4)

b - 6 = (7/9)(b+ 4)

multiply by 9 to clear the fraction

9b - 54 = 7(b + 4)

Distribute

9b - 54 = 7b + 28

subtract 7b from both sides

2b - 54 = 28

Add 54 to both sides

2b = 82

Divide both sides by 2

b = 41

k = b - 10

k = 31

Answer:

[tex] - i[/tex]

Step-by-step explanation:

Set up equation.

[tex]i {}^{3} = y[/tex]

[tex] {i}^{2 } \times i = y[/tex]

[tex] - 1 \times i = y[/tex]

[tex] - i = y[/tex]

Step-by-step explanation:

many things are possible.

the only thing we must not do is mixing the addition elements with the multiplication elements.

but we could change the expression to

3×(3×8) + 5

or

5 + (3×3)×8

or

5 + (3×8)×3

and so on, and it would always be the same result.

The new expression is 3×(3×8)+5. Therefore, option B is the correct answer.

The given expression is 5+3 ×(3×8).

We need to use the commutative property of addition and the associative property of multiplication to rewrite the given expression.

The commutative property deals with the arithmetic operations of addition. It means that changing the order or position of two numbers while adding them does not change the end result.

Associative property of multiplication: The associative property of multiplication says that while multiplying three numbers, regardless of the way the numbers are grouped, the end result will always be the same.

The new expression=3×(3×8)+5

Therefore, option B is the correct answer.

#SPJ2

Your question is incomplete, probably the complete question/missing part is:

Which expression uses the commutative property of addition and the associative property of multiplication to rewrite the expression 5+3 * (3*8)

A. (3*3)*8+8

B. 3*(3*8)+5

C. 5+3*(24)

D. 3*(8*3)+5

f(g(7)) = 20

Hope it helps you...

Answer:

C and E

Step-by-step explanation:

Answer:

3 and 5

Step-by-step explanation:

The solution of this problem is in this picture.

Answer:

shhsksbsvsvdbdhsbs. c

9514 1404 393

Answer:

  (d)  -3

Step-by-step explanation:

Put the number into the expression and do the arithmetic.

  f(g(-2)) = f(-2-3) = f(-5) = 2(-5) +7 = -10 +7

  f(g(-2)) = -3

Answer:

8

Step-by-step explanation:

It asks for the y-intercept. The y-intercept is (0,?) the slope is -3 which means it's decreasing by 3. 5+3=8 so 8 is the y-intercept.

Hope this helps and pls tell if it's correct.

Answer:

I need the picture.

Answer:

80 mm

Step-by-step explanation:

1/p + 1/20 = 1/16

Subtract 1/20 from both sides

1/p = 1/16 - 1/20

Use 160 as common denominator

1/p = 10/160 - 8/160

1/p = 2/160

1/p = 1/80

Cross multiply

80 = p

80 mm

Step-by-step explanation:

15a)

[tex]x^2+4x=21[/tex]               Subtract both sides by 21

[tex]x^2+4x-21 =0[/tex]

15b)

7 and -3 multiply to -21 and add to 4

The factors are (x+7)(x-3)

15c)

x+7 =0

x=-7  

x-3=0

x=3              

Answer:

The answer is "Option C".

Step-by-step explanation:

In this question, the distance value is -5 that's why option c is correct.

Answer:

C. Jasmine gave a negative answer for distance.

Answer:

The answer is "35.22".

Step-by-step explanation:

Let the given equation:

[tex]\to 130(x-38) +950 \% \times 38=0\\\\\to 130x- 4940+\frac{950}{100} \times 38=0\\\\\to 130x- 4940+9.5\times 38=0\\\\\to 130x- 4940+361=0\\\\\to 130x- 4579=0\\\\\to 130x= 4579\\\\\to x= \frac{4579}{130}\\\\\to x= 35.22[/tex]

Answer: $25

Step-by-step explanation: took the quiz

Answer:

Step-by-step explanation:

Think back to the definition of absolute value:

• If x ≥ 0, then |x| = x.

• If x < 0, then |x| = -x.

In other words, the absolute value always returns a positive number. So if x is positive, leave it alone; but if it's negative, then you have to negate it to get a positive number back.

This means that you cannot simply reduce |x - y | to x - y because you need to consider the possibility that x - y may be negative, in which case |x - y | would reduce to -(x - y) = y - x.

In this case,

|4√2 - 6| = -(4√2 - 6) = 6 - 4√2

because 4√2 < 6, which you can determine by comparing both of these numbers as square roots:

4√2 = √16 √2 = √32

6 = √36

and √32 < √36 because 32 < 36.

Similarly,

|2√10 - 6| = 2√10 - 6

because

2√10 = √4 √10 = √40

6 = √36

So ultimately,

|4√2 - 6| + |2√10 - 6| = (6 - 4√2) + (2√10 - 6) = 2√10 - 4√2

Answer:

sin θ = 22.62°

cos θ = 22.62°

tan θ = 22.62°

Step-by-step explanation:

From the diagram above

Opposite = 5

Adjacent = 12

Hypotenuse = 13

a) sin θ = Opp/Hypotenuse

sin θ = 5/13

sin θ = 0.3846153846

arc sin 0.3846153846

= 22.619864948°

Approximately = 22.62°

b) cos θ = Adjacent/ Hypotenuse

θ = 12/13

= arccos(0.9230769230769231)

22.619864948°

Approximately = 22.62°

c) tan θ = Opposite/Adjacent

θ = 5/12

= arctan(0.4166666666666667)

= 22.619864948°

= 22.62°

Answer:

140

Step-by-step explanation:

40 divided by 16 = 2.5 .  350 divided by 2.5=140 hope this helped

Answer:

2.4f-17

Add similar elemets : 2.7f + 0.3f =2.4f

Subtract the numbers:-12 - 5= -17

Answer:

- 2.4f - 17

Step-by-step explanation:

Given

- 2.7f + 0.3f - 12 - 5 ← collect like terms

= - 2.4f - 17

Answer:

B

Step-by-step explanation:

The vertical line test means that if there can't be two y values on the same x point. For example, if you put a vertical line through the red line, it would hit two points, meaning that it isn't a function.

Answer:

3/5 is expressed as 60% in terms of Percentage.

Let's convert the fraction 3/5 into percent. Now, 60/100 is expressed as 65% in terms of percentage.

Given:

The given number is:

[tex]96[/tex]

To find:

The product of prime factors of given number.

Solution:

We have,

[tex]96[/tex]

The prime factors of given number are:

2 | 96

2 | 48

2 | 24

2 | 12

2 | 6

3 | 3

  | 1    

So, 96 can be written as:

[tex]96=2\times 2\times 2\times 2\times 2\times 3[/tex]

Therefore, the 96 as the product of prime factors is [tex]96=2\times 2\times 2\times 2\times 2\times 3[/tex].

Answer:

A. (x + 2)²(x - 2)²

Step-by-step explanation:

x⁴ - 8x² + 16 =

(x² - 4)(x² - 4) =

(x - 2)(x + 2)(x - 2)(x + 2) =

(x - 2)²(x + 2)²

Answer:

$425.6 should be budgeted for weekly repairs and maintenance.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean $400 and standard deviation $20.

This means that [tex]\mu = 400, \sigma = 20[/tex]

How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?

This is the 100 - 10 = 90th percentile, which is X when Z has a p-value of 0.9, so X when Z = 1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 400}{20}[/tex]

[tex]X - 400 = 20*1.28[/tex]

[tex]X = 425.6[/tex]

$425.6 should be budgeted for weekly repairs and maintenance.

Answer:

18x

Step-by-step explanation:

If f(x) is 5x which can also be expressed 5(x)

Then r(x) is a number then x

f is the fifth digit in the alphabet

So fx is 5x

r is the 18 th letter so

18x

Answer:

[tex]\sqrt[6]{2\\}[/tex]

Step-by-step explanation:

Rewriting

2 ^1/2 ÷ 2 ^ 1/3

We know a^ b ÷ a^c = a^ (b-c)

2 ^ (1/2 -1/3)

Getting a common denominator

2^ ( 3/6 - 2/6)

2^ 1/6

[tex]\sqrt[6]{2\\}[/tex]

Answer:

[tex]\sqrt[6]{2}[/tex]

Step-by-step explanation:

We can start by writing the expression as one power of two, and then comparing it to the options. The square root of two is the same and [tex]2^{\frac{1}{2} }[/tex] and the cube root of two is the same as [tex]2^{\frac{1}{3} }[/tex]. Therefore, we can rewrite the expression:

[tex]\frac{2^{\frac{1}{2} }}{2^{\frac{1}{3} }}[/tex]

Now, to write them as one power of two, we can use the quotient rule which states, [tex]\frac{x^m}{x^n} = x^{m-n}[/tex]:

[tex]2^{\frac{1}{2} -\frac{1}{3}}[/tex]

We just need to subtract 1/3 from 1/2 to get:

[tex]2^{\frac{1}{6} }[/tex]

This is the same as the 6th root of 2, which is the second option.

Answer:

Evaluated, you get 4x^4

Step-by-step explanation:

Differentiated, you get 16x^3

It all depends on what you're looking for, really

Answer:

Did you find them ?

Step-by-step explanation:

Answer:

61.6 dollars

Step-by-step explanation:

So, lets go over what we know:

The shows orginally cost 88 dollars.

They are 30% less than that.

This basically means that the shoes will cost 70 percent of their orginal price.

We can basically find the new cost by multiplying the 88 dollars by the 70 percent.

Or, multiplying 88 by 0.7, which is the decimal form of 70%.

88*0.7=61.6

How did I get this?

Multiply 80 by 0.7:

7*8=56

We have 0.7 so it = 5.6

However, it's tens place is 80, not 8, so it will be = 56

It is the same thing in the ones place, however it is 8 not 80, so it will be 0.7*8

= 5.6

56+5.6=61.6

So 61.6 is our answer.

Hope this helps!

Answer:

$61.60

Step-by-step explanation:

the other answer is correct.

just to add some explanation about the % considerations.

we know $88 is 100%

in order to get any other % value, we need to divide the original value by 100 (that gives us 1%), and then multiply with the number of % we want to have - in our example 70, as the discount is 30% (so the remaining part is 70% of the original price).

so, in order to get 70% we actually have to do the above things and divide by 100 and multiply by 70.

70% = (100% / 100) × 70 = 100% × 70 / 100

70 / 100 = 0.7 (that is how answer 1 actually got that multiplication factor)

70% = 100% × 0.7

70% = $88 × 0.7 = $61.60

Answer:

AUB= {1,2,3,5,6,7,9}

AnB={1,2,3}