Which is the simplified form of the expression

y=4th qrd -6 ¡5 f= 3rd qrd 3 and ¡3

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Explanation:

Refer to the diagram below. The rectangle MATH has the diagonal MT that cuts the rectangle into two identical right triangles.

We then use the pythagorean theorem to find the length of the hypotenuse MT.

a^2 + b^2 = c^2

10^2 + 24^2 = c^2

100 + 576 = c^2

676 = c^2

c^2 = 676

c = sqrt(676)

c = 26

Segment MT is 26 cm long.

This applies to the other diagonal AH as well.

Answer:

Step-by-step explanation:

Let the volume of used water is x.

We have:

Correct choice is B

Answer: 62°

Step-by-step explanation:

Total angle in a triangle = 180°

40° + 78° + < N = 180°

118° + <N =180

<N = 180 -118

<N=62°

Answer:

-1/2

Step-by-step explanation:

(-1/4)/(1/2)=-1/2

Answer:

The full scholarship fund will be 4000

Step-by-step explanation:

When doing these types of problems I like to do this.

1500 ÷ 3 = 500 (We do this because you want to find out what 1/8 is)

Since 500 is 1/8 of the part, all you have to do is multiply 500 by 8

500 × 8 = 4000

Answer:

6 cm

Step-by-step explanation:

The area of a square is its side squared(multiplied by itself). In order to find the length of the square, you would need to find a number which is multiplied by itself to get 36. This number is 6, meaning the length of the square is 6 cm.

Answer:

It's the second graph, I circled it in blue

Answer:

24=40/100×x

Step-by-step explanation:

i think the equation is

24=40/100×x

24 is equal to 40 percent of a number which I have represented by x

I hope this helps

Answer:

z=  2 - 3i

      1 + i

Step-by-step explanation:

I'm not sure but hope it helps.

Answer:

The answer is C

Step-by-step explanation:

The line graph shows the line going right so it greater than or >. The circle is not colored in so there is no line under the greater than sign > so answer is C

Answer:

1 = YES

2 = NO

Answer:

okay

Step-by-step explanation:

Answer:

a) greater than 20

b) 20 is the estimate (round all the three other numbers and add, then subtract from 80 because 20, the average, times the four meetings is 80)

c) You can check your estimate by adding all of the numbers and subtracting the answer by 80. 18 + 17 + 21 = 56. 80 - 56 = 24

24 is closer to 20 than 30, so our estimate is correct.

Step-by-step explanation:

Answer:

Ms. Martinez =  Tom received $115, $75 to mulch the yard and $40 for a yard cleanup.

Step-by-step explanation:

Tom made $405 for the week from his three clients

Mr. Hansen paid Tom $125

Mrs. Johnson paid Tom $165

405-165-125=115

Ms. Martinez paid Tom $115, which meant that he would have cleaned the yard ($40) and mulch the yard ($75)

The unit amount and time for each service offered by Tom can be represented as equations. The conclusion from the given parameters are:

Given that:

Cost

[tex]\$40 \to[/tex] Yard cleanup

[tex]\$50 \to[/tex] Mowing a lawn

[tex]\$75 \to[/tex] Mulching a yard

Time

[tex]2\ hrs \to[/tex] Yard cleanup

[tex]40\ mins \to[/tex] Mow a lawn

[tex]2\ hrs \to[/tex] Mulching a yard

[tex]Total\ Earnings = \$405[/tex]

From the question, we understand that:

[tex]Mr.\ Hansen = \$125[/tex]

Recall that:

[tex]\$50 \to[/tex] Mowing a lawn

[tex]\$75 \to[/tex] Mulching a yard

Add up:

[tex]\$50 + \$75 = 125[/tex]

This means that Mr. Hansen paid $125 to mow a lawn and to mulch a yard.

[tex]Mrs.\ Johnson= \$165[/tex]

Recall that:

[tex]\$40 \to[/tex] Yard cleanup

[tex]\$50 \to[/tex] Mowing a lawn

[tex]\$75 \to[/tex] Mulching a yard

Add up:

[tex]\$40 + \$50 + \$75 =\$165[/tex]

This means that Mrs. Johnson paid $165 for the three services

The amount paid by Ms. Martinez is calculated as follows:

[tex]Mr.\ Hansen + Mrs.\ Johnson + Ms.\ Martinez = Total\ Earnings[/tex]

Substitute known values

[tex]\$125 + \$165 + Ms.\ Martinez = \$405[/tex]

[tex]\$290 + Ms.\ Martinez = \$405[/tex]

Collect like terms

[tex]Ms.\ Martinez = \$405 - \$290[/tex]

[tex]Ms.\ Martinez = \$115[/tex]

This means that Ms. Martinez paid $115

Recall that:

[tex]\$40 \to[/tex] Yard cleanup

[tex]\$75 \to[/tex] Mulching a yard

Add up

[tex]\$40 +\$75 = \$115[/tex]

This means that Ms. Martinez paid $115 for a yard cleanup and to mulch a yard.

Read more about equations at:

https://brainly.com/question/2263981

Answer:

Step-by-step explanation:

The probability of breakdown

Concrete mixer is 1/4, dumper 1/6, and hoist 1/8.

1. All machines breakdown.  

1/4 +1/6 + 1/8 = 13/24

2. 2 machines break down

CM and D 1/4 + 1/6 = 5/12

CM and H 3/8

D and H 7/24

Hi

P(C) is first B then C

so P ( B) = 0.4

event C is 0.2 also P( C) = 0.4 x 0.2 = 0.08

Answer:

-3/4

Step-by-step explanation:

slope of given line:

4y=-3x+8

y=-3/4 *x+8

m=-3/4

parallel lines have equal slopes so required slope is -3/4

Answer:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

24000

Step-by-step explanation:

instead of 20000 you've got to round the no before it then you'll know your answer as 24000

Answer: C = $37.5

Step-by-step explanation:

Given information

Price of one ticket = $8.50

Convenience fee = $3.50

Number of tickets = 4

Given expression

C = 8.50t + 3.50

Substitute the value of the ticket into the expression

C = 8.50 (4) + 3.50

Simplify by multiplication

C = 34 + 3.5

Simplify by addition

C = $37.5

Hope this helps!! :)

Please let me know if you have any questions

Answer:

[tex]thank \: you[/tex]

Answer: x = 11

Step-by-step explanation:

Given

4 (x - 1) = 2 (x + 9)

Expand parentheses and apply the distributive property

4x - 4 = 2x + 18

Subtract 2x on both sides

4x - 4 - 2x = 2x + 18 - 2x

2x - 4 = 18

Add 4 on both sides

2x - 4 + 4 = 18 + 4

2x = 22

Divide 2 on both sides

2x / 2 = 22 / 2

Hope this helps!! :)

Please let me know if you have any questions

Answer: a=6 and b=2

Step-by-step explanation:

Let say A and b the 2 numbers.

[tex]\dfrac{a}{b} =\dfrac{3}{1} \Longrightarrow\ a=3b\\\\\dfrac{a^2+b^2}{a-b} =\dfrac{10}{1} \Longrightarrow\ (3b)^2+b^2=10*(3b-b)\\\\\Longrightarrow\ 10*b^2=10*2b\\\\\Longrightarrow\ b=2\\\\\Longrightarrow\ a=6\\\\[/tex]

Answer:

Concept:

When encountering questions that ask for simplifying expressions through operation, following the PEMDAS method would be easier:

Therefore, the whole process of simplifying the given expression should follow the PEMDAS method. For extra, whenever there are two occurences of the same operation, then prioritize the leftmost and go right.

Hope this helps!! :)

Please let me know if you have any questions or need further explanation

Answer:

z° = 135°

Step-by-step explanation:

The measure of the interior angle is 135°. The sum of the measures of its interior angles is 1080°.

I hope I helped you^_^

a) Since division by zero is undefined, we have that

[tex]13-x\neq0\Leftrightarrow x\neq13[/tex]

In interval notation

[tex]D=( -\infty ,13) \cup ( 13,\infty )[/tex]

b) Since a square root of a negative number is undefined over the Reals, we have that

[tex]9+x\geqslant 0\Leftrightarrow x\geqslant -9[/tex]

In interval notation

[tex]D=[-9,\infty )[/tex]

c)Since division by zero is undefined, we have that

[tex]2x+1\neq 0\Leftrightarrow 2x\neq -1\Leftrightarrow x\neq -\frac{1}{2}[/tex]

In interval notation

[tex]D=\left( -\infty ,-\frac{1}{2}\right) \cup \left( -\frac{1}{2} ,\infty \right)[/tex]

d) Since a square root of a negative number is undefined over the Reals, we have that

[tex]4x-3\geqslant 0\Leftrightarrow 4x\geqslant 3\Leftrightarrow x\geqslant \frac{3}{4}[/tex]

In interval notation

[tex]D=\left[\frac{3}{4} ,\infty \right)[/tex]

Answer:

product is the result of multiplication or an expression that identifies factors to be multiplied..

The product of the given expression (7x²)(2x³ + 5)(x² - 4x - 9) is,

[tex]14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2[/tex]

The product between expressions can be defined as the outcome or result obtained by multiplying two or more numbers, terms, or quantities together. It represents the combined value or the total when multiple factors are multiplied.

The given expression is,

(7x²)(2x³ + 5)(x² - 4x - 9)

Multiplying the first two expressions,

[tex](7 \times 2 x^{2+3} + 7\times 5x^2)(x^2 -4x -9)\\(14 x^5 + 35 x^2)(x^2 -4x -9)\\[/tex]

Now again multiplying these two expressions

[tex]14x^{5+2} - 4 \times 14 x^5 - 14 \times 9 x^5 + 35x^{2+2} - 35 \times 4x^{2+1} - 35 \times 9 x^2[/tex]

Simplifying this we get,

[tex]14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2[/tex]

Hence,

The product of the given expression is,

[tex]14x^{7} - 56 x^6 - 126 x^5 + 35x^{4} - 140x^{3} - 315 x^2[/tex] .

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ4

E

Step-by-step explanation:

cause it the best estimate of a value of an unknown parameter and E describes it best

Answer:

$54.00

Step-by-step explanation:

area of balcony= length * width

area= 3*9

area= 27 sq.feet

cost of 1 sq.feet=$2.00

cost of 27 sq.feet= $2.00*27

cost of 27 sq.feet= $54.00

Answer:

7.50$

Step-by-step explanation:

49.98÷100=0.4998=1%

0.4998×15= 7.497 which is 15%of their bill

0.2 Repeating Decimal is 2/9 as a Fraction

Answer:

2.9

Step-by-step explanation:

We let 0.2 be x.

Since x is recurring in 1 decimal places, we multiply it by 10.

10x = 2.2

Next, we subtract them.

10x - x = 2.2 - 0.2

9x = 2

Lastly, we divide both sides by 9 to get x as a fraction.

Answer: x = 2.9 or 2/9.