For ΔFGH, shown below, which of the following is an expression for yin terms of x?






x+4

x2+4−−−−−√

x2+8−−−−−√

x2−16−−−−−−√

x2+16−−−−−−√

The value of x in the expression is 35

The expression is written as

1/5x - 4 = 3

collect the like terms of both sides to get the value of x

1/5x = 3 + 4

1/5x= 7

Divide both sides by the coefficient of x which is 1.5

1/5x ÷ 1/5 = 7 ÷ 1/5

x= 7 ÷ 1/5

x= 7 × 5/1

x= 35

Hence the value of x in the expression is 35

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An equation that models the amount of time Omar spends printing on Tuesday is: 135 = 30 × m, where m be the amount of time, in minutes.

We have been given Omar uses a laser printer that prints 30 pages per minute.

So, the rate of printing = 30 pages/ minute

On Monday, he prints 8 pages.

Omar prints a total of 143 pages on Monday and Tuesday.

So, the number of pages printed on Tuesday are:

143 - 8 = 135

So On Tuesday, Omar prints 135 pages.

let m be the amount of time, in minutes, he spends printing on Tuesday.

We need to find an equation to model the amount of time Omar spends printing on Tuesday.

number of pages printed = (rate of printing) × (amount of time, in minutes)

Using this formula for given example, we get an equation,

135 = 30 × m

Therefore, an equation that models the amount of time Omar spends printing on Tuesday is: 135 = 30 × m, where m be the amount of time, in minutes.

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Your question was incomplete. Please refer the content below

Omar uses a laser printer that prints 30 pages per minute. on Monday, he prints 8 pages. on Tuesday, he prints more pages. Omar prints a total of 143 pages on Monday and Tuesday. let m be the amount of time, in minutes, he spends printing on Tuesday. part a create an equation using m to model the amount of time Omar spends printing on Tuesday.

[(3/4), -(√5), -3, 2.5 and 0] when arranged in ascending order will be in the order of [tex][(-3),-(\sqrt{5}),0,\frac{3}{4},2.5][/tex].

As per question statement, we are provided with 5 random numbers:

[(3/4), -(√5), -3, 2.5 and 0].

We are required to rearrange the above mentioned numbers in their ascending order.

We know from basic mathematical knowledge that, any number of integer or fraction with a negative sign is less than Zero or any other positive number.

Here, we have two negative quantities [-(√5) and (-3)]. Since [tex]4 < 5 < 9\\or, \sqrt{4} < \sqrt{5} < \sqrt{9} \\or,2 < \sqrt{5} < 3\\or,(-2) > [-(\sqrt{5})] > (-3)\\or,(-3) < [-(\sqrt{5})] < (-2)[/tex]

That is, we have established our required relation between the negative numbers.

We also know that, zero is the midpoint of the number line and any other positive number is greater than zero while any negative number is less than zero. Hence, [tex][(-3) < -(\sqrt{5}) < 0][/tex] and [tex](0 < \frac{3}{4}),(0 < 2.5)[/tex].

Now, between (3/4) and 2.5, since (3/4) is a proper fraction, it means that (3/4) is less than 1, and since (1 < 2.5), therefore, [tex](\frac{3}{4} < 2.5)[/tex].

Hence, [(3/4), -(√5), -3, 2.5 and 0] when arranged in ascending order will be in the order of [tex][(-3),-(\sqrt{5}),0,\frac{3}{4},2.5][/tex].

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Using translation concepts, the coordinates of A' are given as follows:

A' (6,-2).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The rule for a translation over the line y = x is given by:

(x,y) -> (y,x).

The coordinates of A are (-2,6), hence the coordinates of A' are given as follows:

A' (6,-2).

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After a 90-degree counterclockwise rotation of the point (-10, 6); the image point will be (- 6, - 10) .

As we all know, when a point ( x, y ) rotates counterclockwise, then the new coordinates of the given point are ( -y, x ).

Here the given point is (-10, 6) , where x = -10 and y = 6 ; as we know after rotation new x  will be -6 and new y will be -10 .

So, after rotation the new coordinates will be ( -6 , -10 ) .

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She is most likely to get strawberry in her lunch today.

This problem can be understood if we know the concept of probability.

In probability we just have to calculate what are the chances of any favorable outcome to occur by dividing with the total number of outcomes.

Here, Joyce's dad packs her lunch with one Yoghurt everyday.

And there are 5 yoghurts in the refrigerator.

The probability of getting raspberry flavor = 1/5

The probability of getting a strawberry flavor is = 2/5

The probability of getting a blueberry flavor is = 1/5

The probability of getting vanilla flavor is = 1/5

So, the highest probability is of getting strawberry flavor.

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Answer:numbers

Step-by-step explanation:

numbrres and letters

Answer:

4th choice [tex]\bold{f^{-1}(x) = \sqrt{x} + 4}[/tex]

Step-by-step explanation:

Definition of the inverse of a function

A function g is the inverse of a function f if whenever y=f(x) then x=g(y). In other words, applying f and then g is the same thing as doing nothing. We can write this in terms of the composition of f and g as g(f(x))=x. The domain of f becomes the range of g and the range of f becomes the domain of g

To solve for the inverse of the function [tex]f(x) =\left(x-4\right)^2[/tex]

Let [tex]y=\left(x-4\right)^2[/tex]

[tex]\mathrm{Replace}\:x\:\mathrm{with}\:y[/tex] [tex]\text{ and replace }\:y\:\mathrm{with}\:x[/tex]

[tex]x=\left(y-4\right)^2[/tex]

Switch sides
[tex]\left(y-4\right)^2=x[/tex]

Take square roots on both sides
[tex]y-4=\pm\sqrt{x}[/tex]

Add 4 on both sides to solve for y

[tex]y = \pm\sqrt{x} + 4[/tex]

We have two solutions

[tex]y=\sqrt{x}+4,\:y=-\sqrt{x}+4[/tex]

To determine which one of these to be chosen not that in the given choices we can eliminate the first two since x cannot be negative

The third choice can also be eliminated since
[tex]-\sqrt{x} + 4[/tex] is a decreasing function for [tex]x \ge 0[/tex]

So the last answer choice is correct and the inverse of[tex]f(x) = (x-4)^2[/tex]

is given by  [tex]f^{-1}(x) = \sqrt{x} + 4[/tex]

Answer:4th choice [tex]\bold{f^{-1}(x) = \sqrt{x} + 4}[/tex]

Note

Domain of  (x-4)² is [4, ∞) since x ≥ 4 and (x-4)²  cannot be negative

Range of (x-4)²  is [0,  ∞)

Domain of [tex]\sqrt{x}\:+\:4[/tex] is [0, ∞)

Range of [tex]\sqrt{x}\:+\:4[/tex] is [4, ∞)

so indeed the domain of (x-4)² has become the range of [tex]\sqrt{x}\:+\:4[/tex] and the range of (x-4)² has become the domain of [tex]\sqrt{x}\:+\:4[/tex]

Answer: 35.9

Step-by-step explanation:

Answer:

The answer would be 35 9/10 gallons of water left.

Answer:

f(x)=3

Step-by-step explanation:

equal to y=3 because the lime is horizontal meaning each point has the same y value

The true statement about the dilation is (d) The dilation has a scale factor of 0.5.

The given parameters are

Initial perimeter = 24 units

New perimeter = 12 units

The scale factor of dilation is calculated as

Scale factor  = New perimeter/Initial perimeter

So, we have

Scale factor  = 12/24

Evaluate

Scale factor  = 0.5

Hence, the true statement about the dilation is (d) The dilation has a scale factor of 0.5.

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Answer: The U.S. Weather Bureau has a station on Mauna Loa in Hawaii that has measured carbon dioxide levels since 1959. At that time, there were 313 parts per million of carbon dioxide in the atmosphere. In 2005, the figure was 383 parts per million.

Step-by-step explanation:

According to the solving the fraction of the candles is red = 7/10.

A fraction is a portion of a whole. In arithmetic, each number is represented as a quotient, which is the numerator divided by the denominator. In a simple fraction, are both integers. A complicated fraction contains a fraction in either the numerator or denominator.

To calculate a fraction of either a number, divide it by the fraction's denominator, then multiply the result by the fraction's numerator. For example, if we wanted to figure out what 3/8 of 24 is, we might divide 24 by 8. (the denominator of the fraction).

Let 1 would be the total,

So,

2/10 are green.

1/2 of 1 is 1/2, so 1/2 candles are pink.

1/5+1/2.

1/5+1/2 = red candles

there is ultimately 7/10 candles that are red.

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I understand that the question you are looking for is:

1/2 of the candles on Claire's birthday cake are pink. 2/10 of the candles are green. The rest are red. What fraction of the candles is red?

Answer:

3/6

Step-by-step explanation:

i think

Answer: 3

Step-by-step explanation:

t=3

−t+(5−t) 3=

−t+(5−t)*3=

−t+3(5−t)=

−3+3(5−3)=

-3+15-9=

12-9=3

Hence, the answer is 3.

Answer:

Given t = 3,

[tex]\sf -t + (5 - t) * 3\\-3 + (5 - 3) * 3\\5 - 3\\= 2\\= -3 + 2\\= 1\\= 1 * 3\\= 3[/tex]

Therefore, your answer is 3.

Step-by-step explanation:

Add everything and then equate it to 360 and when you have found x, substitute it in A and B

Answer:

Step-by-step explanation:

You want the slope-intercept equation of the line through (2, 2) and parallel to the line through (-1, 6) and (1, 5).

The parallel line will have the same slope. The slope is given by the equation ...

  m = (y2 -y1)/(x2 -x1)

  m = (5 -6)/(1 -(-1))

  m = -1/2

We need to find the y-intercept of the desired line. Solving the equation for "b", we get ...

  y = mx +b

  b = y -mx . . . . . . . subtract mx to find b

  b = 2 -(-1/2)(2) . . . . use m=-1/2 and (x, y) = (2, 2)

  b = 2 +1

  b = 3

The equation we want is ...

  y = -1/2x +3

Answer:

I would say 9 miles

Step-by-step explanation:

He would have to be HAULING it to run 6 miles in 8 minutes lol.

But, I think it's 9 miles

Answer:

Tom will run 9 miles in 12 minutes.  

Step-by-step explanation:

The path of the ball in terms of the balanced or unbalanced forces that act on it is described by the following option;

According to Newton's laws of motion, a body remains at rest or maintains a uniform motion in a straight line unless unbalanced forces are acting on it.

Therefore;

The forces are balanced when the ball is at rest in the pitcher's glove.

While the ball is made to move during the pitcher's windup and release, the forces are unbalanced.

The forces are balanced while the ball is traveling at a constant speed (uniform motion).

When the ball's speed is changed as it hits the catcher's gloves, the forces are unbalanced.

When the ball is at rest in the catcher's gloves, the forces are balanced.

The correct option is therefore the 6th option

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In linear equation ,316 is the number of seats for each aircraft .

What are instances of linear equations?

Aircraft B: x seats

Aircraft A: x+ 127 (127 more than B)

Total seats on both is 505.

So, x+127+x = 505

Combine like terms

2x+127 = 505

Subtract by 127 both sides

2x = 505-127 = 378

Divide by 2 on both sides

x = 189 seats (B)

x + 127 =189 + 127 =   316 (A)

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This number can have a maximum value of 18.64.

So, when rounded to the nearest tenths, the number is 18.59.

Therefore, this number can have a maximum value of 18.64.

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The amount invested in the in  account that had an 11% profit is $26,000

The amount invested in the in  account that had a 4% loss is $3,000.

a + b = 29,000 equation 1

0.11a - 0.04b = 2740 equation 2

Where:

a = amount invested in the account that had an 11% profit

b =  = amount invested in the account that had a 4% loss

Multiply equation 1 by 0.11

0.11a + 0.11b = 3190 equation 3

Subtract equation 2 from equation 3

0.15b = 450

Divide both sides of the equation by 0.15

b = 3000

Subtract 3000 from 29,000

a = 29,000 - 3,000 = 26,000

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Answer:

between 2 and

Step-by-step explanation:

Answer:

between

2 and

Step-by-step explanation:

The quotient in the form q(x)+r(x)/b(x) which is equal to the  x^3 +4x +(24x +1 divided by  x^2 − 6), and the identification q(x) , r(x) , and b(x) are as follow :q(x) =   x^3 +4x

r(x) = 24x +1

b(x) = x^2 − 6

Given details in the following question are as follows:

x^5 − 2x^3 + 1 is divided by x^2 − 6

By using the divisor method :

x^5 − 2x^3 + 1 / x^2 − 6 = x3 +(4x^3+1 is divided by  x^2 − 6)

= x^3 +4x +(24x +1 divided by  x^2 − 6)

where we can see that the q(x) +r(x)/b(x) is equal to the  x^3 +4x +(24x +1 divided by  x^2 − 6)

q(x) =   x^3 +4x

r(x) = 24x +1

b(x) = x^2 − 6

The quotient in the form q(x)+r(x)/b(x) which is equal to the  x^3 +4x +(24x +1 divided by  x^2 − 6)

A divisor divides a number into equal groups. The number that is being divided is called the dividend and the number that divides it is called the divisor.

Divisor Formula

The divisor formula is formed for two situations - with or without a remainder:

If the remainder is 0, then Divisor = Dividend ÷ Quotient.

If the remainder is not 0, then Divisor = (Dividend - Remainder) ÷ Quotient

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Answer:

50+10n for Raymond and 30+15n for Felicia

Step-by-step explanation:

N is for the amount of weeks times the amount saved per week then add the amount saved in the beginning.

Answer:

Four times the difference of a number and 5 means equates to: 4(x-5), with x being the unknown number. You also know that this equation is equal to the number, x, increased by 4. So you now know that 4(x+5) is equal to (x+4

A, perpendicular line

Answer: 5>x

Step-by-step explanation: hope this right

Answer: 2x+5

Step-by-step explanation:

Five more is adding 5

Twice a number would be 2 times something so we use a variable as "a number"

Answer: $3.16 per pound

Step-by-step explanation:

$15.8/5=$3.16 per pound

Answer42 - 2197

Step-by-step explanation: