Runways A and B are parallel to each other and perpendicular to Runway C. If Runway D makes a 35 degree angle with Runway Aaa show in the diagram, what is the measure of the angle marked in the diagram between Runways C and D?

Answer: 2/3^3

Step-by-step explanation:

To find the volume of a box, you use the formula, Lenth*Width*Height=Volume

The Lenth is 3 1/2. The width is 1 1/3 and the height is 2/14

Plug the values in formula

3 1/2*1 1/3*2/14

Covert the mixed numbers into imporper fractions so it is easier to solve

3 1/2=7/2

1 1/3=4/3

7/2*4/3*2/14

Reduce 2/14

2/14=1/7

7/2*4/3*1/7=7*4*1/(2*3*7)=28/42

Reduce 28/42=14/21=2/3

2/3 ft^3

Answer:

Step-by-step explanation:

40%=0.4

0.4*25=10

To calculate 40 percent of 25, you use the equation 0.40 x 25. This equation multiplies the decimal form of 40 percent by the total, which in this case is 25, resulting in the value of the part that represents 40 percent.

To find 40 percent of 25, you can use the equation that incorporates the base value (25) and the percentage you want to find (40%). In this case, the equation you're looking for is 0.40 x 25, which will give you the answer for what is 40 percent of 25.

Percentages can be calculated by using the formula: 'part over total, times one hundred, equals percent'. For example, if you have 25 students and want to find out what 40% of that number is, you would calculate 40/100, which is 0.40, and multiply by 25. The equation 0.40 x 25 is thus used to solve for the desired percentage.

Answer:

y intercept (0,490)

I would use (Graphing equation standard form) to identify x and y intercepts. I will Plot the y intercept (0,490) and the x intercept (735,0)

,It will Connect the two intercepts with a straight line

2x + 3y = 1,470

3y = -2x + 1470

y = (-2x + 1470 ) / 3

y = -2/3 * x + 1470/3

y = -2/3 * x + 490

slope is -2/3

y intercept is 490

x intercept (735,0)

Step-by-step explanation:

Answer:

[tex]2x+3y=1470[/tex]

Step-by-step explanation:

Givens

So, [tex]x[/tex] represents the number of sandwiches and [tex]y[/tex] represents the number of wraps, so the profit on each food is

[tex]2x[/tex] and [tex]3y[/tex], so the sum of them must be equal to $1470, as follows

[tex]2x+3y=1470[/tex]

Which is a linear equation, that means if we graph, it would be a line.

To graph this, we just need to find two points.

For [tex]x=0[/tex], let's find [tex]y[/tex]

[tex]2x+3y=1470\\2(0)+3y=1470\\y=\frac{1470}{3}=490[/tex]

For [tex]y=0[/tex]. let's find [tex]x[/tex]

[tex]2x+3y=1470\\2x+3(0)=1470\\x=\frac{1470}{2}=735[/tex]

Therefore, the two points to graph the line are [tex](0,490)[/tex] and [tex](735, 0)[/tex]. Now, we graph these coordinates and draw a line that must cross them

The resulting graph should be like the image attached.

Answer:

=4(x−3)(x+6)

Step-by-step explanation:

4x^2+12x-72

=4(x−3)(x+6)

The factorized form of the equation 4x² + 12x - 72 is

A = 4 ( x + 6 ) ( x - 3 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A = 4x² + 12x - 72

Now , the equation can be simplified by

A = 4 ( x² + 3x - 18 )

Now , on simplifying the equation , we get

A = 4 ( x² - 3x + 6x - 18 )

Now , on grouping the similar terms in the equation , we get

A = 4 ( x ( x - 3 ) + 6 ( x - 3 ) )

A = 4 ( x + 6 ) ( x - 3 )

So , the factorized form of the equation is

A = 4 ( x + 6 ) ( x - 3 )

Hence , The factorized form of the equation 4x² + 12x - 72 is

A = 4 ( x + 6 ) ( x - 3 )

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Expressions can be split into equivalent expressions by factoring them.

The expression equivalent to [tex]\mathbf{9b + 21}[/tex] is [tex]\mathbf{3 (3b + 7)}[/tex]

The expression is given as:

[tex]\mathbf{9b + 21}[/tex]

Express each term as a product of 3 (the GCF)

[tex]\mathbf{9b + 21 = 3 \times 3b + 3 \times 7}[/tex]

Factor out 3

[tex]\mathbf{9b + 21 = 3 (3b + 7)}[/tex]

Hence, the expression equivalent to [tex]\mathbf{9b + 21}[/tex] is [tex]\mathbf{3 (3b + 7)}[/tex]

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Answer:  Commutative Property of Multiplication

Step-by-step explanation:

Commutative property is when two terms trade places.

(a · 3) × b = b × (a · 3)

Notice that (a · 3) switched places with b

Answer:

4[tex]\sqrt{37}[/tex]

Step-by-step explanation:

Since the figure is a square, find the length of 1 side and multiply by 4 for perimeter.

Calculate the length of AB using the distance formula.

AB = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A(3, 4) and (x₂, y₂ ) = B(2, - 2)

AB = [tex]\sqrt{(2-3)^2+(-2-4)^2}[/tex]

     = [tex]\sqrt{(-1)^2+(-6)^2}[/tex]

     = [tex]\sqrt{1+36}[/tex]

     = [tex]\sqrt{37}[/tex]

Hence

perimeter = 4AB = 4[tex]\sqrt{37}[/tex]

Answer:

4 root 37units

Step-by-step explanation:

gl on the exam

Answer:

14.5

Step-by-step explanation:

Employ the SOH CAH TOA rule here.

So here you do Sin 65= x/16

solve for X you get 14.5

Answer:

f= .75 or 3/4

Step-by-step explanation:

13/4 = 3 1/4 or 3.25

4-3.25= .75

Or

3/4

Answer:

f = 3/4

Step-by-step explanation:

f+(13/4)= 4

subtract (13/4) from both sides

⇒f + (13/4)- (13/4) = 4 -(13/4)        

⇒f =(16-13) /4

∴f = 3/4

To calculate the change in volume of a box when cutout length increases from 0.3 inches to 1.2 inches using function notation, use the formula ΔV=f(l2)-f(l1), where f(l) represents the volume of the box given the length of the edge.

The change in volume when the cutout length increases from 0.3 inches to 1.2 inches can be represented in function notation as ΔV=f(l2)-f(l1), where f(l) represents the volume of the box as a function of the length (l) of the edge. Here, l1=0.3 and l2=1.2.

Given the formula for the volume of the box V = Length x Width x Height. Let's assume Width and Height remain constant. If initially the volume was V1=f(l1) and finally it became V2=f(l2), the change in volume will be ΔV=V2-V1 which equals f(l2)-f(l1).

For example, if the width and height of the box are 6 inches and 3 inches respectively, then the initial volume is V1 = 0.3 x 6 x 3 cubic inches and the final volume is V2 = 1.2 x 6 x 3 cubic inches. Therefore, ΔV = (1.2 x 6 x 3) - (0.3 x 6 x 3) cubic inches.

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The change in the volume of the box when the cutout length increases from 0.3 inches to 1.2 inches can be calculated using the function ΔV = V(1.2) - V(0.3). Assuming the rest of the box's dimensions are constant, this results in a change in volume of 16.2 cubic inches.

To use function notation to represent how the volume of the box changes by if the cutout length increases from 0.3 inches to 1.2 inches, let us first define a function V(l) that represents the volume of the box as a function of the cutout length 'l'. If the initial cutout length is 0.3 inches and the final cutout is 1.2 inches, the change in length Δl would be 1.2 inches - 0.3 inches = 0.9 inches. We can express the change in volume, ΔV, as the function of the change in cutout length as follows: ΔV = V(1.2) - V(0.3).

Given that the volume of a rectangular box can be calculated by the formula volume = length × width × height, and assuming other dimensions of the box do not change, the function V(l) becomes:

V(l) = length × width × l

Let's consider an example where the dimensions of the box remain constant at 6 inches by 3 inches. The volume function would then be:

V(l) = 6 in. × 3 in. × l in.

The change in volume for an increase in cutout from 0.3 to 1.2 inches is then:

ΔV = V(1.2) - V(0.3) = (6 × 3 × 1.2) - (6 × 3 × 0.3) = 21.6 in.³ - 5.4 in.³ = 16.2 in.³.

Answer:The number should be 123456789.

Step-by-step explanation:

The total digits should be 9 i.e. 1, 2, 3, 4,5, 6,7, 8, and 9.

The largest number should be at the unit place, the 2nd largest number should be at the tenth place, and the  3rd largest number should be at the 100th place, and so on.

So in this way, the 1 number should be written at the left-most position.

Therefore we can conclude that The number should be 123456789.

97

10 times 4 is 40 40 plus 57 is 97

Answer: 97

Step-by-step explanation:

1. Take your $10 and multiply it by the four hours she babysits. --> 10•4=40

2. Take the answer you just received from the multiplication problem, 40, and add it by the amount of money she had in her account, $57.    -->40+57=97

I hope this helps you!

let's bear in mind that we have two fractions whose denominators are 2 and 4, thus their LCD will be 4, now let's multiply both side by that LCD to do away with the fractions, but let's add some first.

[tex]\bf 2-\left( 4-\cfrac{1}{2}x \right)=6\left( \cfrac{1}{4}x-1 \right)\implies 2- 4-\cfrac{x}{2} =\cfrac{6x}{4}-6 \\\\\\ -2-\cfrac{x}{2} =\cfrac{6x}{4}-6\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{4}}{4\left( -2-\cfrac{x}{2} \right)=4\left( \cfrac{6x}{4}-6 \right)}\implies -8-2x=6x-24 \\\\\\ 16-2x=6x\implies 16=8x\implies \cfrac{16}{8}=x\implies 2=x[/tex]

Answer:

9/4 lbs (= 2 1/4 lbs)

Step-by-step explanation:

given original amount of chicken is 4 1/2 lbs ( = 9/2 lbs)

for half the recipe, we need half the amount of chicken

= 9/2 lbs x 1/2

= 9/4 lbs (= 2 1/4 lbs)

Answer:

n = 5

Step-by-step explanation:

5 * (n/5) = 5 / (n/5)

(5 * n) /5  = 5 * (5/n)          

n   = ( 5*5) / n

n = 25/n

n² = 25

n = 5

The offered overtime hourly rate is 1.5 times the given hourly rate.

The amount Colin Katz earns per hour = $10.75

The number of additional hours Colin Katz is asked to work = 2 hours

Rate at which the additional hours will be paid = Hourly rate and half = 1.5 hourly rate

The amount he will earn for the additional hours.

The hourly rate for the additional hours = 1.5 × $10.75 = $16.125

Amount Colin Katz earns working 2 additional hours = 2 × $16.125 = $32.25

The amount he will earn for the two hours overtime = $32.25

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Answer: 4/12 is 0.3333333333333333 so it would be repeating decimal

Step-by-step explanation: divide 4 by 12 and get 0.333

Answer:

21

Step-by-step explanation:

x-4=17

x=17+4

x=21

that's the solution

Answer:

a relation in which for every input there is exactly one output (for every x there is just one y)

Step-by-step explanation:

since you didn't give what was supposed to be a mapping function or not thats the best i can do

Answer:

4)

Step-by-step explanation:

Because they just added the same equality. And when you move the -7 over the equal sign it makes it positive so it would be p^2 + 5 + 7 = 8p and that makes it p^2 + 12 = 8p

The property used by the kate to write the function p^2 + 5 = 8p - 7 as p^2 + 12 = 8p is the addition property of equality.

Given to us

When solving p^2 + 5 = 8p - 7.

Kate wrote p^2 + 12 = 8p.

As we can see Kate has simply added the number one, therefore, she had used the addition property of equality.

[tex]p^2 + 5 = 8p - 7\\\\p^2+5+7=8p\\\\p^2 + 12=8p[/tex]

Hence, the property used by the kate to write the function p^2 + 5 = 8p - 7 as p^2 + 12 = 8p is the addition property of equality.

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Answer:

D.a relation only

Step-by-step explanation:

Relation: It is mapping between two non empty set A and B.

In relation any input value can have two or more than two output values.

Function: It is that relation in which every input value has only one output .

All function are relations but all relations are not function.

In given data

Image of 3 =4

Image of 3=3

By definition of function

It is not a function.

By definition of relation

It is a relation.

Hence, option D is true.

Answer: D

RELATION ONLY//PLATO//EDMENTUM

Answer:

2.25

Step-by-step explanation:

You have to subtract 2.13 from 4.38

Example: 4.38-2.13

Answer:

The subtraction property of equality

Step-by-step explanation:

it just is

The justification for the step taken from line 2 to line 3 is the subtraction property of equality

Equations are expressions that have equal values when compared using the "=" sign

The equation on line 2 is given as:

[tex]-4x + 9 = 2x + 10[/tex]

The equation on line 3 is given as:

[tex]-6x + 9 = 10[/tex]

2x is subtracted from both sides of the equation in step 2 to get the equation in step 3

Hence, the justification for the step taken from line 2 to line 3 is the subtraction property of equality

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Answer:

(1) a+-+8+=+5%2A%28b+-+8%29

(1) a+-+8+=+5b+-+40

(1) 5b+-+a+=+32

and

(2) a+-+5+=+3%2A%28b+-+5%29

(2) a+-+5+=+3b+-+15

(2) 3b+-+a+=+10

Subtract (2) from (1)

(3) 2b+=+22

(3) b+=+11

Substitute this back in (1) or (2)

(1) 5%2A11+-+a+=+32

(1) a+=+55+-+32

(1) a+=+23

Carole is 23 and Carl is 11

Step-by-step explanation:

Answer: -1/2

as in negative one over two

Step-by-step explanation:

Answer:

1/24

Step-by-step explanation:

First, multiply the two fractions together.

3/8 * 1/9

Multiply the numerators:

3*1=3

And the denominators:

8*9=72

So, the fraction ends up being 3/72.

I need simplify the fraction by dividing both the numerator and the denominator by 3:

3/3=1

72/3=24

Simplified fraction is 1/24.

Answer: [tex]\frac{1}{24}[/tex]

Step-by-step explanation: To multiply fractions, first multiply across the numerators and then multiply across the denominators.

[tex](\frac{3}{8}) (\frac{1}{9}) = \frac{3}{72}[/tex]

[tex]\frac{3}{72} = \frac{1}{24}[/tex]

Answer:

x = 13.

So the 3 angles are a =  44, b = 47 and c = 89 degrees.

Step-by-step explanation:

If these are the angles  are the 3 angles of a triangle they sum to 180 degrees, so:

3x + 5 + 5x - 18 + 7x - 2 = 180

15x - 15 = 180

15x = 195

x = 195/15

x = 13.

To find the values of angles a, b, and c given by the expressions 3x + 5, 5x - 18, and 7x - 2, we set up and solve equations involving these expressions. Once we find the value of x, we substitute it back into the expressions to find the angles.

The question asks about angles given by the expressions a= 3x + 5, b= 5x - 18, and c= 7x - 2. In order to find the values of x and the corresponding values of angles a, b, and c, we need to set up and solve equations involving these expressions.

We can equate these expressions to given angles or to each other, and solve for x. Once we find the value of x, we can substitute it back into the expressions to find the angles.

For example, to find angle a, we substitute the value of x into the expression 3x + 5. Similarly, we substitute the value of x into the expressions 5x - 18 and 7x - 2 to find angles b and c, respectively.

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Answer:

[tex]-0.45[/tex]

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors. you'll get your answer as [tex]-\frac{9}{20}=-0.45[/tex]

Answer:

4. Tell your interviewer what you do know.

If you do have some knowledge of the question, then take the time to tell your interviewer what you do know of the situation. Saying everything out loud can start you on the process of figuring out the problem.

Step-by-step explanation:

Answer:

[tex] u = -\dfrac{vx}{w} [/tex]

Step-by-step explanation:

You are allowed to multiply and divide both sides of an equation by the same non-zero number or non-zero variable. Do the appropriate operations to isolate the u.

[tex] x = -\dfrac{1}{v}uw [/tex]

We are solving for u, so first, switch sides.

[tex] -\dfrac{1}{v}uw = x [/tex]

Multiply both sides by v.

[tex] -\dfrac{1}{v}uw \times v = x \times v [/tex]

[tex] -uw = x \times v [/tex]

Divide both sides by -w.

[tex] \dfrac{-uw}{-w} = \dfrac{xv}{-w} [/tex]

[tex] u = -\dfrac{vx}{w} [/tex]

Answer:

Step-by-step explanation:

You first rearrangel all of numbers from least to greatest, then you cross out the smallest and bigest number untill you meet in the middle. If you there two numbers in the middle then you find the average of those numbers.