8-(-4f-3)≤ -f-8+2f
solve for f

Five minutes into the descent the airplane has an altitude of 500 feet.

Given that an airplane at 3,000 feet begins to descend at a rate of

500 feet per minute, it is required to write an equation to model the situation and find the altitude of the airplane after 5 minutes.

First, we can model the situation through a linear equation of the form

y = mx + b.

Then, we must identify each variable:

y = A = Altitude

m = decrease per minute = 500

x = t = minute-time

b = Airplane height = 3,000

Now, we set up the equation, substituting y, m, x, and b into the linear equation, as the situation models the descent of the airplane the slope must be negative; thus:

A(t) = 3,000 − 500t

Lastly, we must find the altitude when if t = 5:

A(5) = 3,000 − 500(5)

Solving, we obtain:

A(5)=3,000 − 2,500 = 500

Hence the answer is, Five minutes into the descent the airplane has an altitude of 500 feet.

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she would have four seeds left because 6 seeds times six pots would equal 36 seeds so subtract 36 from forty to get four

Step-by-step explanation:

Answer:4

Step-by-step explanation:6x6=36+4=40

Answer:

3√10 units

Step-by-step explanation:

[tex] \sqrt{250} = \sqrt{25 \times 10} = \sqrt{25} \sqrt{10} = 5 \sqrt{10} [/tex]

[tex]3x + 2x = 5 \sqrt{10} [/tex]

[tex]5x = 5 \sqrt{10} [/tex]

[tex]x = \sqrt{10} [/tex]

So the length of the longer piece is 3√10 units.

The minimum measurement is 12.85 and the maximum measurement is 12.94 that would be equal to 12.9.

What is rounding of decimal numbers?

Look at the next digit in the correct position to determine how to round a number; if it is less than 5, round down, and if it is 5 or more, round up. The term "rounding decimals" describes the accurate rounding of decimal figures. To the nearest whole, tenth, or hundredth, we can round decimals.

Given, An ostrich egg has a width of 12.9 cm to the nearest tenth of a centimeter.

We have to find the minimum and maximum possible measurements.

If you're rounding to the nearest tenth of a centimeter, 12.85 centimeters is the smallest measurement that would equal 12.9 centimeters.

And 12.94 centimeters is the maximum measurement that would be equal to 12.9.

Therefore, the minimum measurement is 12.85 and the maximum measurement is 12.94.

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Answer:

Step-by-step explanation:

[tex]x[/tex] x 25/100=30

25/100[tex]x[/tex]=30

25[tex]x[/tex]=3000

[tex]x[/tex]=300/25

[tex]x[/tex]=120

Answer:

Step-by-step explanation:

A = 75000(1 + (0.06 × 10)) = 120000

A = $120,000.00

B = 24000(1 + (0.07 × 0.75)) = 25260

B = $25,260.00

B=9 months

Answer:

a=5

a=2x-5

Step-by-step explanation:

hope it helps

have a nice day!

or night

Answer:

Y= x+1

Step-by-step explanation:

m=2-1/ 1-0; m=1

Y-2= 1(x-1)

Y= x-1+2

Y= x+1

Answer:

0.9*0.8=0.72

Step-by-step explanation:

there are 9 squares across the top and 8 square downward so the only equation similar to this is the first equation.

Answer: 0.9 x 0.8 = 0.72

Step-by-step explanation:

dark gray is 9 x 8, divide both numbers by 10, you get 0.9 x 0.8 = 0.72

The range of the given relation is (-6, -3, 0, 3, 6).

Range:

Basically the set contains 2 elements in it, in which set contains all the second elements, on the other hand, is known as the range of the relation.

Given,

Here we have the relation (-5,6), (-3,3), (-1,0), (1,-3) and (3,-6)

Here we need to find the range of the relation.

According to the definition of the relation,

Range refers the y values of the coordinates,

So, based on this the value of the given coordinates are extracted as,

(-5, 6) => 6

(-3, 3) => 3

(-1, 0) => 0

(1, -3) => -3

(3, -6) => -6

Now we have arrange the range values from the smallest to largest,

Therefore, the range of the relation is (-6, -3, 0, 3, 6).

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Translation 1 unit up is the transformation which accomplish the graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given,

Figure C is the result of a transformation on Figure B

We need to find which transformation is used for this.

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

and  A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection reflects a graph horizontally across the y-axis

Horizontally translating a graph is equivalent to shifting the base graph left or right in the direction of the x-axis.

The graph is just shifted slightly to right.

Figure B undergoes a translation of translation 1 unit up.

Hence translation 1 unit up is the transformation which accomplish the graph.

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Answer: 2x3-1

Step-by-step explanation:

Answer: x=30 degrees

Step-by-step explanation:

A triangle has 180 degrees, so:

90+x+20+x+10=180

90+2x+30=180

2x+30=90

2x=60

x=30

The total amount that Chau spent on video game and DVD rentals in the past month is $31.70.

Given that Chau rented 5 video games and 4 DVDs and the rental price for each video game was $3.30 while the rental price for each DVD was $3.80.

The Total amount that was spent will be:

= Amount spent on video games + Amount on DVD

= (5 × $3.30) + (4 × $3.80)

= $16.50 + $15.20

= $31.70

The amount is $31.70.

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By first subtraction b and then dividing by m, the solution of the linear equation for x is:

(y - b)/m = x

Here we have a linear equation that defines the variable y in terms of the variable x:

y = m*x + b

Where m and b are real numbers.

Now we want to find x in terms of the variable y, this means that we need to isolate the variable x.

if first we subtract b in both sides, we get:

y - b = m*x + b - b

y - b = m*x

If now we divide both sides by m, we get:

(y - b)/m = m*x/m

(y - b)/m = x

This is the linear equation solved for x.

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Answer:If you’re using imagine math it will be the the third one

Step-by-step explanation:

Answer: B^5

Step-by-step explanation: truss

The width of the enlarged photo is 12 inches

The length of the original photo = 10 inches

The width of the original photo = 8 inches

The length of the enlarged photo = 15 inches

The width of the enlarged photo = x

Then the proportion of the length and width of the original and enlarged photo will be

10 / 8 = 15 / x

Cross multiply the terms

10x = 15 × 8

Multiply the terms in the equation
10x = 120

Divide both side of the equation by 10

10x / 10 = 120 / 10

x = 120 / 10

Divide the terms

x = 12 inches

Hence, the width of the enlarged photo is 12 inches

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Using front end estimation, the solutions to the given problems are;

1) 25.72

2) 137.521

3) 17.1

Front-end estimation is defined as a particular way of rounding numbers to estimate sums and differences.

The procedure for using front- end estimation, is to add or subtract only the numbers in the greatest place value. Thereafter, we add the decimals rounded to the nearest tenth.

1) 32.47 - 6.75

First of all, let's deal with the whole numbers part;

32 - 6 = 26

Next is to deal with the decimal part to get;

0.47 is approximately 0.5 while 0.75 is approximately 0.8. Thus;

0.5 - 0.8 = - 0.3

Thus, we have;

26 + (-0.3) = 25.70

Therefore, our given solution can be written as; 25.72

2) 118.234 + 19.287

First of all, let's deal with the whole numbers part;

118 + 19 = 137

Next is to deal with the decimal part to get;

0.234 is approximately 0.2 while 0.287 is approximately 0.3. Thus;

0.2 + 0.3 =0.5

Thus, we have;

137 + 0.5 = 137.5

Therefore, our given solution can be written as; 137.521

C)  17.9 - 0.8

First of all, let's deal with the whole numbers part;

17 - 0 = 17

Next is to deal with the decimal part to get;

0.9 - 0.8 = 0.1

Thus, we have;

17 + 0.1 = 17.1

Therefore, our given solution can be written as; 17.1

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Using simple mathematical operations, we know that the lift will carry 1,120 more children than adults in a day.

A mathematical function known as an operation converts zero or more input values into a precisely defined output value.

The quantity of operands affects the operation's arity.

parentheses, exponents, multiplication, division, and PEMDAS.

So, to calculate how many more children the lift carries in a day:

The number of adults the lift can carry is 24.

The number of children the lift can carry is 40.

The lift carries people at full capacity 70 times.

Now, calculate as follows:

24 × 70 = 1,680

40 × 70 = 2,800

Difference:

2,800 - 1,680 = 1,120

Therefore, using simple mathematical operations, we know that the lift will carry 1,120 more children than adults in a day.

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Answer:

Step-by-step explanation:

Step-by-step explanation:

the highest exponent is 2, so, we expect to get 2 factors in x (as the multiplication of x×x = x²).

3 is a prime number, and the only factors to get 3 are 3 and 1

3 = 3×1

so, we expect to get factors that look like

(3x + a)(x + b)

when we do the multiplication, we get

3x² + 3bx + ax + ab = 3x² +(3b + a)x + ab

now we compare this to our original expression

3x² +(3b + a)x + ab = 3x² - 13x + 12

3b + a = -13

ab = 12

so, we know a and b must both be negative

(-×- = +, - - - = -).

the negative factors of 12 are

-12 × -1

-6 × -2

-4 × -3

which one of these pairs can make

3b + a = -13

be true ?

3×-12 + -1 = -37 no

3×-1 + -12 = -15 no

3×-6 + -2 = -20 no

3×-2 + -6 = -12 no

3×-4 + -3 = -15 no

3×-3 + -4 = -13 yes

so, our factors are

(3x - 4)(x - 3)

Answer:

-5/3 or -1.67

Step-by-step explanation:

Answer:

-5/3

Step-by-step explanation:

Oh it's you again, I am just gonna copy paste my format from your previous question.

Use the slope formula: s=(y2-y1)/(x2-x1)

It doesn't matter the order.

Let's say -6 is x2 and 8 is y2; 3 is x1 and -7 is y1

Plug in the equation: s=[(8)-(-7)]/[(-6)-(3)]

Simplify and solve: s=[8+7]/[-9]

                               s = -15/9

                               s = -5/3

The value of n is calculated as -14 which was found using the slope formula and given data.

When coordinates are provided, the following formulae can be used to determine a line's slope:

Step 1: Determine the line's coordinates.

Step 2: Enter their values into the equation slope(m) = (y₂-y₁)/(x₂-x₁).

Given: There is a line that contains the points (-9, n) (-10, 5).

We need to find the value of n.

We know that,

slope(m) = (y₂-y₁)/(x₂-x₁)

           -9   = (5-n)/(-10+9)

           -9(-10+9) = 5-n

           90-81 = 5-n

           9+5 = -n

              n = -14

Therefore, the value of n is -14 which was found using the slope formula and given data.

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Answer:x=10

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

Multiply the numbers

2⋅3x=[12(4x+20)]⋅22⋅3=[12(4+20)]⋅2

6x=[12(4x+20)]⋅26=[12(4+20)]⋅2

Combine multiplied terms into a single fraction

6x=[12(4x+20)]⋅26=[12(4+20)]⋅2

6x=[1(4x+20)2]⋅26=⎣⎡1(4+20)2⎦⎤⋅2

Multiply by 1

6x=[1(4x+20)2]⋅26=⎣⎡1(4+20)2⎦⎤⋅2

6x=[4x+20/2]⋅26=[4+20/2]⋅2

Re-order terms so constants are on the left

6x=4x+20/2⋅26=4+20/2⋅2

6x=2⋅4x+20/2

Cancel multiplied terms that are in the denominator

6x=2⋅4x+20/2

6x=4x+20

Subtract 4x from both sides

6x=4x+20

6−4=4+20−4

Simplify

6x-4x=4x+20-4x

2x=4x+20-4x

Combine like terms

2x=20

Divide both sides by the same factor

2x=20

2x/2=20/2

cancel 2 on both sides

20 divided by 2 is 10

so therefore,

x=10

To calculate the p-value, we have to follow the following steps:

To calculate the p-value, we need

p = sample proportion

p' = assumed population proportion in the null hypothesis

n = sample size

Example

Given, n =40, σ = 32.17 and X = 105.37. calculate p-value.

σₓ = σ/ √n

σₓ = 32.17 / √40

    = 5.0865

Now, by applying the test static formula, we get

t = (105.37 – 120) / 5.0865

t = -2.8762

Using the table, we find the value of P(t>-2.8762)

From the table, we get

P (t<-2.8762) = P(t>2.8762) = 0.003

If P(t>-2.8762) = 1- 0.003 = 0.997

P- value = 0.997 > 0.05

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The cost is the cost per pound times the number of pounds minus the coupon.

If [tex]p[/tex] pounds are purchased, she will pay [tex]3.50p-3.25[/tex].

If 3 pounds are purchased, she will pay 3.50(3)-3.25=7.25.

The parallel line has an equation of y = 2x + 3

The equation is given as

2y = 4x + 14

Make y the subject

2y = 4x + 14

Divide through by 2

y = 2x + 7

The equation of a line can be represented as

y = mx + c

Where

slope = m

By comparing the equations, we have:

m = 2

This means that the slope of 2y = 4x + 14 is 2

The slopes of parallel lines are equal

This means that the slope of the other line is 2

i.e. m = 2

Recall that:

The equation of a line can be represented as

y = mx + c

Where

slope = m

So, we have

y = 2x + c

Assume any value for c

This gives

y = 2x + 3

Hence, the equation of the parallel line is y = 2x + 3

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