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Answer:

10.5 yards after 15 years

Step-by-step explanation:

2.1 feet times 15 years, which equals to 31.5 feet, convert 31.5 feet into yards, so divide it by 0.3, and that equals to approximately 10.5 yards

Answer:

the percent error was 73%

Answer:

Rule for rotation 180° about the origin:

Given coordinates:

Coordinates of the image, apply the rule above:

Answer:

The discount is 5.82

Step-by-step explanation:

To find the amount of the discount

48.50 * 12%

Change to decimal form

48.50 * .12

5.82

The discount is 5.82

Inequalities are used to show the relationship between unequal expressions.

See attachment for the graph of [tex]4x - 5\ge 3[/tex] or [tex]5 - x > 8[/tex]

Given that:

[tex]4x - 5\ge 3[/tex] or [tex]5 - x > 8[/tex]

First, we solve for x.

[tex]4x - 5\ge 3[/tex]

Collect like terms

[tex]4x \ge 3+5[/tex]

[tex]4x \ge 8[/tex]

Divide by 4

[tex]x \ge 2[/tex]

[tex]5 - x > 8[/tex]

Collect like terms

[tex]-x > 8 - 5[/tex]

[tex]-x > 3[/tex]

Divide by -1

[tex]x < -3[/tex]

So, we have:

[tex]4x - 5\ge 3[/tex] or [tex]5 - x > 8[/tex] becomes

[tex]x \ge 2[/tex] or [tex]x < -3[/tex]

The graphs are not given. So, I've added as an attachment, the graphs of [tex]x \ge 2[/tex] or [tex]x < -3[/tex]

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Answer:

= 2.8

Step-by-step explanation:

8.3 - 5.5 = 2.8

= 2.8

Answer:

One solution.

Step-by-step explanation:

3(x + 9) = 2x + 54

3x + 27 = 2x + 54

3x + 27 - 2x = 2x + 54 - 2x

x + 27 = 54

x + 27 - 27 = 54 - 27

x = 27

Digit wise values.

[tex]\\ \sf\longmapsto 9=90000000[/tex]

[tex]\\ \sf\longmapsto 1=1000000[/tex]

[tex]\\ \sf\longmapsto 7=700000[/tex]

[tex]\\ \sf\longmapsto 6=60000[/tex]

[tex]\\ \sf\longmapsto 4=4000[/tex]

[tex]\\ \sf\longmapsto 3=300[/tex]

[tex]\\ \sf\longmapsto 5=50[/tex]

[tex]\\ \sf\longmapsto 0=0[/tex]

Answer:

689

Step-by-step explanation:

just subtract.

Answer:

Length 18 yds, Width 9 yds

Step-by-step explanation:

2x + 2x + x + x = 54

Combine like terms

6x = 54

Divide both sides by 6

x = 9

Plug 9 into equation above

2(9) + 2(9) + 9 + 9 =

18 + 18 + 18 = 54

Answer:

nope I have no idea heheheheheheheh

9514 1404 393

Answer:

  -6x^3 +5x^2 -x -2

Step-by-step explanation:

The synthetic division is shown in the attachment.

The length of a ribbon that will cover the edge of the circular drum is 76.98 in

The given parameter:

To find:

The length of a ribbon that will cover the edge of the circular drum is equal to the circumference of the circular drum.

The circumference of the circular drum = 2πr

The circumference of the circular drum = 2 x 3.142 x 12.25

The circumference of the circular drum = 76.98 in

Thus, the length of a ribbon that will cover the edge of the circular drum is 76.98 in

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Answer:

5 words a second because 5÷25 is 5 so in 1 second she reads 5 words

Answer:

The 1st one for the first pic and I'm not sure but c for the 2nd one

Answer:

a and c

Step-by-step explanation:

The difference between the numbers 1.4 and 1.7 is -0.3 after using the number line.

It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.

It is given that:

As we can see in the number line:

1.4 < 1.7

If we take the difference between these two numbers

From the number line:

= 1.4 - 1.7

= -0.3

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

After using the arithmetic operation concept:

The difference between the numbers:

= 1.4 - 1.7

= -0.3

Thus, the difference between the numbers 1.4 and 1.7 is -0.3 after using the number line.

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Answer:

the width would be 20 inches

Step-by-step explanation:

32 = 8 × x

32 ÷ 8 = 4

so now multiply 5 by 4 which equals 20 inches

1 square meter is equivalent to 0.0001 square centimeter

72.576 cubic inches. in cubic feet is 0.042 cubic feet

Conversion in math is a way of changing the value of an expression using units.

1) In order to change 1 square meter to square centimeters, we will use the conversion

1m = 0.01cm

Taking the square of both sides

(1m)² = (0.01cm)²

1m² = 0.01cm * 0.01cm

1m² = 0.0001cm²

This shows that 1 square meter is equivalent to 0.0001 square centimeter

2) We are to convert 72.576 cubic inches to cubic feet. Using the conversion factor:

1 cubic inch = 0.000578704 cubic feet

72.576 cubic inches = x

Cross multiply

x = 72.576 * 0.000578704

x = 0.042 cubic feet

This shows that 72.576 cubic inches. in cubic feet is 0.042 cubic feet

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Answer:

x2 + 8

Step-by-step explanation:

The value of the composite function (f - g)(x) is x² + 8.

The correct option is D.

Any function that is created by combining two or more other functions is referred to as a composite function. To put it another way, given two functions, f, and g, the composite function of f and g, denoted as f(g(x)), is a new function that applies g to the input x before applying f to the output of g (x).

Given:

f(x) = 2x² + 1 and g(x) = x² - 7.

To find (f – g)(x), we need to subtract g(x) from f(x):

(f - g)(x) = f(x) - g(x)

where f(x) = 2x² + 1 and g(x) = x² - 7.

Substituting these expressions into the equation, we get:

(f - g)(x) = (2x² + 1) - (x² - 7)

Simplifying the expression on the right-hand side by distributing the negative sign, we get:

(f - g)(x) = 2x² + 1 - x² - 7)

Combining like terms, we get:

(f - g)(x) = x² + 8.

Therefore, (f - g)(x) = x² + 8.

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[tex]S_n=\frac{a_1+a_n}{2}\cdot n\\\\a_1=10, \ d=8, \ n=11\\\\a_{11}=a_1+10d=10+10\cdot8=10+80=90\\\\S_{11}=\frac{10+90}{2}\cdot11=\frac{100}{2}\cdot11=50\cdot11=\boxed{550}\\\\\text{Answer}:\text{C})[/tex]

The value of the arithmetic series is 550. The correct answer is C) 550.

To evaluate the arithmetic series, we can use the formula:

Sn = (n/2)(2a1 + (n-1)d)

Given:

a1 = 10 (first term)

d = 8 (common difference)

n = 11 (number of terms)

Plugging the values into the formula:

Sn = (11/2)(2(10) + (11-1)(8))

= (11/2)(20 + 10(8))

= (11/2)(20 + 80)

= (11/2)(100)

= 550

Therefore, the value of the arithmetic series is 550.

The correct answer is C) 550.

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Answer:

3.25

Step-by-step explanation:

Perimeter of triangle = 3(5) = 15 cm

Perimeter of rectangle = 2(2x - 3 + 4)

Perimeter = 2(2x + 1)

Perimeter = 4x + 2

4x + 2 = 15

4x = 15 - 2

4x = 13

x = 13/4

x = 3.25

Answer:

6 groups

2 girls, 3 boys

Step-by-step explanation:

To find the answer, first find the Greatest Common Factor or the GCF. The GCF in this case is 6. So, the amount of groups is 6. Then divide each number by 6, so there will be 2 girls in each group and 3 boys in each group.

Answer:

the radius will need to be 150/2(pi) feet or roughly 23.87 feet

Step-by-step explanation:

equation for circumference is C = 2(pi)r

divide C (which is 150) by 2(pi)

150/2(pi) roughly equals 23.87.

Answer:

20x30xH=7000

11.6666 , depends on how much you need to round it. if 2 sig figs, round it to 12.

Answer:

Pyramid Height = 3 * Pyramid Volume / Base Area

Height = 3 * 7,000 / (30 * 20)

Height = 21,000 / 600

Height = 35 meters

Step-by-step explanation:

The length of the ladder needed to reach a window with 50 feet above the ground is 52 ft.

The angle formed with the ground and the ladder is 75 degrees.

The window is 50 ft above the ground.

The situation forms a right triangle.

Therefore, using trigonometric,

sin 75  = opposite / hypotenuse

where

Therefore,

sin 75 = 50 / h

cross multiply

h = 50 / sin 75

h = 50 / 0.96592582628

h = 51.763809036

h = 52 ft

Therefore, the length of the ladder needed to reach a window with 50 feet above the ground is 52 ft.

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Answer:

3a + 2b + 4c = D

D = Amount Spent

Step-by-step explanation: