A rectangle has a height of 5 and a width of 4x^2-2x-6 . Express the area of the entire rectangle.

Answer:120

Step-by-step explanation: i know i am a week late but ...

The value of expression ⁶P₃ will be 120. Then the correct option is D.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

The expression is given below.

⇒ ⁶P₃

Then the value of expression ⁶P₃ will be

⁶P₃ = 6! / (6 - 3)!

⁶P₃ = 6 x 5 x 4 x 3! / 3!

⁶P₃ = 6 x 5 x 4

⁶P₃ = 120

Then the correct option is D.

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Answer:

1,5/5=279,3

Step-by-step explanation:

Rosie traveled a total distance of approximately 117 kilometers by the end of the 10th day, using the formula for the sum of a geometric series and rounding to the nearest kilometer.

To find the total distance that Rosie traveled by the end of the 10th day, we use the formula for the sum of a geometric series. The first term of this series is 18 kilometers and each subsequent term is 90% of the previous term, indicating a common ratio r of 0.9.

The formula for the sum of the first n terms of a geometric series is [tex]\( S_n = \frac{a_1(1 - r^n)}{1 - r} \)[/tex], where [tex]\( a_1 \)[/tex] is the first term, r is the common ratio, and n is the number of terms.

Using this formula, the total distance [tex](\( S_{10} \))[/tex] that Rosie traveled after 10 days is:

[tex]\[ S_{10} = \frac{18(1 - 0.9^{10})}{1 - 0.9} \][/tex]

Calculating this, we get:

[tex]\[ S_{10} = \frac{18(1 - 0.3487)}{0.1} \][/tex]

[tex]\[ S_{10} = \frac{18(0.6513)}{0.1} \][/tex]

[tex]\[ S_{10} = \frac{11.7234}{0.1} \][/tex]

[tex]\[ S_{10} = 117.234 \][/tex]

To the nearest kilometer, Rosie traveled 117 kilometers by the end of the 10th day.

Step-by-step explanation:

[tex]300 = 3 \times {10}^{2} \\ 47300 = 4.73 \times {10}^{4} \\ 24 = 2.4 \times {10}^{1} \\ 14565 = 1.4565 \times {10}^{4} \\ 7001 = 7.001 \times {10}^{3} \\ 19050000 = 1.905 \times {10}^{7} \\ [/tex]

Answer:

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▕╯┈▏┈┗┻┻┛┗┻┻┻╮▏  

▕╭╮▏╮┈┈┈┈┏━━━╯▏

▕╰╯▏╯╰┳┳┳┳┳┳╯╭▏  

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Step-by-step explanation:

Answer:

There is 5 numbers (not including the sum/25)

The average is add up all the numbers and divide by amount of numbers

25/5=5

The average value is 5

Step-by-step explanation:

Answer:

225% increase

Step-by-step explanation:

Since the number went up from 24 to 78 this is an increase

To find out how much

(78- 24)/24 =2.25 * 100% =225% increase

The percent of change from 24 songs to 78 songs is a 225% increase.

To identify the percent of change from 24 songs to 78 songs, follow these steps:

Therefore, the percent of change from 24 songs to 78 songs is a 225% increase.

Answer:

we choose f(x) = π cos(πx)

Step-by-step explanation:

Given the information:

Let analyse all possible answers;

1/ f(x) = -2 sec(x)

when x= 0 we have: f(0) = -2 sec(0) = -2[tex]\frac{1}{cos(o)}[/tex] = -2 wrong

2. f(x) = 7sin(x/4 - 1/29)

when x= 0 we have: f(0) =7sin(0/4 - 1/29) = 7sin(-1/29) = -0.00421 wrong

3. (x) = π cos(πx)

when x= 0 we have: f(0) = πcos(π0) = cos(0) = π0 = 0

when x= 2 we have: f(2) = πcos(π2) = πcos(0) = π

True

4. f(x) = 2π cos(x - π/2)

when x= 0 we have: f(0) = 2π cos(0 - π/2) = 2π cos(-π/2) = 0

when x= 2 we have: f(2) =2π cos(2 - π/2) = 2π0.034 = 0.0697π Wrong

So we choose f(x) = π cos(πx)

Answer:

10

1 + 100 = 101

101 is between 10 and 11

10.04987

Step-by-step explanation:

Answer:

-2034

Step-by-step explanation:

make me brainliest please

Answer:

Each friend gets 0.45 cups of ice cream.

Step-by-step explanation:

Divide 3.6 by 8 and you get 0.45.

Answer:

9cm3

Step-by-step explanation:

6 x 4 x 3/8=9cm3

Answer:

9 cm³

Step-by-step explanation:

V = l x w x h

= 6 x 4 x 3/8

= 24 x 3/8

= 9 cm³

Answer:

3293 ft to nearest tenth = side

Step-by-step explanation:

To find altitude this is the same in trigonometry as finding the side and we use calculation below in finding the hypotenuse which is same term as side for the angle of depression just to double check that height (altitude is less than slope in calculation).

sin (32) = 0.9271838546

3600/0.9271838546 = 3882.725074

= 3883 ft to nearest tenth. = slope

Then cos (32)x3882.725074 = 3292.737608

= 3293 ft to nearest tenth = side

The plane flying with an angle of depression of 32 degrees to a small fire below has an altitude of 2250 ft.

The situation forms a right angle triangle.

A right angle triangle has one of its angles as 90 degrees. The sides can be found using trigonometric ratios.

Therefore, the horizontal distance from the kurt's plane to the fire is the adjacent side of the right triangle.

The altitude of the plane is the opposite side of the triangle.

Hence,

tan 32 = opposite / adjacent

tan 32° = h / 3600

cross multiply

h = 3600 tan 32°

h = 3600 × 0.6248693519

h = 2249.52966687

h = 2250 ft

Therefore, the approximate altitude of the plane is 2250 ft.

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Answer:

c

or

P (0.25 less-than-or-equal-to z less-than-or-equal-to 1.25)

Step-by-step explanation:

Answer:

(2, 3 )

Step-by-step explanation:

Given the 2 equations

3x - 5y = - 9 → (1)

x + 2y = 8 → (2)

Multiplying (2) by - 3 and adding to (1) will eliminate the x- term, that is

- 3x - 6y = - 24 → (3)

Add (1) and (3) term by term to eliminate x

(3x - 3x) + (- 5y - 6y) = (- 9 - 24), that is

- 11y = - 33 ( divide both sides by - 11 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting in (2)

x + 2(3) = 8

x + 6 = 8 ( subtract 6 from both sides )

x = 2

Solution is (2, 3 )

Answer:

Step-by-step explanation:

hello :

here is an solution :

Answer:

a) 1/32 = 0.0313

b) 21.2058 cm

c) 19.635 ft2

Step-by-step explanation:

We have a total of 8 different areas in the circle.

a) The yellow area are 2 parts of a total of 8, so the probability is 2/8 = 1/4

The number 4 is one area of a total of 8, so the probability is 1/8

So the probability of landing on a yellow and then a 4 is (1/4)*(1/8) = 1/32 = 0.0313

b) The blue area is 3 parts over 8, so we can solve this using rule of three:

Total circunference -> pi*d = 18pi cm

3/8 of the circunference -> x

x = (3/8) * 18pi = 21.2058 cm

c) The purple sections are 2 parts over 8, so following the same logic as letter b), we have:

Total area -> pi*r^2 = 25pi ft2

2/8 of the area -> x

x = (2/8) * 25pi = 19.635 ft2

Answer:

20%

Step-by-step explanation:

If you want to buy the car again, it means that they are satisfied. 700/3500=7/35=1/5

1/5=20%.

20% of the people were satisfied.

Answer:

5 power 2 is the answer

Step-by-step explanation:

Answer:

26% of people from city B work less than 20 hours

Answer:

26%

Step-by-step explanation:

Look at the row for city B, first column is for "less than 20"

Answer:

Rational

Step-by-step explanation:

2.2360679.  A rational number is a number that terminate or can be written as a fraction.  In this case, the number can be written as 22,360,679/10,000,000.  

The number 2.2360679 is a rational number because it can be expressed as the fraction 22360679/10000000. Rational numbers can be written as fractions with integer numerators and denominators (where the denominator is not zero) or terminates.

The number 2.2360679 is a rational number. A rational number can be expressed as a fraction, where both numerator and denominator are integers and the denominator is not zero. In this case, 2.2360679 can be written as an approximate fraction rounded to seven decimal places: 22360679/10000000.

On the other hand, an irrational number cannot be expressed as an integer fraction. It continues indefinitely without repeating, such as the number pi. Therefore, 2.2360679 is not an irrational number as it doesn't meet this criterion.

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Final answer:

To find two consecutive odd integers where the sum of the smaller integer and twice the larger is 43, we use the equation n + 2(n + 2) = 43, which simplifies to n = 13, identifying the smaller integer as 13.

Explanation:

The student is asking for an equation to solve for two consecutive odd integers such that when the smaller is added to twice the larger, their sum is equal to 43. Let's define the smaller integer as n, and since they are consecutive odd integers, the next integer would be n + 2. The equation that represents this situation is:

n + 2(n + 2) = 43

This equation can be simplified:

n + 2n + 4 = 43

Combining like terms, we get:

3n + 4 = 43

To solve for n, subtract 4 from both sides:

3n = 39

Then, divide by 3:

n = 13

Therefore, the smaller integer is 13.

Answer: StartFraction n Over 4 EndFraction minus 9 + 3

n/4-9 +3

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given.

The quotient of a number means the result of the division of 2 numbers.

In this case the numbers are: a number (n) and 4 . n/4

Nine less than that quotient means we have to subtract 9 to the quotient.

n/4-9

Increase by three: we simply have to add 3

n/4-9 +3

Feel free to ask for more if needed or if you did not understand something.

Answer:

n/4-9 +3

Step-by-step explanation:

2020-2021 edge

the answer is 24in its easy

Answer:

p = 3y

Step-by-step explanation:

Compare like terms in both expressions, that is

- 7p = - 21y ( divide both sides by - 7 )

p = 3y

and as a check

p² = (3y)² = 9y²

The value of p is in terms of y as p = 3y

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Given that if 9y²-21y + 8 is written as p²-7p + 8

⇒ 9y²- 21y + 8 = p²-7p + 8

Comparing similar terms in the two expressions, that is

⇒ - 7p = - 21y

Divide both sides by - 7

⇒ p = 3y

And p² = (3y)²

⇒ p² = (3y)²

⇒ p² = 9y²

⇒ p = 3y

Hence, the value of p is in terms of y as p = 3y

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Answer: 12

               ^

Answer is |

Answer:

8

Step-by-step explanation:

The side opposite the right angle is called the hypotenuse (13), which is always the longer side.

Both of the smaller sides (5 and the third side) add up to the hypotenuse, in this case they both add up to 13.

You would have to take 5 away from 13 to find the answer.

13 - 5 = 8

Answer:

x

y

−

2

2

−

1

0.5

0

0

1

0.5

2

2

Step-by-step explanation:

Answer:

If the value of x increases by 1, the value of y will double.

Step-by-step explanation:

i just took the thingy

Answer:

<40/41,9/41>

Step-by-step explanation:

According to Algebra Lab, "To find a unit vector with the same direction as a given vector, we divide by the magnitude of the vector."

Magnitude of <40, 9> is 41

Divide that by the vector is

<40/41,9/41>

Answer:

x = 2 and x = -2

Step-by-step explanation:

The quadratic formula of a quadratic of the form ax² + bx + c is:

x = [tex]\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex] or x = [tex]\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]

Here, our equation is: 3x² - 18 = -6. Let's move all the terms to one side:

3x² - 12 = 0

a = 3 and c = -12. Notice that since there's no x term, b = 0.

Plug these into the quadratic formula:

x = [tex]\frac{0+\sqrt{0^2-4*3*(-12)} }{2*3}=\frac{\sqrt{144} }{6}=12/6=2[/tex]  

or

x = [tex]\frac{0-\sqrt{0^2-4*3*(-12)} }{2*3}=\frac{-\sqrt{144} }{6}=-12/6=-2[/tex]

So, x = 2 and x = -2.

Answer: x = -2, x = 2

Step-by-step explanation:

The quadratic formula:

[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a} \\\\AND\\\\x = \frac{-b-\sqrt{b^2-4ac} }{2a} \\[/tex]

You can find the variables a, b, and c in the standard form of a quadratic equation:

[tex]f(x)=ax^2 + bx+c[/tex]

Your equation:

[tex]f(x)=3x^2 + 0x -12[/tex]

The variables are:

a = 3

b = 0

c = -12

Substitute those for the variables in the quadratic formula:

[tex]x=\frac{-0+\sqrt{0-(4*3*-12)}}{2(3)} \\\\AND\\\\x=\frac{-0-\sqrt{0-(4*3*-12)}}{2(3)} \\[/tex]

You can simplify this to get:

[tex]x=\frac{-\sqrt{144}}{6} \\[/tex]

(or positive square root of 144.)

The square root of 144 is 12, and 12/6 = 2.

The x-values are -2 and 2.

Answer:

Medium 12-inch pizza with 7.85 inches of crust per slice.

Step-by-step explanation:

You need to find out how many slices of pizza would be in each pizza.

In a 12 in. pizza you have 8 slices and in a 24 in. pizza you have 12 pieces.

You are looking for more crust not more pizza. So the first one just says 12 pieces it doesn't mention anything about crust so that's off the list. The second one says a medium 12-inch pizza with 7.85 inches of crust PER SLICE.

Then you'd multiply 8 slices by 7.85 which gives you 62.8.

Round 62.8 to the nearest whole... (63 in.)

Remember you are looking for crust!!! Not pizza!

I hope I've helped!!!!! Please leave a thanks and vote!

To compare the amount of crust per slice between the large 24-inch pizza and the medium 12-inch pizza, we need to calculate the circumference of each pizza and then determine the length of crust per slice.

For the large 24-inch pizza:

- Radius, [tex]\( r_{24} = \frac{24}{2} = 12 \)[/tex] inches

- Circumference, [tex]\( C_{24} = 2 \pi r_{24} = 2 \pi \times 12 \)[/tex] inches

- Crust per slice, [tex]\( \frac{C_{24}}{12} \)[/tex] inches

For the medium 12-inch pizza:

- Radius, [tex]\( r_{12} = \frac{12}{2} = 6 \)[/tex] inches

- Circumference, [tex]\( C_{12} = 2 \pi r_{12} = 2 \pi \times 6 \)[/tex] inches

- Crust per slice, [tex]\( \frac{C_{12}}{8} \)[/tex] inches (since the pizza is cut into 8 slices)

Now, let's calculate inches of crust per slice for both pizzas:

- For the large 24-inch pizza: [tex]\( \frac{C_{24}}{12}[/tex] = [tex]\frac{2 \pi \times 12}{12}[/tex] = [tex]2 \pi \)[/tex] inches of crust per slice.

- For the medium 12-inch pizza:  [tex]\( \frac{C_{12}}{8} = \frac{2 \pi \times 6}{8} = \frac{\pi}{2} \)[/tex]  inches of crust per slice.

Comparing the values, [tex]\( 2 \pi > \frac{\pi}{2} \)[/tex]. Therefore, if she wants a slice with more crust, she should choose the large 24-inch pizza.