Can you pls help me pls?

Answer:

Step-by-step explanation:

C.  878 and D.  1 are the only whole numbers.  The rest are either mixed numbers or fractions.

Answer:

The answer is 72

Step-by-step explanation:

In order to resolve the expression, we have to know the factorial function.

The factorial function (with a symbol: !) says to multiply all whole numbers from our chosen number down to 1.

For example:

5!=5*4*3*2*1=120

When the exercise has a fraction with factorial functions, we usually try to simplify it, that is, we have to expand the factorial value until to get the same factorial value in the denominator or numerator:

5!/3!=[tex]\frac{5*4*3!}{3!} =5*4=20[/tex]

In this case:

9!/(9-2)!=9!/7!=[tex]\frac{9*8*7!}{7!} =9*8=72[/tex]

The final value is 72.

The value of the factorial 9!/(9-2)! is 72

To find the value of 9!/(9-2)!, we first need to evaluate the factorial expressions.

9! means the factorial of 9, which is calculated by multiplying all positive integers from 1 to 9:

9! = 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

Similarly, (9-2)! means the factorial of (9-2), which simplifies to 7!:

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1

Now, let's substitute the factorial expressions back into the original equation:

9!/(9-2)! = (9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)/(7 x 6 x 5 x 4 x 3 x 2 x 1)

Now we can simplify the expression:

9!/(9-2)! = (9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)/(7 x 6 x 5 x 4 x 3 x 2 x 1)

= 9 x 8

= 72

Therefore, the value of 9!/(9-2)! is 72.

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Answer:

The correct answer is 15.

[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=12\\ h=45 \end{cases}\implies V=\cfrac{\pi (12)^2(45)}{3}\implies V=2160\pi[/tex]

Answer:

-¼x + y = -2

Step-by-step explanation:

First, convert to Slope-Intercept Form by moving "1" to the other side of the equivalence symbol to get y = ¼x - 2, then finally convert to Standard Form by moving "-¼x" to the other side of the equivalence symbol to end up with -¼x + y = -2. Do you understand?

Answer:

Option A. 54.008 cubic feet

Step-by-step explanation:

we know that

The volume of the barrel is equal to

[tex]V=\pi r^{2}h[/tex] ----> volume of the cylinder

we have

[tex]r=4/2=2\ ft[/tex] ----> the radius is half the diameter

[tex]h=4.3\ ft[/tex] ---> is the depth

[tex]\pi =3.14[/tex]

substitute

[tex]V=(3.14)(2)^{2}(4.3)[/tex]

[tex]V=54.008\ ft^{3}[/tex]

Answer:

A (7^6)

Step-by-step explanation:

Step 1: Find the property of 7^13/7^7

b^m/b^n=b^m-n

Therefore, when the numerator and denominator are the same number, the powers can be subtracted to simplify the answer.

Step 2: Apply the property to the question

7^13/7^7 = 7^13-7

=7^6

Hence, option A is the correct answer.

!!

Answer:

The equivalent expression is [tex]7^{6}[/tex] ⇒ answer A

Step-by-step explanation:

* Lets revise some rules of the exponents

- In the exponential functions we have some rules

# In multiplication if we have same base then add the power

  b^m  ×  b^n  =  b^(m + n)  

- Ex: [tex]5^{11}*5^{4}=5^{11+4}=5^{15}[/tex]

# In division if we have same base we subtract the power

  b^m  ÷  b^n =  b^(m – n)

- Ex: [tex]\frac{3^{10}}{3^{4}}=3^{10-4}=3^{6}[/tex]

* Now lets solve the problem

- There is the expression [tex]\frac{7^{13}}{7^{7}}[/tex]

- We have base 7 up and down

∵ In division if we have same base we subtract the power

∵ The base up is 7 and the base down is 7

- We will subtract the powers

∴ [tex]\frac{7^{13}}{7^{7}}=7^{13-7}=7^{6}[/tex]

∴ The answer is [tex]7^{6}[/tex]

* The equivalent expression is [tex]7^{6}[/tex]

Answer:

x=-16

Step-by-step explanation:

The given equation is:

x = 8a

which was written to find the value of x.

We have to find the value of x when the value of a is inserted as -2

So, putting the value

x = 8(-2)

x= -16

So the value of x when a = -2 is -16 ..

Answer:

x= -16

Step-by-step explanation:

The rewritten equation for x from part A is x = 8a.

Substitute -2 for a in the equation and solve:

x = 8(-2)

x = -16

Easy ₛₕᵢₜ Yo

Answer:

Step-by-step explanation:

Subtracting a number means the same as adding the opposite number.

(-)(-) = (+)

6 - (-4) - (-3)

opposite number to -4 is 4

opposite number to -3 is 3

6 - (-4) - (-3) = 6 + 4 + 3 = 13

Answer:

the correct answer is 13.

Step-by-step explanation:

Answer:

∠2 and ∠3 are complementary

Step-by-step explanation:

Complementary angles add up to 90°. Angles 1 and 3 are complementary, so the formula is ∠1 + ∠3 = 90°. Given that Angle 1 equals to angle 2, we substitute angle 2 for angle one in the equation stated before. Now we have ∠2 + ∠3 = 90°, so angles 2 and 3 are complementary

For this case we have the following expression:

[tex](-4x) ^ 2 = 100[/tex]

To look for the solution:

 We apply root to both sides of the equation to eliminate the exponent:

[tex]-4x = \pm \sqrt {100}\\-4x = \pm10[/tex]

Then we have two solutions:

[tex]-4x = 10[/tex]

Dividing between -4 on both sides of the equation:

[tex]x = \frac {10} {- 4}\\x = - \frac {5} {2}[/tex]

The second solution:

[tex]-4x = -10[/tex]

Dividing between -4 on both sides of the equation:

[tex]x = \frac {-10} {- 4}\\x = \frac {5} {2}[/tex]

Answer:

[tex]x_ {1} = - \frac {5} {2}\\x_ {2} = \frac {5} {2}[/tex]

Answer:

A=3.43 ft^2

Step-by-step explanation:

A=lw

A=4(6/7)

A=3.43 ft^2

To find the area of a rectangular garden 4 feet by 6/7 feet, multiply the length by the width to get 24/7 square feet.

The area of a rectangular garden measuring 4 feet by 6/7 feet can be calculated as follows:

Therefore, the area of the rectangular garden is 24/7 square feet.

Answer:

percentages

Step-by-step explanation:

Sales tax is an everyday example of where percentages are used.

Sales tax is an everyday example of where percentage math is used.

Given that,
To determine the suitable system that fit the given incomplete statment.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Sale tax is a type of taxation, which is applied to the sale and business of goods and services up to some percentage of the actual revenue generated by the goods and services in the form of some percent of the price of the actual cost of goods and services.

Thus, Sales tax is an everyday example of where percentage math is used.

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Answer:

The length of side BC is 20.5 in

Step-by-step explanation:

we know that

In the right triangle ABC

The function cosine of angle of 35 degrees is equal to divide the adjacent side to angle of 35 degrees by the hypotenuse of the right triangle

so

cos(35°)=a/25

Solve for a

Multiply by 25 both sides

a=(25)*cos(35°)=20.5 in

therefore

The length of side BC is 20.5 in

The answer is:

The length of BC is equal to 20.5 inches.

Since we are working with a right triangle and we already know some of its dimensions, we can calculate the length of PC using the following equation:

[tex]Cos\alpha =\frac{a}{Hypotenuse}[/tex]

Where,

a is equal to BC

hypotenuse is equal to 25 inches.

alpha is equal to 35°

So, we will have the following equation and we can isolate "a" from it, so substituting we have:

[tex]Cos(35\°)=\frac{a}{25in}[/tex]

[tex]a=25in*Cos(35\°)=20.47inches[/tex]

Hence, the length of BC is equal to 20.5 inches (rounded to the nearest tenth)

Have a nice day!

Answer:

21.66

20.545

20.479

20.15

20.1

Hello There!

From Least To Greatest, The Numbers Would Be

20.1, 20.15, 20.479, 20.545, 21.66

Answer:

See below in BOLD.

Step-by-step explanation:

What you need to do is identify the corresponding sides in the polygon than divide the larger length by the smaller.

3.  The side length 8 corresponds to the 4 in the other polygon.

So the scale factor  is 8/4 = 2.

4. Scale Factor = 24/20 = 1.2.

5. 40/32  = 5x / 24

5x = 40*24 / 32

5x = 30

x = 6.

6. 25/30 = 4x + 7 / 42

5/6 = 4x + 7 / 42

6(4x + 7) = 210

24x = 210 - 42 = 168

x = 168/24

x = 7.

7. 40/24 = 3x + 5 / 21

5/3 = (3x + 5) / 21

9x + 15 = 105

9x = 90

x = 10.

8.   24 / 40 = (x + 3) / 15

3/5 = (x + 3) / 15

5x + 15 = 45

5x = 30

x = 6.

Answer:

Circles A  and D are congruent because they both have a radius of 3

Step-by-step explanation:

Answer:

Circle A and circle D are congruent ⇒ 3rd answer

Step-by-step explanation:

* Lets talk about the circle

- Any circle has diameter

- Any circle has radius which is half the diameter in length

- All the circles are similar because the measure of all circles is 360°

 and there is the ratio between the radii

- The two circles are congruent if they have the same radii because

  the congruence is special case of similarity when the ratio equal 1

* Lets look to the figure to solve the problem

- There are four circles in the figure

# Circle A with radius 3"

# Circle B with radius 4"

# Circle C with radius 5"

# Circle D with radius 3"

∵ The radius of circle A = 3"

∵ The radius of circle D = 3"

∴ The radii of circle A and circle D are congruent

∴ Circle A and circle D are congruent

Answer:

(f-g)(x)  = 2x - x^(-7)

Step-by-step explanation:

We know that

f(x) = 2x^+1 = 2x

g(x)=x^-7 = x^(-7)

Then, we just need to subtract both functions

(f-g)(x) = f(x) - g(x) =  2x - x^(-7)

(f-g)(x)  = 2x - x^(-7)

Please, see attached images for more information

Answer:The answer is 189 units 3

Step-by-step explanation:

It is a 3x7x9 prism so you multiply the numbers

Answer:

36

Step-by-step explanation:

Answer: 6, 8, 10

Step-by-step explanation:

We can write the three numbers as: x, x+2, and x+4

(x+2)(x+4) = 10x + 20

x² + 6x + 8 = 10x + 20

x² - 4x - 12 = 0

(x-6)(x+2) = 0

x = -2,6

We will focus on x = 6 and ignore -2

To check our answer: (6+2)(6+4) = 10(6) + 20?

                                     8*10 = 60 + 20?

                              Yes, 80 = 80

[tex](g\cdot f)(x)=\dfrac{1}{x}-4[/tex]

[tex]D_{g(f(x))}:x\not =0[/tex]

No, since 0 doesn't belong to the domain.

Answer:

Angle GBH:

Angle ECD: 34

Angle HGB: 20

Angle FGH:

Step-by-step explanation:

Find all of the angles, some are needed to find others. Use the given angles...

FEC is 124, so the other side of it, CED must be 180-124 which is 56

Now we know CED is 56 and CDE is 90, and a triangles angles add up to 180, therefore angle ECD is 180-56+90, which is 34

Now we can find HCE, 180-90+34, which is 56

Angle CBG is 70 because 180-110 is 70

You can find angle HGB by looking at angle BCG which is 90 and angle CBG which is 70 and subtracting them from 180. 180-90+70=20

Answer:

[tex]\large\boxed{(3-2i)(3+2i)=13}[/tex]

Step-by-step explanation:

[tex](3-2i)(3+2i)\qquad\text{use}\ (a-b)(a+b)=a^2-b^2\\\\=3^2-(2i)^2=9-4i^2\qquad i=\sqrt{-1}\to i^2=-1\\\\=9-4(-1)=9+4=13[/tex]

Answer:

±[tex]12[/tex]

Step-by-step explanation:

We need to find [tex]\sqrt{144}[/tex].

Now, we know that  [tex](12)^{2} = 144[/tex] and [tex](-12)^{2} = 144[/tex]

Therefore: [tex]\sqrt{144}=[/tex]±[tex]12[/tex]

Summarizing, the real square roots of 144 are ±[tex]12[/tex]

[tex]\sqrt{144}=\pm12[/tex]

The answer is:

The correct option is:

C. 18 inches.

To calculate the volume of a cylinder we need to use the formula:

[tex]Volume=\pi *radius^{2}*height[/tex]

We are given a cylinder that has a volume of 288 π cubic inches and we know that its radius is equal to 4 inches, so, to calculate the height of the cylinder, we need to isolate it from the equation of volume, so, isolating we have:

[tex]Volume=\pi radius^{2} height[/tex]

[tex]\frac{Volume}{\pi radius^{2} }=height[/tex]

Now, substituting the given information, we have:

[tex]height=\frac{288\pi in^{3}}{\pi (4in)^{2} }=\frac{288\pi in^{3}}{16\pi in^{2} }=18in[/tex]

Hence, we have that the correct answer is:

C. 18 inches.

Have a nice day!

Answer:

The correct answer is option c 18 inches

Step-by-step explanation:

Points to remember

Volume of cylinder =  πr²h

Where r - Radius of cylinder and

h - Height of cylinder

To find the height of cylinder

Here volume = 288π cubic inches and radius = 4 inches

Volume = πr²h

288π = π* 4² * h

288 = 16h

h = 288/16 = 18 inches

Therefore height of cylinder = 18 inches

The correct answer is option c 18 inches

[tex]C=ad\\\\a=\dfrac{C}{d}[/tex]

Final answer:

The given relation is not a function because there are multiple output values for one input value.

Explanation:

The given relation, xy1−21−3213−2, is not a function. In order for a relation to be a function, each input value (x) must have only one corresponding output value (y).

Let's examine the relation:

x = 1, y = 2

x = 2, y = -3

x = 3, y = 2

As you can see, for x = 1, there are two different corresponding values of y (2 and -3). Therefore, the given relation is not a function.

Answer:

The area of the triangle is [tex]A=4\ units^{2}[/tex]

Step-by-step explanation:

Let

A(0, −2),B​ (0, −3) and ​ C(8, -3)

Plot the vertices

see the attached figure

Triangle ABC is a righ triangle

The area of the triangle ABC is equal to

[tex]A=\frac{1}{2}(BC)(AB)[/tex]

[tex]BC=8-0=8\ units[/tex]

[tex]AB=-2-(-3)=1\ units[/tex]

substitute

[tex]A=\frac{1}{2}(8)(1)[/tex]

[tex]A=4\ units^{2}[/tex]

Final answer:

To find the unit rate of a 16oz soda bottle that costs $3.49, divide the price by the ounces, resulting in $0.218125 per ounce, which rounds to $0.22 per ounce.

Explanation:

The question is about calculating the unit rate of a 16oz bottle of soda that costs $3.49. To find the unit rate, we divide the total cost by the number of ounces. Thus, the unit rate is $3.49 ÷ 16 oz, which equals approximately $0.218125 per ounce. Rounding to the nearest tenth of a cent, the unit rate is $0.22 per ounce.