PLS SIMPLIFY b3·b^−5·b^11
A) b^9
B) b^15
C) b^19
D) b^-165

Answer:

10 cm is the answer because 30÷3 angles

Answer:

r ≈ 12 cm

Step-by-step explanation:

arc length = circumference × fraction of circle, that is

2πr ×[tex]\frac{60}{360}[/tex] = 12.57 ( multiply both sides by 360 to clear the fraction )

2πr × 60 = 4525.2

120πr = 4525.2 ( divide both sides by 120π )

r = [tex]\frac{4525.2}{120\pi }[/tex] ≈ 12 cm

Answer:

Step-by-step explanation:

Given,

Cost price of 25 kg of vegetables ( CP ) = 25 × 20

= Rs 500

Loss amount = Rs 50

Selling price ( SP ) = ?

Loss percent = ?

Now, let's find the loss percent :

[tex] \mathsf{ \frac{loss}{cost \: price} \times 100\%}[/tex]

[tex] \mathsf{ = \frac{50}{500} \times 100\%}[/tex]

[tex] \mathsf{ = 10\%}[/tex]

Loss % = 10 %

Now, let's find the selling price:

[tex] \mathsf{ \frac{CP(100 - l\%)}{100} }[/tex]

[tex] \mathsf{ = \frac{500(100 - 10)}{100}} [/tex]

[tex] \mathsf{ = \frac{500 \times 90}{100} }[/tex]

[tex] \mathsf{ = \frac{45000}{100} }[/tex]

[tex] \mathsf{= 450}[/tex]

Hope I helped!

Best regards!

Answer:

10

Step-by-step explanation:

This is a combinations problem, involving factorials.

5!/3!*2!=5*4/2=20/2=10

The different sum of the 4 coins from the list of 5 coins is an illustration of combination or selection. There are 5 different possible sums.

Given

[tex]n = 5[/tex] --- number of coins

[tex]r = 4[/tex] --- coins to be selected to calculate sum

For the sum of the coin value to be calculated, the 4 coins must be selected. This means combination.

So, we make use of:

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

This gives

[tex]^5C_4 = \frac{5!}{(5 - 4)!4!}[/tex]

[tex]^5C_4 = \frac{5!}{1!4!}[/tex]

Expand

[tex]^5C_4 = \frac{5*4!}{1*4!}[/tex]

[tex]^5C_4 = \frac{5}{1}[/tex]

[tex]^5C_4 = 5[/tex]

Hence, there are 5 different possible sums.

Read more about combinations at:

https://brainly.com/question/15401733

Answer:

The regular bottle holds 9 fl oz less

Step-by-step explanation:

Given

Family Size =  12 fl oz

Required

Determine the size held less by the regular bottle

From the question, we have that the regular bottle holds 75% less;

[tex]Regular\ Size = 75\% * Family\ Size[/tex]

Substitute 12 fl oz for Family Size

[tex]Regular\ Size =75\% * 12\ fl\ oz[/tex]

Convert percentage to fraction

[tex]Regular\ Size = \frac{75}{100} * 12\ fl \oz[/tex]

[tex]Regular\ Size = \frac{75 * 12\ fl\ oz}{100}[/tex]

[tex]Regular\ Size = \frac{900\ fl\ oz}{100}[/tex]

[tex]Regular\ Size = 9\ fl\ oz[/tex]

Hence, the regular bottle holds 9 fl oz less

Answer:

[tex]\huge\boxed{Probability = \frac{1}{3} }[/tex]

Step-by-step explanation:

Total Magazines = 3

Woman's Day = 1

Probability = No. of Favorable Outcomes  / Total no. of Outcomes

Probability = [tex]\frac{1}{3}[/tex]

Answer: [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

There are three choices for Mrs. Stanton.  One of the three choices is the Women's Day magazine.  Thus, 1 out of 3, or 1/3 of the choices are Women's Day.

Hope it helps <3

Answer:

2987.

Step-by-step explanation:

25(23) + 67(36) = 575 + 2412 = 2987.

Hi there! Hopefully this helps!

------------------------------------------------------------------------------------------------------------

Answer: 2987

First we need to rewrite the equation. Since x = 23 and y = 36 the equation should look like this for easier steps:

25(23) + 67(36) = ?

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Now since there numbers by other numbers in parentheses, we need to multiply them.

25 x 23 = 575.

67 x 36 = 2412.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Now that the equation is in its final form, we write it like this for the answer:

575 + 2412 =

Answer: 400

Explanation: To round 372 to the nearest hundred, we first find the digit in the rounding place which in this case is the 3 in the hundreds place.

To decide whether to round up or down, we look

at the digit to the right of the 3, which is 7.

According to the rules of rounding, if the digit to the right of the

rounding place is greater than or equal to 5, we round up.

So in this problem, since 7 is greater than or equal to 5, we round up.

This means that we add 1 to the 3 in the rounding place

to get 4 and all digits to the right of 4 become 0.

So 372 rounded to the nearest hundred is 400.

Answer:

156.6 square yards

Step-by-step explanation:

To find the surface area of the pyramid, find the area of each surface and add them together.

formula for area of a triangle = 1/2(b·h)

1. There are three triangles with a base of 9 and a height of 9

1/2(9·9) = 40.5

Multiply by the three triangles

40.5 · 3 = 121.5

2. There is one triangle with a base of 9 and a height of 7.8

1/2(9·7.8) = 35.1

3. Add the areas of all surfaces

121.5 + 35.1 = 156.6

Hi there! :)

Answer:

[tex]\huge\boxed{A = 119.44 cm^{2} }[/tex]

To find the area of the shaded region, we will need to find the areas of both the rectangle and the circle:

Rectangle: A = l × w

A = 11 × 12

A = 132 cm²

Circle: A = πr²  (Let π = 3.14)

A = π(2)²

A = 4π

A ≈12.56 cm²

Subtract the area of the circle from the area of the rectangle:

132 - 12.56 = 119.44 cm².

Answer:

No.

Step-by-step explanation:

No, Bob is not correct.

The formula he's using is the following:

[tex]A=\frac{1}{2} ab\sin(C)[/tex]

The important thing here is that the angle is between the two sides.

In the given triangle, 120 is not between 8 and 18. Therefore, using this formula will not be valid.

Either Bob needs to find the other side first or find the angle between 8 and 18.

Responder:

5,52

Explicación paso a paso:

Dado lo siguiente:

Precio por kilo de papa = 1.2

Kg de papa comprada = 2.2kg

Precio por kilo de arroz = 3.7 por kilo

Kg de arroz comprado = 3.2 kg

Valor del boleto emitido para el pago = 20

Precio total de la papa:

Precio * kg comprado

1.2 * 2.2 = 2.64

Precio total del arroz:

Precio * kg comprado

3.7 * 3.2 = 11.84

Cantidad total gastada = (precio total del arroz + precio total de la papa)

2.64 + 11. 84 = 14.48

Cambio pendiente = 20 - 14.48 = 5.52

Answer:

2

Step-by-step explanation:

Let Ishan’s age equal an unknown quantity we’ll call “x”.

An age 4 times Ishan’s would be 4 times x, written “4x”.

An age 6 years older than Ishan’s would be written “x+6”.

Now, through the magic of algebra, we can write an equation: 4x = x+6 . This means that “four times Ishan’s age is equal to his age plus six.”

The magic continues: you can subtract an”x” from each side of the equation. You can subtract any quantity from either side, but subtracting”x” will leave 6 on the right and “3x” on the left: 3x = 6.

Divide both sides by the same quantity: 3.

This will give you x =2. This indicates Ishan’s age is 2.

Answer:

Ishaan is 2 years old.

Step-by-step explanation:

We can create a systems of equations for this, assuming b is Ben's age and i is Ishaan's age.

[tex]b = 4i[/tex]

[tex]b = i+6[/tex]

Let's solve via substitution.

[tex]4i = i+6[/tex]

Subtract i from both sides:

[tex]3i = 6[/tex]

Divide both sides by 3:

[tex]i = 2[/tex]

So Ishaan is 2 years old. Ben is:

[tex]4(2) = 8[/tex] years old.

Hope this helped!

Answer:

113 meters

Step-by-step explanation:

113.47 rounded to the nearest meter is 113.

The distance of frisbee to the nearest meter will be equal to 113 meters.

An integer containing one or more "0"s at the end in a specific base is said to be round. In this way, 590 is more rounded than 592 but less rounded than 600.

A round number is frequently understood to stand for a value or values close to the nominal value expressed in both formal and informal language.

The distance to the nearest meter will be given as below:-

113.47 meters. = 113 meters.

Therefore, the distance of the frisbee to the nearest meter will be equal to 113 meters.                                                                                                        

To know more about round off follow

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Answer: Hi!

First, we will use inverse operations to remove the 7. Subtract 7 on both sides:

7 - 7 = 0

4 - 7 = -3

Our equation now looks like this:

-11b = -3

Now we will use inverse operations to isolate the b. Divide -11 on both sides:

-11b ÷ -11 = b

-3 ÷ -11 = 3/11

Our equation now looks like this:

3/11 = b

3/11 is equal to b. This is your answer!

Hope this helps!

Answer:

12,157,665,459,057,000,000

Step-by-step explanation:

It seems like it would have to involve exponents.  3 to the 40th power would be 12,157,665,459,057,000,000.  

Answer:

1. Surveys are used to obtain specific information from a group of people. It is administered by politicians, professionals, sociologists, and other groups to obtain data from their subjects of interest.

2. Experiments are used to establish cause-and-effect relationships. Scientists use them for highly-controlled tests to give/withdraw credence to some hypotheses.

Step-by-step explanation:

Surveys, when applied to human subjects, are used to obtain data from a selected sample of subjects. Surveys, which can be applied through mails, telephones, the internet, in-person, and through other means are aimed at getting the opinions, thoughts, and beliefs of the participants. It is administered by politicians, professionals, sociologists, and other groups to obtain data from their subjects of interest. This data can be qualitative or quantitative.

Experiments are administered to provide support or refute a given hypothesis. They establish cause and effect relationships. Scientists use them for highly-controlled tests to give/deny credence to some hypotheses. Positive controls establish the hypothesis as true. They could be conducted in the laboratory, in the field, or through observations.

Answer:

B. The second choice.

Step-by-step explanation:

A function cannot have two points with the same x-coordinate.

If you graph two different points that have the same x-coordinate, they will both lie on the same vertical line. Therefore, if in a relation, more than one point lie on the same vertical line, then the relation is not a function.

Answer:

In a 2001 game, during which he came to bat 3 times, Ichiro could expect to get at least 1 hit. That is, E(X) >1

Step-by-step explanation:

Answer: 0.457

Step-by-step explanation:

===========================================

Explanation:

Refer to the diagram below.

In order for triangle TOP to be isosceles, the missing side x must be either 5 or 7. This way we have exactly two sides that are the same length.

--------

If TP = 5, then the value of y could be either 5 or 11 to ensure that triangle TIP has exactly two sides the same length.

If TP = 7, then y = 7 or y = 11 for similar reasons.

--------

Therefore, the possible lengths for segment TO are 5, 7, and 11.

Answer:

7, 11

Step-by-step explanation:

its right- trust me-

Answer:

B

Step-by-step explanation:

So we have a table of values of a used car over time. At year 0, the car is worth $20,000. By the end of year 8, the car is only worth $3400.

We can see that this is exponential decay since each subsequent year the car depreciates by a different value.

To find the rate of change the car depreciates, we simply need to find the value of the exponential decay. To do this (and for the most accurate results) we can use the last term (8, 3400).

First, we already determined that the original value (year 0 value) of the car is 20,000. Therefore, we can say:

[tex]f(t)=20000(r)^t[/tex]

Where t is the time in years and r is the rate (what we're trying to figure out).

Now, to solve for r, use to point (8, 3400). Plug in 8 for t and 3400 for f(t):

[tex]3400=20000(r)^8\\3400/20000=17/100=r^8\\r=\sqrt[8]{17/100}\approx0.8[/tex]

In other words, the rate of change modeled by the function is 0.8.

As expected, this is exponential decay. The 0.8 tells us that the car depreciates by 20% per year.

Answer:

  A)  40%

Step-by-step explanation:

25% of yards have 6-8 trees; 10% of yards have 8-10 trees; 5% of yards have more than 10 trees. So, a total of 25% +10% +5% = 40% of yards have 6 trees or more. If a yard is randomly chosen, the probability it will have 6 or more trees is 40%.

Answer:

1/10=1/10

Step-by-step explanation:

(-3/5*2/3)-(-3/5*5/6)=-3/5*(2/3-5/6)

(-2/5)-(-1/2)=-3/5*(4-5/6)

-2/5+1/2=-3/5*(-1/6)=

-4+5/10=1/10

1/10=1/10

Answer:

Weight of apples = 1.72 kg

Step-by-step explanation:

Given:

Total mass of sale = 8.6 kg

Pears weight = 4/5 of total weight

Find:

Weight of apples

Computation:

Weight of apples = [1 - 4/5]Total mass of sale

Weight of apples = [1/5]8.6

Weight of apples = 1.72 kg

Answer:

A. 260

Step-by-step explanation:

Answer:

square root 260

Step-by-step explanation:

On mine it is D. but the answer is the square root of 260

Answer:

75 cm

Step-by-step explanation:

∅=90° , r = 21 cm

Arc length= (2πr∅)/360

=(2π×21×90)/360

=33 cm

Perimeter= arc length + 2(radius)

=33+2(21)

=33 + 42

= 75 cm

Answer:

A.

Step-by-step explanation:

All of those graphs represent functions. You are able to tell because they all pass the vertical line test. The vertical line test is conducted by drawing a line that goes vertically and intercepts any point of the line in question. If the function crosses the vertical line twice, it is not a function. If it only intercepts once, it is a function. In this case, every graph is a function because they would intercept a vertical line once.  

Answer:

To make only 12% profit, the discount should be increased to 16%

Step-by-step explanation:

The given information are;

The percentage discount on goods = 10%

The profit made from the sale of the watch = 20%

The amount the watch was sold = Rs.10,710

The percentage VAT included = 13%

Let the recommended selling price of the watch = X

Therefore, we have;

The price after 10% discount = 0.9×X

Which gives;

The amount the watch was sold = Price after 10% discount + Price after 10% discount ×VAT

The amount the watch was sold = 0.9×X + 0.9×X×13% = 0.9×X + 0.9×X×0.13

Rs.10,710 = 0.9×X + 0.9×X×0.13 = 1.017×X

X = Rs.10,170/1.017 = Rs. 10,000

The recommended selling price of the watch = Rs. 10,000

The profit was 20% of selling price which gives;

Profit = Selling price - Cost price = Rs. 9,000  - Rs. X = 0.2 × Rs. X

9000 - X = 0.2×X

9000 = X + 0.2×X  = 1.2×X

X = 9000/1.2 = Rs. 7,500

To make only 12% profit, we have;

12% of Rs. 7,500 = 0.12 × Rs.7,500 = Rs. 900

Selling price = Cost price + Profit = Rs. 7,500 + Rs. 900 = Rs. 8,400

Percentage discount from Rs.10,000 to get Rs. 8,400 is given as follows;

Percentage discount = Y%

Therefore;

Y = (10,000 - 8,400)/10000 × 100 = 0.16 × 100 = 16%

Y = 16%

Therefore, to make only 12% profit, the discount should be increased to 16%.

Answer:

628 [tex]cm^{3}[/tex]

Step-by-step explanation:

Since the formula to find the volume of a cylinder is [tex]\pi r^{2}[/tex]h, we just need to fill things in.

Since the radius is 5 and the height is 8 and we know that pi=3.14, our new equation is:

3.14*5^2*8.

5*5=25. Now we simplify.

3.14 * 25 * 8

78.5 * 8

628 [tex]cm^{3}[/tex]

Hope this helps!! <3 :)

Answer:

628.32

Step-by-step explanation: googled it lol

Answer:

option 1

Step-by-step explanation:

Here (2,0)

(2-4) square -4 is = 0

Answer:

y = (x - 4)^2 - 4

Step-by-step explanation:

Here are the points work:

(4,-4) Works:

y = (4 - 4)^2 - 4

y = 0 - 4

y = -4

(6,0) Works:

y = (6 - 4)^2 - 4

y = 4 - 4

y = 0

(2,0) Works:

y = (2 - 4)^2 - 4

y = 4 - 4

y = 0

And (0,12) Works:

y = (0 - 4)^2 - 4

y = 16 - 4

y = 12

Hope this helps, and have a good day!

(brainliest would be appreciated?)