Monica had some cookies. She gave seven to her sister. Then, she divided the remainder into two halves, and she still had five cookies left.

Answer:

26ft

Step-by-step explanation:

Area of trapezium:

A = ( a + b ) /2 × h

So we know these variables

216  = ( 10 + b) / 2  x  12

216/ 12 = (10 + b) /2

18 x 2 = 10 + b

36 = 10 + b

26 = b

unknown = 26ft

I hope this helped!

Step-by-step explanation:

Step 1:  Match the questions

1.  Dividing the same base → \(\frac{x^7}{x^3}\) is an example of this and to divide exponents (or powers) with the same base, subtract the exponents.  Therefore we match this with option E

2.  Negative exponent with a fraction base → \((3)^{-3}\) is an example of this and in other words, the negative exponent rule tells us that a number with a negative exponent should be put to the denominator, and vice versa.  Therefore we match this with option H

3.  Product to a Power → \((2x)^3\) is an example of this and what we do is basically distribute out the exponent to everything inside of the parenthesis.  Therefore we match this with option B

4.  Power of 0 → \((15)^0\) is an example of this and what we do is basically say that the exponent of a number shows how many times the number is multiplied by itself. The zero property of exponents is applied when the exponent of any base is 0.  Therefore we match this with option C

5.  Negative exponent → \((\frac{3}{10})^{-4}\) is an example of this and a negative exponent is defined as the multiplicative inverse of the base, raised to the power which is opposite to the given power. In simple words, we write the reciprocal of the number and then solve it like positive exponents.  Therefore we match this with option G

6.  Power to a Power → \((x^2)^2\) is an example of this and what we do is multiply the powers by each other by doing \((x^{2*2})\) which would give us \(x^4\).  Therefore we match this with option A

7.  Multiplying the same base → \(x^5*x^3\) is an example of this and according to the exponent rule for multiplication with the same base, we simply add the powers.  Therefore we match this with option D

8.  Quotient to a Power → \((\frac{a}{b})^x\) is an example of this and when you raise a quotient to a power you raise both the numerator and the denominator to the power.  Therefore we match this with option F

If the nominal interest rate is 10 percent and the inflation rate is 4 percent, then the real interest rate is option (b) 6%

The nominal interest rate is the rate at which money grows in nominal terms, which means without considering inflation. In this case, the nominal interest rate is 10 percent.

However, inflation reduces the value of money over time. If the inflation rate is 4 percent, then the same amount of money can buy 4 percent less goods and services after one year. Therefore, to understand how much the money is really growing, we need to take into account the inflation rate and calculate the real interest rate.

The real interest rate tells us how much the money is growing after adjusting for inflation. To calculate the real interest rate, we subtract the inflation rate from the nominal interest rate.

So, if the nominal interest rate is 10 percent and the inflation rate is 4 percent, the real interest rate would be:

Real interest rate = Nominal interest rate - Inflation rate = 10% - 4% = 6%

Therefore, the correct option is (b) 6%

Learn more about nominal interest rate here

brainly.com/question/13402674

#SPJ4

Answer:

D. x ≈ 3.3, y = 15.7

Step-by-step explanation:

x = Opposite

y = Adjacent

16 = Hypotenuse

θ = 12°

To find x, we solve using the Trigonometric function of Sine

sin θ = Opposite/ Hypotenuse

x = Opposite

sin 12 = x/16

Cross Multiply

x = sin 12 × 16

x = 3.3265870531

Approximately, x ≈ 3.3

To find y, we solve using the Trigonometric function of cosine

cos θ = Adjacent/ Hypotenuse

y = Adjacent

cos 12 = y/16

Cross Multiply

y = cos 12 × 16

y = 15.650361612

Approximately, y ≈ 15.7

Therefore, x ≈ 3.3, y = 15.7

Option D is correct

Answer:

salut

Step-by-step explanation:

salut

Answer:

6x²-x-15

degree: second

leading coefficient : 6 , -1

constant : -15

Step-by-step explanation:

(2x + 3) (3x – 5)=

6x²+9x-10x-15=

6x²-x-15

degree: second

leading coefficient : 6 , -1

constant : -15

Answer:

\(P=24\: m\)

\(A=41.52 \m^{2}\)

Step-by-step explanation:

El perímetro de un hexágono se calcula de la siguiente manera:

\(P=6*l\)

l es el lado del hexágono l = 4 m

Entonces P es:

\(P=6*4=24\: m\)

El área del hexágono puede calcularse de la siguiente manera:

\(A=\frac{P*Ap}{2}\)

P es el perímetro = 24 m

Ap es la apotema = 3.46 m

El Area sera:

\(A=\frac{24*3.46}{2}\)

\(A=41.52 \m^{2}\)

Espero te haya sido de ayuda!

With 95.45% confidence, we should expect the actual return of the stock in any particular year to be between approximately -18.36% and 40.36%.

To determine the range of values within which we should expect the actual return of the stock with 95.45% confidence, we can use the concept of the confidence interval. In this case, since the stock's continuously compounded annual return is assumed to follow a normal distribution, we can use the formula:

Confidence Interval = mean ± (z * standard deviation)

Here, the mean is 11% and the standard deviation is 15%. To find the value of z corresponding to a 95.45% confidence level, we need to look up the z-score associated with that confidence level. The z-score can be found using a standard normal distribution table or a calculator.

The z-score associated with a 95.45% confidence level is approximately 1.96. Plugging in the values into the formula, we get:

Confidence Interval = 11% ± (1.96 * 15%)

Calculating the confidence interval:

Lower Limit = 11% - (1.96 * 15%)

Upper Limit = 11% + (1.96 * 15%)

Lower Limit ≈ -18.36%

Upper Limit ≈ 40.36%

Therefore, with 95.45% confidence, we should expect the actual return of the stock in any particular year to be between approximately -18.36% and 40.36%.

Learn more about Confidence Level here

https://brainly.com/question/9386257

#SPJ4

The nucleotide bases that are present in equal amounts in DNA are adenine (A) and thymine (T).

DNA is composed of four different nucleotide bases: adenine (A), thymine (T), cytosine (C), and guanine (G). These bases pair up with each other to form the double-stranded DNA molecule. Adenine always pairs with thymine, and cytosine always pairs with guanine. This pairing is known as complementary base pairing.

In DNA, the amount of adenine is always equal to the amount of thymine. This is due to the complementary base pairing rule, where A and T always pair together with two hydrogen bonds. Similarly, cytosine and guanine are present in equal amounts and pair together with three hydrogen bonds.

You can learn more about nucleotide bases at

https://brainly.com/question/14067588

#SPJ11

Answer:

20

Step-by-step explanation:

Answer: $3

Step-by-step explanation:

3 dollars because if he wants to buy 3 plants that cost 5 dollars each, that would be $15. But he has a coupon for 20% off, so 20% into a decimal is 0.20. So 15x.20 =3

SOLUTION:

Case: Quadratic Application Word Problem

Given:

Required:

a. How long did it take for Jason to reach his maximum height?

b. What was the highest point that Jason reached?

c. What is Jason’s initial height?

Method:

Step 1: How long did it take for Jason to reach his maximum height?

To calculate this, we find the vertex

From here, the vertex is at (1/2, 484).

Hence it takes 1/2 a second to reach the maximum height

Step 2: What was the highest point that Jason reached?

Also, from the vertex, we get the highest height reached

The maximum height reached was 484 feet

Step 3: What is Jason’s initial height?

The initial height is gotten at the start of the motion, i.e. h(0) = ?

Hence the initial height was 480 feet

Final answer:

A) Time = 1/2 second

B) Maximum Height, H= 484 feet

C) Initial Height, H= 480 feet

The series converges conditionally per the Alternating Series Test and the Comparison Test with ∑n=1 ∞ \(n^(2)/1.\). Therefore, option E is correct.

The series is

∑n=1 ∞\((−1)n+1 * n^(5)+1/n^(3).\)

We need to find out if it converges absolutely, converges conditionally, or diverges.

In order to determine the convergence of the given series, we need to use the Alternating Series Test since it is an alternating series.

Alternating Series Test

According to the Alternating Series Test, if a series is alternating, that is, if it is of the form a1 − a2 + a3 − a4 + ...,

where each an is positive and the terms alternate in sign, and if {an} is a decreasing sequence that converges to 0, then the series converges.

Here, an=n5+1/n3.

We can prove that this is a decreasing sequence using the Ratio Test or the nth-Term Test.

Using the nth-Term Test, we get

lim n → ∞ |an+1/an|

= lim n → ∞ \((n + 1)^(5) n^(5) * n^(3) (n + 1)^(3)\)

= lim n → ∞ (1 + 1/n)^(5)

= 1.

Hence, by the nth-Term Test, the given series converges.

Now, to determine if it converges absolutely or conditionally, we need to evaluate the series

∑ n=1 ∞\(n^(2)/1.\)

Since this is a p-series with p = 2 > 1, it diverges.

Hence, the given series converges conditionally.

Therefore, option E is correct.

Know more about the series converges

https://brainly.com/question/15415793

#SPJ11

The volume under the given surface over the rectangle R is 36 cubic units.

The given function is:

z = 3x^2 + 6y^2

Which represents a surface in 3D space. To find the volume under the surface over the given rectangle R = [-1, 1] x [-3, 3], we need to compute the double integral of the function over the given region as follows:

∬R z dA = ∬R (3x^2 + 6y^2) dA

Here, dA represents the area element over the region R, which can be written as dx dy because the region is rectangular, and we are integrating over it in the x-y plane. Therefore, we have:

∬R (3x^2 + 6y^2) dA

= ∫[-1,1] ∫[-3,3] (3x^2 + 6y^2) dy dx

= ∫[-1,1] [3x^2y + 3y^3] |[-3,3] dx

= ∫[-1,1] (54x^2) dx

= 54 ∫[-1,1] x^2 dx

= 54 [x^3/3] |[-1,1]

= 54 [(1/3) - (-1/3)]

= 54 (2/3)

= 36 cubic units

Therefore, the volume under the given surface over the rectangle R is 36 cubic units.

To know more about double integral,visit;

brainly.com/question/27360126

#SPJ11

Please find attached photograph for your answer

Answer:

Let's simplify step-by-step.

−3(x−4)+3(y−6)

Distribute:

=(−3)(x)+(−3)

(−4)+(3)(y)+(3)(−6)=−3x+12+3y+−18

Combine Like Terms:

=−3x+12+3y+−18=(−3x)+(3y)+( 12+18)=−3x+3y+−6

Answer:

=−3x+3y−6

Can I have a brainliest

Step-by-step explanation:

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

For more questions on Investment.

https://brainly.com/question/29227456

#SPJ8

Answer:

X = 5

Y = 7

Step-by-step explanation:

First we will find x

4x + 2 = 3x + 7

x + 2 = + 7

x = 5

Next we will find y

2y + 9 = 4y - 5

-2y + 9 = -5

-2y = -14

y = 7

The calculated surface area of the cone is 2831.71 square inches

From the question, we have the following parameters that can be used in our computation:

The surface area of a cone is calculated using the following formula

SA = πr² + πrl

Substitute the known values in the above equation, so, we have the following representation

SA = 22/7 * 17² +22/7 * 17*  36

Evaluate

SA = 2831.71

Hence, the surface area of the cone is about 2831.71 square inches

Read more about surface area at

brainly.com/question/26403859

#SPJ1

Question

What is the surface area of the cone? use 22/7 for pi if it has 9 inches radius and 36 inches slant height

Answer:

hello,

Step-by-step explanation:

\(cos(3\theta)+cos(4\theta)\\\\=2*cos(\dfrac{4\theta+3\theta}{2} )*cos(\dfrac{4\theta-3\theta}{2} )\\\\\boxed{=2*cos(\dfrac{7\theta}{2} )*cos(\dfrac{\theta}{2} )}\)

Answer:

Condition:

If a series converges, then the terms of the series approach 0.

Converse:

If the terms of a series approach 0, then the series converges.

Answer:

C

Step-by-step explanation:

For the data set 3, 6, 4, 13, 3, 7, 5, 13, 3, 7, 5, 15, 3, 8, 5, 27, 4, 8, 6, 6, 4, 11, the outliers are 3, 3, 3, 3, 15, and 27.

In statistics, outlier refers to the data point from a given data set that differs significantly from the other data points.

One way to determine the outlier in a given data set is to calculate the interquartile range.

1. Arrange the data set in ascending or descending order.

3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 11, 13, 13, 15, 27

2. Divide the data set into two sets and find the median.

{3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6} , {6, 6, 7, 7, 8, 8, 11, 13, 13, 15, 27}

Q1 median = 4

Q3 median = 8

3. Solve for the IQR.

IQR = Q3 - Q1

IQR = 8 - 4

IQR = 4

4. Determine the outlier if

high outlier ≥ Q3 + (1.5 x IQR) = 8 + (1.5 x 4) = 14

high outlier ≥ 14

low outlier ≤ Q1 − (1.5 x IQR) = 4 - (1.5 x 4) = 3

Learn more about outliers here: https://brainly.com/question/24195133

#SPJ4

In a case whereby the side length of the base of a square pyramid is 30 centimeter having the height of  45 centimeters, then the volume of the pyramid in cubic centimeters is 13500 cm^3.

The concept that will be used is the concept of volume of a pyramid.

The volume of a pyramid can be calculated using the formula:

V=Ah/3

where A= area of the square pyramid

h =- height.

The area of the square base, A can be expressed as A^2 = (30cm^2) = 900 cm^2.

Then the volume will be = (900*45)/3 = 13500 cm^3

Learn more about pyramid at:

https://brainly.com/question/18994842

#SPJ1

Check the complete question:

The side length of the base of a square pyramid is 30 centimeters. The height of the pyramid is 45 centimeters.

What is the volume of the pyramid in cubic centimeters?

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

If an octagon is 24, how many is a pentagon?

Ans : Pentagon has 5 sides.

( A five-sided shape is called a pentagon. A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides. The names of polygons are derived from the prefixes of ancient Greek numbers. )

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

The pentagon is 15, when octagon is 24.

What is Polygon?

A polygon is a figure made up of line segments (not curves) in a two-dimensional plane. Polygon is the combination of two words, i.e. poly (means many) and gon (means sides).

Polygon with 8 sides known as Octagon and polygon with 5 sides known as Pentagon.

Here, given that, Octagon = 8 sides = 24

So, 1 side= 3

Then, we get, pentagon = 5 sides = (5×3) = 15

Hence, the pentagon is 15.

To learn more on Polygon click:

https://brainly.com/question/15324224

#SPJ2

The value of the 10% trimmed mean is approximately 1.3027. To calculate the 10% trimmed mean, we need to trim off the lowest and highest 10% of the data and then find the mean of the remaining values.

First, let's sort the data in ascending order:

0.2, 0.21, 0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26, 3.06, 3.24

Next, we calculate the number of values to trim from each end:

10% of 15 (total number of values) = 0.1 * 15 = 1.5

Since we can't remove half a value, we round up to the nearest whole number, which is 2.

Now, we remove the two lowest and two highest values:

0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26

Finally, we calculate the mean of the remaining values:

(0.26 + 0.3 + 0.33 + 0.41 + 0.54 + 0.57 + 1.41 + 1.7 + 1.84 + 2.2 + 2.26) / 11 = 14.33 / 11 ≈ 1.3027

Rounding to four decimal places, the value of the 10% trimmed mean is approximately 1.3027.

To know more about statistics refer here;

https://brainly.com/question/32201536?#

#SPJ11

Answer:

Step-by-step explanation:

Depends on what you mean by multiplying by - 1.  I assume you are not going to multiply the y or f(x) term by - 1.

If that is so, take an example. Suppose you have a graph that is y=x^2

That's a parabola that opens upwards and it has a line going through its focus which is a point on the +y axis.

When you multiply the right hand side by - 1, the graph you get will be y = - x^2.

That opens downward and the focus is on the - y axis.

That means that the effect of the graph is that it flips over the x axis, which I think is the third answer.

Answer:

c

Step-by-step explanation:

ape x

Answer:

x=4

Step-by-step explanation:

5(2x-2)=30

divide both sides

2x-2=6

move the constant to the right

2x=6-2

caculate

2x=8

divide both sides

x=4

Answer:if u has a screen shot I whould add a better answer but 0.36 or any smaller number start with 0.

Step-by-step explanation:

Answer:

0.36 0.35 0.34 so on

Step-by-step explanation:

screenshot would help