Explain how you could calculate the surface area of a square pyramid

Answer: 48

explanation : 4+4=8

8+5=13

13+8=21

21+8=29

29+4=33

33+5=38

38+1=39

39+2=41

41+3=44

44+4=48

Answer:

Below.

Step-by-step explanation:

Complete the multiplication and the equation becomes

4/6−3/6=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

4−3/6=1/6

This fraction cannot be reduced.

Therefore:

2/3−1/2=16

Solution by Formulas

Apply the fractions formula for subtraction, to

2/3−1/2

and solve

(2×2)−(1×3)3×2

=4−3/6

=1/6

Therefore:

2/3−1/2=1/6

Answer:

4. 56 ft²

Step-by-step explanation:

SA = (4×4)+(4×½×4×5)

= 16+40

= 56

Answer:

y=-5

Step-by-step explanation:

When the x-value on the graph is equal to -4, the y-value is equal to -5

The difference between the amount in two cards of Sandra after 4 years will be $125.58 approx.

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

\(a = p(1 + \dfrac{r}{n})^{nt}\)

For this case, Sandra has got 2 credit cards p and q. Calculating the final amount both card will have after 4 years:

Initial amount = p = $726.19

The rate of interest is r = 10.19% = 10.19/100 = 0.1019 (converted percent to decimal)

Years for which amount is compounded = 4 years, Thus, t = 4

The interest is compounding semiannually, that means twice per year, thus, n = 2

Thus, the final amount in card p after 4 years would be:

\(a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 726.19(1+0.1019/2)^{2 \times 4} \\\\a= 726.19 \times (1.05095)^8 \approx 1080.70\: \rm (in \: dollars)\)

Initial amount = p = $855.20

The rate of interest is r = 8.63% = 8.63/100 = 0.0863 (converted percent to decimal)

Years for which amount is compounded = 4 years, Thus, t = 4

The interest is compounding monthly, that means twelve times per year, thus, n = 12

Thus, the final amount in card q after 4 years would be:

\(a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 855.20(1+0.0863/12)^{12 \times 4} \\\\a= 855.20\times (1.0071916)^{48} \approx 1206.28\: \rm (in \: dollars)\)

Clearly card q has more amount than card p at the end of 4 years.

The difference is: 1206.28 - 1080.70 = 125.58 (in dollars)

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Ans:wer:

is D:45  

Step-by-step explanation:

Answer:

D: 45

Step-by-step explanation:

Volume = length x width x height

5 x 3 x 3 = 45

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Histograms are an effective way to display data graphically. They are used to show how often certain values or ranges of values appear in a data set. Visual interpretation of histograms has many strengths and limitations. Some of the strengths of visually interpreting histograms are that they are easy to read and understand, they provide a clear picture of how the data is distributed, and they can help identify outliers or gaps in the data. However, some of the limitations of visually interpreting histograms are that they can be influenced by the number of bins chosen, the way the data is grouped, and the choice of the scale used. Therefore, it is important to carefully consider these factors when interpreting a histogram. In conclusion, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

Therefore, visually interpreting histograms can be a powerful tool for data analysis, but it is important to be aware of their strengths and limitations.

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Answer:

41 degrees

Step-by-step explanation:

Here in this question , we are interested in calculating the value of angle x.

Firstly, we shall be needing a diagrammatic representation, please check attachment for this.

We are interested in calculating angle x, which represents the angle facing the opposite. The other third side that we have is referred to as the adjacent.

The trigonometric ratio to use here is thus called the tangent.

Mathematically the tangent of an angle = length of the opposite/length of the adjacent

The value 5.6 is our opposite since it faces the angle while the length 6.5 is the adjacent.

Thus;

tan x = 5.6/6.5

tan x = 0.8615

x = arc tan 0.8615

x = 40.75 degrees which is 41 degrees to the nearest degree

Answer:

41

Step-by-step explanation:

tan  −1  (  6.5 /  5.6  )  =  40.746 = 41

Answer:

what's your questions

To send Kred to a Krew member, you can follow the steps provided by the Kred platform. These steps typically involve accessing your Kred account, selecting the desired recipient, specifying the amount of Kred to send, and confirming the transaction.

Sending Kred to a Krew member usually requires using the features and functionalities provided by the specific Kred platform or service. The process may vary depending on the platform, so it is recommended to refer to the official documentation or guidelines provided by the platform. Typically, you would need to log in to your Kred account, navigate to the appropriate section for sending Kred, select the intended recipient from the list of Krew members, enter the desired amount of Kred to send, review the transaction details, and confirm the transfer. The platform may also offer additional options or settings for customizing the transfer process.

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The standard form of the equation of a circle with centre (a,b) and radius r, is:

From the question, we provided with the following;

Thus, we have:

Hence, the equation of the circle is:

Try this option:

the final price of the first machine after discount is:

(1-0.3)*495=346.5$;

the final price of the second machine after all the discount is:

(1-(0.2+0.2*0.1))*495=386.1$.

Short explanation: the additional 10% off is 2% of the initial price for the second machine; the final discount of the second machine is 22%.

Answer:

Yeah the answer is well the first washing machine is 347 then for the second it would be 356

Step-by-step explanation:

no prob

Answer:

Answer is 6x-13

Step-by-step explanation:

Given

XZ=8x-18 and RZ=2x+5

XR=XZ-RZ

8x-18-2x+5

8x-2x-18+5

6x-13Ans

Answer:

A: 10 pillows

Step-by-step explanation:

Conventional way:

Turn 6 into 6/1.

6/1 ÷ 3/5

Answer: 10

-kiniwih426

By proving the explanation, It is established that a positive integer is expressible as the difference between two squares of integers if and only if it is not of form 4n+2, n ∈ ℤ.

To prove that a positive integer is expressible as the difference of two squares of integers if and only if it is not of form 4n+2, n ∈ ℤ, we will demonstrate two separate cases:

Case 1: If a positive integer is expressible as the difference between two squares of integers, then it is not of form 4n+2.

Assume there exists a positive integer, k, that can be expressed as the difference of two squares of integers, i.e., k = m² - n², where m and n are integers.

We can rewrite the expression as k = (m - n)(m + n).

Now, consider the parity of the terms (m - n) and (m + n).

If both (m - n) and (m + n) are even, then k would be divisible by 4, as it would have a factor of 2 from each term.

In this case, k cannot be of the form 4n+2.

If both (m - n) and (m + n) are odd, then their sum (m - n) + (m + n) would be even. In this case, k cannot be of the form 4n+2.

If one of (m - n) or (m + n) is odd and the other is even, their sum (m - n) + (m + n) would be odd. In this case, k cannot be of the form 4n+2.

Thus, in all cases, if k is expressible as the difference between two squares of integers, it cannot be of form 4n+2.

Case 2: If a positive integer is not of the form 4n+2, then it is expressible as the difference of two squares of integers.

Assume a positive integer, k is not of form 4n+2, where n ∈ ℤ.

Consider the two cases of k being odd or k being even:

If k is odd, we can represent k as k = (k+1)/2 - (k-1)/2.

Both (k+1)/2 and (k-1)/2 are integers, so k can be expressed as the difference between two squares of integers.

If k is even, we can represent k as k = (k/2)²- (k/2 - 1)².

Both (k/2)² and (k/2 - 1)² are squares of integers, so k can be expressed as the difference between two squares of integers.

Therefore, if a positive integer is not of form 4n+2, it is expressible as the difference of two squares of integers.

By proving the above explanation, It is established that a positive integer is expressible as the difference between two squares of integers if and only if it is not of form 4n+2, n ∈ ℤ.

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The required equation for line M will be 4x+72=y as in the form of y=ax+b because line L is perpendicular to line M.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. a formula that expresses the connection between two expressions on either side of a sign. Typically, it has a single variable and an equal sign. A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are present. The variables in the above equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Here,

If x-intercept=B and y-intercept=E

Point B=(16,0)

Point E=(0,4)

point A=(-16,4+4)

=(-16,8)

line M is perpendicular to line L,

slope of L=-4/16

=-1/4

slope of M=-1/-1/4=4

The equation of line M will be,

point=(-16,8)

slope=4

y-8=4(x+16)

y-8=4x+64

4x-y+72=0

Line L is perpendicular to line M, so the required equation for line M will be 4x+72=y in the form of y=ax+b.

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Answer:

y=5 x=-2

Step-by-step explanation:

the easiest answer would be a vertical or . horizontal line

Answer:

0

Step-by-step explanation:

Step One: Identify two points on the line.

Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Step Three: Use the slope equation to calculate slope ----> m= y2-y1/x2-x1

Answer:

The answer is B

Hope this helped ;)

12/35 fraction of the total number is unused from two different cards.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Assuming the total first kind of card form is 1 and the total second kind of card form is also one.

Given, a company buys equal numbers of two different card forms. it utilizes 4/5 of one kind and 6/7 of the other.

∴ The total unused card form is,

= (1 + 1) - (4/5 + 6/7).

= 2 - (28 + 30)/35.

= 2 - 58/35.

= (70 - 58)/35.

= 12/35.

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To rewrite the expression $3x^2 + 14x + 8$ in the form $(3x + a)(x + b)$, we need to find integers $a$ and $b$ such that the product of these two terms gives the original expression.

First, we need to find the factors of $3 \times 8 = 24$. The pairs of factors are: $(1, 24), (2, 12), (3, 8), (4, 6)$. We need a pair that has a sum of $14$ (the coefficient of the middle term). The pair $(2, 12)$ meets this requirement.

Now we can write the expression as:

$(3x^2 + 2x) + (12x + 8) = (3x + 2)(x + 4)$

So, $a = 2$ and $b = 4$. The value of $a - b$ is $2 - 4 = -2$.

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True. A hashing algorithm is a mathematical routine used to generate a hash value from a primary key value.

A relative record number that may be used to retrieve the required record in a data structure is created using this hash value.

In order to facilitate quick access to the data, the hashing algorithm makes sure that the same hash value is generated for every primary key. How quickly the requested record can be found depends on how effective the hashing method is.

Also, it must be safe enough to prevent two main key values from producing the same hash value, as doing so might result in accessing the wrong records.

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The formula n ∑ j=0 ( − 1 2 )j = 2n 1 (−1)n 3 ⋅ 2n holds true for any nonnegative integer n.

To prove the formula n ∑ j=0 ( − 1 2 )j = 2n 1 (−1)n 3 ⋅ 2n, we can use mathematical induction.

Base case (n = 0)

When n = 0, the formula becomes 0 ∑ j=0 (−1/2)^j = 2^0 * 1 * (−1)^0 * 3 * 2^0.

Simplifying, we have 1 = 1, which is true. So, the base case holds.

Inductive hypothesis

Assume that the formula holds true for some nonnegative integer k, i.e., k ∑ j=0 (−1/2)^j = 2^k * 1 * (−1)^k * 3 * 2^k.

Inductive step

We need to prove that the formula holds for n = k + 1, i.e., (k + 1) ∑ j=0 (−1/2)^j = 2^(k+1) * 1 * (−1)^(k+1) * 3 * 2^(k+1).

Expanding the left-hand side of the equation:

(k + 1) ∑ j=0 (−1/2)^j = k ∑ j=0 (−1/2)^j + (−1/2)^(k+1).

Using the inductive hypothesis, we can substitute the expression for k ∑ j=0 (−1/2)^j:

= (2^k * 1 * (−1)^k * 3 * 2^k) + (−1/2)^(k+1).

Now, let's simplify the right-hand side of the equation:

2^(k+1) * 1 * (−1)^(k+1) * 3 * 2^(k+1) = 2^k * 2 * (−1)^(k+1) * 3 * 2^k * 2.

We can rewrite (−1)^(k+1) as −1 * (−1)^k, and simplify the expression further:

= (2^k * 1 * (−1)^k * 3 * 2^k) * (−1) * 2.

Comparing the expanded left-hand side with the right-hand side, we can see that they are equal.

Therefore, the formula n ∑ j=0 (−1/2)^j = 2n * 1 * (−1)^n * 3 * 2n holds true for any nonnegative integer n, as proven by mathematical induction.

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Answer:

11 nickels and 9 dimes.

Step-by-step explanation:

11x5=55+(9x10)=55+90=145

145-(11x5)=145-55=90÷10=9

nickels: 11

dimes: 9

11+9=20

Answer:

9 Dimes and 11 Nickels

Step-by-step explanation:

1.45= 145

N=5

D=10

D>N

d*9=90

n*11=55

90+55=145

Approximately 897 liters of oil would be required to supply the electrical energy needs of an average home for a year. Keep in mind that this is a rough estimate, as factors like energy consumption and power plant efficiency can vary.

To answer your question, we need to consider a few factors such as the size of the home and the energy consumption of the household. However, on average, a household consumes around 10,000 kilowatt-hours (kWh) of electricity per year. If we convert this into liters of oil, we can use a conversion factor of 0.2778 liters of oil per kWh. Therefore, an average household would require around 2,778 liters of oil per year to supply their electrical energy needs.
It is important to note that this is just an estimate and the actual amount of oil required may vary depending on various factors such as the efficiency of the heating system and the energy usage habits of the household. It is also worth considering alternative energy sources such as solar or wind power, which can reduce the dependence on oil and lower the carbon footprint of the household.
In conclusion, an average household would require approximately 2,778 liters of oil to supply their electrical energy needs for a year. However, it is important to explore alternative energy sources and implement energy-saving measures to reduce the reliance on oil and minimize environmental impact.
The number of liters of oil required to supply the electrical energy needs of an average home for a year depends on the home's energy consumption and the efficiency of the power plant converting the oil into electricity. On average, a US household consumes about 10,649 kilowatt-hours (kWh) of electricity per year.
A typical oil-fired power plant can produce around 1,885 kWh of electricity from one barrel (159 liters) of oil, with an efficiency rate of around 33%. To calculate the number of liters needed for a year, we can use the formula:
(Number of kWh per year) / (kWh per liter of oil) = Liters of oil needed
First, let's find the kWh per liter of oil: 1,885 kWh/barrel * (1 barrel/159 liters) ≈ 11.86 kWh/liter
Now we can calculate the liters of oil needed: 10,649 kWh/year / 11.86 kWh/liter ≈ 897 liters/year
So, approximately 897 liters of oil would be required to supply the electrical energy needs of an average home for a year. Keep in mind that this is a rough estimate, as factors like energy consumption and power plant efficiency can vary.

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The correct option is b) 7.888. The number of people in the museum is at a maximum at time t ≈ 7.888 hours using Newton-Raphson method.

To find the time t when the number of people in the museum is at a maximum for 1 < t < 11, we need to find the maximum value of the net rate of people entering the museum, which is the difference between the rates of people entering and leaving the museum.

Given the functions f'(t) = 380(\(1.02^t\))(t – 4) and g'(t) = 240 + 240 sin t, let's define a new function h(t) representing the net rate of people entering the museum:

h(t) = f'(t) - g'(t)

Now, we need to find the critical points of h(t) to locate the maximum value. To do this, we will find the derivative of h(t) and set it equal to 0.

h'(t) = f''(t) - g''(t)

To find the second derivatives, we differentiate f'(t) and g'(t) with respect to t:

f''(t) = 380(\(1.02^t\))(1 - 4t + \(t^2\))
g''(t) = 240 cos t

Now, we find h'(t):

h'(t) = 380(1.02^t)(1 - 4t + \(t^2\)) - 240 cos t

Set h'(t) = 0 and solve for t within the interval 1 < t < 11:

380()(1 - 4t + \(t^2\)) - 240 cos t = 0

This equation is transcendental and is best solved using a numerical method such as the Newton-Raphson method. Using a calculator or software, we find the approximate value of t as:

t ≈ 7.888

Therefore, the correct option is b) 7.888, the number of people in the museum is at a maximum at time t ≈ 7.888 hours (Option B).

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Thomas bought 6 plastic cups and 6 glass cups.

For given question,

Let a be the number of glass cups and b be the number of plastic cups.

Thomas bought 12 glass cups and plastic cups.

So, we get an equation

a + b = 12                        .................(1)

The glass cups cost $3.25 and plastic cups cost $2.75

Thomas spent a total of $36

From this information we get equation,

3.25 a + 2.75 b = 36         ............(2)

We have a system of equations.

From equation (1),

a = 12 - b                  .............(3)

Substitute above value of a in equation (2)

3.25 (12 - b) + 2.75 b = 36

39 - 3.25 b + 2.75 b = 36

39 - 0.5 b = 36

-0.5 b = -3

b = 6

This means, Thomas bought 6 plastic cups.

Substitute above value of b in equation (3)

So, a = 12 - 6

a = 6

Thomas bought 6 glass cups.

Therefore, Thomas bought 6 plastic cups and 6 glass cups.

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The net change in the value of the function between x = 1 and x = 6 is 30.

To find the net change in the value of the function between the inputs of 1 and 6, we need to find the difference between the output values of the function at x = 1 and x = 6, and then take the absolute value of that difference.

First, we can find the output value of the function at x = 1:

f(1) = 6(1) - 5 = 1

Next, we can find the output value of the function at x = 6:

f(6) = 6(6) - 5 = 31

The net change in the value of the function between x = 1 and x = 6 is the absolute value of the difference between these two output values:

|f(6) - f(1)| = |31 - 1| = 30

Therefore, the net change in the value of the function between x = 1 and x = 6 is 30.

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