please help and I will mark big brain ​

The surface area of square pyramid is 64 ft²

What is square pyramid?
In terms of geometry, a square pyramid is a pyramid with a square base and four lateral faces. A pyramid is a type of polyhedron with three or more triangular faces that meet above its base (the apex). A square pyramid is a pentahedron, a three-dimensional shape with a total of five faces. The Great Pyramid of Giza is a well-known example of a real-life pyramid. When we learn about pyramids, we must also learn other concepts that are related to them, such as the volume and area of the pyramid. In this article, we will learn what a square pyramid is, its types, characteristics, surface area formulas, and volume formulas with numerous examples and solutions.

For a square pyramid, the surface area is given by the following equation:

SA = a^2 + 4(a)(h)
where a is the side length of the base and h is the slant height.
In this case, a = 4 and h = 3. Therefore,
SA = 4^2 + 4(4)(3)
SA = 16 + 48
SA = 64 ft^2

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byAnswer: doing the trials/tests

Step-by-step explanation: Learn With Brainly

Answer:

D is the answer

Step-by-step explanation:

The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is given as follows:

0.5874 = 58.74%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 17.2, \sigma = 2.5, n = 40, s = \frac{2.5}{\sqrt{40}} = 0.3953\)

The probability that the mean of a sample of 40 families will be between 17.1 and 18.1 pounds is the p-value of Z when X = 18.1 subtracted by the p-value of Z when X = 17.1, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem:

\(Z = \frac{X - \mu}{s}\)

Z = (18.1 - 17.2)/0.3953

Z = 2.28

Z = 2.28 has a p-value of 0.9887.

Z = (17.1 - 17.2)/0.3953

Z = -0.25

Z = -0.25 has a p-value of 0.4013.

Hence:

0.9887 - 0.4013 = 0.5874 = 58.74%.

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Answer:

The numbers 1 to 12 must be placed in the circles of the star shown on the right. The sums of the numbers in each row, and the sum of the numbers in the six outer circles of the star, must be equal to 26. Arrange the numbers accordingly.

Answer:

Y= -5/2x +16

Step-by-step explanation:

To solve this, understand that (-8,4) is (x,y)

And Slope intercept form is y=mx +b

Since you have a possible x and y with - 8 and 4, sub that in making it 4=m(-8) + b

We also have the Slope (or M) which is -5/2, sub that in and get 4 = -5/2 (-8) + b

Do the multiplication and get 4= 40/2 +b

Simplify to 4= 20 + b

Then re-arrange to have the unknown (b) on one side and known on the other (when you move a number over the equal sign its sign, positive or negative, becomes the opposite)

B= 20-4

Subtract

B= 16

Now you know the b and can add it to your equation,

Y= -5/2x +16

Answer:

y = -5/2x - 16.

Step-by-step explanation:

First use the point-slope form of a line:

y - y1 = m(x - x1)

y - 4 = -5/2(x - (-8))

y - 4 = -5/2x - 40/2

y =  -5/2x - 20 + 4

y = -5/2x - 16.

Answer: The two numbers that multiply to -65 and add to -8 are -13 and 5.

Steps: Here are the steps to find two numbers that multiply to -65 and add to -8:

Write down the equation x * y = -65 where x and y are the two numbers you’re looking for.

Write down the equation x + y = -8.

Solve for one of the variables in one of the equations. For example, solving for x in the second equation gives us x = -8 - y.

Substitute this expression for x into the first equation: (-8 - y) * y = -65.

Solve this quadratic equation for y: -y^2 - 8y + 65 = 0.

Use the quadratic formula to find the values of y: y = (-(-8) +/- sqrt((-8)^2 - 4 * (-1) * 65)) / (2 * (-1)).

This gives us two possible values for y: -13 and 5.

Substitute these values back into one of the original equations to find the corresponding values of x. For example, when y = -13, we have x = -8 - (-13) = 5. When y = 5, we have x = -8 - 5 = -13.

So, the two numbers that multiply to -65 and add to -8 are -13 and 5.

Robert's dimes are anywhere between 17 and 19.

Nickels

are worth 5 cents, and

dimes

are worth 10 cents. Since Robert has 10 nickels, he already has 50 cents. To reach a minimum of $2.20, or 220 cents, Robert needs at least 170 more cents. Because each dime is worth 10 cents, he needs a minimum of 17 dimes. If he has a maximum of 29 coins in total, subtracting the 10 nickels means that he can have up to 19 dimes. So, Robert could have anywhere between 17 and 19 dimes.

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Answer:

a) The equation of y in terms of 'x'

                              \(y = \frac{1}{k} x\)

b)     y = 63.0

Step-by-step explanation:

Step(i):-

Given that the' x' is proportional to 'y'

  x ∝ y

 x = ky

where 'k' is proportional constant

Given that x =8 and y=14

The equation   x= ky

                         8 = k (14)

                        \(k = \frac{8}{14} = 0.571\)4

Step(ii):-

a) The equation  x= ky

The equation of y in terms of 'x'

                              \(y = \frac{1}{k} x\)

b)

      Given that x = 36 and k = 0.5714

The equation of y in terms of 'x'

                              \(y = \frac{1}{k} x\)

                             \(y = \frac{36}{0.5714}\)

                             y = 63.0

Answer:

you can make 10 servings

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

48 + 3y = 90 degrees   so y = 14 degrees

3x + 2x + 12 = 90   so x = 78/5 = 15.6 degrees

1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .

The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.

The length of my book in when measured in millimeters is 280 mm.

In centimeters, this is therefore:

= 280 mm / 10 cm /mm

= 28 cm

Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.

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Answer: The answer is 3

Answer:

face value = 2

Step-by-step explanation:

Face value = 2

Place value = 200

I hope im right!!

You would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four years.

To calculate the monthly savings required to reach a savings goal of $3,000.00 over four years with a 10% annual interest rate,  we can use the PMT (Payment) function.

The PMT function helps us determine the fixed payment amount needed to achieve a specific future value within a given time frame.

Let's break down the given information:

Present Value (PV): $0.00 (initial account balance)

Future Value (FV): $3,000.00 (savings goal)

Interest Rate (rate): 10% per year (annual interest rate)

Number of Periods (nper): 4 years (48 months)

Using the PMT function, we need to plug in the values and solve for the monthly payment (savings amount).

The formula for the PMT function is:

PMT(rate, nper, pv, [fv], [type])

Where:

rate = Interest rate per period

nper = Total number of periods

pv = Present value (initial account balance)

fv = Future value (savings goal)

type = (Optional) Indicates whether the payment is made at the beginning (1) or end (0) of the period.

We'll assume 0 for monthly savings.

Let's calculate the monthly savings using the PMT function:

PMT(10%/12, 4*12, 0, -3000, 0)

Here, we divide the annual interest rate by 12 to get the monthly interest rate (10%/12), multiply the number of years by 12 to get the total number of months (4*12), set the initial account balance (pv) as $0, set the future value (fv) as -$3,000 (negative because it's an outgoing payment), and assume the savings are made at the end of each month (type = 0).

Using a financial calculator or spreadsheet software, the monthly savings required to reach the goal of $3,000.00 over four years with a 10% annual interest rate is approximately $56.62.

Therefore, you would need to save approximately $56.62 each month to achieve your savings goal of $3,000.00 over four year.

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Question : you want to reach $3,000.00 in savings over four years. Your account will earn 10% interest per yea Initially your account has a zero balance. How much must you save each month to achieve this goal? Use the PMT() function. Look it up in the e-book if you do not know how to use it. TIP: This is monthly so do not forget to adjust the interest rate and number of payment.

Answer:

21 multiplyed by .3%

Step-by-step explanation:

Answer:

Step-by-step explanation:

let the length=x

width=y

P=2(x+y)=128

x+y=128/2=64

y=64-x

area A=xy=x(64-x)=64x-x²

\(\frac{dA}{dx} =64-2x\\\\\frac{dA}{dx} =0,gives~64-2x=0,x=32\\\frac{d^2A}{dx^2} =-2<0 ,at ~x=32\)

so A or area is maximum if x=32

y=64-32=32

or it is a square of edge=32 meters.

The expression for the perimeter is P = 12x - 16

The given parameters are

Length = 3x + 1

Width = 3x - 9

The perimeter is calculated as

P = 2 * (Width + Length)

So, we have

P = 2 * (3x + 1 + 3x - 9)

Evaluate

P = 2* (6x - 8)

Expand

P = 12x - 16

Hence, the expression for the perimeter is P = 12x - 16

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Set A:

1. 1 1/2 - closest to 1

2. 11/24 - closest to 1/2

3. 3/16 - closest to 0

4. 11/24 - closest to 1/2

5. 8/15 - closest to 1/2

6. 49/60 - closest to 1

7. 1 1/10 - closest to 1

8. 31/60 - closest to 1/2

Set B:

1. Common denominator = 10

2. Common demoninator = 18

3. Common denominator = 28

Answer:

-2x - 2 x -4

-2x + 8  (answer)

Step-by-step explanation:

The chemist uses 3.33 liters of 30% solution to make 5 liters of a 40% chemical solution

An equation is an expression composed of variables and numbers linked together by mathematical operations.

Let x represent amount of 60% solution and y represent the amount of 30% solution.

If a chemist wants to make 5 liters of a 40% chemical solution by mixing a 60% solution with a 30% solution. Hence:

x + y = 5    (1)

Also:

0.6x + 0.3y = 5(0.4)

0.6x + 0.3y = 2    (2)

From both equations:

x = 1.67, y = 3.33

The chemist uses 3.33 liters of 30% solution

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The reason for which the graph is misleading is given as follows:

The x-axis only shows the data for one year.

The statement for this problem is given as follows:

"The yearly spending for the company has drastically decreased".

To state that the yearly spending has decreased, a comparison of the spending for multiple years must be made.

However, on the x-axis of the function, the time in years is shown for only one year, which is the reason why we can say that the graph is misleading.

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The mean of the frequency distribution is 52 degrees. and option A is carrect  . A) The computed mean is close to the actual mean because the difference between the means is less than​ 5%

First, we calculate the class mid-points (x); This is the mean of the class intervals.

For 40 - 44, x = (40 + 44)/2 = 42. This is applied to all other classes.

40 −44 = 42

45 −49 = 47

50 −54 = 52

55 −59 =57

64 −64 = 62

So:

x  42    47     52       57     62

f    22    55    1212     77      11

mean = ∑f(x)/∑f

= (42*22+47*55+52*1212+57*77+62*11)/(22+55+1212+77+11)

= 71604/1377

=52

actual mean = 51.8

and now mean = 52

percentage difference = ((52-51.8)/51.8)*100

= 0.3861 percentage

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The utility can be used to quantify and compare preferences in decision-making scenarios where performance is not measured by monetary value.

The utility can be used as a measure of preference or satisfaction in decision-making situations where performance is not directly measured by monetary value. Utility refers to the subjective value or desirability that an individual assigns to different outcomes or options.

In such cases, utility can be quantified using a utility function, which maps the outcomes or attributes of the decision problem to a numerical representation of the individual's preferences. This function allows for the comparison and evaluation of different options based on their utility values.

For example, consider a decision involving healthcare treatments. The performance of different treatments may not be easily measured in monetary terms, but individuals may have preferences based on factors such as effectiveness, side effects, or quality of life impact.

Utility can be used to capture these preferences and make a decision that maximizes the overall satisfaction or well-being of the individual.

To use utility in decision-making, it is necessary to understand and quantify individual preferences through techniques like surveys, interviews, or experimental methods. By assigning utility values to different outcomes or attributes, decision-makers can then compare options and select the one that maximizes utility.

However, it's important to note that utility is subjective and varies among individuals. Different people may have different utility functions and weigh attributes differently. Therefore, utility-based decision-making requires taking into account the preferences of the specific individual or group involved.

In summary, utility can be employed in decision-making scenarios where performance is not directly measured in monetary terms. It quantifies subjective preferences and allows for the comparison and selection of options based on the utility values assigned to different outcomes or attributes.

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The solution of the given quadratic equation -5 = -36 / m + m is,

 m = - 9 or  m = 4

The given equation is

-5 = -36 / m + m

After re arranging it we get,

m² + 5m - 36 = 0

This is nothing but quadratic equation,

Since we know that,

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

So now we can write,

⇒ m² + 9m - 4m - 36 = 0

⇒ m(m + 9) - 4(m + 9) = 0

⇒ (m + 9)(m - 4) = 0

Therefore,

⇒ (m + 9) = 0 or (m - 4) = 0

⇒ m = - 9 or  m = 4

Thus,

The solution of the given expression is

m = - 9 or  m = 4

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Answer:

10 divided by 2=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this help!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

034579+&_9&__78'_&666

Answer:

To find the volume of the given cuboid.

Length of the cuboid = 6.8 yd

Breadth of the cuboid = 4.5 yd

Height of the cuboid = 3.4 yd

We get,

Volume of a cuboid is,

where l,b and h are the length, breadth and height respectively.

Substitute the values we get,

Answer is: Volume of the cuboid is 104.04 cubic yards.

A. The solution of  linear equation is (x, y) = (-3, 8).

B. The solution is (x, y) = (3/4, -1).

C. The solution is (x, y) = (-31/8, 3/8).

D. The solution is (x, y) = (55/7, -117/14).

A. 3x - y = -11 --- (1)

-x + y = 5 --- (2)

From equation (2), we can write y = x + 5, and substitute it in equation (1):

3x - (x + 5) = -11

2x = -6

x = -3

Substituting x in equation (2):

-y = -8

y = 8

Therefore, the solution of the system is (x, y) = (-3, 8).

To check the solution, we substitute the values of x and y in the original equations:

3(-3) - 8 = -11 (True)

-(-3) + 8 = 5 (True)

So, the solution is correct.

B. -2y + 3 = 4x + 2 --- (1)

6x + 4y = 1 --- (2)

From equation (1), we can write 4x + 2 = -2y + 3, and substitute it in equation (2):

6x + 4y = 1

6x - 4y = 8 (rearranging)

12x = 9

x = 3/4

Substituting x in equation (1):

-2y + 3 = 4(3/4) + 2

-2y + 3 = 5

-2y = 2

y = -1

Therefore, the solution of the system is (x, y) = (3/4, -1).

To check the solution, we substitute the values of x and y in the original equations:

-2(-1) + 3 = 4(3/4) + 2 (True)

6(3/4) + 4(-1) = 1 (True)

So, the solution is correct.

C. 32y - x = -25 --- (1)

5x = 100 + x - 8y --- (2)

From equation (2), we can write 4x = 100 - 8y, and substitute it in equation (1):

32y - x = -25

32y - (100 - 8y) = -25

40y = 75

y = 3/8

Substituting y in equation (1):

32(3/8) - x = -25

x = -31/8.

Therefore, the solution of the system is (x, y) = (-31/8, 3/8).

To check the solution, we substitute the values of x and y in the original equations:

32(3/8) - (-31/8) = -25 (True)

5(-31/8) = 100 + (-31/8) - 8(3/8) (True)

So, the solution is correct.

D. To solve the system of equations:

2y + 3x = 6 --- (1)

4x + 5y + 20 = 0 --- (2)

We can rearrange equation (2) to isolate one of the variables:

4x + 5y = -20 (subtracting 20 from both sides)

5y = -4x - 20 (subtracting 4x from both sides)

y = (-4/5)x - 4 (dividing both sides by 5)

Substituting this value of y in equation (1):

2((-4/5)x - 4) + 3x = 6

(-8/5)x - 8 + 3x = 6

(-8/5)x + 3x = 14

(-8/5 + 3)x = 14

(-8/5 + 15/5)x = 14

(7/5)x = 14

x = 10

Substituting this value of x in the equation for y:

y = (-4/5)(10) - 4

y = -12.

Therefore, the solution of the system is (x, y) = (10, -12).

To check the solution, we substitute the values of x and y in the original equations:

2(-12) + 3(10) = 6 (True)

4(10) + 5(-12) + 20 = 0 (True)

So, the solution is correct.

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