What is the height of the triangular prism if the Surface Area is 180 inches squared

No, Amit's reasoning is not correct. The correct equation is

(-$5.75) *7 = -$40.25.

An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other. The algebraic equation usually consists of a variable, coefficients and constants.

Equations are like a balance scale. If you’ve seen a balance scale, you would know that an equal amount of weight has to be placed on either side for the scale to be considered “balanced”.

Given that, Amit's bank charged $5.75 fee per month for amount below than a certain value.

After 7 month, the total amount changed from his account is

(-$5.75) *7

= -$40.25.

Here '-' sign represent the amount will deducted from his account.

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The correct equation for Step 3 for completing the square method are shown in the table is,

⇒ (x² + 8x + 16) + (y² - 6y + 9) = 11 + 16 + 9

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

The beginning steps for determining the center and radius of a circle using the completing the square method are;

Step 1 [original equation]:

⇒ x² + 8x + y² - 6y = 11

Step 2 [group like terms]:

⇒ (x² + 8x) + (y² - 6y) = 11

Now, We ca complete the squares for determining the center and radius of a circle as;

Step 1 [original equation]:

⇒ x² + 8x + y² - 6y = 11

Step 2 [group like terms]:

⇒ (x² + 8x) + (y² - 6y) = 11

Step 3;

⇒ (x² + 8x + 16) + (y² - 6y + 9) = 11 + 16 + 9

Step 4;

⇒ (x + 4)² + (y - 3)² = 36

Thus, The correct equation for Step 3 for completing the square method are shown in the table is,

⇒ (x² + 8x + 16) + (y² - 6y + 9) = 11 + 16 + 9

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The value of the sin(2θ) is given as follows:

-24/25.

We are given the cosine of the angle, hence the following identity must be considered:

sin²(θ) + cos²(θ) = 1.

Considering the value of the cosine, the value of the sine is obtained as follows:

sin²(θ) + (3/5)² = 1

sin²(θ) = 16/25

sin(θ) = -4/5 -> apply the square root, angle in the fourth quadrant is negative.

Then the sine of twice the angle is obtained as follows:

sin(2θ) = 2sin(θ)cos(θ)

Hence:

sin(2θ) = 2 x (-4/5) x (3/5) = -24/25.

Meaning that the correct option is the third option.

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The total cost of the computer is 719.95 if Originally the price is 849 the store offers a 20% discount and a 6% sales tax

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To find the purchase total, multiply the price by the percent paid and add the percent of tax.

The store offers a 20% discount

This means you pay 80% of the price. So the discounted price is 0.80(849) = 679.2.

Find the tax to be paid by multiplying 0.06(679.2) = 40.752.

Add the tax for the final total.

679.2 + 40.752 = 719.95

Hence, The total cost of the computer is 719.95 if Originally the price is 849 the store offers a 20% discount and a 6% sales tax

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The number 2755 flights were scheduled.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Recently many airlines have had to cancel flights in a single day.

Republic airlines had to cancel 416 flights representing 15.1% of the airlines' scheduled flights.

The number of flights scheduled,

= 416 x 100/ 15.1

= 41600/15.1

= 2754.96

≈ 2755

Therefore, 2755 flights were scheduled.

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(a) Parameter, (b) Statistic, (c) Statistic, (d) Parameter, (e) Statistic, (f) Statistic, and (g) Statistic.

A parameter is a fixed value that describes a population, while a statistic is a value computed from a sample of data.

In (a), the value of 18% is a fixed value describing the population of governors in the United States after the 2014 national midterm election, so it is a parameter.

In (b), the average score for a class of 28 students is a value computed from a sample, so it is a statistic. The same is true for (c), (e), (f), and (g), where the values are computed from surveys or studies.

In (d), Ty Cobb's career batting average is a fixed value that describes his performance, so it is a parameter. And in (e), the average time spent on the moon is a statistic computed from the data for the 12 men who have walked on the moon.

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The proportional relationship that represents Feng's earnings is given as follows:

y = 27x.

Hence Feng's rate is of 27 dollars per hour.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

Considering the two graphed points, Feng's rate is calculated as follows:

k = 540/20 = 270/10 = 27 dollars per hour.

Meaning that he/she earns a higher rate than Kylie.

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By assuming that the taxpayer has $100,000 as income on the completed Form 1040, the total tax that the employee is responsible for paying will be: $17,836.

A tax bracket is a range of incomes that are subject to a specific income tax rate. Tax brackets are part of a progressive tax system, which means that the level of tax rates rises progressively as an individual's income rises. Low-income taxpayers are taxed at relatively low rates, while higher-income taxpayers are taxed at higher rates.

For example, in 2022, a single filer with taxable income of $100,000 will pay $17,836 in tax, or an average tax rate of 18%. But your marginal tax rate or tax bracket is actually 24%. Therefore, the total tax that the employee is responsible for paying equals to $17,836.

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Bad debts recovered refers to an amount that was previously recorded as bad debts and has now been recovered.

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Answer:

7x^3 + 2x^2 - x

Step-by-step explanation:

To subtract the two expressions (9x^3-4x^2+2x) and (2x^+6x^2-3x), we will need to line up the terms with the same exponent and subtract them.

(9x^3-4x^2+2x) - (2x^+6x^2-3x)

= (9x^3 - 2x^3) + (-4x^2 + 6x^2) + (2x - 3x)

= 7x^3 + 2x^2 - x

So the result of the subtraction is 7x^3 + 2x^2 - x

Please note that if you want to simplify the result further, you can combine like terms.

A total of 11 classes should be suggested to construct a frequency distribution.

A value's frequency is the number of times it occurs or takes place. In a frequency table, a list of objects is presented together with the frequency of each item.

The quantity of observations that take place during a specific predetermined timeframe is the frequency of a class interval. Therefore, if 20 individuals between the ages of 5 and 9 are found in the data from our study, the frequency for the 5–9 age range is 20.

The frequencies of each category are represented individually in a frequency graph; the frequencies of each category are shown cumulatively.

By doing so, we are able to analyze the data's distribution in greater detail than we could have done by using a frequency polygon and performing statistics.

If k is the number of classes and n is the number of observations, then for number of classes we should select the smallest k such that  

[tex]2^k > n[/tex] ( 2 to k rule)

In our case, the no. of observations is 2000

i.e.

2¹⁰ = 1024 < 2000

With this,

2¹¹ = 2048 > 2000

Thus, A total of 11 classes should be suggested to construct a frequency distribution.

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Answer:

Below

Step-by-step explanation:

The TWO ends are EACH  = pi r^2 = pi (1.6)^2

   there are two, so   2 * pi * (1.6)^2

the side surface area is  the circumference ( pi * d) times the height

  =   pi * 3.2 * 3.8  

Add the two underlined items to find the answer that matches

Answer:

Hey i know im late to answer but the real answer is SA = 2π(1.6)2 + 3.2π(3.8) square feet

Step-by-step explanation:

ive done the flvs quiz and i got a 100 percent!

Answer:

3x+12/5

Step-by-step explanation:

The perimeter of a parallelogram P=102mm.

The perimeter of a parallelogram is defined as the total length of the boundaries, surrounding it. The sum of all the sides of a parallelogram is known as the perimeter of a parallelogram.

The formula for the perimeter of a parallelogram:

P=2(a+b).

There are some properties of a parallelogram:

The given information is slant height is 17, height is 24 and breadth is 27.

substitute the given values in the above formula.

P=2*(24+27)

P=2*(51)

P=102.

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Answer:

0.0346

Step-by-step explanation:

[tex]\sf 10^{-3} = \dfrac{1}{10^3}= \dfrac{1}{1000}\\\\\\1.6*10^{-3}=\dfrac{1.6}{1000}\\[/tex]

               = 0.0016

0.033 + 0.0016 = 0.0346

                         [tex]= 3.46 * 10^{-2}[/tex]

[tex]0.033 + (1.6*10-3)=13.033.\\ \\0.033 + (1.6*10^{-3} )=0.0346.[/tex]

[tex]0.033 + (1.6*10-3)[/tex]

Check the attached image.

This is an useful tool to know that operation to solve first.

Since the parenthesis is the priority according to PEMDAS, let's start by solving what's inside of the parenthesis.

So, now that we are looking inside the parenthesis, the operation that goes first, according to PEMDAS, should be multiplication. So let's multiply!

Is this case we need to multiply 1.6 x 10. Result is the following:

[tex]0.033 + (16-3)[/tex]

After that, solve the subtraction in order to clear the parenthesis.

[tex]0.033 +13[/tex]

[tex]13.033[/tex]

[tex]0.033 + (1.6*10-3)=13.033[/tex].

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

[tex]0.033 + (1.6*10^{-3} )[/tex]

[tex]0.033 + (1.6*\frac{1}{10^{3} } )\\ \\0.033 + (1.6*\frac{1}{1000 } )\\ \\0.033 + (\frac{1.6}{1000 } )\\ \\0.033 + (0.0016)\\ \\0.0346[/tex]

Storm moving toward austin at speed of -10 mph.

To find the speed of the storm at 4:00 PM, we need to find the rate of change of the distance of the storm from Austin at that time. To do this, we can use the derivative of the function s(t) = 5 + 14t - 3t^2, which represents the distance of the storm from Austin.

s'(t) = 14 - 6t

At t = 4 hours, or 4:00 PM, the speed of the storm is given by:

s'(4) = 14 - 6 * 4

s'(4) = 14 - 24

s'(4) = -10 mph

So, the storm will be moving at 10 mph towards Austin at 4:00 PM.

Therefore, the answer is: 6. storm speed = -10 mph, storm moving toward Austin.

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Answer:

x=90°

Step-by-step explanation:

The number of ways that at least two of the freshmen are at the ends of the line and at least two of the sophomores are standing next to each other will be 9.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A debate team consists of 5 freshmen and 4 sophomores. (Everyone is distinguishable.)

⇒ (3 x 3)

⇒ 9

The number of ways that at least two of the freshmen are at the ends of the line and at least two of the sophomores are standing next to each other will be 9.

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Answer:

Php 496.69.

Step-by-step explanation:

To calculate the interest earned on your sister's deposits, we need to use the formula for compound interest:

A = P (1 + r/n)^(nt)

Where:

A = the future value of the investment (the total amount of money including interest)

P = the principal amount (the initial deposit)

r = the annual interest rate (expressed as a decimal)

n = the number of times the interest is compounded per year

t = the number of years the money is invested

Given that the deposit is Php 1,000.00 monthly and the interest rate is 6% compounded quarterly, we can substitute these values into the formula:

A = 1000 * (1 + 0.06/4)^(4*t)

We don't know the number of years, but we can use the formula to find out the future value of the investment (A) after a certain number of years, and then we can calculate the interest earned by subtracting the initial deposit from the future value.

For example, assuming the investment is for 5 years, the future value of the investment would be:

A = 1000 * (1 + 0.06/4)^(4*5) = 1496.69

The interest earned after 5 years would be:

1496.69 - (1000125) = 496.69

So the equivalent interest earned after 5 years is Php 496.69.

COMPOUND INTEREST

• Compound interest is also the amount earned

for one year calculated by multiplying the

principal by the interest rate. Borrowing,

bonding and saving in financial institution

apply compound interest. compound interest

are usually used for long term transactions.,

Read the details about the meaning of

compound interest in brainly.ph/question/

448076

Read the details about how to solve compound

interest in brainly.ph/question/2398527

Here is the Formula of compound Interest

• A= P(+tj/m^mt

A=maturity value or future value of the loan or

investment ( compound amount)

j= nominal rate or the yearly interest

m= number of conversion period per year

t period or term of the loan or investment

a= 1,000(1+ 0.06/ 4) ^ 4)

a =1,000 (1+ 0.015) ^ 4

a= 1,000 (1.015^4

a= 1000(1.0613)

a= 1061.3

compound interest( lc)

lc = A-p

Ic = 1061.3 -1000

lc = 61.3 is the interest

The test statistic from a single sample t-distribution is used to obtain the t-statistic increase, which remains constant.

The sample size represents the number of experiences used to derive estimates for a certain population. A sample size from the population was selected. The number of participants or experiences that make up a study is referred to as the "sample size." This number is frequently represented by the symbol n. Two statistical traits are influenced by the sample size: 1) The accuracy of our estimations; 2) The power of research to draw conclusions. The samples represent the findings of random tests. A specific value is selected from a set of possible values when picking a random variable. This particular value is a sample. The potential values and their probabilities are determined by the unpredictable variable's probability density function.

given

Using the test statistic of a single sample t-distribution, the t-statistic is derived.

To ascertain whether the test statistic would change when the sample size was increased, use the concept of the "test statistic."

When the standard deviation is unknown, a hypothesis test is done on the population mean based on the data. When the statistic is large, the t-statistic has a positive value and rejects the null hypothesis.

Increase in sample size is what is stated. Because the sample size (n) is inversely proportional to the t-statistic, the t-statistic would rise.

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The graph known as the "production possibilities curve" (PPC) depicts all the possible permutations of output that can be created with the available resources and technology.

The maximum output for two items under resource constraints is shown by the production possibilities curve.

The graph known as the Production Possibilities Frontier (PPF) illustrates all the possible output combinations of two items that can be created with the resources and technologies currently in use. The PPF effectively expresses the ideas of choice, tradeoffs, and scarcity.

A production possibilities curve (PPC) depicts the greatest quantity of one commodity that can be produced given the degree of production of another good, the total quantity of inputs available to manufacture both commodities, and the production technique.

Therefore, if the production of the commodities declines, the production possibility curve shifts inward.

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Answer:

2. Stephanie is being treated by a doctor.

3. May I help you, sir? Or are you being served?

4. Almost every UK family owns a laptop or tablet.

5. The kids are given 10 euros pocket money each week.

6. Professional footballers earn a lot of money these days.

Step-by-step explanation:

Answer:

Step-by-step explanation: The P-intercept of the equation P = 28 + 2.54w is 28. This means that when the number of units of water used is 0 (w = 0), the amount of Randy's monthly water bill payment is 28 dollars. This is the minimum payment that Randy must make for the water usage, regardless of the actual usage.

The predicted end-of-year value of the portfolio can be calculated as follows:

What is a mathematical expression?

A statement, at least two variables or integers, and one or more arithmetic operations make up a mathematical expression. This mathematical procedure makes it possible to multiply, divide, add, or subtract quantities. The expression structure is as follows: Expression: Math Operator, Number/Variable, Math Operator

s = $200

b = $100

1.08s = 1.08 * $200 = $216

1.02b = 1.02 * $100 = $102

Therefore, the predicted end-of-year value of the portfolio is $216 + $102 = $318.

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Answer:

The tangent of theta is -1/3.

Explation step-by-Step

The tangent of theta is -1/3. This is calculated as follows:

cot theta = -√3

cot theta = 1/tan theta

-√3 = 1/tan theta

-1/3 = tan theta

Answer:

8

Step-by-step explanation:

It would be best if you put in the calculator. Have a good day.

Answer:

Step-by-step explanation:           D.IS CORRECT

The numbers that are missing to complete the number lines are -18,-6,0,12,18 (a), -36,-18,-9, 9, 18, 27, 36(b),-700,-350,350,1050,1400,1750 (c).

In maths and related areas, number lines can be defined as horizontal lines that have numbers placed on them. Moreover, the numbers are placed at equal distances and follow a pattern; for example, 1,2,3,4, etc. or 5,10,15, etc.

Understand the sequence and complete them:

A. The numbers have an interval of 6. Then -18,-12,-6,0,6,18

B. The numbers have an interval of 9. Then: -36,-27,-18,-9,0,8,18,27,36

C. The numbers have an interval of 350. Then: -700, - 350, 0, 350, 700, 1050, 1400, 1750.

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The area of the given region that is enclosed by a cardiod r = 20+20sinθ, is 600π

A definite integral is a formal calculation of area beneath a function, using infinitesimal slivers or stripes of the region.

Given that, we need to find an area for region that is enclosed by a cardiod

r = 20+20sinθ

Using definite integral,

[tex]\frac{1}{2}\cdot \int _0^{2\pi }\left(20+20\sin \left(\theta\right)\right)^2d\theta[/tex]

= [tex]\frac{1}{2}\cdot \int _0^{2\pi }\left(400+400\sin^2 \left(\theta\right)+800sin\theta\right)d\theta[/tex]

= [tex]\frac{1}{2}\cdot \int _0^{2\pi }\left(400+400(\frac{1-cos2\theta}{2})+800sin\theta\right)d\theta[/tex]

= [tex]\frac{1}{2}\cdot \int _0^{2\pi }\left(600+200cos2\theta}+800sin\theta\right)d\theta[/tex]

= [tex]\frac{1}{2}\cdot \:1200\pi[/tex]

= [tex]600\pi[/tex]

Hence, the area of the given region that is enclosed by a cardiod

r = 20+20sinθ, is 600π

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