12ft long, 3.5ft width, 1.25ft tall. What is the volume?

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Charlene calculated that the monthly patyment, including interests is $ 692.88.

Taxes = $ 3,200 annually, if we divide it by 12, we will find the monthly amount, this way:

3,200/12 = $ 266.67

Insurance = $ 1,050 annually, if we divide it by 12, we will find the monthly amount, this way:

1,,050/12 = $ 87.50

Home owners association = $ 28

Therefore, the monthly payment would be:

692.88 + 266.67 + 87.50 + 28

You can finish the calculation, Charlene!

2 on division by 3/7 yields 14/3.

For the division of two fractions, we need to multiply the first fraction with the reciprocal of the second. Reciprocal of a fraction means interchanging the numerator and denominator ie, the reciprocal of a is 1/a, the reciprocal of p/q = q/p, and so on.

For example, if a/b and c/d are the fractions the a/b ÷ c/d = a/b x d/c =ad/bc.

Implementing the same method to solve this question,

We have 2/1 = 2 as the first and 3/7 as the second fraction. Thus,

2 ÷3/7 =2 x 7/3 = 14/3. So 14/3 is the answer.

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ok it would be moment if something is happening again and again it kl and I have a lot of the complex number of 3333rd graders in the us and I have a 33 year

Answer:

  128

Step-by-step explanation:

You want a prediction for x=2 when the given data is modeled by an exponential model.

A graphing calculator's exponential regression function models this data with the formula ...

  y = 135.7 · 0.9711^x

  y = 137.7 · 0.9711^2 ≈ 127.94 . . . . when x=2

This model gives a value for variable 2 of approximately 128 when variable 1 = 2.

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Answer:

The surface area is 65.94 ft

Perimeter of the parallelogram = 210 in.

Area of parallelogram = 2,484 in.²

Perimeter of parallelogram = 2(a + b), where a and b are its sides.

Area of parallelogram = (b)(h), where h is its height and b is the length of one of its bases.

Given:

a = 51 in.

b = 54 in.

h = 46 in.

Perimeter of the parallelogram = 2(54 + 51) = 210 in.

Area of parallelogram = (b)(h) = (54)(46) = 2,484 in.²

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A function is a relation in which there is only one y-value for every x-value.

If we given an input of 3 for x, for example, we would only get one output for y, like 1, for example.

If we look at the table, we can see that the x-value of 3 gives us two outputs: 7 and 9.

Therefore, this relation is not a function.

Answer:

y= (-6/5)x+3

Step-by-step explanation:

6x+5y=15

Divide everything by 5

(6/5)x + y = 3

Move (6/5)x to the other side of the = sign by subtracting

y= (-6/5)x + 3

That's your answer!

Hope it helps!

Answer:

x>-6

Step-by-step explanation:

2x+8>-4

-8      -8

2x>-12

2x/2 > -12/2

x>-6

the open circle is going the way the symbol is going on the graph, which is >.

Answer:

x>-6

Step-by-step explanation:

The cost of the pass, souvenir, and burger are $15, $7.5, and $2.5 respectively

If Ballo brought $29.00 to the state fair and has $4.00 left, the total money spent is $25.00

Taking the sum of the products and equating to $25 will give

x + x /2 + x/6 = 25

10x/6 = 25

10x = 150

x = 15

Hence cost of a pass will be $15

Cost of a  souvenir = 15/2 = $7.5

Cost of a burger = 15/6  = $2.5

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Answer:

0.0038

Step-by-step explanation:

The thousands spot is four away from the decimal so you would put the eight right there, the three in front of it, and fill in the other spots with zeros.

Answer: 10/40 or 1/4

Step-by-step explanation:

Add up all the amount of rolls, so 10+6+4+8+6+6=40

then add the probability of rolling a 3 or 6 = 10

divide that quantity out of the whole

answer is 10/40 and simplified is 1/4

hope it helps

Answer:

the statements are missing can you post them please

Answer:

Step-by-step explanation:

0.799 ________ 0.8

Choices:

Comparing this two, compare 0.799 and 0.800 and if you ignore the decimals, it will be same as comparing 799 and 800.

We know 799 < 800, so apply the same here to get:

Correct choice is C

The distance between the trains after 30 minutes is 28.96 miles.

In 30 minutes, the train traveling at 100 miles per hour traveled 50 miles.

A train traveling at 90 miles per hour has traveled 45 miles in 30 minutes.

It is possible to think of this as a triangle with sides of 50 and 45, and an angle of 35 degrees included.

Take into account a right-angled triangle with x as one of its acute angles.

The cosine formula is then cos x = (adjacent side) / (hypotenuse), where "adjacent side" refers to the side next to angle x and "hypotenuse" refers to the longest side (the side across from the right angle) of the triangle.

By using the cosine law,

c2=a+b+2+cosC or c2=50*45*cos35=2500+2025+4500*0.82=838.82(2dp)c= sqrt 838.82=28.96 miles.

The distance between the trains after 30 minutes is 28.96 miles.

The Complete Question is distance between the trains.

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The ratio will remain constant. Then the value of the variable 'x' will be 2.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The ratio will remain constant. Then the equation is given as,

9/4 = 13.5 / (x + 4)

9(x + 4) = 13.5 (4)

9x + 36 = 54

9x = 18

x = 2

The ratio will remain constant. Then the value of the variable 'x' will be 2.

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The y-intercept of the function is (0, c)

The coefficients b determine the horizontal shift of the parabola compared to the parent function

If a is negative, the parabola opens downward

The y-intercept of the function is (0, c).

This means that when x = 0, the y-value is equal to c.

The constant term c represents the y-coordinate of the point where the parabola intersects the y-axis.

The coefficient b determines the horizontal shift of the parabola compared to the parent function.

The value of b affects the position of the vertex and determines if the parabola is shifted to the left or right.

A positive value of b shifts the parabola to the left, while a negative value of b shifts it to the right.

If a is negative, the parabola opens downward.

The coefficient a determines the shape of the parabola.

If a is positive, the parabola opens upward, and if a is negative, the parabola opens downward. The sign of a determines the direction in which the parabola faces.

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Answer:

I'm pretty sure the answer is B

Step-by-step explanation:

Hope this helped :) Sorry if its wrong

Answer:

b

Step-by-step explanation:

I like to think of it as this:

If the circle is filled, it is \(\leq or \geq \\\) (more)

If not, it's < or >

The arrow points in the direction the line is going.

In this graph, the line is going to the left. So is the symbol.

Answer:

Yes

Step-by-step explanation:

Use synthetic division

2 | 1 -8  14 -4

____2 -12_4__

    1 -6   2 | 0

Thus, \((x^3-8x^2+14x-4)\div(x-2)=x^2-6x+2\:\text{R}0\), so \((x-2)\) is indeed a factor of f(x) since there's no remainder.

Answer:

25

Step-by-step explanation:

\(0.09a=75\\a=\frac{75}{0.09} \\0.03*a=0.03*\frac{75}{0.09} =25\)

To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:

a(b + c) = ab + ac

Applying this property to the given expression:

-2(n-7) = -2 * n + (-2) * (-7)

Simplifying further:

-2(n-7) = -2n + 14

Therefore, the rewritten expression is -2n + 14.

Answer:

D

..............................

Answer: 3.971

Step-by-step explanation: first, you need to set up your addition problem. When adding decimals, you need to line up the decimal points. So you get something like this:

3.85

0.004

0.117

+————-

Then you add vertically and you get your answer of 3.971

Your welcome :)

The value of the given expression ( 3.85+0.004+0.117 ) is 3.971.

The process of increment of any number of quantities or the process of integrating small parts to make a big part is called summation.

first, you need to set up your addition problem. When adding decimals, you need to line up the decimal points. So you get something like this:

 3.850

 0.004

 0.117

+————-

3.971.

Then you add vertically and you get your answer of 3.971.

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Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.

To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:  

Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²

Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.

Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.

Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.

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If Gavin contributes towards a Pension fund (7,5% of his Basic Salary), then his net salary will be reduced by the amount he contributed towards pension fund i.e. R652.5.

1.1 Name of employee is Gavin Pillay. 1.2 UIF stands for Unemployment Insurance Fund. UIF is a benefit to provide short-term relief to workers who lose their jobs, or can't work due to illness, maternity or adoption leave. 1.3 The UIF paid by Gavin is calculated correctly.

Firstly, we need to calculate Gross Salary of Gavin, which is given as: Basic Salary + Overtime + M = R8700 + R1200 + R3201 = R13101Then, calculate total deductions from gross salary.

Total Deductions = PAYE + UIF = R1200 + 87 = R1287Hence, Gavin's net salary = Gross salary - Total Deductions = R13101 - R1287 = R11814Therefore, UIF paid by Gavin is calculated correctly as R87.1.4 This payslip is for the month of May i.e.

31/05/2023.1.5 Basic salary of Gavin = R8700. Deduct 7.5% of his basic salary to calculate his pension fund contribution. Pension Fund Contribution = 7.5/100 x R8700 = R652.5.1.6

Total deductions of Gavin includes PAYE, UIF and pension fund contribution.

Therefore, Total Deductions = PAYE + UIF + Pension Fund Contribution = R1200 + R87 + R652.5 = R1939.5.1.7

Gavin's age can not be determined as his date of birth is not provided.1.8 Address of Gavin's workplace is 21 Halsted Road, Pietermaritzburg?

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The cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.

To find the cheapest price Sam would pay for 10kg of cake for the party, we need to compare the prices of the available cakes and determine the most cost-effective option.

At Mega Mart, a 5kg cake costs $2500.

Therefore, the price per kilogram for this cake is:

Price per kilogram at Mega Mart = $2500 / 5kg = $500/kg.

At the same time, a 2kg chocolate cake costs $1200.

So, the price per kilogram for this cake is:

Price per kilogram for the chocolate cake = $1200 / 2kg = $600/kg.

Now, let's calculate the total price for 10kg of cake from each option:

Total price at Mega Mart for 10kg = $500/kg \(\times\) 10kg = $5000.

Total price for 10kg of chocolate cake = $600/kg \(\times\) 10kg = $6000.

Comparing the two options, we see that the Mega Mart cake is the more cost-effective choice.

Sam would pay a total of $5000 for 10kg of cake from Mega Mart, whereas the chocolate cake would cost $6000 for the same quantity.

Therefore, the cheapest price Sam would pay for 10kg of cake for the party is $5000 from Mega Mart.

In summary, Sam would pay the cheapest price of $5000 to purchase 10kg of cake for the party from Mega Mart.

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Answer:

3t

Step-by-step explanation:

1 you would change +10 to -10 and subtract 10 from 160.

2. you would end up with 50t = 150 after doing that

3. divide 50 by 50 to isolate the t. now t is by itself since 50 divided by 50 is 1.

4. divide 150 by 50 to get 3. the t is still there so it's t=3 or just 3t

lmk if i should explain this better or if you still need assistance

Answer:

25 students

Step-by-step explanation:

Answer:

25 students

Step-by-step explanation:

80% of 80% com by public transportation, it's 64% (0.8 x 0.8)

75% of 64% take the bus, it's 48%  (0.64 x 0.75)

75% of 48% buy monthly passes, it's 36%  (0.75 x 0.48)

0.36x = 9    (nine students buy monthly passes)

x = 25 (students)

Answer:

To calculate how much you would have to deposit today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn, we can use the formula for the present value of an annuity due:

PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)

where:

- PV is the present value of the annuity due (the amount you would have to deposit today)

- PMT is the monthly payment ($75)

- r is the annual interest rate (3.5%)

- n is the number of times interest is compounded per year (12 for monthly compounding)

- t is the number of years (10)

PV = 75 × ((1 - (1 + 0.035/12)^(-12×10)) / (0.035/12)) × (1 + 0.035/12) = **$7,360.47**

Therefore, you would have to deposit **$7,360.47** today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn.