Find the surface area. Round your answer to the nearest tenth if necessary. Just enter the number, not the unit.

The surface area of a rectangular prism is j) 25 sq in, whose dimensions are 3.5 inches long, 2 inches high and 1 inch deep.

To find the surface area of a rectangular prism, we need to add up the area of all six faces. The formula for the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Where l, w, and h are the length, width, and height of the rectangular prism.
Using the given dimensions of the rectangular prism, we can plug in the values into the formula:
Surface Area = 2(3.5 x 2) + 2(3.5 x 1) + 2(2 x 1)
Surface Area = 14 + 7 + 4
Surface Area = 25 sq in.
Therefore, the correct answer is j) 25 sq in. The surface area of the rectangular prism with the given dimensions is 25 square inches.

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y = 2/3 x - 3

Slope m= 2/3

b= -3

Then choice answer is OPTION A)

Answer:

The answer is 39x.

Step-by-step explanation:

Answer:

I believe the word form of the equation would be Three X times five plus eight.

Step-by-step explanation:

Answer:

its hard to explain as a simple answer but i can explain w an example

Step-by-step explanation:

lets say the equation is 2 (3×5), rather than using pemdas and doing 3×5 fist, you take the 2 amd multiply it by the numbers in the paranthesis, so, do that snd u get 2×3 which equals 6 and then u do 2×5 which equals 10 so the equation in the end should be 6+10 which equals 16, and obviously if u use pemdas u would gey a different answer (the answer if u use pemdas is 30)

Answer:

             \(\bold{y+1=5(x+1)}\)

Step-by-step explanation:

\(m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(-1,\,-1)\ \implies\ x_1=-1\,,\ y_1=-1\\(0,\,4)\ \implies\ x_2=0\,,\ y_2=4\\\\m=\dfrac{4-(-1)}{0-(-1)}=\dfrac{5}{1}=5\)

\(y-y_1=m(x-x_1)\)      - point-slope form of Equation of the Line

\(x_1=-1\,,\ y_1=-1\,,\ m=5\\\\equation:\\{}\qquad\qquad y-(-1)=5\big(x-(-1)\big)\\\\{}\qquad\qquad y+1=5\big(x+1\big)\)

The linear inequality answer using interval notation are [10/63, ∞]

To solve the linear inequality 3x+(1)/(3)>=(3)/(2)x+(4)/(7), we need to isolate the variable on one side of the inequality.

Here are the steps to do so:

1. Subtract (3)/(2)x from both sides of the inequality: 3x-(3)/(2)x+(1)/(3)>=(4)/(7)

2. Combine like terms on the left side of the inequality: (3/2)x+(1)/(3)>=(4)/(7)

3. Subtract (1)/(3) from both sides of the inequality: (3/2)x>=(4)/(7)-(1)/(3)

4. Find a common denominator and combine the fractions on the right side of the inequality: (3/2)x>=(12-7)/(21)

5. Simplify the fraction on the right side of the inequality: (3/2)x>=(5)/(21)

6. Multiply both sides of the inequality by the reciprocal of (3/2) to isolate the variable: x>=(5)/(21)*(2)/(3)

7. Simplify the fraction on the right side of the inequality: x>=(10)/(63)

The solution to the inequality is x>=(10)/(63). In interval notation, this is expressed as [10/63, infinity).

So the answer is [10/63, infinity]

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What is cross-section slicing ?

As per the figure, cross-sectional slicing means the division of the three-dimension into half and they are divided into the 3D view thus forming a

rectangular prisms.

All the 3 dimension figures include the cone, rectangle, and triangle. The volume of space that the cross-section of the plane makes tells us about the figure.

A slice parallel to the base of the rectangular prism, would result in two rectangular prisms. These two rectangular prisms would be congruent to each other as it is a perfect slice through the middle of dimension : 3cm x 4cm x 2cm.

A slice perpendicular to the base of the rectangular prism, would result in two rectangular prisms. These two rectangular prisms would be congruent to each other as it is a perfect slice through the middle of dimension : 1.5cm x 4cm x 2cm.

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Answer:

-9

Step-by-step explanation:

\((f^-^1o g^-^1)(-13)\\f^-^1(g^-^1(-13))\\g^-^1(-13) = -7\)

the inverse function is essentially where the inputs and outputs are swapped

\(f^-^1(-7) = -9\)

Answer:

(y2 -y1) / (x2 - x1)

Step-by-step explanation:

use that formula. The answer should be -3/0 which doesn't make sense. Are you sure you have your x values correct? Since in that case it would be a straight line and the equation for that would be x = 6 since it is a straight line up with no y intercept.

Hope that helped

Answer:

Undefined

Step-by-step explanation:

GIVEN :-

A line passes through two points , and their coordinates are given below :-

TO FIND :-

FORMULAE TO KNOW BEFORE SOLVING :-

Lets say there's a line passing through (x₁ , y₁) & (x₂ , y₂).

\(=> Slope \: of \: the \: line = \frac{Rise}{Run} = \frac{y_2 - y_1}{x_2 - x_1}\)

SOLUTION :-

According to the question ,

\(=> Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-8 -(-5)}{6 - 6} = \frac{-8 + 5}{0} = \frac{-3}{0}\) = undefined (∵ Anything divided by 0 is undefined.)

The probability that the 20th elderly is the 5th elderly to suffer from at least four health conditions is not provided.

The binomial distribution is a probability distribution that models the number of successes in a fixed number of independent Bernoulli trials. In this case, the trials involve selecting elderly individuals randomly, and the success is defined as an elderly person suffering from at least four health conditions. By applying the binomial distribution formula, we can calculate the probabilities of specific events, such as the 20th elderly being the 5th to have at least four health conditions or the first elderly being the 15th selected with such conditions. These probabilities help us understand the likelihood of these events occurring based on the given prevalence rate of 3.5% for the elderly population in Trinidad and Tobago. The uniform distribution is also mentioned in relation to the yield of orange trees in an orchard, but further information is required to provide an accurate explanation.

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Answer: 10726.28

Step-by-step explanation:

The distance the plane traveled from point A to point B is  13587.88ft

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given,

The plane maintains a constant altitude of 6975 feet.

Lillian initially measures an angle of elevation of 18° to the plane at point A

Let assume the  distance between A and B should be x.

the y value should be

6975 / y = tan 33

6975 / y = 0.6494

y=6975/0.6494

y=10,740.68ft

6975/ tan 16 = 10740.64 + x

6975/0.2867 = 10740.68 + x

x = 24328.56 - 10740.68

x = 13587.88ft

Hence  the distance the plane traveled from point A to point B is  13587.88ft

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Answer:

x = 24

Step-by-step explanation:

Since all the angles share a common vertex 'U' lying on a straight line QT.

Therefore, sum of all angles formed at U will be equal to 180°.

m∠RUQ + m∠RUS + m∠SUT = 180°

(2x - 4) + (3x + 5) + (2x + 11) = 180°

(2x + 3x + 2x) + (5 - 4 + 11) = 180

7x + 12 = 180

7x = 180 - 12

x = \(\frac{168}{7}\)

x = 24

Therefore, value of x = 24

Answer:

5^43

Step-by-step explanation:

[5² . 5² . 5³. 125 . 125³ ]³ : [25² . 5² . 5]² =

= [5² . 5² . 5³. 5³ . (5³)³ ]³ : [(5²)² . 5² . 5]²

= [5² . 5² . 5³. 5³ . 5^9 ]³ : [5^4 . 5² . 5]²

= [5^19]³ : [5^7]²

= 5^57 : 5^14

= 5^43

Answer:

Step-by-step explanation:4(3x+y)+2(x-5y)+x²=12x+4y+2x-10y+x²

=14x-6y+x²

=x²+14x-6y

The linear regression of the data is given as follows:

y = 25.1x + 150.4.

The estimate for the year in which the profit would reach $482,000 is of:

2019.

To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.

The points for this problem are given as follows:

(0, 147), (1, 167), (2, 209), (3, 239), (4, 250), (5, 267).

Hence the equation is of:

y = 25.1x + 150.4.

The estimate for the year in which the profit would reach $482,000 is x years after 2006, when y = 482, hence:

482 = 25.1x + 150.4.

x = (482 - 150.4)/25.1

x = 13.

2006 + 13 = 2019 -> year.

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Answer:

1:10:3

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

Area of a square is LxL where L is the length of the side

so 6400 = LxL

L = 80

Answer:

  20.086

Step-by-step explanation:

The result is 20.0855.... The digit in the 4th decimal place is 5, so the digit 5 in the third decimal place gets increased to 6 by the rounding.

Any scientific or graphing calculator can do this for you, as can many online calculators, and any spreadsheet. The spreadsheet formula is =ROUND(EXP(3),3).

  e³ ≈ 20.086

Answer:

0.050 brah

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

x = -12

Step-by-step explanation:

Step 1: Subtract 5x from both sides.

3x + 4 - 5x = 5x + 28 - 5x

-2x + 4 = 28

Step 2: Subtract 4 from both sides.

-2x + 4 - 4 = 28 - 4

-2x = 24

Divide both sides by -2.

-2x/-2 = 24/-2

x = -12

Answer:

x= -12

Step-by-step explanation:

Answer:

Percentage of computers working equals:

90%

Step-by-step explanation:

Three of the thirty computers are out of service.

Number of computers working=30-3=27

Total computers=30

Percentage of working computers=

                                                       =  

                                                       = 90%

Hence, Percentage of computers working is:

90%

Answer :

90%

Step-by-step explanation:

3/30 = 10% and the remaining percent is 90%

Answer:

yes

Step-by-step explanation:

Put 6 into x and then slove

Answer:

k=3

Step-by-step explanation:

k-4/3=3

4-3=1

k/1=3

k=3

sorry if this does not make sense.

Answer:

Multiply both side by 3

\( ( \frac{k - 4}{3} = 3) \times 3 \\ k - 4 = 9 \\ \therefore \: k = 13\)

Answer:

B

Step-by-step explanation:

oranges weigh 0.5 and grapefruits weigh 1.5

The required: 13 oranges and 15 grapefruits would weigh 29 pounds.

The correct option is A.

One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.

Let's use a system of equations to solve this problem:

Let's call the weight of an orange "x" and the weight of a grapefruit "y". Then we can write:

10x + 20y = 35 (equation 1)

16x + 10y = 23 (equation 2)

We want to find the weight of 13 oranges and 15 grapefruits, which we can represent as:

13x + 15y

In this case, we can multiply equation 1 by -8 and equation 2 by 15:

-80x - 160y = -280 (equation 1, multiplied by -8)

240x + 150y = 345 (equation 2, multiplied by 15)

Now we can add the two equations to eliminate y:

160x = 65

Solving for x, we get:

x = 65/160

Now we can substitute this value of x back into one of the original equations to solve for y. Let's use equation 1:

10(65/160) + 20y = 35

Simplifying this equation, we get:

13/32 + 2y/4 = 7/2

Multiplying both sides by 32, we get:

13 + 16y = 112

Solving for y, we get:

y = 99/16

Finally, we can substitute these values of x and y into the expression for 13 oranges and 15 grapefruits:

13x + 15y = 13(65/160) + 15(99/16) = 29.0625

Therefore, 13 oranges and 15 grapefruits would weigh approximately 29.0625 pounds, which is closest to answer B, 29 pounds.

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Answer:

Population density = 47 people per square miles

Step-by-step explanation:

From the picture attached,

Coordinates of vertex B → (3.87, 2.76)

Which represents length of vertex A from origin O (AD)= 2.76 units ≈ 276 miles

Length of vertex B from origin O (CD) = 3.87 units ≈ 3.87 miles

Area of rectangle ABCD = Length × Width

                                         = CD × AD

                                         = 387 × 276

                                         = 106812 square miles

Population of Colorado = 5029196 people

Population density of Colorado = \(\frac{\text{Total population}}{\text{Total area}}\)

                                                     = \(\frac{5029196}{106812}\)

                                                     = 47.08

                                                     ≈ 47 people per square miles

The population density at the end of 2010 in people per square mile is 47.

Length of vertex A from origin O (AD)= 2.76 units ≈ 276 miles

Length of vertex B from origin O (CD) = 3.87 units ≈ 3.87 miles

Now  

Area of rectangle ABCD = Length × Width

 = CD × AD

= 387 × 276

= 106812 square miles

And,

Population of Colorado = 5029196 people

So,  the population density is

\(= 5029196 \div 106812\)

= 47

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Answer:

-41

Step-by-step explanation:

5(14-23)+8 ÷ 2

=5(-9)+4

=-45+4

=-41

The solution of the given expression 5(14-23)+8 ÷ 2 is -41.

Usually, simplification involves proceeding with the pending operations in the expression.

Example; 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

Simplification usually involves making the expression simple and easy to use later.

WE have given an expression as;

5(14-23)+8 ÷ 2

Solve the bracket then division;

=5(-9) + 4

=-45+4

=-41

Therefore, the solution of the given expression is -41.

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Answer: Your answer will be Option three

Step-by-step explanation: Because she ate 1/3 the rest of the cake.

Have a brilliant day- your friend Lily ^_^

Answer:

There is no way to answer this question without more information about the amounts of orange juice and lemon-lime soda in Martha's fruit punch the last time.

Step-by-step explanation:

Answer:

Percentage decrease = 28%

Step-by-step explanation:

Original distance = 25 miles

New distance = 18 Miles

Change in distance = 25 - 18

= 7 miles

Percentage decrease = change in distance / original distance × 100

= 7/25 × 100

= 0.28 × 100

= 28%

Percentage decrease = 28%