In ΔEFG, f = 400 inches,
m
m∠F=94° and
m
m∠G=33°. Find the length of g, to the nearest 10th of an inch.

Answer:

105

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Answer:

2.  y = 3x + 6

3.  y = 2x

4.  y = 5x + 60

Step-by-step explanation:

Slope-intercept form: y = mx + b

2.

Pick 2 points (0,6) (1,9)

The y increase by 3, and the x increase by 1, so the slope is

m = 3

the y-intercept is located at (0,6)

Our equation is y = 3x + 6

3.

Pick 2 points (0,0) (1,2)

The y increase by 2, and the x increase by 1, so the slope is

m = 2

the y-intercept is located at (0,0)

Our equation is y = 2x

4.

Pick 2 points (0,60) (2,70)

The y increase by 10, and the x increase by 2, so the slope is

m = 10/2 = 5

the y-intercept is located at (0,60)

Our equation is y = 5x + 60

The surface area of the right prism is equal 142 square inches.

Surface area is the sum of the areas of all faces in a solid, herein we find the case of a right prism with six rectangular faces. The area formula for a rectangle is shown below:

A = w · l

Where:

Now we calculate the surface area of the rectangular prism:

A = 2 · (7 in) · (3 in) + 2 · (5 in) · (7 in) + 2 · (3 in) · (5 in)

A = 42 in² + 70 in² + 30 in²

A = 142 in²

The right prism has a surface area of 142 square inches.

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Answer:

The domain is the set of all the input values of a function and the range is the possible output given by the function.

The College Board reported that in a recent year, the mean mathematics SAT score was 514 and the standard deviation was 118. A sample of 65 scores was chosen.

a) The probability that the sample mean score is less than 500 can be found by using the mean and standard deviation of the SAT scores population. The formula to calculate this probability can be found in 3.

c) The 80th percentile of the sample scores is also not mentioned in the search results. To find the 80th percentile, a probability distribution of the sample mean scores must be created and then solved for the desired percentile.

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The length of the third side should be between 5 and 17.

A triangle is a three-sided polygon because it has three edges and three vertices. The most important attribute of a triangle is the sum of its internal angles to 180 degrees.

Given John is measuring a piece of glass to fit in a triangular frame,

the two sides of the frame are 6 cm and 11 cm,

let the third side be x,

Any two sides of a triangle can be added together to have a length larger than the third side. Similar to this, any two triangle sides have length differences between them that are smaller than the length of the third side.

i.e. 11 - 6 < x < 11 + 6

5 < x < 17

Hence the third side should vary from 5 cm to 17 cm.

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The distance traveled by Jasmine and Chelsea is given by the equations of speed and J = 20.4 km and C = 39 km , where T is the time taken and T = 0.6 hours

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the speed of Jasmine be represented as S₁ = 34 km/h

Let the speed of Chelsea be represented as S₂ = 65 km/h

Now , the distance traveled by Jasmine = J

And , the distance traveled by Chelsea = C

The measure of J = measure of C

So , the distances are the same

Let the time taken by both Jasmine and Chelsea be T

Now , Speed = Distance / Time

Substituting the values in the equation , we get

Distance D = 34T

And , distance D = 65T

Now , the total distance D = 59.4 km

So , 34T + 65T = 59.4

On simplifying the equation , we get

99T = 59.4

T = 0.6 hours

Hence ,

The distance traveled by Jasmine and Chelsea are 20.4 km and 39 km respectively

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To find out how much 75 apples would cost, we need to find out the cost per apple and then multiply that amount by 75. If 50 apples cost $25, then the cost per apple is $25/50 = $0.50. So, 75 apples would cost $0.50 x 75 = $37.50.

Answer:

$37.50

Step-by-step explanation:

$25/50=$0.50 per apple

0.50 x 75 = $37.50

Answer:

The unit rate of pages per hour is 39 pages and the unit rate of hour per pages is 1/39 hours

Step-by-step explanation:

We can solve this problem using proportion.

From the question; Leo reads 13 pages in 1/3 hours.

The first part of the question is to find the unit rate for pages per hour.

To find this;

Let x = the number of pages read in 1 hour

13 pages = 1/3 hours

   x         = 1 hour

Cross-multiply

1/3 ×  x = 13 × 1

= 13

Multiply both-side of the equation by 3

 ×  3   =   13× 3

x = 39 pages

Therefore, the  number of pages read in 1 hour is 39 which implies the unit rate for pages per hour is 39

For the second part of the question, we are to find the unit rate for hours per page, that is; how many hours can he use to read a page.

Let x = the number of hour use to read a page

13 pages   =   1/3 hour

1 pages    =  x

Cross-multiply

13x = 1/3

To get the value of x, we will divide both-side of the equation by  1/13

13x ×    =   ×  

x   =   hour

Therefore, the number of hour taken to read 1 page is    , which implies the unit rate of hours per page is  

The final balance of the bank statement was $880.88.  This amount reflects deposits, withdrawals, fees, and interest accrued during the statement period.

The final balance of a bank statement is the amount of money that is in the account after all deposits, withdrawals, fees, and interest have been accounted for during the statement period. To calculate the ending balance, start with the beginning balance and then add any deposits that were made during the statement period. Then, subtract any withdrawals, fees, and interest that were charged during the statement period. The final balance will be the amount that remains after all transactions have been accounted for. In this example, the ending balance was $880.88.

The complete question:

what was the ending balance? a sample bank statement.

A) $597.35

B) $715.26

C) $751.58

D)$880.88.

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A matrix A is said to have only the trivial solution if the only solution to the system of equations, A x = 0, is the zero vector, x = 0.

The number of pivot columns in a matrix is equal to the rank of the matrix. Therefore, if A has only the trivial solution, it has rank 0, and so it has 0 pivot columns. To calculate the rank of a matrix, we can use the following formula: rank(A) = min(m, n) - dim(null A), where m and n are the number of rows and columns of A, respectively, and dim(null A) is the dimension of the null space of A.

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complete question:

Given an m x n matrix A, what is the number of pivot columns for A if it has only the trivial solution?

The function when t=3 to the nearest tenth is 59.4.

The initial amount is a = 475, and the rate of decay r is 50%.

To evaluate the function when t=3, we plug in t=3:

f(3) = 475(0.5)^3 = 475 * (0.125) = 59.375

Rounding to the nearest tenth, f(3) = 59.4.

Therefore, the correct answer is as given above. It could be concluded that the rounded answer to the nearest tenth is 59.4

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Answer: 14

Step-by-step explanation: 42 divided by 3 is 14.

As a fraction: 42/3

Answer:

42÷3= 14?

Step-by-step explanation:

Answer:

21.75x + 25 = 155.50

            -25 = -25

21.75x = 130.50

divide your slope from your variable

x = 6

Answer: 92

Step-by-step explanation: multiply first. 9x10=90. now add the two to the answer we just got. 90+2? 92.

Answer:

Because the residual plot does not show a clear pattern, a linear model is appropriate.

Step-by-step explanation:

Answer: ( 0, -70)

Step-by-step explanation: make a sketch on the x-y plane to see why

The selling price of the bags of almonds that yields a profit of 45% is $420.5

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

The formula for profit is given by:

Profit = [(selling price - cost price) / cost price] * 100%

At the nut farm, the cost price of a bag of almonds is R290. It is sold with a profit of 45%. Hence, substituting:

45% = [(selling price - 290)/290] * 100%

0.45 = (selling price - 290)/290

selling price - 290 = 130.5

selling price = 420.5

The selling price is $420.5

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If the average service rate is 6 customers per hour, and assuming the negative exponential distribution is used to describe the randomness of the service time distribution. The probability that the service time will be less than or equal to 6 minutes is 0.549 [B]

The average service rate of 6 customers per hour corresponds to a mean service time of 1/6 = 0.1 hour = 6 minutes. To find the probability that the service time will be less than or equal to 6 minutes, we need to find the cumulative distribution function (CDF) of the exponential distribution evaluated at 6 minutes. The CDF of the exponential distribution is given by:

F(x) = 1 - exp(-λx)

where,

λ = 1/mean = 1/0.1 = 10. Plugging in x = 6, we get:

F(6) = 1 - exp(-10 * 6) = 1 - exp(-60) ≈ 0.549

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Answer:Simplify the expression.

Exact Form:

35

8

Decimal Form:

4.375

Mixed Number Form:

4  3/8

Step-by-step explanation:

Answer:

5a^2 + 1

Step-by-step explanation:

7a^2 - 4 - 2a^2 + 5

5a^2 + 1

Answer:

5a^2+1

Step-by-step explanation:

Combining like terms in polynomials can go based on the degree it has.

Since 7a^2 and -2a^2 have the same degree as one another, we can just add them, which gives us 5a^2

Now since -4 and 5 dont have any degree, they are liked terms.

Add: -4+5=1

Now when simplified, we get:

5a^2+1

a) A histogram representing coat color for the initial colony your graph is given below.

b) Due to the fact that beach mice, which often have light coast colors, outnumber Oldfield colonizers by a factor of several, making dark coat colors less prevalent as time passes.

a) It's critical to understand the geographic distribution of Oldfield mice prior to the histogram presentation. Santa Rosa Island is classified into two primary geographic locations: inland and coastal, although having various different geographical settings.

Oldfield mice come in a variety of colors; fawn-colored (medium or dark) individuals are typically found in inland regions, whilst lighter or white individuals are found in coastal regions. As a result, Santa Rosa Island should have more colored mice and the beach should have more light-hued mice.

b) Oldfield colonists have predominantly dark coat colors, according to the image. The second histogram shows the coast color of the population following 6000 years of Oldfield and beach mouse hybridization. This is due to the fact that beach mice, which often have light coast colors, outnumber Oldfield colonizers by a factor of several, making dark coat colors less prevalent as time passes.

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The complete question is:

Imagine you have a time machine and are able to go back in same so 6,000 years ago. You are standing on newly formed Santa Rosa Island, a barrier island off the coast of Florida that consists entirely of beach habitate. You see that a large and genetically diverse mainland population of oldfield mice have just colonized the island Using all of the information in this case study, answer the following questions and justify your answers with reasoning Questions ists on the island. Write a brief statement justifying.

1. Draw a histogram representing coat color for the initial colony your graph. Describe the population in terms of the proportion of light, medium, and dark individuals.

2. Assuming that this population successfully colonizes the island and persists until the present, add a histogram of the 21" century island population to your figure (make sure that they can be easily compared to each other) Describe the population in terms of light, medium, and dark individuals. Write a brief statement justifying your graph and answer

The difference between the rate of change of the intervals: 1,2 and 2,4 is; 2

The average rate of change over the intervals (x₁, y₁) and (x₂, y₂) is given by the formula;

Average rate of change = (y₂ - y₁)/(x₂ - x₁)

Thus, the average rate of change between the intervals (1, 2) and (2, 4) is;

Average rate of change = (4 - 2)/(2 - 1)

Average rate of change = 2/1

Average rate of change = 2

That is the difference between the rate of change over the two given intervals.

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It is based on the likelihood of something occurring. The reasoning behind probability is the foundation of theoretical probability. The probability of getting one or two in first and second toss is [tex]\frac{1}{9}[/tex].

Probability is a number that represents the likelihood or chance that an event will occur. Probabilities can be expressed as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

The probability of getting one or two in first toss will be:-

[tex]\frac{1}{6} + \frac{1}{6} = \frac{1+1}{6} = \frac{2}{6} = \frac{1}{3}[/tex] ( as the probability of getting one in first toss is [tex]\frac{1}{6}[/tex] and getting two is also [tex]\frac{1}{6}[/tex]).

Similarly the probability of getting one or two in second toss will be:-

[tex]\frac{1}{6} +\frac{1}{6} = \frac{1+1}{6} = \frac{2}{6} = \frac{1}{3}[/tex]

The total probability of getting one or two in first and second toss will be:-

[tex]\frac{1}{3} *\frac{1}{3} = \frac{1}{9}[/tex]

Hence, Henceprobability is [tex]\frac{1}{9}[/tex].

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The solution to the given system of linear equations is (x, y) = (-1, 1).

A linear equation is defined as an equation in which the highest power of the variable is always one.

The system of equations is given in the question, as follows:

-6y + 2 = 4x

y - 2 = x

Here's how to solve this system of equations using the elimination method:

Multiply the first equation by 2:

-12y + 4 = 8x

Add the two equations:

-12y + 4 + y - 2 = 8x + x

-11y + 2 = 9x

Solve for x:

x = (2 - 11y)/9

Substitute the value of x back into one of the original equations to find y:

-6y + 2 = 4x

-6y + 2 = 4((2 - 11y)/9)

-6y + 2 = (8 - 44y)/9

-54y + 18 = 8 - 44y

26y = 26

y = 1

Use the value of y to find x:

x = (2 - 11y)/9

x = (2 - 11 * 1)/9

x = (2 - 11)/9

x = -9/9

x = -1

Thus, the solution is (x, y) = (-1, 1).

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Answer: $19

Step-by-step explanation:

100% - 80% = 20%

20% ÷100 = 0.2

$95 x0.2 = $19

0r

10% of $95 = $9.50

9.50 x 2 = 19

The correct answer is it will stretch far 59.3 lakh miles .

Given that,

If a billion 10-dollar bills were placed side by side, the total value would be $1.

To find :What amount of dollars would you use? How far would the trail stretch?

A dollar bill is 2.61 inches wide.

The dimensions of a billion dollar bill are 2.61 x 1,000,000,000 inches.

Divide this by 12 to convert to feet: 2.61 x 1,000,000,000 / 12.

Divide that by 5280 to convert it to miles: 2.61 x 1,000,000,000 x 12 /5280.

(Instead of 2.61 inches, use 6.14 inches if you meant to say it from end to end, the long way.)

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Answer:

3.90

hope its help

Step-by-step explanation:

y=3.87

n=d/3.90

Excute. by down interval 34.0

Answer:

0

Step-by-step explanation:

8x + 4x = 0

12x = 0

x = 0/12

x = 0

Step-by-step explanation:

[tex]8x + 4x = 0[/tex]

[tex]12x = 0[/tex]

[tex] \frac{12x}{12} = \frac{0}{12} [/tex]

[tex] \frac{12x}{12} = \frac{0}{12} [/tex]

[tex]x = \frac{0}{12} [/tex]

which is basically 0