a triangle has two sides of lengths 4 and 15. what value could the length of the third side be?

Answer: I got (y-8x)(y-7x) by factoring out the factors of 56, that have a sum of -1.

8 and 7 are factors of 56 when you multiply them and to get a sum of -1, 8 should change to negative. 7 + -8 = -1

Answer:

C

Step-by-step explanation:

Right in edge2020

Answer:

6ft 6 in

Step-by-step explanation:

Write a proportion that uses the scale factor 1/16. The numerator corresponds to the dollhouse, and the denominator corresponds to the actual house. So 4 7/8 goes in the numerator, and the variable goes in the denominator.

1/16=478xx=16⋅478x=78

There are 12 in. in a foot, so 78 in. equals 6 ft 6 in.

Answer:

256

Step-by-step explanation:

The sample statistic for the proportion of teens who send text messages to friends is 0.76 or 76%. This result was obtained with a 98% confidence interval and a margin of error of 0.03.

The sample statistic in this scenario is the proportion of teens who said they send text messages to friends. In statistics, a sample proportion (also known as a sample percentage) is a way to express the count of observations in a category as a ratio or a fraction of the total sample size.

In your case, the sample statistic is 0.76, meaning that 76% of the teens in your sample said they send text messages to friends. This result was accompanied by a margin of error of 0.030 for your 98% confidence interval.

A confidence interval gives an estimated range of values which is likely to include an unknown population parameter, the estimated range being calculated from a given set of sample data.

The margin of error represents the range in which we are confident that the true population proportion lies given our sample statistic. With a confidence level of 98%, we are sure that if we repeated our sample many times, 98% of those samples would produce a proportion between 76%- 3% and 76% + 3%.

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Answer:  Our factorized term will be

2xy(2x+5)(2x-3)

Explanation:

Since we have given that

[tex]8x^3y-8x^2y-30xy[/tex]

All we need to do is to factorise this expression.

Here are the steps given below:

[tex]2xy(4x^2-4x-15)[/tex]

By manipulating the terms, we get:

[tex]2xy[(2x)^2-4x+1-16]\\\\2xy[(2x-1)^2-16]\\\\2xy[(2x-1)^2-(4)^2]\\\\2xy[(2x-1-4)(2x-1+4)]\\\\2xy[(2x-5)(2x+3)][/tex]

Alternatively,

By using splitting the middle terms,

[tex]2xy(4x^2-4x-15)\\\\2xy(4x^2-10x+6x-15)\\\\2xy[2x(2x-5)+3(2x-5)]\\\\2xy(2x-3)(2x+5)[/tex]

Hence, our factorized term will be

2xy(2x+5)(2x-3)

Answer with explanation:

Number of cups of peanut that Dana has =10 cups

Number of cups of flour that Dana has =12 cups

Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.

Constraints

⇒x>0, y>0

⇒3 x+y ≤10

⇒2 x+4 y ≤ 12

Maximize(Objective Function):

Z=6 x +7 y

⇒⇒ The most reasonable definition for the variables x and y as Dana wants to maximize her income from selling the dog treats

Option D: Let x represent the number of trays of dog bone treats made and y represent the number of trays of oatmeal dog treats made.

Answer:d

Step-by-step explanation:

The product of matrices[tex]\(B\) and \(A\) is \([12 \, 24 \, 4 \, -2]\).[/tex]

To find the product (BA), we multiply each row of (B) by each column of (A) and sum the products.

Let's calculate the elements of the resulting matrix (BA):

  a. First row, first column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

  b. First row, second column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

  c. First row, third column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

  d. First row, fourth column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

Therefore, the first row of [tex]\(BA\) is \([4.2 \, 4.2 \, 4.2 \, 4.2]\).[/tex]

Similarly, for the second row of (BA):

  a. Second row, first column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

  b. Second row, second column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

  c. Second row, third column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

  d. Second row, fourth column:

[tex]\[ (2)(3) + (8)(0) + (0.6)(2) + (3)(-1) = 6 + 0 + 1.2 - 3 = 4.2 \][/tex]

Therefore, the second row of [tex]\(BA\) is \([4.2 \, 4.2 \, 4.2 \, 4.2]\).[/tex]

Hence, the product [tex]\(BA\) is \([12 \, 24 \, 4 \, -2]\).[/tex]

The order from least to greatest of the given numbers 5x10^4, 7x10^-5, 3x10^-9, 8x10^4 is 3x10^-9, 7x10^-5, 5x10^4, and finally 8x10^4. This is determined by comparing the exponents and coefficients of the scientific notation.

To find the order of 5x10^4, 7x10^-5, 3x10^-9, and 8x10^4 from least to greatest, we have to compare their exponents as they determine the size of the numbers. The exponent indicates how many times the number 10 is used in a multiplication.

Here are these numbers in order from the smallest to the largest:

The smaller the exponent (more negative), the smaller the number. The first is the smallest because it has the most negative exponent (-9), and the last is the largest with the exponent of 4. When exponents are the same, we then compare the coefficients (the numbers before the 'x10'), in this case, 5 is less than 8, so 5x10^4 is smaller than 8x10^4.

Answer:

  $187,500

Step-by-step explanation:

There must be 15,000/3 = 5,000 seats in each section. Then the total revenue can be ...

  5000·$10.00 + 5000·12.50 + 5000·15.00 = 5000·($10 + 12.50 +15.00)

  = 5000·$37.50 = $187,500

Stadium revenue can be $187,500 if all seats are sold.

The total earnings from selling out the stadium with tickets priced at $10.00, $12.50, and $15.00, equally distributed, would amount to $637,500.

The total earnings from selling out the stadium would be $15 x 15,000 = $225,000 for tickets priced at $10.00.

For tickets priced at $12.50, the earnings would be $12.50 x 15,000 = $187,500.

Lastly, for tickets priced at $15.00, the earnings would be $15 x 15,000 = $225,000.

To find the total earnings, add the earnings from each section: $225,000 + $187,500 + $225,000 = $637,500.

Answer :- D region represents the solution to the given system of inequalities.

Explanation:

In the graph we can see the two lines drawn from the given system are intersecting in the fourth quadrant.

⇒The solution of the system lie in the fourth quadrant.

∴region D represents the solution to the given system of inequalities.

Answer:

3.19495491 rounded to the nearest hundredth is 3.19

Step-by-step explanation:

The distance from the skydiving center did Alexa land will be 3.19 km. The formula of trigonometry is used in the given problem.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

From ΔABC it is obtained that;

[tex]\rm Cos A = \frac{AC}{AB} \\\\ COS 20^0 = \frac{AC}{3.4} \\\\ AC= 0.9694 \times 3.4 \\\\ AC = 3.19 \ km[/tex]

Hence the distance from the skydiving center did Alexa land will be 3.19 km.

To learn more about the trigonometry refer to the link;

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