x + 7y < 14
– 2y < 10
х

Answer:

8.468579573930919e+40

2.768574091477416e 41

Step-by-step explanation:

Answer:

\(x + 5 \: + \: x \: + 6 \: + x + 7 = 2x - 1 + x + 7 + x + 7 + 2x - 1\)

\(3x + 18 = 6x + 12\)

\(18 = 3x + 12\)

\(6 = 3x\)

\(x = 6 \div 3 = 2\)

\(x = 2\)

Answer:b

Step-by-step explanation:

We know that

To know the number of 1/2 cup portions will make this recipe, we have to transform 10 gallons into cups. It's important to know that 1 gallon is equivalent to 16 cups. So, 10 gallons are 160 cups.

So, if each portion is 1/2 cup, then we would have 320 cups, that is, the cups would double.

Answer:

378 M -small 3 that goes on on top right side of the M.

Step-by-step explanation:

you multiply the 6m x 7m x 9m = 378 m to the 3rd power

Answer:

The correlation is 0.373 . There is a moderate positive linear association between Dollars and Satisfaction.

Step-by-step explanation:

Given the data:

Dollars Satisfaction

70.99 32

76.01 34

67.24 27

69.33 17

67.59 23

74.06 29

76.04 25

72.63 31

68.01 26

67.98 31

Using technology, the Pearson correlation Coefficient calculator ; we can obtain the Pearson correlation Coefficient is 0.3729

Interpretating this value, a correlation Coefficient value of 0.3729 is positive, this means a positive linear relationship exists between the values. Also 0.3729 is closer to 0 than 1 ; this mean that the strength of their relationship is moderate to weak .

Hence, a correlation Coefficient value of 0.3729 means that a weak positive relationship exists between dollar and satisfaction

Answer:

It's A, 6.86 × 10⁴

Step-by-step explanation:

In scientific notation, you have the base, and the 10. The 10 is represented next to an exponent, whereas the base is a whole number and a decimal. If the decimal is moved right, the exponent following the 10 becomes negative. Left, it becomes positive. In this instance, the decimal is being moved left, thus the exponent is positive.

Answer:

A

Step-by-step explanation:

All my work is provided in the attached Screenshot! :)

The perimeter of triangle ABC could be either approximately 27.98 cm or approximately 14.66 cm, depending on the length of AB.

What is the perimeter?

The perimeter is a mathematical term that refers to the total distance around the outside of a two-dimensional shape. It is the length of the boundary or the sum of the lengths of all the sides of a closed figure.

Let's call the length of AB x and the length of BC y.

First, we can use the fact that CD is the height of the triangle to find the area of triangle ABC:

Area of triangle ABC = 1/2 * CD * AB

Substituting the given values, we have:

1/2 * 12 * x = 6x

So the area of triangle ABC is 6x square centimeters.

We can also use the fact that angle BCD is 30 degrees to set up a trigonometric equation involving x and y:

tan(30) = x/y

Simplifying, we get:

y = x/tan(30) = x/(1/√(3)) = √(3) * x

Now we can use the formula for the area of a triangle in terms of its sides:

Area of triangle ABC = 1/2 * AB * BC * sin(B)

where B is the angle between sides AB and BC. In this case, we know that angle BCD is 30 degrees, so angle BCA is 60 degrees, and angle ABC is 90 degrees. Therefore, we have:

Area of triangle ABC = 1/2 * x * √3 * x * sin(60)

Simplifying, we get:

Area of triangle ABC = 1/4 * √3 * x²

Since we already found that the area of triangle ABC is 6x square centimeters, we can set these two expressions equal to each other and solve for x:

6x = 1/4 * √(3) * x²

Multiplying both sides by 4/√3, we get:

24/√(3) * x = x²

Simplifying, we get:

x² - 24/√(3) * x = 0

Using the quadratic formula, we get:

x = (24/√(3) ± √((24/√(3))² - 410)) / 2*1

Simplifying, we get:

x = 16√(3) / 3 or x = 8 √(3) / 3

Since we are looking for the perimeter of triangle ABC, we need to find y as well. Using the equation we derived earlier, we have:

y = √(3) * x

Therefore, we have two possible triangles:

Triangle ABC1: AB = 16 √(3) / 3, BC = 16, and AC = 8 √7 / 3

Triangle ABC2: AB = 8 √3 / 3, BC = 8, and AC = 4 √7 / 3

The perimeter of each triangle is the sum of its side lengths. Therefore:

Perimeter of triangle ABC1 = 16 √3/ 3 + 16 + 8 √7 / 3 ≈ 27.98 cm

Perimeter of triangle ABC2 = 8 √3 / 3 + 8 + 4 √7 / 3 ≈ 14.66 cm

hence, the perimeter of triangle ABC could be either approximately 27.98 cm or approximately 14.66 cm, depending on the length of AB.

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The sum of two dice has a total of 36 possible outcomes. The sum can range from 2 (rolling a 1 on each die) to 12 (rolling a 6 on each die).

To find the probability distribution, we can make a table that lists all the possible sums, the number of ways to obtain each sum, and the corresponding probability.

Sum Ways to obtain Probability

2 1 1/36

3 2 2/36 = 1/18

4 3 3/36 = 1/12

5 4 4/36 = 1/9

6 5 5/36

7 6 6/36 = 1/6

8 5 5/36

9 4 4/36 = 1/9

10 3 3/36 = 1/12

11 2 2/36 = 1/18

12 1 1/36

From the table, we can see that the sums 6 and 9 have the same probability distribution, and would be represented with equal bars on a bar graph

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Answer:

No

No

Yes

Yes

Yes

Brainliest?

Answer:

The fourth term is -18

Step-by-step explanation:

an = -2(an-1) +10

This is the recursive formula

a1 = 6

a2 = -2(a1) +10 = -2(6) +10 = -12+10 = -2

a3 = -2(a2) +10 = -2(-2) +10 = 4+10 = 14

a4 = -2(a3) +10 = -2(14) +10 = -28+10 = -18

problem decoded dude

follow meh

Answer: Greater than 5

Step-by-step explanation:

The quotient of 5 and .5 is 10.

5/0.5 = 10

Whenever you divide a whole number by a fraction, the quotient will always be larger than the whole number

The equation that represents the given graph is: D. y = 2/5x - 3.

The slope-intercept form of the equation of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept.

here, we have,

To find the equation of a line that passes through two points (x1, y1) and (x2, y2), we can use the following steps:

Find the slope (m) using the formula

m = (y2 - y1) / (x2 - x1).

Plug in the slope and one of the points into the equation

y = mx + b to find b.

So, for the line that passes through the points (0, -3) and (5, -1),

the slope is (-1 - (-3)) / (5 - 0)

                 = 2/5,

and the y-intercept can be found by plugging in the slope and the point (0, -3) into the equation y = mx + b:

-3 = (2/5) * 0 + b

-3 = b

Therefore, the equation of the line that passes through (0, -3) and (5, -1) is:  y = (2/5)x - 3

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Answer:28 x 4

Step-by-step explanation: 28 x 4 = 112

Answer: y = 7x

Step-by-step explanation:

y = rate(x)

28 = ?(4)

28/ 4 = 7 so 7 times 4 = 28

y= 7(x)

The statement translated to an algebra equation will give the value of the unknown number w = 11/5

Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.

Let us represent the unknown number with the letter w so that the statement can be written as the equation:

5w - 8 = 3

add 8 to both sides

5w - 8 + 8 = 3 + 8

5w = 11

divide through by 5

5w/5 = 11/5

w = 11/5

Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5

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Answer:

$270

Step-by-step explanation:

Answer:

$120.00

Step-by-step explanation:

She earned $120 because 30% of 400 is 120.

Sorry if I'm wrong.

Please mark me as Brainliest.

The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

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First, you should find:

Probability of NOT getting a tail in 3 coin toss:

After that, you should find the probability of getting at least one tail in 3 fair coins tossed

Answer: 7/8

Answer:

69 feet

Step-by-step explanation:

Now go ace that test!

Answer: 69

Step-by-step explanation:

The z-score of a person who scored 330 on the exam is approximately 2.7.

To find the z-score of a person who scored 330 on the exam, we can use the formula for calculating the z-score:

z = (x - μ) / σ

where:

z is the z-score

x is the raw score (330 in this case)

μ is the mean (195 in this case)

σ is the standard deviation (50 in this case)

Substituting the values into the formula, we get:

z = (330 - 195) / 50

z = 135 / 50

z = 2.7

The z-score of a person who scored 330 on the exam is 2.7.

The z-score measures the number of standard deviations a particular data point is away from the mean.

In this case, a z-score of 2.7 indicates that the person's score of 330 is 2.7 standard deviations above the mean score of 195.

The z-score is useful for comparing data points across different normal distributions or for determining the relative position of a data point within a distribution.

A positive z-score indicates a value above the mean, while a negative z-score indicates a value below the mean.

In this context, a z-score of 2.7 suggests that the person's score is relatively high compared to the average performance on the exam.

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Answer:

Kids = β(0) + β(1) educ + E

Step-by-step explanation:

Kids = β(0) + β(1) educ + E

Where "E" stands in for other factors, such as maybe an error in the estimated age of the mother, an error in the predicted income level, or even an error in religion. And we all know for certainty, that whereever education is being discussed, age and income would always be related.

Answer:

B: Gabriel's

Step-by-step explanation:

The binomials (x - 3) and (x - 10) are factors of the trinomial x² - 13x + 30.

To determine which binomial is a factor of the trinomial x² - 13x + 30, we need to factorize the trinomial completely.

In this case, we need to find two binomials in the form (x - a)(x - b) that satisfy the equation:

(x - a)(x - b) = x² - 13x + 30

So, (x - 3)(x - 10) = x² - 13x + 30.

Therefore, the binomials (x - 3) and (x - 10) are factors of the trinomial x² - 13x + 30.

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Answer:

If x = 3, then y = -2 since the corresponding value of y for x=3 is -2 in the given table.

Step-by-step explanation:

Answer:

  -24

Step-by-step explanation:

\(\sqrt{144}-(16-5\times 2)^2=\sqrt{144}-(16-10)^2=\sqrt{144}-6^2\\\\=12-36=\boxed{-24}\)

Your calculator can be helpful for this.

Probability Without replacement: 1/8287 and probability With replacement: 6/439.

a) Without replacement:

There are 52 cards in a deck, and there are two red aces, so the probability of drawing a red ace on the first draw is 2/52 = 1/26.

After the first card is drawn, there are 51 cards left in the deck, and there are four tens and four jacks, for a total of eight cards that will satisfy the second condition. So the probability of drawing a ten or jack on the second draw, given that a red ace was drawn on the first draw, is 8/51.

After the second card is drawn, there are 50 cards left in the deck, and there are four cards (4, 5, 6) that are greater than 3 but less than 7, so the probability of drawing such a card on the third draw, given that a red ace was drawn on the first draw and a ten or jack was drawn on the second draw, is 4/50 = 2/25.

Therefore, the probability of drawing a red ace, a ten or a jack, and a card between 4 and 6 (inclusive) in succession without replacement is:

(1/26) x (8/51) x (2/25) = 16/132600 = 1/8287

b) With replacement:

If the cards are drawn with replacement, then the probability of drawing a red ace on the first draw is 2/52 = 1/26, the probability of drawing a ten or jack on the second draw is 8/52 = 2/13, and the probability of drawing a card between 4 and 6 (inclusive) on the third draw is 3/13.

Therefore, the probability of drawing a red ace, a ten or a jack, and a card between 4 and 6 (inclusive) in succession with replacement is:

(1/26) x (2/13) x (3/13) = 6/439

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The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

864cm^3 used the proper equation.

Answer:

9

Step-by-step explanation:

E = √ [ 5² + 2×( \(\frac{2}{3}\) )² + ( \(\frac{1}{3}\) )² + 7² + 6 ] = √(25 + \(\frac{8}{9}\) + \(\frac{1}{9}\) + 49 + 6) = √81 = 9

The distance between Basti and Cian is approximately 138.2 ft. Option D

To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.

Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.

Given:

Angle ABC = 50 degrees (angle opposite side AC)

Angle BAC = 60 degrees (angle opposite side BC)

Ali is 150 ft away from Basti (side AB)

We want to find the distance between Basti and Cian, which is side BC.

Using the Law of Sines, we have:

BC/sin(50) = AB/sin(60)

Substituting the known values:

BC/sin(50) = 150/sin(60)

To find BC, we can rearrange the equation:

BC = (150/sin(60)) * sin(50)

Using a calculator to evaluate the expression:

BC ≈ 138.2 ft

Option D is correct.

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