If <2 = 75 degrees and <3 and 30 degrees, find <3 and <4.

Answer:

B y= 2/5x

Step-by-step explanation:

If y is red balloons and there are 2 red for every 5 balloons, multiplying 2/5 by the total number of balloons gives you how many red balloons you have

The shaded region shows the possible set of solutions.

inequality : An inequality is used to make unequal comparisons between two expressions or numbers.

expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.

equation : A mathematical equation is used to equate two expressions.

Given is the inequality as -

y > -3x + 2

The inequality is -

y > -3x + 2

Refer to the graph attached. It shows the possible set of solutions under the shaded region.

Therefore, the shaded region shows the possible set of solutions.

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Answer:\(6x^{2} - 16x - 70\)

Step-by-step explanation: Use the formula \((\frac{b}{2})^{2}\)   in order to create a new term in order to find the perfect square trinomial.

The coordinates of point B are (-3, 17).

The given equation is M = I₁ + I₂ = 31 + 32.

Now let's substitute in our given values:

(-2, 2) = ((-5 + x₂) / 2, (-5 + 2 + y₂) / 2)

We will now set up two equations to solve for our two unknowns, x₂ and y₂:

Equation 1: (-5 + x₂) / 2 = -4

Multiply both sides by 2:

-5 + x₂ = -8

Add 5 to both sides:

x₂ = -3

This gives us the x-coordinate of point B.

Equation 2: (-5 + 2 + y₂) / 2 = 7

Simplify:

(-3 + y₂) / 2 = 7

Multiply both sides by 2:

-3 + y₂ = 14

Add 3 to both sides:

y₂ = 17

This gives us the y-coordinate of point B.

Therefore, the coordinates of point B are (-3, 17).

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Answer:

A graph of the data that was collected is shown: A line graph with Number of Months on the x axis and Number of Users, in thousands, on the y axis. The x axis has a scale from 0 to 36 with an increment of 4. The y axis has a scale of 0 to 60 with increments of 6. A straight line connecting 0, 0 and approximately 36, 54 is drawn. What can be interpreted from the range of this graph? v .

Answer:

c

Step-by-step explanation:

Answer:

79600*0.25

Step-by-step explanation:

common sense

25 percent is to multiply 0.25

Answer:

1. slope = -x, Y-intercept = 2

2. slope = -1/3,Y-intercept = 2

3. slope = 5/2, Y-intercept = 2

4. slope = -2, Y-intercept = 1

5. slope = -3/4, Y-intercept = 2

Step-by-step explanation:

To find the slope and y-intercept you have to solve the equation. You only have to solve for 2 and 3. 1, 4, and 5 already have the equations solved. For questions 1, 4, and 5 the first number is the slope and the second number is the y-intercept. For questions 2 and 5 you have to solve the equations. You have to bring the y to the right side of the equation. to do that you subtract the y. Then you have to bring the number that was already on the right side of the equation to the left side. To do this you also have to subtract that number to bring it to the other side. Now you have to get the y by its self, and to do this you divide the equation. You divide both sides of the equation. Then you can get the slope and y-intercept.

Answer: please provide info

Step-by-step explanation:

There is no information provided of the swimming pool's depth, length or width.

However, to solve this, just find depth x length x width

then, take that answer and divide it by 20.

Answer:

3/2

Step-by-step explanation:

Simplify the following:

((4 + 1/5)×5)/14

((4 + 1/5)×5)/14 = ((4 + 1/5)×5)/14:

((4 + 1/5)×5)/14

Put 4 + 1/5 over the common denominator 5. 4 + 1/5 = (5×4)/5 + 1/5:

(((5×4)/5 + 1/5) 5)/14

5×4 = 20:

((20/5 + 1/5)×5)/14

20/5 + 1/5 = (20 + 1)/5:

(((20 + 1)/5)×5)/14

20 + 1 = 21:

(21/5×5)/14

21/5×5 = (21×5)/5:

((21×5)/5)/14

((21×5)/5)/14 = (21×5)/(5×14):

(21×5)/(5×14)

(21×5)/(5×14) = 5/5×21/14 = 21/14:

21/14

The gcd of 21 and 14 is 7, so 21/14 = (7×3)/(7×2) = 7/7×3/2 = 3/2:

Answer:  3/2

The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.

Given:

Total number of seniors = 200

Number of seniors in the band = 32

Number of seniors in the band or on the honor roll = 64

Let's calculate the probability using these values:

Probability = Number of seniors in both categories / Total number of seniors

Probability = 64 / 200

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:

Probability = (64 ÷ 8) / (200 ÷ 8)

Probability = 8 / 25

Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

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Answer:

\(\huge\boxed{\sf 10}\)

Step-by-step explanation:

\(\sf =q + f \div \ e - r\\\\Given \ that \ q = 6 , f = 10, e=2 , r = 1\\\\= 6 + 10 \div 2 -1\\\\According \ to \ DMAS \ rule\\\\We'll \ divide \ first\\\\= 6 + 5 - 1\\\\Now \ go \ from \ left \ to \ right\\\\= 11 - 1 \\\\= 10\\\\This \ is \ the \ required\ answer.\\\\\rule[225]{225}{2}\)

Hope this helped!

Answer:

B

Step-by-step explanation:

surface area is finding the area of each portion of the net and adding them all up together. all the triangles are congruent, so we can start by finding the area of one of them and multiplying that area by 4 (since there are 4 triangles in this net). the formula for the area of a triangle is 1/2 bh. this is (1/2)(5.95)(5.1) which equals approximately 15.17. 4 multiplied by this is 60.68. the area of the square is length multiplied by width, which is 26.01. 60.68+26.01=86.69, which is the closest to answer choice B.

Answer:

i know this is not the option but i did the maths and the correct answer

the answer is 96.815 you dont have to give me brainliest tho since it was not an option but i got 96.815 anyways

Step-by-step explanation

1.  5.95*5.95= 35.4025

2. but since it is a triangle it should be devided by 2 which is 17.70125

3. since there are 4 triangles you have to multiply it by 4 which is 70.805

4. 5.1*5.1=26.01

5. 26.01+70.805= 96.815

The sum of the interior angles of a quadrilateral is 360°. We can use this fact to find the measures of the other two angles.

Let x be the measure of one of the two angles in the 2:3 ratio. Then, the measure of the other angle is 3x (since the two angles are in a ratio of 2:3).

We know that:

252° + 63° + 2x + 3x = 360°

Simplifying this equation, we get:

5x + 315° = 360°

5x = 45°

X= 9°

Therefore, one of the angles has a measure of 2x = 18°, and the other angle has a measure of 3x = 27°.

Answer:

The 4 angles of the quadrilateral are : 252, 63, 18 and 27

Step-by-step explanation:

252 + 63 + 2x + 3x = 360

315 + 5x = 360

5x = 45 ( 360-315 )

x = 9

Therefore, 1st angle = 2x = 18

2nd angle = 3x = 27

Well, the only absolute value of -8 is 8.

Answer:

8

Step-by-step explanation:

Any absolute value of a negative, is the same number but in positive form.

Ex : I-6I = +6

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

The mean absolute deviation (MAD) of the data set is equal to 180.625.

The mean absolute deviation of a data set is to find the average distance of each observation of the data set and the mean of the data set.

Mean absolute deviation = 1/n ∑ absolute value of (xi - x bar)

x bar =average value of the given data set

n= total number of data set

xi = data value in a given set

According to the question,

x bar = sum of all the data set / total number of the data set

x bar = 2052/16 = 128.25

Substitute the value in the formula, we have

Mean absolute deviation = 2890/16 = 180.625

Hence, the Mean absolute deviation of the data set is equal to 180.625.

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As per the given data, the Mean absolute deviation (MAD) of the data set is equals to 17.5

The term Mean absolute deviation in math is defined as the average distance of each observation of data set  and the mean of the data set.

Here we have given the following data.

=> 13, 0 , 14 , 36, 18, 9

Then the mean of the data is calculated as,

=> (13 + 0 + 14 + 36 + 18 + 9)/6

=> 90/6

=> 15

Now, we have to the Substitute the value in the formula, we have

And then the Mean absolute deviation is calculated as,

=> (90 + 15)/6

=> 105/6

=> 17.5

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Given that a store purchased an item for $90.

They want a profit of 40% of their costs.

So, 40% of their costs = 40% of $90

= 40/100 * 90

= $36

Let y be the minimum selling price

So, from the question we c an say thst:

y = $(90 + 36)

y = $126

Therefore the minimum selling price of $126 would give the profit of 40% of their cost.

Both the equations and the graph are plotted.

The connected graph is shown in the image.

A graph demonstrates the relationship between variables through a visual representation of data or information. In order to present and analyse data in a way that is simple to comprehend and interpret, graphs are used in many disciplines, including the subject, science, engineering, and business.

Let x =green and y = carrots

The given sentences are transformed into equations, and the solution is then plotted.

The formula for a salad that is prepared so that the ratio of twice as many greens to carrots is at least 3 is

2x-y ≥ 3

The equation for the amount of greens plus twice as much carrots equals less than four.

x+2y < 4

Both the equations and the graph are plotted.

The connected graph is shown in the image.

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The complete question is attached below,

The graph 3 is the graph that represent the system of equations.

What is a Graph?

A graph demonstrates the relationship between variables through a visual representation of data or information. In order to present and analyse data in a way that is simple to comprehend and interpret, graphs are used in many disciplines, including the subject, science, engineering, and business.

Let x =green and y = carrots

The given sentences are transformed into equations, and the solution is then plotted.

The formula for a salad that is prepared so that the ratio of twice as many greens to carrots is at least 3 is

=> 2x-y ≥ 3

The equation for the amount of greens plus twice as much carrots equals less than four.

=> x+2y < 4

Both the equations and the graph are plotted.

The connected graph is shown in the image.

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The lengths of the other two sides of the right triangle are 24m and 25m, respectively.

Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.

According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we have the equation:

\(7^2 + x^2 = (x + 1)^2\)

Expanding and simplifying this equation, we get:

\(49 + x^2 = x^2 + 2x + 1\)

Now, we can cancel out \(x^2\) from both sides of the equation:

49 = 2x + 1

Next, we can isolate 2x:

2x = 49 - 1

2x = 48

Dividing both sides by 2, we find:

x = 24

Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.

Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.

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Answer:

Yes , the number should be even and divisible by 5 and then it can be divisible by 10 as well

The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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The coordinates of pre-image point H is (c) (3, 2)

The graph represents the given parameter

On the graph, we have the coordinate of point H' (i.e. the image) to be

H' = (-3, -2)

The transformation rule is given as

Rotation 180° about the origin

Mathematically, this is represented as

(x, y) = (-x, -y)

This implies that:

H = (3, 2)

So, the coordinates are (3, 2)

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a. P(A'UB) is 0.885106

b. The probability that an order requests an optional high speed processor, given that the order requests extra memory is 0.776397.

c. The probability that an order requests extra memory, given that the order DOES NOT requests an optional high speed processor is 0.123711

The probability of an occurrence is a number used in science to describe how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.

To find the probabilities:

a. A"UB = 510 + 72 + 250 = 832

Total outcomes = 940

The required probability is 832/940 = 0.885106

b. The required probability is 250/250 + 72 = 0.776397

c. The required probability is 72/510 + 72 = 72/582 = 0.123711

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Answer:

Step-by-step explanation:

A = 1/2 b h

A2 = b h

b = 2A

      h

yikes i messed up like bad

Domain of the function represented by the graph of a quadratic function y = \(x^2\) – 4 with a minimum value at the point (0,-4) is all real numbers.

The correct answer is option D.

To determine the domain of the quadratic function y = \(x^2\) - 4, we need to consider the x-values for which the function is defined. Since a quadratic function is defined for all real numbers, the domain of this function is "all real numbers."

Let's analyze the given function and its graph to understand why the domain is "all real numbers."

The function y =  \(x^2\) - 4 represents a parabola that opens upward, which means it extends infinitely in both positive and negative x-directions. The vertex of the parabola is at the point (0, -4), indicating that the minimum value of the function occurs at x = 0.

Since there are no restrictions or limitations on the x-values for which the function is defined, the domain is unrestricted and encompasses all real numbers. In other words, the function can be evaluated and calculated for any real value of x, whether it is a negative number, zero, or a positive number.

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Answer:

19) x=4

20) x=7

21) x=15.5

22) x= -7

23) x=9

24) x=5

25) x=-6 (Im pretty sure)

26)x=4

27)x=10

28) x=-9

Step-by-step explanation:

Answer:

  (a) 68.3%

  (b) 764 students

  (c) 49.87%

  (d) 1 student

Step-by-step explanation:

You want to know various percentages and numbers of students in different test score ranges when 800 students have scores normally distributed with a mean of 75 and a standard deviation of 7.

The range 68 to 82 is one standard deviation either side of the mean: 75±7. The "empirical rule" tells you about 68% of students will have a test score in this range. An appropriate calculator gives the fraction as 68.3%.

The range 61 to 89 is 2 standard deviations either side of the mean: 75±2·7. The "empirical rule" tells you about 95% of the 800 students will have a test score in this range. An appropriate calculator puts the number slightly higher than 760 students: 764 students.

The range 54 to 75 is 3 standard deviations below the mean. The empirical rule tells you about 99.7% of the group falls inside 3 standard deviations. Half this number is below the mean, about 49.85% An appropriate calculator puts the number slightly higher: 49.87%.

The scores at 96 and above are more than 3 standard deviations above the mean. As in part (c), the number in that tail are given by the empirical rule as about 0.15%, or 1.2 students. An appropriate calculator puts the number in the tail of the distribution at a slightly lower value. Hence, the estimated number of students with a score at least 96 is 1 student.

__

Additional comment

The numbers in this question seem to be chosen so you can use the empirical rule to find the answers. That rule will make the answers slightly different: 68%, 760 students, 49.85%, 1 student.

a) The percentage of a class has a test score between 68 and 82 is; 68.269%

b) The number of students that will score between 61 and 89 is; 764 students

c) The probability that a student chosen at random has a test score between 54 and 75 is; 0.49865

d) The number of students that have a test score greater than or equal to 96 is; 1

We are given;

Mean; μ = 75

Standard deviation; σ = 7 ;

a) We have to find percentage of a class has a test score between 68 and 82. This is expressed as; P(68 < X < 82)

P(68 < X < 82) = P(X < 82) - P(X < 68)

The formula for z-score is;

z = (x' - μ)/(σ)

Thus;

P(68 < X < 82) = P(Z < (82 - 75)/7) - P(Z < (68 - 75/7)

P(-1<x<1) = 0.68269 = 68.269%

b) The number of students that will score between 61 and 89 is;

P(61 < X < 89)

z -scores;

z = (61 - 75)/7

z = -2

z = (89 - 75)/7

z = 2

p-value between the two z-scores from online calculator is;

p = 0.9545

Number of students here = 0.9545 * 800 ≈ 764 students

c) The probability that a student chosen at random has a test score between 54 and 75;

P(54 < X < 75)

z -scores;

z = (54 - 75)/7

z = 3

z = (75 - 75)/7

z = 0

p-value between the two z-scores from online calculator is;

p = 0.49865

d) We want to find out how many students have a test score greater

than or equal to 96.

z = (96 - 75)/7

z = 3

p-value from z-score calculator gives;

p = 0.00135

Thus;

Number of students in this regards = 0.00135 * 800 ≈ 1

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Answer:

-1, 2.5, 20, 21

Step-by-step explanation:

16 plus 4 is 20

2.5

7-8 is -1

21