Equivalent expression

We have inequality. So, we have to take a test point (0,0) and as the statement is true therefore Graph will shade towards the test point (0,0).

2(0)+3(0) ≤ 30 => 0≤ 30

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each adult.

First we make inequality according to question.

In a family number of children 3

Charge for 1 child = $y per hour

Charge for 3 children = 3y

Charge for 1 Adult = $x per hour

Charge for 2 adults = 2x

If the family does not want to spend more than $30 an hour at health club.

2x+3y≤30

Where, x and y should be greater than 0.

x≥0 and y ≥0

Now we make the graph of this inequality.

First we take equality of equation and then find x and y table.

2x+3y=30

x        y

0        10

6        6

15      0

Here we have inequality. So, we have to take a test point (0,0)

2(0)+3(0) ≤ 30 => 0≤ 30

This statement is true. So, Graph will shade towards the test point (0,0)

Please see the attachment for graph:

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Answer:

1/3

Step-by-step explanation:

Using trigonometric functions, we can  find a side length of a right triangle with an angle and a side.

Trigonometric ratios are the ratios of a right triangle's sides. The sine (sin), cosine (cos), and tangent (tan) are three often used trigonometric ratios. There are other trigonometric ratios which are reciprocals of these ratios.

Trigonometric ratios can be computed either using the provided acute angle or by calculating the ratios of the right-angled triangle's sides.

You can determine the hypotenuse by dividing the length of the side by sin(θ) if you have an angle and the side opposite to it. Alternatively, to find the length of the side next to the angle, divide the length by tan(θ).

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The answer to the given that is 7x 5 2x question is  70

Explanation: In this case the answer is calculated by performing the operations in the order they are written. First, we multiply 7 and 5, which gives us 35. Then, we multiply 2 and x, which gives us 2x. Finally, we add 35 and 2x, resulting in 70

Multiplication is an arithmetic operation that involves multiplying two numbers together to produce a third number. It is usually represented by the multiplication sign (×) and is one of the four basic operations in mathematics. Hence the correct answer is 70.

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Answer:

y = (1/4)(x - 6)² + 8

Step-by-step explanation:

x² - 4y - 12x + 68 = 0

put in standard form

-4y = -x² + 12x - 68

4y = x² - 12x + 68

y = (1/4)(x² - 12x + 68)

use 1/2 the x coefficent, (-12/2 = -6), as the complete the square term

y = (1/4)(x - 6)² + 68/4 - (1/4)(-6)²

y = (1/4)(x - 6)² + 17 -9

y = (1/4)(x - 6)² + 8

Answer:

The answer would be (6,8)

Step-by-step explanation:

You welcome fill in 6 then 8 .

1) 1000 AA Batteries in one Case.

2) 10,000 AA Batteries in One carton.

3) 100,000 AA Batteries in 10 cartons.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The Store sells AA batteries in the order below:

⇒ 10 batteries in 1 packages

⇒ 10 packages in 1 box

⇒ 10 boxes in 1 case

⇒ 10 cases in 1 Carton

1) We want to determine how many AA batteries are in 1 Case;

Using Multiplication

Number of AA Batteries in 1 Case = 10 Batteries × 10 package × 10 box

                                                    = 1000 AA Batteries

2) We want to determine how many AA batteries are in 1 Carton;

From Part (a),

There are 1000 AA Batteries in 1 Case.

Since, There are 10 Cases in 1 carton.

Number of Batteries in 1 carton = 10 × 1000

                                                 = 10,000 AA Batteries

3) 10 Cartons

⇒ 1 carton = 10000 AA Batteries

Therefore, We get;

⇒ 10 Cartons = 10 × 10000

                    = 100,000 AA Batteries

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Using the Pythagorean Theorem (a2 + b2 = c2), plug in the known side lengths to solve for the two unknown sides of an acute triangle.

1. Identify the two known side lengths of the triangle.

2. Plug the known side lengths into the Pythagorean Theorem equation (a2 + b2 = c2).

3. Solve for the two unknown sides of the triangle.

4. The two unknown sides are the lengths of the missing sides of the triangle.

5. To solve for the unknown side lengths, first, calculate the hypotenuse (the longest side) by finding the square root of the sum of the squares of the two shorter sides.

6. Then, calculate the shorter sides by subtracting the square of the hypotenuse from the sum of the squares of the two shorter sides.

7. Finally, use the Pythagorean Theorem to calculate the missing side lengths.

8. The two missing side lengths will be the unknown side lengths of the triangle.

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The p-value of the test statistic is p-value = 0.006. The null hypothesis will be rejected at 5% level of significance.

A two-tailed test in statistics determines if a sample is more than or less than a specific range of values by using a two-sided critical area of a distribution. It is employed in testing the null hypothesis and determining statistical significance. The alternative hypothesis is accepted in place of the null hypothesis if either of the critical areas apply to the sample under test.

A two-tailed test in statistics determines if a sample is greater or less than a range of values by using a two-sided critical area of a distribution.

It is employed in testing the null hypothesis and determining statistical significance.

The alternative hypothesis is accepted in place of the null hypothesis if either of the crucial areas apply to the sample under test.

Conventionally, two-tailed tests with a 2.5% cutoff on each side of the distribution are employed to evaluate significance at the 5% level.

How to calculate the p-value?

Determine the level of relevance, sometimes referred to as the level, in step one. Assume 0.05 if it isn't specified. Step 2: Evaluate the level of significance in relation to the p-value. Make the conclusion that supports the possible change and reject the null hypothesis if the p-value is lower.

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bring the variable to the left side and bring all the remaining values to the right side.

Image search results for Write the inequality and solve it. -17 -14 ■ -21 -2 -9 -15

To fix an inequality, use these steps:

Step 1: Remove fractions by multiplying all terms by the fractions’ least common denominator.

Step 2 Simplify the inequality by merging like words on either side.

Step 3 Subtract or add amounts to get the unknown on one side and the digits on the other.

In algebra, the letter “x” is frequently used to represent an unknown value. It is referred to as a “variable” or “unknown” at times. X is a variable in x + 2 = 7, but we can deal with it.

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Yes Jerome's sister is correct.

The answer to the table is given below.

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given here:

Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.

Drink mix     3  6    9   12   15

water cups   8  16   24  32  40 

we know this is true because to find a ratio equivalent to another we have to multiply the two quantities, by the same number.

Hence, The complete table is shown above.

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Answer

The answer is 567

Step-by-step explanation:

189*3=567

Answer:

POKEMON YEAH!

Okay, so you first want to take 2485, and subtract it from 4500, because that is the amount of money he has already collected.

4500 - 2485 = 2015

Now you need to find out how many time you can multiply 155, to get 2015, or higher. In this case, I am just gonna divide:

2015/155 = 13

It will take him 13 more weeks to have enough for the Pokemon cards!

Step-by-step explanation:

Hope it helps! =D

The slope-intercept forms for the graphs 5, 6, 7, and 8 are - y = (-1/2)x + 6, y = 50x + 150, y = (10/3)x + 20, and y = 25x respectively.

What is slope-intercept form?

The line with m as the slope, m and b as the y-intercept is the graph of the linear equation y = mx + b. The values of m and b are real integers in the slope-intercept form of the linear equation.

First, find out the y-intercept(s).

The y-intercepts are the starting point of the lines in the graph.

For graph number 5, the starting point is 6.

For graph number 6, the starting point is 150.

For graph number 7, the starting point is 20.

For graph number 8, the starting point is 0.

Now find the slopes.

For graph number 5, the line goes down 1 unit and moves to the right 2 units, so the slope would be -1/2 (rise/run).

For graph number 6, the line goes up 100 units and moves to the right 2 units, so the slope would be 100/2 (rise/run) or 50.

For graph number 7, the line goes up 10 units and moves to the right 3 units, so the slope would be 10/3 (rise/run).

For graph number 8, the line goes up 25 units and moves to the right 1 unit, so the slope would be 25/1 (rise/run) or 25.

Then plug into the slope-intercept form : y = mx + b.

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

Graph 5: y = (-1/2)x + 6.

Graph 6: y = 50x + 150.

Graph 7: y = (10/3)x + 20.

Graph 8: y = 25x + 0 or y = 25x

Therefore, the equations are - y = (-1/2)x + 6, y = 50x + 150, y = (10/3)x + 20, y = 25x.

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Answer: it is y=2.26x3.02^x

Step-by-step explanation:

Option D is correct.

An exponential regression is the process of finding the equation of the exponential function that fits best for a set of data.

[tex]y = ae^{bx}[/tex]

According to the question

We have a data.

Let the exponential regression equation be [tex]y = ae^{bx}[/tex]

Take two values of  x and y  from the given data for finding the value of a and [tex]e^{b}[/tex].

substitute y = 0.025 and x = -4 in [tex]y = ae^{bx}[/tex] we get

[tex]0.025 = ae^{-4b}...(1)[/tex]

similarly ,substitute y = 0.075 and x = -3 in [tex]y = ae^{bx}[/tex] we get

[tex]0.075 = ae^{-3b} ....(2)[/tex]

from equation 1 and 2

[tex]\frac{0.025}{0.075} = \frac{ae^{-4b} }{ae^{-3b} }[/tex]

⇒[tex]\0.333 = e^{-b}[/tex]

⇒[tex]ln(o.33) = -b[/tex]

⇒[tex]-(1,1086) = -b[/tex]

⇒ b = 1.1086

Therefore,

[tex]e^{b} = (2.718)^{1.1086} = 3.0041[/tex]

and substitute b = 1.1086 and [tex]e^{b} = 3.0041[/tex] in either equation 1 or 2, we get

a = 2.2

Thus, the exponential regression equation will be

[tex]y = (2.2)3.041^{x}[/tex]

Hence, option D is the correct one.

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Answer:

8u - 20

Step-by-step explanation:

Since the circumference of the base is given, the radius can be calculated as r = (circumference / 2π) and the volume as V = πr2h. The volume of the cylinder is therefore approximately 628.3 cubic centimeters.

1. Calculate the radius of the base of the cylinder. The circumference of the base is 167 centimeters. Rearranging this gives

r = C / 2π. Therefore,

r = (167 / 2π)

= 26.6 cm.

2. Calculate the volume of the cylinder. The formula for volume is V = πr2h. Therefore,

V = π(26.6)2 * 5

= 628.3 cubic centimeters.

or

r = (167 / 2π) = 26.6 cm

V = π(26.6)2 * 5 = 628.3 cubic centimeters

To calculate the volume of the cylinder, the radius of the base must first be calculated. This can be found by using the formula C = 2πr, where C is the circumference and r is the radius The circumference of the base of the cylinder is 167 centimeters, so the radius can be calculated as r = (167 / 2π) = 26.6 cm. The volume of the cylinder can then be calculated using the formula V = πr2h, where h is the height of the cylinder. In this case, the height is 5 centimeters, so the volume is V = π(26.6)2 * 5 = 628.3 cubic centimeters. This is the closest measurement to the volume of the cylinder.

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Answer:

25%

Step-by-step explanation:

she earned $1,000

she spent $250

250/1000 = 0.25

0.25 x 100 = 25%

Answer:

[tex] \frac{250}{1000} \times \frac{100}{1} [/tex]

[tex] = 0.25 \times 100 \\ 25\%[/tex]

Answer:

-9.333333333333333333333

Step-by-step explanation:

Answer-9 1/3

Step-by-step example

first, multiply 7x4 over 3 then next to that cross multiply that with 28 over 3

then simply that which’s gets to 28 over 3 then you get your answer 9.3333 then simplify that and you get 9 1/3

Answer:

C Because thats the only thing there is no doubt

Answer:

angles remain congruent

Step-by-step explanation:

all transformations, except dilations, do not change lengths of sides or angle measures

Answer: 348

Step-by-step explanation: 12*29 = 348, which is the largest multiple less than 350.

Answer:

24 + x + 24

X is 0

Answer: substract 24 from both sides

then x = 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

At x = -2, the h is calculated using the second piece::

At x = 0, the g is calculated using the first piece:

The value of the given expression is:

Answer:

Honor code states you can't post questions from tests. Sorry.

Step-by-step explanation:

Answer: It is a straight line

Step-by-step explanation:

Answer:

well i know 3 is the lowest but i don't know how high it goes.

Range is where the graphs highest and lowest.

Step-by-step explanation:

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The probability for all five answers is greater than 0.

The normal distribution is a type of continuous probability distribution, and probability can never equal 0 for a continuous distribution. The probability of a particular value (in this case, 8) is the area under the normal curve at that point. Since the area under a continuous distribution is always greater than 0, the probability of a specific value (A) is not 0.

The probability of a range of values (D) is calculated by subtracting the area under the normal curve to the left of the lower value, from the area under the normal curve to the right of the higher value. This calculation would produce a value greater than 0.

The probability of values greater than a given number (B) is calculated by subtracting the area under the normal curve to the left of the given number, from the area under the normal curve to the right of the given number. This calculation would produce a value greater than 0.

The probability of values less than a given number (C) is calculated by subtracting the area under the normal curve to the right of the given number, from the area under the normal curve to the left of the given number. This calculation would produce a value greater than 0.

Finally, the probability of values less than one number or greater than another number (E) is calculated by subtracting the area under the normal curve to the left of the lower number, from the area under the normal curve to the right of the higher number. Again, this calculation would produce a value greater than 0.

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Answer:

u ≈ 11

Step-by-step explanation:

10² = u² - 2(5)(2)

100 = u² - 20

120 = u²

u = [tex]\sqrt{120}[/tex]

u = [tex]\sqrt{4}[/tex][tex]\sqrt{30}[/tex] = 2[tex]\sqrt{30}[/tex] which is 10.95