Which value of the variable is a solution of the inequality t > -5

The whisker plot with the data provided should includes a range that goes from 7 to 49, and a median of 23.

A whisker plot, also known as a box plot, is a graphical representation of a data set that shows the distribution of the data along with some important statistical information, such as the median, quartiles, and outliers. It is particularly useful for comparing the distribution of different data sets or for identifying potential outliers in a data set.

To create a whisker plot, follow these steps:

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Answer:

is the equation of the line:

y=-3x

Answer:

Some magnets have two north poles

Answer:

Step-by-step explanation:It must be an equal ratio- 2:3:7 = n:n:112

Now, to find the other numbers (n) in the ratio, we have to find the relationship between the two proportions.

To get from 7 to 112, we must multiply by 16. This is the relationship.

So, we must multiply both, the walnut and raisin cookies by 16 also.

2 x 16 = 32 = Raisin

3 x 16 = 48 = Walnut

Already known: 112 = Pinwheel

Now that we have all the data, we can make the ratio.

Raisin : Walnut : Pinwheel

32 : 48 : 112

Hope this helps! :)

Answer:

2:3

Step-by-step explanation:

So OJ is 600ml and AJ is 900ml

we can divide both by 100 so

600÷100= 6

900÷100= 9

Ratio is now 6:9 but we can simplify it more by 3

so 6÷3=2 and 9÷3=3

So therefor ratio is 2:3

Answer:

Your choice is correct

Step-by-step explanation:

The first choice

Answer:

d² - 24d + c = (d - 12)² - 144 + c

The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

We have,

To determine the angle created by the bottom of the ramp and the ground, we can use the trigonometric function of sine.

In the given triangle, the height is 6 ft and the base is 16 ft.

The angle we want to find is opposite the height (let's call it θ).

The sine of an angle is defined as the ratio of the opposite side to the hypotenuse.

sin(θ) = opposite/hypotenuse

sin(θ) = 6/16

sin(θ) = 0.375

To find the angle θ, we can take the inverse sine (also known as arcsine) of 0.375:

θ = arcsin(0.375)

θ ≈ 22.62°

To meet safety regulations, the angle should be no more than 18°. Therefore, the contractor needs to lower the ramp by:

22.62° - 18° ≈ 4.62°

Thus,

The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

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Answer:

1/6

Step-by-step explanation:

out of the 6 sides of the die, you can roll a 6 1 time. The formula = favorable/possible.

Hope this helps!

Answer:

Poems are usually about realistic fiction, if not nonfiction. Fairy tales usually are incorporated with myths and folk tales.

An autobiography is about a persons life, while a poem is about person(s) or something(s). 9 out of 10 times, an autobiography will not ryhme.

I just ryhmed there!

Wow, it's a bad time to ryhme.

How ironic.

Answer:

same as last because it is a circle

Step-by-step explanation:

Answer: diameter = 16 area = 201.06

Step-by-step explanation:

In the provided text is a questionnaire or form related to a research tool for assessing a campaign in the community.

The first question asks whether the campaign pursues its aims, with the options of answering "YES" or "NO." The respondent is then instructed to elaborate on their answer.

A questionnaire is a research tool   used to collect data by presenting a series of questions to respondents,typically in a written format.

Questionnaires are an important research tool as they allow researchers to gather   large amounts of data from a large number of participants in   a standardized and efficient manner.

They provide a structured approach to collecting information,allowing for easy analysis and comparison   of responses.

Questionnaires can be used in various   research settings and are particularly useful for collecting quantitative data,measuring attitudes, opinions, behaviors, and gathering demographic information.

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The numeric value of the exponential expression in this problem is given by the following option:

A. 2^12.

The exponential expression for this problem is defined as follows:

8^x/2^y.

8 is the third power of 2, hence:

8 = 2^3.

When a term is elevated to two of it's powers, the powers are multiplied, hence:

(2^3)^x = 2^(3x).

Meaning that the exponential expression is then written as follows:

8^x/2^y = 2^(3x)/2^y.

When two terms of the same base and different exponents are divided, we keep the base and subtract the exponents, hence the expression is given as follows:

2^(3x)/2^y = 2^(3x - y).

As stated in the problem, the numeric value of the expression 3x - y is given as follows:

3x - y = 12.

Hence the entire expression is simplified as follows:

2^(3x - y) = 2^12.

Meaning that the correct option is given by option A.

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Answer:A. 2^12.

Step-by-step explanation:i did it and got it right

1. The velocity at time t , v(t) = (18t² + 3 ) m/s

2. The velocity at time t = 3 seconds = 165 m/s

3. The acceleration at time t, a(t) =( 36t )m/s²

4. The acceleration at time t = 3 seconds = 108 m/s²

The quantity that tells us how fast an object is moving anywhere along its path is the instantaneous velocity.

Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.

1. s(t) = 6t³ + 3t +9

to find the velocity at time t, we differentiate s(t)

= 18t² + 3

2. at t = 3s

= 18(3)² +3

= 165 m/s²

3. v(t) = 18t² + 3

to get the acceleration at time t, we differentiate v(t)

= 36t

4. when t = 3

a = 36 × 3

= 108 m/s²

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The equation with an infinite number of solutions is 12x-x+8+3x=14x+8.

An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.

Here,

12x-x+8+3x=14x+8

The equation so that it has infinitely many solution is 12x-x+8+3x=14x+8.

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The measure of each exterior angle of a regular eneagonal is given as follows:

40º.

An exterior angle of a polygon is defined as the angle between a side and its adjacent extended side.

The exterior angle theorem states that the sum of the measures of the exterior angles of any polygon is of 360º.

For a regular polygon, the angle measures are equal. A regular eneagonal has nine exterior angles, hence the measure of each angle is given as follows:

360/9 = 40º

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Answer:

13

Step-by-step explanation:

use distance formula \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(7-2)^2+(7-(-5))^2} =13\)

A graph of the resulting triangle after a rotation of -180° about the origin is shown below.

In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Furthermore, the mapping rule for the rotation of triangle TOP 180° counterclockwise or -180° about the origin is given by this mathematical expression:

(x, y)                                            →            (-x, -y)

Coordinates of point T (6, 0)  →  Coordinates of point T' = (-6, 0)

Coordinates of point O (-2, -5)  →  Coordinates of point O' = (2, 5)

Coordinates of point P (-2, 5)  →  Coordinates of point P' = (2, -5).

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer : 76 gallons of oil would have been released after the first 6 hours

The total gallons of oil is = 108, 000 galllons

The total volumes of oil = 108, 000

For every 2 hours = 1/3 of the main volume will be removed

For the first 2 hours

1/3 x total volumes

1/3 x 108, 000

108, 000 / 3

= 36, 000

The remaining volume = 108, 000 - 36, 000

The remaining volume = 72, 000

For the second 2 hours

1/3 x remaining volume

1/3 x 72000

72000/3

= 24, 000

The remaining volume after 4 hours = 72,000 - 24, 000

The remaining volume = 48, 0000

For the third 2 hours

1/3 x 48, 000

48, 000/3

16, 000

Total volumes released after 6 hours is

36, 000 + 24, 000 + 16, 000

Total volume released = 76, 000 gallons

Therefore, 76 gallons of oil would have been released after the first 6 hours

Note the following points:

If a number "a" is positive, and the nth root, n, is even, then there are two nth real roots

If a number "a" is positive and the nth root, n, is odd, then there is just one nth real roots

If a number "a" is negative and the nth root, n, is even, then there are zero nth real roots

If a number "a" is negative and the nth root, n, is odd, then is only one real nth roots

Let us match the statements now:

If n is even and a > 0, a has two nth real roots/solutions (g)

If n is odd and a > 0, a has one nth real root/solution (c)

If n is is odd and a < 0, a has one nth real solution (i)

If n is even and a < 0, a has zero nth real solution (f)

You have points R(2, 10) and S(6, - 8).

There two ways to construct a right triangle with RS being a hypotenuse.

Please see both ways reflected in the attached.

One triangle is RST and another one is RSU with red or blue legs.

A randomized experiment with order, replacement, and no repetition is one in which the order of the outcomes matters, the same outcome can occur multiple times, and no outcome can occur more than once.

For example, drawing a card from a deck and then flipping a coin would be a random experiment with order, replacement, and no repetition. The order of the results is important because the outcome of the coin toss will depend on the outcome of the card draw.

The same result can occur multiple times because the same card can be drawn twice, and no result can occur more than once because the coin can only land heads or tails once.

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Random experiment with order, replacement and without repetition

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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The equivalent expression is 5 - 3x/2. Option D

Algebraic expressions are described as expressions that are made up of variables, their coefficients, factors and constants.

these algebraic expressions are also composed of mathematical operations. These operations includes;

From the information given, we have that;

1/ 4(8 - 6x + 12)

expand the bracket, we have;

Add the like terms

1/4(20 - 6x)

now, multiply the values, we have;

20 - 6x/4

Divide by the denominator

5 - 3x/2

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The complete question:

Simply the expression:

1/ 4(8 - 6x + 12)

The LCD of the rational expressions 7/5y^2+32y−64 and 10y/5y^2−18y+16 is (y + 8)(5y - 8)(y - 2)

The rational expressions are given as:

7/5y^2+32y−64 and 10y/5y^2−18y+16

Write out the denominators

5y^2+32y−64 and 5y^2−18y+16

Expand each of the denominator.

5y^2 + 32y - 64 = 5y^2 + 40y - 8y - 64

5y^2 − 18y + 16 = 5y^2 - 10y - 8y + 16

Factorize each of the denominator.

5y^2 + 32y - 64 = (5y - 8)(y + 8)

5y^2 − 18y + 16 = (5y- 8)(y - 2)

So, the factorized expression of the denominators are

(5y - 8)(y + 8) and (5y - 8)(y - 2)

Combine the expressions

(5y - 8)(y + 8)(5y - 8)(y - 2)

Remove repetition

(y + 8)(5y - 8)(y - 2)

Hence, the LCD of the rational expressions 7/5y^2+32y−64 and 10y/5y^2−18y+16 is (y + 8)(5y - 8)(y - 2)

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Answer:

A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.

Step-by-step explanation:

The completed relative frequency distribution table is as follows:

body temperature (in Fahrenheit) Percent

97.3 - 97.6 -----------------------------  38.9%

97.7 - 98.0 -----------------------------  33.3%

98.1 - 98.4 ------------------------------ 19.5%

98.5 - 98.8 ------------------------------ 8.3%.

In the question, we are asked to give the relative frequency distribution for the given frequency distribution.

Relative frequency distribution is the ratio of the assigned frequency to the total frequency.

The given frequency distribution table is:

body temperature (in Fahrenheit) Frequency

97.3 - 97.6 ---------------------------------- 14

97.7 - 98.0 ---------------------------------- 12

98.1 - 98.4 ----------------------------------- 7

98.5 - 98.8 ----------------------------------- 3

The total frequency can be calculated by adding all the frequencies.

Thus, the total frequency = 14 + 12 + 7 + 3 = 36.

Now, the relative frequency table, can be shown as follows:

body temperature (in Fahrenheit) ------ Percent

97.3 - 97.6 ----------------------------- 14/36 = 0.389 = 38.9%

97.7 - 98.0 ----------------------------- 12/36 = 0.333 = 33.3%

98.1 - 98.4 ------------------------------ 7/36 = 0.195 = 19.5%

98.5 - 98.8 ------------------------------ 3/36 = 0.083 = 8.3%.

Thus, the completed relative frequency distribution table is as follows:

body temperature (in Fahrenheit) Percent

97.3 - 97.6 -----------------------------  38.9%

97.7 - 98.0 -----------------------------  33.3%

98.1 - 98.4 ------------------------------ 19.5%

98.5 - 98.8 ------------------------------ 8.3%.

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For the complete question, check the attachment.

Answer:

16/3 or 5 1/3

Step-by-step explanation:

multiply than simplify

we know that

if the perimeter of each face of one prism is double the perimeter of the corresponding face of the other prism and the two triangular prisms are similar

then

the scale factor is equal to

so

substitute the value of the scale factor

therefore

the answer is the option

Answer:

The surface area of the larger prism is 4 times the surface area of the smaller prism.