Picture of coordinates (5,4) (3,4)
On a Cartesian plan

The data set is  the data is univariate and numerical.

What is  set ?

A set comprises elements or members that can be mathematical objects of any sort, including numbers, symbols, points in space, lines, other geometric forms, variables, or even other sets. A set is the mathematical model for a collection of various things.

A set is represented by a capital letter symbol and the number of elements in the finite set is represented as the cardinal number of a set in a curly bracket {…}.

The display summarizes grades on a World History exam.

100,95,90,85,80,75,70,65,60,55, 50

The data is univariate and numerical.

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Answer:

  no

Step-by-step explanation:

Tom wants to know if a 70 cm chest will fit in the space left by a 67 in bed in a room 86 in wide.

The space available is 86 in -67 in = 19 in.

An approximate conversion between cm and inches is that 10 cm corresponds to about 4 in. Then 70 cm will correspond to 7×4 = 28 inches, much too wide for a 19-inch space.

The chest will not fit next to the bed.

The value of angle x is 161 degree. So the option B is correct.

In the given question, lines h and j are parallel and cut by transversal k.

We have to find the measure of angle x and choose the correct option.

The diagram of the given question is given below:

From the given diagram using the corresponding angle theorem

x = y

As we know that the angle of straight line is 180 degree.

So x+19 = 180

Subtract 19 on both side, we get;

x = 161 degree

Hence, the value of angle x is 161 degree. So the option B is correct.

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Answer:

Refer to the photo taken.

Step-by-step explanation:

Yes, it wasn't fair because some kids got more pizza.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

A coach took his team out for pizza after their last game.

There were 14 players, so they had to sit in smaller groups at different tables.

Six players sat at one table and got 4 small pizzas to share equally.

Each of them got = 4/6 = 0.67

The other 8 players sat at a different table and got 6 small pizzas to share equally.

Each of them got = 6/8 = 0.75

0.75 > 0.67

Therefore, some kids got more pizza.

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The required solution is given as x = -4.32 and x = 8.32.

Given that,
To Solve (x-2)²- 40 = 0, where x is a real number.

The process in mathematics to operate and the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

(x-2)²- 40 = 0
(x - 2) = √40
x - 2 = ± 6.32
Taking plus,
x = 6.32 + 2
x = 8.32
Taking minus
x = -6.32 + 2
x = -4.32

Thus, the required solution is given as x = -4.32 and x = 8.32.

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Answer:

340=10*340 calculated

Answer:

340

Step-by-step explanation:

i know math alot

Answer:

B

Step-by-step explanation:

Reverse the first and second elements of each ordered pair.

Answer:

sec^2(a) - sin(a)

Step-by-step explanation:

Hope it helps!

Answer:

Step-by-step explanation:the answer is (sin2 A+cos2)/cos A

tan A+cot A =? =sin A/cos A + cosA/sinA. = (sin^2 A+cos^2 A)/cos A.

The translated coordinates of B is B'(97,69).

A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.

Given, point B with coordinates (95, 71) is mapped onto B' through a translation by vector (2,-4).

That means, the translation is 2 units right and 4 units down.

A positive number means moving to the right and a negative number means moving to the left.

The number at the second term represents up and down movement. A positive number means moving up, and a negative number means moving down.

So, B (95, 71) → B' (95 + 2, 73 -4)

       B (95, 71) → B' (97, 69)

Therefore, the coordinates of B' is (97, 69).

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Answer:

y=4x-5

Step-by-step explanation:

y=mx+c

m=4

c = y-intercept = -5

y=4x-5

1.7a+0.3a=0.8

2a=0.8

a=0.4

Answer:

17 7/12 gallons of gas.

Step-by-step explanation:

Set the fractions to like denominators. It'll make it a hell of a lot easier to add.

20 2/3rds = 20 8/12

9 1/4ths = 9 3/12

2 1/2 = 2 6/12

Adding those together gets you 31 17/12 which is 32 5/12 simplified.

Take that fraction and subtract it from your 50 gallons and it'll get you 17 7/12

Answer:r4r

Step-by-step explanation:

Answer:

The x-intercept is 40, which represents the number of monthly payments needed to repay the loan.

Step-by-step explanation:

The x-axis can be represented as y = $0, and in this graph y represents remaining balance. So, the x-intercept represents when no more money needs to be paid back on the loan.

Answer:

Dang this is hard

Step-by-step explanation:

The evaluation of −0.5D of the matrix gives

[9       8]

[-7     -4]

A matrix (plural matrices) is a set of numbers arranged in rows and columns so as to form a rectangular array.

Given:  the matrix

D =  [-18  -16]

       [14     8]

To find −0.5D, multiply every number in the matrix D by -−0.5. Thus:

−0.5D = −0.5 × [-18  -16]

                         [14     8]

−0.5D  =  [9       8]

               [-7     -4]

Therefore, the 1st option is the answer

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The image of the triangle ΔABC under a reflection across the line l can be obtained my making use of the laws of reflection, and the rules of a reflection transformation, to obtain the triangle ΔA'B'C', with vertices at A'(10, -5), B'(13, -6), and C'(12, -3)

Please find attached the plot of the image of the triangle ΔABC, created with MS Excel

A reflection transformation is one that forms a mirror image of the object across the line of reflection, such that lines joining corresponding points on the pre-image and the image are perpendicular to the line of reflection, and the corresponding points on the pre-image and the image are equidistant from the line of reflection.

Taking the coordinate of the vertices of the triangle ΔABC as A(10, 5), B(13, 6), C(12, 3), and the line l as coinciding with the x-axis, we get:

The coordinates of the image of a point (x, y) following a reflection about the x-axis is the point (x, -y)

Therefor, the coordinates of the vertices of the image of the triangle under a reflection across the line l are;

Please find attached the plot of the image of the triangle ABC under a reflection, across line l, created with MS Excel.

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Answer:

The answer will be 11.78

Step-by-step explanation:

The first step to dividing fractions of 412.3 and 35. Next to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed. You will get the answer in no time!

Answer:Select the correct answer from each drop-down menu.

Consider the end behavior of this function, and then complete the statements.

h(x) = -x - 3| +4

As x approaches negative infinity, h (x) approaches

As x approaches positive infinity, h (x) approaches

Step-by-step explanation:

h(x) = -x - 3| +4 x311

Answer:

-2

Step-by-step explanation:

We can find slope by using change in y over change in x, as shown:

3-(-1) = 4, and 2-4=-2, and 4/-2 = -2, so our answer is -2.

The investment compounded annually has a higher final value than the investment you described because the annual compound interest rate is higher.

What is compound interest?

Compound interest is a type of interest that is calculated on the initial principal of an investment as well as any accumulated interest. In other words, compound interest is interest that is earned on both the original principal and on the accumulated interest from previous periods.

To compare the investment you described to an investment of the same principal at the same rate compounded annually, we need to calculate the final value of each investment after 18 years.

For the investment you described, the final value can be calculated using the formula:

FV = P(1 + r/n)^(nt)

Where FV is the final value, P is the principal, r is the annual interest rate, n is the number of interest periods per year, and t is the number of years.

Plugging in the values given in the problem, we get:

FV = $6,000(1 + 0.06/6)^(6*18) = $6,000(1.01)^108 = $12,688.80

For the investment compounded annually, the final value can be calculated using the same formula, but with n = 1:

FV = $6,000(1 + 0.06/1)^(1*18) = $6,000(1.06)^18 = $15,848.75

Hence, the investment compounded annually has a higher final value than the investment you described because the annual compound interest rate is higher. The difference in final value between the two investments is $15,848.75 - $12,688.80 = $3,159.95.

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Using ratios and proportions, he can make 15 batch of muffins from 2 bags of cornmeal

Ratio is used for comparing two quantities of the same kind. The ratio formula for two numbers, a and b is expressed as a : b or a/b. When two or more ratios are equal, they are said to be in proportion. The concept of ratio and proportion is based on fractions.

Proportion refers to the equality of two ratios. Two equivalent ratios are always in proportion. Proportions are denoted by the symbol (: :) and they help us to solve for unknown quantities. In other words, proportion is an equation or statement that is used to depict that the two ratios or fractions are equivalent.

In this problem, we know that he has 2 bags of cornmeal

1 bag of cornmeal = 25 serving

2 bags = x

x = 2 * 25 = 50 servings

When making muffins, he needs 2.5 cups in a batch

But 3/4 cup = 1 serving

x cups = 50 serving

x = 50 * 3/4

x = 37.5 cups

1 batch = 2.5 cups

x batch = 37.5 cups

x = 37.5 / 2.5

x = 15 batch

He can make a 15 batches

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The player that has a ratio that means they have a better batting average is B. Tasha, because she has the highest ratio since 27 over 30 is greater than 24 over 30

From the information Illustrated, the ratio of hits compared to total attempts is their batting average. Each player on the team wants to have the highest batting average to help their team the most.

For the season so far, Jana has hit the ball 12 times out of 15 attempts. This will be:

= 12/15

= 0.8

Tasha has hit the ball 9 times out of 10 attempts. This will be:

= 9/10

= 0.9

The player that has a ratio that means they have a better batting average is Tasha.

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The patient should receive 909 mL of the TPN solution per day.

To determine the amount of the TPN solution the patient should receive per day, we need to use the following formula:

amount of TPN solution = (grams of protein needed / percentage of amino acids in TPN solution) × 100

In this case, we are given that the TPN solution contains 8.25% amino acids and that the patient needs 75 grams of protein per day. Substituting these values into the formula, we get:

amount of TPN solution = (75 / 8.25) × 100

amount of TPN solution = 9.09 × 100

amount of TPN solution = 909 mL

Therefore, the patient should receive 909 mL of the TPN solution per day.

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Terms in Algebraic Expression are [tex]4x^{2}[/tex] , -5y , 7

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.

Example of Algebraic Expression - 4x + 5y +8

Hence the term is the algebraic expression are -4x , 5y 8

According to the given information

The Algebraic Expression given to us

[tex]4x^{2} -5y+7[/tex]

Hence

The algebraic expression has three terms.

Terms are [tex]4x^{2}[/tex] , -5y , 7

Terms in Algebraic Expression are [tex]4x^{2}[/tex] , -5y , 7

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Answer:

Therefore, the possible values of x are all numbers less than 8.

Step-by-step explanation:

To find the value of x, we need to isolate the variable on one side of the inequality.

To do this, we can subtract 36 from both sides of the inequality to get -36 + x < 8 - 36.

This simplifies to -36 + x < -28.

Next, we can add 36 to both sides to get x < -28 + 36, which simplifies to x < 8.

Therefore, the possible values of x are all numbers less than 8.

Answer:

Inequality Form:

x<44

Interval Notation:

(−∞,44)

Step-by-step explanation:

Move all terms not containing x to the right side of the inequality.