The difference between two numbers is 10. The smaller number is 8.

Which of the following is the equation of the statement above?

10 - x = 8
x + 8 = 10
x - 8 = 10
8 - x = 10

Answer: The MAD of the data in the table is 10. If the additional drawings are Amy’s the MAD is the data set still decrease. If the are Emily’s, the MAD will increase. The MAD of the new data set does depend on whether it was Amy or Emily who turned in the additional drawings. So, Greg is incorrect.

Step-by-step explanation:

Answer:

36 degrees

Step-by-step explanation:

angle 1 and 2 are the same

good luck!

Complementary angles are of 90°.

So, angle 1 + angle 2 = 90°

=> 36° + angle 2 = 90°

=> angle 2 = 90° - 36°

=> angle 2 = 54°

Answer:

81

Step-by-step explanation:

by corresponding angles from angle ABC

Answer:

B and C

Step-by-step explanation:

A general way to know this is, if the answer can be given as a rate, percentage, or probability, then this is a statistical question

If the answer is yes, no, true, false, or something exact, then the question is not statistical.

Let's analyze the given questions:

a) "How many cups are in a gallon?"

There is an exact number of cups in a gallon (16) so this is not an staistical question.

b) "Which measure spoon do home backers use most frequently?"

While here the answer may be something like "teaspoon", the root of the answer is a percentage, here we actually would see the percent of home backers (so we need to find a sample, study that sample, etc) that use each spoon, and based on that, we could conclude what is the correct answer, then this is a statistical question.

c) "On average, how much salt do professional pastry chefs use in pie crust?"

Here we need to find a mean value, so we would need to do a survey and etc, then this is a statistical question.

d) "Which is larger, 17 ounces or 2 cups?"

Here we have an exact solution, so this is not a statistical question.

e) "Did a specific store sell more measuring cups or measuring spoons on a given day?"

Here we just need to compare the two numbers:

number of measuring cups sold = k

number of measuring spoons sold = m

And we need to see which one is larger, so the answer is exact, thus, this is not a statistical question.

This may be similar to option B, the difference is that in option B we are talking about all home backers, so we need to find a sample and do statistics, while in this case, we are talking about a specific store.

Then the correct options are: B and C

The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the square of the length of the other two sides (a and b).

In this case, a = b = 9 in, so:

c2 = 92 + 92

c2 = 81 + 81

c2 = 162

c = √162

c = 12.73 in

The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in, calculated using the Pythagorean theorem.The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in.

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Answer:

This equation can be used to determine how long the car was traveling at each speed. You can solve for one of the variables by using algebraic techniques. For example, you could subtract 35y from both sides to get:

55x = 200 - 35y

Then divide both sides by 55 to get:

x = (200 - 35y)/55

This equation shows that the value of x (the time spent traveling at 55 mph) is determined by the value of y (the time spent traveling at 35 mph). If you know the value of y, you can use this equation to calculate the value of x.

To find the values of x and y that satisfy the equation, you will need to use additional information. For example, you could set up a system of equations and solve for x and y using techniques such as substitution or elimination.

Step-by-step explanation:

Ken should leave a $3.59 tip.

We will discuss algebra, a branch of mathematics that deals with symbols and the rules for manipulating them, in the context of algebra word problem worksheets.

They represent variables or quantities without set values. Our abilities to construct and solve equations must be combined in order to solve algebraic word problems.

It is crucial to start by converting verbal descriptions into algebraic formulas before tackling word issues.

To find the amount of tip he should give, we note that 15% is equal to 0.15 as a decimal.

23.95 * 0.15= 3.5925≈3.59 (approximately)

Therefore, Ken should leave a $3.59 tip.

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Answer:

[tex]x = 15[/tex]

[tex]y = 25[/tex]

Step-by-step explanation:

Given

See attachment for MNPQ and RSTU

Required

Find x and y

To solve this question, we make use of equivalent ratios of corresponding side lengths.

The ratio of corresponding sides are:

[tex]MN : RS[/tex]

[tex]NP : ST[/tex]

[tex]PQ : TU[/tex]

[tex]MQ : RU[/tex]

From the attachment, we have:

[tex]MN : RS \to 18 : 30[/tex]

[tex]NP : ST \to x : 25[/tex]

[tex]PQ : TU \to 15 : y[/tex]

To solve for x, we equate [tex]MN : RS[/tex] and [tex]NP : ST[/tex]

[tex]18 : 30 = x : 25[/tex]

Express as fraction

[tex]\frac{18 }{ 30 }= \frac{x }{ 25}[/tex]

Make x the subject

[tex]x = 25 * \frac{18 }{ 30 }[/tex]

[tex]x = \frac{25 * 18 }{ 30 }[/tex]

[tex]x = \frac{450}{ 30 }[/tex]

[tex]x = 15[/tex]

To solve for y, we equate [tex]MN : RS[/tex] and [tex]PQ : TU[/tex]

[tex]18 : 30 = 15 : y[/tex]

Express as fraction

[tex]\frac{18 }{ 30 }= \frac{15 }{ y}[/tex]

Make y the subject

[tex]y = 15 * \frac{30 }{ 18 }[/tex]

[tex]y = \frac{15 *30}{ 18 }[/tex]

[tex]y = \frac{450}{ 18 }[/tex]

[tex]y = 25[/tex]

Answer:

3. 17.2°

Step-by-step explanation:

The angles for the right triangle are 90°, 72.8°, and 17.2°.

The following presumption has to be verified in order to establish whether the collection of ordered pairs fulfills an exponential function: The x-coordinates must have the same increment or a consistent difference.

A mathematical function of form f (x) = aˣ is an exponential function. "x" is a variable, while "a" is a constant that serves as the function's basis and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the foundation for exponential functions that are most frequently utilized.

Characteristics are:

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For the given figure, where m and nare relatively prime positive integers. The value of m+n is 32.

The law of cosines, also known as the law of cosines, relates all three sides of a triangle to one angle of the triangle. Most useful for searching for missing information in triangles. For example, if you know all three sides of a triangle, you can use the law of cosines to find the measure of the angle. Similarly, if you know two sides and the angle between them, you can find the length of the third side by the law of cosines.

Let X be the intersection of the circles with centers B and E, and Y be the intersection of the circles with centers C and E.

Since the radius of B is 3, AX = 4.

Assume AE = p.

Then EX and EY are radii of circle E and have length 4 + p.

AC = 8, and ∠CAE = 60° because we are given that triangle T is equilateral.

Using the Law of Cosines on Δ CAE, we obtain

(6+p)² =p² + 64 - 2(8)(p) cos 60

The 2 and the cos 60 terms cancel out:

p² + 12p + 36 = p² + 64 - 8p

12p+ 36 = 64 - 8p

p = 28/20

= 7/5

The radius of circle E is 4 + (7/5)

= 27/5,

So, the answer is 27 + 5 = 32

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Answer:

Let's define the variables:

M = mother's age

D = daughter's age.

"a mother is twice as old as her daughter"

This can be written as:

M = 2*D

"5 years from now she will be thrice as old as her daughter"

(M + 5) = 3*D

We want to know how old is the mother five years from now.

First, our equations are:

M = 2*D

(M + 5) = 3*D

First, we need to isolate one of the variables in one of the equations, because for the solution we want the mother's age, we should isolate the daughter's age.

Let's isolate D in the first equation:

M/2 = D

Now we can replace this in the other equation:

Now we can replace this on the other equation:

(M + 5) = 3*(M/2)

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

-(1/2)*M + 5 = 0

5 = (1/2)*M

2*5 = M = 10

So the mother is 10 years old (this hasn't a lot of sense, maybe there is a wrong number on the question)

and 5 years from now, the mother will be:

10 + 5 = 15 years old.

Answer:

3) if you were to draw vertical lines through this graph you would have instances where an 'x' value would have more than one unique 'y' value

Step-by-step explanation:

functions must have one unique 'y' value for each 'x' value

The third graph represent a relation that is not a function

A relation is a function if it has only One y-value for each x-value.

The third one doesn't represent a function, because for some values of "x", you get two different values for "y" (which should not happen, if that were a function).

In order to see it better, you can trace a vertical line onto that graph.

If that line and the graph intersects in more than one point, then that graph doesn't represent a function.

In every function, you must have a single "y" value for each "x" in the domain.

Hence, the third graph represent a relation that is not a function

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Answer:

Step-by-step explanation:

x=tan^{-1}(-0.8645) \approx -40.84°,-40.84+180,-40.84+360

x=139.16°,319.16°

The values of x in the interval 0° < x < 360° for which tan(x) = -0.8645 are approximately 139.18° and 299.18°.

To find the values of x in the interval 0° < x < 360° for which tan(x) = -0.8645, you can use the inverse tangent function (also known as arctan or atan). The inverse tangent function will give you the angle whose tangent is equal to the given value.

Using a calculator or a math software that supports trigonometric functions, you can take the inverse tangent (arctan) of -0.8645 to find the angle:

arctan(-0.8645) ≈ -40.82°

Since tangent is a periodic function with a period of 180°, you can find other angles that satisfy the equation by adding or subtracting multiples of 180°:

-40.82° + 180° ≈ 139.18°

-40.82° + 2 * 180° ≈ 299.18°

So, the values of x in the interval 0° < x < 360° for which tan(x) = -0.8645 are approximately 139.18° and 299.18°.

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Answer:

9.x=34

10.142

11.118

12.72

Step-by-step explanation:

9.180-146

10.because they are on the same side of the line but also opposite  of each other

11.180-62

12.because if you pick up one side and put is on the other side the numbers will be the same.

Answer:

22 ft

Step-by-step explanation:

The circumference of a circle with given diameter d is C = (3.14)d.

Here, C = (3.14)(7 ft) = 21.98 ft, or approximately 22 ft

Answer:

Step-by-step explanation:

Here,

It gives the diameter of a [tex]\huge{\bigcirc}[/tex]d=7feet,

Here,

[tex]\pi = 3.14[/tex]

Then the circumference of that circle is

Hence

The circumference of that circle is 23ft 

Answer:

Step-by-step explanation:

Plug in 5 for h

6(5)+7(5)

30+35=65

65

Answer:

[tex] \sf \: 6h + 7h = 65[/tex]

Step-by-step explanation:

Given information,

→ 6h + 7h

→ h = 5

Now the final value will be,

→ 6h + 7h

→ 6(5) + 7(5)

→ 30 + 35

→ 65 => final value

Hence, the answer is 65.

Answer:

A diver dove down in the ocean, they went down to 120 meters, They then proceeded to swim up resulting them at -110 meters, did they pass they 0 sea level? If yes, how?

Step-by-step explanation:

Answer:

It's actually worth 10 points

Wind direction [Mode] is South west

The [Mean] temperature is  

The  [Bimodal] pavement is  Dry Wet

From the question the first question is to determine the wind direction

Generally from the wind direction would be the data with the highest frequency on the wind column i.e the mode of the data, this because this variable(wind direction ) is a nominal level type of level of measurement where the value assigned to the variable are for classification of the data (i.e telling what the data is all about )

So

The mode is Southwest

This means that the wind direction is Southwest

From the question second question is to determine the temperature

Generally given that their are are no outlier that will skew the data we can obtain the temperature by calculating the mean for the temperature column

This is mathematically represented as

T = 89+86+....+93+93/8

T = 91

From the question, the first question is to determine the  pavement

Generally from the pavement would be the data with the highest frequency on the pavement i.e the mode of the data, this because this variable(pavement ) is a nominal level type of level of measurement where the value assigned to the variable are for classification of the data (i.e telling what the data is all about )

From the table we see that the pavement that the pavement column is bimodal

So the mode is Dry Wet

This mean that the pavement is Dry Wet

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Answer:

thank you, I guess

Step-by-step explanation:

Answer:

a) exponential decay

b) $1000

c)not sure

Step-by-step explanation:

a) depreciates means disapprovel so its going down

b) 20000×0.05=1000

Answer:

8 A

Step-by-step explanation:

V = 20 volts

R = 2.5 ohms

I=?

By Ohm's Law

[tex] \because \: I \: = \frac{V}{R} \\ \\ \therefore \: I= \frac{20}{2.5} = \frac{200}{25} = 8 \: Ampere[/tex]

Answer:

[tex]\small\mathfrak\red{here \: is \: your \: solution..} \\ \\ we \: know \: that \: tangent \\ from \: a \: same point \: are \: equal \\ \\ tr = 9 | an = 7 | eg = 5 \\ \\ tr = ta | an = gn | eg = re \\ \\ ta = 9 | gn =7 | re = 5 \\ \\ hence \: perimeter \: = 2(9 + 7 + 5) \\ \\ perimeter = 42 \: \\ \\ \huge\mathfrak\purple{hope \: it \: helps...}[/tex]

Answer:

Linear

Step-by-step explanation:

Linear means the graph is a straight line. If you plot the points, the line will be straight, therefore it is linear.

Answer:

x=-3

y=10

Step-by-step explanation:

a. Radius and diameter of a circle is proportional

b. Radius and circumference of a circle is proportional

c. Radius and area of a circle is not proportional

d. Diameter and circumference of a circle is proportional

e. Diameter and area of a circle is not proportional

Given that,

We have to find the pair of quantities are proportional to each other.

We know that,

In its most basic form, a ratio is a comparison between two comparable quantities.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

We know

a. Radius and diameter of a circle is proportional because d=2r

b. Radius and circumference of a circle is proportional because C = 2πr

c. Radius and area of a circle is not proportional because A = πr² non linear relationship.

d. Diameter and circumference of a circle is proportional C = πd

e. Diameter and area of a circle is not proportional A =  πd²

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Answer:

17

I wish you luck in your assignments.