If f(x)=|x+6|, find f(−10).

Answer:

y= -6x - 15

Step-by-step explanation:

First you need to plug in the x and y coordinates into the equation y = -6x and you should get (-3) = -6(-2). Then you do -6 x -2 which is 12 then subtract 12 from -3 and get -15.

Just took the exam and the answer is c :)

Answer:

132

Step-by-step explanation:

ada = 30

uche has 12 more than ada = 30 + 12 = 42

joy has twice as much as ada = 2 * 30 = 60

altogether they have = 30 + 42 + 60 = 132

9514 1404 393

Answer:

Step-by-step explanation:

The product of ratio units is 12 unit³, so each must stand for 1 m.

The dimensions of the room match the ratio units:

  4 m length by 3 m breadth by 1 m height

The forecast for the period of 4 is 152.5

The equation of the fitted trend is given as:

yt = 184e-.047t

At the 4th period, we have:

t = 4

This means that:

y4 = 184e-.047 * 4

Evaluate the product

y4 = 184e-0.188

Evaluate the exponent

y4 = 184 * 0.8286

Evaluate the product

y4 = 152.5

Hence, the forecast for the period of 4 is 152.5

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Since, the length of one side of the pennant is 3 feet longer than the length of the other side. Therefore, the length, in feet, of the two sides of the pennant are 9 inches and 3 inches.

Hypotenuse:

The hypotenuse is the longest side of a right triangle, opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Pythagorean Theorem:

In mathematics, the Pythagorean Theorem or Pythagorean Theorem is the fundamental relationship in Euclidean geometry between the three sides of a right triangle. It states that the area of ​​a square whose side is the hypotenuse (opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation for the lengths of sides a, b and hypotenuse c, often called the Pythagorean equation:

                                       a²+ b² = c²

According to the Question:

Now, By the Pythagorean Equation:

x²+(x - 3)² = 15²

x²+ x²-6x+9 = 225

2x²- 6x+ 9 - 225 = 0

2x²- 6x- 216 = 0

divide both sides by 2

x²- 3x- 108 =0

factor

(x- 9)(x+ 12)=0

x - 9 = 0

x = 9 inches

x- 3 = 3 inches

x and x- 3 are the legs and the hypotenuse is 15 inches

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Answer:

I read it.. I don't know.. It's just saying we can't really cheat, it's not too bad.

Answer:

Geometric function deals with points, lines, varied-dimensional objects and shapes, surfaces, and solids in mathematics Whiles Algebra uses variables, in the forms of letters and symbols, to act as numbers or quantities in equations and formulas.

Answer:

y = 1/2x - 3 (option - d)

Step-by-step explanation:

The lines are parallel if they have the same slope/gradient. So by comparing with y = mx + c (where 'm' is the slope and 'c' is the y-intercept).

Line y = 1/2 x - 6 has the slope m = 1/2

and the line in option 'd'

y = 1/2 x -3 has the slope m = 1/2

Slopes are equal and lines are parallel.

Thank-you.

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The prove of ∠1 equal to ∠2 is shown below.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

⇒ AB = AC, AD = AE and DC = EB

Now,

In ΔDBC and ΔEBC;

⇒ DC = EB   (Given)   ..(i)

Since,  AB = AC

So, the ΔABC is a isosceles triangle.

Hence, ∠DBC = ∠ ECB   ..(ii)

Here,  AB = AC and AD = AE

So, BD = EC   ..(iii)

Hence, By the condition (i), (ii) and (iii);

By SAS condition,

⇒ ΔDBC ≅ ΔEBC

Hence, We get;

⇒ ∠1 = ∠2

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The variance of X is 0.09.

Formula used: Variance is the square of the standard deviation. T

he formula to calculate variance of a discrete random variable X is given by:

Var(X) = E[X²] - [E(X)]²Calculation:

P(B) = 0.2P(A)

= 0.5P(AB) =

0.1

By definition,

P(A U B) = P(A) + P(B) - P(AB)

⇒ P(A U B) = 0.5 + 0.2 - 0.1

⇒ P(A U B) = 0.6

Now,E[X] = E[1B + ?]

⇒ E[X] = E[1B] + E[?]

Since 1B can have two values 0 and 1.

So,E[1B] = 1*P(B) + 0*(1 - P(B))

= P(B)

= 0.2P(A/B)

= P(AB)/P(B)

⇒ P(A/B)

= 0.1/0.2

= 0.5

So, the conditional probability distribution of ? given B is:

P(?/B) = {0.5, 0.5}

⇒ E[?] = 0.5(0) + 0.5(1)

= 0.5⇒ E[X]

= 0.2 + 0.5

=0.7

Now,E[X²] = E[(1B + ?)²]

⇒ E[X²] = E[(1B)²] + 2E[1B?] + E[?]²

Now,(1B)² can take only 2 values 0 and 1.

So,E[(1B)²] = 0²P(B) + 1²(1 - P(B))= 0.8

Also,E[1B?] = E[1B]*E[?/B]⇒ E[1B?] = P(B)*E[?/B]= 0.2 * 0.5 = 0.1

Putting the values in the equation:E[X²] = 0.8 + 2(0.1) + (0.5)²= 1.21Finally,Var(X) = E[X²] - [E(X)]²= 1.21 - (0.7)²= 0.09

Therefore, the variance of X is 0.09.

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Answer:Here is the algebraic solution: T is the tens digit O is the ones digit T+O = 14 So

Step-by-step explanation:O = 14 - T <---- this is the first equation

The original number is 10*T + O

If the digits are reversed the original number is increased by 18.

The number if the digits are reversed is:

10*O + T = 10*T + O + 18

10*(14-T) + T = 10*T + (14-T) + 18 <--- substitutes O with 14-T per first equation above in bold

140 - 10T + T = 10T + 14 - T + 18 <--- distributive left side

140 - 9T = 9T + 32

140 = 9T + 9T + 32

140 - 32 = 9T + 9T

108 = 18T

108/18 = T

T= 6

THe tens digit is 6.

The ones digit must be 8.

Reversing 86 - 68 = 18

The original number is 68.

Answer: Terminating decimal

Step-by-step explanation:

change the fraction 58 into a decimal.

58=0.625 .

Answer:

It would be 8

Step-by-step explanation:

Answer:

(c) 8 Cups

Step-by-step explanation:

-0.05 is the average rate of change in median age per year from 1930 to 1960.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given,  a data set that gives the median age of an American man at the time of his first marriage.

Year                             Median age

1910                              25.1

1920                             24.6

1930                             24.3

1940                             24.3

1950                             22.8

1960                             22.8

1970                             23.2

1980                             24.7

1990                             26.1

2000                             26.8

The average rate of change from 1930 to 1960 = (-24.3 + 22.8) / (1960-1930)

The average rate of change from 1930 to 1960 = -0.05

Therefore, the average rate of change in median age per year from 1930 to 1960 is -0.05.

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The hoop's translational kinetic energy divided by its rotational kinetic energy is ¼. So, the correct answer is E.

A hoop of mass (m) and radius (r) rolls with a constant speed on a horizontal surface without slipping, meaning its linear velocity (v) is equal to the product of its angular velocity (ω) and radius (r):

v = ωr.

We are asked to find the ratio of the hoop's translational kinetic energy (K_t) to its rotational kinetic energy (K_r).

The translational kinetic energy is given by the formula K_t = (½)mv², and the rotational kinetic energy is given by K_r = (½)Iω²,

where I is the moment of inertia. For a hoop, the moment of inertia is given by I = mr².

Now, we'll express ω in terms of v using the given relationship (v = ωr), so ω = v/r.

Then, we'll substitute this expression into the K_r formula:

K_r = (1/2)(mr²)(v²/r²).

After simplifying, we get K_r = (½)mv².

Finally, we'll find the ratio K_t / K_r = [(½)mv²] / [(½)mv²], which simplifies to 1.

Therefore, the answer is (E) ¼.

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The correct statement regarding the variation of the two measures is given as follows:

C. Yes, they vary directly. When one quantity increases, the other quantity also increases.

For this problem, we have that when the number of correct answers on the test increases, the score also does, hence the two quantities vary directly, and option c is the correct option for this problem.

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Answer:15

Step-by-step explanation: Its simple, 30% as a decimal is 0.30, multiply it by 50 and you get 15.

Answer:

15 puzzles

Step-by-step explanation:

50 times .30 is 15

Answer:

x≤3

Step-by-step explanation:

In my equation, it is saying that x is less than or equal to 3. This is because of your original statement "All numbers that are at most 3." The number has to be AT MOST 3 which means that the number can be 3 but no higher. In other words, the number has to be less than 3 or equal to 3.

Answer:

\(here \: < a \: and \: < b \: are \: on \: same \: line \: so \: \\ < a + < b = 180 \\ 3x + 5 + x + 15 = 180 \\ 4x + 20 = 180 \\ 4x = 180 - 20 \\ 4x = 160 \\ x = \frac{160}{4} = 40 \\ x = 40 \\ thank \: you\)

Answer:

In the case presented, the range is the difference between the maximum value and the minimum value of the data. The range describes the breadth of the data and how much they vary from the minimum value to the maximum value. Therefore, the range indicates the dispersion of the data.

The statement indicates that the range is 5, which means that the most flights made by students is 5. Since the data has a narrow dispersion, we can conclude that most students have taken a similar number of flights, implying that most students have flown an amount close to the maximum number observed.

Therefore, the option that best describes the dispersion of the data is: "The data has a range of 5, which is a narrow dispersion. This means that most students have taken a similar number of flights."

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6   or k=6

(d)  Solving simultaneously can mean to set equal

6x - x² = k                        >subtract k from both sides

6x - x² - k = 0                  >put in standard form

- x² + 6x - k = 0               >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f)  The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal.  I chose new)

discriminant formula = b² - 4ac

equation:   x² - 6x + 6 = 0            a = 1      b=-6    c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.

If the incomes in a certain larger population of college teachers have a normal distribution with mean of $60,000 and standard deviation of $5,000.the probability that their average salary exceeds $65,000 is 0.0228.

Probability is the tendency or likelihood that an event will happen.

First step is to find the standard deviation

Standard deviation= $5,000/√4

Standard deviation= $5,000/2

Standard deviation= $2,500

Second step is to find the z -score

Z= 65,000 - 60,000/2500

Z= 5,000/2500

Z= 2

Now let find the  pvalue of 2

pvalue of 2 = 0.0228

Therefore the probability is 0.0228.

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Answer:

12 miles below sea level

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Jane and John are each hiking a trail in the city.  Jane is on her bike, and John is jogging.

At noon, Jane is at the 5 mile mark and rides at 11 miles per hour.

Also at noon, John is at the 23 mile mark and jogs at 8 miles per hour.

x is the number of hours after noon.

Will Jane catch John?  After how many hours?

Answer:

the answer wouldbe 8585434930.123

Step-by-step explanation:

Unfortunately, there is no table or any terms mentioned in your question for me to complete it.

However, based on the information provided, I can give you a general idea of how to approach this type of question.To complete a table, you need to first identify the categories and subcategories you will be filling in. For instance, if the table is about animals, you may have categories like "Mammals," "Birds," "Fish," etc. Under each category, you would list the different types of animals that belong in that category. Once you have your categories and subcategories identified, you can start filling in the information. Use brief but descriptive language to describe each item, and if possible, include an illustration or figure to help visualize it.

For example, let's say we have a table about types of trees. Here is what it might look like:NameDescription or MeaningIllustration or FigureOakLarge deciduous tree with lobed leaves and acornsMapleMedium-sized deciduous tree with distinctive five-pointed leaves and colorful fall foliagePineTall evergreen tree with long needles and conesBirchSmall deciduous tree with white bark and triangular leavesIn summary, to complete a table, you need to identify categories, fill in the information using descriptive language, and use illustrations or figures if possible. I hope this helps!

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The area of the given  isosceles triangle is 480 square units.

Isosceles triangle:

An isosceles triangle is a triangle with two sides of equal length. Let's do a little activity to understand this better. Take a square piece of paper and fold it in half. Draw a line from the folded top corner to the bottom edge (see image below). Open the sheet and you will see a triangle. Mark the triangle vertices as O, D, C. Then measure OD and OC. Repeat this activity at different scales and observe patterns. We can see that OD and OC are always the same. A triangle with two equal sides is called an isosceles triangle.

Given,

base (b) = 20 units and

height (h) = 120 units.

The formula to calculate the area is 1/2 × b × h square units.

By substituting the values, we get

⇒ Area = 1/2 × 20 × 120

            = 480 unit Squares

Therefore, the area of the given  isosceles triangle is 96 square units.

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Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158