Two angles are complementary. The measure of one angle is 17 degrees. What is the measure of the other angle?

Answer:

Step-by-step explanation:

This number line says that  we can take all values of x that are less than or equal to 2. That is, the solution is

                                  \(x\leq 2\)

NOTE: if the circle at 2 were not filled in then that would mean x<2 (2 would not be an accepted value of x)

Answer:

16

Step-by-step explanation:

the answer is 16

The number of people were 200 in the theater when it was full.

What is a theater?

In architecture, a theatre, usually spelled theatre, is a structure or area where a play can be conducted in front of spectators. The term comes from the Greek theatron, which means "a place of seeing." The actual performance usually takes place on a stage in a theatre.

Given that, the theater was full when the movie began.

76 people leave the theater before end the movie. At the end of the movie, there is 124 people left.

Apply algebraical operation that is addition to find the required answer.

Therefore, the number of people that was present at the beginning of the movie is (76 + 124) = 200.

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Combining like terms yields 7x⁵ - x³ - x² + 4x.

Answer:5.6 I think

Step-by-step explanation:yea I just minus them and got that so

Answer: y = 3/5

Step-by-step explanation:

To solve for y, isolate the variable on one side and constants on the other side:

1y = 1 2/5 - 4/5

(You can subtract 4/5 on both sides to get rid of it on the left side and subtract it from 1 2/5 on the right side)

Now, you can solve for y.

y = 7/5 - 4/5 = 3/5

Answer:

? is 51°

Step-by-step explanation:

(65 + ?)/2 = 58

Solve for ?

? = 51

Answer:

Explanation:

Given:

To find:

the greatest common factor

To determine the above, we need to find numbers and terms common to both 6ab and 18a

The greatest common factor is 6a

Answer:

Step-by-step explanation:

To solve the inequalities 2x - 15 < -0.8 and 2x - 15 > 0.8, we will solve them separately and then combine the solutions.

First, let's solve the inequality 2x - 15 < -0.8:

2x - 15 < -0.8

Add 15 to both sides:

2x < 14.2

Divide both sides by 2 (since the coefficient of x is 2 and it is positive, we don't need to flip the inequality symbol):

x < 7.1

Now, let's solve the inequality 2x - 15 > 0.8:

2x - 15 > 0.8

Add 15 to both sides:

2x > 15.8

Divide both sides by 2:

x > 7.9

So, the solutions to the inequalities are:

x < 7.1 and x > 7.9

To write these solutions in interval notation, we can express them as separate intervals and then combine them using the union symbol (∪):

Interval 1: (-∞, 7.1)

Interval 2: (7.9, +∞)

Combining these intervals, the solution in interval notation is:

(-∞, 7.1) ∪ (7.9, +∞)

An equation for the total cars and trucks for dealership A is: x + y = 164.

An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.

The number of cars that dealership A sold is: 98 cars.

The number of trucks that dealership B sold is: 66 trucks.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:

Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;

x + y = 164.

Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;

2x + 0.5y = 229.

By solving the systems of linear equations simultaneously, we have:

2x + 0.5(164 - x) = 229

1.5x + 82 = 229

x = 98 cars.

For the y-value, we have;

2(98) + 0.5y = 229

0.5y = 229 - 196

y = 33/0.5

y = 66 trucks.

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Answer:

y = 1/4x - 7/2

Step-by-step explanation:

To answer this question, we have to use point-slope form:

y - y1 = m(x - x1)

Substitute the numbers into the variables:

y - (-4) = 1/4(x - (-2))

y + 4 = 1/4(x + 2)

y + 4 = 1/4x + 1/2

y = 1/4x - 7/2

To verify your answer, simply substitute the values into your equation:

-4 = 1/4(-2) - 7/2

-4 = -1/2 - 7/2

-4 = -8/2

-4 = -4

Answer:

  C.  65

Step-by-step explanation:

Compare to the standard form ...

  ax² +bx +c

to find the values of a, b, c. They are ...

  a=2, b=3, c=-7

The discriminant is ...

  d = b² -4ac

  d = (3)² -4(2)(-7) = 9 +56

  d = 65 . . . . . . matches choice C

Um we need a question to answer ur question

The count of numbers in the list a, a+1, a+2.... b is b - a + 1

The list of numbers is given as:

a, a+1, a+2.... b

From the above list, we can see that the numbers are consecutive numbers.

This means that, the count of numbers in the list is

Count = Highest - Least + 1

Where

Highest = b

Least = a

Substitute the known values in the above equation

Count = b - a + 1

Hence, the count of numbers in the list a, a+1, a+2.... b is b - a + 1

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Answer : 11 and 13

Step-by-step explanation:

Let the numbers be X and Y then,

By question

X= Y - 2 .....................(i)

2Y = 3X - 7 ...............(ii)

putting the value of X from (i) on equation (ii) we get,

2Y = 3(Y - 2) - 7

2Y = 3Y - 6 - 7

2Y - 3y = - 13

-Y = - 13

Y = 13

now putting value of Y in equation (i)

X = 13 - 2= 11

hence those numbers are 11 and 13 respectively

Answer: A

Step-by-step explanation:

First, let's rewrite the given equation to have the constant term on the right side:

2x^2 + 12x = 32

2x^2 + 12x - 32 = 0

To use the completing the square method, we need to make the coefficient of the x^2 term equal to 1. We can do this by dividing the entire equation by 2:

x^2 + 6x - 16 = 0

Now, we will complete the square for the quadratic expression on the left side. To do this, we take half of the coefficient of the x term (6/2 = 3) and square it (3^2 = 9). Then, we add and subtract this value inside the parenthesis:

x^2 + 6x + 9 - 9 - 16 = 0

Now, the left side of the equation has a perfect square trinomial:

(x^2 + 6x + 9) - 25 = 0

The trinomial can be written as a square of a binomial:

(x + 3)^2 - 25 = 0

Now, let's move the constant term to the right side of the equation:

(x + 3)^2 = 25

The perfect square trinomial for the problem is (x + 3)^2 = 25

Answer:

7\11

Step-by-step explanation:

you just multiply to get an integer then convert that

Answer:

The vertical line test can be used to determine whether a graph represents a function. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.

Step-by-step explanation:

(a) Given \(f(x) = x^3\), the derivative is

\(f'(x)=3x^2\)

which is exists for all \(x\) in the domain of \(f\), so \(]f\) is differentiable everywhere and satisfies the mean value theorem. There is some number \(c\) in the open interval (0, 2) such that

\(f'(c) = \dfrac{f(2) - f(0)}{2-0} \iff 3c^2 = \dfrac{8-0}2 = 4\)

Solve for \(c\) :

\(3c^2 = 4 \implies c^2 = \dfrac43 \implies \boxed{c = \dfrac2{\sqrt3}}\)

We omit the negative square root since it doesn't belong to (0, 2). Graphically, the MVT tells us the tangent line to the curve \(f(x)=x^3\) at \(x=\frac2{\sqrt3}\) is parallel to the secant line through the endpoints of the given interval.

(b) \(f(x)=1+x+x^2\) has derivative

\(f'(x)=1+2x\)

By the MVT,

\(f'(c) = \dfrac{f(2)-f(0)}{2-0} \iff 1+2c = \dfrac{7-1}2 \implies \boxed{c = 1}\)

(c) \(f(x) = \cos(2\pi x)\) has derivative

\(f'(x) = -2\pi \sin(2\pi x)\)

By the MVT,

\(f'(c) = \dfrac{f(2)-f(0)}{2-0} \iff -2\pi \sin(2\pi c) = \dfrac{0-0}2 \implies \sin(2\pi c) = 0 \\\\ \implies 2\pi c = n\pi \implies c = \dfrac n2\)

where \(n\) is any integer. There are 3 solutions in the interval (0, 2),

\(\boxed{c = \dfrac12, c = 1, c = \dfrac32}\)

(Pictured is the situation with \(c=\frac12\))

Based on the information given, the price of the zero coupon bond is $692.04.

To calculate the price of a zero coupon bond, we need to use the following formula:

\(\sf P =\dfrac{F}{1+r\div n}^{(nt)\)

Where:

Also, the annual interest rate is 7.50%, which is the market interest rate, and the compounding is semiannual, which means n = 2. Finally, the time to maturity is 5 years.

Plugging in the values into the formula, we get:

\(\sf P = \dfrac{1000}{(1+0.075\div2)^{(2\times5)}}\)

\(\sf P = \dfrac{1000}{(1.0375)^{10}}\)

\(\sf P = \dfrac{1000}{1.4450}\)

\(\sf P = \$692.04 \ \ (rounded \ to \ the \ nearest \ cent)\)

Therefore, the price of the zero coupon bond is $692.04.

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Answer:

Angle: 82.5°

Complement of the angle: 7.5°

Step-by-step explanation:

Set the complement of the angle as ∠x. The angle itself is 11 * m∠x.

Thus:

m∠x + 11 * m∠x = 90

12 * m∠x = 90

m∠x = 7.5°

So, the complement must be 7.5° and the angle itself must be 82.5°.

The simplified expression of -7(3z + 5t - 3g) is  -21z - 35t + 21g.

An algebraic expression consists of unknown variables, numbers and arithmetic operators such as addition, subtraction, multiplication etc.

To simplify an expression means to write an equivalent expression which contains no similar terms.

Therefore, let's simplify the expression as follows:

-7(3z + 5t - 3g)

Hence, open the brackets

-7(3z + 5t - 3g) = -21z - 35t + 21g

Therefore, the simplified expression is -21z - 35t + 21g.

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The statement that is most likely correct for the negatively skewed data distribution given is B. The mean is less than the median.

What is a Negatively Skewed Data Distribution?

A negatively skewed data distribution has the tail to the left of the number line, and therefore its median is usually greater than its mean.

The dot plot shows a data distribution that is negatively skewed. Therefore, the statement that is most likely to be true is B. The mean is less than the median.

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9514 1404 393

Answer:

  (b) 3x^2 +6x+4

Step-by-step explanation:

  (6x+7+x^2)+(2x^2-3)

  = (1 +2)x^2 +(6)x +(7 -3) . . . . combine like terms

  = 3x^2 +6x +4

Answer:

3x ² + 6x + 4

Step-by-step explanation:

( 6x + 7 + x² ) + ( 2x² -3 )

6x + 7 + x² + ( 2 x² - 3 )

6 x + 7 + x² + 2x ² - 3

6 x + 7 - 4 + x² + 2x²

6x + 4 + 3x²

3x ² + 6x + 4

Answer:

Step-by-step explanation:

$3,456.00 + $3,298.00 + $1,235.00 + $750.00 - $2,450.00 = $6,289.00

Answer:

A,E

Step-by-step explanation:

Operation: Minus

To find how far Sam ran, we need to subtract 2.3 from Dean's distance of 6.8 km.

6.8 km - 2.3 km = 4.5 km

Therefore, Sam ran 4.5 km, since Dean ran 2.3 km fewer than Sam.

Answer:

a and e

Step-by-step explanation:

got it right on homework

Answer: D. Simple Random Sampling

Step-by-step explanation: When selection is made or based on chance which is equal or the same for all members within a population. In the scenario described above, there is no prior shuffling, arrangement or segregation of members within the population into groups or subgroups, rather the interviewed voters were chosen at random directly from within the larger population based on equal chance. Therefore voters already have their numbers, then using a random number generator, voters whose number corresponds were interviewed is a clear scenario of simple Random Sampling.

Using sampling concepts, it is found that the correct option is:

d. simple random sampling

Samples are classified as:

In this problem, a random number is generated to select each voter, hence it is a simple random sampling, and option d is correct.

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Answer:

-9

Step-by-step explanation:

x+5 less than or equal -4

x lessthan orcequal -4-5

x less than or equal -9