Evaluate the expression with its given values. 5 x − 2 y ; x = 2 , y = − 1

x = 74 degrees is the angle

Let x = the angle

then

(180-x) is the supplement of x

and

(90-x) is the complement of x:

"The supplement of an angle is 26 more than 5 times its complement."

(180-x) = 26 + 5(90-x)

180 - x = 26 + 450 - 5x

-x + 5x = 26 + 450 - 180

4x = 296

x = [tex]\frac{296}{4}[/tex]

x = 74 degrees is the angle

5 times its complement.

(180-74) = 26 + 5(90-74)

106 = 26 + 5*(16)

106 = 26 + 80; confirms our solution

In  elementary geometry , an angle  is that the  figure formed by two rays, called  the edges  of the angle, sharing  a standard  endpoint, called the vertex of the angle. Angles formed by two rays  dwell  the plane that contains the rays. Angles also are  formed by the intersection of two planes. These are called dihedral angles. Two intersecting curves  can also  define an angle, which  is that the  angle of the rays lying tangent to the respective curves at their point of intersection.

Angle is additionally  used to designate the measure of an angle or of a rotation. This measure  is that the  ratio of the length of a circular arc to its radius.  within the  case of a geometric angle, the arc is centered at the vertex and delimited by  the edges .  within the  case of a rotation, the arc is centered at  the middle  of the rotation and delimited by any other point and its image by the rotation.

Potentially, an angle denoted as, say, ∠BAC, might  ask  any of four angles: the clockwise angle from B to C, the anticlockwise angle from B to C, the clockwise angle from C to B, or the anticlockwise angle from C to B, where the direction  during which  the angle is measured determines its sign (see Positive and negative angles).

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Answer:

(-2x+1)x(6x+1)x(1+2x-8x^3-16x*4)

Step-by-step explanation:

Answer

Domain: 1 < x < 5

Range: -10 < y < 2

Step-by-step explanation

First, we need to graph the function. The function is just a linear function, but arranged differently. You can rearrange it to be:

[tex]f(x) = -3x + 5[/tex]

Now graph the function. The slope of it should be -3, and the y-intercept is 5.

To find the domain, just use the relation of the x values given with the function (1 < x < 5).

To find the range, plug the smallest and largest values of the domain into the function given. 1 and 5 should be the numbers you are plugging in. The outputs will be the range. Remember that negative numbers are smaller than positive numbers, so the negative number should be on the left.

Answer:

3/4 is greater

Step-by-step explanation:

If you change them both into decimals.  You can see that 3/4 is larger

3/4 = .75

11/16 = .6875

Put in your calculator 3÷4 and 11÷16

Answer:

3/4 is larger because

[tex]\frac{3}{4}[/tex]*[tex]\frac{4}{4}[/tex]=[tex]\frac{12}{16}[/tex]                              [tex]\frac{12}{16}[/tex] > [tex]\frac{11}{16}[/tex]

Step-by-step explanation:

When making the denominators equal it is clear to see that 3/4 which is equal to 12/16 is greater than 11/16.

The change in temperature from morning to night is ₋18°F which means the temperature decreased from morning to night.

Given the temperature in the morning is ₋10°F

and temperature in the night is 8°F

To calculate the difference, subtraction is used between the starting and final temperatures. In other words, if something starts at 50 degrees Celsius and ends up at 75 degrees C, the temperature difference is 25 degrees C, or 75 degrees C minus 50 degrees C. The outcome is adverse for drops in temperature.

change in temperature from morning to night  = ₋10°F ₋ 8°F

= ₋18°F

the result is negative, hence the temperature decreases from morning to night.

Hence we get the temperature change as ₋18°F.

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To determine customer opinion of their musical variety, sony randomly selects 120 concerts during a certain week and surveys all concertgoers. The type of sampling is used is "Cluster."

A survey is a technique of gathering information from a sample of people by asking relevant questions with the goal of understanding populations as a whole.

Some key features regarding the survey are-

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Redbox is used by 136 people.

To find how many people use red boxes:

Given:

A survey was given asking whether they watch movies at home from Netflix, Redbox, or a video store.

Then,

Therefore, Redbox is used by 136 people.

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The complete question is given below:
A survey was given asking whether they watch movies at home from Netflix, Redbox, or a video store. Use the results to determine how many people use Redbox.

52 only use Netflix

62 only use Redbox

24 only use a video store

16 use only a video store and Redbox

48 use only Netflix and Redbox

30 use only a video store and Netflix

10 use all three

25 use none of these

Answer: $0.80

Step-by-step explanation:

2.01/2.5=

0.804=

0.804=$0.80

Separate the variables.

[tex]\dfrac{dy}{dx} = x (x - 3) \implies dy = x (x - 3) \, dx[/tex]

Expand the right side.

[tex]dy = (x^2 - 3x) \, dx[/tex]

Integrate both sides. On the right side, use the power rule on each term.

[tex]\displaystyle \int dy = \int (x^2 - 3x) \, dx \implies y = \frac{x^3}3 - \frac{3x^2}2 + C[/tex]

Given that [tex]y=3[/tex] when [tex]x=2[/tex], solve for [tex]C[/tex].

[tex]3 = \dfrac{2^3}3 - \dfrac{3\cdot2^2}2 + C \implies C = \dfrac{19}3[/tex]

Then the particular solution is

[tex]\boxed{y = \dfrac{x^3}3 - \dfrac{3x^2}2 + \dfrac{19}3}[/tex]

In linear equation , x = 36 is the total cost, y, depends on the number of students going, x.

What in mathematics is a linear equation?

Tickets cost  for the club adviser =  $21.25

cost for each student who goes = $14.75

Based on the given conditions, formulate x = $21.25 + $14.75

Calculate the sum or difference x = 36

get the result x = 36

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The necessary inequality is denoted by the symbol.

-40< x <118

This is further explained below.

Generally, Find an inequality that represents the potential landing or takeoff circumstances of an aircraft, the needed graph, and one example where the inequality will be evaluated.

Find an inequality that represents the possible landing or takeoff conditions of an aircraft.

The necessary inequality is denoted by the symbol.

-40<x<118

The temperature range in which the aircraft is possible to take off or land is shown by the graph.

Due of the high temperatures in Phoenix, Arizona in June of 1990, the pilot could not have safely taken off.

Let us represent the temperature with the symbol x

Therefore, the temperature must be above or equal to.

-40F so x>-40

Therefore, the temperature can't be at or higher than.

118F so x<118

The disparity between them will be.

-40<x<118

It is possible to observe from the graph that the area colored in gray encompasses all of the points that lie between -40 and 118, but it will not include the points -40 and 118.

The temperature range in which the aircraft is possible to take off or land is shown by the graph.

In June of 1990, the temperature in Phoenix, Arizona, reached a high of degree 122degree, which is higher than 118F

Because of this, it is impossible for the pilot to have taken off on this day.

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Answer:

he chose the option A 8 once for $ 1.44

Answer: f(-8)=-144

Step-by-step explanation:

f (x)=-x^2+10x

f (-8)=

-(-8)^2+10(-8)=

-64+(-80)=

-64-80=

-(64+80)=-144

Answer:

Remove each x and put - 8

Step-by-step explanation:

(-8)^2+(10x_8)=-16

The value of c that satisfies the given inequality is c = 3.

Inequality is a conditional relation that compares two numbers or expressions in a way that is not equal. Commonly, it is used to contrast the relative sizes of two numbers on a number line.

From the given information, we are to find the values of c that satisfies the relation;

i.e 2 must be greater than the solution of any values of c that are put into the equation.

If c = 3

2 > 3/3

2 > 1    (the value of  c satisfy the given inequality)

If c = 6

2 > 6/3

2 = 2    (the value of c does not satisfy the given inequality)

If c = 9

2 > 9/3

2 < 3    (the value of c does not satisfy the given inequality)

Therefore, we can conclude that the value of c that satisfies the given inequality is c = 3.

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Answer: x = 21

Step-by-step explanation:

13/39 = 7/x

13/39 = 1/3 (divide each side by 13)

1/3=7/x

1/3=7/21 (multiply the numerator by 3 to get the denominator)

To solve the equation, subtract 2 from both sides. The solution is n = -13.

A linear equation is an equation of which the highest degree of its variables is 1.

Steps to solve linear equations:

Recall that if  we subtract or add the same number to both sides of an equation, it does not change the equality.

The given problem:

Solve n+2=-11

The variable is n. Isolate n by subtracting 2 from both sides:

n+2 - 2 = -11 - 2

n = -13 (solved)

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The approximate solution to this equation 4lnx-8=12 is 143.5.

The natural logarithm of a number is its logarithm to the base of the mathematical constant e, which is an irrational and transcendental number approximately equal to 2.718281828459.

The given equation is 4lnx-8=12

4lnx=20

lnx=5

lnx= logeX

logeX=5

x=e^5

that is approximately equal to 2.7^5= 143.5

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Answer:

8 3/123

Step-by-step explanation:

8024/1000 = 103/125 = 8 3/125

Answer: 8³/₁₂₅

Step-by-step explanation:

[tex]\displaystyle\\8.024=\\\\8\frac{24}{1000}=\\\\ 8\frac{3*8}{125*8}=\\\\8\frac{3}{125}[/tex]

Answer:

a. -11, 97, 6, 87

b. he didn't get over it

Step-by-step explanation:

a. The table shows you the grade in the upper row and in the lower row difference between upper row and 90. So to calculate lower row you need to do X-90 where X is upper row value. To calculate upper row you need to do X+90 where X is lower row value

so you get column 3:

79-90=-11

column 4:

90+7=97

column 5:

96-90=6

column 6:

-3+90=90-3=87

b. To answer this question we would need to simply sum all the values from the Above/Below row for all 6 columns:

-7+4+(-11)+7+6+(-3)= -7+4-11+7+6-3=-4. Since the value is negative it means it's below 90

Answer: The answer is D 6 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

Work for 30 hours in a week $10 per hour

The domain and the range for the given situation will be:

Domain = [0, 30]

Range = [0, 300]

Given that Josie earns $10 per hour at her job. Her hours vary, but she never works more than 30 hours in any given week,

We need to find the domain and range.

In this situation, the domain refers to the possible values for the input variable, which is the number of hours Josie works in a given week.

The range, on the other hand, refers to the possible values for the output variable, which is her earnings for the week.

For the domain:

Since Josie never works more than 30 hours in any given week, a reasonable domain for this function would be from 0 to 30 hours. We don't consider negative hours (as it doesn't make sense in this context), and the upper limit is set by her maximum weekly working hours.

Domain = [0, 30]

For the range:

The range should be the possible earnings Josie can make in a week based on her hourly rate of $10 per hour.

To find the range, we multiply her hourly rate by the maximum number of hours she can work in a week, which is 30 hours.

Range = [0, 10 x 30] = [0, 300]

So, the function that represents Josie's possible earnings for one week is:

Earnings = f(hours) = 10 x hours

Where "hours" is the number of hours she works in a week, and "Earnings" is the corresponding amount she earns.

The graph of this function will be a straight line passing through the origin (0, 0) and with a slope of 10, representing her earnings increasing linearly with the number of hours worked.

The line will extend up to the point (30, 300) and then flatten out as she cannot earn more than $300 in a week.

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If yacht is sailed from A to B on a bearing of 196ºT, the true bearing to sail directly back to point A from point B is 16° T.

To determine the true bearing from point B back to point A, we need to consider the relationship between true bearings and the reciprocal direction.

Given that the yacht is sailed from point A to point B on a bearing of 196° T (True), the reciprocal direction would be the opposite direction, 180° away on the compass.

Thus, to sail directly back to point A from point B, we would need to subtract 180° from the reciprocal direction.

Reciprocal direction - 180°

Therefore, the true bearing from point B back to point A would be:

196° T - 180° = 16° T

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Answer:

-(2x+6)=4x

-2x-6=4x

-2x-4x=6

-6x=6

X = - 1

Answer:

b) (-3)⁶/(-3)⁴

Step-by-step explanation:

Given that,

→ (-3)⁴/(-3)²

→ 81/9 = 9

Then the equivalent expression is,

→ (-3)⁶/(-3)⁴

→ 729/81 = 9

Hence, option (b) is correct.

Answer:

Umm where is the question my dude

The cost of one hamburger and one hot dog = $10.4 and $7.25.

a connection between two or more factors that results in a linear model when displayed on a graph. The variable will have a degree of one.

Y = mx + c is the linear equation.

where the line's y-intercept is represented by c and its m-slope by a slope.

x + y = 17.65                     ...(1)

22x + 39y = 511.55          ...(2)

22(17.65 - y) + 39y = 511.55

388.3 - 22y + 39y = 511.55

17y = 123.25

y = $7.25

x + 7.25 = 17.65

x = 17.65 - 7.25

x = $10.40

The cost of the hamburger and hot dog will be $10.4 and $7.25

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The probability of selecting a 5 and the coin landing on head is 1/26

In this question, a card is drawn at random from a standard pack of playing cards and fair coin is flipped.

Here, we have two different sample spaces to work with and we want to calculate a compound probability.

Firstly in a deck of cards which contain a total of 52 cards, there are 4 cards labeled 5.

So, the probability of selecting a 5 is:

4/52 = 1/13

Also, in a flip of coin the probability of the coin landing on head is 1/2

Thus the probability of selecting a 5 and the coin landing on head would be,

probability of selecting 5 × probability of the coins landing on head

= 1/13 × 1/2

= 1/26

Therefore, the probability of selecting a 5 and the coin landing on head is 1/26

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-5y+3=2(4y+12)

4 x 2 − 2 x − 2 x − 2 = − 1 2

x√x=-x

|x-a|= a2-x2

4 x 2 + 1 − 2 x 2 + 2 = 8