Marc just bought an SUV for 52,000. This is 7,600 less than twice what his wife paid for her car last year. How much did his wife pay (in dollars) for her car

Answer:

b. Considering your answer to part (a) and the possible outcomes listed above, how much total revenue (i.e., regular and premium) can be expected from ticket sales?

Answer:

i think its done like this

Answer:

12

Step-by-step explanation:

[tex] area = \frac{1}{2} \times \: base \times \: height \\ \frac{1}{2} \times 6 \times height \: = 36 \\ height \: = \frac{36}{3} \\ = 12 \: feet[/tex]

Answer:

28.1 ft

Step-by-step explanation:

d  =  350 * ( tan 10.5 - tan 6)  = 28.1 ft

Answer:

[ 5, ∞ )

Step-by-step explanation:

brackets on the ends of the interval indicate x can equal the value inside the bracket

parenthesis on the ends of the interval indicate x cannot equal the value inside the parenthesis.

x ≥ 5

expressed in interval notation as

[ 5, ∞ )

The diameter of the wheel of the truck is 3.33 feet.

A straight line that runs through the sideways of a body or figure, particularly a circle or sphere, is called as a diameter of a circle or sphere.

The distance around the wheel of a truck is 10.45 feet.

Let the diameter of the wheel = d feet.

Circumference of the wheel

= Distance around the wheel,

πd = 10.45 feet.

d = (10.45/π) feet.

Here, we take the π = 3.14.

So,

d = 3.326

d = 3.33

Therefore, the diameter is 3.33 feet.

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Answer:

Step-by-step explanation:

Given the first three terms of the expansion of (1 +x)^n are 1 +3 +4, you want the values of x and n, and the next term.

The first few terms of the binomial expansion of (1 +x)^n are ...

  [tex](1+x)^n=1^n+n\cdot1^{n-1}x+\dfrac{n(n-1)}{2}1^{n-2}x^2+\dfrac{n(n-1)(n-2)}{2\cdot3}1^{n-2}x^3+\dots[/tex]

Comparing the terms to those given, we have ...

  [tex]nx=3\\\\(nx)((n-1)x)/2=4[/tex]

Expanding the second of these equations, and substituting the first, we get ...

  [tex](nx)(nx -x)=8\qquad\text{multiply by 2}\\\\3(3-x)=8\qquad\text{substitute $nx=3$}\\\\9-8=3x\qquad\text{add $3x-8$}\\\\\boxed{x=\dfrac{1}{3}}\qquad\text{divide by 3}\\\\\dfrac{1}{3}n=3\qquad\text{substitute for $x$ in $nx=3$}\\\\\boxed{n=9}\qquad\text{multiply by 3}[/tex]

Then the fourth term is ...

  [tex]\dfrac{n(n-1)(n-2)}{6}x^3=\dfrac{9\cdot8\cdot7}{6}\cdot\left(\dfrac{1}{3}\right)^3=\boxed{\dfrac{28}{9}}[/tex]

__

Additional comment

Then the expansion is ...

  (1 +1/3)^9 = 1 + 3 + 4 + 28/9 + 14/9 + 14/27 + ...

The n-th term is (11-n)/(3(n-1)) times the term before.

Answer:

The bus journey takes 25 minutes (5 minutes per stop x 5 stops). The bus leaves the Railway Station every 10 minutes (the wait time between circuits).

The first departure is at 09:15, so the bus will arrive back at the Railway Station at:

09:15 + 25 minutes = 09:40

Bart will drive the bus for 4 circuits, so the bus will arrive back at the Railway Station for the final time at:

09:40 + (4 x 25 minutes + 4 x 10 minutes) = 09:40 + 130 minutes =

11:50.

So the final arrival time will be D 11:55.

Answer:

Step-by-step explanation:

Each circuit takes 25 minutes (5 destinations times 5 minutes) plus the 10 minute wait at the Railway Station.  So the entire circuit is 35 minutes with the wait.  Bart drives 4 circuits - 4 times 35 minutes is 140 minutes.

140 minutes equals 2 hours and 20 minutes.

Add 2 hrs and 20 minutes to 9:15 and the sum = 11:35

The answer is B -  11:35

Answer: 9n-7

Step-by-step explanation:

9n-7 because there are no like terms

A unit vector u in the direction opposite of ⟨−9,−2,−8⟩  is  ⟨-9/√(149) , -2/√(149) , -8/√(149) ⟩

What are vector equations ?

Vector equations allow for the creation of parametric curves. That is, points in space are formed for each value of the parameter by the equation of a vector, where each of its elements has a function with an independent variable that we refer to as a parameter.

Let unit vector u be = k⟨−9,−2,−8⟩.

√(81k^2 + 4k^2 + 64k^2) = 1

SO k = 1/√(149)

So a unit vector u in the direction opposite of v=⟨−9,−2,−8⟩ = (-9/√(149) , -2/√(149) , -8/√(149))

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The given relation {(-1, 1), (1, 1), (-2, 4), (2, 4)} is a function because: A. yes each input has exactly one output.

In Mathematics, a function can be defined as a mathematical expression which is typically used for defining and representing the relationship that exists between two (2) or more variables such as an ordered pair.

This ultimately implies that, a function is typically used in mathematics for uniquely mapping an input variable (domain) to an output variable (range).

In this context, we can reasonably infer and logically deduce that given relation is a function because each input variable (domain) has exactly an output variable (range) as illustrated below;

x      F(x)

-1       1

1        1

-2      2

2       4

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Answer:

maximum value = 2

Step-by-step explanation:

the maximum value of the function is the y- coordinate of its vertex

given a quadratic function in standard form

y = ax² + bx + c (a ≠ 0 )

then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = - x² + 2x + 1 ← is in standard form

with a = - 1 and b = 2 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{2}{-2}[/tex] = 1

to find the y- coordinate of the vertex, substitute x = 1 into y

y = - 1² + 2(1) + 1 = - 1 + 2 + 1 = 2

then maximum value of the function is 2

Answer:

if it is bracket than see explanation

darw a table with

x 3 5 -4

y 0 2 -7

taking x as 3 so

y= (3-1)-2

= 0

so like this do by 5 also and -4 too

and after solving plot in in the graph

Answer:

[tex]\boxed{x^2 - x - 6}[/tex]

Step-by-step explanation:

If a is the root of a polynomial then x-a is a factor of that polynomial

Since - 2 is a root, x -(-2) = x + 2 is a factor

Since 3 is a root, x - 3 is a factor

Multiplying the factors of a polynomial gives you the polynomial equation

So the polynomial equation is

[tex](x + 2)(x-3)[/tex]

Apply FOIL method:
[tex](x + 2)(x-3) \\\\= x\cdot x+ x\left(-3\right)+2x+2\left(-3\right)\\\\= x^2 -3x + 2x -6\\\\x^2 - x - 6\\\\Answer: \boxed{x^2 - x - 6}[/tex]

Answer:

$1850×4÷100×8=$592 as interest

Answer:

456.17

Step-by-step explanation:

Rounding to the nearest hundredths' is asking is the number given 456.173 closer to 146.170 or 146.171.   You can see that the number is closer to 146.170 which is the same number as 146.17

Rule

Look at the digit in the thousandths' place.  In this case 3.  If this number is 5 or greater round up, if this number is 4 or smaller round down.  We will round down.

456.17

Answer:456.17

Step-by-step explanation:

If the thousandth place is 5-9, for example 456.178, the answer rounded to hundredth place will be 456.18.

But if the thousandth place is 1-4, the answer rounded to hundredth will be 456.17.

So the answer is 456.17.

Answer:

Step-by-step explanation:

There is no difference between the population mean customer satisfaction scores for the two retailers, according to p-value: 0.33049.

chosen at random (purely random, unpredictable). Every person in the demographic being surveyed should have an equal chance of being chosen. She gave an example of a simple representative sample, choosing 25 names at random from a group of 250 employees. The sampling in this case is random since there are 250 of her coworkers in total, and every one has an equal chance of being picked. Researchers select people at random from a population using simple random sampling, which is a type of probability sampling. Every member of the population is given an equal chance at selection.

Given that,

mean(x)=86

standard deviation , σ1 =12

number(n1)=250

y(mean)=85

standard deviation, σ2 =12

number(n2)=300

null,  u1 = u2

alternate, H1: μ1 != u2

level of significance, alpha = 0.05

we got |zo | =0.973  & | z alpha | =1.96

(b) test statistic: 0.97

There is no difference between the population mean customer satisfaction scores for the two retailers, according to p-value: 0.33049.

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The equation perpendicular to the line is y= −1/2 x. Therefore, option B is the correct answer.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

In the given graph, the coordinates are (2, 3) and (0, -1)

Slope m=(-1-3)/(0-2)

= -4/(-2)

m=2

Substitute m=2 and (x, y)=(2, 3) in y=mx+c, we get

3=2(2)+c

c=-1

Substitute m=2 and c=-1 in y=mx+c, we get

y=2x-1

Find any equation perpendicular to the line.

y= −1/2 x

Therefore, option B is the correct answer.

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Answer:

Let's call the two numbers x and y. We know that:

y = x + 14 (because one number is 14 more than the other)

x + y + 7 = 83 (because the sum of the two numbers plus 7 is 83)

We can substitute the first equation into the second equation:

x + (x + 14) + 7 = 83

Simplifying this equation:

x + x + 14 + 7 = 83

2x + 21 = 83

2x = 62

x = 31

So one number is 31 and the other number is 45 (since one is 14 more than the other).

Answer: The hour hand of a clock makes one complete rotation, 360 degrees, in 12 hours or 720 minutes.

The hour hand of a clock turns 30 degrees in one hour or 0.5 degrees in one minute.

In this case, the hour hand is turned anticlockwise from 2 pm to 9 am, which is 21 hours.

So, it will have turned 21 * 30 = 630 degrees.

It is important to note that this answer only accounts for the rotation of the hour hand and does not take into account the rotation of the minute hand.

Step-by-step explanation:

The graph shows that the x-values increase as the y-values increase, which is consistent with the inequality x+4y ≤ 15. The y-values are all greater than or equal to 0, which is consistent with the inequality y ≥ 0.

Inequality is the unequal distribution of resources or opportunities among different individuals, groups, or social classes. It is a situation in which some individuals or groups have significantly more resources or opportunities than other individuals or groups. Inequality can be seen in terms of income, wealth, social class, access to education and health care, political power, or other factors. Inequality can be caused by systemic oppression and discrimination, or by the unequal distribution of resources within a society. It can have a negative impact on the ability of individuals and groups to meet their basic needs and achieve their full potential.

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Hope it helps.

If you have any query, feel free to ask.

Answer: $89

Step-by-step explanation: The equation would be P = 10(x) + 3(x-5) assuming P is profit and x is greater than 5. By pluggin in x, the number of hours, we can find that it is 89.

Answer: Santos will make $89

Step-by-step explanation:

Hour 1 - $10

Hour 2 - $10

Hour 3 - $10

Hour 4 - $10

Hour 5 - $10

Hour 6 - $13

Hour 7 - $13

Hour 8 - $13

Answer:

  DE = 9

Step-by-step explanation:

Given quadrilateral DEFG with DG≅EF, ∠FDG≅∠DFE, and markings EF=(6x+4), DG=(4x+8), and FG=(4x+1), you want the measure of DE.

The given congruences mean that the figure DEFG is a parallelogram. Opposite sides are the same length.

  EF = DG

  6x +4 = 4x +8

  2x = 4 . . . . . . . . subtract (4x+4)

  x = 2 . . . . . . . . divide by 2

Now, we can find FG.

  FG = 4x+1 = 4(2) +1 = 9

Opposite side DE is the same length:

  DE = 9

__

Additional comment

You can prove ΔEFD ≅ ΔGDF using SAS. Then CPCTC tells you corresponding parts of the triangles are congruent: DE≅FG.

Therefore , the solution of the given problem of scatter plot comes out to be Line 3 to the right of the graph is best fit line.

Line of best fit refers to a line through a scatter plot of data points that best expression the relationship between those points.The graphs that show the association between two variables in a data set are called scatter plots. It displays data points either on a Cartesian system or a two-dimensional plane.

Here,

In the xy plane, a scatter plot is displayed. The x-axis has values from 0 to 9 with 1 increments, while the y-axis has values from 0 to 9 with 1 increments.

On the x-axis, data points range from 0 to 3; on the y-axis, they range from 0 to 8.5. There are three lines marked Line 1, Line 2, and Line 3. Line 1 connects the points in a way that places the majority of the points on the left of the line,

Line 2 connects the points in a way that places the majority of the points on both sides of the line, and Line 3 connects the points in a way that places the majority of the points on the right of the line.

Line 3 to the right of the graph is best fit line

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The expression is 18/a

An algebraic expression can be described as mathematical expressions consisting of variables, coefficients, terms, factors and constants.

They are also made up of arithmetic operations, such as;

A quotient can be defined as a quantity determined  by the division of two numbers.

From the information given, we have that;

the quotient of 18 and a number a

This is represented as;

18/a

Hence, the representation is 18/a

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Answer:

y=1/6x+2 is the slope formula.

The equation of a line passing through the point (0,2) and having slope 1/6 is: x-6y+12=0

Step-by-step explanation:

Equation of a line passing through a point (x1,y1) and having slope m is: [tex]y-y_{1} =m(x-x_{1} )[/tex]

where m= slope of the line

Given point (x1 , y1)= (0 , 2)

So, the Equation of a line: [tex]=y-y_{1} =m(x-x_{1} )[/tex]

[tex]y-2 =(\frac{1}{6} )(x-0 )[/tex]

[tex]y-2 =(\frac{1}{6} )(x)[/tex]

[tex]6*(y-2) =(x)[/tex]

[tex]6y-12=x[/tex]

[tex]6y-12-x=0[/tex]

[tex]-x+6y-12=0[/tex]  OR [tex]x-6y+12=0[/tex]

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Answer: it should be 946, maybe you worded Wong

Step-by-step explanation:

o obtain an estimate for the computation 348 + 598, we can round the two numbers to the nearest ten.

348 rounded to the nearest ten is 350

598 rounded to the nearest ten is 600

So, our estimate for the sum of 348 + 598 is 350 + 600 = 950

Using a calculator, the actual computation is 348 + 598 = 946

Our estimate of 950 is 4 more than the actual answer of 946. This means that our estimate is slightly higher than the actual answer. This is not a big difference and it is reasonable as the numbers are rounded to nearest 10.

The value of expression is ,

10) 6

11) 18

12) 2

13) 4

14) [tex]\frac{1}{4}[/tex]

15) [tex]\frac{1}{3}[/tex]

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.

Here the given expression

10) 7+x+(-3)

Put x=2 then

=> 7+2-3

=> 7-1 = 6

11) 4[tex]x^2[/tex]+2

put x=2 then

=> [tex]4*2^2+2[/tex]

=> 4*4+2

=> 16+2=18

12) Ix+10I

put x=-12 then

=> I-12+10I

=> I-2I = 2

13) |2x + 1|

put x= 3/2 then

=> I2*[tex]\frac{3}{2}[/tex]+1I

=> I3+1I

=> I4I = 4

14)(x - 3)/4

put x=4 then

=> [tex]\frac{4-3}{4}[/tex]

=> [tex]\frac{1}{4}[/tex]

15) (5 - x)/6

put x=3 then

=> [tex]\frac{5-3}{6}[/tex]

=> [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex]

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Answer: We can write an inequality to show how many hours of television Julia can still watch this week by using the following information:

Julia is allowed to watch no more than 6 hours of television a week.

So far this week, she has watched 2.5 hours.

We can use the inequality x + 2.5 <= 6, where x is the number of hours Julia can still watch this week.

This inequality represents the total number of hours watched (x + 2.5) being less than or equal to the maximum number of hours allowed (6).

To solve this inequality, we can subtract 2.5 from both sides:

x <= 6 - 2.5

x <= 3.5

So, Julia can still watch 3.5 hours of television this week.

Step-by-step explanation:

Answer:

The remaining hours of TV Julia can watch this week can be expressed as

[tex]x \leq 3.5hours[/tex]

Step-by-step explanation:

since Julia is allowed not to watch not more than 6 hours of television a week and she has watched 2.5 hours already

the remaining time (X)  would be expressed as

[tex]x \leq (6 - 2.5)[/tex]

[tex]x \leq 3.5[/tex]