MATHEMATICS HIGH SCHOOL

John Gray bought a basic car for $32,750.00, with options that cost $375.00. There's a 6% sales tax in his state and a combined $50.00 license and registration fee. What was John's total cost?A. $35,165.50
B. $33,175.00
C. $35,140.00
D. $35,162.50

Answers

Answer 1
Answer: D. 32,750+375=33,125
6% of that is 1,987.5.
1,987.5+33,125+50=
$35,162.50

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Line AB contains points A (1, 2) and B (−2, 6) The slope of line AB is a)zero b)undefined c)positive d)negative The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD? Line CD contains points A (4, 6) and B (−2, 6). The slope of line CD is Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (−2, 2). Lines QR and ST are The equation of line QR is y = negative 1 over 2x + 1. Write an equation of a line perpendicular to line QR in slope-intercept form that contains point (5, 6). The equation of line CD is y = −2x − 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5). Line QR contains (2, 8) and (3, 10) Line ST contains points (0, 6) and (−2, 2). Lines QR and ST are parallel because the product of the slopes is −1 perpendicular because the product of the slopes is −1 parallel because the slopes are the same perpendicular because the slopes are the same Question 2 (06.02 LC) The equation of line CD is (y−3) = − 2 (x − 4). What is the slope of a line perpendicular to line CD? 1 over 2 2 negative 1 over 2 −2 Question 3 (06.02 LC) Line CD contains points A (4, 6) and B (−2, 6). The slope of line CD is zero undefined positive negative Question 4 (06.02 MC) The equation of line QR is y = negative 1 over 2x + 1. Write an equation of a line perpendicular to line QR in slope-intercept form that contains point (5, 6). y = 2x + 16 y = negative 1 over 2x + 17 over 2 y = − 1 over 2x + 7 over 2 y = 2x − 4 Question 5 (06.02 MC) The equation of line CD is y = −2x − 2. Write an equation of a line parallel to line CD in slope-intercept form that contains point (4, 5). y = −2x + 13 y = negative 1 over 2x + 7 y = 1 over 2x + 3 y = − 2x − 3

Find the GCF of the given polynomial.

8x^6y^5 - 3x^8y^3

Answers

8x^6y^5 - 3x^8y^3
x^6y^3(8y^2) - x^6y^3(3x^2)
x^6y^3(8y^2 - 3x^2)

Answer:

x^6y^3

Step-by-step explanation:

saw this on an assignment

A -In 2000 , The United States government owed about $5.63 trillion to its creditors . The population of the United States was 282.4 million people . How much did the government owe per person in 2000 / Round to the nearest dollarB) In 2005 , the bebt had growth to $7.91 trillion , with a population of 296.9 million
How much did the government owe per person ? Round to the nearest dollar.

c- What was the percent increase in the average amount owed per person from 2000 to 2005 ?

Thank you my friend ! please make sure you answer with all the step and information .

Answers

A

5.63 trillion=5.63 million, million

how much per person is
282.4 million
(5.63million, million)/(282.4 million)=(5.63 million)/(282.4)= (5,630,000)/(282.4)=19936.2
round
$19,936 per person


B same thing

7.91 trillion=7.91 million, million

how much per person is
296.9 million
(7.91million, million)/(296.9 million)=(7.91 million)/(296.9)= (7,910,000)/(296.9)=26641.9
round to nearest dollar
$26642




C. increase from
19,936 to 26,642
find difference
26,642-19,936=6706
percent increase=increase/original=6706/19936=0.336/1
percent means parts out of 100
.336/1 times 100/100=33.6/100=33.6%
aprox 34%



A. $19,936
B. $26,642
C. 33.6%

Find the volume of the solid generated by revolving the regionbounded by y=2(square root of sinx), y=0, and x(sub1)=pi/3,
x(sub2)=5pi/6 about the x axis. Round to the nearest
hundreth.

Answers

Answer:

Step-by-step explanation:

To find the volume of the solid generated by revolving the given region about the x-axis, we can use the method of cylindrical shells.

The region is bounded by the curves y=2sin⁡xy=2sinx

​, y=0y=0, x=π3x=3π​, and x=5π6x=65π​.

The volume of the solid can be calculated using the formula:

V=2π∫abx⋅f(x) dxV=2π∫ab​x⋅f(x)dx

Where aa and bb are the bounds of integration (in this case, π33π​ and 5π665π​), and f(x)f(x) is the height of the shell, which is given by f(x)=2sin⁡xf(x)=2sinx

​.

So, the volume can be calculated as:

V=2π∫π35π6x⋅2sin⁡x dxV=2π∫3π​65π​​x⋅2sinx

​dx

Before proceeding, let's simplify the integral by rearranging it:

V=4π∫π35π6xsin⁡x dxV=4π∫3π​65π​​xsinx

​dx

Now, use calculus techniques to evaluate this integral. Unfortunately, this integral does not have a simple closed-form solution. You'll likely need to use numerical integration methods or appropriate software to compute the value of the integral.

Once you've computed the integral, you'll have the volume of the solid generated by revolving the given region about the x-axis. Be sure to round the result to the nearest hundredth as requested.

Take a look at the figure. What are the coordinates of the point labeled A in the graph shown?A. (2, 2)
B. (–2, 4)
C. (2, –2)
D. (–2, 2)

Answers

The coordinates of the point labeled A in the graph shown is (2,-2). The 2 is in the x axis while -2 is in the y axis of the graph while point B is in coordinates (-2,-2) and  point C is in coordinates (-2,4).

What is the prime factorizations for 1050

Answers

 The prime faactorization for 1050 is: 2*3*5*5*7=1050 

The diagram, AB←→ || CD←→. Which pair of angles can be proven congruent?∠EIA≅∠KIJ

∠EIA≅∠GJI

∠GJB≅∠IKL

∠GJB≅∠JLK

Answers

Opposite angles at the intersection of two straight lines are congruent.
Answer is : A) ∡ EIA  and ∡ KIJ are congruent.

Answer:

∠EIA≅∠KIJ

Step-by-step explanation:            i have the answer right so i can proof that this is the answer.
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