Which system has infinitely many solutions?

Answer:

m = 35

n = 110

Step-by-step explanation:

70/2 = 35

70 + 70 = 140

360 - 140 = 220

220/2 = 110

Answer:

I think its 132.

The total surface area of the triangular prism is 200 cm².

Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area)

First, find the height of the prism.

Let h is the height of the prism

Use the pythagoras theorem

then

5² = (6/2)² + h²

5² = 3² + h²

25 = 9 + h²

h² = 25 - 9

h² = 16

h =4

Now apply the surface area formula

total surface area = ( 5 + 5 + 6) 11 + 6×4

                             = 16 × 11 + 24

                             = 176 +24

                             = 200 cm²

Hence the surface area is 200 cm²

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Answer:

D

Step-by-step explanation:

I've attached one of those tables below

I'm going to solve this using the FV annuity formula

[tex]R(\frac{(1+i)^n-1}{i})[/tex]

where i is the effective rate of interest

r is the payment

n is the number of periods

to find the effective rate of interest we need to divide .08/2 (because the interest is compounding once every six months)

and the number of periods is 4*2 (because there are two periods a year(

[tex]1500(\frac{(1+.04)^8-1}{.04})=13821.33[/tex] which is equal to D

To use the table go to the effective rate of interest (4%) and then number of periods (8)

The number is 9.2142

mulitply that by the payment (1500) and get 13821.3 (D)

*the reason that the answers are slightly different is because the annuity table rounded whereas in the formula it was more exact*

9514 1404 393

Answer:

  D.  $13,821.30

Step-by-step explanation:

The table is given in terms of interest rate per period and number of periods. The table assumes that money is invested at the same interval that interest compounding occurs.

Since you're investing $1500 every 6 months for 4 years, the 8% annual interest rate becomes 8%·(6/12) = 4% interest each 6-month period. In 4 years, there are 8 periods of 6 months. So, you look for the multiplier shown in the table that is at the intersection of 4% interest and 8 periods.

That multiplier is 9.2142, so the future value is ...

  FV = amount invested per period × multiplier from table

  = $1500 × 9.2142 = $13,821.30

__

The above is how you use the table.

You can also choose the correct answer based only on your number sense, without bothering with the table.

You are paying into the annuity 8 payments of $1500 each. That is a total input of 8 × $1500 = $12,000. You will be earning interest on that money, so the future value of the annuity is more than $12,000. Only one answer choice fits that description:

  D.  $13,821.30

Answer:

X= -20

Step-by-step explanation:

Answer:

The answer is b

Step-by-step explanation:

Answer:

25.13

Step-by-step explanation:

C = 2πr

C = 2π(4)

C = 25.13

Hope this helps!

Answer:

It would be the fourth one

Step-by-step explanation:

Answer:

 ^^

Step-by-step explanation:

Answer:

You didn't add the range. I'll use (0<x<2π)

cosx = -1/2

x=-cos-¹(1/2)

x= -60°

Cosine is negative in the second and 3rd quadrants

180-x ---- Second quadrant

x+180 ----- 3rd quadrant

So

Our answer

180-(-60)=240° or 4π/3 second quad

180+(-60) = 120° or 2π/3---- 3rd quad

Answer:

wdym

Step-by-step explanation:

i dont get it

Step-by-step explanation:

1 reflection 2.rotation 3 reflection 4 rotation

Answer:

D)  x = -3

Step-by-step explanation:

Answer: a=0 hope that helps sorry i don't have time to explain bye !

Step-by-step explanation:

Answer:

42.25 feet ³

Step-by-step explanation:

Volume of the box = length × width × height

Length = 6 1/2 feet = 6.5 feet

Width = 3.25 feet

Height = 2 feet

Volume of the box = length × width × height

= 6.5 feet × 3.25 feet × 2 feet

= 42.25 feet ³

Volume of the box = 42.25 cubic foot

Answer:

Step-by-step explanation:

Was the latter half of this function, -64 / 2x + 14, meant to be:

-64 / 2x              +              14, or

-64 / (2x + 14)?

In the first case the vertical asymptote is x = 0.

In the second, the vertical asymptote is the root of 2x + 14, or x = -7

Use parentheses in problems such as this one, to eliminate ambiguity.

Answer:

110

Step-by-step explanation:

Answer:

60w+90

Step-by-step explanation:

That would be the simplified expression

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Answer:

  -12dx +15ex +9fx

Step-by-step explanation:

  - 3x * (4d - 5e - 3f) = (-3x)(4d) +(-3x)(-5e) +(-3x)(-3f)

  = -12dx +15ex +9fx

9514 1404 393

Answer:

  3√3 square units

Step-by-step explanation:

The area of a regular n-sided polygon with radius r is given by the formula ...

  A = (n/2)r²·sin(360°/n)

For n=3 and r=2, the area is ...

  A = (3/2)(2²)·sin(360°/3) = 6·sin(120°) = 6(√3/2)

  A = 3√3 . . . . square units

_____

Alternate solution

The center of this polygon is the centroid, which divides each median into parts with the ratio 2:1. This means the given radius is 2/3 of the height of the triangle. The base of the triangle is 2/√3 times the height, so is ...

  b = (2/√3)(3) = 2√3

The area using these dimensions is calculated as ...

  A = 1/2bh

  A = 1/2(2√3)(3) = 3√3 . . . . square units

Answer:

The answer is: u-3>-6

This is because 10-3=7 and 7>-6

Answer:

0.6832

Step-by-step explanation:

Given :

Mean, m = 52

Standard deviation, s = 7

-1.2 standard deviation of average = 57 - 1.2(7) = 57 - 8.4 = 48.6

2 standard deviations of average = 57 + 2(7) = 57 + 14 = 71

Zscore = (48.6 - 52) / 7 = - 0.486

Zscore = (71 - 52) / 7 = 2.714

P < -0.486) = 0.31348

P < 2.714 = 0.99668

P < 2.714 - P < -0.486 = (0.99668 - 0.31348) = 0.6832

Answer:

answer is D I think

Step-by-step explanation:

.............

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Answer:

  no iterations shown; the root is approximately -1.12911

Step-by-step explanation:

If your method of successive approximation is the Bisection Method, and if your initial interval is [-2, -1], then successive values of x used for reducing the interval are ...

  -1.5, -1.25, -1.125, -1.1875, -1.15625

__

If your method of successive approximation is Newton's method, and if your initial guess is -1.5, then successive values of x will be ...

  -1.1905079, -1.1309053, -1.1291151, -1.1291135

Another iteration confirms this last value is accurate to 8 significant figures.

Answer:

-5/4

-9/8

-19/16

Step-by-step explanation:

This is the answer given

Answer:

0.35

Step-by-step explanation:

j.g susghe yo s9ss9sssisjwus

Answer: D) 385.2

What you give me in the comments 1,540.7......789.4.....1,155.5.....385. I think that was the choice for me to put what kind of answer you want!

Step-by-step explanation: Hope this help :D

Answer:

x=-3

Step-by-step explanation:

Hi there!

1) Determine the slope

Parallel lines always have the same slope. However, the given line x=8 is a vertical line organized in the form x=d, where d is the x-intercept. Therefore, the slope is undefined, and our line will also have an undefined slope.

Now, because this line will also be a vertical line, it will also be organized like:

x=d

2) Determine the x-intercept (d)

Note that all the points a vertical line passes through will have the same x-coordinate. We're given that this line passes through the point (-3,-2), so therefore, the x-intercept will be (-3,0).

Plug this into x=d:

x=-3

I hope this helps!

Answer:

B,E

Step-by-step explanation:

(5,0) (5=x, 0=y)

A is false because y = 0

B is true because x=5

c is false because y = 0

D is false because again y = 0

E is true because 5,0 is on the x axis

- Gage Millar, Algebra 2 tutor

Answer:

Yes

Step-by-step explanation:

We can substitute the point (2, 2) into the equation. So, in place of x would be 2 and in place of y would be 2 as well:

y = 6 - 2x

2 = 6 - 2(2)

2 = 6 - 4

2 = 2

Since the above is a true statement, the point (2, 2) must belong to the line y = 6 - 2x

Yes, the line y=6-2x passes through the point (2, 2).

Given that, the line y=6-2x passes through the point (2, 2).

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

Here, substitute (x, y)=(2, 2) is the given line y=6-2x, we get

2 = 6-2(2)

2 = 2

Since, LHS = RHS

Yes, the line y=6-2x passes through the point (2, 2).

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The value of QR in the triangle is 16 units

Recall that Congruence of triangles represents the similarity of triangles. Two triangles are congruent if their corresponding sides and angles are congruent

The question states that  ΔPML≅ΔTRQ

This implies that ML/QR = PM/TR

⇒(7x-9)/2x+2  = 35/14

Cross and multiplying we have

14(7x-9) = 35(2x+2)

=98x-126 = 70x +70

98x-70x = 70+126

⇒28x = 196

Making x the subject of the formula

x= 196/28 = 7

Recall that the side QR = 2x+2

Then by substitution,

2(7) +2

14+2 =16

This therefore keeps the side QR as 16 units.

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Answer:

x=0

y= x + 8

Step-by-step explanation:

find the oblique asymptotes using long polynomial divison

Answer:

24

Step-by-step explanation:

41-17=24

Step-by-step explanation:

Consider LHS

[tex] \cos(x) + \sin(x) \tan(x) = \sec(x) [/tex]

Apply quotient identies

[tex] \cos(x) + \sin(x) \times \frac{ \sin(x) }{ \cos(x) } = \sec(x) [/tex]

Multiply the fraction and sine.

[tex] \cos(x) + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x) [/tex]

Make cos x a fraction with cos x as it denominator.

[tex] \cos(x) \times \cos(x) = \cos {}^{2} (x) [/tex]

so

[tex] \frac{ \cos {}^{2} (x) }{ \cos(x) } + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x) [/tex]

Pythagorean Identity tells us sin squared and cos squared equals 1 so

[tex] \frac{1}{ \cos(x) } = \sec(x) [/tex]

Apply reciprocal identity.

[tex] \sec(x) = \sec(x) [/tex]

Answer:

Radius = 21

Step-by-step explanation:

Volume of a sphere = 4/3 * pie * radius^3

12,348 pie = 4/3 * pie * radius ^3

12,348 = 4/3 * radius^3

(12,348 * 3)/ 4 = radius^3

9261 = radius^3

radius = [tex]\sqrt[3]{9261}[/tex]

radius = 21

Answer:

Step-by-step explanation: