A sequence is given by the equation a, = an 1-2. If a1 =12, what is the
value of the term of A4 ?

Answer:

Step-by-step explanation:

2x+17=3x-4(alternate angles)

21=x

3x-10+2x+30=180(linear pair)

5x+20=180

5x=160

x=32

Answer:

he makes $112.50

Step-by-step explanation:

first you have to find out how much he makes before tax is taken out. all you do is multiply 12.50 by 30, which gives you $375.00. then, you can either put in the calculator 30%375 or 0.3×375(both are the same thing) and you should get $112.50

Answer:

y - 4 = -2(x - 5)

Step-by-step explanation:

point slope form is  y-y1 = m(x-x1)

the original equation is given in slope intercept form y = mx + b

Parallel lines have equal slopes so from the given equation  y = -2x-3

the slope m = -2.

Use the given point (5,4) as (x1, y1).

y - 4 = -2(x - 5)

Answer:

[tex]\displaystyle y - 4 = -2(x - 5)[/tex]

Step-by-step explanation:

Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so −2 remains as is as you proceed with plugging the information into the Point-Slope Formula:

[tex]\displaystyle [5, 4] \\ \\ \boxed{y - 4 = -2(x - 5)}[/tex]

**Remember, all negative symbols give you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so make sure both operation symbols are correct.

I am joyous to assist you at any time.

Using the exponential distribution, it is found that there is a 0.2231 = 22.31% probability after a call is received, it takes more than 3 minutes for the next call to occur.

The exponential probability distribution, with mean m, is described by the following equation:

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability of finding a value higher than x is:

[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]

In this problem, the mean is of two minutes, hence the decay parameter is given by:

[tex]\mu = \frac{1}{2} = 0.5[/tex]

The probability that it takes more than 3 minutes for the next call to occur is given by:

[tex]P(X > 3) = e^{-0.5 \times 3} = 0.2231[/tex]

0.2231 = 22.31% probability after a call is received, it takes more than 3 minutes for the next call to occur.

More can be learned about the exponential distribution at https://brainly.com/question/18596455

Answer:

60

Step-by-step explanation:

The number is represented as x.

81 is added to a number is

81 + x

39 less than three times the number

3x - 39

So

81 + x = 3x - 39

Solve for x.

81 + x = 3x - 39 Add 39 to each side so 39 cancels on the right.

81 + x + 39 = 3x - 39 + 39

81 + x + 39 = 3x

81 + 39 + x = 3x

120 + x = 3x Subtract x from each side.

120 + x - x = 3x - x

120 = 3x - x

120 = 2x    Divide each side by 2

120/2 = 2x/2

120/2 = x

60 = x

Answer:

4626

Step-by-step explanation:

Answer: It's 2.) 4 is the answer

Answer:

1.916 just devide: 23÷12=1.916

Answer:

[tex]1.917[/tex]

Step-by-step explanation:

[tex] \frac{23}{12} \frac{ \times8.33333333 }{ \times 8.33333333} \\ = \frac{191.666667}{100} \\ = 1.917[/tex]

Answer:

16

Step-by-step explanation:

8/12 ÷ 1/12 = 8/12×24/1=192/12=16

The required number of books that can be fitted to the 8/12 yard long bookshelf is 16 books.

Given that,
A small bookshelf is 8/12 yards long. how many books can fit on the shelf if the width of each book is 1/24 yard is to be determined.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

here,
The total length of the shelf = 8 / 12 yard
Width of a book = 1 / 24 yard
So the total number of books that can be accumulated on the shelf will be the ratio of the total length of the shelf to the width of a book. So,
Total books = 8 / 12 / {1 / 24]
                    = 8 * 24 / 12
                    = 16

Thus, the required number of books that can be fitted to the 8/12 yard long bookshelf is 16 books.

Learn more about Ratio here:

brainly.com/question/13419413

#SPJ2

Answer:

acute and icosceles

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

You should substitute x = -1 to the f(x) and you will find:

[tex]f(-1)=\left(\frac{1}{2}\right)^{-1}=\frac{1}{2^{-1}}=2[/tex]

So, the answer for the ? is 2.

Answer:

0.05194805194 rounded to the nearest tenth is 0.1

Answer:

C

Step-by-step explanation:

A is incorrect because it doesn't list all of the factors of 20.

B is incorrect because it is listing the multiples of 20.

D is incorrect because is doesn't list all of the factors of 20.

Answer:

Question:  What is 40, percent of 10?

Answer:  4

Answer:

$7,500

Step-by-step explanation:

1500/2 750, 750x10=7,500

Answer:

Step-by-step explanation:

[tex] \sqrt{ {x}^{2} - {a}^{2} } \sqrt{ \frac{10}{a + x} } \\ = {( \sqrt{ {x}^{2} - {a}^{2} } \sqrt{ \frac{10}{a + x} })}^{2} \\ = ({x }^{2} - {a}^{2} ) \times ( \frac{10}{a + x} ) \\ = (x - a)(x + a) \times \frac{10}{a + x} \\ = (x - a) \times 10 \\ = 10(x - a) \\ [/tex]

Answer: C

Step-by-step explanation:

The side length is equal to the diameter, not the diagonal.

Answer:

A. 1
B. 3
C. 2
D. 5
E. 4
F. 6

Answer:

[tex]x = \sqrt{ {7}^{2} + {7}^{2} } \\ x= \sqrt{49 + 49} \\ x = \sqrt{98} \\ x= \sqrt{49 \times 2} \\ \boxed{x= 7 \sqrt{2} }[/tex]

What is the value of x in the triangle?

A. 7

B. 14

✓C. 7√2

D. 7√2/2

Answer:

Probability of owning one dog;

12/100 = 0.12

Probability of owning 2 dogs;

0.12 x 0.12 = 0.0144, but we make it a percent so:-

1.44%, there is a 1.44% probability that they both own a dog.

Answer:

Step-by-step explanation

There are many ways to prove this identity. But, I will use the simplest one. If you have a right triangle, the length of the horizontal side is x, the length of the vertical side is y, and the hypotenuse is r. So, the relation between x and r can be written in cosine form:

[tex]\cos\theta=\frac{x}{r}[/tex]

The relation between y and r can be written in sine form:

[tex]\sin\theta=\frac{y}{r}[/tex]

Pythagoras told you that for the right triangle [tex]x^{2}+y^{2}=r^{2}[/tex] should be satisfied. Substitute x and y from the cosine and sine form:

[tex](r\cos\theta)^{2}+(r\sin\theta)^{2}=r^{2}[/tex]

[tex]r^{2}\cos^{2}\theta+r^{2}\sin^{2}\theta =r^{2}[/tex]

the square of r will cancel out, and you can get your identity:

[tex]\cos^{2}\theta+\sin^{2}\theta=1[/tex]

Answer:

x = 14

Step-by-step explanation:

1/2(x - 4) = 5                     - Given

1/2x - (1/2 * 4) = 5             - Distribute

1/2x - 2 = 5                       - Multiply 1/2 by 4

1/2x = 7                             - Add 2 to both sides of the equation

x = 14                                 - Divide both sides of the equal by 1/2

Answer:

what flashlight

Step-by-step explanation:

Answer:

Flashlight.

Step-by-step explanation:

Which FlashLight are you looking for? Here are some Names and Explanations for them.

As a very general estimate, a low-lumen flashlight (under 50 lumens) will run for about 20-50 hours. A flashlight with 50-150 lumens will run for about 6-12 hours on it's highest setting, and high lumen flashlight or headlamp (over 150 lumens) will run about 2-8 hours on their highest settings.

Also most averge about 3 - 10 Inches.

Answer:

denote the number of hits that sanchez had with since washington had 18 more hits than sanchez we can say that washington had + 18 hits.

since the total number of hits is 308 we can write

+ ( + 18) = 308.

This is an equation for finding .

2 + 18 = 308

2 = 290

= 145.

so sanchez had 145 hits.

to find the number of hits by washington add 18:

+ 18 = 145 + 18 = 163.

Answer: sanchez had 145 hits and washington had 163 hits.

Step-by-step explanation:

Answer:

150 cups, 200 cups, and 50 gallons Step-by-step explanation:

Answer:

Dimensions and angles.

Step-by-step explanation:

A 3d shape has length, width, and height. A 2d regualr shape has equal sides... what makes it irregular is the different angles.

I hope this helps you :)

9514 1404 393

Answer:

  y -1 = 1/2(x +2)

Step-by-step explanation:

The line has a rise of 1 grid unit for each 2 that it goes to the right. Its slope is then m = rise/run = 1/2. The given point appears to be (-2, 1).

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

For the given slope and point, this is ...

  y -1 = 1/2(x +2)

Step-by-step explanation:

the best first step is to I identify (a+b) within the arguement which equal to 75. also, the values of cos or sin of these numbers should be known. in this case the numbers are 30 and 45 as their sum equates to 75.

comment if you need any further guidance.