Which equation models this relationship?

Answer:

tn = 8n -7

Step-by-step explanation:

given : t2=9, t4=25

the formula is:

tn = t1 + (n-1) d

gonna find d first:

d = (25-9) /(4-2) = 16/2 = 8

and find tn1:

t1 = 9-8 = 1

so, tn = 1 + (n-1) (8) = 1 +8n -8

tn = 8n -7

Answer:

Solution given

n th term[tn]=?

1st term =a

difference =d

we have

t2=9

a+(n-1)d=9

a+(2-1)d=9

a+d=9

a=9-d..................[1]

again

t4=25

a+(n-1)d=25

a+(4-1)d=25

now

substituting value of a

9-d+3d=25

2d=25-9

d=16/2

d=8

substituting value of d in equation 1.

,a=9-8

a=1

we have

tn term =a+(n-1)d=1+(n-1)8=1+8n-8=8n-7

n th term =8n-7

(1/2x +3)²

Refer to the above picture for complete calculation...

Answer:

Step-by-step explanation:

1/4 x^2 + 3x + 9

Answer: (1/2x + 3)^2

Now we have to explain it.

If it is going to be a binomial squared then it will be the square root of the first term and the square root of the third term.

[tex](\frac{\sqrt{1} }{\sqrt{4} } + \sqrt{9})^2[/tex]

[tex](\frac{1}{2}+3)^2[/tex]

Answer:

y = 48

Step-by-step explanation:

Start with the given 3y = 150.

Solve this for y by dividing both sides by 3:  y = 50

Then y - 2 = 50 - 2, or

        y    =    48

The value of y-2 is 48,

Two expressions connected by an equal sign makes an equation.

Given is an equation, 3y = 150

Solving for y,

3y = 150

y = 150 / 3

y = 50

therefore, y-2 = 50-2

= 48

Hence, the value of y-2 is 48,

Learn more about equations, click;

https://brainly.com/question/29657983

#SPJ2

Answer:

$24.20

amount invested = $356

Interest = $44

Step-by-step explanation:

Samia receives a total amount of 400$ for 2 years at 6% per year compound interest, give your answer in 2 decimal places

Simples interest = amount invested x time x interest rate

400 x 0.065 x 1 = $24.20

b. interest = amount received - amount invested

Amount invested = amount received / (1 + r)^n

r = interest rate

n = number of years

400 / (1.06)^2 = 356

Interest = 400 - 356 = $44

9514 1404 393

Answer:

Step-by-step explanation:

The angle shown is 75°. It is less than 90°, so is an acute angle. (The diagram is misleading in that respect.)

__

The two marked angles are vertical angles, so have the same measure.

  3x° = 75°

  x = 25 . . . . . . . . divide both sides by 3°

Answer:

a. 5% of the employees will experience lost-time accidents in both years

b. 24% of the employees will suffer at least one lost-time accident over the two-year period

Step-by-step explanation:

a. What percentage of the employees will experience lost-time accidents in both years?

20% last year, of those who suffered last year, 25% during this year. So

[tex]p = 0.2*0.25 = 0.05[/tex]

5% of the employees will experience lost-time accidents in both years.

b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?

5% during the two years.

10% during the current year. 25% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.

So the 10% is composed of 5% during both years(25% of 20%) and 5% of the 80% who did not suffer during the first year.

First year yes, not on the second.

75% of 20%. So, total:

[tex]0.05 + 0.05*0.8 + 0.75*0.2 = 0.24[/tex]

24% of the employees will suffer at least one lost-time accident over the two-year period

Answer:

the correct answer is option D. 7

Answer:

C

Step-by-step explanation:

I've completed the test before. :)

Answer:

35%

Step-by-step explanation:

What was the numerical difference?

88722 - 65720 = 23002

Which number is the denominator for the % increase?

It must be 65720.

23002/ 65720  * 100 = 35%

So if we take 35% of 65720 and add it on  to 65720 what do we get.

35/100 * 65720 + 65720 = 88722 just as we should.

9514 1404 393

Answer:

  (d)  101,376 square inches

Step-by-step explanation:

At $5.50 each, Larry can afford ...

  $485/($5.50/board) ≈ 88.2 boards

Each of the 88 boards is 8 inches wide and 144 inches long, so the total area Larry can afford to cover is ...

  (88)×(8 in)(144 in) = 101,376 in²

Answer:

did, the jackles howled loudly in the forest ?

Answer:

m = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

m = slope

m = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]            

m = [tex]\frac{-2-4}{-5-4}[/tex]

m = [tex]\frac{-6}{-9}[/tex]

m = [tex]\frac{6}{9}[/tex]

m = [tex]\frac{2}{3}[/tex]

Answer:

6 1/2................

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The desired expression can be expanded to the sum of products form ...

  A ∧ ¬(B ∧ C) = (A∧¬B) ∨ (A∧¬C)

It will only be true when A is true and one of B or C is false.

9514 1404 393

Answer:

  A)  3.2

Step-by-step explanation:

In this geometry, all of the right triangles are similar. This means side lengths are proportional:

  short side/hypotenuse = x/8 = 8/20

  x = 8×8/20 = 64/20

  x = 3.2

Answer:

Width = 108 cm

Step-by-step explanation:

Perimeter =  2 x (length + width)

297 = 2 x (length + width)

148.5 = Length + width

Ratio of Length to Width = 3 : 8

Sum of ratio = 11

[tex]Length = \frac{3}{11} \times 148.5 = 40.5 \ cm\\\\Width = \frac{8}{11} \times 148.5 = 108 \ cm[/tex]

Answer:

6 1/4 simplified 25/4 decimal 6.25

Step-by-step explanation:

if the rope is 8 3/4 and you took away a piece that is equal to 2 1/2 which means you subtract them from each other to get your final answer of 6 1/4

Answer:

The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.Step-by-step explanation:

The correlation coefficient of a data set describes how closely related two variables are. Correlation coefficients close to positive 1 show a strong positive correlation, while correlation coefficients close to negative 1 show a strong negative correlation. When a correlation coefficient is close to 0, it shows no correlation between the data.

For the given data set, calculate the correlation coefficient using technology.

This r-value is closer to 0 then it is to -1. Thus, the correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.

Answer:

The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.Step-by-step explanation:

The correlation coefficient of a data set describes how closely related two variables are. Correlation coefficients close to positive 1 show a strong positive correlation, while correlation coefficients close to negative 1 show a strong negative correlation. When a correlation coefficient is close to 0, it shows no correlation between the data.

For the given data set, calculate the correlation coefficient using technology.

This r-value is closer to 0 then it is to -1. Thus, the correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.

Answer:

The answer is 220 cubic inches.

Step-by-step explanation:

To find the volume of the rectangular prism, use the formula for a rectangular prism, which is V= LWH. Next, plug in the information given from the question, and the formula will look like V= (10in) ([tex]5\frac{1}{2}[/tex] in) (4in).

Then, solve the equation for the answer, and the answer for the volume of the rectangular prism is 220 cubic inches.

Answer:

Step-by-step explanation:

The angles opposite each other when two lines cross. They are always equal.

here,vertically opposite angles are

angle RQW and angle TQU

angle RQV ang angle SQU

angle SQR and angle UQV

angle WQV and angle SQT

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Radius of the circle = 4.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The approximate circumference of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:≈\:25.13.}[/tex]

2.) 25.13 ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }[/tex]

[tex] = 2 \times \frac{22}{7} \times 4 \\ \\ = \frac{176}{7} \\ \\ = 25.14[/tex]

Therefore, the circumference of the circle is ≈ 25.13.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

Answer:

The center (-3, 0)

9514 1404 393

Answer:

Step-by-step explanation:

The desired parameters can be found by putting the equation into the standard form for the equation of a circle:

  (x -h)^2 +(y -k)^2 = r^2 . . . . . circle centered at (h, k) with radius r

The values of h and k will be half the coefficients of the linear x- and y-terms, respectively.

  x^2 +6x +9 +y^2 -7 = 9 . . . . . add 9 to complete the square

  (x +3)^2 +y^2 = 16 . . . . . . . . . add 7 to get the desired form

This equation shows us (h, k) = (-3, 0) and r = 4.

The center is (-3, 0), and the radius is 4.

Answer:

250

Step-by-step explanation:

85% · n = 212.5

[convert 85% to .85]

.85n = 212.5

n = 212.5/.85

n = 250

Answer:

s-10

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

0.44117647058824

15/34 as a decimal is 0.44117647058824.

Answer:

0,4411764706

Step-by-step explanation:

15/34=0,4411764706

Answer:

-1  1/4 yards

Step-by-step explanation:

7 carries

-8.75 yards  total yardage

    -.8.75 / 7  =  -1.25 yards average per carry

In mixed number ?    -1  1/4 yards          

Answer:

Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.

Step-by-step explanation:

Given that Mr. Akika has 33 18 cent and 32 cent stamps all told, and the stamps are worth $ 9.02, to determine how many of each kind of stamp does he have the following calculation must be performed:

10 x 0.18 + 23 x 0.32 = 9.16

11 x 0.18 + 22 x 0.32 = 9.02

Therefore, Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.