Find the 22nd term of the arithmetic sequence whose common difference is d=2 and first term is a1 = -25

Answers

Answer 1

Answer:

17

Step-by-step explanation:

an=a1+(n-1)d

a22=-25+21(2)

a22=17

Answer 2

Answer:

Hello

a=-25

d=2

a22=a+(n-1)d

     =-25+(22-1)2

     =-25+(21)2

     =-25+42

     =17

Step-by-step explanation:


Related Questions

An expert diver is looking for a particular species of fish along the coast line. He dives 25 feet below the surface of the ocean. Then he dives down 10 more feet. He swims back up 7 feet and down another 3 feet before he finds the species of fish he is looking for. What was the depth at which the diver finds the fish?

Answers

Answer:

31

Step-by-step explanation:

Depth Changes:

1. down 25 feet

2. down 10 feet

3. up 7 feet

4. down 3 feet

If we form this into an equation, we get:

25+10-7+3 = 31

Use the distributive property to remove the parentheses -8(3v-w-4)

Answers

The answer is:

-24v+8w+4
It should be -24v+8w+32. Remember to distribute the -8 to all terms inside the parentheses!

The sum of two numbers is 14 and their product is 45. Represent an equation that could find the two numbers​

Answers

5 x 9 = 45

5 + 9 = 14

HELP PLSSS 15 points
Big Mitch held 500 pounds in a weightlifting competition. To win the
competition, Big Mitch must add 50 pounds to his best lift. If the variable w
stands for the amount of additional weight Mitch can hold, which of the
following units could apply to that variable?
A. meters
B. gallons
C. pounds
D. inches

Answers

It is C pounds :))))))

How do I slove this eqaution, and whats the answer?
-3(n+6)+10=-9

Answers

Answer:

[tex]n = \frac{1}{3}[/tex]

Step-by-step explanation:

Apply the distributed property, so it now looks like this: -3n + -18 + 10 = -9Combine like terms: -3n + -8 = -9Simplify: -3n - 8 = -9Add 8 to each side, so it now looks like this: -3n = -1Divide each side by -3 to cancel out the -3 next to n. It should now look like this: n = 1/3

I hope this helps!

Put in order from least to greatest {-6, 8, 10, 15}

Answers

Answer:

-6 , 8 , 10 , 15

Negatives are less than positives so they're first

Please help!

Four more than twice a number is –10.

(I have 15 mins!)

Answers

Answer: -7

Step-by-step explanation:

2X + 4= -10

2X= -10 -4

2X= -14

X= -7

the answer is -16 i believe. if you multiply -10 and two you get -20 and -20 plus 4 is -16

write the decimal expansion of 16 by 3125​

Answers

Answer:

That will be 0.00512

The answer is 0.00513 i mean two

Please evaluate the given equation, and then see how many solutions the equation has. No. 1

Answers

here I am! dunno if this is the question you meant but you haven't gotten an answer here yet.

Answer:

B) Exactly one solution. (-3.5)

Step-by-step explanation:

5x + 8 - 7x = -4x + 1

combine like terms

5x - 7x + 8 = -4x + 1

-2x + 8 = -4x + 1

add 4x to both sides

-2x + 4x + 8 = -4x + 1 + 4x

2x + 8 = 1

subtract 8 from both sides

2x + 8 - 8 = 1 - 8

2x = -7

divide both sides by 2.

x = -3.5

3.5, clearly, is only one number.

3sinA=4cosA so find tansquareA_sinsquareA​

Answers

Step-by-step explanation:

Do you mean?

[tex] \frac{ { \tan(x) }^{2} }{ \ { \sin(x) }^{2} } [/tex]

If so:

[tex]3 \sin(x) = 4 \cos(x) \\ \frac{3 \sin(x) }{ \cos(x) } = 4 \\ \frac{ \sin(x) }{ \cos(x) } = \frac{4}{3} \\ \tan(x) = \frac{4}{3} [/tex]

Did the question specify which quadrant? I'm just going to assume that it's the first

(as tangent = opp/adj)

hence

Hypotenuse:

[tex] \sqrt{{3}^{2} + {4}^{2} } = 5[/tex]

[tex] \sin(x) = \frac{4}{5} [/tex]

Finally,

[tex] \frac{ { \tan(x) }^{2} }{ { \sin(x) }^{2} } = \frac{ { \frac{4}{3} }^{2} }{ { \frac{4}{5} }^{2} } \\ = 2 \frac{7}{9} [/tex]

2. JI. has coordinates J(-6, 1) and Z(-4, 3). Find the coordinates of the midpoint.​

Answers

Answer:

(- 5, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (- 4, 3) thus

midpoint = [tex]\frac{-6-4}{2}[/tex], [tex]\frac{1+3}{2}[/tex] ) = ( [tex]\frac{-10}{2}[/tex], [tex]\frac{4}{2}[/tex] ) = (- 5, 2 )

What is the value of the expression x2+(2+x5) when x=15.

Answers

Answer:

759,602

Step-by-step explanation:

Evaluate (x^5 + 2) + x^2 where x = 15:

(x^5 + 2) + x^2 = 15^2 + (15^5 + 2)

| 1 | 5

× | 1 | 5

| 7 | 5

1 | 5 | 0

2 | 2 | 5:

225 + 2 + 15^5

15^5 = 15×15^4 = 15 (15^2)^2:

225 + 2 + 15 (15^2)^2

| 1 | 5

× | 1 | 5

| 7 | 5

1 | 5 | 0

2 | 2 | 5:

225 + 2 + 15×225^2

| | 2 | 2 | 5

× | | 2 | 2 | 5

| 1 | 1 | 2 | 5

| 4 | 5 | 0 | 0

4 | 5 | 0 | 0 | 0

5 | 0 | 6 | 2 | 5:

225 + 2 + 15×50625

| 5 | 0 | 6 | 2 | 5

× | | | | 1 | 5

2 | 5 | 3 | 1 | 2 | 5

5 | 0 | 6 | 2 | 5 | 0

7 | 5 | 9 | 3 | 7 | 5:

225 + 2 + 759375

| | | | 1 | 1 |  

| 7 | 5 | 9 | 3 | 7 | 5

| | | | 2 | 2 | 5

+ | | | | | | 2

| 7 | 5 | 9 | 6 | 0 | 2:

Answer: 759602

Answer:

759,602

Step-by-step explanation:

In this problem you would replace the x with 15 and break down the answer.

[tex]x^{2} +(2 + x^{5} )[/tex]  = [tex]15^{2} + (2 + 15^{5} )[/tex]

Now that you know the equation, break it down.

15² = 225

225 + (2 + [tex]15^{5}[/tex])

After rewriting the equation, do the work inside the parenthesis.

(2 + [tex]15^{5}[/tex]) = (2 + 759,375) = 759,377

The equation will now look like this.

225 + (759,377)

Solve!

759, 602

how would you substitute this equation?​

Answers

If y = x and y = z, then by substitution we can say x = z.

In this case, substitution gives us

-1/2 x - 2 = -3/2 x + 2

and we can solve for x :

3/2 x - 1/2 x = 2 + 2

x = 4

then solve for y :

y = -1/2 x - 2

y = -1/2 * 4 - 2

y = -2 - 2

y = -4

Arbara signed up for dance lessons at Dance Unlimited. She was charged $55 per month for lessons and a one-time recital fee of $165. The equation represents the $495 total cost that Barbara paid to Dance Unlimited. 495 = 165 + 55m How many months, m, did Barbara receive dance lessons from Dance Unlimited?

Answers

Given:

Per month fee = $55

One-time recital fee = $165

The equation represents the $495 total cost that Barbara paid to Dance Unlimited.

[tex]495=165+55m[/tex]

To find:

We need to find the number of month Barbara receive dance lessons from Dance Unlimited.

Solution:

We have,

[tex]495=165+55m[/tex]

Here, m is number of months. We need to isolate m.

Subtract 165 from both sides.

[tex]495-165=55m[/tex]

[tex]330=55m[/tex]

Divide both sides by 55.

[tex]\dfrac{330}{55}=m[/tex]

[tex]6=m[/tex]

The value of m is 6. So, the required number of month Barbara receive dance lessons from Dance Unlimited is 6.

PLS HELPPP

Are the triangles similar? If they are, identify the similarity ratio.

Answers

Divide the corresponding sides

3/6 = 0.5

5/4 = 1.25

6/8 = 0.75

We get different results, so the sides are not in the same ratio or proportion.

The triangles are not similar.

Susan received $27 for 6 hours of work. Ricky received $14.25 for 3 hours of work. Which statement is true about there hourly rate? Answer choices: A:Susan's rate was closer to $5.00 B:Susan's rate was $0.70 more per hour C: Rickys rate was 0.25 more per hour D:Ricky was paid at half Susan's rate

Answers

Answer: C. Rickys rate was 0.25 more per hour" .

Step-by-step explanation:

Susan received $27 for 6 hours of work. Susan's rate we hour will be:

= $27/6

= $4.5

Ricky received $14.25 for 3 hours of work. Ricky's rate will be:

= $14.25/3

= $4.75

From the option given, the correct option is C "Rickys rate was 0.25 more per hour" .

This is because $4.75 - $4.5 = $0.25

Joseph is shopping for school supplies. He can buy a box of 24 pens for $4.32 or a box of 36 pens for $5.76. Which is a better buy? Explain your reasoning.

Answers

Answer:

the better one to buy is a box of 36 pens for $5.76. because it is cheaper per pen.

Step-by-step explanation:

4.32 / 24 = 0.18 cents a pen

5.76 / 36 = 0.16 cents a pen

which word most closely means: how many parts are out of the whole *

Answers

A fraction, not really sure but it should be the answer.

Are BD and CE congruent? Explain.

Answers

Answer:

The answer is D: Yes, BD = 7 and CE = 7

Step-by-step explanation:

B--> -5

D --> 2

-5 + BD = 2

BD = 7

C--> 0

E --> 7

0+CE=7

CE = 7

The answer is D

80+1246√16
What is the answer please I only have 10 minutes left

Answers

Answer:

7556

Step-by-step explanation:

Can You Please give me a Brainlies or how ever you spell it

Answer:

5304

Step-by-step explanation:

80+1246√16

= 1326√16

= 5304.

Solve for the indicated variable.
L = M - N for N

Answers

to solve for N you’ll need to isolate that variable. to do that, I would subtract both sides by M, which gives you L - M = -N. then I would multiply both sides by -1 to make N positive. This gives me N = M - L. hope this helps!!

On a snowy day, only 7/12 of the students attended Calvin Middle School. Among the students that missed school, about 4/5 students call the school to inform the school office. What was the fraction of all students that called in to inform the school about missing school this day?

Answers

Answer:

1/3  of all the students called in to inform the school about missing school this day

Step-by-step explanation:

4/5 = students that call the school to inform the school office

only 7/12 attended Calvin Middle School

To get the number of students that missed Calvin Middle School = 1 -  number of students that attended Calvin Middle School

= 1 - 7/12 = (12-7) / 12

= 5 /12

The fraction of all students that called in to inform the school about missing school this day is:

5/12 x 4/5 = 1/3

I have to finish this by midnight and I forgot how to do this

Answers

it’s option c (0,4) and (3.-2) u can figure this out by just plugging in both points into the equation and if both points are true then that’s the answer

if a and b are integers,what conditions would make a×b > 0?​

Answers

Answer:

a and b must be positive integers

Step-by-step explanation:

for example- a= (+1)x(+2)

                       = (+2)

                       = (+2)>0

                       = axb>0

Thank U

2x + y = 7
this is my first day in algebra and i have no clue how to solve a literal equation

Answers

Answer:

y = 7 - 2x

Step-by-step explanation:

Step 1:

2x + y = 7               Equation

Step 2:

y = 7 - 2x          Subtract 2x on both sides

Answer:

y = 7 - 2x

Hope This Helps :)

1. The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75 at the fair. Jermaine spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets

Answers

Answer:

Y= 12.5+X

Step-by-step explanation:

Y=43.75

X=1.25x25=31.25

so 43.75 minus 31.25= 12.5

he spent 12.5 on fair addmition

SHOW WORK AND I WILL GIVE BRAINIEST!!! Lisa is making some spiced tea for her mom. The recipe calls for 2.5 cups of sugar for each cup of tea. If she only uses 3/4 cups of tea, how much sugar should she use?​

Answers

Answer:

She should use 1.875 cups of sugar

Step-by-step explanation:

Find the ratio by cross multiplying

Answer:

I think it is 0.3

Step-by-step explanation:

Because, 3/4 divided by 2.5= 0.3

At the Sunshine Bakery, 351 loaves of seven-grain bread were baked in six hours and 15 minutes. Estimate how many loaves were baked in one hour.

60
55
65
70

Answers

Answer:

B

Step-by-step explanation:

We know that 351 loaves were baked in six hours and 15 minutes.

First, let's convert the time to minutes. 6 hours is 360 minutes, so 6 hours and 15 minutes is 360 + 15 = 375 minutes.

Therefore, we can write the following ratio:

[tex]\frac{351\text{ loaves}}{375\text{ minutes}}[/tex]

We want to estimate how many loaves were baked in one hour or 60 minutes. So, we can write the following proportion:

[tex]\frac{351\text{ loaves}}{375\text{ minutes}}=\frac{x\text{ loaves}}{60\text{ minutes}}[/tex]

Note that the loaves and time align horizontally, while the rates align vertically.

Since we're estimating, let's change 351 to 350 (I'm also going to remove the words, since they're not necessary). So:

[tex]\frac{350}{375}=\frac{x}{60}[/tex]

We can reduce the left by dividing by 25. This yields:

[tex]\frac{14}{15}=\frac{x}{60}[/tex]

Cross multiply:

[tex]15x=60(14)[/tex]

Multiply and solve for x. So:

[tex]15x=840\\\Rightarrow x=56\approx55\text{ loaves}[/tex]

Therefore, approximately 55 loaves were baked in one hour.

So, our answer is B.

And we're done!

Answer:

B)  55

Step-by-step explanation:

given

351 loaves baked in 6 hrs and 15 min.

15 min x (1 hr / 60 min) = 0.25 hr

find:

Estimate how many loaves were baked in one hour.

its a ratio and proportion:

351 loaves  =    x loaves       ( just cross multiply)

 6.25 hr               1 hr.

x loaves = 351 loaves ( 1 hr.)  

                        6.25 hr.

               = 56 ------->>> say 55

Choose all the number sentences that have a difference less than 7,650?
A) 12,355 – 4,575
B) 19,345 – 12,000
C) 21,675 – 13,055
D) 24,356 – 18,560
E) 10,500 – 3,560

Answers

B D E I just did them on a calculator haha

An object is thrown off a 256-foot-tall building, and the distance of the object from the ground is measured every second. The function that models the height, h, of the object after t seconds is h(t) = –16t2 + 96t + 256. Determine the time when the object hits the ground

Answers

Answer:

The object hits the ground 8 seconds after launch.

Step-by-step explanation:

Let [tex]h(t) =-16\cdot t^{2}+96\cdot t + 256[/tex], where [tex]h[/tex] is the height of the object above the ground, measured in feet, and [tex]t[/tex] is time, measured in seconds. We notice that given expression is a second-order polynomial and hence, there are two roots, one of them corresponding to the instant when the object hits the ground. If [tex]h(t) = 0[/tex], we get the following expression:

[tex]-16\cdot t^{2}+96\cdot t +256 = 0[/tex] (Eq. 1)

Roots are found by applying the Quadratic Formula:

[tex]t_{1,2} = \frac{-96\pm\sqrt{96^{2}-4\cdot (-16)\cdot (256)}}{2\cdot (-16)}[/tex]

[tex]t_1 = 8\,s[/tex] or [tex]t_{2} = -2[/tex]

Only the first root offer a solution that is physically reasonable. Thus, the object hits the ground 8 seconds after launch.

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