find the common difference of the arithmetic sequence 3, -2, -7

Answers

Answer 1

Answer:

-5

Step-by-step explanation:

To find the common difference, take the second term and subtract the first term

-2 - 3 = -5

Check with the third term and the second term

-7 - (-2) = -7 +2 = -5

The common difference is -5


Related Questions

Parallelogram JKLM shown below is going to be rotated 270° clockwise to create J'K'L'M'. Which rule describes this transformation? K M F. (x, y) = (-y, x)
G. (x, y) = (-x. -Y)
H. (x, y) = (y, -x)
J. (x,y) → (-x, y) c​

Answers

Answer:

F. (x, y) = (-y, x)

Step-by-step explanation:

270º clockwise transformation:

The 270° clockwise transformation of a point (x,y) is:

(x,y) -> (-y,x)

Thus, as we just apply the rule in this conceptual question, the correct answer is given by:

F. (x, y) = (-y, x)

Kim got a "40" in a class and I make a 70 on a test. How much does the grade goes up?

Answers

Answer:

30%

Step-by-step explanation:

Can somebody help me seriously

Answers

Answer: b

Step-by-step explanation:

I don't know but i am right

Can anyone help ?

Kim rolls a dice and flips a coin.
a) Calculate the probability that she
gets a 2 and a head.
b) Work out the probability that she
gets an even number and a tail.
What would b be

Answers

Answer:

a) 1 / 12

b) 1 / 4

Step-by-step explanation:

The events are independent since they do not affect each other. The total probability of two independent events is the product of the probabilities of the two events.

a) When rolling a die, there are 6 outcomes, the numbers 1 - 6. There is only 1 outcome where you can get a 2. Therefore, the probability of rolling a two is 1/6.

When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with heads. The probability of getting head would be 1 / 2.

To find the the total, you multiply the probabilities of the two events: 1 / 6 * 1 / 2 = 1 / 12

b) As stated before, when rolling a die, there are 6 outcomes, the numbers 1 - 6. There are 3 outcomes where she can roll an even number: the numbers 2, 4, or 6. So, the probability of rolling an even number is 3 / 6 or 1 / 2.

When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with tails. The probability of getting tails would be 1 / 2.

Now, you multiply the two probabilities to get the total probability: 1 / 2 * 1 / 2 = 1 / 4

The perimeter of a rectangular field is 332 yards. If the length of the field is 92 yd what is the width?

Answers

Answer:

The width of the rectangular field is equal to 74 yards.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Terms/Coefficients

Geometry

Perimeter Formula [Rectangle]:
[tex]\displaystyle P = 2l + 2w[/tex]

l is lengthw is width

Step-by-step explanation:

Step 1: Define

Identify given variables.

P = 332 yds

l = 92 yds

Step 2: Find Width

[Perimeter Formula - Rectangle] Substitute in variables:
[tex]\displaystyle 332 \ \text{yds} = 2(92 \ \text{yds}) + 2w[/tex]Simplify:
[tex]\displaystyle 2w + 184 \ \text{yds} = 332 \ \text{yds}[/tex][Subtraction Property of Equality] Subtract 184 on both sides:
[tex]\displaystyle 2w = 148 \ \text{yds}[/tex][Division Property of Equality] Divide both sides by 2:
[tex]\displaystyle w = \boxed{ 74 \ \text{yds} }[/tex]

∴ the width of the field is equal to 74 yards.

___

Learn more about Geometry: https://brainly.com/question/27795993

___

Topic: Geometry

6 cm = ______ mm *
50 mm = ______ cm
100 mm=_______cm
20 mm = ______ cm
5kg = ______ g *
800g = _____kg *
6000mg = ______kg *
2lit = _____ml *
75ml = ____lit *
82km = ____m ​

Answers

6 cm =60mm
50 mm =5cm
100mm =10 cm
20mm = 2cm
5kg=5000g
800g= 0.8 kg
6000mg =0.006 kg
2 lit = 2000ml
75 ml =0.075 lit
82km =82,000 m

Answer:

6 cm = __6*10=60____ mm *

50 mm = _[tex] \frac{50}{10} [/tex]__=5___ cm

100 mm=__[tex] \frac{100}{10} [/tex]=10____cm

20 mm = __[tex] \frac{20}{10} [/tex]_=2_____ cm

5kg = _5*1000=5000_____ g *

800g = ____[tex] \frac{800}{1000} [/tex]=0.8___kg

6000mg = ___[tex] \frac{6000}{1000000} [/tex]=0.006___kg *

2lit = _2*1000=2000_ml *

75ml = __[tex] \frac{75}{1000} [/tex]=0.075_lit *

82km = 82*1000=82000__m

According to the National Association of Colleges and Employers, the mean salary for a new college graduate is $45,327. A small college wants to know if the mean salary of their most recent graduates is greater than $45,327. A random sample of 10 recent graduates from the small college was selected and the mean and standard deviation of the salary for those graduates was found. With all conditions for inference met, a significance test was conducted and a p-value of 0.045 was obtained. Which of the following statements is the most appropriate conclusion using a significance level of a = 0.05?
(A) There is convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327.
(B) There is convincing statistical evidence that the mean salary for the sample of 10 college graduates from the small college is greater than $45,327.
(C) There is not convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327
(D) There is not convincing statistical evidence that the mean salary for the sample of 10 college graduates from the small college is greater than $45,327.
(E) There is not convincing statistical evidence that the graduates from this college will always eam more than $45,327.

Answers

Answer:

(A) There is convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327.

Step-by-step explanation:

According to the National Association of Colleges and Employers, the mean salary for a new college graduate is $45,327. A small college wants to know if the mean salary of their most recent graduates is greater than $45,327.

At the null hypothesis, we test if the mean salary is the expected salary of $45,327, that is:

[tex]H_0: \mu = 45327[/tex]

At the alternate hypothesis, we test if the salary is greater than the expected salary of $45,327, that is:

[tex]H_1: \mu > 45327[/tex]

With all conditions for inference met, a significance test was conducted and a p-value of 0.045 was obtained. Which of the following statements is the most appropriate conclusion using a significance level of a = 0.05?

The p-value of the test if 0.045 < 0.05, which means that there is sufficient evidence to accept the alternate hypothesis, that is, to conclude that the mean salary for all recent college graduates from the small college is greater than $45,327.

This means that the correct answer is given by option A.

Subtract 8−2x from 3−6x .

Answer in this format:

Answers

Answer:

[tex]4x + 5[/tex]

Step-by-step explanation:

[tex](8 - 2x) - (3 - 6x)[/tex]

[tex]8 - 2x - 1 \times 3 - (6x)[/tex]

[tex]8 - 2x - 3 + 6x[/tex]

[tex] - 2x + 5 + 6x[/tex]

[tex]4x + 5[/tex]

Hope it is helpful....

The angle of elevation to the top of the Empire State Building in New York is found to be 11° from the ground at a distance of 5281 feet from the base of the building. Using this information, find the height of the Empire State Building in feet. Use the dimensions given in the diagram to give an equation and solve. Round two decimal places.

Answers

Answer:

The height of the building is of 1026.52 feet.

Step-by-step explanation:

This situation is modeled by a right triangle, in which the length of the opposite side to the angle of 11º is the height of the building, while the length of the adjacent side is of 5281 feet.

Tangent:

In a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side.

In this question:

[tex]\tan{(11)} = \frac{x}{5281}[/tex]

[tex]x = 5281*\tan{(11)}[/tex]

Using a calculator, we have that the tangent of 11 degrees is: 0.1944. Thus:

[tex]x = 5281*\tan{(11)} = 5281*0.1944 = 1026.52[/tex]

The height of the building is of 1026.52 feet.

what is the value of x ?

Answers

Answer:

x = 19

Step-by-step explanation:

The two angles form a right angle

A right angle has a measure of 90 degrees

Thus, x + 14 + 3x = 90

               ^This is the equation we will use to solve for x

x + 14 + 3x = 90

step 1 combine like terms

x + 3x = 4x

we now have 4x + 14 = 90

step 2 subtract 14 from each side

90 - 14 = 76

14 - 14 cancels out

we now have 76 = 4x

step 3 divide each side by 4

4x / 4 = x

76 / 4 = 19

we're left with x = 19

A student measures the air pressure inside her bicycle tires before and after she goes on a long bicycle ride. What will she most likely observe?

Answers

Answer:

She will see that the pressure went up, not down!

Step-by-step explanation:

1. In a closed system, The volume inside the tire shouldn't change much (the losses will be small)

2. For a closed system, the Pressure inside a bicycle tire will increase with the increase of its Temperature

3. In a long bicycle ride, the constant friction of the tire to the ground will heat up the air inside the tire, thus increasing the pressure inside the tire

How are these triangles congruent ?
- HL
- AAA
- ASA

Answers

ASA..........................

PLEASE HELP ALL LINKS GIVEN WILL BE REPORTED

Answers

Answer:

- 13

Step-by-step explanation:

[tex]log \frac{ {a}^{6} {b}^{6} }{ {c}^{7} } \\ \\ = log( {a}^{6} {b}^{6} ) - log {c}^{7} \\ \\ = 6log \: a + 6log \: b - 7log \: c \\ \\ = 6(2) + 6( - 3) - 7(1) \\ \\ = 12 - 18 - 7 \\ \\ \therefore \: log \frac{ {a}^{6} {b}^{6} }{ {c}^{7} } = - 13[/tex]

Yea the answer is -13 I just took the test

Amanda is 10 years old. She wants to
start saving for college. She saves $450
this year and wants to double her money every year after. Write an equation to model this situation. How much money will she have when she is 18 years old?

Answers

Answer:

7200

Step-by-step explanation:

450 x 2 = 900

900 x 8 =7200

HELP PLZZ TIMED TEST 5 MIN LEFT!

Answers

Step-by-step explanation:

answer: 135 degrees for the missing side

The fourth one is the answer

PLZZZ HELP!!! Brainliest to whoever can help!!! T^T

Answers

Answer:

I think it B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

h=2x^2

b=5x^2+4x

we know that

area of triangle (A)=1/2×b×h

=1/2×2x^2×(5x^2+4x)

=x^2(5x^2+4x)

=5x^4+4x^3 square units

Me puedes ayudar es para hoy porfavor ​

Answers

Answer:

mira a las base de las figuras y busca cual base matchs con la figuras de la figura prinsipal

Step-by-step explanation:

como el cono va con la del toda la izquierda de la de la mitad

Marie grew 10 plants with 2 seed packets. How many seed packets does Marie need to have a total of 15 plants in her backyard? Solve using unit rates

Answers

Answer:

he need 3 seeds to plant a 15 plant

The diameter of a pipe is 6 cm. If the pipe is 26 cm long, what is its volume?
Use the value 3.14 for π , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answers

i think this question answer is 734.76cm^3

Find the equation that has a slope of -1/8 and passes through the point (0,-4)
A. Y= 1/8x
B. Y=1/4x-4
C. Y=-1/8x-4

Answers

Answer:

Option C

Step-by-step explanation:

Given :-

The slope of the line is -1/8The line passes through (0,-4) .

And we need to find out the equation of the line .We are here given slope and a point . So we can use the slope point form of the line. As ,

[tex]:\sf\implies m ( x - x_1)= y - y_1 \\\\\sf:\implies \dfrac{-1}{8}(x -0)= y - (-4) \\\\\sf:\implies \dfrac{-x}{8}= y +4 \\\\\sf:\implies \boxed{ \sf\red{y = \dfrac{-x}{8}-4}}[/tex]

Hence the option C is correct.

The problem solving is on the image, 6th grade

Answers

So when you are using ratios you can simplify them, just like fractions. So when you simplify 15:330 you can divide both numbers by 15 and get 1:22. So this means for every teacher there are 22 students. So you should multiply 23 by 22 to get answer B, you need to divide 550 by 22 to get answer c, and you need to multiply 36 by 22 to get answer D. Could you mark branliest? Let me know if I helped!

x = 15, x = 5; (0.75)

Answers

Answer:

12

Step-by-step explanation:

12 is 75 of 15 %^%^%^%^^^___<<<7<

Have a nice day ..........

If a fair coin is tossed 4 times, what is the probability, to the nearest thousandth, of getting exactly 3 tails?

Answers

Answer:

000.3

Step-by-step explanation:

The probability of getting exactly 3 tails is 0.25 If a fair coin is tossed 4 times, what is the probability.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

We have a coin if it is tossed 4 times.

Then the probability of getting exactly 3 tails is:

[tex]=\rm 4 C_3(\frac{1}{2} )^3\times (1-\frac{1}{2} )^1[/tex]

[tex]=\rm 4\times \frac{1}{16}[/tex]

= 1/4

= 0.25

Thus, the probability of getting exactly 3 tails is 0.25 If a fair coin is tossed 4 times, what is the probability.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

Question 17 (1 point)
Bicycle, a company that makes dice, is looking to change the size of the dice they produce. The current dice have edge lengths of 5mm, and the company wants to increase them to 15mm. How will the volume of the dice be effected if this change is made?

Question 17 options:

30x larger


3x larger


10x larger


27x larger

Answers

Answer:

3x

Step-by-step explanation:

I own 1 mini fish and 2 giant fish each giantfish weighs 3 times as much as minfish. If my mini fish eats my two giantfish, then how many times more weight will my mini fish have now than before

Answers

Answer: 6 pounds

Step-by-step explanation:

Answer:

The mini fish would weigh 6 times its original amount hypothetically but if we were talking realistically then you would need more information to figure that out. But even then there's no way of determining the specific weight.

Step-by-step explanation:

Pls help I’ll brainlest

Answers

Law of Exponents

→ aᵐ × aⁿ = aᵐ+ⁿ

→ aᵐ ÷ aⁿ = aᵐ-ⁿ

→ (aᵐ)ⁿ = aᵐⁿ

→ aᵐ × bᵐ = (ab)ᵐ

→ a⁰= a¹

→ aᵐ/bᵐ = (a/b)ᵐ

Question's solution

→ 5⁰

→ 1 [a⁰ = 1]

A coffee cup keeps coffee at 175 degrees for 2 hours each quarter hour after that the coffee loses 15 degrees of warmth what will the temperature of the coffee be after 4 hours who ever actually helps get brainliest and random answers will be reported.​

Answers

Answer:

I believe the answer is 55 degrees.

Plz don't report me if i'm wrong.

Step-by-step explanation:

If a circle has an area of 144 sq. cm, what will be its area if the radius is reduced to one third?

Answers

Answer:

Step-by-step explanation:

1/3; 33.33 or 0.33

find the area of this figure

Answers

Answer:

164

Step-by-step explanation:

5×8×2=80

7×12=84

84+80=164

There are 4 consecutive integers that sum to 394. What is the least of these integers?​

Answers

Answer: 97

Step-by-step explanation:

394 / 4 = 98.5, so the 4 numbers must be around 98.5.

97 + 98 + 99 + 100 = 394

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