If the 12th term of the arithmetic sequence is 15 and the 11th term is 10, find the common difference of the sequence.​

Answers

Answer 1

Answer:

12? 10 + d = 15 so d = 5.

Step-by-step explanation:

Answer 2

Answer:

d = 5

Step-by-step explanation:

The common difference d is the difference between consecutive terms, then

d = a₁₂ - a₁₁ = 15 - 10 = 5


Related Questions

Please help I’ll give brainliest

Answers

Answer:

[tex]A=60m^2[/tex]

Step-by-step explanation:

formula for area of a parallelogram is [tex]A=bh[/tex] where [tex]b[/tex] stands for base and [tex]h[/tex] stands for height.

[tex]A=12(5)[/tex]

[tex]A=60[/tex]

An isosceles triangle has an angle that measures 120°. Which other angles could be in that isosceles triangle? Choose all that apply. 75, 50, 30, 25

Answers

Answer:

30.

Step-by-step explanation:

The 120 degree has to be the vertex angle.

The other 2 angles in the triangle will be congruent as the triangle is isosceles.

These 2 are both = (180-120) / 2

= 60/2

= 30 degrees.

If Andrea traveled 300 miles in 5 hours at what rate was she driving?

Answers

Answer:

60

Step-by-step explanation:

[tex]\frac{300}{5}[/tex]

60

Hence, 60 is the answer

Answer:

60 mph

Step-by-step explanation:

For this problem, we are looking at the rate, miles per hour. We know that Andrea traveled 300 miles in 5 hours, but how many miles did she travel in one hour? Let's do the math:

[tex]300[/tex]÷[tex]5=60[/tex] miles.

So, in one hours, Andrea travels 60 miles. We get the rate, 60mph.

Andrea was driving at 60 mph.

I hope this helps! Please let me know if you have any questions :)

WHAT IS FOURTH OFR 17%

Answers

0.0425 is a fourth of 17%

Im not sur eabout this but i think it mean that 17% is like0.98_08

What is the area of this cube 6 4 5

Answers

120

6 times 4 times 5 = 120

Hope this helps

If f (x) = 6x - 6, find f(-1).

Answers

Answer:

Step-by-step explanation:

1

Answer:

-12

Step-by-step explanation:

Hi Alyssa!,

For any x we multiply it by 6 and subtract 6 from it to get the F. The function tells us this. To find f(-1) it bassicly says what's f when x is -1. Well we know that. f is 6(-1)-6 whis is -12.

F is -12

JoeLouis2

If A and B are (-2,-2) and (2,-4). Find the coordinates P such that AP=3/7 AB and P lies on the line segment ab

Answers

Answer:

The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].

Step-by-step explanation:

Point P:

The coordinates of point P are (x,y).

AP=3/7 AB

So

[tex]P - A = \frac{3}{7}(B-A)[/tex]

We apply this both for coordinate x and coordinate y.

Coordinate x:

[tex]x - (-2) = \frac{3}{7}(2 - (-2))[/tex]

[tex]x + 2 = \frac{12}{7}[/tex]

[tex]x = \frac{12}{7} - 2 = \frac{12}{7} - \frac{14}{7} = -\frac{2}{7}[/tex]

Coordinate y:

[tex]y - (-2) = \frac{3}{7}(-4 - (-2))[/tex]

[tex]y + 2 = -\frac{6}{7}[/tex]

[tex]y = -\frac{6}{7} - 2 = -\frac{6}{7} - \frac{14}{7} = -\frac{20}{7}[/tex]

The coordinates of point P are [tex](-\frac{2}{7}, -\frac{20}{7})[/tex].

The tength of a picture frame is 12 cm more than twice the width. If the perimeter is 204cm, find the
dimensions (length and width) of the frame.

Answers

Answer:

30cm x 72 cm

Step-by-step explanation:

The perimeter is the measurements of all sides added together. Let's start by dividing the perimeter by 2, so we have the sum of the length and width. This gives us 102cm. Let's call the width x, and the length y. We know y is x times 2 plus 12. (2x + 12) So, we know [x + y = x + (2x + 12)]. So let's solve.

x + y = x + (2x + 12)

102 = x + (2x + 12)

102 = 3x + 12

102 - 12 = 3x + 12 - 12

90 = 3x

90/3 = 3x/3

30 = x

The width is 30cm.

A researcher wanted to know if there was a difference in fall and spring semester tuition at universities across the U.S. His study took a random sample of 200 universities, had a p-value of 0.013 and found that the tuition had increased by an average of $0.35 between fall and spring semester. What can be said about the results of this study

Answers

Answer:

The given parameters of the study are;

The number of people in the sample, n = 200

The p-value = 0.013

The average increase between fall and spring semester = $0.35

Therefore, we have;

Given that the p-value is less than 0.05, we reject the null hypothesis, and that there is significant statistical evidence to suggest that there is a difference between the fall and spring semester tuition at universities across the U.S.

Step-by-step explanation:

The result of the test hypothesis is incorrect or should be rejected.

What is P-value?

Researchers frequently use P-values to determine if a trend they've seen is statistically significant. The p-value of a statistical test is small enough to reject the null hypothesis of the test, which is referred to as statistical significance.

What is the significance of the P-value?

The likelihood that the null hypothesis is true is P > 0.05. The likelihood that the alternative hypothesis is correct is (1-P) the P-value. The test hypothesis is incorrect or should be rejected if the test result is statistically significant (P≤0.05). There was no effect if the P-value was bigger than 0.05.

We reject the null hypothesis since the p-value is less than 0.05, and there is strong statistical evidence to imply that there is a difference between autumn and spring semester tuition at institutions across the United States.

Hence, the result of the test hypothesis is incorrect or should be rejected.

Learn more about P-Value:

https://brainly.com/question/15407907

Bab needs help please!

Answers

Answer:

282.6 in³

Step-by-step explanation:

Volume = area circle * height

Area circle = πr²

Area circle = 3.14 * 9 = 28.26

28.26 * 10 = 282.6 in³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

282.6 in^3
Step by step explanation:
Because I said so

I need help understanding how to answer this question:
List the sides in order from the smallest to the largest.

Answers

I think the smallest sides correspond to the smallest angle measurement. So the smallest side would be UT and then VT and then UV.

3) The triangles shown are congruent using ASA, but they arb not marked completely. Mark the corresponding parts in this drawing that must be congruent in order to apply the ASA. Then write the congruence statement in the spaces provided. (2 pts) CAB FDE ____=____

Answers

Answer:

angle A = Angle E

ΔCAB ≅ΔFED

Step-by-step explanation:

ASA  means Angle side Angle Where the side is between the two angles

We have an angle C= F  and a side AC = EF

We need angle A = Angle E

ΔCAB ≅ΔFED

lus
A
B
С
D
If AC = 18 and CD = 5, AD = [?]
Enter

Answers

Answer:

hey,

18+5=23

so AD=23

this is the correct answer :)

please mark as brainliest


[tex] {10}^x = 5[/tex]
What is x?
×= 5/log 10 ^10
x= In 5
x=log 10^5
x=1/2

Answers

Answer:

below

Step-by-step explanation:

10ˣ = 5

applying log to both sides

xlog 10 = log5

x = 0•699

6. Using the distributive property, find the following products 1002 x 1518​

Answers

3000 is the answer just look it up

Answer:

The best choice of answer answer is = 1521036

Solve for x. assume that lines which appear tangent are tangent. x=

Answers

Answer:

x = 8

Step-by-step explanation:

The product of the length of the exterior segment of a secant and the length of the secant is equal to the correpsonding operation with the other secant.

9(9 + 11) = 10(10 + x)

180 = 100 + 10x

10x = 80

x = 8

HELPPPPP

a) -3 x 4 - (-9) ÷3


b) 15 - 2(-8 +-7)​

Answers

a) -9
b)45

Hope this helps

Line AB passes through points A (-6,6) and B(12,3). If the equation of the line is written in slope-intercept form, y=mx+b, the. m=-16. What is the value of b?

Answers

Answer:

You wrote the question wrong...

m is not -16 it is -1/6 (that is a big difference)

y=mx+b

y=-1/6x+b

3 = -1/6(12) + b

3 = -2 + b

b=5

Step-by-step explanation:

Which equation represents the general form a circle with a center at (–2, –3) and a diameter of 8 units?

x2 + y2 + 4x + 6y – 51 = 0
x² + y² – 4x – 6y – 51 = 0
x2 + y2 + 4x + 6y – 3 = 0
x2 + y2 – 4x – 6y – 3 = 0

Answers

Option 3 is the correct because you have to solve it all together addition

The equation for the given circle is:

[tex]x^2 + y^2 + 4x + 6y - 3 = 0[/tex]

How to get the equation of the circle?

Remember that for a circle whose center is (a, b) and has a radius r, the equation is:

[tex](x - a)^2 + (y - b)^2 = r^2[/tex]

In this case, the center is (-2, -3) and the diameter is 8 units, so the radius is r = 4.

Then the equation is:

[tex](x + 2)^2 + (y + 3)^2 = 4^2[/tex]

Expanding the squares we get:

[tex](x^2 + 2*2*x + 4) + (y^2 + 2*3*y + 3^2) = 16\\\\x^2 + y^2 + 4x + 6y + 4 + 9 - 16 = 0\\\\x^2 + y^2 + 4x + 6y - 3 = 0[/tex]

So the correct option is the third one.

If you want to learn more about circles:

https://brainly.com/question/1559324

#SPJ2

Help me I don't know any ​

Answers

Answer:

25%

Step-by-step explanation:

(a)

We need to express in percent 8 as a percent of 32.

We have,

Numerator = 8

Denominator = 32

Percent,

[tex]P=\dfrac{8}{32}\times 100\\\\=25\%[/tex]

Hence, the required percentage is 25%.

Question 2
Find the equation of the line parallel to y = x - 2 that passes through the point (-3,2).

Answers

Answer:

The equation of the required line is y = x + 5

Step-by-step explanation:

The equation of the given line is y = x - 2

The required line = A line parallel to the given line

The point through which the required line passes = (-3, 2)

The general form of the equation of a straight line, is y = m·x + c

Where;

m = The slope of the line

By comparison, the slope of the given line, m = 1

When two lines are parallel, their slope are equal

Therefore, the slope of the required line = m = 1

The equation of the required line in point and slope form is therefore;

y - 2 = x - (-3) = x + 3

∴y = x + 3 + 2 = x + 5

The equation of the required line is therefore;

y = x + 5.

a 25% tip was payed on a 30$ meal what is the amount of the tip

Answers

Answer:

$7.50

Step-by-step explanation:

30 x 0.25= 7.50

the tip is 7.50 because 20% of 30 is 7.50

Given the equation 5x + 23 = − 2x − 12, which order of operations completely solves for x?

Answers

Step-by-step explanation:

5x+2x=-12 -23

7x=-35

which will give you 1 over 5writing your answer in a standard form it helps you to get the answer easy and quick

Answer:

-5

Step-by-step explanation:

5x+23=-2x-12

5x-(-2x)+23=-12

5x+2x=-12-23

7x=-35

x=-35/7

x=-5

marcus purchased a sail boat for $56,900. he anticipates each year the boat will decrease in value by 8.1% from the previous year.


enter numbers in the boxes to write an exponential function that models the value in dollars of the boat x years after Marcus's purchase.

Answers

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Purchase price= $56,900

Decrease in value= 8.1% per year from the previous year

To calculate the value of the sailboat after x number of years, we need to use the following formula:

Future value= purchase price / (1 + decrease in value)^x

For 10 years:

FV= 56,900 / (1.081^10)

FV= $26,112.91

the sum of two integers is 310. if one of them is - 52. find the other​

Answers

Answer:

Integer = 362

Step-by-step explanation:

Let the two integers be x and y

Sum of two integers, x + y = 310 ------(1)

Given one of the integer, Let x = -52

Substitute x = -52 in (1) ,

                                      -52 + y = 310

                                              y = 310 + 52

                                              y = 362

How are exponents and roots related? ​

Answers

Step-by-step explanation:

sana po nakatulong sainyo thanks❤

Find the circumference

Answers

Answer:

75.36 mi

Step-by-step explanation:

Given :-

Radius = 12 mi .

We know :-

→ Circumference = 2 π r

→ C = 2 * 3.14 * 12 mi

C = 75.36 mi

Answer:

Step-by-step explanation:

circumference of a circle=2πr

=2*3.14*12

=24*3.14

=75.36 mi

What is the value of f(3) in the function below? f(x) = 1/2 .2^x O A. 4 B. 2 O c. 133 3 2 D. 8​

Answers

Answer:

B

Step-by-step explanation:

To evaluate f(3) substitute x = 3 into f(x) , that is

f(3) = [tex]\frac{1}{4}[/tex] × 2³ = [tex]\frac{1}{4}[/tex] × 8 = 2 → B

Answer:

2

Step-by-step explanation:

f(3)=1/4×2^3

f(3)=1/4×8

f(3)=8/4=2

Set X is made up of the possible ways five students, represented by A, B, C, D, and E, can be formed into groups of three. Set Y is made up of the possible ways five students can be formed into groups of three if student A must be in all possible groups. Which statements about the situation are true? Select three options.

I NEED THIS RIGHT AWAY
Set X has 10 possible groupings.
X Y
Set Y = {ABC, ABD, ABE, ACD, ACE, ADE}
If person E must be in each group, then there can be only one group.
There are three ways to form a group if persons A and C must be in it.

Answers

The answer is

A. Set X has 10 possible groupings.

C. Set Y = {ABC, ABD, ABE, ACD, ACE, ADE}

E. There are three ways to form a group if persons A and C must be in it.

Good luck :)

Answer:

It’s A,C,E

Step-by-step explanation:

i did the quiz friends

ur wlcm :)

hope i helped /made life easier

Andres went out to a restaurant for dinner. His total bill before tax and tip was $27.30. He was charged an additional 9% tax and he also paid a 15% tip on the original bill.

Answers

Answer:

$25.66

Step-by-step explanation:

Given data

Total Bill before tax and tip= $27.30

Tax= 9%

Tip= 15%

Let us find the tax

=9/100*27.30

=0.09*27.30

=$2.457

Let us find the tip

=15/100*27.30

=0.15*27.30

=$4.095

Therefore his bill after tax and tip is

=27.30+2.457-4.095

=$25.66

Other Questions
Dave Bowers collects U.S. gold coins. He has a collection of 49 coins. Some are $10 coins, and the rest are $20 coins. If the face value of the coins is $690, how many of each denomination does he have?How many $10 coins does he have?How many $20 coins does he have? PLEASE HELPPPPPP FINDING CIRCUMFERENCE AND AREA OF A CIRCLE Ex:3 help me pleaseeeeeee U.S.-based Myva Foods Inc. is expanding its business to the Asian market. Which of the following will NOT be effective in the company's efforts to expand to international markets?A) paying close attention to the cultural differences between Myva's home country and the host countries.B) finding new ways to blend the Four Ps of the marketing mix in the new market by making an effort to understand the local culture.C) applying the same marketing mix Myva uses in the U.S.market to the Asian market.D) putting more effort into planning strategies for the international markets,even though it has experienced success in the U.S.market. Galaxy Corp. is considering opening a new division to make iToys that it expects to sell at a price of $15,250 each in the first year of the project. The company expects the cost of producing each iToy to be $6,700 in the first year; however, it expects the selling price and cost per iToy to increase by 3.00% each year.Based on the preceding information and rounding dollar amounts to the nearest whole dollars, the company expects the selling price in the fourth year of the project to be_______ , and it expects the cost per unit in the fourth year of the project to be _______.Which of the following statements about inflations effect on net present value (NPV) is correct?A. When the selling price and cost per unit are expected to increase at the same rate, forgetting to take inflation into account in a capital budgeting analysis will typically cause the estimated NPV to be lower than the true NPV.B. When the selling price and cost per unit are expected to increase at the same rate, you do not need to take inflation into account when performing a capital budgeting analysis. Help ASAP 100 PTS!!!! Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x3 + 1. Include the average rate of change in your answer. Please show all work and explain it thourougly. If X + Y means X is the brother of Y, X - Y means X is the sister of Y, and X * Y means X is the father of Y, then which of the following means that C is the son of M? (1) M-N * C + F (2) F-C + N * M (3) N +M-F * C (4) M * N-C + F (5) M-N+F * C How do engineering and technology impact the natural world and environment Someone help I have been stuck on this for 30 min Someone help me please whats the square root of 9 over 16 Kennedy most likely uses the clause "beachhead of cooperation may push back the jungle of suspicion," to convey the following idea.a.Troops that land on the beach will overcome enemies hiding in the jungle.b.Suspicion is likely to choke the efforts of any cooperation.c.Cooperation is the first step in lessening misunderstanding between adversarial nations.d.Peace will be preserved by pushing back against enemies. i want 2 equivalent fractions for 25/90 and for 106/300 Another Helpful Hint, if you are writing an essay, Brainly is the last place you wanna go. Yes, some students on here have great tips on what you need to write, but if you copy and paste or just change a few words your teachers will find out. They have a system where they run your assignment through a program and that program will search to see if you copied anything! So I suggest rereading the prompt of your assignment and/or asking your teacher for help. Anyways, Here is a free 70 Points to the people who find this first! Which sentence includes an announcement phrase that should be eliminated to make the statement more concise? Assigning lockers to middle school students is an effective way to teach them time management. Lockers should be provided to middle school students so that they can learn time management. Middle school students would learn time management if they were provided lockers. This essay proves that middle school students should have lockers to learn time management. In 2008 the exchange rate between euros and US dollars was 1 euro for $1.55 in 2019 the rate was 1 euro for 1.12 Describe peoples opinions using different verbs. Write at least 5 sentences The Heart of a small mammal is pierced by a spear of a hunter. Suggest ONE way in which this would lead to the death of the animal.Ill give brainly Question ProgressHomework Progress31/ 127 MarksThere are between 24 and 40 students in aclass.The ratio of boys to girls is 4:7How many students are in the class? Which expression represents the algebraic phrase nine times a number plus thirteen?9 minus y + 139 + y minus 139y + 1313y + 9 2. Make tag questions of the following stateme a I am conscious of my health ? b Everyday I walk for an hour, 2 2 c My friend Tina conducts yoga class d I have intended to join her class e Let's lead a healthy life 2 ?