4th term of an arithmetic sequence is 23 and its 11th term is 65, what is its common difference​

Answers

Answer 1

Answer:

d = 6

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₄ = 23 and a₁₁ = 65 , then

a₁ + 3d = 23 → (1)

a₁ + 10d = 65 → (2)

Subtract (1) from (2) term by term to eliminate a₁

10d - 3d = 65 - 23

7d = 42 ( divide both sides by 7 )

d = 6


Related Questions

you serve bratwurst and hamburgers at your annual picnic you want at least three bratwutsts or hamburgers for each of your 40 guest bratwurst cost 1.35 each and hamburgers 1.2 each your budget is 175

Answers

The answer is x+y>=120 1.35x+1.2y<=175

4+x*100%-41-y/14*9(23/78)*6289-2.987075347=

Answers

Answer:

wenus.

Step-by-step explanation:

4 inches. hduruuruthtututuu4u4

3
What is
4
of 100 km?
0,75-100

Answers

Answer:

75 km.

Step-by-step explanation:

Fractions of a number

To get the fraction of a number, we multiply that number by the given fraction.

For example two-thirds of 60 is 2/3 × 60 = 2 × 20 = 40 and one-fifth of 100 is 1/5 × 100 = 100/5 = 20

Now, we are supposed to find a fraction of 100 km. Assume its three-quarters.

So, three-quarters of 100 km is 3/4 × 100 km = 3 × 100 km/4 = 3 × 25 km = 75 km

So, three-quarters of 100 km is 75 km.

IF YOU REALLY KNOW ABOUT THIS PLEASE HELP IT’S MY FINAL EXAM, leave it if you don’t..... The two triangles illustrated below are similar. What are the values of x and y?

Answer from A to D

Answers

Answer:

B

Step-by-step explanation:

the larger triangle is 4 times bigger.....so the measurements for the sides are multiplied by 4.

the shape however is the same ....so the internal angle will still be 83 degrees

The correct answer is “A”

what's the value of 2
[tex]2\pi[/tex]

Answers

The answer is 6.28318530718.

2 x pi (3.14159 etc.,) equals 6.28318530718...

You work for a lender that requires a 20% down payment and uses the standard debt-to-income ratio to determine a person's eligibility for a home loan. Of the following, choose the person that you would rate the highest on their eligibility for a home loan?
person A person B person C person D
home value $175,000 $200,000 $220,000 $250,000
income $51,000. $58,000. $63,000. $67,000
savings. $35,000. $40,000. $42,000. $50,000
recurring debt. $350. $250. $200. $450

a.Person A
b. Person B
c.Person C
d. Person D​

Answers

The person C that you would rate the highest on their eligibility for a home loan.

Given that,

You work for a lender that requires a 20% down payment and uses the standard debt-to-income ratio to determine a person's eligibility for a home loan.

We have to determine,

The person that you would rate the highest on their eligibility for a home loan?

According to the question,

Person A Person B Person C Person D

Home value; $175,000 $200,000 $220,000 $250,000

Income; $51,000  $58,000 $63,000 $67,000

Savings; $35,000 $40,000 $42,000 $50,000

Recurring debt; $350 $250 $200 $450

Person A has eligibility for a home loan is,

Home price $175,000 on 20% down payment,

[tex]= \dfrac{175000 \times 20}{100}\\\\= 175000 \times 0.20 \\\\= 35,000[/tex]

Person A's income is $51,000 and his saving amount is $35,000.

Person A has the highest eligible for recurring debt.

Therefore, Person A is not eligible for a home loan.

Person B has eligibility for a home loan is,

Home price $200,000 on 20% down payment,

[tex]= \dfrac{200000 \times 20}{100}\\\\= 200000 \times 0.20 \\\\= $40,000[/tex]

Person B's income is $58,000 and his saving amount is $40,000.

Person B is the highest recurring debt.

Therefore, Person B is not eligible for a home loan.

Person C has eligibility for a home loan is,

Home price $220,000 on 20% down payment,

[tex]= \dfrac{220000 \times 20}{100}\\\\= 220000 \times 0.20 \\\\= $44,000[/tex]

Person C's income is $63,000 and his saving amount is $42,000.

Person C has the lowest recurring debt.

Therefore, Person C is eligible for a home loan.

Person D has eligibility for a home loan is,

Home price $250,000 on 20% down payment,

[tex]= \dfrac{250000 \times 20}{100}\\\\= 200000 \times 0.20 \\\\= $50,000[/tex]

Person D's income is $67,000 and his saving amount is $50,000.

Person D has the highest recurring debt.

Therefore, Person D is not eligible for a home loan.

Hence, The person C that you would rate the highest on their eligibility for a home loan.

For more details refer to the link given below.

https://brainly.com/question/9911386

Answer: B

Step-by-step explanation:

Just took the test on edge and got it right

3. Two dice are rolled. What’s the conditional probability that both dice are 5’s if it’s known that the sum of points is divisible by 5?

Answers

Answer:

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

Step-by-step explanation:

Given

[tex]S = \{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)[/tex]

[tex](3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)[/tex]

[tex](5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)\}[/tex] --- sample space

First, list out all outcomes whose sum is divisible by 5

[tex]A = \{(4,6), (5,5),(6,4)\}[/tex]

So, we have:

[tex]n(A) = 3[/tex]

Next, list out all outcomes that has an outcome of 5 in both rolls

[tex]B = \{(5,5)\}[/tex]

[tex]n(B) =1[/tex]

The required conditional probability is:

[tex]Pr =\frac{n(B)}{n(A)}[/tex]

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

Suppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition; and each geon can come in 5 classifiable qualitative sizes (tiny, small, moderate, large, huge); and a pair of geons can be placed in 10 distinct qualitative relations (geon A on top of geon B; geon A to upper left of geon B; geon A to the left of geon B; and so forth).How many distinct two-geon objects do we have in the space described above?

Answers

Answer:

49500

Step-by-step explanation:

According to the Question,

Given That, Suppose, as a rough estimate, we say that there are 20 distinct geons used for object recognition, and each geon can come in 5 classifiable qualitative sizes (tiny, small, moderate, large, huge). and a pair of geons can be placed in 10 distinct qualitative relations.

We have, District geons = 20 , District Size = 5

So, The Number Of Ways A geon can be selected 20 x 5 = 100

Now, We choose 2 geons From 100 Geons and arrange them in 10 district relations.

So, The number of district two-geon object

= [tex]\left[\begin{array}{ccc}100\\2\end{array}\right] * 10[/tex]

= (100 × 99)/2 × 10

= 49.5×100×10   ⇒ 49500

The distance to the grocery store is
13.456 miles. Round this distance to
the nearest whole number,

Answers

Answer: 13 miles

Step-by-step explanation: If you're rounding to the nearest whole number your answer should not consist of a decimal. You are rounding based on your tens place because you're trying to find the nearest whole number. Your tenths place value is 0.4. In order to know if you're rounding up or down you have to rememeber anything between 0-4 you round down (keep the number the same). Anything 5-9 you're rounding up the next number.

Plz help me solve this algebra

Answers

Answer:

[tex]x=5, \\x=-1[/tex]

Step-by-step explanation:

Given [tex](x-2)^2=9[/tex], to solve for [tex]x[/tex], our goal is to isolate [tex]x[/tex].

Take the square root of both sides:

[tex]x-2=\pm\sqrt{9},\\x-2=\pm 3[/tex](recall that [tex]3^2=(-3)^2=9[/tex]).

Therefore, we have two cases:

[tex]\begin{cases}x-2=3,x=\boxed{5} \\x-2=-3, x=\boxed{-1}\end{cases}[/tex]

Which algebraic expression represents the phrase “fourteen increased by a number”?

Answers

Answer:

14+x

Step-by-step explanation:

Which rays form the sides of _IHG?
H
A IG
B. GI
C. IH
D. GH
E. HI
F. HG

Answers

Given:

Angle IHG formed by two rays.

To find:

The rays that form the sides of ∠IHG.

Solution:

From the given diagram it is clear that the initial point of both rays is point H.

First ray passes through the point I with initial point H, so the name of first ray is [tex]\overrightarrow{HI}[/tex].

Second ray passes through the point G with initial point H, so the name of second ray is [tex]\overrightarrow{HG}[/tex].

The rays [tex]\overrightarrow{HI}[/tex] and [tex]\overrightarrow{HG}[/tex] form the sides of ∠IHG.

Therefore, the correct options are E and F.

find the elapsed time when starting time is 12:10 p.m. and finishing time is 2:05 p.m.​

Answers

Answer:

1 hr 55 mins

Step-by-step explanation:

50 mins between 12:10 and 1:00 p.m.

Add 5 mins to change 2:05 to 2:00.

55 mins and 1 hr

please solve its urgent

Answers

Answer:

1320

Step-by-step explanation:

First, a quotient is what you get when you divide numbers, it is the result.

So, if the quotient is 2 and it was divided by 50, reverse it by multiplying 50 by 26 to get 1300.

The remainder is 20 so then add 20 to 1300 to get 1320.

What is the probability that a student selected at random is a boy?
P( Answer
B
)= Answer

What is the probability that a boy selected at random is a Junior?
P( Answer
J | B
)= Answer

What is the probability of randomly choosing a student who is a Junior and a boy?
P(J Answer

B)= Answer

What is the probability of randomly choosing a student who is a girl given that she is not junior?
P( Answer
G | J '
)= Answer

What is the probability of randomly selecting a girl?
P(G)= Answer

Answers

Answer:

Pr(B) = 0.69

Pr(J/B) = 0.35

Pr(J∩B) = 0.14

Pr(G/J') = 0.66

Pr(G) = 0.31

Step-by-step explanation:

Applying,

Pr = possible outcome (a)/Total outcome(t)

(1) Pr(B) = a/t............ Equation 1

From the diagram

Given: a = 220+65+35 = 320, t = 220+65+35+145 = 465

Substitute these values into equation 1

Pr(B) = 320/465

Pr(B) = 0.69

(2) Pr(J/B) = (35+65)/(220+65)

Pr(J/B) = 100/285

Pr(J/B) = 0.35

(3) Pr(J∩B) = 65/465

Pr(J∩B) = 0.14

(4) Pr(G/J') = 145/220

Pr(G/J') = 0.66

(5) Pr(G) = 145/465

Pr(G) = 0.31

What is the value of the following function when x = 0?
y
5
(x)
4
3
2
1
V 2
-54 -3
3
4
х
5

Answers

Answer:

y=-2 when x=0

Step-by-step explanation:

The value of the function f(x), When x = 0 is y = - 2.

What is a polynomial?

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

What is a graph?

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

From the graph of the function, it intersects the x-axis at two distinct places

so it is a polynomial of degree two.

Let the given function be f(x).

By observing the graph of the function f(x), When x = 0, f(x) = - 2.

Or y = - 2.

learn more about polynomials here :

https://brainly.com/question/11536910

#SPJ7

Jamie answered 68 out of 80 questions. What percentage represents the point number of questions she answered?​

Answers

85% if the questions. You would take 68 and divide it by 80 to find the percentage of answered questions.

Answer:

85%

Step-by-step explanation:

To get the percentage of the number of questions Jamie answered, divide 68 by 80 to get 0.85, which is 85% in decimal form.

etry & measure > Circle measure > 534 - Circumference of a circle (1) > Quiz
sellaisellainen Tutos como completion
lalo na
rem

2.
TEC
3
116
-
4
5 →
6 >
EL
cm
5 of 10
Find the circumference of a circle with diameter, d = 9cm.
Give your answer rounded to 3 SF.
cm​

Answers

Answer:

28.26 cm

Step-by-step explanation:

circumference of a circle = πd

=3.14 * 9 cm

=28.26 cm

Plsss answer thissss

Answers

Answer:

lol

Step-by-step explanation:

Answer:

285 cm

Step-by-step explanation:

perimeter of big triangle

base = 19 + 27

=46 cm

perimeter = base*height/2

=46*30/2

=1380/2

=690 cm

perimeter of not white not shaded triangle

base = 27 cm

height = 30 cm

perimeter = base*height/2

=27*30/2

=810/2

=405 cm

perimeter of shaded triangle = 690 cm - 405 cm

=285 cm

help me find the volume (picture)

Answers

all u need to do is 3 x 3x 4 / 2= 18ft

Answer:

18

Step-by-step explanation

Please guys help me fast!!!!!

Answers

Answer:

there 24 possible outcomes.

each color/letter on the spinner could coincide with each side of the dice, so there 4*6 possible outcomes

{A, 1},{A,2},{A,3},{A,4},{A,5},{A,6},{B,1},{B,2}, ...

For Spinner :-

Sample Space=S={A,B,C,D}

Hence

|S|=4

For Dice:-

Sample Space=S={1,2,3,4,5,6}

Hence

|S|=6

what is a synthetic division used for

Answers

Answer:

pooping

Step-by-step explanation:

1.poop

2.wipe.

3.eat

4.sleep

If f (x)= 2x^2-7 find f (4)

Answers

Answer:

14

Step-by-step explanation:

f(x)=2x+7

f(4)=2(4)+7

=8+7

=15

f(-4)=2(-4)+7

=-8+7

=-1

f(4)+f(-4)

=15+(-1)

=14.

Answer:

25

Step-by-step explanation:

f (x)= 2x^2-7

Let x=4

f (4) = 2 ( 4)^2 -7

Exponents first

f(4) =2*16 -7

Multiply

f(4) =32 -7

Subtract

f(4) =25

Help will give brailiest to first answer

Answers

question isn't loading

Step-by-step explanation:

Answer:

i think it is b but don't take my word

Step-by-step explanation:

Please help me solve this

Answers

Answer:

m1 = 107°

m2 = 73°

m3 = 107°

m1+m2+m3+m4 = 360°

107+73+107+73=360°

Jayden earned $74.00 for 8 hours of work.
How much did he earn per hour?

Answers

Answer:

Jayden earns $ 9.25 per hour.

Step-by-step explanation:

Time                 Earnings

  8                      74

  1                       x

                                         

[tex]\frac{8}{1} = \frac{74}{x}\\\\8 \times x = 74 \times 1\\\\x = \frac{74}{8} = \$ 9.25[/tex]

Answer:

9.25

Step-by-step explanation:

He earned 9.25 money per hour because you divide 74/8 and it will give you 9.25. If you wanna double-check you can multiply 9.25 times 8 and you'll get 74.

Question 5
Which of the following correctly does the calculation 76?
a = 7% 6
a = 746
a = 7* 6
a = 7* 6

Answers

Answer:

7**6

Step-by-step explanation:

The expression 7^6 ; can be interpreted as 7 raised to the power of 6 ; which is (7 * 7 * 7 * 7 * 7 * 7). To execute this expression using a computer or basic mathematical operation on a computer we use the power symbol which the computer understand this the double multiplication symbol (**)

Hence, 7^6 = (7**6)

When subtracting 1.578 from 127.3, the result on the calculator is 125.722. Round the answer to the appropriate precision based on the precision of the numbers in the subtraction column

Answers

Answer:

[tex]127.3 - 1.578 \approx 125.7[/tex]

Step-by-step explanation:

Given

[tex]127.3 - 1.578 = 125.722[/tex]

Required

Round to the precision of the 1.578

The number in the subtraction column is 1.578; so, the question implies that we round up 125.722 to the precision of 1.578

The precision of 1.578 is 4 (i.e. it has 4 digits). Hence, 125.722 will be approximated to 4 significant digits.

So, we have:

[tex]125.722 \approx = 125.7[/tex]

or

[tex]127.3 - 1.578 \approx 125.7[/tex]

Daniel measured the diameter of the base of a candle. If the diameter of the candle measures 7 cm, what is the measure of the radius?

Answers

Step-by-step explanation:

diameter (d) = 7cm

radius (r)= d/2 .... formula

= 7/2 .....put the value

= 3.5cm

the measure of radius is 3.5cm.

does anyone know the answer to this question ​

Answers

$265.32

r = R/100
r = 4/100
r = 0.04 rate per year,
A = P(1 + r/n)nt
A = 1,000.00(1 + 0.04/1)(1)(6)
A = 1,000.00(1 + 0.04)(6)
A = $1,265.32
1,265.32-1,000=265.32
Other Questions
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Working on a newspaper improves students' listening and speaking capabilities as students need to talk to people to gather information. It also encourages people to work as a group as students have to work together with teachers, administrators, editors, and fellow students to create the newspaper. To conclude, every school should consider having newspaper clubs for the betterment of students.23Select the correct answer.Which claim is supported by the evidence that newspaper clubs improve communication skills and promote teamwork?A. When students work for a newspaper, it gives them an opportunity to attain knowledge about a vast range of subjects.B. This allows them to discover their interests and can help them choose the career that they wish to pursue in the future.C. Newspaper clubs help in the development of the students' personalities and prepares them for any future challenges.D. Moreover, students need to express themselves in a formal and appropriate manner, which strengthens their writing skills.I NEED HELP RIGHT NOW PLEASE HELP 3.1.9 - Quick Check: My NeighborhoodMiddle Spanish II (CL), 7.20 / 3. My Neighborhood / 3.1. My NeighborhoodWhich of the following statements about the culture in Central America is true?A. There is little ethnic diversity.B. There is a lot of Spanish influence.C. Most of the people are of Taino descent. Adam Smith believed that _____________ would lead to the production of items that consumers want. aself interest bgovernment control of resources clack of competition dproductivity Penecillin is a bacterium.TrueFalse President Roosevelt declared American neutrality in the European conflict.O TrueO FalseOdseyware Based upon your knowledge of cell wall structure, explain how the microbes causing meningitis and typhoid fever can induce fever and systemic shock in an infected patient. Pedro ordered a pizza. 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A new mother recalls from prenatal class that she should try to feed her newborn daughter when she exhibits feeding readiness cues rather than waiting until the baby is frantically crying. Which feeding cue would indicate that the baby is ready to eat?a. Waves her arms in the airb. Makes sucking motionsc. Has the hiccupsd. Stretches out her legs straight Find the measure of the exterior angle.The measure of the exterior angle of the triangle is Kyle's mother traveled the same 12 mile route as kyle, but she drove her car. During the first third, kyle's mother traveled at an average rate four times greater than kyle's. During the second third of the trip, she traveled at an average rate 4 miles less per hour less than the first third. During her last third of the trip, she traveled downhill at an average rate of 12 miles per hour greater than the second section. 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Solve each triangle rounding answers to the nearesttenth.2) c= 16, b=14 Find the area of the parallelogram: Lee y analiza a detalle el Anexo #1 de este plan de trabajo el cual habla sobre las fuentes alternativas de energa. Posteriormente con la informacin elabora un cartel o un cuadro sinptico en tu cuaderno donde organices la informacin para darla a conocer a los miembros de tu comunidad.