In an arithmetic progession T7 =20 and T13 =38,. Find the first term and the common difference. ​

Answers

Answer 1
The first term is two.
The common difference is three. Hope this helps!

Related Questions

Which of the following is most likely the next step in the series

Answers

Answer:

The answer is C

Step-by-step explanation:

You have to find the pattern, in this case it's 4,5,6, then 7

Hope this helps! :)

Answer:

its actualy D

Step-by-step explanation:

"Find y". I got this wrong and want to understand why and how to do the problem. Can someone please help?

Answers

Answer:

[tex]y=\frac{15\sqrt{3} }{4}[/tex]

Step-by-step explanation:

Well what you have here are two right triangles within another right triangles created by an altitude. This results in 3 similar triangles (see attached for reference)

As a result , using the properties of similar triangles, and taking ratios of their sides of the medium triangle and the largest triangle, we can form the following relationship:

[tex]\frac{b}{z}=\frac{y}{x} = \frac{z}{a+b}[/tex]  (we know that a+b = 15), hence the equation becomes:

[tex]\frac{b}{z}=\frac{y}{x} = \frac{z}{15}[/tex]  ----------eq 1

If we consider the largest triangle, we will see that

cos 30° = z / 15

but from our special angles (see second attachment) we know that cos 30° = (√3)/2

hence

(√3)/2 = z / 15

z = (15√3) / 2 --------eq 2

from the same largest triangle, we will also see that

sin 30° = x / 15

similarly from our special angles, we know that sin 30° = 1/2

hence,

1/2 = x/15

x = 15/2 --------eq 3

now that we have values for x and z, we can neglect the first term of equation 1 and form an equality with x, y and z

[tex]\frac{y}{x} = \frac{z}{15}[/tex]

[tex]y = x\frac{z}{15}[/tex]  (substituting the values for x and z that we found above)

y = (15/2) · [ (15√3) / 2] / 15

y = (15√3) / 4

[tex]y=\frac{15\sqrt{3} }{4}[/tex]

The quotient of 5 and a number, k ? Write the algebraic expression

Answers

Answer:

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

Step-by-step explanation:

Quotient refers to the result we get when we divide a number by another number. In more precise words, the dividend (numerator) over the divisor (numerator) equals the quotient.

In this case, 5 is the dividend, k is the divisor, which is representing an unknown number.

We cannot get an actual number, but we can use algebraic expression to express the quotient as follows:

Quotient of 5 and k = [tex] \frac{5}{k} [/tex]

.
Ms. Lady works-out with Ms. Beetle; her average
crawling time has increased to 4 feet per minute, while
Ms. Beetle, who is used to eating Hot Cheetos and
watching TV, averages 2.5 feet per minute. While at
Senn's Elm Tree-house, the three decide to experiment
with linear equations. The objective is to end up at the
Rose Bush at the same time. Senn still averages 5 feet per
minute. How much of a head start does he need to give
each of his friends in order for their function rules to
intersect at 92 feet (the rose bush). What is the equation
for each bug which makes their experiment successful?
Create a table and graph representing the situation.

Answers

Answer: Please find the attached file for the graph and find the answer in the explanation

Step-by-step explanation:

Let first calculate the normal time each of them will reach the 92 feet distance.

For senn

Time = 92/5 = 18.4 minutes

That means in 18.4 minutes the two other friends must reach the point at 92 feet.

Calculate the distance at the time for each of the friends.

For Ms Lady

Time = 92/4 = 23 minutes

Distance = speed × time

Distance = 4 × 18.4 = 73.9

92 - 73.6 = 18.4 feet

For Ms Beetle

Time = 92/2.5 = 36.8 minutes

Distance = 2.5 × 18.4

Distance = 46 feet

92 - 46 = 48 feet

Therefore, Senn must give a head start of 18.4 feet for Ms Lady

And 48 feet for Ms Beetle in order for their function rules to intersect at 92 feet (the rose bush).

Their equation will be

Ms Lady

Y = 4x + 18.4

Ms Beetle

Y = 2.5x + 48

Ms Senn

Y = 5x

Answer:

Chips are good!

Step-by-step explanation:

Is the open sentence 3z = 2z + 5 true or false when z = 5? A.True B.False

Answers

Answer:

3z = 2z + 5

when z=5

3*5=2*5+5

15=15

so true

Step-by-step explanation:

Evaluate –32 + (2 – 6)(10

Answers

Steps to solve:

-32 + (2 - 6)(10)

~Simplify

-32 + (-4)(10)

~Multiply

-32 - 40

~Subtract

-72

Best of Luck!

Answer:

The answer is -49

Step-by-step explanation:

The equation is: –32 + (2 – 6)(10).

Then u have to do PEMDAS

P=Parentheses

E=Exponents

M=Multiplication

D=Division

A=Addition

S=Subtraction

you follow the steps to get -49

What is the direction (angle) of the resultant vector?
Rx = -419
Ry = -253
R = 490
θ = ____ ° counterclockwise from the +x-axis

Answers

Answer:

[tex]\theta = 148.8[/tex]

Step-by-step explanation:

Given

[tex]R_x = -419[/tex]

[tex]R_y = -253[/tex]

[tex]R = 490[/tex]

Required

Determine the value of [tex]\theta[/tex]

Since, [tex]\theta[/tex] is counter clockwise from x axis;

The relationship between [tex]\theta[/tex], [tex]R_x[/tex] and R is

[tex]cos\theta = \frac{R_x}{R}[/tex]

Substitute values for Rx and R

[tex]cos\theta = \frac{-419}{490}[/tex]

[tex]cos\theta = -0.8551[/tex]

Take arccos of both sides

[tex]\theta = cos^{-1}(-0.8551)[/tex]

[tex]\theta = 148.770784108[/tex]

[tex]\theta = 148.8[/tex] (Approximated)

True or false: Supporting evidence refers to examples that can be used to help visualize why a statement is true. (1 point) This statement is false. Supporting evidence refers to examples that can be used to help visualize why a statement is false. This statement is true. This statement is false. Supporting evidence refers to examples that prove a statement is true. This statement is false. Supporting evidence refers to examples that prove a statement is false.

Answers

Answer:

The answer is: This statement is true :)

Step-by-step explanation:

what is the radius of 16\pi

Answers

Id imagine it being 8

For what x values is the function positive? Select all that apply

Answers

Answer:

Option (A)

Option (D)

Step-by-step explanation:

From the graph attached,

Values of function have been plotted on y-axis for every input value of 'x' on x-axis.

Graph clearly states that the function is positive (positive y-values or y > 0) in the two intervals,

-5 < x < 0 and 3.5 < x < 5

Therefore, option (A) and Option (D) will be the correct options.

Death Valley headquarters in California is 190 feet below sea level. Badwater, America's lowest point, is 92 feet lower than Death Valley headquarters. How far below sea level is Badwater?

Answers

Answer: 282 Feet.

Step-by-step explanation:

given data:

sea level of Death Valley California = 190 feet

Sea level of Badwater  America lowest point = 92 Feet lower than Dead valley.

Solution:

if Badwater is 92 feet lower than Death Valley,

Therefore; Badwater is 282  feet above sea level.

Find the length of each line segment or object

Answers

Answer:

1 ⁷/₈ in

Step-by-step explanation:

that is exactly 1 ⁷/₈ in

6. Ashley has 1 2/3 yards of fabric. She uses 1 1/2 yards of fabric to make a dress. After Ashley makes her dress, how much fabric does she have left? ​

Answers

She has 1/6 fabric left after she makes her dress.
Steps: You subtract 1 2/3 by 1 1/2 and get 1/6.

What is the value of x ? Enter in simplest form. X - 3/7 = 4

Answers

Answer:

[tex]x = \frac{31}{7}[/tex]

Answer:

31/7

Step-by-step explanation:

Plus both sides by 3/7, and on the left it is 4 + 3/7. Transfer that into an improper fraction, and it's 31/7

Please help, I don't understand, please
-8+(-3)=

Answers

Answer: -11

Step-by-step explanation:

Answer:

the answer is -11

Step-by-step explanation:

= -8+ -3

= -11

if f(x)=2x-1 what does f(10) equal

Answers

Answer:

19

Step-by-step explanation:

Step 1:

x = 10

Step 2:

2 ( 10 ) - 1

Step 3:

20 - 1

Answer:

19

Hope This Helps :)

28=8k+12-7k I HAVE 1 minute to answer this and show work QUICK PLEASE

Answers

Answer:

Step-by-step explanation:

16=k

The value of k from the given equation is 16.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 28=8k+12-7k.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 28=k+12

k=28-12

k=16

Therefore, the value of k from the given equation is 16.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

need answer asap pleasee

Answers

The answer should be (1,5)
The answer might be (1,5)

Solve for the valid solution set: x−3≥2 or x+5≥7

Answers

Answer: X ≥ 5 or X ≥ 2

Step-by-step explanation:

Add 3 to both sides for the first equation

x ≥ 5

and subtract 5 from both sides for the second one

x ≥ 2

Determine whether f(x) = 3x + 1 and g(x) = (x-1) / 3 are inverses functions. Group of answer choices There are not inverses since both composition equal x. There are inverses since both composition equal x. There are inverses since both composition equal x + 1. There are not inverses since (f (g(x)) = x + 1

Answers

Answer:

They are inverses since both composition equal x.

Step-by-step explanation:

Given the functions, f(x) = 3x + 1 and g(x) = (x-1) / 3, to check if they are inverses functions, we are to find the inverse of one of the function and check if it will give us the other function.

Let's look for the inverse of f(x).

Given f(x) = 3x+1

Let y = f(x) so that y = 3x+1

Replace y with x

x = 3y+1

Make y the subject of the formula of the resulting equation;

3y = x-1

y = (x-1)/3

The new function of x will be the inverse of f(x)

Hence f^-1(x) = (x-1)/3 = g(x)

Another way to check is to find their composition. Let's find f(g(x) and g(f(x)

F(g(x)) = f((x-1)/3)

Replace x with (x-1)/3 in f(x)

F(g(x)) = 3[(x-1)/3]+1

F(g(x)) = x-1+1

F(g(x)) = x

Similarly for g(f(x));

g(f(x)) = g(3x+1)

Replace x in g(x) with 3x+1

g(3x+1) = (3x+1-1)/3

g(3x+1) = 3x/3

g(3x+1) = x.

Since g(f(x)) = f(g(x)) = x, hence f(x) and g(x) are Inverses functions

During a science experiment, Daniel noted the starting

temperature of a -4°F. At the end of the experiment, the

change in temperature was -5°F. What was the final

temperature?



A.-1 B.1 C.9 D.-9

Answers

Answer: D. - 9

Step-by-step explanation:

Give the following :

Starting temperature = - 4°F

At the end of the experiment, the change in temperature was -5°F

What was the final temperature?

Taking the difference of the starting temperature and the final temperature should give the change in temperature over the course of the experiment.

Δtemperature = (final temperature - initial temperature)

Δtemperature = - 5°F

Initial /starting temperature = - 4°F

Hence,

-5 = final temperature - (-4)

-5 = final temperature + 4

Final temperature = - 5 - 4

Final temperature = - 9

rx - sx + y = b solve for y

Answers

Answer:

y =  b-rx+sx

Step-by-step explanation:

rx - sx + y = b

Subtract rx from each side

rx-rx - sx + y = b-rx

-sx +y = b-rx

Add sx to each side

sx - sx + y = b-rx+sx

y =  b-rx+sx

Consider the following exam question and student solution. Determine whether the solution is correct. If it is not​ correct, write a note to the student explaining why it is wrong and give a correct solution. Exam​ question: You can buy a ​56 pound bag of flour for ​$9 or you can buy a​ 1-pound bag for .39 cents. Compare the per pound cost for the large and small bags. Student​ solution: The large bag price is 56 divided by 9=6.22 ​per​ pound, which is much more than the 39 cent per pound price of the small bag.

Answers

Answer:

actually a 56 pound bag cost =9

so one pound bag cost =9/56=0.16 cents

Step-by-step explanation:

Which is the correct interpretation of the x-intercepts of the function? Their difference is the number of the most promo codes in a single day. Their sum is the total number of days the number of codes increased. Their sum is the total number of promo codes the publicist is releasing before the new record. Their difference is the number of days the first promo codes were released before the new record.

Answers

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

provide brainliest plz I need that bread

Help me pleaseee

The bottom number is a 4 btw it’s 20 points ❤️

Answers

Answer: It is 20 m, multiply each number by 1.25

is 3 by 3=9 rational or inrational and why

Answers

Answer:

KCC off KCC off off egg LLC

Answer:

rational

Step-by-step explanation:

3by3=3/3

= 1

1 is not eq. to 9

and 3/3 is 1

and 1 is rational no.

Find two consecutive whole numbers that √56 lies between (PLEASE HELP NEED ASAP!!!)

Answers

Answer:

8 and 7

Step-by-step explanation:

because the square root of something is something used in math

Consider the diagram Lines AC and RS are A coplanar. B parallel. C perpendicular D skew.​

Answers

Answer: The answer is skew!

Step-by-step explanation:h

When lines are not parallel, and they do not intersect, such lines are said to be skewed.

Line AC and RS are skew.

From the diagram, we have two planes.

Plane xPlane y

Line AC is on plane x, while line RS is on plane y

Plane x and plane y are not parallel;

So lines AC and RS are not parallel.

Also, both lines are not parallel.

Using the condition of skewness stated above, we can conclude that line AC and RS are skew.

Read more about skewness at:

https://brainly.com/question/1995934

Find the decimal that is equivalent to: 4/11

Answers

Answer:

0.3636 repeating

Step-by-step explanation:

When you divide them, it is 0.36363636 going on forever.

It’s 0.36 repeating

translate this phrase into algebraic expression 23 increased by twice gali’s score use variable g represent gali’s score

Answers

Hey there! I'm happy to help!

We have twice Gali's score, which is 2 multiplied by g, which we can write as 2g.

We increase 23 by 2g, which means, we add.

23+2g.

Have a wonderful day! :D

Answer:

23+2g

Step-by-step explanation:

Let g = gali's score

[tex]twice \:gali\: score = 2\times g\\\\= 2g[/tex]

To increase = +

[tex]23 +2g[/tex]

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