Question in the photo :) (Please help with my other questions!)

Question In The Photo :) (Please Help With My Other Questions!)

Answers

Answer 1

Answer:

a

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]u_{n}[/tex] = u₁ + (n - 1)d

given u₂₀ = 100 and u₂₅ = 115 , then

u₁ + 19d = 100 → (1)

u₁ + 24d = 115 → (2)

subtract (1) from (2) term by term to eliminate u₁

0 + 5d = 15

5d = 15 ( divide both sides by 5 )

d = 3

substitute d = 3 into (1) and solve for u₁

u₁ + 19(3) = 100

u₁ + 57 = 100 ( subtract 57 from both sides )

u₁ = 43

Answer 2

Answer:

a) u₁ = 43, d = 3

Step-by-step explanation:

Given :-

u₂₀ = 100

u₂₅ = 115

To Find :-

u₁ and d

Solving :-

u₂₀ = u₁ + 19d = 100 -(1)

u₂₅ = u₁ + 24d = 115 -(2)

(2) - (1)

5d = 15

d = 3

u₁ + 19(3) = 100

u₁ + 57 = 100

u₁ = 43

Solution :-

a) u₁ = 43, d = 3


Related Questions

Question is in the pic​

Answers

Y=2/3+1 something like that

What is the approximate value of x in the equation below. log subscript three-fourths baseline 25 = 3 x minus 1

Answers

Answer:

12123

Step-by-step explanation:

Answer:

A.) -3.396

Step-by-step explanation:

On edg ;)

Katrina bought new shoes for $55.00, jeans for $29.99, and a new blouse for $27.79. Sales tax in her area is 7 percent. What was the total charge for her purchases?

Answers

Answer:

$120.67

Step-by-step explanation:

1. 55+29.99+27.79 = 112.78

2. 7% of 112.78 is 7.89

:)

Can someone help me please

Answers

Answer:

[tex]it \: has \: a \: circular \: symmetry[/tex]

Express the following equation in the form of ax^2+bx+c=0.
(4a+3)^2 = (a+5)(a-2)

Answers

Answer:

15a² + 21a + 19 = 0

Step-by-step explanation:

(4a + 3)² = (a + 5)(a - 2)

16a² + 24a + 9 = a² + 3a - 10

15a² + 21a + 19 = 0

Ayden collects football, baseball, and Pokémon cards. He has four times as many baseball cards as football cards. His Pokémon cards contain 7 more cards than his baseball collection. If he has 106 cards all together, how many of each type does he have?

Answers

Answer: Ayden has 11 football cards,44 baseball cards and 51 Pokemon cards which totals  106 cards all together

Step-by-step explanation:

STEP 1 :

Let x represent number of football cards

He has four times as many baseball cards as football cards, let baseball cards be = 4x

Pokémon cards contain 7 more cards than his baseball collection,let Poke mon cards = 4x +7

Step 2 :

Putting in equation we have that

Football cards + Baseball cards + Pokemon cards = 106 cards

Therefore,

x + 4x + 4x+7 = 106

9x + 7 = 106

9x = 106-7

9x = 99

x =99/9 = 11

therefore football cards , x = 11 football cards

 baseball cards = 4x = 4 x 11 = 44 baseball cards

Pokemon cards = 4x+7= 4x11 +7 = 44 +7 =51 Pokemon cards

4n^2+16n+15 factor completely

Answers

Answer:

(2n+3)(2n+5)

Step-by-step explanation:

Mr. Chen started a new exercise program and is walking four days a week last week he walked the same distance each day for a total of 21 miles if W represents the number of miles he walked each day which equation can be used to find the value of W

Answers

21 divide by 4=5.25
W=5.25 miles a day

Answer:

it's 21/4

Step-by-step explanation:

on time 4 learning

p.s. stream sour by Olivia Rodrigo

Common multiple of 12 and 20

Answers

Answer:

4

Step-by-step explanation:

Answer: 60

Step-by-step explanation:

write down the 12 times table

12 , 24, 36, 48, 60, 72, 84, 96, 108, 120

20, 40, 60, 80, 100, 120, 140, 160, 180, 200

Now you can see that 60 is the multiple that comes up first in both of the times tables which means it is the lowest common factor.

Give the coordinates of each vertex (D, E and F) and explain how you found the coordinates using the transformation rules.

Answers

Step-by-step explanation:

We have that the vertices of triangle ABC are:

A(4, 2)

B(7, 9)

C(7, 2)

First, we are reflecting over the y axis, which makes (x,y) map onto (-x, y). This gives us:

A'(-4, 2)

B'(-7, 9)

C'(-7, 2)

Then, we translate 5 units down, meaning we subtract 5 from each of the y coordinates. This gives us a final answer of:

D(-4, -3)

E(-7, 4)

F(-7, -3)

16c-8d equivalent expression

Answers

Answer:

8(2c - d)

Step-by-step explanation:

16c - 8d ← factor out 8 from each term

= 8(2c - d)

(20 POINTS!!!!) The expression 14₆÷ 14₄ is equal to _____. (The small numbers are supposed to be the exponents or something?)
Awnsers
14 ₂
1
2
14 ₁₀

Answers

Answer:

14^2

Step-by-step explanation:

i just plugged into calculator lol

Given expression:

           

                    14⁶   /   14⁴

   Using the exponent rule;

               [tex]\frac{x^{n} }{x^{m} }[/tex]   = [tex]x^{n-m}[/tex]

  So;

                 x  = 14

                 n = ⁶6

                  m = 4

So;

         [tex]\frac{14^{6} }{14^{4} }[/tex]  = 14⁶⁻⁴

                = 14²

Question 2 of 10
In the diagram below, BD is parallel to XY. What is the value of x?
*
A. 120
B. 60
ОООО
D. 40

Answers

D . 30 I think it’s that because half of 60 is 30 so yea it’s 30 .

Answer:

Step-by-step explanation:

It’s 60 baka

Anthony's father is going to put a tile border around this square fish pond. The pond is 1

yard on each side. The tiles are squares that are 1 foot on each side. How many tiles will

Mr. Chen need?

Answers

Answer:

12 tiles

Step-by-step explanation:

1 yard = 3 feet, so 3*4 = 12, because it makes four yards in total with each side being a yard.

The time it takes to complete a certain job is directly proportional to the number of units produced. If it takes 22 minutes to proficiently 18 units, how many units are produced in 33 minutes?

Answers

Answer:

27 units

Step-by-step explanation:

let t represent time and n represent number of units

given t is directly proportional to n then the equation relating them is

t = kn ← k is the constant of proportion

to find k use the condition t = 22, n = 18 , then

22 = 18k ( divide both sides by 18 )

[tex]\frac{22}{18}[/tex] = [tex]\frac{11}{9}[/tex] = k

t = [tex]\frac{11}{9}[/tex] n ← equation of variation

when t = 33 , then

33 = [tex]\frac{11}{9}[/tex] n ( multiply both sides by 9 )

297 = 11n ( divide both sides by 11 )

27 = n

27 units are produced in 33 minutes

Peyton is a salesperson who sells computers at an electronics store. She makes a base pay amount of $60 per day regardless of sales and she earns a commission of 2.5% of the dollar amount of all sales that she makes. Write an equation for P,P, in terms of x, representing Peyton's total pay on a day on which she sells xx dollars worth of computers.

Answers

Answer:

Step-by-step explanation: if Peytons base pay= $60 plus she earns commission on $x (computers sold)

P= $60+ (0.025x)

You would multiply by 0.025 as this equals 2.5%

Remember PEMDAS- parentheses, exponents, multiplications, division, addition, subtraction

I need help..
5x-3+3x+7 if x=3

Answers

Answer:

28

Step-by-step explanation:

Replace x with 3, and multiply the number next to it.

5(3)= 15

3(3)=9

so, 15-3+9+7=28

Answer:

28

Step-by-step explanation:

To solve this, replace every x with (3). If x is next to a number, that means you multiply that number and the value of x. This gives us the equation 5(3)-3+3(3)+7. When a set of parentheses are next to a number, you multiply. 5 times three is 15, and 3 times 3 is 9. This gives us 15-3+9+7. 15 - 3 is 12. 12 + 9 is 21. 21 + 7 is 28. 28 is your answer.

Find the equation of the parabola with a focus at the point (2,5), and a directrix of y=3.
A). y=x^2/2-x+3
B).y=x^2/4-x+3
C).y=x^2/2-x+5
D).y=x^2/4-x+5

Answers

the answer is b! hope it’s correct

What is "A" in this problem equal to? 4/5 = 24/A. Explain your answer! *

Answers

Answer:

A = 30

Step-by-step explanation:

cross multiply to get A out from the denominator

4/5 = 24 /A

4A = 24 x 5

4A = 120

4A/4 = 120/4   divide

A = 30

how do you solve
10^-3

Answers

Answer:

0.001

Step-by-step explanation:

Answer:

[tex]\frac{1}{1000}[/tex]

Step-by-step explanation:

[tex]10^{-3}[/tex]

[tex]= \frac{1}{10^{3}}[/tex]

[tex]= \frac{1}{1000}[/tex]

The volume of a cube is 7,077.888 cubic meters. What is the length of each side of the cube?

Answers

Answer:

19.2

Step-by-step explanation:

Take note:

a = edge

v = volume

Equations for a Cube

[tex]v=a^{3}[/tex]

[tex]a=v^{\frac{1}{3} }[/tex]

We are given V. Plug 7,077.888 into the second equation.

[tex]a=7077.888^{\frac{1}{3} }[/tex]

[tex]a=19.2[/tex]

Ray QS bisects PQR and mPQR =57°
Find mPQS

Answers

Answer:

The measure of angle ∠PQS is 28.5°

Step-by-step explanation:

If a ray bisects an angle, then it divides it into two equal angles in measures and the measure of each one is half of the measure of this angle.

In our question

∵ Ray QS bisects ∠PQR  

→ That means it divides it into two angles PQS and SQR

m∠PQS = m∠SQR = [tex]\frac{1}{2}[/tex] m∠PQR

∵ m∠PQR = 57°

→ Multiply its measure by  [tex]\frac{1}{2}[/tex] to find the measures its parts

∴ m∠PQS =  [tex]\frac{1}{2}[/tex] × 57°

∴ m∠PQS = 28.5°

The measure of angle ∠PQS = 28.5°

A farmer had 3,000 acres of land. He planted 30% of it with wheat, 45% of it with corn, and the rest with oats.
Find how many acres he planted with each kind of grain

Answers

Answer:

900 acres of wheat

1350 acres of corn

750 acres of oats

Step-by-step explanation:

3000 = 100%

÷ 10 both sides

300 = 10%

× 3

900 = 30%

300 = 10%

× 4

1200 = 40%

300 ÷ 2 = 150 (5%)

1200 + 150 = 1350

1350 + 900 = 2250

3000 - 2250 = 750

42 + (-31) + (-12) =

Answers

Answer:

-1

Step-by-step explanation:

I used a calculator :)

The answer is -1

Because if you do all the math you will find that the answer is -1.

Sled dogs have thick fur to keep them warm. But they can overheat while running if it’s too warm outside. The maximum temperature the dogs can run in is 71º higher than their minimum of -71ºF. What is the maximum temperature that they can run in?

Answers

Answer:

-71 + 71 =0 so 0°

Step-by-step explanation:

I hate the fact that it needs to be 20 letters

2. Mr. Rivera revealed that 70% of the students got an A on the vocabulary quiz in ELA this.
week. If there are 100 students in Mr. Riverds class, create a model that represente bo
many students got an A.

Answers

Answer:

143 to the nearest Whole #

Step-by-step explanation:

100/0.70=142.59

can someone please simply this and show the work ?

Answers

Answer:

it's one of this two. if it's exactly how you have written it , it's the first picture.

Answer:

12[tex]\sqrt{5}[/tex]x^5

Step-by-step explanation:

Apply exponent rule

Add the numbers

Multiply the numbers

Factor integer

:)Hope you enjoy this:)

Help please I need help with this

Answers

Answer:

  π/6 ≈ 11/21 cubic units

Step-by-step explanation:

Use the given values in the formula for the volume of a sphere:

  V = 4/3πr³

  V = (4/3)(22/7)(1/2)³ = 4·22/(3·7·8) = 11/21 . . . . cubic units

We know,

[tex]{\qquad { \longrightarrow \pmb {\sf Volume_{(Sphere)} = \dfrac{4}{3} \pi {r}^{3} }}}[/tex]

Here,

Radius of the sphere is [tex] \sf\dfrac{1}{2} .[/tex]

We will take the value of π as [tex] \sf\dfrac{22}{7} .[/tex]

Substituting the values in the formula :

[tex] { \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times {\bigg(\dfrac{1}{2} \bigg)}^{3} }}}[/tex]

[tex] { \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{4}{3} \times \dfrac{22}{7} \times \dfrac{1}{8} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{ \cancel4}{3} \times \dfrac{22}{7} \times \dfrac{1}{ \cancel8} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{ 1}{3} \times \dfrac{22}{7} \times \dfrac{1}{ 2} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{22}{3 \times 7 \times 2} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\sf Volume_{(Sphere)} = \dfrac{22}{42} }}}[/tex]

[tex]{ \longrightarrow {\qquad {\bf Volume_{(Sphere)} = \dfrac{11}{21} }}}[/tex]

Therefore,

Radius of the sphere is [tex] \bf \dfrac{11}{21} [/tex] units³.

What is the area of a rectangle with length 4 cm and width 12 cm?
16 cm2
48 cm2
3 cm2
32 cm2​

Answers

Answer:

option 2 = 48 cm ²

12 × 4 = 48

cm × cm = cm²

answer = 48 cm²

The answer is 48 cm because area=LxW so that means that you have to multiply 4 cm and 12 cm so 4x12=48

(#10) How do I check if this is right for Hugo?

Answers

you're correct that, since Hugo is charging Johnny $2000, so the amount invested will be 98000.

[tex]~~~~~~ \stackrel{\textit{\Large Hugo}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$98000\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &15 \end{cases}[/tex]

[tex]A=98000\left(1+\frac{0.06}{4}\right)^{4\cdot 15}\implies A=98000(1.015)^{60}\implies A\approx 239435.54 \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \stackrel{\textit{\Large Hector}}{\textit{Compound Interest Earned Amount}}[/tex]

[tex]A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$100000\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases} \\\\\\ A=100000\left(1+\frac{0.055}{12}\right)^{12\cdot 15}\implies A=100000\left( \frac{2411}{2400} \right)^{180}\implies A\approx 227758.38[/tex]

well, seems that even though Hugo is charging some Johnny, the returned amount is more than with Hector, so Johnny should give Hugo a call.

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