What is the series using summation notation?

36+69+102+...+267

Answer:

Step-by-step explanation: (5,-2)

Answer:

(5,-2)

Step-by-step explanation:

Answer:

The graph in the attached figure

Step-by-step explanation:

Let

x----> the time in months

y ----> the total inventory of the warehouse

we know that

The linear equation that represent this situation is equal to

[tex]y=3,000x+6,000[/tex]

using a graphing tool

see the attached figure

Answer: Guessing this is off the test.

The graph with

6

12

18

21

30 should be correct.

Step-by-step explanation:

The answer would be 0.6 if you divide 21/35.

Answer:

[tex]\frac{3}{5}[/tex]

Step-by-step explanation:

To simplify divide the numerator/denominator by the highest common factor of 21 and 35, that is 7

[tex]\frac{21}{35}[/tex] = [tex]\frac{3}{5}[/tex] ← in simplest form

Answer:

24

Step-by-step explanation:

⇒The question is on probability, to be specific its about counting principal

⇒You need to understand the counting rule where we multiply events together to get the total number of outcomes .

⇒In general  if we have an event t and another event s the total outcome for the events is given by t×s

⇒In this question  you multiply the number of ways we can make the different sandwiches

Given

meat=3 choices

cheese=2 choices

bread=4 choices

Outcomes= 3×2×4=24

The  total number of sandwiches that can be made = 24

There are 24 different sandwiches that can be made with 3 choices of meat, 2 choices of cheese, and 4 choices of bread.

The subject of this question is related to combinatorics, a topic in mathematics. The question asks, 'How many different sandwiches with one meat, one cheese, and one type of bread can be made if there are 3 choices of meat, 2 choices of cheese, and 4 choices of bread?'.

To find the answer, you would use the fundamental principle of counting which states that if there are n ways to do one thing and m ways to do another thing, then there are n * m total ways to perform both actions. In this case, we multiply the number of options together:

Hence, the total number of different sandwiches that can be made is given by 3 (choices of meat) * 2 (choices of cheese) * 4 (choices of bread), which equals 24 different sandwiches.

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Answer:

Step-by-step explanation:

Distribute sum groups

a(2a^2 - 5a - 2) - 2(2a^2 - 5a - 2)

Expand

2a^3 - 5a^2 - 2a - (4a^2 - 10a - 4)

Simplify brackets

2a^3 - 5a^2 - 2a - 4a^2 + 10a + 4

Collect like terms

2a^3 + (-5a^2 - 4a^2) + (- 2a + 10a) + 4

Simplify

= 2a^3 - 9a^2 + 8a + 4

"Something" is a variable. A variable is a number that we do not know. The variable will be x.

5,652 is the total; the total is 12 plus x.

5652 = 12 + x

Subtract 12 from each side

5652 - 12 = 12 + x - 12

5640 = x

change it around

x = 5640.

5640 is your answer

[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=9\\ h=13 \end{cases}\implies V=\cfrac{\pi (9)^2(13)}{3} \\\\\\ V=351\pi \implies V\approx 1102.70[/tex]

Credit cards offer more flexibility compared to other payment methods.

The correct answer is

A: more flexibility.

A: more flexibility - Credit cards provide users with the flexibility to make purchases without needing to have the full amount of money upfront. Instead, they can borrow funds up to a certain limit, known as the credit limit, and repay them later, often with interest. This flexibility allows cardholders to manage their cash flow more effectively and make purchases even when they may not have sufficient funds available in their bank account.

B: purchases are automatically deducted - This feature describes a debit card rather than a credit card. With a debit card, purchases are automatically deducted from the linked bank account at the time of the transaction, meaning that the cardholder needs to have sufficient funds available in their account to cover the purchase.

C: requires a linked bank account - While credit cards may require applicants to have a bank account for verification purposes, they do not necessarily need to be linked to a specific bank account for transactions to be processed. Credit cards operate on a revolving line of credit extended by the issuer, allowing cardholders to borrow money up to a certain limit regardless of their bank account balances.

D: similar to cash - Credit cards are not similar to cash. Unlike cash, which involves immediate payment and does not incur any interest charges, credit cards allow users to defer payment for purchases and may accrue interest if the balance is not paid in full by the due date. Additionally, credit cards offer various benefits such as rewards, cashback, and purchase protection, which are not typically associated with cash transactions.

Therefore the correct option is A: more flexibility

Complete question

Which of the following is a feature of a credit card?

A: more flexibility

B: purchases are automatically deducted

C: requires a linked bank account

D: similar to cash

Final answer:

To convert the decimal 0.612 to a fraction, express it as 612/1000 and then divide both the numerator and the denominator by their greatest common divisor, which is 4, to get the simplified fraction 153/250.

Explanation:

To rewrite 0.612 as a simplified fraction, one can first recognize that it's equivalent to 612/1000. After realizing that, we can simplify the fraction by finding the greatest common divisor (GCD) of both the numerator and the denominator. In this case, the GCD of 612 and 1000 is 4. Hence, we can divide both numerator and denominator by 4 to simplify the fraction.

Dividing both 612 and 1000 by 4, we obtain 153/250. So, 0.612 as a simplified fraction is 153/250.

Answer:

The inequality x3 − 14x2 + 48x − 1,680 ≤ 0 can be used to find pool’s length.

⇒The water level in the pool cannot exceed 14 feet.

Step-by-step explanation:

The question is on inequalities

Given;

Length= x ft

depth= x-6  ft

Width= x-8 ft

volume ≤ 1680 ft³

Forming the inequality to find length x of the pool

Volume= base area × depth

base area × depth ≤ volume

x(x-8) × (x-6) = 1680

(x²-8x )(x-6) = 1680

x(x²-8x) -6 (x²-8x)=1680

x³-8x²-6x²+48x=1680

x³-14x²+48x=1680

x³-14x²+48x-1680 ≤ 0

⇒The water level in the pool cannot exceed 14 feet...why?

taking the value of x at maximum to be 17 according to the graph, then maximum depth will be;

d=x-6 = 17-6=11 ft

⇒11 ft is less than 14ft

Answer:

2 1/2 months by the 3rd month

Step-by-step explanation:

Answer:

Kylee will receive the table in 24 months.

Step-by-step explanation:

Layaway is a type of purchasing method where the buyer places a deposit on an item to secure it or lay it aside. The buyer will pick up the item later when he pays the full balance.

This system allows the buyer to make smaller payments on the item until the full amount has been paid off.

So, if Kylee put the kitchen table on layaway, and agrees to pay $48 a month starting next month for 24 months. She will get the table in 24 months after completing her payment.

Answer:

Step-by-step explanation:

Instead of x put (t - 3) in the equation of the function f(x) = 4x² - 8x + 4:

f(t - 3) = 4(t - 3)² - 8(t - 3) + 4

use (a - b)² = a² - 2ab + b² and the distributive property a(b + c) = ab + ac

f(t - 3) = 4(t² - (2)(t)(3) + 3²) + (-8)(t) + (-8)(-3) + 4

f(t - 3) = 4(t² - 6t + 9) - 8t + 24 + 4

f(t - 3) = (4)(t²) + (4)(-6t) + (4)(9) - 8t + 28

f(t - 3) = 4t² - 24t + 36 - 8t + 28

f(t - 3) = 4t² + (-24t - 8t) + (36 + 28)

f(t - 3) = 4t² - 32t + 64

Answer:0.16091954023

Step-by-step explanation:

Answer: Based on the calculator it’s...

0.16091954023

Step-by-step explanation:

Identities have INFINITE solutions.

Hope I could help! :)

Answer:

Infinite solution

Step-by-step explanation:

We are given an equation is identity

We have to find that how many solutions equation have

Identity equation:Identity equation is that true equation in which no matter what value is substitute for variable .It is always true statement.

Suppose that we have an identity equation

[tex]x=x[/tex]

[tex]x-x=0[/tex]

[tex]0=0[/tex]

If this type of condition is obtained then we have infinite solutions.

So, if an equation is identity then the equation have infinite solutions.

Answer:  75%

Step-by-step explanation:

32 dollars times 75% = 24

32 - 24 = $8

The Discount is of amount $32.

The discount is equivalent to the difference between the purchase price and the par value. A discount is a decrease or deduction in a product's cost price.

Discount = Original price – Sale price.

We have,

Original price: $32

Sale price: $8

So, Discount Price = Original price - Sale price

                               = 32 - 8

                               = $24

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Answer:

Population size:10

Mean (μ): 16

Mean Absolute Deviation (MAD): 7.2

Step-by-step explanation:

Mean absolute deviation (MAD) Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. ... Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.

Answer:

[tex]\boxed{\text{101 fl oz}}[/tex]

Step-by-step explanation:

Step 1. Convert litres to millilitres

[tex]\text{V} = \text{3 L}  \times \dfrac{\text{1000 mL}}{\text{1 L}} = \text{3000 mL}[/tex]

Step 2.Convert millilitres to fluid ounces

[tex]\text{v} = \text{3000 mL} \times \dfrac{\text{1 fl oz}}{\text{29.6 mL}} = \boxed{\textbf{101 fl oz}}[/tex]

All you must do to find out how much is with held from his paycheck is

solve this

x amount of dollars

÷                                     = 4.63%

$895

To solve, multiply $895 by 0.0463 (the equivalent of 4.63%)

You get:  $41 . 43

That is how much is withheld from Wes' check

The amount of tax withheld from his paychecks is $41.43

Percentage is defined as a given part or amount in every hundred

Income tax rate given in the question = 4.63%

Weekly income given in the question = $895

Tax deducted = (4.63 / 100) * 895 = $41.43

Hence, $41.43 will be deducted from his paychecks every week.

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4+96=100 when you follow PEMDAS

Answer:

c) 100

Step-by-step explanation:

We want to evaluate

[tex]4\times1+6\times 16+0[/tex]

We use the order of operations, PEDMAS to solve this problem.

The first step here is to multiply to get:

[tex]4+96+0[/tex]

We now add to obtain:

[tex]100[/tex]

The correct answer is C) 100

Answer:

14 inches long

Step-by-step explanation:

Answer:

14 inches long

Step-by-step explanation:

119 square inches long

Answer:

119

Step-by-step explanation:

(✿◠‿◠)

Answer:

x = ±11

Step-by-step explanation:

x^2 = 121

Take the square root of each side

sqrt(x^2) = sqrt(121)

x = ±11

Answer:

The answers are on the image shown.

remember that all the angles of a triangle add up to 180

Step-by-step explanation:

hope this helps

Answer:

The measure of angle B is 54°. The measure of angle A is 51°. The measure of angle AFE is 47°.

Step-by-step explanation:

According to exterior angle theorem: It a triangle

Exterior angle = Sum of opposite interior angles

In triangle BED,

[tex]\angle AEF=\angle B+\angle D[/tex]

[tex]82=\angle B+28[/tex]

[tex]82-28=\angle B[/tex]

[tex]54=\angle B[/tex]

The measure of angle B is 54°.

In triangle ABC,

[tex]\angle ACD=\angle A+\angle B[/tex]

[tex]105=\angle A+54[/tex]

[tex]105-54=\angle A[/tex]

[tex]51=\angle A[/tex]

The measure of angle A is 51°.

In triangle AEF,

Using angle sum property,

[tex]\angle A+\angle E+\angle AFE=180[/tex]

[tex]51+82+\angle AFE=180[/tex]

[tex]133+\angle AFE=180[/tex]

[tex]\angle AFE=180-133[/tex]

[tex]\angle AFE=47[/tex]

Therefore the measure of angle AFE is 47°.

Answer:

1.A. X6Y5

Step-by-step explanation:

#2 I have no clue on that one.

So sorry but I simply forgot to answer your questions.

The answer to question 1 is A.

The answer to question 2 is D.

Answer:   $65 dollars to johnson plumbing

Step-by-step explanation:

she would owe johnson plumbing 40 for the check plus the returned check fee of 25

$40 + $25 = $65 to johnson plumbing

plus whatever her bank charged ( i did not see that amount listed)

Final answer:

Sarah Saver must have enough money to cover the original $40 check, the $25 fee from Johnson Plumbing, and any additional bank charges. The expression representing the total amount needed is $40 + $25 + B, where B represents the bank's charges.

Explanation:

The student is asking about the total amount Sarah Saver must have to balance her debts after writing a $40 check that was returned with additional charges and a $25 fee for the returned check from the company. To find the total amount Sarah owes, you need to sum the amount of the check and the additional fees charged by her bank and Johnson Plumbing.

Add the original check amount: $40.

Add the fee charged by Johnson Plumbing for the returned check: $25.

Add any additional charges by her bank (the question doesn't specify an amount, so let's denote this amount as B).

The total amount Sarah needs to settle her debts will be $40 + $25 + B.

Therefore, without knowing the specific bank charges, we cannot provide a numerical answer, but the expression $40 + $25 + B represents the total amount Sarah needs to cover her debts, with B being the additional bank charges.

Answer:

£270

Step-by-step explanation:

Works 7.5 hours per shift and there are 5 shifts in a week, hence

hours worked per week = 7.5 × 5 = 37.5

Pay per hour = £7.20, thus

Earnings for a week = 37.5 × 7.20 = £270

Answer:

You would need to sell 100 of each

Step-by-step explanation:

$5 times 100 people equals $500.

$10 times 100 people equals $1,000.

$1,000+$500=1,500

I hope this helped!

Answer:

100 each

Step-by-step explanation:

Answer:

Domain = All non-negative numbers; Range = All real numbers greater than or equal to 49; (1, 50)

Step-by-step explanation:

Answer:

Domain = all real number greater than or equal to 49

Range=all non- negative numbers

point=(50,1)

Step-by-step explanation:

The graph of q(x)=x-49

domain is the collection of numbers which assign for x in the function q(x)=x-49

therefore domain is the collection pf real number which is greater than or equal to 49 .

Range is the collection of numbers whic is obtained after aasignig value of x in the function q(x)=x-49

hence, range is the collection of non negative numbers which is obtained after putting the value of x in the given function  q(x)=x-49

when we put x=50 in q(x)=x-49 then we obtain 1

hence, the poin is (50,1) on the given graph.

[tex]\bf \cfrac{\textit{Alex's cars}}{\textit{Jim's cars}}=\cfrac{8}{3}\qquad \qquad \cfrac{\stackrel{\textit{40 more than \underline{j}}}{j+40}}{j}=\cfrac{8}{3}\implies 3j+120=8j \\\\\\ 120=5j\implies \cfrac{120}{5}=j\implies 24=j \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{Jim}}{j = 24}\qquad \qquad \stackrel{\textit{Alex}}{24+40\implies 64}\qquad \qquad \stackrel{\textit{altogether}}{24+64\implies 88}[/tex]

The total number of cars that Alex and Jim have altogether is 84 cars.

A ratio is a quantitative relationship between two different numbers that express the number of times in which a number is divisible within the other number. Sometimes ratios can be expressed in fraction form.

From the given information:

Then, we can express them in fraction form as:

[tex]\mathbf{\dfrac{8}{3} = \dfrac{x +40}{x}}[/tex]

8x = 3(x +40)

8x = 3x + 120

8x = 3x = 120

5x = 120

x = 120/5

x = 24

Jim = x = 24 cars

Alex = x + 40 = 24 + 40 = 64 cars.

The total number of cars they have altogether is 24+64 = 84 cars.

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