What is the sum of the series?
10
Σ(7k– 2)
k=1

Answers

Answer 1

Answer:

365

Step-by-step explanation:

The simplest method is to substitute values of k = 1 to 10 into the expression and sum the terms, that is

7(1) - 2 + 7(2) - 2 + 7(3) - 2 + 7(4) - 2 + 7(5) - 2 + 7(6) - 2 + 7(7) - 2 + 7(8) - 2 + 7(9) - 2 + 7(10) - 2

= 5 + 12 + 19 + 26 + 33 + 40 + 47 + 54 + 61 + 68

= 365


Related Questions

Having a hard time on these 2

Answers

Answer:

3. A = 363.3 mm²

4. A= A = 1122.4 yd²

Step-by-step explanation:

pretty sure these are correct

plz mark brainliest!

3. A= 363.3
4. 1122.4

John has $132.55 in his bank account. He wants to join a guitar class that charges a $15 fee every week. John plans to take the class for 12 weeks. If John pays for 12 weeks of guitar classes from his account, his account balance will be $.

Answers

Answer:

-47.45$

Step-by-step explanation:

B=132.55-15x

B=132.55-15*12

B=132.55-180

B=-47.45

-47.45$

As 12 weeks * 15$= 180
180$-132.55$= -47.45$

Ann increased the quantities of all the ingredients in a recipe by 60% She used 80 grams (g) of cheese How much cheese did the recipe require?

Answers

Answer:g = 50 g

Step-by-step explanation:

She used 60% more than required ⇒ she used (1+0.60)=1.60 times what was required.

x = grams required by the recipe

80 g = 1.60x

x = (80/1.60) g = 50 g

please!!1!1!
the triple of the area of ​​a square is 1587 m2 What is the side of the square?

Answers

Answer:

23 m

Step-by-step explanation:

Given that triple the area = 1587 m² , then

area = 1587 ÷ 3 = 529 m²

The area of a square = s² ( s is the measure of the side ), thus

s² = 529 ( take the square root of both sides )

s = [tex]\sqrt{529}[/tex] = 23 m


6. What is a reasonable temperature to cook a chicken?
a) 100°F b) 200°F c) 300°F d) 400°F​

Answers

Answer:

200°F

Step-by-step explanation:

165 degrees Fahrenheit is the safe internal temperature for both the white meat and dark meat.

Answer:

The answer might be B. I hope this helps please tell me if right or wrong.

Step-by-step explanation:

A man spends 2/5 of his salary on food, 3/10 on his rent and 1/8 on other expenses. What fraction of his salary is still left with him?

Answers

Answer:

[tex]\frac{7}{40}[/tex]

Step-by-step explanation:

[tex]1-(\frac{2}{5}+\frac{3}{10}+\frac{1}{8})[/tex]

[tex]1-\frac{33}{40}[/tex]

[tex]\frac{7}{40}=0.175[/tex]

Answer:

7/40 is still left with him.

Step-by-step explanation:

LCM 5,10,8 = 40

2/5 = (x8) = 16/40 = food

3/10 = (x4) = 12/40 = rent

1/8 = (x5) = 5/40 = other expenses.

16/40 +12/40 + 5/40 = 33/40

40/40 - 33/40 = 7/40

What is the explicit formula for the sequence?
7, 2, –3, –8, –13, . . .

Answers

Answer: Choice A,  [tex]a_n = -5n+12[/tex]

===========================================================

Explanation:

[tex]a_1 = 7[/tex] is the first term

[tex]d = -5[/tex] is the common difference, telling us to add -5 to each term to get the next term. This is the same as subtracting 5 from each term

The nth term of the arithmetic sequence is,

[tex]a_n = a_1 + d(n-1)\\\\a_n = 7 + (-5)(n-1)\\\\a_n = 7-5(n-1)\\\\a_n = 7-5n+5\\\\a_n = -5n+12\\\\[/tex]

----------------

As a check, let's plug in n = 4 and we should get -8 as our fourth term

[tex]a_n = -5n+12\\\\a_4 = -5(4)+12\\\\a_4 = -20+12\\\\a_4 = -8\\\\[/tex]

so that confirms that portion of the sequence. I'll let you check the other values.

WILL MARK BRAINLIEST ANSWER
You are a judge and the following case have come before you. Apply the Rule and make a decision as to whether these "vehicles" can drive through the park. Explain your reasoning.
An ambulance has a dying car accident victim in it and is racing to the hospital. The shortest route is through the park, so the ambulance drives through.

Answers

Well, my decision would be to let these kinds of vehicles like ambulances, police cars, fire-fighter trucks, etc., drive through the park. The reason I'd decide to let these vehicles drive through the park is because, well, you never know if someone is in critical danger and needs urgent assistant. If the shortest route to get to the person is through the park, it'd be reasonable and understandable because you don't want that person do get hurt do you?

so sorry if I went a bit off. Although, I hope this helped, have a great day!

(Also can i have brainliest by any chance? ' - ')

A golfer exerts a force of 15.0 N on a golf ball that has a mass of 0.42 kg. What is the golf
ball's acceleration?

Answers

Answer:

35.71m/s²

Step-by-step explanation:

using the formula force(F)=mass(m)×acceleration(a)

a =

[tex] \frac{f}{m} [/tex]

F=15.0N

m=0.42kg

a=?

a=15÷0.42

a=35.71m/s²

Answer:

C

Step-by-step explanation:

The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.

Answers

uquzas prguntale ea otroi


Which of the following is a random sample?

Answers

Answer:

A.

Step-by-step explanation:

A. City voters were asked about candidates. That seems to be random.

B. A survey about singers took place at a specific concert. Naturally, the people who are there like this singer. It is not random.

C. Customers were asked about food at a pizza shop. Naturally, they like pizza. This is not random.

D.  An email survey was sent. Mostly people who own computers will respond. This is not random.

Answer: A.

947/7 it is hard because it is confused

Answers

Answer:

135.2857142857143

Step-by-step explanation:

its right?

Answer:

7 x 1 = 1

9-7=2

7 x 3 = 21

24-21=3

7 x 5 = 35

37-35=2

135 remainder 2

Step-by-step explanation:

WILL GIVE BRAINLIEST! 20 POINTS!

Answers

Answer:

The second option

Step-by-step explanation:

Since CD is a perpendicular bisector of AB, D is equidistant from both A and B

Answer:

B.

Step-by-step explanation:

A perpendicular bisector is equidistant from two points. In this case, AD and CD are the same distance.

The function ƒ(x) = 4x + 1 is transformed to g(x) = 2x + 1. What type of transformation has occurred? A) Reflection and Vertical Translation B) Rotation C) Reflection D) Rotation and Vertical Translation

Answers

Answer:

B) Rotation

Step-by-step explanation:

The only difference between functions f(x) and g(x) is the slope. To get from f(x)=4x+1 to g(x)=2x+1, you would need to rotate slightly clockwise about point (0,1) - the y-intercept. This would make the graph less steep (2x is less steep than 4x) while still retaining the (0,1) y intercept.

Answer:

Rotation

Step-by-step explanation:

Find the area of the following shapes:

Answers

Answer:

24 square units

Step-by-step explanation:

You apply area of a trapezium


Travis has the following problem for homework:
82 - 16 x 4 + 18+ [(36/6) - 2]
His neighbor, Ted, says "just solve it working left to
right." Ted gets an answer of 51.
What is the correct answer? (Hint: Ted doesn't know
PEMDAS).​

Answers

Answer:

The correct answer is -4

Step-by-step explanation:

First you have to solve what is in the parenthesis. So do 36/6 which is 6 and then subtract 2 to get 4. Then you have to do the multiplication so 16 x 4 and you get 64. then you can go left to right. 82-64+18+4 and when you do that you get -4

What are the solutions to the system of equations?
x² + y² = 5
y= 2x

Answers

Answer:

(x1, Y1) = ('1, '2) (x2, Y2) = (1,2)

Step-by-step explanation:

can someone help with this?

Answers

Answer:

Figure 1

The coordination of D is (a,0) and E is (b,c)

figure 2

The coordination of D is (0,b) and E is (a,0)

If y varies inversely as x2 and y = 3 when x = 2, find the equation that connects x and y.

Answers

Answer:  y = 12/(x^2)

============================================================

Explanation:

"y varies inversely as x^2" means y = k/(x^2) for some constant k.

Plug in (x,y) = (2,3) and solve for k

y = k/(x^2)

3 = k/(2^2)

3 = k/4

3*4 = k

12 = k

k = 12

The original equation updates to y = 12/(x^2)

As a check, plugging in x = 2 should lead to y = 3

y = 12/(x^2)

y = 12/(2^2)

y = 12/4

y = 3 ... we get the proper y value, so the answer is confirmed.

The equation that connects x and y, is,   y = 12/(x^2).

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

"y varies inversely as x^2" means y = k/(x^2) for some constant k.

Plug in (x,y) = (2,3) and solve for k

y = k/(x^2)

3 = k/(2^2)

3 = k/4

3*4 = k

12 = k

k = 12

The original equation updates to y = 12/(x^2)

As a check, plugging in x = 2 should lead to y = 3

y = 12/(x^2)

y = 12/(2^2)

y = 12/4

y = 3 ... we get the proper y value,

Hence, The equation that connects x and y, is,   y = 12/(x^2).

To learn more on equation click:

brainly.com/question/24169758

#SPJ2

What would be the cost for 5 of the gift cards?

Answers

Answer:100 is the answer

Step-by-step explanation: your going up 20 every dot my G

Answer:

$100

Step-by-step explanation:

Find the slope-intercept form of an equation of the line perpendicular to the graph of x – 3y = 5 and passing through (0, 6).

Question 11 options:

a)

y = 13x − 2

b)

y = 3x – 6


c)

y = 13x + 2

d)

y = –3x + 6

Answers

Answer:

work pictured and shown

A sprinter travels a distance of 300 m in a time of 28.22 seconds. What is the sprinter's average speed rounded to 4 sf?

Answers

Answer:

[tex]10.6 \: m/s[/tex]

Step-by-step explanation:

Average speed = distance covered divided by the time taken.

[tex]S=\frac{d}{t}[/tex]

[tex]\frac{300}{28.22}[/tex]

[tex]=10.63075[/tex]

Answer:

10.63m/s

Step-by-step explanation:

distance traveled=s=300m

time taken=t=28.22s

average speed=v=?

average speed=[tex]\frac{distance covered}{time taken}[/tex]

average speed=[tex]\frac{300m}{28.22s}[/tex]

average speed=10.63075m/s

now in the question it is said that round to 4 significant figures so will write only first four digits

average speed=10.63m/s

Simplify: 6-/18 - 3.450

Answers

Answer:

-3.11666666667

Step-by-step explanation:

remove parentheses by multiplying factors.

use exponent rules to remove parentheses in terms with exponents.

combine like terms by adding coefficients.

combine the constants. hope this helps you :)

Solve 7x - 1 = 20 help

Answers

Answer: x=3

Explanation:
7x-1=20
Add 1 to both sides
7x=21
Divide both sides by 7
X=3
Isolate the x in the equation.

First add both sides by one.

7x - 1 + 1 = 20 + 1

Simplify.

7x = 21

Divide each side by 7.

7x/7 = 21/7

Simplify.

x = 3

A picture was marked at $90.00. It was sold at 3/4 of its marked price. What was the sale price?

Answers

the answer is: $22.50

Answer: $67.50

Step-by-step explanation:

Marked price = $90

It is sold at 3/4 of marked price

3/4 of 90

3*4 x 90 = 135/2

= 67.50 = sale price

Which would be used to solve this equation? Check all that apply.
p/3=12
subtracting 3 from both sides of the equation
multiplying both sides of the equation by 3
dividing both sides of the equation by 3
substituting 4 for p to check the solution
substituting 36 for p to check the solution

Answers

Answer: multiplying both-side of the equation by 3 substituting 36 for p to check the solution

Step-by-step explanation: Help I help

Help please if you answer you get 25 points

Answers

The answer is 3.9. In fraction form the answer is 89/10. In mixed fraction form the answer is 8 9/10

Answer:

8.9

Step-by-step explanation:

Use Pemdas or Bedmas ( Brackets, Exponents, Division, Multiplication, Addition, Subtraction.

First add 4.5 and 7.6, you get 12.1

Now do the division, 8/2.5 = 3.2

Lastly you subtract, 12.1-3.2 = 8.9

find the slope of the line that passses thruogh 1,5 and 10,9

Answers

Answer:  The slope is 4/9  or -4/-9.

Step-by-step explanation:

(1,5)  

(10,9)   Find the difference in the y values and divide it by the difference in the x values.

5-9= -4

1- 10= -9

-4/-9= 4/9

so the slope is 4/9  

Using the slope we could also find the y-intercept and write the equation.

5=4/9 (1) + b    where b is the y-intercept

  5= 4/9 + b

-4/9   -4/9

b= 41/9  

Now we will have the equation  y= 4/9 + 41/9

I need help on this 10j< – 10

Answers

Answer:

j<-1

Step-by-step explanation:

10j<-10

divide both sides by 10 and get

j<-1

Answer:

[tex]j < - 1[/tex]

Step-by-step explanation:

[tex]10j < - 10 \\ \frac{10j}{10} < \frac{ - 10}{10} \\ = j < - 1[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Asha found that a vertical line intersects the graph of x = StartAbsoluteValue y EndAbsoluteValue at two points. What can Asha conclude about x = StartAbsoluteValue y EndAbsoluteValue?
A. It is a function of x but not a relation.
B. It is a relation but not a function of x.
C. It is both a function of x and a relation.
D. It is neither a function of x nor a relation.

Answers

Answer:

B. It is a relation but not a function of x.

Step-by-step explanation:

I just took the quiz on edge

Answer:

B. It is a relation but not a function of x

Step-by-step explanation:

Other Questions
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Chris calculated a statistically significant difference between the two versions of the exam (t(198)= 3.1, p< 0.005) and concluded that the new exam was not a valid substitute for the old exam. There is a problem with validity. Which validity is weak in this example? a. external validity b. construct validity c. statistical validity d. internal validity Which properties justify the steps taken to solve the system? {3x2y=104x3y=14 Drag and drop the answers into the boxes to match each step. A sample of chloroform, CHCl 3 , , was determined to have a molecular mass of 112.3g / (mol) . Its molecular mass is known to be 119.5g / (mol) . Calculate the absolute error and the percent error using the method of completing the square to solve the quadratic equation :: x^2-20x+24=0which number would have to be added to "complete the square"? Round $0.6683 to the nearest cent What was the Union's two-part strategy known as? 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