The sum of an 84-number series is –7,980. What is the sum of the first and last numbers?

Answers

Answer 1

Answer:

- 190

Step-by-step explanation:

Since the sum of 84 number series is -7980. We have to find the sum of first and last numbers. Since sum of an arithmetic sequence is represented as. S =. (First + last) =. So the total of first and last term is (-190). Option B. -190 is the correct option.

Answer 2

Answer:

B) -190

Step-by-step explanation:

Trust


Related Questions

Write the equation of a line that passes through the point (6,-3) and has a slope of -2

A. y= -2x+9
B. y= -3x+6
C. y= 6x-3
D. y=9x-2

Answers

Answer:

A

Step-by-step explanation:

You don't have to do anything, the only equation with a slope of -2 is A.

what is the volume of a hemisphere with a radius of 6?

Answers

V

=

4

3

π

r

3

=

4

3

·

π

·

6

3

904.77863

Write down all the factors of 15.

Answers

Answer:

1,3,5,15

Step-by-step explanation:

Answer:

Step-by-step explanation:

Factors of 15:

1 , 3 , 5 , 15

Determine if Ginny factored correctly. If not, explain
where she made an error.

Answers

Answer:

The answer is A

Step-by-step explanation:

Expand. Your answer should be a polynomial in standard form. (x-4)(x-6)

Answers

Answer:

x2+10x+24

Step-by-step explanation:

The expanded expression in standard form is: [tex]x^2 - 10x + 24[/tex]

To expand the expression (x - 4)(x - 6), you can use the distributive property to multiply each term in the first parentheses by each term in the second parentheses. Let's do that step by step:

(x - 4)(x - 6)

Step 1: Multiply x from the first parentheses by both terms in the second parentheses:

[tex]x * x = x^2\\x * -6 = -6x[/tex]

Step 2: Multiply -4 from the first parentheses by both terms in the second parentheses:

-4 * x = -4x

-4 * -6 = 24

Now, put everything together: (x - 4)(x - 6) = [tex]x^2 - 6x - 4x + 24[/tex]

Combine like terms: [tex]x^2 - 10x + 24[/tex]

So, the expanded expression in standard form is:

[tex]x^2 - 10x + 24[/tex]

To know more about standard form here

https://brainly.com/question/19169731

#SPJ2

solve the following
2(X+3)=X-4​

Answers

Answer:

2(x+3)=x-4

2x+6=x-4

2x-x=-4-6

x=-10

2(x+3)=x-4

2x+6=x-4

2x-x=-4-6

x=-10

vvvvvvv help me plzzzzzzzzzzzzzzz

Answers

Answer:

the answer is 0

Step-by-step explanation:

she had -27 in her bank the she added  27

Complete the point-slope equation of the line through (-9,6)(−9,6)left parenthesis, minus, 9, comma, 6, right parenthesis and (-7,-8)(−7,−8)?

Answers

Answer:

Step-by-step explanation:

hello : here is an solution

The equation of the line in point-slope form is y - 6 = -7(x+9)

The equation of a line in point-slope form is expressed as:

y-y0 = m(x-x0)

m is the slope of the line

(x0, y0) is any point on the line

Given the coordinate points (-9, 6) and (-7, -8)

Get the slope of the line:

slope = -8-6/-7+9

Slope = -14/2

Slope = -7

Using the point (-9, 6), the required slope is expressed as:

y - 6 = -7(x-(-9))

y - 6 = -7(x+9)

Hence the equation of the line in point-slope form is y - 6 = -7(x+9)

Learn more here: https://brainly.com/question/24642959

i need help i don't understand can someone help me plz :) ​

Answers

Review The Pythagorean theorem.


The answer is B. Why?

Now move points C, D, and E on the circle, and note the interior angle measurements for the quadrilateral in the table below. Notice that m∠B is predetermined, so set that angle measure first.

Answers

Answer:

Explanation:

Plato

Terry is buying juice. He needs 3 liters. A half-liter of juice costs $2.39. A 250 -milliliter container of juice cost $ 1.69. What should Terry buy so he gets 3 liters at the lowest price? Explain

Answers

terry should buy the half liters because 6 will be $14.34 and if he got the millimeters then it would cost him $20.28

Answer:

Terry should buy half a liter because if he buys 250 millimeters, he will need to pay $20.28, which is more than 14.34.

you are packing clothes for vacation and don’t want to take any button down shirts. You randomly choose three shirts from a jar containing three T-shirts, three polo shirts, and four button downs.

a) what is the probability that the first three shirts are button downs when you replace each shirt before choosing the next one?
b) what is the probability that the first three shirts are button downs when you do not replace each shirt before choosing the next one?

Answers

a) Because each pick is independent (we pick and then replace), we just have to find the probability of picking it out once, then cube that. This probability is 4/(3+3+4)=2/5. So, it is 8/125.

b) If we replace it, then we can do it in a strategic way:

The probability of picking it out the first time is 2/5. Now, there are 3 button downs and 9 shirts total.

The second time: 3/9=1/3

Now there are 2 and 8

Third time: 2/8=1/4.

The final probability is 2/5*1/3*1/4=1/30

Question 4 11 point)
Four hundred grocery store shoppers were surveyed to determine their favorite fruit. How many shoppers prefer bananas?
Favorite Fruit
Bananas Apples
32%
35%
Cherries
33%
Os 32

Answers

Answer:

128

Step-by-step explanation:

128 is the right

peanut butter

Mariska was comparing her options for investment. One choice she was looking at showed that her principal of $1,875 over 10 years would earn $1,125 in interest giving her a total of $3,000 at the end of the investment period. What interest rate is being used to calculate this investment?

Answers

Answer: 6%

Step-by-step explanation:

Principal= $1875

Time= 10 years

Interest= $1125

Rate = Unknown

Recall that,

Interest= (Principal×Rate×Time)/100

I = PRT/100

100I = PRT

R= (100×I)/PT

Rate = (100 × 1125)/(1875 × 10)

Rate = 112500/18750

Rate= 6%

The rate is 6%

pls pls pls pls pls pls pls pls pls pls help
an airplane takes off from an airport at 11 am. fifteen minutes later, its shadow is 360000 feet away from the take off point and its altitude is 24000 ft. what is the exact distance the plane traveled in 15 minutes

Answers

Answer:

what grade are you in so i can help

Step-by-step explanation:

What is the volume? Please answer asap.

Answers

Answer:

20

Step-by-step explanation:

log x + Log(x+5) = log 6

Answers

Answer:

logx+log(x +1)= log6

Step-by-step explanation:

Please find attached photograph for your answer.

A waitress serves $950. Worth of dinners and recieves &95.00 in tips how much less in tips did she receive if she had gotten her 15% of the cost of meals

Answers

Answer:

She receives $47.5 less

Step-by-step explanation:

Now, the first thing to do here is to calculate what 15% if the total amount is

That would be 15/100 * 950 = $142.5

The amount she receives less is thus $142.5 -$95 = $47.5

Answer:

The amount less that she received than if she had received 15% of the cost of the meal is $47.5

Step-by-step explanation:

Here we have the amount of dinners served by the waitress = $950

Amount received in tips = $95.00

Amount the waitress would have received if she had gotten 15% of the cost of meals served = 15/100 × $950 = $142.5

Therefore, since she received $95.00, the amount less that she received than if she had received 15% of the cost of the meal is thus;

$142.5 - $95 = $47.5.

1 1/7 times 3/5 plz answer now

Answers

Answer:

24/35 or 0.6857142

Step-by-step explanation:

Answer:

[tex] \frac{24}{35} [/tex]

alternative form:

[tex] 0.685714286 [/tex]

Step-by-step explanation:

[tex]1 \frac{1}{7} \times \frac{3}{5} \\ multiply \: 1 \: and \: 7 \\ \\ \frac{7 + 1}{7} \times ( \frac{3}{5} ) \\ add \: 7 \: to \: 1 \\ \\ \frac{8}{7} \times ( \frac{3}{5} ) \\ remove \: parenthesis \: and \: put \\numerator \: times \: numerator \: and \\ denominator \: times \: denominator \\ \\ \frac{8 \times 3}{7 \times 5} \\ do \: the \: multiplications \\ \\ \frac{24}{35} [/tex]

How do I Graph y=-2x+5

Answers

Answer:

Slope-Intercept Form y = mx + b

Y = 5

Slope = -2/1

Step-by-step explanation:

Slope-Intercept Form y = mx + b

m = Slope; Rise over Run; Remember there is always an understood 1 in the denominator. If the slope is positive it goes up and to the right and if the slope is negative it goes down and to the right.

b = Y-intercept; This is where the line crosses the y-axis at. If it's positive it's above the x-axis and if negative below.

The zero(s) of the function : f(x)=x² - 2x +3 are_____________ *

Answers

Answer:

x = 1 ± i√2

Step-by-step explanation:

hope i helped

How do I calculate this parent function of a linear function? The parent function of a linear function is y=x. When the parent function is changed to y=x+5, how does the graph transform?

Answers

Step-by-step explanation:

This only moves the linear function up 5 units. So, before the y-intercept and the x-intercept both was (0,0). Now, the y-intercept is (0,5) because the graph was shifted up 5 units.

hope this helps :)

Use a net to find the surface area of the prism 8 in 6 in 15 in

Answers

The area is 8*6*15=720 in^3

[2x + 3y = 1][5x - 4y = 14]

Answers

Answer:

x = 2

y = - 1

Step-by-step explanation:

Please see the step by step solution in the picture attached below.

Hope it can help you. Have a nice day!

1. Remember, evaluate means to plug in the value for the specified
variable.
w
Evaluate: (x - 3)2 + 2x - 4 for x = 5

Answers

Answer:

Value: 10

Step-by-step explanation:

1. Let us first write down the expression, changing it a bit to our convenience: 2(x - 3) + 2x - 4

2. Substitute this value of x into the expression as such:

2(5 - 3) + 2(5) - 4

3. Now we can approach this first part of the problem in two ways:

Option 1. distribute the 2 to the 5 and then the -3, in 2(5 - 3)

Option 2. subtract 3 from 5, then multiply 2 by that value

4. Given such, let us try the 2nd option for simplicity, and carry on with our calculations: 2(2) + 2(5) - 4

5. Now apply algebra and solve this expression:

2(2) + 2(5) - 4 = 4 + 10 - 4 = 14 - 4 = 10

Kia is saving money to buy a Six Flags ticket. She worked for 6 hours at the library and earns the same amount each hour. Her grandmother then gave her $20. In all,she has $53.

Answers

Answer:

She earns 5.5 dollars per hour at the library

Step-by-step explanation:

I am going to assume that the questions is "how much she earns per hour at the library?"

Let's call x the amount of dollars earn by hour at the library. We know that she worked for 6 hours, thus she made 6x dollars.

Later her grandma gave her 20 dollars and she has now 53 dollars.

Let's write the equation and solve it

Amount earned + Amount given by her grandma = 53

[tex]6x+20=53\\6x=33\\x=\frac{33}{6}\\x=5.5[/tex]

Thus, based on this information we would have that Kia earns 5.5 dollars per hour.

Find the surface area.

Any help will be appreciated thank you!

Answers

Answer:

580 cm^2

Step-by-step explanation:

H = Height

L = length

W = width

2(HL)+2(WH)+2(WL)

= 2(20*10)+2(3*20)+2(3*10)

= 2(200)+2(60)+2(30)

= 400+120+60

= 580

Meagan knits 1/10 of q scarf in 3/4 of annhour.What fraction of a scaf can megan knit in 1 hour

Answers

Answer:

2/15

Step-by-step explanation:

To solve this problem we just need to use a rule of three, relating the fraction of the scarf knitted and the amount of time.

So we have that:

1/10 of the scarf -> 3/4 hour

x of the scarf -> 1 hour

x * (3/4) = 1/10

x = (1/10) / (3/4)

x = (1/10) * (4/3)

x = 4/30 = 2/15

In one hour, Meagan knit 2/15 of the scarf.

A company has been forced to reduce its number of employees. Today the company has 29% fewer employees than it did a year ago. If there are currently 142 employees, how many employees did the company have a year ago?

Answers

250 is not the answer

Step-by-step explanation:

Idk

Which statement about the parabola is not true?A. The focus lies on the axis of symmetry.B.The directrix of the parabola is parallel to the axis of symmetry.C. Each point on the parabola is equidistant from the directrix and the focus

Answers

Answer:

Option B

The directrix of the parabola is parallel to the axis of symmetry

Step-by-step explanation:

The directrix of the parabola is not parallel to the axis of symmetry. It is as a matter of fact, perpendicular to it.

A parabola is actually a set of points that are equidistant from a given point, the focus, and a given line the directrix.

The axis of symmetry is a line that divides the parabola into two equal halves and it always passes through the focus.

The directrix of the parabola is always perpendicular to this axis of symmetry as they always intersect at right angles.

We want to see which one of the given statements is false. We will see that the false one is B: "The directrix of the parabola is parallel to the axis of symmetry"

So in a parabola, we define the axis of symmetry as the vertical line that divides the parabola in two equal parts.

For a general parabola:

y = a*x^2 + b*x + c

The line of symmetry is at:

x = -b/2a

While we know that in a parabola the directrix is a horizontal line.

So the axis of symmetry and the directrix are perpendicular lines.

Then the statement that is false is B: "The directrix of the parabola is parallel to the axis of symmetry"

If you want to learn more, you can read:

https://brainly.com/question/3283347

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