10 .find the partial sum S10 of the arithmetic series with a1 = 4, d = 5.

Answers

Answer 1

Answer:

S10 = 320

Step-by-step explanation:

The formula for calculating the sum of the nth term of an AP is expressed as

Sn = n/2(2a+(n-1)d))

Given

a = 4

d = 5

n = 10

S10 =10/2{2(5)+(10-1)5}

S10 =5{10+9(6)}

S10 =5{10+54}

S10 = 5(64)

S10 = 320

Hence the sum of the first ten terms of the sequence is 320


Related Questions

What is Point-Slope Form? What is Slope Intercept Form? What is the Slope Formula?

i included pictures please help it closes in 30 minutes pls give exact answers

Answers

Answer:

For the first part

1.) Negative

2.)zero

3.) undefined

4.) positive

The point slope formula is y-y1=m(x-x1). It is best to use if you already know the slope and one other point on the line. It is used to find another point on the line.

The slope-intercept form is used to show a line. To use this form, you need to know the slope and the y-intercept.

The slope formula is y=mx+b. M is the slope while b is the y-intercept.

A shipment of 12 microwave ovens contains 2 defective units. A restaurant buys 4 of these units. What is the probability of the restaurant buying at least 3 nondefective​ units? The probability of the restaurant buying at least 3 nondefective units is

Answers

Answer:

91%

Step-by-step explanation:

we can use combinations:

Total probabilities = 12! / (4!8!) = 479,001,600 / 967,680 = 495

Probability of no defective unit = ₁₀C₄ = 10!/4!6! = 3,628,800 / 17,280 = 210

Probability of one defective unit = ₁₀C₃ · ₂C₁ = 10!/3!7! · 2!/1! = 120 · 2 = 240

Probability of no more than one defective unit = (210 + 240) / 495 = 450 / 495 = 91%

What is the sum of the first 10 terms of the sequence:
10,5, 0, -5, -10...
A. 100
B. -125

Answers

Answer:

-125

Step-by-step explanation:

The answer is B . -125

Which is the same as dividing a number by 10?
A, Move the decimal one place to the left.
B, Move the decimal one place to the right.
C, Move the decimal two places to the left.
D, Move the decimal two places to the right.

Answers

Answer:

A is the answer

Step-by-step explanation:

Anytime a number is being divided by 10 it moves to the left creating a decimal.Example : 5÷10 = 0.5 , 500÷10 = 50

Anytime a number is being multiplied by 10 the number increases with a 0. Example : 5 × 10 =50

I hope this helped

Answer:

A

Step-by-step explanation:

When it comes to division, we usually move to the left, but multiplication is to the right. Then it is division by 10, which has only one zero, so we move once to the left.

The sum of 4 thirteens and 16 thirteens, need answer ASAP :(

Answers

Answer:

260?

Step-by-step explanation:

I used the equation (4)13+(16)13 and plugged it into my calculator and got 260.

The sum of 4 thirteens and 16 thirteens is 260.

What is the meaning of sum?

You add up all the numbers to arrive at the sum. When you summarise something, you pay attention to all of its crucial components. A specific sum of money can also be referred to using the word sum. You might have to spend a sizable sum of money on a new car. However, you might be able to justify spending so much if you add up or total all of its advantages. When you add up the costs of everything you ordered, the total on a restaurant bill is determined. Sum need not be restricted to numbers. When you summarise something, you're providing a summary or overarching statement about it.

Here, 4 thirteens = 4 × 13 = 52

16 thirteens = 16 × 13 = 208

Sum of 4 thirteens and 16 thirteens = 52 + 208 = 260

Hence, 260 is the correct answer.

Learn more about sum from the link.

https://brainly.com/question/24205483

#SPJ2

What is 3,350,000 in scientific notation?

Answers

Answer:

10^4 or 3.5

Step-by-step explanation:

What is the equation of the parabola with
vertex (4, -2) and y-intercept 6?

Answers

Answer:

Step-by-step explanation:

N sei

Nov 27, 8:06:26 PM
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to
the nearest tenths place.
14
10
Answer:
Submit Answer

Answers

Answer:

The area of given figure is: 179.3

Step-by-step explanation:

The figure consists of a rectangle and a semi-circle

The length of rectangle is 14 and width is 10.

The width of rectangle is also the diameter of the semi-circle.

So,

d = 10

[tex]r = \frac{d}{2} = \frac{10}{2} = 5[/tex]

Area of Semi-Circle:

[tex]C =\frac{ \pi r^2}{2}\\= \frac{3.14 * (5)^2}{2}\\=\frac{3.14*25}{2}\\=\frac{78.5}{2}\\= 39.25[/tex]

Area of Rectangle:

[tex]R = Length * Width\\R = 10*14\\R = 140[/tex]

The total area will be the sum of area of rectangle and the area of semi-circle

So,

[tex]Total\ Area = C + R\\= 39.25 + 140\\=179.25[/tex]

Rounding off to nearest tenth

The total area is: 179.3

In a diagram of a landscape plan, the scale is 1 cm = 10 ft. In the
diagram, the trees are 4.2 cm apart. How far apart should the actual trees
be planted?

Answers

Answer:

42 ft

Step-by-step explanation:

4.2/1=4.2

4.2*10=42 ft

PLS GIVE BRAINLIEST

Answer:

42

Step-by-step explanation:

1 cm=10ft on the diagram

so the only thing we have to do is multiply.

4.2x10=42 make sure your answer is in FT not CM

so for example

42ft. Units are important XD

what is the difference between (4,4) and (1,-3)

Answers

Answer:

7/3

Step-by-step explanation:

If I solved it correctly, you use  y2-y1 / x2-x1. From here you get -3-4/1-4=-7/-3 which when you divide equals 7/3. LMK IF its wrong and ill figure it out champ!

a) Show that x² - 8x + 20 can be written in the form (x - a)² + a where a is an integer.
b) Hence explain how you know that x² - 8x + 20 is always positive.

I have worked out the first bit of the question and the answer is:
x²-8x+20
x²-8x+16-16+20
(x-4)²+4
(x-a)²+a
a= 4

I just need help with part b and I'm struggling to do it. Please help.

Answers

b) x^2 - 8x + 20 is always positive because in part a, you figured out that it could also be written as (x-4)^2 + 4.
You know that (x-4)^2 is greater than or equal to 0 so by adding 4, the result will always be positive.

Answer:

Step-by-step explanation:

b) x^2 - 8x + 20 is always positive because in part a, you figured out that it could also be written as (x-4)^2 + 4.

You know that (x-4)^2 is greater than or equal to 0 so by adding 4, the result will always be positive

y+x2÷2 when x=4 and y=−3.

Answers

Answer:

The answer is 1.

Step-by-step explanation:

Plug in the values to make the equation -3+4*2/2

According to the order of operations, you should multiply what you can first.

so 4*2 = 8

Then 8 divided by 2 = 8/2=4

Then -3+4=1

Answer:

5

Step-by-step explanation:

y + x²÷2 when x=4 and y=-3

-3 + 4² ÷ 2

-3 + 16 ÷ 2

-3 + 8

5

I hoped this helped :)

what expression gives the solution to -5+2x^2=-6x

Answers

Answer:

Step-by-step explanation:

2x² + 6x - 5 = 0

D = 36 + 40 = 76 = (2√19)²

[tex]x_{1}[/tex] = ( - 6 - 2√19) / 4 = ( - 3 - √19) / 2

[tex]x_{2}[/tex] = ( - 3 + √19) / 2

In the equilateral triangle below, x =
and the length of each side is
units.
3x + 6
9x – 12
6x - 3

Answers

Step-by-step explanation:

3x+6+9x-12+6x-3=180

15x-9=180

x-9=12

x=21

A store buys lawnmowers from the manufacturer and marks

up the price by 40% to arrive at a retail price. Fill in the

blank: The wholesale price is times the retail price.

Answers

Answer:

0.7142857

Step-by-step explanation:

Let wholesale price = x

Retail price = 40% Markup of wholesale price

Retail price = (100 + 40)% of x

Retail price = 140% of x

Retail price = 140/100 * x

Retail price = 1.4x

Hence,

Wholesale price / retail price

x / 1.4x

= 0.7142857

Hence, wholesale price is 0.7142857 of the retailer price

5.) According to the Bureau of Labor Statistics, in 2012, 33% of

all American computer systems analysts were women. 145,000

women were doing this job. How many men were doing the same

job?

a. 47,850

b. 439,394

c. 294,394

d. 584,394


PSA this is due the 12th so please help me

Answers

The answer is C. 294,394

Rosa purchaded a sofa that was on sale for 20% off. The sofa cost $ 1850. How much does the Sofa cost?​

Answers

1850 + .2x = x
1850 = .8x
2312.50 = x

Answer:

Step-by-step explanation:

370

7. In the drawing below, identify the following. (This is NOT multiple choice!)
A) Alternate Interior Angles
B) Alternate Exterior Angles
C) Consecutive Interior Angles
D) Corresponding Angles

Answers

I think answer should be d. Please give me brainlest I hope this helps let me know if it’s correct or not okay thanks

help find the missing lengths round to nearest tenth

Answers

Answer:

x = 20.8y = 22.3

Step-by-step explanation:

Theta is 21 degreesx is the adjacent side8 is the opposite sidey is the hypothenuse

SOH - CAH - TOA

Since the opposite side is given and we need to find the length of the adjacent side, we can use tangent to solve for x.

[tex]tan 21=\frac{opposite}{adjacent} \\tan 21 =\frac{8}{x} \\0.384 =\frac{8}{x} \\0.384x =8 \\x=\frac{8}{0.384} \\x=20.84[/tex]

Since the opposite side is given and we need to find the length of the hypotenuse, we can use sine to solve for y.

[tex]sin 21=\frac{opposite}{hypotenuse} \\sin21 =\frac{8}{y} \\0.358 =\frac{8}{y} \\0.358y=8 \\y=\frac{8}{0.358} \\y=22.32[/tex]

(WHO EVER HELPS ME GETS BRAINLIEST AND EXTRA POINTSSSSS :D )

Answers

Answer:d

D. 9 and 46/180

Step-by-step explanation:

Answer:

Ok thank you for your efforts

Step-by-step explanation:

The answer is D 9 46/180

Find log1/4 rounded to the nearest hundredth.

Answers

Answer:

-log_4

Step-by-step explanation:

The value of log1/4 rounded to the nearest hundredth is -0.60

Given the parameter which is needed for our Calculation:

log1/4

Using a calculator, the value of log1/4 is -0.602059

Rounding to the nearest hundredth, is two digits after the decimal point.

Hence, we have ;

-0.60 (since the value after 0 is less than 5)

Therefore, log1/4 is -0.60

Learn more on logarithm :https://brainly.com/question/30226560

#SPJ2

Describe the relationship between angles f, b, and a in the diagram.
PLEASE HELP ME IM GIVING 30 POINTS !!

Answers

The exterior angle of a triangle is equal to the sum of the two interior opposite angles, so : f° = a° + b° .

A triangle is a polygon which has 3 sides. The triangles can be divided into 3 types based on the value of the angles: Equilateral, isosceles ,scalene and right angled.

One of the internal angles of a right triangle (also known as a right-angled triangle) measures 90 degrees (a right angle). The hypotenuse, the triangle's longest side, is the side that faces the right angle. The triangle's other two sides are referred to as its legs. Right triangles adhere to the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.

We know when we add all the angles of any given triangle it is 180°

∴ a° + b° + c° = 180°

or, a° + b° = 180° - c°

Now we know that a linear pair the sum of the angles is 180°.

∴c° + f° = 180°

or, f° = 180° - c°

So from the above two equations we can say that

f° = a° + b°

Therefore in the triangle the exterior angle of the triangle is equal to the sum of the two interior opposite angles.

To learn more about triangle visit:

https://brainly.com/question/27682397

#SPJ1

a proportional relationship is represented on a graph with a line that has a slope of 40 what is the unit rate

Answers

Answer:40

Step-by-step explanation:

A building is 1ft from an 11 ft fence that surrounds the property. A worker wants to wash a window in the building 14ft from the ground. He plans to place a ladder over the fence so it rests against the building. He decided he should place the ladder 11ft from the fence for stability. To the nearest tenth of a foot, how long a ladder will he need?

Answers

Answer:

L = 18,4 ft

Step-by-step explanation:

The building, the ground, and the ladder make up a right triangle, with legs:

The distance (a) between the bottom of the ladder and the building 12 ft

The distance (b) between the gound and the window 14 ft up

The hypothenuse is the length of the ladder (L)

According to Pythagoras theorem

L²  = a²  + b²

L  = √  (12)²  +  (14)²

L = √ 144 + 196

L = √ 340

L = 18,4 ft

find the output when x = 6

Answers

Answer:

5

Step-by-step explanation:

the points is also given on graph

(6,5)

Pretty sure it’s 5.

There are 25 questions in a quiz, what is the minimum score you can get

Answers

Answer:

7/25

Step-by-step explanation:

From randomly guessing, it depends on how many you think you got right and how many you really don't know. You could get all 25 wrong, but more likely at random get 7 right.

Answer:

The minimum score you can get is 0.

Step-by-step explanation:

Solve for the value of c.​

Answers

Answer:

c = 11

Step-by-step explanation:

2c+8+6c-6 = 90 ( the angle measure of the two angles)

8c+2 = 90

8c = 88

c = 11


Find the rate of change

Answers

Answer:

The rate of change of function is: 2

Step-by-step explanation:

Using the given table we have to exclude two pairs of input and output.

The rate of change or slope of function is given as:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

We take first two pairs of input/output from the table

(x1,y1) = (1,11)

(x2,y2) = (2,13)

Putting the values

[tex]m = \frac{13-11}{2-1}\\m =\frac{2}{1}\\m = 2[/tex]

Hence,

The rate of change of function is: 2

Write the slope- intercept form of the equation of the line described through (4,5) parallel to y= 1/4x-4

Answers

Answer:

y = 1/4 x + 4

Step-by-step explanation:

1. Because the new equation is parallel to y= 1/4x - 4 => the slope is still the same => New equation : y = 1/4x + b ( b is a number that we'll find now)

2. Put x = 4 and y = 5 in the new equation

=> 5 = (1/4)(4) + b

=> b = 4

3. So then we'll have the new equation that is parallel to y = 1/4x-4

Find the segment length indicated. Assume the lines which appear to be
tangent are tangent. The center is marked.
6.6
6.6
O 16.9
O 8.9
O 10.2
O 11.2

Answers

16.9 mark me brainliest
Other Questions
In leopards, being shy (S) is dominant to being sassy (s), and being timely (T) is dominant to being tardy (t).A female leopard that is heterozygous for both the S and I trait mates with a male leopard that is alsoheterozygous for both traits. Both the S and I traits assort independently from one another.What is the probability that they will have an offspring that is sassy and timely? What is the perimeter of a quadrilateral with measurements of 19 ft, 10 ft, 17 ft, and 8 ft?Group of answer choices 8. Why was de Sotos expedition considered a failure?a. De Soto died before the expedition was finished.b. De Soto traveled in the wrong direction.c. De Soto did not find any gold or riches.d. De Sotos men died of disease9. How did de Sotos march through Georgia change the lives and culture of Native Americans?a. The expedition resulted in the death of thousands of Native Americans from violence and disease.b. The expedition was responsible for converting Native Americans to Catholicism.c. The expedition set up new trading opportunities for Native Americans.d. The expedition introduced Native Americans to new types of food.10. Hernando de Soto began his travels near present-day a. Atlanta, Georgiab. Memphis, Tennesseec. Tampa, Floridad. Vicksburg, Mississippi11. Hernando de Soto crossed the Mississippi River for the first time near present-daya. Little Rock, Arkansasb. Memphis, Tennesseec. Natchez, Mississippid. Vicksburg, Mississippi12. After Hernando de Sotos death, where did his men go?a. Alabamab. Arkansasc. Mississippid. TexasHELP MEHHH PLZZZZZZ plz help GET LOTS OF POINTS!!!!!!The trend line passes through points (2,5) and (6,11). What is the slope of the trend line?What is the y-intercept of the trend line?Y=___X +___ You want to create a map that shows all of the rivers and mountains in your state. What type of map should you create?politicalPHYSICAL---- IS THE ANSWERchoroplethspecial purpose Need help with this assessment asap. Look at picture and Brainliest Answer. 2.The change, in yards, in a football team's position on the field for each of their last four plays isshown below.-4, 7, -7,0Which list correctly compares the changes, in yards, in the football team's position on the field?A. -7 HELP ME ASAP!!Write a rule for the nth term of the geometric sequence using the given information: a1= 5 and r=2 Canadian province that identifies with French culture while the rest of Canada identifies with English cultureQuestion 10 options:QuebecPrince Edward IslandTorontoBritish Colombia find the length of an arc of 40 in a circle with an 8 inch radius 25 yd22 ydThe height is approximatelyyards. (Round to the nearest tenth.) Because most nerve cells do not typically undergo mitosis, they are generally not capable of which of the following A motorcyclist sees a branch in the road and hits the brakes, slowing down at -6.42 m/s. if it takes him 2.85 seconds to stop, what was his starting velocity? HELP ME PLS!!!!!!!!!!!!!!!!!!!! What four events that contributed to the causes of the American Revolution. The ancient Egyptians civilization is known for: If a speaker _____ something, the speaker is likely signaling that the information is a main point. forgets repeats laughs at says What was the eventual outcome for Isabelle, a child who lived in almost total isolation for the first six-and-a-half years of her life, in the 1930s? + 19=20+24A 11 B 13C 15 D 25 Answer gets the crownWhat does an algorithm have to do with processing? Algorithms are a series of stepsAlgorithms have nothing to do with processingAlgorithms are the steps that would be converted into a program that a computer could use to process information, changing it from input to an output.Algorithms are the steps that would be converted into a program that a computer could use to process information, changing it from output to input.