Find the sum: -1 + 4 + 9 + ... + 64

Answers

Answer 1

Answer:

= 78

Step-by-step explanation:

Step One:

1 + 4= 5

Step Two:

5+9= 14

Step Three:

14+64= 78

= 78

Hope it helps :)

Answer 2

Answer: 441

Step-by-step explanation:

The formula for an arithmetic sum is

[tex]$\frac{\text{number of terms}}2 \cdot (\text{first term + last term})$[/tex]

We know that the [tex]\text{first term + last term} = -1 + 64 = 63[/tex]. So now all we need is the [tex]\text{number of terms}[/tex]. Well, if you draw each number onto the number line, you get something like

---|------|------|------|------|------|-----|------|-----|------|-----|------|-------|----------

 -1      0      1      2      3     4     5     6     7     8     9     10     11  ...

You can see that your numbers are spaced 5 apart, and they go from -1 all the way up to 64. So what you're really asking is, "how many segments of five can I draw from -1 up to 64?" The length of the line from -1 to 64 is 65 (think about it), so the number of line segments is 65/5 = 13. However, we didn't count 64 itself, since there's no line segment past it! So really there are 14 terms in this sequence. Thus the total sum is

[tex]$\frac {14}2 \cdot (63) = \boxed{441}.$[/tex]


Related Questions

Please helppppppppppppp

Answers

equilateral triangle

Hello! I need help with this

Answers

Answer:

y = -16.25

Step-by-step explanation:

[tex]26=-\frac{8}{5}y[/tex]

It can also be written as

[tex]26=\frac{-8y}{5}[/tex]

-8y = 26 * 5

-8y = 130

y = 130/-8 = - 65/4 = -16.25

Danny deposited $500 into a savings account that earns 2% interest annually. How much

money will he have after 25 years?

Answers

Answer:

250

Step-by-step explanation:

1 year= 2% of 500 (10)

25 years= 25*10

250

Hope this helps!

Jenny has three times as many new toys as she has favorite toys.

Answers

answer:

3x = y

step-by-step explanation:

૪・ i am inferring you have to create an equation?

・jenny have three times = 3x

・as her fav toys — 3x = y

・new toys = y

・fav toys = x

Someone please help me. I will give Brainliest. No links, please.

Answers

Answer:

SAS - If a two sides and the angle between them are congruent to another two sides and the angle between them, the triangles are congruent

two sets of congruent sides, a set of congruent angles between the sides

ASA - If two angles and the side between them are congruent to another two angles and the side between them, the triangles are congruent

two sets of congruent angles, a set of congruent sides between the angles

AAS - If two angles and a side next to them are congruent to another two angles and the side next to them, the triangles are congruent

two sets of congruent corresponding angles, a pair of congruent sides next to the angles

HL - If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and leg of another right triangle, the two triangles are congruent, and the other leg of the two right triangles are congruent.

two congruent hypotenuses and two congruent legs  of a right triangle

Step-by-step explanation:

Helpppppppppppppppppppp

Answers

Answer:

x = -5

Step-by-step explanation:

f(x) = [tex]\frac{x+5}{4}[/tex]

Okay, so in order to find the zeroes of the equation, we need to find the values of x for which f(x) = 0.

[tex]\frac{x+5}{4}[/tex] = 0

We can start by multiplying both sides by 4.  Anything multiplied by 0 equals 0, so we have the following:

x + 5 = 0

Now, subtracting 5 from both sides in order to isolate x, we have:

x = -5

To check our work, let's substitute -5 into our equation:

f(-5) = [tex]\frac{-5+5}{4}[/tex] = [tex]\frac{0}{4}[/tex]

0 divided by anything equals 0, so f(-5) = 0.

Solve for y.

62=y−58.8

Enter your answer in the box.

y =

Answers

Answer:

120.8

Step-by-step explanation:

The value of y from the given equation is 120.8.

The given equation is 62=y-58.8.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved as follows

Add 58.8 on both the sides of an equation, that is

62+58.8=y-58.8+58.8

⇒ y=120.8

Hence, the value of y from the given equation is 120.8.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ3

Help please.

A canine's body temperature is considered to be normal if it is 101 degrees Fahrenheit with an absolute deviation of 1.5 degrees Fahrenheit.
A. write an absolute value inequality that represents the normal temperature range. B.solve the inequality. what is the normal temperature range?

Answers

Answer: 101°F

Step-by-step explanation: A canine's body temperature is considered to be normal if it is 101°F with an absolute deviation of 1.5°F. a) Write an absolute value inequality

Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2 Find H(x+a) - H(x)/a

Answers

Answer:

Step-by-step explanation:

The stumbling block for most people is what exactly do you do the what's in the brackets of something like g(x+ 4) = 2x

The answer is, whatever you see on the left side where g(x) gets modified, you put on the right side wherever you see an x.

In this question

H( x) = x ^2

So if you see anything besides x on the left, then that's what goes on the right for x.

H(x + a) - H(x)/a = (x + a)^2 - (x^2)/a

You can expand this, but I don't see a reason for doing it.

H(x + a) - H(x)/a = (x + a)^2 - (x ^2)/a = x^2 + 2a + a^2 - x^2/a which gets you nowhere.

What is the value of x? Enter your answer in the box. x =

Answers

Answer:

32

Step-by-step explanation:

The shape in image is an equilateral triangle which means all of it's angles has equal measurements:

2x - 4 = 5y and that is equal to 60 degrees

2x - 4 = 60 add 4 to both sides

2x = 64 divide both sides by 2

x = 32

5x-3y=30
7x-3y=36
elimantion method

Answers

Answer:

x = 3 and y = -5

Step-by-step explanation:

[tex]5x - 3y = 30 \\ 7x - 3y = 36 \\ \\ - 1(5x - 3y = 30) \\ 7x - 3y = 3 \\ \\ - 5x + 3y = - 30 \\ 7x - 3y = 36 \\ 2x = 6 \\ x = 3 \\ \\ 5(3) - 3y = 30 \\ 15 - 3y = 30 \\ - 3y = 30 - 15 \\ - 3y = 15 \\ \frac{ - 3y}{ - 3} = \frac{15}{ - 3} \\ y = - 5[/tex]

A fish swims 6 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −42 feet. What is the position of the scuba diver relative to the surface of the ocean? Choose from the drop-down menu to correctly complete the statement.

Answers

Answer:

The scuba diver is 27 feet below sea level.

-

Hope this will assist you.

The position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.

Since a fish swims 6 feet directly above a scuba diver, and the fish suddenly dives to double its depth under the surface of the ocean, and the fish dives to a depth of −42 feet, to determine what is the position of the scuba diver relative to the surface of the ocean, the following calculation must be performed:

42/2 + 6 = X 21 + 6 = X 27 = X

Therefore, the position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.

Learn more in https://brainly.com/question/14746652

please help. file is uploaded.

Answers

Answer:

9 + 4 = $13, Ms. Brown has 10 dollars which is not enough to pay for both Cranberry and Granola.

Step-by-step explanation:

Alright, so Cranberry is 3.25 per pound, and Granola is 2.19 per pound.

(2.9 and 1.75 is how many pounds of both Cranberry and Granola she wants.)

2.9 × 3.25 = 9.4

1.75 × 2.19 = 3.8

So when rounding,  9.4 would be rounded to 9. Then 3.8 would be rounded to 4. So no, Ms. Brown doesn't have enough to pay for both. 9 + 4 = $13

Have a good day friend! :D

Answer:

Let us use the variable "x" to represent the cost per Ib for each mix.

Cranberry: x = 2.9

Granola: x = 1.75

Ms.Brown buys 1.75 pounds of granola and 2.9 pounds of cranberry. Since the cost per pounds represent x, we can write the follow:

[tex]2.19(1.75)+3.25(2.9)[/tex]

[tex]3.83 + 9.42 = 13. 25[/tex]

Round to nearest cent,

Total Cost= $13

Since it is given that Ms.Brown has a $10 budget, she won't have enough for the purchase. She'll need $3 more.

I run 960 hm and my friend run 960 dam. How many km do we run in total?

Answers

Answer:

105.6 km

Step-by-step explanation:

Use: King Henery Doesn't Usually drink chocolate milk

K in king stands for kelo

H in Henery stands for hecto

D in Doesn't stands for deka

U in Usually stands for Meters, Liters, and Grams

d in drink stands for Deci

c in chocolate stands for Centi

And m in milk stands for milli

Find the value for each variable.

Answers

the value of variable x is 55 answer ok . angle q is 35 p is 90

M and P = 90
N and Q = 35
R= 55

Class A was given a sunflower with a height of 8 centimeters that grows at a rate of 3 1/2 centimeters per week. Class B was given a sunflower with a height of 10 centimeters that grows at a rate of 3 1/4 centimeters per week. After how many weeks are the sunflowers the same height?

Answers

Answer:

8 weeks

Step-by-step explanation:

Since we know that the sunflower in Class B has a rate of 1/4 less, we know that it will eventually catch on to sunflower A.

First, we have to look at the difference which is 2. How many 1/4ths makes 2?

8.

Therefore, 8 weeks would be your answer.

-kiniwih426

x÷12;x=2/3 Help ASAP please.

Answers

Answer:

I think this is it 2/36=1/18

Step-by-step explanation:

if x = 2/3 then you will multiply by the reciprocal of 12 which is 1/12.

2/3x1/12= 2/36

simplified 1/18

Answer: 1/18 or 0.555555 continuous in decimal form
X=2/3, so plug in the X into x/12. Rewrite as (2/3)/12=1/18

Hopefully, this helps

Alan and Pedro eat today at the same Taqueria, but Alan attends every 20 days and Pedro every 38 when will they meet again?

Answers

Answer:

380 days

Step-by-step explanation:

38 × 1 = 38 38 × 6 = 228    

38 × 2 = 76 38 × 7 = 266

38 × 3 = 114 38 × 8 = 304

38 × 4 = 152 38 × 9 = 342

38 × 5 = 190 38 × 10 = 380

20 × 1 = 20 20 × 6 = 120

20 × 2 = 40 20 × 7 = 140

20 × 3 = 60 20 × 8 = 160

20 × 4 = 80 20 × 9 = 180

20 × 5 = 100 20 × 10 = 200

20 x 10 = 200  20 x 20 = 400

so 20 x 19 = 380

First common number in both times table is 380

What is the slope of this line?

•5
•1/5
•-5
•-1/5

quick please

Answers

The slope of this line is -1/5

round 6,311 to the nearest thousand ​

Answers

Answer:

6,000

Step-by-step explanation:

how do i do this? geometry

Answers

Answer:

80?

Step-by-step explanation:

the total amount of degrees  in a hexagon is 720. Divide that by 6 and you get 120. Each corner is 120. It doesnt have a right angle measure on it so it has to be lowerer then 90.

The points (0, 0) and (5, 10) lie in the graph of this linear function. Which equation represents the same linear function? A. B. x = 5 C. D. y = 2x

Answers

Answer:   y = 2x, D.

Step-by-step explanation:  We can calculate the slope of the line between these two points:  Rise/Run:

Rise: (10-0)=10

Run:  (5-0) = 5

Rise/Run = 10/5 = 2

The y-intercept is zero (it is the value of y when x=0, which we are given as (0,0)).

The line between these two points is thus y=2x+0, or

y = 2x.  Looks like D.

Answer:

D. y=2x

Step-by-step explanation:

0x2=0 and 5x2=10. That's really it, simple math

x2-4x+6=0

Someone help with solve this

Answers

Answer:

0 is the answer..(•‿•)(. (•‿•)(•‿•)(•‿•)

16. The measures of the acute angles of a right triangle have a ratio of 2 :7.
What is the measure of the smaller angle?

Answers

Answer:

The smaller angle is 20 degrees.

Step-by-step explanation:

A triangle's interior angles must have a sum of 180 degrees. Hence the two acute angles must have a sum of 180-90=90 degrees.

Say that the angles have 2x and 7x length:

2x+7x=90

9x=90

x=10

Hence the acute angles have degrees 2*10=20, 7*10=70.

The smaller angle is 20 degrees.

Hope this was helpful!

Please arrange these numbers in descending order for me
7.23, 7.32, 7.3, 73

Answers

Answer:

73

7.32

7.23

7.3

hope this helps☆☆

After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.


What do you need to do to the equations so you can put them into the Graph tool? Put the equations into the Graph tool. To create the graph, select the correct relationship and then enter the values for the variables. Paste a screenshot of your graph in the space provided. Do you get the same solution as when you solved it algebraically?

Answers

150 because he bought them alot of yes 150 becaus mathamatics

Answer:

150 because he bought them

Step-by-step explanation:

A rectangular field is four times as long as it is wide. If the perimeter of the field is 410 yards, what are the​ field's dimensions?

Answers

The length of the rectangular field is 164 yards and the width is 41 yards

From the question,

We are to determine the fields dimensions

From the given information

A rectangular field is four times as long as it is wide

That is

l = 4w -------- (1)

The perimeter of a rectangle is given by

P = 2(l + w)

Where

P is the perimeter

l is the length

and w is the width

From the given information

The perimeter of the field is 410 yards

∴ 2(l + w) = 410 ------ (2)

Substitute equation (1) into equation (2)

2(4w + w) = 410

2(5w) = 410

10w = 410

∴  w = 410 ÷ 10

w = 41 yards

Substitute the value of w into equation (1)

l = 4(41)

l = 164 yards

Hence, the length of the rectangular field is 164 yards and the width is 41 yards.

Learn more here:  https://brainly.com/question/4958695

help please i only have 10 mins left

a. parallel
b. perpendicular
c. neither

Answers

Answer:

they are perpendicular

Step-by-step explanation:

It’s B


Good luckkkkkkkkkkkkkk

Someone please help me with this cuz I didn't attend the class and didn't hear the teacher explain.​

Answers

Answer:

-2x^2-2x-2

Step-by-step explanation:

C) -2x(x+2)-(3-2x)(x+2)

-2x^2-3x+2x-x-2

-2x^2-2x-2

Answer:

−3x−6

Step-by-step explanation:

-2x(x+2)-(3-2x)(x+2)

= -2[tex]x^{2}[/tex]-4x-3(x+2)+2x(x+2)

= -2[tex]x^{2}[/tex]-4x-3x-6+2[tex]x^{2}[/tex]+4x

= -3x-6

Hopefully this helps!!

In the number 78.018, how does the value of the 8 in the thousandths place compare to the value of the 8 in the ones place?

Drag and drop a fraction into the box to correctly complete the statement.

The value of the 8 in the thousandths place is Response area the value of the 8 in the ones place.




Answers

The value of the .008 is 1/1000 the value of 8

Each digit the decimal place moves can be thought of as multiplying or dividing the original value by 10 (depending on which way it is moved)

Answer:

1/1000

Step-by-step explanation:

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