A grocer stacks oranges in a four-sided pyramid that is 7 layers high, how many oranges are in a pile? The explicit formula for a pyramid

Answers

Answer 1

Answer:

140 oranges

Step-by-step explanation:

From the Question, we know that the pyramid has 7 layers

The number of oranges in the first layer is = 1

Hence, the number of oranges in a pile is calculated as:

1² + 2² + 3² + 4² + 5² + 6² + 7²

= 1 + 4 + 9 + 16 + 25 + 36 + 49

= 140 oranges

Answer 2

Answer:

140

Step-by-step explanation::)


Related Questions

I need help thank you

Answers

Answer:

x is greater than or equal to 8.75 or 8 3/4

Step-by-step explanation:

So we first write the inequality 3 + 1.2c "is greater than or equal to sign" 13.5. Then we subtract 3, then divide both sides by 1.2 to isolate c. We get x "is greater than or equal to" 8.75.

In Siberia, a record high temperature of 98 F has been reported. The record low temperature is 192 degrees lower than the record high temperature. What was the coldest Siberia temperature?

Answers

Answer:

Lo: - 94o F

Step-by-step explanation:

Hi: 98oF

Difference: 192 degrees lower

Low: ?

Formula

98 - 192 = -94

That seems incredibly cold. I've lived through a day that was - 60oF and that was enough. (about - 51o C)

If you think in Celcius

The formula is

C =   5/9(F - 32)

C =  5/9 (-94 - 32)

C = 5/9 (-126)

C = -60

I think Siberia must be much colder than -60.

16 children together weigh 480 kg 960 g . If weight of all the children are equal, find the weight of each child.

Answers

Answer:

30.06 kg

Step-by-step explanation:

480kg  960g = 480969g.

480960 / 16 = 3060g

30060g

30060g = 30.06kg.

What are the domain and range of the function? F(x)=-3/5x^3

Answers

Answer:

A) Domain: All real numbers, excluding zero        (-∞, 0) ∪ (0, ∞)

Range: All real numbers, excluding zero      (-∞, 0) ∪ (0, ∞)

Step-by-step explanation:

find the mean of given data 32,41,28,54,35,26,23,33,38,40.​

Answers

Answer:

350/ 10 = 35

Step-by-step explanation:

hope it helps!

........

Answer:

mean= 32+41+28+54+35+26+23+33+38+40/10

mean=350/10

mean= 35

The equation 4 = p(l+r) can be used to calculate compound interest on a savings account. A = future balance
p= current balance, r= rate of interest, and t= time in years. If you deposit $2,000 at 10% each year, how much
money will be in your account in 10 years? (Round to the nearest dollar.)
A 2200
B. 4000
C. 4318
D. 5,187

Answers

I thin it’s c too pls

HELP ASAP
1. A group of numbers, variables, and/or operation symbols that represent a mathematical relationship. is called?

2. A known number, a variable, or the product of a known number and a variable; separated by plus (+) and minus (-) symbols. is called?

Answers

Answer:

1. polynomial

2. equation

I hope it will be useful.

The local candle store marks up the price of its candles by 75% before selling them. If the store paid
the distributor $6.99 per candle, how much will a candle cost in the store?

Answers

Answer:

$12.23

Step-by-step explanation:

75/100 = 0.75

0.75 x 6.99 = 5.2425

6.99 + 5.2425 = 12.2325

Please help ASAP I am so confused

Answers

Here are the steps, hope it helps!

I honestly don’t know because can’t really read the hand writing

Can someone help me please

Answers

Answer: B

Step-by-step explanation:

It has to be B. None of the other answers make sense.

Scarlet deposited $500 in a savings account with simple interest. One year later she had earned $30 in interest. What was the interest rate?

Answers

Answer:

6%

Step-by-step explanation:

Interest = Principal x Rate x Time (in years)

30 = 500r

r = 3/50 or 6/100 which is 6%

(C)
A man, 1.4m tall, is inspecting the behavior of a bird sitting at the top of a pole of
the height 43.4m. If the man is standing 14√3m away from the bottom of the pole
on the horizontal level, at what angle is he looking at the bird?

Answers

60°

take (43.4-1.4)m to get the remaining height which Wii be you height ie.42m

base is the distance that the man stands away from the pole

using tan rule will be opposite/adjacent

WILL GIVE BRAINELIEST ( dont know how to spell it lol)

Temperature can be measured in degrees Celsius (°C). A temperature of 0°C is the freezing point of water. Which statements are true?

Select all correct answers.


A temperature of 10°C is colder than –12°C.

A temperature of 10°C is colder than –12°C.

When the temperature is 70° above freezing, the temperature is 70°C.

When the temperature is 70° above freezing, the temperature is 70°C.

A temperature of –16°C is colder than –12°C.

A temperature of –16°C is colder than –12°C.

A temperature of –8°C is colder than –12°C.

A temperature of –8°C is colder than –12°C.

A half degree above the freezing point is a negative number.

A half degree above the freezing point is a negative number.

When the temperature is 7° below freezing, the temperature is –7°C.

Answers

Answer:

When the temperature is 70° above freezing, the temperature is 70°C.

A temperature of –16°C is colder than –12°C.  

When the temperature is 7° below freezing, the temperature is –7°C.

A temperature of 10°C is colder than –12°C.

When the temperature is 70° above freezing, the temperature is 70°C.

A temperature of –8°C is colder than –12°C.

When the temperature is 7° below freezing, the temperature is –7°C.

5713065981 if your this guy text me

Answers

Answer:

imagine she doesn't find him

*grins with werid intantions*

By the distributive law 49×17+49×3​

Answers

Answer:


Explanation:
(49 x 17) + (49 x 3)
833 + 147 = 980

John states that the product of two real numbers is a real number. Extending this to imaginary numbers John states that the product of two imaginary numbers must be imaginary. Is his statement correct?

I am having a hard time with imaginary numbers,please help.

Answers

___________________________________________________________

Answer:

no. i*i = -1

2i*3i=-6

now if they meant complex numbers the answer is still no

(2+4i)(2-4i) = 4-8i+8i-16 = -12

___________________________________________________________

For the function F(x) = }, which of these could be a value of F(x) when xis
close to zero?

Answers

Given:

The graph of the function [tex]f(x)=\dfrac{1}{x}[/tex].

To find:

The value of the function f(x), when x is close to zero.

Solution:

From the given graph it is clear that, f(x) approaches towards infinity and negative infinity as x approaches towards 0.

[tex]f(x)\to \infty[/tex] as [tex]x\to 0^+[/tex]

[tex]f(x)\to -\infty[/tex] as [tex]x\to 0^-[/tex]

In means, the value of must be very large positive value or very large negative if x is close to zero.

From the given options -10,000 is very large negative value.

So, the possible value of f(x) could be -10000 if x is close to 0.

Therefore, the correct option is A.

I'm having some trouble on this ​

Answers

they answer is a i just look at this question on something .

What is the equation in slope-intercept form of a line that passes through the point (4, 5) and has a slope of 1/2?

Answers

Answer:

1/2x + 5

Step-by-step explanation:

The y intercept is 5 & the slope is already given!

Student council wants to paint a mural of the school mascot on a wall in the gym. The scale 1 inch represents 2.5 feet is used in their plan the mascot will be 10 feet tall in the actual mural how tall is the mascot on the plan in inches

Answers

Answer:

4 inches

Step-by-step explanation:

1 inch * 10 feet / 2.5 feet = 4 inches

Could you tell me the answer of 3(b)? Pleaseeeeee

Answers

Answer:

(b)

[tex]\displaystyle \frac{2005}{2006}[/tex]

Step-by-step explanation:

(a)

First, we have to prove that:

[tex]\displaystyle \frac{1}{x}-\frac{1}{x+1}=\frac{1}{x(x+1)}[/tex]

Operate:

[tex]\displaystyle \frac{1}{x}-\frac{1}{x+1}=\frac{x+1-x}{x(x+1)}[/tex]

Simplifying:

[tex]\displaystyle \frac{1}{x}-\frac{1}{x+1}=\frac{1}{x(x+1)} [1][/tex]

(b)

Now we use the above expression to find the sum:

[tex]\displaystyle S=\frac{1}{1\times 2}+\frac{1}{2\times 3}+\frac{1}{3\times 4}+...+\frac{1}{2005\times 2006}[/tex]

Let's use [1] for each term of the sum:

[tex]\displaystyle \frac{1}{1\times 2}=\frac{1}{1}-\frac{1}{2}[/tex]

[tex]\displaystyle \frac{1}{2\times 2}=\frac{1}{2}-\frac{1}{3}[/tex]

[tex]\displaystyle \frac{1}{3\times 4}=\frac{1}{3}-\frac{1}{4}[/tex]

[tex]\displaystyle \frac{1}{2005\times 2006}=\frac{1}{2005}-\frac{1}{2006}[/tex]

Substituting:

[tex]\displaystyle S=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{2005}-\frac{1}{2006}[/tex]

Note the terms 1/2 and -1/2, 1/3 and -1/3, etc. are canceled out, leaving only the first and last terms:

[tex]\displaystyle S=\frac{1}{1}-\frac{1}{2006}=\frac{2006-1}{2006}[/tex]

[tex]\boxed{\displaystyle S=\frac{2005}{2006}}[/tex]

What is the solution?

Answers

Answer:

(2,3)

Step-by-step explanation:

it's the point of intersection

hope this helps, pls mark brainliest :D

Answer:

2,3 i believe 2 on the x axis and 3 on the y

Step-by-step explanation:

I BET EVERYONE CAN GET THIS RIGHT BUT NOT ME

Answers

the first option!! the division /)

The list of all factors for 21 is 1, 3, 7, and 21.

True or False
plz i need help

Answers

Answer:

true

Step-by-step explanation:

hope you have a wonderful new year

I believe those are all the correct factors of 21, so the answer would be true. I hope this is correct! :)


[tex] \sqrt{2} \div 2 + 2 \div \sqrt{2 } [/tex]
What does it equal to?? ​

Answers

Answer:

[tex]\frac{3\sqrt{2} }{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{\sqrt{2} }{2}[/tex] + [tex]\frac{2}{\sqrt{2} }[/tex] ← rationalise the denominator by multiplying by [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex]

= [tex]\frac{\sqrt{2} }{2}[/tex] + ( [tex]\frac{2}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] )

= [tex]\frac{\sqrt{2} }{2}[/tex] + [tex]\frac{2\sqrt{2} }{2}[/tex]

= [tex]\frac{3\sqrt{2} }{2}[/tex]

In order for the parallelogram to be a square x = ?

Answers

Answer: x = 7

Step-by-step explanation: In order for a parallelogram to be a square, the angles at the corners must be 90 degrees, and the diagonals that bisect the corner angles must be 45 degrees.

4x + 17 = 45  Subtract 17 from both sides.

4x = 28   Divide both sides by 4

x = 7

Find a public opinion poll from a media source that predicts a probability. Design a probability experiment that models a political science public opinion poll.

What are the possible outcomes and sample space of the experiment?
What were the results of the experiment? Show the results in table format.
What is the probability of each option?
How can a binomial probability experiment be set up to test the accuracy of the results?


i know this is a bit of an odd one to need help with, but this decides my grade, so please only answer if you can help

Answers

Probability theory, a branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs, but it may be any one of several possible outcomes. The actual outcome is considered to be determined by chance.

what is the slope represented in the table??????

Answers

Answer:

what?

Step-by-step explanation:

karma


You throw a ball into the air from a height of 5 feet with an
initial vertical velocity of 32 feet per second. Use the vertical
motion model, h = –16t2 + vt + s, where v is the initial
velocity in feet per second and s is the height in feet, to
calculate the maximum height of the ball. Round your answer
to the nearest tenth if necessary.
Maximum height

Answers

Answer: 21 ft

X = -32/2(-16) = 1 = time

-16(1)^2 + 32(1) + 5 = 21 ft!

Kirk's average driving speed is 7 kilometers per hour faster than Thor's. In the same length of time it takes Kirk to drive 450 kilometers, Thor drives only 408 kilometers. What is Kirk's average speed?

Answers

Answer:

x = 816 kilometers per hour.

Step-by-step explanation:

Given the following data;

Distance traveled by Kirk = 450km

Distance traveled by Thor = 408 km

Let the average driving speed of Thor be x.

Translating the word problem into an algebraic equation;

k = x + 6

We know that the time taken to cover a distance by an object with speed is given by the formula;

Time = distance/speed

Substituting into the equation, we have;

408/x = 405/x + 6

Cross-multiplying, we have;

408*(x + 6) = 405*x

408x + 2448 = 405x

408x - 405x = 2448

3x = 2448

x = 2448/3

x = 816 kilometers per hour.

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