Approximately 5.6 x 10¹⁴ grains of wheat in scientific notation.
Describe Geometric Series?A geometric series is a sequence of numbers in which each term is obtained by multiplying the previous term by a fixed constant. This constant is called the common ratio, and it is denoted by the letter "r".
The formula for the sum of the first n terms of a geometric series is:
S_n = a(1 - rⁿ)/(1 - r)
where S_n is the sum of the first n terms, a is the first term of the sequence, r is the common ratio, and n is the number of terms in the series.
The number of grains of wheat on each square of the board can be found by raising 2 to the power of the square number minus 1. For example, the number of grains of wheat on the first square is 2⁰ = 1, the number on the second square is 2¹ = 2, the number on the third square is 2² = 4, and so on.
So, the total number of grains of wheat on the board is the sum of 2⁰ + 2¹ + 2² + ... + 2⁴⁸. This is a geometric series with first term 1 and common ratio 2. Using the formula for the sum of a geometric series, the total number of grains of wheat is:
2⁰ + 2¹ + 2² + ... + 2⁴⁸ = (2⁴⁹ - 1)/(2 - 1) = 2⁴⁹ - 1
This is approximately 5.6 x 10¹⁴ grains of wheat in scientific notation.
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Can anyone solve this?
Answer:
A) 96 cm
Step-by-step explanation:
Split into three parallelograms
Shape 1: 6 by 7 6×7=42
Shape 2: 3 by 4 3×4=12
Shape 3: 6 by 7 6×7=42
42+12+42=96
Answer:
96 cm
Step-by-step explanation:
Breaking the shape up into 3 smaller rectangles then finding the area of each gives us the total area
[tex]6*7=42*2=84[/tex]
[tex]3*4=12[/tex]
[tex]84+12=96[/tex]
What is the rule that describes the following number pattern
0,25;2,5;25;250
Answer:
aₙ=0.25*10ⁿ.
Step-by-step explanation:
0.25*10=2.5; 2.5*10=25; 25*10=250.., then it can be written as aₙ=0.25*10ⁿ
Trina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?
187.15 divided by 19 is 9.85.
9.85 x 40 = 394
Therefore she earns $394 if she worked 40 hours.
Answer: $394
93 is 150% of what number?
Answer:
62
Step-by-step explanation:
93÷150=0.62
×100 = 62
Hope this helps!!!!
Answer:
62
Step-by-step explanation:
Divide
93/150% = 62
(100*93) / 150
9,300/150 = 62
Helpppp :( I need help on this
Answer:
x = -7
Step-by-step explanation:
Replace the x with -7 and add 4 to -7 to get -3. Then multiply by 7 to get -21.
Answer:
X = -7Step-by-step explanation:
=> 7(x + 4)= -21multiply all the terms in the bracket by 7
=> 7x + 28 = -21make x the subject of formula
=> 7x = -21 -28subtract the value
=> 7x = -49divide both side by 7
=> x = (-49)/7divide -49 by 7
=> x = -7The edges of the bases of the frustum of a regular square pyramid have lengths 5 and 9, and the slant height of the frustum is 6.
What is the volume of the frustrum
I will give 100 points
We know that,
[tex]V = \frac{1}{3} (a{}^{2} + ab + b{}^{2})h \\ [/tex]
Also,
[tex]l {}^{2} = h {}^{2} + (b - a) {}^{2} [/tex]
[tex]6{}^{2} = h {}^{2} + (9 - 5) {}^{2} [/tex]
[tex]36 = h {}^{2} +16[/tex]
[tex]h {}^{2} = 36 - 16[/tex]
[tex]h = \sqrt{20} [/tex]
[tex]h = 4.47[/tex]
Now , putting the value in the formula of volume
we get,
[tex]V = \frac{1}{3} (5{}^{2}+ 5 \times 9 + 9{}^{2})4.47 \\ [/tex]
[tex]V = \frac{1}{3} (25 + 5 \times 9 + 81)4.47 \\ [/tex]
[tex]V = \frac{1}{3} (25 + 45 + 81)4.47 \\ [/tex]
[tex]V = \frac{1}{3} \times 151 \times 4.47 \\ [/tex]
[tex]V = 224.99[/tex]
Hence, the volume of the given frustum is 224.99 cubic unit
Explain how to find the mean of a data set.
Answer:
to find the mean you must add all of the numbers in a data set together and then divide by how many numbers there are.
Answer:
give brainliest?
Step-by-step explanation:
the mean or average of a data set is found by adding all numbers in the data and then dividing by the number of values in the set.
For example, if you have 10 numbers, you add them up and divide by 10. This would give you the mean of the data.
Here's another example with the numbers: 9,8,22,7,7,8,17
First add the numbers up: 9+6+20+7+7+8+20+2+2 = 81 Then divide 81 by the total number of data points, 9, and you get 9.
Theerefore the mean is 9.
Need help ASAP PLEASE
Answer:
40 goodie bags
Step-by-step explanation:
We know that there are 1000 grams in a 1 kilogram. So the weight of the box with the party goody bags is 6200 grams. To get the weight of just the goody bags, we subtract the weight of the empty box from the box with the goody bags. We have 6200-200=6000 grams. So the weight of all the goody bags is 6000 grams. Since each goody bag is 150 grams, we divide 6000 by 150. So, 6000/150 = 40. Therefore there are 40 goodie bags.
There are three angles on a straight line. What could they be if they are all multiples of 5⁰ ?
The multiples of 5 include 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80...
Given that its a straight line, so the sum of three angles is 180°
So possible angles:
60°, 60°, 60°75°, 35°, 70°50°, 70°, 60°35°, 95°, 50°..
On the map below, all numbered streets run parallel to each other. Both 3rd and 4th streets are intersected by King Avenue.
A delivery driver is driving around town and has noticed that every time he turns, it creates an angle. What are the measures of Angles Y, and Z on the map?
Answer:
The answer of Y I belive its 75 degrees and Z is 105 degrees
Step-by-step explanation:
Because a triangle equals 180 so 180-75 gives you 105 for Z
im positive this is right im not sure correct me if im wrong
hope this helped
The measures of Angles Y, and Z on the map where, all numbered streets run parallel to each other is 75 and 105 degrees respectively.
What are angles formed by transverse?Angles formed by the transverse line cut by the transversal-
Corresponding angle- Corresponding angle keeps the same position on two different parallel line when cut by transverse.Alternate interior angle- This angle made inside the parallel lines cut by the transversal.Alternate exterior angle- This angle made outside the parallel lines cut by the transversal.Supplementary angle- Angle which made on the same line. The sum of the supplementary angle is equal to the 180 degrees.
In the given map, all numbered streets run parallel to each other. Here, both 3rd and 4th streets are intersected by King Avenue.
Here, the delivery driver is driving around town and has noticed that every time he turns, it creates an angle.
The angle y is the angle whose measure is 75 degree are the corresponding angle. Therefore, they must be equal as,
[tex]m\angle y=75^o[/tex]
Hence, the measure of angle y is 75 degrees.
The angle y angle z are the supplementary angle, made on the same line. Therefore,
[tex]m\angle y+m\angle z=180^o\\75+m\angle z=180\\m\angle z=180-75\\m\angle z=105[/tex]
Hence, the measures of Angles Y, and Z on the map where, all numbered streets run parallel to each other are 75 and 105 degrees respectively.
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What does it mean for lines to be parallel?
What does it mean for lines to be perpendicular?
Answer:
for lines to be Parallel it means they will never touch. Think of train tracks. The two rails will never touch each other. For lines to be perpendicular they have to meet each other to form a corner. think the edge of a desk.
3x + 7x - 3y = 12
what is the simplifyed equation?
Answer:
10x-3y=12
Step-by-step explanation:
In algebra, we always add alike terms. Meaning, when a set has numbers with the same variable, in this case it was x, we can add/substract/divide them to simplify the equations.
A boy is older than his sister by 3 years five years ago, the ratio of their ages was 4:3. Find the present age. let the age of the boy be b and the age of the sister be s
Answer:
Let brother's present age be x and sister's present be y
x=y+3
5 years ago
x-5/y-5=4/3
Putting the value of x
y+3–5/y-5=4/3
y-2/y-5=4/3
3(y-2)=4(y-5)
3y-6=4y-20
y=14
x=14+3=17
Brother's present age =17years, sister's present age=14years
I NEED HELP IN 5 min HURRRRRRRRRRRRRY
Answer:
x = 100
Step-by-step explanation:
57 + x + 23 = 180
x + 80 = 180
x = 100
Answer:
100
Step-by-step explanation:
180-57
=123
123=x+23
x=123-23
x=100
2 exterior angle bisector intersect an interior angle bisector at a point. What is the name of the point?
Answer:
Exterior angle bisectors of the side △ABC at vertices B and C intersect at D. Find ∠BDC if ∠BAC=40∘
Step-by-step explanation:
An angle measures 56° more than the measure of its complementary angle. What is the measure of each angle?
° and °
Answer:
34 & 34
Step-by-step explanation:
Can some one answer these questions please!!!!
!!Use factoring expression!!
1. 7g-35
2. 60m+24n
3. 16w+6w+10
4. 40a+8b-24
5. 4r+ 28t-40
Thanks!!!!!
Answer:
1. 7(g-5)
2. 12(5m+2n)
3. 2(11w+5)
4. 8(5a+b-3)
5. 4(r+7t-10)
Step-by-step explanation:
simply take out the most common multiple of these numbers
The table shows some ordered pairs that belong to the continuous quadratic function Which of the following best describes the range of q?
Answer:
ion kno gang ask a teacher
Which statement is NOT true?
Answer: C. is not correct because angle 2 and angle 5 are same side interior angles. Same side interior angles of parallel lines always add up to 180 degrees. Therefore, the only way angle 2 would be equal to angle 5 would be if they were both 90 degrees, which the two angles are not always right angles.
which expression is equivalent to √184 ?
a. 92 b. 2√46 c. 4√23 d. 4√46
Answer:
[tex]2\sqrt{46}[/tex]
Step-by-step explanation:
The factor of the 184 will be 2 × 2 × 46. Then the expression is equivalent to the expression 2√46, Then the correct option is B.
What is an equivalent?The equivalent is the expression that are in different forms but are equal to the same value.
The given expression is √184.
Then the factor of the 184 will be
184 = 2 × 2 × 46
Then the square root of 184 will be
√184 = 2√46
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 Write down the first three terms of the sequence described.
The first term is 7; the term-to-term rule is 'add 3
Answer:
7, 10, 13, 16
Step-by-step explanation:
Given,
Frist term=7
term-to-term rule is add 3
Therefore first three terms will be
7, 7+3=10, 10+3= 13, 13+3=16
An oil is well produced 2356 barrels per day. How many barrels would it produce in april
Answer:
The oil would produce 70,680 barrels in April.
Step-by-step explanation:
There are 30 days in April.
2356 x 30 = 70,680
Can u please help me?
Step-by-step explanation:
I solved it by steps...
I hope you understand...
Molly is having her birthday party at Pizza Party Palace. The costs involved are listed below. Pizza Party Palace requires a 10% deposit prior to the date of the event. If the deposit has been paid, how much is still owed for Molly's party?
Answer:
D.45
take the problem then times it by all your payments by each individual price
What is the closest whole number approximation of √50?
Answer:
7
Step-by-step explanation:
√50 is close to √49
49 is a perfect square, 50 is close to 49.
√49 = 7
√50 ≈ 7.071068
Answer:
7
Step-by-step explanation:
[tex]\sqrt{50} =7.07[/tex]
Hope this helps
what is the area ???
Answer:
87
Step-by-step explanation:
Split into three rectangles
Shape 1: 12 by 3 12×3=36
Shape 2: 3 by 5 3×5=15
Shape 3: 12 by 3 12×3=36
36+15+36=87
Answer:
87 yds
Step-by-step explanation:
simply break the shape into 3 smaller rectangles and find the area of each one
1st one [tex]12*3=36[/tex]
2nd one[tex]5*3=15[/tex]
3rd one[tex]12*3=36[/tex]
add up the areas [tex]36+36+15=87[/tex]
The standard diameter of a golf ball is 42. 67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0. 002 mm. Which function could represent this situation? f(x ) = x – |42. 67| f(x ) = |x| – 42. 67 f(x ) = |42. 67 – x| f(x ) = 42. 67 – |x|.
Using function theory, the function that could represent this situation is
f(x) = |42. 67 – x| .
It is given that
The standard diameter of the golf ball = is 42.67
Allowable discrepancy = ±0.002
So upper limit of diameter = 42.672
The lower limit of diameter = 42.668
We need a function that can help in finding a discrepancy.
What is a function?A function is a rule which determines the relation between two variables.
The correct function that could represent this situation will be
f(x ) = |42. 67 – x|
Where x is the diameter of the ball produced.
For example, if a ball of diameter 42.665 is produced
f(x) = |42. 67 – x|
f(42.665) = |42. 67 – 42.670| = 0.005 which is more than the permitted tolerance i.e 0.002.
So, one can easily decide whether to stop production or not.
Therefore, the function that could represent this situation is
f(x) = |42. 67 – x| .
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Work out the circumference of a circle with radius 7.5cm.
Take pi too be 3.142
Answer:
47.13
Step-by-step explanation:
Answer:
mm99
Step-by-step explanation:
1. Solve the following inequality on your own paper and select the best answer below.
Answer:
C. y≥2
Step-by-step explanation:
y+5≥7
You must subtract 5 from both sides
y≥7-5
y≥2
....................
Answer:
sub to juice_fox. ?....