Answer:
for the first one 9.407×10^−11
Step-by-step explanation:
Final answer:
To multiply numbers in scientific notation, multiply the coefficients and add the exponents. To divide, divide the coefficients and subtract the exponents. Ensure the final coefficient is between 1 and 10 for proper scientific notation.
Explanation:
To answer the question regarding scientific notation, I'll demonstrate the steps using the examples you provided. Remember that when multiplying numbers in scientific notation, you multiply the coefficients (the numbers in front) and then add the exponents.
(8.18 × 10^-6)(1.15 × 10^-5) = (8.18 × 1.15) × (10^-6 × 10^-5) = 9.407 × 10^-11. Since the coefficient 9.407 is between 1 and 10, this is in proper scientific notation.
To divide two numbers in scientific notation, you divide the coefficients and subtract the exponents: (1.15 × 10^-7) ÷ (2.5 × 10^-3) = (1.15 ÷ 2.5) × (10^-7 − (-3)) = 0.46 × 10^-4. Since the coefficient 0.46 is not between 1 and 10, we need to adjust it to proper scientific notation, which would be 4.6 × 10^-5.
HEEEELP PLEASE
I dont understand
Answer:
y = 0.5xStep-by-step explanation:
[tex]\dfrac{y}{x}=a\to y=ax\\\\\text{We have}\ x=1,\ y=0.5.\\\\\text{Substitute:}\\\\a=\dfrac{0.5}{1}=0.5\\\\\text{Therefore}\ y=0.5x[/tex]
Answer:
y = 0.5x
Step-by-step explanation:
x = 1; y = 0.5; 0,5 is [tex]\frac{1}{2}[/tex] of 1
1 * 0.5 would equal 0.5
So, y = 0.5x
Hope this helps :)
Express twenty-nine thousandths as a fraction
Answer:
29/1000
Step-by-step explanation:
Answer:
29/1,000
Step-by-step explanation: it says thousands so u put thousand at the bottom then you put 29 on top
Two numbers total 68 and have a difference of 8
Answer: The smaller number is 30, the larger is 38
Step-by-step explanation:
x + (x - 8) = 68
2x - 8 = 68
2x = 60
x = 30
Simplify using the order of operations. (2 + 1) 3 ÷ 32 = 1 3 9 2
Answer:
The simplified form of \((2+1)\cdot 3\div 3^{2}\).
(3 x 10) X 8 =_
X (10 X 8)
Uruekne kdnbfbd
Step-by-step explanation:
(3 × 10) × 8 = 3 × (10 × 8)
It's an Associative Property of addition:
(a + b) + c = a + (b + c)
Check it:
Left side: (3 × 10) × 8 = 30 × 8 = 240
Right side: 3 × (10 × 8) = 3 × 80 = 240
CORRECT
What is the GCF of 12 and 30?
Answer:
6
Step-by-step explanation:
i know for sure
if you want to know... well then ok
draw a diagram and put 12 and 30 on the outsides of each box than factor 12 and 30 put the numbers that they both have on each side in the middle circle and the rest on the big circles. Then multiply the numbers in the middle you get dun.. dun... dun...
6
What is 5812 as a mixed number in simplest form?
Enter your answer in the box.
Answer:
[tex]5811 \frac{1}{1} [/tex]
Step-by-step explanation:
You could do this.
I am joyous to assist you anytime.
Three cars are for sale,
Car A
£12380
Car B
£16760
Car C
£14580
The price of each car is rounded to the nearest £100.
Which price changes by the greatest amount?
You must show your working,
Final answer:
Upon examining the prices of the three cars and calculating the potential original price before rounding, we find that all three cars could have a maximum price change of £49 when rounded to the nearest £100. Therefore, all cars have the same greatest potential change in price.
Explanation:
To determine which car's price changes by the greatest amount when rounded to the nearest £100, we need to consider the possible original prices before rounding. The original price could be up to £49 above or £50 below the rounded price, as values are rounded up when they reach the halfway point (£50).
Car A
Price: £12,380. Possible price range before rounding: £12,350 to £12,429.
Car B
Price: £16,760. Possible price range before rounding: £16,750 to £16,809.
Car C
Price: £14,580. Possible price range before rounding: £14,550 to £14,629.
Now, we must calculate the maximum changes in price. The greatest amount of change occurs when the original price is at the extreme end of the range.
With each car having a possible maximum change of £49, it means that all cars could potentially have the same greatest amount of change.
Halle el valor de x de tal forma que la distancia entre los puntos dados sea de 2V5 unidades.
b) (2x – 1,2) y (1 + x,x + 4)
Answer:
The value of x is [tex](+/-)\sqrt{6}[/tex]
Step-by-step explanation:
The question in English is
Find the value of x so that the distance between the given points is 2V5 units.
(2x - 1,2) and (1 + x,x + 4)
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
substitute the values
[tex]d=\sqrt{(x+4-2)^{2}+(1+x-2x+1)^{2}}[/tex]
[tex]d=\sqrt{(x+2)^{2}+(-x+2)^{2}}[/tex]
[tex]d=\sqrt{x^2+4x+4+x^2-4x+4}[/tex]
[tex]d=\sqrt{2x^2+8}[/tex]
Remember that
[tex]d=2\sqrt{5}\ units[/tex]
substitute
[tex]2\sqrt{5}=\sqrt{2x^2+8}[/tex]
squared both sides
[tex]20=2x^2+8\\\\2x^{2}=12\\\\x^{2}=6\\\\x=(+/-)\sqrt{6}[/tex]
therefore
The value of x is [tex](+/-)\sqrt{6}[/tex]
When a number, n, is increased by two and then the result is divided by
Write an equation and solve it to find the value of n.
ult is divided by five the quotient is equal to 14.
Answer:
n=68
Step by step explanation:
When a number n is increased by two means n+2 so we can put parenthesis around it
(n+2)/5 = 14
now we solve for the equation (for the variable n)
First multiply both sides by 5 to isolate the parenthesis on the left side by itself
(n+2) = 14*5
then we can simply isolate n by itself by subtracting both sides by 2
n = 70 -2 = 68
n = 68
To find the value of n when [tex]\frac{(n + 2) }{5}[/tex] = 14, resulting in n = 68.
The question asks to define an equation based on a described operation with a given result, and then solve it to find the value of n. The operation described is increasing a number n by two, then dividing the result by five to get a quotient of 14.
To translate this into an equation, you would set up the following equation:
[tex]\frac{(n + 2) }{5}[/tex] = 14
To find the value of n, you would first multiply both sides by 5 to isolate n on one side:
n + 2 = 70
Then, subtract 2 from both sides to solve for n:
n = 68
Therefore, the value of n is 68. This solves the equation and provides the value that n must be for the operation to result in a quotient of 14.
Determine if x - 2 is a factor of p(x) = x4 - 3x2 + 2x - 8, and explain why.
Answer:
If x-2 is a factor of p(x) = x^{4} - 3 x^{2} + 2 x - 8 ,then p(x) = 0
Solution:
According to factor theorem of polynomials,
x-a is a factor of polynomial p(x), if and only p(a)=0
Step 1:
Since x-2 is factor of p(x),
x - 2 = 0
x = 2
Step 2:
[tex]p(x) = x^{4} - 3 x^{2} + 2 x - 8 ------ (equation 1)[/tex]
By substituting x = 2 in equation 1,
[tex]p(x) = 2^{4} - 3(2)^{2} + 2(2) - 8[/tex]
p(x) = 16 - 3(4 ) + 4 -8
p(x) = 16 - 12 - 4
p(x) = 16 - 16
p(x) = 0
Since x - 2 is a factor of p(x) , we get p(x)=0
The grocery store has bulk pecans on sale, which is great since you're planning on making 4 pecan pies for a wedding. How many pounds of pecans should you buy?
First, determine what information you need to answer this question, then click here to display that info (along with other info).
How many pecans are needed for each pie? Your recipe calls for 1 1/2
cups pecans per pie. But there is no cup measure available, only a scale.
How many pecans are in a pound? Perhaps the nutritional info from a bag of pecans would be helpful. (refer to photo for information)
You will need to buy________ pounds of pecans.
Give your answer accurate to at least one decimal place.
Answer:
Thus, to make 4 pecan pies one need to buy approximately 1.3 pounds of pecan.
Step-by-step explanation:
We are given the following information in the question:
Number of pecan pies to be made = 4
Pecan required to make 1 pie = [tex]1\frac{1}{2} \text{ cups}[/tex]
Pecan required to make 4 cups =
[tex]4\times 1\frac{1}{2} = 4\times \frac{3}{2} = 6\text{ cups}[/tex]
Now, 1 bag of pecan has a serving size of 1 cup . Hence, we need to buy 6 such bag.
Now, weight of one bag = 99 grams
Weight for 6 cups of pecan = [tex]6\times 99 = 594\text{ grams}[/tex]
We know that:
1 gram = 0.00220462 Pounds
594 grams of pecans = [tex]594\times 0.00220462 =1.30954428 \text{ pounds of Pecan}[/tex]
Thus, to make 4 pecan pies one need to buy approximately 1.3 pounds of pecan.
To solve this problem, first determine the information you need to answer. As we need to make 4 pecans of the pies, take the values for the one piece and multiply it with four.
To make 4 pecans pies one will required to by 1.30 pounds of pecan.
Given information:
Number of pecan pies to be made is 4
The pecan needed to make 1 pie is [tex]1.5[/tex] cups.
Now, Pecan required to make 4 cups will be:
[tex]4 \times 1.5 = 6[/tex] cups.
As, 1 bag of pecan has a serving size of 1 cup
Hence, we need 6 such bags.
Now, weight of the bag is 99 grams
so,
weight of 6 such bags will be
[tex]=6\times 99\\=594 \;\text{gm}[/tex]
And we have
[tex]1 \; \text{gm}=0.00220462 \; \text{pound}[/tex]
So,
594 grams of pecans = [tex]594\times 0.00220462[/tex]
[tex]=1.3095 \;\text{pounds}[/tex]
Hence, to make 4 pecans pies one will required to by 1.30 pounds of pecan.
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How do I find a translation ?
The translation rule is T
.101 as a simplified fraction
The answer is 101/1000
Happy to help
If a number is not a natural number then it is not a whole number
Answer:
no
Step-by-step explanation:
a natural number has to be a whole number
The base of this regular right pyramid is a square. What is its surface area?
Answer:
○ A) 21 ft.²
Step-by-step explanation:
[tex] {a}^{2} + 2a \sqrt{ \frac{ {a}^{2}}{4} + {h}^{2} } = S. A. \\ \\ {3}^{2} + 2(3) \sqrt{ \frac{ {3}^{2} }{4} + {2}^{2}} = 24 \\ \\ 24 ≈ 21[/tex]
I am joyous to assist you anytime.
What would 672,831 be rounded to the nearest hundred
Answer:
672,800
Step-by-step explanation:
672,800 672800
What is the GCF of 12 and 360
Answer: The GCF of 12 and 360 is 12
What is the image point of (5,2) after a translation left 1 unit and down 2 units?
Answer:
(4, 0 )
Step-by-step explanation:
A translation of 1 unit left, subtract 1 from the original x- coordinate
A translation of 2 units down, subtract 2 from the original y- coordinate
The rule is (x, y ) → (x - 1, y - 2 ), thus
(5, 2 ) → (5 - 1, 2 - 2 ) → (4, 0 )
The image point of (5,2) after a translation left 1 unit and down 2 units is (4, 0).
Explanation:To find the image point of (5,2) after a translation left 1 unit and down 2 units, we need to subtract 1 from the x-coordinate and subtract 2 from the y-coordinate.
The translated image point would be (5-1, 2-2) = (4, 0).
So, the image point of (5,2) after the translation left 1 unit and down 2 units is (4, 0).
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Write a number in each box to make an equation that has no real solution. Explain why this equation has no solution. 4(a-2) + a = __a - __
Answer:
4(a-2)+a=4a-2 No solution
Step-by-step explanation:
This would never be true. Try plugging in a as 1.
4(1-2)+1 isn't equal to 4(1)-2.
What is the prime factorization of 9
Answer:3^2
Step-by-step explanation:
Find prime numbers that go into nine.
3 goes into to 9 3 times. 3 is a prime number so the prime factorization for nine is
3*3=3^2
The Prime factorization of 9 is expressed as: 3 * 3 or 3²
How to find the prime factors?A prime factor is defined as a natural number, other than 1, whose only factors are 1 and itself. The first few prime numbers are actually 2, 3, 5, 7, 11, and so on.
Now we can also use what's called prime factorization for numbers which actually consist of using factor trees.
Now, some of the factors of 9 are 1, 3, 9. Thus:
Prime factorization of 9 = 3 * 3 = 3²
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division of whole numbers
Answer:
The number 24 is called the dividend ('that which is to be divided'). The number 8 is called the divisor ('that which divides'). The number 3 is called the quotient, (from the Latin quotiens meaning 'how many times'). Division without remainder can be visualized as skip-counting.
(15-3)÷12+1
How to divide this without using a remainder?
Answer:
If you solved this, it wouldn't have a remainder. First you would solve the numbers in the parenthesis, (15 - 3), which is 12. Now it should look like, 12 ÷ 12 + 1. Next you divide 12 by 12 and that equals 1. And all you need to do now is add 1 + 1, which is 2. So your answer will be 2.
Answer:
2
Step-by-step explanation:
To be able to solve this equation, you would use PEMDAS. This stands for the order of operations, and which order you would do them in. P stands for parenthesis, E stands for exponents, M stands for multiplication, D stands for division, A stands for addition, and S stands for subtraction. Using this order, you would solve what is inside the parentheses first. So, 15-3 is 12. Once this piece is solved, you would have 12÷12+1. Then, since you don't have any exponents or multiplication, you would skip to division. 12 ÷ 12 is 1. So then your equation would be: 1+1. 1+1 is equal to 2. So your answer is 2! There is not remainder in the solution of this problem.
The diameter of an ice skating rink is 44 feet. In terms of π, what is the area of the rink to the nearest square yard? (9 ft2 = 1 yd2)
Answer:
B. 54π yd^2
Step-by-step explanation:
On god it is right trust mee!
Answer: Our required area is 54π sq. yd.
Step-by-step explanation:
Since we have given that
Diameter of an ice skating = 44 feet
Radius of an ice skating = 22 feet
as we know the formula for area :
Area would be
[tex]\pi r^2\\\\=\pi \times 22^2\\\\=484\pi\ ft^2[/tex]
As we know that
9 sq ft = 1 sq yd
So, it becomes,
[tex]\dfrac{484\pi}{9}=53.77\pi\ yd^2\approx 54\pi\ yd^2[/tex]
Hence, our required area is 54π sq. yd.
......is an example of
Answer:
The answer would be 'D'.
Step-by-step explanation:
An expression does NOT have an equal sign while a formula does. A variable is some letter symbol that you are solving for, but a constant would be a number such as 2 or 4 that could be added, multiplied, subtracted, or divided in an equation.
I hope this helps!
Answer:
Step-by-step explanation:
a formula
What is an equation of a line perpendicular to 5x+8y=16 and passed through (-5,7)
Answer:
y = (8/5)x + 15
Step-by-step explanation:
First change the equation to standard form (y=mx+b)
5x + 8y = 16
8y = 16 - 5x
y = - (5/8)x + (16/8)
y = - (5/8)x + 2
Perpendicular Lines have the inverse opposite sign of slope
[For example: inverse opposite sign of 2 is - (1/2)]
Original equation slope (m) : - (5/8)
2nd Equation (m) : 8/5
After finding the slope, plug in the slope and points the standard form equation (y=mx+b)
Point: (-5,7) x : -5 y : 7
Slope (m) : 8/5
y = m x + b
7 = (8/5) (-5) + b
'b' is the y-intercept and the last thing to solve for the equation
7 = - 8 + b
15 = b
Now, put the slope (m) and y-intercept (b) back into the equation
y = (8/5)x + 15
solve the equation.
2x-3+4x=21
Answer:
x=4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
2x-3+4x=21
2x+4x=21+3
6x=24
x=4
Determine if the equation
y = 2/5 x − 4
represents a proportional relationship. If so, determine the constant of proportionality.
Answer:
The given equation not represent a proportional relationship
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem we have
[tex]y=\frac{2}{5}x-4[/tex]
This line not passes through the origin
Verify
For x=0
[tex]y=\frac{2}{5}(0)-4=-4[/tex]
therefore
The given equation not represent a proportional relationship
Three less than eight times the number is equal to half of 16 times the number after it was increased by one
Answer:
1) The question is aimed to determine the number that Laura is trying to come up with.
Such question is solved by stating an algebraic equation from the word statement, which is done step by step.
2) Using the name x for the unknown, the expression "three less than 8 times the number" is translated to: 8x - 3
3) The expression "half of 16 times the number after it was increased by 1" is translated to: (1/2) (16x + 1)
4) Finally, since they are equal, you can set the equation:
8x - 3 = (1/2) (16x + 1)
5) And solve for x in this way:
i) Distributive property:
8x - 3 = 8x + 1/2
ii) At this stage you can see that the both 8x terms (on the left and on the right) cancel each other, which leads to the impossibility to determine the value of the unknown:
-3 = 1/2 which is alwasy false, meaning that the equation has no solution.
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Step-by-step explanation:
hope it help
Laura can’t find a number that works because the equation is inconsistent and has no solution.
How to determine this unknown number?In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into an algebraic equation as follows:
Let the variable n represent the unknown number.
Based on the statement "Three less than eight times the number is equal to half of 16 times the number after it was increased by one," we can logically deduce the following algebraic equation;
8n - 3 = 1/2 × (16n + 1)
16n - 6 = 16n + 1
16n - 16n = 1 + 6
0 = 7 (False).
Therefore, this equation has no solution because the coefficients are the same on both sides.
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Complete Question;
Laura is now trying to come up with a number where three less than eight times the number is equal to half of 16 times the number after it was increased by one. She can’t seem to find a number that works explain why
Which is an equivalent expression to +18- -29. A -18+ +18 B +29 + +18. C -18 - +29. D -29 - -18
Answer:
B. +29 + +18
Step-by-step explanation:
+18- -29 what you do is you make the minus signs addition because when you are subtracting a negative it becomes a positive.
+29 + +18 is your answer.
Your answer will be option B "+29 + +18." Equivalent means the same amount and according to the rules of KCC (Keep Change Change) +18 - -29 will convert into +18 + +29 which would equal 47 which is equivalent to option B.
[tex]+18 -29[/tex]
[tex]KCC=18+29[/tex]
[tex]18+29=47[/tex]
Option A -18 + 18 = 0
Option B +29 + +18 = 47
Option C -18 - +29 = -18 + -29 = -47
Option D -29 - -18 = -29 + 18 = -11
Therefore your answer is option B.
Hope this helps.