Answer and Step-by-step explanation:
We will begin to solve this problem by defining first what the sets' elements really are.
R consists of real numbers. This means that this set contains all the numbers, rational or not.
Z is composed of whole numbers. Integers include all negative and positive numbers as well as zero (it's basically a set of whole numbers and their negated values).
W, on the other hand, has 0,1,2, and its elements are onward. Those numbers are referred to as whole numbers.
W ⊂ Z is TRUE. Z contains all the numbers as stated earlier, and W is a subset of it.
R ⊂ W is FALSE. Not all numbers are complete numbers. Complete numbers must be rational and represented fractionless. These requirements are not met by those real numbers.
0 ∈ Z is TRUE. Zero is just an integer so it is a component of Z.
∅ ⊂ R is TRUE. A set i.e null be R subset, and each and every set is a general set. Moreover, there were not single elements in a null set, so it spontaneous became a non empty set subset through description as there is no element of R.
{0,1,2,...} ⊆ W is TRUE. The set on the left is precisely what is specified in the statement for problem for W. (The bar below the subset symbol simply implies that the subset is not rigid, because the set on the left may be equal to the set on the right. Without it, the argument would be incorrect, because a strict subset needs that the two sets not be identical).
-2 ∈ W is FALSE. W's only made up of whole numbers and not their negated equivalents.
Find the distance from point B to point C.
Enter as a decimal rounded to the nearest tenth.
66°
5 mi
B
BC = [?] mi
Answer:
BC = 11.2 mi.
Step-by-step explanation:
Tan 66 = [tex]\frac{opposite }{adjacent}[/tex]
2.246 = [tex]\frac{BC}{5}[/tex]
=> BC = 5 × 2.246
=> BC = 11.2 mi.
HELP ASAP GIVING BRANLIST!!
Answer:
Question 1: 3 - 5 hours.
Question 2: 0 - 1 hour
Step-by-step explanation:
Question 1: As you can see in the diagram, the guy is moving really slowly and is almost stuck, therefore, it is 3 - 5 hours.
Question 2: In hours 0 - 1, you can see that the graph is the closest to vertical as it gets.
Write an equation in slope-intercept form for the line that passes through (4,5) and parallel to the to the line described by y=5x+10
Answer:
[tex]y = 5x-15[/tex]
Step-by-step explanation:
Parallel ⇒ So the slopes will definitely be equal
So,
Slope = m = 5
Now,
Point = (x,y) = (4,5)
So, x = 4, y = 5
Putting these in the slope intercept form to get b
[tex]y = mx +b \\[/tex]
5 = (5)(4) + b
5 = 20 + b
b = -20+5
b = -15
So, Putting m and b in the slope intercept form to get the required equation,
[tex]y = 5x-15[/tex]
A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola yequals25minusxsquared. What are the dimensions of the rectangle with the maximum area? What is the area?
Answer:
The answer is "[tex]\bold{\frac{32}{3}}\\[/tex]"
Step-by-step explanation:
The rectangle should also be symmetrical to it because of the symmetry to the y-axis The pole of the y-axis. Its lower two vertices are (-x,0). it means that
and (-x,0), and (x,0). Therefore the base measurement of the rectangle is 2x. The top vertices on the parabola are as follows:
The calculation of the height of the rectangle also is clearly 16-x^2, (-x,16,-x^2) and (x,16,-x^2).
The area of the rectangle:
[tex]A(x)=(2x)(16-x^2)\\\\A(x)=32x-2x^3[/tex]
The local extremes of this function are where the first derivative is 0:
[tex]A'(x)=32-6x^2\\\\32-6x^2=0\\\\x= \pm\sqrt{\frac{32}{6}}\\\\x= \pm\frac{4\sqrt{3}}{3}\\\\[/tex]
Simply ignore the negative root because we need a positive length calculation
It wants a maximum, this we want to see if the second derivative's profit at the end is negative.
[tex]A''\frac{4\sqrt{3}}{3} = -12\frac{4\sqrt{3}}{3}<0\\\\2.\frac{4\sqrt{3}}{3}= \frac{8\sqrt{3}}{3}\\\\\vertical \ dimension\\\\16-(\frac{4\sqrt{3}}{3})^2= \frac{32}{3}[/tex]
What is the range of the given function? {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)
Answer:
{0, –3, –9, 5, 7)}
Step-by-step explanation:
The range of the function is the list of second numbers in the ordered pairs:
{0, –3, –9, 5, 7)}
_____
If you like, you can rearrange them to increasing order:
{-9, -3, 0, 5, 7}
Someone help me please?
[tex]32500[/tex]
[tex]0.00604[/tex]
[tex]2.4 \times 10^6[/tex]
[tex]1.47 \times 10^{-3}[/tex]
Answer:
A) 32500
B) 0.00604
C) [tex]2.4 * 10^6[/tex]
D) [tex]1.47 * 10^{-3}[/tex]
Decide whether the method of undetermined coefficients together with superposition can be applied to find a particular solution of the given equation. Do not solve the equation Can the method of undetermined coefficients together with superposition be applied to find a particular solution of the given equation?
A. No, because the right side of the given equation is not the correct type of function
B, Yes °
C. No, because the differential equation is not linear.
D. No, because the differential equation does not have constant coefficients.
Answer:
D. No, because the differential equation does not have constant coefficients.
Step-by-step explanation:
The undetermined coefficient method cannot be applied to non homogeneous variables. The differential equation does not have constant variables therefore the method of undetermined superposition can not be applied. To complete a solution of non homogeneous equation the particular solution must be added to the homogeneous equation.
The length of a rectangle is 3 inches more than its width. If the length and width are each increased by 2 inches, the perimeter of the rectangle becomes 66 inches. If x is the width of the rectangle, find its length and width.
Answer:1
Step-by-step explanation:
Nathan wants to use coordinate geometry to prove that the opposite sides of
a rectangle are congruent. He places parallelogram ABCD in the coordinate
plane so that Ais (0,0), B is (a,0), Cis (a, b), and Dis (0, b).
What formula can he use to determine the distance from point C to point D?
Answer: C
Step-by-step explanation:
So, first you should draw this rectangle and lable the points accordingly. We can see that the x value of D is 0. That point goes in the bottom left and the A point goes in the top left. You should really draw this while im explaining so it makes more sense.
Now we need to figure out where C and B are. B has a y value of 0, so that means B is in the top right corner. C is in the bottom right.
We have this rectangle labeled now, that was the hard part. We want the distance from C to D. That's essentially Δx, which is (a-0). That just equals a itself. Its either choice A.) or choice C.)
In choice A.), they use 0 - 0 which makes no sense because Δy has no 0 values. We can see our change in y is (b - b). All I did was subtract the two y coords, just like Δx.
Answer C.) fits this perfectly. And I just realized i over complicated this problem. You didnt really have to label these points ABCD. But oh well, I still got the right answer. The 3rd paragraph and on is the only imprtant info
The distance from point C to point D is a units option (C) is correct.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have:
Parallelogram ABCD in the coordinate plane so that A is (0,0), B is (a,0), C is (a, b), and D is (0, b).
The distance between C to D
[tex]\rm d=\sqrt{(0-a)^2+(b-b)^2}[/tex]
[tex]\rm d=\sqrt{(a)^2}[/tex]
d = a units
Thus, the distance from point C to point D is a units option (C) is correct.
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A triangle is rotated 90° about the origin. Which rule describes the transformation?
O(,y) - (x, y)
(x,y) - (y,x)
(x,y) - (y; -)
O(x, y) - (y;-)
Answer:
(x, y) - (y, -x)
Step-by-step explanation:
Rotation is a process in which the orientation of a given figure is changed by turning it about a point called origin. The rotation can be done either clock-wisely or counterclockwise about the origin.
If the given triangle is rotated [tex]90^{0}[/tex] clockwise, the rule that describe the transformation is; (x, y) - (y, -x)
If the given triangle is rotated [tex]90^{0}[/tex] counterclockwise, the rule that describe the transformation is; (x, y) - (-y, x)
In the given question, the required rule is; (x, y) - (y, -x). This shows a clockwise rotation of [tex]90^{0}[/tex] about the origin.
Solve this system using substitution then write your answer as an ordered pair (x,y) X-5y=4 and Y=2x+14
Answer:
(74/9,274/9)
Step-by-step explanation:
You have
x-5y=4 and
y=2x+14
so we subsitute y in the first equation
x-5(2x+14)=4
x-10x-70=4
-9x=74
x=74/9
so y=2(74/9)+14
y=148/9+14
y=274/9
so the oredered pair is
(74/9,274/9)
The solution of the system of equations given is (-74/9, -22/9).
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Linear equations may include one or more variables.
Given linear equations are,
x - 5y = 4
y = 2x + 14
We have to solve this by substitution.
Substituting the value of y as y = 2x + 14 in the first equation x - 5y = 4,
x - 5 (2x + 14) = 4
By the distributive property,
x - 10x - 70 = 4
-9x = 74
x = -74/9
y = 2x + 14 = (2 × -74/9) + 14 = -22/9
Hence the solution of the system of equations as the ordered pair is (-74/9, -22/9).
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Betty can mow a lawn in 20 minutes. Bullwinkle can mow the same lawn in 60 minutes. How long does it take for both Betty and Bullwinkle to mow the lawn if they are working together? Express your answer as a reduced fraction.
Answer:
15 minutes
Step-by-step explanation:
Betty mows at 3 times the speed that Bullwinkle does, so is equivalent to having 3 Bullwinkles in her place. That makes the lawn get mowed as though 4 Bullwinkles were working, so it will take 1/4 the time it takes Bullwinkle to mow the whole yard. 1/4 of 60 minutes is 15 minutes.
Working together, Betty and Bullwinkle will take 15 minutes to mow the lawn.
A statistician wants to determine if there is a difference in the fuel efficiency of cars between model years. To do this, he selects random makes and models of cars and compares the fuel efficiency in miles per gallon of the current model year and the previous model year. Suppose that data were collected for a random sample of 9 cars, where each difference is calculated by subtracting the fuel efficiency in miles per gallon of the previous model year from the fuel efficiency in miles per gallon of the current model year. Assume that the fuel efficiencies are normally distributed. The statistician uses the alternative hypothesis Ha:μd≠0. Using a test statistic of t≈6.163, which has 8 degrees of freedom, determine the range that contains the p-value.
Answer:
P-value = 0.00028
Step-by-step explanation:
The statician performs an hypothesis test for the mean difference.
As the alternative hypothesis is Ha: μd ≠ 0, we know that it is a two-tailed test.
The test statistic is t=6.163.
For a two-tailed test and 8 degrees of freedom, this corresponds to a P-value of:
[tex]\text{P-value}=2\cdot P(t>6.163)=0.00028[/tex]
This P-value is smaller enough to reject the null hypothesis at almost any significance level.
Which is equivalent to 3/8*1/4x
Answer:
9 1/2
Step-by-step explanation:
Answer:
[tex]\frac{3x}{32}[/tex]
Step-by-step explanation:
[tex]\frac{3}{8}\times \frac{1}{4}x[/tex]
[tex]\frac{3\times \:1\times \:x}{8\times \:4}[/tex]
[tex]=\frac{3x}{32}[/tex]
In a random sample of 200 people, 154 said that they watched educational television. Find the 90% confidence interval of the true proportion of people who watched educational television.
Answer:
The 90% confidence interval of the true proportion of people who watched educational television is (0.7117, 0.8283)
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 200, \pi = \frac{154}{200} = 0.77[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 1.96\sqrt{\frac{0.77*0.23}{200}} = 0.7117[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 1.96\sqrt{\frac{0.77*0.23}{200}} = 0.8283[/tex]
The 90% confidence interval of the true proportion of people who watched educational television is (0.7117, 0.8283)
3.249 thousandths rounded to the nearest tenth
Answer:
3.2
Step-by-step explanation:
Rounded to the nearest 10
You find 72 coins consisting only of nickels, dimes, and quarters, with a face value of $10.20. However, the coins all date from 1919, and are worth considerably more than their face value. A coin dealer offers you $10 for each nickel, $20 for each dime, and $15 for each quarter, for a total of $1,060. How many nickels did you find?
Answer:
You have found 24 nickels.
Step-by-step explanation:
Let N be the number of nickles, D be the number of dimes and Q be the number of quarters. The number of coins and their face values are given by the following expressions, respectively:
[tex]N+D+Q=72\\0.05N+0.10D+0.25Q=10.20[/tex]
As of now we have three variables and two expressions, the final expression needed to solve the linear system is given by the amount offered by the coin dealer:
[tex]10N+20D+15Q=1,060[/tex]
Solving the linear system:
[tex]N+D+Q=72\\5N+10D+25Q=1,020\\10N+20D+15Q=1,060\\\\10N-10N+20D-20D+15Q-50Q=1,060-(2*1,020)\\-35Q=-980\\Q=28\\\\5N-10N+10D-10D+25Q-10Q=1,020-720\\-5N+15Q=300\\-5N=300-(15*28)\\N=24[/tex]
You have found 24 nickels.
Please help me with some methods to do this question. Thanks
Answer: See below
Step-by-step explanation:
1. For this first pair, we want to find f(g(x)) and g(f(x)). Seeing this may be intimidating and confusing, but as long as you are clear on what you are plugging in, it won't be as confusing.
f(g(x)) means you are plugging the function g(x) into every x in f(x). So, every time you see an x in f(x), you plug in g(x).
[tex]f(g(x))=\frac{1}{(\frac{7}{x}+6 )-6}[/tex]
[tex]f(g(x))=\frac{1}{\frac{7}{x} } =\frac{x}{7}[/tex]
f(g(x))=x/7
g(f(x)) means you are plugging the function f(x) into every x in g(x). So, every time you see an x in g(x), you plug in f(x).
[tex]g(f(x))=\frac{7}{\frac{1}{x-6} } +6[/tex]
[tex]g(f(x))=7(x-6)+6=7x-42+6=7x-36[/tex]
g(f(x))=7x-36
2. This pair applies the same rules as above. To make this response not too long, I won't repeat the explanation from above. I will directly write the steps.
[tex]f(g(x))=(\sqrt{x+2} )^2+1[/tex]
[tex]f(g(x))=x+2+1=x+3[/tex]
f(g(x))=x+3
[tex]g(f(x))=\sqrt{x^{2}+1+2 }[/tex]
[tex]g(f(x))=\sqrt{x^2+3}[/tex]
g(f(x))=√(x²+3)
Find the quotient. 2x − 3 x ÷ 7 x2 A. 7 x(2x − 3) B. 7x 2x − 3 C. 2x − 3 7x D. x(2x − 3) 7
Answer:
D. x(2x − 3)/ 7
Step-by-step explanation:
[tex]To- divide- by -a -fraction, multiply- by -its -reciprocal.\\\frac{2x-3}{x} *\frac{x^{2} }{7} \\Cancel- the- common -factor -of x\\(2x-3)\frac{x}{7}\\ Apply- the- distributive- property.\\2x\frac{x}{7} -3\frac{x}{7}\\ Multiply ; 2x\frac{x}{7}\\ \frac{2x^2}{7} -3\frac{x}{7}\\ Combine -3- and; \frac{x}{7} \\\frac{2x^2}{7} + \frac{-3x}{7}\\ Move- the- negative- in- front -of -the- fraction.\\\frac{2x^2}{7} - \frac{3x}{7} \\Simplify- terms.\\ x\frac{(2x-3)}{7}\\[/tex]
Answer:
8x
Step-by-step explanation:
The formula for the area of a parallelogram is A = bh,
where b is the base and h is the height.
(x-4) cm
(2x2 + 2x-6) cm
(Not drawn to scale)
Answer:
B) 2x³ – 6x² – 14x + 24 square centimetersStep-by-step explanation:
The question is incomplete and lacks the required diagram. Find the diagram attached. Here is also the complete question.
"The formula for the area of a parallelogram is A = bh, where b is the base and h is the height. Which simplified expression represents the area of the parallelogram? –4x3 + 14x – 24 square centimeters 2x3 – 6x2 – 14x + 24 square centimeters –4x3 – 14x + 24 square centimeters 2x3 + 6x2 + 14x + 24 square centimeters"
Area of a parallelogram = Base * Height.
Given the height of the parallelogram = (x-4)cm
Base = (2x² + 2x-6) cm
Area of the parallelogram = (x-4)cm * (2x² + 2x-6) cm
Area of the parallelogram = (x-4)(2x²+2x-6)
Area of the parallelogram = 2x³+2x²-6x-8x²-8x+24
= 2x³+2x²-8x²-6x-8x+24
= (2x³-6x²-14x+24)cm²
Determine the total number of roots of each polynomial function. g(x) = 5x - 12x2 + 3
Answer:
2 total roots
x = -1/3, 3/4
Step-by-step explanation:
We can use the discriminant b² - 4ac to find how many roots a polynomial has.
Answer:
2Step-by-step explanation:
Edginuity 2021
Use the law of sines to complete an expression that represents the angle measure x. Geometry
Answer:
a = 14.9
b = 75
c = 22.5
Step-by-step explanation:
The equation given is just the law of sines converted into terms of x.
1.5x=10.5 missing number
Answer:
7
Step-by-step explanation:
[tex]1.5x = 10.5 \\ x = \frac{10.5}{1.5 } \\ x = 7[/tex]
Hope it helps!
Answer:
7
Step-by-step explanation:
We need to transpose the equation which will give us: x = 10.5 ÷ 1.5
After the division, we get 7
For a check up: 1.5 × 7 = 10.5
Hope this helps and please mark as the brainliest.
A triangle is rotated 90° about the orgin. Which rule describes the transformation
Step-by-step explanation:
If a triangle is rotated 90° about the origin.
The rule that describes the transformation is
(x, y) → (–y, x)
Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that ∠B1 is larger than ∠B2.)
a = 36, c = 48, ∠A = 39°
Find angles; B1, B2, C1, C2
Find sides; b1, b2
Answer:
57.0°, 123.0°
84.0°, 96.0°
56.9,
Step-by-step explanation:
Given:
a = 36, c = 48, ∠A = 39°
∠B1 is larger than ∠B2
Find attached the diagram.
We would apply sine rule to find ∠C
a/sinA = c/sinC
36/sin39° = 48/sinC
36sinC = 48sin39
sinC = 48sin39/36 = 48(0.6293)/36
sin C = 0.8391
C = arcsin(0.8391)
C= 57.045
∠C1 = C = 57.0° (1 decimal place)
For sine rule, angles which give same value are x and (180-x)
If C= x = 57.0°
180-x = 180 - 57.0° = 123°
∠C2 = 123.0°
sin57° = sin123° = 0.8387
∠A + ∠B + ∠C = 180° (sum of angles I'm a triangle)
39.0 + ∠B +57.0 = 180°
∠B = 180-(39+57)
∠B = 84.0°
∠B1 = 84.0°
∠B2 = 180-∠B1 = 180°-84.0°
∠B2 = 96.0°
∠B1 is smaller than ∠B2
b/sinB = c/sinC
b1/sinB1 = c1/sinC1
b/sin84 = 48/sin57
b = 48sin84/sin57
b = 56.9
The measure of C is 57.0 and the measure of B is 84.0 degrees
The given parameters are:
[tex]\mathbf{a = 36cm}[/tex]
[tex]\mathbf{c = 48cm}[/tex]
[tex]\mathbf{\angle A = 39^o}[/tex]
The measure of angle Ais calculated using the following sine formula
[tex]\mathbf{\frac{a}{sin\ A} = \frac{c}{sin\ C}}[/tex]
So, we have:
[tex]\mathbf{\frac{36}{sin\ 39} = \frac{48}{sin\ C}}[/tex]
Evaluate sin 39
[tex]\mathbf{\frac{36}{0.6293} = \frac{48}{sin\ C}}[/tex]
Cross multiply
[tex]\mathbf{sin\ C \times 36 = 48 \times 0.6293}[/tex]
[tex]\mathbf{sin\ C \times 36 = 30.2064}[/tex]
Divide both sides by 36
[tex]\mathbf{sin\ C= 0.8391}[/tex]
Take arc sin of both sides
[tex]\mathbf{C = sin^{-1}(0.8391)}[/tex]
[tex]\mathbf{C = 57.0}[/tex]
The value of B is:
[tex]\mathbf{B = 180 - A - C}[/tex]
So, we have:
[tex]\mathbf{B = 180 - 39 - 57.0\\}[/tex]
[tex]\mathbf{B = 84.0}[/tex]
Hence, the measure of C is 57.0 and the measure of B is 84.0 degrees
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A sequence is defined recursively using the formula . If the first term of the sequence is 120, what is f(5)? −15 −7.5 7.5 15
Answer:
C. 7.5
Step-by-step explanation:
I took the quiz on EDGE
If the first term of the sequence is 120, then f(5) will be 7.5
What is recursively sequence?In mathematics and theoretical computer science, a constant-recursive sequence is an infinite sequence of numbers satisfying a linear recurrence relation: each number in the sequence is equal to a fixed linear combination of one or more of its immediate predecessors. A recursive sequence is a sequence of numbers formed by using previous terms to find the next terms, such as the Fibonacci sequence.How to solve this problem?The steps are as follow:
From the given conditions We knew the sequence is defined by the formula f(n + 1) = - 0.5f(n) and we know f(1) = 120So f(1 + 1) = f(2) = - 0.5f(1) = - 0.5 * 120 = f(2) = - 60Then f(2+1) = f(3) = -0,5 f(2) = -0,5x-60 f(3)=30f(3 + 1) = f(4) = - 0.5f(3) = - 0.5 * 30 = f(4)= -15f(4 + 1) = f(5) = - 0.5f(4) = - 0.5x - 15 = f(5) = 7.5So, f(5) = 7.5So if the first term of the sequence is 120, then f(5) will be 7.5
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pls help with this plsssssss
Answer:
x = 13
Step-by-step explanation:
We know that the angle across from 85° is 85° because of vertical angles. We also know that the 98° also has the same interior angle on the other parallel line because both lines are parallel. We subtract 96 from 180 to find the vertical angle for the right side of the triangle, which comes out to be 82°. Lastly, we solve x + 82 + 85 = 180 and we should get 13 as our answer.
Raj was friends with his waitress so he left her a 90 percent tip.
Percents
90%
10% 10%
Total
100%
10%
10%
10%
10%
10%
10%
10%
10%
10%
х
If his tip was $27.54, what is the value of x in the table above?
$24.48
$24.79
$27.54
$30.60
Mark this and retum
Save and Exit
Next
Submit
Answer:
The bill was 30.60 before tip
Step-by-step explanation:
x * 90 % = 27.54
Change to decimal form
x * .90 = 27.54
Divide each side by .90
x = 27.54 /.90
x =30.60
Answer:
the answer is 30.60
Step-by-step explanation:
lmk if dat right!
Two buses leave Boston at the same time traveling in opposite directions. One bus travels at 53mph and the other at 64mph. How soon will they be 936 miles apart?
Answer:
8 hours
Step-by-step explanation:
because each hour that goes by the buses go a distance of 117 miles apart from each other (53+64) you must divide the total distance by the 117 mph distance for a total of 8 hours (936 / 117 = 8)
Answer:
8 hours
Step-by-step explanation:
Yeah 82,300,000 scientific notation
Answer:
Dear user,
Answer to your query is provided below
82300000 in scientific notation = 8.23 × 10^7.
Step-by-step explanation:
Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.
Answer:
8.23 * 10^7
Step-by-step explanation:
82,300,000
Scientific notation is of the form a * 10 ^b
The number a must be between 1 and less than 10
Move the decimal 7 places to the left b is +7 since we moved to the left
8.23 * 10^7
