The expression (6.4 × 10³) ÷ (3.2 × 10²) can be simplified to 0.2 × 10² in scientific notation.
What is the Scientific Notation?Scientific Notation is a way of writing down in the easy form of very large or very small numbers.
To evaluate this expression, you can first divide the numerator by the denominator:
(6.4 × 10³) ÷ (3.2 × 10²) = (6.4 / 3.2) × (10³ / 10²)
Next, you can simplify the fraction in the numerator:
(6.4 / 3.2) × (10³ / 10²) = 2 × (10³ / 10²)
Finally, you can simplify the fraction in the exponent:
2 × (10³ / 10²) = 2 × 10¹
2 × 10 = 20 = 0.2 × 10²
Therefore, in scientific notation, the expression (6.4 × 10³) ÷ (3.2 × 10²) can be written as 0.2 × 10².
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What is the value of h(2)? -2 -1 0
3
Answer:
The answer is 0
Step-by-step explanation:
Or c on edge.
If f(x) = 4x^3 + 5, then what is the remainder when f(x) is divided by x-3?
Answer:
4, 5 is the point and I don't think there is a remainder
Step-by-step explanation:
The remainder when f(x) = 4x³ + 5 is divided by x - 3 the remainder is 113.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, f(x) = 4x³ + 5 now dividing f(x) by x - 3 = 0 ⇒ x = 3 is the same as replacing x with 3 in f(x).
∴ f(3) = 4(3)³ + 5.
f(3) = 4(27) + 5.
f(3) = 108 + 5.
f(3) = 113.
So the remainder when f(x) = 4x³ + 5 is divided by x - 3 the remainder is 113.
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Alexander invested $320 in an account paying an interest rate of 1.5% compounded annually. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 18 years?
Answer:
$406.40
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 1.5%/100 = 0.015 per year.
Solving our equation:
A = 320(1 + (0.015 × 18)) = 406.4
A = $406.40
A police officer recorded the speeds of 100 cars in a 50-mile-per-hour zone. The results are in the box plot shown. How many cars were going between 40 and 48 miles per hour? I know the answer but I need to know how to do it
Answer: 25 cars
Step-by-step explanation:
This is a box plot and it is a useful graph for showing the minimum, maximum, median and quartile values of a data distribution.
The box you see in the middle is the Interquartile range. In other words, the first line on the box is Q1 and the line at the end of the box is Q3.
The line in the middle of the box is the median or Q2.
The distance between Q1 and the median is 25%.
The number of cars between 40 and 48 miles per hour is therefore 25% of the total.
= 100 * 25%
= 25 cars
Answer:
25 cars
Step-by-step explanation:
Took the diagnostic
Find the value of x.
9514 1404 393
Answer:
(b) 48
Step-by-step explanation:
In this geometry, the altitude (x) is the root of the product of the segments of the hypotenuse.
x = √(36·64) = √36×√64 = 6×8
x = 48
_____
All of the triangles are similar, so the ratios of corresponding sides are the same.
short side/long side = x/64 = 36/x
x^2 = (64)(36) . . . . as above
The first lap of an auto race is 2,500 meters. This is 10% of the total race distance. What is the total race distance?
Answer:
25,000
Step-by-step explanation:
.10(x) = 2,500
X = 2,500/(.10)
X=25,000
The length of the total race track is 25000 meters.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Let, 'x' be the total distance.
Therefore, From the given information 10% x is 2500 meters, This can be numerically expressed as,
(10/100)×x = 2500.
0.1x = 2500.
x = 25000.
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if you had a score of 60% how many marks out of 150 did he obtain
Answer:
90
Step-by-step explanation:
60/100=x/150
180/300=2x/300
2x=180
x=90
Answer:
90 marks
Step-by-step explanation:
10 % of 150 is 15
multiply that by 6
60% of 150 is 90
find the equation of the line. use exact numbers.
16c^2+ 18c+5
Factor Each Trinomial.
Answer:
(2c +1)(8c+5)
Step-by-step explanation:
I got my answer based off how i understood the problem.
1/6 x 8 + 2/3 x 9/8 =
Answer:
A
Step-by-step explanation:
do the multiplication first
Answer:
25 /12
Step-by-step explanation:
its the first one.
I did it on math_way
3x + 1 = 10
Show work
Answer:
x = 3
Step-by-step explanation:
3x + 1 = 10
subtract 1 from both sides of the equation
3x + 1 - 1 = 10 - 1
3x = 10 - 1
3x = 9
divide both sides of the equation by 3
3x/3 = 9/3
x = 9/3
x = 3
Answer:
X=3
Step-by-step explanation:
3x+1=10 -> switch 1 3x = 10 - 1
3x = 9
9/3 = 3
An equation is shown 3/5k=225. what is the value for k that makes the equation true?
Answer:
.0024
Step-by-step explanation:
3 = 225 x 5k
3/255 = 5k
5k = 0.117
k=0.0024
HELP DUE in 20 MIN
m∠10 =
Answer:
Angle 1, 4, 5,7,10,12,13,15 : 133°
Angle 2,3,6,8,9,11,14,16 :47°
Step-by-step explanation:
Answer:
133°Step-by-step explanation:
∠10 = 180° - ∠9∠9 ≅ ∠6 ≅ ∠2 = 47°So
∠10 = 180° - 47° = 133°Select the correct answer from each drop-down menu.
1_____ × 10-3 is 2,000 times greater than 1.9 × 10-6. It is also
2_____ times greater than 9.5 × 10-4.
Answer:
Well, 1 is 3.8 The second one is 40,
Step-by-step explanation:
I believe 1 is 3.8, b/c 1.9*2 is 3.8, and the difference between exponents makes 3 zeros, so 2000.
The second one is 40, I confirmed this by doing .0001 to replicate 10 to the negative 4th power
By doing 9.5*.0001*40, I got the 0.038 from 1
Answer:
3.8 × 10-3 is 2,000 times greater than 1.9 × 10-6. It is also 4 times greater than 9.5 x 10-4.
Step-by-step explanation:
I started by doing 0.0000019 x 2000 and got 0.0038. If you move the decimal point 4 over you get 3.8.
EVERYONE ELSE IS WRONG!!! I got this correct on the test after retaking it, the second one is NOT 40 it is 4.
Decimal or fraction form round all the way!
Answer:
The answer to the question provided is
[tex] \frac{1}{4} [/tex]
Write an expression of the perimeter of the rectangle.
help asap
If m<10=75, m<7=46 and m<16=136, find the measure of each missing angle.
Answer:
See answers below:
Step-by-step explanation:
Using corresponding angles properties, angles opposed by the vertex, and supplementary angle properties, we get:
<1 = 75 degrees
<2 = 105 degrees
<3 = 44 degrees
<4 = 136 degrees
<5 = 44 degrees
<6 = 90 degrees
<7 = 46 degrees
<8 = 75 degrees
<9 = 105 degrees
<10 = 75 degrees
<11 = 59 degrees
<12 = 46 degrees
<13 = 75 degrees
<14 = 105 degrees
<15 = 44 degrees
<16 = 136 degrees
<17 = 44 degrees
<18 = 136 degrees
what is the GCF of 6n^3, 18n^4, 36n^2
Answer:
6n^2 or 6n squared
Step-by-step explanation:
To find the greatest common factor we have to first find out all the factors for every other number.
Factors - Numbers you can multiply to find that number.
For example, we have 6n^3 what numbers can be multiplied to find that number?
WILL GIVE BRAINLIEST TO CORRECT ANSWER!!
Answer:
Intersecting: y = 8x + 10, y = -1/8x + 10 (f, g)
Parallel: x + y = 5, 7x + 7y = 14 (eq2, eq3); y = 2x + 8, -y = -2x + 6 (p, eq4)
Perpendicular: y = 8x + 10, y = -1/8x + 10 (q, r); 4x + 10y = 6, y = 5/2x + 7 (eq1, h).
None go under Same.
Step-by-step explanation:
In case you're confused:
The line labeled f goes with g. The line labeled q goes with r.
(f, g) is red.
(eq1, h) is orange.
(eq2, eq3) is yellow.
(p, eq4) is green.
(q, r) is blue.
All lines are in the attachment below.
I'll give brainliest to whoever answers first
Answer:
5) 6
6)-70
7)5
8)-295
9)1
10)4
Step-by-step explanation:
5)10-4=6
6)-3(-5)^2+5=-70
7)-3(0)^2+5=5
8)-3(10)^2+10=-295
9)1/5=0.2
0.2(-5)+2=1
10)0.2(10)+2=4
Write an equation and solve. Round to the nearest hundredth where necessary.
16 is what percent of 32?
A.) 16 = n • 32; 55%
B.) 16 = n • 32; 50%
C.) 32 = 16 • n; 2%
D.) 32 = 16 • n; 42.5%
please help im stuck on this question and its due for tomorrow please help!
rearrange y= 1/3x+1 to make x the subject
please help ill be very grateful tysm x
9514 1404 393
Answer:
x = 3(y -1)
Step-by-step explanation:
In this, and any, "solve for ..." situation, you want to first take a look at where the variable of interest is in the equation, and what has been done to it.
Here, x is on the right side (only). It has these operations done to it:
multiplied by 1/31 added to the productYou solve for x by undoing these operations, in reverse order. As always, with any equation, you do the same thing to both sides of the equation.
__
First, we will undo "add 1". We do that by adding the opposite of 1.
y -1 = 1/3x +1 -1 . . . . . -1 added (to both sides)
y -1 = 1/3x . . . . . . . . . simplify
To undo the "multiply by 1/3", we can multiply by the "multiplicative inverse" (reciprocal) of 1/3. That is, we want to multiply by 3.
3(y -1) = 3(1/3x) . . . . . multiply (both sides) by 3
3(y -1) = x . . . . . . . . . simplify
We can leave it like this.
x = 3(y -1)
Or, we can eliminate parentheses using the distributive property .
x = 3y -3
These are completely equivalent equations with x as the subject.
Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards, as shown in the diagram. What is the length of the diagonal, in yards, that Tanya runs?
Answer:
70 besarse you have to add
One batch of cookies requires two eggs and two and a half cups of flour. How many cups of flour are needed to make three and a half batches of Cooke's?
Answer:
7 1/2
Step-by-step explanation:
evaluate the expression x+4x-3+3x^2-2x when x = 5
Given:
The expression is
[tex]x+4x-3+3x^2-2x[/tex]
To find:
The value of given expression when x=5.
Solution:
We have,
[tex]x+4x-3+3x^2-2x[/tex]
Substituting x=5 in the above expression, we get
[tex]=(5)+4(5)-3+3(5)^2-2(5)[/tex]
[tex]=5+20-3+3(25)-10[/tex]
[tex]=5+20-3+75-10[/tex]
On further simplification, we get
[tex]=(5+20+75)+(-3-10)[/tex]
[tex]=100+(-13)[/tex]
[tex]=100-13[/tex]
[tex]=87[/tex]
Therefore, values of the given expression at x=5 is 87.
If M is the midpoint of AB, A(-3, 4) and M(-1, 2) find the coordinates
of B.
Answer:
B(1,0)
Step-by-step explanation:
The midpoint of (a,b) and (c,d) is ((a+c)/2,(c+d)/2)
Essentially, you just average the x and y values.
So, the average of -3 and b_x is -1.
The average of 4 and b_y is 2.
So x=1 and y=0
please help nobody's been answering this is urgent!!!
find the value of x and y
Answer:
Step-by-step explanation:
Set 5x+6 equal to 7x+4 and solve for x
x=1
11+y+6=180
y=180-17 which you know
31 29 33 37 43 38 33 40
What is the mode of these numbers
Answer:
33 is the mode of these numbers.
Step-by-step explanation:
The only number which appears multiple times is 33, so it is the mode.
I hope it helps ❤❤
I need help. Please anyone help :D
Answer:
I say 1. and 2
Step-by-step explanation:
Have a good day :3
What is the solution to the system of equations?
4x-5y=-2
X=15-4y
34. This is because you can just use a calculator