After calculation the value is 4.62 * 10⁴ in Scientific Notation.
What are Scientific Notations ?It is a way of presenting very large and small number in simpler and more understandable form.
It is given that
Calculate 3.1 x 10⁸ divided by 6.7 x 10³
[tex]\rm \dfrac{3.1*10^8}{6.7*10^3}\\\\By \;the \;exponent\; theorem\\\\\dfrac{a^m}{a^n} = a ^{m-n}[/tex]
Therefore
0.462 * 10⁵
4.62 * 10⁴
Therefore the answer after calculation is 4.62 * 10⁴ .
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a computer purchased for $2 500 and its value depreciates at 5% per month. a).write the equation that models the situation. explain what each equation represent. b) determine the value of the computer after 2 years. c) in which month after it is purchased does the computer's worth fall below $1 000?
Answer:
a(y=-5x+2500) b(2,380) c(25months)
Step-by-step explanation:
someone point out if I'm wrong. I'm not so sure about "c".
(how I got b)
So 2 years=24 months
y=-5x+2500
So x would be 24.
-5(24)+2500
-120+2500
2,380
Look at the set of quadrilaterals in the coordinate plane shown below.
Which statement is TRUE?
Because quadrilateral ABCD can be reflected across the x-axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
Because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .
Because quadrilateral ABCD can be reflected across the y-axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
Because quadrilateral ABCD can be reflected across the y -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .
Because quadrilateral ABCD can be reflected across the x-axis, then rotated 90° clockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
Because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° clockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .
Because quadrilateral ABCD can be reflected across the line y = x, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.Look at the set of quadrilaterals in the coordinate plane shown below.
Which statement is TRUE?
Because quadrilateral ABCD can be reflected across the x-axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
Because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .
Because quadrilateral ABCD can be reflected across the y-axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
Because quadrilateral ABCD can be reflected across the y -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .
Because quadrilateral ABCD can be reflected across the x-axis, then rotated 90° clockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
Because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° clockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D' .
Because quadrilateral ABCD can be reflected across the line y = x, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 1.5 to obtain quadrilateral A'B'C'D', then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
The true statement about the set of quadrilaterals in the coordinate plane is B. Because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
What is a quadrilateral?A quadrilateral is a polygon having four sides, four angles, and four vertices.
In this case, because quadrilateral ABCD can be reflected across the x -axis, then rotated 90° counterclockwise about the origin, and then dilated about the origin by a scale factor of 2 to obtain quadrilateral A'B'C'D' , then quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
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The interior angles of a pentagon are 126°, 114°, y°, and 83°. Find the value of y°?
please can someone help me with the answer to this question pls
am preparing for my WASSCE(west Africa senior school certificate examination) which is going to be held tomorrow
pls can someone help me
Answer:
217
Step-by-step explanation:
angles in a pentagon =540°
y°+126°+114°+83°=540°
y°+323°=540°
y°=540°-323°
y°=217°
guys pls help me i will give brain list pls help me out
if someone could please help me i will be sending more so plsss i need help
Answer:
200
Step-by-step explanation:
find the sum of 1+2-3+4+5-6+7+8-9+...+97+98-99
Answer:
Hi,
Step-by-step explanation:
Let's make group of 3 numbers
1+2-3=0
4+5-6=3
7+8-9=6
...
97+98-99=96
s=1+2-3+....+97+98-99=0+3+6+..+96=3*(0+1+2+3+...+32)
=3*(32+0)*33/2
=1584
Find the dependent value
for the graph
y = 15 - 3x
when the independent value is 2.
= [?]
The dependent value for the graph given the independent value is 9.
What is the dependent value?
The independent variable is the variable that explains the dependent variable. The dependent variable is the value that the independent variable determines.
The dependent variable is y and the independent variable is x.
y = 15 - 3(2)
y = 15 - 6
y = 9.
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Please Help!!! Two parallel lines are cut by a transversal. What is the measure of 7?
Answer:
D. 77º
Step-by-step explanation:
Because 3 and 7 are corresponding angles and 3 = 77º, 7 also is 77º.
What is the greatest common factor of
15x^7y^5+5x^5y^4-20x^6y
Answer:
5x^5y
Step-by-step explanation:
NEED HELP FAST! will mark Brain if first! Question 5!
Answer:
[tex]\boxed{\sf x = 11.7}[/tex]
[tex]\boxed{\sf b = 9.4}[/tex]
Sine Rule states:
[tex]\sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]
[tex]\hookrightarrow \sf sin(51) = \dfrac{x}{15}[/tex]
[tex]\hookrightarrow \sf x = 15sin(51)[/tex]
[tex]\hookrightarrow \sf x = 11.657 \ \ \approx \quad 11.7[/tex]
Additional, cosine rule:
[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]
[tex]\hookrightarrow \sf cos(51) = \dfrac{b}{15}[/tex]
[tex]\hookrightarrow \sf b = 15cos(51)[/tex]
[tex]\hookrightarrow \sf b = 9.4398 \quad \approx \ \ 9.4[/tex]
A jar has 9 pennies.
3 nickels, 8 dimes, and
5 quarters. A coin is chosen
at random, not replaced
then another is chosen.
Find the probability that
a quarter was chosen
followed by a penny,
Answer:
the answer to this question is 3/40
Step-by-step explanation:
if you want my explanation you ca
The first two boxes I get but the last box I don’t know where to go for it
Answer:
add the size plus
Step-by-step explanation:
Sunday if you add sox
Find the equation of the line in slope-intercept form containing the two points: (−1,5) and )(4,−3) Leave equation in fractional form.
Answer:
y = 1.6x + 3.4
Step-by-step explanation:
We have to use the equation y = m x + c to find the equation of the line.
Here,
m ⇒ slope
c ⇒ y-intercept
First, let us find the slope.
For that, we can use the given two coordinates.
( -1 , 5 ) ⇒ ( x₁ , y₁ )
( 4 , -3 ) ⇒ ( x₂ , y₂ )
The formula to find the slope of a line is :
m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )
Let us solve now.
m = ( y₁ - y₂ ) ÷ ( x₁ - x₂ )
m = ( 5 - ( -3 ) ) ÷ ( -1 - 4 )
m = ( 5 + 3 ) ÷ -5
m = 8 ÷ -5
m = -1.6
Now let us find the y-intercept (c ) of the line.
For that, let us get one of the coordinates which are given in the question.
I'll get ( -1 , 5 ) from that.
( -1 , 5 ) ⇒ ( x , y )
Let us solve now.
y = mx + c
5 = -1.6 × -1 + c
5 = 1.6 + c
5 - 1.6 = c
3.4 = c
Therefore,
m ⇒ -1.6
c ⇒ 3.4
So, the equation of the line is :
y = mx + c
y = 1.6x + 3.4
Angela bought a bookmark in the shape of an arrow as shown below. The base and height of the triangle are both 3 inches.
The area of a 2D form is the amount of space within its perimeter. The area of the arrow is 11.25 in².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
For the given problem, the image is given below.
The area of the arrow is,
Area = Area of rectangle + Area of triangle
= (1.5 in × 4.5 in) + (0.5×3×3)
= 6.75 in² + 4.5 in²
= 11.25 in²
Hence, the area of the arrow is 11.25 in².
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Lily has 655 coins that she wants to divide evenly for her 13 grandchildren.
How many coins will each grandchild receive? Will there be any leftover?
250
Answer:
Step-by-step explanation:
Each grandchild will receive 655/13 = 50 with 5 coins left over. She can keep the 5 coins and start again.
Answer
50 coins for each grandchild5 left over.Answer:
50 coins for each grandchild
5 left over.
Step-by-step explanation:
13x50=650
655-650=5
Question
The function defined by f(t)=12(1+0.03)t can be used to determine the population, in thousands, of a town t years since 1955. According to the function, what was the population of the town in 1955 and what was the percent increase in population from year to year?
Enter a number in each box to correctly complete the sentence.
The population of the town in 1955 was 12 thousand people, and the percent increase in population from year to year was 3%.
How to explain the population?A function assigns the value of each element of one set to the other specific element of another set. The function that gives the population of the town is given.
Since the year 1955 the value of t=0. Therefore, The population of the town in 1955 was 12 thousand. The percentage increase in population from year to year is 3%.
Therefore, the population of the town in 1955 was 12 thousand people, and the percent increase in population from year to year was 3%.
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The mean age of a group of students is 16. John joins the group and the mean age changes to 18. How old is john ?
Answer:
John is 20 years old.
Step-by-step explanation:
Given the second mean is 18, it is equal to the first mean age plus John's unknown age. The sum is also divided by 2 because there are 2 values in the sum (1. John's age and 2. the mean, 16 yrs old).
Set up an equation: [tex]\frac{x+16}{2}=18[/tex]
multiply both sides by 2: [tex]x+16=36[/tex]
simplify: [tex]x=20[/tex]
the number 2.525252.... can be written as a fraction, when reduced to its lowest term, the sum of numerator and denominator is:
Answer:
Here's your answer.
Let the number be x.
Here we have to multiply with 100 on both sides.
[tex] \implies \: 100x = 252.5252 \\ \\ \implies \: 100x = 250 \ + 2.5252... \\ \\ \implies \: 100x = 250 + x \\ \\ \implies \: 99x = 250 \\ \\ \implies \: x = \frac{250}{99} [/tex]
Therefore, sum of numerator and denominator = 25099 = 349
Hope it helps you from my sideAnswer:
349
Step-by-step explanation:
2.525252.... is a non-terminating and recurring number.2.525252.... can be expressed as [tex]2.\overline {52}[/tex]Now, we convert [tex]2.\overline {52}[/tex] as a fractional number. Lets start.[tex]Let \: x =2.\overline {52}[/tex]........(1)Multiply both sides of eq (1) by 100, we find:[tex]100x =252.\overline {52}[/tex]........(2)Subtracting (2) from (1)[tex]100x -x=252.\overline {52}-2.\overline {52}[/tex][tex]\implies 99x=250[/tex][tex]\implies x=\frac{250}{99}[/tex]Numerator = 250Denominator = 99 Sum of numerator and denominator = 250 + 99 = 349Question 7 of 25
All else being equal, a study with which margin of error would give you the
most confidence in the results?
O A. 13 percentage points
OB. +12 percentage points
OC. 19 percentage points
OD. 16 percentage points
SUBMIT
Answer:
+12 percentage points
Step-by-step explanation:
All options have positive percentage in themselves
So lesser marginal error should be more applicable as lower the marginal errors lower the probability of doing mistakes so higher marks .
Option B
help help help help help
evaluate for f(6), show all work
Answer:
32
Step-by-step explanation:
f(6)=6^2-4
f(6)=36-4
f(6)=32
Answer:
f(6)=32
Step-by-step explanation:f(6)=6^2 -4
f(6)=36-4
f(6)=32
could someone pleasee help me will give brainliest
What is the area of a rectangle with a length of 3in and a with of 5 square root of 2
Answer:
The area of the rectangle = 15√2 in²
Step-by-step explanation:
What is the area of a rectangle with a length of 3in
and a width of 5√2.
……………………………………………
FORMULA :
area of a rectangle = length × width
===============================
Then
The area of the rectangle = 3 × 5√2 = 15√2
What is the area of the circle
Answer:
201.062in²
Step-by-step explanation:
area for formula of a circle
[tex] {r}^{2} \pi[/tex]
we can now plug in the radius to solve
[tex] {8}^{2} \pi \\ 64\pi \\ 201.062[/tex]
that is the answer
- kan Academy Advance
Why is P(A) •P(B/A) = P(B) • P(A/B)
HELP ME QUICK ASAP
Answer:
rawrrrrrrrrrrrrrrrrr
Step-by-step explanation:
Why is P(A) •P(B/A) = P(B) • P(A/B)
P/B + P = A
P/B/P
- A
Which of the following expressions is equivalent to 14xy – 28x – 36y + 48? 2(7x – 6)(y – 2)(3y + 4) 2(7x – 6)(y – 2)(3y – 4) 2[7x(y – 2) – 6(3y – 4)] 2[7x(y – 2) – 6(3y + 4)]
The expression that is equivalent to 14xy – 28x – 36y + 48 is 2[7x(y-2)-6(3y-4)]
Factorizing expressionsFactorization is a way of separating the equations into two separate factors.
Given the expression below;
14xy – 28x – 36y + 48
Group
(14xy – 28x) – (36y + 48)
14x(y - 2) - 12(3y-4)
Factor out the value of 2 from both terms
2[7x(y-2)-6(3y-4)]
Hence the expression that is equivalent to 14xy – 28x – 36y + 48 is 2[7x(y-2)-6(3y-4)]
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Answer:
2[7x(y – 2) – 6(3y – 4)]
Step-by-step explanation:
I got it right on the test.
what is the product of the binomals below (2x+3) (3x+3)
Answer:
[tex]3*(2x+3)*(x+1)[/tex]
Step-by-step explanation:
pull like terms from the problem to re-arrange it into a product
[tex]\left(2x+3\right)\left(3x+3\right)\\3x + 3 = 3 \cdot (x + 1)\\3 \cdot (2x + 3) \cdot (x + 1)\\[/tex]
Suav left his house at time zero and drove to the store, which is 8 blocks away, at a speed of 4 blocks per minute. Then he stopped and went into the store for 2 minutes. From there, he drove in the same direction at a speed of 4 blocks per minute until he got to the bank, which is 16 blocks away from the store. He stopped at the bank for 4 minutes. Then he drove home at a speed of 6 blocks every minute. Make a graph of showing the number of blocks away from home that Suav is xx minutes after he leaves his house, until he gets back home.
The graph for Suav's trip is attached along with the values derived from the information provided.
What is the explanation for the graph?The key to understanding the graph is that every time spent while he was on the way to the back and back are all added cumulatively.
So when he stops at the store which is 8 blocks away from home, the time spent is recorded as 4 + 2 at location 8 blocks.
It is also to be noted that the time spent is plotted on the x-axis and the blocks away from home on the y-axis.
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Which of the following is the graph of y = sine (4 (x minus pi))?
Answer:
Below is an array showing the x values, and phase shifts that occur in the graph of the equation.
[tex]~~~~~x~~~~f(x)\\\\\left[\begin{array}{cc}\pi &0 &\frac{9\pi }{8} &1\\\frac{5\pi }{4} &0&\frac{11\pi }{8} &-1&\frac{3\pi }{2}&0 \end{array}\right][/tex]
Answer:
Graph A
Step-by-step explanation:
Got 100% on edge
Multiple 4 by w then subtract v from the result
Answer:
4w-v
Step-by-step explanation:
Let the number be w.
Multiplying by 4:
4wSubtracting v,
4w-vEmi computes the mean and variance for the population data set 87, 46, 90, 78, and 89. She finds the mean is 78. Her steps for finding the variance are shown below.
What is the first error she made in computing the variance?
Emi failed to find the difference of 89 - 78 correctly.
Emi divided by N - 1 instead of N.
Emi evaluated (46 - 78)^2 as -(32)^2.
Emi forgot to take the square root of -135.6.
The error she made is Emi evaluated (46-78)² as - (32)² is wrong.
What is variance?Variance is calculated as the average of squared differences of the data observations from the mean.
Given data: 87, 46, 90, 78, and 89.
Here, the first Emi find the difference of 89 - 78 correctly.
Now, Emi division is also correct.
Now, Emi evaluated (46 - 78)^2 as -(32)^2 is wrong.
(46-78)² = (-32)²
Here she used the negative sign outside.
Hence, Emi evaluated (46 - 78)^2 as -(32)^2 is wrong.
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Answer:
C.) Emi evaluated (46 - 78)2 as -(32)2.
Step-by-step explanation: