The value of the expressions (3.683 × 10⁴) and (7.51 × 10¹²) in scientific notation is 4.9041 × 10⁻⁹. Then the correct option is B.
What is division?The division means the separation of something into different parts, sharing of something among different people, places, etc.
The expressions are (3.683 × 10⁴) and (7.51 × 10¹²).
We have to divide (3.683 × 10⁴) from (7.51 × 10¹²).
[tex]\dfrac{3.683 * 10^4}{7.51*10^{12}}\\\\0.4904*10^{-8}\\\\4.9041*10^{-9}[/tex]
More about the division link is given below.
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You are considering leasing a store site that has 1,500 square feet. The landlord is asking for a rent of $50 per square foot, per year. How much is the rent per year
Answer:
Ok, so for this, you just need to multiply
The final answer: It costs $75,000 for the rent per year.
Step-by-step explanation:
1,500 x 50 = 75,000
(it says per square foot, look carefully, so multiplying would be correct)
If you answer all of them correctly and no mistake, I'm giving you brainliest plus its due tomorrow so answer this if your a genius. I've been struggling with this for 10 hours straight and plus theres like a bunch of more problems to go I'm like at 71 percent and now I need help on this please people I'm begging you.
Answer:
[tex]\textsf{c)} \quad |3x+12|=\begin{cases}3x+12 \; &\text{if}\;x > -4\\0 \; &\text{if} \; x=-4\\-3x-12\; &\text{if}\;x < -4\end{cases}[/tex]
[tex]\textsf{d)} \quad |(x-19)+11|=\begin{cases}x-8\; &\text{if}\;x > 8\\0 \; &\text{if} \; x=8\\8-x \; &\text{if}\;x < 8\end{cases}[/tex]
[tex]\textsf{e)} \quad |14-(x-6)|=\begin{cases}x-20 \; &\text{if}\;x > 20\\0 \; &\text{if} \; x=20\\20-x \; &\text{if}\;x < 20\end{cases}[/tex]
[tex]\textsf{f)} \quad |14-(6-x)|=\begin{cases}x+8 \; &\text{if}\;x > -8\\0 \; &\text{if} \; x=-8\\-x-8 \; &\text{if}\;x < -8\end{cases}[/tex]
Step-by-step explanation:
The absolute value parent function, f(x) = | x |, is defined as:
[tex]f(x)=\begin{cases}x \; &\text{if}\;x > 0\\0 \; &\text{if} \; x=0\\-x\; &\text{if}\;x < 0\end{cases}[/tex]
Therefore:
The slope of the line where x > 0 is positive.The slope of the line where x < 0 is negative.Its graph is V-shaped and has the following properties:
The x-intercept and y-intercept are at the origin (0, 0).The vertex is at the origin (0, 0).The axis of symmetry is x = 0 (y-axis).The domain is the set of all real numbers: (-∞, ∞).The range is the set of all real numbers greater than or equal to 0: [0, ∞).Part (c)Given absolute value expression:
[tex]|3x+12|[/tex]
Simplify the given expression:
[tex]\implies |3x+12|=|3(x+4)|=3|x+4|[/tex]
Set the simplified absolute value expression to zero and solve for x:
[tex]\begin{aligned}\implies 3|x+4|&=0\\|x+4|&=0\\x+4&=0\\x&=-4\end{aligned}[/tex]
Therefore, the vertex of the graph of the given absolute expression is (-4, 0).
Therefore, the slope of the expression will be positive for values of x greater than -4, and negative for values of x less than -4. Set the expression inside the absolute value sign to positive and negative to find the two expressions with positive and negative slopes:
[tex]\textsf{Positive slope}: \quad +(3x+12) =3x+12[/tex][tex]\textsf{Negative slope}: \quad -(3x+12) =-3x-12[/tex][tex]|3x+12|=\begin{cases}3x+12 \; &\text{if}\;x > -4\\0 \; &\text{if} \; x=-4\\-3x-12\; &\text{if}\;x < -4\end{cases}[/tex]
Part (d)Given absolute value expression:
[tex]|(x-19)+11|[/tex]
Simplify the given expression:
[tex]|(x-19)+11|=|x-19+11|=|x-8|[/tex]
Set the simplified absolute value expression to zero and solve for x:
[tex]\begin{aligned}\implies |x-8|&=0\\x-8&=0\\x&=8\end{aligned}[/tex]
Therefore, the vertex of the graph of the given absolute expression is (-8, 0).
Therefore, the slope of the expression will be positive for values of x greater than 8, and negative for values of x less than 8. Set the expression inside the absolute value sign to positive and negative to find the two expressions with positive and negative slopes:
[tex]\textsf{Positive slope}: \quad +(x-8) =x-8[/tex][tex]\textsf{Negative slope}: \quad -(x-8) =-x+8=8-x[/tex][tex]|(x-19)+11|=\begin{cases}x-8\; &\text{if}\;x > 8\\0 \; &\text{if} \; x=8\\8-x \; &\text{if}\;x < 8\end{cases}[/tex]
Part (e)Given absolute value expression:
[tex]|14-(x-6)|[/tex]
Simplify the given expression:
[tex]|14-(x-6)|=|14-x+6|=|20-x|[/tex]
Set the simplified absolute value expression to zero and solve for x:
[tex]\begin{aligned}\implies |20-x|&=0\\20-x&=0\\x&=20\end{aligned}[/tex]
Therefore, the vertex of the graph of the given absolute expression is (20, 0).
Therefore, the slope of expression will be positive for values of x greater than 20, and negative for values of x less than 20. Set the expression inside the absolute value sign to negative and positive to find the two expressions with positive and negative slopes:
[tex]\textsf{Positive slope}: \quad -(20-x) =-20+x=x-20[/tex][tex]\textsf{Negative slope}: \quad +(20-x) =20-x[/tex][tex]|14-(x-6)|=\begin{cases}x-20 \; &\text{if}\;x > 20\\0 \; &\text{if} \; x=20\\20-x \; &\text{if}\;x < 20\end{cases}[/tex]
Part (f)Given absolute value expression:
[tex]|14-(6-x)|[/tex]
Simplify the given expression:
[tex]|14-(6-x)|=|14-6+x|=|x+8|[/tex]
Set the simplified absolute value expression to zero and solve for x:
[tex]\begin{aligned}\implies |x+8|&=0\\x+8&=0\\x&=-8\end{aligned}[/tex]
Therefore, the vertex of the graph of the given absolute expression is (-8, 0).
Therefore, the slope of expression will be positive for values of x greater than -8, and negative for values of x less than -8. Set the expression inside the absolute value sign to positive and negative to find the two expressions with positive and negative slopes:
[tex]\textsf{Positive slope}: \quad +(x+8) =x+8[/tex][tex]\textsf{Negative slope}: \quad -(x+8) =-x-8[/tex][tex]|14-(6-x)|=\begin{cases}x+8 \; &\text{if}\;x > -8\\0 \; &\text{if} \; x=-8\\-x-8 \; &\text{if}\;x < -8\end{cases}[/tex]
A box is filled with 4 red crayons, 8 blue crayons, and 2 yellow crayons.
A crayon is chosen at random from the box. Find the probability that it is a red or a yellow crayon.
Write your answer as a fraction in simplest form.
음
Х
?
Answer:
3/7
Step-by-step explanation:
there are a total of 14 crayons in the box.
The probability of choosing a red crayon is 4/14 and the probability of choosing a yellow crayon is 2/14
The probability of choosing either red or yellow is the sum of those two fractions which gets you 6/14 which equals 3/7
Find the measure of angle b.
Answer:
145°
Step-by-step explanation:
180° - 35°
Find the perimeter of the rectangle, in yards.
Rectangle with four different length sides: twelve and five sixths yards, ten and one third yards, twelve and five sixths yards, ten and one third yards.
46 2/3 yds.
46 1/3 yds.
46 1/4 yds.
46 1/2 yds.
The perimeter of the rectangle is 46[tex]\frac{1}{3}[/tex] yds.
What is a perimeter?Perimeter is the total distance around an object.
To calculate the perimeter of the rectangle, we use the formula below.
Formula:
P = 2(l+w).................. Equation 1Where:
P = Perimeter of the rectanglel = length of the rectanglew = width of the rectangle.From the diagram in the question,
Given:
l = 12[tex]\frac{5}{6}[/tex] yds = 77/6 ydsw = 10[tex]\frac{1}{3}[/tex] yds = 31/3 yds.Substitute these values into equation 1
P = 2[(77/6)+(31/3)]P = 2[(77+62)/6]P = 139/3P = 46[tex]\frac{1}{3}[/tex] yds.Hence, The perimeter of the rectangle is 46[tex]\frac{1}{3}[/tex] yds.
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Please help I will give brainliest.
Answer:
C&E
Step-by-step explanation:
Answer:
C and E
Step-by-step explanation:
given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 ) , then
• if a > 0 then the graph opens upward
• if a < 0 then the graph opens downward
----------------------------------------------------------------
A y = - x² + 9x with a < 0 then opens downward
B y = 10x - 5x² with a < 0 then opens downward
C y = (2x - 1)² = 4x² - 4x + 1 with a > 0 then opens upward
D y = (1 - x)(2 + x) = 2 - x - x² with a < 0 then opens downward
E y = x² - 8x - 7 with a > 0 then opens upward
One ferret digs 465 cubic centimeters of soil from a burrow on 5 minutes. Based on this digging rate, write an equation that can be used to predict the amount of soil,s,in cubic centimeters the ferret can dig from a burrow in m minutes
The equation that represents the amount of soil, s in cubic centimeters the ferret can dig from the burrow in m minute is as follows:
s = 93m
One of the ferrets digs 465 cubic centimeters of soil from a burrow in 5 minutes.
The digging rate can be calculated as follows;
What is rate?A rate is a ratio between two related quantities in different units. Therefore,
rate = 465 / 5 = 93 cubic centimetres per minutes.
Therefore, the equation that represents the amount of soil, s in cubic centimeters the ferret can dig from the burrow in m minute is as follows:
s = 93mlearn more on equations here: https://brainly.com/question/25817842
Point P′(5, −4) is the image of point P(2, 3) under a translation. What is the image of (6, −2) under the same translation?
Answer:
(9, - 9 )
Step-by-step explanation:
P (2, 3 ) → P' (5, - 4 )
2 → 5 in the x- direction is + 3
3 → - 4 in the y- direction is - 7
translation rule is then (x, y ) → (x + 3, y - 7 ) , so
(6, - 2 ) → (6 + 3, - 2 - 7 ) → (9, - 9 )
Prove that the diagonals of rhombus are perpendicular to each other.
Step-by-step explanation:
given : ABCD is a rhombus; AC and BD intersect at E to prove AC and BD in rhombus , ABCD, AC and BD intersect each other at E . given angle ABE and angle ADE
find the midpoint of a segment with endpoints A(3,4) and B(-1,2)
On a map, 1 inch equals 15 miles. Two cities are 8 inches apart on the map. What is the actual distance between the cities?
Answer:
120 miles
Step-by-step explanation:
15 x 8 = 120 miles
how many solutions does the equation 6(x+2)=3(2x+3) have?
Answer:
no solution
Step-by-step explanation:
6(x+2)=3(2x+3)
6x + 12 = 6x + 9
0 = -3
no solution when there are different numbers on either side of the equal sign
infinite is when there is the same number on either side of the equal sign like 0 = 0
What is the sample? all state households 1565 households surveyed 1127 households that owned televisions
A sample is a group of persons or items collected or selected from a statistical population. The sample is 1127 households that owned a television.
What is a sample?A sample is a group of persons or items collected or selected from a statistical population by a predetermined approach in statistics and quantitative research methods. Sample points, sampling units, and observations are terms used to describe the components of a sample.
We know that sample is a group of people selected from the population, since there are 1565 state households, while there are 1127 households that owned television and who are surveyed. Therefore, the sample is 1127 households that owned a television.
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Find the value of 9x + 2 given that -5x-3=2
[tex]-5x-3 = 2\\-5x=5\\x = -1[/tex]
Now plug the x value into 9x + 2
[tex]9(-1)+2) = -7[/tex]
Hope that helps!
Which represents the solution set of 5 (x 5) less-than 85.
Answer:
1
Step-by-step explanation:
Answer:
A, x < 12
Step-by-step explanation:
edge
Can someone help me please???
Brainlyest if you can help me lol.
No links please
Part A: The sun produces 3.9 • 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 2.45 • 105 seconds? (5 points)
Part B: Which is the more reasonable measurement of the distance between the tracks on a DVD:
7.4 • 10–4 mm or 7.4 • 104 mm? Justify your answer. (5 points)
#A
Produces per second:-=3.9×10^33ergsProduced energy
[tex]\\ \rm\Rrightarrow 3.9(10^33)(2.45)(10^5)=9.56(10^38) ergs[/tex]
#B
7.4×10^4mm
shorter is more preferable
Find the Highest Common Factor (HCF) of 18, 36 and 120.
The Highest Common Factor (HCF) of 18, 36 and 120 is 6.
What are factors?A factor is a number that divides another number, leaving no remainder.
Given that, we need to find HCF of 18, 36 and 120.
Finding Factors :-
18 = 2 × 3 × 3
36 = 2 × 2 × 3 × 3
120 = 2 × 2 × 2 × 3 × 5
Common factors = 2 and 3
Therefore,
Highest Common Factor = 2 × 3 = 6
Hence, the Highest Common Factor (HCF) of 18, 36 and 120 is 6.
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An angle measures 66.4º more than the measure of its complementary angle. What is the
measure of each angle?
o and
o
Answer:
11.8° and 78.2°
Step-by-step explanation:
let the angles be x and x + 66.4
complementary angles sum to 90° , then
x + x + 66.4 = 90
2x + 66.4 = 90 ( subtract 66.4 from both sides )
2x = 23.6 ( divide both sides by 2 )
x = 11.8 and
x + 66.4 = 11.8 + 66.4 = 78.2
The 2 angles are 11.8° and 78.2°
Will mark brainleist!! PLEASE HELP!! Image provieded Please help me please What type of angles are ∠2 and ∠5
?
Question 1 options:
adjacent angles
alternate exterior angles
alternate interior angles
corresponding angles
none of these
Answer:
corresponding angles . the answer
Answer:
corresponding angles
Step-by-step explanation:
its called the corresponding angles and are equal value
SCALE DRAWING: An architect made this drawing to represent a
swimming pool. The actual length of the pool is 15 ft. What is the
actual width of the pool shown in the model.
O 20 Feet
O 12 Feet
O 60 Feet
O 15 Feet
Answer:
12ft.
If the real length was 15 but is 5 down in the drawing that means the scale is 3ft to every inch. (15/5 =3).
With that said the width of the drawing is 4 inches. 4 x 3 = 12..
The width of the real pool would be 12 ft.
What does the word credit mean in the context of this personal bank
statement?
11
of P 00000
was
made at Signet Blue on the
Credit is the money you borrow from the bank. and you need to pay in time with interest.
The equation of a straight line passing through the point (0 2) which is perpendicular to the line y=1/4x+5
Answer: y=-4x+2
Step-by-step explanation:
If the value of "y" varies directly with "x" and y = 6 when x = -2, find "y" when x = 8. Direct Variation Equation: y = kx
First, we'll solve for "k", the constant of variation. What value should we input for "y" in the equation?
A) 6
B) -2
C) 8
Answer:
to solve for k we will put y=6
please hellllllllllp??!
Answer:
B
Step-by-step explanation:
if angle A. and angle B are supplementary
the sum of 2angles ,
angle A + angle B =180 ,
if angle A is less than the angle B
in mathematics form,
let's angle A=X and angle B =X-40
then
angle A+ angle B =180
or, X+ (X - 40)=180
or, 2X=220
or, X=110
What is (672)x(755)-5
3x+8=2x+21
X=?
(all working out needed)
Answer:
x=13
Step-by-step explanation:
3x=2x+21−8
3x=2x+13
3x−2x=13
x=13
Answer:
x = 13
Step-by-step explanation:
3x + 8 = 2x + 21
x + 8 = 21
x = 13
1. The ratio (10^2000+10^2002) : (10^2001+10^2001)is closest to which whole number?
Answer:
5
Step-by-step explanation:
The whole number obtained as the result of the ratio (10²⁰⁰⁰⁰+10²⁰⁰²) : (10²⁰⁰¹+10²⁰⁰¹) is 5.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers. Comparing two numbers by dividing them is how ratios work. Your formula would be A/B if you were contrasting one data point (A) with another data point (B).
It is given that the ratio is,
(10²⁰⁰⁰⁰+10²⁰⁰²) : (10²⁰⁰¹+10²⁰⁰¹)
We have to apply the arithmetic operation for the given ratio in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
[tex]=\frac{10^{2000}+10^{2002}}{10^{2001}+10^{2001}} \\\\ =\frac{10^{2000}(1+100)}{10^{2000}(10+10)} \\\\ =\frac{101}{20} \\\\=5[/tex]
Thus, the whole number obtained as the result of the ratio (10²⁰⁰⁰⁰+10²⁰⁰²) : (10²⁰⁰¹+10²⁰⁰¹) is 5.
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I need help please help
Step-by-step explanation:
remember the definitions of these 2 types of numbers ?
rational numbers are all numbers that can be written as
a/b
where a and b are integers, and b <> 0.
this includes all real fractions, but also all whole or integer numbers, as they can be written as a/1.
if they have digits after the decimal point, they are either finite, or they have a repeating pattern for all eternity.
irrational numbers are all numbers with an infinite series of digits after the decimal point without any repeating patterns.
that includes all squares roots of non-squared numbers or any other roots of numbers that are not the product of correspondingly many multiplications with themselves. and trigonometric function and logarithm results, and the special numbers in math and physics : pi and e.
so,
4/7 is rational
sqrt(30) is irrational
21/sqrt(4) is a trick question, as sqrt(4) = 2.
so, this is actually
21/2 is rational
pi is irrational
-27 = -27/1 is rational
Grant worked 6 hours and packed 96 cartons of books. At this rate, how many cartons can he pack in 10 hours?
Answer:
160
Step-by-step explanation:
First, create an equation to show the number of books per hour.
6x=96
Divide each side by 6
x=16
Then, multiple 16 by 10 to get the total cartons packed in 10 hours.
16x10=160
a rectanglar field has a length of 7m and a with of 8m . lengths are measures to the nearest metre. what is the greatest possible area of the field
Answer:56m^2
Step-by-step explanation: