evaluate the equation h - 3/5 = 13/45
A. h = 8/9
B. h = 14/15
C. h = 39/45
D. h = 41/45
Answer:
The choice A. h = 8/9
Step-by-step explanation:
\(h - \frac{3}{5} = \frac{13}{45} \\ \\ h = \frac{13}{45} + \frac{3}{5} \\ \\ h = \frac{13}{45} + \frac{27}{45} \\ \\ h = \frac{40}{45} = \frac{8}{9} \)
Answer: 8/9
Step-by-step explanation:I took the test
The volume of a water tank is 396 m^3. If it is 7.2 m long and 5.5 m wide. what is the depth of the tank ?
Answer :
Depth of the tank is of 10mStep-by-step explanation :
We have been provided with the volume of water tank , it's length and breadth. We are asked to calculate the depth of tank (height), so we all know that water tank is always is in the shape of cuboid.
We would be using the formula of calculating the volume of cuboid and substitute the values in it.
V = l × b × hHere,
l is length b is breadth h is heightWe have :
Volume (V) = 396m³length (l) = 7.2mbreadth (b) = 5.5m height (h) = ?Substituting the values :
>> 396 = 7.2 × 5.5 × h
>> 396 = (72 / 10) × (55 / 10) × h
>> 396 = 72 × 55 × h / 100
>> 396 = 3960 × h / 100
>> 396 × 100 = 3960 × h
>> 39600 = 3960h
>> h = 39600 / 3960
>> h = 3960 / 396
>> h = 10
__________________________
if City A has a population of about 1.6x10^5 people, and the city has a population of about 1.2x10^2, people, what is the difference in magnitude between the two cities?
The difference between city A and city B is 1.5988 x \(10^{5}\)
what is a number in standard form?The standard form of a number is a way of writing the number in a form that follows certain rules. Any number that can be written as a decimal number, between 1.0 and 10.0, multiplied by a power of 10, is said to be in standard form.
let us rewrite the population of city A in powers of 2
1.6 x \(10^{5}\) we need to move the decimal place 3 steps to the right and add 2 zeros in front of 6 which is 1600 x \(10^{2}\)
So that city A and B have the population in powers of \(10^{2}\)
so A - B = 1600 x \(10^{2}\) - 1.2 x \(10^{2}\) factor out \(10^{2}\)
A - B = \(10^{2}\)( 1600 - 1.2)
A - B = 1598.8 x \(10^{2}\)
so rewriting the difference in standard form we move the decimal place 3 steps to the left so that we have 1.5988 x \(10^{5}\)
In conclusion the difference in population between both cities is 1.5988 x \(10^{5}\)
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Find the equation of a line parallel to y=x−1 that contains the point (−3,−2). Write the equation in slope-intercept form.
Answer:
y = x + 1
Step-by-step explanation:
Parallel lines have same slope.
y = x - 1
Compare with the equation of line in slope y-intercept form: y = mx +b
Here, m is the slope and b is the y-intercept.
m =1
Now, the equation is,
y = x + b
The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,
-2 = -3 + b
-2 + 3 = b
\(\boxed{b= 1}\)
Equation of line in slope-intercept form:
\(\boxed{\bf y = x + 1}\)
The equation is :
↬ y = x + 1Solution:
We KnowIf two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.
We shouldn't forget about a point on the line : (-3, -2).
I plug that into a point-slope which is :
\(\sf{y-y_1=m(x-x_1)}\)
Slope is 1 so
\(\sf{y-y_1=1(x-x_1)}\)
Simplify
\(\sf{y-y_1=x-x_1}\)
Now I plug in the other numbers.
-3 and -2 are x and y, respectively.
\(\sf{y-(-2)=x-(-3)}\)
Simplify
\(\sf{y+2=x+3}\)
We're almost there, the objective is to have an equation in y = mx + b form.
So now I subtract 2 from each side
\(\sf{y=x+1}\)
Hence, the equation is y = x + 13. Show that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
Answer:
Step-by-step explanation:
To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.
Let's apply the Luhn algorithm to the given credit card number:
Step 1: Starting from the rightmost digit, double every second digit
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|
Step 2: If the doubled value is greater than 9, add the digits of the result
| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |
Step 3: Add up all the digits in the credit card number, including the check digit
5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61
Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.
61 is not divisible by 10, therefore the given credit card number is invalid.
Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.
Help me help negeueiisjskwjjansnsbbsbsbsbbsjw
The only relative extrema is B , it is a maximum.
a and c are just x intercepts
Ethan had planned to visit his local post office on Saturday to exchange $400
or euros. The exchange rate for that day was $1 = 1.25 E
However, due to unforseen circumstances, Ethan arrived at the post office after
it closed on that day. He therefore had to wait until the following Monday to
exchange his $400 for euros. The exchange rate on Monday was $1 = 1.20 E
a) How many fewer euros did he receive due to this delay? |20
b) What percentage loss was caused by this delay?
The amount of fewer euros he would receive as a result of the delay is 20 E.
The percentage loss that was caused by the delay is -4%.
What is the fewer euros received and the percentage loss?
Exchange rate is the rate at which one unit of a currency can buy another currency. In this question, the value of Euros appreciated by Monday. This is because $1 buys less Euros on Mondays. On the hand, dollars depreciates in value.
Amount of fewer Euros received = value of euros if it were exchanged on Friday - value of euros if it was exchanged on Monday
Value of euros if it were exchanged on Friday = 1.25 x 400 = 500 E
Value of euros if it was exchanged on Monday = 1.20 x 400 = 480 E
Difference = 500 E - 480 E = 20 E
Percentage loss = (Euros received on Monday / Euros that would have been received on Friday) - 1
Percentage loss = (480 / 500) - 1 = -0.04 = -4%
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2,239 ÷ 7
Division compatible numbers
Answer:the answer is 319.857 and round to 320
Step-by-step explanation:
Which graph represents the inequality x greater-than 6?
A number line going from 1 to 11. A closed circle is at 6. Everything to the left of the line is shaded.
A number line going from 1 to 11. An open circle is at 6. Everything to the left of the line is shaded.
A number line going from 1 to 11. A closed circle is at 6. Everything to the right of the line is shaded.
A number line going from 1 to 11. An open circle is at 6. Everything to the right of the line is shaded.
Answer:
C
Step-by-step explanation:
Because it isn't a negative number so it should have a closed circle with a line going to 11 and on. Hoped this helped. ;)
Answer:
C
Step-by-step explanation:
A window shaped like a parallelogram has an area of 31 square feet. The height of the window is 33 feet. How long is the base of the window?
The area of a parallelogram can be determined by multiplying its height by its base following the formula:
\(A=h\cdot b\)If you know the area and the height of the parallelogram you can determine the length of the base. To do so, you have to divide the area by the height:
\(b=\frac{A}{h}\)We know that the area of the window is A=31ft² and the height is h=33ft, you can calculate the length of the base as follows:
\(undefined\)A recipe for 45 biscuits uses
5
2
cups of flour. How many biscuits are made from each cup of flour?
Answer:
18
Step-by-step explanation:
Please give brainliest!
Answer:
18
Step-by-step explanation:
Aaron wants to draw the development of a cylinder. Which method of development should he use?
A.
parallel line
B.
approximate
C.
triangulation
D.
radial line
E.
non-curved to non-curved triangulation
Answer:
The correct option is A. Parallel line.
Cam anyone answer these 4 questions?
Answer:
The first one is correct
Step-by-step explanation:
ITs all good
HELPPP
3p-4-8p<-19
i need the steps as well
9514 1404 393
Answer:
p > 3
Step-by-step explanation:
3p -4 -8p < -19 . . . . . . given
-5p -4 < - 19 . . . . . . . . collect terms
-5p < -15 . . . . . . . . . . . add 4
p > 3 . . . . . . . . . . . . . . divide by -5 (reverses the inequality symbol)
What’s the correct answer for this?
Answer:
D
Step-by-step explanation:
It's a football ....=> So ... A sphere !!
Graph makes no sense to me
Answer:
(a) 0
(b) 0
(c) 1
The function is not continous at x = 9
Step-by-step explanation:
To the left and right of the point x = 9, the graph would seem to continue at f(x) = 0, however on the exact point x = 9 there is a hole in the graph allowing it to be equal to 1. Due to the hole in the graph, it is not continuous
Apologies if this is wrong its been a bit since I did calculus
What was the opening price of Dow Jones Industrial Average on Jan 08, 2018 in the format of XXXXX.XX?
Answer:
This implies that the opening price was 21080.28. Explanation: The Dow Jones Industrial Average measures the stock performance of 30 large
6. If Jeremy has a batting average
of 0.5014
and Alex has a batting average of 0.50098
who has the better average?
\(3(x+2)^2-6=21\)
Starting at 300 feet away, a car drives towards you. IT then passes you by at a constant speed of 48 feet per second. The distance d (in feet) of the car from you after t seconds is given by the equation d=|300-48t|. AT what times is the car 60 feet from you?
The car is 60 feet away from you after___seconds and after _____ seconds.
Explain what 48t represents in the given equation.
The car is at 60ft from you 5 seconds after it starts moving and 7.5 seconds after it starts moving.
The 48*t part means the number of feet that the car moves in t seconds
At what times is the car at 60ft from you?We know that the absolute value equation that models the distance is:
d(t) = |300 - 48*t|
Then what we need to solve is d(t) = 60, this is:
d(t) = 60 = |300 - 48*t|
That absolute value equation can be represented in two forms:
300 - 48*t = 60
300 - 48*t = -60
Solving these two we get the two times at which the car is at 60ft from you.
-48*t = 60 - 300
t = (60 - 300)/(-48) = 5
t = (-60 - 300)/(-48) = 7.5
So the car is at 60ft from you 5 seconds after it starts moving and 7.5 seconds after it starts moving.
The 48*t part means the number of feet that the car moves in t seconds.
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He starts a new job and works a 38-hour week for a wage of $975.84.
e. Calculate his hourly rate of pay.
f. If overtime is calculated at time and a half, what is Vikram’s overtime rate?
g. How much does Vikram earn for 4 hours of overtime work?
h. How many hours of overtime did Vikram work in a week if his wage for that week was $1226.22?
i. If Vikram usually works the amount of overtime in part h in the 52 weeks of the year he works, and he pays 27% of his pay in tax, what is his net annual income?
j. If Vikram invests 10% of his net income in an account earning 8% p.a. simple interest for 18 months, how much extra income will he have earn
e. Hourly rate = $975.84 / 38 = $25.68
f. Overtime rate = $25.68 * 1.5 = $38.52
g. Earnings (4 hours OT) = $38.52 * 4 = $154.08
h. Overtime hours = ($1226.22 - $975.84) / $38.52 ≈ 6.5 hours
How to solveBegin by determining the number of overtime hours worked by evaluating the discrepancy between his weekly salary and his regular wage:
Take note that the difference = $250.38, specifically from a calculation derived by subtracting $975.84 from $1226.22.
Next, divide this incongruity by his rate of pay for working overtime to establish the actual quantity of time augmented:
Upon performing our overall assessment with $38.52 as the hourly short-term remuneration rate towards supplementing regular pay projections, we determine roughly 6.5 additional work hours incrementally added onto one's overall timesheet.
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Let p: x<-3
Let q: x>3
What is represented by p V q?
O x<-3 and x > 3
O x> 3 or x<-3
Olfx <-3, then x > 3
Ox<-3 if and only if x > 3
9514 1404 393
Answer:
(b) x> 3 or x<-3
Step-by-step explanation:
The ∨ symbol is understood to mean "or".
p ∨ q ≡ (x < -3) or (x > 3) . . . . . . matches the 2nd choice
A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the translation?
T1, –9(x, y)
T–1, –9(x, y)
T–9, 1(x, y)
T–9, –1(x, y)
The function rule that describes the given translation is T-9, 1(x, y).
The first value in the function rule represents the horizontal translation, while the second value represents the vertical translation. In this case, the square is translated 1 unit to the right, indicating a positive horizontal translation.
Additionally, the square is translated 9 units down, indicating a negative vertical translation. Therefore, the correct function rule is T-9, 1(x, y).
In the coordinate plane, the x-coordinate represents the horizontal position, and the y-coordinate represents the vertical position. When we apply the function rule T-9, 1 to the coordinates of the square, we subtract 9 from the y-coordinate and add 1 to the x-coordinate.
This results in the square being moved 9 units down and 1 unit to the right from its original position.
The negative sign in front of the 9 indicates a downward movement, and the positive sign in front of the 1 indicates a rightward movement. Hence, the translation is accurately described by the function rule T-9, 1(x, y).
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Answer:
C
Step-by-step explanation:
Find a product of 3 2
\(\huge\text{Hey there!}\)
\(\huge\textsf{Guide to follow:}\)
\(\bullet\large\text{ Difference means to subtract}\\\bullet\large\text{ Product means to multiply}\\\bullet\large\text{ Quotient means to divide}\\\bullet\large\text{ Sum means to add}\)
\(\huge\textsf{Now that we have that information out the way,}\\\\\huge\textsf{we can answer your given equation.}\)
\(\huge\textsf{Question reads}\)
\(\star\large\text{ Find a product of 3 and 2}\)
\(\star\large\text{ Since, we are looking for the product of those two numbers (3 \& 2)}\\\large\text{we know that we have to \textsf{\underline{multiply}} them from each other. }\)
\(\huge\textsf{What should the equation look like?}\)
\(\large\text{3} \times \large\text{2}\)
\(\huge\textsf{What is the easiest way to solve for this equation?}\)
\(\large\text{3} \times \large\text{2}\\\rightarrow\large\text{3 + 3}\\\rightarrow\large\text{6}\)
\(\huge\text{Therefore your answer should be:}\)
\(\huge\text{The product of 3 and 2 is: \boxed{\mathsf{6}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
State the name of the property illustrated.
4(-8+5)= - 32 + 20
The property illustrated in equation 4(-8+5) = -32 + 20 is the Distributive Property.
The Distributive Property states that when a number is multiplied by a sum or difference in parentheses, it can be distributed or multiplied by each term inside the parentheses separately, and then the results can be added or subtracted.
In this case, the number 4 is multiplied by the sum (-8 + 5). By applying the Distributive Property, we distribute the 4 to each term inside the parentheses:
4(-8 + 5) = (4 * -8) + (4 * 5)
This simplifies to:
4(-8 + 5) = -32 + 20
Finally, we can perform the addition:
-32 + 20 = -12
Therefore, the equation demonstrates the application of the Distributive Property.
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Given the following exponential function,
identify whether the change represents
growth or decay, and determine the
percentage rate of increase or decrease.
y = 970(1.042)*
The change represents growth and rate of increase is 4.2%
What is an exponential function?Exponential functions model a relationship in which a constant change in the independent variable gives the same proportional change.
Given that, an exponential function y = 970(1.042)ˣ
When the growth rate is greater than 1, then the function represents a growth.
The general form equation is:
y(x)= a(1+r)ˣ such that r is the growth percent.
So,
1+r = 1.042
r = 0.042
r = 4.2%
Hence, the growth rate is 4.2%
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Which expression is equivalent to -2(x - 3y + 5z)?
Answer:
−2x+6y−10z
Step-by-step explanation:
Answer:
-2x + 6y - 10z
Step-by-step explanation:
distribute the -2 to the numbers inside the ()
i’m very confused pls help 50 PTS
Find the quadratic function y=ax^2 +bx+c whose graph passes through the given points. (-1,-11) (2,-26) (-3,-31)
The quadratic value function is y = -x² - 4x + 16
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
Let the function passes through the given points. (-1,-11) (2,-26) (-3,-31)
And , using the point (-1,-11) , we get
-11 = a(-1)² + b(-1) + c
-11 = a - b + c
Using the point (2,-26) , we get
-26 = a(2)² + b(2) + c
-26 = 4a + 2b + c
Using the point (-3,-31) , we get
-31 = a(-3)² + b(-3) + c
-31 = 9a - 3b + c
And , the three set of equations are
-11 = a - b + c
-26 = 4a + 2b + c
-31 = 9a - 3b + c
From the first equation, we can solve for c:
c = 11 - a + b
Substituting this expression for c into the other two equations, we get:
-26 = 4a + 2b + 11 - a + b
-31 = 9a - 3b + 11 - a + b
Simplifying these equations, we get:
-15 = 3a + 3b
-21 = 8a - 2b
Solving the first equation for b in terms of a, we get:
b = -5 - a
Substituting this expression for b into the second equation, we get:
-21 = 8a - 2(-5 - a)
Simplifying and solving for a, we get:
a = -1
Substituting this value of a into the equation for b that we found earlier, we get:
b = -5 - (-1) = -4
Finally, substituting these values of a and b into the equation for c that we found earlier, we get:
c = 11 - (-1) - (-4) = 16
Hence , the quadratic function that passes through the given points is given by y = -x² - 4x + 16
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Please help with this question
Answer:
this is the answer:
Step-by-step explanation:
Hope it helps:
Estimate 6,976 + 3,983 + 13,560 by first rounding each number to the nearest thousand.
Answer:
Step-by-step explanation:
The thousand mark is the 4th number when going from right to left. So it would be the {6},976. When it comes to rounding, you go "5 and above, give it a shove, 4 and below, let it go. 6,976 rounded to the nearest thousand is 7,000, 3,983 rounded to the nearest thousand is 4,000, 13,560 rounded is 14,000.
7,000 + 4,000+ 14,000 = 25,000