Answer:
82
Step-by-step explanation:
1.) Recognize that this is the Pythagorean Triple 9, 40, 41, just multiplied by two (9*2 = 18, 40*2 = 80).
2.) Now, to find the third number, we just multiply 41 by 2 to get 82.
Answer:
The hypotenuse is equal to 82 centimeters.
Step-by-step explanation:
Using the Pythagorean theorem (a^2 + b^2 = c^2), which states that the legs of a right triangle (a and b) squared, equal the hypotenuse squared, we can plug in the values of the legs of the right triangle into spots a and b. This gets us the equation 80^2 + 18^2 = c^2. We can then square the values to get 6400 + 324 = c^2. We then get 6724 = c^2, and then take the square root of both sides to get the value of c, the hypotenuse. This gets us c = 82, so the hypotenuse is equal to 82 centimeters.
Five subtracted from seven times a number is 86
Answer:
7x-5=86
Step-by-step explanation:
The heaviest freshwater fish caught in region A weighs 279 lb, and the
heaviest freshwater fish caught in region B weighs 619 lb. What
fractional parts of an English ton are each of these fish?
The both fractional parts of an English ton are each of these fish.
What is fractions?The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line. It displays the total number of identical objects in a collection or the total number of equal sections the whole is divided into.The English ton, also known as the long ton, is equivalent to 2,240 pounds. Therefore, the fractional parts, of each of the two fish, of the English ton are:
Fish caught in region A weights = 279 lb
Therefore, fish caught in region A
A = 279 ÷ 2240
Fish caught in region B weights = 619 lb
Therefore, fish caught in region B
B = 619 ÷ 2240
Both fractions are irreducible.
So, both fractional parts of an English ton are each of these fish.
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The expression −290+18y represents a submarine that began at a depth of 290 feet below sea level and ascended at a rate of 18 feet per minute. What was the depth of the submarine after 6 minutes?
Answer: would be -120 + 78, or -42 feet.
Step-by-step explanation:
If f(x) = 2*+5, fill out the following table of values:
-1
0
x
What type of function is this?
1
2
3
Answer:
2
Step-by-step explanation:
i gotchu my boy
Question 36 of 50
When graphing systems of inequalities, the possible answers are all the points that are in the overlapped, shaded region of the two lines.
True
False
The solutions to a system of linear inequalities are located in the region where all the shaded regions of the inequalities overlap. the region of overlap called the intersection.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
For the inequality, we have to apply the arithmetic operation in which we do the multiplication of x and apply the inequality for the given data.
Thus, the solutions to a system of linear inequalities are located in the region where all the shaded regions of the inequalities overlap. the region of overlap called the intersection.
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Need help with question
The required derivatives of the given hyperbolic functions are
d/dx(sinh3x) = 3cosh3x, d/dx(cosh7x) = 7sinh7x, d/dx(tanh6x) = 6sech²6x, d/dx(coth5x) = −5csch²5x, d/dx(sech3x) = −3sech3xtanh3x, and d/dx(csch7x) = −7csch7xcoth7x.
The differentiation formulas for the hyperbolic functions are below as
d/dx(sinhx) = coshx
d/dx(coshx) = sinhx
d/dx(tanhx) = sech²x
d/dx(cothx) = −csch²x
d/dx(sechx) = −sechxtanhx
d/dx(cschx) = −cschxcothx
As per the given question,
⇒ d/dx(sinh3x)
Using formula d/dx(sinhx) = coshx,
⇒ cosh3x × (d/dx(3x))
⇒ cosh3x (3)
⇒ 3cosh3x
⇒ d/dx(tanh6x) = 6sech²6x
⇒ d/dx(coth5x) = −5csch²5x
⇒ d/dx(sech3x) = −3sech3xtanh3x
⇒ d/dx(csch7x) = −7csch7xcoth7x
Thus, the required derivatives of the given hyperbolic functions are
d/dx(sinh3x) = 3cosh3x, d/dx(cosh7x) = 7sinh7x, d/dx(tanh6x) = 6sech²6x, d/dx(coth5x) = −5csch²5x, d/dx(sech3x) = −3sech3xtanh3x, and d/dx(csch7x) = −7csch7xcoth7x.
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Factor the following expression using the common factor -3
-9z - 21y - 2.4
The expression -9z - 21y - 2.4 when -3 is factored out is -3(3z + 7y + 0.8)
How to determine the factored expression?From the question, we have the following expression that can be used in our computation:
-9z - 21y - 2.4
The common factor is given as
-3
So, we divide -9z - 21y - 2.4 by 3
The results of these divisions are
-9z/3 = -3z
- 21y/3 = -7y
- 2.4 /3 = -0.8
So, we have the following results
-9z - 21y - 2.4 = -3(3z + 7y + 0.8)
Hence, the factored expression is -3(3z + 7y + 0.8)
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A plane has a cruising speed of 300 miles per hour when there is no wind. At this speed, the plane flew 600 miles with the wind in the same amount of time it flew 400 miles against the wind. Find the speed of the wind.
Solving a system of equations we will see that the speed of the wind is 60mi/h.
How to find the speed of the wind?When the plane flies with the wind, the two speeds adds up, while if the plane flies against the wind, the speeds need to be subtracted.
We know that the speed of the plane is 300 mi/h.
If the speed of the wind is W, then we can write the two equations:
(300 mi/h + W)*t = 600mi
(300mi/h - W)*t = 400mi
So we have a little system of equations, if we take the quotient between them we get:
[(300 mi/h + W)*t]/[(300mi/h - W)*t ] = 600mi/400mi
(300 mi/h + W)/(300mi/h - W) = 6/4
Now we can solve this for W.
(300 mi/h + W) = (6/4)*(300 mi/h - W)
W + (6/4)*W = (6/4)*300mi/h - 300 mi/h
W*(10/4) = 150 mi/h
W = (4/10)*150 mi/h
W = 60 mi/h
That is the speed of the wind.
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14.
Solve for x.
8/6 = 12/x
Answer:
∴ [tex]x = 9[/tex]
Step-by-step explanation:
[tex]\frac{8}{6} = \frac{12}{x}[/tex]
[tex](\frac{8}{6})(6x) = (\frac{12}{x})(6x)[/tex]
[tex]8x = 72[/tex]
∴ [tex]x = 9[/tex]
The value of x for the given question 8/6 = 12/x is 9.
In the given problem, we know that we need to perform fraction multiplication and algebra to find the value of x.
Here, on the left hand side, we have ⇒ 8/6 (i)
On the right hand side, we have ⇒ 12/x (ii)
To find the value of x, we perform cross multiplication between both sides (LHS and RHS). After performing this function, we get
⇒ 8x = 72
Solving this problem even further, we get
⇒ x = 9
Therefore, the value of x is 9 for the given problem.
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a pool contains 14,000 gallons of water if the pool leaks at a rate of 0.5 gallons per minute, write a linear equation to model this scenario.
with no water replacement, how much water would be left after 1.5 hours.
please show steps and help me fast :(
Answer:
See below
Step-by-step explanation:
Amount of water in pool = 14 000 - .5 x where x is in minutes
1.5 hr = 90 minutes
amount of water in pool = 14 000 - .5(90) = 13 955 gal
What is the best account to get a higher interest-rate but you cannot access the money for a fixed period of time? Why is this the best choice? Choose from CD, checking account, savings account,or money market account
A savings account with a set term and interest rate is known as a certificate of deposit (CD). While CDs often provide greater rates than traditional savings accounts, you can't get to your money right away until the term is over.
What account has the best interest rate?Interest rates on bank savings accounts.A savings account with a set term and interest rate is known as a certificate of deposit (CD). While CDs often provide greater rates than traditional savings accounts, you can't get to your money right away until the term is over.For a set amount of time, such as six months, a year, or five years, a certificate of deposit (CD) is a savings account that earns interest from the issuing bank. Your initial investment plus any accumulated interest is returned when you cash in or redeem your CD.To learn more about Certificate of Deposit (CD) refer to:
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Please answer need to turn it in
Answer:
Step-by-step explanation:
c
Answer:
It's A
Step-by-step explanation:
I=Prt
I=$660(3.5%)5
I=23.1(5)
I=$115.50
Order each list of numbers from least to greatest. -0.6, 0, 0.5, 0.7,-0.2
Answer:
-0.6, -0.2, 0, 0.5, 0.7
Step-by-step explanation:
To find out this answer, we know first that negatives are the least. And -0.6 is farther away from 0 than -0.2, so we can have -0.6, -0.2 as our last numbers.
Then, 0.5 and 0.7 are greater than 0, so, then we have -0.6, -0.2, 0.
Then, 0.7 is greater than 0.5, so we can arrange the final numbers:
-0.6, -0.2, 0, 0.5, 0.7
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 12 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer: -0.6,-0.2, 0, 0.5, 0.7
Step-by-step explanation: Use a number line
An amount of $ 48,000$ is borrowed lord 9 years at $6 \% 6 interest, compounded annually. If the loan is paid in full at the end of that period, thaw Mach must be paid back?
Use the calculator provided and round your answer to the rarest dollar.
By using the formula for compound interest, it can be calculated that
He must pay back $81095 after 9 years
What is Compound interest?
If the interest on a certain principal at a certain rate over a certain period of time increases exponentially, rather than linearly, then the interest earned is called compound interest
If p is the principal, r is the rate and t is the time, then the amount is calculated by the formula
[tex]A = p(1 + \frac{r}{100})^n[/tex]
The difference between the amount and the principal gives the compound interest.
Principal = $48000
Rate = 6%
Time = 9 years
Amount = [tex]48000(1+ \frac{6}{100})^9\\[/tex]
= $81095
He must pay back $81095 after 9 years
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how much more will $28,000 earn in interest than $16,000 if both invested in savings accounts with APYs of 5.8% for a year
The $28,000 investment will earn $696 more than the $16,000 investment if both make a 5.8% (APY) annual percentage yield for a year.
What is the APY?APY means annual percental yield.
Annual Percentage Yield describes the real interest rate earned on an investment in a year.
The Annual Percentage Yield refers to the interest an investment, saving, and loan attracts for the time value of money and inflationary effects.
The Annual Percentage Yield is applied to the investment amount for a year to calculate the interest earned.
Plan A Plan B
Investments $28,000 $16,000
Interest earned $1,624 $928 ($16,000 x 5.8%)
The difference in interest earned = $696 ($1,624 - $928)
Thus, when an investor puts $28,000 in a savings account at 5.8%, they earn $696 more than investing $16,000 at the same APY.
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What 3x+6=21 will mark brainliest
Answer: x = 5
Step-by-step explanation:
3x + 6 = 21
3x = 21 - 6
3x = 15
x = 15/3
x = 5
Answer: X =5
Step-by-step explanation: Subtract both sides by 6 to isolate 3x:
3x+6-6=21-6
3x=15
Divide both side by 3 to come up with x:
X=5.
A shortcut method but it does not follow the correct rules of math but if you're in a hurry it works:
3x+6=21
transfer +6 converting the sign to a -6
3x-=21-6
Subtract 3x=15
Divide by the number with x (3)
x=5
IXL Help Fast Please !
Answer:
y=-2/5x+4/5
Step-by-step explanation:
it’s parallel so it will have the same slope
2=-2/5(-3)+4
2=6/5+4
2=1 1/5+4
2=5 1/5
5 1/5-2=3 1/5
We know this is 3 1/5 to big so we subtract it from y intercept
4-3 1/5
4/5 is the new y intercept
2=-2/5(-3)+4/5
2=6/5+4/5
2=10/5
2=2
So now the equation is true
Hopes this helps
6. In the coordinate plane, line D has slope 1 and y-intercept (0, 0). Line T is the result of dilating line D by a factor of 2 with center (3, 4). What are the slope and y-intercept of line T?
The slope of the line T will be 1 and the y-intercept will be (0,4) in the given coordinate plane.
What is slope?A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x). The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. In the case of the equation y = 3x - 7, the slope is 3 and the y-intercept is (0, 7). And b is the value of b in the point that is the y-intercept (0, b). By calculating the difference between the coordinates of the two points, (x1,y1) and (x2,y2), it is simple to calculate the slope of a straight line between them. The letter "m" is frequently used to denote slope.
Here,
The slope of line D=1
y-intercept=(0,0)
factor=2
coordinate=(3,4)
The slope will not change that will be 1.
y-intercept=0+4
=4
y-intercept=(0,4)
In the given coordinate plane, the y-intercept of line T will be (0,4) and its slope will be 1.
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Consider the equation:
0=x^2+4x+10=x
2
+4x+10, equals, x, squared, plus, 4, x, plus, 1
1) Rewrite the equation by completing the square.
Your equation should look like (x+c)^2=d(x+c)
2
=dleft parenthesis, x, plus, c, right parenthesis, squared, equals, d or (x-c)^2=d(x−c)
2
=dleft parenthesis, x, minus, c, right parenthesis, squared, equals, d.
2) What are the solutions to the equation?
1. The rewritten form of the equation is (x + 2)² = -6
2. The solutions to the equation are 0.45 and -4.45
Given,
The equation;
0=x^2+4x+10
1. We have to rewrite the equation;
x² + 4x + 10 = 0
x² + 4x = -10
Add the square of the half of coefficient of x to both sides
4/2 = 2
x² + 4x + 2² = -10 + 2²
x² + 4x + 4 = -6
(x + 2)² = -6
Therefore,
The rewritten form of the equation is (x + 2)² = -6
2. Calculate the value of x
(x + 2)² = -6
Square root both sides
√(x + 2)² = ±√6
x + 2 = ±2.45
x= ±2.45 - 2
x = 2.45 - 2 and -2.45 - 2
x = 0.45 and -4.45
Hence the solutions to the equation are 0.45 and -4.45
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Answer:
0=x²+4x+1
3=(x+2)²
x=−2± [tex]\sqrt{3}[/tex]
Step-by-step explanation:
In a survey of 2329 adults, 712 say they believe in UFOs.
Construct a 95% confidence interval for the population proportion of adults who believe in UFOs.
A 95% confidence interval for the population proportion is
(Round to three decimal places as needed.)
A 95% confidence interval for the population proportion is ( 0.297, 0.335 ).
What is confidence interval?
A confidence interval (CI) for an unknown parameter in frequentist statistics is a range of estimations. The most popular confidence level is 95%, but other levels, such 90% or 99%, are occasionally used for computing confidence intervals. The fraction of related CIs over the long run that actually contain the parameter's true value is what is meant by the confidence level. The parameter's true value, for instance, should be present in 95% of all intervals computed at the 95% level.
Given that,
Point estimate = sample proportion = p' = x / n = 738 / 2336 = 0.316
1 - p' = 1 - 0.316 = 0.684
Z(α/2) = Z(0.025) = 1.96
A 95% confidence interval for population proportion p is ,
p' ± E
= 0.316 ± 0.019
= ( 0.297, 0.335 )
With 95% confidence, it can be said that the population proportion of adults who believe in UFO's is between the endpoints of the given confidence interval
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Question 3.13R:
Which of the following are equivalent exponential function(s) to f(x)=(4/7)^−x
The equivalent function of the exponential function is (a) f(x) = (7/4)ˣ
How to determine the equivalent function?From the question, we have the following function that can be used in our computation:
f(x) = (4/7)^-x
This function can be properly expressed as
f(x) = (4/7)⁻ˣ
Solving further, we need to apply the exponent law of indices
This is represented as
a⁻ˣ = 1/aˣ
When the above rule is applied, we have
f(x) = 1/(4/7)ˣ
Evaluate the quotient
f(x) = (7/4)ˣ
Hence, the equivalent is (a) f(x) = (7/4)ˣ
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A house has increased in value by 15% since it was purchased. If the current value is 299,000, what was the value when it was purchased?
The value of the house when it was purchased is 260,000 units
How to find the value the house was purchased?The house has increased in value by 15 percent since it was purchased. The current value is 299,000.
The value of the house when it was purchased can be calculated as follows:
let the amount purchased = x
Hence,
15% of x + x = 299000
0.15x + x = 299000
1.15x = 299000
divide both sides by 1.15
Hence,
x = 299000 / 1.15
x = 260000
Therefore, the value of the purchase is 260,000 units
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A car leaves Rockford, Illinois, at the rate of 70 mph, bound for Madison, Wisconsin. At the same time, a truck leaves Madison at the rate of 50 mph, bound for Rockford. If the cities are 72 miles apart, how long will it take for the car and the truck to meet?
Answer:
36 minutes
Step-by-step explanation:
The total distance covered by the two vehicles per hour: 70 + 50 = 120 miles.
Time is distance over velocity.
[tex]t=\frac{72}{120}[/tex] hours
Which simplifies to
[tex]\frac{3}{5}[/tex] hours.
Convert hours to minutes.
There is 60 minutes in 1 hour.
[tex]\frac{1}{60}=\frac{\frac{3}{5} }{x}[/tex]
[tex]x=36[/tex]
WILL GIVE BRAINLIEST!! PLEASE
A car travels 12 km North and then turns left to travel 5 km West before coming to a stop. What is the car’s displacement?
The answer will be 13 km that is displacement of the car.
What is displacement?
When a body shifts from one position to another, displacement is the smallest (straight line) distance between the starting position and the ending position of the body, which is symbolized by an arrow pointing from the starting position to the ending position. Displacement is a vector quantity that describes "how far out of place an object is"; it represents the overall change in the position of the object.
A car travels 12 km north and turns left to travel 5km.
So the final position of car from the initial position is :
So the placement of the car is √(12²+5²) = √169 =13km
Hence the Displacement of the car is 13 km
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What's the point slope for Y = 1/2 X + 3/2
Answer:
1/2
Step-by-step explanation:
The equation given is put in slope intercept form
y = mx + b
where m = slope and b = y intercept
In the equation y = 1/2x + 3/2,
"1/2" takes the spot of "m" meaning that the slope of the equation is 1/2
After selling tickets to dance for $3.25 each, the student council brought in $1020.50 from ticket sales. How many students attended the dance?
3317
3140
314
31.4
Answer
314
Step-by-step explanation:
hope this helps ya
PLEASE HELP ASAP!!!! FULL ANSWERS!!!! NO SCAMS OR TOMFOOLERY!!!!
A rocket is fired upward from some initial distance above the ground. Its height (in feet), h, above the ground t seconds after it is fired is given by h ( t ) = − 16 t 2 + 80 t + 384 .
What is the rocket's maximum height? ______________ feet
How long does it take for the rocket to reach its maximum height? ___________ seconds
After it is fired, the rocket reaches the ground at t= ___________ seconds
The rocket's maximum height is therefore 2704 feet, its maximum height is reached in 3 seconds, and the rocket reaches the ground at time t=16 seconds.
Define parabola.A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.
Given,
A rocket is fired upward from some initial distance above the ground. Its height (in feet), h, above the ground t seconds after it is fired is given by h ( t ) = − 16 t 2 + 80 t + 384
Following is our relationship between height and time:
h ( t ) = − 16 t 2 + 80 t + 384
The vertex of the equation above is as follows because it is a parabola equation.
In this case, a = -16, b = 96, and c = 2560.
The highest point at:
= -96/(2×(-16)
= 96/32
= 3 sec.
Maximum height at three seconds later:
h = -16 ×3² + 96 × 3 + 2560
h = 2704 feet
The rocket reaches the ground at y = 0, adding the following value to the parabolic equation:
0 = 16t² + 96t + 2560
Once we've solved it, we'll get:
t = 16 or
t = -10
Time cannot be negative, so we will choose t = 16 seconds.
The rocket's maximum height is therefore 2704 feet, its maximum height is reached in 3 seconds, and the rocket reaches the ground at time t=16 seconds.
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PLEASE HELP ME ON THIS QUESTION!!! IT DUE TODAY SO PlEASE HELP MEEE
Answer:
Step-by-step explanation: xxxdadyxxx12 snap
y
Use the arc length formula to find the length of the graph of the function y = x ^ (3/2) + 4 from x = 2 to x = 9 (Express numbers in exact form. Use symbolic notation and fractions where needed.)
Answer:
[tex]\frac{1}{27}((13)^{\frac{3}{2}}-(6)^ {\frac{3}{2}})[/tex]
Step-by-step explanation:
What is $68.61 divided by 6?
Answer: 68.61/6 = 11.435
