Answer:
The answer is 108mi
Step-by-step explanation:
to solve this problem, we need to write a ratio.
\(\frac{468mi}{13hrs}\)
to solve for 3 hours, we need to figure out how many miles the bird can fly in 1 hour. to do that, we need to divide the numerator and denominator by 13.
\(\frac{36mi}{1hr}\)
now we have a unit rate that represents distance covered per hour.
to solve for 3, we need to multiply the numerator and denominator by 3.
\(\frac{108mi}{3hrs}\)
the question is asking for miles. therefore, the bird can fly 108mi in 3 hrs.
hope this helps!
Answer:
108 miles
Step-by-step explanation:
For this problem you can create a proportion:
\(\frac{468 miles}{13 hours}\)
To find how many miles it flies in 3 hours, we need to find the unit fraction. Do this by making the denominator (bottom number) 1:
here, we must divide by 13:
\(\frac{468 miles}{13 hours}\)÷\(\frac{13}{13}\)= \(\frac{36 miles}{1 hour}\)
Each hour, they fly 36 miles.
To find how many miles they fly in 3 hours, make a proportion:
\(\frac{36 miles}{1 hour}\)=\(\frac{x miles}{3 hours}\)
Then, solve:
use cross multiplication:
36·3=108
x·1=x
108=x
PLEASE HELP, GIVING BRAINLIEST!!!
These triangles are congruent by _____.
A. ASA
B. AAS
C. SSS
D. Not enough information
E. None of these
Answer:
A. ASA
Step-by-step explanation:
There are two angles and sides marked as congruent\
The angles in the middle are congruent by the Vertical Angles Theorem
They have congruent side with congruent angles adjacent so it's Angle Side Angle
CAN SOMEONE HELP ME WITH THIS!!
Answer:
Number of dogs = 6
Number of burgers = 11
Step-by-step explanation:
Number of dogs = x
Number of burgers = 2x - 1
Cost of a dog = $ 1.50
Cost of 'x' dogs = 1.5x
Cost of a burger = $ 2
Cost of (2x - 1) burger = (2x -1) * 2 = 2x *2 - 1*2
= 4x - 2
Total amount collected = $ 31
1.5x + 4x - 2 = 31 {add 2 to both sides}
1.5x + 4x = 31 + 2
1.5x+ 4x = 33
5.5x = 33
x = 33/5.5
x = 6
Number of dogs = 6
Number of burgers = 2*6 - 1 = 12 - 1 = 11
Write the equation of a line ( slope intercept form y = mx + b)
Answer:
y=1/4x-1
Step-by-step explanation:
i knew the general equation of the line and i knew the slope would be a fraction because the line is rlly flat
-1 would be the b and i plugged in simple fraction values for m
i checked in desmos and they look similar
hope this helps and is correct <3
1. If f(x) = (3x-2)/(2x+3), then f'(x) =
Answer:
\(f'(x)= \frac{13}{(2x+3)^2}\\\)
Step-by-step explanation:
\(f(x)= \frac{3x-2}{2x+3} \\\)
\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)
\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)
find the 74th term of the following arithmetic sequence. 17, 26, 35, 44
Answer:
t74 = 674
Step-by-step explanation:
Givens
n = 74
a = 17
d = 26 - 17 = 9
Formula
tn = a + (n - 1)* d
Solution
tn = 17 + 73 * 9
tn = 17 + 657
tn = 674
Remark: This is an application of the arithmetic formula for the "last" term.
You pretty much have to know to to juggle the parts as this one was done.
\(\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}\)
Here we have,
n = 74 a = 17 d = 26 - 17 = 9\(\mapsto\tt{t_n = a + (n - 1) \times d} \\ \\ \mapsto\tt{t_n = 17 + (74 - 1) \times 9} \\ \\ \mapsto\tt{t_n = 17 + 73 \times 9} \\ \\ \mapsto\tt{t_n = 17 + 657} \\ \\ \mapsto\tt{t_n = 674}\)
5.5 x 10 ^-3 I need help on this question pls.
Answer:
0.0055
Step-by-step explanation:
i answered the same on , mark me brainliest
Answer:
0.0055
Step-by-step explanation:
I dont have a step by step explanation.
If x is 5, then 6x = _____.
Answer:
30
Step-by-step explanation:
if x is 5, then 6x=______.
sub in the value of x for 5
when a variable and coefficient as next to eachother that means to multiply
so 6*5= 30
Answer:
\(\large \boxed{\mathrm{30}}\)
Step-by-step explanation:
\(x=5\)
\(\sf{Substitute \ x \ as \ 5 \ for \ 6x.}\)
\(6(5)\)
\(6 \times 5 = 30\)
Given that f(x)=x^2=11x+30 and g(x)=x-5, find f(-g)(x) and express the result as a polynomial in simplest form.
Hey there,
We have,
f(x) = x² + 11x + 30g(x) = x + 6
Now,
(f.g)(x) = f(g(x))
Substituting...
g(x) = x + 6f(g(x)) = f(x + 6)
Now,
f(x + 6)= (x + 6)² + 11(x + 6) + 30= x² + 12x + 36 + 11x + 66 + 30= x² + 23x + 132
So,The value is x² + 23x + 132
cuanto es la raiz cuadrada de 123
Answer:
11.0905365064
11.1 (rounded)
Step-by-step explanation:
\(\sqrt{123} =11.090\)
Answer:
Step-by-step explanation:
11.0905365064
The drama club is selling tickets to their annual talent show. They sold adult tickets (a) for $12.50 each and student tickets (s) for $6. They sold a total of 30 tickets and made $264.50.
Which system of equations best represents the situation above?
Answer:
12.5a + 6s = 264.5 and a + s = 30
Step-by-step explanation:
They also intersect at (17, 13)
(17 student tickets, 13 adult tickets)
Good Luck!
Which expression is equivalent to t + 4+ 5 - 3t?
Choose the correct answer below.
a.13t
b. 15t
c. -2t + 9
d. 2t + 9
pls tell me the answer quickly
Answer:
hi
Step-by-step explanation:
If f(x) = x-5, ther match each of the following.
4
1 f(-1)
-6
2. f(0)
3. f(1)
-3
4. f(2)
3
5. f(5)
-5
6. f(8)
0
Answer:
1. f(-1) = -6
2. f(0) = -5
3. f(1) = -4
4. f(2) = -3
5. f(5) = 0
6. f(8) = 3
Step-by-step explanation:
1. f(-1)=-1-5=6
substitute the x value into the equation.
2. f(0)=0-5=-5
3. f(1)=1-5=-4
4.f(2)=2-5=-3
5. f(5)=5-5=0
6. f(8)=8-5=3
John surfs the website on a regular basis. Suppose the time he spent surfing the website per day is normally distributed, µ = 8 minutes and σ = 2 minutes. If you select a random sample of 4 sessions,
a. What is the probability that the sample mean is less than 8 minutes? Explain
b. What is the probability that the sample mean is between 8 and 10 minutes?
Given that John surfs the website on a regular basis. The time he spent surfing the website per day is normally distributed, µ = 8 minutes and σ = 2 minutes. If you select a random sample of 4 sessions. We are to find the probability of sample mean.a.
The probability that the sample mean is less than 8 minutes sample size(n) = 4μ = 8 minutesσ = 2 minutes
As we know, the sample means follow a normal distribution with mean, μ and standard deviation, σ / sqrt(n).
Therefore, the sample mean will follow a normal distribution with a mean of μ and standard deviation of σ/√n=2/√4=1
So the Z-score for the given data can be calculated as: Z= X−μ/σ/√nZ= 8−8/2/√4=0Thus, the probability that the sample mean is less than 8 minutes is P(Z < 0).
Since the Z distribution is normal, the area to the left of 0 is 0.5.
Therefore, the probability that the sample mean is less than 8 minutes is 0.5.b. The probability that the sample mean is between 8 and 10 minutes sample size(n) = 4μ = 8 minutesσ = 2 minutes
The Z-scores corresponding to X1=8 and X2=10 can be calculated as: Z1= X1−μ/σ/√n= 8−8/2/√4=0Z2= X2−μ/σ/√n= 10−8/2/√4=1
Thus, the probability that the sample mean is between 8 and 10 minutes is the area under the standard normal curve between Z1 and Z2, which is P(0
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What is the y-intercept in the equation y = 45x + 65?
Answer:
The y intercept is : 65
Step-by-step explanation:
The y intercept is 65 as it is in the form of y=mx+c.
The c is the y intercept, being 65
For the equation x+10y=60, find the missing value in the ordered pair: (−10,?)
The missing value in the ordered pair (−10,?) is 7.
To find the missing value in the ordered pair (−10,?), we can substitute the given value of x, which is −10, into the equation x + 10y = 60 and solve for y.
Let's substitute x = -10 into the equation:
-10 + 10y = 60
Now, let's solve for y. To isolate y, we need to move -10 to the other side of the equation:
10y = 60 + 10
Adding 10 to both sides of the equation gives us:
10y = 70
To find the value of y, we divide both sides of the equation by 10:
y = 70/10
y = 7
Therefore, the missing value in the ordered pair (−10,?) is 7.
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For geometry please help
1. 1/48 simplified
2. ben is making bread that calls for 5 cups of flour. His measuring cup only holds 1/2 cup. How many times will Ben need to fill the measuring cup to get the 5 cups of flour?
Answer:
The answer is 10
Step-by-step explanation:
\( \frac{1}{2} x = 5 \\ x = 10\)
To rent a certain meeting room, a college charges a reservation fee of $46 and an additional fee of $6.70 per hour. The chemistry club wants to spend less than
79.50 on renting the mecting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for t.
79.50 = 46 + 6.70t
33.50 = 6.70 t
t = 5 hours
g(x)=2x-8, f(x)=5-g(x) what is the value of f(10)
By evaluating the function, we conclude that f(10) = -7
How to evaluate the function f(x)?
Here we know that:
g(x) = 2x - 8
And f(x) = 5 - g(x).
Then we can write:
f(x) = 5 - (2x - 8) = 5 - 2x + 8 = -2x + 13
Now we want ot evaluate it in x = 10, this means replace the variable by the number 10.
f(10) = -2*10 + 13 = -20 + 13 = -7
Then, we conclude that f(10) = 7
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Consider the flow in a converging-diverging nozzle. Down stream of the throat there is a test section with an area of 53 cm 2
,p=12kPa,rho=0.182 kg/m 3
, and V=760 m/s. Determine (a) the upstream throat area, (b) the stagnation temperature, and (c) the mass flow in the system. Answers are m
˙
=0.733 kg/s,T 0
=518 K,A ∗
=0.002 m 2
.
To determine the upstream throat area, stagnation temperature, and mass flow in the system of a converging-diverging nozzle, we need to apply the equations of fluid dynamics. Given the downstream test section parameters of area (A) = 53 cm^2, pressure (p) = 12 kPa, density (rho) = 0.182 kg/m^3, and velocity (V) = 760 m/s, we can calculate the required values.
(a) The upstream throat area (A*) can be determined using the mass flow rate equation, which states that mass flow rate (m_dot) is equal to the product of density, velocity, and area: m_dot = rho * V * A. Rearranging the equation, we have A* = m_dot / (rho * V). Substituting the given values, we find A* = 0.733 kg/s / (0.182 kg/m^3 * 760 m/s) = 0.002 m^2.
(b) The stagnation temperature (T0) can be calculated using the isentropic relations. We need to use the specific heat ratio (gamma) of the gas, which is typically given for a specific fluid. Assuming a value of gamma = 1.4 for air, the relation is T0 = T / (1 + (gamma - 1) / 2 * M^2), where T is the static temperature and M is the Mach number. Given the information provided, we don't have the static temperature or Mach number, so we cannot calculate the stagnation temperature.
(c) The mass flow rate (m_dot) is already given as 0.733 kg/s.
In summary, we have determined the upstream throat area (A*) to be 0.002 m^2 and the mass flow rate (m_dot) to be 0.733 kg/s. However, we couldn't calculate the stagnation temperature (T0) without additional information about the static temperature and Mach number.
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Suppose there are two stocks and two possible states. The first state happens with 85% probability and second state happens with 15% probability. In outcome 1, stock A has 1% return and stock B has 12% return. In outcome 2, stock A has 80% return and stock B has -10% return. What is the covariance of their returns? What is the correlation of their returns?
The covariance of their returns is approximately 0.0149601.
To calculate the covariance of the returns of two stocks, we need to multiply the difference between each pair of corresponding returns by the probability of each state, and then sum up these products. The formula for covariance is as follows:
Covariance = (Return_A1 - Mean_Return_A) * (Return_B1 - Mean_Return_B) * Probability_1
+ (Return_A2 - Mean_Return_A) * (Return_B2 - Mean_Return_B) * Probability_2
Where:
- Return_A1 and Return_A2 are the returns of stock A in state 1 and state 2, respectively.
- Return_B1 and Return_B2 are the returns of stock B in state 1 and state 2, respectively.
- Mean_Return_A and Mean_Return_B are the mean returns of stock A and stock B, respectively.
- Probability_1 and Probability_2 are the probabilities of state 1 and state 2, respectively.
Let's calculate the covariance:
Return_A1 = 1%
Return_A2 = 80%
Return_B1 = 12%
Return_B2 = -10%
Probability_1 = 0.85
Probability_2 = 0.15
Mean_Return_A = (Return_A1 * Probability_1) + (Return_A2 * Probability_2)
= (0.01 * 0.85) + (0.8 * 0.15)
= 0.0085 + 0.12
= 0.1285
Mean_Return_B = (Return_B1 * Probability_1) + (Return_B2 * Probability_2)
= (0.12 * 0.85) + (-0.1 * 0.15)
= 0.102 - 0.015
= 0.087
Covariance = (Return_A1 - Mean_Return_A) * (Return_B1 - Mean_Return_B) * Probability_1
+ (Return_A2 - Mean_Return_A) * (Return_B2 - Mean_Return_B) * Probability_2
= (0.01 - 0.1285) * (0.12 - 0.087) * 0.85
+ (0.8 - 0.1285) * (-0.1 - 0.087) * 0.15
= (-0.1185) * (0.033) * 0.85
+ (0.6715) * (-0.187) * 0.15
= -0.00489825 + 0.01985835
= 0.0149601
To calculate the correlation of their returns, we divide the covariance by the product of the standard deviations of the returns of each stock. The formula for correlation is as follows:
Correlation = Covariance / (Standard_Deviation_A * Standard_Deviation_B)
Let's assume the standard deviations of the returns for stock A and stock B are known. If we use σ_A for the standard deviation of stock A and σ_B for the standard deviation of stock B, we can substitute these values into the formula to calculate the correlation. However, if you provide the standard deviations, I can provide a more accurate calculation.
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Herbert has sold 90, 45, 103 and 68 appliances in the last four months, respectively. How many appliances will he need to sell this month to maintain an average of at least 77 sales per month
Answer:
The sale this month = 79
Step-by-step explanation:
Let the amount he needs to sell this month = x
\(Average = \frac{sum\ of\ individual\ data\ }{number\ of\ entries}\)
\(Average= \frac{90\ +\ 45\ +\ 103\ +\ 68\ +\ x}{5}\)
Note that number of entries = number of months = 5
To maintain an average sales of 77, the amount of sale in month 5 is determined as follows:
\(77 = \frac{306\ +\ x}{5} \\cross-multiplying\\77\ \times\ 5\ = 306\ +\ x\\385 = 306\ +\ x\\x =385\ -\ 306\\x = 79\)
HELPPPPPPPPPP PLEASEEEEEEEEE ASAPPPPPPPPP
Answer: i'm pretty sure the first option is correct. she wrote it down correctly
3/12 and 5/x are equivalent ratios. solve for x
Answer:
x=20
Step-by-step explanation:
How I did it was I divided 3/12 to get .25 and 5 divided by .25 is 20. So x is equal to 20.
Expand the function.
f(x) = (3x - 1)3
Answer:
\((a-b)^3 = a^3 - b^3 - 3a^2b + 3ab^2\\\\a = 3x, \ b = 1\\\\(3x-1)^3 = (3x)^3 - (1)^3 - 3(3x)^2(1) + 3(3x)(1)^2\\\\\)
\(= 27x^3 - 1-3(9x^2)+ 9x\\\\=27x^3 -27x^2 +9x -1\)
The expanded form of the function f(x) = (3x - 1)³ is 27x³ - 9x² + 9x - 1.
We have,
To expand the function f(x) = (3x - 1)³, we can use the binomial expansion formula, which states:
(a + b)³ = a³ + 3a²b + 3ab² + b³
In this case,
a = 3x and b = -1.
Substituting these values into the formula, we get:
\((3x - 1)^3 = (3x)^3 + 3(3x)^2(-1) + 3(3x)(-1)^2 + (-1)^3\)
Simplifying further:
(3x - 1)³ = 27x³ - 9x³ + 9x - 1
Therefore,
The expanded form of the function f(x) = (3x - 1)³ is 27x³ - 9x² + 9x - 1.
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Your family decides to go to the Fox Theater to watch a
musical. There is valet parking (where someone parks your
car for you) available across the street. Your dad decides to
leave a tip of 15% to the valet person. The cost of parking
is $35. How much tip will he leave?
The cost of tip will he leave for the valet person is, $5.25.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Your dad decides to leave a tip of 15% to the valet person.
And, The cost of parking is $35.
Here, The cost of parking is $35.
Hence, The cost of tip for the valet person = 15% of $35
= 15/100 × $35
= $5.25
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1.2 The price of bread increased from R12 to R18. Calculate the percentage increase. AIULIUCI
Answer:
percentage increase = 50%
Step-by-step explanation:
percentage increase is calculated as
\(\frac{increase}{original}\) × 100%
increase = 18 - 12 = R 6 , then
percentage increase = \(\frac{6}{12}\) × 100% = 0.5 × 100% = 50%
40 + 3 = 15
HELPpppp
Step-by-step explanation:
uhm how do i help?
Answer:
umm the answer is actually 43...
Your car's back window is in the shape of a trapezoid with the dimensions shown.
The 16
-inch window wiper cleans a part of the window in a semicircular pattern.
What is the approximate area of the window that is not cleaned by the wiper?
The approximate area of the window that is not cleaned by the wiper is:
240 - 100.5 ≈ 139.5 square inches. Answer: \boxed{139.5}.
What is circle?
A circle is a geometric shape that consists of all points in a plane that are equidistant from a fixed point called the center.
To solve this problem, we need to find the area of the trapezoid and subtract the area of the semicircle.
The area of a trapezoid is given by the formula:
A = (a + b)h/2
where a and b are the lengths of the parallel sides, and h is the height (the perpendicular distance between the parallel sides).
In this case, we have:
a = 24 inches (the top parallel side)
b = 16 inches (the bottom parallel side)
h = 12 inches (the height)
Using the formula, we get:
A = (24 + 16) x 12/2
A = 240 square inches
The area of a semicircle is given by the formula:
A = πr²/2
where r is the radius of the circle.
In this case, the radius is half of the length of the wiper, so we have:
r = 16/2 = 8 inches
Using the formula, we get:
A = π(8²)/2
A ≈ 100.5 square inches
Therefore, the approximate area of the window that is not cleaned by the wiper is:
240 - 100.5 ≈ 139.5 square inches. Answer: \boxed{139.5}.
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Add.
(6x³ + 3x² − 2) + (x³ - 5x² − 3)
Express the answer in standard form. (Please and thank you)
Answer:
\(\\\sf7x^3 - 2x^2 - 5\)
Step-by-step explanation:
\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)
Remove parenthesis.
6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3
Rearrange:
6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3
Combine like terms to get:
7x^3 - 2x^2 - 5----------------------------------------
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Hope this helps! :)
Answer:
7x³ - 2x² - 5
Step-by-step explanation:
(6x³ + 3x² - 2) + (x³ - 5x² - 3)
Remove the round brackets.
= 6x³ + 3x² - 2 + x³ - 5x² - 3
Put like terms together.
= 6x³ + x³ + 3x² - 5x² - 2 - 3
Do the operations.
= 7x³ - 2x² - 5
____________
hope this helps!