Answer:
30%
Step-by-step explanation:
Let's first convert the 2.5 hours into minutes so we have the same units.
1 hour = 60 minutes
2.5 x 60 = 150 minutes
Now we can use the percentage formula.
(value/total value) x 100 = percentage
Since the question is asking what percent of 2½ hours is 45 minutes, we plug in the formula like this.
(45/150) x 100 = 30%
tadah!
PLEASE HELP I NEED THIS SOON! The monthly revenue of a digital magazine from each user is represented by the function f(x) = 4x + 1. The monthly cost to provide the digital magazine to each user per month is represented by the function g(x) = x2. Which of the following evaluates the profit function for each user of the digital magazine after 2 months?
A (f • g)(2) = (4(2) + 1)(22) = (9)(4) = $36
B (f + g)(2) = (4(2) + 1) + 22 = 9 + 4 = $13
C (g − f)(2) = 22 − (4(2) + 1) = 4 − 9 = −$5
D (f − g)(2) = (4(2) + 1) − 22 = 9 − 4 = $5
Answer:
The answer is D(f-g)
Step-by-step explanation:
Profit minus expenses
Answer:
D
Step-by-step explanation:
The profit can be defined as (cost of production) - (revenue) and since the cost is defined as g(x) = x^2 and the revenue is f(x) = 4x+1. The profit can be defined as \((f-g) = (4x+1)-x^2 = -x^2+4x+1\). After 2 months you can calculate the profit by simply plugging in 2 as x. This gives you the equation: \((f-g) = (4(2) + 1) - 2^2 = 9-4 = 5\$\)
carson kelly, a catcher for the arizona diamondbacks, hit 18 home runs in 2019. if his home-run-hitting ability is expected to grow by 12 percent every year for the following five years, how many home runs is he expected to hit in 2024?
Carson Kelly is expected to hit approximately 31 home runs in 2024.
To find how many home runs Carson Kelly is expected to hit in 2024, we can use the formula for compound interest, where the initial amount is the number of home runs he hit in 2019, and the interest rate is the expected growth rate of his home run hitting ability, which is 12 percent or 0.12 as a decimal.
Let H be the number of home runs hit in 2019, and H(n) be the number of home runs hit in year n, then we can write:
H(n) = H * (1 + r)^n
Where r is the growth rate, and n is the number of years into the future.
If we plug in the given values, we can find the number of home runs Carson Kelly is expected to hit in 2024, which is 5 years after 2019.
H = 18 (number of home runs in 2019)
r = 0.12 (growth rate)
n = 5 (number of years into the future)
H(5) = 18 * (1 + 0.12)^5
H(5) = 18 * 1.7623
H(5) = 31.9214
It's important to note that this is simply an estimate based on the given growth rate, and the actual number of home runs he hits in 2024 may vary based on many factors, including injuries, team support, and the skill of opposing pitchers, among others.
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Plz help me ASAP, Plz show the working so i know you did it, Thank you so much
Step-by-step explanation:
Let's use PEMDAS here
P: N/A
E: To transform \(5^{x}\) to \(5^{3x}\), we put \(5^{x}\) to the power of 3.
M: We multiply 2 to \(5^{3x}\), stretching the function by 2
M: We multiply -1 to \(2*5^{3x}\), flipping the function vertically over x=0 (this is interchangeable with multiplying 2)
D: N/A
A: We add 8, moving the function to the right by 8
S: N/A
Let f(x) = 7+ √5x-5. Find f(x). f-1(x) =
f(x) = 7 + √5x - 5
= √5x + 2
Therefore, f(x) = √5x + 2.
To find f-1(x), we need to find the inverse function of f(x). We can do this by swapping x and y and solving for y:
x = √5y + 2
x - 2 = √5y
(x - 2)² = 5y
y = ((x - 2)²)/5
Therefore, f-1(x) = ((x - 2)²)/5.
In summary, f(x) is equal to the square root of 5x plus 2, while f-1(x) is equal to ((x - 2)²)/5.
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a red cap fire hydrant provides 1700 liters per minute of water. how long (in minutes to the nearest minute) will it take to fill a water truck with a tank of the following dimensions: 68 inches diameter and 24 feet long? when the tank is full of water, how heavy will the water load be in pounds (lbm) to the nearest pound?
It will take approximately 8 minutes to fill the water truck, and the weight of the water load will be approximately 30,296 pounds.
How to find out how long it will take to fill the tank.First, we need to convert the dimensions of the tank from inches to feet:
68 inches diameter = 68/12 feet = 5.67 feet diameter
24 feet long = 24 feet long
Next, we can calculate the volume of the tank in cubic feet:
Volume = \(pi x (diameter/2)^2 x length\)Volume = \(3.14 x (5.67/2)^2 x 24\)Volume = \(485.15 cubic feet\)Since 1 cubic foot of water weighs 62.4 pounds, we can calculate the weight of the water in the tank in pounds:
Weight = Volume x DensityWeight = 485.15 x 62.4Weight = 30,296.16 poundsTo find out how long it will take to fill the tank, we can use the flow rate of the fire hydrant:
Flow rate = 1700 liters per minute1 liter = 0.264172 gallonsFlow rate = 1700 x 0.264172 = 449.10 gallons per minute1 gallon = 0.133681 cubic feetFlow rate = 449.10 x 0.133681 = 60.05 cubic feet per minuteFinally, we can divide the volume of the tank by the flow rate to find out how long it will take to fill the tank:
Time = Volume / Flow rateTime = 485.15 / 60.05Time = 8.08 minutesTherefore, it will take approximately 8 minutes to fill the water truck, and the weight of the water load will be approximately 30,296 pounds.
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How much change would Zachary receive if he paid for a video game that cost $39.99 with 7% sales tax and paid for it with a $50-bill? Explain your reasoning and show your work.
Answer:
$7.21
Step-by-step explanation:
Total after sales tax:
$39.99 × 1.07 = $42.79
Change: $50.00 - $42.79 = $7.21
Find the distance between the two points. Write your answer as a
decimal rounded to the hundredths place if needed.
(4,9) and (11, -12)
The distance between the two points is 22.14 units
How to determine the distance between the two points?The endpoints of the line segment are given as
(4,9) and (11, -12)
This can be rewritten as
(x, y) = (4,9) and (11, -12)
The distance between the endpoints of the segment is then calculated using the following distance formula
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where
(x, y) = (4,9) and (11, -12)
Substitute the known values in the above equation, so, we have the following representation
Distance = √[(4 - 11)² + (9 + 12)²]
Evaluate
Distance = 22.14
Hence, the distance is 22.14 units
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YYYOOO!!! Anyone!!! Help me, just real quick (quadratic equation factoring)
What is the only solution of 2x2 + 8x = x2 – 16?
And please... Don't be useless
Answer:
the answer is x=-4
Step-by-step explanation:
8 points
3. A garden in the shape of a regular octagon has a perimeter of 144 feet.
How many square feet of planting space does it have?
3128.8 square feet
543.2 square feet
Ο Ο Ο
1564.4 square feet
782.2 square feet
How much parent nuclide remains after three half-lives have elapsed? A. 0% B. 6.25% C. 12.5% D. 30% 29. If a sample of radioactive material contains 17% daughter nuclide, what percentage of parent nuclide is present in the sample? A. 0% B. 17% C. 50% D. 83% 30. The isotope used to determine the absolute age of organic remains is A. carbon-14 B. carbon-12 C. uranium-235 D. uranium-238 31. The half-life of carbon-14 is 5730 years. How old is a bone fragment if the proportion of carbon-14 remaining is 25%? A. 2865 a B. 5760 a C. 11 460 a D. 17 190 a
Answer:
In order of the questions asked, the answers are, C, D, A, C
Step-by-step explanation:
After three half-lives have elapsed, 12.5% of the original nuclide remains, so the answer is C.
if 17 % is daughter nuclide, then 83% is parent nuclide, so , the answer is D
the isotope for dating organic remains is A. carbon-14
for 25% of original, 2 half-lives must have passed, so we get (2)(5730) = 11460
so the answer is C
The vertex of this parabola is at 2, -1 When the y-value is 0 the x value is 5 what is the coefficient of the squared term in the parabola equation.
A. -3
B. -4
C. 4
D. 3
Answer:
\(\large \boxed{\sf \frac{1}{9}}\)
Step-by-step explanation:
\(\sf y=a(x-h)^2+k\)
\(\sf Vertex = (h,k)\)
y-value is 0 and the x value is 5
h = 2
k = -1
\(\sf 0=a(5-2)^2+-1\)
Solve for \(\sf a\) (the coefficient of the squared term).
\(\sf 0=a(3)^2+-1\)
\(\sf 0=9a-1\)
\(\sf 9a=1\)
\(\displaystyle \sf a=\frac{1}{9}\)
The coefficient of the squared term in the parabola equation is 1/9.
Answer:
Fot this parabola the coefficient for squared term is 7
Step-by-step explanation:
The formula for vertex equation is:
x = a*(y-h)^{2}+kx=a∗(y−h)
2
+k
if vertex is at (-3,-1) and in the formula the vertex is (k,h), we replace this values
x = a*(y +1)^{2} -3x=a∗(y+1)
2
−3
The other point of this parabola is (4,0), so we replace it in the formula below:
4 = a*(0 + 1)^{2} -34=a∗(0+1)
2
−3
4 = a*(1)-34=a∗(1)−3
4 +3= a*(1)4+3=a∗(1)
a=7a=7
If Angie spins the spinner 250 times, predict the number of times it will land on green.
Outcome Freq. Red 4 Green 10 Blue 6
Answer: 2500
Step-by-step explanation: 250 spins times the amount of greens expected equals 2500.
A study of parents of kindergarteners included 349 parents who were chosen at
random. Of these parents, 47% said they sent their children to pre-kindergarten. School
records show that only 31% of parents of kindergarteners sent their children to pre-
kindergarten. Identify the statistic and the parameter.
Three hundred forty-nine is the parameter and 47% is the statistic.
Three hundred forty-nine is the statistic and 47% is the parameter.
Three hundred forty-nine is the parameter and 31% is the statistic
Forty-seven percent is the parameter and 31% is the statistic
Forty-seven percent is the statistic and 31% is the parameter
Answer:
Forty-seven percent is the statistic and 31% is the parameter
Step-by-step explanation:
Various terms are used in mathematics when it comes to carrying out particular studies in statistics.
A) Parameter
A parameter when is comes to statistical studies can be defined as the term that tells us more about a group or population of people.
B) Statistic
Statistic is a measure that tells us about is a characteristic of a sample or part of a given population.
In the above question, we are told that: a study of parents of kindergarteners included 349 parents who were chosen at random. Of these parents, 47% said they sent their children to pre-kindergarten. School records show that only 31% of parents of kindergarteners sent their children to pre- kindergarten.
According to the definition of Parameter and Statistic that I explained above,
A) The Parameter is 31% . This is
because it tell us about percentage ( a sample) of parents whose children are in kindergarten that sent their children to prekindergarten first.
B) The Statistic is 47% . This is because, it tell us about the percentage of parents that sent their children to prekindergarten.
Find x if AB = x-6, BC = 7,
and AC= -8 + 2x.
Answer:
9
Step-by-step explanation:
set up the equation: ab+bc=ac
(x-6) + 7 = (-8+2x)
Step 1: Simplify both sides of the equation.
x−6+7=−8+2x
x+−6+7=−8+2x
(x)+(−6+7)=2x−8(Combine Like Terms)
x+1=2x−8
x+1=2x−8
Step 2: Subtract 2x from both sides.
x+1−2x=2x−8−2x
−x+1=−8
Step 3: Subtract 1 from both sides.
−x+1−1=−8−1
−x=−9
Step 4: Divide both sides by -1.
−x/−1 = −9 /−1
x=9
write the standard form or the equation of the line described: (-3,-1), perp to y= -3/2x -4
The equation of the required line is y = (2/3)x + 1
For given question,
We need to find an equation of the line passing through the point (-3, -1) and perpendicular to the line y = (-3/2)x - 4
Let m1 be the slope of required line and m2 be the slope of the line y = (-3/2)x - 4
so, m2 = -3/2
As required line is perpendicular to the line y = (-3/2)x - 4
⇒ m1 × m2 = -1
⇒ m1 × (-3/2) = -1
⇒ m1 = 2/3
So, the slope of the required line is 2/3.
Let (x1, y1) = (-3, -1)
Using slope-point form of the line, the required equation of the line would be,
⇒ (y - y1) = m(x - x1)
⇒ (y - (-1)) = 2/3 (x - (-3))
⇒ y + 1 = 2/3 (x + 3)
⇒ y + 1 = 2/3 x + 2
⇒ y = (2/3)x + 2 - 1
⇒ y = (2/3)x + 1
Therefore, the equation of the required line is y = (2/3)x + 1
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Where is (2,-6) located on the coordinate plane?
Is it y-Axis or A-axis and what quadrant ?
Answer:
(2, -6) 2 is on the x-axis and -6 is on the y-axis.
Step-by-step explanation: X-Axis is horizontal and Y is vertical. X can also be remembered as left to right. Y-axis runs up and down. It would be in the IV (fourth) quadrant.
Answer:
Step-by-step explanation:
its in the forth box
Use a number line to create a sign chart of each polynomial function
F(x)=-(x+5)(x-2)(2x-4)(x-4)^2
To create a sign chart for the polynomial function F(x) = -(x+5)(x-2)(2x-4)(x-4)², we will examine the intervals defined by the critical points and the zeros of the function.
Analyzing the Sign Chart1. Determine the critical points -
- The critical points occur where the factors of the polynomial change sign.
- The critical points are x = -5, x = 2, x = 4, and x = 4 (repeated).
2. Select test points within each interval -
- To evaluate the sign of the polynomial at each interval, we choose test points.
- Common choices for test points include values less than the smallest critical point, between critical points, and greater than the largest critical point.
- Let's choose test points - x = -6, x = 0, x = 3, and x = 5.
3. Evaluate the sign of the polynomial at each test point
- Plug in the test points into the polynomial and determine the sign of the expression.
The sign chart for F(x) = -(x+5)(x-2)(2x-4)(x-4)² would look like this
Intervals Test Point Sign
-∞ to -5 -6 -
-5 to 2 0 +
2 to 4 3 -
4 to ∞ 5 +
Note - The signs in the "Sign" column indicate whether the polynomial is positive (+) or negative (-) in each interval. See the attached sign chart.
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What is the interest rate if…
Principal = $1,250
Time = 4 years
Interest = $285.
I'd rather be listening to music than this du.mb stuffff
I don't know the answer but same
Sorry ✨
I NEED HELP BAD and none ever answers my question I will give brainiest and everything HEEEEEELLLLLP!!!
Answer:
You didn't put a picture to fit your question.
Step-by-step explanation:
Is this intentional?
Answer:
but where is question??????????????
Find the Fourier transform for a signal that has a Laplace transform (LT) given by
() = &
'"( , {} > −3
Q6. (4 marks)
Find the inverse Laplace transform (LT) of () = &
'"( , {} < −3
The Fourier transform of a function with a Laplace transform can be obtained by substituting s = jw into the Laplace transform expression and applying some algebraic manipulation.
Given () = exp(-3s), we substitute s = jw:
() = exp(-3jw)
To obtain the Fourier transform F(w), we divide both sides by 2π and multiply by the complex conjugate of the denominator:
F(w) = 1/(jw + 3)
This is the Fourier transform of the signal.
For the inverse Laplace transform, we can use the property that the inverse Laplace transform of 1/(s + a) is the exponential function exp(-at).
Therefore, the inverse Laplace transform of () = 1/(s + 3) is f(t) = exp(-3t).
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Pls, HELP ASAP!!!!!!!!!!!!!!!!!
The locations of student desks are mapped using a coordinate plane where the origin represents the center of the classroom. Maria's desk is located at (5, −1), and Monique's desk is located at (−2, 4). If each unit represents 1 foot, what is the distance from Maria's desk to Monique's desk?
square root of 10 feet
square root of 72 feet
square root of 74 feet
square root of 100 feet
Answer: it’s the square root of 10
Step-by-step explanation: I took this test
Answer:\(\sqrt{74}\)
Step-by-step explanation:
Chipwich Summer Camp surveyed 100 campers to determine which lake activity was their favorite. The results are given in the table.
Lake Activity Number of Campers
Kayaking 15
Wakeboarding 11
Windsurfing 7
Waterskiing 13
Paddleboarding 54
If a circle graph was constructed from the results, which lake activity has a central angle of 46.8°?
Kayaking
Wakeboarding
Waterskiing
Paddleboarding
The lake activity with central angle of 46.8° is Waterskiing. The Option C.
Which lake activity has a central angle of 46.8°?The total number of campers surveyed is 100.
The percentage of campers for each activity is as follows:
Kayaking: 15%Wakeboarding: 11%Windsurfing: 7%Waterskiing: 13%Paddleboarding: 54%To calculate the central angle for each activity, we can use the formula: \(Central angle = Percentage * 360°\)
Kayaking:
= 15% * 360°
= 54°
Wakeboarding:
= 11% * 360°
= 39.6°
Windsurfing:
= 7% * 360°
= 25.2°
Waterskiing:
= 13% * 360°
= 46.8°
Paddleboarding:
= 54% * 360°
= 194.4°
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Maria donates a fixed amount, a, to a charity each month. If she donates $300 in 12 months, what is the equation for a? A. a + 300 = 12 B. a × 300 = 12 C. a × 12 = 300 D. a + 12 = 300 E. a + 32 = 100
Answer:
a times 12=300
Step-by-step explanation:
donated each month a should be 25. $25 times 12 equals 300
Answer:
C.
a × 12 = 300
Step-by-step explanation:
match each terminology with its corresponding definition prompt 1producer surplus answer for prompt 1 producer surplus the point where the supply and demand curve intersect each other. prompt 2equilibrium answer for prompt 2 equilibrium the point where the supply and demand curve intersect each other. prompt 3consumer surplus answer for prompt 3 consumer surplus prompt 4the total energy used answer for prompt 4 the total energy used
Answer: A) The profit made by producers when the market price is greater than the minimum price they are willing to sell the product for.
Answer: B) The point at which the supply and demand curves intersect, indicating that supply and demand are equal.
Answer: C) The difference between the amount consumers are willing to pay for a good or service and the actual price they pay.
Answer: D) The amount of energy consumed by a system or a product.
The match between the terminology and the definition is given below:
Prompt 1: Producer SurplusThe difference between the price a producer receives for a good and the minimum price they would be willing to accept for that good.
Prompt 2: EquilibriumThe point where the supply and demand curves intersect each other, determining the market price and quantity of a good or service.
Prompt 3: Consumer SurplusThe difference between the maximum price a consumer is willing to pay for a good or service and the actual price they pay.
Prompt 4: Total Energy UsedThe amount of energy consumed by a system or a product i.e., The sum of all energy used in a given system or process.
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need help solving the equation, trying to figure whether I multiply or divide.
Answer:
m∠B = 43°
b = 26.1
c = 38.3
Step-by-step explanation:
By applying triangle sum in the given triangle,
47° + 90° + m∠B = 180°
137° + m∠B = 180°
m∠B = 43°
By applying sine ratio to the angle measuring 47°.
sin(47°) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)
= \(\frac{28}{c}\)
c = \(\frac{28}{\text{sin}(47^{\circ})}\)
c = 38.28
c ≈ 38.3
By applying cosine rule,
cos(47°) = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)
= \(\frac{b}{c}\)
= \(\frac{b}{38.3}\)
b = 38.3[cos(47°)]
b = 26.1
Solve 47 = -3 + 8y.
Answer:
Answer is y = 25/4
a rectangle is drawn so the width is 49 inches longer than the height. if the rectangle's diagonal measurement is 61 inches, find the height.
Refer to the attachment for figure:
The height of the rectangle = 11 inches
What is rectangle?
A rectangle is a type of quadrilateral with parallel sides equal to each other and four equal 90-degree vertices. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.
Let x= height
Width becomes x+49
Diagonal BD=61 inches
By pythagoras theorem,
BD²=BC²+CD²
61²= (x+49)²+x²
3721=x²+98x+2401+x²
On simplification,
x²+49x-660=0
Find the factors
(x+60)(x-11)=0
x=-60, x=11
Consider positive value for height
height = 11 inches
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can someone please help me graph this ? not rlly sure
The graph of the given equation is attached below.
Plotting a line graphThe equation of a line in slope-intercept form is expressed as y = mx + b.
Given an xy plane, we are to plot the graph of the given equation
y = -2/3 x + 1
The given equation has a slope of -2/3 and a y-intercept of 1. This shows that the constructed line must cut the y-axis at the point (0, 1).
The graph of the equation is attached below.
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Help? This 9th grade math
Answer:
x = 47 degrees
Step-by-step explanation:
ok so the 2 lines m and n are parallel while going through line t
so since this is true
x is the same as the corresponding angle which is 47 degrees
x = 47 degrees