See attachment
Substitute each equation for f(x) and g(x) as indicated, then simplify. Use the value of 4 for x in the final step.
Please for some help
Answer: does this help you?
Step-by-step explanation:
A junior baseball team plays 16 games each summer. last summer the team scored an average of 3.25 runs per game during the first half of the season. The team scored a total of 29 runs during the second half of the season. how many runs were scored by the team last season?
Answer:
928/65
Step-by-step explanation:
They played 16 games each summer. 16 divided by 3.25 is 32/65. 29 runs is 928/65. Sorry I couldn't help you with much.
It might be wrong.
just designed a cloister (a rectangular garden surrounded by a covered walkway on all four sides). the outside dimensions of the garden are 12 feets by 8 feet, and the area of the garden and the walkway together are 252 square feet. what is the width of the walkway?
The width of the rectangular walkway is 3 feet around.
The walkway has a uniform width around the rectangle.
Let the width of walkway be x
The total length of the garden and walkway will be (12+2x) feet
The total width of the walkway and garden would be (8+2x) feet
Area of the garden and the walkway together are 252 square
Let’s express this mathematically:
(8+2x)(12+2x) = 252
Let’s open the brackets;
96+ 16x+ 24x + 4x^2 = 252
4x^2 + 40x + 96 = 252
4x^2 + 40x + 96-252 = 0
4x^2 + 40x - 156 = 0
Let’s divide all through by 10. We have;
x^2 + 10x -39 = 0
X^2 +13x-3x-39 = 0
x(x + 13) -3(x+ 13) = 0
(x-3)(x + 13) = 0
x -3 = 0 or x + 13 = 0
x = 3 or -13
We ignore x = -13 since width cannot be negative in size
Therefore, the width of the rectangular walkway is 3 feet around.
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x−115=223
Please help
Answer:
338
Step-by-step explanation:
X - 115 = 223
Add 115 to both the sides
X - 115 + 115 = 223 + 115
x = 338
Answer:
338
Step-by-step explanation:
x - 115 =223
Collect terms
x = 223 + 115
x = 338
Hope this helps you!
pls mark as brainlest ans
Bye!
6\2*(2+1)=? Show me the steps plz
Step-by-step explanation:
6/2*(2+1)
6/2*3
18/2
9ans..
Yusuf made note of all the bicycles and cars he could see parked or locked on
a certain city block. All the cars had exactly four wheels, and all the bicycles
had exactly two wheels. How many wheels were on the block if there were 13
bicycles and 12 cars? How many wheels were on the block if there were x
bicycles and y cars?
Answer:
74 wheels
Step-by-step explanation:
there would be 74 wheels because 13 * 2 + 12 * 4 = 74
7t+4=102-7t
what’s
the
answer
please
??
Answer:
t=7
Step-by-step explanation:
Collect like terms
7t+7t=102-4
14t=98
t = 98/14
t=7
Answer:
t = 7
Step-by-step explanation:
Equation
7t + 4 = 102 - 7t
Solution
7t + 4 = 102 - 7t Add 7t to both sides
7t + 7t +4 = 102 - 7t + 7t Combine
14t + 4 = 102 Subtract 4 from both sides
14t + 4 - 4 = 102 - 4
14t =98 Divide by 14
14t / 14 =98/14
t =7
iris made bracelets with string and beads. She used x centimeters of string to make 7 bracelets. She used 17.8 centimeters of string for each bracelet. How much string did she use in all? Write an equation and use it to solve this problem.
Enter the correct answers in the boxes.
Equation:
centimeters
Hence, The correct answers in the boxes. she used 124.6 centimeters of string in all.
Given that Iris made 7 bracelets and used x centimeters of string. And, she used 17.8 centimeters of string for each bracelet.Now, let us write an equation to solve this problem.Let us assume that the total length of string used by Iris = y centimetersTherefore, the equation is:y = 7 × 17.8
We know that Iris made 7 bracelets. And she used 17.8 centimeters of string for each bracelet.
Therefore, total length of string used by Iris = 7 × 17.8 = 124.6 cm
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CAN ANYONE SAY WHAT IS 1 + 1 PLZ FAST FAST PLZ
Answer:
1+1???????? 1+1=2. :/
N is the set of odd natural numbers greater than 15 and less than 25. Use set notation to write the elements of N.
Answer:
N = {13,15,17,19} the answer 21 tho
Step-by-step explanation:
The natural numbers greater than 11 and less than 21 are 12 ,13,14,15,16,17,18,19 and 20
5. Consider the graph below.
Can some Somebody help me?? I don’t get it
¿Cuál de las siguientes fracciones es menor?
5/2 1/4 1/2 8/10
Answer:
\( \frac{5}{2} = 2.5 \\ \frac{1}{4} = 0.25 \\ \frac{1}{2} = 0.5 \\ \frac{8}{10} = 0.8 \\ 0.25 < 0.5 < 0.8 < 2.5\)
PLEASE HELP ME THIS IS VERY DIFFICULT FOR ME!!!
A better method to determine the more popular sport is by conducting a comprehensive, unbiased survey with a random sample
How to solvea. Concluding that baseball is more popular than soccer based on a poll at a championship event is not valid due to potential sample bias, self-selection bias, limited sample size, and question phrasing.
b. A better method to determine the more popular sport is by conducting a comprehensive, unbiased survey with a random sample of students in a neutral setting, using clear and unbiased questions that allow for all preferences
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Write a cosine function that has a midline of 2, an amplitude of 3 and a period of 7π/4.
PLS EXPLAIN! THXS!
Answer:
\(y=3\cos(\frac{8}{7}x)+2\)
Step-by-step explanation:
Recall
General cosine function: \(y=a\cos(bx+c)+d\)\(|a|\) represents the amplitude, or the distance between the maximum/minimum of the function and the midline\(\frac{2\pi}{|b|}\) represents the period, or the length of a cycle of the function which repeats continuously\(-\frac{c}{b}\) is the phase shift/vertical shift\(d\) is the midline, or the average between the maximum and the minimum, creating a horizontal center lineWe are given that the amplitude is \(a=3\) and that the equation of the midline is \(d=2\). Since we know the period to be \(\frac{7\pi}{4}\), we need to solve for \(b\) by setting up the equation \(\frac{7\pi}{4}=\frac{2\pi}{|b|}\):
\(\frac{7\pi}{4}=\frac{2\pi}{|b|}\\\\7\pi b=8\pi\\\\b=\frac{8}{7}\)
Hence, our cosine function will be \(y=3\cos(\frac{8}{7}x)+2\). See the attached graph for a visual.
In each graphic, the triangle was dilated to create the image triangle. Determine which scale factor was used for each dilation by dragging the correct scale factor to each graph.
pls help i well give brllant
The scale factor was used for each dilation are-
Part a: For ΔABC - scale factor = 2Part b: For ΔDEF - scale factor = 1/2Part c: For ΔGHJ - scale factor = 1/3Part d: For ΔKML - scale factor = 3Explain about the dilation:A transformation that changes the size of a figure is called a dilatation. This indicates that the preimage as well as image are similar and have been scaled up or down, respectively.
A dilatation that results in a reduction (imagine shrinking) or an enlargement (think stretching) produces a smaller or larger image, respectively.
Part a: For ΔABC
Length AB = 2 units
Length A'B' = 4 units
A'B' = 2 *AB
Thus, For ΔABC - scale factor = 2
Part b: For ΔDEF -
Length DF = 2 units
Length D'F' = 1 units
D'F' = 1/2 DF
Thus, For ΔDEF - scale factor = 1/2
Part c: For ΔGHJ -
Length GH = 3 units
Length G'H' = 1 units
G'H' = 1/3 GH
Thus, For ΔGHJ - scale factor = 1/3
Part d: For ΔKML -
Length KM = 2 units
Length K'M' = 6 units
K'M' = 3*KM
Thus, For ΔKML - scale factor = 3
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At 1:00 PM the water level in a pool's is 13 inches. At 2:30 pm the water level is 28 inches what is the constant rate of change
ANSWER
1/6 or 0.167 inches per minute
EXPLANATION
We want to find the constant rate of change of the water level.
To do this, we have to find the difference in water level, find the time taken, then divide the former by the latter.
Difference in water level is:
D = 28 - 13 = 15 inches
The time difference is:
H M
2 : 30
- 1 : 00
1 : 30
That is 1 hour 30 minutes.
In minutes, that is:
(60 * 1) + 30 = 60 + 30 = 90 mins
So, the constant rate of change of water level is:
\(\begin{gathered} \text{Rate = }\frac{15}{90} \\ \text{Rate = 1/6 or 0.167 inches per minute} \end{gathered}\)That is the constant rate of change of water level.
A field is 360 feet long and 160 feet wide. Sod can be purchased in squares in increments from 1 foot wide up to 7 feet wide. What is the largest size squares Steve can purchase with which he can cover the field completely without any gaps or overhangs?
Answer:
We need 1600 squares with a width of 6 feet to cover the entire field without any gaps nor overhangs.
Step-by-step explanation:
The number of squares required to cover the field is equal to the area of the field divided by the area of a square:
\(n = \frac{A}{l^{2}}\) (1)
Where:
\(n\) - Quantity of squares, in feet.
\(A\) - Area of the field, in square feet.
\(l\) - Length of each square, in feet.
If we know that \(A = 57600\,ft^{2}\), then we have the following hyperbolic function:
\(n = \frac{57600}{l^{2}}\)
Now we plot the function with the help of graphing tools, whose result is presented below. Please notice that quantity of squares must be an integer and we need 1600 squares with a width of 6 feet to cover the entire field without any gaps nor overhangs.
An experiment was conducted to measure the effectiveness of various feed supplements on the growth rate of chickens. A five number summary of the weights of the chicks in grams six weeks after hatching is as follows.
Min = 108
Q1 = 197
Median = 259
Q3 = 315
Max = 410
a. About____percent of the chicks weigh more than 196.
b. About____percent of the chicks weigh more than 263.
c. About____percent of the chicks weigh more than 317.
d. About_____percent of the chicks weigh between 196 and 317.
d) about 39.07% of the chicks weigh between 196 and 317.
To answer these questions, we can use the provided five-number summary and apply the concepts of quartiles and percentiles.
a. To find the percentage of chicks weighing more than 196, we need to calculate the percentage above the first quartile (Q1). The first quartile (Q1) represents the 25th percentile, meaning 25% of the chicks weigh less than or equal to Q1.
The percentage of chicks weighing more than 196 is therefore:
100% - 25% = 75%
Therefore, about 75% of the chicks weigh more than 196.
b. Similarly, to find the percentage of chicks weighing more than 263, we need to calculate the percentage above the median. The median represents the 50th percentile, so 50% of the chicks weigh less than or equal to the median.
The percentage of chicks weighing more than 263 is:
100% - 50% = 50%
Therefore, about 50% of the chicks weigh more than 263.
c. To find the percentage of chicks weighing more than 317, we need to calculate the percentage above the third quartile (Q3). The third quartile (Q3) represents the 75th percentile, meaning 75% of the chicks weigh less than or equal to Q3.
The percentage of chicks weighing more than 317 is:
100% - 75% = 25%
Therefore, about 25% of the chicks weigh more than 317.
d. To find the percentage of chicks weighing between 196 and 317, we need to calculate the percentage between the first quartile (Q1) and the third quartile (Q3). The difference between the first quartile and the third quartile represents the interquartile range (IQR).
The percentage of chicks weighing between 196 and 317 is the percentage within the IQR:
Q3 - Q1 = 315 - 197 = 118
Percentage within the IQR = (118 / (Max - Min)) * 100
= (118 / (410 - 108)) * 100
= (118 / 302) * 100
≈ 39.07%
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How can you add 172+312 what dies it equal?
select all expressions equivalent
Using polar coordinates, evaluate the integral sin (x^2+y^2)dA where R is the region 9 < or = x^2 + y^2 < or = 64.
The value of integral sin (x^2+y^2)dA is 2π(cos(9) - cos(64)).
To evaluate this integral using polar coordinates, we first need to express the region R in terms of polar coordinates. In polar coordinates, the equation of a circle with radius r is given by r^2 = x^2 + y^2. So, the region R can be expressed as 3 < or = r < or = 8.
Now, we can express the integral in polar coordinates:
∫∫R sin (x^2+y^2)dA = ∫θ=0 to 2π ∫r=3 to 8 sin (r^2) r dr dθ
We integrate first with respect to r, then with respect to θ:
∫θ=0 to 2π ∫r=3 to 8 sin (r^2) r dr dθ
= ∫θ=0 to 2π [-cos(64) + cos(9)] dθ
= 2π(cos(9) - cos(64))
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Can someone help with my homework please I really need your help
Answer:
say how can I help you bro
what is -4x+20≥28 i need to fast though
Answer:
\(x\leq -2\)
Step-by-step explanation:
Solve for x:
\(-4x+20\geq 28\)
Subtract 20 on both sides
\(-4x\geq 8\)
Flip the sign and multiply both sides by -4
\(16x\leq -32\)
Divide by 16
\(x\leq -2\)
Alex and Freddy collect stamps. The number of stamps in Alex’s collection to the number of stamps in Freddy’s collection is in the ratio of 3:5. How much more stamps does Freddy have if together they have 136 stamps?
Answer:
81.6
Step-by-step explanation:
divide 136 by 5 when you get the answer to that you multiply by 3 and that's your answer
Answer:
81.6
Step-by-step explanation:
Divide than multiply
are the results of studies due to adding up a large number of random events?
Answer:
Step-by-step expla
The statistical technique that combines results of a large number of studies is called meta-analysis.
It means that you will take data from various sources, such as studies, combine them together, and then create this mixture of various results that you can use in your own research. If something occurs often in those studies, it means that it is good and reliable information.
The lump sum needed to be invested in an account that pays 6.6% compounded daily in terms of getting about $10,000 in 10 years is $ A
Answer:
To the lump sum needed to be invested to receive $10,000 in 10 years at 6.6% interest compounded daily, we can use the present value formula:
PV = FV / (1 + r/n)^(n*t)
where PV is the present value or the initial investment, FV is the future value or the amount we want to end up with, r is the annual interest rate in decimal form, n is the number of times the interest is compounded per year, and t is the time in years.
Plugging in the numbers, we get:
PV = 10000 / (1 + 0.066/365)^(365*10)
= 4874.49
Therefore, the lump sum needed to be invested is about $4,874.49.
Find the area of the complex figure
Zachary purchased a computer for $1,800 on a payment plan. Three months after he purchased the computer, his balance was $1,365. Four months after he purchased the computer, his balance was $1,220. What is an equation that models the balance y after x months?
Consider the function f(x)=x^3−3x^2.
(a) Using derivatives, find the intervals on which the graph of f(x) is increasing and decreasing.
(b) Using your work from part (a), find any local extrema.
(c) Using derivatives, find the intervals on which the graph of f(x) is concave up or concave down.
(d) Using your work from part (c), find any points of inflection.
(a) The graph of f(x) is increasing on the intervals (-∞, 0) and (2, ∞), and decreasing on the interval (0, 2).
(b) The local maximum occurs at x = 0 and the local minimum occurs at x = 2.
(c) The graph of f(x) is concave up on the interval (1, ∞) and concave down on the interval (-∞, 1).
(d) The point of inflection occurs at x = 1.
(a) To find the intervals on which the graph of f(x) is increasing or decreasing, we need to analyze the sign of the derivative of f(x).
Step 1: Find the derivative of f(x).
f'(x) = d/dx(x³ - 3x²) = 3x² - 6x
Step 2: Set the derivative equal to zero and solve for x to find critical points.
3x² - 6x = 0
Factor out common terms:
3x(x - 2) = 0
This gives two critical points: x = 0 and x = 2.
Step 3: Determine the sign of the derivative in different intervals.
We choose test points within each interval and evaluate the derivative at those points.
Test x = -1:
f'(-1) = 3(-1)² - 6(-1) = 3 + 6 = 9 (positive)
Test x = 1:
f'(1) = 3(1)² - 6(1) = 3 - 6 = -3 (negative)
Test x = 3:
f'(3) = 3(3)² - 6(3) = 27 - 18 = 9 (positive)
Based on these results, we can determine the intervals of increasing and decreasing.
Intervals of increasing: (-∞, 0) and (2, ∞)
Intervals of decreasing: (0, 2)
(b) Local extrema occur at the critical points of the function. From part (a), we found the critical points x = 0 and x = 2.
To determine if these critical points are local extrema, we can analyze the sign of the derivative around these points.
For x = 0:
f'(-1) = 9 (positive) to the left of 0
f'(1) = -3 (negative) to the right of 0
Since the derivative changes sign from positive to negative, x = 0 is a local maximum.
For x = 2:
f'(1) = -3 (negative) to the left of 2
f'(3) = 9 (positive) to the right of 2
Since the derivative changes sign from negative to positive, x = 2 is a local minimum.
(c) To find the intervals of concavity for the graph of f(x), we need to analyze the sign of the second derivative, f''(x).
Step 1: Find the second derivative of f(x).
f''(x) = d/dx(3x² - 6x) = 6x - 6
Step 2: Set the second derivative equal to zero and solve for x to find any inflection points.
6x - 6 = 0
6x = 6
x = 1
Step 3: Determine the sign of the second derivative in different intervals.
Test x = 0:
f''(0) = 6(0) - 6 = -6 (negative)
Test x = 2:
f''(2) = 6(2) - 6 = 6 (positive)
Based on these results, we can determine the intervals of concavity.
Intervals of concave up: (1, ∞)
Intervals of concave down: (-∞, 1)
(d) The point of inflection occurs at x = 1 since the second derivative changes sign from negative to positive at that point.
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Which expression will complete step 3 in the proof?
Answer:
D is the answer
Step-by-step explanation:
EDGE 2020