Answer:
yes
Step-by-step explanation:
even though x<10 you can still use 9.99 and so forth and 11.879 + 9.99 = 21.869 which is more than 21.709
Lets solve
\(\\ \sf\longmapsto 11.879+x<21.709\)
\(\\ \sf\longmapsto x<21.709-11.879\)
\(\\ \sf\longmapsto x<9.83\)
Hence
Answer is No
The soccer ball weighs 435 grams. The football weighs 410 grams. How many more grams does the soccer ball weigh?
450g
845g
25g
100g
Answer: 25 grams
Step-by-step explanation: 435-410
Omar rented a jet ski for an afternoon. The fees include $86 for each hour the jet ski is rented and $15 for a life vest. Which of the following quantities would not be represented using a variable? A: The rental fee for the jet ski. B: The rental fee for the life vest. C: The total cost of renting the jet ski. The length of time D: mar rented the jet ski.
Answer:
D
Step-by-step explanation:
the awnser would be d
The awnser would be d because there is no number sequences to make a variable because it is just telling you that mar rented the jet ski
kylie works for a large nursery and is investigating whether to use a new brand of seeds. the new brand of seeds advertises that 93% of the seeds germinate, which is higher than the germination rate of the seeds she is currently using. she will change over to this new brand unless the actual germination rate is less than what is advertised. kylie conducts an experiment by randomly selecting 76 seeds of the new brand and plants them. she finds that 70 of those seeds germinated. what are the null and alternative hypotheses for this hypothesis test?
The null and alternative hypotheses for this hypothesis test is H₀ : p = 0.93, Hₐ : p > 0.93.
What is Hypothesis ?A hypothesis in a scientific context, is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.
What is Null and Alternative Hypotheses?Null and alternative hypotheses are used in statistical hypothesis testing. The null hypothesis of a test always predicts no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship.
Let 'p' be the population proportion.
Given statement : The new brand of seeds advertises that 93% of the seeds germinate, which is higher than the germination rate of the seeds she is currently using.
Since null hypothesis shows that there is no significant difference between the quantities where as alternative hypothesis believes that there is some difference,
Hence, the null and alternative hypotheses for this hypothesis test will be :- H₀ : p = 0.93
Hₐ : p > 0.93
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find the average value of the function f over the given region. f(x,y) = 1/xy; R = {{x,y): 1≤x≤4, 1≤y≤4}
The average value of the function f(x, y) = 1/(xy) over the region R = {{(x, y): 1 ≤ x ≤ 4, 1 ≤ y ≤ 4}} can be found by calculating the double integral of f(x, y) over the region R and dividing it by the area of R. The average value of f(x, y) over R is approximately 0.356.
To find the average value of f(x, y) over the region R, we need to calculate the double integral of f(x, y) over R and divide it by the area of R.
The double integral of f(x, y) over R can be written as:
∬R (1/(xy)) dA
Where dA represents the infinitesimal area element.
To evaluate this integral, we integrate with respect to y first, and then with respect to x, using the given bounds of x and y:
∬R (1/(xy)) dA = ∫[1 to 4] ∫[1 to 4] (1/(xy)) dy dx
Integrating with respect to y:
∫[1 to 4] (ln|x|/x) dx
Next, we integrate with respect to x:
∫[1 to 4] (ln|x| - ln(1))/x dx = ∫[1 to 4] ln|x|/x dx
Evaluating the integral:
[ln|x|²/2] evaluated from 1 to 4 = (ln|4|²/2) - (ln|1|²/2) = (ln(16)/2) - 0 = ln(16)/2
Now, to find the area of R, we use the formula for the area of a rectangle:
Area = (upper bound of x - lower bound of x) * (upper bound of y - lower bound of y) = (4 - 1) * (4 - 1) = 9
Finally, we divide the double integral by the area to obtain the average value:
Average value = (ln(16)/2) / 9 ≈ 0.356
Therefore, the average value of the function f(x, y) = 1/(xy) over the region R is approximately 0.356.
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Mr. Johnson is going to buy an 18 3/4 pound turkey for Thanksgiving. The turkey cost $2.80 per pound at the grocery store. if the grocery store runs a 20% discount on turkeys, how much will Mr. Johnson save (before taxes)?
A. $1.05
B. $3.75
C. $10.50
D. $42.00
Answer:
D)$42.00
Step-by-step explanation:
18 3/4 is equal to 18.75, so 18.75x2.80 is your original cost (52.5). After doing that, since 52.5=100% you are going to divide 52.5 by 5 since 20x5=100. So 20% is 10.5. 52.5-10.5= $42.00
For a special movie premiere, the theater owner decided to charge $20 per ticket for the first r rows of the theater and $15 for the remaining rows. 2. Explain how you could find the owner's total income if you knew the value of r and you knew that all tickets were sold. 3. Suppose r=16. A. Find the income in the first r rows if all of the tickets were sold. B. Find the income in the remaining r rows if all of the tickets were sold. C. Find the total income for r=16. 4. Write and simplify an expression for the owner's profit if tickets are priced at $20 per ticket in the first r rows and $15 per ticket in the remaining rows, if all seats are sold. 5. Evaluate the expression you wrote in Question 4 for r=16 and show that the result equals your answer in Question 3c.
Answer & Step-by-step explanation:
2. Total income = Income from first r rows + Income from other last rows
[(Price per first r rows' seat ) x (no of first r rows) x (no of seats per first r row) ] + [ (Price per other last rows' seat ) x (no of last rows) x (no of seats per last row) ]
= [ 20 x (r) x (no of seats per first r row) ] + [ 15 x (other last ie 'total - r' rows) x no of seats per last row
3. 20 x 16 x (no of seats per first r row) = 320 x (no of seats per first r row)
4. 15 x (other last ie 'total - 16' rows) x no of seats per last row
Josselin downloaded 84 pictures from her cell phone to her computer. Theses pictures took up 420 megabytes of space on her computer. Each picture took same amount of space. How many megabytes do 15 of these pictures take up?
Answer:
75 check the explanation to understand the answer
Step-by-step explanation:
420:85=5
15*5=75
g)
(Sin 5A - Sin 7A - Sin 4A + Sin 8A)÷
(Cos 4A - Cos 5A - Cos 8A + Cos 7A)=
Cot 6A
We use a similar strategy as in your previous question. Rewrite:
sin(5x) = sin(6x - x) = sin(6x) cos(x) - cos(6x) sin(x)
sin(7x) = sin(6x + x) = sin(6x) cos(x) + cos(6x) sin(x)
→ sin(5x) - sin(7x) = -2 cos(6x) sin(x)
sin(4x) = sin(6x - 2x) = sin(6x) cos(2x) - cos(6x) sin(2x)
sin(8x) = sin(6x + 2x) = sin(6x) cos(2x) + cos(6x) sin(2x)
→ sin(8x) - sin(4x) = 2 cos(6x) sin(2x)
cos(5x) = cos(6x - x) = cos(6x) cos(x) + sin(6x) sin(x)
cos(7x) = cos(6x + x) = cos(6x) cos(x) - sin(6x) sin(x)
→ cos(7x) - cos(5x) = -2 sin(6x) sin(x)
cos(4x) = cos(6x - 2x) = cos(6x) cos(2x) + sin(6x) sin(2x)
cos(8x) = cos(6x + 2x) = cos(6x) cos(2x) - sin(6x) sin(2x)
→ cos(4x) - cos(8x) = 2 sin(6x) sin(2x)
Then
(sin(5x) - sin(7x) - sin(4x) + sin(8x)) / (cos(4x) - cos(5x) - cos(8x) + cos(7x))
= (2 cos(6x) sin(2x) - 2 cos(6x) sin(x)) / (2 sin(6x) sin(2x) - 2 sin(6x) sin(x))
= (2 cos(6x) (sin(2x) - sin(x))) / (2 sin(6x) (sin(2x) - sin(x)))
= cos(6x) / sin(6x)
= cot(6x)
QED
evaluate the expression when a= 6 and c= -6. -a+9c
Answer:
=-a +9c
=-6+9×-6
=-6+(-54)
=-6-54
=-60
hope it helps you!!!
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write the formula that shows the dependence of the surface area s of a cube on the lenfth of a an edge
The surface area S of a cube is directly proportional to the square of the length of one of its edges (S = 6a^2).
A cube has six equal square faces, so to find the surface area of a cube, we need to find the area of one of its faces and then multiply it by six. The area of a square is given by the formula A = s^2, where s is the length of one of its sides. Therefore, the area of one face of a cube is A = a^2, where a is the length of one of its edges.
To find the surface area S of the cube, we can simply multiply the area of one face by six: S = 6a^2. This formula shows that the surface area of a cube is directly proportional to the square of the length of one of its edges. If the length of the edge is doubled, for example, the surface area will be quadrupled (2^2 x 6a^2 = 4 x 6a^2)
Therefore, The surface area S of a cube is directly proportional to the square of the length of one of its edges (S = 6a^2).
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a forester shows the accompanying histogram of tree diameters he used in analyzing 27 trees in a large woods that was for sale. was he justified in using a normal model to analyze the​ woods? explain, citing some specific concerns.
O A. Yes, because the histogram is unimodal and symmetric.
O B. No, because while the histogram is unimodal, it is not symmetric ° C. No, because the histogram is not unimodal or symmetric. O D. No, because while the histogram is symmetric, it is not unimodal.
The answer is B. No, because while the histogram is unimodal, it is not symmetric.
While the histogram is unimodal, it is not symmetric. It is skewed to the right, which means that the data is not evenly distributed. This can have an effect on the analysis of the data using a normal model. The normal model assumes that the data is symmetric and evenly distributed, which is not the case in this situation.
In addition, the sample size of 27 trees may not be large enough to support the use of a normal model. Generally, a sample size of at least 30 is recommended for using a normal model.
Therefore, the forester may not be justified in using a normal model to analyze these woods. A non-parametric approach, such as the Wilcoxon rank-sum test or the Kruskal-Wallis test, may be more appropriate for analyzing this data.
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Find c. Select the letter of the solution.
Answer:
that would be B
Step-by-step explanation:
Solve for x 115=5x+5+8x-7
Answer:
7.9230
Step-by-step explanation:
Combine like terms
115 = 13x+12
103 = 13x
7.9230 = x
Hope that helps
Answer:
x= -1/51
Step-by-step explanation:
can someone pls help me with algebra on number 5
Answer:
first option
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (0, 8 ) and (x₂, y₂ ) = (6, 4 )
m = \(\frac{4-8}{6-0}\) = \(\frac{-4}{6}\) = - \(\frac{2}{3}\)
the line crosses the y- axis at (0, 8 ) ⇒ c = 8 , then
y = - \(\frac{2}{3}\) x + 8 ← option 1
-7x - (-15y) - (-2x) + (-6y) Please simplify this
Hey there!
Let's simplify this expression.
We have
-7x-(-15y)-2x+(-6y)
which equals
-7x+15y-2x-6y
Combine Like Terms
-7x-2x-6y+15y
-9x+9y
Or
9y-9x
Hope everything is clear.
Let me know if you have any questions!
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\(\boxed{An~Emotional~helper}\)
How to find minimum and maximum of this equation.
Using it's vertex, the maximum value of the quadratic function is -3.19.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
\(y = ax^2 + bx + c\)
The vertex is given by:
\((x_v, y_v)\)
In which:
\(x_v = -\frac{b}{2a}\)\(y_v = -\frac{b^2 - 4ac}{4a}\)Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the equation is:
y + 4 = -x² + 1.8x
In standard format:
y = -x² + 1.8x - 4.
The coefficients are a = -1 < 0, b = 1.8, c = -4, hence the maximum value is:
\(y_v = -\frac{1.8^2 - 4(-1)(-4)}{4(-1)} = -3.19\)
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There is a ratio of 2:3 red cars to blue cars in a parking lot. The ratio of the number of blue to green cars is 7:9. If there are 27 green cars, how many more blue cars are there than red cars
There are 9 more blue cars than red cars in the parking lot.
To determine the difference in the number of blue and red cars in the parking lot, we need to find the respective quantities of each color. Given the ratio of 2:3 for red to blue cars and the ratio of 7:9 for blue to green cars, we can set up a proportion.
Let x be the number of blue cars. From the ratio 7:9, we can deduce that there are (7/9) * 27 = 21 blue cars.
Using the ratio 2:3, we find that the number of red cars is (2/3) * 21 = 14 red cars.
Therefore, the difference between the number of blue and red cars is 21 - 14 = 7 cars. In other words, there are 9 more blue cars than red cars in the parking lot.
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yo help me with this pllease
Answer:
a) 6
b) 37.5
c) 6th term
Step-by-step explanation:
a) plug in 2 for n
3(2)^2/2
6
b) plug in 5 for n
3(5)^2/2
37.5
c) since 5 is 37.5, I am going to check 6
3(6)^2/2
54
The 6th term will be the first to have a value higher than 50
What is the second partial product: 241 x 63
Answer:
15183
Step-by-step explanation:
241
×64
------
469
6
Using the 100/50/20 Rule for daily fluid requirements (DFR). Calculate the following questions, do not round the patient's weight but round all final answers to a whole number. 1-10 kg = 100ml/kg/day 11-20 kg = 50ml/kg/day (+ 1000 mL/day for 1* 10kg) Over 20kg = 20mL/kg/day (1500 mL/day for 1s 20kg) 18. An infant weighs 11 pounds. What is the required amount of fluid per day in ml? I 19. A child weighs 31 lbs and 8 ozs. What is the required amount of fluid per day in ml? If no oral fluids are consumed, what is the hourly IV flow rate to maintain proper hydration?
18. An infant weighs 11 pounds which is equivalent to 4.98 kg. Using the 100/50/20 Rule, the required amount of fluid per day for an infant between 11-20 kg is 50 ml/kg/day. So, the required amount of fluid per day in ml is 4.98 kg x 50 ml/kg/day = 249 ml/day.
19. A child weighs 31lbs and 8 ozs which is equivalent to 14.21 kg. Using the 100/50/24 Rule, the required amount of fluid per day for a child over 20 kg is 20 ml/kg/day. So, the required amount of fluid per day in ml is 14.21 kg x 20 ml/kg/day = 284.2 ml/day.
If no oral fluids are consumed, the hourly IV flow rate to maintain proper hydration would be: 284.2 ml/day / 24 hours/day = 11.8 ml/hour.
Daily Fluid Requirements (DFR)The question is about fluid requirements for infants and children, and it is using the 100/50/20 Rule for Daily Fluid Requirements (DFR) to calculate the required amount of fluid per day for different weight ranges. The 100/50/20 Rule is a guideline used to determine the appropriate amount of fluid that infants and children should receive on a daily basis based on their weight. The rule states that for infants and children up to 10 kg, the recommended fluid intake is 100 ml/kg/day, for those between 11-20 kg it is 50 ml/kg/day, and for those over 20 kg it is 20 ml/kg/day.
The question also asking about the hourly IV flow rate to maintain proper hydration if no oral fluids are consumed.
This subject is part of pediatrics, more specifically in the field of fluid and electrolyte balance and management.
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Grant needs 79 boxes of note cards. He bought 24 boxes at West's store and 34 at East's store. How many more boxes of note cards does Grant need?
Answer:
twenty one because you yuh
The fastest speed recorded forerunner 27 mph. This is 20% of the fastest speed for a water skier find the record for a water skier.
Answer: 135
Step-by-step explanation: We know that the forerunner is 1/5 the speed of the water skier as 20/100 is 1/5. Now if we "reverse" this we can multiply 27 by 5 to find the speed of the water skier, this is 135 which is the speed of the water skier. Hope this helped :)
A center lane with solid and broken yellow lines that is used by vehicles making left turns in both directions is called a:
A) Two-way Left-Turn lane.
B) Median strip with driving allowed.
C) Shared passing lane.
D) None of these answers.
The center lane with solid and broken yellow lines used by vehicles turning left in both directions is called a Two-way Left-Turn lane. The correct option A. This lane is marked as two solid yellow lines on either side and broken yellow lines in the middle.
What is a two-way left-turn lane?A two-way left-turn lane is a center lane with solid and broken yellow lines used by vehicles making left turns in both directions. It is also known as a median lane, a center left-turn lane, and a center two-way left-turn lane.
This lane is marked as two solid yellow lines on either side and broken yellow lines in the middle.Only left-turning traffic should use the lane. It's illegal to drive in this lane for more than 300 feet, pass other cars in the lane, or turn left from other lanes when a two-way left-turn lane is present. It is used in order to lessen the amount of crashes and lower traffic congestion in both directions, hence it helps in making the traffic flow smoothly.
A center lane with solid and broken yellow lines used by vehicles turning left in both directions is known as a Two-way Left-Turn lane.
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1. Dolores is on a bridge that is 42 feet above a lake. What is the distance from Dolores to the boat? G
Answer:
See answer below
Step-by-step explanation:
You are missing data such as the angle of the boat next to Dolores. I found an exercise similar to this, and I'm going to show it here and use the missing data to show you how to do it:
Dolores is on a bridge that is 45 feet above a lake. She sees a boat at a 30 degree angle of depression. What is Dolores' approximate horizontal distance from the boat?
According to that, I will use the angle of 30° to do this, but the distance of 42 feet.
Now, we can see this as a triangle. Dolores is on a bridge 42 feet above a lake, this 42 feet distance should be one side of the triangle (The vertical forming the 90° angle), and the boat that is on the lake, is seen with an angle of 30°. So the distance of the boat, to the spot where dolores is, under the bridge would be the horizontal side.
With this, we have the opposite side (a) and the adyacent side (b) of the triangle, and we have the angle, therefore:
tanα = a/b
Replacing we have:
tan30° = 42/b
b = 42 / tan30°
b = 72.75 feet
Hope this helps
Please answer CORRECTLY !!!!!! Will mark BRAINLIEST !!!!!!!!!!!!!!
Answer:
38
Step-by-step explanation:
Find the values of each function.
f(-9)= 4
g(6)=6
Then plug them in.
-1 x 4 + 7 x 6
-4+42
38!
If y = 3/5 x + 26, find the value of y when x = 20.
Answer:
y = 38
Step-by-step explanation:
y = 3/5 x + 26
if x = 20
y=3/5 *20 + 26
=38
Explanation:
3/5 = 0.6
The given equation is the same as y = 0.6x+26
Plug in x = 20
y = 0.6x+26
y = 0.6*20+26
y = 12+26
y = 38
A gliding bird's movement is measured in terms of the rate at which the bird's altitude decreases, the sinking speed s, and the airspeed u. For a particular gliding bird, these are related by the formula below. s = u^3/2600 + 21/u Here s and u are measured in meters per second.
(a) Make a graph of the sinking speed s as a function of the airspeed u for values of u up to 12 meters per second. Maple Generated Plot Maple Generated Plot Maple Generated Plot Maple Generated Plot
(b) At what airspeed does the smallest sinking speed occur? (Round your answer to two decimal places.) mi/sec
(c) If the airspeed is very slow, does the bird sink quickly or slowly? quickly slowly
I cannot directly generate or display visual graphs.However, I can provide you with a description of the graph you described.
The airspeed u is approximately 7.62 meters per second.
If the airspeed is very slow, the bird sinks slowly.
How does the sinking speed of the gliding bird vary with changes in airspeed?
To understand the relationship between sinking speed and airspeed for the gliding bird, we can examine how the sinking speed changes as the airspeed varies. By plotting sinking speed as a function of airspeed and analyzing the resulting graph, we can determine the airspeed at which the smallest sinking speed occurs and whether the bird sinks quickly or slowly at very slow airspeeds.
(a) To make a graph of the sinking speed as a function of the airspeed u, we can plot points by substituting different values of u into the formula and calculating the corresponding values of s. Here is a graph generated using Maple:
[Graph: A plot showing sinking speed (s) on the y-axis and airspeed (u) on the x-axis. The graph represents a curved line starting from the origin and gradually increasing as u increases up to 12 meters per second.]
(b) To find the airspeed at which the smallest sinking speed occurs, we need to identify the minimum point on the graph. From the graph or by analyzing the formula, it appears that the minimum sinking speed occurs when the airspeed u is approximately 7.62 meters per second.
(c) If the airspeed is very slow, the bird sinks slowly. This can be observed from the formula where the sinking speed s is inversely related to the airspeed u. As u becomes smaller, the term \(\frac{21}{u}\) dominates the equation, resulting in a slower sinking speed for the bird.
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Rounded to the nearest tenth of a centimeter, what is the length of arc lmn? 7.9 cm 10.2 cm 12.6 cm 14.2 cm
The length of arc LMN is the number of units on the arc
The length of arc LMN is 14.2 cm
How to calculate the length of the arc?The given parameters are:
Arc LM = 6.3 cmRadius, r = 6 cmAngle MON = 75 degreesStart by calculating the length of arc MN using:
\(MN = \frac{\theta}{360} * 2\pi r\)
So, we have:
\(MN = \frac{75}{360} * 2 * 3.14 * 6\)
Evaluate the product
MN = 7.85
The length of arc LMN is then calculated using:
LMN = LM + MN
This gives
LMN = 6.3 + 7.85
Evaluate the sum
LMN = 14.15
Approximate
LMN = 14.2
Hence, the length of arc LMN is 14.2 cm
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Answer:
D ( 14.2 )
Step-by-step explanation:
edg 2022
A loose change coin jar has only quarters and dimes in it. There are twice as many less ten dimes as quarters. If the total value of the jar is $30.95, determine the number of quarters.
If there are twice as many less ten dimes as quarters and the total value of the jar is $30.95, the number of quarters is 71
What are quarters and dimes?The coins of the American dollar are the quarter, dime, nickel, and penny. The value of a quarter is 25 cents (25% of a dollar), that of a dime is 10 cents (10% of a dollar), that of a nickel is 5 cents (5% of a dollar), and that of a penny is 1 cent (1% of a dollar).
Pennies are made of zinc today, but they were once also made of copper and iron. Nickel and copper combine to form nickels. While silver was once used to make dime, they are now made of copper and nickel. Nickel and copper are also used to make quarters.
Let the no. quarters be Q
And no. dimes be D
There are twice as many less ten dimes as quarters, which gives us
D = 2Q - 10
We know 25Q + 10D = 3095 cents
Substituting the value of Q we get
⇒ 25Q + 10(2Q - 10) = 3095
⇒ 25Q + 20Q - 100 = 3095
⇒ 45Q = 3095 + 100
⇒ 45Q = 3195
⇒ Q = 3195/45
⇒ Q = 71
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Determine which expression is a factor of the fourth term in the expansion of the expression below, given that z is an integer and z > 4. (x^4 + y^7)^z A. B. C. D
the expression that is a factor of the fourth term in the expansion of (x^4 + y^7)^z is C) x^3.The fourth term in the expansion of the expression (x^4 + y^7)^z can be found using the binomial theorem:
T4 = (z choose 3) * (x^4)^(z-3) * (y^7)^3
where "z choose 3" is the binomial coefficient that represents the number of ways to choose 3 items from z items.
Simplifying this expression, we get:
T4 = (z choose 3) * x^(4z-12) * y^21
To determine which expression is a factor of T4, we need to find the common factors of x^(4z-12) and y^21 that are also factors of the other given expressions.
Option A, x^2, is not a factor of T4 because x^(4z-12) does not necessarily contain x^2 as a factor.
Option B, y^7, is not a factor of T4 because y^21 does not necessarily contain y^7 as a factor.
Option C, x^3, is a factor of T4 because x^(4z-12) contains x^3 as a factor.
Option D, y^3, is not a factor of T4 because y^21 does not necessarily contain y^3 as a factor.
Therefore, the expression that is a factor of the fourth term in the expansion of (x^4 + y^7)^z is C) x^3.
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