The simplified version of the polynomial 3+4p to the second power -5p - 3p to the second power + 4p - 8 is p to the second power - p - 5 which corresponds to answer choice C.
Explanation:The problem you're asking about is a simplification of a polynomial. We can combine like terms in the polynomial which is a basic skill in algebra. The polynomial you provided is 3+4p to the second power -5p - 3p to the second power + 4p - 8
To solve this, we combine similar variables and constant separately. So, we add 4p to the second power and - 3p to the second power which will give us p to the second power. Next, we add -5p to +4p which results in -p. Finally, adding the constants 3 and -8 gives us -5. Therefore, the simplified polynomial becomes p to the second power - p - 5. Thus, the correct answer is option C.
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I need help big time. Will reward BRAINLIEST to BEST answer!!!
A line contains the points (34, 12) and (32, 48) .
What is the slope of the line in simplified form?
Enter your answer in the box.
________
[_______]
If two opposite sides of a square are increased by 15 meters and the other sides are decreased by 5 meters, the area of the rectangle that is formed is 69 square meters. find the area of the original square.
solving for a variable in terms of other variables using addition or subtraction with division calculator
One leg of a right triangle is 6 in. longer than the other leg. the hypotenuse of the triangle is 25 in. what is the length of each leg to the nearest inch?
The problem can be solved using the Pythagorean theorem. The lengths of the legs of the triangle are calculated as 15 inches for the shorter leg and 21 inches for the longer leg.
Explanation:In solving this mathematical problem, we can employ the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides- This theorem is normally written as a² + b² = c². We can let one leg of the right triangle be 'a', the other leg be 'a+6' (since one leg is 6 inches longer than the other), and the hypotenuse is 25 inches. From the equation, we substitute a and b with the values and get:
a² + (a + 6)² = 25²
This equation is solved to get the lengths of the legs. Solving results in 'a' being 15 inches (the shorter leg) and 'a+6' equals to 21 inches (the longer leg).
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Jan can type 61.3 words per minute. How many words can she type during a 15-minute test
Answer:
919.5
Step-by-step explanation:
what are the solutions to the system 10 + y = 5x + x2 5x + y = 1
Answer:
(1, -4) and (-11, 56)
Under GAAP-based costing, what assumption justifies allocating organization-level manufacturing overhead among products?
what is the recursive formula for this geometric sequence? -3,-21
what is 4kx+10kx=7 solve for x
Final answer:
To solve the equation 4kx+10kx=7 for x, combine like terms to get 14kx = 7, then isolate x by dividing both sides by 14k, resulting in x = 1 / (2k).
Explanation:
The question asks: what is 4kx+10kx=7 solve for x. To solve this equation for x, we first need to combine like terms. We combine 4kx and 10kx to get 14kx. The equation then becomes 14kx = 7. To isolate x, we divide both sides of the equation by 14k. This gives us x = 7 / (14k). It simplifies further to x = 1 / (2k). Therefore, the solution to the equation is x = 1 / (2k).
Please help me on this question and explain your answer thanks
If the boolean expression a is true and b is false, the value of the logical expression a and b is ________.
License plates in a particular state display 22 letters followed by 33 numbers. how many different license plates can be manufactured for this state?
The total number of different license plates that can be manufactured in this state is 676,000. This is calculated by multiplying the 676 combinations of letters by the 1,000 combinations of numbers.
To find out how many different license plates can be manufactured in this state,
2 letters followed by 3 numbers. Each letter can be any of the 26 letters in the alphabet, and each number can be any digit from 0 to 9.Therefore, the total number of combinations for the letters is:
26 (choices for the first letter) * 26 (choices for the second letter) = 676The total number of combinations for the numbers is:
10 (choices for the first number) * 10 (choices for the second number) * 10 (choices for the third number) = 1000By multiplying these together, we get the total number of license plates:
676 * 1000 = 676,000Therefore, there can be 676,000 different license plates manufactured in this state.
Martin drew a pair of perpendicular lines and a pair of a parallel lines. Which of these statements best compares the pairs of perpendicular parallel lines?
Answer:
Two lines are perpendicular then they cut at right angles to each other.
But, when two lines are parallel then they can never meet to each other.
Step-by-step explanation:
We are given that Martin drew a pair of perpendicular lines and a pair of a parallel lines.
We have to find which statement best describe these statements best compares the pairs of perpendicular and parallel lines.
We know that
Perpendicular lines: That lines which intersect at right angles to each other.
Parallel lines: That lines which can never meet when the lines produced infinitely.
Hence, a pair of perpendicular lines intersect at right angles and a pair of parallel lines never meet to each other.
How to find a number to add to both the numerator and denominator?
What is a cubic polynomial function in standard form with zeroes 1, –2, and 2?
Solve quadratic equations using completing the square then write in vertex form
If TOWN A has a yearly population of 3,225 and is growing by 100 people each year and TOWN B has a yearly population of 3,300 and is growing by 75 people per year, after how many years will the two populations be equal?
Simplify 8 - (-5) - 4(-7).
-63
-15
41
68
Jessie's bus ride to school is 5 minutes more then 2/3 the time roberts bus ride. if jessie's time riding the bus is y and robert's time riding the bus is x write an equation to represent the situation
Jessie's total bus ride time, represented by y, is 5 minutes longer than [tex]\frac{2}{3}[/tex] of Robert's bus ride time, which is represented by x, leading to the equation y = ([tex]\frac{2}{3}[/tex])x + 5.
Jessie's bus ride to school is 5 minutes longer than [tex]\frac{2}{3}[/tex] the time of Robert's bus ride. Given that Jessie's time riding the bus is represented by y, and Robert's time riding the bus is represented by x, the equation to represent this situation is:
y = ([tex]\frac{2}{3}[/tex])x + 5.
This equation indicates that if you take [tex]\frac{2}{3}[/tex] of Robert's ride time (x) and then add 5 minutes, you'll get Jessie's bus ride time (y).
How many ways can 8 students be assigned a seat in a classroom if there are 10 seats in a row?
1814400 ways can 8 students be assigned a seat in a classroom if there are 10 seats in a row.
What is Permutation?A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangement.
[tex]nP_{r} =\frac{n!}{(n-r)!}[/tex]
n=Total number of objects
r=Selected number of objects
Given,
There are ten number of seats
n=10
We have to arrange 8 students so r=8.
We need to arrange eight students in ten seats in a row.
So n=10, r=8
[tex]10P_{8} =\frac{10!}{(10-8)!}[/tex]
10P₈=10!/2!
=10×9×8×7×6×5×4×3×2/2
=10×9×8×7×6×5×4×3
=1814400
Hence in 1814400 ways can 8 students be assigned a seat in a classroom if there are 10 seats in a row.
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Heather works as a waitress at her family`s restaurant. she works 2 hours every morning during the breakfast shift and returns to work work each evening for the dinner shift. In the last 4 days ,she worked 28 hours. If Heather works the same number of hours every evening, how many hours did she work during each dinner shift?
What is the LCD of 1/3 and 3/7
Simplifying expressions with negative exponents calculator
To simplify expressions with negative exponents, rewrite the negative exponent as the reciprocal of the base raised to the positive exponent.
Explanation:When simplifying expressions with negative exponents, you can use the rule that states a negative exponent can be rewritten as the reciprocal of the base raised to the positive exponent. For example, x^-3 can be rewritten as 1/x^3. You can use this rule with negative exponents in the numerator or denominator, as well as with negative exponents inside parentheses. Here’s an example:
8x^-2 / (2y^-3) = 8 / (2y^3x^2)
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geometry proof
help please
I will give you 25 points for my other qusetion
Need help doing this problem!!
If 75 cans cost 56.25 dollars how much would it be for 3 cans
56.25 / 75 = 0.75 for each can
0.75 *3 = $2.25 for 3 cans
PLEASE HELP ASAP!!! Explain how you found the answer!!
kims sisters age = x
kim = 2x
A) 2x +x = 36
B) 2x+ x = 36
3x =36
x = 36/3
x = 12
kim's sister is 12
kim is 24
A conical water tank with vertex down has a radius of 10 feet at the top and is 27 feet high. If water flows into the tank at a rate of 10 ft3/min f t 3 / m i n , how fast is the depth of the water increasing when the water is 13 feet deep?
The depth of the water is increasing at a rate of approximately is 0.14 ft/min
To determine how fast the depth of the water is increasing when the water is 13 feet deep, we need to relate the volume of the water in the conical tank to its depth. We can use related rates and the geometry of the cone.
Given:
- The radius of the tank at the top R = 10 feet
- The height of the tank H = 27 feet
- The rate of water flow into the tank [tex](\(\frac{dV}{dt}\))[/tex] = 10 ft[tex]\(^3\)/min[/tex]
- The depth of the water h = 13 feet
First, let's find the relationship between the radius r of the water's surface at depth h.
Since the water forms a smaller cone similar to the tank, we can use the concept of similar triangles:
[tex]\[\frac{r}{h} = \frac{R}{H} \implies \frac{r}{h} = \frac{10}{27} \implies r = \frac{10}{27}h\][/tex]
Next, we use the volume formula for a cone:
[tex]\[V = \frac{1}{3} \pi r^2 h\][/tex]
Substitute [tex]\(r = \frac{10}{27}h\):[/tex]
[tex]\[V = \frac{1}{3} \pi \left( \frac{10}{27}h \right)^2 h = \frac{1}{3} \pi \frac{100}{729} h^3 = \frac{100\pi}{2187} h^3\][/tex]
Differentiate both sides with respect to t:
[tex]\[\frac{dV}{dt} = \frac{100\pi}{2187} \cdot 3h^2 \frac{dh}{dt}\][/tex]
Simplify:
[tex]\[\frac{dV}{dt} = \frac{300\pi}{2187} h^2 \frac{dh}{dt}\][/tex]
Given [tex]\(\frac{dV}{dt} = 10 \) ft\(^3\)/min[/tex], and [tex]\(h = 13\) ft:[/tex]
[tex]\[10 = \frac{300\pi}{2187} \cdot (13)^2 \cdot \frac{dh}{dt}\][/tex]
Solve for [tex]\(\frac{dh}{dt}\):[/tex]
[tex]\[10 = \frac{300\pi}{2187} \cdot 169 \cdot \frac{dh}{dt}\][/tex]
[tex]\[10 = \frac{50700\pi}{2187} \cdot \frac{dh}{dt}\][/tex]
[tex]\[\frac{dh}{dt} = \frac{10 \cdot 2187}{50700\pi}\][/tex]
[tex]\[\frac{dh}{dt} = \frac{21870}{50700\pi}\][/tex]
[tex]\[\frac{dh}{dt} \approx \frac{21870}{159252} \approx \frac{1}{7.29} \approx 0.137 \text{ ft/min}\][/tex]
Therefore, the depth of the water is increasing at a rate of approximately: [tex]\[\boxed{0.14 \text{ ft/min}}\][/tex]
A personal trainer buys a weight bench for $500 and some weights (w) for $24 each. the trainer has a budget of $860.00. how many weights can the personal trainer purchase
Final answer:
To find out how many weights the personal trainer can purchase, subtract the cost of the weight bench from the budget and divide the remaining amount by the cost of each weight. The personal trainer can purchase 15 weights within the given budget.
Explanation:
To find out how many weights the personal trainer can purchase, we need to subtract the cost of the weight bench from the budget and divide the remaining amount by the cost of each weight.
Step 1: Subtract the cost of the weight bench ($500) from the budget ($860): $860 - $500 = $360.
Step 2: Divide the remaining amount ($360) by the cost of each weight ($24): $360 ÷ $24 = 15.
The personal trainer can purchase 15 weights within the given budget.
This budgeting approach demonstrates a systematic way for the personal trainer to allocate funds effectively, ensuring that both essential equipment and a sufficient quantity of weights can be acquired. By following these steps, the trainer maximizes the utility of the available budget, making informed decisions to support an efficient and well-equipped training environment.