Answer:
x= 9, x= 2
Step-by-step explanation:
x^2- 2x- 9x+ 18= 0
x (x-2) -9 (x-2)
(x-9) (x-2)
x-9= 0, x-2= 0
Therefore, x= 9, x= 2
If you don't mind, plz mark me brainliest
What is the square root 25
Answer:
5
Step-by-step explanation:
you could use a calculator, but it works like this too i guess. :P also you could just try and guess, "what squared (multiplied by itself) is 25" good luck
Answer:
5 should be the answer for the square root
What is the value of 6a - 5q when a = 3 and q = -4
The value of 6a - 5q when a = 3 and q = -4 is 38.
To find the value of 6a - 5q when a = 3 and q = -4, we simply substitute the values of a and q into the expression and perform the necessary calculations: 6a - 5q = 6(3) - 5(-4) = 18 + 20 = 38. It's important to note that this type of problem involves substituting values into an algebraic expression and simplifying the result. This is a common skill in algebra and is used extensively in higher-level math courses and many fields of science and engineering.
It's also important to be careful when substituting values, especially with negative numbers, to avoid mistakes in the calculations. With practice, however, this skill can be mastered and used effectively to solve a wide range of problems.
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pls i'll give brainliest answer these four for brainliest
Answer:
294 teenagers
Step-by-step explanation:
31.5$
102ml
50 hamburgers
Step 1: Our output value is 700.
Step 2: We represent the unknown value with $x$x.
Step 3: From step 1 above,$700=100\%$700=100%.
Step 4: Similarly, $x=42\%$x=42%.
Step 5: This results in a pair of simple equations:
$700=100\%(1)$700=100%(1).
$x=42\%(2)$x=42%(2).
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{700}{x}=\frac{100\%}{42\%}$
700
x=
100%
42%
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{700}=\frac{42}{100}$
x
700=
42
100
Therefore, 42% of 700 is 294.
If -2y = x and 3x + 2y = -4, then what is xy?
Answer:
1
Step-by-step explanation:
3(-2y) +2y = -4
-6y+2y=-4
-4y=-4
y=1
The dollar value of a car is a function f, . of the number of years, t, since the car was purchased. Thefunction is defined by the equations f(t) = 12000*(3/5)^ta. What does the 12,000 tell us about the situationb. What does the 3/5tell us about the situation?C.What will be the value of the car after 3 years?
Given the following question:
\(f(t)=12000\times(\frac{3}{5})^t\)Part A:
I believe that the 12,000 tells us the orginal price of the car, or the price the car was purchased for. 12000 is the orginal price of the car.
Part B:
I believe that the 3/5 tells us the decline in value each year after the car has been purchased. Which is why t is the exponet is t was 2 you would have to multiply 3/5 by itself twice and then multiply it by 12000 which further decreases it's value. 3/5 represents the decline in value after T years.
Part C:
t = number of years
t = 3
\(\begin{gathered} f(t)=12000\times\frac{3}{5^{}}^3 \\ \frac{3}{5}^3=\frac{3}{5}\times\frac{3}{5}\times\frac{3}{5} \\ \frac{3}{5}\times\frac{3}{5}=\frac{9}{25} \\ \frac{9}{25}\times\frac{3}{5}=\frac{27}{125} \\ 12000\times\frac{27}{125}=2592 \\ v=2592 \end{gathered}\)Value of the car after three years will be 2592.
Select the correct answer. if function g has the factors (x − 7) and (x 6), what are the zeros of function g? a. -7 and 6 b. -6 and 7 c. 6 and 7 d. -7 and -6
Option (b) -6 and 7 is the correct option.
The zeroes of the function f and g are x=7 and x=-6 respectively.
What are the zeroes of a polynomial?The values of x that satisfy the formula f(x) = 0 are the zeros of a polynomial. The polynomial's zeros are the x values for which the function's value, f(x), equals zero in this case. The degree of the equation f(x) = 0 determines how many zeros a polynomial has.
Put x-7=0
X=7
Now, put x+6=0
So, x=-6
The zeroes of the function f and g are 7 and -6 respectively.
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what is...
b + 14.5= 10
Answer:
-4.5
Step-by-step explanation:
do 10-14.5
= -4.5
hope this was helpful! <3
Answer:
yes...his answer is right...
What percentage is x of 4x?
Answer: 25%
Step-by-step explanation:
Since there are 4 x's one x = 25%
A faer has three sacks of peanuts weighing 24kg,36kg,30kg, and 46kg, respectively. He repacked the peanuts such that the packs have equal weights and the largest weight possible with no peanuts left unpacked. How many kilograms will each pack of peanuts contain?
The each pack of peanuts contain 125 kg.
To solve the problem, you must add the weight of the sacks together and then divide by the number of equal sacks. In this situation, there are 3 sacks of different weights. In order to achieve equal weights, the following calculations must be made:
The sum of the weights of the sacks is 24 + 36 + 30 + 46 = 136 kg
The maximum weight possible is equal to 34 kg since 136 ÷ 4 = 34
Therefore, each pack of peanuts will weigh 34 kg since they will have an equal weight.
To verify this answer, let's divide the initial sacks into packs with a maximum weight of 34 kg:
Sack 1: 24 kg is less than 34 kg
Sack 2: 36 kg is greater than 34 kg. This can be divided into two packs, each of which is 17 kg. (total 34 kg)
Sack 3: 30 kg is less than 34 kg
Sack 4: 46 kg is greater than 34 kg. This can be divided into two packs, each of which is 23 kg. (total 46 kg)
Therefore, there will be four packs of peanuts, with three weighing 34 kg and the fourth weighing 23 kg. This gives a total weight of 125 kg (3 * 34 + 23) of peanuts.
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The slope of a line is 1/2 and passes the point (2, -5)find the equation
THE GENERAL EQUATION OF A STRAIGHT LINE IS y=mx+c
TO FIND c I WILL SUBSTITUTE THE GIVEN KNOWN POINTS.
\( - 5= \frac{1}{2} (2) + c \\ - 5= 1 + c \\ c = - 5 - 1 \\ c = - 6\)
THEREFORE WE NOW HAVE
\( y= \frac{1}{2} x - 6\)
ATTACHED IS THE SOLUTION
Guy is considering an investment that will pay $2,000 at the end of year 1; $1,500 at the end of year 2; $3,000 at the end of year 3; and, $400 at the end of year 4. rate for this investment is 6%, what would Guy be willing to pay today for this investment? If the current interest A) $6,900.00 B) $6,057.48 C) $5,989.00 D) $7,567.65 E) $7,134.54
Therefore, Guy would be willing to pay approximately $5,989.00 today for this investment based on the expected cash flows and the interest rate. The correct option is C) $5,989.00.
The formula for present value of a series of cash flows is given by:
\(PV = C1/(1+r)^1 + C2/(1+r)^2 + C3/(1+r)^3 + ... + Cn/(1+r)^n\)
Where:
PV is the present value,
C1, C2, C3, ..., Cn are the cash flows at different time periods,
r is the interest rate, and
n is the number of time periods.
In this case, the cash flows are $2,000, $1,500, $3,000, and $400, occurring at the end of year 1, year 2, year 3, and year 4, respectively. The interest rate (r) is 6%.
Substituting these values into the formula, we have:
\(PV = 2,000/(1+0.06)^1 + 1,500/(1+0.06)^2 + 3,000/(1+0.06)^3 + 400/(1+0.06)^4\)
Simplifying the expression:
\(PV ≈ 2,000/1.06 + 1,500/1.06^2 + 3,000/1.06^3 + 400/1.06^4\)
Using a calculator, we find that PV ≈ $5,989.00.
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3 x (-2.5) = x pls I need help
The question is in the image. The final answer is also in the other image.
We have that because the central angle is 90°, the sector represents 1/4 of a circle with a radius of 10 yd.
So, length of the safety rail is given by:
\(l=\frac{1}{4}\cdot2\pi r\)Where:
r = 10 yd
pi = 3.14
Substitute, we have:
\(l=\frac{1}{4}\cdot2(3.14)(10)=\frac{1}{4}\cdot62.8=15.7\text{ yd}\)The Answer is 15.7 yd
Next, area of the deck is given by:
\(A=\frac{1}{4}\pi r^2\)Substitute the values:
\(A=\frac{1}{4}(3.14)(10)^2=\frac{1}{4}(3.14)(100)=\frac{314}{4}=78.5\text{ yd}^2\)The answer is 78.5 yd^2
Answer this and I will give you 20 points
its a mee again and I just wanted to ask
whats 10 divided by 9075
Answer:
0.00110192837
Step-by-step explanation:
A rancher has 400400 feet of fencing to put around a rectangular field and then subdivide the field into 33 identical smaller rectangular plots by placing two fences parallel to one of the field's shorter sides. Find the dimensions that maximize the enclosed area. Write your answers as fractions reduced to lowest terms.
To maximize the enclosed area, we need to determine the dimensions of the rectangular field that will allow for the largest possible area.
Let's denote the width of the rectangular field as x and the length as y.
The total length of fencing used will be the sum of the four sides of the field, which is equal to 2x + y.
According to the problem, we have 400 feet of fencing available, so we can write the equation:
2x + y = 400
To subdivide the field into 33 identical smaller plots, we need to place two fences parallel to one of the shorter sides. This means that the width of each smaller plot will be x/33, and the length will be y.
The area of each smaller plot is given by A = (x/33) * y.
To maximize the area, we can express the area in terms of a single variable. Let's substitute y = 400 - 2x into the area equation:
A = (x/33) * (400 - 2x)
To find the maximum area, we can take the derivative of A with respect to x and set it equal to zero:
dA/dx = (400 - 4x)/33 = 0
Simplifying the equation, we get:
400 - 4x = 0
Solving for x, we find:
x = 100
Substituting this value back into the equation 2x + y = 400, we can solve for y:
2(100) + y = 400
200 + y = 400
y = 200
Therefore, the dimensions that maximize the enclosed area are x = 100 feet and y = 200 feet.
The area of the rectangular field is A = x * y = 100 * 200 = 20,000 square feet.
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If a gallon of gas costs $1.85, how many gallons would you purchase for $15.54?
Answer:
8.4 Gallons
Step-by-step explanation:
The answer is 8.4 because 15.54 divided by 1.85 is 8.4
Answer:
About 8.4 gallons
Step-by-step explanation:
15.54/1.85=8.4
Identify this sequence: 5, 15, 45, 135, …
Geometric
Arithmetic
Neither
Answer:
geometric (each term is multiplied by 3)
Step-by-step explanation:
A car travels at a speed of s miles per hour. It covers 126 miles in 3 hours.
Answer:
s=42
Step-by-step explanation: 126 divided by 3 = 42
42mph
35. Develop a truth table for each of the standard POS expressions: a. (A + B)(A + C) (A + B + C) b. ·(4. A + B) (A + B + C) (B + C + ´ + C) (B + C + D) (A + B + C + D)
a. The truth table for the standard POS expression (A + B)(A + C)(A + B + C) is generated by considering all possible combinations of inputs A, B, and C and evaluating the expression for each combination.
b. The truth table for the standard POS expression (A + B)(A + B + C)(B + C')(B + C + D)(A + B + C + D) is also generated by considering all possible combinations of inputs A, B, C, and D and evaluating the expression for each combination.
a. To generate the truth table for the expression (A + B)(A + C)(A + B + C), we consider all possible combinations of inputs A, B, and C. We evaluate the expression for each combination by applying the OR operation to the respective variables and then applying the AND operation to the resulting terms. The resulting truth table will have eight rows, representing all possible combinations of A, B, and C.
b. To generate the truth table for the expression (A + B)(A + B + C)(B + C')(B + C + D)(A + B + C + D), we consider all possible combinations of inputs A, B, C, and D. Similar to the previous case, we evaluate the expression for each combination by applying the OR and AND operations as needed. The resulting truth table will have sixteen rows, representing all possible combinations of A, B, C, and D.
By examining the truth tables, we can determine the output values of the expressions for all possible input combinations, which helps in understanding the behavior of the expressions and can be used for further analysis or decision-making purposes.
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find the area of the triangle having the given vertices. (−1, 4), (0, 4), (−2, 8)
The area of the triangle with the given vertices is 2 square units.
How to find the area of the triangle with the given vertices (-1, 4), (0, 4), and (-2, 8)Area =
Plugging in the coordinates of the vertices:Area = (1/2) |((-1)(4 - 8) + (0)(8 - 4) + (-2)(4 - 4))|
Area = (1/2) |(-1 * (-4) + 0 * (4) + (-2) * 0)|
Area = (1/2) |(4)|
Area = (1/2) * 4
Area = 2
So, the area of the triangle with the given vertices is 2 square units.
The area of the triangle with the given vertices is 2 square units.
How to find the area of the triangle?To find the area of the triangle with the given vertices (-1, 4), (0, 4), and (-2, 8), follow these steps:
1. Label the vertices: A(-1, 4), B(0, 4), and C(-2, 8).
2. Use the Shoelace Formula to find the area:
Area = (1/2) * |[(xA * (yB - yC)) + (xB * (yC - yA)) + (xC * (yA - yB))]|
3. Plug in the coordinates of the vertices:
Area = (1/2) * |[(-1 * (4 - 8)) + (0 * (8 - 4)) + (-2 * (4 - 4))]|
4. Calculate the values inside the brackets:
Area = (1/2) * |[(-1 * (-4)) + (0 * 4) + (-2 * 0)]|
5. Continue calculating:
Area = (1/2) * |[4 + 0 + 0]|
6. Calculate the final area:
Area = (1/2) * 4 = 2
The area of the triangle with the given vertices is 2 square units.
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What is the mean and the median of 2, 4, 6, and 8?
Grandpa made 60 cookies. His grandkids ate 36 of the cookies. Grandma ate 18
cookies. How many cookies are left?
Answer:
The answer is 6
Step-by-step explanation:
60-36-18=6
Find the ordered triplet (x,y,z) for the following system of equations: x+3y + 2z = 1, 03x+y+5z=10, -2x-3y+z=7
The ordered triplet (x, y, z) or the following system of equations: x+3y + 2z = 1, 03x+y+5z=10, -2x-3y+z=7 is (-170/127, -89/127, 282/127).
Start with the first equation:
x + 3y + 2z = 1
Isolate x by subtracting 3y and 2z from both sides:
x = 1 - 3y - 2z
Substitute this expression of x into the second equation:
0.3x + y + 5z = 10
Substitute the value of x found in step 2 into this equation:
0.3(1 - 3y - 2z) + y + 5z = 10
0.3 -0.9y -0.6z + y + 5z = 10
0.1y + 4.4z = 9.7
y + 44z = 97
Solve for y by isolating it:
y = 97 - 44z
Substitute this expression of y into the first equation:
x + 3(97 - 44z) + 2z = 1
x + 291 - 132z + 2z = 1
Solve for x:
x = 130z - 290
Substitute this expression of x into the third equation:
-2(130z - 290) - 3(97 - 44z) + z = 7
-260z + 580 - 291 + 132z + z = 7
Solve for z:
127z = 282
z = 282/127
Substitute this value of z into the expression of y:
y = 97 - 44(282/127)
= -89/ 127
Substitute the values of z into the expression of x:
x = 130(282/127) - 290
= - 170/ 127
So the solution of the system of equations is: x = -170/127, y = -89/127, z = 282/127.
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The values for random variables in a Monte Carlo simulation area. selected manually.b. generated randomly from probability distributions.c. taken from forecasting analysis.d. derived secondarily using formulas.
The values for random variables in a Monte Carlo simulation area that were chosen at random from probability distributions are the right answer.
What is Monte Carlo Simulation ?
The Monte Carlo Method, also referred to as the Monte Carlo Simulation or a multiple probability simulation, is a mathematical method for predicting potential outcomes of an uncertain event. To help people make better decisions when faced with uncertainty, John von Neumann and Stanislaw Ulam developed the Monte Carlo Method during World War II.
Therefore, the values for random variables in a Monte Carlo simulation area that were generated at random from probability distributions are the right answer.
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The correct response is the set of values for random variables in a Monte Carlo simulation region that were randomly selected from probability distributions.
In order to represent uncertainty in a model that represents a real system and computes the values of model outputs, a Monte Carlo technique is used. During World War II, John von Neumann and Stanislaw Ulam created the Monte Carlo Method to aid people in making better judgments when faced with uncertainty.
As a result, the correct response is the random values for random variables that were produced using probability distributions in a Monte Carlo simulation area.
PLEASE HELP QUICK!! Will give brainliest!!
I provided what I thought the answer is, so if someone would be kind enough to help me clarify!!
Answer: \(90\leq 2x-44\leq 95\)
Step-by-step explanation:
answer the question plz and be the brainliest
Step-by-step explanation:
Maryam scores in paper 1 65% × 120
= 65/100 × 120
= 78 marks of full scores 120 marks
scores in paper 2 80% × 80
= 80/100 × 80
= 64 marks of full scores 80 marks
7a3c - 2ac + 5 is an example of what kind of polynomial?
7a³c - 2ac + 5 is an example of a trinomial polynomial
How to determine the example of the polynomialFrom the question, we have the following parameters that can be used in our computation:
7a³c - 2ac + 5
using the above as a guide, we have the following properties
The polynomial has three terms; so it is a trinomial Also, the degree of the polynomial is 3; so it is a cubic polynomialThis means that the examples of the polynomial are
trinomial and cubic polynomial
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If a letter was chosen at random from the word SPORTSMANSHIP, which of the following is closest to the probability that it would be a vowel?
solve x^2+6x+1=0 and give your answer to two decimal places