A. Let x be a real number,B. Add x to both sides of the equation, then C. x - x = 0,D. Therefore, x = 0
A. Let x be a real number - This step states that we are selecting a real number for which we will prove that it is equal to 0. This step does not contain an error.
B. Subtract x from both sides of the equation - This step does not contain an error as it is the first step in the process of proving that the real number is equal to 0.
C. x - x = 0 - This step contains an error, as it doesn't provide enough information to prove that the real number is equal to 0.
D. Therefore, x = 0 - This step also contains an error, as it assumes that the proof is correct without providing any evidence.
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Which ordered pair is a solution of the equation y=x-3?
A:(-2,5)
B:(-5,3)
C:(2,5)
D:(5,2)
Answer:
D is your answer
Step-by-step explanation:
y = x - 3
y = 2
x = 5
now insert the x and y into the equation
2 = 5 - 3
then subtract
2 = 2
last to find out if your right when both numbers equal each other like 2 = 2 then that will be you answer to your problem
The area of the right triangle shown is 24 square feet. Which equations can be used to find the lengths of the legs of the triangle? Select three options. 0.5(x)(x + 2) = 24 x(x + 2) = 24 x2 + 2x – 24 = 0 x2 + 2x – 48 = 0 x2 + (x + 2)2 = 100
Answer:
0.5x(x + 2) = 24
x² + 2x - 48 = 0
x² + (x + 2)² = 100
Step-by-step explanation:
A = bh/2
A = x(x + 2)/2 = 24
0.5x(x + 2) = 24
0.5x² + x = 24
x² + 2x = 48
x² + 2x - 48 = 0
x² + (x + 2)² = 10²
x² + (x + 2)² = 100
The original version of a song is 3 minutes long. The remix is 25% shorter. How long is the remix?
Answer = 2 minutes and 15 seconds
1 minute = 60 seconds
60 seconds times 3= 180 seconds
25% of 180 seconds = 45 seconds
180-45=135 seconds
convert into minutes
1 minute = 60 seconds
2 minutes = 120 seconds
135-120=15 seconds
2 minutes and 15 seconds
Answer:
2 mins 15 secs
Step-by-step explanation:
If the original version of the song is 100% in length, then the remix will be 75% of the length of the original, as:
100% - 25% = 75%
Convert 75% into a decimal:
⇒ 75% = 75/100 = 0.75
75% of 3 minutes
= 0.75 × 3
= 2.25 minutes
As there are 60 seconds in a minute,
= 0.25 of a minute = 0.25 × 60 = 15 seconds
Therefore, the length of the remix is 2 mins 15 secs
use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables.
The coefficient of determination is 0.588 and the percentage of the total variation is 58.8%.
The coefficient of determination (r^2) refers to a measurement used to explain how much variability of one variable can be caused by its relationship to another related variable. It is the fit of goodness and measures how well a statistical model fits the observed data and is a number between 0 and 1. When the value of linear correlation coefficient r is known, the coefficient of determination can be computed simply by squaring r.
Hence if r = 0.767, then the coefficient of determination = r^2 = 0.588
As percentage of the total variation is same as the coefficient of determination (given in percentage) and is given by the R² value = 58.8%. Hence, about 58.8% of variation is explained by the linear relationship between the two variables.
Note: The question is incomplete. The complete question probably is: Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables. r = 0.767.
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Kittens weigh about 100 grams when born, if a kitten gained 8 grams per day, how many days will it take the kitten to triple its weight?
100 * 3 = 300
300 - 100 = 200
200/8 = 25
25 days
Solve the system of equations! I will mark branliest!
Answer:
x = 16/3, y = -1/9
Step-by-step explanation:
4x + 1 = 5(x-3y) - 6
3(x+6y) + 4 = 9y + 19
Simplify both equations
4x + 1 = 5x-15y - 6
-x + 15y = -7
3x + 18y + 4 = 9y + 19
3x + 9y = 15
Now multiply 3 on both sides for the first equation.
(easier for adding both equations)
-3x + 45y = -21
3x + 9y = 15
Add both equations
x cancels out
54 y = -6
y = -1/9
plug in to other equation
3x + 9y = 15
3x - 1 = 15
3x = 16
x = 16/3
A bakery offers a sale price of 2.55 for 4 muffins.what is the price per dozen?
I hope someone answers fast
And explain what you did
Answer: $7.65 for a dozen/12
Step-by-step explanation: 2.55 x 3
I need help on question 4 which is the first one
Given: The dimension as shown in the image
\(\begin{gathered} base(a)=20in \\ height(h)=10.5in \end{gathered}\)To determine: The name of the shape and the surface area
Solution
The name of the shape is a square-based pyramid
The area of a square-based pyramid can be calculated using the formula below
\(\begin{gathered} A=a^2+2a\sqrt{\frac{a^2}{4}+h^2} \\ A=Area \\ a=base-edge \\ h=height \end{gathered}\)Substitute the given dimension into the formula
\(\begin{gathered} A=20^2+2\times20\sqrt{\frac{20^2}{4}+10.5^2} \\ A=400+40\sqrt{\frac{400}{4}+110.25} \\ A=400+40\sqrt{210.25} \\ A=400+40(14.5) \\ A=400+580 \\ A=980in^2 \end{gathered}\)Hence, the name of the shape is a square-based pyramid and the surface area is 980in²
What is the standard position angle
Answer:
A would be 35
Step-by-step explanation:
if that area is at a 90 digre angle then do 90- 55 then you get your anwser.
Which of the following statements is true? (8.2D)
Answer:
Where is the statement
Jamal and Samuel are saving for a camping trip. Jamal starts with $18 and saves $5 each week.
Samuel starts with $10 and saves $7 each week.
Use the drop-down menus to complete the rule for the amount of savings for each boy.
Please no link
Answer:
Step-by-step explanation:
how many weeks are they doing this for?
Question 9 of 10
Solve -4x+ 2 26.
0 A. x-6
0 B. )( 6 0 C. -6 0 D. )( 6
Answer:
The answer is (C.
Step-by-step explanation:
Answer:
C. x≤−6
Step-by-step explanation:
Dan is buying turkey cutlets for $2.69 per pound. The package weighs 4 pounds, 8 ounces.
How much will the cutlets cost?
if I did it right then it's $32.38.
6. Find the perimeter (distance around) each of the foundations in Figure1 and 2.
a. Foundation A perimeter=_________feet
b. Foundation B perimeter=_________feet
Answer:
(a) P = 32.5 feet
(b) P = 108-2x feet
Step-by-step explanation:
Note: Perimeter is the total distance around the border of a shape.
(a)
P = 14' + 27'' + 14' +27'' ; First we have to covert the 27'' (27 inches to feet)
\(27*\frac{1}{12} = \frac{27}{12} =\frac{9}{4}\) = 2.25feet
P = 14'+2.25'+14'+2.25'
P = 32.5' = 32.5 feet
(b)
P = 15'+29'+(15'-x')+3'+7'+3'+(7'-x')+29' ; where x is the overlapping distance of the 2 rectangles of Foundation B.
P = 108' -2x'
P = 108-2x feet
Note: there is not enough information to determine the vaule of x from the problem.
Which expression has the greatest value?
A. (15 - 10) x (4 + 3)
B. (15 - 10) x (4 - 3)
C. (15 + 10) x (4 + 3)
D. (15 + 10) x (4 - 3)
HELP ME I BEG YOU I DONT KNOW!!!
Answer:
C
Step-by-step explanation:
A (15-10)×(4+3)=-35
B (15-5)×(4-3)=-5
C (15+10)×(4+3)=135
D (15+10)×(4-3)=25
Help plssssss! Thnx!
Answer:
$55.48
Step-by-step explanation:
nice to help you.hope it helps
Devon's father is installing new wood flooring. He bought boards that are 10 ft long, 3/4 in. thick, and 11/24 in. wide. Determine the number of boards Devon's father will need for a 10 ft by 16 1/2 ft room. Plz plz help and the way to solve it plz!!!
Answer:
36 boards
Step-by-step explanation:
The boards are as long as the room, so I only had to worry about the width. If the boards were 1/2 ft wide, I would need 2 boards for every foot of width. For 16 ft, I would need 32 boards.
Instead of dividing, I wrote the equivalent multiplication by multiplying by the reciprocal of 11/24 (the reciprocal of 11/24 is 24/11)
I simplified by dividing both 2 and 24 by 2, and both 11 and 33 by 11.
Therefore he needs 36 boards
What are the numbers less than -7 and greater than -15?
Answer:
-8,-9,-10,-11,-12,-13
Step-by-step explanation:
A person from the town is randomly selected; what is the probability that the individual is employed full-time, given that he or she is between 18 and 49 years of age
Without knowing the specific data of the town, it is impossible to provide an exact probability but we can use the following formula to calculate the probability of an individual being employed full-time, given that they are between 18 and 49 years old:
P(full-time employment | age between 18 and 49) = P(full-time employment and age between 18 and 49) / P(age between 18 and 49)
What is the probability that the individual is employed full-time, if age is between 18 and 49 years? Calculate the probability of an individual being both employed full-time and between the ages of 18 and 49.To calculate this probability, we need to know the number of individuals in the town who are both employed full-time and between the ages of 18 and 49, and divide it by the total population of the town.
P(full-time employment and age between 18 and 49) = Number of individuals employed full-time and between the ages of 18 and 49 / Total population of the town
Calculate the probability of an individual being between the ages of 18 and 49.To calculate this probability, we need to know the number of individuals in the town who are between the ages of 18 and 49, and divide it by the total population of the town.
P(age between 18 and 49) = Number of individuals between the ages of 18 and 49 / Total population of the town
Use the formula to calculate the probability of an individual being employed full-time, given that they are between the ages of 18 and 49.We can use the probabilities calculated in steps 1 and 2 to calculate the probability of an individual being employed full-time, given that they are between the ages of 18 and 49, using the formula:
P(full-time employment | age between 18 and 49) = P(full-time employment and age between 18 and 49) / P(age between 18 and 49)
For example, if there are 10,000 people in the town, and 6,000 of them are between the ages of 18 and 49, and out of those 6,000, 4,000 are employed full-time, then:
P(full-time employment and age between 18 and 49) = 4,000 / 10,000 = 0.4
P(age between 18 and 49) = 6,000 / 10,000 = 0.6
P(full-time employment | age between 18 and 49) = 0.4 / 0.6 = 0.67
Therefore, the probability that an individual is employed full-time, given that they are between the ages of 18 and 49, is 0.67 or 67%.
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After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the test are as follows. P(soil | high-quality oil) = 0.20 P(soil | medium-quality oil) = 0.80 P(soil | no oil) = 0.20 How should the firm interpret the soil test? The probability of finding oil is good. Given the probability of finding good soil, the oil company is more likely to find oil. What are the revised probabilities?
Answer:
The revised probabilities are;
The probability of finding soil with oil = 0.8
The probability of finding soil with good oil = 0.16
The probability of finding medium quality oil = 0.64
Step-by-step explanation:
The given probability of finding soil with high quality oil, P(QO) = 0.20
The probability of finding soil with medium-quality oil, P(OM) = 0.80
The probability of finding soil with no oil, P(ON) = 0.2
Therefore, given that the probability of finding soil with no oil = 0.2, we have;
The probability of finding soil with oil, P(OP) = 1 - the probability of finding soil with no oil
P(OP) = 1 - 0.2 = 0.8
Which gives;
The probability, P(FG) of finding soil with oil and that the oil is good is given as follows;
P(FG) = P(QO) × P(OP) = 0.2 × 0.8 = 0.16
The probability of finding good oil = 0.16
Similarly;
The probability of finding medium quality oil P(FM) = P(OM) × P(OP) = 0.8 × 0.8 = 0.64
Which gives the revised probability as follows;
The probability of finding soil with oil, P(OP) = 0.8
The probability of finding soil with good oil, P(FG) = 0.16
The probability of finding medium quality oil, P(FM) = 0.64.
A line in the coordinate plane has a slope of $4,$ and a distance of $1$ unit from the origin. find the area of the triangle determined by the line and the coordinate axes.
The area of the triangle is 17/8
What is area of triangle?In a two-dimensional plane, a triangle's area is the area that it completely encloses. A triangle is a closed shape with three sides and three vertices, as is common knowledge. The entire area occupied by a triangle's three sides is referred to as its area. Half of the product of the triangle's base and height provides the general formula for calculating the area of the triangle.
Let consider this right angled triangle with vertices (0,-4), (0.0), and (1,0).
Its legs have the length 4 and 1; its hypotenuse is long.
We can easy find the height "h" (the altitude) of this triangle, drawn to hypotenuse.
From the area consideration, we have this equation
(4*1)/2=(1/2)*√17*h
h = 4/√17 = 0.970143.
So, it is not 1 unit, as we see.
It means that the legs of the triangle should be√17/4 as long, as 1 unit and 4 units of the original triangle.
So, the area of the seeking triangle is
(1/2)(√17/4)(√17/4) = (1/2)*(17/4) = 17/8
The area of the triangle under the question is 17/8
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The hypotenuse of a right triangle is 6 feet long. One leg is 2 feet longer than the other. Find the length of each leg to the nearest hundredth of a foot.
What are the limits to infinity degree rules?
In calculus, the limits to infinity degree rules are a set of guidelines used to evaluate limits of functions that approach infinity or negative infinity as the input variable approaches a particular value.
The limits to infinity degree rules can be summarized as follows:
If a polynomial function has the same degree in both the numerator and denominator, then the limit as x approaches infinity (or negative infinity) is equal to the ratio of the leading coefficients.
If the degree of the numerator is less than the degree of the denominator, then the limit as x approaches infinity (or negative infinity) is equal to zero.
If the degree of the numerator is greater than the degree of the denominator, then the limit as x approaches infinity (or negative infinity) is equal to either positive infinity or negative infinity, depending on the signs of the leading coefficients.
However, it is important to note that these rules have limitations and may not always be applicable. For example, they may not apply to functions that involve trigonometric functions or logarithmic functions. In these cases, other techniques such as L'Hopital's rule or algebraic manipulation may be needed to evaluate the limit.
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Help please I need help
Answer:
q(m+n-p)
Step-by-step explanation:
qm+qn-qp
Since, q is the highest common factor, so we'll take q as common
=> q(m+n-p)
This is the required factorized form.
Answer:
q(m+n-p)
Step-by-step explanation:
q is the common factor in all three terms, so take that to go outside the brackets.
What goes inside the brackets depends on the quotient you get upon dividing each term by q.
Here,
qm becomes m
qn becomes n
-qp becomes -p.
Arrange the. Back in the way mentioned.
Hope this helps
4. Given the following equation, find the following: 3x – 2y = 12
A. x-intercept
B. y-intercept
C. Slope
Answer:
\( \sqrt[6]{729} \)
Find the area of the triangle.
Answer:
it would be 110
Step-by-step explanation:
when finding out an area of a triangle you take the base times the height and then divide it by two
At an amusement park 40%of the tickets were sold in the 1st hour if 800 tickets were sold in an hour how many tickets were sold in a day
Answer:
40% = 0.40
800 / 0.40 = 2000 total tickets were sold
Step-by-step explanation:
What is the value of 1/2 divided by 1/3
A. 1 and 1/3
B. 1 and 1/6
C. 1 and 1/2
Answer:
C
Step-by-step explanation:
1/2 divided by 1/3 equals 1.5 and 1.5 as a fraction is 3/2 which as a mixed number is 1 and 1/2
Answer:I agree with C
Step-by-step explanation:
Keep, Change, and the Flip method can also help you solve it!!!......
On the same coordinate plane mark all points (x,y) such that
(A) y=x+3
(B) y=-x+3
(C) y=|x|+3
The graphs of the 3 given functions can be seen in the image attached at the end.
How to mark all the wanted points?
Here we basically want to graph the next 3 functions:
y = x + 3
y = -x + 3
y = |x| + 3
So, the first two are linear equations. To graph these we just need to find two points on the line and connect them with a line.
The last one is the absolute value function translated up by 3 units.
So, to give an example of how to graph the first equation, first we evalaute in x = 0, then we get:
y = 0 + 3 = 3
So we have the point (0, 3)
For that same line we can evaluate in x = 1
y = 1 + 3 = 4
Then we also have the point (1, 4).
Now we have 2 points, we can just connect them with a line.
The graph of the 3 equations can be seen below.
A is the blue line, B is the red line, C is the orange graph.
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What happened to the owl who swallowed a watch
Answer:WAIT HE IS TELLING THE TIME
Step-by-step explanation: