Answer:
-x
Step-by-step explanation:
Simplifying
5x + 2 = 3x
Reorder the terms:
2 + 5x = 3x
Solving
2 + 5x = 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
2 + 5x + -3x = 3x + -3x
Combine like terms: 5x + -3x = 2x
2 + 2x = 3x + -3x
Combine like terms: 3x + -3x = 0
2 + 2x = 0
Add '-2' to each side of the equation.
2 + -2 + 2x = 0 + -2
Combine like terms: 2 + -2 = 0
0 + 2x = 0 + -2
2x = 0 + -2
Combine like terms: 0 + -2 = -2
2x = -2
Divide each side by '2'.
x = -1
Simplifying
x = -1
= -x
I hope this helped, please mark Brainliest, thank you!! =)
Determine how many centimeters are in 1 yard if there are 2.54 centimeter per inch and 3 feet in a yard.
Answer:
91.44 cm
Step-by-step explanation:
2.54 x 12 = 30.48 cm per foot
30.48 x 3 = 91.44cm
The number of tickets that an ice rink sold for the last three days were: 80 (day 1), 92 (day 2), 102 (day 3). Use the trend method to forecast for the sales (the number of tickets that can be sold) of the rink in day 4. Keep two decimals in all the intermediate steps and round your final answer to the closest integer. 80 102 288 113 None of the solutions is correct
The correct answer is 113. To forecast the sales of the ice rink on day 4 using the trend method, we need to determine the trend equation based on the given data points.
The trend equation represents the overall pattern or trend in the sales data and allows us to make predictions for future values.
First, we need to calculate the average increase in sales per day. The average increase is obtained by dividing the total increase in sales over the three days (102 - 80 = 22) by the number of days (3 - 1 = 2). Therefore, the average increase in sales per day is 22 / 2 = 11.
Next, we can use the average increase to forecast the sales for day 4. Starting from the last known sales value (102), we add the average increase to project the sales for the next day. Thus, the forecasted sales for day 4 would be 102 + 11 = 113.
Therefore, the correct answer is 113.
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Please answer and show work will mark you as the brainlitest too have a blessed day
The values of the variables, the side lengths and the scale factors are calculated below
Calculating the values of the variablesQuestion 11
The height is calculated as
Height : 44 = 5 : 4
So, we have
Height/44 = 5/4
Evaluate
Height = 55
Question 12
The length BE is calculated as
BE : 3 = 10 : 12
Evaluate
BE = 4
Question 13
The scale factor of dilation (k) is calculated as
k = B/A
So, we have
k = 6/4
k = 1.5
Question 14
The perimeter of FGH is calculated as
Perimeter = 35 * 6/10
Perimeter = 21
Question 15
The value of x is calculated as
x : 10 = 24 : 16
So, we have
x/10 = 24/16
Evaluate
x = 15
Question 16
The length KL is calculated as
KL : 28 = 3 : 12
Evaluate
KL = 7
Question 17
The value of x is calculated as
x : 9 = 10 : 16
So, we have
x/9 = 10/16
Evaluate
x = 5.625
Question 18
The value of x is calculated as
x : 24 = 15 : 18
Evaluate
x = 20
Question 19
The scale factor of dilation (k) is calculated as
k = A'/A
So, we have
k = 3/1
k = 3
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Without finding the product, what is the sign of this product?(-4)(-1)(-2)(-6)(-3)(-5)(-2)(-2)
Answer:
positive (+)
Step-by-step explanation:
- × - = +
+ × - = -
+ × + = +
Answer:
there are 8 numbers, all are negetive and they are multiplied with each-other
we know, (-negative)(-nagative) = positive number
so even quantity of negative numbers multiplied with each-other makes a positive number.
so the sign of the product is +
Step-by-step explanation:
Lainey bought a set of 20 markers for $6.
What is the cost of one marker?
Answer:
19 cents
Step-by-step explanation:
divide 20 by 6
Answer:
3.333333333333 and on
Step-by-step explanation:
When you want to figure this problem out you need to divide the money she spent with the markers so 20/6 and then it would divide to the lowest number possible and then you would get your answer.
Can I be brainliest???
I NEED HELP ASAP ! THIS IS FOR A PAST DUE QUIZ. THEY ARE GIVING ME ONE MORE CHANCE
Answer:
3b/2 + 3
Step-by-step explanation:
The formula to calculate perimeter of rectangle is 2l + 2w
The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2
Using the formula to calculate perimeter you can substitute and calculate
p= 2l + 2w
p= 2(b/4 + 1/2) + 2(b/2 + 1)
p= 2b/4 +2/2 + 2b/2 +2
p= 1/2b + 1 + b + 2
p= 3/2b + 3
Simplified it's 3b/2 +3
Find the value of each variable.
10
45°
Answer: 10, 10sqrt(2)
Step-by-step explanation:
The value of each variables are,
x = 10
y = 10√2
We have to given that,
A right triangle is shown in image.
Now, For the value of each variables,
tan 45° = x / 10
1 = x/10
x = 10
By Pythagoras theorem we get;
⇒ y² = x² + 10²
⇒ y² = 10² + 10²
⇒ y² = 100 + 100
⇒ y² = 200
⇒ y = √200
⇒ y = 10√2
Therefore, the value is,
x = 10
y = 10√2
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A realtor leases 180 apartments in a building with 200 apartments. What fraction of the apartments, in tenths, is occupied?
The fraction of the occupied apartments is 9/10.
What is a fraction?In mathematics, a fraction is a symbol for a rational number.
Let a and b be two numbers, then their fraction can be represented as a/b.
Given that,
Total apartments in the building = 200.
Also,
The number of apartments leased by realtor = 180
The fraction of the apartments which is occupied by realtor
= number of apartments leased /Total apartments
= 180 / 200
= 18 / 20
= 9 / 10
The required fraction is 9/10, implies that from each 10 apartments, 9 apartments are occupied.
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WILL MARK BRAINLY
You have been promoted to assistant manager at Mountain Theaters and have been
given the project of determining which shape option for popcorn (given below) would maximize
profits for the theater. Show your work for determining the volume per price for each shape and
which would be your choice for the best profit option. Use 3.14 = t Show your work and
include correct units.
I
11 in
Popcorn
11 in
POPCORN
$6.50
$6.50
5 in
4 in
7 in
Answer:
sorry idont understand
The continuous function f is defined on the closed interval [−5,5]. The graph of f consists of a parabola and two line segments, as shown in the figure above. Let g be a function such that g′(x)=f(x) (a) Fill in the missing entries in the table below to describe the behavior of f′ and f′′. Indicate Positive, Negative, or 0 . Give reasons for your answers.
f'(x)Negative Zero Negative Zero Zero Zero Positive Positive
f''(x)Positive Negative Negative Zero Zero Positive Zero__ these two are the answer.
The continuous function f is defined on the closed interval [−5,5]. The graph of f consists of a parabola and two line segments.
Let g be a function such that g′(x)=f(x).The given figure is as follows: the function f is continuous on the closed interval [-5,5].
x-5-3-1-1012345f(x)_______-4_____-3_____-2_____-1______0_______1______2
f'(x)Negative Zero Negative Zero Zero Zero Positive Positive
f''(x)Positive Negative Negative Zero Zero Positive Zero__
f'(x) tells us how much the value of f(x) is changing as x increases, so it is the slope of f(x) function. When x < -3, f(x) is
decreasing since f'(x) is negative.When -3 < x < -1, f(x) is constant since f'(x) is zero.When -1 < x < 2, f(x) is decreasing
since f'(x) is negative.When x > 2, f(x) is increasing since f'(x) is positive.f''(x) tells us how much f'(x) is changing as x
increases. When x < -3, f'(x) is increasing since f''(x) is positive. When -3 < x < -1, f'(x) is decreasing since f''(x) is negative.
When -1 < x < 1, f'(x) is zero since f''(x) is zero. When 1 < x < 3, f'(x) is increasing since f''(x) is positive. The other entries
can be figured out by the same reasoning.
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Find an equation of the tangent line to the astroid at the (-3√3, 1).
x²/³ + y²/³ = 4
The equation of the tangent line to the astroid at the point (-3√3, 1) is: y = -(3√3)^(1/3)x - 3(3√3)^(1/3) + 1
To find the equation of the tangent line to the astroid at the point (-3√3, 1), we need to first find the slope of the tangent line.
We can do this by taking the derivative of the equation of the astroid with respect to x, and then evaluating it at the point (-3√3, 1).
Taking the derivative of x²/³ + y²/³ = 4 with respect to x, we get:
(2/3)x^(-1/3) + (2/3)y^(-1/3) * dy/dx = 0
Solving for dy/dx, we get:
dy/dx = (-x^(1/3))/y^(1/3)
Substituting x = -3√3 and y = 1, we get:
dy/dx = (-(-3√3)^(1/3))/(1^(1/3)) = -(3√3)^(1/3)/1
So the slope of the tangent line at the point (-3√3, 1) is -(3√3)^(1/3).
Now we can use the point-slope form of the equation of a line to find the equation of the tangent line. The point-slope form is:
y - y1 = m(x - x1)
Substituting x1 = -3√3, y1 = 1, and m = -(3√3)^(1/3), we get:
y - 1 = -(3√3)^(1/3)(x + 3√3)
Simplifying, the equation of the tangent line to the astroid at the point (-3√3, 1) is:
y = -(3√3)^(1/3)x - 3(3√3)^(1/3) + 1
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Find the area of this semi-circle with radius,
r
= 10cm.
Give your answer as an expression in terms of
π
.
The diagram is not drawn to scale.
The area of this semi-circle with a radius of 10cm will be A=100\(\pi\) Square cm.
What is the Area of the circle?The Area of the circle is the area enclosed by the circle in the two-dimensional plane.The formula for the area of the circle is given by:
\(A=\pi r^2\)
here r is the radius of the circle r=10cm
So the area of the circle will be:
\(A=\pi r^2\)
\(A=\pi \times {10}^2\)
\(A=100\pi\ cm^2\)
Hence the area of this semi-circle with a radius of 10cm will be A=100\(\pi\) Square cm.
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What is the mean of this data set?
{10, 5, 7, 9, 5, 18}
Enter your answer in the box.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
\(\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}\)
What is the mean of the dataset (10, 5, 7, 9, 5, 18)?
\(\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}\)
Mean \(\rightarrow\) 9
\(\blue{\textsf{\textbf{\underline{\underline{How to solve:-}}}}\)
First, add all the numbers together:-
10+5+7+9+5+18
\(\textsf{54}\)
Now divide by how many numbers there are (6):-
54:6=9
So the mean of the dataset is 9.Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Answer:
9
Step-by-step explanation:
To find the mean, add up all the numbers and then divide by the number of terms
(10+5+7+9+5+18)
54
There are 6 terms
54/6=9
The mean is 9
In a survey collecting data about the salaries earned by recent college graduates, Li found that her salary was in the 78 t h percentile. Should Li be pleased or upset by this result? Explain. Li should be pleased with her salary.
Being in the 78th percentile is a positive result, and Li should feel pleased and satisfied with her salary.
Yes, Li should be pleased with her salary. Being in the 78th percentile means that Li's salary is higher than 78% of the salaries reported in the survey. In other words, the majority of recent college graduates earn a lower salary than Li does. This is a positive outcome and indicates that Li is earning more than a significant portion of her peers.
Being in a higher percentile suggests that Li's salary is above average and reflects her market value and the demand for her skills and qualifications. It indicates that she is likely being compensated fairly for her education, experience, and the value she brings to her employer. This can be seen as a validation of her hard work, dedication, and successful entry into the job market.
Moreover, being in the 78th percentile also implies that Li has a higher income relative to a large proportion of individuals her age, which can provide financial stability and opportunities for personal and professional growth.
Overall, being in the 78th percentile is a positive result, and Li should feel pleased and satisfied with her salary.
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a traffic study has shown that the probability that 55 cars will pass over a small bridge in a 4-4-minute period is 0.16.0.16. what are the odds against exactly
Final answer:
The odds against exactly 5 cars passing over the bridge in that time is calculated as 4:21
Why don't we use probability instead of odds ?
A probability must be between 0 and 1 (nothing can happen with a greater than 100% likelihood). The chances are not as limited. Odds can be any positive number; for example, a chance of 2/3 is equivalent to odds of 2/1. By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula.
By dividing the odds in the first group by the odds in the second group, the odds ratio is calculated. For many clinicians, odds and odds ratios are difficult to comprehend. Odds are calculated by dividing the likelihood of an event happening by the probability that it won't.
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What is wrong in the following additions?
(a)
(b)
NO
8
+2
4 4
=12
8
6 3
Answer:
didn't understood the question much sorry
Raise the number to the given power and write the answer in rectangular form. [4( cis 66°)]5 [4( cis 66°)15 = (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Type your answer in the form a + bi.)
The rectangular form of (4(cis 66°))⁵ is -1024√3/2 - 512i.
What is the rectangular form of the complex number (4(cis 66°)) ⁵?
To raise the complex number 4(cis 66°) to the power of 5, we can use De Moivre's Theorem.
According to De Moivre's Theorem, (r(cis θ))ⁿ = rⁿ(cis nθ), where r is the magnitude and θ is the argument of the complex number.
In this case, the magnitude of the complex number is 4, and the argument is 66°. Thus, we have:
(4(cis 66°))⁵ = 4 ⁵(cis 5 ˣ 66°) = 1024(cis 330°).
To simplify this answer, we can convert the polar form to rectangular form using the relationship x + yi = r(cos θ + i sin θ):
1024(cis 330°) = 1024(cos 330° + i sin 330°).
Now, we can evaluate the trigonometric functions of 330°:
cos 330° = -√3/2 and sin 330° = -1/2.
Substituting these values back into the rectangular form, we have:
1024(cos 330° + i sin 330°) = 1024(-√3/2 - (1/2)i).
Therefore, the answer in rectangular form is -1024√3/2 - 512i.
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p = 2i+ 2w
Find p if i = 79 and w = 21.
p=
Answer:
200
Step-by-step explanation:
\(p=2\cdot \:79+2\cdot \:21\\2\cdot \:79=158\\p=158+2\cdot \:21\\2\cdot \:21=42\\p=158+42\\p=200\)
what is the approximate circumference of the circle shown below?
Answer:
B. 56.52
Step-by-step explanation:
C = 2πr
C = circumferencer = radius of the circlethe constant pi = 3.14Therefore,
56.52 = 2(3.14)(9)
Feel free to message me if you still have questions :)
PLEASE ANSWER WILL GIVE BRAINLIEST IF CORRECT!!!
Solve for x. Round to the nearest tenth, if necessary.
Given c=78 and ∠α=35°,
a = 44.73896
b = 63.89386
∠β = 55° = 0.95993 rad
h = 36.64801
area = 1,429.27248
perimeter = 186.63282
inradius = 15.31641
circumradius = 39
What is the solution to the following system of equations?
{y=−3x−7
{x+2y=11
A. (1,9)
B. ( 8,-5)
C. (-5,8)
D. (9,1)
Match each equation with its solution set. 2(4 - 4x) = 4- 8x 8(x+4) = 8x + 32 2(4 -4x) = 8x + 4 8(x + 4) = 8x + 4 A. all real numbers B. No solution C. 1/4 D. 4
1. Given the equation:
\(2\left(4-4x\right)=4-8x\)to solve for x:
\(\begin{gathered} 8-8x=4-8x \\ 8=4 \end{gathered}\)b. no solution
2. Given the equation:
\(8\left(x+4\right)=8x+32\)to solve for x:
\(\begin{gathered} 8x+32=8x+32 \\ 8x-8x=32-32 \\ 0=0 \end{gathered}\)a. all real numbers
3. Given the equation:
\(2\left(4-4x\right)=8x+4\)to solve for x:
\(\begin{gathered} 8-8x=8x+4 \\ 8-4=8x+8x \\ 4=16x \\ x=\frac{1}{4} \end{gathered}\)c. 1/4
4. Given the equation:
\(8\left(x+4\right)=8x+4\)to solve for x:
\(\begin{gathered} 8x+32=8x+4 \\ 32=4 \end{gathered}\)b. no solution
Choose all the equations that are true if y = 6.
52.37 – 46.37 = y
2 / 3 y = 4 1/2
8y = 48
3.2 + y = 9
y = 4 = 24
Answer:
The first and third.
Step-by-step explanation:
For the first one, you just subtract 52.37 and 46.37 and the answer is 6, so that makes the equation 6=y, which is right. The second one equals 6.75, so that's not what we need. For the third one, you divide by 8 on both sides to isolate y, and that results in y=6, which is right. For the fourth one you subtract by 3.2 on both sides to isolate y and that results in 5.8, which isn't what we need. I think for the last one you meant to type y=4+24, in which case that would be y=28, which isn't what we need.
can someone help please??
Answer:
The scores in order from least likely to most likely is 8, 3, 4, and 5.
Step-by-step explanation:
1. Calculate the probability of the spinner adding up to 1, 2, 3, 4, .... 8
You will get:
2 (1/16)
3 (2/16)
4 (3/16)
5 (4/16)
6 (3/16)
7 (2/16)
8 (1/16)
2. Given the scores from the problem, the probability of each number is 3 (2/16), 4 (3/16), 5 (4/16), and 8 (1/16).
3. With this, we can determine the scores in order from least likely to most likely is 8, 3, 4, and 5.
Triangle KLM repreent a ection of a park et aide for picnic table. The picnic area will take up approximately 400 quare yard in the park. Triangle K L M i hown. The length of K M i 45 yard and the length of L M i 20 yard. Angle L K M i 25 degree. Trigonometric area formula: Area = One-half a b ine (C)
To the nearet yard, what amount of fencing i needed to urround the perimeter of the picnic area?
95 yard
107 yard
160 yard
190 yard
The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.
In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.
We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.
We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.
Using this in the given triangle KLM, we get:
Area = (1/2)(KL)(KM)(sin K),
or, 400 = (1/2)(KL)(45)(sin 25°),
or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.
Thus, we get KL = 42 yards.
Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.
Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.
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Answer: b
Step-by-step explanation:
For the preceding problem you should find that there are significant differences among the three treatments. Onee reason for the significance is that the sample variances are relatively small. The following data have the same sample means that appeared in the preceding question, but the SS values within each sample are doubled
Calculate the sample variance for each of the three samples These values are the variances in the previous question (12.00, 13.00, and 8.00)
The SS value for the first, second and third sample is 24, 26 and 18 respectively. Upon dividing the SS value by the sample size minus one, sample variance can be derived.
In the previous question, there were significant differences among the three treatments, partially due to the relatively small sample variances. Now, with the SS (sum of squares) values within each sample doubled, we need to calculate the new sample variances. The values provided in the previous question were 12.00, 13.00, and 8.00.
To calculate the sample variance for each of the three samples, we utilize the formula for variance, which is the sum of squared deviations from the mean divided by the sample size minus one.
For the first sample with a previous variance of 12.00, if the SS value is doubled, the new SS value would be 24.00. To calculate the new sample variance, we divide this SS value by the sample size minus one.
Similarly, for the second sample with a previous variance of 13.00, the doubled SS value would be 26.00. Again, we divide this SS value by the sample size minus one to calculate the new sample variance.
Lastly, for the third sample with a previous variance of 8.00, the doubled SS value would be 16.00. We divide this SS value by the sample size minus one to obtain the new sample variance.
By performing these calculations, we can determine the new sample variances for each of the three samples, which will reflect the changes resulting from the doubled SS values within each sample.
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please helpp i wil give 10 pointss
Answer:
x= 17
y= 8
QPR= 35
QRP= 60
Step-by-step explanation:
Find the volume of a right circular cone that has a height of 15 ft and a base with a radius of 7. 9 ft
Answer:
883.57
Step-by-step explanation:
closet answer I can find
What is the value of x (8x-8)° (7x+8)°
I'm going to assume they are the same angle.
Steps to solve:
(8x - 8) = (7x + 8)
~Add 8 to both sides
8x = 7x + 16
~Subtract 7x to both sides
x = 16
Best of Luck!
write 7.171717 as a mixed number
Answer:
7 17/99
Step-by-step explanation: