The value of the green box is 0.
To solve the equation\({3x-6} +{ x-2}= \frac{3x-6 + x - 2}{1} = 180$\), we first simplify the left side of the equation:
\({3x-6}{x-2} = \frac{(3x-6) + (x-2)}{x-2} = \frac{4x-8}{x-2}$$\)
Now we can rewrite the original equation as:
\(\frac{4x-8}{x-2} = 180$$\)
Next, we can multiply both sides of the equation by x-2 to eliminate the denominator:
\($$(4x-8) = 180(x-2)$$\)
Expanding the right side gives:
\($$(4x-8) = 180x - 360$$\)
Simplifying and moving all the terms to the left side gives:
\($$176x - 352 = 0$$\)
Adding 352 to both sides gives:
176x = 352
Finally, dividing both sides by 176 gives:
\(x = \frac{352}{176} = 2\)
Therefore, since there is no constant term on the left side of the equation after combining like terms.
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A normal distribution has a mean of 7 and a standard deviation of 2 . What percent of values are from 7 to 13?
49.87 because I searched it up
I'm stuck and I need help right now
Answer:
See below.
Step-by-step explanation:
Make a table with values at certain values of x from -2 to 2.
Write in the table f(x) and g(x), and then h(x).
Then, plot the points for h(x).
See the picture below.
1. Which expression is equivalent to the expression shown
below? 10 + 8y - 9y – 21
A. 2(5 + 4y - 7y - 19)
H. 2(5 + 4y) – 3 (3y – 7)
I. 4(5 + 2y – 5y - 17)
J. 4(5 + 2y) - 3(3y + 7)
K.-(y + 1)
L. -(1-y)
M. y - 1
Answer:
10+8y-9y-12 is equivalent to H.
Are the lines x = 2 and y = 5 parallel? Are the perpendicular? Explain.
=
Answer: Yes
Step-by-step explanation:
x=2 is a vertical line with an undefined slope, and y=5 is a horizontal line with a slope of 0. Since these lines have slopes that are negative reciprocals, they are perpendicular.
There are a total of 10 pigs and ducks in the barn. There are 36 legs in all (each pig has four legs and each duck has two legs). Use substitution to solve the linear system of equations and determine how many pigs, x and ducks, y there are. Express the solution as an ordered pair (x,y).
Answer: 8 pigs and 2 ducks.
1. (A) p + d = 10
2. (B) 4p + 2d = 36
3. Multiply equation (A) with -2; -2p minus -2d = -20
4. When subtracted from equation (B), this gives you.. 2p = 16, pigs = 8
5. Use this 8 to the second equation by substitution.. 2d = 4, ducks = 2
On November 1, Jovel Company loaned another company $100,000 at a 6% interest rate. The note receivable plus interest will not be collected until March 1 of the following year. The company's annual accounting period ends on December 31, and adjustments are only made at year-end. The adjusting entry needed on December 31 is:
Oliver did the high jump three times. His scores were 7.016 feet, 5.42 feet, and 8.308 feet. How many feet did he jump in total? pleas help im in test
The total height of the three jumps is A = 20.744 feet
Given data ,
1st high jump score: 7.016 feet
2nd high jump score: 5.42 feet
3rd high jump score: 8.308 feet
On adding the scores , we get
7.016 + 5.42 + 8.308 = 20.744 feet
On simplifying the equation , we get
A = 20.744 feet
Hence , Oliver jumped a total of 20.744 feet in the three high jumps
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To compare freshmen’s knowledge of mathematics in two departments of a university, a certain professor in Mathematics got a sample of Education and Nursing students and gave a special examination. A sample of 25 Education students has a mean score of 88.50 with standard deviation of 7.5. A sample of 29 Nursing students have a mean score of 90.25 with a standard deviation of 8.2. Is there a significant difference between the two sample means? Use α = .01 level of significance.
There is no significant difference between the mean scores of Education and Nursing students in mathematics.
Is there a significant difference between the mean scores?Null hypothesis (H₀): There is no significant difference between the mean scores of Education and Nursing students in mathematics.
Alternative hypothesis (H₁): There is a significant difference between the mean scores of Education and Nursing students in mathematics.
We will use significance level (α) of 0.01.
Given:
Sample mean for Education students (x₁) = 88.50
Sample mean for Nursing students (x₂) = 90.25
Standard deviation for the Education student sample (s₁) = 7.5
Standard deviation for the Nursing student sample (s₂) = 8.2
Sample size for Education students (n₁) = 25
Sample size for Nursing students (n₂) = 29
The t-test statistic for two independent samples is:
t = (x1₁ - x2) / sqrt((s₁² / n₁) + (s₂² / n₂))
t = (88.50 - 90.25) / sqrt((7.5² / 25) + (8.2² / 29))
t ≈ -0.8187
In this case, df = 24.
The critical value for α = 0.01 and df = 24 is approximately ±2.797.
Since |-0.8187| < 2.797, the absolute value of the t-test statistic is smaller than the critical value.
Therefore, we fail to reject the null hypothesis.
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What is the square root of -2x^2
Answer:
-2x
Step-by-step explanation:
the answer for the question is -2x
determine the value of
�
(
�
∩
�
)
P(A∩B), rounding to the nearest thousandth, if necessary.
The probability of the intersection P(A∩B) is 0
What is the probability of the intersection P(A∩B)From the question, we have the following parameters that can be used in our computation:
Event A = 18
Event B = 12
Intersection = 0
Other Events = 6
Using the above as a guide, we have the following:
Total = A + B + C
So, we have
Total = 18 + 12 + 6
Evaluate
Total = 36
So, we have
P(A) = 18/36
P(B) = 12/36
For the intersection events, we have
P(A∩B) = 0/36
Evaluate
P(A∩B) = 0
Hence, the probability of P(A∩B) is 0
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8. What does the y-intercept represent?
A. It shows that during the week a movie is released, it is rented about 20 times.
B. It shows that 6 weeks after a movie is released, it is rented about 3 times.
C. It shows that 3 weeks after a movie is released, it is rented about 6 times.
D. It shows that 20 weeks after a movie is released, it is rented 0 times.
what is the quotient of 434 divided by 7
That’s easyyyyy
Step-by-step explanation:
It’s 62...
:)
Answer:
62 :)
Step-by-step explanation:
A building is acquired on January 1,at a cost of 930,000 with estimated useful life of 8 years and salvage value of 73,700
Answer:
Year 1 = $196,000
Year 2= $156,800
Year 3= $125,440
Step-by-step explanation:
$980,000 x 20 % = $196,000
Net book value
$980,000 - $196,000 = $784,000 (to be used as base for year 2)
Year 2
$784,000 x 20% = $156,800
Net book value
$784,000 - 156,800 = $627,200
Year 3
$627,200 x 20% = $125,440
Net book value
$627,200 - $125,440 = $501,760
*Salvage value is ignored in computing the yearly depreciation expense under double-declining-balance method. The reason of it is that, it will take longer to depreciate an asset compare to it’s useful life if we deduct salvage value from original cost in depreciating an asset.
Discussed the strength of the correlation, the slope of a line of best fit, and whether there are any clusters or outliers on the scatter plot .
Find the smallest positive integer, n,such that 168n is a square number.
Answer:
n = 42 and the square number is 7056
==============================
Prime factors of 168 are:
168 = 2*2*2*3*7In order to make 168n a square number we need to use each prime factor even number of times.
Add 2, 3 and 7 to the prime factors (as a minimum) to get:
168*2*3*7 = 168*42 = 2⁴*3²*7² = (2²*3*7)² = 84² = 7056The sun of the 2 digits of a certain number is 5. If 9 is added to the original number, the new number will have the original digits reversed. Find the number
Answer:
23
Step-by-step explanation:
Assume the digits are
1, 4 or 2,3
The number can be 14, 41, 23, 32
Test each one:
14 + 9 = 23 does not work
41 + 9 = 50 does not work
23 + 9 = 32 works
32 + 9 = 41 does not work
What is the solution to the equation?
5(n - 1/10) = 1/2
Answer:
i have made it in picture hope it help
4
(Graphing Proportional Relationships LC)
The table shows a proportional relationship.
x 12 8 24
y 3 26
Describe what the graph of the proportional relationship would look like.
O Aline passes through the point (0, 0) and continues through the point (3, 12).
O Aline passes through the point (0, 0) and continues through the point (2,8).
A line passes through the point (0, 0) and continues through the point (6, 24).
A line passes through the point (0, 0) and continues through the point (12, 3).
Question 2(Multiple Choice Worth 2 points)
(Graphing Proportional Relationships MG)
The correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3)
For the first question:
The table shows a proportional relationship between x and y. To describe what the graph of this proportional relationship would look like, we can examine the given data points.
The data points are (12, 3), (8, 26), and (24, ?). We can observe that as x increases, y also increases. This indicates a positive correlation between the variables. Additionally, we can see that the ratio of y to x remains constant for each data point.
Now, let's analyze the answer options:
A. A line passes through the point (0, 0) and continues through the point (3, 12).
This answer option does not align with the given data because there is no data point with an x-value of 3 and a corresponding y-value of 12.
B. A line passes through the point (0, 0) and continues through the point (2, 8).
This answer option aligns with the given data because (2, 8) is a valid data point from the table, and the line passes through the origin (0, 0).
C. A line passes through the point (0, 0) and continues through the point (6, 24).
This answer option does not align with the given data because there is no data point with an x-value of 6 and a corresponding y-value of 24.
D. A line passes through the point (0, 0) and continues through the point (12, 3).
This answer option aligns with the given data because (12, 3) is a valid data point from the table, and the line passes through the origin (0, 0).
Based on the analysis, the correct answer is option D: A line passes through the point (0, 0) and continues through the point (12, 3). This accurately represents the graph of the proportional relationship given in the table.
For the second question, I'm sorry, but you didn't provide the multiple-choice options or the complete question. Could you please provide the question and options so that I can assist you further?
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PLEASE ANSWER what are the slopes to these graphs ?
Answer:
13. 1/4x
14. -2/4x or -1/2x
15 1/3x or 2/6x
16. Zero
Step-by-step explanation:
13. goes up once and goes to the side 4 times
14. goes down twice and goes to the side 4 times
15. goes up one time and three to the side
16. zero slope, the line is horizontal
Answer:
13. 1/4
14. -1/2
15 1/3
16. Zero
Step-by-step explanation:
the mean, the median, and the are basic statistical measures that determine characteristics of a given group of numbers.
Answer:
middle set of data
Step-by-step explanation:
Select the correct answer.
You’re trying to determine what the temperature is outside. The thermometer says it’s 24°C. You convert this temperature to 100°F. If a mistake was made during the conversion process, how did it happen?
A.
You converted Fahrenheit to Celsius instead of Celsius to Fahrenheit.
B.
You added 32 before multiplying by instead of multiplying by and then adding 32.
C.
You multiplied by instead of multiplying by .
D.
No mistake was made.
Answer:
B. You added 32 before multiplying by instead of multiplying by and then adding 32.
The cash register subtracts $2.00 from a $10 Coffee Cafe gift card for every medium coffee the customer buys. Use the graph to write an equation in slope-intercept form to represent this situation.
The equation of the line in the slope-intercept form is: y = -2.00 x + 10.
The slope and provided point are both in the equation for the straight line.
The generic point (x, y) must satisfy the equation if we have a non-vertical land in a that passes through any point(x1, y1) has gradient m.
y-y₁ = m(x-x₁)
It is the necessary equation for a line in the form of a point-slope.
That gift card to the Coffee Café has been provided. = $10
Medium coffee = $2.00
customers
The quantity of coffees a consumer can purchase can be represented using a linear equation.
Slope formula
m = (8 - 10)/(1 - 0)
m = -2
Now consider the line's point-slope shape.
y-y₁ = m(x-x₁)
( y - 10) = -2.00 ( x - 0)
y = -2.00 x + 10
The slope: m = - 2.00
The equation of the line: y = -2.00 x + 10
The y-intercept is 10
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find the output, y, when the input, is 5 y= 5x - 3
-2 2/3 + d/6 = 2/3
I am having trouble solving this equation.
Answer:
d = 20
Step-by-step explanation:
\(\sf-2\frac{2}{3} +\frac{d}{6} =\frac{2}{3}\)
First, make -2 2/3 as a improper fraction.
\(\sf-\frac{8}{3} +\frac{d}{6} =\frac{2}{3}\)
Add 8/3 to both sides.
\(\sf \frac{d}{6} =\frac{2}{3}+\frac{8}{3}\\\\\sf \frac{d}{6} =\frac{10}{3}\)
Now use cross multiplication.
\(\sf3d=6*10\\\\3d=60\)
Divide both sides by 3.
\(\sf d=20\)
A population of 40 bees double every month. How many will he have in 8 months?
Answer:
640 bees
Step-by-step explanation:
8 multiplied by 2 = 16
16 multiplied by 40 = 640
Pls answer this ASAP I mark BRAINIESTTTT and giving 100 POINTS
Answer:
126 meters squared
Step-by-step explanation:
first you need to add the sides so that it is one measurement of the big rectangle. The sides are 13 x 12. mutiply those together to get 156. That is the entire area of the whole rectangle. then you need to subtract out the unshaded regions. The middle one (c) is simple, 9 meters. The corner ones (a and b) are a bit tricker. It comes out to 10.5 meters each. Now subtract the unshaded regions in an equation that looks somewhat like this:
156-10.5-10.5-9= 126
Answer:
139m²
Step-by-step explanation:
3 * 3 = 9m
3.5 * 3 = 10.5 * 2 = 21
9 + 21 = 30
13 * 13 = 169
169 - 30 = 139
Best of Luck!
Use the completing the square to solve x^2+6x=12.
Answer:
x= -3 ± \(\sqrt{21}\)
Step-by-step explanation:
\(x^{2}\)+6x=12
We add 9 [\((6/2)^{2}\)] to both sides to complete the square as \(x^{2}\)+6x+9 = \((x+3)^{2}\).
\((x+3)^{2}\)=21
Now we take the square root of both sides:
x+3=±\(\sqrt{21}\)
x= -3 ± \(\sqrt{21}\)
Answer:
x = -3 ± \(\sqrt{21}\)
Step-by-step explanation:
\(x^2+6x=12\)
\((\frac{b}{2} )^{2}\) = 9
\(x^2+6x + 9 =12 + 9\)
\((x+3)^{2} =21\)
x + 3 = \(\sqrt{21}\)
x = -3 ± \(\sqrt{21}\)
(A) The lines have different slopes and intersect at one point?(B) The lines have the same slope and y intercept.?(C) The lines are parallel and do not intersect.?(D) The lines have the same slope and y-intercept.?(E) Infinitely many solutions.?(F) They are the same line.? (G) No Solution ? (H) One solution.?
Recall that if two lines have the same slop then these two lines are parallel to each other.
the y-intercept is an x-coordinate of the point where the line intersects at the y-axis.
Consider graph 1.
The line intersects at one point and has different slopes, hence this has one solution.
(A) and (H) is true for graph 1.
Consider graph 2.
The lines have the same slope, therefore parallel but there is no y-intercept point.
This have infinitely many solutions.
They are also the same line.
(E) and (F) is true for this graph 2.
Consider graph 3.
The lines have the same slope and they are parallel.
It gives B) is correct
They do not intersect since parallel does not intersect each other.
It gives C) is correct
There is no solution since they do not intersect.
It gives G) is correct.
These lines have intercepted at -1 and -4.
It gives D) is correct
B), D), C), G), D) are correct for graph 3.
Results:
Options Graph
A) 1
B) 3
C) 3
D) 3
E) 2
F) 2
G) 3
H) 1
H +6g when 9=g and h=4
Hey there!
\(g+6g\\g=9,h=4\)
\(4(h)+6(9(g))\)
\(4+6(9)\)
\(=58\)
Hope this helps!
Can someone help me with this???
The answer to number 2 is- no it's not a right triangle
the answer to number 3 is- yes it is a right triangle