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Related Questions
When solved for x, which inequality represents the number line?
A) 12x − 8 > 8 + 4x
B) 12x − 8 > 8 − 4x
C) 12x + 8 > 8 + 4x
D) 12x + 8 > 8 − 4x
Answers
I think its C, i could be wrong but im pretty sure its C
prove that the points (2,-2),(-2,1) and (5,2) are the vertices of a right angled triangle. also find the area of this triangle
Answers
Answer:
1st use distance formula for each side of the triangle
then use PT for checking if they are equal then u will get it as equal
then use area of triangle formula u will get the ans explanation:
If x=6, how do I find y?
Answers
Answer:
y = 35
Step-by-step
(5x - 20) + (5x +4y) = 180
Replace x with 6.
(30-20) + (30 + 4y) = 180
10+30+4y = 180
40+4y = 180
4y = 180-40
4y = 140
y = 35
Endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 hours and a standard deviation of 40 hours. What is the probability that an endure all battery selected at random will last more than 550 hours?.
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An Endure chosen randomly the likelihood of any battery lasting longer than 550 hours is 10.56%.
What does z score mean?An indicator of how nearly a value relates to the mean of either a set of values is called a Z-score.Z-score is quantified using standard deviations relative to the mean.The data point's entire score is equal to the mean score when the Z-score is 0.The amount that the raw score departs first from mean is determined using the Z score.These steps are used to determine the Z score:
z = (x - μ)/σ
As mentioned in question-
x > 550 and μ = 500, σ = 40:
z = 550 - 500 / 40
z = 1.25
Obtain the p-value from normal distribution chart,
P(z > 1.25) = 1 - P(z < 1.25)
P(z > 1.25) = 1 - 0.8944
P(z > 1.25) = 0.1056
Thus, an Endure chosen at random the likelihood of any battery lasting longer than 550 hours is 10.56%.
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Are (2, 11) and (5, 3) solutions of the equation y = 3x + 5? Show work
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if you double the length of the sides of a triangle, does teh area double
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No, doubling the length of the sides of a triangle does not result in doubling the area. When the length of the sides of a triangle is doubled, the area of the triangle increases by a factor of four, not two.
The area of a triangle is determined by its base and height. When the sides of the triangle are doubled, both the base and height are doubled as well.
The formula for the area of a triangle is given by A = (1/2) * base * height. If we double both the base and the height, the new area becomes A' = (1/2) * (2 * base) * (2 * height), which simplifies to A' = 2 * 2 * (1/2) * base * height = 4 * A. Therefore, doubling the sides of a triangle results in quadrupling its area, not doubling it.
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what is x in the following equation
y=3x-5
6x+3y=15
Answers
Answer:
x = 2 , y = 1
Step-by-step explanation:
Solve the following system:
{y = 3 x - 5 | (equation 1)
3 y + 6 x = 15 | (equation 2)
Express the system in standard form:
{-(3 x) + y = -5 | (equation 1)
6 x + 3 y = 15 | (equation 2)
Swap equation 1 with equation 2:
{6 x + 3 y = 15 | (equation 1)
-(3 x) + y = -5 | (equation 2)
Add 1/2 × (equation 1) to equation 2:
{6 x + 3 y = 15 | (equation 1)
0 x+(5 y)/2 = 5/2 | (equation 2)
Divide equation 1 by 3:
{2 x + y = 5 | (equation 1)
0 x+(5 y)/2 = 5/2 | (equation 2)
Multiply equation 2 by 2/5:
{2 x + y = 5 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract equation 2 from equation 1:
{2 x+0 y = 4 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 2:
{x+0 y = 2 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = 2 , y = 1
Answer:
X=2
Step-by-step explanation:
Please help! Its algebra!
Answers
Step-by-step explanation:
don't panic. just read carefully and write equations for every relation described in the text.
perimeter = 34 cm = side 1 + side 2 + side 3
side 1 = 2×side 3
side 3 = (side 1) / 2
side 2 = (side 1) + 4
now we use the last 2 equations in the first :
34 = side 1 + ((side 1) + 4) + (side 1)/2
68 = 2×(side 1) + 2×((side 1) + 4) + side 1
68 = 2×(side 1) + 2×(side 1) + 8 + side 1
68 = 5×(side 1) + 8
60 = 5×(side 1)
side 1 = 60/5 = 12 cm
side 2 = (side 1) + 4 = 12 + 4 = 16 cm
side 3 = (side 1)/2 = 12/2 = 6 cm
you see ? it is all just straight forward. no mystery.
the only trick is to find forms of the various equations to have only one variable in the main equation. like we did here with side 1 and side 3.
Does the point (2, 3) lie on the graph of y =3x-4? explain.
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The circumference of a circle is 106.76 meters. What is the circle's diameter?
Answers
So, C = pi*d
106.76 = pi*d
106.76/pi = d
d = ~33.98
Answer:
33.98
Step-by-step explanation:
To find the diameter of a circle when you have a circumference, all you need to do is divide the circumference by pi. (So 106.76 ÷ π)
So:
106.76 ÷ π = 33.98276344.... (irrational number)
I just cut off the rest of the numbers at the hundredth place for simplicity. Another way you could put it is:
\(\frac{106.76}{\pi }\) which is basically saying 106.76 divided by pi.
Hope this helps and have a nice day!
joseph ran 12 miles in 1.5 hours. what was his speed in miles per hour
Answers
As it is a rate then you can solve the problem solving in the following way
\(\begin{gathered} \frac{12\text{ miles}}{1.5\text{ hours}}=\frac{x\text{ miles}}{1\text{ hour}} \\ \text{Multiply by 1 hour on both sides of the equation} \\ \frac{12\text{ miles}}{1.5\text{ hours}}\cdot1\text{ hour}=\frac{x\text{ miles}}{1\text{ hour}}\cdot1\text{ hour} \\ 8\text{ miles = x} \end{gathered}\)Therefore, Joseph was a speed of 8 miles per hour.
if δonp is rotated 180° about point n, which additional transformation could determine if δonp and δmnl are similar by the aa similarity postulate
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Rotating δONP 180° about point N establishes that the angles of δONP and δMNL are congruent. To determine if the triangles are similar using the AA similarity postulate, we need to perform a dilation centered at point N and compare the ratios of corresponding sides.
The additional transformation that could determine if δONP and δMNL are similar by the AA similarity postulate is a dilation. The AA similarity postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
In this case, if δONP is rotated 180° about point N, it means that all the points of the triangle δONP are flipped and positioned on the opposite side of point N. This rotation does not affect the shape or size of the triangle, but only changes its orientation.
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During a musical, an orchestra is playing. As the music plays, the volume changes at the beginning of the piece can be modeled by the equation s = 10│x - 4│+ 50 where s represents the sound level in decibels and x represents the number of measures of music played. Explain in words each step to find the following question:
At what number(s) measures played would the sound level be at 80 decibels?
Answers
Answer:
what
Step-by-step explanation:
...
Next, we subtract 50 from both sides of the equation.
Next, we divide both sides of the equation by 10
Next, to eliminate the absolute value bars, we will add a ± sign in front of our s value, 3.
Finally, we add 4 to both sides of our equation giving us 4 ± 3 = x
Separating this into two equations, we get 4 - 3 = x and 4 + 3 = x
Therefore, x, the number of measures of music played, must be either 1 or 7.
Let R={(a,a),(a,b),(a,c),(a,d),(b,a),(b,b),(b,c),(b,d),(c,c),(d,a),(d,b),(d,c),(d,d)} be a relation on {a,b,c,d}. Use the matrix method to show that R is transitive. Note: Must use the matrix method.
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The relation R is transitive, as demonstrated through the matrix method where every pair (x, y) and (y, z) in R implies the presence of (x, z) in R, based on the matrix representation.
To demonstrate this using the matrix method, we construct the matrix representation of the relation R. Let's denote the elements of the set {a, b, c, d} as rows and columns. If an element exists in the relation, we place a 1 in the corresponding cell; otherwise, we put a 0.
The matrix representation of relation R is as follows:
\(\left[\begin{array}{cccc}1&1&1&1\\1&1&1&1\\0&0&1&0\\1&1&1&1\end{array}\right]\)
To check transitivity, we square the matrix R. The resulting matrix, R^2, represents the composition of R with itself.
\(\left[\begin{array}{cccc}4&4&3&4\\4&4&3&4\\2&2&1&2\\4&4&3&4\end{array}\right]\)
We observe that every entry \(R^2\) that corresponds to a non-zero entry in R is also non-zero. This verifies that for every (a, b) and (b, c) in R, the pair (a, c) is also present in R. Hence, the relation R is transitive.
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Ruben bought 666 comic books for \$21$21dollar sign, 21. Each comic book was the same price.
what was the cost for 1 comic book
Answers
9514 1404 393
Answer:
$3.50
Step-by-step explanation:
If c represents the cost of one comic book, the transaction can be written as the equation ...
6c = $21
Dividing by 6, we get ...
c = $21/6 = $3.50
The cost for 1 comic book was $3.50.
_____
You know that the total cost of a transaction is the sum of the costs of each part. When all the parts have the same value, we can multiply the cost of one part by the number of parts.
Answer:
3.50
Step-by-step explanation:
Simplify the expression.
6x + 1/2(6x+8)
9x + 4
9 + 4x
12x + 8
9x + 8
Answers
Answer:
its b
Step-by-step explanation:
i did the test already
Help! To solve this system of equations by elimination, what operatfon could be used to eliminate the x-variable and find the value of y?
6x + 5y = 2
4x + 2y = 8
es )
A)
subtract 2 times the second equation from 3 times the first equation
B)
subtract 3 times the second equation from 2 times the first equation
9
subtract 5 times the second equation from 2 times the first equation
D)
subtract 2 times the second equation from 5 times the first equation
Answers
Answer:
c)
subtract 5 times the second equation from 2 times the first equation
Step-by-step explanation:
subtract 5 times the second equation from 2 times the first equation
This will make the coefficient of the y variable 10
for both equations
10y - 10y = 0
leaving only x
if f(x)=4ˣ-8 and g(x)=5x+6, find (f-g) (x)
Answers
Answer:
(f-g) (x) is
\( {4}^{x} - 5x - 14\)
Step-by-step explanation:
f(x)=4ˣ - 8
g(x)=5x+6
(f-g) (x) is
\( {4}^{x} - 8 \: - (5x + 6) \\ {4}^{x} - 8 - 5x - 6\)
The final answer is
\( {4}^{x} - 5x - 14\)
Hope this helps you.
Can someone help me out on this problem and show work
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200/250 = 4/5 = 0.8
250
200 | 250 x 0.8 = 200
160 | 200 x 0.8 = 160
128 | 160 x 0.8 = 128
102.4 | 128 x 0.8 = 102.4
81.92 | 102.4 x 0.8 = 81.92
HOPES THIS HELPS! PLEASE MARK ME BRAINLIEST PLS
Four Quadrant Ordered Pairs
YA
E
JN
F
K
н
SA
D
SG 74
R
X
U
o
Write the ordered pair for each given point.
9) X
11) R
10) к
12) H
13)
J
15)
Y
14)
N
16)
E
Plot the following points on the coordinate grid.
17) L (-4,-3) 19) V (+5,40)
21) M (+0,-4)
18) B (+5+1) 20) C (-4+6 22) P (+8.49)
23) S (+2,8)
24) I (+5-8)
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Answer:
3 I think it's answer.............
A coat regularly costs $175. It is on sale at a 20% markdown.
How much is the markdown?
Answers
Answer:
The 20% markdown makes it $140. That means you have saved $35.
Explanation:
I hope this helps :)
You are going to run at least 1.5 miles. If your running pace is 3.75mph; how many hours will you have to run? (show work please)
Answers
According to the given data we have the following:
running pace is 3.75 mph
going to run at least 1.5 miles
Therefore, to calculate the amount of hours will the person have to run we would make the following calculation:
amount of hours will the person have to run=1.5/3.75 mph
amount of hours will the person have to run=0.4
Therefore, the amount of hours the person will have to run will be 0.4 hours
What does the discriminant tell us if it is -10?
I need help by the end of today!
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Answer:
theres no picture that comes with it?
Which equation represents this proportional relationship
y=3x
y=1/6x
y=6x
y=1/3x
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Answer:
I think that, please check it y=3x
What's the definition of a ratio
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Answer:
the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
Step-by-step explanation:
A dentist has male and female patients that range in ages from 10
years old to 50 years old and up as shown in the table. What is the
experimental probability that the next patient will be female and in
the age range 22-39? Enter your answer in simplified fraction
form.
Answers
Answer:
56/125
Step-by-step explanation:
The perimeter of a rectangle is 48 in. If the length is twice
the width, what is the length of the rectangle?
A) 64 in.
B) 16 in.
C) 8 in.
D) 4 in.
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Answer:
\( \boxed{\sf Length \ of \ the \ rectangle = 16 \ in} \)
Given:
Perimeter of rectangle = 48 in
Length = Twice the width
To Find:
Length of the rectangle
Step-by-step explanation:
Let width of the rectangle be 'w'.
So,
Length of the rectangle = 2w
\(\sf \implies Perimeter \ of \ rectangle = 2(Length + Width \\ \\ \sf \implies 48 = 2(2w + w) \\ \\ \sf \implies 48 = 2(3w) \\ \\ \sf \implies 48 = 6w \\ \\ \sf \implies 6w = 48 \\ \\ \sf \implies \frac{ \cancel{6}w}{ \cancel{6}} = \frac{48}{6} \\ \\ \sf \implies w = \frac{48}{6} \\ \\ \sf \implies w = \frac{8 \times \cancel{6}}{ \cancel{6}} \\ \\ \sf \implies w = 8 \: in\)
Width of the rectangle (w) = 8 in
Length of the rectangle = 2w
= 2 × 8
= 16 in
Solve the inequality graphically. 4x^2-13x+7<0
Answers
Answer:
Step-by-step explanation:
\((\frac{13 - \sqrt{57} }{8} , \frac{13 + \sqrt{57} }{8} )\)
Please lmk asap!!! (thank you :))))
Answers
The following statements are true about the scaled copy
(b) The angles are whole numbers(c) Has exactly 1 right angle(d) If the scale factor is 1/5, the side lengths are multiplied by 1/5What is dilation?Dilation involves enlarging or reducing the side length of a shape to create another shape by a constant scale factor, where the scale factor does not equal one.
How to determine the true statements in the figure?From the figure, we understand that there is another figure
This figure is the scaled factor of the given figure
As a general rule, the following are the properties of a scaled copy of another figure
If the scale factor is greater than 1, the side lengths would be greater than the original figureIf the scale factor is less than 1, the side lengths would be less than the original figureThe angles of both figures are the sameThe side lengths may or may not be whole numbersUsing the above as a guide, the true statements about the scaled copy are (b), (c), and (d)
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a virus is accidentally released from a cdc lab. the virus infects everyone in a 24 mile radius from the cdc lab where it was released. if the population density for the area is 18.8 residents per square mile, to the nearest hundred, how many people were infected?
Answers
If the population density for the area is 18.8 residents per square mile, to the nearest hundred, approximately 34,000 residents would be infected.
When a virus is accidentally released from a CDC lab, and it infects everyone within a 24-mile radius from the CDC lab, then if the population density for the area is 18.8 residents per square mile, to the nearest hundred, how many people were infected.
The number of people infected within the 24-mile radius from the CDC lab is calculated as follows:
The area of a circle with a radius of 24 miles is A = πr²,
which is A = π(24²) = 1,809.56 square miles, and the population density for the area is 18.8 residents per square mile.
Therefore, the number of people infected is calculated by multiplying the area by the population density:
Residents infected = area x population density
= 1,809.56 x 18.8 ≈ 34,037.
Approximating to the nearest hundred yields 34,000.
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