Answer:
37°
Step-by-step explanation:
32+2x-16=90
2x+16=90
2x=90-16
2x=74
x=37
If m rst= 12x-1, m rsu = 9x-15 and m ust = 53 find each measure
Answer:
x = 13
m<RST = 155°
m<RSU = 102°
Step-by-step explanation:
m<RST = (12x - 1)°
m<RSU = (9x - 15)°
m<UST = 53°
m<UST + m<RSU = m<RST (angle addition postulate)
53 + (9x - 15) = (12x - 1) (substitution)
Solve for x
53 + 9x - 15 = 12x - 1
53 - 15 + 9x = 12x - 1
38 + 9x = 12x - 1
Subtract 12x from each side
38 + 9x - 12x = 12x - 1 - 12x
38 - 3x = - 1
Subtract 38 from each side
38 - 3x - 38 = -1 - 38
-3x = -39
Divide both sides by -3
x = 13
m<RST = (12x - 1)°
Plug in the value of x
m<RST = 12(13) - 1 = 156 - 1 = 155°
m<RSU = (9x - 15)°
m<RSU = 9(13)x - 15 = 117 - 15 = 102°
The measures of each angle are:
m<RSU = 102°
m<RST = 155°
m<UST = 53°
The given parameters are:
m<RST = (12x - 1)°
m<RSU = (9x - 15)°
m<UST = 53°
Note that:
m<RST = m<RSU + m<UST
Substitute m<RST = 12x - 1, m<RSU = 9x - 15, and m<UST = 53 into the equation above in order to solve for x
m<RST = m<RSU + m<UST
12x - 1 = 9x - 15 + 53
12x - 9x = -15 + 53 + 1
3x = 39
x = 39/3
x = 13
To find the measure of <RST, substitute x = 3 into m<RST = 12x - 1
m<RST = 12(13) - 1
m<RST = 155°
To find the measure of <RSU, substitute x = 3 into m<RSU = 9x - 15
m<RSU = 9(13) - 15
m<RSU = 102°
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if f(x)=4x^2-6
find f(3)
Answer:
[tex]f(3)=30[/tex]
Step-by-step explanation:
So we have the function:
[tex]f(x)=4x^2-6[/tex]
To find f(3), substitute 3 for x. Thus:
[tex]f(3)=4(3)^2-6[/tex]
Square:
[tex]f(3)=4(9)-6[/tex]
Multiply:
[tex]f(3)=36-6[/tex]
Subtract:
[tex]f(3)=30[/tex]
And we're done!
solve for x 5x-2=3x+4
Answer:
3
Step-by-step explanation:
Simplifying
5x + -2 = 3x + 4
Reorder the terms:
-2 + 5x = 3x + 4
Reorder the terms:
-2 + 5x = 4 + 3x
Solving
-2 + 5x = 4 + 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 = 4 + 3x + -3x
Combine like terms: 5x + -3x = 2x
-2 + 2x = 4 + 3x + -3x
Combine like terms: 3x + -3x = 0
-2 + 2x = 4 + 0
-2 + 2x = 4
Add '2' to each side of the equation.
-2 + 2 + 2x = 4 + 2
Combine like terms: -2 + 2 = 0
0 + 2x = 4 + 2
2x = 4 + 2
Combine like terms: 4 + 2 = 6
2x = 6
Divide each side by '2'.
x = 3
Simplifying
x = 3
Find a rational number that is between 9.5 and 9.7. Explain why it is rational
A rational number means it doesn't have a decimal that repeats. For example, 2/3 or 0.66....
There is only one number between 9.5 and 9.7. This number is 9.6.
The decimal doesn't repeat or go on forever so its rational.
Answer: 9.6
Best of Luck!
Answer:
9.6
Step-by-step explanation:
decimals are rational so ye
CAN SOMEONE PLEASE HELP ME ASAP PLEASEEEE!!!
Answer:
x = 4
Step-by-step explanation:
∆ABC ~ ∆DEF
--> AB/DE = BC/EF
--> x / 3 = 8 / 6
--> x / 3 = 4 / 3
--> x = 4
Including a 7% sales tax, an inn charges $147.66 per night. Find the inn’s nightly cost before tax is added.
Question 3 (25 points)
A church group interested in promoting volunteerism in a community chooses an SRS of 200 community addresses and
sends members to visit
these addresses during weekday working hours to inquire about the residents attitudes toward volunteer work. Sixty percent of all
respondents say that they would be willing
to donate at least an hour a week to some volunteer organization. Bias is present in this sample
design. Identify the type of bias involved and state whether you think the
sample percent obtained is higher or lower than the true population
percent.
Answer:
if the polling were done during working hours, those who work outside the home would not be included-undercoverage of the groupe. the 60% is probably higher than the true population proportion. face-to-face visits might make those at home likely to say they would volunteer.
Step-by-step explanation:
Solve: 3(5x - 8) = 6x + 39
Steps to solve:
3(5x - 8) = 6x + 39
~Distribute left side
15x - 24 = 6x + 39
~Add 24 to both sides
15x = 6x + 63
~Subtract 6x to both sides
9x = 63
~Divide 9 to both sides
x = 7
Best of Luck!
100 POINTSSSS!! I AM IN DESPERATE NEED OF HELP! so like help? i am struggling with the part where i make an equation for the blocks. i have a few more problems like this to do, so please give me a full explanation of how you solved it. thank you!!
Numbers 1 and 2 are correct.
Question 3:
We can see in each figure, the number of rows matches the figure amount. For example, figure 1 has 1 row, figure 2 has 2 rows, figure 3 has 3 rows, etc. Another thing we can see is that one block gets added to each column in every figure. If we count starting from 3 and keep adding 1 for each column, we get 22 blocks for one column. In figure 20, there will be 20 rows and 22 columns. We also have to keep in mind that they add 2 extra blocks at the top and bottom that stick out like the ones shown. In total, figure 20 will consist of 442 blocks.
Question 4:
[(2 + f) * (f)] + 2 = b
(2 + f) represents the number of blocks in each column.
(f) represents the number of blocks in each row.
2 represents the two extra blocks in each figure.
Note that f in this equation equals the number of the figure. For example, figure 3 is f = 3
We can test our equation with figure three.
[(2 + f) * (f)] + 2 = b
We have figure three so f = 3. Substitute and solve.
[(2 + 3) * (3)] + 2 = b
[5 * 3] + 2 = b
15 + 2 = b
17 = b
In the example, the number of blocks is 17. Therefore, this equation works for any figure.
Best of Luck!
Answer:
We will see that the number of rows in each figure corresponds to the figure amount. Figure 1 has one row, figure 2 has two rows, figure 3 has three rows, and so on. Another thing we can see is that in each diagram, one block is attached to each column. We get 22 blocks for one column if we count from 3 and keep adding 1 for each column. There will be 20 rows and 22 columns in Figure 20. We must also remember that they add two additional blocks at the top and bottom that protrude like the ones shown. Figure 20 will have a limit of 442 blocks.
4th question:
[(2 + f) * (f)] [(2 + f) * (f)] [(2 + f) 2 + 1 = b
The number of blocks in each column is represented by (2 + f).
The number of blocks in each row is represented by (f).
We will see that the number of rows in each figure corresponds to the figure amount. Figure 1 has one row, figure 2 has two rows, figure 3 has three rows, and so on. Another thing we can see is that in each diagram, one block is attached to each column. We get 22 blocks for one column if we count from 3 and keep adding 1 for each column. There will be 20 rows and 22 columns in Figure 20. We must also remember that they add two additional blocks at the top and bottom that protrude like the ones shown. Figure 20 will have a limit of 442 blocks.
4th question:
[(2 + f) * (f)] [(2 + f) * (f)] [(2 + f) 2 + 1 = b
The number of blocks in each column is represented by (2 + f).
The number of blocks in each row is represented by (f).
I need Math Help!!! Look at the picture for the question!
Answer:
b) in the vertex.
Step-by-step explanation:
In the vertex. If the parabola opens up or down the axis of symmetry is x = a where a is the x coordinate of the vertex.
If it opens to the left or right the axis is y = a where a is the y-coordinate if the vertex.
David bought a baseball card for $40. the value of the card increased by 25%. what is the new value of the card?
Answer:
50$
Step-by-step explanation:
25 percent more means 1 and 1/4 of original price
aka 5/4
(5/4)(40)
50
OR
1/4 of 40 is 10
10 plus 40 is 50
Answer:
$50Step-by-step explanation:
[tex]Original \:price =\$40\\Percentage\:increase =25\%\\\\\frac{25}{100} \times 40\\\\= \frac{1000}{100} \\\\= \$10\\\\New\:price = \$40 +\$10\\= \$50[/tex]
The average rainfall amounts for two of the world's wettest places are given. Determine which location has the greater average rainfall and by how many inches. Round
to the nearest inch
Kukui (Hawaii): 9,293 millimeters and Melchior (Antartic Peninsula): 47 inches
Click the icon to view a table of English and Metric Equivalents.
Answer: Kukui (Hawaii) has the greater average rainfall than Melchior (Antarctic Peninsula) by 8,099.2 millimetres.
Step-by-step explanation:
Given: The average rainfall amounts for two of the world's wettest places:
Kukui (Hawaii): 9,293 millimetres
Melchior (Antarctic Peninsula): 47 inches
Since 1 inch = 25.4 millimetres
∴ 47 inches = 47 × 25.4 millimetres
= 1193.8 millimetres
i.e. Melchior (Antarctic Peninsula) has 1193.8 millimetres of average rainfall.
Clearly, 9,293 millimetres> 1193.8 millimetres
So, Kukui (Hawaii) has the greater average rainfall .
Difference = 9293 - 1193.8 = 8099.2 millimetres
So Kukui (Hawaii) has the greater average rainfall than Melchior (Antarctic Peninsula) by 8,099.2 millimetres.
Which of the following is not true about the process of statistics?
A. Data are typically collected from a sample because it is too difficult and expensive to collect data from an entire population
B. The first step in the process of statistics is to collect the data.
C. When the results from a sample are extended to the population, it is called inference.
D. If data are not collected properly, the conclusions that are drawn will be meaningless
Answer:
Option B.
Step-by-step explanation:
From the given statements the true about the process of statistics. are:
1. Data are typically collected from a sample because it is too difficult and expensive to collect data from an entire population.
2. When the results from a sample are extended to the population, it is called inference.
3. If data are not collected properly, the conclusions that are drawn will be meaningless.
But, the first step in the process of statistics is to collect the data. This is not true about the process of statistics because the first step in the process of statistics is identify the research objective.
Therefore, the correct option is B.
The statement about the process of statistics that is not correct is: B. The first step in the process of statistics is to collect the data.
The Process of StatisticsThe first step in a statistical process is to first determine the research objective.Next is to draw a sample that represents the population under study from which to collect data from.The data collected from the sample is then analyzed and interpreted in order to make inference about the population that was studied.The meaningfulness and soundness of the conclusions drawn depends on how accurate the data collected are.Therefore, the statement about the process of statistics that is not correct is: B. The first step in the process of statistics is to collect the data.
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If an exterior angle of a regular polygon is 21.2º, how many sides does the polygon have?
Answer:
option 4. 17
Step-by-step explanation:
sum of angles = exterior angle x n
360° = 21.2° n
n = 360 / 21.2
n = 17
Number of sides of the regular polygon with exterior angle 21.2° is equals to 17 sides.
What is polygon?" Polygon is defined as the two dimensional geometric shape which has n number of finite sides."
Formula used
360° = (Exterior angle of polygon ) × ( number of sides of polygon)
According to the question,
Given,
Exterior angle of a regular polygon = 21.2º
'n' represents the number of sides
Substitute the value in the formula to get number of sides,
[tex]360\°= (21.2\°) (n)[/tex]
⇒ [tex]n = \frac{360\°}{21.2\°}[/tex]
⇒ [tex]n= 16.98[/tex]
⇒ n≈ 17 sides
Hence, number of sides of the regular polygon with exterior angle 21.2° is equals to 17 sides.
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There are 12 inches in 1 foot and 5,280 feet in 1 mile. Elena ran 2 1/2 miles. How many inches is that? Please help!
Answer:
158,400
Step-by-step explanation:
Solve for q: q/10 = 4 q=?
Answer:
40
Step-by-step explanation:
[tex] \frac{q}{10} = 4[/tex]
..
Convert element into fraction :4=4/1
[tex] \frac{q}{10} = \frac{4}{1} [/tex]
cross multiply
[tex]q = 10 \times 4 \\ q = 40[/tex]
Answer:
q=40
Step-by-step explanation:
[tex]\frac{q}{10}=4\\10(\frac{q}{10})=4(10)\\q=40[/tex]
For a regular 15-sided polygon, what is the degree of rotation?
Answer:
360/15 = 24
Step-by-step explanation:
Algebra 2: Finding Values of Product and Quotient Functions
Answer:
(rs)(4) = 8x
(r/s)(3) = 3
Step-by-step explanation:
(2√x (√x)) (4)
(2x) (4)
8x
(√x / √x) (3)
1 (3)
3
Answer:
The answer to the first one is 8.
The answer to the second one is 2.
Step-by-step explanation:
Just got it right on edge.
Can someone plz help me understand this
Answer:
17
Step-by-step explanation:
c=15×15+8×8
c=225+64
c=289=17
Answer:
The length of the guy wire is 17ft.
Step-by-step explanation:
[tex]c = \sqrt{a^{2}+b^{2} }[/tex]
a = 15ft
b = 8ft
c = [tex]\sqrt{15^{2} + 8^{2} }[/tex]
c = [tex]\sqrt{225 + 64}[/tex]
c = [tex]\sqrt{289}[/tex]
c = 17
The length of the guy wire is 17ft.
NEED ANSWER NOW!!! Steven has one bag that contains three table tennis balls numbered 1, 2, and 3. He also has a second bag that contains four table tennis balls lettered A, B, C, and D. Suppose Steven combined the table tennis balls into one large bag instead of two individual bags. What would be the P(1, B) without replacement?
Answer:
P(1, B) = 1/12
Step-by-step explanation:
if given one group of 3 objects, in this case tennis balls labeled 1, 2, and 3. And another group of 4 objects, labeled a, b, c, and d. the combined probability would be 1/3 * 1/4 = 1/12. This is because there is a 1/3 chance of picking one particular object from a set of 3 total objects, and a 1/4 chance of picking one particular object from a set of 4 total objects.
The probability of drawing 1 numbered ball in the first attempt and then drawing B numbered ball in the second attempt is 1/42.
What is conditional probability ?Conditional probability is when occurrence of an event depends upon the occurrence of another event.In case of without replacement one event is dependent on another.
According to the given question
Steven has one bag that contains three table tennis balls numbered 1, 2, and 3. He also has a second bag that contains four table tennis balls lettered A, B, C, and D and Steven combined the table tennis balls into one large bag instead of two individual bags.
Here we don't need to find the probabilities individual bags.
So after he combined them into one large bag there are 7 balls in that large bag namely 1, 2, 3, A, B, C, D
P(1) = 1/7
with without replacement there is now 6 balls in the large bag
∴ p(B) = 1/6
So the probability of drawing 1 numbered ball in the first attempt and then B numbered ball in the second attempt is p(1)p(B)
∴P(1,B) is
= (1/7)×(1/6)
= 1/42.
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What is the factor to dilate triangle ABC to get A'B'C'? (Write your answer below. Show your work for partial credit.)
Answer:
The Factor is 1.5
Step-by-step explanation:
5.1(which is B'C') divided by 3.4(which is BC) = 1.5
3.6(A'C') divided by divided by 2.4(AC) = 1.5
2.7(A'B') divided by 1.8(AB) = 1.5
Henceforth the factor is 1.5
what is a constraint in algebra?
Answer:
The constant in an algebraic expression is the number part of the expression for example.. IN 2x 2 is the constant it doesn't change and x is variable it may vary
A survey of 100 people found that 35 people exercise in the morning, 45 people exercise in the afternoon, and 20 people exercise at night. Tara claims that 35:55, 45:80, and 20:65 are possible ratios from this data. Jim claims that 35:100, 45:100, and 20:100 are possible ratios from this data. Who is correct? Explain. explain it short cus im not typing all that.
Answer:
geometric progression
Step-by-step explanation:
RICHIE! ANSWER MY COMMENTS!
The number of dogs compared to the number of cats owned by the residents of an apartment complex is represented by the model below
Complete the ratio that compares the number of dogs to the number of cats.
(There is 2 dogs and 4 cats) what is the ratio?
Answer:
2:4
Step-by-step explanation:
Yuki walked and ran for 3 1/4 hours at an average of 4 miles per hour. How far did she go?
Answer:
13 miles
Step-by-step explanation:
3 1/4 can be changed to 3.25
Then multiply 3.25 (the time) and 4 (the distance per hour) to get 13.
Answer:
She walked 7 miles. If it takes her one hour to walk 4 mile, then it will take 45 hours to walk 3 miles.
Step-by-step explanation:
Plz Mark me as brainliest
HELPP PLEASEE pleaseee ❗️❗️❗️
Answer:
I'm pretty sure its C.
Step-by-step explanation:
( -6, 4 ), ( -6, -2 ) the x stays the same but the y goes down by 6 points.
( 3, 4 ) if you subtract 6 from 4 you get -2 making the next coordinate ( 3, -2 ) or C.
Hopefully this isn't too late! :)
х
f(x)
Use the table of values to find the function's values.
If x = 0, then f(0) =
If f(x) = 27, then x =
33
-3 -2
17
0
-15
N
-7
3
27
Answer:
If x = 0, then f(0) = -15
If f(x) = 27, then x = 3
A normal distribution has a mean of 186.4 and a standard deviation of 48.9. What percent of data will be greater than 235.3?
Answer:
15.9% of the data will be greater than 235.3.
Step-by-step explanation:
Use a calculator with statistical functions. In this case you'll need the cumulative normal distribution: normcdf(.
Evaluate the following: normcdf(235.3, 10000,186.4, 48.9):
We get: 0.159, or 15.9%
15.9% of the data will be greater than 235.3.
The range of value X > 284.2 of data will be greater than 235.3.
What is a z-score?A Z-Score is a statistical measurement of a score's relationship to the mean in a group of scores.
We know that the upper 2.5% of data would be 97.5% of data.
We will use a z-score formula to solve our given problem.
[tex]\rm z=\dfrac{x-\mu}{\sigma}[/tex]
Where; z = z-score,
x = Random sample score,
[tex]\mu[/tex] = Mean,
[tex]\sigma[/tex] = Standard deviation.
We will use a normal distribution table to find a z-score corresponding to 97.5% area or 0.975.
We can see from the normal distribution table that the z-score corresponding to the area of 0.975 is 1.96.
[tex]\rm 1.96=\dfrac{x-186.4}{48.9}\\\\1.96 \times 48.9 =x-186.4\\\\x = 186.4 +95.84\\\\x=282.84[/tex]
Hence, the range of value X > 284.2 of data will be greater than 235.3.
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(x^4)^2 please answer I need an A
Answer:
x^8
Step-by-step explanation:
Answer:
[tex]x^8[/tex]
Step-by-step explanation:
[tex](x^4)^2[/tex]
To solve, we will have to multiply [tex](x^4)*(x^4)[/tex] .
[tex](x^4)*(x^4)[/tex]
Now we have to multiply x.
[tex](x*x*x*x)*(x*x*x*x)[/tex]
Let's remove the parenthesis and multiply x all together.
[tex]x*x*x*x*x*x*x*x[/tex]
We multiplied x 8 times so your answer is
[tex]x^8[/tex]
Hope this helps!
(x + 1)/(3x + 9) * (x ^ 2 + 5x + 6)/(x - 2) Simplify your answer as much as possible .
Answer:
(x^3 + 6x^2 + 11x + 6)/(3(x-2)(x+3))
Step-by-step explanation:
(x + 1)/(3x + 9) * (x ^ 2 + 5x + 6)/(x - 2)
(x^3 +5x^2 +6x +x^2 + 5x + 6)/(3x^2 - 6x + 9x -18)
(x^3 + 6x^2 + 11x + 6)/(3x^2 + 3x - 18)
(x^3 + 6x^2 + 11x + 6)/(3(x-2)(x+3))