Answers
(6x+7) and (8x-17)° are both vertical angles; so, the value of x is 12.
What is verticle angles?When two straight lines cross, the angles that are opposite one another are called vertical angles. (These two lines should technically be on the same plane.)
Angles vertically are congruent.
According to the given value;
Let the angles be A and B; such that:
A = 6x+7
B=8x-17
By theorem of vertical angles
A = B
So, we have:
6x+7=8x-17
Collect like terms
8x-6x=7+17
2x=24
x=12
Hence the value of x is 12.
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Related Questions
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 78.4Mbps. The complete list of 50 data speeds has a mean of x=16.69Mbps and a standard deviation of s=18.88Mbps.
a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds?
b. How many standard deviations is that [the difference found in part (a)]?
c. Convert the carrier's highest data speed to a z score.
d. If we consider data speeds that convert to z scores between 2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?
Answers
Select all of the following tables which represent y as a function of x
.
Answers
The ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}
Linear functionsA set of ordered equation represents a linear function if the domain of the coordinates are not repeated.
For instance, the ordered pairs that is a function are the coordinates that do not have any repeated y-coordinates.
From the given linear functions, the ordered pairs that represents a function y in terms of x are {(-2, -3),(1, 3),(1, 6) (9, 8}, (12, 11)) and {(-3, -5), (3, 2), (6, 5), (7, 9), (10, 16)}
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HELP ASAPPP PLEASE!!!!
Answers
Answer:
4, -8
Step-by-step explanation:
Find domain of the following functions
Answers
The domain of the function g (x) = (x² - 2 x - 15) / (x² + x - 6) is R - {-3, 2}.
We are given a function:
g (x) = (x² - 2 x - 15) / (x² + x - 6)
We need to find the domain of the function.
We know that a function becomes not defined when the denominator becomes 0.
Put x² + x - 6 = 0
x² + 3 x - 2 x - 6 = 0
x (x + 3) - 2( x + 3) = 0
( x + 3 ) ( x - 2 ) = 0
We get x = - 3 and x = 2.
So, these cannot be the values of x
So, the domain is
Domain = R - {-3, 2}
Therefore, the domain of the function g (x) = (x² - 2 x - 15) / (x² + x - 6) is R - {-3, 2}.
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If a circle has a diameter of 30 meters, which expression gives its area in
square meters?
A. 152. T
B. 30². T
OC. 30. T
OD. 15. T
Answers
The area of Circle is 15∧2*π
Hence option A is correct.
According to the question the diameter of circle is 30 meters
we know,
diameter = radius*2
by using this we can say that the radius of the circle is 30/2
that is R = 15 meters
now According to the formula
Area of Circle = R*R*π
Putting the value of R into the formula by Substitution method
Area of circle = 15*15*π
hence by this we can say that,
Area of circle = 15∧2*π
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Determine which answer in the solution set will make the equation true.
4p + 5 = 6p − 15
S: {−10, 0, 10, 20}
A: 0
B: −10
C: 20
D: 10
Answers
Answer:
d) 10
Step-by-step explanation:
Let's solve the problem,
→ 4p + 5 = 6p - 15
→ 6p - 4p = 5 + 15
→ 2p = 20
→ p = 20/2
→ [ p = 10 ]
Hence, option (d) is correct.
Write the equation of the line that is parallel to the given line and passes through the given point
Answers
The slope of parallel lines is the same, which is y = 5x - 12.
Parallel lines have the same slope in two dimensions. If we are aware of a point on the line and the equation of the supplied line, we can construct the equation of a line that is parallel to the given line.
Given: a line or point with a slope of m (x - x1), where m is the slope, and (x1,y1) is a point on the line, we obtain
y - (-1) = m (x - 2), and now the line is parallel to the one that was supplied. The slope is the SAME for parallel lines.
y + 2 = 5 (x - 2)
A line with a slope of y + 2 = 5x - 10 points...
Y = 5x – 12 – 2 – Subtract 2 from both sides.
Hence, the equation of the line that is perpendicular to the provided line and passes through has the form y = 5x – 12.
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11.4.3 Quiz: Computing Slope
Question 2 of 10
Rise is the change between the y-coordinates of any two points along a line in
the xy-plane.
A. True
B. False
Answers
Answer:
It is very very rue
A rotation is turning a point in a ____________ motion around a _____________ point.
a A clockwise B. fixed
b A. counterclockwise B. reflected
c A. circular B. fixed
d A. rectangular B. reflected
Answers
Joey walked 10 laps around the school's track. He walked a total distance of 6.74 miles. Monica walked 30 laps around the same track. What is the total distance Monica walked?
Answers
Answer:
20.22 miles
Step-by-step explanation:
If 10 laps is 6.74 then 30 laps is 3*6.74 which is 20.22
2. There are 30 students in Mrs. Woodward’s class and 1/5 of the class has their own cell phone. Of this group of students, 1/2 of them are allowed to use social media. How many of the students have a cell phone and can use social media?
Answers
Answer:
Step-by-step explanation:
Im guessing but i did 5*___= 30 which is 6 so 6 of his student have their own cell phone, and then the half is 3
. Communicate and Justify Rafael's
mom buys 6 packages of water balloons
for a party Each package has 24 water
balloons Rafael says that there are 204
water balloons in all. Do you agree with
Rafael? Why or why not?PLEASE HELP:(
Answers
I disagree with Rafael's as 204 is incorrect, the correct number of balloons is 144 balloons
How to calculate the number of balloons ?Water ballon is a type of ballon that is filled up with water. It is used by children during different outdoor and relaxation activities.
Rafael's mum buys 6 packages of water balloons for a party
Each package has 24 water balloons
Therefore the total number of balloons can be calculated by multiplying the number of packages which is 6 by the number of balloons which is 24
= 24 × 6
= 144
Hence the are 144 water balloons
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In which situation would the result be 0?
Answers
1 1/2 + (-1 1/2) or 1 1/2 - 1 1/2
Evaluating accordingly would result in an answer of 0.
Final answer: C.
Answer:
C, adding -1 1/5 to the coordinate of point J
Step-by-step explanation:
J= 1 1/5
1 1/5+(-1 1/5)
- use the distributive property
- positive x negative # = negative #
1 1/5 - 1 1/5
= 0
23. HURRICANES The day after a hurricane, the barometric pressure in a coastal town has risen to 29.7 inches of mercury, which is 2.9 inches of mercury higher than the pressure when the eye of the hurricane passed over.
a. Write an addition equation to represent the situation.
b. What was the barometric pressure when the eye passed over?
Answers
The equation representing the situation is [tex]2.9+x = 29.7[/tex] where [tex]x[/tex] represents the pressure of barometric pressure when the eye of the hurricane passed over and pressure is 26.8 inches of mercury.
As per the question, The day after a hurricane, the barometric pressure in a coastal town has risen to 29.7 inches of mercury, which is 2.9 inches of mercury higher than the pressure that occurred when the eye of the hurricane passed over.
We are supposed to form an equation representing the situation and calculate the barometric pressure when the eye passed over.
Let's assume that [tex]x[/tex] represents the pressure of barometric pressure when the eye of the hurricane passed over.
So using the concept of linear equation, we can form an equation as,
[tex]2.9+x = 29.7[/tex]
And pressure of barometric pressure when the eye of the hurricane passed over and pressure is
[tex]x=29.7-2.9\\x=26.8[/tex]
So 26.8 inches of mercury is the barometric pressure when the eye of the hurricane passed over.
Linear Equation: An equation between two variables that, when plotted on a graph, produces a straight line.Pressure: Constant physical force that something in contact with an object applies to or against it.To learn more regarding linear equation, click on the link given below:
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help fast please math!!!!!!!!
Answers
Hope this helps
Answer:
I am thinking 180
Step-by-step explanation:
The reason why I say this is because 180 over 12 equals to 15
A sample of n = 5 scores has a mean of M= 10. One new score is added to the sample, and the new mean is calculated to be M = 9. What is the value of the new score?
A) X=5 B X=55 C) X=4.5 D X=4 E)
Answers
The value of the new score in discuss according to the task content is; Choice D; X= 4.
What is the value of the new score?According to the task content, it follows that the mean of the initial 5 scores was; M = 10.
Hence, the sum of all 5 scores is; 5 × 10 = 50.
Hence, upon addition of the sixth score, x the new mean is; M = 9.
Hence, the value of the new score can be determined as follows;
(50+x)/6 = 9
50 + x = 54
x = 54-50
x = 4.
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what is the distance between the points (5, 14) and (18, 3)?
Answers
Answer:
14.87
Step-by-step explanation:
WILL GIVE BRAINLIST
Write an equation for the line, in point-slope form, that passes through the following points. (2,-1) (5,-7)
Answers
Answer: y + 1 = -6(x-2)
Step-by-step explanation:
First find the slop with m = y2 - y1 / x2 - x1
-7 - (-1)/ 5 - 2 = -6
-7 + 1 / 5 -2 = -6
m = -6
Then use the point slope form y - y1 = m(x - x1) with coordinates (2, -1)
y - (-1) = -6(x - 2)
y + 1 = -6(x-2)
What do the terms -4x and -4x combine to?
Answers
how many fix points are there for the function f (x) =x^3
Answers
The fix points of the function f (x) = x³ are,
⇒ x = 0, x = 1 and x = -1
What is fixed point of a function?
The fixed point of a function is determine by solving the function
f (x) = x.
The function is given as;
⇒ f (x) = x³
Since, The fix point of a function is determine by solving the function
f (x) = x
Hence, we can solve as;
f (x) = x
x³ = x
x³ - x = 0
x ( x² - 1 ) = 0
x ( x² - 1² ) = 0
x ( x - 1 ) ( x + 1 ) = 0
Equate each term to zero,
x = 0
x - 1 = 0 ⇒ x = 1
x + 1 = 0 ⇒ x = -1
Therefore, The fix points of the function f (x) = x³ are,
⇒ x = 0, x = 1 and x = -1
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can i have all these answers pls
Answers
10. 2.7 * 10^7 degrees fahrenheit
11. 53000
12. 0.00000992
13. 0.041
14. 272600000
15. 0.84
16. 1450
17. 0.0009392
18. 602
19. 3752800
20. 102400000 (I'm assuming the question is asking for standard form here)
21. >
22. <
23. >
24. <
Explanation: Move the decimal point the same amount of times as what the exponent says. If the exponent is positive, move it to the right. If the exponent is negative, move it to the left.
Two friends are playing with water balloons. They each start at the bucket of balloons and walk in opposite directions before tossing their balloons at each other. Joy walked 14 steps
forward, and Shaunte walked 5 steps backwards. Which expression correctly represents the distance between the friends?
O 14+1-51 19 steps
O 14+5=19 steps
O-141 +1-51 = 19 steps
O-141+5=19 steps
Answers
Answer:
B
Step-by-step explanation:
because is joy walked 14 steps and her friend walks 5 steps the answer is 19 steps 14+5=19
Describe the similarities and differences between finding the slope of a linear equation from a graph that has x and y scales that are 1:1, and from a graph that has x and y scales that are not 1:1 (say your x and y scales are 2, 4, 6).
Answers
Using linear function concepts, we have that:
For a graph in a 1:1 scale, we can look at two consecutive values, y when x = a and y* when x = a + 1, and subtract y* by y. For a graph in another scale, we also do the same thing, but since the scale is not 1:1, we have to divide the subtraction of y* by y by the scale.What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Given two points in a graph, the slope is given by change in y divided by change in x, hence:
For a graph in a 1:1 scale, we can look at two consecutive values, y when x = a and y* when x = a + 1, and subtract y* by y. For a graph in another scale, we also do the same thing, but since the scale is not 1:1, we have to divide the subtraction of y* by y by the scale.More can be learned about linear function concepts at https://brainly.com/question/24808124
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Question
Ray invested $1700 in an account with continuously compounded interest at a rate of 2.8%. After 3 years, how much
money did he have in the account? Round your answer to the nearest dollar.
Answers
The amount of money in Ray account after investing for three years was $1846.84
What is an equation?An equation is used to show the relationship between numbers and variables. An equation can be linear, quadratic depending on the degree.
Let y represent the total money after x years, hence:
y = 1700(1.028)ˣ
After 3 years:
y = 1700(1.028)³ = $1846.84
The amount of money in Ray account after investing for three years was $1846.84
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Answer:
$1849
Step-by-step explanation:
Use the formula for calculating compound interest A=P0ert where r=0.028, P0=1700, and t=3. Substitute the values into the formula and simplify.
A=1700e0.028⋅3
A=1700e0.084
A=1700(1.087...)
A=1848.97
To the nearest dollar, the amount in the account after three years is A≈1849.
Please help me with this. I will give an Brainly and bunch of extra points.
Answers
Eishhhh. The question is hard.
Answer:
I would say door one
Step-by-step explanation: I say this because he has a 50 % chance that the lady is behind door one, door one also says that the lady is supposedly back there while the tiger is behind the other door.While the other door says that there is a 50 % chance that there is a lion in the room or there could not be. That makes me think that door one has the lady behind it.
I need to create a linear equation that must equal -8 and have variables on both sides and it must require distribution to a linear binomial to be sober it must require combing like terms on one side of the equation to be solved please help I need it written out showing solving steps thank you.
Answers
Some of the examples of linear equations are 2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3.
Answer:
wow u can really dance
Step-by-step explanation:
Find the value of m: −3(m − 4) = −6
m = −6
m = −2
m = 2
m = 6
Answers
Answer:
m=6
Step-by-step explanation:
-3m+12=-6
3m=12+6
3m=18
m=6
m = 6.
Step-by-step explanation:
[tex]{ \green{ \tt{ - 3}}}({ \green{ \tt{m - 4}}}) = { \green{ \tt{ - 6}}}[/tex]
[tex]{ \green{ \tt{ - 3m + 12}}} = { \green{ \tt{ - 6}}}[/tex]
[tex]{ \green{ \tt{3m}}} = { \green{ \tt{12}}} \: + \: { \green{ \tt{6}}}[/tex]
[tex]{ \green{ \tt{3m}}} = { \green{ \tt{18}}}[/tex]
[tex]{ \green{ \tt{m}}} = \frac{ \green{ \tt{18}}}{ \green{ \tt{3}}} [/tex]
[tex]{ \green{ \tt{m}}} = { \red{ \mathfrak{6}}}[/tex]
Rewrite 42= 6x7 using commutative law of multiplication
Answers
we get 6 = 6 , in 42= 6x7 using commutative law of multiplication.
What do associative law and commutative law mean?
The order of some mathematical operations is addressed by the commutative property. We can write the binary operation as a + b = b + a. The associative attribute, on the other hand, deals with the grouping of numbers in an operation. For instance, we could write it as (a + b) + (a + b + c).This law states that no matter how the numbers are arranged, the outcome of multiplying two integers remains the same. So A.B = B.A. Examples include: 1 + 2 + 1 + 2 + 4 + 5 + 4 + 20.using the Commutative Law of Multiplication.
42 = 6 x 7
42 / 7 = 6
6 = 6
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Question 1: Factor −6x^2 + 18x.
Question 2: Rewrite 6x + 36 using a common factor.
Answers
[tex] \phi = - 6x {}^{2} + 18x \\ \phi = - 6x(x - 3)[/tex]
Question 2:[tex] \psi = 6x + 36 \\ \psi = 6(x + 6)[/tex]
Answer:
Step-by-step explanation:
Answer:
Question 1 = -6x(x-3)
Question 2 = 6(x+6)
Step-by-step explanation:
Hope this helps
. Verify the concepts you havelearned about the Law of Acceleration in doing some problem – solving exercises.1.The rising concern among athletic trainers regarding concussions among football playershas prompted numerous studies of the effectiveness of protective head gears.
1.One study suggests that concussions may result from impacts rated at 740 m/s2. If a player’s head mass (with helmet) is 6 kg and considered to be a free body, then what net force would be required to produce an acceleration of 740 m/s2?2.Captain John Stapp of the U.S. Air Force tested the human limits of acceleration by riding on a rocket sled of his own design.
2.His rocket sled, known as the Gee Whiz, had a mass of about 82 kg. What net force would be required to accelerate Gee Whiz and 82 kg Stapp at 450 m/s2 (the highest acceleration tested by Stapp)?3.Space Shuttle Max is one of the extreme rides in Enchanted Kingdom.
3.The first of its kindin the country, the roller coaster ride inverts its riders six times. If during one of its operations, a 53 kg boy experiences a net force of 1800 N at the bottom of its roller coaster loop, how fast would he be accelerating at this location
Answers
Answer: 1. f = 444N
2. f = 36900N
3. a=34 m/s2
Step-by-step explanation:
f=net force. a=acceleration. m=mass.
f = m*a
1. f = m*a
f = 6 * 740
f = 444N
2. f = 82 * 450
f = 36900N
3. f = m*a
1800=53*a
a=1800/53
a=34 m/s2
Answer:
1) 4440 N
2) 36900 N
3) 34.0 m/s² (nearest tenth)
Step-by-step explanation:
Newton's Second Law of Motion
The overall resultant force acting on a body is equal to the mass of the body multiplied by the body's acceleration.
[tex]\large\boxed{F_{net}=ma}[/tex]
F = force measured in N (Newtons).m = mass measured in kg (kilograms).a = acceleration measured in m/s² (meters per second squared).Question 1Given:
m = 6 kga = 740 m/s²Substitute the given values into the formula:
[tex]\begin{aligned}F_{net} & =ma\\\implies F_{net} & =6 \cdot 740\\& =4440\:\sf N\end{aligned}[/tex]
Question 2Given:
m = 82 kga = 450 m/s²Substitute the given values into the formula:
[tex]\begin{aligned}F_{net} & =ma\\\implies F_{net} & =82 \cdot 450\\& =36900\:\sf N\end{aligned}[/tex]
Question 3Given:
m = 53 kgF = 1800 NSubstitute the given values into the formula:
[tex]\begin{aligned}F_{net} & =ma\\\implies 1800& =53a\\a & = \dfrac{1800}{53}\\ a& =33.96226415...\\ & = 34.0\:\sf m/s^2 \:\:(nearest\:tenth)\end{aligned}[/tex]