Answer:
Solution: Since (x - 2)° and (2x + 5)° represent a pair of supplementary angles, then their sum must be equal to 180°. Therefore, the two supplementary angles are 57° and 123
What are some easy ways to find the value of
(2017^4−2016^4)/(2017^2+2016^2) without calculator
Answer:
4033
Step-by-step explanation:
An easy way to solve this problem is to notice the numerator, 2017^4-2016^4 resembles the special product a^2 - b^2. In this case, 2017^4 is a^2 and 2016^4 is b^2. We can set up equations to solve for a and b:
a^2 = 2017^4
a = 2017^2
b^2 = 2016^4
b = 2016^2
Now, the special product a^2 - b^2 factors to (a + b)(a - b), so we can substitute that for the numerator:
[tex]\frac{(2017^2+2016^2)(2017^2 - 2016^2)}{2017^2+2016^2}[/tex]We can notice that both the numerator and denominator contain 2017^2 + 2016^2, so we can divide by [tex]\frac{2017^2+2016^2}{2017^2+2016^2}[/tex] which is just one, and will simplify the fraction to just:
2017^2 - 2016^2
This again is just the special product a^2 - b^2, but in this case a is 2017 and b is 2016. Using this we can factor it:
(2017 + 2016)(2017 - 2016)
And, without using a calculator, this is easy to simplify:
(4033)(1)
4033
đường cầu về tiền có hướng nghiêng dốc xuống thể hiện?
REIVIAINING
29:07
LS
Charissa is eating out with friends, and it is her turn to pay the gratuity. The bill for the food is $26.50. If she plans to
tip at 20%, what should she pay if she doesn't want to leave pennies on the table?
O $0.55
Answer:
$5.30 :DDD
Step-by-step explanation:
SO WHAT YOU DO IS 26.50 X 0.20 AND YOU WILL GET 5.30 SO BAM
Given a line passes through point (5,8) and the origin, find the equation of the line.
y=
Answer:
y = 8/5x
Step-by-step explanation:
I'm assuming that they're asking for the equation in point-slope form.
The formula is y=mx+b where:
m = slope
b = y intercept
However, the y intercept is just (0,0) so b = 0
To find the slope we already have 2 given points: (0,0) and (5,8)
To find slope you do rise/run and you get 8/5
Substitute the slope & y intercept in the formula:
y = 8/5x
Let me know if I'm wrong!!
Answer:
y=8/5x
Step-by-step explanation:
Hi there!
We need to find the equation of the line that passes through (5,8) and the origin (the point (0,0)).
There are 3 ways to write the equation of the line, although the most common way is slope-intercept form, or y=mx+b where m is the slope and b is the y intercept
first, let's find m (slope)
The formula for the slope calculated from two points is [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex], where ([tex]x_{1}[/tex],[tex]y_{1}[/tex]) and ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) are points
we have two points, but let's label their values to avoid any confusion
[tex]x_{1}[/tex]=5
[tex]y_{1}[/tex]=8
[tex]x_{2}[/tex]=0
[tex]y_{2}[/tex]=0
now substitute into the formula
m=[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
m=[tex]\frac{0-8}{0-5}[/tex]
multiply
m=[tex]\frac{-8}{-5}[/tex]
divide
m=8/5
The slope of the line is 8/5
here's the equation so far
y=8/5x+b
now we need to find b
as the point will pass through both (5,8) and (0,0) we can use either one of them to solve for b
let's take (0,0) as an example
substitute 0 as x and 0 as y
0=8/5(0)+b
multiply
0=0+b
add
0=b
substitute 0 as b into the equation
Therefore the equation of the line is:
y=8/5x (the 0 is not necessary)
Hope this helps! :)
The storage center sells rectangular storage spaces that are each 200 cubic feet. Each space is 5 feet long and 5 feet wide. What is the height of each storage space?
Answer:
h=8ft
Step-by-step explanation:
[tex]v = l \times w \times h[/tex]
[tex]h = \frac{v}{l \times v} = \frac{200}{5 \times 5} = 8[/tex]
Consider the function
f(x) = 327
=
As x + -00, then f(x) approaches what?
O A O
OB) 7
C) –00
C
D) 3
Ouestion 3 (1 point)
jos3ph has 16 meters of rope he wants to cut pieces of rope that are 0.2meters long how many prices can be cut
A 3.2
B8
C32
D80
Answer:
D.80
Step-by-step explanation:
You need to divide thus
16m/0.2m=80m
Khanacademy Unit: Sequences
Which one of them is right?
Answer:
D
none
Step-by-step explanation:
-3,-14,-25,-36
a=-3
d=(-14-(-3))=-14+3=-11
[tex]g_{n}=a+(n-1)d\\g_{n}=-3+(n-1)(-11)\\g_{n}=-3-11n+11\\g_{n}=8-11n[/tex]
so none of them is correct.
g(1)=8-11(1)=-3
which is correct.
By mistakenly using π as 3, the area of a circle was found to be 147cm2. Taking π to be 22/7 the true area, in cm2, is
Answer:
pie times radius square is equal to 147
when pie is 3, radius square is 49
radius is equal to 7
actual pie r square is 22/7 times 7 times 7 is 154
Step-by-step explanation:
ans is 154
The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 6 minutes and a population standard deviation of 2 minutes.
Find the probability that it took less than one minute to find a parking space. Round answer to four decimal places.
Answer:
56
Step-by-step explanation:
Answer: 0.0062
Step-by-step explanation:
whats the probabily of drawing one blue marbel from a bag that contains 4 red marbels 6 green marbles and 1 white marbel and 3 blue marble
Answer: 3/14
Step-by-step explanation:
Number of red marbles = 4
Number of green marbles = 6
Number of white marbles = 1
Number of blue marbles = 3
Total number of marbles = 14
Therefore, the probability of drawing one blue marble will be:
= Number of blue marbles / Total number of marbles
= 3/14
Use the drawing tools to form the correct answer on the graph. Graph this function. - 2 + 8 = Reset ® Delet Undo Drawing Tools Click on a tool to begin drawing. Select Point 10 Line 8 3 6- 4 2 2 4 6 -2 8 10 -4 -10 -8 -6 -2 7071 Frmentum. All rights reserved.
Answer:
we have,AD=x cmBC=AD=x cmAB=2AD=2x cmDC=4 cm+AB=(4+2x)cmPerimeter of the trapezium, p=38 cm
The graph of [tex]f(x) = -2x + 8[/tex] has a slope of -2, and a y-intercept of 8
The function is given as:
[tex]f(x) = -2x + 8[/tex]
The above function is a linear function.
A linear function is represented as:
[tex]y =mx + c[/tex]
Where:
m represents the slope, and c represents the y-intercept.
So, by comparison;
[tex]m =-2[/tex]
[tex]c = 8[/tex]
This means that the graph of [tex]f(x) = -2x + 8[/tex] has a slope of -2, and a y-intercept of 8
See attachment for the graph of the function
Read more about linear functions at:
https://brainly.com/question/15602982
In a school there are totally 108 students in the third, fourth, and fifth grades. The third grade has 11 fewer students than the fourth grade, and the fourth grade has 16 more students than the fifth grade. How many students are there in each grade?
Answer:
there are about 36 students in each grade.
Step-by-step explanation:
divide the total amount of students by the amount of grades. 108/3 = 36
A group of high school seniors were surveyed on their interests. Of those surveyed, 16 students said they enjoy reading, and 14 said they enjoyed writing. What additional information would you need to know in order to determine how many students said they enjoy both reading and writing?
a) The number of students who enjoy reading only.
b) The number of students who enjoy writing only.
c) The number of students who don't enjoy neither reading nor writing.
d) The number of students said they enjoy either reading or writing.
Answer:
a) The number of students who enjoy reading only.
Answer:
d
Step-by-step explanation
let me know if this is right please
A recent study suggested that 81% of senior citizens take at least one prescription medication. Amelia is a nurse at a large hospital who would like to know whether the percentage is the same for senior citizen patients who go to her hospital. She randomly selects 59 senior citizens patients who were treated at the hospital and finds that 49 of them take at least one prescription medication. What are the null and alternative hypotheses for this hypothesis test?
Null hypothesis: [tex]p = 0.81[/tex]
Alternative hypothesis: [tex]p \ne 0.81[/tex]
The null is based on a recent study that 81% of the population (in this case senior citizens) takes at least one medication. The alternative hypothesis is basically the flip of the claim made in the null.
If Amelia wanted to know if the percentage was less than 81%, then the alternative would be p < 0.81
If Amelia wanted to know if the percentage was larger than 81%, then the alternative would be p > 0.81
However, she wants to know if the percentage is 81%.
If Amelia needed to know if the percentage was less than 81 percent, she could use p < 0.81 as an alternative and if the percentage was larger than 81 percent, she could use p > 0.81 as an alternative.
What are null hypotheses and alternative hypotheses?In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
A recent study suggested that 81% of senior citizens take at least one prescription medication.
Amelia is a nurse at a large hospital who would like to know whether the percentage is the same for senior citizen patients who go to her hospital.
She randomly selects 59 senior citizens patients who were treated at the hospital and finds that 49 of them take at least one prescription medication.
The null and alternative hypotheses for this hypothesis test will be
Null hypotheses
p = 0.81
Alternative hypotheses
p ≠ 81
According to a recent study, 81 percent of the population (in this case elderly folks) uses at least one drug. The alternate hypothesis is essentially the inverse of the null hypothesis.
If Amelia needed to know if the percentage was less than 81 percent, she could use p < 0.81 as an alternative.
If Amelia needed to know if the percentage was larger than 81 percent, she could use p > 0.81 as an alternative.
More about the null hypotheses and alternative hypotheses link is given below.
https://brainly.com/question/9504281
A bag contains 10 red marbles, 8
blue marbles and 2 yellow
marbles. What is the probability of
getting a blue marble?
The club will use the plurality criterion without elimination method to determine the final winner. Parker wins the contest by receiving 56 votes. However, while finalizing the votes, a member of the club discovers that Myers did not meet the original criteria to be considered for the tickets, so Myers is eliminated from the votes. Who actually will win the tickets? Is the irrelevant alternative criterion violated in this case?
Answer:
No
Explanation:
The independent irrelevant alternative criterion is not violated here. The law of irrelevant alternative criterion holds that if candidate A is liked more than candidate B then a new candidate C who is liked less than candidate A should not spoil the victory of Candidate A, so that candidate B wins.
In the example in the question, candidate Parker was the preferred candidate before the elimination of candidate Myers and so will still be the winner of the election, therefore the irrelevant alternative criterion has not been violated.
What is the slope of the line?
Answer:
3/1
Step-by-step explanation:
Answer:
[tex]-3[/tex]
Step-by-step explanation:
The slope of the line is -3 because to get to one point from another point, you would need to go down 3 and right 1 which is -3/1, and that is also just -3
Hope this helps
Thể tích của khối cầu có bán kính 3a bằng
Answer:
[tex]36\pi {a}^{3} [/tex]
Step-by-step explanation:
Volume = [tex] \frac{4}{3} \times \pi \times (r)^{3} [/tex]
[tex] \frac{4}{3} \times \pi \times {3a}^{3} [/tex]
[tex] \frac{4\pi}{3} \times {3}^{3} [/tex]
[tex] \frac{4\pi}{3} \times 27[/tex]
[tex] \frac{4\pi}{3} \times (3(9))[/tex]
[tex]4\pi \times 9[/tex]
[tex]36\pi {a}^{3} [/tex]
Hope it is helpful...Question 5(Multiple Choice Worth 1 points)
(02.04 LC)
What is the equation of a line that contains the points (2,-2) and (0, -2)?
O y = 0
Ox= -2
O y = -2
Ox=0
Which mathematical operation changes 2amd 1/3 to 2
the addition sign thus 2+1÷3=2
What is the highest common factor of 60 and 70.
Owen is driving to a concert and needs to pay for parking. There is an automatic fee of $11 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $4 for every hour he had his car in the lot. How much total money would Owen have to pay for parking if he left his car in the lot for 5 hours? How much would Owen have to pay if he left his car in the lot for t hours?
Cost for 5 hours:
Cost for t hours:
Answer:
Cost = 11 + 4*t
Step-by-step explanation:
Cost = 11 + 4*t
Part A
t = 5 hours.
Cost = 11 + 4*5
Cost = 11 + 20
Cost = 31
Part B
time = t hours.
Cost = 11 + 4*t
for 5h he would need to pay $20 ( +$11 ) $31
i dont know what T is so ya :/
length 21cm area 315cm2 find the breath
Answer:
Breadth = 15 cm
Step-by-step explanation:
Area = length x breadth
315 = 21 x breadth
[tex]\frac{315}{21} = \frac{21}{21} \times breadth[/tex] [ dividing both sides by 21 ]
[tex]15 = 1 \times breadth\\\\breadth = 15 \ cm[/tex]
___________________________________
Symbols of:[tex]\quad\quad\quad\quad\tt{A = A rea}[/tex]
[tex]\quad\quad\quad\quad\tt{ l = length} [/tex]
[tex]\quad\quad\quad\quad\tt{ b \: = breadth} [/tex]
Given that:[tex]\quad\quad\quad\quad\tt{A = 315 {cm}^{2} }[/tex]
[tex]\quad\quad\quad\quad\tt{l = 21cm}[/tex]
[tex]\quad\quad\quad\quad\tt{b = \: ? }[/tex]
Formula for breadth (b):[tex]\quad\quad\quad\quad\tt{breadth = \frac{Area}{length} }[/tex]
Solution:[tex]\quad\quad\quad\quad\tt{b = \frac{315 {cm}^{2} }{21cm} }[/tex]
[tex]\quad\quad\quad\tt{\:\:b = {15cm}}[/tex]So, the breadth (b) is:[tex]\quad\quad\quad\quad\tt \boxed{ \boxed{ \color{magenta}{b = 15cm }}}[/tex]
___________________________________
#CarryOnLearning
✍︎ C.Rose❀
The survey of a group of students showed that 50 like tea,40 liked coffee,35 liked milk,20 liked coffee as well as tea,18 liked tea as well as milk,12 liked coffee as well as milk and 7 liked all three. If every students liked at least one drink, how many students were asked this question ? Solve it by drawing a Venn- diagram.
Answer:
82
Step-by-step explanation:
Q.1 You are Nu.9 in debt. You borrowed Nu. 15 more. What is the total amount of your debt?
Answer:
total of it is Nu.24
Step-by-step explanation:
just add all up into
9 + 15 = 24
These are two similar triangles. What is the measure of X?
Answer:
18
Step-by-step explanation:
just type the thing in the calculator
The measure of x for the given similar triangle will be 18 units.
What is a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
In a triangle, the sum of all three angles is 180°
The triangle is a highly common shape that we deal with on a daily basis. For instance, the right-angle triangle is frequently used to estimate the height of towers.
By similar triangle rule ;
If two triangles are similar then the ratio of the corresponding side will be the same.
So,
x/12 = 24/(12+4)
x/12 = 1.5
x = 18 units.
Hence the measure of x will be 18 units.
For more information about triangle
https://brainly.com/question/2773823
#SPJ5
What is the area of the grey matting in this 8” by 10” picture frame if the picture to be framed is 4” x 6”? picture frame 64 square inches 56 square inches 24 square inches 80 square inches
Answer:
so if 8x10 is 80 and 4x6 is 24 then take 24 of 80 you get 56
Angles measuring 8x – 3 and 7x + 18 are supplementary. Find the measure of each angle. (5 points)
Answer:
The measures of the angles are 85 and 95 degrees each.
Step-by-step explanation:
Two angles are supplementary when they add up to 180 degrees.
Therefore, set up an equation and solve for the variable x in the first place.
(8x-3)+(7x+18)=180
8x-3+7x+18=180
8x+7x-3+18=180
15x-3+18=180
15x+15=180
15x=165
x=165/15
x=11
Angle 8x-3=8(11)-3=88-3=85.
Angle 7x+18=7(11)+18=77+18=95.
Answer:
85⁰ and 95⁰
Step-by-step explanation:
Supplementary angle add up to 180⁰
8x-3+7x+18=180
8x+7x-3+18=180
15x+15=180
15x=180-15
15x=165
15x/15=165/15
x=165/15
x=11⁰
measure of first angle=8(11⁰)-3
=88⁰-3
=85⁰
measure of second angle=7(11⁰)+18
=77⁰+18
=95⁰
The following data represent the weights in pounds of a sample of 25 police officers:
164, 148, 137, 157, 173, 156, 177, 172, 169, 165, 145, 168, 163, 162, 174, 152, 156, 168, 154, 151, 174, 146, 134, 140, and 171.
Required:
a. Determine the location and value of the lower quartile of the weights
b. Determine the location and value of the upper quartile of the weights.
c. Find the interquartile range of the weights.
Given:
The data values are:
164, 148, 137, 157, 173, 156, 177, 172, 169, 165, 145, 168, 163, 162, 174, 152, 156, 168, 154, 151, 174, 146, 134, 140, and 171.
To find;
a. Lower quartile.
b. Upper quartile.
c. Interquartile range.
Solution:
We have,
164, 148, 137, 157, 173, 156, 177, 172, 169, 165, 145, 168, 163, 162, 174, 152, 156, 168, 154, 151, 174, 146, 134, 140, 171.
Arrange the data values in ascending order.
134, 137, 140, 145, 146, 148, 151, 152, 154, 156, 156, 157, 162, 163, 164, 165, 168, 168, 169, 171, 172, 173, 174, 174, 177.
Divide the data values in two equal parts.
(134, 137, 140, 145, 146, 148, 151, 152, 154, 156, 156, 157), 162, (163, 164, 165, 168, 168, 169, 171, 172, 173, 174, 174, 177)
Divide each parentheses in two equal parts.
(134, 137, 140, 145, 146, 148), (151, 152, 154, 156, 156, 157), 162, (163, 164, 165, 168, 168, 169), (171, 172, 173, 174, 174, 177)
a. Location of lower quartile is:
[tex]Q_1=\dfrac{1}{4}(n+1)\text{th term}[/tex]
[tex]Q_1=\dfrac{1}{4}(25+1)\text{th term}[/tex]
[tex]Q_1=\dfrac{26}{4}\text{th term}[/tex]
[tex]Q_1=6.5\text{th term}[/tex]
The lower quartile of the weights is:
[tex]Q_1=\dfrac{148+151}{2}[/tex]
[tex]Q_1=\dfrac{299}{2}[/tex]
[tex]Q_1=149.5[/tex]
Therefore, the location of the lower quartile of the weights is between 6th term and the 7th term. The value of the lower quartile is 149.5.
b. Location of upper quartile is:
[tex]Q_3=\dfrac{3}{4}(n+1)\text{th term}[/tex]
[tex]Q_3=\dfrac{3}{4}(25+1)\text{th term}[/tex]
[tex]Q_3=\dfrac{3\cdot 26}{4}\text{th term}[/tex]
[tex]Q_3=19.5\text{th term}[/tex]
The upper quartile of the weights is:
[tex]Q_3=\dfrac{169+171}{2}[/tex]
[tex]Q_3=\dfrac{340}{2}[/tex]
[tex]Q_3=170[/tex]
Therefore, the location of the upper quartile of the weights is between 19th term and the 20th term. The value of the upper quartile is 170.
c. The interquartile range of the given data set is:
[tex]IQR=Q_3-Q_1[/tex]
[tex]IQR=170-149.5[/tex]
[tex]IQR=20.5[/tex]
Therefore, the interquartile range of the weights is 20.5.