Given:
an intersection is given as
(-13, 7] ∩ [7, 12)
Find:
we have to find the elements of intersection.
Explanation:
we know the intersection of two sets contains the common elements of both sets.
Therefore, The intersection (-13, 7] ∩ [7, 12) = {7}
Because, only 7 is the common element of (-13, 7] and [7, 12).
Therefore, (-13, 7] ∩ [7, 12) = { 7 }
Need Help with these (Giving brainiest if you can solve these)
Answer: try using sine for this equasion
Step-by-step explanation:
What the answer to this question I can’t figure it out
Given:
Q (0, 1)
R (2, 7)
Let's determine the equation of the line in Slope-Intercept Form.
Step 1: Let's determine the slope (m).
\(\text{ Slope = m = }\frac{y_2-y_1}{x_2-x_1}\)\(=\text{ }\frac{\text{ 7 - 1}}{\text{ 2 - 0}}\text{ = }\frac{\text{ 6}}{\text{ 2}}\)\(\text{ Slope = 3}\)Step 2: Let's determine the y-intercept (b). Substitue m = 3 and x, y = 0,1 in y = mx + b.
\(\text{ y = mx + b}\)\(\text{ 1 = 3(0) + b}\)\(\text{ 1 = 0 + b}\)\(\text{ b = 1}\)Step 3: Let's now complete the equation. Substitute m = 3 and b = 1 in y = mx + b.
\(\text{ y = mx + b}\)\(\text{ y = (3)x + (1)}\)\(\text{ y = 3x + 1 }\rightarrow\text{ y - 1 = 3x}\)Therefore, the answer is letter B: y - 1 = 3x
Anyone got me with them quick maths?
Answer:
Its B
Step-by-step explanation:
when you add them you get 180⁰
good luck :)
5. Match the steps for constructing a congruent line segment to their pictures.
▼
▼
1. Step 2: Draw a second line
segment that is longer than the
first.
2. Step 4: That intersection is the
final endpoint of the copied
segment.
3. Step 1: Put the point of the
compass on one endpoint of the
segment to be copied. Change the
compass setting so that the
pencil end is just touching the
other endpoint, make a small arc
to see this.
4. Step 3: Without changing the
compass setting, put the
compass point on the new
endpoint on a new line. Make a
small arc that intersects the line.
We can see here that matching the steps for constructing a congruent line segment to their pictures, we have:
Step 1 - Picture a
Step 2 - Picture b
Step 3 - Picture c
Step 4 - Picture c.
What is a line segment?Any portion of a line with two ends and a set length is referred to as a line segment. It differs from a line that has neither a beginning nor an end and can be stretched in both directions.
The endpoints of a line segment can be used to define it. The portion of the line that begins at point A and finishes at point B, for instance, is known as the line segment AB.
A ruler or measuring tape can be used to determine the length of a line segment. The distance between two line segments' endpoints is the segment's length.
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Answer:
Step-by-step explanation:
E Gabby had dinner at her favorite restaurant and the cost of her meal is $45.00. She wants to leave a 20% percent tip. What is her total bill including tip? A 90 % B 85 %
Answer: $54.00
Step-by-step explanation:
$45.00 x .20 = $9.00
$45.00 + $9.00 = $54.00
A car travels along a straight road for 30 seconds starting at time t = 0. Its acceleration in ft/sec2 is given by the linear graph below for the time interval [0, 30]. At t = 0, the velocity of the car is 0 and its position is 10.
What is the velocity of the car when t = 6? Please show your work and include units in your answer.
The velocity experimented by the car is equal to - 1 feet per second.
What is the velocity of a car at a given time?
Herein we have the graph of the position of the car (y), in feet, versus time (t), in seconds. The graph shows a linear equation, that is, the position is described by a polynomial of the form:
y = m · t + b
Then, the functions for the velocity and acceleration are shown below:
Velocity
dy / dt = m
The slope represents the velocity of the car.
Acceleration
d²y / dt² = 0
Then, the velocity of the car is found by means of the secant line formula:
dy / dt = (0 ft - 10 ft) / (10 s - 0 s)
dy / dt = - 1 ft / s
The velocity of the car is - 1 feet per second.
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Find value of X and then Y. Not drawn to scale
Answer:
x=66 and y=63
Step-by-step explanation:
The middle triangle is isosceles
57+57+x=180
114+x=180
x=66
Left triangle is equilateral (all angles =60)
60+57+?=180
117+?=180
?=63
Right triangle is isosceles
?=y
y=63
Felipe uploaded a funny viedo of his dog. The relationship between the elapsed time in days, d , since the viedo was first uploaded and the total number of views, v , that the viedo received is modeled by v=4^1.25d . Find the number of days it took Felipe's viedo to get 1024 views.
The number of days took to get the video of Felipe 1024 views is 4.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
The relationship between the elapsed time in days, d, since the video was uploaded and the total number of views, v, that the video received is modeled by the equation,
v = 4^(1.25d)
We have to find d when v = 1024
1024 = 4^(1.25d)
We have the rule for exponents aᵇⁿ = (aᵇ)ⁿ
1024 = \((4^{1.25} )^d\)
1024 = (5.6569)^d
Taking logarithms on both sides,
㏒ (1024) = ㏒ [(5.6569)^d]
We have the exponent rule for logarithm, ㏒ (aᵇ) = b ㏒ (a)
㏒ (1024) = d ㏒ (5.6569)
d = ㏒ (1024) / ㏒ (5.6569)
d = 4
Hence it took 4 days to for Felipe's video to get 1024 views.
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elena needs to cut a square piece of wood with an area of 81 square inches. how long should the sides of the square be?
8.5 in
40.5 in
9 in
9.5 in
If the area between the diagonal line of absolute equality and the Lorenz curve is greater for China than for United States, we can conclude that theA) distribution of income in China is closer to being equal than in the United States
B) distribution of the income in China is as equal as in United States
C) distribution of income in China is less equal than in the US*
D)relative distributions of income in the two countries are the same
If the area between the diagonal line of absolute equality and the Lorenz curve is greater for China than for United States, we can say that a) Distribution of income in China is less equal than in the United states.
Lorenz Curve:
In economics, the Lorentz curve is a graphical representation of the distribution of income or wealth. Developed by Max O. Lorenz in 1905 to show inequality in the distribution of wealth.
This curve plots the percentage of total income or wealth received by the bottom x% of the population, which is not always true for a finite population. Often used to describe income distribution, it shows what percentage (y%) of total income the bottom x% of households have. The X-axis shows household percentage and the Y-axis shows income percentage. It can also be used to represent the distribution of wealth. Used in this way, many economists see it as a measure of social inequality.
Distribution of Income:
Income distribution shows how a country's total GDP is distributed among its population. Economic theory and policy have long made income and its distribution a central concern. Unequal distribution of income causes economic inequality, which is a concern in almost every country in the world.
Classical economists such as Adam Smith (1723-1790), Thomas Malthus (1766-1834), and David Ricardo (1772-1823) focused on the distribution of factor income, i.e. production (land, labor, capital). . Modern economists have also addressed the issue of income distribution, but have focused more on the distribution of income between individuals and households. An important theoretical and policy concern is the balance between income inequality and economic growth, and their often inverse relationship.
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a) Work out the percentage population increase from 2001 to 2011.
Give your answer to 1 decimal place.
The percentage population increase from 2001 to 2011 is 50%.
To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.
The formula to calculate the percentage increase is:
Percentage Increase = ((New Value - Old Value) / Old Value) * 100
Plugging in the values:
Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%
Therefore, the percentage population increase from 2001 to 2011 is 50%.
Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.
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y-2x= -6
how to solve this problem
Answer:
Unless we have something more we are solving for, the best we can do is to simplify into slope-intercept form and then graph.
-> See attached
Step-by-step explanation:
y-2x= -6
y = 2x - 6
-> See attached
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Subtract (–3f + 1.9) – (0.2 – 6f ).
A. –9f + 1.7
B. 3f + 1.7
C. 3f + 2.1
D. –9f + 2.1
Answer: B. 3f+1.7
Let's simplify step-by-step.
−3f+1.9−(0.2−6f)
Distribute the Negative Sign:
=−3f+1.9+−1(0.2−6f)
=−3f+1.9+(−1)(0.2)+−1(−6f)
=−3f+1.9+−0.2+6f
Combine Like Terms:
=−3f+1.9+−0.2+6f
=(−3f+6f)+(1.9+−0.2)
=3f+1.7
Answer:
B. 3f + 1.7
Step-by-step explanation:
(–3f + 1.9) – (0.2 – 6f )
Note: the '-' before the second bracket set tells us we must multiply everything in there by '-1', which means we change the sign of all the terms in the second bracket set.
–3f + 1.9 – 0.2 + 6f
Now we group similiar terms together
6f-3f + 1.9-0.2
And subtract!
3f+1.7
What type of association does the graph show?
A. positive nonlinear
B. positive linear
C. negative nonlinear
D. negative linear
Answer:
B. Positive linear
Step-by-step explanation:
First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive
Have you seen or read about an example where data were presented on an issue, but the sample was not representative of the population from which it was drawn? If you can't recall a specific example, locate one using an Internet search.
For this discussion, summarize the issue and respond to the following questions.
Why do you believe the sample was not representative of the population?
What are the undesirable consequences of using a poor sampling technique?
How could the inaccurate reporting of the data been prevented?
Yes, there are many examples where data were presented on an issue, but the sample was not representative of the population from which it was drawn. One such example can be found in a 2016 article published in The Guardian, titled "Why polls get it wrong – and why that matters for democracy."
In this article, the authors discuss the issues with polling techniques used during the 2016 US presidential election. They argue that the sample sizes used in many of the polls were too small and not representative of the wider population. As a result, the polls failed to accurately predict the outcome of the election.
I believe the sample was not representative of the population because the polling companies may have relied on outdated or incorrect data to select their samples. Additionally, they may have relied on self-selected samples or only sampled certain demographics, which could bias the results.
The undesirable consequences of using a poor sampling technique are significant. For example, inaccurate polling results can lead to misleading news coverage, which can influence public opinion and even affect election outcomes. Additionally, polling companies that consistently produce inaccurate results may lose credibility and damage their reputations.
To prevent inaccurate reporting of data, it's essential to use proper sampling techniques. This includes ensuring that the sample is representative of the population being studied, selecting an appropriate sample size, and minimizing biases in the sampling process. Additionally, polling companies should be transparent about their methods and share their data and methodologies with the public so that others can scrutinize their findings.
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Find the critical value needed to construct a confidence interval of the given level with the given sample size. Round the answers to three decimal places.
Part 1 of 4
(a) For level 95% and sample size 7.
Part 2 of 4
(b) For level 98% and sample size 12.
Part 3 of 4
(c) For level 99% and sample size 27.
Part 4 of 4
(d) For level 98% and sample size 14.
Answer:
a) \( t_{\alpha/2}=\pm 2.447\)
b) \( t_{\alpha/2}=\pm 2.718\)
c) \( t_{\alpha/2}=\pm 2.779\)
d) \( t_{\alpha/2}=\pm 2.650\)
Step-by-step explanation:
Part a
The degrees of freedom are given by:
\( df=n-1= 7-1=6\)
The confidence is 95% or 0.95 the significance would be \(\alpha=0.05\) and the critical values would be:
\( t_{\alpha/2}=\pm 2.447\)
Part b
The degrees of freedom are given by:
\( df=n-1=12-1=11\)
The confidence is 98% or 0.98 the significance would be \(\alpha=0.02\) and the critical values would be:
\( t_{\alpha/2}=\pm 2.718\)
Part c
The degrees of freedom are given by:
\( df=n-1=27-1=26\)
The confidence is 99% or 0.99 the significance would be \(\alpha=0.01\) and the critical values would be:
\( t_{\alpha/2}=\pm 2.779\)
Part d
The degrees of freedom are given by:
\( df=n-1=14-1=13\)
The confidence is 98% or 0.98 the significance would be \(\alpha=0.02\) and the critical values would be:
\( t_{\alpha/2}=\pm 2.650\)
A value of a test statistic defines the upper bounds of a confidence interval, statistical significance in a test statistic is known as the crucial value.
critical value:For part a )
n = 7
Calculating the degrees of freedom \(= df = n - 1 = 7 - 1 = 6\)
At \(95\%\) the confidence level, the t:
\(\alpha = 1 - 95\% = 1 - 0.95 = 0.05\\\\\frac{\alpha}{ 2} = \frac{0.05}{ 2} = 0.025\\\\t_{\frac{\alpha}{ 2}}\\\\df = t_{0.025,6} = 2.447\\\\\)
The critical value = 2.447
For part b )
n =12
Calculating the degrees of freedom\(= df = n - 1 = 12 - 1 = 11\)
At \(98\%\) the confidence level , the t:
\(\alpha = 1 - 98\% = 1 - 0.98 = 0.02\\\\\frac{\alpha}{ 2}= \frac{0.02}{ 2} = 0.01\\\\t_{\frac{\alpha}{ 2}}\\\\df = t_{0.01,11} =2.718\\\\\)
The critical value =2.718
For part c )
n = 27
Calculating the degrees of freedom \(= df = n - 1 = 27 - 1 = 26\)
At \(99\%\) the confidence level, the t:
\(\alpha = 1 - 99\% = 1 - 0.99 = 0.01\\\\\frac{\alpha}{ 2} = \frac{0.01}{ 2} = 0.005\\\\t_{\frac{\alpha}{ 2}}\\\\df = t_{0.005,26}=2.779\\\\\)
The critical value =2.779
For part d )
n = 14
Calculating the degrees of freedom \(= df = n - 1 = 14 - 1 = 13\)
At \(98\%\) the confidence level, the t:
\(\alpha = 1 - 98\% = 1 - 0.98 = 0.02\\\\\frac{\alpha}{ 2} = \frac{0.02}{ 2} = 0.01\\\\t_{\frac{\alpha}{ 2}} \\\\df = t_{0.01,13} =2.650\)
The critical value =2.650
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1. Out of 318 seventh and eighth grade CAVA students there were 48 students that chose Music as their elective
course and the rest chose World Language. There were a total of 124 eighth grade students and 108 of them
chose World Language as their elective.
Use this information to complete the two-way table completely.
Enter your answer by filling in the boxes to complete the table (5 pts)
Answer:
8th Grade
7th Grade
Totals
Music
48
World Language
108
Totals
124
318
The students in 8th class who choose music are 16 in number,
The students in 7th class who choose music are 32 in number
The total who choose world language is 270
The totals who are in 7th grade be 194
The number of students who choose world language in 7th class are 162
Let x be the students in 8th class who choose music
x+108=124
x=124-108
x=16 students
Now y be the students in 7th class who choose music
16+y=48
y=48-16
y=32
Let z be the total who choose world language
48+z=318
z=318-48
z=270
Now the totals who are in 7th grade be A
124+A=318
A=318-124
A=194
B be the number of students who choose world language in 7th class
Now 32+B=194
B=194-32
B=162
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The ratio of red paint and blue paint in paint mixture is 3:4 . How much blue paint is needed to make 1400 ml of paint mixture
According to the information provided, 4.5 litres of red paint and 1400 ml of blue paint are required to manufacture the paint mixture.
Liter or litre—which is correct in India?Liter and litre are equivalent terms. Liter is favoured by American English, while Liter is utilized by all English-speaking nations inspired by Europe and British English Both red and blue colors have a 3:4 ratio, we require 3 litres of red paint for every 4 litres of blue paint, which implies that we need 3/4 litres of red paint for every litre of blue paint and 6 litres of blue paint for every litre of red paint.Red paint requires 3/4 x 6 = 9/2 = 4.5 litres.
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Solve the following
a) 2x + 3) = x-4
Answer:
x=-7
Step-by-step explanation:
2x+3=x-4
2x-x=-4-3
x=-7
Gina has 32 items to ship and 11 shipping boxes. The large shipping boxes can hold 4 items each. The small shipping boxes can hold 2 items each. Gina has exactly enough boxes for her items. How many of each type of box does she have?
Answer:
Gina has 5 large shipping boxes and 6 small shipping boxes.
Step-by-step explanation:
32 items to ship and 11 shipping boxes.
Large=4 items
4 X 5 = 20
Small=2 items
2 X 6 = 12
20 + 12 = 32
please help me with this question :)
Step-by-step explanation:
if you brought this in here correctly, oh, it is a real mystery !
common sense ! we need common sense !
what can I add to e.g. 15 to still keep the 15 ?
this works with any other number as well.
e.g. 1
I have 1.
how much can I add to 1 to still have 1 afterwards ?
1+? = 1
? = 0
right. there is no other solution, as there are also no miracles in math.
whatever is added, is then added. to remain unchanged we can only add 0.
so,
15 + something = 15 can only be true, if that something is 0.
something = |3x|
that means the absolute value of 3x, which will always be +3x even for negative x.
but it does not matter.
|3x| = 0 (has to be 0 to make the main statement true).
therefore, 3x = 0
therefore, x = 0.
so, they're is only one dot (a filled dot) at precisely 0 in the graph that makes this a true statement.
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
Help quick.
Answer: y=8 and x=8 radical 3
Fraction - 7/3 x 5/21
Answer:
your answer is -5/9
Step-by-step explanation:
Answer:
given that -7/3×5/21
=-7×5/3×21
=-35/63( divided by 7)
=-5/9
i hope this will help you
Find the volume of the following figure
find the values of variables, then find the lengths of the sides of each quadrilateral
how is 1/14x42=3 can someone? explain
Answer:
This is why \(\frac{1}{14}\) x 42 = 3
Step-by-step explanation:
\(\frac{1}{14}\) x 42 can also be written as \(\frac{1}{14}\) x \(\frac{42}{1}\)
we can reduce diagonally by 7 so \(\frac{1}{14}\) x \(\frac{42}{1}\) = \(\frac{1}{2}\) x \(\frac{6}{1}\)
now we multiply across \(\frac{1}{2}\) x \(\frac{6}{1}\) = \(\frac{6}{2}\)
6 divided by two or \(\frac{6}{2}\) = \(\frac{3}{1}\) or 3
The local bowling alley pays you
$7.25 per hour to manage the desk.
Last week you worked 16 hours.
What is your straight-time pay?
Answer:
my straight time payment will be $116 for last week
Step-by-step explanation:
The local bowling alley pays
$7.25 per hour to manage the desk.
If worked 16 hours, my straight time payment will be
Rate= $7.25 per hour
Hour worked= 16 hours
my straight time payment = rate*hour worked
my straight time payment = 7.25*16
my straight time payment = 166.00
my straight time payment will be $116
Using the method of splitting a complex shape into smaller, standard figures, find the area of Vivian’s house using only points provided in the diagram.
Answer:
Step-by-step expVivian’s house area can be split into two rectangles: FLSU and MNSR.
area of rectangle FLSU
= length × width
= (FU) × (FL)
= 30 × 25
= 750 square feet
area of rectangle MNSR
= length × width
= (MS) × (MN)
= 38 × 25
= 950 square feet
area of Vivian’s house
= area of rectangle FLSU+ area of rectangle MNSR
= 750 square feet + 950 square feet
= 1,700 square feet
Nolan has 4 sets of water colors. Each set has 8 colors. How
many total colors would he have if he bought 2 more sets?
Answer:
He would have 48
Step-by-step explanation:
1 set: 8
2 sets: 16
3 sets: 24
4 sets: 32
5 sets: 40
5 sets: 48
OR
{4(8)} + 2(8)
32 + 2(8)
32 + 16
48
Have an amazing day!!
PLEASE RATE AND MARK BRAINLIEST!
Answers
48
Steps
4+2=6
8 times 6= 48
Given f(x)=x^2+6x and g(x)=4 x^2, find fg. fg(x)=
The composite function f·g(x) is 4x⁴+24x³.
The given functions are f(x)=x²+6x and g(x)=4x².
We need to find f·g(x).
We know that, f·g(x)=f(x)×g(x)
Here, f·g(x)=(x²+6x)×4x²
= x²×4x²+6x×4x²
= 4x⁴+24x³
Therefore, the composite function f·g(x) is 4x⁴+24x³.
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