The range of shelter A is 22. The range of shelter B is 18.
What are the measures of spread?A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines and a box. the two lines are known as whiskers. The end of the first line represents the minimum number and the end of the second line represents the maximum number. The range is the difference between the two numbers.
Range of shelter A = 30 - 8 = 22Range of shelter B = 28 - 10 = 18To learn more about box plots, please check: https://brainly.com/question/27215146
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Solve:
x-1
——— < 0
x²-4
Answer: x≠±2, x<±2, x>1, x<1, and x>±2
explanation:
for this equation to be true
Case 1
either (x-1) should be a negative while (x²-4) should be positive
which gives:-
x-1<0
so, x<1
also, x²-4>0
so, x²>4
⇒x>±2
Case 2:-
x-1>0 and x²-4<0
which gives
x>1 and x²-4<0
so, x>1 or x<±2
Case 3:-
either way, the denominator can't be 0
so, x²-4≠0
which gives,
x≠±2
compiling all, we have,
x≠±2, x<±2, x>1, x<1, and x>±2
These solutions can be pointed to as points on a number line and the behavior shows their discontinuity.
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One factor of the function f(x) = x ^ 3 - 9x ^ 2 + 20x - 12 is (x - 6) Describe how to find the x- intercepts and the y-intercept of the graph f(x) without using Show your work and include all intercepts in your answer
Answer:
Therefore, the y-intercept is (-12, 0)
Which graph represents the solution set for the compound inequality below? ---x+ 10 ≥7 X-10≥7
x-10≥7
A graph which represents the solution set for the compound inequality is shown in the image attached below.
How to determine the graph?In order to determine the graph which represents the solution set for the compound inequality, we would evaluate the given inequalities as follows.
Given the following inequalities:
⅓x + 10 ≥ 7
x - 10 ≥ 7
For the first inequality, we have:
⅓x + 10 ≥ 7
Multiply all through by 3;
x + 30 ≥ 21
x ≥ 21 - 30
x ≥ -9 ⇒ x < 9.
For the first inequality, we have:
x - 10 ≥ 7
x ≥ 7 + 10
x ≥ 17.
In conclusion, a graph which represents the solution set for the compound inequality is shown by using the number line in the image attached below.
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Light travels at 300,000 km/s, how long would it take to travel from the sun which is 148800000 km away
Answer:
496 seconds
Step-by-step explanation:
148800000 ÷ 300000 = 496
What is the equation of the line that passes through the point (6,-4) and has a slope
of-1/3
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[tex]\text{\textbf{Hello!} In this question, we are trying to figure out the \underline{equation} of the line}\\\text{with the given information.}[/tex]
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[tex]\textbf{Explanation:}\\\quad{}\\\text{In the question, we were given our \emph{slope} and a \emph{point}.}\quad{}\\\\\text{Slope: -1/3 }\\\\\text{Point: (6, -4)}\\\quad{}\\\text{We can use the information above to help solve our question.}\\\text{In order to find the equation, we will be using the \underline{point-slope formula:}}\\\quad{}\\y - y1 = m(x - x1)\\\quad{}\\\text{With this equation, we would plug in our given values and solve.}\\\\[/tex]
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[tex]\textbf{Solve:}\\\\y - y1 = m(x - x1)\quad{}\\\\\text{Plug in -1/3 to m, 6 to x1, -4 to y1 and then solve.}\\\\y - (-4) = -1/3(x - 6)\\\\y + 4 = -1/3x + 2\\\\\fbox{y = -1/3x - 2}[/tex]
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[tex]\textbf{Answer:}\\\\\text{Therefore, the equation of the line would be: \fbox{y = -1/3x - 2}}[/tex]
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The revenue from selling shirts is r(x) = 11x.
The cost of buying x shirts is c(x) = 6x + 20.
The profit from selling x shirts is p(x) = r(x) - c(x).
What is p(x)?
Answer:
r(x)= 11x
c(x) = 6x + 20
p(x) = r(x) - c(x)
= 11x -( 6x + 20)
= 11x - 6x - 20
= 5x - 20
[tex]-2(bx - 5) = 16[/tex]
Answer:
bx=-3
Step-by-step explanation:
-2(bx-5)=16
Use distributive property.
-2bx+10=16
Now, subtract 10 from both sides.
-2bx=6
Divide -2 from both sides.
bx=-3
Hope this helps!
If not, I am sorry.
What is the slope of the line with the equation y-3=-1/2(x-2)?
Answer: [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]y -3 = -\frac{1}{2}(x-2)[/tex]
Write as slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
[tex]y-3=-\frac{1}{2}x + 1[/tex]
[tex]y = -\frac{1}{2}x+4[/tex]
Therefore, the slope is [tex]-\frac{1}{2}[/tex].
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
2 similar triangles. Triangle 1 has side lengths 14, 21, blank. Triangle 2 has side lengths 18, 27, blank.
a.
StartFraction 14 Over 27 EndFraction = StartFraction 21 Over 28 EndFraction = StartFraction 14 Over 27 EndFraction
b.
StartFraction 14 Over 18 EndFraction = StartFraction 21 Over 27 EndFraction = StartFraction 7 Over 9 EndFraction
c.
StartFraction 14 Over 21 EndFraction = StartFraction 18 Over 27 EndFraction = StartFraction 2 Over 3 EndFraction
d.
StartFraction 27 Over 14 EndFraction = StartFraction 28 Over 21 EndFraction = StartFraction 27 Over 14 EndFraction
The ratio of the sides of the given similar triangles is: C. 4/12 = 5/15 = 1/3.
How do the Sides of Similar Triangles Relate?The corresponding sides of similar triangles have ratios that are equal to each other.
The corresponding sides and their ratios are:
4/12 = 1/3
5/15 = 1/3
Therefore, the ratio of their sides in its lowest term is:
C. 4/12 = 5/15 = 1/3
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Which function is graphed?
Answer:
science type of food group : fibre
The number of goldfish in a tank is 22, and the volume of the tank is 56 cubic feet. What is the density of the tank?.
Answer:
0.39??
Step-by-step explanation:
Contamination is a problem in the manufacture of optical storage disks. The number of particles of contamination that occur on an optical disk has a Poisson distribution, and the average number of particles per square centimeter of media surface is 0.1. The area of a disk under study is 100 cm2. Find the probability more than 12 particles occur in the area of a disk under study.
The probability that more than 12 particles occur in the area of a disk under the study is 0.20844.
The number of particles follows a Poisson Distribution.
A Poisson Distribution over a variable X, having a mean λ, has a probability for a random variable x as [tex]P(X = x) = e^{-\lambda} \frac{\lambda^{x}}{x!}[/tex] .
In the question, x = 12.
λ = 100*0.1 = 10.
To find : P(X > 12)
P(X > 12) = 1 - P(X ≤ 12) = 1 - poissoncdf(10,12)
As to find the probability of a Poisson Distribution P(X ≤ x), for a mean = λ, we use the calculator function poissoncdf(λ,x).
Therefore, P(X > 12) = 1 - 0.79156 = 0.20844.
Therefore, the probability that more than 12 particles occur in the area of a disk under the study is 0.20844.
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A triangle with vertices at A (0, 0) B (0, 4) and C( 5, 9) is dlated to yeld a triangle with vertices at A(0, 0) , B(0, 10) and C (15, 0) The origins the center of dilation. What is the scale factor of the dilation?
A 1.5
B 2
C 2.5
D 3
Consider the graph of the function f(x)=-(2)^x + 4
I have linked a picture with the intervel.
Please help answer this question asap 4/11
Please help!!!!
Write the equation of the circle in general form. Show all your work
Let's first gather all the information we have:
[tex]\rm\hookrightarrow Center: (-3, 2)\\\rm \hookrightarrow Radius: 5[/tex]
Let's put that into standard form [tex](x-h)^2+(y-k)^2 =r^2[/tex]
(h, k): center's coordinater: radius[tex]\rm \hookrightarrow Equation: (x+3)^2+(y-2)^2 = 5^2[/tex]
To put that equation into general form:
⇒ expand all the quadratics on one side and move the radius squared
to the same side as the quadratics
[tex](x+3)^2+(y-2)^2 = 25\\x^2+6x+9+y^2-4y+4=25\\x^2+y^2+6x-4y-12=0[/tex]
Answer: x² + y² + 6x - 4y - 12 = 0
Hope that helps!
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For my math assessment, I need to apply trigonometry in a real life situation and explain about it. I've been thinking of 1. trigonometry applied in cricket 2. music (sound waves)... but still not quite sure how to. If anyone has knowledge on how I could work on these or any other new ideas that would be relevant, PLEASE help me!!! Thank you!! <3
Answer:
I know you said relevant so i have two answers.
1) (not so relevant).
You could use it to show how NASA and astronomers use it to calculate the distance between planets and connect it to building rockets and all that cool stuff.
2) (relevant).
For the one about music, you could connect it to sound engineers and use sine and cosine graphs to calculate wavelengths
Answer: Answers below.
Step-by-step explanation: Suppose you want to find the best angle to kick a soccer ball so that it enters the goal. A triangle can be formed with angle ζ facing the goal. Increasing ζ or decreasing ζ will allow you to see the best angle that is the maximum amount of time that you should wait until scoring the ball.
Sine, Cosine, and Tangent waves are used everyday in phones, tablets, computers, and in quantam and normal technology by imitating and creating waves that can be sent to a destination.
You can use inverse trigonometric functions to find the height of a roof, the height of a tree, the height of a pole, and more.
Light waves are, in reality, sine and cosine waves intertwined together.
You can even use trigonometry every day in work places, such as in software engineering. In fact, calculus 1 and 2, as well as Multivariate Calculus, which heavily and fundamentally uses trigonometry, is used widely across computer science. These help you to get $100,000 jobs.
Find the sum of the first 7 terms of the following sequence 3,-5,25/3 Round to the nearest hundredth if necessary.
This is a geometric sequence with first term 3 and a common ratio of -5/3.
Using the sum of a geometric series formula,
[tex]\frac{3(1-(-5/3)^{7}}{1-(-5/3)} \approx \boxed{41.31}[/tex]
In the equation below, variables X and Y represent two matrices. Which property of matrix addition is illustrated below?
X+Y=Y+X
O inverse property
O commutative property
O associative property
O identity property
Answer: the answer is b
Step-by-step explanation:
Mathmatical proofs. please help
Willing to give brainlyest if you can aswer these for me ASAP
Answer:
65
Step-by-step explanation:
its simple math
Answer:
x+5=12. x = 7,
7x=21. x = 3,
b-2/3=5/6. b = 1.5,
3/4x=6x=8. x = 1/3,
45=3(x+1). x = 14,
22.5+1.5x. x = 15,
20+(5•9). $65
Step-by-step explanation:
The work of a student to solve the equation 2(3x-4)= 8 + 2x + 4 is shown below.
Step 1: 2(3x-4)= 8+2x+4
Step 2: 5x6 = 12 + 2x
Step 3: 5x-2x = 12 +6
Step 4: 3x = 18
Step 5: x = 6
In which step did the student first make an error and what is the correct step?
O Step 2; 6x6 = 2(6+ x + 2)
O Step 2; 6x8 = 12 + 2x
O Step 3; 5x-2x = 12-6
O Step 3; 5x + 2x = 12 +6
A large apartment complex has 1,500 units, which are filling up at a rate of 10% per month. If the apartment complex starts with 15 occupied units, how many months will pass before the complex has 800 occupied units? (Assume logistic growth). Round to the nearest tenth.
The number of months before the complex would have 800 occupied units is 40 months.
How many months before the complex has 800 occupied units?The formula that can be used to determine the required value is:
(In FV / PV) / r
Where:
FV = 800 PV = present occupancy rate = 15 r = rate of filling up = 10%(In 800 / 15) / 0.1 = 40 months
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Answer: 47.3 months
Step-by-step explanation:
Quadrilateral VWXY is a parallelogram. Find the measure of V
In a given year, a marketing firm has the following costs: $560,000 in wages and salaries paid to employees; $74,000 in rental payments for office space; and $83,000 for office supplies, advertising, and utilities. In addition, Andrew, the owner of the firm, works for the firm full time (and is not paid a salary, since he receives the firm's profits). If he did not work for the marketing firm, Andrew could earn $130,000 per year working as a marketing manager for another firm.
Accounting profit when revenue is 700,000 is $-17,000 and economic profit is $-147,000.
Accounting profit when revenue is 750,00 is $33,000 and economic profit is $-97,000
Accounting profit when revenue is 800,000 is $83,000 and economic profit is $-47,000.
Accounting profit when revenue is 850,000 is $133,000 and economic profit is $3000
What is economic and accounting profit?Accounting profit is total revenue less total explicit cost. Economic profit is accounting profit less implicit cost
Explicit cost = $560,000 + $74,000 + $83,000 =$717,000
Implicit cost = 130,000
Accounting profit when revenue is 700,000: 700,000- 717,000 = $-17,000
Economic profit = $-17,000 - $130,000 = $-147,000
Accounting profit when revenue is 750,000: 750,000- 717,000 = $33,000
Economic profit = $33,000 - $130,000 = $-97,000
Accounting profit when revenue is 800,000: 800,000 - 717,000 = $83,000
Economic profit = $83,000 - $130,000 = $-47,000
Accounting profit when revenue is 850,000: - 717,000 = $133,000
Economic profit = $133,000 - $130,000 = $3000
Here is the complete question:
For each possible amount of total revenue, fill in the accounting profit and economic profit of the marketing firm.
700,000
750,000
800,000
850,000
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The graph below shows point P and line A. If line B is drawn such that it passes through point P and is parallel to line A, what is the equation of line B? Give your answer in the form y = mx + c, where m and care integers or fractions in their simplest forms. The graph below shows point P and line A. If line B is drawn such that it passes through point P and is parallel to line A , what is the equation of line B ? Give your answer in the form y = mx + c , where m and care integers or fractions in their simplest forms .
Answer:
Step-by-step explanation:
If line A is parallel to line B passes through the point (2,7), the equation of line B will be y=3x+1.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that the points are (2,7)
The slope of line A is,
m = 6/2
m=3
The equation of the line is,
y-(-1)=3x
y=3x+1
Since the line B is parallel to A the slope of the line is the same,
y-(-7)=3(x-2)
y=3x+1
Thus, if line A is parallel to line B passes through point (2,7), the equation of line B will be y=3x+1.
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What is 3m+5m?
>8
>8m
>8m2
Laurie is trying to stay within 10 feet of her current diving depth of –30 feet (with regard to sea level) so that the light is still good but she can be close to the sea life during her scuba dive. Which two equations can be used to find the minimum and maximum depths Laurie wants to stay between?
-30 - x = 10 and -30 - x = –10
-30 + x = 10 and -30 + x = –10
x + 10 = 30 and x + 10 = –30
x – 10 = 30 and x – 10 = –30
The equation that can be used to describe the minimum and maximum depths Laurie wants to stay between is x + 10 = 30 and x + 10 = –30 so the correct answer is option C.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Diving is the art of going down to the depth of the ocean. Divers usually go deep down in the ocean to study the dynamics of ocean life.
The equation that can be used to describe the minimum and maximum depths Laurie wants to stay between is x + 10 = 30 and x + 10 = –30
Therefore the equation that can be used to describe the minimum and maximum depths Laurie wants to stay between is x + 10 = 30 and x + 10 = –30 so the correct answer is option C.
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I read 1/3 of a book in an hour.
How much more of the book will I read in 2 1/5 hours
Answer:
Step-by-step explanation:
To find the number of pages of the book in the given hour:
To find the number of pages in 2 1/5 hours, multiply the number of pages read in 1 hour by 2 1/5 hours.
[tex]\sf \text{ Number of pages read in 2 $\dfrac{1}{5}$ hours = $\dfrac{1}{3}*2\dfrac{1}{5}$ }[/tex]
[tex]\sf = \dfrac{1}{3}*\dfrac{11}{5}\\\\=\dfrac{11}{15}[/tex]
[tex]\sf \text{Number of pages read more in 2 $\dfrac{1}{5}$ hours = $\dfrac{11}{15}-\dfrac{1}{3}$}[/tex]
[tex]\sf =\dfrac{11}{15}-\dfrac{1*5}{3*5}\\\\=\dfrac{11}{15}-\dfrac{5}{15}\\\\=\dfrac{6}{15}[/tex]
Answer:
see below
Step-by-step explanation:
Here is another way
1/3 book / hr * 2 1/5 hr =
1/3 * 11/5 = 11/15 read in 2 1/5 hr
1/3is the same as 5 /15
11/15 - 5 /15 = 6/15 = 2/5 more read in 2 1/5 hr that 1/3 hr
Point M is 6 units away from the origin. Circle the letter by each pair of possible
coordinates.
A. (3, 0)
B. (4, 2)
C. (5, 3)
D. (0, 6)
E. (4, 4)
F. (1, 5)
The distance between the points (0, 0) and (0, 6) on the coordinate plane will be 6 units. Then the correct option is D.
What is the distance between two points?The shortest distance (length of the straight line segment's length connecting both given points) between points (p, q) and (x, y) is:
D² = (x – p)² + (y – q)²
Point M is 6 units away from the origin.
Take option D assuming correct, then the point will be (0, 6)
Then the distance between the points will be
D² = (0 - 0)² + (6 - 0)²
D² = 0² + 6²
D² = 0 + 36
D² = 36
D = 6 units
Then the correct option is D.
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