Answer:
#1) A
#2) B
#3) C
#5) A
#7) D
#10) D
#11) D
#14) A
#15) D
#16) A
#19) D
Step-by-step explanation:
#1) If the data set is linear, the slope will be constant throughout the entire data set. For data set A, the slope between the first two points is:
m = (y₂-y₁)/(x₂-x₁) = (1--2)/(3-1) = 3/2
Between the second two points,
m=(4-1)/(5-3) = 3/2
Between the third pairs of points,
m=(7-4)/(7-5) = 3/2
The slope is constant throughout the entire set. The set is also increasing; as x increases, y increases as well.
#2) Substituting 4 for y and 1 for x,
y = (x+1)²
4 = (1+1)² = 2²
9 = (1+2)² = 3²
16 = (1+3)² = 4²
This works for each point, so this is the solution.
#3) Since he runs 10 laps per hour t, this is 10t. Adding the first lap to this, we get y=10t+1.
#5) If a sequence is arithmetic, each term is found by adding a constant (called the common difference) to the previous term. If the common difference is 2, this means that 2 was added each time. This only works for choice A.
#7) For x to vary directly as y, this means that y/x = k; in other words, the quotient of y and x is constant for every point.
#10) The formula for slope is:
m=(y₂-y₁)/(x₂-x₁)
Using the information we're given, we have
3=(d-5)/(4-2)
3=(d-5)/2
Multiply both sides by 2:
3*2 = ((d-5)/2)*2
6 = d-5
Add 5 to both sides:
6+5 = d-5+5
11 = d
#11) Using point slope form,
y-y₁ = m(x-x₁)
y-1 = 3(x--2)
y-1 = 3(x+2)
Using the distributive property,
y-1 = 3*x + 3*2
y-1 = 3x + 6
Add 1 to both sides:
y-1+1 = 3x+6+1
y=3x+7
#14) If two lines are parallel, they have the same slope. The slope of the given equation is 4; the only one with a slope of 4 is A.
#15) If two lines are perpendicular, they have slopes that are negative reciprocals (opposite signs and flipped). The slope of the given equation is 2; this means the slope of the perpendicular line would be -1/2. The only one with this slope is D.
#16) The two equations are not the same, so there are not infinitely many solutions. The variables do not both cancel, so there is at least one solution. This only leaves one solution as the answer.
#19) Using 1 for 7 and 4 for x, we check each equation. The only one that comes out correct is D.
i hope this work for you
and sory if im wrang
When coverting centimeters to inches,do you multiply or divide by 2.54?Explain. If someone Explains and gets it correct tell me and i will make a question called i eat apple pie and i give them 85 points
Answer:
Divide by 2.54
Step-by-step explanation:
Because a centimeter is smaller than an inch, you have to divide by 2.54 when converting from cm to inches.
Ben says the measure of the angle is
50
°
, but Jeff says it is
130
°
.
Who is correct, Ben or Jeff? Explain your reasoning for your answer.
Answer:
Ben
Step-by-step explanation:
Ben is correct. because you have to start 0° from right hand side.
the souder family went on a vacation with 3000$ if they spent 200 each day,how much money they got left after x days.
after x days they will have 3000 - 200x
The Downtown Community Barbecue served 363 dinners. A child’s plate cost $4.20 and an adult’s plate cost $9.00. A total of $2,681.40 was collected. How many of each type of plate was served?
Answer:
there were 223 child plates and 149 adult plates
Step-by-step explanation:
There were 223 child plates.
Since there were a total of 372 plates, there will be 149 adult plates (223 + 149 = 372)
To verify, the total amount raised would be $2121.50:
3.50c + 9a = 2121.50
3.50*223 + 9*149 = 780.50 + 1341.00= $2121.50
The product of y and 9 is at most -18.
Answer:
y = -2
Step-by-step explanation:
Y × 9 = -18
Y = -18 / 9
Y = -2
The width of a vegetable garden is į times its length.
If the length of the garden is 7 feet, what is the width
in simplest form?
Answer:
I guess it's 6 but I'm not really sure about my answer
One number is five more than the other their sum is 33
Answer:
14 and 19
Step-by-step explanation:
33-5=28
28÷2=14
Hence, one of the number is 14.
14+5=19.
Another number is 19.
∴For checking:
19+14=33
19-14=5
[tex] \rm\sum_{n = 1}^ \infty ( - 1 {)}^{n + 1} \int^{ \infty }_{0} \frac{ \sqrt{ {x}^{2n - 3} } \: {tan}^{ - 1}( {x}^{2n - 1} )}{1 + {x}^{2n - 1} } \: dx\\ [/tex]
Substitute [tex]y = x^{\frac{2n-1}2}[/tex] and [tex]dy = \frac{2n-1}2 x^{\frac{2n-3}2} \, dx[/tex]. Then the integral is
[tex]\displaystyle \int_0^\infty \frac{x^{\frac{2n-3}2} \tan^{-1}\left(x^{2n-1}\right)}{1 + x^{2n-1}} \, dx = \frac2{2n-1} \underbrace{\int_0^\infty \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy}_I[/tex]
which is to say, the integral is now independent of n. Then
[tex]\displaystyle \sum_{n=1}^\infty (-1)^{n+1} \int_0^\infty \frac{x^{\frac{2n-3}2} \tan^{-1}\left(x^{2n-1}\right)}{1+x^{2n-1}} \, dx = I \sum_{n=1}^\infty \frac{2(-1)^{n+1}}{2n-1}[/tex]
Let's evaluate the sum. Recall that if |x| < 1, we have
[tex]\displaystyle \frac1{1-x} = \sum_{n=0}^\infty x^n[/tex]
which means
[tex]\displaystyle \frac1{1+x^2} = \frac1{1-(-x^2)} = \sum_{n=0}^\infty \left(-x^2\right)^n = \sum_{n=0}^\infty (-1)^n x^{2n}[/tex]
By the fundamental theorem of calculus, integrating both sides gives
[tex]\displaystyle \tan^{-1}(x) = \sum_{n=0}^\infty (-1)^n \frac{x^{2n+1}}{2n+1} = \sum_{n=1}^\infty (-1)^{n+1} \frac{x^{2n-1}}{2n-1}[/tex]
As x approaches 1 from below, we have
[tex]\displaystyle \lim_{x\to1^-} \tan^{-1}(x) = \lim_{x\to1^-} \sum_{n=1}^\infty (-1)^{n+1} \frac{x^{2n-1}}{2n-1}[/tex]
[tex]\displaystyle \frac\pi4 = \sum_{n=1}^\infty \frac{(-1)^{n+1}}{2n-1} \left(\lim\limits_{x\to1^-} x^{2n-1}\right) = \sum_{n=1}^\infty \frac{(-1)^{n+1}}{2n-1}[/tex]
and so
[tex]\displaystyle \sum_{n=1}^\infty (-1)^{n+1} \int_0^\infty \frac{x^{\frac{2n-3}2} \tan^{-1}\left(x^{2n-1}\right)}{1+x^{2n-1}} \, dx = \frac\pi2 I[/tex]
Now compute the remaining integral. First split it at y = 1 :
[tex]\displaystyle I = \int_0^1 \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy + \int_1^\infty \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy[/tex]
In the second integral, notice that replacing [tex]z=\frac1y[/tex] and [tex]dy = -\frac{dz}{z^2}[/tex] yields
[tex]\displaystyle \int_1^\infty \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy = - \int_1^0 \frac{\tan^{-1}\left(\frac1{z^2}\right)}{1 + \frac1{z^2}} \, \frac{dz}{z^2} = \int_0^1 \frac{\tan^{-1}\left(\frac1{z^2}\right)}{1+z^2} \, dz[/tex]
The inverse tangent function has the property
[tex]\tan^{-1}(x) = \dfrac\pi2 - \tan^{-1}\left(\dfrac1x\right)[/tex]
so it follows that
[tex]\displaystyle \int_0^1 \frac{\tan^{-1}\left(\frac1{z^2}\right)}{1+z^2} \, dz = \frac\pi2 \int_0^1 \frac{dz}{1+z^2} - \int_0^1 \frac{\tan^{-1}(z^2)}{1+z^2} \, dz[/tex]
and hence
[tex]\displaystyle I = \int_0^1 \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy + \frac\pi2 \int_0^1 \frac{dz}{1+z^2} - \int_0^1 \frac{\tan^{-1}(z^2)}{1+z^2} \, dz[/tex]
[tex]\displaystyle I = \frac\pi2 \int_0^1 \frac{dz}{1+z^2}[/tex]
[tex]I = \dfrac\pi2 \times \dfrac\pi4 = \dfrac{\pi^2}8[/tex]
Then the original expression has an exact value of
[tex]\displaystyle \sum_{n=1}^\infty (-1)^{n+1} \int_0^\infty \frac{x^{\frac{2n-3}2} \tan^{-1}\left(x^{2n-1}\right)}{1+x^{2n-1}} \, dx = \frac\pi2 \times \frac{\pi^2}8 = \boxed{\frac{\pi^3}{16}}[/tex]
A rock has a mass of 1,400 pounds. What is the mass of the rock in ounces? How many tons?
A. The mass of the rock in ounce is 22400 ounce.
B. The mass of the rock in ton is 0.7 ton
Conversion scale 1 pound = 16 ounce1 pound = 0.0005 tonA. How to determine the mass in ounce Mass (in pound) = 1400 poundMass (in ounce) =?1 pound = 16 ounce
Therefore,
1400 pound =1400 × 16
1400 pound = 22400 ounce
B. How to determine the mass in ton Mass (in pound) = 1400 poundMass (in ton) =?1 pound = 0.0005 ton
Therefore,
1400 pound =1400 × 0.0005
1400 pound = 0.7 ton
Learn more about conversion:
https://brainly.com/question/2139943
Help of it's ok?
Nomber 9 and 10 plss help
Answer:
i wrote an explanation and the answers below!
Step-by-step explanation:
so ill give you a few tips on these!
1/2 can be written as 0.50 since its half .
1/4 can be written as 0.25 since its fourth (i dont know how to say it loll) ?
2 1/2 is 2.50 because it has 2 and 0.5
now ill just solve the rest since i explained
3 1/4 = 3.25
20 1/2 = 20.5
10.
to solve for these you have to simplify and look for the GCF (greatest common factor)
20/4
the GCF is 4 because you can divide 4 to the numerator and the denominator, and because it is the biggest value that you can divide between them
so now you just have to simplify it
20/4 = 5
30/5 = 6
40 / 8 = 5
463 of 615 people who were asked question 1 favored the law. 403 of 585 people who were asked question 2 favored the law. Is there evidence that the phrasing may have influenced responses
Using the z-distribution, as we are working with a proportion, it is found that there is evidence that the phrasing may have influenced responses.
What are the hypotheses tested?At the null hypothesis, it is tested if there is no difference between the proportions, that is:
[tex]H_0: p_1 - p_2 = 0[/tex]
At the alternative hypothesis, it is tested if there is difference, that is:
[tex]H_1: p_1 - p_2 \neq 0[/tex]
What is the mean and the standard of the distribution of the differences of sample proportions?For each sample, we have that:
[tex]p_1 = \frac{463}{615} = 0.7528, s_1 = \sqrt{\frac{0.7528(0.2472)}{615}} = 0.0174[/tex]
[tex]p_2 = \frac{403}{585} = 0.6889, s_2 = \sqrt{\frac{0.6889(0.3111)}{585}} = 0.0191[/tex]
For the distribution of differences, we have that:
[tex]\overline{p} = p_1 - p_2 = 0.7528 - 0.6889 = 0.0639[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0174^2 + 0.0191^2} = 0.0258[/tex]
What is the test statistic?It is given by:
[tex]z = \frac{\overline{p} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Hence:
[tex]z = \frac{\overline{p} - \mu}{s}[/tex]
[tex]z = \frac{0.0639 - 0}{0.0258}[/tex]
[tex]z = 2.47[/tex]
What is the decision?Considering a two-tailed test, as we are testing if the proportion is different of a value, and a significance level of 0.05, the critical value is [tex]|z^{\ast}| = 1.96[/tex].
Since the absolute value of the test statistic is greater than the critical value, it is found that there is evidence that the phrasing may have influenced responses.
More can be learned about the z-distribution at https://brainly.com/question/26454209
WILL GIVE BRAINLIEST.
Answer:
B is the better buy.
Step-by-step explanation:
A: conical container: volume = π(6/2)²*9/3 = 27π
B: cylindrical container: volume = π(6/2)²*9 = 81π
Cost per unit volume:
A: $1.75/(27π) = $0.0206
B: $3.75/(81π) = $0.0147
So B is cheaper.
B is the better buy.
If A and B are independent events with P(A) = 0.4 and P(B) = 0.6, find P(A AND B).
Answer:
= 0.25
Step-by-step explanation:
p (A)= 0.4
P (B)= 0.6
P (A and B) = P (A) × P (B)
= ( 0.4 × 0.6 )
= 0.25
WHAT TIME IS HALF PAST THREE???
Answer:
three-thirty (3:30)
Step-by-step explanation:
An hour is 60 minutes, so half an hour would be 30 minutes. Half past 3 would also be 30 minutes past 3, or 3:30.
I hope this helps!! :) Have a lovely day!!!
I need help with a math problem.
Answer:
Webmath is a math-help web site that generates answers to specific math questions and problems, as entered by a user, at any particular moment.
Uhh word words word solve equation words-
Answer:
54°
Step-by-step explanation:
In the given question we would like to solve for x .The two marked angles here are vertically opposite angles . And vertically opposite angles are equal .
So here (2x +2)° and (3x - 52)° are equal. Therefore,
[tex]\longrightarrow 2x + 2^o = 3x - 52^o\\ [/tex]
[tex]\longrightarrow 2x - 3x = -52^o -2^o \\ [/tex]
[tex]\longrightarrow -x = -54^o\\[/tex]
[tex]\longrightarrow \underline{\underline{\boldsymbol{ x = 54^o }}} [/tex]
Hence the value of x is 54°
And we are done!
Answer :
54°Explanation :
When two straight lines intersect each other, then the pairs of angles so formed without any common arm are called vertically opposite angles.Here,
[tex] \longrightarrow \sf \qquad \: (3x - 52) {}^{ \circ} = (2x + 2) {}^{ \circ} [/tex]
[tex]\longrightarrow \sf \qquad \: 3x - 2x = 2 {}^{ \circ} + {52}^{ \circ} [/tex]
[tex]\longrightarrow \bf \qquad \: x = {54}^{ \circ}[/tex]
what is the perimeter
Answer:
wouldt be 112,000?
Step-by-step explanation:
Dont you do 10x9x4x4??
That is how i was tought how to do it. I dont know about you.
Answer:
80
Step-by-step explanation:
The 4 doesn't matter right now unless you were solving for area. Visualize the shape as a normal rectangle with no cut out. That would make the bottom line 10+10+10 which equals 30. The top line is the same as the bottom, so that would also be 30. Then you just have the two sides which are both 10, combined them and they would add up to 20. Perimeter is the distance around the edge of a shape. You find the perimeter by adding up the distance of all the sides. So in conclusion, you're answer will be 30+30+10+10 which equals 80.
PLSS HELP I WILL MARK BRAINLIEST!! A bag of Skittles has 21 purple Skittles. This represents 30% of all Skittles in the bag. how many Skittles are in the bag?
Answer:
70
Step-by-step explanation:
if 21 is 30%, divide 21 by 3 for get 7, which is 10%. Now multiply 7 by 10 to get 70 which is 100%
Hey! 70 skittles is your answer. My work's below!
- - - - - - - - - - - - - - - - - - - -
First, use this formula:
a certain percent (%) = a certain number (#)
# x 100 / %
- - - - - - - - - - - - - - - - - - - -
In this scenario...
30% = 21 (your provided numbers)
21 x 100 / 30 (the formula in action)
2,100 / 30 = 70
(2,100 is the result of 21 x 100, so divided by 30 you have 70!)
- - - - - - - - - - - - - - - - - - - -
Good luck! :)
~pinetree
The area of a rectangular field is 3696 m square. If the length of the field is 66 m, what is its width?
Answer:
The answer is 56m
Step-by-step explanation:
3696m³÷66m=56m
Hope this help!!
Width be x
ATQ
[tex]\\ \rm\hookrightarrow Area=Length\times breadth [/tex]
[tex]\\ \rm\hookrightarrow 66x=3696[/tex]
[tex]\\ \rm\hookrightarrow x=3696/66[/tex]
[tex]\\ \rm\hookrightarrow x=56m[/tex]
Find the equation for the line that passes through (10,- 9) that has slope -8/3.
Give your answer in point-slope form.
Answer:
The answer is [tex]y=-(\frac{8}{3} )x+\frac{53}{3}[/tex]
Answer:
53 answer y hijsbjdh
___
3
320 percent of 360 is what ?
Answer:
Step-by-step explanation:
320% 360 = ?
320/100 * 360 =
3.2*360 = 1152
!!Pls help i desperately need this will give brainliest !!
Find the radius of a sector if Area = 32 cm² of a sector of a circle with θ = radians.
Use: A = ½ θ · r² with θ = and A = 32 cm² and π = 3.14.
Round the area of the sector to the nearest hundredth and express the answer in the correct unit of measure.
Answer:
Step-by-step explanation:
[tex]\frac{\pi r^2}{2 \pi } \times \theta=32\\\frac{1}{2} r^2 \times \theta=32\\r^2=\frac{32 \times 2}{\theta} \\r^2=\frac{64}{\theta} \\r=\frac{8}{\sqrt{\theta} }[/tex]
substitute the value of θ and solve ,you get the value of radius r
help me understand whts happening here
Answer:
No
Step-by-step explanation:
The ratios are not common
Answer:
No
Step-by-step explanation:
the ratios are not common.
Translate the verbal rule into an equation.
To get z, subtract 15 from x.
Answer:
x- 15= z
Step-by-step explanation:
If you want to get that z, it says to subtract 15 from x. So that's why the x comes first.
Please mark me as brainliest!
Salma runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes?
Answer:
10.5
Step-by-step explanation:
you half 50 minutes to get 25 so you do the same to the seven to get 3.5 and then you add 7 and 3.5 together
The sum of two numbers is 52. If one number is
7/6
times the second number, then find the largest
Answer:
28
Step-by-step explanation:
Given:
sum of two numbers = 52one number is 7/6 times the second numberLet [tex]x[/tex] = first number
[tex]\implies \dfrac76x = \textsf{second number}[/tex]
Therefore, as the sum of the two numbers is 52:
[tex]\implies \dfrac76x+x=52[/tex]
[tex]\implies \dfrac76x+\dfrac66x=52[/tex]
[tex]\implies \dfrac{13}{6}x=52[/tex]
[tex]\implies13x=52 \cdot 6[/tex]
[tex]\implies13x=312[/tex]
[tex]\implies x=\dfrac{312}{13}[/tex]
[tex]\implies x=24[/tex]
Therefore, the largest number is:
[tex]\implies \dfrac76\cdot 24 =\dfrac{168}{6}=28[/tex]
Pls help me …….I really need help
Answer:
The least common denominator for 1/3 and 5/11 is 33, and the least common denominator for 4/5 and 1/6 is 30! Hope this helps.
Step-by-step explanation:
6. At the movies, Aaron buys popcorn for
$5.25 and a bottle of water for $2.50. He
pays with a $10 bill. How much change
should Aaron
receive?
ublishing Company
Answer:
$2.25
Step-by-step explanation:
First, you have to add the amount that Aaron paid. Then, subtract it from 10, which is the amount of the bill he is paying with.
5.25 + 2.50 = 7.75
10-7.75 = 2.25
Answer:
$2.25
Step-by-step explanation:
First, we will find out how much he needs to pay.
$5.25 + $2.50 = $7.75
Then, we will find the amount of change he should receive.
$10.00 - $7.75 = $2.25
NEED HELP ASAP 100 POINTS AND WILL GIVE BRAINLIEST!!!
Answer:
area of a deck
A= External area - Internal area
A = length x width
A = ( 44ft x 28ft) - ( 32ft x 16ft)
A = 720ft²
What's the answer????
Answer:
7
Step-by-step explanation:
2(3)(0) + 7
6(0) + 7
0 + 7
7
Have an amazing day!
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