2. What is the length of AB? Round your
answer to the nearest hundredth.
Answer:
The required length of AB is 7.28 units.
What unit of measurement would you use to measure the capacity of a juice box?
Juice in a juice box is usually measured in ounces.
Can’t find answers online to check mine.
Answer:
3. 100% = 1
3/4 = 0.75
Now, 0.75 is halfway between 0.5 and 1, so Chris is correct.
4. 10% = 10/100 = 0.1
3/5 = 0.6
Now, 0.2 is not halfway between 0.1 and 0.6, so Emily is wrong.
Answer:
3 đúng 4 wrong
Step-by-step explanation:
100%=1
giữa 0, 5 và 1 =(0,5+1)/2=3/4
10%= 0,1
giữa 0,1 và 3/5 =(0,1+3/5)/2= 0,35 #0,2
Create the smallest pyramid possible with the tool, and record the values of the base length, base width, height, and volume (in terms of π). Then scale the original pyramid by the given scale factors, and record the resulting volumes (in terms of π), to verify that the formula V' = V × k3 holds true for a pyramid. Please fill in ALL the blanks in the attached table. (i.e. base length, base width, height and volume) Thanks!!!!
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
f x equals 1 / x - 3 + 7 find the inverse of f x and its domain
Answer:
A
Step-by-step explanation:
f(x) = 1/(x-3)+7
f(x)-7=1/(x-3)
x=1/(f(x)-7)+3
f^-1(x)=1/(x-7)+3, where x≠7
The correct answer is option (a) [tex]f^{-1}(x)= \frac{1}{x-7} +3[/tex] where [tex]x\neq 7[/tex].
DomainThe domain of a function is the complete set of possible values of the independent variable
How to find domain?Given [tex]f^{}(x)= \frac{1}{x-3} +7[/tex]
Let
[tex]y= \frac{1}{x-3} +7[/tex]
⇒y-7= 1/x-3
⇒x-3 =1/y- 7
⇒ [tex]x= \frac{1}{y-7} +3[/tex]
hence option a is correct
Learn more about domain here-brainly.com/question/24338767
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Suppose a newspaper wants to conduct a survey on heating oil consumption in Iowa. For the survey, the newspaper randomly picks 26 households. What is the sample distribution of the sample sum
Answer:
noent einda pergnta poudsesrmaesspeeciicofl
Step-by-step explanation:
Please help!!!!! Nowwww
Answer:
It has 1 term and a degree of 4.
Step-by-step explanation:
3j⁴k-2jk³+jk³-2j⁴k+jk³
= 3j⁴k-2j⁴k-2jk³+jk³+jk³
= j⁴k
So, in this expression, there is 1 term, and it has a degree of 4.
The difference of two numbers is 9. The sum of the two numbers is 15. What are the two numbers?
Let numbers be a and b
a+b=15--(1)a-b=9---(2)Adding both
[tex]\\ \qquad\quad\sf\longmapsto 2a=24[/tex]
[tex]\\ \qquad\quad\sf\longmapsto a=\dfrac{24}{2}[/tex]
[tex]\\ \qquad\quad\sf\longmapsto a=12[/tex]
Put value in eq(2)[tex]\\ \qquad\quad\sf\longmapsto 12-b=9[/tex]
[tex]\\ \qquad\quad\sf\longmapsto b=12-9[/tex]
[tex]\\ \qquad\quad\sf\longmapsto b=3[/tex]
Find the volume of a right circular cone that has a height of 18m and a base with a radius of 5.8m
Kevin made a business trip of 312.5 miles. He averages 60 mph for the first part of the trip and 55 mph for the second part. If the trip took a 5.5 hours how long did he travel at each rate
Answer:
Kevin travels for 2 hours at 60 mph and 3.5 hours at 55 mph
Step-by-step explanation:
Let's say that Kevin spends x hours going 60 mph and y hours going 55 mph. We can say that the sum of the two parts is 5.5, so x+y = 5.5 . Next, he goes 60 miles per hour for the first part of the trip, so for each hour he goes 60 mph, he travels 60 miles. We can then denote 60 * x as the distance traveled during the first part of his trip as he goes 60 mph for x hours. Similarly, 55 * y denotes the distance Kevin travels during the second part of his trip. His total distance is thus 60 * x + 55 * y = 312.5 miles
We have
x + y = 5.5
60 * x + 55 * y = 312.5
One way we can solve this is to solve for y in the first equation and plug that into the second. Subtracting x from both sides in the first equation, we get
y = 5.5 - x
Plugging that into the second equation, we get
60 * x + 55 * (5.5-x) = 312.5
60 * x + 55 * 5.5 - 55x = 312.5
5x +302.5 = 312.5
subtract 302.5 from both sides to isolate the x and its coefficient
5x = 10
divide both sides by 5 to solve for x
x = 2
y = 5.5 - x = 5.5 - 2 = 3.5
Therefore, Kevin travels for 2 hours at 60 mph and 3.5 hours at 55 mph
Reflect the given triangle over the x axis.
[3 6 3
-3 3 3]
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Answer:
[[3, 6, 3] [3, -3, -3]]
Step-by-step explanation:
Reflecting over the x-axis changes the sign of the y-coordinate. The reflected coordinates are ...
[tex]\left[\begin{array}{ccc}3&6&3\\3&-3&-3\end{array}\right][/tex]
Determine the volume of the shaded region?
Answer:
volume of shaded region = 112.94 [tex]cm^{3}[/tex]
Step-by-step explanation:
Volume of a cylinder = [tex]\pi r^{2}h[/tex]
volume = 22/7 * [tex]2.5^{2}[/tex] * 14.6
volume = 286.67 [tex]cm^{3}[/tex] approx
volume of sphere = [tex]\frac{4}{3} \pi r^{3}[/tex]
volume = [tex]\frac{4}{3} *\frac{22}{7}*2.4^{3}[/tex]
volume= 57.91 [tex]cm^{3}[/tex] approx
No, of sphere = 3
Volume of 3 sphere = 3 * 57.91
=173.73 [tex]cm^{3}[/tex]
Now , volume of shaded region = volume of cylinder - total volume of sphere
volume of shaded region = 286.67 - 173.73
=112.94 [tex]cm^{3}[/tex]
Simplify. 4 × (8 + 5) + 9 45 46 61 62
Answer:
61
Step-by-step explanation:
4 × (8 + 5) + 9
Parentheses first
4 × (13) + 9
Then multiply
52 +9
Then add
61
Train X traveled 216.6 kilometers in 38 minutes. How many miles per hour was it traveling?
Answer:
210 miles in 1 hour
Step-by-step explanation:
steps are in picture
If the sequence 2, 4, 6, 10, 16, ... were to follow the same pattern as the Fibonacci sequence, what are the next three terms?
Answer:
26, 42, 68
Step-by-step explanation:
In the Fibonacci sequence, each number is equal to the sum of the two previous numbers. Denoting the sequence as a, we can say that
a₁=2
a₂=4
a₃=6
a₄=10
a₅=16
What we can see here is that each number a₃ or above is equal to the sum of its two previous numbers. For example, a₃ = a₁+a₂ = 2 +4 = 6
Therefore,
a₆ = a₄+a₅ = 10+16 = 26
a₇ = a₅+a₆ = 16 + 26 = 42
a₈ = a₆+a₇ = 26 + 42 = 68
find the n^th root of z = -2i, n = 6
Answer:
2^(1/6) (cos(-pi/12)+i sin(-pi/12))
2^(1/6) (cos(3pi/12)+i sin(3pi/12))
2^(1/6) (cos(7pi/12)+i sin(7pi/12))
2^(1/6) (cos(11pi/12)+i sin(11pi/12))
2^(1/6) (cos(5pi/4)+i sin(5pi/4))
2^(1/6) (cos(19pi/12)+i sin(19pi/12))
Step-by-step explanation:
Let's convert to polar form.
-2i=2(cos(A)+i sin(A) )
There is no real part so cos(A) has to be zero and since we want -2 and we already have 2 then we need sin(A)=-1 so let's choose A=-pi/2.
So z=2(cos(-pi/2)+i sin(-pi/2)).
There are actually infinitely many ways we can write this polar form which we will need.
z=2(cos(-pi/2+2pi k)+i sin(-pi/2+2pi k))
where k is an integer
Now let's find the 6 6th roots or z.
2^(1/6) (cos(-pi/12+2pi k/6)+i sin(-pi/12+2pi k/6))
Reducing
2^(1/6) (cos(-pi/12+pi k/3)+i sin(-pi/12+pi k/3))
Plug in k=0,1,2,3,4,5 to find the 6 6th roots.
k=0:
2^(1/6) (cos(-pi/12+pi (0)/3)+i sin(-pi/12+pi (0)/3))
=2^(1/6) (cos(-pi/12)+i sin(-pi/12))
k=1:
2^(1/6) (cos(-pi/12+pi/3)+i sin(-pi/12+pi/3))
2^(1/6) (cos(3pi/12)+i sin(3pi/12))
k=2:
2^(1/6) (cos(-pi/12+2pi/3)+i sin(-pi/12+2pi/3))
2^(1/6) (cos(7pi/12)+i sin(7pi/12))
k=3:
2^(1/6) (cos(-pi/12+3pi/3)+i sin(-pi/12+3pi/3))
2^(1/6) (cos(11pi/12)+i sin(11pi/12))
k=4:
2^(1/6) (cos(-pi/12+4pi/3)+i sin(-pi/12+4pi/3))
2^(1/6) (cos(15pi/12)+i sin(15pi/12))
2^(1/6) (cos(5pi/4)+i sin(5pi/4))
k=5:
2^(1/6) (cos(-pi/12+5pi/3)+i sin(-pi/12+5pi/3))
2^(1/6) (cos(19pi/12)+i sin(19pi/12))
HELP PLEASEEEE!!!! ASAP
Answer:
6.22 sec
Step-by-step explanation:
h(t) = 105t-16t^2
For values of t for which height will be 34 feet can be obtained by substituting 34 in place of h(t) and solving for t
34=105t-16t^2, using quadratic formula we have t=1/32*(105±sqrt(8849)) which translates to - 0.34sec and 6.22sec but as time can't be negative, time is 6.22sec
Find the surface area of the figure and round your answer to the nearest tenth if necessary
Answer:
351.86
Step-by-step explanation:
the formula is
surface area=2πrh+2πr²
r= radius
h=height
40 dogs and parrots in total (dogs + parrots = 40 in total) theres 130 legs, how much dog and parrots are there (need steps)
Answer: There are 32 dogs and 1 Parrot
Step-by-step explanation: I had a question like this in a math class. What you first do is to recognize that- parrots have 2 legs and dogs have 4. We can do 130/2 = 65 and 130/4= 32.5. Now we know that if there was only one animal, there would be 65 parrots, and 32 dogs- one with half of the legs. Since there is a .5 for the dogs, if we put in one parrot, it would mean that there is exactly 130.
(32 x 4)+(2x1) = 130. There are 32 dogs and 1 Parrot. I hope this answer is ✅ and helps, i just joined the community and this is the first person I answered. Good Luck!!
Answer:
Step-by-step explanation:
To solve this, we need to list some equations. Letting variable d stand for dogs and p stand for parrots, we have:
d+p=40 (The number of dogs plus the number of parrots equals 40)
4d+2p=130 (Each dog has 4 legs and each parrot has 2 legs and they have 130 legs in total)
With this system of equations, we can quickly solve it for d and p.
Subtract:
4d+2p=130
- d+p=40
_________
3d+p=90,
p=90-3d
Substitution:
d+(90-3d)=40
90-2d=40
-2d=-50
d=25
Substitution to get p:
p+25=40
p=15
There you have it! There are 25 dogs and 15 parrots. To check our work,
25+15=40
4(25)+2(15)=100+30=130
I hope this helped! :)
Look at attachment down below. If can’t see let me know
Answer:
C and E
Step-by-step explanation:
C and E are the correct answer
A sample of 50 elements from a population with a standard deviation of 20 is selected. The sample mean is 150. The 90% confidence interval for is: a.165.0 to 185.0. b.146.4 to 153.6. c.145.3 to 154.7. d.171.8 to 188.2.
Answer:
c.145.3 to 154.7.
Step-by-step explanation:
We have to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a p-value of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.645\frac{20}{\sqrt{50}} = 4.7[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 150 - 4.7 = 145.3.
The upper end of the interval is the sample mean added to M. So it is 150 + 4.7 = 154.7.
Thus the correct answer is given by option c.
An entry in the Peach Festival Poster Contest must be rectangular and have an area of 1200 square inches. Furthermore, it's length must be 20 inches longer than it's width. Find the dimensions.
Answer:
The length is 46.05551275 inches, and the width is 26.05551275 inches.
Step-by-step explanation:
We know that the area must be 1200 square inches. Using this information, we can create an equation, where x is length and y is width:
x*y=1200
We know that its length must be 20 inches longer than its width. Therefore, x=y+20. Using this new information, we can replace 'x' in 'x*y=1200' with 'y+20':
(y+20)*y=1200
[tex]y^{2} +20y=1200[/tex]
[tex]y^{2} +20y-1200=0[/tex]
I have decided to use the quadratic formula, but you could also factor this equation into the 'intercept' form to determine the roots, which ultimately provides the same answer.
[tex]y=\frac{-b+\sqrt{b^{2} -4ac} }{2a}[/tex]
[tex]y=\frac{-(20)+\sqrt{(20)^{2} -4(1)(-1200)} }{2(1)}[/tex]
[tex]y=\frac{-(20)+\sqrt{400+4800} }{2}[/tex]
[tex]y=\frac{-(20)+\sqrt{5200} }{2}[/tex]
[tex]y=\frac{52.11102551 }{2}[/tex]
[tex]y=26.05551275[/tex] inches
[tex]x=y+20[/tex]
[tex]x=(26.05551275)+20[/tex]
[tex]x=46.05551275[/tex] inches
Therefore, the length is 46.05551275 inches, and the width is 26.05551275 inches.
ZA and ZB are supplementary angles. If m_A= (5x + 25)° and m
ZB = (3x + 19)°, then find the measure of ZB.
Answer:
B = 70
Step-by-step explanation:
Supplementary angles add to 180
5x+25 + 3x+19 = 180
Combine like terms
8x+ 44 =180
Subtract 44 from each side
8x+44-44 =180-44
8x= 136
Divide by 8
8x/8 = 136/8
x = 17
We want to find B
B = 3x+19 = 3(17)+19 = 51+19 = 70
It can be shown that the line with intercepts (a, 0) and (0, b) has the following equation:
x/a + y/b= 1, a ≠ 0, b ≠ 0.
Use this result to write an equation of the line.
Point on line:
(−2, 4)
x-intercept: (a, 0)
y-intercept: (0, a)
(a ≠ 0)
The equation of the straight line is [tex]x+y=2[/tex].
Given:
The line with intercepts (a,0) and (0,b) has the equation [tex]\frac{x}{a} +\frac{y}{b} =1, a\neq 0, b\neq 0[/tex] Point on the line: (-2, 4)x-intercept: (a, 0)y-intercept: (0, a)[tex]a\neq 0[/tex]To find: The equation of this line
It is given that a line with intercepts (a,0) and (0,b) has the equation [tex]\frac{x}{a} +\frac{y}{b} =1, a\neq 0, b\neq 0[/tex]
Now, it is given that the referred line has intercepts (a, 0) and (0, a). Then, using the above statement, the equation of this line can be written as,
[tex]\frac{x}{a} +\frac{y}{a}=1[/tex]. It is already given that [tex]a\neq 0[/tex]. So, we need not mention it again.
It is also given that the point (-2, 4) lies on this line. Then, the coordinates of this point must satisfy the equation of the line.
This implies that,
[tex]\frac{-2}{a} +\frac{4}{a} =1[/tex]
[tex]\frac{2}{a} =1[/tex]
[tex]a=2[/tex]
Now, put [tex]a=2[/tex] in the equation of the line, [tex]\frac{x}{a} +\frac{y}{a}=1[/tex] to get,
[tex]\frac{x}{2} +\frac{y}{2} =1[/tex]
[tex]x+y=2[/tex]
So, the equation of the line is [tex]x+y=2[/tex].
Learn more about equations of straight lines here:
https://brainly.com/question/18879008
Round the number to the given place value. 47,709,982; millions
Answer:
48,000,000
Step-by-step explanation:
47,709,982
Look at the millions place and then see if the number after that is a greater number than 4. If it isn't, round down but if it is, round up
Line L has a slope of 1/2 . The line through which of the following pair of points is perpendicular to L?
The line which crosses through L must have an intersect point with L to become perpendicular.
Gien slope is positive 1/2.
What is a straight line graph?The graph follows a straight line equation shows a straight line graph.equation of a straight line is y=mx+cy represents vertical line y-axis.x represents the horizontal line x-axis. m is the slope of the lineslope(m)=tan∅=y axis/x axis.
c represents y-intercepts (it is the point at which the line cuts on the y-axis)Straight line graphs show a linear relationship between the x and y values.
Learn more about the straight lines here:-https://brainly.com/question/14323743
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Jupiter orbits the sun at a rate of 8 miles per second. How far does Jupitertravel in one day? Tip: There are 86400 seconds in a day.
Answer:
Jupiter travels 691200 miles a day
Step-by-step explanation:
I just did 86400 x 8
Plz give brainliest
15 points work out ratio for x
Answer:
x = 25
Step-by-step explanation:
x : (x+10) = 5:7
Fractional form
x / x+10 = 5/7
Cross multiply:
x * 7 = (x+10) * 5
7x = 5x + 50
7x - 5x = 5x + 50 - 5x
2x = 50
x = 25
Check:
25 : 25 + 10
25 : 35
25/35 = 5/7
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Ram and his sister Kalpana win a prize of Rs 2000. They decide to share the prize in the ratio of their ages. Ram is 15 years old and Kalpana is 10 years old. How much do each of them receive
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Answer:
Ram -- ₹1200Kalpana -- ₹800Step-by-step explanation:
Their age total is 15+10=25, so Ram will get 15/25 = 0.6 of the total. Kalpana will get the remaining 0.4 of the total.
Ram receives 0.6 × ₹2000 = ₹1200
Kalpana receives 0.4 × ₹2000 = ₹800
Find the slope of the line containing the points (-2, -8) and (6,-4).
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Use the following formula:
slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (-2 , -8)\\(x_2 , y_2) = (6 , -4)[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 - (-8)}{6 - (-2)} = \frac{-4 + 8}{6 + 2} = \frac{4}{8}[/tex]
Simplify the slope:
[tex](\frac{4}{8} )/(\frac{4}{4}) = \frac{1}{2}[/tex]
[tex]\frac{1}{2}[/tex] is your answer.
