Answer:
[tex]d=1.61\times 10^{10}\ miles[/tex]
Step-by-step explanation:
Given that,
The speed of light, v = 300,000,000
eWe need to find the distance light travel in 1 day. We know that,
1 day = 86400 seconds
Distance = speed × time
So,
[tex]d=3\times 10^8\times 86400[/tex]
[tex]d=2.592\times 10^{13}\ m[/tex]
or
[tex]d=0.001610\times 10^{13}\\\\d=1.61\times 10^{-3}\times 10^{13}\\\\d=1.61\times 10^{10}\ miles[/tex]
So, the required distance is equal to [tex]1.61\times 10^{10}\ miles[/tex].
A wire is stretched from the top of a 12 ft pole to a point on the ground 9 feet from the base of the pole. Find the length of the wire.
Answer:
with 3 lenght
Step-by-step wexplanation:
(Need help ASAP, I’m taking a test) A researcher is 95% confident that the interval from 5.09 to 10.13 captures x = the true mean amount of
times models change clothes during a fashion shoot.
Is it plausible that the true mean number of times for all models to change clothes during a fashion shoot may
be 102
No, this is not a plausible value for the population mean, because 10 is within the 95% confidence interval
No, this is not a plausible value for the population mean, because 10 is not within the 9596 confidence
interval
Yes, this is a plausible value for the population mean, because 10 is within the 95% confidence interval
Yes, this is a plausible value for the population mean, because 10 is only a little bit above the upper
boundary of the 95% confidence interval.
Answer:
See below
Step-by-step explanation:
If a proposed value is outside the confidence interval, it is not a plausible value because the interval never catches it. So B is your best choice.
Answer:
C is correct
Step-by-step explanation:
how many ways can three people be selected from a group of seven people if order does matter
Answer:
210 ways
Step-by-step explanation:
Given
[tex]n = 7[/tex] --- total
[tex]r = 3[/tex] --- selection
Required
In how many ways can be selection be done
Since orders does matter, then it is permutation.
This is calculated as:
[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]
So, we have:
[tex]^7P_3 = \frac{7!}{(7-3)!}[/tex]
[tex]^7P_3 = \frac{7!}{4!}[/tex]
Solve each factorial
[tex]^7P_3 = \frac{7*6*5*4!}{4!}[/tex]
[tex]^7P_3 = 7*6*5[/tex]
[tex]^7P_3 = 210[/tex]
find the asymptotes, domain, range and end behavior and sketch the parent graph with the translated graph
Answer:
27) x = 2^(y) – 5.
Asymptote: x = -5.
D: x > -5; (-5, infinity).
R: -infinity < f(x) < infinity; ARN;
(-infinity, infinity).
x → -infinity, f(x) → -infinity.
x → +infinity, f(x) → +infinity.
________________________
28) x = 2^-(y–3).
Asymptote: x = 0.
D: x > 0; (0, infinity).
R: -infinity < f(x) < infinity; ARN;
(-infinity, infinity).
x → -infinity, f(x) → +infinity.
x → +infinity, f(x) → -infinity.
________________________
29) x = 4^(y–2) + 1.
Asymptote: x = 1.
D: x > 1; (1, infinity).
R: -infinity < f(x) < infinity; ARN;
(-infinity, infinity).
x → -infinity, f(x) → -infinity.
x → +infinity, f(x) → +infinity.
________________________
Tools
Fill &. Sign
Comment
I
Topic: Profit and Loss
Ex: 7a, page no. 92
cost price
12
Q1. A man purchased a dozen pens for Rs 25 each and sold them at Rs 28
each. Find the total profit as well as the profit per cent on the transaction.
Ans. Solution:
Answer:
RS 36
12%
Step-by-step explanation:
Profit = total selling price - cost price
(28 - 25) x 12 = 36
Percentage profit = (profit / cost price) x 100
Cost price = 25 x 12 = 300
(36/300) x 100 = 12%
Litter such as leaves falls to the forest floor, where the action of insects and bacteria initiates the decay process. Let A be the amount of litter present, in grams per square meter, as a function of time t in years. If the litter falls at a constant rate of L grams per square meter per year, and if it decays at a constant proportional rate of k per year, then the limiting value of A is R = L/k. For this exercise and the next, we suppose that at time t = 0, the forest floor is clear of litter.
Required:
If D is the difference between the limiting value and A, so that D = R - A, then D is an exponential function of time. Find the initial value of D in terms of R.
Answer:
D = L/k
Step-by-step explanation:
Since A represents the amount of litter present in grams per square meter as a function of time in years, the net rate of litter present is
dA/dt = in flow - out flow
Since litter falls at a constant rate of L grams per square meter per year, in flow = L
Since litter decays at a constant proportional rate of k per year, the total amount of litter decay per square meter per year is A × k = Ak = out flow
So,
dA/dt = in flow - out flow
dA/dt = L - Ak
Separating the variables, we have
dA/(L - Ak) = dt
Integrating, we have
∫-kdA/-k(L - Ak) = ∫dt
1/k∫-kdA/(L - Ak) = ∫dt
1/k㏑(L - Ak) = t + C
㏑(L - Ak) = kt + kC
㏑(L - Ak) = kt + C' (C' = kC)
taking exponents of both sides, we have
[tex]L - Ak = e^{kt + C'} \\L - Ak = e^{kt}e^{C'}\\L - Ak = C"e^{kt} (C" = e^{C'} )\\Ak = L - C"e^{kt}\\A = \frac{L}{k} - \frac{C"}{k} e^{kt}[/tex]
When t = 0, A(0) = 0 (since the forest floor is initially clear)
[tex]A = \frac{L}{k} - \frac{C"}{k} e^{kt}\\0 = \frac{L}{k} - \frac{C"}{k} e^{k0}\\0 = \frac{L}{k} - \frac{C"}{k} e^{0}\\\frac{L}{k} = \frac{C"}{k} \\C" = L[/tex]
[tex]A = \frac{L}{k} - \frac{L}{k} e^{kt}[/tex]
So, D = R - A =
[tex]D = \frac{L}{k} - \frac{L}{k} - \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{kt}[/tex]
when t = 0(at initial time), the initial value of D =
[tex]D = \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{k0}\\D = \frac{L}{k} e^{0}\\D = \frac{L}{k}[/tex]
dominic is buying candy by the pound for a party. for every 10 pounds of candy he buys, he pay $12. What is the cost of the candy, per pound, for the candy?
Answer:
12$
Step-by-step explanation:
Answer:
$1.20 per pound
Step-by-step explanation:
The reason for this answer is because you divide 10 by 10 so its 1 pound and whatever you do to the bottom you do to the top so you divide 12 by 10 which equals 1.2 aka $1.20
What is the factored form of 30x2 - 25x -30?
Answer:
Step-by-step explanation:
Here are some steps to help you
Step 1
30x2 - 25x -30 Factoring
Step 2
30x2 - 25x -30 factor out the equation
5(3x+2)(2x-3)
Step 3
5(3x+2)(2x-3) Check by simplifying
When you check, you will get the question back
Answer
5(3x+2)(2x-3)
Hope this helps
this is a nice question for 69 points (nice)
What's 34.5 x 2
A. 45
B. nice
C. 78
D. 50
Answer:
34.5 × 2 = 69
Step-by-step explanation:
pretty self explanatory
I am STRESSED. Please answer the following questions below that are HIGHLIGHTED.
Answer:
1.5 tons and 256 pounds OR 1 ton and 1256 pounds
Step-by-step explanation:
The results of a coin toss are shown.
What is P(heads)?
H T H H H T H T T H H T H T T T H H T H T T H H H H T H T T
A. 8/15. B.7/17. C.1/2. D3/5
Answer:
A is the answer!
Because that's reduced of 16/30
Volume of Prisms
1. A pool in the shape of a rectangular prism is being filled with water. The
length and width of the pool is 24 feet and 15 feet. If the height of the water
in the pool is 1 &1/3feet, what is the volume of the water in cubic feet?
Answer:
the answer is 480 cubic feet
Which of the following points are solutions to the equation 3x - 4y - 8 = 12?
Select all that apply.
(0-5)
(82)
(-16-17)
(-1,-8)
(-40,-34)
Sorry I did it wrong.
Answer:
(0, -5) and (-16, -17)
Step-by-step explanation:
You can plug in the points into the function to test them.
(0, -5)
3(0) - 4(-5) - 8 = 12
20 - 8 = 12
12 = 12
(8, 2)
3(8) - 4(2) - 8 = 12
24 - 8 - 8 = 12
8 ≠ 12
(-16, -17)
3(-16) - 4(-17) - 8 = 12
-48 + 68 - 8 = 12
12 = 12
3(-1) - 4(-8) - 8 = 12
-3 + 32 - 8 = 12
21 ≠ 12
3(-40) - 4(-34) - 8 = 12
-120 + 136 - 8 = 12
8 ≠ 12
A tour helicopter travels at a constant rate of 80 mph. If the tour takes 2 hours, how far does the helicopter travel?
A. 40 mi.
B. 80 mi.
C. 120 mi.
D. 160 mi.
Answer:
D
Step-by-step explanation:
80 miles per hour, each hour it will travel 80 miles so for two hours tou do
80 x 2 = 160
Answer:
D
Step-by-step explanation:
80x2=40
it's just simple multiplecation but then again I cant spell multiplication so I mean
Use the method of cylidrincal shells to find the volume of the solid generated by rotating the region bounded by the curves y=6x-2x^2 and y=x^2 about the y axis.
Find where the two curves intersect:
y = 6x - 2x ²
y = x ²
6x - 2x ² = x ² → 3x ² - 6x = 3x (x - 2) = 0 → x = 0 and x = 2
Now, for a shell of radius x units away from the axis of revolution, the height of the shell would be the vertical distance between the upper curve and the lower curve. For 0 ≤ x ≤ 2, we have 6x - x ² ≥ x ², so the height of any given shell is (6x - x ²) - x ² = 6x - 2x ².
Then volume of the solid is
[tex]\displaystyle 2\pi \int_0^2 x(6x-2x^2)\,\mathrm dx = 2\pi \left(2x^3-\frac{x^4}2\right)\bigg|_0^2 = \boxed{16\pi}[/tex]
Find the LCD of the following:
1. 3/8, 1/4, 5/12
2. 2/3,5/6, 7/9
Answer:
1. LCD= 24
2. LCD= 18
Can someone please help me
Answer: 120cm squared
Step-by-step explanation: To do this you can cut off one of the 'triangle ends' on the trapezoid and add it to the other side to make a rectangle. Since the top is 10cm, each triangle will have a base of 5cm, so the bases will be 15cm when you subtract 20-5. Then you just have 8 * 15 which is 120cm SQUARED. This may have been a little confusing so i attachecd a diagram.
Function f is differentiable and decreasing for all real numbers. If y=f(2x^3 - 3x^2), for which of the following intervals of x will the value of y NOT be decreasing?
Answer:
The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.The terai region extends from the chure range in the north to the border of India in the south.lt covers 17 percent of total land of Nepal .this terai region is mostly flat and plain with alluvial fertile deposited by the rivers . the climate of the reason is hot and wet in summer and cold and dry in winter.Terai also called the granary of Nepal as more than half percent of people of Nepal depend on the vegetation of Terai region. Terai is plain, where more cultivation is possible. Cultivation is impossible in mountain region due to difficult topography and temperate region and even in hilly region with lots of vegetation it's not possible due to slope area. Terai is only the possible region where much cultivation is possible. Different kinds of vegetation, valuable medicinal herbs, important trees, etc. are found in Terai region. So, Terai region is called the granary of Nepal.
PLS HELP
Find the volume.
Answer:
V= 160 ft
Step-by-step explanation:
First 10×8×6 then ÷ 3 = 160
Does anybody know the answer to this question
Answer:
A
Step-by-step explanation:
de una bolsa donde hay veinte bolas numeradas del 1 al 20 extraemos una, A: obtener un número par , B: obtener número primo, C: obtener un número tal que su suma de cifras sea 5,
a) comprobar que cumplan con las propiedades asociativa y distributiva en los sucesos, b) comprobar que se cumplan con las propiedades de las leyes de morgan entre los sucesos AyC , ByC, AyB , c) efectúa las siguientes operaciones en los sucesos unión entre AB, BC, AB, intersección entre AB,BC, AB, diferenciación entre AB, BA, CA, AC,
(4x-1)2=11
whats the solution
Answer:
x = 13/8
Step-by-step explanation:
(4x−1)(2)=11
Simplify both sides of the equation.
(4x−1)(2)=11
(4x)(2)+(−1)(2)=11 (Distribute)
8x+−2=118x+−2=11
8x−2=11
Add 2 to both sides.
8x−2+2=11+2
8x=13
Divide both sides by 8.
8x/8 = 13/8
which brings you to the answer of
x = 13/8
(Note:If this was a little confusing,feel free to ask me any questions revolving around this topic)
Through extensive data collection, quality control experts have verified that the true mean weight of a wrapped Starburst candy is 5.1 grams, as advertised on the package. However, in a class activity where you selected and weighed 8 wrapped Starburst candies you obtained a p-value of 0.003 and concluded that the true mean weight of Starburst candies is not as advertised. What type of error was potentially made in this hypothesis test
Answer:
Type 1 error.
Step-by-step explanation:
H0 : μ = 5.1
H1 : μ ≠ 5.1
The Pvalue of the test = 0.003
Decision made by the researcher was conclude that mean weight is not as advertised, that is the researcher rejected the Null hypothesis.
However, when the Pvalue is < α - value , we reject the null ; The type of error the researcher could have made is that ; The mean weight may be truly as advertised, Hence, leading us to make a false positive error, thus is rejecting a true null. This is a TYPE 1 error.
Can someone help me with this question plz show work.
Answer:
d
Step-by-step explanation:
V=whl=3·4·6=72
D. 6*4*6≠72
Answer:
D 6x6x4
Step-by-step explanation:
the dimensions are 3x6x4 so 6x6x4 is not the volume of this rectangular prism
The sum of 3 consecutive even numbers is 78.
What is the second number in this sequence?
Answer: 10
Step-by-step explanation: 8+10+60=78
IF A FUNCTION f(x) is defined AS 5x^2-3x+3, what is the expression for
Answer: C. 10x-3
Step-by-step explanation: I got this question correct on Edmentum.
The value of the expression will be 10x – 3. Then the correct option is C.
What is the limit?The value that approaches the output for the given input value. Limits are a very important tool in calculus.
The function is defined as,
f(x) = 5x² – 3x + 2
Then the value of the expression will be
[tex]\rightarrow \displaystyle \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}[/tex]
Substitute the value of the function, then the value of the expression will be
[tex]\rightarrow \displaystyle \lim_{h \to 0} \dfrac{5(x+h)^2 - 3(x + h) + 3- 5x^2 + 3x - 3}{h}\\\\\\\rightarrow \displaystyle \lim_{h \to 0} \dfrac{5x^2 + 5h^2 + 10xh - 3x - 3h + 3- 5x^2 + 3x - 3}{h}\\\\\\\rightarrow \displaystyle \lim_{h \to 0} \dfrac{ 5h^2 + 10xh - 3h }{h}\\[/tex]
Simplify the equation further, then we have
[tex]\rightarrow \displaystyle \lim_{h \to 0} 5h + 10x - 3 \\[/tex]
Substitute the value of the h = 0, then the value of the expression will be
⇒ 5(0) + 10x – 3
⇒ 10x – 3
Then the correct option is C.
More about the limit link is given below.
https://brainly.com/question/8533149
#SPJ2
A store pay $120 for a bicycle. The store has a 60% markup policy. What is the selling price of the bicycle?
Answer:
$192
Step-by-step explanation:
A lab technician is tested for her consistency by making multiple measurements of the cholesterol level in one blood sample. The target precision is a standard deviation of 1.1 mg/dL or less. If 20 measurements are taken and the standard deviation is 1.6 mg/dL, is there enough evidence to support the claim that her standard deviation is greater than the target, at α = 0.01?
Answer:
We Do not have enough evidence
Step-by-step explanation:
H0 : σ² ≤ 1.1
H0 : σ² > 1.1
The test statistic (X²) :
χ² = [(n - 1) × s²] ÷ σ²
n = sample size, = 20
s² = 1.6
σ² = 1.1
α = 0.01
χ² = (19 * 1.6) / 1.1
χ² = 27.64
Pvalue :
Using the Pvalue from Chisquare score calculator ; χ² = 27.64 ; df = 19
Pvalue = 0.091
If Pvalue < α ; Reject H0
0.091 > 0.01
Hence, Pvalue > α ; Thus we fail to reject H0.
We thus conclude that, we do not have enough evidence to support the claim that her standard deviation is greater than the target.
If triangle ABC has the following angle measurements, what is the measure of Angle A, Angle B, and Angle C?
m\angle A=7x-12m∠A=7x−12
m\angle B=8x+20m∠B=8x+20
m\angle C=5x+8m∠C=5x+8
m∠A=
m∠B=
m∠C=
the answer for this equation is 499 + 199 equals 599
The Diagram below shows rectangle PLUM find the area of PLUM if entering answer as a decimal, round your final answer to the nearest hundredth. Please Help!
Answer:
75 Units
Step-by-step explanation:
i got this on khan :)
