Answer:
12 times
Step-by-step explanation:
Earth-Moon (EM) = 12⁵ miles
Sun-Mercury (SM) = 12⁷ miles
Sun-Jupiter (SJ) = 12⁸ miles
just FYI, these numbers are only a rough simplification for this example. the real distance are quite a bit different.
so, SJ/SM = 12⁸ / 12⁷ = 12¹ = 12
=> Jupiter is 12 times farther away from the Sun than Mercury.
12 times greater is the distance from the Sun to Jupiter than the distance from the Sun to Mercury.
What is distance?Distance is the total movement of an object without any regard to direction.
Given:
Earth-Moon = 12⁵ miles
Sun-Mercury = 12⁷ miles
Sun-Jupiter = 12⁸ miles
so,
Sun-Jupiter/Sun-Mercury
= 12⁸ / 12⁷
= 12¹
= 12
Hence, Jupiter is 12 times farther away from the Sun than Mercury.
Learn more distance here:
https://brainly.com/question/15172156
#SPJ2
You need 333 sticks of butter for every 242424 cookies you bake.
Complete the table using equivalent ratios.
Answer:
1/728
Step-by-step explanation:
333/242424 =
1/728
find the absolute maximum and the absolute minimum of the given function on the given interval f(x)=xe^x/2 on [-3,1]
Answer:
View the graph for a visual
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]f(x)=xe^{\frac{x}{2} } \\f'(x)=x*\frac{1}{2} e^{\frac{x}{2} } +e^{\frac{x}{2} } =e^{\frac{x}{2} } (\frac{x}{2} +1)\\[/tex]
f'(x)=0, gives x=-2
we find f(x) at x=-3,-2,1
f(-3)=-3e^(-3/2)≈-0.67
f(-2)=-2e^(-2/2)=-2e^{-1}=-2/e≈-0.74
f(1)=1 e^(1/2)=√e≈1.65
The dot plot below shows 6 data points with a mean of 16. 12 13 14 15 16 20 What is the absolute deviation at 19? 03 04 7 8
Answer:
The absolute deviation at 19 is 3.
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
|19-16|=3
subtract mean from expected value
Roulette is a casino game that involves spinning a ball on a wheel that is marked with numbered squares that are red, black, or green. Half of the numbers 1 - 36 are colored red and half are black and the numbers 0 and 00 are green. Each number occurs only once on the wheel. What is the probability of landing on an number greater than 12?
Answer:
.6315 or 63.15%
Step-by-step explanation:
not sure if the question is trying to be tricky, but there are 0 and 00 which makes a total of 38 numbers on the wheel (and they are less than 12)
24/38 = .6315
if you have one kilogram=2.2 pounds does a 3 kilogram roast beef weight more or less than 6 pounds
REFERENCE: LESSON 8 TO 12.
1.
Simplify the ratios 52 : 39
(1 mark)
Answer:
2.
Simplify 4/16:23
(1 mark)
Answer:
(1 mark)
3.
Express the ratio 8 : 56 in the form 1:n
Answer:
(1 mark)
4.
Solve for the unknown in the given proportion.
Answer:
(1 mark)
5.
Express the ratio 40 cm: 5 m in the form m:n.
Answer:
Answer:
Step-by-step explanation:
1. 52:39
Divide both sides by 13:
= 4:3.
2. 4/16 : 23
= 1/4 : 23
= 1 :92.
3. 8:56
= 1:7.
4. ?
5. 40 cm 5 m
= 40 : 500
= 4:50
= 2:25.
Identify a transformation of the function f(x)=|x| by observing the equation of the function g(x)=|x|+4.
Answer:
its 9 plus 9 and equals 19.0
How many solutions exist for the given equation?
1/2(x + 12) = 4x -1
•
zero
one
two
infinitely many
Answer:
one
[tex] \frac{1}{2} (x + 12) = 4x - 1 \\ x + 12 = 8x - 2 \\ 7x = 14 \\ x = 2[/tex]
1 What is the solution to the inequality
12x < 264?
A x > 22
B x < 22
C x < 252
D x > 252
Answer:
x < 22
Step-by-step explanation:
12x < 264
Divide each side by 12
12x/12 < 264/12
x < 22
Given that,
12x < 264
Not we can divide each side by 12,
→ 12x/12 < 264/12
→ x < 22
So, option (B) is correct answer.
What equation should they enter into the distometer?
Answer:
92
Step-by-step explanation:
[tex]d = rt[/tex]
[tex]2r = 184[/tex]
[tex]r = \frac{184}{2} = 92[/tex]
Just to check the answer:
[tex]r = \frac{276}{3} = 92[/tex]
[tex]r = \frac{368}{4} = 92[/tex]
Find the distance between the two points in simplest radical form HELP
Given:
The two points on the graph.
To find:
The distance between the two points in simplest radical form.
Solution:
From the given graph, it is clear that the two points on the graph are (-9,3) and (-3,-2).
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the distance formula, the distance between two points (-9,3) and (-3,-2) is:
[tex]d=\sqrt{(-3-(-9))^2+(-2-3)^2}[/tex]
[tex]d=\sqrt{(-3+9)^2+(-5)^2}[/tex]
[tex]d=\sqrt{(6)^2+(-5)^2}[/tex]
On further simplification, we get
[tex]d=\sqrt{36+25}[/tex]
[tex]d=\sqrt{61}[/tex]
Therefore, the distance between the given points is [tex]\sqrt{61}[/tex] units.
will mark as brainliest:
give the equation of the given graph
Answer:
Step-by-step explanation:
y = A sin(B(x + C)) + D
amplitude is A = (5 - -1)/2 = 3
period is 2π/B = 4 ==> B = .5π
phase shift is C (positive is to the left) = 0
vertical shift is D = 2
-------------------------
y = 3sin(.5πx) + 2
Answer:
Step-by-step explanation:
In the image you can see the amplitude is 6/2=3
also you can see that the curve is shifted upwards 2 units
regarding to the frequency of the function, we can notice the it has a period of 4
[tex]w=\frac{2\pi}{\Gamma}=\frac{2\pi}{4}=\frac{\pi}{2}[/tex]
finally, the equation will be:
[tex]f(x)=2+3sin(\frac{\pi}{2}x)[/tex]
See the full equation on the attached image
A redundant constraint is one which Group of answer choices is added after the problem is already formulated. can only increase the objective function value. is parallel to the level curve. plays no role in determining the feasible region of the problem.
Answer:
Plays no role in determining the feasible region of the problem.
Step-by-step explanation:
A Constraints
These are refered to as the restrictions that hinders or reduces the extent to which the/an objective can be worked on/pursued.
A redundant constraint
These are constraints that can be ignored from a system of linear constraints. It is often refered to as an Implied constraints. That is, they are implied by the constraints that surrounds (totality of) the problem.
This is a type of constraint that is not influenced or affected by the feasible region.
Its qualities includes
1. It does not hinders the optimal solution.
2. It also do not hinders the feasible region.
3. It is easily known with the use of graphical solution method
The slope of the line below is -3. Which of the following is the point-slope
form of the line?
-5
5
• (2,-2)
Given:
The slope of the line is -3.
The line passes through the point (2,-2).
To find:
The point-slope form of the line.
Solution:
Point slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the point-slope form of the line is:
[tex]y-y_1=m(x-x_1)[/tex]
The slope of the line is -3 and it passes through the point (2,-2). So, the point-slope form of the line is:
[tex]y-(-2)=-3(x-2)[/tex]
[tex]y+2=-3(x-2)[/tex]
Therefore, the required point slope form of the given line is [tex]y+2=-3(x-2)[/tex].
Free Branliest Quick and Correct!
What is the true meaning of absolute value?
Answer:
Change the value from negative to positive
Or
Change the value from positive to positive
Step-by-step explanation:
It is very simple
Any number's absolute value should be positive
Let's say absolute value of 3 - >answer is 3
But absolute value of - 3 - > is also 3
Hope you understood it.
Answer:
In math students think that the function just removes negative signs, and actually that is basically what happens...
BUT !!! the definition that you want is that absolute value is a measure of how far (distance) you are from ZERO.... and note that distances are not negative...
If you run out of gas one mile in front of behind a gas station, you have to travel "one mile" you don't walk "negative one mile"...
forward one mile or backward one mile are both "one mile" just in different directions
Step-by-step explanation:
Which of the following sets represents the range of the diagram.
Answer:
{3, 5, 7}
Step-by-step explanation:
From our knowledge of mapping, the domain is mapped to a range as given in the diagram above, the first set given is the domain while the seet which the arrow points to is the range, therefore, in simple terms, the range of the diagram given is the set {3 5, 7}
What is the end behavior of the graph of the polynomial function f(x)= 3x^6+30x^5+ 75x^4
9514 1404 393
Answer:
f(x) → ∞ as |x| → ∞
Step-by-step explanation:
The degree is even and the leading coefficient is positive. When the magnitude of x gets large (either positive or negative), the value of f(x) will be a large positive number.
f(x) → ∞ as |x| → ∞
SOMEONE HELP ME PLEASE
Answer:
x should be 9.
Step-by-step explanation:
y was multiplied by 3 (7 x 3 = 21), so multiply the value of x by 3 as well to get 9.
What is the slope of the line?
-3
Step-by-step explanation:
it is -3 because the line touches -3 on the y-intercept
A study indicates that teenagers spend an average of 112 minutes watching videos on their smartphones per week. Assume the distribution is normal, with a standard deviation of 12 minutes. What is the probability that a teenager spends less than 90 minutes watching videos on their phone per week
Answer:
0.0336 = 3.36% probability that a teenager spends less than 90 minutes watching videos on their phone per week.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A study indicates that teenagers spend an average of 112 minutes watching videos on their smartphones per week. Assume the distribution is normal, with a standard deviation of 12 minutes.
This means that [tex]\mu = 112, \sigma = 12[/tex]
What is the probability that a teenager spends less than 90 minutes watching videos on their phone per week?
This is the p-value of Z when X = 90. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{90 - 112}{12}[/tex]
[tex]Z = -1.83[/tex]
[tex]Z = -1.83[/tex] has a p-value of 0.0336
0.0336 = 3.36% probability that a teenager spends less than 90 minutes watching videos on their phone per week.
2. My wife and I are racing around a 400m track going opposite directions. I am
running at 8 m/s and she has a head start of 50 meters running at 5m/s, how long
does it take for us to reach the same point.
In 2000, an estimated 7.7 x 10^7 spoke French as their first language and an estimated 1 x 10^8 people spoke German as their first language. In 2000, which language had more speakers?
Answer:
German
Step-by-step explanation:
Given :
Number of people who spoke French as first language in 2000 = 7.7 * 10^7 ; in standard form ;
7.7 * 10^7 = 7.7 * (10 * 10* 10 * 10* 10* 10 * 10) = 77,000,000 = 77 million
Number of people who spoke German as first language in 2000 = 1 * 10^8 ; in standard form ;
1 * 10^8 = 1 * (10 * 10* 10 * 10* 10* 10 * 10 * 10) = 100,000,000 = 100 million
German had more speakers
Simplify the expression below
Answer:
[tex]3\sqrt{10}[/tex]
Step-by-step explanation:
Complete the input-output table for the function y = 3x.
Input-Output table
Answer:
Y: 0, x:0
Y:1, x: 3
Y: 2, x: 6
Y: 3, x:9
Step-by-step explanation:
Plug in the x to get the y
some banks charge a fee on savings account that are left inactive for an extended period of time. the equation y=5000(0.98)^x represents the value, u of one account that was left inactive for a period of x years. what is the y-intercept of this equation, and what does it represent?
a. 0.98 the percent of money in the account initially?
b. 0.98, the percent of money in the account after x years
c. 5000, the account of money in the account initially
d. 5000, the amount of money in the account after x years
Answer:
it gotta be d cause i went with my instinct.
Step-by-step explanation:
solve write it out.
what is x+54 +3x+28+90 I really need help
Answer:
4x+172
Step-by-step explanation:
x+54 +3x+28+90
Combine like terms
x+3x + 54+28+90
4x + 172
Answer:
[tex] \large \sf \fbox{4x - 172}[/tex]
Step-by-step explanation:
➛ x + 54 + 3 x + 28 + 90
combine like terms
➛ x + 3 x + 54 + 28 + 90
➛ 4 x + 172
simplify 2 X + 1
whole cube
Answer:
So, After simplify : [tex](2x+1)^3=8x^3+12x^2+6x+1[/tex]
Step-by-step explanation:
Given question :
[tex](2x+1)^3[/tex]
Now,
Applying this formula
[tex](a+b)^3=a^3+b^3+3ab(a+b)[/tex]
So,
[tex](2x+1)^3=(2x)^3+1^3+3(2x)(1)(2x+1)\\\\ (2x+1)^3 =8x^3+1+6x(2x+1)\\\\ ( 2x+1)^3 =8x^3+1+12x^2+6x\\ (2x+1)^3 =8x^3+12x^2+6x+1[/tex]
Answer:
3x 0r 2x1
Step-by-step explanation:
Currently stuck on this problem. Can someone help me solve this? I don’t understand.
Step-by-step explanation:
the correct one is a = (-b)/2
im not sure how to go about this one. any help is appreciated
Answer:
The inequality that represents the graph is:
[tex]y\leq \frac{2}{3}x+2[/tex]
Step-by-step explanation:
First of all, we need to get the equation of the linear function. We need to choose two points using the graph.
The first point would be (-3,0)
The second point would be (6,1)
The equation of a line is:
[tex]y=mx+b[/tex]
m is the slope and can be calculated using the points chossen.
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]m=\frac{1+3}{6-0}[/tex]
[tex]m=\frac{4}{6}[/tex]
[tex]m=\frac{2}{3}[/tex]
Now, using one point we will find the b value. Let's chose (-3,0)
[tex]0=m(-3)+b[/tex]
[tex]0=(\frac{2}{3})(-3)+b[/tex]
[tex]0=-2+b[/tex]
[tex]b=2[/tex]
Then, the linear equation is:
[tex]y=\frac{2}{3}x+2[/tex]
Now, all the allowed values are below the function, therefore the inequality will be:
[tex]y\leq \frac{2}{3}x+2[/tex]
I hope it helps you!
