Answers
Answer:
\( \boxed{g = 0.0278}\)
Step-by-step explanation:
\( \boxed{question \: 3.} \\ \frac{2}{3} = 5 \sqrt{g} - \frac{1}{6} \\ 4= 30 \sqrt{g } - 1 \\ 30 \sqrt{g} = 5 \\ \sqrt{g} = \frac{5}{30} \\ g = \frac{ {5}^{2} }{ {30}^{2} } = \frac{25}{900} \\ g = \frac{1}{36} = 0.0277777778 \\ \boxed{ g = 0.0277777778}\)
♨Rage♨
Related Questions
The ratio of boys to girls in Jamal's class is 3:2. If four more girls join the class, there will be the same number of boys and girls. What is the number of boys in the class?
Answers
Answer:
12 boys
Step-by-step explanation:
From the above question:
Number of boys = 3
Number of girls = 2
Boys: Girls
3:2
Let :
a = boys
b = girls
Hence, a : b = 3 : 2
a/b = 3/2
Cross Multiply
2a = 3b .......... Equation 1
a = 3b/2
If four more girls join the class, there will be the same number of boys and girls
Hence,
a: b + 4 = 3 : 3
a/b + 4 = 3/3
Cross Multiply
3a = 3(b + 4)
3a = 3b + 12 ........ Equation (2)
From Equation 1: a = 3b/2
Substitute 3b/2 for a in Equation 2 we have:
3a = 3b + 12 .........Equation 2
3(3b/2) = 3b + 12
9b/2 = 3b + 12
Cross Multiply
9b = 2(3b + 12)
9b= 6b + 24
9b - 6b = 24
3b = 24
b = 8
Substitute 8 for b in Equation 1
a = 3b/2
a = 3 × 8/2
a = 24/2
a = 12
Therefore, the number of boys in the class is 12
Find the smallest positive integer k such that, for every positive integer n, 6n+k is relatively prime to each of 6n+3, 6n+2, and 6n+1.
Answers
Answer:
Use Mathpapa to find your answer.
Step-by-step explanation:
It's a good, and powerful program.
Almanah is baking cookies. She has a bag that contains 300 cookies. If she wants to bake a batch of 40 cookies with 6 chocolate chips in each, will she have enough chocolate chips?
Answers
Answer:
Did you mean she has a bag that contains 300 chips? if so yes.
Step-by-step explanation:
If each cookie gets 6 chips and she makes 40 cookies, you can use multiplication to see.
6*40=240
She has plenty, 60, of chocolate chips left over
WHICH INEQUILITY IS EQUIVALENT TO X-4<9
Answers
Answer:
x < 13
Step-by-step explanation:
We start with the given inequality:
x - 4 < 9
Now the first thing to realize is that we can add the same number to both sides of the inequality and it remains unchanged.
we add 4 to both sides of the inequality to isolate the x on the left side of the inequality.
x - 4 + 4 < 9 + 4
x < 13
-------------------------------------------------------------------------------------------------------------
Answer: \(\textsf{x} < \textsf{13}\)
-------------------------------------------------------------------------------------------------------------
Given: \(\textsf{x - 4} < \textsf{9}\)
Find: \(\textsf{The simplified inequality}\)
Solution: In order to simplify the inequality we can simply add 4 to both sides which would isolate x.
Add 4 to both sides
\(\textsf{x - 4 + 4} < \textsf{9 + 4}\)\(\textsf{x} < \textsf{9 + 4}\)\(\textsf{x} < \textsf{13}\)Therefore, an inequality that would be equivalent to the one that was provided in the problem statement is x < 13.
help with this geometry please!
no fake answers :)
Answers
The value of x in the given set triangles are:
1) x=17.5
2) x=48
3) x= 8
4) 24.5
5) x=11
6) x=9
What is Triangle Proportionality Theorem?
If a line parallel to one side of a triangle contacts the other two sides of the triangle, the line proportionally splits these two sides.
1) According to Triangle Proportionality Theorem,
from given fig 1,
\(\frac{14}{12} =\frac{x}{15} \\\\\frac{7}{6} =\frac{x}{15} \\\\x= 17.5\)
2) From fig 2,
\(\frac{x}{18} =\frac{56}{21} \\\\x=48\)
3) From fig 3,
\(\frac{x}{36} =\frac{10}{45} \\\\\frac{x}{36} =\frac{2}{9} \\\\x=8\)
4) From fig 4,
\(\frac{6}{21}=\frac{7}{x} \\\\6x=7*21\\\\x=24.5\)
5) From fig 5,
\(\frac{30}{x+7} =\frac{25}{15} \\\\\frac{30}{x+7} =\frac{5}{3} \\\\x=11\)
6) From fig 6,
\(\frac{6}{21}=\frac{x-1}{3x+1} \\\\ 18xx+6=21x-21\\\\3x=27\\\\x=9\)
To know more about Triangle Proportionality Theorem visit,
https://brainly.com/question/8160153
#SPJ1
If the slope of a line is -1 and two points on the line are (-9, 3) and (-10, r), what is the value of r?
Answers
Answer:
\(r=4\)
Step-by-step explanation:
We know that the slope of the line is -1.
We also know that the line passes through (-9, 3) and (-10, r).
We want to find the value of r.
First, let's figure out the equation of our line. We can use the point-slope form:
\(y-y_1=m(x-x_1)\)
Where m is the slope and (x₁, y₁) is a point.
So, let's substitute -1 for m. Since we know the point (-9, 3), let's use this for (x₁, y₁).
Substitute:
\(y-(3)=-1(x-(-9))\)
Simplify:
\(y-3=-(x+9)\)
Distribute:
\(y-3=-x-9\)
Add 3 to both sides. So, our equation is:
\(y=-x-6\)
It passes through (-10, r) and we want to find the value of r. So, let's substitute -10 for x and r for y, since -10 is our x and r is our y. So:
\(r=-(-10)-6\)
Evaluate for r. Distribute:
\(r=10-6\)
Subtract:
\(r=4\)
So, the value of r is 4.
And we're done!
What is the equation of the following line written in slope-intercept form? Oy=-3/2x-9/2
Oy=-2/3x+9/2
Oy=3/2x-9/2
Answers
The equation of the line in slope-intercept form is: C. y = -3/2x - 9/2
How to Write the Equation of a Line?If we determine the slope value, m, and the y-intercept value of the line, b, we can write the equation of a line in slope-intercept form as y = mx + b by substituting the values.
Slope of a line (m) = change in y / change in x.
y-intercept of a line is the point on the y-axis where the value of x = 0, and the line cuts the y-axis.
Slope of the line in the diagram, m = -3/2
y-intercept of the line, b = -9/2.
Substitute m = -3/2 and b = -9/2 into y = mx + b:
y = -3/2x - 9/2 [equation in slope-intercept form]
Learn more about slope-intercept form on:
https://brainly.com/question/1884491
#SPJ1
Which value should be added to this data set to produce a mean of 13?
should be added to the data set to produce a mean of 13.
Answers
,Answer:
18
Step-by-step explanation:
edg 2021, i got this question correct, please mark me brainliest, I hope this helps, sorry for the late reply
Solve for x.
-x/3= 2
A.x = -6
B.x = 6
C.x = -1
Answers
Answer:
I thinK b dont blame me if wrong
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
The answer is negative 6.
What the meaning of "f is order-preserving if x < y implies f(x) < f(y)"?
Answers
An order-preserving function is a function that preserves the order of its inputs. In other words, if x is less than y, then f(x) will be less than f(y).
The statement "f is order-preserving if x < y implies f(x) < f(y)" means that if x is less than y, then f(x) must be less than f(y). This is a necessary condition for a function to be order-preserving. However, it is not a sufficient condition. For example, the function f(x) = x^2 is not order-preserving, because 2 < 3, but f(2) = 4 > f(3) = 9.
In summary, order-preserving functions are useful in situations where we need to preserve the order of a set of data.
Learn more on functions:https://brainly.com/question/11624077
#SPJ1
helpppp helppppp helppppp
Answers
Answer:
No, i do not believe i have learned this yet so good luck bestiee
Solve |x + 7| < 6
A)
–13 < x < –1
B)
–1 < x < –13
C)
–13 < x and x > –1
D)
–13 < x or x < –1
Answers
Answer:
A) - 13 < x < - 1
Step-by-step explanation:
1) Rewrite the inequality without the absolute value.
\( - 6 < x + 7 < 6\)
2) Subtract 7 from the whole equation.
\( - 6 - 7 < x < 6 - 7\)
3) Simplify.
\( - 13 < x < - 1\)
Therefor, the answer is the first option.
Answer:
A) –13 < x < –1
Step-by-step explanation:
|x + 7| < 6
Separate into possible cases
\(x + 7 < 6 \\x +7 \geq 0\)
Solve the inequalities
\(x < - 1, x \geq -7\\x > -13, x < -7\)
Find the intersections
\(x = (-7, -1)\\x = (-13, -7)\)
Find the union
Answer: A) –13 < x < –1
A body is moving in simple harmonic motion with position function
s(t)= 4 + 5 cos t
Find the body’s velocity at t= 2π/3
Answers
The velocity of the body under simple harmonic motion is equal to - 5√3 / 2. (Correct choice: B)
How to find the velocity of a body under simple harmonic motion
Simple harmonic motion is a kind of self-sustained periodic motion that observed the following formula:
y = y' + Δy · cos ωt (1)
Where:
y' - Initial positionΔy - Amplitudeω - Angular frequency.t - TimeThe equation for the velocity of the body in simple harmonic motion is found differentiating (1):
v = - ω · Δy · sin ωt (2)
If we know that ω = 1, t = 2π / 3 and Δt = 5, then the velocity of the body is:
v = - 1 · 5 · sin (2π / 3)
v = - 5 · sin (2π / 3)
v = - 5 · √3 / 2
v = - 5√3 / 2
The velocity is equal to - 5√3 / 2.
To learn more on simple harmonic motion: https://brainly.com/question/2195012
#SPJ1
Solve the equation.
x(4x−11)=15
Answers
+11 +11
5x=26
/5 /5
x=5.2
hope this helps :)
1) 3 ± 4 2 5 Which number in the expression is a factor? A) 2 B) 3 C) 4 D) 5
Answers
Answer:
4
Step-by-step explanation:
because you can do 2x2=4 amnd 1x4=4 bnut u cant for the others.
Find the GCF of 35x^5y and 42x^5y^3.
Answers
Answer:
x^5y
Step-by-step explanation:
To find the greatest common factor (GCF) of 35x^5y and 42x^5y^3, we need to find the largest expression that divides into both of these polynomials.
The common factor in both of these polynomials is x^5y, which is the GCF. So, the GCF of 35x^5y and 42x^5y^3 is x^5y.
A machine that manufactures automobile pistons is estimated to produce a defective piston 3% of the time. Suppose that this estimate is correct and that a random sample of 80 pistons produced by this machine is taken.
(a) Estimate the number of pistons in the sample that are defective by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable).
Do not round your response. (b) Quantify the uncertainty of your estimate by giving the standard deviation of the distribution.
Round your response to at least three decimal places
Answers
(a) The mean of the relevant distribution is 2.4 defective pistons.
(b) The standard deviation of the distribution is 1.539.
The mean of the relevant distribution is the expected number of defective pistons that we would expect to get from a sample of 80 pistons produced by this machine. The mean is calculated by multiplying the probability of a defective piston (3%) with the number of pistons in the sample (80). In this case, the mean is 2.4 defective pistons. The standard deviation of the distribution quantifies the uncertainty of our estimate. It is calculated by taking the square root of the variance, which is the expected value of the squared differences between the number of defective pistons in the sample and the mean. In this case, the standard deviation is 1.539. This means that, in theory, we would expect 68% of the samples to contain between 0.861 and 4.139 defective pistons.
Learn more about standard deviation here
https://brainly.com/question/13905583
#SPJ4
In a certain city it was recorded that 15 1/5 inches of rain fell over a 24 hour period how much rain fell per hour on average
Answers
Another method could be to set it up as a proportion, then
10.2 inches = x inches the answer comes out the same of course
2. Which numbers are divisible by 3?
36
525
73
795
317
84
Answers
Answer:
36, 525, 795, and 84
Step-by-step explanation:
36/3=12
525/3=175
795/3= 265
84/3=28
Find the value of x. Then find the length of the segment or angle indicated.
8x-27 6x+1
Answers
Answer:
58
Step-by-step explanation:
Which choices are equivalent to the expression below?
Check all that apply.
Answers
The equivalent choices to the expression (2/5)² is 4/25.
To simplify the expression (2/5)², we can square both the numerator and the denominator:
Or we can use the property of exponents as
(a/b)ⁿ = aⁿ / bⁿ
=(2/5)²
= (2²) / (5²)
= 4/25
Therefore, the equivalent choices to the expression (2/5)² are: 4/25
Learn more about Exponents and power here:
https://brainly.com/question/28515493
#SPJ1
Pls help , this is khan academy if u don’t know . I have home school
Answers
show full work, get brainiest answer
Answers
Answer:
x=5
Step-by-step explanation:
3x+7-x+6=23
3x-x=23-6-7
3x-x=23-13
3x-x=10
2x=10
x=5
Step-by-step explanation:
aaass5sdtxycycets4sxyxucs
water cost $2 for 8 bottles orange juice cost a $1.50 for 3 bottles which is more expensive per bottle
Answers
2:8 = 2/8
1.5:3 = 1.5/3
(2/8)3 = 6/24 or $6 per 24 bottles
(1.5/3)8 = 12/24 or $12 per 24 bottles
In conclusion, the latter ($1.50 for 3) costs more than the $2 per 8.
Answer:
orange juice
Step-by-step explanation:
1 water -> 2÷8
= 0.25
1 orange juice ->1.50 ÷ 3
= 0.50
hence, orange juice is more expensive
A rectangular prism is filled exactly with 605 cubes. Each cube has edge length 1/5 cm.
What is the volume of the rectangular prism?
Answers
The volume of the rectangular prism is 4.84 cm cube.
How to find the volume of the rectangular prism?A rectangular prism is filled exactly with 605 cubes. Each cube has edge
length 1 / 5 cm. Therefore, the volume of the rectangular prism can be
calculated as follows:
volume of each cube = l³
volume of each cube = (1 / 5)³
volume of each cube = 1 / 125 cm³
Therefore,
volume of the rectangular prism = 605 × 1 / 125
volume of the rectangular prism = 605 / 125
volume of the rectangular prism = 4.84 cm³
learn more on rectangular prism here: https://brainly.com/question/29175503
#SPJ9
Which number line can be used to find the distance between (-1,2) and (-5,2)
Answers
Answer:
The number line is y = 2.
Step-by-step explanation:
We are given the points (-1,2) , (-5,2) and we have to find the number line that can be used find the distance between them.
The y coordinate of the two points is
same (equal to 2) , so the number line that can be used to find the distance between them is y = 2.
Distance between the points = |-5+1| = 4
use the regression equation to predict the head circumference of a child who is 24.25 inches tall. y
Answers
The regression equation to predict the head circumference of a child who is 24.25 inches tall y=17.20 inches
The regression line with the least squares
y = 0.1827*x + 12.4932
Children that are 25.25 inches tall should have a mean head circumference that we can anticipate.
Let x = 25.75
y is thus equal to 0.1827*25.75 plus 12.4932.
b) The mean head circumference of kids who are 25.25 inches tall falls within the 95% confidence interval of
The Mean of the head circumference is 17.327, the standard deviation is 0.219, there are 11 participants, and there are 10 participants in step c.
y = 0.1827*x + 12.4932
The head circumference of a youngster who is 25.25 inches tall must be predicted.
Let x = 25.75
y is thus equal to 0.1827*25.75 plus 12.4932.
y=17.20 inches.
Know more about regression
https://brainly.com/question/28178214
#SPJ4
Please help!
Whoever answers right gets brainliest!!!!
Answers
Answer:
\(y - 4 = - 3(x - 2)\)
Which statements are true regarding f(x)=10/x+5
? Check all that apply.
The domain of f(x) is (–∞, –5) U (–5, ∞).
The range of f(x) is (–∞, 2) U (2, ∞).
The x-intercept is at (–5, 0).
The y-intercept is (0, 2).
There is a vertical asymptote at x = –5.
The end behavior is x → –∞, f(x) → 0 and x → ∞, f(x) → 0.
Answers
For the function \(\frac{10}{x + 5}\) , we can say
The domain of f(x) is (–∞, –5) U (–5, ∞).
The y-intercept is (0, 2).
There is a vertical asymptote at x = –5.
The end behavior is x → –∞, f(x) → 0 and x → ∞, f(x) → 0.
What is a function?A mathematical relationship from a set of inputs to a set of outputs is called a function.
What is domain of a function?The domain of a function is the set of all possible inputs for the function.
What is range of a function?The range of a function is the set of outputs the function achieves when it is applied to its whole set of outputs
What is asymptote?An asymptote is a straight line that can be horizontal, vertical or oblique that goes closer and closer to a curve which is the graphic of a given function.
What is intercept?An intercept of any function is a point where the graph of the function crosses, or intercepts, the x-axis or y-axis.To find the x-intercept we need to do y = 0To find the y-intercept, we need to do x = 0How to know the domain of function?The given function is \(\frac{10}{x + 5}\)
Now, if x = -5 then the function becomes undefined.
∴ The domain of the function is all real numbers except -5
So, The domain of f(x) is (–∞, –5) U (–5, ∞).
So, option a is correct.
How to know the range of the function?Clearly, the range of the function includes all real numbers
So, option B is wrong
How to find the x-intercept?To find the x-intercept , we will have to solve f(x) = 0, which is not at all possible for this function.
So, option C is wrong
How to find the y-intercept?To find the y-intercept, we need to do x = 0So, putting x = 0 in the function we get f(x) = 2
So, the y- intercept is (0, 2).
So, option D is correct.
How to find vertical asymptote ?To find the vertical asymptote, we need to make the denominator = 0∴ x+ 5 = 0
∴ x = -5
So, there is a vertical asymptote at x = –5.
Hence option E is correct.
How to find the end behavior?We can see,
As x tends to -∞, x + 5 will also tend to -∞We know that a number divided by ∞ or -∞ becomes 0So, as x tends to -∞, f(x) will tend to 0
So, Option F is correct.
Find more about "Domain and Range of Functions" here: https://brainly.com/question/1942755
#SPJ2
Answer:
ADEF
Step-by-step explanation:
ADEF
Ullany TVd How much 20k stamps can #2.00 buy
Answers
Answer: 4000
Step-by-step explanation: