anyone could help a little?
9514 1404 393
Answer:
a) 100
b) 15 miles
Step-by-step explanation:
Each small square on the graph represents 1 person.
a) To the right of distance = 30 miles, there are 4 groups of 25 small squares, so 100 people travel 30+ miles.
__
b) To the right of distance = 15, there are (11 +6×5)×5 = 205 small squares. That is 205 people travel more than 15 miles to work. Sam may travel about 15 miles to work.
While visiting the Albert Michelson exhibit at Clark University, you notice that a chandelier (which looks remarkably like a simple pendulum) swings back and forth in the breeze once every
T = 6.2 seconds.Randomized VariablesT = 6.2 seconds(a) Calculate the frequency of oscillation (in Hertz) of the chandelier.(b) Calculate the angular frequency ω of the chandelier in radians/second.
(c) Determine the length L in meters of the chandelier. sig.gif?
(d) That evening, while hanging out in J.J. Thompson’s House O’ Blues, you notice that (coincidentally) there is a chandelier identical in every way to the one at the Michelson exhibit except this one swings back and forth 0.11 seconds slower, so the period is T + 0.11 seconds. Determine the acceleration due to gravity in m/s2 at the club.
Answer:
a) [tex]F=0.16Hz[/tex]
b) [tex]\omega=1rad/s[/tex]
c) [tex]L=9.54m[/tex]
d) [tex]g=9.46m/s^2[/tex]
Step-by-step explanation:
From the question we are told that:
Time [tex]T =6.2[/tex]
a)
Generally the equation for Frequency F is mathematically given by:
[tex]F=\frac{1}{T}[/tex]
[tex]F=\frac{1}{6.2}[/tex]
[tex]F=0.16Hz[/tex]
b)
Generally the equation for Frequency F is mathematically given by:
[tex]\omega=2\pi f[/tex]
[tex]\omega=2*314* 0.16[/tex]
[tex]\omega=1rad/s[/tex]
c)
Generally the equation for Length of Chandelier L is mathematically given by:
Since
[tex]T=2*3.142\sqrt{\frac{L}{g}}[/tex]
Therefore
[tex]L=\frac{gT^2}{4 \pi^2}[/tex]
[tex]L=\frac{9.8*(6.2)^2}{4 \pi^2}[/tex]
[tex]L=9.54m[/tex]
d)
Since
Michelson exhibit except this one swings back and forth 0.11 seconds slower
Therefore
[tex]T'=T+0.11[/tex]
[tex]T'=6.31[/tex]
Generally the equation for acceleration due to gravity g is mathematically given by:
[tex]g = \frac{4\pi ^2L}{( T')}^2[/tex]
[tex]g = \frac{4\pi ^2L\*9.54}{( 6.31 s )}^2[/tex]
[tex]g=9.46m/s^2[/tex]
I need help with this math problem please
Answer:
C) 3(x+7)²
Step-by-step explanation:
Answer:
A) (3x + 21)(x + 7)
Step-by-step explanation:
If we look at the equation we can see that it is a quadratic equation, therefore we can factor it in the following way...
[tex]3x^{2} + 42x + 147 = 3x^{2} + 21x + 21x + 147 = 3x(x + 7) + 21(x + 7) = (3x + 21)(x + 7)[/tex]
Therefore the answer is A)
i need to find the area of a rectangle using the formula A=b*h the height is 810 cm the base is 10 meters...i know i need to convert, but how do i set up the equation to gigute/work this this out?
Answer:
81000[tex]cm^{2}[/tex] or 8.1[tex]m^{2}[/tex]
Step-by-step explanation:
1m = 100cm
10m = 1000cm
a= b*h
a= 1000cm * 810cm
= 810000[tex]cm^{2}[/tex]
1[tex]m^{2}[/tex] = 10000[tex]cm^{2}[/tex]
810000[tex]cm^{2}[/tex] = 8.1[tex]m^{2}[/tex]
Simplify the expression:
10+10v–10+10v
Answer:
20v
Step-by-step explanation:
answer
20 v. hope helpful answer. 10+10v-10+10 =20
Need some help not very good at fractions so i need some help
Answer:
3 and 3/4 miles per hour
Step-by-step explanation:
1/5 and 3/4 cross multiply and = 15/4
simplified to 3 and 3/4
What is 7% of 300 pounds
Answer:
21
Step-by-step explanation:
Of means multiply
7% * 300
Change to decimal form
.07 * 300
21
Janice wants to find the area of a square tabletop. She uses the formula for the area of a square: A=8x2 where 8 is the length of one side of the square .if 8=3 feet what is the area of the tabletop?
Answer:
12
Step-by-step explanation:
because you replace 8 with 3
Find the intercepts and use them to graph the equation. y=x-4
Answer:
See attachment for graph
Step-by-step explanation:
Given
[tex]y = x -4[/tex]
The intercepts
For y intercept, we have: [tex]x =0[/tex]
[tex]y = x -4[/tex]
[tex]y = 0 - 4[/tex]
[tex]y = - 4[/tex]
For y intercept; we have: [tex]y = 0[/tex]
[tex]y = x -4[/tex]
[tex]0 = x - 4[/tex]
[tex]x = 4[/tex]
So, the intercepts are: (0,-4) and (4,0)
See attachment for graph
which of the following demonstrates how to factor x^2-y^2?
2(x-y)
(x-y)(x+y)
(x+y)(x+y)
(x-y)^2
Answer:
[tex] {x}^{2} - {y}^{2} [/tex]
difference of two squares:
[tex](x + y)(x - y)[/tex]
Find out the possible two numbers that satisfied all the given conditions. The LCM of two numbers is 130.• The HCF of the same two numbers is 13. • Both numbers are less than 100. Write down two possible numbers.
Answer:
1020100101/1
Step-by-step explanation:
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Can someone helllllp? 20 points
Step-by-step explanation: 6 4 17 26
1) BC = 10 twice DC
2) x = 174 360 - 46 - 66 - 74 = x
3) x = 125 360 - 47 - 98 - 90 = x
Complete the two-way frequency table below, which shows the relationship between students who enroll in art class and in music class in a particular high school. From a sample of 60 students it is found that 23 are in art class, 34 are in music class, and 11 are enrolled in both. How many students are enrolled in either art class or music class?
Art Not in Art Total
Music 11 34
Not in Music
Total 23 60
35
14
11
46
Answer:
11
Step-by-step explanation:
solve it plssssssssssssss
Answer:
52
length = 12+2=14 feet
P = 2l+2w = (2 x 14) + (2 x 12) = 52
Step-by-step explanation:
Hope that helps! Have a wonderful day :)
In another right angle triangle the hypotenuse is 53, and the one of the side lengths is 28. Please find the missing side length.
Answer:
Adjacent, b = 45 units
Step-by-step explanation:
Let the length of sides of the triangle be;
Opposite side = aAdjacent side = bHypotenuse side = cGiven the following data;
Hypotenuse, c = 53 units
Opposite, a = 28 units
To find the missing side (adjacent), we would have to apply Pythagorean' theorem.
From Pythagorean theorem;
c² = a² + b²
Substituting into the formula, we have;
53² = 28² + b²
2809 = 784 + b²
Rearranging the equation (collecting like terms), we have;
b² = 2809 - 784
b² = 2025
Taking the square root of both sides, we have;
b = √2025
Adjacent, b = 45 units
What is cos 60°?
60
2
90
30*
V5
O A
A.
B.
15
och
D. 2
E. 1
2
O F 3
The value of cos 60 is 1/2 from the given triangle, Option E is correct.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Let the given triangle is ABC.
AB=1, BC=√3 and AC = 2.
We have to find the value of cos 60 degrees.
We know that cos function is a ratio of adjacent side and hypotenuse.
cos 60 = Opposite side/ Hypotenuse
=AB/AC
Plug in the value of AB and AC.
cos 60 =1/2
Hence, the value of cos 60 is 1/2 from the given triangle, Option E is correct.
To learn more on trigonometry click:
https://brainly.com/question/25122835
#SPJ7
A manufacturer of industrial solvent guarantees its customers that each drum of solvent they ship out contains at least 100 lbs of solvent. Suppose the amount of solvent in each drum is normally distributed with a mean of 101.8 pounds and a standard deviation of 3.76 pounds. a) What is the probability that a drum meets the guarantee
Answer:
0.6844 = 68.44% probability that a drum meets the guarantee.
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.
Mean of 101.8 pounds and a standard deviation of 3.76 pounds.
This means that [tex]\mu = 101.8, \sigma = 3.76[/tex]
What is the probability that a drum meets the guarantee?
Probability of at least 100 lbs of solvent, which is 1 subtracted by the p-value of Z when X = 100. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{100 - 101.8}{3.76}[/tex]
[tex]Z = -0.48[/tex]
[tex]Z = -0.48[/tex] has a p-value of 0.3156.
1 - 0.3156 = 0.6844
0.6844 = 68.44% probability that a drum meets the guarantee.
multiply (3c+2p)(3c-2p) what is the answer?
9514 1404 393
Answer:
9c² -4p²
Step-by-step explanation:
The product of a sum and difference of the same two terms is the difference of their squares:
(3c +2p)(3c -2p) = 3c(3c -2p) +2p(3c -2p)
= (3c)² -6cp +6cp -(2p)²
= (3c)² -(2p)² = 9c² -4p²
If 3 out of 10 mammalian cell cultures exposed to ultraviolet (UV) radiation developed chromosomal abnormalities while 9 out of 10 mammalian cell cultures developed chromosomal abnormalities when exposed to UV radiation plus a common NSAID (nonsteroidal anti-inflammatory drug).
a. What is the type of study design?
b. Which parameter (s) can be determined? Calculate it.
c. Explain the results.
Answer:
a) Observational Study
b) Risk in observational study
RR = 9/10/3/10 = 3.0
c) Relative risk when exposed to a common NSAID is 3 out of 10 people
Step-by-step explanation:
A) This is observational study
b) The parameter determined here is the risk in observational study
RR = 9/10/3/10 = 3.0
c) Relative risk of mammalian cell to develop chromosomal abnormalities when exposed to a common NSAID is 3 out of 10 people
Marvin's Tree Service purchased several spruce tree saplings.
The heights of the saplings are shown in the table. Which line plot represents the data correctly?
A data set titled
A.
A line plot titled “Heights of Tree Saplings” shows a number line labeled “Height in inches” from 26 to 28 in intervals of one fourth. 26 and one half has 3 dots. 26 and three fourths has 3 dots. 27 has 2 dots. 27 and one fourth has 5 dots. 27 and one half has 6 dots. 27 and three fourths has 2 dots.
B.
A line plot titled “Heights of Tree Saplings” shows a number line labeled “Height in inches” from 26 to 28 in intervals of one fourth. 26 and one half has 3 dots. 26 and three fourths has 3 dots. 27 has 2 dots. 27 and one fourth has 3 dots. 27 and one half has 6 dots. 27 and three fourths has 2 dots.
C.
A line plot titled “Heights of Tree Saplings” shows a number line labeled “Height in inches” from 26 to 28 in intervals of one fourth. 26 and one half has 3 dots. 26 and three fourths has 3 dots. 27 has 2 dots. 27 and one fourth has 4 dots. 27 and one half has 6 dots. 27 and three fourths has 2 dots.
D.
A line plot titled “Heights of Tree Saplings” shows a number line labeled “Height in inches” from 26 to 28 in intervals of one fourth. 26 and one fourth has 1 dot. 26 and one half has 3 dots. 26 and three fourths has 3 dots. 27 has 2 dots. 27 and one fourth has 4 dots. 27 and one half has 6 dots. 27 and three fourths has 2 dots.
Answer:
B
Step-by-step explanation:
Which inequality shows all possible values for the measure of the third side, x, in inches?
Answer:
[tex]26 > c > 58[/tex]
Step-by-step explanation:
Given
[tex]a,b =42; 16[/tex] --- 2 sides
Required
The inequality for the third side
To do this, we make use of:
[tex]a + b < c[/tex]
[tex]a + c < b[/tex]
[tex]b + c < a[/tex]
So, we have:
[tex]42 + 16 < c[/tex]
[tex]16 + c < 42[/tex]
[tex]42 + c < 16[/tex]
This gives:
[tex]58 < c[/tex]
[tex]c < 26[/tex]
[tex]c<-26[/tex]
The usable inequalities are:
[tex]c < 26[/tex] and [tex]58 < c[/tex]
Rewrite:
[tex]c < 26[/tex] and [tex]c > 58[/tex]
So, the inequality is:
[tex]26 > c > 58[/tex]
12th grade stat and prob !!!!
Answer:
The 1st one .
Step-by-step explanation:
Sarah bought a pair of shoes that were $64 but we’re on sale for $46 sales tax is 6% how much does she pay for the shoes
Answer:
43,24$
Step-by-step explanation:
46$ — 100%
x$ — 6%
46 · 6/100
2,76$
46$ - 2,76$ = 43,24$
I don't know if this helps
Write an equation for the following problem,
"Ross decides to go ice skating with his friends.
The rink charges $8 to rent skates and $7.50 for
each hour. Write an equation to find the total
cost (C) if he skates for 3 hours.?"
Answer:
c= $8 +($7.50×3)
Step-by-step explanation:
Question 22 of 25
Which of the following is most likely the next step in the series?
Answer:
B
Step-by-step explanation:
We need a butterfly garden with a perimeter of 16 feet and an area of 16 square feet.
hurry please i don’t have much time
Answer:
The answer would be a) 4-2g
Step-by-step explanation:
Multiplying by one half is like dividing by 2!
8/2 = 4
and
4/2 = 2
It can't be b because you can't add 4g+2
It can't be c because you can't completely remove the 8/4
It can't be d because you didn't actually distribute
Determine the value of y, if x is -7 y=
∣x∣-5
Answer:
y = 2
Step-by-step explanation:
y = |x| - 5
|?| means an absolute value of a number
in this case x = -7 so the absolute value for -7 would be 7
y = 7 - 5
y = 2
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?
Answer:
at least 77 boxes
Step-by-step explanation:
77 boxes x 13 girls will give you a total of 1,001 boxes of cookies sold.
Which of the following are mathematical sentences? Check all that apply.
MULTIPLE CHOICE
A. 4 - d = 8
B. 4 - v
C. 3 + 2 = 5
D. 6
E. 5g
F. 1 < 2
Answer:
option A, C, D and F are mathematical sentences.