Find total mass:
Human: 65 kg x 6,840,000,000 = 444,600,000,000 kg
Ants: 4x10^-3 = 0.004g
0.004 x 10,000,000,000,000,000 = 40,000,000,000,000g
Divide total grams by 1000 to get kegs:
40,000,000,000,000 /1000 = 40,000,000,000 kgs.
Divide total mass of humans by total mass of ants:
444,600,000,000 / 40,000,000,000 = 11.115
Mass of humans is 11.115 times more than ants.
Rounded to the nearest whole number = 11 times more.
3-[tex]\frac{7}{x}[/tex]/x+[tex]\frac{4}{7x}[/tex]
Answer:
your answer would be 21x-49/7x^2+4
Step-by-step explanation:
21 x -49
-----------
7x^2+4
Thera are 9 players on a baseball team a club has 9 baseball teams how many baseball players are in the club
Answer:
81
Step-by-step explanation:
Answer:
81
Step-by-step explanation:
9 in each team and theres 9 teams in all
9*9=81
Yoshi has a rope 30 feet long. He must cut it in pieces that are 1/4 foot long will he get more or fewer than 30 pieces
Answer:
More
Step-by-step explanation:
If we divide 30 by .25 we will get 120
Find an equation of the plane. The plane through the points (0, 9, 9), (9, 0, 9), and (9, 9, 0) Incorrect: Your answer is incorrect.
Answer:
The equation of the plane is represented by [tex]\frac{1}{18}\cdot x + \frac{1}{18}\cdot y + \frac{1}{18}\cdot z = 1[/tex].
Step-by-step explanation:
Algebraically speaking, a plane can be represented by following vectorial product:
[tex](a,b, c)\,\bullet\,(x,y,z) = 1[/tex] (1)
Where:
[tex]a[/tex], [tex]b[/tex], [tex]c[/tex] - Plane coeffcients.
[tex]x[/tex], [tex]y[/tex], [tex]z[/tex] - Coordinates.
We need three distinct points to determine all coefficients. If we know that [tex](x_{1},y_{1},z_{1}) = (0,9,9)[/tex], [tex](x_{2},y_{2}, z_{2}) = (9,0,9)[/tex] and [tex](x_{3},y_{3},z_{3}) = (9,9,0)[/tex], the system of equations to be solved is:
[tex]9\cdot b + 9\cdot c = 1[/tex] (1)
[tex]9\cdot a + 9\cdot c = 1[/tex] (2)
[tex]9\cdot a + 9\cdot b = 1[/tex] (3)
The solution of this system is [tex]a = \frac{1}{18}[/tex], [tex]b = \frac{1}{18}[/tex], [tex]c = \frac{1}{18}[/tex].
Hence, the equation of the plane is represented by [tex]\frac{1}{18}\cdot x + \frac{1}{18}\cdot y + \frac{1}{18}\cdot z = 1[/tex].
I need the answer anyone please?????????????????? And explain it
Answer:correct
Step-by-step explanation:go to 1 then go up on the x axis and see that it goes to about three and do the same with three and you take the two y values and do the big number - the small number the do the same for x and you should get 22/2 and that makes a whole number of 12 BOOM
Please help with this question
Answer:
turn 5-4/10 to an improper fraction so
[tex] \frac{54}{10} \times 2[/tex]
you can simply that to
[tex] \frac{54}{5} [/tex]
then change it back to a regular fraction
[tex]10 \frac{4}{5} [/tex] which is also
[tex]10 \frac{8}{10} [/tex]
Answer:
D. 10 [tex]\frac{8}{10}[/tex]
Step-by-step explanation:
54/10 x 2 = 108/10
= 10 [tex]\frac{8}{10}[/tex]
9. Mr. Hernandez dilates the triangle shown below by a scale factor of 2 with the origin as the center to obtain .
Two of his students wrote the following statements about the triangles.
Student 1: and are similar right triangles; therefore, . Student 2: and are similar right triangles; therefore, . Which of Mr. Hernandez's students wrote a correct conclusion about the two triangles?
A. only student 1
B. only student 2
C. both student 1 and student 2
D. neither student 1 nor student 2
Answer:
Only student 2
Step-by-step explanation:
Answer: B
Step-by-step explanation: I took the test
what is 0.42 as a percentage
Answer:
42%
Step-by-step explanation
0.42 = 42/100
to find percent you need to find how much is it out of 100
42/100 = 42%. :)
Answer:
42%
Step-by-step explanation:
If you have a hard time determining how to calculate a decimal into a percentage, just move the number to places to the left.
Hope this helped!
Thanks!
Your friend in answering,
~Steve
The total cost C for a manufacturer during a given time period is a function of the number N of items produced during that period. To determine a formula for the total cost, we need to know the manufacturer's fixed costs (covering things such as plant maintenance and insurance), as well as the cost for each unit produced, which is called the variable cost. To find the total cost, we multiply the variable cost by the number of items produced during that period and then add the fixed costs.
a. Use a formula to express the total cost C of this manufacturer in a month as a function of the number of widgets produced in a month. Be sure to state the units you use.
b. Express using functional notation the total cost if there are 250 widgets produced in a month, and then calculate that value.
Answer:
(a) C = 9000 + 15N
(b) Cost of 250 widgets is $12750
Step-by-step explanation:
The question has missing details. See attachment for complete question
Solving (a): An expression for total cost.
The expression is generated using:
[tex]Total\ Cost = Fixed\ Cost + Variable\ Cost * Number\ of\ Items[/tex]
From the given parameters:
[tex]Fixed\ Cost = 9000[/tex]
[tex]Variable\ Cost = 15[/tex]
[tex]Number\ of\ Items = N[/tex]
So, the expression becomes:
[tex]C = 9000 + 15 * N[/tex]
[tex]C = 9000 + 15 N[/tex]
Solving (b): Cost of 250 widgets
In this case:
[tex]N =250[/tex]
Substitute 250 for N in [tex]C = 9000 + 15 N[/tex]
[tex]C = 9000 + 15 * 250[/tex]
[tex]C = 9000 + 3750[/tex]
[tex]C = 12750[/tex]
Marco has $400. Each week, Marco adds $5 to his bank account.
Select the equation that best represents how much money Marco will save over time. S represents savings and w represents weeks.
w + 400 + 5 = s
400w + 5 = s
5w + 400 = s
5s + 400 = w
PLSS HURRY
Answer:
I'm pretty sure it's 400w+5=s
Step-by-step explanation:
400w because thats how much he earns each week +5 because that's how much he added =s which equals the total cost in his savings
Which expression would be easier to simplify if you used the associative property to change the grouping? O A. (170 + 30) – 41 OB. 3+ (-3) OC. [(-0.1) + (-0.3)] + 2.4 o D. –} + [(-5)+
Answer:
A.(170+30)-41
Step-by-step explanation:
(170+30)-41=170+(30-41)
200-41=170+(-11)
159=170-11
159=159
Answer:
D. -2/5 + [(-1/5) + 1/4]
Step-by-step explanation:
Hope it helpss :D
Convert (11/9)n radians to degrees. Do not round.
Answer:
70.028175
Step-by-step explanation:
To convert a radian measurement to a degree measurement, multiply the angle by the conversion ratio.
degrees = radians × (57.29578 or 180/pi)
11/9 rad = 70.028175°
Write the coordinates of the vertices after a rotation of 90 degrees counterclockwise around the origin.
Answer:
U(2, 7) → U'(-7, 2)
V(10, 7) → V'(-7, 10)
W(2, 3) → W'(-3, 2)
Step-by-step explanation:
From the picture attached,
Coordinates of the vertices of the given triangle,
U → (2, 7)
V → (10. 7)
W → (2, 3)
Since rule for the coordinates of a point P(x, y) after a rotation of 90° counterclockwise about the origin is,
P(x, y) → P'(-y, x)
Here point P is the preimage and P' is the image point after rotation.
By this rule,
U(2, 7) → U'(-7, 2)
V(10, 7) → V'(-7, 10)
W(2, 3) → W'(-3, 2)
I know how to convert fractions and decimals but the the fact that it’s repeating threw me off so can someone help please?
Answer: It really dosen't matter if its repeating. If it's repeating just put a line ABOVE THE REPEATING PART. I will explain a little bit so you know what I mean.
Step-by-step explanation: So say you divide 2 by 3 your going to get 0.66666666666. You don't have to put all those 6's. All you have to do is put 0.66 with a line above the two sixes. This will indicate you have a repeating decimal. And this works with any repeating number!
I hope this helps!!!!
A customer at a concession stand bought 2 boxes of popcorn & 3 drinks for $12. Another customer bought 3 boxes of popcorn & 5 drinks for $19. How much does a box of popcorn cost? How much does a drink cost? Write and solve a system of equations Equation 1 : ______________ Equation 2: ______________ Popcorn: _______ Drink: ______
Answer:
$10 each
Step-by-step explanation:
What is the answer to 0.3 x 3 1/3 =
Answer:
1
Step-by-step explanation:
Hope this helpsss
Answer:
1
Step-by-step explanation:
The equation is 3/10 times 10/3, which is 30/30, which equals 1.
(hope this helps :P)
10z = 60
step by step solution, please help!
Answer:
if you're trying to find z it equals 6
Step-by-step explanation:
because 60 ÷ 10 = 6
Answer:
divide 10 from z
z is alone
now divide 10 from 60
you get 6
z=6
I kinda suck at explaining stuff but hope that helps
Please answer this 7th grade math question for me please. =) here are the photos
Answer:
Just please, I don't understand this at all!!!
Step-by-step explanation:
What is the result of adding these two equations? \begin{aligned} 2x+3y &= -5 \\\\ 5x-y &= -12 \end{aligned} 2x+3y 5x−y =−5 =−12
Answer:
[tex]7x+2y = -17[/tex]
Step-by-step explanation:
We have the following equations:
[tex]2x+3y = -5[/tex]
[tex]5x-y = -12[/tex]
If we want to add these equations, we just need to add x-terms, y-terms and independent terms.
[tex](2x+5x)+(3y-y) = -5-12[/tex]
[tex]7x+2y = -17[/tex]
I hope it helps you!
Answer:
7x + 2y = -17
Step-by-step explanation:
khan academy
Mariah Jacobsen is the marketing manager at ABC Electronics, a major consumer electronics supplier in the northwest. Over the last five years, sales of the company's flagship product - the Wizer Anonymizer (the WA) - have been 45000, 45500, 44500, 46000 and 44000 units. This rate of sales is considered average for the product over the last twenty years or so. Ms. Jacobsen believes that the distribution of the WA's sales is normal with a standard deviation of 1500 units. If she were asked to make a forecast of next year's sales to upper management, what is the likelihood that she would be correct if she predicts sales between 43000 and 46000?
Answer:
0.6568 = 65.68% probability that she would be correct.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
45000, 45500, 44500, 46000 and 44000 units. This rate of sales is considered average for the product over the last twenty years or so.
This means that:
[tex]\mu = \frac{45000 + 45500 + 44500 + 46000 + 44000}{5} = 45000[/tex]
Standard deviation of 1500 units.
This means that [tex]\sigma = 1500[/tex]
What is the likelihood that she would be correct if she predicts sales between 43000 and 46000?
This is the pvalue of Z when X = 46000 subtracted by the pvalue of Z when X = 43000. So
X = 46000
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{46000 - 45000}{1500}[/tex]
[tex]Z = 0.67[/tex]
[tex]Z = 0.67[/tex] has a pvalue of 0.7486
X = 43000
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{43000 - 45000}{1500}[/tex]
[tex]Z = -1.33[/tex]
[tex]Z = -1.33[/tex] has a pvalue of 0.0918
0.7486 - 0.0918 = 0.6568
0.6568 = 65.68% probability that she would be correct.
7. Basic Computation: P-value Corresponding to 1 Value For a Student's dis-
tribution with d.f. = 10 and : = 2.930,
(a) find an interval containing the corresponding P-value for a two-tailed test.
(b) find an interval containing the corresponding P-value for a right-tailed
test.
Answer:
a) Interval containing the corresponding P-value for a two-tailed test is;
0.01 ≤ p-value ≤ 0.02
b) Interval containing the corresponding P-value for a right-tailed
test is;
0.005 < p-value < 0.010
Step-by-step explanation:
Given the data in the question;
t = 2.930
df = 10
Test statistics;
Now form the t-distribution table, at df = 10, 2.930 falls between { t=2.764 and t=3.169]
so;
for a two tailed test, corresponding p-value is between: 0.02 and 0.01
For one(right) tailed test, corresponding p-value is between: 0.01 and 0.005
Therefore;
a) Interval containing the corresponding P-value for a two-tailed test is;
0.01 ≤ p-value ≤ 0.02
b) Interval containing the corresponding P-value for a right-tailed
test is;
0.005 < p-value < 0.010
Please Help and Show you work!!!!!!!!
Thank you so much!!!!!
Answer:
5. 60%
6. $12,331
Step-by-step explanation:
Cross multiply:
5.
[tex]\frac{137.94}{229.90}=\frac{x}{100}[/tex]
100(137.94)= 13,794
13,794/229.9= 60, 60%
6.
[tex]\frac{616.55}{x}=\frac{5}{100}[/tex]
100(616.55)= 61,655
61,655/5= 12,331, $12,331
I hope this helps!
What is the area of the triangle given below?
O A 38 sq. units
B. 35 sq. units
O C. 70 sq. units
D. 19 sq. units
Answer:35
Step-by-step explanation:
Solve for "T" in the following formula: P= NRT/V
Answer:
T = PV / NR
Step-by-step explanation:
Is 2/6 greater than 1/2
Answer:
1/2 is greater hope it helps
A 5-gallon bucket is full of pure water. Suppose we begin dumping salt into the bucket at a rate of 1/4 pounds per minute. Also, we open the spigot so that 1/2 gallons per minute leaves the bucket, and we add pure water to keep the bucket full. If the salt water solution is always well mixed, what is the amount of salt in the bucket after:
a. 1 minute?
b. 10 minutes?
c. 60 minutes?
d. 1000 minutes?
e. a very very long time?
Answer and explanation:
1. In one minute, there would be zero pounds of salt in the bucket because there's 0.25 pounds of salt in one minute and 0.5 gallons of water leaves the bucket in same minute, eliminating the 0.25 pounds of salt.
2. In ten minutes there would be zero pounds of salt because theres 0.25×10= 2.5 pounds of salt and 0.5×10=5 gallons of water would leave the bucket, eliminating the salt.
3. In 60 minutes there would still be zero salt because water leaves the bucket more than salt enters
4. Zero salt too after bucket leaks
5. Zero salt
a. p = 5t + 4
b. a = t2 - 4
c. d = t(5 – f)
Make t the subject in the formulas
Answer:
a, t = (p - 4)/5
b. t =√(a + 4)
c. t = d/(5-f)
Step-by-step explanation:
a. p = 5t + 4
To make t the subject of the equation, subtract 4 from both sides
p - 4 = 5t + 4 - 4
p - 4 = 5t
Divide both sides by 5
(p - 4)/5 = t
t = (p - 4)/5
b. a = t2 - 4
to make t the subject, add 4 to both sides
a + 4 = t2 - 4 + 4
a + 4 = t2
find the root of both sides
t =√(a + 4)
c. d = t(5 – f)
to make t the subject, divide both sides by 5 - f
d/(5-f) = t(5 – f)/(5 – f)
t = d/(5-f)
Find the total surface area of this cone, leaving your answer in terms of pi
Answer:
Surface area = 70π cm²
Step-by-step explanation:
Surface area = πr² + πrl
Surface area = (π × 5 × 5) + (π × 5 × 9)
Surface area = (25π) + (45π)
Surface area = 70π cm²
Each bucket holds 212
gallons of water. If it takes 24 buckets to fill a tank, how much water does the tank hold? Quick!
Answer:
5088
Step-by-step explanation:
212*24=5088
Find the sin of angle T.
Thank you :)
Answer:
More precisely, the sine of an angle t equals the y-value of the endpoint on the unit circle of an arc of length t.
Step-by-step explanation:
Bunctions, the sine function has an input and an output.
Answer: 7/25
Step-by-step explanation:
To find the sine you divide the opposite side of the angle by the hypotenuse