Answer:
clerk A and clerk B can simultaneously stock a shelf in 180/13 minutes
Step-by-step explanation:
Let the first clerk be A and the second clerk be B
A can stock a shelf in 20 min
B can stock a shelf in 45 min
Consider the complete work to be W
A’s rate of stocking = per minute
B’s rate of stocking = per minute
When, A and B work simultaneously, rate of work done =
Total work done simulatenously = 180/13
Therefore, clerk A and clerk B can simultaneously stock a shelf in 180/13 minutes
Answer:
Step-by-step explanation:
The rate of each clerk is 1/25 and 1/45 respectively so together they can stock the shelf
t/25+t/45=1 (the least common multiple of 25 and 45 is 225)
t/25(9/9)+t/45(5/5)=1
(9t+5t)/225=1
9t+5t=225
14t=225
t=225/14 min
t=16 minutes (rounded to nearest minute)
( or 16 minutes and about four seconds :) )
A jewelry store offers its own brand of customizable charm bracelets. You are able to choose from 9
different charms for your bracelet.
How many different charm bracelets is it possible to create?
Answer:
By the way that it is worded, I believe that you are only allowed to put 1 charm on the bracelet, so there are 9 ways to pick a charm.
Hope this helps(and also if you have a more refined wording please put it in the comments)!
Answer:
By the way that it is worded, I believe that you are only allowed to put 1 charm on the bracelet, so there are 9 ways to pick a charm.
6500 divide by 100. step by step
Answer:
6500 / 100 = 65
Step-by-step explanation:
if you are dividing a number that has zeros by 10/100/1000... you can cancel out the zeros to find the answer.
What is the correct answer?
Answer:
6 units to the right, 3 units down
Step-by-step explanation:
Find the area of the triangle.
Answer:
182.82812
Step-by-step explanation:
What is the common difference for this arithmetic sequence?
-6, -2, 2, 6, 10, ...
Answer:
4
Hope it helps
Please mark me as the brainliest
Thank you
common difference = t2 - t1 for all terms.
therefore d = -2 - (-6)
= -2 + 6
= 4
hope it helps :D
pls help me I'm stuck on this one too
Answer:
the answer is 11
I hope it helps
have a nice day
#Captainpower
Factorise the expressions.
mn + m + n + 1
m(n +1) + (n+1)
( n + 1) ( m + 1)
x (y+ z) -5 (y + z)
( y + z ) ( x- 5 )
What is the area of the shaded region?
16 cm
A. 25.16 cm
B. 27.52 cm
C. 50.24 cm
D. 55.04 cm
Write a denominator for 3/8 and 2/12
Answer:
24
Step-by-step explanation:
8 * 3 = 24
12 * 2 = 24
(the star is the multiplication sign)
Hope this helps :)
you roll two 6-sided number cubes
where is the question I dont see it
Please help ASAP due soon pretty easy question just stuck
Answer:
x=4 z=117
Step-by-step explanation:
Answer:
x = 4, z = 117
Step-by-step explanation:
14x + 7 and 63 are vertically opposite angles and are congruent, then
14x + 7 = 63 ( subtract 7 from both sides )
14x = 56 ( divide both sides by 14 )
x = 4
z and 63 are adjacent angles and are supplementary, then
z + 63 =180 ( subtract 63 from both sides )
z = 117
Which statement describes the system of equations?
[x+2y-2
Ix-2y--2
It has infinitely many solutions.
O It has no solution.
It has one solution (0, 1).
It has one solution (4, -1).
Answer:
x+2y=2.....(1)
x-2y=2......(2)
(substrate 1 in 2
x=2
substitutes x in 1
2+2y=2
4y=2
y=4/2
y=2
Write a polynomial function of least degree that has real coefficients, the following zeros: 1,5,3+i and a leading coefficient of 1
Answer:
no te entiendo
yo también la busco
The base of an aquarium with given volume V is made of slate and the sides are made of glass. If the slate costs seven times as much (per unit area) as glass, use Lagrange multipliers to find the dimensions of the aquarium that minimize the cost of the materials. (Enter the dimensions as a comma separated list; Note that the variable volume is a capital V and must be entered as such, using the shift rather than caps-lock key)
Answer:
[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]
Step-by-step explanation:
Represent the volume of the box with V and the dimensions with l, b and h.
The volume (V) is:
[tex]V = l * b * h[/tex]
Make h the subject of the formula
[tex]h = \frac{V}{lb}[/tex]
The surface area (S) of the aquarium is:
[tex]S = lb + 2(lh + bh)[/tex]
Where lb represents the area of the base (i.e. slate):
The cost (C) of the surface area is:
[tex]C = 7 * lb + 1 * 2(lh + bh)[/tex]
[tex]C = 7lb + 2(lh + bh)[/tex]
[tex]C = 7lb + 2h(l + b)[/tex]
Substitute [tex]\frac{V}{lb}[/tex] for h in the above equation
[tex]C = 7lb + 2*\frac{V}{lb}(l + b)[/tex]
[tex]C = 7lb + \frac{2V}{lb}(l + b)[/tex]
[tex]C = 7lb + \frac{2V}{b} + \frac{2V}{l}[/tex]
Differentiate with respect to l and with respect to b
[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex]
[tex]C_b=7l - \frac{2V}{b^2}[/tex] [tex]=0[/tex]
To solve for b and l, we equate both equations and set l to b (to minimize the cost)
[tex]7b - \frac{2V}{l^2}=7l - \frac{2V}{b^2}[/tex]
[tex]7l - \frac{2V}{l^2}=7b - \frac{2V}{b^2}[/tex]
By comparison:
[tex]l =b[/tex]
[tex]C_l=7b - \frac{2V}{l^2}[/tex] [tex]=0[/tex] becomes
[tex]7l - \frac{2V}{l^2}=0[/tex]
[tex]7l = \frac{2V}{l^2}[/tex]
Cross Multiply
[tex]7l^3 = 2V[/tex]
Solve for l
[tex]l^3 = \frac{2V}{7}[/tex]
[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex]
Recall that: [tex]l =b[/tex]
[tex]b = \sqrt[3]{\frac{2V}{7}}[/tex]
Also recall that:
[tex]h = \frac{V}{lb}[/tex]
[tex]h = \frac{V}{\sqrt[3]{\frac{2V}{7}}*\sqrt[3]{\frac{2V}{7}}}[/tex]
[tex]h = \frac{V}{\sqrt[3]{\frac{4V^2}{49}}}[/tex]
Apply law of indices
[tex]h = \sqrt[3]{\frac{49V^3}{4V^2}}[/tex]
[tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]
The dimension that minimizes the cost of material of the aquarium is:
[tex]l = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]b = \sqrt[3]{\frac{2V}{7}}[/tex] [tex]h = \sqrt[3]{\frac{49V}{4}}[/tex]
Three points are coplanar
sometimes
Never
Always
Answer:
Never:
Step-by-step explanation:
because its more understandable we know this because it wouldnt be always
Rafael is training for a triathlon, which includes swimming, biking, and running. The graph shows the total hours he spent swimming over the first 4 weeks of his training. Swim Training 0 Is the relationship between the time spent swimming and the number of weeks proportional? Complete the statements. 30 27 The points ? a straight line that 24 21 ? 4 through the origin. 18 Time (h) 15 12 6 3 0 1 2 3 4 5 6 7 8 9 10 0
Answer:
For people that are doing this lesson on I-Ready
The points Lie on a straight line that goes through the origin.
The graph shows a relationship that is Proportional.
Step-by-step explanation:
Answer:
Step-by-step explanation:
lie on
goes
How can you use tables, graphs and equations to compare functions
Answer:
A graph is a chart or drawing that shows the relationship between changing things.
- They are a diagram displaying the relationship between numbers or amounts.
- A graph is one of the easiest ways to compare numbers.
- A graph or chart is used to present facts in visual form.
- They are a drawing that displays the relative sizes of numerical quantities.
- Graphs can be used to illustrate many types of data.
- They should be used to make facts clearer and more understandable.
- it shows trends over time.
- Forceful -- Emphasizes main point
- Convincing -- proves a point, see and hear
- Compact way to convey information
- More interesting than just talk or print
- Quick way for the audience to visualize what you are saying -- numbers trends up or down
- To bring facts to life
- To show and compare relationships
- To show and compare changes
- They are much easier to understand then a large
table of numbers
- without
the need to understand what each and every number in a table means.
They help you visually see the difference between two or more values.
Hope this helps!
w(n)= -n-2; Find w(10)
Answer: w(10) = -12
Step-by-step explanation:
w(n) = -n - 2; Find w(10)
w(10) = -(10) - 2
w(10) = -10 - 2
w(10) = -12
1)Find the angle of elevation of the sun from the ground when a tree that is
14ft tall casts a shadow 16ft long. Round to the nearest degrees
Answer:
[tex]\theta=41.18^{\circ}[/tex]
Step-by-step explanation:
Given that,
The height of the tree, h = 14 ft
The height of the shadow, b = 16 ft
We need to find the angle of elevation of the sun from the ground. Let the angle be θ. We can use trigonometry to find it. So,
[tex]\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{14}{16}\\\\\theta=41.18^{\circ}[/tex]
So, the required angle of elevation of the sun is equal to [tex]41.18^{\circ}[/tex].
Help plz:)))I’ll mark u Brainliest 0-o
Answer: x=9
Step-by-step explanation:
The weight of adult female panthers in one habitat area are normally distributed with a mean of 82 pounds and a standard deviation of 9.8 pounds. What percent of the panthers weigh less than 76 pounds?
Answer:
27.09% of the panthers weigh less than 76 pounds
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 82 pounds and a standard deviation of 9.8 pounds.
This means that [tex]\mu = 82, \sigma = 9.8[/tex]
What percent of the panthers weigh less than 76 pounds?
The proportion is the pvalue of Z when X = 76. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{76 - 82}{9.8}[/tex]
[tex]Z = -0.61[/tex]
[tex]Z = -0.61[/tex] has a pvalue of 0.2709
0.2709*100% = 27.09%
27.09% of the panthers weigh less than 76 pounds
HELP ME
The circumference of the base of a cylinder is 20 inches. The height of the cylinder is 5 inches. Find V.
Answer:
20 happy to helPNMNJHUJN
Step-by-step explanation:
How much will a shopper save on a TV that is on sale for 25% off the regular price of $399.99
Answer: $99.99
Step-by-step explanation:
$399.99 * .25 (discount) = $99.99
99165+67894321-9872345
Answer:
58121141
Step-by-step explanation:
99165+67894321= 67993486
67993486-9872345= 58121141
A line contains the points (6,-4) and (0,-2). What is the equation of the line?
Answer:
The equation of the line is:
[tex]y = -\frac{1}{3}x - 2[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept, that is, the value of y when x = 0.
(0,-2)
This means that the y-intercept is -2, that is, [tex]b = -2[/tex]. So
[tex]y = mx - 2[/tex]
Finding the slope:
When we have two points, the slope is given by the change in y divided by the change in x.
We have points (6,-4) and (0,-2).
Change in y: -2 - (-4) = -2 + 4 = 2
Change in x: 0 - 6 = -6
Slope: [tex]m = \frac{2}{-6} = -\frac{1}{3}[/tex]
So the equation of the line is:
[tex]y = -\frac{1}{3}x - 2[/tex]
Researchers make a one-sample zzz interval to estimate the proportion of adults who would say they learned something new in the past month. Previous studies have suggested that about 40\%40%40, percent would answer "yes" to this question. The researchers plan on using a confidence level of 95\%95%95, percent, and they want the margin of error to be no more than \pm 5\%±5%plus minus, 5, percent.
Answer:
369
Step-by-step explanation:
The researchers need a sample size of 385 to estimate the proportion of adults who would say they learned something new in the past month with a 95% confidence level and a margin of error of no more than ±5%.
What is a margin of error?The margin of error is the amount of error or uncertainty in a statistical estimate, usually an estimate of a population parameter based on a sample.
We have,
To create a one-sample z-interval, the following steps can be followed:
Determine the sample size (n) and the sample proportion p.
Since no sample size or proportion is given in the problem, we cannot proceed with this step.
Determine the level of confidence (C) for the interval. In this case, the researchers want a confidence level of 95%, so C = 0.95.
Find the critical value (z*) for the level of confidence.
This can be done using a standard normal distribution table or a calculator.
For a 95% confidence level, the critical value is 1.96.
Calculate the margin of error (ME) using the formula:
ME = z x √(p x (1 - p) / n)
Since the margin of error is given as no more than ±5%, we can set it equal to 0.05 and solve for the required sample size:
0.05 = 1.96 x √(0.4 x (1 - 0.4) / n)
Solving for n, we get:
n = (1.96 / 0.05)² x 0.4 x (1 - 0.4)
n ≈ 384.16
Since the sample size must be a whole number, we round up to the nearest integer and get n = 385.
Therefore,
The researchers need a sample size of 385 to estimate the proportion of adults who would say they learned something new in the past month with a 95% confidence level and a margin of error of no more than ±5%.
Learn more about margin of error here:
https://brainly.com/question/10501147
#SPJ3
giving BRAINLIEST for the correct answer !!
Answer:
x<4
Step-by-step explanation:
Write the quadratic equation whose roots are 6 and 2, and whose leading coefficient is 2
Answer:
Step-by-step explanation:
y = 2(x-6)(x-2) = 2(x²-8x+12) = 2x² - 16x + 24
Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes
the equation of a line that is perpendicular to y = 2x + 1 passes through the point (4,-3)
Step-by-step explanation:
perp. -1/2
y + 3 = -1/2(x - 4)
y + 3 = -1/2x + 2
y = -1/2x - 1