Answer:
The surface area is 48cm^2
Step-by-step explanation:
Given
Dimension: 2cm by 2cm by 5cm
Shape: Rectangular Prism
Required
Determine its Surface Area (A)
This is calculated as thus:
[tex]A = 2(lw + lh + hw)[/tex]
Where l, w and h are the dimensions of the given shape:
We can say:
[tex]l = length = 2cm[/tex]
[tex]w=width = 2cm[/tex]
[tex]h=height=5cm[/tex]
So:
[tex]A = 2(2 * 2 + 2 * 5 + 5 * 2)[/tex]
[tex]A = 2(4 + 10 + 10)[/tex]
[tex]A = 2(24)[/tex]
[tex]A = 2 * 24[/tex]
[tex]A = 48[/tex]
Hence, the surface area is 48cm^2
A seed is planted 2 inches below the ground.
The plant grows 6 inches from the seed.
How tall is the plant above the ground?
Answer:
4
Step-by-step explanation:
its planted 2 inches below the ground and it grows 6 from the seed. it has to grow 2 inches to meet the surface of the dirt the remaining is above. therefore 6-2= your answer
2. Jim makes $12 an hour and worked 47 hours this week? (remember the overtime)
Charlie's utility function is U(A, B) = AB, where A and B are the numbers of apples and bananas, respectively, that he consumes. When Charlie is consuming 20 apples and 80 bananas, if we put apples on the horizontal axis and bananas on the vertical axis, the slope of his indifference curve at his current consumption is:____________a. -8.b. -1/4.c. -20.d. -4.e. -1/8.
Answer:
D. -4
Step-by-step explanation:
The formula for calculating the slope of his indifference curve at his current consumption is expressed as:
M = -∆y/∆x
∆y is the change in y axis
∆x is the change in x axis
Since apples are put in the horizontal axis, ∆x = 20
Since banana are on the y axis, then ∆y = 80
Substituting the given values into the formula
M = -80/20
M = -8/2
M = -4
Hence the slope of his indifference curve at his current consumption is -4.
Option D is correct.
Corey, Laura, Paige and Jacob, all turkeys, are wandering through the beautiful forest. They spot seven bees and five cockroaches, and in the trees, they see eight spiders. There are also four deer and four boars. Behind a bush, they can see a pair of antlers. How many legs are there in total?
A) 196
B) 148
C) 180
D) 176
Answer:
I think it would be A
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Use calculator as putting numbers
8+42+30+64+28+4=176
simplify ...........x^4/3+1=3
Answer:
2 3/4 or 2.75
Step-by-step explanation:
Please help. I don’t really understand this topic and I’m having trouble with this question
Answer: 2nd one trust me
Step-by-step explanation:
Gregg manages a small cleaning business. He has 18 employees. The cleaners get paid $14.00per hour. The cleaning supervisors get paid $19.00 per hour. His budget has set aside a payroll expense of $282.00 per hour if all of his employees are working. How many cleaners and how many supervisors does he employ?
Gregg employed
nothing cleaners and
nothing supervisors.
Answer:
Gregg employed 12 cleaners and 6 cleaning supervisors.
Step-by-step explanation:
Set up a system of equations where c is the number of cleaners and s is the number of cleaning supervisors:
c + s = 18
14c + 19s = 282
Solve by substitution by solving for c in the first equation:
c + s = 18
c = 18 - s
Then, plug in 18 - s as c into the second equation:
14c + 19s = 282
14(18 - s) + 19s = 282
Solve for s:
252 - 14s + 19s = 282
252 + 5s = 282
5s = 30
s = 6
Then, plug in 6 as s into the first equation:
c + s = 18
c + 6 = 18
c = 12
So, Gregg employed 12 cleaners and 6 cleaning supervisors.
2 cm
2 cm
2 cm
2. a. Decide if each number on the list is a perfect square.
A. 16
E. 125
b. Write a sentence that explains your reasoning.
B. 20
F. 144
C. 25
G. 225
D. 100
H. 10,000
Answer:
Following are the solution to the given question:
Step-by-step explanation:
In question a:
[tex]\to 16= 4^2[/tex] is a perfect square.
[tex]\to 125 = 5^3[/tex] is not a perfect square
In question b:
[tex]\to 20 = 2 \times 2 \times 5[/tex], not a perfect square.
[tex]\to 25 = 5^2[/tex] is a perfect square .
[tex]\to 100 = 10^2[/tex] is a perfect square .
[tex]\to 125[/tex] is not a perfect square, its nearest perfect square is[tex]121 = 11^2 .[/tex]
[tex]\to 144 = 12^2[/tex] is a perfect square .
[tex]\to 225 = 15^2[/tex] is a perfect square .
[tex]\to 10,000 = 100^2[/tex] is a perfect square .
Find an explicit description of Nul A by listing vectors that span the null space.
A=[ 10 3 1 5 4 0 −2 ]
Answer:
The answer is "[tex]\left[\begin{array}{c}7&-4&1&0\\\end{array}\right] , \left[\begin{array}{c}-6&2&0&1\\\end{array}\right][/tex]"
Step-by-step explanation:
Given value:
[tex]A= \left[\begin{array}{cccc}1&3&5&0\\0&1&4&-2\\\end{array}\right][/tex]
First you find the general Ax = 0 solution for the free variables.
[tex][A \ \ \ 0]= \left[\begin{array}{cccc}1&3&5&0\\0&1&4&-2\\\end{array}\right]\\\\ R_1\to R_1-3R_2\\\\= \left[\begin{array}{ccccc}1&0&-7&6&0\\0&1&4&-2&0\\\end{array}\right][/tex]
Its general solution is:
[tex]x_1 = 7x_3-6x_4,\ \ x_2=-4x_3+2x_4 \ \ with\ \ x_3, and \ x_4\ free. \ So,[/tex]
[tex]x=\left[\begin{array}{c}x_1&x_2&x_3&x_4\\\end{array}\right] = x_3\left[\begin{array}{c}7&-4&1&0\\\end{array}\right] + x_4\left[\begin{array}{c}-6&2&0&1\\\end{array}\right][/tex]
Null A is: [tex]{\left[\begin{array}{c}7&-4&1&0\\\end{array}\right] , \left[\begin{array}{c}-6&2&0&1\\\end{array}\right] }[/tex]
Keeping the properties of exponents in mind, to what power must you raise the expression 7; to get 7 as the
result?
In a two-factor experiment with 2 levels of factor A and 2 levels of factor B, three of the treatment means are essentially identical and one is substantially different from the others. What result(s) would be produced by this pattern of treatment means?a. a main effect for factor Ab. a main effect for factor Bc. an interaction between A and Bd. The pattern would produce main effects for both A and B, and an interaction
Answer:
The pattern would produce main effects for both A and B, and an interaction
Step-by-step explanation:
When there is a two factor experiment having two types of level of factor A and the two level of factor B also the three of the treatment that are similar and the one is totally distinct from the others
So here the treatment pattern would be the pattern in which the important and main impact would be generated for both A and B and then an interaction
hence, the last option is correct
A tree is 72 feet (ft) tall. How many inches (in) is this? First fill in the blank on the left side of the equation using one of the ratios. Then write your answer on the right side of the equation.
1 foot = 12 inches:
1/72 = 12/x
Cross multiply:
1x = 72 * 12
x = 864 inches
which model represents a fraction greater than 3/5?
Answer:
The last one is your answer :))
Step-by-step explanation:
Answer:
Blue circle.
Step-by-step explanation:
I hope it helps, if my answer is correct, please give BRAINLEST!
(a) At Garcia's Bike Rentals, it costs $36 to rent a bike for 9 hours.
How many hours of bike use does a customer get per dollar?
hours per dollar
Answer:
15 mins per dollar
Step-by-step explanation:
how many minutes are their in 9 hours?
540 minutes
so, we divise 540 to 36
this results to 15.
this means, you get 15mins per dollar
From Allen (1990, 113, 162). The interactive computer system at Gnu Glue has 20 communication lines to the central computer system. The lines operate independently and the probability that any particular line is in use is 0.6. () What is the probability that 10 or more lines are in use? Compare the exact binomial solution and the normal approximation solution to this problem. (ii) Do the assumptions needed for the normal approximation make sense?
Answer:
Binomial = 0.8724
Normal approximation = 0.873
Step-by-step explanation:
Given that :
Sample size (n) = 20
p = 0.6
q = 1 - p = 1 - 0.6 = 0.4
.using normal approximation :
Mean = np
Mean (m) = 20 * 0.6 = 12
Standard deviation (s) = √npq
s = √(20 * 0.6 * 0.4) = 2.1908902
Probability of 10 or more lines in use :
p(x ≥ 10)
Applying for correction:
p(x ≥ 10 - 0.5) = p(x ≥ 9.5)
Using the z formula :
Z = (x - m) / s
Z = (9.5 - 12) / 2.1908902
Z = - 1.141
p(Z > - 1.141) = 0.87307 (Z probability calculator)
p(Z > - 1.141) = 0.873
Using the binomial distribution :
P(x = x) = nCx * p^x * (1 - p)^(n-x)
p(x ≥ 10) = p(x = 10) + p(x = 11) +.... + p(x = 20)
Using calculator :
p(x ≥ 10) = 0.87247
= 0.873
An arithmetic sequence has a first term of 8 and sixth term of 38. What is the 50th term of this sequence?
Answer:
302
Step-by-step explanation:
Tn=a+(n-1)d
38=8+[6-1)d
38-8=5d
30/5=d
6=d
Tn=a+(n-1)d
8+(50-1)6
=8+(49)6
302
As a manager of a restaurant, you are working on creating a graph to demonstrate the makeup of your staff. The data you are to present is shown in the table below.
Tasks and Employees on Task
Table waiting
8
Food preparation
14
Cleanup
6
Supervision
4
If you wish to emphasize the relation of each group to the whole, what kind of graph would be appropriate?
a.
pie chart
b.
bar graph
c.
pictograph
d.
scatter plot
Answer:
I believe that A. pie chart, is the correct answer.
Step-by-step explanation:
This is because, a pie chart is a graph that shows the percentages of different things as they relate to a whole.
A pie chart would represent this scenario best because it would have different sections for each task, as well as the amount of employees that preform each task. Together, each task would result in the whole amount of employers.
This is why this graph would be the most appropriate.
Hope this helps! :)
Answer:
A. pie chart
Step-by-step explanation:
Did it on edge 2021
Find the slope of the line containing the points (7,5) and (9,5).
Answer:
[tex]\frac{2}{4}[/tex]
Step-by-step explanation:
Remember that in order to find the slope of two points you need to substitute the variables and subtract making sure you keep the 2's and the 1's together.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Plugin your numbers:
[tex]=\frac{7-5}{9-5}[/tex]
[tex]7-5=2[/tex]
[tex]9-5=4[/tex]
[tex]=\frac{2}{4}[/tex]
Hope this helps.
whats the y-intercept of y= 1/3 x-1y
Answer:
(0, 0)
Reasoning:
Y-intercept means set x to 0 and solve, therefore;
[tex]y=1/3(0) -1y[/tex]
[tex]y=0-1y[/tex]
[tex]2y=0[/tex]
[tex]y=0/2=0[/tex]
Thus, the y-intercept is (0,0)
I hope this helps you and good luck!
The students in Robbie's grade voted for a class field trip. 80% of the students
voted for the zoo. If there are 240 students in Robbie's grade, how many
students voted for the zoo?
220
192
144
200
Answer:
I believe it's 192
Step-by-step explanation:
What is the length of AC?
Round to one decimal place.
4.3
D
?
4.1
8
A
B
5.3
Answer:
5.5
Step-by-step explanation: :D
1. Express 0.00456 in standard form.
Answer:
Writing a number in standard form simply means to express the number in its 'normal' form. Therefore, your example is written in standard form.
Answer: 4.56 x 10^-3
Step-by-step explanation: To convert scientific notation to standard form, all you have to do is move the decimal to the left or the right until you get a number that is more than 1 and less than 10, then count however many spaces you had to move and add that as your exponent over 10 (if you move left, the exponent is positive, and right is negative). Basically, this just lets you know that the actual number is that many times smaller or larger than the number in your answer.
help would be really nice, this is timed.
solve the equation in the image below
Answer:
below
Step-by-step explanation:
the 8 is basically x sooooo
f (8) = 8+11
f(x) = 19
1. In the figure shown, e1 || 12. If m<3 = 83,
a. Determine the measures of the other seven angles in the figure
118
27
316
45
x Clear
Undo
- Redo
m <1 =
m <2 =
1
m <3 = 830
m <4=
m <5 =
m <6 =
m <7=
m <=
b. Choose one of the angle measures you found and justify your answer.
Answer/Step-by-step explanation:
Given:
m<3 = 83°
The following are the angle measures of the seven angles including the justification of each answer.
m<1 = m<3 (corresponding angles are congruent)
m<1 = 83° (substitution)
m<2 + m<3 = 180° (same side consecutive interior angles are supplementary)
m<2 = 180° - m<3 (Subtraction property of equality)
m<2 = 180 - 83
m<2 = 97°
m<4 + m<3 = 180° (linear pair)
m<4 = 180 - m<3 (Subtraction property of equality)
m<4 = 180 - 83 (substitution)
m<4 = 97°
m<5 = m<3 (vertical angles are congruent)
m<5 = 83°
m<6 = 180° - m<3 (linear pair theorem)
m<6 = 180 - 83°
m<6 = 97°
m<7 = m<3 (alternate interior angles are congruent)
m<7 = 83°
m<8 = m<6 (corresponding angles are congruent)
m<8 = 97°
PLZ HURRY IT'S URGENT!!!
The USC basketball team scored over 100 points in its last game. Some baskets were worth 2 points and others were worth 3 points. Which is a possible combination of the different baskets scored?
options:
20 two point shots
10 three point shots
25 two point shots
15 three point shots
15 two point shots
20 three point shots
25 two point shots
25 three point shots
The USC basketball team scored over 100 points in its last game. Some baskets, x, were worth 2 points and other baskets, y, were worth 3 points. Write an inequality to represent the score.
options:
2x+3y 100
2x+3y≤100
Answer:
25 two point shots
25 three point shots
2x+3y<100 is that the one missing the sign?
Step-by-step explanation:
25*2=50
25*3= 75
50+75= 125
2x+3y has to be over 100 points
so 2x+3y<100
In a sample of 57 temperature readings taken from the freezer of a restaurant, the mean is 29.6 degrees and the population standard deviation is 2.7 degrees. What would be the 80% confidence interval for the temperatures in the freezer?
Answer:
(29.14 ; 30.06)
Step-by-step explanation:
Given that'
Sample size (n) = 57
Mean (m) = 29.6
Population standard deviation (σ) = 2.7
Confidence interval = 80%
= (1 - 0.8) / 2 = 0.1
Mean ± z * σ/√n
Using the Z probability calculator : Z0. 1 = 1.28
Hence,
29.6 ± 1.28 * (2.7 / √57)
29.6 - (1.28 * 0.3576237) ; 29.6 + (1.28 * 0.3576237)
29.142241664 ; 30.057758336
(29.14 ; 30.06)
In how many ways can a store select 2 assistant managers out of 6 assistant managers to open and close the store?
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
6/2=3
Question
Oliver is a frequent visitor to More!, his favorite restaurant. Since it's introduction, Oliver has ordered the special offer More! For Less' menu every time.
Starter
Melon Balls
Salmon Mousse
Egg Mayonaisse
Main Course
Chicken and Mushroom Pie
Lasagne
Tuna Bake
Cheese and Onion Pie
Desert
Apple Pie
Chocolate Mouse
Ice Cream
He has now ordered from this menu 11 times without ever repeating his combination of choices for the 3 courses.
Note that 'mousse' and 'pie' appear more than once on this menu. In the same meal he doesn't want to choose pie twice or mousse twice.
How many more times can Oliver order from the 'More! For Less' menu before he must have a combination he has already eaten?
Answer:
A
Step-by-step explanation:
plz brainlest
Stephanie ate 12 of the 40 chips in a bag. What percentage of the chips did Stephanie eat?
Answer:
30%
Step-by-step explanation:
Answer:30%
Step-by-step explanation:
According to a zoologist's study, the equation yˆ=0.1651x+149.5738 models the weight of a baby giraffe, in pounds, during the giraffe's first 1000 days, where x is the number of days since birth.
According to this regression equation, what is the approximate weight of a baby giraffe 425 days after birth?
about 70 lb
about 105 lb
about 215 lb
about 220 lb
Answer:
220
Step-by-step explanation:
Answer:
220 lbs
Step-by-step explanation:
I took the test.