Two boxes have the same volume. One box has a base that is 5cm by 5 The other box has a base that is 10cm by 10cm
How many times as tall is the box with the smaller base?
Answer:2
Step-by-step explanation:
Use the chain rule calculate dw/dr , dw/ds and dw/dt
W=in(x+2y+3z) , x=r^2 + t^2 , y =s^2 - t^2 , z=r^2 + s^2
Answer:
[tex]\frac{dw}{dr} = \frac{8\cdot r}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex], [tex]\frac{dw}{ds} = \frac{10\cdot s}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex], [tex]\frac{dw}{dt} = -\frac{2\cdot t}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex]
Step-by-step explanation:
We proceed to derive each expression by rule of chain. Let be [tex]w = \ln (x+2\cdot y + 3\cdot z)[/tex], [tex]x = r^{2}+t^{2}[/tex], [tex]y = s^{2}-t^{2}[/tex] and [tex]z = r^{2}+s^{2}[/tex]:
[tex]\frac{dw}{dr} = \frac{\frac{dx}{dr}+2\cdot \frac{dy}{dr} +3\cdot \frac{dz}{dr} }{x+2\cdot y + 3\cdot z}[/tex]
[tex]\frac{dx}{dr} = 2\cdot r[/tex]
[tex]\frac{dy}{dr} = 0[/tex]
[tex]\frac{dz}{dr} = 2\cdot r[/tex]
[tex]\frac{dw}{dr} = \frac{8\cdot r}{(r^{2}+t^{2})+2\cdot (s^{2}-t^{2})+3\cdot (r^{2}+s^{2})}[/tex]
[tex]\frac{dw}{dr} = \frac{8\cdot r}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex] (1)
[tex]\frac{dw}{ds} = \frac{\frac{dx}{ds}+2\cdot \frac{dy}{ds} +3\cdot \frac{dz}{ds} }{x+2\cdot y + 3\cdot z}[/tex]
[tex]\frac{dx}{ds} = 0[/tex]
[tex]\frac{dy}{ds} = 2\cdot s[/tex]
[tex]\frac{dz}{ds} = 2\cdot s[/tex]
[tex]\frac{dw}{ds} = \frac{10\cdot s}{(r^{2}+t^{2})+2\cdot (s^{2}-t^{2})+3\cdot (r^{2}+s^{2})}[/tex]
[tex]\frac{dw}{ds} = \frac{10\cdot s}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex] (2)
[tex]\frac{dw}{dt} = \frac{\frac{dx}{dt}+2\cdot \frac{dy}{dt} +3\cdot \frac{dz}{dt} }{x+2\cdot y + 3\cdot z}[/tex]
[tex]\frac{dx}{dt} = 2\cdot t[/tex]
[tex]\frac{dy}{dt} = -2\cdot t[/tex]
[tex]\frac{dz}{dt} = 0[/tex]
[tex]\frac{dw}{dt} = -\frac{2\cdot t}{(r^{2}+t^{2})+2\cdot (s^{2}-t^{2})+3\cdot (r^{2}+s^{2})}[/tex]
[tex]\frac{dw}{dt} = -\frac{2\cdot t}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex] (3)
PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!
if you have four properties to do this week and the four properties have 45 square feet 100 square feet is 200 square ft and 300 square feet of yard what will be the total cost for the lawn care be this week
Answer:
Step-by-step explanation:
Square footage. ft². lock autosave. If you need to calculate the square footage of the floor's area, check out our square footage calculator.
Please help me with this question, no links please, thank you!!!
A school has all of the students in grade 7 take a spelling test. Several samples are taken from the results. Which of the following samples is NOT likely to produce a representative sample of the population?
Group of answer choices
20 students who have science first period.
3 students who were in the final round of the spelling bee.
15 students whose name begins with N.
40 students who say math is their least favorite subject.
Answer:
15 students whose name begins with N
Step-by-step explanation:
This is not a valid representative sample.
Find the missing value to the nearest whole number sin17 = x7
Answer:
the nearest value is 1700
Answer:
-7
Step-by-step explanation:
Which expression will complete step 3 in the proof? sin2(x) 2sin(x) 2sin(x)cos(x) sin(x)cos(x) + sin(x)
Answer:
It's D
Step-by-step explanation:
Edge 2021
The complete step 3 in the proof is 2sin(x) {1+ cos(x)}.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is the number used before a phrase.
Given expression:
sin2(x) + 2sin(x)
This is the first step.
And the second step is given,
2sin(x)cos(x) + 2sin(x)
And to find the third step:
Simplify,
Factor out the common factor,
2sin(x) {1+ cos(x)}.
Therefore, the required step is 2sin(x) {1+ cos(x)}.
To learn more about the expression;
brainly.com/question/24242989
#SPJ2
pls help me i’ve been having a hard time understanding this and i really really need help
Answer:
0
Step-by-step explanation:
the initial value is just the base line
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
G is the same as the other one so it's also 129. Their angle relationship are verticle angles.
What type of triangle is shown below?
73
90°
17
A. Acute
B. Obtuse
C. Right
D. Equilateral
Answer:
The answer is C. Right
Choose all of the statements that correctly compare the two functions shown.
Alec's rate of savings is greater than Beth's.
entific
Alec and Beth are saving at the same rate.
Alec started with more money than Beth
mulas
Time
maining
:19:23
Beth started with more money than Alec,
de les
At 10 days, Alec will have $1 more than Beth in savings,
Answer:
b, c and e
Step-by-step explanation:
Given
See attachment for functions
Required
Select all statements that contain both functions
First, calculate the rate (slope) of both functions.
This is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
For Alec's
[tex](x_1,y_1) = (0,3)[/tex]
[tex](x_2,y_2) = (2,9)[/tex]
So, the slope is:
[tex]m = \frac{9 - 3}{2 - 0}[/tex]
[tex]m = \frac{6}{2}[/tex]
[tex]m =3[/tex]
For Beth's
[tex](x_1,y_1) = (5,17)[/tex]
[tex](x_2,y_2) = (12,38)[/tex]
So, the slope is:
[tex]m = \frac{38 - 17}{12 - 5}[/tex]
[tex]m = \frac{21}{7}[/tex]
[tex]m =3[/tex]
Beth and Rec have the same slope. Hence, they save at the same rate.
Next, determine the amount they started with.
This implies that we calculate y when x = 0
From Alec's graph.
[tex](x,y) = (0,3)[/tex]
Alec's initial savings is 3
For Beth's savings, we make use of slope formula.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex](x_1,y_1) = (5,17)[/tex]
[tex](x_2,y_2) = (0,y)[/tex]
So, we have:
[tex]3 =\frac{y - 17}{0 - 5}[/tex]
[tex]3 =\frac{y - 17}{ - 5}[/tex]
[tex]y - 17 = -15[/tex]
[tex]y = 17 -15[/tex]
[tex]y = 2[/tex]
Beth's initial savings is 2
Hence, Alec started with more money
Next, is to determine who has more money after 10 days.
Since they save at the same rate, the difference in their savings after any number of days will be the difference in their initial savings.
The difference (d) is calculated as:
[tex]d = 3 - 2[/tex]
[tex]d = 1[/tex]
Hence, Alec will have $1 more than Beth after 10 days
Answer:
its bc and e or Alec and Beth are saving at the same rate. Alec started with more money than Beth. and At 10 days, Alec will have $1 more than Beth in savings.
Step-by-step explanation:
Pablo and his classmates are collecting aluminum cans to be recycled the box plot shows the data for the number of cans collected by each student
Answer:
A. The median of the data values is 16.
Step-by-step explanation:
Answer:
A - 16
Step-by-step explanation:
Does anyone know what the answer is I need help pls
Answer:
x=15
Step-by-step explanation:
If each of those expressions is the measure of each arc of the circle, when added together they should equal 360
8x-10+6x+10x+10=360
24x=360
x=15
(3x^2+4x-8)-(-2x^2+4x+2)
Answer:
√2
Step-by-step explanation:
3x^2+4x-8+2x^2-4x-2
5X^2-10
5x^2=10
X^2=10/5
X^2=2
X=√2
For the population of all college students currently taking a statistics course, you want to estimate the proportion who are women. You obtain a simple random sample of statistics students at Broward College in Florida. Is the resulting sample proportion a good estimator of the population proportion of all college statistics students
Answer:
No
Step-by-step explanation:
To estimate population proportion from a sample, we must ensure that the sample data is random. Though a simple random sample of college students from a particular college was used as the sample data. However, selection of the college should have been randomized as well, a stratified random sample would have been a better sampling method whereby certain colleges are selected based on region or other criteria and then a random sample of it's statistics students selected. The sample proportion Obtian from a sample of this nature will be more representative of the population proportion of all college statistic student.
What is the area of the trapezoid? The diagram is not drawn to scale.
9 cm
4 cm
5 cm
O14 cm2
O 20 cm2
O 38 cm2
O 56 cm2
Answer:
56sq. cm
Step-by-step explanation:
Area of a trapezoid = 1/2(a+b)h
a and b are the parallel sides
h is the height of the trapezoid
Find the f=diagram attached. from the diagram
a = 9cm
b = 5 + 9 + 5 = 19cm
h = 4cm
Substitute
Area of the trapezoid = 1/2 * (9+19)*4
Area of the trapezoid = 1/2 * 28 * 4
Area of the trapezoid = 28 * 2
Area of the trapezoid = 56sq. cm
Question 5 (2 points)
Given the function rule y = 3x + 11, what is the value of y if x = 27
Answer: Y=83
Step-by-step explanation:
Answer:
y = 92
Step-by-step explanation:
plug in x = 27 into the equation y = 3x + 11,
y = 3(27) + 11
=> y = 81 + 11
=> y = 92
A number cube labeled one though six is rolled and a letter is selected from the word MUSIC. Find each probability.
P(2 and S)
a.
b.
c.
d.
HELP
Answer:
64/77
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
2/6*1/6= 2/12
When you simplify 2/12 you get 1/6
Mrs. Smith cut an apple pie into 8 slices and a blueberry pie into 12 slices. She served
6 slices of the apple pie and 7 slices of the blueberry pie. Which correctly compares the
amounts of pie Mrs. Smith served?
Answer:
6/8>7/12
Step-by-step explanation:
6/8>7/12
36/48>28/48
I think
Find the value of 3/x+7
if X= 25.
A) 32
B) 82
C) -8
D) 22
Answer:
32
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
If evaluated this is the answer!
Maya read 3535 pages in \frac{4}{5}
5
4
of an hour. If she continues reading at the same rate, how many pages will she read in an hour?
Question for the Poster: Can I get brainliest,Thanks.Please type your questions with correct spelling so you can get your question answered to the best of everyone's ability
Answer:Maya reads 43 and 3/4 or 43.75 pages in 1 hour(or 44 pages per hour)
Original price of a computer: $2,600.00
Tax: 6%
What is the sales tax for this computer?
Answer:
2,600.6
I think its 2,600.6 because 6% is 6 dollers I dont know if I am correct lol! but have a nice day! =)
help me please!
game board has a
spinner with 10 equal-sized sections, of which
4 are green, 3 are blue, 2 are yellow, and 1 is
red. What is the sum of the probabilities of the
pointer landing in the green, blue, yellow, and
red sections? Explain.
Answer:
1 or 100%Step-by-step explanation:
There are 4 colors and if the sum of the probabilities involves all those colors, then it equals to 1.
Calculation as below:
P(g) = 4/10P(b) = 3/10P(y) = 2/10P(r) = 1/10The sum is:
4/10 + 3/10 + 2/10 + 1/10 = 10/10 = 1Express as a trinomial.
(x + 4)(x - 1)
Answer:
x^2+3x−4
Step-by-step explanation:
If this circle has a radius of 7.4 and m
intercepted sector (shaded blue). Round answers to two decimal places.
Use the r button on your calculator.
Answer:
Gddghdhdhdhy heifer here early enough h her y
quadrilateral PQRS has coordinates P(-5, -2), Q(-2, -2), R(-4, -6) and S(-7, -6). Where is P' after quadrilateral PQRS is reflected over the x-axis? PLEASE HELP!!! QUICK
A. (-5, 2)
B. (5, 2)
C. (5, -2)
D. (-2, 5)
Find the distance between (1, 2) and (5,5).
Answer:
The distance is 5 units
Step-by-step explanation:
Use the distance formula to find the distance.
Find the area of the shaded region.
Answer:
48 yd²
Step-by-step explanation:
The shaded region is a trapezoid
Area of shaded region = area of the trapezoid
Area of trapezoid = ½(a + b)h
a = 6 yd
b = 10 yd
h = 15 - 9 = 6 yd
Area of trapezoid = ½(6 + 10)6
= ½(16)6
= 48 yd²
Area of the shaded region = 48 yd²
Find the sum of the angle measure of a hexagon
Answer:
120°
Shape Sides Each Angle
Hexagon 6 120°
If AABC ~ AEDC, find the value of x.
a. 32
5.8
C. 40
d. 15
Answer:
x = 15
Step-by-step explanation:
If ABC similar to EDC then we can use the similarity ratio to find the value of x
32/(3x-5) = 56/(5x-5) cross multiply the fractions
160x - 160 = 168x - 280 export like terms to the same side of the equation
280 - 160 = 168x - 160x
120 = 8x divide both sides by 8
15 = x