Answer:
A third is written as ¹/₃
Step-by-step explanation:
The way to understand this is the number on the bottom is the number of pieces being divided into;
So ¹/₃ is 1 whole divided into 3 parts;
So, you need 3 ¹/₃ parts to make a whole
[tex]a \ * \ \frac{b}{c} = \frac{ab}{c} \\\\ 3 \ * \ \frac{1}{3} = \frac{3 \ * \ 1}{3} \\\\ = \frac{3}{3} \\\\ = 1[/tex]
A car is being compacted into a rectangular solid. The volume is decreasing at a rate of 2 m3/sec. The length and width of the compactor are square, but the height is not the same length as the length and width. If the length and width walls move toward each other at a rate of 0.25 m/ sec, find the rate at which the height is changing when the length and width are 2 m and the height is 1.5 m.
Using implicit differentiation, it is found that the height is changing at a rate of -0.875 m/sec.
The volume of a rectangular solid of length l, width w and height h is given by:
[tex]V = lwh[/tex]
Applying implicit differentiation, the rate of change of the volume is given by:
[tex]\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}[/tex]
In this problem:
Volume is decreasing at a rate of 2 m3/sec, hence [tex]\frac{dV}{dt} = -2[/tex]The length and width walls move toward each other at a rate of 0.25 m/ sec, hence [tex]\frac{dl}{dt} = \frac{dw}{dt} = 0.25[/tex]Length and width are 2 m and the height is 1.5 m, hence [tex]l = w = 2, h = 1.5[/tex]Then:
[tex]\frac{dV}{dt} = wh\frac{dl}{dt} + lh\frac{dw}{dt} + lw\frac{dh}{dt}[/tex]
[tex]-2 = 2(1.5)(0.25) + 2(1.5)(0.25) + 2(2)\frac{dh}{dt}[/tex]
[tex]4\frac{dh}{dt} = -3.5[/tex]
[tex]\frac{dh}{dt} = -\frac{3.5}{4}[/tex]
[tex]\frac{dh}{dt} = -0.875[/tex]
The height is changing at a rate of -0.875 m/sec.
A similar problem is given at https://brainly.com/question/9543179
Please help my son asked me for this and I don't understand it.
Answer:
y = 2x + 3
Step-by-step explanation:
In the slope-intercept form of the equation of a line,
y = mx + b,
m = slope, and b = y-intercept.
Let's look at Adriana's equation and understand the parts:
y = 2x + 4
y = mx + b
m = slope = 2; b = y-intercept = 4
Now let's look at the description of Henry's equation.
He has the same slope as Adriana, so for Henry, m = 2 also.
His y-intercept is 1 less than Adriana's, so it is 1 less than 4. Henry's y-intercept is 3.
Now that we know that for Henry, m = 2, and b = 3, we can write his equation.
y = mx + b
y = 2x + 3
Answer: y = 2x + 3
Answer:
y=2x+3
Step-by-step explanation:
The answer is gonna be y=2x+3. The 2 is the slope so it needs to stay the same. the 4 in the original equation is the y intercept so to move it one unit lower you just subtract 1 and get your answer
Josie calculated 1/5+2/7 and said the answer was 2/7 explain how you know that Josie's answer dose not make sense
[tex]\stackrel{\textit{something added to it}}{\boxed{\cfrac{}{} \qquad }+\cfrac{2}{7}}\implies \stackrel{\textit{will be greater than }\frac{2}{7}}{\cfrac{2}{7}+\textit{that something}}[/tex]
Apply the distributive property to factor out the greatest common factor.
6+30=6+30
6 + 30
The greatest common factor is 6, so take it out. We get...
6 (1 + 5)
Let's verify it.
6 (1 + 5) = 6 + 30
6(6) = 6 + 30
36 = 36
LHS = RHS, Hence proved.
______
RainbowSalt2222 ☔
(?)(3x — 2)= 24x^2 — 16x
[tex]\boxed{?}(3x-2)=24x^2-16x\implies \boxed{?}=\cfrac{24x^2-16x}{3x-2}\\\\\\\boxed{?}=\cfrac{\stackrel{\textit{common factoring}}{8x~~\begin{matrix} (3x-2) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{~~\begin{matrix} 3x-2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies \boxed{?}=8x[/tex]
The original price of a dress is 95.00. A discount of 10% is offered for cash payment. How much does one save by paying cash for the dress?
Answer:
10% of 95 is 9.5
So 95 - 9.5 = 85.5
A particular county with a population of 7.9 million people. In that county, an average of 96 people per year die by falling from a balcony each year.Assuming that these figures are current, what is the probability that a randomly selected individual from this country will die by falling from a balcony in a given year? Express your answer as a decimal rounded to 8 decimal places. Do not convert it to a percentage
Answer:
7.9000000÷96
=0.0822916667
MARK ME BRAINLIEST PLS I WILL GET A NEW RANKWhitney and Destiny hung out at the mall on Saturday. They spent 45 minutes shopping for clothes and 1 hour at the food court. Then they spent 30 minutes at the video arcade before heading home. It was 12:45 P.M. when Whitney and Destiny left the mall. What time did they start shopping for clothes?
Answer:
11.15 i think
Step-by-step explanation:
draw a diagram for this fraction
2 2/3
Answer:
OOO
OOO
OO
Step-by-step explanation:
Where OOO is == 1.
OO is 2/3 of OOO.
A rectangular field is 350 meters long and 200 meters wide. What is the area of the field in square kilometers? Do not round your answer. Be sure to include
the correct unit in your answer.
0
km
km2
km
The area of the rectangular field is 0.07 square kilometers (km²).To find the area of the rectangular field in square kilometers, we need to convert the given dimensions from meters to kilometers.
To find the area of the rectangular field in square kilometers, we need to convert the given dimensions from meters to kilometers and then calculate the area.
Given:
Length of the field = 350 meters
Width of the field = 200 meters
To convert from meters to kilometers, we divide the measurements by 1000, since there are 1000 meters in a kilometer.
Length in kilometers = 350 meters / 1000 = 0.35 kilometers
Width in kilometers = 200 meters / 1000 = 0.2 kilometers
Now that we have the dimensions of the field in kilometers, we can calculate the area.
Area of the field = Length in kilometers * Width in kilometers
Area of the field = 0.35 kilometers * 0.2 kilometers
Multiplying the values, we get:
Area of the field = 0.07 square kilometers
Therefore, the area of the rectangular field is 0.07 square kilometers.
It's important to include the correct unit in the answer, which is "square kilometers" (km²). This represents the unit for measuring the two-dimensional area. In this case, the area of the field is 0.07 km².
For more such questions on area
https://brainly.com/question/25292087
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PLEASE HELP!!
Guys please help i need this
Answer:
Because they are both base angles of isosceles triangles
I
Graph the direct variation equation. Y=1/3x
Which graph is correct
I don’t wanna fail if you know the answer pls help me :(
Answer:
5.62790697674
Step-by-step explanation:
there you go
Answer:
the annswer is 5
Step-by-step explanation: you just have to divide the highlighted numbers, which are 20 ÷ 5
WHICH OF THE FOLLOWING IS NONLINEAR FUNCTION?
Answer:
Option A.
Step-by-step explanation:
Try To Cross Check It 1st
Will give Brainliest. Amoli and Ella are converting measurements between inches and feet. Amoli says that the constant of proportionality is 12. Ella says it is 1/12. Who do you agree with? Explain your thinking.
the sum of any 2 intergers is either postive or negative. true or false
Answer:
True.
Hope this helps.
what has a fraction in numerator, denominator or both???
henry is designing a tablecloth for his dining room table. He wants to buy fabric in his favorite color to make the tablecloth. use the dimensions below to determine how much fabric he need to buy. 12 feet 7 feet
Twenty-five students were randomly selected and asked "How many hours of TV did you watch this weekend?" The sample mean for the data is 5 hours.
The dotplot below shows the distribution of the sample mean hours of TV watched for 500 random samples of size 25 taken with replacement from the
original sample.
45
6
S.S
Simulated sample mean
Distribution of Simulated Mean
• samples mean SD
500 4.969 0.288
Use the results of the simulation to approximate the margin of error for the estimate of the mean number of hours of television watched. (answer in the
format 0.123)
Using a confidence level of 95%, the margin of error for the estimate of the mean number of television hours watched will be 1.129
The approximate margin of error can be calculated using the relation :
Margin of Error = [tex] Z_{\frac{α}{2}} \frac{σ}{\sqrt{n}} [/tex] Sample size, n = 25 Standard deviation, = 2.88Confidence level = 95% [tex] Z_{\frac{α}{2}} = 1.96 [/tex]Margin of Error = [tex] 1.96 \frac{2.88}{\sqrt{25}} [/tex]
Margin of Error = [tex] 1.96 \frac{2.88}{5} [/tex]
Margin of Error = [tex] 1.96 \times 0.576 [/tex]
Margin of Error = [tex] 1.129 [/tex]
Therefore, the margin of error for the estimate of the mean number of television hours watched is 1.129.
Learn more : https://brainly.com/question/25630111
1
73
Lech bought 8 t-shirts al
for the same proe. After
using a coupon that took $4
off the pnce, her told
before tax was $36. What
was the cost of each shirts
Answer:
[tex]t=5[/tex] dollars per t-shirt
Step-by-step explanation:
Read the problem and write your equation while following along with it
We have 8 t-shirts
Lets 8 t-shirts be represented by 8t
So for our equation we will place and [tex]8[/tex]
Our equation: [tex]8t[/tex]Now it says we have a coupon that subtracts 4 dollars from our total
Our equation: [tex]8t-4[/tex]The final part to add to our equation says that our total before tax was 36 dollars
So here is our equation: [tex]8t-4=36[/tex]add [tex]$[/tex][tex]4[/tex] to both sides
[tex]8t=40[/tex]
Divide both sides by [tex]8[/tex]
[tex]t=5[/tex] dollars per t-shirt
-Side note, make sure to spell your question right. It was a tad bit confusing to read at the start.
-Brainliest please :)
Please help me find my gpa I don’t know how
I have a C, A, B the rest are f
Answer:
Your GPA would be 1.5 If you have 6 periods.
Step-by-step explanation:
A = 4 GPA Points
B = 3 GPA points
C = 2 GPA Points
D = 1 GPA Points
F = 0 GPA Points
With that knowledge you calculate 2 (C) + 4 (A) + 3 (B) + 0 (F) + 0 (F) + 0 (F) assuming you have 6 periods which adds up to 9. You divide by the number of periods (6) totaling to 1.5 GPA Points.
I need 425 divided by 5 with the algorithm please!
Answer:
85
Step-by-step explanation:
I attached my work in a picture below!
Hope this helps :D
Rewrite 2/3 and 1/15 as a unit rate
Answer:
10:1
Step-by-step explanation:
Answer:
Step-by-step explanation:
The unit rate is found by dividing.
2/3 = 0.(6)
1/15 = 0.(6)
The primary difference(s) between the standard deviation and the coefficient of variation as measures of risk are:
the table shows the pricing for four different types of gasoline which type cost the least per gallon a $20.20 for 10 galb $26.04 for 12 gal c $28.14 for 14 gal d $30.45 for 15 gal
Answer:
A is the cheapest deal.
Step-by-step explanation:
find unit rate; cost / quantity
20.20 / 10 = $2.02 per gallon
26.04 / 12 = $2.17 per gallon
28.24 / 24 = $2.01 per gallon
30.45 / 25 = $2.03 per gallon
A line of a slope of 8 passes through the point (-6,4). What is its equation in point slope form?
Answer:
[tex]\huge\boxed{y-4=8(x+6)}[/tex]
Step-by-step explanation:
The equation of a line in the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]m-slope\\\\(x_1;\ y_1)-point[/tex]
We have:
[tex]m=8\\\\(-6;\ 4)\to x_1=-6;\ y_1=4[/tex]
Substitute:
[tex]y-4=8(x-(-6))\\\\y-4=8(x+6)[/tex]
NO LINKS!!!!
Consider the following sequence 4, 8, . . .
a. Assuming the sequence is arithmetic:
i. Write the next four terms
ii. What is the generator?
iii. Write a formula for t(n).
iv. Create a table and graph your sequence.
b. Assuming the sequence is geometric:
i. Write the next four terms
ii. What is the generator?
iii. Write a formula for t(n).
iv. Create a table and graph your sequence
9514 1404 393
Answer:
a. 12, 16, 20, 24; t(n)=4n
b. 16, 32, 64, 128; t(n)=2·2^n
Step-by-step explanation:
a. The difference of the given terms is 8-4=4, so the arithmetic sequence has a first term of 4 and a common difference of 4. The general term has the formula ...
t(n) = t(1) +d(n -1)
t(n) = 4 +4(n -1) . . . . . with t(1) and d filled in
t(n) = 4n . . . . . . . . . . simplified
This formula can be considered to be the generator of the sequence. For values of n from 3 to 6, the next four terms are ...
t(3) = 12; t(4) =16; t(5) = 20, t(6) = 24
A table and graph are shown in the first attachment.
__
b. The ratio of the given terms is 8/4 = 2, so the geometric sequence has a first term of 4 and a common ratio of 2. The general term has the formula ...
t(n) = t(1)·r^(n-1)
t(n) = 4·2^(n-1) . . . . . . . with t(1) and r filled in
t(n) = 2·2^n . . . . . . . . simplified
This formula can be considered to be the generator of the sequence. For values of n from 3 to 6, the next four terms are ...
t(3) = 16; t(4) = 32; t(5) = 64; t(6) = 128
A table and graph are shown in the second attachment.
The deepest point in the world is the Mariana Trench in the western Pacific Ocean. It is 36,198 ft below sea level. What integer represents this depth?
Answer:
-36,198 feet below sea level
Step-by-step explanation:
eight times a number
Answer:
Equals the same number 8 times itself, this is the equation: 8X.
Step-by-step explanation:
Answer:
Look down.
Step-by-step explanation:
8x1=8
8x2=16
8x3=24
8x4=32
8x5=40
8x6=48
8x7=56
8x8=64
8x9=72
8x10=80
I dont know if this is what you were asking for but its all yours now!
9 ⋅ (−4) ⋅ (−4) ⋅ (−7) = ?
20 pts
brainlyiest if correct
Answer:
The answer is -1008, it's in the comments
