Answer:
2,000/15=133.333333333
Step-by-step explanation:
The length of a rectangle is increasing at a rate of 1 meter per day and the width is decreasing at a rate of 2 meters per day. When the length is 8 meters and the width is 18 meters, then how fast is the AREA changing?
Answer:
The area is changing at 2 m²/d.
Step-by-step explanation:
The area of a rectangle is given by:
[tex] A = l*w [/tex]
Where:
l is the length
w is the width
We have that the length is increasing at a rate:
[tex] \frac{dl}{dt} = 1 \frac{m}{d} [/tex]
And the width is decreasing at a rate:
[tex]\frac{dw}{dt} = -2 \frac{m}{d}[/tex]
The change in the rectangle's area is the following:
[tex] \frac{dA}{dt} = w\frac{dl}{dt} + l\frac{dw}{dt} [/tex]
When the length is 8 meters and the width is 18 meters we have:
[tex] \frac{dA}{dt} = 18 m*1\frac{m}{d} + 8 m(-2 \frac{m}{d}) [/tex]
[tex] \frac{dA}{dt} = 18 \frac{m^{2}}{d} - 16 \frac{m^{2}}{d} [/tex]
[tex] \frac{dA}{dt} = 2 \frac{m^{2}}{d} [/tex]
Therefore, the area is changing at 2 m² per day.
I hope it helps you!
a bag of trail mix contain 3 ounces of peanuts, 6 ounces of cranberries, 2 ounces of almonds and 2 ounces of raisins. what is the ratio of ounces of peanuts to ounces of almonds? write the ratio in the three different ways?
9514 1404 393
Answer:
3 : 23/21.5Step-by-step explanation:
Ratios can be written using a colon, division symbol, or as a pure number. (Consult your curriculum materials to see what their take on it is.)
3 ounces of peanuts to 2 ounces of almonds can be written as ...
peanuts : almonds = 3 : 2 = 3/2 = 1.5
im so stupid i need help 14.7 ÷ 7= what equation/
Use this chart to help solve the problem.
Tonya's age (yr.)
Tonya's height (in.)
3
36.8
4
40
5
41.25
6
45
7
48.0
8
51.5
Tonya grew 2.25 more inches before her 9 year height was recorded. What is her height at age 9
written with the correct number of significant digits?
Answer:
Tanya's height at age of 9 is 53.75 inches
Step-by-step explanation:
Tonya's age (yr.) Tonya's height (in.)
3 36.8
4 40
5 41.25
6 45
7 48.0
8 51.5
Tanya's height at the age of 8 = 51.5
We are given that Tonya grew 2.25 more inches before her 9 year height was recorded.
So, Tanya's height at age of 9 = 51.5+2.25
Tanya's height at age of 9 =53.75 inches
Hence Tanya's height at age of 9 is 53.75 inches
Omar has a score of 12 in a bean bag toss game. On his next tuRn he gets -8 points. Use the bar model to write an addition sentence that shows Omar’s score now.
Answer:
12+-8=4
Step-by-step explanation:
this would be that same as 12-8=4, just keep the numbers but flip the negative into a positive number then change the equation into a subtraction problem if this confuses you.
Every Sunday, Tamika sells pieces of homemade fudge at a local carnival. Each piece of fudge weighs 34 pound. Next Sunday, Tamika plans on
bringing 712 pounds of homemade fudge to sell.
How many pieces of fudge will Tamika be able to sell at the carnival next Sunday?
Answer:
The answer is c. 5 5/8.
Step-by-step explanation:
Its c because your supposed to multiply them. When you multiply them you get 5 5/8. Hope this helped,have a great day!
Evaluate functions from their graph
Answer:
f(1) = 1
Step-by-step explanation:
To evaluate a function, you see the y value it gives when you plug in the x value.
When you plug in 1 for the x value, the y value is also 1, so f(1) = 1
Points W. X, and Y are collinear Point X is between points W X, and Y, are collinear point x is between w and y WX = 3y + 11, WY = 6y - 25, and XY = y + 12. Find WX, XY, and WY.
Answer:
[tex]WX = 83[/tex]
[tex]WY = 119[/tex]
[tex]XY = 36[/tex]
Step-by-step explanation:
Given
[tex]WX = 3y + 11\\WY = 6y - 25\\XY = y + 12[/tex]
Required
Determine the values of WX, XY and XY
Since X is between W and Y, we have:
[tex]WY = WX + XY[/tex]
[tex]6y - 25 = 3y + 11 + y + 12[/tex]
Collect Like Terms
[tex]6y - 3y - y = 25 + 11 + 12[/tex]
[tex]2y = 48[/tex]
Solve for y
[tex]y = 48/2[/tex]
[tex]y = 24[/tex]
Substitute 24 for y in
[tex]WX = 3y + 11\\WY = 6y - 25\\XY = y + 12[/tex]
[tex]WX = 3 * 24 + 11[/tex]
[tex]WX = 83[/tex]
[tex]WY = 6 * 24 - 25[/tex]
[tex]WY = 119[/tex]
[tex]XY = 24 + 12[/tex]
[tex]XY = 36[/tex]
(3.8 x 10^5) + (5.7 x 10^5) answer in scientific notation
A large manufacturing company models the number of workers it hired each year after 2010 using the function shown on the graph.
Answer:
350 and is not
Step-by-step explanation:
just took the test
Answer:350 and is not
Step-by-step explanation:
Evaluate -2a + b for a = -7 and b =-5
Answer:
9
Step-by-step explanation:
-2a + b
-2 (-7) + -5
14 + -5
9
In the number 65.784, what place is the 7 in?
Answer: tenths
Step-by-step explanation:
Answer:
TENTHS
Step-by-step explanation:
Help asap thanks in advance
Answer:
a: 25200
b: -450
c: 56
d: 0<t<56
e: 0<t<25200
what is the slope of (-3,4) (-2,0)
Answer:
m = − 4
Step-by-step explanation:
Use the slope formula to find the slope m
Hope this helps :)
There are 8 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are possible
Answer:
56 possible different subcommittees
Step-by-step explanation:
This is a combination problem.
In combination probability, the formula is;
nCr = n!/((n - r)! × r!)
Now, out of the 8 members on the board of directors, they now want to form a subcommittee of 3 members.
Thus, the different subcommittees possible is given by;
8C3 = 8!/((8 - 3)! × (3!)) = 56
Thus, there are 56 possible different subcommittees
please please please please please
heeeeeeeeelp
Answer and I will give you brainiliest
9514 1404 393
Answer:
your marked choice is correct: x = e
Step-by-step explanation:
For the line to go through the origin, the ratio of ln(x) to x at the point must equal the slope at the point.
The slope of ln(x) is 1/x, so we require ...
ln(x)/x = 1/x
ln(x) = 1 . . . . . . multiply by x
x = e . . . . . . . . take antilogs
There are 15 students on the debate team. Of these, 3 are boys. Give the ratio of boys to girls on the debate team in simplest form.
Answer:
1/4
Step-by-step explanation:
15 - 3 = 12
3 : 12
1 : 4
In its most basic form, the debate team's male-to-female ratio is 1/4.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
given, There are 15 students on the debate team. Of these, 3 are boys.
Since there are 3 boys out of 15
Thus,
Number of girl = 15 - 3
Number of girls = 12
Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B.
thus,
The ratio of boys to girls = 3/12
the Ratio of boys to girls = 1/4
therefore, the ratio of boys to girls on the debate team in simplest form is 1/4.
Learn more about ratios here:
https://brainly.com/question/13419413
#SPJ2
what type of number is -16 square root
Answer:
Irrational Number
Step-by-step explanation:
The irrational numbers are those that cannot be expressed as a ratio of two integers. Examples are as well as the square roots of many other numbers, and special numbers like e and π. It turns out that there are as many irrational numbers as rational. Irrational numbers have no exact decimal equivalents.
Hope this helps (:
Answer:
Irrational number
Step-by-step explanation:
i had it on khan academy
A pizza restaurant has 63
2/3 cups of flour. Each batch of pizza dough uses 5 1/4 cups of flour.
Answer:
12 i think
Step-by-step explanation:
Answer:
I need help with this!!!!!
Step-by-step explanation:
The other person said 12 but how what if its not. ?
ah
nsjakensnsjskdkdkdjjsjsjshshsjzjs
Answer:
Step-by-step explanation:
There is a paper attached only 5 questions :)
Answer:
Question 1: 20,160 cookies
Question 2: 37,600 letters
Question 3: 252,396 squares on each tablecloth
Question 4: 138,762 points
Question 5: 4,652,352 shrimp
Step-by-step explanation:
Question 1: Multiply 315 and 64 to get amount of cookies
Question 2: Multiply 940 and 40 to get the number of letters
Question 3: Multiply 36 and 7,011
Question 4: Multiply 26 and 5,337 to get the number of points
Question 5: Multiply 96 and 48,462 to get the number of shrimp the chef prepared.
:)
Rewrite 3^-7 using a positive exponent.
Answer: 1/3^7
Step-by-step explanation:
Mike wanted to purchase a couch for $350.00 and realized the couch was on sale for 25% off. How much would Mike pay for the couch, before taxes, once the discount was applied?
$87.50
$262.50
$349.75
$437.50
Answer:
87.50
Step-by-step explanation
Which ordered pair is in the solution set of the system of linear inequalities graphed below?
(0,2)
(2,4)
(-2,-4)
(-1,2)
Answer:
(0,2)
Step-by-step explanation:
Simplify the compound fractional expression.
(x-(x/y) / (y-(y/x)
Answer:
The simplified form of the compound fractional expression is [tex]\frac{x^2(y-1)}{y^2(x-1)}[/tex].
Step-by-step explanation:
Simplify the fraction as shown:
[tex]\dfrac{x-\frac{x}{y} }{y-\frac{y}{x} }[/tex]
Take the LCM.
[tex]\dfrac{\frac{xy-x}{y} }{\frac{xy-y}{x} }[/tex]
Simplify,
[tex]\frac{xy-x}{y} \times\frac{x}{xy-y}[/tex]
[tex]\frac{x^2(y-1)}{y^2(x-1)}[/tex]
Hence, the simplified form of the compound fractional expression is [tex]\frac{x^2(y-1)}{y^2(x-1)}[/tex].
estimated answer for 3 3/7 x 1 3/4 simplify and type a whole number
Answer:
6
Step-by-step explanation:
3 3/7 * 1 3/4
~Turn into improper fractions
24/7 * 7/4
~Multiply both numerators and denominators.
168/28
~Simplify
6
Best of Luck!
The size of the deer population at a national park increases at the rate of 4.9% per year. If the size of the current population is 153, find how many deer there should be in 6 years. Use y=y0e0.049t and round to the nearest whole number. Question 6 options: a) 205 b) 203 c) 210 d) 209
Answer:
Im a be honest it either 203 or 205 Im leaning towards 205
Step-by-step explanation:
write each precent as a fraction in simplest from. 2%=
Answer:
1/500
Step-by-step explanation:
Answer:
1/5 i think
Step-by-step explanation:
A bookshelf at a bookstore is 3 feet 9 inches wide. There are 18 copies of the same book on the shelf, which fit the shelf exactly. What is the width of 1 of the books?
Answer:
5 / 2 inches OR 2.5 in
Step-by-step explanation:
3 ft 9 in = 45 inches
45in/18 books
5 in / 2 book
For the y-values in the given in the table, add x-values that will eliminate the set of ordered pairs as being a function. State the four c-values. X, Y 9,2,6,11
The x-values could be 1,3,1,3 because this would eliminate it fom being a function.