Answer:
The area is changing at the point of [tex]\mathbf{61200 m^2/year}[/tex]
Step-by-step explanation:
From the given information:
Let's recall from our previous knowledge that the formula for finding the area of a rectangle = L × w
where;
L = length and w = width of the rectangle
Suppose the Length L is twice the width w
Then L = 2w --- (1)
From The area of a rectangle
A = L × w
A = 2w × w
A = 2w²
Taking the above differentiating with respect to time
[tex]\dfrac{dA}{dt }= 4w \times \dfrac{dw}{dt} --- (2)[/tex]
At the time t
[tex]\dfrac{dw}{dt}= 34 m \ per \ year ; w = 450 \ m[/tex]
Replacing the values back into equation 2, we get:
[tex]\dfrac{dA}{dt }= 4 \times 450 \times 34[/tex]
[tex]\mathbf{\dfrac{dA}{dt }= 61200 m^2/year}[/tex]
Suppose that 8 cards are drawn from a well-shuffled deck of 52 cards. What is the probability that all 8 are black? The probability is (Round to six decimal places as needed.)
Answer:
0.0020760077
Step-by-step explanation:
The probability of drawing the first black card is 26/52 because there are 26 of them in a deck of 52.
The probability of drawing the second black card is 25/51 because there are 25 of them in a deck of 51.
The probability of drawing the third black card is 24/50 because there are 24 of them in a deck of 50.
And so on and so forth, now we just have to multiply the 8 fractions together:
26/52*25/51*24/50*23/49*22/48*21/47*20/46*19/45=
[tex]\frac{26}{52} *\frac{25}{51} *\frac{24}{50}* \frac{23}{49} *\frac{22}{48} *\frac{21}{47} * \frac{20}{46} * \frac{19}{45}[/tex]= 0.0020760077
Noah has a coupon for 30% off at his favorite clothing
store. He uses it to buy a hoodie and a pair of jeans.
The regular price of a hoodie is $27. What did Noah
pay for the hoodie?
Answer:
18.9 i think
Step-by-step explanation:
Answer: $11.04
Step-by-step explanation:
30% of 28 would be 11.4 but then convert it to money
1 whole number 11/17-19/17 find the l.c.m
The answer fam is......... 8/17
9
1 point
What postulate or theorem justifies the congruence statement AABE – ACDE?
B
x
SSS
SAS
ASA
AAS
Answer:
okay i will answer but i dont see the question
Step-by-step explanation:
Juan's book has 248 pages this is 10 more pages than there are in Kevin's book how many pages are in Kevin's book
Answer:
238
Step-by-step explanation:
juans has 10 more than kevin's, so you just subtract 10 from 248, getting 238
Find the value of d such that the system of equations 15x + 10y=-11 and -9x+DT=-19
Answer:
1. 15x + 10y=-11
15x + 10y + 11=-11 + 11
15x + 10y + 11 = 0
2. -9x + DT = 19
-9x = 19 - DT
x = 19/9 + 1/9DT
x = 19/9 + 1/9DT, D∈ℝ, T∈ℝ
Answer the picture please and thank you!! :))
Answer:
B. 34º
Step-by-step explanation:
So we know that a straight line is equal to 180º and we already have to measure of angle 2. So to find the angle of measure 1, we just subtract 146 from 180.
180 - 146 = 34
So the measure of angle 1 is 34º.
Now, because of alternate exterior angles, we know that they would be the same. SO m∠7 = 34º
In a fourth grade class, four-sixths of the students are girls. If there are 20 girls, what is the total number of
students in the class?
students
Answer:
30 students.
Step-by-step explanation:
Since 20 girls make up 4/6 of the class, 1/6 of the class would be 5 students. 5*6=30, resulting in 30 students total.
Someone please help me
When you divide 7.7 by 700, how many decimal places will the quotient have?
which is the equation of this best line of fit?
Answer:
D) y = 5x + 25
Step-by-step explanation:
the line of fit is defined by y = mx + b where:
m = the slope of the line (the rate of change)
b = the y-intercept (where it crosses the y-axis)
We see that for every 1 unit the graph moves horizontally... it moves 5 units vertically, thus we are given m = 5
If you look at the y-axis... we can determine that the graph crosses the y-axis at (0, 25), thus we are given b = 25
Therefore, the answer is y = 5x + 25
Greg spent 6.4 hours working with his dad one Saturday. If his dad paid him$45.76, how much did Greg make per hour?
Answer:
$7.15
Step-by-step explanation:
The best way to solve this is by crossing out the data you don't need so you're left looking at the key pieces to put the equation together. If his dad paid him $45.76 for 6.4 hours, then all you need to do is divide 45.76 by 6.4. (Hint: Use a calculator, it makes it ten times faster than trying to write it out!)
45.76 ÷ 6.4 = 7.15
So Greg made $7.15 an hour working with his dad.
2/3p+3. p=3/5
What is the Answer to what
Step-by-step explanation:
2/3p+3
where p=3/5
substitute p into 2/3p + 3
2/3(3/5) + 3
2/(9/5) + 3
10/9 + 3
10+3)/9
13/9
1 4/9
-4 2/7 divided by 1 1/3 =
Answer: hmm..... –3 3/14
Step-by-step explanation:
Can some one help me find x?
Answer:
x = 20
Step-by-step explanation:
Exterior angles are equal.
7x - 3 = 6x + 17
Add 3 and subtract 6x to both sides.
x = 20 is the answer.
Solve four ninths minus four tenths equals blank.
Help Me ASAP
Answer:
4/9
Step-by-step explanation:
A parabola can be drawn given a focus of (5, -7) and a directrix of x=1. Write the equation of the parabola in any form.
Answer:
x = 1/8(y^2 + 14y + 73)
Step-by-step explanation:
Take any point on the curve (x, y). This is a parabola that opens to the right and contains terms in x and y^2.
The distance of this point from the focus = its distance from the directrix, so:
sqrt [( x - 5)^2 + (y + 7)^2) = (x - 1)
Squaring both sides:
(x - 5)^2 + (y + 7)^2 = (x - 1)^2
x^2 -10x + 25 + y^2 + 14y + 49 = x^2 - 2x + 1
y^2 + 14y + 73 = 8x
x = 1/8(y^2 + 14y + 73)
what number is represented by this number discs
Answer:
15
Step-by-step explanation:
Is 1¾ a rational numbers
Answer:
Yes 1¾ is a rational number
Step-by-step explanation:
1¾ is written as a fraction of two integer and is therefore rational.
Solve for y: 4(y + 1) - 8 =
4y + 13
Factor the expression 42a+14b using the gcf
Please figure this out quickly
If you are trying to factor it is 14(3a+b).
But if you are looking for the greatest common factor it is 14.
The GCF of 42a + 14b is 14 which is 14(3a + b).
What is GCF?GCF stands for the greatest common factor of two or more two given terms. A number is GCF of two or more than two terms is the highest term that divides the given terms completely.
Given, 42a + 14b and we have to factor this with a GCF.
In terms of variables a and b, there is no common factor.
In terms of 14 and 42 GCF is 14 as 14 is the highest no. that divides these two nos. completely.
So, 42a + 14b.
= 14(3a + b).
learn more about GCF here :
https://brainly.com/question/11444998
#SPJ2
2. Let f(x) = 2x2 + 2. Find each of the following:
a. f(-3)
b. f(6)
c. f(-1)
d. f(4)
Which of the following shows 4x+23+7x-12+y in simplest terms
Answer:
11x+25+y
Step-by-step explanation:
If you simplify, you get...
(4+7)x+(23+12)+y
11x+25+y
Hope I helped!
What percentage is 14 of 28? *
75%
60%
50%
45%
The answer for the percentage of 14 and 28 is 50%.
valor de x de (5x-20) 85
Need a favor!
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2 and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all your work.
Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sentences.
Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a piece of paper and scan your work or you may use graphing technology.
Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different.
Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.
graph of line going through ordered pairs (0, 300) and (450, 0)
Use this picture and help please
Answer:
This would be 55 degrees because the sum of angles A, B and C = 180 degrees
A number is at least -6
Answer:
X < -6
( put a line underneath the less than sign )
Step-by-step explanation:
Hope this helped, Have a Wonderful Day/Night!!!
is 2,107,954 even or odd
Answer:
Even
Step-by-step explanation:
Ends in 4
Answer:
even
Step-by-step explanation:
can be divided by 2
Georgia is making fruit punch. She uses 650 milliliters
of grape juice, 830 milliliters of apple juice, and 520
milliliters of cherry juice. How many liters of fruit punch
does she make? (page 323 for Conversion Chart)
Answer:
2 liters
Step-by-step explanation:
650ml + 830ml + 520ml = 2000ml
2000/1000 = 2 liters
