The EverGlow nuclear power plant releases water into Lake Fishbegone every afternoon at 4:51 p.m. Environmental researchers are concerned that fish are being driven away from the area around the plant. They believe that the temperature of the water discharged may be a factor. The data table below gives the temperature of the water released by the plant and the measured distance (in meters) from the outflow pipe of the plant to the nearest fish found in the water on several randomly chosen afternoons. A scatterplot of the data and the least-squares regression line are given.
What is the slope of the least-squares regression line? *
A. -74.704
B. 5.791
C. 12.196
D. 0.946
9514 1404 393
Answer:
B. 5.791
Step-by-step explanation:
The slope of the line is the coefficient of x in its equation. The equation is ...
ŷ = -74.704 +5.791x
The coefficient of x, the slope, is 5.791.
A floor is made up of 20 triangular tiles, each with sides 40 cm, 24 cm and 32 cm. Find the cost of polishing the floor at the rate of 2 rupees per sq.cm.
Answer:
[tex]15360\,\,rupees[/tex]
Step-by-step explanation:
Let sides of the triangle be [tex]a,b,c[/tex]
[tex]a=40\,,\,b=24\,,\,c=32[/tex]
Semi-perimeter (s) = [tex]\frac{a+b+c}{2}[/tex]
[tex]=\frac{40+24+32}{2}\\ =\frac{96}{2}\\=48[/tex]
Area of one tile [tex]=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
[tex]=\sqrt{48(48-40)(48-24)(48-32)}\\ =\sqrt{48(8)(24)(16)}\\ =\sqrt{147456} \\=384\,\,cm^2[/tex]
So,
Area of 20 tiles [tex]=20(384)=7680\,\,cm^2[/tex]
Cost of polishing the floor at the rate of 2 rupees per sq.cm = [tex]7680(2)=15360\,\,rupees[/tex]
Evaluate this exponential expression. 4^5
Answer:
1024
Step-by-step explanation:
4⁵ is 4 multiplied 5 times.
4⁵ = 4 · 4 · 4 · 4 · 4
16 · 4 · 4 · 4
64 · 4 · 4
256 · 4
1024
is (5 , -11) a solution to a function y= -2x+1
Answer:
No
Step-by-step explanation:
y = -2x + 1
(-11) = -2(5) +1 \ Plug-in the values from the point given
-11 = -10 + 1 \ Reduce
-11 = -9 \ Simplify
-11 ≠ -9 \ Determine the valididity
The Castillo de San Marcos is a Spanish
fortress that was built between 1672
and 1695.
a. Rounded to the nearest ten
thousand, how many pesos did it
cost to build the fortress?
It cost 138,375
pesos to build this
fortress
b. How many years did it take to build
the fortress?
Answer:
a. 14,000 pesos
b. 23 years
Step-by-step explanation:
Ian walks down a sloped path. After 6 minutes, he is 3 m above street level. Write the equation in slope-intercept form of the line that represents Ian’s height above street level, y, over time x, if he knows the path is parallel to another path with equation y = -2/3x + 12
Answer:
y=-2/3x+7
Step-by-step explanation:
Since you know the path is parallel to the equation y+-2/3x+12, you already know the slope is -2/3.
It says y is the height above street level, so that is 3. The problem says x is time, which is 6, so all you have to solve for is the y intercept.
3 (y, or the height above street level) = (-2/3) 6 (x, or time) + b (unknown y intercept)
3 = -4 + b
7 = b
So, y = -2/3x + 7
4+7x=-10+5x please answer
X=-7
---------------------------------------------------------
a triangle with vertices at a 20 -30 b 10 -15. and c 5 -20 has beem dilated with a center of dilation at the origin the image of b point b has coordinates 2 -3 what is the scale factor of the dilation
Answer:
1/5
Step-by-step explanation:
When the dilation is centered at the origin, the dilation factor is applied to each pre-image coordinate to get the image coordinate.
k(10, -15) = (2, -3)
k = 2/10 = -3/-15 = 1/5
The scale factor of the dilation is 1/5.
-2=k+7/3. solve for k
Answer:
K=-13
Step-by-step explanation:
-2=(k+7)/3
-6=k+7
-13=k
Use the drop-down menus to complete the sentences:
The terminal ray of an angle measuring -10/9pie at lies in the
quadrant.
This angle measures
Answer:
1. second
2. -200
Step-by-step explanation:
Just did it on e2020
How do you determine what bn should be in a limit comparison test and a comparison test? When do you know that the series should use a limit comparison test or a comparison test to find if it is convergent/divergent? Examples would be greatly appreciated
Step-by-step explanation:
Pick a function that is the same "family". It needs to be a function that you know diverges or converges. So p-series and geometric series are common choices. Often we make the numerators the same so that it's easy to compare.
For example, if you have an = 1 / (n − 1), you would choose bn = 1 / n. Since n − 1 is less than n, we know an is greater than bn. And since we know bn diverges, that means the larger function an also diverges.
Or, if you have an = 1 / (n + 1), we again choose bn = 1 / n. However, comparison test is inconclusive here (an < bn, bn diverges), so we use limit comparison test instead.
lim(n→∞) an / bn
lim(n→∞) 1 / (n + 1) / (1 / n)
lim(n→∞) n / (n + 1)
1
The limit is greater than 0, and bn diverges, so an also diverges.
Let's try something more complicated. Let's say an = e⁻ⁿ / (n + cos²n). The numerator e⁻ⁿ is always less than 1, and the denominator is always greater than n.
If we again choose p-series bn = 1 / n, we know bn > an, and bn diverges, so comparison test is inconclusive. Limit comparison test is possible, but tricky.
But, if we choose geometric series bn = e⁻ⁿ / 1, we know bn > an, and bn converges, so by comparison test, an converges as well.
We can try one more: an = (n² + 2) / (n⁴ + 5). Let's choose bn = (n² + 2) / n⁴ = 1 / n² + 2 / n⁴.
The numerators are the same, but an has a larger denominator, so bn > an. bn is the sum of two p-series which converge, so bn converges. Therefore, an converges.
Question
Tom's bank account earns 6% simple interest per year. If Tom deposits $600 and then does not make any additional
deposits or withdrawals, what will the balance on the account be after 5 years?
Round your answer to the nearest dollar.
Provide your answer below:
10. You just received your first job. Your starting salary is $750
weekly. Calculate your monthly and annual salary.
Answer:
3000 weekly
39000 annually
Step-by-step explanation:
Answer:
39,000 dollars
Kevin has 3 fewer leaves than sandy. Sandy has 3 leaves. How many leaves does Kevin have?
Answer:
0 leaves
Step-by-step explanation:
Answer:
tiene 0
Step-by-step explanation:
0 hojas
Solve.
(5a^2 + 3) (4a^2 + 3)
Answer:
I think its a... carrot
Answer:
204+272+9
Step-by-step explanation:
what is the greatest common factor of 42cand 50
Answer:
2
Step-by-step explanation:
There is no way that is collage math
PLZ ANSWER FASTTTTT (70 POINTSSSS)
Your parents deposited $1,500 into a new college fund that will earn an annual compound interest rate of 3%. How much money will be in the account when you need it for college in 5 years? (write and use the compound interest formula)
THANK YOU!!
Answer:
$1738.91Step-by-step explanation:
Given
Deposit: P = $1500Interest rate: r = 3% = 0.03 compoundedTime: t = 5 yearsCompound number: n =1 per yearFinal amount A= ?Formula for compound interest is:
A = P(1 + r/n)^ntSubstituting values
A = 1500(1 + 0.03/1)^1*5 =1500(1.03^5) = $1738.91what is the opposite of 1/2
Answer:
The opposite of 1/2 is -2/1, which can also be written as -2.
Sedato Company follows the practice of pricing its inventory at the lower-of-cost-or-market, on an individual-item basis.
Item No. Quantity Cost per Unit Cost to Replace Estimated Selling Price Cost of Completion and Disposal Normal Profit
1320 1,200 $3.20 $3.00 $4.50 $0.35 $1.25 1333 900 2.70 2.30 3.50 0.50 0.50
1426 800 4.50 3.70 5.00 0.40 1.00
1437 1,000 3.60 3.10 3.20 0.25 0.90
1510 700 2.25 2.00 3.25 0.80 0.60
1522 500 3.00 2.70 3.80 0.40 0.50
1573 3,000 1.80 1.60 2.50 0.75 0.50
1626 1,000 4.70 5.20 6.00 0.50 1.00
From the information above, determine the amount of Sedato Company inventory.
Answer:
$24,110
Step-by-step explanation:
From the given information, we have:
Item No. Quantity Cost per Unit Cost to Replace Estimated Selling Price
1320 1,200 $3.20 $3.00 $4.50
1333 900 2.70 2.30 3.50
1426 800 4.50 3.70 5.00
1437 1,000 3.60 3.10 3.20
1510 700 2.25 2.00 3.25
1522 500 3.00 2.70 3.80
1573 3,000 1.80 1.60 2.50
1626 1,000 4.70 5.20 6.00
Cost of Completion and Disposal Normal Profit Final Inventory
$0.35 $1.25 $3600
0.50 0.50 $2,250
0.40 1.00 $2960
0.25 0.90 $2950
0.80 0.60 $1400
0.40 0.50 $1450
0.75 0.50 $4800
0.50 1.00 $4700
$24,110
To determine the amount of Inventory, we multiply the designated market value with the quantity, then sum all the results up but in the last part,we use the cost per unit instead becuase it is lower than the designated market value.
20 POINTS !!!!
The roots of the equation x^2+bx+c=0 are −4 and 2. Find b.
first, love the killua profile picture ! i love hunterxhunter i am currently on season 5, episode 44 or 45 aka 119 or 120 but anyways,
answer:
b = 2
step-by-step explanation:
because its roots are -4 and 2,
and a = 1 [The coefficient of [tex]x^2[/tex]] we know that [tex]x^2 + bx + c = (x - (-4)) (x-2)=(x+4)(x-2) = 0.[/tex]
using the distributive property we get,
[tex]x^2 + 2x - 8 = 0.[/tex]
by equating coefficients (common strategy for partial fractions and undetermined coefficient method of solving ODE), we get b = 2 and c = -8 ( solved c just for fun guess :) ) .
hope this helps :)
-audrey <3
Which model is 85% Shaded
Answer:
cant tell
Step-by-step explanation:
need more explanation
Find the quotient in SIMPLEST form. 2/5 ÷ 5/8 =
A: 10/40
B: 1/4
C: 16/25
D: 4/5
Answer:
c. 16/25
Step-by-step explanation:
divide
-2 = g -9g what is the answer to this
Answer:G=1/4 or the same as g=0.25
Step-by-step explanation:
Answer:
1/4 is the answer.
Step-by-step explanation:
So first, you subtract the g-9g. You get -2 = -8g, correct?
Next, you divide -2 by -8, you then get -2/-8
This simplifies to 1/4.
Hope this helped. :)
Write the equation of the line graphed below.
Answer:
In y intercept form, the equation would be: Y= -1/3x -6
Step-by-step explanation:
In order to find the equation, you can use any points given. In this case, I used (-6,-4) and (-3,-5).
With these points, you must find the slope. The change in our y values is -1 and the change in our x values is +3.
Now we have Y= -1/3x
To find the y intercept, you look on the graph for where there's a point that is lying on y line. In this case (0,-6) is lying on the y line. This means that the Y intercept for our equation is -6. Another example is (0,8), our y intercept would be 8 because the x value is 0!
In conclusion, our equation in y intercept form would be Y= -1/3x-6
Hope this helps!! :)
Multiply 5 1/2 x 1 2/5
Step-by-step explanation:
[tex]5 \frac{1}{2} \times 1 \frac{2}{5} \\ \\ \frac{11}{2} \times \frac{7}{5} \\ \\ \frac{77}{10 } = 7.7[/tex]
0.1 is 1/10 as much as
Answer:
10%
Step-by-step explanation:
Because 0.1 is equivalent to 1/10 and 10%
Please help
For the sequence 12,8,4...
write the explicit rule..
Find the 100th term...
Is this a function or relation? Why?
Answer: ion evn kno cuh
Step-by-step explanation:
Answer:
This is arithmetic sequence and the common difference is equal to -4.
Step-by-step explanation:
If yuh just want the answer here, not explained
which is the first step in simplifying the expresion 2(x+3)+5?
Answer:
[tex]2x + 11[/tex]
Step-by-step explanation:
1) Expand by distributing terms.
[tex]2x + 6 + 5[/tex]
2) Collect like terms.
[tex]2x + (6 + 5)[/tex]
3) Simplify.
[tex]2x + 11[/tex]
The first step to do this equation is to expand.which means to solve whats inside the parentheses first. If you expand you'll get a answer of 2x + 11.
Can someone help me? Please I’m not great at math. Everything is in the pictures.
Answer:
Hi There
Your answers are:
4) 12/3
-10) YES!
0/10) 0 (zero)
2 & 3/4 ) 11/4
10 & 1/2 ) 21/2
.3) 3/10
-.16) -4/ 25
3.17) 3 & 17 /100
.3 repeating ) YES
.16 repeating) 1/ 6
-1.2 repeating ) YES!
If a decimal does not terminate or repeat is is not a rational number
Step-by-step explanation:
For 4)
4/1 = 12/x
Ask yourself, how do i get from 4 to 12?
Multiply by 3! HOWEVER, whats done to the numerator MUST be done to the denominator!
4/1 * 3/3 = 12/3
For -10 )
-10/1 = -20/2
Simplify -20/2!
Divide -20 by 2 = -10
-10/1 = -10/1 YES!
For 0/10 )
When you have ZERO tenths, what does that equal? Zero!
For 2 & 3/4ths )
To change to an improper fraction, multiply the 2 by the denominator and add that to the numerator. Put that over the original denominator
(2*4 +3) / 4
8+3 / 4 = 11/4
For 10 & 1/2 )
Repeat what you did for 2& 3/4ths!
(10*2+1)/2
20+1/2
21/2
2 - 2x +5 -3x + 3x + 4
Answer:
-2x+11
Step-by-step explanation:
You need to combine like terms, so combine the x terms first.
You would have
-2x-3x+3x=-2x
Then combine the like terms of the normal numbers
2+5+4=11
Answer:
-2x+11
-hope this is what you were looking for:))
Step-by-step explanation: