9514 1404 393
Answer:
8 m
Step-by-step explanation:
Using the given information, we know that ...
64 m^2 = A = s^2
(8 m)^2 = s^2
8 m = s
The length of one side of the room is 8 meters.
A biologist observed a population of bacteria that grew at a rate expressed by the exponential equation
f(t) = 256e0.06111)
where t is in minutes. How long will it take the population to reach 5 times its initial value?
Round to two decimal places and do not include "t =" in your answer.
Answer:
It will take 26.34 minutes for the population to reach 5 times its initial value
Step-by-step explanation:
Exponential Growing
The population of bacteria grows at a rate expressed by the equation:
[tex]f(t)=256e^{0.06111t}[/tex]
Where t is in minutes.
We need to know when the population will reach 5 times its initial value. The initial value can be determined by setting t=0:
[tex]f(0)=256e^{0.06111\cdot 0}=256\cdot 1=256[/tex]
Now we find the time when the population is 5*256=1,280. The equation to solve is:
[tex]1,280=256e^{0.06111t}[/tex]
Dividing by 256:
[tex]e^{0.06111t}=1,280/256=5[/tex]
Taking natural logarithms:
[tex]ln\left(e^{0.06111t}\right)=ln5[/tex]
Applying the logarithm properties:
[tex]0.06111t=ln5[/tex]
Solving for t:
[tex]t=ln5/0.06111=26.34[/tex]
It will take 26.34 minutes for the population to reach 5 times its initial value
PLEASE HELP ME I WILL GIVE BRAINLEIST ASAP
The graph of f(x) is shown. What is the value of x when f(x) = 4?
Answer:
5
Step-by-step explanation:
The function intersects the y-axis at 1, and its slope is 1, so the function of the graph is y = x+1. Plugin 4, and you get y = 5.
Given Triangle DEF has point D(-1,-5), E(-2,-1) and F(-4,-3) and is
rotated around the origin 90 degrees clockwise onto triangle D'E'F, what
are the coordinates of D'. E', and F?
Answer:
i think its f
Step-by-step explanation:
Lupus is a medical phenomenon where antibodies that are supposed to attack foreign cells to prevent infections instead see plasma proteins as foreign bodies, leading to a high risk of blood clotting. It is believed that 2% of the population suffer from this disease. The test is 98% accurate if a person actually has the disease. The test is 74% accurate if a person does not have the disease.
If an individual tests positive for lupus, what is the probability that this is a false positive? (In other words, what is the probability of an individual not having lupus, given that they received a positive test result?)
Do not give your answer as a percentage chance, but rather as a decimal probability (i.e., 0.xxx).
Answer: the answer should be lower than because this is the percentage of people who get diagnosed with a disease that is not lupus 0.465 so about 50% or 0.5 hopefully that help I don't know the answer for the amount of people who don't have it and get misdiagnosed there is no information on it based on what I've seen
Step-by-step explanation: Its based on a study from the Lupus Foundation of America
What is the sum of -95
and its additive inverse?
Answer:
0
Step-by-step explanation:
Answer: 0 is the answer
Step-by-step explanation:
The numbers of copies of a college textbook sold quarterly over the past four years are: Since the time series has trend and seasonal pattern, to forecast the quarterly sales of the textbook, the following regression equation was found: stack y t with overparenthesis on top equals 2120 space minus 620 space Q t r 1 space minus space 1320 space Q t r 2 space plus space 290 space Q t r 3 space plus space 24 space t , where Q t r 1 , Q t r 2and Q t r 3 are dummy variables corresponding to Quarters 1, 2 and 3, and t = time period. The sales forecast for Quarter 3 of the next year is
Answer:
The predicted sales for the 4th quarter next year are 2168
Step-by-step explanation:
We formulate the given equation
Yt= 2120 - 620 Qtr 1 t -1320 Qtr 2 t + 290 Q tr3 t + 24 t
Taking the quarter 1 , 2 and 3 to be dummy variable the predicted sales for the 4th qtr are
Now put the values for the corresponding time period as 1,2 and 3
Yt= 2120 - 620 Qtr 1(0) -1320 Qtr 2(0) + 290 Q tr3 (0) + 24 (1)
Y(1)= 2120 + 24 = 2144 ( for year =1)
Y(2)= 2120+ 48= 2168 ( for year =2)
Y(3)= 2120 + 72= 2192 ( for year =3)
where t is the number of years.
So for the next year the fourth quarter sales are predicted to be 2168.
The sales forecast for Quarter 3 of the next year is 2192.
What is a sales forecast?It should be noted that a sales forecast simply means an expression for the expected sales revenue.
In this case, the sales forecast for Quarter 3 of the next year will be calculated thus:
= 2120 + 24(3)
= 2120 + 72
= 2192
Therefore, sales forecast for Quarter 3 of the next year is 2192.
Learn more about sales forecast on:
https://brainly.com/question/1101125
Please help ASAP! I’ll mark you brainly
2. Light is captured using__________
the absorbed light is passed along
throughout molecules
and pigments until it is transferred to a single__________.
Step-by-step explanation:
Chloroplasts (left) convert light energy into chemical energy. High-energy electrons in chloroplasts are transported through two photosystems (right). ... The energy of light captured by pigment molecules, called chlorophylls, in chloroplasts is used to generate high-energy electrons with great reducing potential.
I hope this helps
What is the absolute value of l -32 l?
DISTANCES OF PLANETS TO SUN & EARTH Saturn Closest to sun: 135 billion km Mercury Closest to sun: 40 million km Closest to Earth: 773 million km Venus Closest to sun 107 million to Closest to Earth: 40 million km Earth Closest to sun: 147 million km Clowest to Earth:12 billion km Uranus Closest to sun 275 billion km Closest to Earth: 257 billion, kun Neptune Closest to sum: 4.45 billion km Closest to Earth: 43 billion km Pluto Mere Closest to sun 205 milion km Closest to Earth:05 million km Jupiter Closest to sun 41 million km Closest to sun 444 billion kan to Earth: 4.28 billion kin Closest to Earth 588 million km
Answer:
whats the question
Step-by-step explanation:
What is the value of n?
| n | = 5
Answer:
5
Step-by-step explanation:
Answer:
Step-by-step explanation:
When you think you know what n is, check your answer. Add n to 7 and divide by 4. Do you get 5?
factor each completely
x²+x-30
A) (x+6)(x + 5)
B) (x – 6)(x – 5)
C) (x + 6)(x – 5)
D) (x + 1)(x + 5)
please
Your friend says the absolute value equation |3x+8|-9=-5 has no solution because the constant on the right side of the equation is negative. Is your friend correct?
Make sure to show the work and solution the problem, as well as the explanation.
Answer:
No, ur friend is not correct
| 3x + 8 | - 9 = -5 You have to get the absolute value (and everything in it) on one side of the equal sign, and everything else on the other side. So we have to get that -9 across the equal sign by adding 9 to both sides.
| 3x + 8 } = -5 + 9
| 3x + 8 | = 4 So that number is not negative anymore.
now u can set up ur 2 equations and solve for x, your 2 equations would be:
3x + 8 = 4 and 3x + 8 = -4
** If that -9 would not have been there, then ur friend would have been correct.
Hope this helps!!
Step-by-step explanation:
Whitney wants to buy a sweater for $36. If the sales tax rate is 8.25%, what will be
the amount of sales tax on Whitney’s purchase?
A $2.89
B $2.97
C $3.06
D $3.13
Answer:
B
Step-by-step explanation:
63-(-4) subtracting integers
Answer:
67
Step-by-step explanation:
the negative 4 cancels out with subracting turning it into an addition problem
Hello.
We are subtracting a negative number.
When we subtract a negative number, it cancels itself out, and it becomes an addition problem.
63-(-4) becomes 63+4
63+4 = 67
67 is the final answer.
Find
f '(a).
f(x) = 3 − 4x
Answer:
f'(a) = -4
Step-by-step explanation:
f(x) = 3 − 4x
Take the derivative of the function
f'(x) = -4
f'(a) = -4
I will give you branilest!
To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of information. An equation relating packets of information is given by b = 1500p where p represents the number of packets and b represents the number of bytes of information.
a. How many packets would be needed to transmit 30,000 bytes of information?
Answer:20 packets
Step-by-step explanation: 30,000/ 1500=20
Answer:
20 packets (answer)
Step-by-step explanation:
= 30,000/1500 = 20
=20 packets
( Glad to help:)
if it takes seyi twenty minutes to boil an egg, how long will it take ala who is three years older than seyi to boil four eggs?
same twenty minutes
Answer:
time is constant
Solve for the given variable:
14=63n
Answer:
n = 2/9
Step-by-step explanation:
switch sides: 63n=14
divide both sides by 63: 63n/63 = 14/63
simplify: n = 2 / 9
What is
100 + 100
Please I can't solve it.
Answer:
200
Step-by-step explanation:
Answer:
100+100 is 200 because if you add 100 to another 100 you will get 200 :)
I need help with all of these.
Answer:
1: m=2
2: g=7
3: y=13
4: a=-27
5: x=15
6: w=-18
Answer:
1. m = -2
2. g = 7
3. y = 13
4. a = -36
5. x = 15
6. w = -18
Step-by-step explanation:
1. Make the constant to the right-hand side and change its sign
a = 10 - 12
Calculate the difference a = -2
Solution
a = -2
2. Move variable to the left-hand side and change its sign
-g - 2 = - 9
Move constant to the right-hand side and change its sign
-g = -9 + 2
Calculate the sum
-g = -7
Change the signs on both sides of the equation
g = 7
Solution
g = 7
3. Divide both sides of the equation by - 7
-7y ÷ (-7) = -91 ÷(-7)
Any expression divided by itself equals 1
y = 91 ÷ (-7)
Divide two negatives equals a positive: (-) ÷(-)=(+)
y = 91 ÷ 7
Calculate the quotient
y = 13
Solution
y = 13
4. Multiply both sides of the equation by 9
9 x a/9 = 9 x (-4)
Reduce the number with the greatest common factor 9
a = 9 x (-4)
Multiply a positive and a negative equals a negative: (+)x(-)=(-)
a = -9 x 4
Multiply the numbers
a = -36
Solution
a = -36
5. Multiply both sides of the equation by 3/2
3/2 × 2/3x = 3/2 × 10
Reduce the numbers with the greatest common factor 3
1/2 × 2x = 3/2 × 10
Reduce the numbers with the greatest common factor 2
x = 3/2 × 10
Reduce the numbers with the greatest common factor 2
x = 3 x 5
Multiply the numbers
x = 15
Solution
x = 15
6. Multiply both sides of the equation by 9/4
9/4 x 4/9w = 9/4 x (-8)
Reduce the numbers with the greatest common factor 9
1/4 x 4w = 9/4 x (-8)
Reduce the numbers with the greatest common factor 4
w = 9/4 x (-8)
multiplying a positive and a negative equals and negative: (+)x(-)=(-)
w = -9/4 x 8
Reduce the numbers with the greatest common factor 4
w = -9 x 2
Multiply the numbers
w = -18
Solution
w = -18
Write in slope intercept form:
(-5,-11) and (-2,1)
Answer:
y = 4x + 9
Step-by-step explanation:
First, find the slope of the line, which is the change in y/the change in x:
(-11-1)/(-5-(-2)) = -12/-3 = 4
That leaves you with the equation:
y = 4x
But notice, when x = -2 in the equation, y = -8, but we want it to be 1, so we add 9 to the end of the equation:
y = 4x + 9
I hope this helped.
Answer:
Step-by-step explanation: -15/9 my teacher told me
2m + 8m converted to Verbal Phrase
Answer:
is it two m plus eight m?
Every rope has a safe working load. A rope should not be used to lift a weight greater than its safe working load. The table shows the safe working loads S (in pounds) for ropes with circumference C (in inches). Write an equation for the safe working load for a rope. Find the safe working load for a rope that has a circumference of 10 inches.
9514 1404 393
Answer:
S = 180C²18,000 lbsStep-by-step explanation:
Assuming the table attached with C in inches and S in pounds, we see that the first differences in S are ...
180, 540, 900
These are not constant, so the relation is not linear.
Second differences are ...
360, 360
These are constant, so the relation is quadratic. With a short trial, we find that a suitable equation is ...
S = 180·C²
__
The safe load for C=10 is then ...
S = 180·10² = 18,000 . . . pounds
How do you know if the two triangles are congruent. State how
Answer:
Cases of congruence of triangles: The two triangles coincide if the length of each side in the first triangle is equal to its counterpart in the second triangle (three sides)...... The two triangles coincide if the lengths of two symmetrical sides are equal, and the two corresponding angles intertwined between these two sides are equal in each triangle. .. Two sides and a bounded angle between them.....
Habib and Ali are friends and basketball coaches too. Habib goes to school every 4 days and Ali goes every 6 day to coach the students . if they both had a coaching session today. how many day in the next 48 days, would they both take the session on the same day? brainliest to the guy who send with the explanation
Answer:
I didn't got the ans but u can ask it to google assistant she is smarter than me
what is the radius of a sphere with the volume of 12348pi
Answer:lemme see
Step-by-step explanation:
Simplify the expression.
(2x + 1/2) + (7x - 6 1/2)
Answer:
9x
Step-by-step explanation:
dolphin jet ski shop charges a flat fee of $37.00 plus $1.25 per hour to rent a jet ski. Marlin Jet Ski charges a fee of $30.00 plus $3.00 per hour to rent the same jet ski. Find the number of hours for which the costs are the same
Answer:
4 Hours, is when they will be the same.
Step-by-step explanation:
1.25 x 4 = 5.00 + 37.00 = 42.00
3.00 x 4 = 12.00 + 30.00 = 42.00
Therfore, at 4 hours they will be the same.
(yay)
Len wants to write the number 100,000 using a base of 10 and a exponent. What number should he use as the exponent.
Answer:
5
Step-by-step explanation:
5 would be your exponent because you count the number of zeros in the number and that is how many times you time 10 by 10
What ratio is equivalent to 12;6
Answer:
2:1, 4:2, 6:3, 8:4, 10:5, etc.
Step-by-step explanation:
Answer:
12 : 6 24 : 12 36 : 18 48 : 24 60 : 30
2:1 (just to name a few, Let me know if one the answer)
Step-by-step explanation:
multiply both by a number, kinda like a fraction.
