Answer: 3450
Step-by-step explanation: so after 6 hours, 300 new bacteria joined the colony, right? So to know how many bacteria will join after 9 hours, we will need to first know how many bacteria will join after 1 hour. So 6 hours divided by 6 hours is 1 hour. Now 300/6 is 50. So after every 1 hour, 50 bacteria will grow. We want 9 hours, so we multiply 50 by 9 to get an answer of 450 new bacteria. But we can’t forget the bacteria the culture started with, so we add 3000 with 450 is our final answer 3450.
Round 9.19 to the nearest 25 cents
The rounded form of the number 9.19 which represents $9 and 19 cents to the nearest 25 cents is; 9.25
What is the rounded form of 9.19 to the nearest 25 cents?It follows from the task content that the number is required to be rounded off to the nearest 25 cents.
On this note, it follows that only 25 cent intervals are considered.
Hence, the number in discuss can either be rounded up to 9.25 or 9.00.
However, since the fractional 19 cents is closer to 25 more than it is to 0 on the number line, the rounded form of the number is;
= 9.25.
Read more on rounding off;
https://brainly.com/question/10679598
#SPJ1
In a random sample of twelve people, the mean driving distance to work was 20.2 miles and the standard deviation was 7.1 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean μ. Interpret the results. Identify the margin of error.
Interpreting the results: We are 90% confident that the true population mean driving distance to work falls within the range of 20.2 miles plus or minus 4.091 miles.
To construct a confidence interval for the population mean μ, we can use the formula:
Confidence interval = sample mean ± margin of error
where the margin of error is given by:
Margin of error = t * (standard deviation / √n)
In this case, the sample mean is 20.2 miles, the standard deviation is 7.1 miles, and the sample size is 12. We need to find the appropriate value of t for a 90% confidence level with (n-1) degrees of freedom.
The degrees of freedom for a sample size of 12 is (n-1) = 12-1 = 11.
Using a t-table or calculator, the t-value for a 90% confidence level and 11 degrees of freedom is approximately 1.796.
Substituting the values into the formula, we have:
Margin of error = 1.796 * (7.1 / √12)
Calculating this value, we find the margin of error to be approximately 4.091 miles.
Therefore, the 90% confidence interval for the population mean μ is:
20.2 ± 4.091
Interpreting the results: We are 90% confident that the true population mean driving distance to work falls within the range of 20.2 miles plus or minus 4.091 miles.
To know more about Population related question visit:
https://brainly.com/question/15889243
#SPJ11
what is the y-intercept of this radical function f(x)=^3√x+1-3
A. y=-2
B. y=1
C. y=8
D. y=26
Answer: A y=-2
Step-by-step explanation:
Your y-intercept occurs when x=0 (0,y)
plug in x=0 into equation and solve for y
y = \(\sqrt[3]{x+1} -3\)
y = \(\sqrt[3]{0+1} -3\)
y = \(\sqrt[3]{1} -3\)
y = 1 - 3
y = -2 A
Match each structure to its function.
phloem
carries water
pollen
carries food
xylem
contains a plant embryo
seed
develops into sperm cells
Answer:
Xylem- carries water, Pollen- develops into sperm cells, Seed- contains a plant embryo, Phloem- carries food.
Step-by-step explanation:
Took quiz and got it correct.
It takes a word processor 24 minutes to word process and spell check 10 pages find how long it takes her to word process and spell check 55 pages It takes the word processor ? Minutes
Given,
It takes a word processor 24 minutes to word process and spell check 10 pages.
Consider,
Time taken by the word processor to word process and spell check 55 pages is x.
According to the question,
\(\begin{gathered} \frac{10}{24}=\frac{55}{x} \\ 10x=24\times55 \\ 10x=1320 \\ x=\frac{1320}{10} \\ x=132\text{ minutes} \end{gathered}\)Time taken by the word processor to word process and spell check 55 pages is 132 minutes.
Question for JAFAR2007
Answer:
Solution given:
x²+x-20=0
x²+5x-4x-20=0
x(x+5)-4(x+5)=0
(x+5)(x-4)=0
either.
x=-5
or
x=4
Step-by-step explanation:
x² + x -20 =0
or, x²+(5-4)x -20
or,x ²+5x -4x -20=0
or,x(x +5)-4(x+5)=0
or,(x+5)(x-4)=o
either,
x+5=0. x-4=0
or,x=0-5. or,x= 0+4
or,x=-5. or, x=4
hope it is helpful to you ☺️
How many solutions does r > 5 have?
Answer: It can have infinite
Step-by-step explanation:
because numbers never finish
Given b(x) = x+4). what is b(-10)?
Answer:
-6
Step-by-step explanation:
\(b(x)=x+4\\\\b(-10)=(-10)+4\\\\b(-10)=-10+4\\\\b(-10)=-6\)
Taylor started with $8 and added $10 every week. give equation
To find the equation for Taylor's situation, we can start by defining some variables. Let's let "w" represent the number of weeks that have passed since Taylor started.
We can also let "a" represent Taylor's starting amount of money, which is $8. Now, we know that Taylor adds $10 every week. So after one week, Taylor will have a total of $18 ($8 + $10). After two weeks, Taylor will have a total of $28 ($8 + $10 + $10). And so on. We can see that Taylor's total amount of money after "w" weeks can be represented by the equation: Total amount = a + 10w. Plugging in the values we defined earlier, we get: Total amount = 8 + 10w
This is the equation for Taylor's situation.
It tells us that the total amount of money Taylor has after "w" weeks is equal to $8 plus $10 times the number of weeks that have passed. It's worth noting that we could also write this equation in slope-intercept form as: y = 10x + 8. Where "y" represents the total amount of money Taylor has and "x" represents the number of weeks that have passed. This equation shows us that the slope of the line (which represents how much Taylor's total amount of money increases each week) is 10, and the y-intercept (which represents Taylor's starting amount of money) is 8.
Learn more about variables from here:
https://brainly.com/question/31118619
#SPJ11
Help with this please!
Answer: 115°
Step-by-step explanation:
180° - 65° (angles on a straight line)
= 115° (alternate angle to z)
z = 115°
The table shows the number of goals made by two hockey players.
Player A Player B
2, 3, 1, 3, 2, 2, 1, 3, 6 1, 4, 5, 1, 2, 4, 5, 5, 11
Find the best measure of variability for the data and determine which player was more consistent.
Player B is the most consistent, with an IQR of 3.5.
Player B is the most consistent, with a range of 10.
Player A is the most consistent, with an IQR of 1.5.
Player A is the most consistent, with a range of 5.
The best measure of variability is the standard deviation.
Player A is the most consistent, with an IQR of 1.5.
How to find the measure of variability?Standard deviation is defined as the square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.
The table shows the number of goals made by two hockey players.
Player A:
2, 3, 1, 3, 2, 2, 1, 3, 6
Using a statistics calculator, we have:
Mean = 2.56
S.D. = 1.51
Player B:
1, 4, 5, 1, 2, 4, 5, 5, 11
S.D. = 3.03
The best measure of variability is the standard deviation.
Player A is the most consistent, with an IQR of 1.5.
Read more about Measure of variability at: https://brainly.com/question/14544205
#SPJ1
due to the fact that there has to be some percentage of the barge above the water, they can only be loaded 3/4 of their depth. What volume of cargo can the barge actually carry?
ANSWER PLEASE I SPENT 30 POINTS
Answer: help me ill help u
Step-by-step explanation:
Question
Find the area and the circumference of the circle. Round your answers to the nearest hundredth.
area:
square units
circumference:
units
can someone help me with this
Answer:
A, B, C
Step-by-step explanation:
just put it into the formula a^2+b^2=c^2
a) 12^2+16^2
= 144+256
= 400 = 20^2
b) 4.5^2+6^2
= 20.25+36
= 56.25 = 7.5^2
c) 5^2+12^2
= 25+144
= 169 = 13^2
The next two dont match
Proving the Parallelogram Diagram Theorem
Given: ABCD is a Parallelogram. Diagonals AC,BD intersect at E.
Prove AE = CE and BE =DE
THE AWNSWERS ARE IN THE PICTURE FROM 4 DOWN SOME POSTED A PICTURE WITH THE 4 UP HERE TO HELP :)
Answer:
Did you learn about equal rectangles? we can prove AEB and CED are equal, which results in what we need to prove here
AE = CE and BE = DE. This can be proved with the help of the properties of congruent triangles.
What is a parallelogram?'A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.'
According to the given problem,
ABCD is a parallelogram.
We know,
BC ║ AD and BC ≅ AD
From, the properties of a parallelogram,
∠CBD = ∠ADB
∠BCA = ∠DAC
We know, two lines are parallel and alternate interior angles of the parallelogram are equal.
Also, Δ BEC ≅ ΔAED (Angle-Side-Angle)
Therefore, AE ≅ CE ( The properties of congruent triangles )
BE ≅ DE ( The properties of congruent triangles )
Hence, we can conclude, in the parallelogram ABCD, AE = CE and BE = DE from the properties of congruent triangles.
Learn more about parallelogram here: https://brainly.com/question/11220936
#SPJ2
A company has found that the rate at which a person new to the assembly line increases in productivity is given by = 7.7 -0.3y where x is the number of days the person has worked on the line and y is the number of items per day the person can produce. How many items can a new worker be expected to produce on the ninth day if he produces none when x=0? dx DE Write the equation for y(x) that solves the initial value problem. The worker can produce about items on the ninth day. (Round to the nearest whole number as needed.)
The number of items a new worker can be expected to produce on the ninth day (x = 9), we can substitute x = 9 into the equation:
y(9) = 7.7/0.3 - (7.7/0.3) * e^(-0.3*9).
To solve the initial value problem, we need to find the equation for y(x) that satisfies the given differential equation and initial condition.
The given differential equation is:
dx/dy = 7.7 - 0.3y
To solve this first-order linear differential equation, we can rearrange it in the standard form:
dy/dx + 0.3y = 7.7
This is a linear first-order differential equation in the form dy/dx + P(x)y = Q(x), where P(x) = 0.3 and Q(x) = 7.7.
To solve this type of differential equation, we can use an integrating factor. The integrating factor is defined as the exponential of the integral of the coefficient of y, which in this case is 0.3.
First, let's find the integrating factor. The integral of 0.3 dx is 0.3x. Therefore, the integrating factor is e^(0.3x).
Next, multiply both sides of the differential equation by the integrating factor:
e^(0.3x) * dy/dx + 0.3e^(0.3x) * y = 7.7 * e^(0.3x).
Now, we can rewrite the left side of the equation using the product rule for differentiation:
d/dx (e^(0.3x) * y) = 7.7 * e^(0.3x).
Integrating both sides with respect to x, we have:
∫ d/dx (e^(0.3x) * y) dx = ∫ 7.7 * e^(0.3x) dx.
Integrating the right side gives us:
e^(0.3x) * y = 7.7/0.3 * e^(0.3x) + C,
where C is the constant of integration.
Now, divide both sides of the equation by e^(0.3x) to solve for y:
y = 7.7/0.3 + C * e^(-0.3x).
To determine the value of the constant C, we can use the initial condition y(0) = 0. Substituting x = 0 and y = 0 into the equation, we get:
0 = 7.7/0.3 + C * e^(0).
Since e^0 = 1, we have:
0 = 7.7/0.3 + C.
Solving for C, we find:
C = -7.7/0.3.
Now we can substitute this value of C back into the equation for y:
y = 7.7/0.3 - (7.7/0.3) * e^(-0.3x).
To find the number of items a new worker can be expected to produce on the ninth day (x = 9), we can substitute x = 9 into the equation:
y(9) = 7.7/0.3 - (7.7/0.3) * e^(-0.3*9).
Calculating this value, we find that the worker can be expected to produce about 23 items on the ninth day.
Learn more about substitute here
https://brainly.com/question/22340165
#SPJ11
Solve for y in terms of v, w, x, and z.
wy=–zvx
Answer:
y = (-zvx)/w
........
Evaluate the following expression. Round your answer to two decimal places.
logz 11
2.18?
2.40?
0.46?
0.84?
The correct answer would be- A: 2.18
Please help me it’s math
Answer:
Step-by-step explanation:
-2-6-20
Please help and thanks!~
~~~~~~~~~~~~~~~~~~~~~~~
20 points!~
A bedroom is 10 ft. by 12. ft. with 8 ft. high walls. How much would it cost to put padding and carpet in this room
Answer $2,295.60:
Step-by-step explanation: i just did this assignment and got it right, hope this helps
A 7m wide path is to be constructed all around and outside a circular park of diameter
56m.find the area of the path
Answer:
392m^2
Step-by-step explanation:
as the length = diameter of the circular park
then
Area = length * width = 56 * 7 = 392m^2
Answer:
your answer is in this attachment
Step-by-step explanation:
hope it's helpful to you
have a great day ahead buddy
The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 33 liters, and standard deviation of 5.6 liters. A) What is the probability that daily production is less than 35.2 liters
The probability that the daily production is less than 35.2 liters is 0.6664.
The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 33 liters and standard deviation of 5.6 liters.
To find the probability that the daily production is less than 35.2 liters, we need to find the z-score first. Then we can use the z-table to find the probability.
z-score:
z = (x - μ) / σ
Where,x = 35.2 μ = 33 σ = 5.6z = (35.2 - 33) / 5.6 = 0.43
Now, we need to find the area under the standard normal distribution curve to the left of the z-score of 0.43
.Using the z-table or standard normal distribution table, we can find this probability as:
P(Z < 0.43) = 0.6664
Learn more about probability at:
https://brainly.com/question/32886177
#SPJ11
Select the correct answer. the data set shows the ages of the members of a book club. what is the shape of the distribution of this data set? 19, 21, 18, 19, 16, 21, 20, 17, 16, 17, 20, 18
Grace borrowed $12,500 to buy a car. If interest is charged on a loan at 12.5%, how much interest would he have to pay in 120 days. a $568.32 b $498.36 c 5513,70 d 5209,59 1. Picture this: a herd of elephants flies past you at sixty miles per hour, followed by a streak of tigers, a pride of lions, and a bunch of clowns. What do you see? It must be a circus train! One of the first uses of the circus train is credited to W.C. Coup. He partnered with P.T. Barnum in 1871 to expand the reach of their newly combined shows using locomotives. Before circus trains, these operators had to lug around all of their animals, performers, and equipment with a team of more than 600 horses. Since there were no highways, these voyages were rough and took a long time. Circuses would stop at many small towns between the large venues. Performing at many of these small towns was not very profitable. Because of these limitations, circuses could not grow as large as the imaginations of the operators. After they began using circus trains, Barnum and Coup only brought their show to large cities. These performances were much more profitable and the profits went toward creating an even bigger and better circus. Muitiple rings were added and the show went on. Today, Ringling Bros. and Barnum and Bailey Circus still rely on the circus train to transport their astounding show, but now they use two.
The interest Grace has to pay on the loan after 120 days is $514.50.
The correct option is letter C.
Grace borrowed $12,500 for 120 days, with the interest charged on the loan at 12.5%.
We can determine the interest to be paid by using the following formula:
Interest = Principal × Rate × Time
Interest = $12,500 × 0.125 × (120 / 365)
Interest = $12,500 × 0.125 × 0.3288
Interest = $514.50
Therefore, the interest Grace has to pay on the loan after 120 days is $514.50.
The correct option is letter C.
Learn more about interest
https://brainly.com/question/30393144
#SPJ11
Elvis chooses three different numbers.
• The sum of the three numbers is 24.
• One of the numbers is a square number.
• The other two numbers are factors of 20.
Find the three numbers chosen by Elvis.
Write the numbers in ascending order. 1
Answer:
5,9,10.
Step-by-step explanation:
The factors of 20 that I know of are 2,5,10
The possible square no. is below 10 that is, either 4 or 9
Using the above no's you can substitute to see which three give 24 as the sum, thus 5,9,10
Answer: 16+4+4
Step-by-step explanation: The answer is 16, 4, and 4.
Square values in 24 are 4,9, and 16.
You can take a look at this and see that a factor of 24 is 4.
You can do 16+4+4.
Hope this helps!
-You Brainly Helper!
Which of the following is the constant of proportionality written as a unit rate
Answer: 12 wins per loss- C
Step-by-step explanation:
Got it on edge 2021
For which inequality is x=5 a solution?
ОА A. x < 2
O B. x >9
O O C. x < 18
O D. x > 42
Answer:
C
Step-by-step explanation:
Just replaced the x with 5 and check if it is a true statement
In the picture down below
Answer:
b
Step-by-step explanation:
trust me
Answer:
A
Step-by-step explanation:
I Carlton mixed blue Paint with yellow
paint in the ratio 6:5 to make
green Paint if he used 48 Times
liters of blue Paint how much green
Paint did he make?
As per the given ratio, the amount of green paid did he make is 40 liters
Here we have been given that in the process of making green paint, here the painter mixes yellow and blue paint in the ratio 6 : 5.
Let us assumed that,
=> Volume of blue paint used = 6x
=> Volume of yellow paint used = 5x
Now, here we also know that the painter used 48 liters of blue paint.
Then the Volume of blue paint used is written as 48 liters
Now, we have to equate the two expressions for volume of yellow paint used, then we get,
⇒ 6x = 48
When we simplify this one then we get
=> x = 8
Here we have to find the volume of yellow paint that can be used by the painter.
Now, we have to substitute the vale then we get,
=> 5(8) = 40
To know more about ratio here
https://brainly.com/question/13419413
#SPJ4
What is x if 3x+6= 39
Answer:
X = 11
Step-by-step explanation: