ans. 1400000
we know that
work done by gravity = mgh
just putting values we get
= 1400x 100 x 10
= 1400000
hence,work done an elevator motor need to do to lift a 1400kg elevator a height of 100m is 1400000
A culture started with 3,000 bacteria. After 4 hours, it grew to 3,600 bacteria. Predict how many bacteria will be present after 10 hours.
Round your answer to the nearest whole number.
P = Aekt
Answer:
Step-by-step explanation:
To predict the number of bacteria after 10 hours using the formula P = Aekt, where P is the final population, A is the initial population, k is the growth rate, and t is the time elapsed, we need to first find the value of k.
dw
We know that after 4 hours, the population grew from 3,000 bacteria to 3,600 bacteria. So we can set up an equation:
3,600 = 3,000e^(4k)
Dividing both sides by 3,000 gives:
1.2 = e^(4k)
Taking the natural logarithm of both sides gives:
ln(1.2) = 4k
Solving for k, we get:
k = ln(1.2)/4
k ≈ 0.051
Now that we have the value of k, we can use the formula to predict the number of bacteria after 10 hours:
P = 3,000e^(0.051*10)
P ≈ 5,426
Therefore, we predict that after 10 hours, there will be approximately 5,426 bacteria present in the culture.
cos(0) = 2 ar
sin(8) = ?
- 2
**
2
√√2
2
√√2
DONE
,and
3
<
< 0 < 21, evaluate sin(0) and tan(0)
tan(8)=L
DONE
Using trigonometric identities when cosθ = √2/2 and 3π/2 < θ < 2π
sinθ = -√2/2 tanθ = - 1What are trigonometric identities?Trigonometric identities are mathematical equations that contain tigonometric ratios
Since cosθ = √2/2 and 3π/2 < θ < 2π, we desire to find sinθ and tanθ. We proceed as follows
a. To find sinθ, using the trigonometric identity
sin²θ = 1 - cos²θ
⇒ sinθ = ±√(1 - cos²θ)
So, substituting the value of cosθ into the equation, we have that
sinθ = ±√(1 - cos²θ)
sinθ = ±√(1 - (√2/2)²)
= ±√(1 - 2/4)
= ±√[(4 - 2)/4]
= ±√[2/4]
= ±√2/2
Since 3π/2 < θ < 2π, which is the fourth quadrant, we take the negative answer.
So, sinθ = -√2/2
b. To find tannθ, using the trigonometric identity
tan²θ = sec²θ - 1
⇒ tanθ = ±√(sec²θ - 1)
= ±√(1/cos²θ - 1)
So, substituting the value of cosθ into the equation, we have that
tanθ = ±√(1/cos²θ - 1)
tannθ = ±√(1/(√2/2)² - 1)
= ±√(1/2/4 - 1)
= ±√(4/2 - 1)
= ±√[2 - 1]
= ±√1
Since 3π/2 < θ < 2π, which is the fourth quadrant, we take the negative answer.
So, tanθ = -1
Learn more about trigonometric identities here:
https://brainly.com/question/29722989
#SPJ1
3+3=???
A: 3113
B: 33
C. 6 ( I did the math and never got this answer)
D. 9
please help !!!!!
Answer:
D
Step-by-step explanation:
gimme the points
cuz
scientific
Find each angle measure.
Answer:
The answer for <M is 28°
Step-by-step Explanation:
<P=180-48
<P=132°
base angles in an isosceles are equal
<M+<N+<P=180
3y+1+2y+2+132=180
3y+2y+3+132=180
5y+135=180
5y=180-135
5y=45
divide both sides by 5
5y/5=45/5
y=9
<M=3(9)+1=27+1=28°
12 A quality control inspector at a plant has found the probability of randomly selecting a defective
battery from a batch of batteries being produced is 0.02. The probability of rain that day has been
projected to be 0.75. If these two events are independent, what is the probability that on that particular
day, it rains, and the inspector chooses a defective battery from the batch being produced?
(1) 0.77
(3) 0.015
(2) 0.5
(4) 0.95
Answer:
The answer is (3) 0.015.
Step-by-step explanation:
This is because to find the probability of finding both independent events happening at the same time, we must multiply them.
The independent events are:
- Randomly selecting a defective battery: 0.02
- Raining tomorrow: 0.75
0.02 x 0.75 = 0.015
Therefore, the answer is (3) 0.015.
I need help pleaseee
The matrix row operation on the matrix A gives us: 0x + 10y - 25z = 4
How to solve matrix row operations?There are 3 primary basic operations that are utilized on the rows of a matrix when we utilize the matrix to solve a particular system of linear equations . The aim is usually to get the left region of the matrix to resemble the identity matrix .
The three primary operations are:
Switching Rows
Multiplying a Row by a Number
Adding Rows
Now, from the given matrix, the equations are:
x - y + 5z = -1
x - y - 4z = 5
5x + y + 0z = -1
We are told to add -5 times row 1 to row 3 and this gives:
-5x + 5x + 5y + 5y - 25z + 0z = 5 - 1
0x + 10y - 25z = 4
Read more about Matrix Row Operations at: https://brainly.com/question/30514221
#SPJ1
HELP ME PLEASE!!!!!
Answer:
1. True
2.True
3.True
4.False
5.False
6.True
7.True
8.True
Step-by-step explanation:
1. The area of a rectangle is found by the formula A=bh.
2. There are 4 rectangles making up the lateral area of the prism. 2+3=5. 5*6=30, and multiply by 2 since there are two of the 2x6 and two of the 3x6 rectangles to get 60. The bases of the prism have an area of 6 square inches each.
60+12+12=84
3. 3*5=15
4. The base is not a square, so you cannot multiply by 4 to get the area of all the triangles. You can multiply by two, and also multiply 1/2(3)(4) by 2 to get the area of the other two triangles.
5. The base is a triangle. 1/2(3)(4)=6.
6. 2[1/2(3)(4)]=12. 2(8*5)=80. 3*8=24. 80+24+12=116
7. A cube has 6 identical sides, so you can find the area of one side and multiply by 6 to get the surface area of the cube.
8. 9^2=81. 81*6=486.
Carson is organizing textbooks on his bookshelf. He has a Spanish textbook, a math textbook, a history textbook, and a health textbook. How many different ways can he line the textbooks up on his bookshelf?
Carson can line up his textbooks on his bookshelf in 24 different ways
What is Permutation?
Permutations are a way to count the number of ways that a set of objects can be arranged in a particular order. A permutation is an ordered arrangement of objects.
What is Combination?
The combination is a way to count the number of ways that a set of objects can be selected without regard to order. A combination is an unordered selection of objects.
According to the given information:
Carson has four textbooks that he wants to line up on his bookshelf. The number of different ways that he can do this is given by the permutation formula:
n! / (n - r)!
where n is the total number of objects (in this case, 4 textbooks), and r is the number of objects that he wants to arrange in a particular order (in this case, all 4 textbooks).
On substituting the values in the formula,
4! / (4 - 4)! = 4! / 0! = 4 x 3 x 2 x 1 / 1 = 24
Therefore, Carson can line up his textbooks on his bookshelf in 24 different ways.
To know more about Permutations visit :brainly.com/question/1216161
#SPJ1
Enter your answer in the box.
Answer:
- 63
Step-by-step explanation:
When x = 0, x - 1 = -1
f(x - 1) = f(-1) = 21 from the table
-3f(x-1) = -3 (21)
= -63
If the ratio of a circle's circumference to the circle's area is 2/9, then find the circles area.
The area of the circle is 81π. Option A.
What is area of a circle?The area of a given circle is the amount of space that the circle will cover when considered in a 2 dimensional plane. It can be determined by;
area of a circle = πr^2
where r is the radius.
The circumference of a circle is the curved boundary of a circle. It can be determined by;
circumference of a circle = 2πr
where r is its radius.
From the given information in the question, we have a circle's circumference to the circle's area;
circumference/ area = 2/ 9
But,
circumference/ area = 2πr/ πr^2
= 2/ r
Then;
2/ r = 2/ 9
2r = 2*9
= 19
r = 18/ 2
r = 9
Thus,
area of the circle = πr^2
= π(9)^2
= 81π
Learn more about the area of a circle at https://brainly.com/question/14068861
#SPJ1
Draw and describe the plane section that results from the following cut: a cylinder cut parallel to the base.
When a cylinder is cut parallel to its base, the plane section that results is a circle. This circle will have the same radius as the cylinder's base. The center of the circle will be located at the center of the cylinder's base. This type of cut will create a circular cross-section that is parallel to the base of the cylinder.
What is the length of the side labeled x cm?
10.8
13.7
9.9
20.8
Answer:
B
Step-by-step explanation:
the answer is B because I know it
A rectangular classroom is 10m long and 4.6m wide. Make a scale drawing of the classroom using the following scales.
The scale drawing of the classroom have the dimensions of 10 centimeters by 4.6 centimeters
Making a scale drawing of the classroom using the scalesFrom the question, we have the following parameters that can be used in our computation:
Dimension of classroom = 10 meters by 4.6 meters
The scale of the drawing is given as
1 cm : 1 m
Using the above as a guide, we have the following:
Scale factor = 1 cm/1 m
So, we have
Scale factor = 1 cm per m
So, we have
Scale dimension of classroom = (10 meters by 4.6 meters) * 1 cm per m
Evaluate
Scale dimension of classroom = 10 centimeters by 4.6 centimeters
Hence, the scale drawing of the classroom have the dimensions of 10 centimeters by 4.6 centimeters
Read more about scale drawing at
https://brainly.com/question/25324744
#SPJ1
Complete question
A rectangular classroom is 10 m long and 4.6 m wide. Make a scale drawing of the classroom using the following scales. 1 cm : 1 m
Of the 22 students in a classroom, 10 are transfer students, 7 are nursing students, 4 are AAS students and 1 student is undecided. If 5 students are chosen randomly, with replacement, find the probability that at least one student is a transfer student.
Just by looking at the equation x+6+2x=2x+6+4x+6+2x=2x+6+4 , find the value of x .
Step-by-step explanation:
How do you have two equal to signs omg?
Anyway,
x+6+2x=2x+6+4x+6+2x=2x+6+4
3x+6=8x+12=2x+10
0=5x+6=2x+10
0=3x-4=0
3x-4=0
3x=4
x = 4/3 = 1 ⅓
Select each angle of rotation about the origin, (0, 0) that maps WXYZ TO W’ X’ Y’Z
The angle of rotation about the origin, (0, 0) that maps WXYZ TO W’ X’ Y’Z are
180 degrees
540 degrees
900 degrees
How to find the angle of rotationThe transformation rule for an angle of 180 degrees is simply a reflection or a flip. This means that any object or figure that undergoes this transformation will be flipped over a line or axis.
The rule is (x, y) will become (-x, -y)
Where 540 degrees = 360 + 180
where 900 degrees = 360 + 360 + 180
Learn more about angle of rotation at
https://brainly.com/question/28672446
#SPJ1
A bag contains 19 blue, 28 purple, 21
red, and 29 orange balls. You pick
one ball at random. Find the
probability that it is not blue.
P(not blue) =
Simplify your answer completely.
Answer:
78/97
Step-by-step explanation:
First, add up all the balls to find the total amount of balls in the bag (19+28+21+29). Then determine how many balls are not blue (you could either take the total and subtract 19 or add up all the colors that are not blue). There are 97 balls total and 78 of them are not blue which is shown as 78/97. 78/97 cannot simplify further.
Someone help i really need help with this
Step-by-step explanation:
we just need to find out how many percentage of the daily goal each day, so let's assume that $50 is 100% of the daily goal.
Please help me I really don’t get this. ILL GOVE BRAINLIEST TO ANYONE PLEASD I GIVE 18 points
Answer: C, yes
Step-by-step explanation:
Again you have do the same thing to both sides
They added 1 to both sides
Answer is C , yes they are same
I NEED HELP ASAP I have to tern this packet in tomorrow and i do not know how to solve scales in geometry
Answer:
The anser is letter C)
Step-by-step explanation:
because it multiplies x3
0,5×3=1,5
1,5×10=15
10×3=30
Answer:
1cm=30m
Geometry
All I need is the letter that is correct. Don’t mind the ones I already circled
The translation of ABC by (Rx + Ry) is UVW and the rigid composition of XYZ to X'Y'Z' cannot be determined
Translation image of the triangleThe rule (Rx + Ry) represents a translation image of a shape, where R is a vector representing the direction and distance of the translation, and (x, y) are the coordinates of the original shape.
To apply this rule to a shape, we simply add the vector R to each point of the shape, which moves the shape in the direction and distance specified by R.
Using the above as a guide, we have the following the translation of ABC by (Rx + Ry) to be UVW
The rigid composition of XYZ to X'Y'Z'The triangle X'Y'Z' is not given in the figure
So, the rigid composition of XYZ to X'Y'Z' cannot be determined
Read more about transformation at
https://brainly.com/question/1548871
#SPJ1
Need help! I HAVE 30 MIN! will pay for all work shown (ZELLE ONLY) Do all 3 please!
Answer: i gotchu
Step-by-step explanation:
1) Since the base of this function is greater than 1, this means its increasing exponentially (increases from left to right). So as x approaches positive infinity, y approaches positive infinity as well.
Domain (-∞,∞) Range (0,∞)
2) If the base changes to 1/9 the function would decrease. So as x approaches positive infinity, y approaches 0 (Check attached screenshot)
3) The "+5" raises the horizontal asymptote up 5 units. So the new equation for the horizontal asymptote is y=5.
The "x-2" shifts the x values to the right by 2 units.
u dont have to pay me, i literally just learned this like a month ago :)
use compass and ruler to contruct bisector of the angle
Bisector of the angle is the line that divides the angle into two angles with the same measure. In the image attached, the bisector of the angle is represented by the green line.
Here, we have,
The next steps show you how to construct the bisector of the angle from a ruler and a compass.
Draw an arc using the vertex of the angle (O) as the center;
Mark the points A and B;
Draw an arc using the point (A) as the center;
Draw an arc, with the same radius, using the point (B) as the center. This arc should intersect the arc that you draw in the previous step.
Draw a line connecting the point C to the vertex O.
Finally, you have the bisector of the angle that is represented by the green line.
Learn more about the bisector of the angle here:
brainly.com/question/7288045
#SPJ1
For the following exercises, convert the angle measures to radians.
-236° (the exact answer) b) 601° (round to two decimal places)
The calculated values of the angle measures when converted to radians are 1.31π rad and 3.34π rad
Converting the angle measures to radians.To convert angles from degrees to radians, we multiply the number of degrees by π/180.
This means that
Angle = Degree measure * π/180
Using the above as a guide, we have the following:
Angle 236 = 236 * π/180
Evaluate the products
Angle 236 = 1.31π rad
Next, we repeat the same process for the second angle 601 degrees
Angle 601 = 601 * π/180
Evaluate the products
Angle 601 = 3.34π rad
Hence, the angles are 1.31π rad and 3.34π rad
Read more about angles at
https://brainly.com/question/25716982
#SPJ1
Select all that is TRUE
Question 11 options:
Adding a constant to all the data points does NOT change the correlation
Interchanging X and Y changes the correlation
Correlation has no units
Outliers do NOT effect the correlation
If r is close to 1 then it is a strong positive correlation
Correlation could be positive or negative
Correlation and y-intercept have the same sign
The True statements about the correlation are: (1), (2), (3), (5), (6) and (7)
1) We know that the adding, subtracting, multiplying or dividing a constant to all of the data points in one or both variables does not change the correlation coefficient.
So, the first statement is True.
2) We know that the correlation measures the strength of the pattern around a line of regression as well as the direction of the line. So, interchanging the variables would not change the correlation. The correlation between x and y is the same as the correlation between y and x.
Thus the second statement is True.
3) We know that the correlation coefficient does not have any units.
It is just a number between -1 to +1.
Thus the third statement is True.
4) We know that the outlier may weaken the correlation. It makes the data more scattered. So the correlation coefficient r gets closer to 0.
Thus the fourth statement is False.
5) We know that if the correlation coefficient r is close to 1 then it is a strong positive correlation and if r is close to -1 then it is a strong negative correlation.
Thus the fifth statement is True.
6) We know that the corrletaion coefficient values can range from -1 to 1.
Thus the sixth statement is True.
7) We know that the y-intercept is nothing but the point at which the regression line intercepts the y-axis. The y-intercept of the regression line and the correlation coefficient have the same sign.
Thus the seventh statement is True.
Learn more about the correlation here:
https://brainly.com/question/8707460
#SPJ1
In how many distinct ways can the digits in the number 2,563,183,083 be arranged?
(If there are any zero digits then assume they can be placed in any position)
Jennifer deposits money into a bank account. The amount of money in her account is measured in dollars, and can be modelled by the function A(m)= 1750(1.025)^m, where m is the number of months since the initial deposit.
What is the percent change in Jennifer's account balance each month? Is it increasing or decreasing? Justify answer.
a) The percent change in Jennifer's account balance each month is 2.5%.
b) Based on the future value function, A(m)= 1750(1.025)^m, the account balance is increasing because the growth factor is 1.025 and not less than 1.
What is a growth function?A growth function is a mathematical equation that shows a constant rate in increase or growth in value of the dependent variable.
A growth function is modeled by a growth factor greater than 1 while a decay function shows a decay.
Percentage change = 2.5% (1.025 - 1)
2.5% = 2.5 ÷ 100 = 0.025
Learn more about future value functions at https://brainly.com/question/18511147.
#SPJ1
Jim bought a pair of shoes for $50 and laces for $1. If the sales tax is 7%, how much tax must he pay?
(a) $3.57
(c) $0.36
(b) $350
(d) $35.70
Jim must pay tax $3.57.
The correct answer is (a) $3.57.
To calculate the sales tax that Jim must pay, we need to find 7% of the total cost of the shoes and laces.
The total cost of the shoes and laces is $50 (shoes) + $1 (laces) = $51.
To calculate the sales tax, we multiply the total cost by the tax rate:
Sales tax = 7% of $51
[tex]= 0.07 \times $51[/tex]
= $3.57.
Therefore, Jim must pay $3.57 in sales tax.
The correct answer is (a) $3.57.
For similar question on sales.
https://brainly.com/question/25743891
#SPJ11
The terminal point of 0 is (0,1). What is tan 0?
A local store was offering a discount of 25% on original parice on older model laptops. Gina bought an older model laptop for $963 that includes a 7% tax on the discounted price
Answer:
Step-by-step explanation:To solve this problem, we need to work backwards from the final price that Gina paid and determine the discounted price before tax was added.
Let x be the original price of the laptop. After a 25% discount, the discounted price is:
Discounted price = x - 0.25x = 0.75x
Next, we add 7% tax to the discounted price:
Final price = (0.75x) + 0.07(0.75x) = 0.8025x
We know that the final price that Gina paid was $963, so we can set up an equation:
0.8025x = 963
Solving for x, we get:
x = 1200
Therefore, the original price of the laptop was $1200, and the discounted price before tax was:
Discounted price = 0.75x = 0.75(1200) = $900
To check, we can add the 7% tax to the discounted price:
Final price = $900 + 0.07($900) = $963
This matches the price that Gina paid, so we can be confident in our answer.