Answer:
1) it takes him about 10.8 minutes
2) 525
Step-by-step explanation:
Answer:
11 minutes will it take him to type 385 words.
And 525
Step-by-step explanation:
The math is simple
Marine life depends on the microscopic plant life that exists in the photic zone, a zone that goes to a depth where only 1% of surface light remains. In some waters with a great deal of sediment, the photic zone may go down only 15 to 20 feet. In some murky harbors, the intensity of light d feet below the surface is given approximately by I= I0e^-0.23d
The percentage of the surface light :
\(\frac{I}{I_0} \times 100=27.25 \%\)
\($\frac{I}{I_0} \times 100=7.43 \%$\)
This is further explained below.
What percentage of the surface light will reach a depth of (A) 5 feet? (B) 10 feet?Generally, the equation for is mathematically given as
We have; the intensity of light d ft below the surface given by
I=I_0 \(e^{-0.26 d}\)
Where; I_0= Intensity of the light at the surface.
d= depth (in feet).
A)
d=5 \mathrm{ft}:
\(\quad I=I_0 \cdot e^{-0.26 \times 5} \\\\I=I_0 \times e^{-1 \cdot 30}$\)
\($\left(\frac{I}{I_0}\right)=e^{-1.30}=0.27253\)
In of form:
\(\frac{I}{I_0} \times 100=27.25 \%\)
b)
\($d=10 \mathrm{ft}:\)
\(\quad \mathrm{J}=\mathrm{I}_0 e^{-0.26 \times 10}\\\\=I_0 e^{-2.60}$\)
\($\left(\frac{I}{I_0}\right)\)=e^{-2.60}
\($\left(\frac{I}{I_0}\right)\)=0.07427
In form: \($\frac{I}{I_0} \times 100=7.43 \%$\)
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CQ
Marine life is dependent upon the microscopic plant life that exists in the photic zone, a zone that goes to a depth where about 1% of the surface light remains. In some waters with a great deal of sediment, the photic zone may go down only 15 or 20 feet. In some murky harbors, the intensity of light d feet below the surface is given by I=Ioe^-0.26d,Where Io is the intensity of light at the surface. What percentage of the surface light will reach a depth of (A) 5 feet? (B) 10 feet?
Use the distance formula to determine how far apart the given points are. Given: D(-12, 10) E(-1,5) Find: DE
Answer:
it d
Step-by-step explanation:
please help!
this is due by tonight
Answer:
6
Step-by-step explanation:
The two triangles are similar which means the the two length is parallel
.°., the Length of the smaller triangle=6
solve for x im begging you
Answer:
x=9
Step-by-step explanation:
12+9/9 = Enlargement Scale Factor
ESF = 2.3
2x+10/12=2.3
2x+10=28
2x=18
x=9
Question 10: The graph below shows a company's profits f(x), in dollars, depending on the price of 8.01 & 8.04
pens x, in dollars, sold by the company.
Part A (2pts): Highlight your answer below
150
90
00
30
f(x)
What does the maximum value represent?
A The point where no profit is made
B.
C.
D.
The point where the most profit is made
The point where the most pens are made
The point where no pens are made.
Part B (2 pts) Highlight/circle your answer What do the x-intercepts represent?
A.
The price per pen where the most profit is made
B.
The price per pen where no profit is made.
C.
D.
The point where the most pens are made.
The point where no pens are made.
Part C (3 pts): What is an approximate average rate of change of the graph from
x=3 to x = 6? Show your work.
Part D (3 pts) Drag & Drop into the blanks to describe the constraints of the
domain.
The domain of this graph given the situation is
because
beyond those points.
+
Z
The x-intercepts represent a zero profit, the maximum value of the graph represents the maximum profit, An approximate average rate of change of the graph from x=3 to x=5 represents the reduction in profit from 3 to 5 and the domain is constrained by x=0.
Part A:
The x-intercepts represent a zero profit.
The maximum value of the graph represents the maximum profit.
The function increases up till the vertex and decreases after it.
This means that the profit increases as it reaches the peak at the vertex.
It decreases after the vertex up till it reaches zero.
On the left of the first zero and on the right of the second zero, the profits are negative.
Part B:
An approximate average rate of change of the graph from x=3 to x=5 represents the reduction in profit from 3 to 5.
Part C:
Simply, the domain is constrained by x=0.
We are obliged at x=6 .
This is because we have to avoid a negative profit.
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15 is 60% of what number?
please hurry !
Answer:
15 is 60% of 25
Step-by-step explanation:
Hope it helps and have a great day! =D
~sunshine~
If f(a) = 3a - a2, which of the following are not true statements?
Select all that apply.
f(4) = -4
f(3) = 0
f(-1) = 2
f(0) = 3
f(-5) = -40
Answer:
f(-1) = 2
f(0) = 3
Step-by-step explanation:
f(a) = 3a - a²
f(4)= 3*4-4²= -4 ⇒ correctf(3)= 3*3-3²= 0 ⇒ correctf(-1) = 3*(-1)-(-1)²=-3+1= -2 ⇒ incorrect f(0) = 3*0-0²= 0 ⇒ incorrect f(-5) = 3*(-5)-(-5)²= -15-25= -40 ⇒ correctAnswer:
The 3rd and the 4th statement are not the true statements.
Step-by-step explanation:
In the 3rd statement, if you put a=-1 into the equation f(a), it would be
=3x(-1) - (-1)2
=-3 - 1
=-4.
In the 4th statement, if you put a=0 into the equation f(a), it would be
=3x(0) - (0)2
=0 - 0
=0.
For the other statements, they show the correct results.
Henry is going on a trip. The first leg of his trip is 32 miles, where he drives at a constant rate. The second leg of his trip is 12 miles, where he drives at half the rate of the first
leg. If the total trip takes 1 hour, how fast does Henry drive during the first leg of his trip?
Henry's rate of movement in the two legs can be determined by applying the formula of speed. Thus, his speed during his first leg is 0.6 hours.
The speed of an object is a measure of how fast it moves in a given time. So that;
Speed = \(\frac{Distance}{Time}\)
In the given question, let the rate of his fist leg be represented by x. Thus;
⇒ Time = \(\frac{Distance}{Speed}\)
For the first leg of his trip;
Time taken, \(T_{1}\) = \(\frac{32}{x}\)
For the second leg of his trip;
Time taken, \(T_{2}\) = \(\frac{12*2}{x}\)
= \(\frac{24}{x}\)
Given that the total trip takes 1 hour, then:
\(T_{1}\) + \(T_{2}\) = 1 hour
\(\frac{32}{x}\) + \(\frac{24}{x}\) = 1
\(\frac{56}{x}\) = 1
x = 56
Then;
\(T_{1}\) = \(\frac{32}{x}\) = \(\frac{32}{56}\)
= \(\frac{4}{7}\)
\(T_{1}\) = \(\frac{4}{7}\) hours
\(T_{2}\) = \(\frac{24}{x}\) = \(\frac{24}{56}\)
= \(\frac{3}{7}\)
\(T_{2}\) = \(\frac{3}{7}\) hours
Henry's speed during the first leg of his trip is \(\frac{4}{7}\) hours (0.6 hours).
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A moderately active man weighing 175 pounds should consume no more than 687 calories per day from fat sources. If fat contains 9 calories per gram, what is the maximum number of grams of fat he should consume? Give me a whole number or decimal rounded to one decimal place. Thanks! Expert only please.
According to the question, therefore, the maximum number of grams of fat he should consume will be 76.3 grams.
Step-by-step explanation:-Directly divide 687 by 9 as both are fat content. Therefore, by dividing them, we get to know about how grams of fat can be consumed.
✍️ By Benjemin
Simplify 8 + 24 - 2^3 i need help with this.
Answer:
24
Step-by-step explanation:
f(x) = x-1 /5
g(x) = 2x + 7
For what value of x is g(x) = ƒ−¹(x) true?
-1
According to the given statement, The value of x = -5 / 36.
What is a variable (x) ?The x variable is ubiquitous in math and stands for an unknown. It doesn't always have to be an x - any letter of our alphabet can represent an unknown. To work with variables, the first step is to identify the unknown and label it. Next is writing an equation you can solve to find the unknown.
Given: f(x) = x-1 /5
g(x) = 2x + 7
Solving for g(x) = ƒ(x),
2x + 7 = x-1 /5
10x + 35 = 5x - 1
5x = -36
x = -36 / 5
Hence, the value of x for g(x) = ƒ−¹(x) is x = -5 / 36.
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Calculate the mean and the population standard deviation for the data set, rounded to thousandths. {2, 3, 5, 0, 3, 2, 1, 1, 5, 7, 8, 5, 3}
SOMEONE PLEASE HELP
You exercise for 4 minutes to burn off 60 calories. If you exercise for 60 minutes and burn off 900 calories, is that correct?
Answer:
4 minutes 60 calories
60 minutes ?
Using cross-multiplication, you can find the solution.
4x = 3600
x = 900
Yes its true, you can burn 900 calories in 4 minutes
Refer to the information below to answer Questions 9 and 10. Value of Property Up to K35 000 K35 000 to K70 000 K70 000 to K140 000 Over K140 000 10. Rate of Stamp Duty 2% 3% 4% 5% 9. Calculate the stamp duty payable on properties whose purchase price is K45 000. (1 mark) Answer: Calculate the stamp duty payable on properties whose purchase price is K150 000. (1 mark) Answer:
9. The stamp duty payable on a property with a purchase price of K45,000 is K1,350.
10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.
To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.
Given:
Value of Property:
Up to K35,000: Stamp Duty Rate - 2%
K35,000 to K70,000: Stamp Duty Rate - 3%
K70,000 to K140,000: Stamp Duty Rate - 4%
Over K140,000: Stamp Duty Rate - 5%
9. Calculate the stamp duty payable on properties whose purchase price is K45,000:
Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.
Stamp Duty Payable = Purchase Price * Stamp Duty Rate
= K45,000 * 3%
= K45,000 * 0.03
= K1,350
Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.
10. Calculate the stamp duty payable on properties whose purchase price is K150,000:
Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.
Stamp Duty Payable = Purchase Price * Stamp Duty Rate
= K150,000 * 5%
= K150,000 * 0.05
= K7,500
Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.
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Add: 2p5+ (3p5-7)
Enter the correct answer.
the 5’s are exponents
Answer:
The final answer is 5p^5 - 7.
Step-by-step explanation:
Here are the step-by-step instructions for simplifying the expression 2p^5 + (3p^5 - 7):
Start by simplifying the expression inside the parentheses using the distributive property of multiplication:
2p^5 + (3p^5 - 7) = 2p^5 + 3p^5 - 7
Combine like terms by adding the coefficients of the p^5 terms:
2p^5 + 3p^5 = 5p^5
Rewrite the simplified expression by combining the result from step 2 with the constant term (-7) from step 1:
5p^5 - 7
The final answer is 5p^5 - 7.
Answer:
5p⁵ - 7
Step-by-step explanation:
2p⁵ + (3p⁵ - 7) = 5p⁵ - 7
How do you evaluate 35/a. When a =7
Answer:
5
Step-by-step explanation:
\(35/a\), when a = 7
Substitute
\(35/7\) \(=5\)
Answer:
5
Step-by-step explanation:
You substitute 7 for a in the equation.
35/a ——> 35/7
Evaluate it and your answe is 5.
I hope it helps! Have a great day!
Lilac~
Calculate the actual sales since the sales and sales tax were rung up together. Assume sales tax of 6% and total sales of $33,000.
Answer:
the actual sales be $31,132
Step-by-step explanation:
The computation of the actual sales is as follows:
Let us suppose the actual sales be x
Now the sales tax be 0.06x
Now the total sales would be
x + 0.06x = $33,000
1.06x = $33,000
x = $33,000 ÷ 1.06
= $31,132
hence, the actual sales be $31,132
The same is to be considered by applying the above equation
Answer:
actual sales be $31,132
Step-by-step explanation:
have a good holiday guys
Answer:
Well thank you so much you too
Step-by-step explanation:
Answer:
u too homie!
Step-by-step explanation:
i want free points
There are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag.
What is the theoretical probability of randomly drawing a red marble?
25%
62.5%
20%
41.7%
Answer:
20%
Step-by-step explanation:
The theoretical probability of drawing a red marble can be found by dividing the number of red marbles by the total number of marbles in the bag:
P(red) = number of red marbles / total number of marbles
P(red) = 5 / (5 + 8 + 12)
P(red) = 5 / 25
P(red) = 0.2
So the theoretical probability of randomly drawing a red marble is 20%, which corresponds to option (C).
What is the value of 4+ y if y = 18?
Answer:
22
Step-by-step explanation:
4+18 = 22
what is the 2nd equvilent fraction to 1/2
Answer:
The 2nd equivalent fraction to 1/2 is 2/4
Step-by-step explanation:
The 2nd equivalent fraction of 1/2 is obtained by multiplying 1/2 by 2/2.
2nd equivalent fraction = 1/2 × 2/2 = 2/4
5. Write the following inequality in slope-intercept form. −8x + 4y ≥ −52 y ≤ 2x − 13 y ≥ 2x − 13 y ≤ 2x + 13 y ≥ 2x + 13
Answer:35443
Step-by-step explanation:
The Venn diagram below shows the events A and B, and the probabilities p, q and r.
It is known that P(A)=0.43 , P(B)=0.62 and P(A∩B)=0.27 .
Calculate the value of p
Calculate the value of q
Calculate the value of r
Find the value of P (A given NOT B)
The value of q is 0.35.
The value of p is 0.16.
The value of r is 0.27.
The value of P(A given NOT B) is approximately 0.4211.
To calculate the values of p, q, and r, we can use the information provided in the Venn diagram and the probabilities of events A and B.
Given:
P(A) = 0.43
P(B) = 0.62
P(A∩B) = 0.27
Calculating the value of p:
The value of p represents the probability of event A occurring without event B. In the Venn diagram, p corresponds to the region inside A but outside B.
We can calculate p by subtracting the probability of the intersection of A and B from the probability of A:
p = P(A) - P(A∩B)
= 0.43 - 0.27
= 0.16
Therefore, the value of p is 0.16.
Calculating the value of q:
The value of q represents the probability of event B occurring without event A. In the Venn diagram, q corresponds to the region inside B but outside A.
We can calculate q by subtracting the probability of the intersection of A and B from the probability of B:
q = P(B) - P(A∩B)
= 0.62 - 0.27
= 0.35
Therefore, the value of q is 0.35.
Calculating the value of r:
The value of r represents the probability of both event A and event B occurring. In the Venn diagram, r corresponds to the intersection of A and B.
We are given that P(A∩B) = 0.27, so the value of r is 0.27.
Therefore, the value of r is 0.27.
Finding the value of P(A given NOT B):
P(A given NOT B) represents the probability of event A occurring given that event B does not occur. In other words, it represents the probability of A happening when B is not happening.
To calculate this, we need to find the probability of A without B and divide it by the probability of NOT B.
P(A given NOT B) = P(A∩(NOT B)) / P(NOT B)
We can calculate the value of P(A given NOT B) using the provided probabilities:
P(A given NOT B) = P(A) - P(A∩B) / (1 - P(B))
= 0.43 - 0.27 / (1 - 0.62)
= 0.16 / 0.38
≈ 0.4211
Therefore, the value of P(A given NOT B) is approximately 0.4211.
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Evaluate the function g(t)=23t, when t = 30.
Question 2 options:
A 10
B 25
C 20
D 15
One day at school you make the observations that kids in 12th grade are taller than kids in 9th grade. What does this illustrate?
A. causation
B. correlation
C. relationships
D. coefficients
Answer: B correlation
Answer:
correlation
Step-by-step explanation:
Evaluate the expression
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Answer:
11
Step-by-step explanation:
Substituting the values of x, y, and z into the expression, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.
Answer:
11
Step-by-step explanation:
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Substituting the given values of x, y, and z, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.
BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).
Which of the following fractions is not equivalent to 2?
3/6 10/5 2/1 (1 4/4)
Answer:
3/6.
Step-by-step explanation:
3/6 is 0.5, not 5.
Answer:4/4
Step-by-step explanation:
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*A raft is drifting from A to B in 6 hours. A motorboat goes
from A to B in 2 hours. If the speed of the raft is 3 mph, find the
speed of the motorboat in still water.
Answer:
Time taken by the un powered raft to cover this distance is T = 192.12 hr
Step-by-step explanation:
Let speed of boat = u
Speed of current = v
Let distance between A & B = 100 km
Time taken in downstream = 32 hours
u + v = 3.125 ------ (1)
Time taken in upstream = 48 hours
u - v = 2.084 ------- (2)
By solving equation (1) & (2)
u = 2.6045
v = 0.5205
Now the time taken by the un powered raft to cover this distance
Because un powered raft travel with the speed of the current.
T = 192.12 hr
Therefore the time taken by the un powered raft to cover this distance is
T = 192.12 hr
Answer:
\(6\text{ mph}\)
Step-by-step explanation:
To find the the distance between A and B, use \(d=rt\), where \(d\) is distance, \(r\) is rate/speed, and \(t\) is time.
The raft travels from A to B in 6 hours at a rate of 3 mph. Thus, the distance from A to B must be:
\(d=3\cdot 6=18\) miles.
Since the motorboat travels the same distance in 2 hours, its rate/speed must be:
\(18=2r,\\r=\frac{18}{2}=9\text{ mph}\)
Because the raft is drifting, the speed of the current must be \(3\text{ mph}\) in the direction of the raft (from A to B). Thus, let the motorboat's speed be \(m\):
\(m+3=9,\\n=\boxed{6\text{ mph}}\)
Solve for xx. Round to the nearest tenth if necessary.
Answer:
x = 37.5
Step-by-step explanation:
By Basic Proportionality Theorem:
\( \frac{x}{20} = \frac{46 - 16}{16} \\ \\ \frac{x}{20} = \frac{30}{16} \\ \\ x = \frac{20 \times 30}{16} \\ \\ x = \frac{600}{16} \\ \\ x = 37.5\)
Answer:
x=37.5
Step-by-step explanation:
16/20=30/x
cross multiply
16x=600
x=37.5
A force of 50 pounds is exerted at an angle of 80 with the horizontal. What is its horizontal component? 49 lb. 29 lb. 9 lb.
Answer:
i think its 7 thousand ngl
Step-by-step explanation: