Answers
ANSWER:
Option c
[tex]h=-\frac{\operatorname{\ln}(0.62)}{0.079}[/tex]STEP-BY-STEP EXPLANATION:
The function given in the statement is the following:
[tex]D(h)=615\cdot\:e^{-0.079h}[/tex]If D(h) = 383, we substitute and solve for h, just like this:
[tex]\begin{gathered} 383=615\cdot \:e^{-0.079h} \\ \\ e^{-0.079h}=\frac{383}{615} \\ \\ \ln(e^{-0.079h})=\ln\left(\frac{383}{615}\right) \\ \\ -0.079h=\ln(0.62) \\ \\ h=-\frac{\ln(0.62)}{0.079} \end{gathered}[/tex]Therefore, the correct answer is option c.
Related Questions
Tina has two bags of counters. Bag A has 5 red and 3 blue. Bag B has 4 red and 5 blue. Work out the probability that tina takes two blue counters in fraction.
Answers
Tina has two bags of counters. Bag A has 5 red and 3 blue. Bag B has 4 red and 5 blue. The probability that tina takes two blue counters in fraction is 15/72
What is the probability?Given parameters:
Bag A= 5 red + 3 blue
Bag B = 4 red + 5 blue
Hence,
Total counters in bag A = 5 +3 = 8
Total counters in bag B = 4 + 5 = 9
Now let determine the probability that she takes two blue counters
Probability = 3 /8 × 5 /9
Probability = 15 / 72
Therefore 15 / 72 is the probability that two blue was taken.
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find the ratio of the boxes and the circles there are 7 boxes and 10 circles
Answers
The ratio of boxes to the circles is 7: 10
Martin eats 3/8 of a pizza. Felix eats 2/5of a pizza of
same size. Who eats more pizza? How much more pizza
does he eat?
Answers
URGENT!!!!!!!!!
Thank you to whoever solves it right!
Answers
Answer:
D
Step-by-step explanation:
The plane was at 24,000+ feet above the ground and then it ROSE (indicating an addition of feet to the original) 7,00+ feet.
Hope that helps
Can you please explain? I have the other options also.
Answers
Given
[tex]f(x)=\frac{1}{3}\lvert x+4\rvert-4[/tex]The graph
Please see image attached on using the diagram to name the ray
Answers
Given:
Find - Name of rays
Sol:
Ray:- In geometry, a ray can be defined as a part of a line that has a fixed starting point but no endpoint can extend infinitely in one direction. On its way to infinity, a ray may pass through more than one point.
So rays is
[tex]=\vec{AE}[/tex]The amount of vinegar that melody used for a recipe can be written as a whole number which could be the amount of vinegar that Melody used?A. -3.75 tspB. 1.5 tspC. 2 1/3 tspD. 12/3
Answers
Given:
The amount of vinegar that melody used for a recipe can be written as a whole number.
So, we will check the options to find which one represents a whole number
The whole number does not contain numbers after the decimal point and also the denominator will be 1
So, the answer is option D) 12/3 = 4
The proportion of a population with a characteristic of interest is p = 0.37. What is the standard deviation of the sampling distribution when the sample size is 1,600?
Answers
The standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 is equal to 0.0121.
What is a sample proportion?A sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.
Mathematically, sample proportion can be calculated by using this formula:
[tex]\hat{p} = \frac{x}{n}[/tex]
Where:
x represent the number of individuals with a specified characteristic.n represent the total number of individuals in a sample.In Mathematics, the standard deviation (SD) of a sample proportion obtained when the sample size is 1,600 can be calculated by using this formula:
Standard deviation (SD) = √(p(1 - p)/n)
Substituting the given parameters into the formula, we have;
Standard deviation (SD) = √(0.37(1 - 0.37)/1,600)
Standard deviation (SD) = √(0.37(0.63)/1,600)
Standard deviation (SD) = √(0.2331)/1,600)
Standard deviation (SD) = √0.0001457
Standard deviation (SD) = 0.0121.
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Christine gets $71 for working the weekend. She buys $53 in clothes and then
makes another $45 babysitting. How much does she have now?
Answers
Answer:
63 i think!
Step-by-step explanation:
71-53 is 18. 18+45 is 63!
Im so so so sorry if im wrong, have a nice day friend!: )
18 +45=63 dollar left
8x – 12y = – 24 a. x-intercept: b. y-intercept: 10+ C. graph 9 8 7 6 5 4 13 2 -10 -9 -8 -7 -6 -5 -4 -B-2 -1 2 15 4 SI 6 8 9 10 -2 3 -6 -7 -8 9 10 Clear All Draw:
Answers
To determine the x- and y-intercepts is best to write the equation in slope-intercept form.
Given
[tex]8x-12y=-24[/tex]-Pass the x-term to the right side of the equation by applying the opposite operation to both sides of it:
[tex]\begin{gathered} 8x-8x-12y=-8x-24 \\ -12y=-8x-24 \end{gathered}[/tex]-Divide both sides of the equal sign by -12
[tex]\begin{gathered} \frac{-12y}{-12}=\frac{-8x}{-12}-\frac{24}{-12} \\ y=\frac{2}{3}x+2 \end{gathered}[/tex]So the equation in slope-intercept form is:
[tex]y=\frac{2}{3}x+2[/tex]a) The x-intercept is the point where the line crosses the x-axis, at this point, the y-coordinate is equal to zero. To determine the x-coordinate of the intercept, you have to equal the equation to zero and calculate the corresponding value of x:
[tex]0=\frac{2}{3}x+2[/tex]-Subtract 2 to both sides of the equal sign
[tex]\begin{gathered} 0-2=\frac{2}{3}x+2-2 \\ -2=\frac{2}{3}x \end{gathered}[/tex]-Multiply both sides of the expression with the reciprocal fraction of 2/3
[tex]\begin{gathered} (-2)\frac{3}{2}=(\frac{2}{3}\cdot\frac{3}{2})x \\ -3=x \end{gathered}[/tex]The x-intercept is (-3,0)
b) The y-intercept is the point where the line crosses the y-axis, at this point, the x-coordinate is equal to zero. To determine the y-intercept, replace the equation with x=0 and calculate the corresponding value of y:
[tex]\begin{gathered} y=\frac{2}{3}x+2 \\ y=\frac{2}{3}\cdot0+2 \\ y=2 \end{gathered}[/tex]The y-intercept is (0,2)
c) To graph the line, plot both intercepts on the coordinate system and then link both points with a line:
A rectangular room is 4 meters longer than it is wide, and its perimeter is 24 meters. Find the dimension of the room.The length is : meters and the width is meters.
Answers
We are given the following information
Perimeter of the rectangular room = 24 meters
The rectangular room is 4 meters longer than it is wide.
Let L be the length and W be the width of the rectangular room.
[tex]L=4+W[/tex]The perimeter of a rectangular shape is given by
[tex]P=2(L+W)[/tex]Substitute P = 24 and L = 4 + W into the above equation
[tex]\begin{gathered} P=2(L+W) \\ 24=2(4+W+W) \\ 24=2(4+2W) \\ 24=8+4W \\ 24-8=4W \\ 16=4W \\ \frac{16}{4}=W \\ W=4\;m \end{gathered}[/tex]So, the width of the rectangular room is 4 meters.
[tex]\begin{gathered} L=4+W \\ L=4+4 \\ L=8\;m \end{gathered}[/tex]So, the length of the rectangular room is 8 meters.
Length = 8 meters
Width = 4 meters
Example Problem:
Suppose that perimeter is 1055 meters.
The length is 45 meters longer than the width of the rectangle.
[tex]L=45+W[/tex]Now, substitute P = 1055 and L = 45 + W into the equation for the perimeter of the rectangle.
[tex]\begin{gathered} P=2(L+W) \\ 1055=2(45+W+W) \\ 1055=2(45+2W) \\ 1055=90+4W \\ 1055-90=4W \\ 965=4W \\ W=\frac{965}{4} \\ W=241.25\;m \end{gathered}[/tex]So, the width of the rectangle is 241.25 meters.
[tex]\begin{gathered} L=45+W \\ L=45+241.25 \\ L=286.25\;m \end{gathered}[/tex]So, the length of the rectangle is 286.25 meters
two trains travel at a constant speed. Train a travels 1400 miles in 5 hours and train b travels 2100 miles in 7 hours. Which train travels faster?
Answers
Explanation: 1400 divided by 5 times by 7= 1960 miles
Given that events A and B are independent with P(A)=0.85 and P(B) = 0.3,determine the value of P(A|B), rounding to the nearest thousandth, if necessary.
Answers
The Solution.
Given that
[tex]\begin{gathered} P(A)=0.85 \\ P(B)=0.3 \end{gathered}[/tex]The conditional probability P(A/B) is given as
[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]But for independent events, we have that
[tex]P(A\cap B)=P(A)\times P(B)[/tex]Hence, it follows that
[tex]\begin{gathered} P(A|B)=\frac{P(A)\times P(B)}{P(B)}=P(A)=0.85\approx0.850 \\ \text{though the nearest thousandth is not necessary.} \end{gathered}[/tex]Therefore, the correct answer is 0.85 ( 0.850 if you consider it necessary)
A cylinder with a radius of 1 yd and a height of 2 yd
Answers
Hello! I need some help with this homework question, please? The question is posted in the image below. Q11
Answers
A one-to-one function means that there are no two elements in the domain of the function that corresponds to the same element in the range,
Mathematically since
[tex]\begin{gathered} x\text{ is the input or the domain, then} \\ f(x)\text{ is the output} \end{gathered}[/tex]A one-to-one follows that
[tex]\text{if }x_1\text{ and }x_2\text{ are two different inputs of a function }f,\text{ then }f(x_1)\neq f(x_2)[/tex]determine the domain of each function yx-3x=3y-1
Answers
Domain of the given function yx-3x=3y-1 is ( -∞,3) ∪ (3,∞), {x|x [tex]\neq[/tex] 3}.
What is a domain?The dependent variable and the independent variable are the two types of variables used to define a function.
The domain of a function is a set of all possible values of x which is an independent variable. For example The domains of function f(x)=x² can be all real numbers.
Despite x=0, the domain of g(x)=1/x can contain any real number.
The input values to a function are referred to as domains, while the output values are referred to as the range. The data flow is as follows:
Domain → Function → Range
We are aware that the value of x is the function's domain. Therefore, the domain is ( -∞,3) ∪ (3,∞), {x|x [tex]\neq[/tex] 3} for the provided function.
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HELP ASAP I NEED ANSWER NOWW IT'S MISSING PLEASE HELP 50 POINTS
Answers
Answer:Let r be the number of rides and g be the number of games.
2.50g + 4.00r = 52.50
r = 2g
Step-by-step explanation:
Answer:
lol no
Step-by-step explanation:
all the odd numbers from 51 to 5001 are written what is the total number of digits used
Answers
Answer:
9404 digits
Step-by-step explanation:
The numbers written:
51, 53, 55, 57, 59, . . . 97, 99 [5*5=25 numbers; 50 digits]
101, 103, 105, . . . 997, 999 [9*50=450 numbers; 1350 digits]
1001, 1003, 1005, . . . 4997, 4999, 5001 [40*50+1=2001 numbers; 8004 digits]
Total:
50 + 1350 + 8004 = 9404 digits
Elsa is saving money to buy a game. So far she saved $24, which is two-thirds of the total cost of the game. How much does the game cost?
Answers
Elsa is saving money to buy a game.
So far she saved $24, which is two-thirds of the total cost of the game.
let the cost of the game is $x
Then, two -third of the total cost = 2/3 x
Since, it is given that 24 is the two-thirds of the total cost of the game.
i.e.
[tex]\frac{2}{3}x=24[/tex]Simplify the expression for x;
[tex]\begin{gathered} \frac{2}{3}x=24 \\ \text{ Apply cross multiplication;} \\ 2x=24\times3 \\ x=\frac{24\times3}{2} \\ x=12\times3 \\ x=36 \end{gathered}[/tex]x = 36
Total cost of the game is $36
....
4. What is the value of x such that 5x + 2a > 2x-a?
a. x < -a
b. x > -a
C. x < a
d. x > a
Answers
Answer:
D: x > a
Step-by-step explanation:
We have 5x - 2a > 2x-a
We can rewrite this equation by subtracting 2x on both sides, which gives:
5x - 2x -2a > 2x - 2x - a,
so 3x - 2a > a
We now add 2a on both sides, which gives:
3x -2a + 2a > a + 2a, so 3x > 3a
We nog divide both sides by 3, which gives:
3x/3 > 3a/3, so x>a
The correct answer is D
Bill owns land but has no access to water so he has to pay for well water from Jim.
Jim charges him $8 per month plus $0.80 per gallon.
During any given summer month, his water bill costs between $48 and $72.
Write and solve a compound inequality to determine how much water Bill is using.
Answers
Inverse & Composition of Functions
1. Find the inverse of f(x) = x² + 2
Answers
Answer: √x−2,−√x−2
Step-by-step explanation:
45.6 divided by 0.03
Answers
Answer:
1,520
Step-by-step explanation:
Find the value of x in the diagram. ΔPQR ~ ΔSTU
Answers
following points would fall on the line produced by the point-slope form equation y - 3 = 1/2(x - 7) when graphed
Answers
Points which would fall on the line produced by the point-slope form equation y - 3=1/2(x - 7) when graphed are as follow:
c. (1,0)
d. (3, 1)
As given,
Equation of given line
y - 3=1/2(x - 7)
Points which would fall on the line produced by the point-slope form:
a.(0,1)
x=0
y-3=1/2(0-7)
⇒ y=-1/2
b.(1,-1)
x=1
y-3=1/2(1-7)
⇒y=0
c.(1,0)
x=1
y-3=1/2(1-7)
⇒y=0
Required point
d.(3,1)
x=3
y-3=1/2(3-7)
⇒y=1
Required point
Therefore, points which would fall on line produced by the point-slope form equation y - 3 = 1/2(x - 7) when graphed are as follow:
c. (1,0)
d. (3, 1)
The complete question is :
Which of the following points would fall on the line produced by the point-slope form equation y - 3 = 1/2(x - 7) when graphed?
a. (0,1) b. ( 1,-1) c. (1,0) d. (3,1)
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What is the completely simplified form of the expression 2(1 - 3x) - (5x + 1)?
A) -11x + 1
B) -8x + 1
C) -11x + 3
D) -8x + 3
Answers
Answer:
A
Step-by-step explanation:
2(1-3x)-(5x+1)
=2-6x-5x-1
=1-6x-5x
=1-11x/-11x+1
If 3 dogs eat 4 pounds of food per day, how many dogs eat 15 pounds of food?
Answers
11 dogs will eat 15 pounds of food.
According to the question,
We have the following information:
3 dogs eat 4 pounds.
We have to find how many dogs will eat 15 pounds.
We have the following expression:
4 pounds = 3 dogs
We can treat dog as a non-living object or a product.
So, we can find the parts devoted to 1 pound:
1 pound = 3/4
Now, we have to find the same for 15 pounds:
15 pounds = (3/4)*15
15 pounds = 11.25
Now, note that the number of dogs can not be in points. So, we will round it off to form a whole number.
So, 15 pounds = 11 dogs
Hence, 15 pounds of food is enough for 11 dogs.
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13. The model represents an equation. 1 1 1 1 À AC X DOOD D0000 solue.) What value of x makes the equation true? 15.
Answers
Answer:
The equation is true when x = 2.25
Explanation:
On the left side of the equation, there are 3 triangles with value -x and 10 triangles with value 1. So, the expression for the left side of the equation is:
3*(-x) + 10*(1)
-3x + 10
For the right side, we have 5 triangles with value x and 8 triangles with value -1. So, the expression for the right side is:
5*x + 8*(-1)
5x - 8
Now, we can write the equation as:
-3x + 10 = 5x - 8
So, solving for x, we get:
-3x + 10 + 3x = 5x - 8 + 3x
10 = 8x - 8
10 + 8 = 8x - 8 + 8
18 = 8x
18/8 = x
2.25 = x
Therefore, the equation is true when x is equal to 2.25
Justin places a bet on the giants to win the superbowl. the odds are 2:3. a) Are the giants expected to win? why or why not?b) Find P(Giants win)=
Answers
To convert the odds to a probability, we can divide the odds by one plus the odds.
then, in this case we have the following:
[tex]\begin{gathered} \text{odds:} \\ 2\colon3=\frac{2}{3} \\ \Rightarrow1+\frac{2}{3}=\frac{5}{3} \end{gathered}[/tex]then, we have that the probability is:
[tex]\frac{\frac{2}{3}}{\frac{5}{3}}=\frac{2\cdot3}{5\cdot3}=\frac{2}{5}[/tex]thus, the probability that the Giants will win the superbowl is 2/5=0.4=40%
As we can see, we cannot expect for sure that the giants will win
The pie chart below shows how the annual budget for a certain company is divided by department. If the amount budgeted for sales and research combined is 75,000,000. What is the total annual budget?
Answers
$150,000
1) In that pie chart, we can tell that the Sales and Research department combined responds to 50% (35%+15% =50%)
2) Thus, we can tell that:
[tex]\begin{gathered} 0.35x+0.15x=75000 \\ 0.5x=75000 \\ x=\frac{75000}{0.5} \\ x=150,000 \end{gathered}[/tex]So, since 50% of that budget corresponds to $75,000 we can tell that 100% (the total budget) corresponds to twice that figure, which yields 150,000