s + 2 = 85 solve for s
Answers
Related Questions
Convert the equation f(t) = 227e b= -0.09€ to the form f(t) = ab* Give answers accurate to three decimal places
Answers
= 173.903t
Step-by-step Explanation:
The given equation is: f(t) = 227e^(b*t)
To convert it to the form f(t) = ab, we need to write it in the form of f(t) = a * e^(k*t), where a and k are constants.
Let's start by taking the natural logarithm (ln) of both sides:
ln(f(t)) = ln(227e^(b*t))
Using the properties of logarithms, we can simplify this to:
ln(f(t)) = ln(227) + ln(e^(b*t))
ln(f(t)) = ln(227) + b*t
Now, let's define a new constant, k = b, and rewrite the equation in terms of a and k:
ln(f(t)) = ln(a) + k*t
where a = 227 and k = -0.09
Taking the exponential of both sides, we get:
f(t) = e^(ln(a) + k*t)
f(t) = e^(ln(a)) * e^(k*t)
f(t) = a * e^(k*t)
Substituting the values of a and k, we get:
f(t) = 227 * e^(-0.09*t)
Therefore, the equation f(t) = ab is:
f(t) = 227e^(-0.09t) ≈ 173.903t (rounded to three decimal places)
PLEASE HELP ASAP
Three key features of a linear function are described as shown.
• The graph of the function has a y-intercept of (0, 3) .
• The function is increasing over its entire domain.
• The x-intercept of the function is (-4, 0).
Answers
Answer:
y = 3/4 x + 3
Step-by-step explanation:
slope of the line :
(0-3)/(-4-0)
-3/-4
3/4
y = 3/4 x + 3
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answers
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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find the difderence of 3/4 and 1/28
Answers
Answer:
5/7
Step-by-step explanation:
3/4-1/28
21/28-1/28
20/28
simplify
5/7
Solve for m∠PNM.
58
186
97
87
Answers
The calculated measure of m∠PNM is 87 degrees
How to calculate the meausre of m∠PNM.from the question, we have the following parameters that can be used in our computation:
The circle
Where, we have
PM = 360 - 64 - 122
Evaluate
PM = 174
Next, we have
m∠PNM = 1/2 * 174
So, we have
m∠PNM = 87
Hence, the measure of m∠PNM is 87 degrees
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I am needing help with the second part of the problem
Answers
Solution
The fourth diagonal is
\(1,4,10,20,35,...\)We want to find the 11th number
\(\begin{gathered} T_1=a_1=1 \\ T_2=a_2-a_1=4-1=3 \\ T_3=a_3-a_2=10-4=6 \\ T_4=a_4-a_3=20-10=10 \\ T_5=a_5-a_4=35-20=15 \end{gathered}\)We also compute
\(\begin{gathered} T_1=1 \\ T_2-T_1=3-1=2 \\ T_3-T_2=6-3=3 \\ T_4-T_3=10-6=4 \\ . \\ . \\ . \\ T_n-T_{n-1}=n \\ Adding\text{ up the above we have} \\ T_n=1+2+3+...+n \\ T_n=\frac{n(n+1)}{2} \end{gathered}\)To get the 11th number
\(\begin{gathered} a_{11}=T_1+T_2+T_3+...+T_{11} \\ \\ a_{11}=\sum_{n\mathop{=}1}^{11}[\frac{n(n+1)}{2}] \\ \\ a_{11}=286 \end{gathered}\)The answer is
\(286\)Which of these are true? And can you explain why?
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Statement C is true"Every lens has two focal points".Option C is correct.
Focal points
The point where rays or waves converge after being reflected or refracted, or the place where rays or waves appear to diverge.
Every lens has two focal points. Because There are two focal points on each lens, one on each side. Lenses, in contrast to mirrors, can let light through either face depending on the direction the incident rays are coming from.
Another statement is incorrect due to following reasons,
The focal length is the distance between the lens's focal point and its center. The focal point is where two parallel rays converge after going through the lens. If the medium is the same on both sides, the focus point and, consequently, the focal lengths, will also be the same.
Every lens has two identically spaced-apart focal points on its two opposite sides. The focal length is the measurement between the lens and the point of focus. The focal length is always positive for converging lenses and always negative for divergent lenses.
Hence option C is correct.
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HELP ME PLZ ITS DUE SOON THX
Acetaminophen is a common pain reliever and fever reducer. Here is a graph showing the amount of acetaminophen, in milligrams, in an adult's body at different times after they take a normal dose.
1. What is the vertical intercept? What does it mean in this situation?
2. What fraction of the medicine remained after one hour?
3. Write an equation that represents the amount of medicine, a, after t hours.
Answers
Answer:
1.1000
2.3/4
3.f(x)=1000(1/4)^X
Step-by-step explanation:
In a recent year, 31.6% of all registered doctors were female. If there were 53,000 female registered doctors that year, what was the total number of registered doctors?
Answers
Answer:
The total number of registered doctors was 167,722.
Step-by-step explanation:
Total number of doctors:
The total number of doctors is given by x.
31.6% of all registered doctors were female. 53,000 female doctors.
This means that:
\(0.316x = 53000\)
What was the total number of registered doctors?
We have to solve the above equation for x. So
\(x = \frac{53000}{0.316}\)
\(x = 167722\)
The total number of registered doctors was 167,722.
Joey is trying to decide which of their games they should bring to game night. If Joey owns 40 games but only
decides to bring 5, how many combinations of games are possible?
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The combination of possible games Joey can bring to the game night is 658008.
What is a combination?A combination is a mathematical approach for determining the number of potential arrangements in a set of objects when the sequence and order of the selection are irrelevant.
Mathematically, it can be expressed as:
\(\mathbf{C(n,r) = (^n_r) = \dfrac{n!}{(r!(n-r)!)}}\)
From the given information:
Total number of object (n) = 40Number of choosing object (r) = 5\(\mathbf{C(n,r) = \dfrac{40!}{(5!(40-5)!)}}\)
\(\mathbf{C(n,r) = \dfrac{40!}{(5!(35)!)}}\)
C(n, r) = 658008
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What is NOT an example of a short term debt?
A monthly electric bill
medical bill due within 90 days
A grocery bil
A nome morgage
Answers
Answer:
C
Step-by-step explanation:
Maybe it's wrong, and maybe it's right.
Just glad I helped!
PLEASE ANSWER THE QUESTION IN THE PICTURE PLEASE!!!!!
Answers
Using the properties of similar triangles the value for statue's height is obtained as 12 meters.
What are triangles?
Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.
We can use the property of similar triangles to find the height of the statue.
The two right triangles we have are similar because they have the same angles.
Let h be the height of the statue.
Then, the distance from the statue to the mirror is 4 + h, and the distance from the mirror to Patty's eyes is 2.4.
Using the property of similar triangles, we can write -
h / (4 + h) = 1.8 / 2.4
Cross-multiplying, we get -
2.4h = 1.8(4 + h)
Expanding and simplifying, we get -
2.4h = 7.2 + 1.8h
0.6h = 7.2
h = 12
Therefore, the height of the statue is 12 meters.
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A clock lost 2 minutes and 36 seconds in 78 days. How many seconds did it loose per day?
Answers
Answer: 2
Because with your Hint all you had to do was solve the problem and you should have gotten 2 soooo, the day lost 2 seconds per day.
Answer:
the clock lost 2 seconds per day
Help fast functions help
Answers
C because there can't be two different outputs for the same input.
\(what \: is \: \frac{6}{5} \times \frac{3}{7}\)
Write your answer as a fraction in simplest form
Answers
Answer:
18/35
Step-by-step explanation:
What is the coefficient of q for (2/3q-3/4)+(-1/6-2)
Answers
The coefficient of q is -1/12
What is coefficient?
A coefficient refers to a number or quantity placed with a variable. It is usually an integer that is multiplied by the variable and written next to it. The variables which do not have a number with them are assumed to be having 1 as their coefficient.
Now, Come to the question:
To find the coefficient of q
\((\frac{2}{3q}-\frac{3}{4}) +(\frac{-1}{6} -2)\)
Taking L.C.M
\((\frac{8-9}{12} )q + (\frac{-1-12}{6} )\\\\(\frac{-1}{12} )q + (\frac{-13}{6} )\)
Hence, The coefficient of q is -1/12
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100 points I need help
Answers
Answer:
D is located at (-5, 2)
Answer:
point D
Step-by-step explanation:
(-5, 2) can be represented as (x, y)
This mean when x = -5, y is = 2
We need to trace the x-axis to -5 and get the corresponding point at y equals to 2
Tracing the point on the graph, we find the point D is at x = -5 and y = 2
Hence, point D is located at (-5, 2)
6 sin =5 solve to the nearest 0.1
Answers
Step-by-step explanation:
sin Φ = 5/6 = .8333
Arcsin ( sin Φ) = arcsin (.8333)
Φ = 56.4 degrees
(mrh ch03-3007n) you have a binomial random variable with probability of success 0.6. assume the trials are independent and p remains the same over each trial. what is the probability of more than 3 successes if you have 6 trials? (do not count the situation with exactly 3 successes.) in other words, what is pr(x > 3)? enter your answer as a number between 0 and 1 and carry it to three decimal places. for example, if you calculate 12.34% as your answer, enter 0.123.
Answers
The probability of more than 3 successes in 6 trials with a probability of success of 0.6 is 0.4558.
To calculate the probability of more than 3 successes in 6 independent trials with a binomial distribution where the probability of success is 0.6, we can use the cumulative distribution function (CDF) of the binomial distribution:
Pr(x > 3) = 1 - Pr(x ≤ 3)
To find Pr(x ≤ 3), we can use the binomial probability mass function (PMF) for each possible value of x and add them up:
Pr(x = 0) = (6 choose 0) × 0.6^0 × 0.4^6 = 0.0041
Pr(x = 1) = (6 choose 1) × 0.6^1 × 0.4^5 = 0.0409
Pr(x = 2) = (6 choose 2) × 0.6^2 × 0.4^4 = 0.1536
Pr(x = 3) = (6 choose 3) × 0.6^3 × 0.4^3 = 0.3456
Therefore, Pr(x ≤ 3) = 0.0041 + 0.0409 + 0.1536 + 0.3456 = 0.5442
Finally, we can calculate Pr(x > 3) as follows:
Pr(x > 3) = 1 - Pr(x ≤ 3) = 1 - 0.5442 = 0.4558
Therefore, the probability is 0.4558
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Each side length of a triangle is 4 cm. What type of triangle is it?
☐ right
□acute
Equilateral
Isosceles
Answers
Answer: Equilateral
Step-by-step explanation:
It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.
Hope you understood.
Brittany's W-2 reported total Medicare withholding based on wages of as $117,676. She contributed
$72.07 biweekly to her FSA and 10% of each paycheck to her retirement plan. She received a 1099 from
her bank for interest and dividends of $2,404 and a 1099 form in the amount of $4,600 from an employer
for whom she did some consulting work. What is Brittany's adjusted gross income?
Answers
Answer:
Step-by-step explanation
I:
By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0
Answers
By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.
To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.
Let's start by graphing the constraints:
1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.
2. Plot the line -x + 3y = 6 using a similar process.
3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.
Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.
Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.
Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.
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39. From the top of a vertical cliff 50 meters high, the angles of depression of an object that is levelled with
the base of the cliff is 30°. How far is the object from the base of the cliff?
A. 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
41. From the top of the building of a food chain, the angle of depression from where Miguel stands is
45°. If the building is 12 meters high, how far is he from it?
A. 11 meters
B. 12 meters
C. 13 meters
D. 14 meters
42. A plane, at an altitude of 3,000 feet, observes the airport at an angle of 27°. What is the
horizontal distance between the plane and the airport to the nearest foot?
A. 3,000 feet
B. 4,000 feet
C. 5,000 feet
D. 6,000 feet
43. An escalator has an angle of elevation of 10° and a vertical rise of 6 m. Find the length of the
escalator.
C. 34.55 m
D. 36 m
A. 6,09 m
B. 34,03 m
Answers
Answer: cos4
Step-by-step explanation: 50 meters
B. 50-√3 meters
C. 100 meters
D. 100-√3 meters
40. What expression is used to answer: "A 4-m tall man stands on horizontal ground 43 m from a tree.
The angle of depression from the top of the tree to his eyes is 22°. Estimate the height of the tree."
A. sin 22
B. cos 22
C. tan 22
D. cot 22
A suspect of a crime is traveling on 26th Street toward Cherry Street. The diagram shows the locations of the suspect and a police officer. Your friend says that the officer should wait at point C to intercept the suspect because the officer will have the same distance to travel no matter which route the suspect takes. Is your friend correct? Explain.
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AC is not equal to CE based on the angle bisector theorem. The answer is: C. NO, you cannot use the angle bisector theorem to determine that AC = CE.
What is the Angle Bisector Theorem?According to the angle bisector theorem, when a line segment divides an angle of a triangle, the line segment also divides the opposite side but does so in such a way that the two segments are proportional to the other two sides of the triangle. However, the two segments are not congruent to each other.
In the diagram given below that shows the suspect, the police officer, and the 26th Street toward Cherry Street, the angle bisector divides the side opposite to the angle divided into AC and CE. Thus, their length cannot be ascertain to be congruent to each other, however, based on the angle bisector theorem, we can only prove that their length is proportional to the other two sides of the triangle.
Therefore, we can conclude as saying:
C. NO, you cannot use the angle bisector theorem to determine that AC = CE.
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What is the probability of getting tails on two coins only (there are 3 coins by the way)
Answers
Answer:
1/2
please mark me brainliest
.
Five more than the product of a number and 8 equals 9.
Use the variable b for the unknown number.
Answers
The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."
To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:
8b + 5 = 9
To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:
Subtract 5 from both sides to get rid of the constant term:
8b + 5 - 5 = 9 - 5
8b = 4
Divide both sides of the equation by 8 to solve for b:
8b/8 = 4/8
b = 1/2
Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:
8(1/2) + 5 = 9
4 + 5 = 9
Both sides of the equation are equal, confirming that b = 1/2 is the solution.
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Karlene has $4.75. Which comanation f coins is correct
A. 20 quarters
B. 16 quarters, 5 dimes, 2 nickles
C. 15 quarters, 8 dimes, 4 nickles
D. 12 quarters, 12 dimes
Answers
Consider the sequence 5, 12, 19, 26, ... Enter numbers in the boxes to represent the fourth term as an ordered pair. ( , )
Answers
Answer:
(4,33)
Step-by-step explanation:
This is an arithmetic sequence with common difference of 7.
The fourth term = 26+7 = 33
if (a, b) is a point that lies on the y axis what is the value of a
Answers
Answer:
0
Step-by-step explanation:
If it lies on the y-axis, the only x-coordinate that is possible will be 0.
Answer:
value of a = 0
Step-by-step explanation:
becaus if the point Lies on y Axis then x=0
a=x
b=y
if IT the point was on x Axis then
y=0
the formule y= a.x+b
is used when a is asked
in this case we don't need to use the formule because a =y
if the point Lie on y
Can somebody help ill give you brainliest!!! and 20 points
Answers
Answer:
Genotype: 100% rr
phenotype: 100% white
Step-by-step explanation:
since there are no dominant genes the cross will definitely be a rr genotype