Answer:
the answer to the question is
Step-by-step explanation:
43/50
Answer: the answer is 43/50
Estimate the slope of the tangent line (rate of change) to f(x) = ² at x = -1 by finding the slopes of
the secant lines through the points:
a. (-2,4) and (0,0)
secant slope, msec=
b. (-1.5, 2.25) and (-0.5, 0.25)
secant slope, msec=
a. The secant slope through (-2,4) and (0,0) is -2.
b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.
The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.
To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.
a. (-2,4) and (0,0):
The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:
msec = (y2 - y1) / (x2 - x1)
Plugging in the values, we get:
msec = (0 - 4) / (0 - (-2))
= -4 / 2
= -2
So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.
b. (-1.5, 2.25) and (-0.5, 0.25):
The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:
msec = (0.25 - 2.25) / (-0.5 - (-1.5))
= (-2) / (1)
= -2
So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.
By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.
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A 34 oz bottle of a new soda costs $3.63. What is the unit rate, rounded to the nearest tenth of a cent?
3.63/34= 0.1067647058823...
that means each oz of soda is 10.7 cents
Is the ordered pair
(8, 3)
a solution to the equation 2x + y = 14?
Answer:
35.7t
Step-by-step explanation:
i took the quiz so i now its rhit at least i think
If Isabella has 1809 and Leah takes 27 how many will Isabella have left
1809/27=
Answer:
1809/27=67 is your answer........
A truck is carrying 4 cars weighing an average of 5,000 pounds each.
what is the total weight in ton of the cars on the truck
Answer:
10 tons
Step-by-step explanation:
5000 pounds x 4 = 20000 pounds
20000 pounds is the total weight in pounds of the cars on the truck.
Now we just have to convert the weight in pounds to tons.
1 pound = 0.0005 ton
20000 x (0.0005) = 10
Original price of an SUV: $34,400.00
Discount: 25%
Step-by-step explanation:
Step 1- convert 25% into a decimal
Step 2- Multiply 34,400.00 x 0.25
Which should give you $8600.00
Step 3- Then subtract 34,400.00 from 8600.00
Which will give you $25800.0
The The thing to remember is Multiply with the discount then subtract your answer from the original price of the item.
Hope This Helps !!
Among all pairs of numbers whose sum is 24, find a pair whose product is as large as possible. Show the work(the steps)! Write an equation of the corresponding quadratic function. How parabola opens? What is the maximum product? Does this function has a maximum value or the minimum value? Explain. Graph the function and upload the image.
The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.
To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.
Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.
To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:
P(x) = x(24 - x)
This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.
The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.
To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.
Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.
So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.
Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.
To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]
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Can someone help with this please?
Answer:
n=5 and it's output is -13
Step-by-step explanation:
By inspection, the inputs increase by +1 and the outputs decrease by 2
Thus ,n=4+1=5 and it's output is -11-2=-13
The diagonal of a monitor that is 5 inches wide and 12 inches
Answer:
I'm not sure if you forgot to add the rest of the question, but does this help?
Step-by-step explanation:
If you are using the pythagorean theorem you would a^2 + b^2 = c^2. 5 = 25, 12 = 144.
:)
The only way to enter Marvin’s Magic Museum is by telling Marvin a number he likes. Marvin likes the number 14, but does not like 15. He likes the number 21, but not the number 26. He likes the number 35, but not the number 39. Which of the following numbers will get you into the museum?
Telling Marvin the number 18 should get us into the museum.
What is division ?Division is a mathematical operation that involves splitting a quantity into equal parts or groups. It is the inverse of multiplication, and is used to find out how many times one number is contained within another number.
According to given information:To get into Marvin's Magic Museum, we need to figure out which number Marvin likes based on the given information.
Marvin likes the number 14, but not 15. This suggests that he likes even numbers, since 14 is even and 15 is odd.
Marvin likes the number 21, but not 26. This suggests that he likes numbers that are divisible by 3, since 21 is divisible by 3 and 26 is not.
Marvin likes the number 35, but not 39. This suggests that he likes numbers that are not divisible by 4, since 35 is not divisible by 4 and 39 is.
Putting these clues together, we can see that the number Marvin likes must be even, divisible by 3, and not divisible by 4. The only number in the list that meets these criteria is 18, since it is even, divisible by 3 (6 times), and not divisible by 4.
Therefore, telling Marvin the number 18 should get us into the museum.
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Find x in the diagram below
The value of the angle x is 30 degrees
How to determine the valueTo determine the value of the variable x, we need to know the triangle sum theorem.
The triangle sum theorem is a theorem in mathematics stating that the sum total of the interior angles in a triangle is equivalent to 180 degrees.
We should also note that angle at right angle is 90 degrees
Then, we have the angles written as;
90 degrees
2x degrees
x degrees
Equate the angles , we have;
2x + x + 90 = 180
collect the like terms, we have;
2x + x = 180 - 90
add or subtract the like terms, we have;
3x = 90
divide by the coefficient
x = 30
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a bag contains 4 red marbles, 6 green marbles, and 8 yellow marbles. Find each probability for randomly removing marbles with replacement. Removing a yellow marble two times and then a red marble.
The probability for randomly removing marbles with replacement is 0.044
How to determine the probability for randomly removing marbles with replacement?The given parameters are:
Red = 4
Green = 6
Yellow = 8
This means that
Total = 18
The probability for randomly removing marbles with replacement is represented as:
P = P(Yellow) * P(Yellow) * P(Red)
So, we have
P = 8/18 * 8/18 * 4/18
Simplify
P = 4/9 * 4/9 * 2/9
Evaluate
P = 0.044
Hence, the probability for randomly removing marbles with replacement is 0.044
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If 6 out of 30 people over the age 100 are male, how many are female
Answer:
24
Step-by-step explanation:
Please help. I’ll mark you as brainliest if correct!
Answer:
product = 40
Step-by-step explanation:
The conjugate of (-2 + 6i) is (-2 - 6i)
You just need to change the sign
(-2 + 6i) (-2 - 6i)
Expand:
4 + 12i + -12i - \(36i^{2}\)
4 + 12i + -12i + 36
product = 40
Determine the sum of (8x1 – x + 4) and (3x + 5)
Answer:
x = 1/9
Step-by-step explanation:
8x¹ - x +4 can be also written as 7x + 4 or 7x = -4
And 3x + 5 can be written as 3x = -5
So,
7x = -4
-(3x = -5)
4x = 1
x = 1/9
Please help meee!!!!!!!
Answer:
1) two spaces are being added per figure. 2)203
Step-by-step explanation:
Answer:
1. Two tiles add per figure, one on each side.
2. The hundredth figure would have 201, because if you want to find the answer to any figure you multiply by two and add one
Step-by-step explanation:
Which measure is equivalent to 1.5 kg?
15 g
150 g
1500 g
15,000 g
Answer:
1500
Step-by-step explanation:
i did the test
Helpppppppppppppppppp please
The rules of operations states that we deal with parentheses first. So, inside the parentheses, we have, 2 times 3. Multiply that. That gives us 6. So now, the equation looks like this:
(6)^2 + 5^2
Now we have to work with the exponents. So, square both numbers.
(6)^2 = 36
5^2 = 25
Now we have:
36 + 25
Now we add. 36 + 25 = 61
61 is your answer.
The function f(x)=4^x-6 is transformed to function G through a vertical compression by a factor of 1/2. Complete the equation of function G .  enter the correct answer in the box. Substitute  numerical values into the equation for a and k.
g(x) = a(4)^x-k
The equation for the transformed function g(x) is: g(x) = 2.323 (4) raise to the power x-0.872/2
How to solve a function?
If the function f(x) is vertically compressed by a factor of 1/2, the equation for the new function g(x) is given by:
g(x) = a(4) raise to the power x-k/2
where "a" and "k" are constants that need to be determined. To find these constants, we can use the fact that the original function f(x) is equal to g(x) when the compression is applied:
f(x) = g(x)/2
Substituting the expression for g(x) into this equation and simplifying, we get:
4raise to the power x - 6 = a(4)raise to the power x-k/2
To solve for "a" and "k", we need to find two equations involving these variables. One way to do this is to evaluate the expression for f(x) at two different values of x, and then set those equal to the corresponding values of g(x)/2. For example, we can choose x = 0 and x = 1:
f(0) = 4 - 6 = -5
f(1) = 4- 6 = -2
Using the equation g(x)/2 = f(x), we can write:
g(0)/2 = -5
g(1)/2 = -2
Substituting the expression for g(x) into these equations, we get:
a(4) raise to the power -k/2 = -10
a(4) raise to the power 1-k/2 = -4
Taking the ratio of these two equations, we can eliminate the variable "a" and solve for "k":
(4)raise to the power -k/2 / (4) raise to the power 1-k/2 = -10 / -4
Simplifying this equation, we get:
4.raise to the power(1-k/2) = 5
Taking the logarithm of both sides (with base 4), we get:
1-k/2 = log4(5)
Solving for "k", we get:
k = 2 - 2 log4(5)
Substituting this value of "k" back into one of the equations we derived earlier, we can solve for "a":
a = -10 / (4) raise to the power -k/2
Substituting the numerical value of "k", we get:
k = 2 - 2 log4(5) ≈ 0.872
a = -10 / (4) raise ti the power -k/2 ≈ 2.323
Therefore, the equation for the transformed function g(x) is:
g(x) = 2.323 (4)raise to the power x-0.872/2
or equivalently:
g(x) = 1.1615 (4) raise to the power -x0.872
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Answer:
g(x) = 1/2 (4)^x - 3
Step-by-step explanation:
A vertical compression by a factor of 1/2
means that the entire function f is multiplied by 1/2:
1/2 f (x) = 1/2 (4^x - 6)
= 1/2 (4)^x - 3
Use Right Triangle Trigonometry to solve for the value of x and y. Round your answer to the nearest TENTH.
We will have the following:
\(\begin{gathered} \frac{7}{sin(90)}=\frac{y}{sin(36)}\Rightarrow y=\frac{7sin(36)}{sin(90)} \\ \\ \Rightarrow y=4.114496766...\Rightarrow y\approx4.1 \end{gathered}\)So, the measure of "y" is approximately 4.1.
Now, we determine the value of x:
\(\begin{gathered} x=\sqrt{7^2-4.1^2}\Rightarrow x=5.673623181... \\ \\ \Rightarrow x\approx5.7 \end{gathered}\)So, the measure of "x" is approximately 5.7.
-5 1/4 -(-7 1/2) simplify
really fast pleas
4 (-x+4) =12 solve for x
Thank you! Any help Is appreciated!
Answer:
X=4
Step-by-step explanation:
distribute the 4 to the ones in the parenthesis
-4x+28=12
move the 28 over and change the sign
-4x=-16
divide by -4
x=4
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
13 yd
?
9 yd
11 yd
6 yd
4 yd
Answer: 5 yards
Step-by-step explanation:
1. Look at the vertical parts of the drawing from right to left
2. Notice that the longest vertical part is 11 yards
3. Notice that the other labels vertical part is 6 yards
4. Notice that the third vertical part, the one with the ? is 11 yds - 6 yds since the two shorter vertical parts would make a line as long as the longest vertical part of they were put together. Since this is the case the missing part is 11 yds-6 yds = 5 yds.
Find the missing number so that the the equation has no solutions
-4(-x - 1) + _x = 2x + 19
Answer: -2
Step-by-step explanation:
The coefficients of x on both sides have to be the same, while the constant terms must be different.
Let the unknown constant be a. Then,
\(-4(-x-1)+ax=2x+19\\\\4x+4+ax+2x=19\\\\\implies 4+a=2\\\\\therefore a=-2\)
100 divided by 72,144
Answer:0.00138611665
Step-by-step explanation:
Make a frequency table using five classes.
class 31-38 39-46 47-54 55-62 63-70
f
11
24
15
7
3
Then estimate the mean and sample standard deviation using the frequency table. (Round s to two decimal places.)
Answer: C
Step-by-step explanation:
What type of counting problem is this?
Johnny is a very picky eater, so he likes to use a lot of condiments. He has ketchup, salt, pepper, and shredded cheese at his disposal. His mother tells him he may only make two additions to his meal (i.e., he can add condiments only twice, regardless of whether or not he already used them). How many different ways can Johnny improve his meal?
A.Combination with repetition
B.Combination without repetition
C.Permutation with repetition
D.Permutation without repetition
Answer:
option A
Step-by-step explanation:
Permutation is An arrangement of objects in an ORDER
but combination is the opposite.
In this question, There is a combination! I hope this helped! have a great day!I'LL GIVE BRAINLIEST;
You deposit $400 each month into an account earning 5% annual interest compounded monthly.
a) How much will you have in the account in 20 years?
b) How much total money will you put into the account?
c) How much total interest will you earn?
Answer:
amount in 30 yrs is: $1787.0977
interest is for 20 yrs: $1387.0977
Step-by-step explanation:
Given data
principal amount = $400
rate = 5 % = 0.05
time period = 20 years
(Sorry if I'm wrong :( )
4 There are between 20 and 50 flags.
They can be shared equally among
2 tents or 4 tents or 5 tents.
How many flags are there?
When there are between 20 and 50 flags and they can be shared equally among 2 tents or 4 tents or 5 tents. The number of flags will be 40.
How to illustrate the information?From the information, there are between 20 and 50 flags and they can be shared equally among 2 tents or 4 tents or 5 tents.
It should be noted that this simply means that we should find the highest multiple for 2, 4, and 5 between 20 and 50. This is 40.
Therefore, the number of flags is 40.
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any firms use on-the-job training to teach their employees computer programming. Supposeyou work in the personnel department of a firm that just finished training a group of its employeesto program, and you have been requested to review the performance of one of the trainees on thefinal test that was given to all trainees. The mean and standard deviation of the test scores are 70and 3, respectively, and the distribution of scores is mound-shaped and symmetric. Suppose thetrainee in question received a score of 60. Compute the trainee's z-score.
Answer:
-3.33
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
x = 60, μ = 70, σ = 3
z = 60 - 70/3
z = -10/3
z = - 3.3333333333
Approximately, the students z score = -3.33