Answer: A 2,2
Step-by-step explanation: 1 - 1 something
Alison's age is 10 more than half of Sam's age. Using S to represent Sam's age, write an expression that represents Alison's age.
a) 1/2(S+10)
b) 10-1/2S
c) S+1/2(10)
d)1/2S+10
Answer:
D
Step-by-step explanation:
Let's pretend to use 6 as Sam's age.
Six divided by two is three, plus ten is 13.
Now let's work it backwards.
"half of Sam's age"
S/2
"Alison's age is 10 more"
+10
Put these together and it's S/2+10.
Please only answer if u actually know pls!
At a price of $3, the total revenue will be the greatest, and the company will sell 3 units at that price.
To find the total revenue at each price, we can multiply the price by the corresponding quantity.
Price Quantity Total Revenue
$6 0 $0
$5 1 $5
$4 2 $8
$3 3 $9
$2 4 $8
$1 5 $5
To find the price at which total revenue is the greatest, we look for the highest value in the Total Revenue column.
In this case, the highest total revenue is $9, which occurs when the price is $3.
At a price of $3, the company will sell 3 units (as indicated in the Quantity column).
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Can anyone help me with this problem
9514 1404 393
Answer:
(a) increasing: (-∞, 0) ∪ (0, 1); decreasing: (1, ∞)
(b) maximum: (1, e^-3). No minimum.
Step-by-step explanation:
The derivative of the function is ...
f'(x) = 3x^2(1 -x)e^(-3x)
This is zero at x=0, and positive elsewhere for values of x < 1. That is, ...
the function is increasing for x < 1, except at x=0.
For x > 1, the derivative is negative, so ...
the function is decreasing for x > 1.
___
The derivative is zero at x=0 and x=1, so these are critical points. The point at x=0 is a flat spot, or point of inflection, as the derivative does not change sign there. The point at x=1 is a local/global maximum, as the derivative changes from positive (function increasing) to negative (function decreasing) at that point.
The function value at the maximum is f(1) = e^-3.
Under which conditions would the limit as x approaches 7 not exist? Check all that apply.
°the graph decreases without bound as x approaches 7 from the right.
°the graph has a vertical asymptote at x=7
°there is a hole in the graph at x=7
°f(7) does not exist
°lim f(x) ≠ lim f(x)
x->7- x->7+
(I've done this assigment so here are all the answers.)
Answer :
Q1. f'(x)=-20x+4. When x=11, this is f'(11)=-20×11+4=-220+4=-216.
Q2. Lim(x➝4) of x²+3x-1. The expression can be evaluated by direct substitution without constraints: 16+12-1=27.
Q3. The derivative is 7 for all values of x because the function is linear with a constant slope.
Q4. The function is piecewise. We need the conditions that apply when x is close to zero. We need to look at x approaching from the negative side and the positive side. If the limits are not the same the limit does not exist. So, when x<0 we use 7-x². When x is just less than zero, this left-hand limit is 7. When x>0 we use 10x+7. When x is just bigger than zero, this right-hand limit is 7. We are not interested in x=0, we are only interested in the left- and right-hand limits, which happen to be the same. So the limit is 7.
Q5. f'(x)=-3/x². f'(1)=-3.
Q6. In all limit questions, you can always ignore what happens when x=limit, because it’s the approaches that matter. So x➝2⁻ means look at the graph on the left of the limit. The horizontal line at y=4 means the left limit is 4. x➝2⁺ means look at the graph on the right of the limit. This is where y=-3, so the right limit is -3. The answer is 4 and -3 for left and right limits respectively.
Q7. First find left and right limits: x➝-1⁻: use x<-1: f(x)=x+1, so left limit is 0; x➝-1⁺: use x>-1: f(x)=1-x: so right limit is 1-(-1)=2. The left and right limits are different, so the limit does not exist.
Q8. 1/(x-7). When x=7, this quantity is not defined and this is a vertical asymptote. When x➝7⁻ we can use a value of x slightly less than 7 and see what happens. First try x=6.99, then 1/(x-7)=-100. Now try x=6.999, then we get -1000. So it’s getting larger in magnitude, and it’s negative. An infinitely large negative value is -∞. So the limit as x approaches 7 from the left is -∞.
Q9. Ignore the closed point at (3,7). For x➝3⁻, we are on the sloping line, so the limit is 1.5.
Q10. As x approaches zero the numerator approaches 1. The denominator gets smaller so its reciprocal gets larger, and it can be positive or negative depending on how we approach zero. So we can’t define the limit, so it doesn’t exist.
Q11. Derivative is -(-3/x²)=3/x². When x=-4, this is 3/16, because (-4)²=16.
Q12. x²-2➝-2 when x➝0.
Q13. (x²-16)/(x-4)=(x-4)(x+4)/(x-4)➝x+4 because the common factor x-4 cancels. Note that the quantity does not exist at precisely x=4 but in the limit it approaches x+4=8 when x=4. So the answer is 8 for the limit.
Q14. The derivative is constant -13 and is independent of t, so the instantaneous velocity is -13.
Q15. 1/(x-2)² is always positive, so it doesn’t matter whether we look at the left or right limits. The result as x➝2 is ∞, which is an undefinable quantity. x=2 is a vertical asymptote.
Answer:
1,2, & 5
Step-by-step explanation:
edge 2021
19) Write in Ascending Order
7613 m , 7.6 km , 7.59km ____________________
7.6 km,7.59 km, 7613 m
O 7613 m , 7.59 km , 7.6 km
O 7.59 km , 7.6 km, 7613 m
Value of x in this solution
Answer:
Y = 6
Step-by-step explanation:
25 Point Math Question Image Attached
X = hypotenuse x sin(angle)
Rewriting this with the given information:
Sin(26) = x/10
The answer is B.
Answer:
answer is B
Step-by-step explanation:
just got it right
Solve the proportion. 3/4=m/6
Answer:
9/2=m
Step-by-step explanation:
3/4=m/6
m/6×3/4
18/4m
9=2m
m=9/2
Hi can any one teach me this constant difference
The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).
How do you find the constant difference in a sequence of numbers?In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.
Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.
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Kelly rolled scores of 254, 202, 284, 269, 151, 258 and 202 in a recent tournament. What was the mean, median and mode of her scores?
Answer:
See below!
Step-by-step explanation:
Data:254, 202, 284, 269, 151, 258, 202
Mean:The sum of data divided by the number of data is called mean.Mean of the data:
\(\displaystyle Mean= \frac{Sum \ of \ data}{number \ of \ data} \\\\Mean = \frac{254+202+284+269+151+258+202}{7} \\\\Mean=\frac{1620}{7} \\\\\boxed{Mean = 231.4}\)
Median:The middle value of the data is median.Median of data:
Arrange the data in increasing order.
151, 202, 202, 254, 258, 269, 284
The middle value = 254
So,
Median = 254Mode:The frequently occurring value in the data is known as mode.Mode in data:
The mode, here, is 202. (occurring 2 times.)
So,
Mode = 2\(\rule[225]{225}{2}\)
What graph would best display the data shown in the frequency table?
A. line plot
B. vertex-edge graph
C. histogram
D. stem-and-leaf graph
Answer:
histogram
Step-by-step explanation:
Which description best matches the image?
A.Most of the time, you should drive in this lane position.
B.The operating space of the blue car is closed because the driver's line of sight is restricted.
C.This is the best lane position when approaching a hill or a curve.
D.This depicts the size of the driver's central or straight-ahead vision.
Answer:
B.The operating space of the blue car is closed because the driver's line of sight is restricted.
Step-by-step explanation:
it is not the best lane because lanes depend on which direction you are going so neither a nor c were correct and the driver's straight-ahead vision is not at this angle for there is a car roof and the driver can't see it like this as if you were above the cars this perspective is from above and also not a central vision
9x and 3x whats the value of x
Answer:
3x3=9 9x3=27
Step-by-step explanation:
Answer: x = 15
Step-by-step explanation:
All angles add up to 180.
9x + 3x = 180
12x = 180
x = 15
I am pretty sure this is correct. Hope this helped.
1 of 12
Eli is following this recipe to bake bread rolls.
He uses 500 g of flour.
How much of the other ingredients does he use?
Recipe: Makes 12 bread rolls
400 g flour
6 g salt
8 g yeast
40 mL oil
360 ml water
?g salt
?g yeast
?mL oil
?mL water
Answer:
8
Step-by-step explanation:
Give the domain, range, continuous, and the x values of discontinuity
We have
For the domain are all the possible values of x that the function can use as we can see the domain are all the number from minus infinity to infinity except -3
\(-\inftyFor the range are all the possible values of the function in other words all the possible values in the y-axes we can see it is
\(1we have different intervals of continuty
\(-\inftyand we have two discontinuities one in -3 and the other one in 3 it can see it in the graph as the unfilled circles.x=-3
x=3
Hello, can someone help me with this please, I have to watch the video and then answer the questions below.
1. How can having children act out number operations stories help their conceptual understanding?
2. What are your thoughts about the way these teachers put the emphasis on helping children see change in terms of more or fewer/less rather than having them count on to find the exact total?
3. Several of the children in the video are English Language Learners; what evidence do you see that they understand the Big Ideas though they don't articulate them in words?
Select the values that make the inequality -q> -7 true. Then write an equivalent inequality, in terms of q. (Numbers written in order from least to greatest going across.)
The inequality relation -q > -7 can be represented in the form of q as q < 7
The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be A
The value of A is - q > - 7
Now , multiplying by (-1) on both sides of the equation , we get
( -1 ) ( -q ) > ( -1 ) ( - 7 )
The inequality relation will change the sign from > to < and ,
q < 7
So , the value of the inequality relation A is q < 7
Now , all the values in the number line which satisfy the inequality equation q < 7 are given in set A
The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }
Hence , The inequality relation -q > -7 can be represented in the form of q as q < 7 and numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }
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Identify next three numbers in this sequence: 2, 6, 3, 9, 6, 18, 15…
Answer:
10000000000000000000000,
the next number: 1-934028049747284
that's all
pls report
thanks!))))
Step-by-step explanation:
which sequence of transformations will carry triangle ABC onto triangle A'B'C'?
Answer:
B
Step-by-step explanation:
start at A and got to A'
In order to get to to A' you need to count how many blocks down and how many blocks left or right. Repeat
Sketch the curve represented by the parametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter. x = et, y = e3t + 4
The graph of the function x = \(e^t\), y = \(e^{3t} +4\) has been shown
The rectangular equation is \(y = x^3+4\)
What is graph of a function?
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
Graph of a function f(x) is the collection of all points of the form (x, f(x))
x = \(e^t\), y = \(e^{3t} +4\)
\(x^3 = e^{3t}\)
So the required curve in rectangular equation is
\(y = x^3+4\)
The graph has been given
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Find the domain and range of the following functions:
1. f(x) = 4x-3
2. G(x) = | 1-2x |
3. f(x) = x²-2x+1 / x-1
The domain and range of the functions, Domain includes all possible inputs and range includes all possible outputs , are-
1. f(x) = 4x-3
Domain - all real numbers or
Range - all real numbers
2. G(x) = | 1-2x |
Domain- all real numbers
Range - All real numbers≥ 0
3. f(x) = x²-2x+1 / x-1
this can be simplified as ( x-1)²/(x-1) = x-1
Domain - all real numbers
Range- all real numbers
4. f(x) = {x-1 if x<3,
2x+1 if x ≥3 }
Domain - all real numbers
Range - All real numbers
5. y = \(\sqrt{4-x}\)
Domain - All real numbers <4
Range - all real numbers ≥0
Mathematical functions are analogous to vending (soda) machine operations. When you put in a certain amount of money, you can choose from a variety of sodas. Similarly, when we use functions, we enter different numbers and get new numbers as a result. The primary characteristics of functions are domain and range. A soda can be purchased with quarters or one-dollar bills. If you put in pennies, the machine will not give you any soda flavor. As a result, the domain represents the inputs available here, which are quarters and one-dollar bills. A cheeseburger will not be served from a soda machine, no matter how much you pay. Thus, the range represents the possible outputs we can have here, i.e., the
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MAKES
Find the volume of the circular cylinder.
3. Circular Cylinder
5 mm
2 mm
The volume of the circular cylinder be,
⇒ 62.8 mm³
Given that,
For a circular cylinder,
Height = 5 mm
Radius = 2 mm
Then we have to find the volume of this circular cylinder
Since we know that,
The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.
This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.
volume of circular cylinder = πr²h
Here we have,
r = 2 mm
h = 5 mm
Now put the values into the formula we get,
Volume = π x 2² x 5
= 62.8 mm³
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In which quadrant of the coordinate plane is the point (−7,−212) located?
1. Quadrant I
2. Quadrant II
3. Quadrant III
4. Quadrant IV
Answer:
Quadrant 3
Step-by-step explanation:
Find x if a = 13 and C = 47.
a in:
2 111.
Answer:
45 or two decimal points 45.167.
Step-by-step explanation:
So you're using the Pythagorean theorem which is a^2 + b^2 = c^2... so if you dont have b you can manipulate the equation. That equation is c^2 - a^2= b^2, so you square 47 which is 2209 and then square 13 which is 169... you do 2209-169 and that equals 2040, then you do the square root of that which is 45.166359 that can be
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MariettaO [177] on https://answer.ya.guru/questions/5729132-find-x-if-a-13-and-c-47-need-help.html
i literally don’t understand any of this
According to the information, he quadratic function's equation is f(x) = (47/13)x^2 + (89/13)x + 198/13 in standard form.
How to find the quadratic function's equation?To find the quadratic function's equation, we need to use the given points from the table and solve for the coefficients a, b, and c in the standard form of a quadratic function, f(x) = ax^2 + bx + c.
Using the point (-7, 209):
209 = a(-7)^2 + b(-7) + c
Using the point (-5, 113):
113 = a(-5)^2 + b(-5) + c
Using the point (-2, 29):
29 = a(-2)^2 + b(-2) + c
Now we have three equations with three variables. We can solve for a, b, and c using a system of linear equations. First, simplify each equation:
49a - 7b + c = 209
25a - 5b + c = 113
4a - 2b + c = 29
Then, we can solve for b in terms of a and substitute in the other equations to eliminate b:
b = 7a + c/7 - 29/7
Substituting into the second equation:
25a - 5(7a + c/7 - 29/7) + c = 113
Simplifying:
10a + c = 80
Substituting into the third equation:
4a - 2(7a + c/7 - 29/7) + c = 29
Simplifying:
-3a + c = 33
Now we have two equations with two variables. We can solve for c in terms of a and substitute back into one of the previous equations to solve for a:
c = 3a + 33
Substituting into the second equation:
10a + (3a + 33) = 80
Simplifying:
13a = 47
a = 47/13
Now we can substitute a back into one of the previous equations to solve for c:
c = 3(47/13) + 33 = 198/13
Finally, we can substitute a and c into the standard form of a quadratic function:
f(x) = (47/13)x^2 + (7(47/13) - 198/13)x + 198/13
Simplifying:
f(x) = (47/13)x^2 + (89/13)x + 198/13
Therefore, the quadratic function's equation is f(x) = (47/13)x^2 + (89/13)x + 198/13 in standard form.
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Which angle is an alternate exterior angle to ∠8?
∠3
∠4
∠5
∠6
*20 POINTS!!!!!!!!!!!*
There is no alternate exterior angle corresponding to ∠8.
What are alternate exterior angles?Alternate Exterior Angles – Alternate exterior angles are the pair of angles on the outer side of the two parallel lines but on the opposite side of the transversal.
here, we have,
Given is a geometrical figure as shown in the image.
A pair of alternate exterior angles exist for a pair of parallel lines.
Hence, there is no alternate exterior angle corresponding to ∠8.
Therefore, there is no alternate exterior angle corresponding to ∠8.
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A bag contains seven red balls, five green balls, four yellow balls and two black balls. A ball is
picked at random from the bag. What is the probability that the ball will be red?
A .389
B..278
C..57
D.35
Answer:
a) .389
Step-by-step explanation:
The following sample was collected during registration at a large middle school. At the 0.05 level of significance, can it be concluded that level of math is dependent on grade level?
Honors Math Regular Math General Math
6th Grade 34 45 15
7th Grade 37 49 13
8th Grade 29 45 17
Hypotheses:
H0: Level of math is independent of/dependent on grade level.
H1: Level of math is independent of/dependent on grade level.
Enter the expected matrix - round to 4 decimal places.
Solution :
The expected matrix is :
\($E_i=\frac{(\text{row total } \times \text{column total})}{\text{grand total}}$\) Honors Regular General
6 th grade 33.0986 46.0070 14.8944
7 th grade 34.8592 48.4542 15.6866
8 th grade 32.0423 44.5387 14.4190
Thus we can say that the level of math is not dependent on the grade level.
Therefore, the provided information is correct. Test Stat = 1.4007, p-value = 0.844070419
\(H_0\) : The level of math is independent of the grade level.
\(H_1\) : The level of math is dependent on the grade level.
The sample mean, x , is a statistic.
True or False
Answer:
True
Step-by-step explanation:
The statistic is a numerical value which describes the characteristic of a particular sample data. The sample is a set of data which represents a smaller subset randomly selected from the population or a larger dataset.
The sample mean, refers to the mean or average value of a sample data, therefore, a sample mean is a numerical characteristic of the sample dataset and it is therefore a statistic. On the other hand, numerical characteristics of a population data is called the parameter.
What is (123
) ÷ (18
)?
Answer:
6.8333333333 or 41/6
Step-by-step explanation: