Answer:
(C)
Step-by-step explanation:
looking from the slope: f'(2) is negative
f(2)=0
the curve concave upward: f''(2) is positive
f'(2)<0
f(2)=0
0<f''(2)
f'(2)<0<f''(2)
The expression which is true n the graph of a twice differential function is f' (2) < 0 < f'' (2) so, option C is correct.
What is a differential function?A function that has a derivative at each point in its domain is referred to as a differentiable function of one real variable in mathematics. In other words, each interior point in the domain of a differentiable function's graph has a non-vertical tangent line.
Given:
The coordinate of the graph is shown in figure (2, 0),
As we can see from the graph, the slope: f' (2) is negative (Downwards)
Again, from the graph
f(2) = 0
Thus, the curve concave upward: f'' (2) is positive (upward)
f' (2)<0
f (2)=0
0 < f'' (2)
f' (2) < 0 < f'' (2)
Therefore, f' (2) < 0 < f'' (2) is true in the given graph.
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i need help with this geo problem
Answer:
x = 24.15
Step-by-step explanation:
Hello!
We are given 3 things in this diagram:
Hypotenuse is 32One angle measure is 41°Side Adjacent to 41° is xWe need to use a trigonometric ratio that involves the hypotenuse and a side adjacent to an angle. The ratio would be \(cos\), which is the ratio \(\frac{Adjacent}{Hypotenuse}\).
Solve for x\(cos(41\°) = \frac{x}{32}\)\(32*cos(41\°) = x\) => Plugin the right side of the equation into a calculator to find xThe value of x is approximately 24.15, rounded to the nearest hundredth.
Find the height of the tower using the information given in the illustration.
using SOH CAH TOA
Tan 85.144 =h/130
h=tan 85.144*130
h=1530.19 fr
Evaluate the limit, if it exists, or show that the limit does not exist. (a) lim (x,y)→(0,0) 5x + y √ 5x + y + 9 − 3 (b) lim (x,y)→(0,0) 2xy x 2 + y 2
Answer:
Step-by-step explanation:
GIven that :
(a) lim (x,y)→(0,0) 5x + y √ 5x + y + 9 − 3
(b) lim (x,y)→(0,0) 2xy x 2 + y 2
We are to evaluate and determine if the limit exist or not.
From (a);
\(\lim \limits _{x \to y (0,0) } 5x + y \sqrt{5x} + y + 9 - 3\)
x = 0
y = 0 (Since no presence of indeterminate)
= \(} 5(0 )+ y \sqrt{5(0)} + (0) + 9 - 3\)
= 0+0+0 +9 - 3
= 6
Therefore; the limit exist
(b)
\(\lim \limits _{x \to y (0,0) } \dfrac{2xy}{x^2+y^2}\)
If y = mx
\(\lim \limits _{x \to y (0,0) } \dfrac{2(mx^2)}{x^2+(mx)^2}\)
\(\lim \limits _{x \to y (0,0) } \dfrac{2(mx^2)}{x^2+(m^2x^2)}\)
\(= \dfrac{2m }{1+m^2}\)
So; the limit depends on the value of m; then the limit does not exist
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
Step-by-step explanation:
The change in y over the change in x between points is the slope. 53-29 over 3-2 is the slope. 24/1 is 24. You need the equation in y=mc+b form. b is the y intercept. (0, -19) is the point from the table containing the y int.. b=-19. Plug 24 and -19 into mc+b. To get y=24x-19
can someone please help me
50 points
Answer:.
Step-by-step explanation im not sure
Answer:
Step-by-step explanation:
47.) sin20 = 6/b
b = 6(sin20) = 17.5
c = √6²+17.5² = 18.5
48.) tan61 = y/18
y = 18(tan61) = 32.5
z = √18²+32.5² = 37.1
49.) r = √25²+23² = 34
50). d = √30²+7² = 30.8
51.) sin71 = j/19
j = 19(sin71) = 18
k = √19²-18² = 6.2
52.) y = √4²-1² = √7 = 2.6
53.) sin49 = f/26
f = 26(sin49) = 19.6
h = √26²-19.6² = 17
54.) t = √7²+4² = 8.1
Consider the following data on x = weight (pounds) and y = price ($) for 10 road-racing bikes.
Brand Weight Price ($)
A 17.8 2,100
B 16.1 6,250
C 14.9 8,370
D 15.9 6,200
E 17.2 4,000
F 13.1 8,500
G 16.2 6,000
H 17.1 2,580
I 17.6 3,500
J 14.1 8,000
Required:
Use the F test to determine whether the weight for a bike and the price are related at the 0.05 level.
Answer:
There is a significant relation between weight and price
Step-by-step explanation:
Brand Weight(x) Price ($) (y)
A 17.8 2100
B 16.1 6,250
C 14.9 8,370
D 15.9 6,200
E 17.2 4,000
F 13.1 8,500
G 16.2 6,000
H 17.1 2,580
I 17.6 3,500
J 14.1 8,000
Null Hypothesis : \(H_0: \mu =0\)
Alternate Hypothesis : \(H_a: \mu \neq 0\)
Given : SST=51956800 SSE= 7312286.84 n = 10
SSR = SST-SSE
SSR=51956800-7312286.84
SSR=44644513.16
Level of significance =\(\alpha = 0.05\)
\(F=\frac{\frac{SSR}{m}}{\frac{SSE}{n-k}}\)
Where m = no. of restrictions
k = No. of independent variables
\(F=\frac{\frac{44644513.16}{1}}{\frac{ 7312286.84}{10-2}}\)
F=48.843
Degree of freedom 1 = 1
Degree of freedom 2 = 10-2=8
Using calculator
p-value is .000114.
p value < α
So, we reject the null hypothesis .
Hence There is a significant relation between weight and price
Find Matrix mixed questions
The only matrix that is certainly symmetric is a)\((a^2 - b^2).\)
We know that a matrix A is symmetric if it is equal to its transpose, that is \(A = A^T.\)
a) \((a^2 - b^2)\)
We can write the transpose of this matrix as
\((a^2 - b^2)^T = (a^2)^T - (b^2)^T = a^2 - b^2\), which is equal to the original matrix. Therefore, this matrix is symmetric.
b) (A+B)(A-B)
Expanding this expression, we get \((A+B)(A-B) = A^2 - AB + BA - B^2.\)
Taking the transpose of this, we get \((A^2)^T - (AB)^T + (BA)^T - (B^2)^T = A^2 - BA + AB - B^2.\)
Since AB and BA may not be equal, we cannot say for certain that this matrix is symmetric.
c) ABA
Taking the transpose of this matrix, we get\((ABA)^T = A^T B^T A^T\). Since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.
d) ABAB
Taking the transpose of this matrix, we get \((ABAB)^T = B^T A^T B^T A^T\). Again, since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.
Therefore, the only matrix that is certainly symmetric is a) \((a^2 - b^2).\)
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For each graphically defined function below, state the domain, the range, and the intervals over which the function is increasing, decreasing, or constant.
The domain of the function above is [-2, 3].
The range of the function above is [-2.5, 2].
The intervals over which the function is increasing is [-2, 1.5] U [-2.5, 2].
The intervals over which the function is decreasing is [1.5, -2.5].
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.
Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.
By critically observing the graph of this rational expression (function) shown in the image attached below, we can reasonably and logically deduce the following domain and range:
Domain = [-2, 3] or -2 ≤ x ≤ 3.
Range = [-2.5, 2] or -2.5 ≤ y ≤ 2.
Additionally, the intervals over which the function is increases over the interval [-2, 1.5] and [-2.5, 2], while it decreases over the interval [1.5, -2.5].
In conclusion, the given function is not constant over any interval.
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The difference between the measures of two complementary angles is 88°. determine the measures of the two angles ?
The measures of the two complementary angles are 44° and 132°.
Given that the difference between the measures of two complementary angles of any given triangle is 88°, it means that one angle is 88° smaller than the other. To find the measures of the two angles, divide the sum of the difference by 2. That is given as, (88°/2) = 44°. One angle is given as 44°, and the other angle is equal to the sum of the two angles in a triangle, which is 180°, minus the first angle, which is 44°, which is equal to 136°.
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What is the meaning of "if \(\varphi (x)\) has no parameters \(p_{i}\) then the class C is definable"?
The meaning of the statement, "if the function has no parameters, then the class C is definable" is that if there are no parameters given then the class c can be defined with an empty set but if there are no parameters, then the class cannot be defined.
What is the meaning of the statement?The meaning of the above statement is that if no parameters are provided for this function, then the given class represented as c can be defined with an empty set that is enclosed in parameters.
Also, if the parameters are given then the class c is not defined.
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Let [r, s] denote the least common multiple of positive integers r and s. Find the number of ordered triples (a, b, c) of positive integers for which [a, b] = 1000, [b, c] = 2000, and [c, a] = 2000.
Let [r, s] denote the least common multiple of positive integers r and s. Find the number of ordered triples (a, b, c) of positive integers for which [a, b] = 1000, [b, c] = 2000, and [c, a] = 2000.
Solution 1
It's clear that we must have a = 2^j5^k, b = 2^m^6 and c = 2^p5^q for some nonnegative integers j, k, m, n, p, q. Dealing first with the powers of 2: from the given conditions, max(j, m)=3, max(m, p) = max(p, j) = 4. Thus we must have p = 4 and at least one of m, j equal to 3. This gives 7 possible triples (j,m,p): (0, 3, 4), (1, 3, 4), (2, 3, 4), (3, 3, 4), (3, 2, 4), (3, 1, 4) and (3, 0, 4).
Now, for the powers of 5: we have max (k, n) = max(n, q) = max(q, k) = 3. Thus, at least two of k, n, g must be equal to 3, and the other can take any value between 0 and 3. This gives us a total of 10 possible triples: (3, 3, 3) and three possibilities of each of the forms (3, 3, n), (3, n, 3) and (n, 3, 3).
Since the exponents of 2 and 5 must satisfy these conditions independently, we have a total of 7. 10= 70 possible valid triples.
Solution 2
1000=2³5³ and 2000= 2⁴5³. By looking at the prime factorization of 2000, c must have a factor of 2¹. If c has a factor of 53, then there are two cases: either (1) a or b = 5³2³, or (2) one of a and has a factor of 5³ and the other a factor of 2³. For case 1, the other number will be in the form of 2^x5^y, so there are 4 4 16 possible such numbers; since this can be either a orb there are a total of 2(16)-1=31 possibilities. For case 2, a and b are in the form of 2³5^x and 2^y5³, with a x<3 and y<3 (if they were equal to 3, it would overlap with case 1). Thus, there are 2(3-3)= 18 cases.
If c does not have a factor of 5³, then at least one of a and b must be 2³5³, and both must have a factor of 5³. Then, there are 4 solutions possible just considering a = 2353, and a total of 4.2-17 possibilities. Multiplying by three, as 0<=c<=2, there are 7.3 = 21.
Together, that makes 31 +18+21= 70 solutions for (a, b, c).
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Please help! its due today!!
Answer:
14
Step-by-step explanation:
a=1
b=2
d=2
c=10
K+L = 10¹+2² = 10+4 = 14
what is the area of the square if it’s 15 by 15
Answer:
225 is the answer
15 times 15
Step-by-step explanation:
help will mark brainiest
Answer:
I'm pretty sure the rides are 140 yards away from restrooms.
Step-by-step explanation:
Both triangles are similar, and since the first triangle both have 112 yards on the sides, you can only assume that the second triangle would be similar too, but instead being 112 yards, it would be 140 yards.
Hope this helped!
The equation y=0.24x+1.20 can be used to predict the price of fuel oil per gallon,
where x is the number of years since 2002. According to the model, what will be the
price of fuel oil per gallon be in 2018?
Answer: $5.04
Step-by-step explanation:
1.) Start by subtracting 2002 from 2018. (2018-2002=16)
2.) plug into the equation ( y= 0.24(16)+1.20)
3.) plug into calculator and you should get 5.04
Answer:
5.04
Step-by-step explanation:
5.04
Using the dot plot, describe the members of the math club. A dot plot titled Ages of Math Club Members from 9 to 13. 9 has 1 dot, 10 has 0 dots, 11 has 1 dot, 12 has 2 dots, and 13 has 4 dots.
In the math club, there are 9 people.
How do you define frequency distribution?Tables according to frequency distribution are created from the acquired data. Test scores, local weather data, volleyball match outcomes, student grades, etc. might all be included in the material. After data collection, information must be presented in a meaningful way to be understood. Showed a drastic that has been graphically represented using a relative frequency chart is a different mechanism.
Dot plots are used to create the frequency distribution below:
Age 9 = 2
Age 10 = 0
Age 11 = 1
Age 12 = 2
Age 13 = 4
So, there are nine members in the math club overall.
The math club has nine members as a result.
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If z = 4.0 and y = 5.6, what is the value of x? z=y/x Express your answer to the tenths place (i.e., one digit after the decimal point).
Answer:
x=1.4
Step-by-step explanation:
Write the equation
\(\frac{5.6}{x} =4\)
Multiply both sides by x
\(5.6=4x\)
Divide both sides by 4
\(1.4=x\)
Hope this helps! Plz award Brainliest : )
The value of x is 1.4 when z = 4.0 and y = 5.6.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculations.
+ Addition operation: Adds values on either side of the operator.
For example 12 + 2 = 14
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 12 -2 = 10
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
Given the equation as:
z = y/x
z = 4.0 and y = 5.6
To determine the value of x
⇒ z = y/x
Multiply by x on both sides
⇒ xz = y
Substitute the values z = 4.0 and y = 5.6
⇒ x(4) =(5.6)
Divide both sides by 4
⇒ x = (5.6)/(4)
⇒ x = 1.4
Hence, the value of x is 1.4 when z = 4.0 and y = 5.6.
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A factory that produces toy wheels finds that they must discard 3 out of 100 wheels because they are defective. How many wheels would they expect to discard everyday if the factory produces 1200 wheels per hour in each 8 hr day.
they expect to discard everyday 288.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, given that,
they must discard 3 out of 100 wheels because they are defective.
the factory produces 1200 wheels per hour in each 8 hr day.
total per day = 9600
so, they expect to discard everyday =9600 * 3%
=288
hence, they expect to discard everyday 288.
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let C be the curve y=5sqrtx for 1.1
We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
We have,
To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:
S = ∫(a to b) 2πy√(1 + (f'(x))²) dx
In this case,
f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).
Let's calculate the surface area:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx
Simplifying the expression inside the integral:
S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx
Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
To find the surface area of revolution about the x-axis of the function
f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx
Let's calculate the integral:
S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx
To simplify the calculation, let's simplify the expression inside the integral first:
S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx
Next, we can distribute the square root and simplify further:
S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx
Thus,
We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
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100 Points! Geometry question. Identify the similar triangles. Then find each measure. Photo attached. Please show as much work as possible. Thank you!
The similar triangles for this problem are given as follows:
RST and VUT.
Then the measure VT is given as follows:
VT = 5.4 units.
What are similar triangles?Similar triangles are triangles that share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.Hence the similar triangles for this problem are given as follows:
RST and VUT.
The proportional relationship for the side lengths is given as follows:
6/14 = (x + 2)/(4x - 1).
Applying cross multiplication, the value of x is obtained as follows:
14(x + 2) = 6(4x - 1)
14x + 28 = 24x - 6
10x = 3.4
x = 3.4.
Then the length VT is given as follows:
VT = 3.4 + 2
VT = 5.4 units.
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Which is required for sexual reproduction?
Answer:
2 parents are required
Step-by-step explanation:
Answer:
semen.............
The ratio of boys to girls in homeroom is 2:3. If there are 8 boys, how many girls are there? Do not include units.
Answer:
12 girls
Step-by-step explanation:
boys girls
2:3
8 ÷ 2 = 4
4 × 3 = 12
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3 1/6-2 7/8 what is the snswer
Answer:
7/24
Step-by-step explanation:
Hope this helps.
Julie needs to cut 4 pieces of yarn, each with the same length, and a piece of yarn 7.75 inches long. let x represent the length of each of the equal pieces of yarn that julie decides to cut. what is the equation that can be used to determine the total length of all the yarn that she ends up cutting, y? is the graph of the equation continuous or discrete?
Answer:
The answer is below
Step-by-step explanation:
Let x represent the length of each of the equal piece of yarn. Since they are 4 equal pieces of yarn, then the total length of the equal pieces of yarn = 4x.
Also, besides cutting the 4 equal pieces of yarn Julie further cuts a yarn 7.75 inches long, therefore if y represent the total length of all the yarn that she ends up cutting, hence:
y = 4x + 7.75
Since the graph produced by this equation have all points connected to each other, hence this is a continuous graph.
7 to 2 = __to 6 help plz
Answer:
19 would be the naswer
Step-by-step explanation:
PLS HELP THIS IS THE REST OF MY POINTS
(−2) × (+5)=
(−4) x (−3)=
Answer:
-10
+12
Step-by-step explanation:
-2 * +5 = -10
-4 * -3 = +12
Answer:
(-2) x (5) = -10
When multiplying by a negative and a positive the answer will be negative
(-4) x (-3) = 12
When you are multiplying by two negatives: The negatives cancel making it a positive
find the value of 11 (a + b) when a = 7 and b = 3. (a) 110
(b)77
(c) 11,000
(d) 44
Answer:
(a) 110
Step-by-step explanation:
We can plug in 7 for a and 3 for b. Then we can simplify
11(a + b)
11(3 + 7)
11(10)
110
Thus, the value of 11(a + b) when a = 7 and b = 3 is 110, or answer a
Select the correct answer.
What is the best way to describe a theme of this poem?
A.
The main purpose of having New Year's resolutions is to make people feel bad.
B.
The failures of the past should inspire people to accomplish more in the future.
OC.
By the end of the year, it is too late to make any changes to a person's life.
D.
People would accomplish their New Year's resolutions if they wrote them down.
B.The failures of the past should inspire people to accomplish more in the future.
The students of a certain college were asked to choose which of six movie genres was their favorite. The pie chart below shows the distribution of the students’ answers. If there are 18,500 students at the college, how many chose Drama , Other, or Comedy ?
Answer:
12950
Step-by-step explanation:
comedy : 20% => 20 × 18500 ÷ 100 = 3700
drama : 23% => 23 × 18500 ÷ 100 = 4255
other : 27% => 27 × 18500 ÷ 100 = 4995
all together: (20 + 23 + 27) × 18500 ÷ 100 = 3700+4255+4995 = 12950
The solution is 12950.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
from the given graph, we get,
comedy : 20%
=> 20 × 18500 ÷ 100
= 3700
drama : 23%
=> 23 × 18500 ÷ 100
= 4255
other : 27%
=> 27 × 18500 ÷ 100
= 4995
so, we get,
all together: (20 + 23 + 27) × 18500 ÷ 100
= 3700+4255+4995
= 12950.
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what is the variance of the following set of data? 5 ,55 , 505, 255, 5, 75 , 85, 65
Answer:
27964.286
Step-by-step explanation:
i just used calculator soup
Answer:
28,912
Step-by-step explanation:
i also used calculator soup but gave the right answer