Answer:
Slope = -2, y-intercept = 12 (b)
Step-by-step explanation:
Using the slope formula:
slope = change in y (y2-y1) / change in x (x2-x1)
slope = (12-18)/(0+3)
slope = -6/3
slope = -2
The slope is -2
If you look in the table, when x=0, the y value equals 12. This means that the y-intercept = 12, since the y-intercept is when the x equals 0. Thus we have our answer.
a __________ is a vertical cylinder of rotating air that ranges from 3–10 km in diameter.
Answer: Mesocyclone
Step-by-step explanation:
Let f(x,y)=5exy and c(t)=(2t2,t3). Calculate (f∘c)′(t). Use the first special case of the chain rule for composition. (Write your final answer in terms of t. Use symbolic notation and fractions where needed.) Find the directional derivative of f(x,y,z)=2z2x+y3 at the point (1,2,2) in the direction of the vector 51i+52j. (Use symbolic notation and fractions where needed.) Find all second partial derivatives of the function f(x,y)=xy4+x5+y6 at the point x0=(2,3). ∂2f/∂x2= ∂2f/∂y2= ∂2f/∂y∂x=∂2f/ ∂y∂x= Calculate g(x,y), the second-order Taylor approximation to f(x,y)=15cos(x)sin(y) at the point (π,2π). (Use symbolic notation and fractions where needed.) Determine the global extreme values of the f(x,y)=7x−5y if y≥x−6,y≥−x−6,y≤6. (Use symbolic notation and fractions where needed.)
1. (f∘c)'(t) = 10t⁴ * \(e^{(2t^5)\)
2. The directional derivative of f at the point (1, 2, 2) in the direction of the vector (5/√26)i + (5/√13)j is (80√26 + 60√13)/(√26√13).
3. ∂²f/∂x² = 484, ∂²f/∂y² = 1098, ∂²f/∂x∂y = 324, ∂²f/∂y∂x = 324.
1. Calculating (f∘c)'(t) using the first special case of the chain rule:
Let's start by evaluating f∘c, which means plugging c(t) into f(x, y):
f∘c(t) = f(c(t)) = f(2t², t³) = 5\(e^{(2t^2 * t^3)\) = 5\(e^{(2t^5)\)
Now, we can differentiate f∘c(t) with respect to t using the chain rule:
(f∘c)'(t) = d/dt [5\(e^{(2t^5)\)]
Applying the chain rule, we get:
(f∘c)'(t) = 10t⁴ * \(e^{(2t^5)\)
Final Answer: (f∘c)'(t) = 10t⁴ * \(e^{(2t^5)\)
2. Finding the directional derivative of f(x, y, z) = 2z²x + y³ at the point (1, 2, 2) in the direction of the vector 5/√26 i + 5/√13 j:
The directional derivative of f in the direction of a unit vector u = ai + bj is given by the dot product of the gradient of f and u:
∇f = (∂f/∂x, ∂f/∂y, ∂f/∂z) is the gradient of f.
∇f = (2z², 3y², 4xz)
At the point (1, 2, 2), the gradient ∇f is (2(2²), 3(2²), 4(1)(2)) = (8, 12, 8).
The directional derivative is given by:
D_u f = ∇f · u = (8, 12, 8) · (5/√26, 5/√13)
D_u f = 8(5/√26) + 12(5/√13) + 8(5/√26) = (40/√26) + (60/√13) + (40/√26)
Simplifying and rationalizing the denominator:
D_u f = (40√26 + 60√13 + 40√26)/(√26√13) = (80√26 + 60√13)/(√26√13)
Final Answer: The directional derivative of f at the point (1, 2, 2) in the direction of the vector (5/√26)i + (5/√13)j is (80√26 + 60√13)/(√26√13).
3. Finding all second partial derivatives of the function f(x, y) = xy⁴ + x⁵ + y⁶ at the point (2, 3):
To find the second partial derivatives, we differentiate f twice with respect to each variable:
∂²f/∂x² = ∂/∂x (∂f/∂x) = ∂/∂x (4xy⁴ + 5x⁴) = 4y⁴ + 20x³
∂²f/∂y² = ∂/∂y (∂f/∂y) = ∂/∂y (4xy⁴ + 6y⁵) = 4x(4y³) + 6(5y⁴) = 16xy³ + 30y⁴
∂²f/∂x∂y = ∂/∂x (∂f/∂y) = ∂/∂x (4xy⁴ + 6y⁵) = 4y⁴
∂²f/∂y∂x = ∂/∂y (∂f/∂x) = ∂/∂y (4xy⁴ + 5x⁴) = 4y⁴
At the point (2, 3), substituting x = 2 and y = 3 into the derivatives:
∂²f/∂x² = 4(3⁴) + 20(2³) = 324 + 160 = 484
∂²f/∂y² = 16(2)(3³) + 30(3⁴) = 288 + 810 = 1098
∂²f/∂x∂y = 4(3⁴) = 324
∂²f/∂y∂x = 4(3⁴) = 324
Therefore, ∂²f/∂x² = 484, ∂²f/∂y² = 1098, ∂²f/∂x∂y = 324, ∂²f/∂y∂x = 324.
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1/3 bigger than 5/9?
Answer:
No 1/3 is not greater than 5/9.
Step-by-step explanation:
Parveen scored 18 out of 25 in a maths test. What percentage did she score
Answer:
72%
Step-by-step explanation:
Express her score as a fraction and multiply by 100% to make the percentage
\(\frac{18}{25}\) × 100% = 18 × 4% = 72%
Answer:
72%
Step-by-step explanation:
Total score of Parveen in her math test
= 18/25
Total percentage she scored in her math test
= (18/25×100)%
= (18×4)%
= 72%
Hence, Parveen scored 72% in her math test.
2. Mr. Rivera revealed that 70% of the students got an A on the vocabulary quiz in ELA this.
week. If there are 100 students in Mr. Riverds class, create a model that represente bo
many students got an A.
Answer:
143 to the nearest Whole #
Step-by-step explanation:
100/0.70=142.59
what is the value of x in the equation 6 (x + 11) = -300
Answer:
x=-61
Step-by-step explanation:
Answer:
-61
Step-by-step explanation:
6(x+11)=-300
6x+66=-300
6x=-366
x=-61
hope this is right
If the area of the rectangle to be drawn is 12 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle? (5 points) Group of answer choices C(−2, −2), D(1, −2) C(−2, −5), D(1, −5) C(−2, −1), D(1, −1) C(−2, −4), D(1, −4)
Note that if the area of the rectangle to be drawn is 12 square units, and if they lie vertically below the line that connects B and A, to make this rectangle, then the points C and D be located, at "(-2,-2), D(1,-2)" (Option A) See the attached image.
What is a rectangle?A rectangle is a quadrilateral with four right angles in Euclidean plane geometry.
It can alternatively be classified as an equiangular quadrilateral since all of its angles are equal; or a parallelogram with a right angle. A square is a rectangle with four equal-length sides.
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Please help me with this! Thank you so much!
Answer:
\( \dashrightarrow \: { \tt{( \frac{3}{4} - \frac{8}{11} ) \div \frac{1}{7} }} \\ \\ \dashrightarrow \: { \tt{ \frac{1}{44} \div \frac{1}{7} }} \\ \\ \dashrightarrow \: { \tt{ \frac{1}{44} \times 7}} \\ \\\dashrightarrow \: { \tt{ \frac{7}{44} }} \)
\(\large\underline{\bf{Given\: expression}}\)
\(\huge{( \frac{3}{4} - \frac{8}{11} ) \div \frac{1}{7}} \)
_____________________________________
\(\large\underline{\bf{On\: solving}}\)
\(\large{= \frac{(3 \times 11) - (8 \times 4)}{44} \div \frac{1}{7}} \)
\(\large{ =\frac{1}{44} \times \frac{1}{7}} \)
\(\large{ = \frac{7}{44}} \)
_____________________________________
\(\large\underline{\bf{Hence}}\)
\(\huge\bf\green{ = \frac{7}{44}} \)
please help I need help with this math problem if you help I'll give a total of 40 points make sure
make sure to explain with process
Answer: In what part do you need help with?
Step-by-step explanation:
Message me
Step-by-step explanation:
First problem:
D = 10 inches
f/number = 9
F = ?
if f=F÷D, F=f×D
so F=9×10=90
Second problem:
300 = C+273
-C= -300+273
C= 27
I WILL GIVE YOU BRAINLIEST Which of the following lines are parallel to Y = 1/4X - 3? A. 2Y = 1/3X + 2 B. 4Y = 4X + 3 C. 3Y = 3/4X + 6
Answer:
3Y=3/4X +6
Step-by-step explanation:
3Y=3/4X +6 is parallel to Y=1/4X-3
I need help with this maths question!
14 people gave the modal response
How many people gave the modal response?In a survey, modal response is the most frequently occurring response to a question. It can be used to identify the most important issues or concerns of a population.
You will notice the key says one circle represents 4 people. So half circle represents 2 people. Thus, we can say:
Swedish = 4 + 4 + 2 = 10
German = 4 + 4 = 8
French = 4 + 4 + 4 + 2 = 14
Since French has the highest number of people (i.e. 14 people). Therefore, 14 people gave the modal response.
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(-6, -6) and (-2,-2)
Using the slope formula above, find the slope of the line between two points
Answer:
1
Step-by-step explanation:
Come on man. Slope is easy. You got this.
how close to −2 do we have to take x so that the following is satisfied? (give the largest possible value.) 1 (x + 2)6 >
The largest value of x that satisfies the inequality is approximately -1.8639.
To find the largest possible value of x that satisfies the inequality 1/(x + 2)⁶ > 1,000,000, we can start by rearranging the inequality:
1/(x + 2)⁶ > 1,000,000
Taking the reciprocal of both sides:
(x + 2)⁶ < 1/1,000,000
Now, let's take the sixth root of both sides:
x + 2 < (1/1,000,000)\(}^{1/6\)
Calculating the right side:
x + 2 < 0.1361
Subtracting 2 from both sides:
x < 0.1361 - 2
x < -1.8639
Therefore, the largest value of x that satisfies the inequality is approximately -1.8639.
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Solve for x:
2x + y = -2
4x + y = -8
Answer:
x = -3
Step-by-step explanation:
2x + y = -2
4x + y = -8
2x + y = - 2
y = -2x - 2
4x + y = - 8
y = -4x - 8
y = -2x - 2
y = -4x - 8
-2x - 2 = -4x - 8
4x - 2x = 2 - 8
2x = -6
2x/2 = -6/2
x = -3
To check just use da graph ;w;
The x is -3
Answer:
Step-by-step explanation:
x= −1 −y/2
x= 4 −8−y/4
I’ll mark brainliest please help!
Answer:
4x + 2 = 30
Step-by-step explanation:
To find the perimeter of a triangle, add up the length of all three sides of the triangle.
Here, the sides of the triangle are "x+6", "x+6", and "2x-10". When you add up all three sides of the triangle, it should be equal to the perimeter, 30. So:
(x+6) + (x+6) + (2x-10) = 30
We can simplify this equation:
(2 * (x+6)) + (2x-10) = 30
2x + 12 + 2x - 10 = 30
4x + 2 = 30
Answer D: 4x + 2 = 30
What is the completely factored form of this polynomial? 7x4 14x3 − 168x2
The completely factored form of the polynomial is 7x² (x + 6) (x - 4)
Given,
The polynomial ; 7x⁴ + 14x³ - 168x²
We have to find the complete factored form of this polynomial;
Polynomial;
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
Here,
The polynomial is 7x⁴ + 14x³ - 168x²
Now,
Factorize the polynomial using common factors;
That is,
7x⁴ + 14x³ - 168x²
7x² (x² + 2x - 24)
Solve x² + 2x - 24 using quadratic formula;
That is,
\(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\) = \(\frac{-2(+-)\sqrt{2^{2} -4*1*-24} }{2*1}\) = \(\frac{-2(+-)\sqrt{4-96} }{2}\) = -2±√-92 / 2
Now,
Solve
-2 + √-92 / 2 = 3.79 ≈ 4
Solve
-2 - √-92 / 2 = -5.79 ≈ -6
Then,
The factors will be (x - 4) and (x + 6)
So,
7x² (x + 6) (x - 4) will be the factored form of the polynomial.
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If AABC is similar to ADEF, the sides of AABC must be congruent to the
corresponding sides of ADEF.
A. True
B. False
Option B. False is the answer. We can say it is False, using the Similarity of the triangle concept.
What is a Similar Triangle?
Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "." If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. The polygon with three sides is a triangle. In order for two triangles to be comparable, their corresponding sides must be in proportion to one another and their corresponding angles must be the same.
Properties of Similar Triangle:
1. Despite having the same form, each might have different sizes.
2. There are no matching angles that are not equal.
3. Similar equivalent side ratios exist.
Formula:
Two triangles are said to be similar if their respective sides are proportionate and their corresponding angles are congruent. As a result, using another triangle, we may determine the dimensions of one triangle. With the use of the formulae shown below, we can determine the pertinent angles and side lengths for triangles ABC and XYZ if they are two comparable triangles.
B = Y, C = Z, and A = X
BC/YZ = AC/XZ when AB/XY =
In the given question:
If triangle ABC is similar to DEF then for the similarity of these triangles all angles should be similar or the same.
In addition to the angles, their corresponding sides should be in the same ratio, in other words, the sides should be dilated by a scale factor.
Therefore the given statement is false.
Option B. False is the answer.
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ind numerical values for yπ = y(π) and y′π = y′(π) using the solution from part (a). then use dsolve to solve the ivp
The set of all two-letter strings can be thought of as an ordered pair of two letters, where each letter can be selected from the alphabet {a, b, ..., z}.
Since there are 26 letters in the alphabet, there are 26 choices for the first letter in the string. For the second letter, however, there are only 25 choices, since we cannot repeat the letter selected for the first position. Thus, the number of different two-letter strings is the product of the number of choices for each letter, which is 26 * 25 = 650.
This problem illustrates the concept of counting principles, specifically the product rule of counting. The product rule states that the total number of outcomes for a sequence of events is the product of the number of outcomes for each event. In this case, the two events are the selection of the first letter and the selection of the second letter. By applying the product rule, we can easily determine the total number of possible two-letter strings.
This type of problem is commonly encountered in combinatorics, which is the branch of mathematics concerned with counting and arranging objects. The ability to count and calculate the number of possible outcomes is important in many fields, including probability theory, statistics, and computer science.
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Enter the correct answer in the box. Write your answer in the form y = mx + b, using the appropriate inequality symbol in place of the equal sign.
helpp
The graph as an inequality expression is y < -2x - 3
Representing the graph as an inequalityFrom the question, we have the following parameters that can be used in our computation:
The graph of the inequality
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
c = -3 from the graph
The equation becomes
y = mx - 3
Using the other points, we have
-3m - 3 = 3
So, we have
-3m = 6
This gives
m = -2
Recall that
y = mx - 3
So, we have
y = -2x - 3
The bottom part is the shaded region
So, we have
y < -2x - 3
Hence, the graph as an inequality is y < -2x - 3
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Triangle PQR is formed by the three squares A, B, and C:
A right triangle PQR is shown. On the side PQ of this triangle is a square. Inside the square is written Square A, Area equal to 9 square units. On the side QR of this triangle is another square. Inside the square is written Square B, Area equal to 16 square units. On the side PR of this triangle is another square. Inside the square is written Square C, Area equal to 25 square units.
Which statement best explains the relationship between the sides of triangle PQR?
(PQ)2 + (QR)2 = (PR)2, because 9 + 16 = 25
PQ + QR = PR, because 9 + 16 = 25
(PQ)2 + (QR)2 = (PR)2, because 52 + 32 = 42
PQ + QR = PR, because 52 + 32 = 42
Answer: I believe A is the correct answer
Step-by-step explanation:
PETS Last month, Hao's dog ate 40 cans
of dog food in 31 days. How many cans
should Hao buy to feed his dog for the
next 6 days?
Answer:
8 cans
Step-by-step explanation:
Answer:
8 cans
Hope I helped
The measures of the angles of △RST are given by the expressions in the table
In the given angles, the values of R=31⁰, x=34⁰, m<S= 38⁰, m<Y = 111⁰
How to find angles of a triangles?We know that a triangle is a polygon whose sum of angles is equal to 180 degress , with three sides and three vertices.
The given angles are
31⁰, (x+4)⁰, (3x+9)⁰
The sum of angles of the triangle
31+x+4+3x+9=180⁰
44+4x=180⁰
Collecting like terms
4x=136
Dividing by 4
x=34⁰
Substituting the value of x=34 in the given angles we have
R= 31⁰, given
(x+4)⁰ = 34+4=38⁰, (3*34+9)⁰=111⁰
In conclusion the values of R= 31⁰, x=34⁰ , m<S=38⁰, m<T=111⁰
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Which measurements in centimeters represent the dimensions of a triangle that is similar to triangle qrs?.
The following dimensions indicate a similar triangle to triangle QRS ,10cm, 20cm, and 25cm.
In this question , we want a triangle that is similar to a triangle with the following dimensions,
s =m 6cm
q = 12 cm
r = 15 cm
As a result, all of these dimensions must be multiplied by the same scaling factor.
Then option B is right, because the length ratios are as follows,
10/6 = 20/12 = 25/15 = 5/3.
That is, all sides
A similar triangle is two triangles with the same angle measurements.
Because of the sine/cosine/tangent relations in a right triangle and the law of sines in non-right triangles, these triangles will also have proportional side lengths.
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Answer:
Step-by-step explanation:
The answer is, 10cm,20cm,25cm
PLS HELP!
I rlly need it done
Answer:
ML = 6
Step-by-step explanation:
Since HIJ is a scale drawing of KML, this means the IJ and ML are corresponding sides. The corresponding sides have proportional lengths, so from HJ ≅ LK you can learn that the scale factor is 20 / 5 = 4. likewise you can confirm this with HI ≅ MK is 36 / 9 = 4.
So ML is found by dividing JI by 4 = 24/4 = 6.
Can you please help with this question. Please please
Answer:
Step-by-step explanation:
5.2*9= 46.8
Do you want to know how to find the answer? :/
10 hour - 2 hours 25 minutes -3hours 35 minutes
Answer:
Step-by-step explanation:
10 hours - 2 hours 25 minutes - 3 hours 35 minutes
Lets just do this
2 hours 25 minutes + 3 hours 35 minutes
25 minutes + 35 minutes = 60 minutes
60 minutes = 1 hour
now we have 2 hours + 3 hours + 1 hour
2 + 3 +1 = 6
now we have 10 hours - 6 hours
10 - 6 is 4
4 hours.
use excel to find the critical value of z for each hypothesis test. (negative values should be indicated by a minus sign. round your answers to 3 decimal places.) (a) 2 percent level of significance, two-tailed test.
The critical value of z for each hypothesis test is 2.326
In this question, we are asked to use Excel to find the critical value of z for each hypothesis test. We are given a 2 percent level of significance for a two-tailed test. To find the critical value, we can use the NORM.S.INV function in Excel. The syntax for this function is =NORM.S.INV(probability).
We can enter the probability as 1 - (alpha / 2) for a two-tailed test, where alpha is the level of significance. We can then round the result to three decimal places.
To find the critical value for a 2 percent level of significance, two-tailed test, we can follow these steps:
Step 1: Calculate the value of alpha
Alpha = 2% = 0.02
Step 2: Calculate
1 - (alpha / 2)1 - (alpha / 2)
= 1 - (0.02 / 2)
= 0.99
Step 3: Use the NORM.S.INV function in Excel=NORM.S.INV(0.99)
This gives us a critical value of z = 2.326.
Therefore, the critical value of z for the hypothesis test with a 2 percent level of significance and a two-tailed test is 2.326.
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The population of ages at inauguration of all U.S. Presidents who had professions in the military isâ 62, 46,â 68, 64, 57. Why does it not make sense to construct a histogram for this dataâ set?
Answer is given below :
Step-by-step explanation:
Histograms are used in group frequency parameters. Furthermore, it is useless as a given set of five parameters or data and only results in a bar graph and, basically, the vertical graph mentioned above is the correct choice to display the numbers. It is used to expand on the definition of the histogram when the frequency is grouped. For example, data sets 1–5, 6–10, 11–15 and 16–20 can now be used to describe histograms due to the given number and size of data.You find that the test statistic value is 0.41. Based on your critical region, what decision do you make regarding the null hypothesis (i.e. do you Reject H0 or Do Not Reject H0)
If the test statistic value falls within the critical region, we reject the null hypothesis (H0) at the given significance level (α).
If the test statistic value falls outside the critical region, we do not reject the null hypothesis.
To determine the decision regarding the null hypothesis based on a test statistic value and a critical region, we need to compare the test statistic value to the critical value(s) of the test.
Since the question does not provide information about the significance level or the directionality of the test, we cannot determine the critical region or make a decision about the null hypothesis based on the test statistic value alone.
More information is needed to interpret the result of the test.
At the specified significance level (), we reject the null hypothesis (H0) if the test statistic value is inside the crucial zone.
If the test statistic result is outside of the acceptable range, the null hypothesis is not rejected.
The test statistic value to the test's critical value(s) in order to decide whether to reject the null hypothesis based on a test statistic value and a crucial area.
We cannot establish the crucial area or choose the null hypothesis based only on the test statistic value since the question does not specify the significance level or directionality of the test.
To understand the test's outcome, more details are required.
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Jose could win $17 for guessing the correct number of Jelly Beans in a fat. The estimates that there are 450 Jelly Beans in the far, give or take 50. La I represent the adual number of jelly beans,
Answer:
Step-by-step explanation:
475 517