Pls help me !! its due when we go to lunch..

The equation 7x² - 5x + 7y² + z² = 3 in the cylindrical coordinate system is 7r² - 5r cos θ + z² = 3.

In the cylindrical coordinate system, cylindrical dimensions are ordered triples that describe the location of a point.

The equation is given below.

7x² - 5x + 7y² + z² = 3

The conversion of the cartesian coordinate to the cylindrical coordinate system.

x = r cosθ

y = r sinθ

z = z

Then put these values in the equation. Then we have

\(\begin{aligned} 7(r \cos \theta)^2-5(r \cos \theta) + 7(r \sin \theta)^2 + z^2 &=3\\\\7r^2 \cos ^2\theta-5r \cos \theta + 7r^2 \sin ^2\theta + z^2 &=3\\\\7r^2 (\sin ^2\theta + \cos ^2\theta ) - 5r \cos \theta + z^2 &= 3\\\\7r^2 - 5r \cos \theta + z^2 &= 3 \end{aligned}\)

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Answer:

x < 1

Step-by-step explanation:

2(x-7)<-12

Divide by 2

2(x-7)/2<-12/2

x-7 < -6

Add 7 to each side

x-7+7 < -6+7

x < 1

10% of individuals from a cross between a heterozygous tall individual and a homozygous recessive individual will be tall.

The two alleles present at a gene locus segregate from one another during gamete production, according to Mendel's first law of segregation, and each gamete has a 50% chance of harboring any one of the two alleles.

In meiotic drive genes, the alleles can become absorbed into considerably more than 50% of the gametes if they are present in a heterozygous state, which is against the law of segregation.

Here,

90% of the gametes from a heterozygous individual with tall and short alleles contain short alleles.

If tall dominates short, then 10% of individuals from a cross between a heterozygous tall individual and a homozygous recessive individual will be tall.

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Answer:

\(\sqrt{2} or (1/2)\)

Step-by-step explanation:

The domain of H is D={4,2,2}

The range of H is , R={3,1,4}

A function is a relationship between two different sets of information. The elements of the relations are represented in ordered pairs.

In the given graph,

The points are given as H={(4,3),(2,1),(2,4)}

In relation between two sets the inputs are the domain and the outputs are the range.

Let D be the set of domain

D={4,2,2}

Let R be the set of range in H.

R={3,1,4}.

Hence,  D={4,2,2} ,R={3,1,4}.

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2) Formula needed to solve:

Difference of two square formula: (a+b)(a-b) = a² - b²

3) Find Products:

a)                             [solve them using the diff of two square formula]

b)

c)

4)

Another example: (x+10)(x-10)

5)

Type of math, not in this set: (2x +3)(2x+6)

We Have to solve it Using Foil Method: (a+b)(c+d) = ac + ad + bc + bd

\(\int\limits^a_b {3tan^{5}(x) } \, dx\), with the appropriate use of absolute values and the constant of integration represented as 'C', is equal to (-3/4) ln|sec²(x)| - (3/2) tan³(x) + C.

To evaluate the integral ∫3 tan⁵(x) dx, we can use integration techniques and trigonometric identities. First, we can rewrite tan⁵(x) as \((tan^{2}(x)) ^{2}\) * tan(x). The integral of tan²(x) can be found by using the identity sec²(x) - 1 = tan²(x). Rearranging this identity, we get tan²(x) = sec²(x) - 1. Substituting this back into the original expression, we have ∫3 [\((sec^{2}(x)-1) ^{2}\)* tan(x)] dx.

Next, we can expand the expression \((sec^{2}(x)-1) ^{2}\)using the binomial theorem, which gives us sec⁴(x) - 2sec²(x) + 1. The integral becomes ∫3 [sec⁴(x) - 2sec²(x) + 1] tan(x) dx. Using the power rule for integration, we can find the integral of each term individually.

The integral of sec⁴(x) tan(x) dx can be evaluated by substituting u = sec(x) and using the fact that du = sec(x) tan(x) dx. This simplifies the integral to ∫3 u⁴ du, which can be easily integrated as (u⁵/5) + C.

Similarly, the integral of sec²(x) tan(x) dx can be evaluated by substituting v = sec(x) and using du = sec(x) tan(x) dx. This simplifies the integral to ∫3 v² dv, which can be integrated as (v³/3) + C.

Lastly, the integral of tan(x) dx is simply ln|sec(x)| + C.

Combining the results, we have (-3/4) ln|sec²(x)| - (3/2) tan³(x) + C as the final answer, where C represents the constant of integration.

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The point e. x = 5, y = 0 satisfies the two linear constraints simultaneously. We have two linear constraints which are given as;

2x + 5y ≤ 10 (Equation 1)

10x + 6y ≤ 42 (Equation 2)

We need to find the point which satisfies both equations. Let us plug in the values one by one to check which one satisfies the two equations simultaneously.

a. x= 6, y = 2

In Equation 1:2x + 5y = 2(6) + 5(2) = 17

In Equation 2:10x + 6y = 10(6) + 6(2) = 66

Thus, this point does not satisfy equations 1 and 2 simultaneously.

b. x=6, y=4

In Equation 1:2x + 5y = 2(6) + 5(4) = 28

In Equation 2:10x + 6y = 10(6) + 6(4) = 72

Thus, this point does not satisfy equations 1 and 2 simultaneously.

c. x=2, y = 1

In Equation 1:2x + 5y = 2(2) + 5(1) = 9

In Equation 2:10x + 6y = 10(2) + 6(1) = 26

Thus, this point does not satisfy equations 1 and 2 simultaneously.

d. x=2, y = 6

In Equation 1:2x + 5y = 2(2) + 5(6) = 32

In Equation 2:10x + 6y = 10(2) + 6(6) = 52

Thus, this point does not satisfy equations 1 and 2 simultaneously.

e. x = 5, y = 0

In Equation 1:2x + 5y = 2(5) + 5(0) = 10

In Equation 2:10x + 6y = 10(5) + 6(0) = 50

Thus, this point satisfies both equations simultaneously.

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Given picture is not a graph of inequality y < 6x + 1

In this question, we have been given a graph.

We need to determine whether the picture is a graph for the inequality y < 6x + 1 or not.

We know that the graph of equation y = 6x + 1 is a straight line and we represent a straight line graph by a solid line.

This graph represents a shaded region below dotted line. This means, this is the graph of inequality.

From this graph we can see that x-intercept of the equation is (2, 0) and y-intercept is (0, - 4)

If we find the x and y-intercept of y = 6x + 1 then it would be,

x - intercept = (-1/6 , 0)

y - intercept = (0, 1)

This means, given picture is not a graph of inequality y < 6x + 1

Therefore, given picture is not a graph of inequality y < 6x + 1

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Step-by-step explanation:

using the formula or so there a²+ b²= c²

so 18² + 80²= 82²

Answer:

Since I do not know the context of the question I will list answers I think it could be based on what you asked:

1. 3.72 x 0.6 = 2.232

2. 3.72 ÷ 0.6 = 6.2

3. 3.72% of 0.6 = 0.02232

The answer is probably the first one. I can't give a definite solution without knowing the exact question being asked, sorry!

The next two terms in this arithmetic progression is 7.60 and 7.61.

An arithmetic prοgressiοn (AP) is a sequence where the differences between every twο cοnsecutive terms are the same. Fοr example, the sequence 2, 6, 10, 14, … is an arithmetic prοgressiοn (AP) because it fοllοws a pattern where each number is οbtained by adding 4 tο the previοus term. A real-life example οf an AP is the sequence fοrmed by the annual incοme οf an emplοyee whοse incοme increases by a fixed amοunt οf $5000 every year.

We know the Arithmetic progression formula:

\(\rm a_{n}=a_{1}+(n-1)d\)

\(\rm a_n\) = the nᵗʰ term in the sequence

\(\rm a_1\) = the first term in the sequence

d = the common difference between terms

Here 4 terms are given

5th and 6th terms are to be found,

Thus,

a₁ = 9.56

d = (9.56 -9.57) = 0.01

n = 5

Then

5th term is :

aₙ = a₁ + (n - 1)d

aₙ = 9.56 + (5 - 1)0.01

aₙ = 9.56 + (4)0.01

aₙ = 9.56 + 0.04

aₙ = 7.60

6th term is :

aₙ = a₁ + (n - 1)d

aₙ = 9.56 + (6 - 1)0.01

aₙ = 9.56 + (6)0.01

aₙ = 9.56 + 0.05

aₙ = 7.61

Thus, The next two terms in this arithmetic progression is 7.60 and 7.61.

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A key requirement for the process of testing hypotheses in the scientific method is experimentation. A hypothesis is an idea or explanation for a phenomenon that is grounded in existing knowledge or observations, and the scientific method involves testing those hypotheses through experimentation.

The process of testing hypotheses requires the development of a testable hypothesis, the design of experiments to test the hypothesis, and the collection and analysis of data from those experiments to evaluate the hypothesis. The experiments must be designed carefully, with appropriate controls and variables to ensure that the results are reliable and valid. Scientists also need to communicate their findings to the scientific community, which involves publishing their results in scientific journals and presenting their work at conferences.

This helps to ensure that other scientists can replicate their experiments and validate their findings, which is a critical part of the scientific process. Ultimately, the process of testing hypotheses is essential for advancing scientific knowledge and understanding how the world works.

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Answer: The larger number is 11

Step-by-step explanation: You would want to start with the given which is 7 more than another and 63 being the ending number. So first you would want to subtract 7 from 63 (63-7=56), now you would have to figure out how to evaluate 56 out into 3 parts of a number and 4 parts of a larger number. That number would be 4, 4x3=12 subtract 12 from 56 (56-12=44), then you are left to divide 44 by 4, which gets you 11. Once you are finished with your math you would check that this is correct by seeing if the number split in 4 is larger than the number split in 3. As you can see 11 is a lot larger number than 4 is.

The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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Answer:

1. Mai was moving faster as she covered a greater distance in the same amount of time.

Speed = Distance

               -----------

                Time

2. The best deal is Store Z. We must divide to determine the price each business is charging for a single can in order to particularly choose the greatest deal.

For Store X, each can is $0.62

For Store Y, each can is $0.60

Store Z is the best deal due to how cheap each can of juice costs.

3 (Part 1) It costs $1,200 for each square foot. The cost of the apartment is $540,000 & the area of the apartment is 450 feet. You can divide 540,000 by 450 and you should get 1,200.

3 (Part 2) The home costs $231,000. You can use the two numbers in the question "2,100" and "110". You should get $231,000 after adding those two numbers.

4. Approximately 3.8 liters are in a gallon. 3.8 is closest to 4 so you can round it up to 4 liters.

Step-by-step explanation:

a) The given statement is true b) The given statement is true c) The given statement is false d) The given statement is true e) The given statement is true f) The given statement is true.

(a) True. If a set S is linearly dependent, it means that there exists at least one element in S that can be expressed as a linear combination of the other elements in S.

(b) True. Any set that contains the zero vector is linearly dependent because the zero vector itself can be expressed as a linear combination of its elements (in this case, just the zero vector itself multiplied by the scalar 1).

(c) False. The empty set is considered linearly independent by convention. Since it contains no elements, there are no vectors to form a nontrivial linear combination, and thus it is vacuously linearly independent.

(d) True. If a set S is linearly dependent, then any subset of S will also be linearly dependent. This is because if a set of vectors can be expressed as a linear combination of other vectors, removing some vectors from that set will not change its linear dependence.

(e) True. Subsets of linearly independent sets are also linearly independent. If a set is linearly independent, it means that no vector in the set can be expressed as a linear combination of the other vectors. Therefore, any subset of this set will still retain the property of linear independence.

(f) True. If the equation a1x1 + a2x2 + ... + anxn = 0 holds, where x1, x2, ..., xn are linearly independent, then the only solution is when all the scalars ai are zero. This follows from the definition of linear independence, which states that a set of vectors is linearly independent if the only solution to the equation c1v1 + c2v2 + ... + cnvn = 0 is when all the scalars ci are zero.

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Answer:

6 ( or any number that isn't a common multiple of 5 and 6 ) you should probably double-check just in case.

Step-by-step explanation:

Question = 6x - 8 < 5x +21

so we know that the product of 6x must be divisible by 6 and 5x must be devisable by 5.  so the first factor of 6 is 6 so:

(6 x 6) - 8 < (5 x 6) + 21

36 - 8 < 30 + 21

28 < 51

so x = 6

Honestly, any number would work because 6x is obviously more than 5x, but since for 6x you subtracting 8 and for 5x you adding 21 the answer will always be 6x - 8 < 5x + 21. Unless you use a common multiple of 6 and 5 as your x because then six times that number will always be more than 5 times that number. So for example 30 is a common multiple of 6 and 5 so:

(6 x 30) - 8 is more than (5 x 30) + 21

180 - 8 is more than 150 + 21

172 is more than 171

hope that helps  : )

Representing the problem using mathematical equation, the inequality which represents the scenario is n < 29

Let the number be represented as n :

6n - 8 < 5n + 21

We can then solve for n

6n - 5n < 21 + 8

n < 29

Therefore, the inequality expression which represents the possible values of n for which the expression is true is n < 29

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Answer:

Slope = m = 2.50

Y-intercept = b = 2.50

Step-by-step explanation:

Given equation is:

\(y=2.50x+2.50\)

Comparing it with slope-intercept form of equation \(y = mx+b\), where m is slope and b is y-intercept, we get:

Slope = m = 2.50

Y-intercept = b = 2.50

\(\rule[225]{225}{2}\)

Hope this helped!

The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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Answer:

The total change in the number of bushels she has for sale after 5 days is 83.125 bushels

Step-by-step explanation:

The given parameters are;

The initial number pf bushels the farmer has = 120 bushels

The amount of bushels of wheat the farmer sells each day = 16⁵/₈ = 16.625

The number of bushels sold after 5 days = 16.625 × 5 = 83.125 bushels

The total change in the number of bushels she has for sale after 5 days = The number of bushels sold after 5 days

The total change in the number of bushels she has for sale after 5 days = 83.125 bushels.

Answer:

(0, 2)

Step-by-step explanation:

The solution to the system based on the graph is (0, 2)

Reason: Lines are intersecting at point (0, 2) which satisfy the given equations.

Answer: 17 cm

Step-by-step explanation:

For a regular figure where the area of the base is B, and the height is H, the volume is calculated as:

V = B*H

Here we know that the base of the prism is B = 3 cm^2, and the volume of the prism is 51 cm^3

Then:

B = 3cm^2

V = 51cm^3

If we replace those in the equation above, we get:

51 cm^3 = (3cm^2)*H

Solving this for H gives:

(51 cm^3)/(3 cm^2) = H = 17 cm

The height of the tubing is 17 cm

Answer:

10

Step-by-step explanation:

The median is the number in the middle when they are in order

-6, -4, 4, 5, 7, 10, 11, 12, 13, 16, 20

Answer:

They made 7 pies

Step-by-step explanation:

2 x 5 = 10

45 - 10 = 35

35 divided by 5 = 7  

Hopefully this helps you :)

pls mark brainlest ;)

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it is false

Answer:

44460 times more probably

Step-by-step explanation:

by diving those two numbers

Answer:

the answer is D

Step-by-step explanation:

have a good day!

Answer:

\(t = 2.86 \: s\)

The ball remains in the air for 2.86 seconds.

Step-by-step explanation:

A baseball is hit into the air, and its height above the ground is described by the function

\(H(t) = -16t^2 + 45t + 2\)

Where H(t) represents the height of the ball t seconds after it is hit.

The ball remains in the air before it hits the ground.

When the ball hits the ground,

\(H(t) = 0\)

So,

\(0 = -16t^2 + 45t + 2\)

The equation may be solved using the quadratic formula.

\($t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$\)

Where

\(a = -16 \\\\b = 45 \\\\c = 2 \\\\\)

So,

\(t=\frac{-(45)\pm\sqrt{(45)^2-4(-16)(2)}}{2(-16)} \\\\t=\frac{-45\pm\sqrt{(2025 - (-128)}}{-32} \\\\t=\frac{-45\pm\sqrt{(2153}}{-32} \\\\t=\frac{-45\pm 46.4004}{-32} \\\\t=\frac{-45 + 46.4004}{-32} \: and \: t=\frac{-45 - 46.4004}{-32}\\\\t= -0.04 \: and \: t = 2.86 \\\\\)

Since the time cannot be negative, discard the negative value and accept the positive value

\(t = 2.86 \: s\)

Therefore, the ball remains in the air for 2.86 seconds.

Answer:

24 sq. in

Step-by-step explanation:

your formula is A=h(b/2)

h=8

b=2

A=?

A=8(6/2)

A=8(3)

A=24

The sorted array after applying the PARTITION algorithm using the first element (5) as the pivot.

To illustrate the operation of the PARTITION algorithm on the given array {5, 1, 2, 7, 9, 3, 7, 8, 4}, we'll follow the steps of the algorithm and show the array at each step.

1: Choose the first element, 5, as the pivot.

{5, 1, 2, 7, 9, 3, 7, 8, 4}

2: Reorder the array so that all elements smaller than the pivot (5) come before it, and all elements larger than the pivot come after it. This is done by swapping elements.

{4, 1, 2, 3, 5, 9, 7, 8, 7}

3: The pivot is now in its final sorted position. Divide the array into two subarrays, one to the left of the pivot (elements smaller than the pivot) and one to the right of the pivot (elements larger than the pivot).

Left subarray: {4, 1, 2, 3}

Right subarray: {9, 7, 8, 7}

4: Recursively apply the PARTITION algorithm to the left and right subarrays.

For the left subarray:

Choose the first element, 4, as the pivot.

{4, 1, 2, 3}

Reorder the array:

{3, 1, 2, 4}

The left subarray is now sorted.

For the right subarray:

Choose the first element, 9, as the pivot.

{9, 7, 8, 7}

Reorder the array:

{7, 7, 8, 9}

The right subarray is now sorted.

5: The entire array is now sorted.

{3, 1, 2, 4, 5, 7, 7, 8, 9}

This is the final sorted array after applying the PARTITION algorithm using the first element (5) as the pivot.

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