Find the missing angle x.

a.540°
b. 377°
c. 121°
d. 163°

Step-by-step explanation:

1) keep the number having x^2 in one group.

keep the number having xy^2 in another group.

2) a. 7x^2. 5x^2

like this add/subtract every number.

3)2xy+3xy+4zz=5xy+4zz

like this add every number.

if you have any query please feel free to ask.

The equation in Standard Form. b) Identify P(x). c) Identify Q(x). d) Evaluate Integrating Factor. e) Solve for the general solution are given below:

a) Rewrite the equation in Standard Form:

To rewrite the equation in standard form, divide the entire equation by x⁴:

dy/dx + 2y = e^(-x)

b) Identify P(x):

In standard form, the coefficient of the y term is 2, which is the function P(x). So, P(x) = 2.

c) Identify Q(x):

In standard form, the right-hand side of the equation is e^(-x), which is the function Q(x). So, Q(x) = e^(-x).

d) Evaluate the Integrating Factor:

The integrating factor (IF) is given by the exponential of the integral of P(x) with respect to x. In this case, the integrating factor is:

IF = e^(∫P(x)dx) = e^(∫2dx) = e^(2x)

e) Solve for the general solution:

Multiply the entire equation by the integrating factor (IF = e^(2x)):

e^(2x) * (dy/dx + 2y) = e^(2x) * e^(-x)

Simplify the left side by applying the product rule of exponents:

(e^(2x) * dy/dx) + 2y * e^(2x) = e^(x)

Notice that the left side is now in the form (f(x)g(x))' = f'(x)g(x) + f(x)g'(x), where f(x) = y and g(x) = e^(2x). Apply the product rule and simplify further:

(d/dx)(y * e^(2x)) = e^(x)

Integrate both sides with respect to x:

∫(d/dx)(y * e^(2x)) dx = ∫e^(x) dx

Integrating the left side gives:

y * e^(2x) = ∫e^(x) dx = e^(x) + C₁, where C₁ is the constant of integration.

Finally, solve for y by dividing both sides by e^(2x):

y = (e^(x) + C₁) / e^(2x)

This is the general solution to the given differential equation using the Integrating Factor Method.

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The estimated frequency of recombination between the genes Hs and tp-1 is 46%.

Using chi-square, we can test to see if there is significant evidence of a link between the Hs and tp-1 genes.

Let's discuss the following groups:

The expected frequencies must be computed under the presumption of independent assortment. Assuming the qualities are unlinked, we would anticipate an equivalent dissemination of aggregates among the descendants.

We make use of the formula to determine the expected frequencies:

The expected frequency is equal to the grand total divided by the total of the rows and columns:

Hs tp-1 Expected frequency: (432 x 368) * (432 x 368 x 800) = 400

The expected frequency of hs Tp-1 is as follows: (432 + 368) * (432 + 368) / 800 = 400

We can et up the chi-square test as thus:

Chi-square =  [(observed frequency - expected frequency)2 / expected frequency] Chi-square = [(432 - 400)2 / 400] + [(368 - 400)2 / 400] = 9.6

We can determine the critical value of chi-square for a given significance level by employing a chi-square distribution table and taking into account the appropriate degrees of freedom (df = 1). The critical value is 3.841, with a significance level of 0.05.

Since the determined chi-square worth (9.6) is more noteworthy than the basic worth (3.841), we reject the invalid speculation of free combination. This suggests that there is a strong connection between the genes Hs and tp-1.

To gauge the recurrence of recombination, we can utilize the equation:

The number of recombinant progeny (plants with both or neither trait) is 368, and the total number of progeny is 800. Recombination frequency equals (Number of recombinant progeny / Total progeny) x 100.

Recombination frequency = (368 / 800) * 100).

Therefore, the estimated frequency of recombination between the genes Hs and tp-1 is 46%.

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Answer:

Fifteen and six hundredths

Step-by-step explanation:

Answer:

2y-3x=-42y−3x=−4

Step-by-step explanation:

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Yes, the diagonals of a parallelogram bisect each other as well as the angles they intersect. This means that each diagonal divides the parallelogram into two congruent triangles and each angle formed by the intersection of the diagonals is bisected into two equal angles.

The diagonals of a parallelogram have the following properties :

They bisect each other, meaning they divide each other into two equal parts.

They do not bisect the angles of the parallelogram, meaning they do not divide the angles into two equal parts, except in some special cases such as a rectangle or a rhombus.

They divide the parallelogram into two congruent triangles, meaning the triangles have equal sides and angles.

So, the answer to your question is no, the diagonals of a parallelogram do not bisect the angles in general. However, if the parallelogram is a rectangle or a rhombus, then the diagonals do bisect the angles

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Answer: Ricky: 1204, Pedro: 1481

Step-by-step explanation:

If Pedro hit 277 more base hits that Ricky, and together they hit 2685, then

2685=2x+277

2x=2408

x=1204

so Ricky hit 1204 base hits and Pedro hit 1481.

check: 1204+1481=2685

We can convert a parabola equation from standard form to vertex form. This is in the vertex form and has the formula y = a (x - h)2 + k. The vertex, in this case, is (h, k)=(-1,-6)

Standard Form

A parabola's standard form is: y = ax2 + bx + c

Here, a, b, and c are real numbers (constants), with a = 0. x and y are variables, with (x, y) representing a parabola point.

Vertex Form

A parabola's vertex form is: y = a (x - h)2 + k

Here, a, h, and k are real numbers, with a = 0. x and y are variables, with (x, y) representing a parabola point.

There is a "whole square" in the vertex form, y = a (x - h)2 + k. To convert from standard to vertex form, we simply need to complete the square. Aside from that, we have a formula method for doing this. Let us investigate both methods.

By Finishing the Square

Consider the following standard-form parabola: y = -3x2 - 6x - 9 and complete the square to get the vertex form. First, we must ensure that the x2 coefficient is 1. If the coefficient of x2 is NOT 1, the number will be placed outside as a common factor. We'll get: y = 3x2 6x 9 = 3 (x2 + 2x + 3).

Now, the coefficient of x2 is 1. Here are the steps to convert the above expression into the vertex form.

Determine the x coefficient. 3 (x2 + 2x + 3)

Divide it in half and square the result.

(2/2)^2 = 1^2 = 1

Y= -3(x2+2x+1-1 +3)

Using the appropriate identity, factor the perfect square trinomial formed by the first three terms.

We can use x2 + 2xy + y2 = (x + y) in this case.

x2 + 2x + 1 = (x + 1) in this case.

The preceding expression becomes:

Y= -3 (x2 + 2x + 1-1 +3)

Y= -3(x+1)^2 – 1 +3

The last two numbers should be simplified, and the outside number should be distributed.

Here, -1 + 3 = 2. As a result, the preceding expression becomes:

Y= -3(x+1)^2 + 2

Y = -3(x+1)^2 - 6

This is in the vertex form and has the formula y = a (x - h)2 + k. The vertex, in this case, is (h, k)=(-1,-6)

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Answer:

The solution is \(z = -2.853 - i 0.927\).

Step-by-step explanation:

Complex power is determined by means of the De Moivre's Theorem, whose expression is:

\(z^{n} = r^{n} \cdot (\cos n\theta + i \sin n\theta)\)

Where \(r\) is the norm of the complex number. In this case, expression can be written as:

\(-i 243 = 3^{5} \cdot (\cos 5\theta + i \sin 5\theta)\)

The real component must be equal to zero and complex component must be equal to -1. That is to say:

\(\cos 5\theta = 0\)

\(\sin 5\theta = -1\)

Possible solutions for each component are, respectively:

Real component

\(5\theta = \cos^{-1}0\)

\(5\theta = \frac{\pi}{2} \pm \pi\cdot j\), \(\forall j \in \mathbb{N}_{O}\)

\(\theta = \frac{\pi}{10} \pm \frac{\pi}{5} \cdot j\), \(\forall j \in \mathbb{N}_{O}\)

Possible solutions: \(\frac{11\pi}{10}\), \(\frac{13\pi}{10}\), \(\frac{3\pi}{2}\)

Complex component

\(5\theta = \sin^{-1}(-1)\)

\(5\theta = \frac{3\pi}{2} \pm 2\pi \cdot j\), \(\forall j \in \mathbb{N}_{O}\)

\(\theta = \frac{3\pi}{10} \pm \frac{2\pi}{5} \cdot j\), \(\forall j \in \mathbb{N}_{O}\)

Possible solutions: \(\frac{11\pi}{10}\), \(\frac{3\pi}{2}\)

There is one solution whose argument is strictly between 180 degrees (\(\pi\)) and 270 degrees (\(1.5\pi\)).

\(z = 3 \cdot \left( \cos \frac{11\pi}{10} + i \sin \frac{11\pi}{10} \right)\)

\(z = -2.853 - i 0.927\)

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Explanation:

We can pick any two rows from the table to get the (x,y) points needed to find the slope.

Let's say we pick the second and third rows

Subtract the y values: 14-6 = 8

Subtract the x values in the same order: 1-3 = -2

Divide the differences: 8/(-2) = -4

The slope is -4

--------------------------------------------------

You can use the slope formula

Let's say the points are (x1,y1) = (1,14) and (3,6)

m = (y2-y1)/(x2-x1)

m = (6-14)/(3-1)

m = -8/2

m = -4

It's the same basic idea as the previous section. You subtract the y values together (y2-y1) and the x values together (x2-x1) and divide the differences to get m. The order of subtraction doesn't matter as long as you stay consistent. If you do something like y2-y1 and x1-x2, then you'll get the wrong slope value.

When a mountain is cut off at 4,000 feet, a cone is created that has a radius that is half that of the original mountain.

This is because the radius and height of cones both change in an inverse manner as height increases. As a result, volume changes as the inverse cube of rising height (represented as a proportion of the cone's overall height):

The volume of the cone above water is \(1/8$\) the total volume of the cone (mountain). Since these cones are obviously comparable, the little cone's radius and height must equal

V1 × Height³= VN

1/8= Height³

Height=1/2

8000.1/2=4000= A

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The order for 50 chain saws will be shipped at the start of week 8.As the manager, I will ensure that the assembly of the 50 chain saws begins at the start of week 6 to meet the shipping deadline at the start of week 8.

To determine the shipping date, we need to consider the production time for assembling the chain saws. Assuming a standard production time of 2 weeks, we can calculate the start date for production.

Start date for production = Shipping date - Production time = Week 8 - 2 weeks = Week 6

Therefore, the assembly of the chain saws should start at the beginning of week 6 in order to meet the shipping deadline at the start of week 8.

As the manager, I will ensure that the assembly of the 50 chain saws begins at the start of week 6 to meet the shipping deadline at the start of week 8. This will ensure that the order is fulfilled on time and the customer's expectations are met.

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To find the joint probability distribution function f(u, v) of two random variables U and V, follow these steps:
1. Identify the support: Determine the range of values that the random variables U and V can take. The support is the set of all possible (u, v) pairs for which f(u, v) > 0.
2. Define the joint probability function: Using the support, create an equation that describes the probability of each (u, v) pair occurring. The equation should satisfy the conditions of a valid probability distribution function. That is, f(u, v) ≥ 0 for all (u, v) pairs in the support, and the sum (for discrete variables) or integral (for continuous variables) of f(u, v) over the entire support should be equal to 1.
3. Calculate probabilities: Use the defined joint probability distribution function f(u, v) to compute the probabilities of events involving U and V.

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This is the product of the number of eligible candidates for each office, with no member holding more than one office.The correct answer is indeed option D: 39x38x37x36, which equals to 1,724,016.

Since there are no restrictions on who can hold each office, the number of possible outcomes is simply the product of the number of choices for each office, which is:

number of outcomes = number of choices for president x number of choices for vice president x number of choices for secretary x number of choices for treasurer

If there are n eligible bowlers, then there are n choices for president, n-1 choices for vice president (since the president cannot also be the vice president), n-2 choices for secretary, and n-3 choices for treasurer.

Therefore, the total number of possible outcomes is:

number of outcomes = n x (n-1) x (n-2) x (n-3) = n!/(n-4)!

If we substitute n=39 (since there are 39 eligible bowlers), we get:

number of outcomes = 39 x 38 x 37 x 36 = 39!/(35!) = 39x38x37x36

So the answer is D.

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The value of x from the given expression is 5 and the property used are addition and division property

Given the equation below

2x - 30 = -20

Add 30 to both sides (Addition property)

2x - 30 + 30 = -20 + 30

2x = -20 + 30

2x = 10

Divide both sides by 2

2x/2 = 10/2

x = 5

Hence the value of x from the given expression is 5 and the property used are addition and division property

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Answer:

\(\dfrac{9}{35}\) is the fraction of 8th graders who are boys.

Step-by-step explanation:

Let total number of 8th graders = \(x\)

Given that, \(\frac{3}{7}\) of 8th graders play sports

\(\Rightarrow\) 8th graders who play sports = \(\frac{3}{7} \times x\)

Also, Given that, \(\frac{3}{5}\) of 8th graders that play sports are boys

Number of 8th graders that play sports, and are boys = \(\frac{3}{5} \times \text{Number of 8th graders who play sports}\)

\(\Rightarrow \dfrac{3}{5} \times \dfrac{3}{7} \times x\\\Rightarrow \dfrac{9}{35} \times x\)

Hence, the answer is:

\(\dfrac{9}{35}\) is the fraction of 8th graders who are boys.

The best description of the passenger's linear and angular velocity while passing point A is option d) Linear Velocity Constant, Angular Velocity Constant.

When the passenger is at point A, which is the highest point of the ride, the seat exerts a normal force with a magnitude of 0.8F, where F represents the person's weight. This normal force provides the necessary centripetal force to keep the person moving in a circular path. At this point, the passenger's linear velocity remains constant, as there is no change in speed.

Since the passenger releases a small rock without hitting anything, there are no external torques acting on the system. Therefore, according to the law of conservation of angular momentum, the passenger's angular velocity remains constant as well. The angular velocity is determined by the rotational motion of the wheel and does not change as the passenger passes point A.

Therefore, the passenger's linear velocity is constant, and their angular velocity is also constant while passing point A, resulting in the most accurate description being d) Linear Velocity Constant, Angular Velocity Constant.

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The addition equation to represent how their charges combine to make the overall charge of the atom is + 1 + - 1 = 0

A hydrogen atom has one positively charged proton and one negatively charged electron.

An atom of every elements has an electron(negatively charged) and positively charge(proton) part.

An atom as a whole is electrically neutral if the number of proton and electron are equal. They will cancel each other to make the atom neutral.

Therefore, the addition equation to represent how their charges combine to make the overall charge of the atom is as follows;

+ 1 + - 1 = 0

1 positively charged proton plus single negatively charged electron  = zero(neutral)

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Answer:a. 25%

b. 1/5, 0.2, 20%

c. 55/100, 0.55 55%

d. 23/25, 0.92, 92%

e. 3/50, 6/100, 6%

f. 3/20, 15/100, 0.15

g. 74/100, 0.74, 74%

h. 1/25, 0.04, 4%

i. 1/2, 50/100, 50%

j. 24/25, 96/10, 0.96

Step-by-step explanation:

Answer:

to find domain just take the first values of each ordered pairs

to find the range just take the second values of each ordered pairs.

Answer:

13

Step-by-step explanation:

Answer:

3/24 or 1/8 (either one)

Answer: 3/24

Step-by-step explanation:

The equation of the line passing through the points (2,5) and (4,3) is y = -x + 7.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

To find the equation of a line that passes through the points (2,5) and (4,3).

First, we determine the slope (m) using the given points:

\(m = \frac{y_2 - y_1}{x_2-x_1} \\\\m = \frac{ 3 - 5 }{ 4 - 2} \\\\m = \frac{ -2 }{ 2} \\\\m = -1\)

Now, using point (2,5) and slope m = -1, plug into the point-slope form:

y - y₁ = m( x - x₁ )

y - 5 = -1( x - 2 )

Simplify

y - 5 = -x + 2

y = -x + 2 + 5

y = -x + 7

Therefore, the equation of the line is y = -x + 7.

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According to Distributive property, you know that:

In this case, you need to solve the following multiplication:

One of the ways to solve it is using the Distributive property. Notice that:

- The first digit 2 is located in the hundreds place.

- The second digit 2 is located in the tens place.

- The last digit 1 is located in the ones place.

Then, based on the above, you can set up the following expression:

Multiplying the number inside the parentheses and adding the products, you get:

The answer is: Option C.

Answer:

Brainliest Answer?

( 7 / 8 ) seconds

( 77 / 4 ) feet

Step-by-step explanation:

The question is a bit confusing but I will do it both ways. I will assume that you made a mistake copying over the function because the graph s( t ) is linear. Linear functions have a maximum value of infinity because it is an odd-degree polynomial.

Assume that s( t ) = - 16t² + 28t + 7;

The equation forms an upside-down parabola which means it has a maximum value.

Complete the square to get the axis of symmetry and the maximum value of the parabola or use my very cool formula. The variables h and k represent the axis and max respectively.

ax² + bx + c = a( x - h )² + k;

ax² + bx + c = a( x - ( - b / 2a ) )² + c - ( b² / 4a );

ax² + bx + c;

Take a as a factor.

a( x² + ( b / a )x + ( c / a ) );

Add and subtract the square of ( 1 / 2 ) of ( b / a ). This is called completing the square because it forms a perfect square trinomial.

a( x² + ( b / a )x + ( b / 2a )²  - ( b / 2a )² + ( c / a ) );

Factorise the trinomial.

a( ( x + ( b / 2a ) )² - ( b / 2a )² + ( c / a ) );

Use the distributive property of multiplication.

a( x + ( b / 2a )² + a( ( c / a ) - ( b / 2a )² );

a( x + ( b / 2a )² +  a( ( c / a ) - ( b² / 4a² ) );

Simplify the fractions.

a( x + ( b / 2a )² + c - ( b² / 4a );

Substitute the values.

- 16( t - ( - 28 / 2( - 16 ) )² + 7 - ( ( 28 )² / 4( - 16 ) );

Time is the x-axis so we need to solve for the axis of symmetry.

h = ( - 28 / 2( - 16 ) );

h = ( - 28 / - 32 );

Simplify the fraction.

h = ( 7 / 8 );

Maximum height is the parabola's y of the vertex.

k = 7 - ( ( 28 )² / 4( - 16 ) );

k = 7 - ( ( 28 )( 28 ) / - 64 );

k = 7 - ( 784 / - 64 );

k = 7 - ( - 49 / 4 );

k = ( 28 / 4 ) + ( 49 / 4 );

k =  77 / 4;

The scale factor used to create the dilation is 3

Dilation is a method of transformation that magnify or shrink the preimage depending on the scale factor

The transformation rule for dilation is as follows

(x, y) for a scale factor of r → (rx, ry)

comparing the two images it can be seen that dimensions ABCD is a square hence change in one side will equal for all sides

using side BC = 1 unit, B'C' = 3 Units, this shows a maginification of 3 hence the scale factor is 3

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Step-by-step explanation:

This is oddly worded I understand. They are asking for the relationship between x and y. Your equation will start with y= You will need to form your equation in a way that will tell you how to find y in relation to x at any given term. I want you to learn and grow so i will just give an example. Take y=x-2 this would mean that y equals whatever x-2 is. If x were to equal 13, y would equal 11 because 13 minus 2 is 11. I hope this helps. I didnt want to give it all away because I wanted you to feel accomplished

The percent increase or decrease of the starting and ending quantities below are:

The percent increase can be found by the formula:

= (End - Start) / Start x 100%

The percent increase of these quantities are:

= (10 - 3) / 3 x 100%

= 7 / 3 x 100%

= 2.3333 x 100%

= 233%

= (20 - 9) / 9 X 100%

= 11/9 x 100%

= 1.222 x 100%

= 122%

= (85 - 100) / 100 x 100%

= -15 / 100 x 100%

= -15%

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