Solve for x. 35(x−710)=−314 Enter your as a mixed number in simplest form in the box. key word mixed number

Answer:

D

Step-by-step explanation:

ratios are like fractions!

A. simplify  2:8 by dividing by 2 ---> 1: 4

1:16 and 1:4 is not equal

B. Simplify 2:32 by dividing by 2  -----> 1: 16

    Simplify 4:8 by 4 -------> 1:2

1:16 and 1:2 is not equal

C. Simplify 4:16 by dividing by 4 ----> 1:4

1:64 and 1:4 is not equal

D. Simplify 4:64 by dividing by 4 ---> 1:16

1:16 = 1:16

Answer:

Học sinh nam là 21 học sinh, số học sinh nữ là 15 học sinhH

Step-by-step explanation:

Tỉ số giữa nam và nữ là x/y = 7/5 => x/7 = y/5

áp dụng tính chất của dãy tỉ số bằng nhau, ta được:  

x/7 = y/5 => x-y =/7-5 = 6/2 = 3

Vì x/7 = 3 => x = 21

y/5 = 3 => y= 15

Vậy số học sinh nam là 21 học sinh, số học sinh nữ là 15 học sinh

Answer:

Step-by-step explanation:

First, you gotta work out the hypotenuse of ABC, which is AC.

To do that, you need to figure out the scale factor between the two right-angled triangles. You can do that for this question because this is a similar shapes question.

12.5/5 = 2.5

The scale factor length between the two triangles is 2.5.

You can use 2.5 now to work out AC, so AC would be 13 x 2.5, which gives 32.5.

Now that you've got the hypotenuse and BC of ABC, you can use Pythagoras's theorem to work out the length of AB

Pythagoras's theorem = \(a^2 + b^2 = c^2\)

a = BC = 12.5

b = AB = we need to work this out

c = AC (the hypotenuse we just worked out) = 32.5

\(12.5^2 + b^2 = 32.5^2\) Let's both simplify and rearrange this at the same time so that we have our b on one side.

\(b^{2}\) = 1056.25 - 156.25

b = \(\sqrt{(1056.25 - 156.25)}\)

b = \(\sqrt{900}\)

b = AB = 30  We've found b or AB, now we can work out the perimeter of ABC.

Perimeter of ABC = AB + BC + AC

= 30 + 12.5 + 32.5

= 75  Here's the perimeter for ABC.

A conservative vector field is a vector field which is the gradient of a scalar potential field. Hence this vector field is not irrotational and thus not conservative. Thus, the correct answer is option(D) (i) and (iii) only.

A vector field is an assignment of a vector to each point in a subset of space.

it is a condition that occurs in a vector field in which the line integral is independent of the path taken between the initial and final points, but depends only on the endpoints.

This implies that a vector field is conservative if and only if it is irrotational. The given vector fields are:

(i) F(x,y)=(6x^5y^5+3)i+(5x^6y^4+6)j

(ii) F(x,y)=(5ye^(5x)+cos3y)i+(e^(5x)+3xsin3y)j

(iii) F(x,y)=4y^2e^(4xy)i+(4+xy)e^(4xy)j

To check whether each of the given vector fields are conservative or not, we need to determine whether each of them is irrotational or not. If a vector field is irrotational, it is conservative.

For a two-dimensional vector field, the condition for irrotationality is given by ∂Q/∂x = ∂P/∂y, where P and Q are the vector field components in the x and y directions, respectively.

Now we can analyze each given vector field as follows:(i) F(x,y)=(6x^5y^5+3)i+(5x^6y^4+6)j, Here P(x,y) = 6x^5y^5+3 and Q(x,y) = 5x^6y^4+6∂Q/∂x = 30x^5y^4 and ∂P/∂y = 30x^5y^4

Therefore, ∂Q/∂x = ∂P/∂y which implies that this vector field is irrotational and thus conservative.(ii) F(x,y)=(5ye^(5x)+cos3y)i+(e^(5x)+3xsin3y)j , Here P(x,y) = 5ye^(5x)+cos3y and Q(x,y) = e^(5x)+3xsin3y∂Q/∂x = 5e^(5x)+9sin3y and ∂P/∂y = -3sin3y

Therefore, ∂Q/∂x is not equal to ∂P/∂y, hence this vector field is not irrotational and thus not conservative.

(iii) F(x,y)=4y^2e^(4xy)i+(4+xy)e^(4xy)jHere P(x,y) = 4y^2e^(4xy) and Q(x,y) = (4+xy)e^(4xy)∂Q/∂x = (4y+4xy) e^(4xy) and ∂P/∂y = 8ye^(4xy)Therefore, ∂Q/∂x is not equal to ∂P/∂y .

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Answer:y=1/380

Step-by-step explanation:

if you are trying to do y divided by 12 it would be 4560x12

Answer:

Thank you so much

Step-by-step explanation:

Answer:

ty :>

Step-by-step explanation:

The probability that both randomly chosen people own a dog can be calculated using the concept of independent events. If 18% of people own dogs, it means that the probability of a person owning a dog is 0.18.

When picking the first person, there is a 0.18 probability that they own a dog. Now, assuming replacement (putting the person back before picking the second person), the probability that the second person also owns a dog is also 0.18.

To find the probability of both events occurring, we multiply the individual probabilities together: 0.18 * 0.18 = 0.0324.

Therefore, the probability that both randomly chosen people own a dog is 0.0324, which is equivalent to 3.24%. This means that if we were to repeat this random selection process many times, we would expect approximately 3.24% of the time to end up with two dog owners.

It's important to note that this calculation assumes independence between the events and replacement, meaning the probability of one person owning a dog does not affect the probability of the other person owning a dog.

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Therefore , selecting a paperback book has an odd favor of 2:5, this probability problem's solution indicates that.

Calculating the probability of an event happening or a declaration being true is the focus of the mathematical field of probability theory. A chance is just a number between 0 and 1, with 1 denoting certainty and 0 roughly indicating the likelihood of an event occurring. Probability is a mathematical expression of the likelihood or probability that because an event will take place. The percentage ranges of 0% to 100% as well as the numerals 0 and 1 can be used to describe probabilities. the percentage of times an event occurs in a perfect collection of equally likely alternatives, out of all possible outcomes.

Here,

Given The likelihood of selecting a paperback book at random from either a bookshelf is 2/5, as stated.

In order to determine whether picking a paperback book is more likely to be strange,

So, using the information provided, we observe it.

that the odd favor of picking a paperback book is 2:1.

Option D is the proper choice.

Since selecting a paperback book has an odd favor of 2:5, this probability problem's solution indicates that.

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Answer:

2:3

Step-by-step explanation:

The length of arcs MH and TY in terms of π are 18π cm and 22π cm respectively.

Arc length = (central angle / 360) x (2 x π x radius)

Arc length of sector of circle = (θ/360º) × 2πr

For the sector MRH:

θ = 180° - 72° = 108°

r = 30 cm

Arc length MH = (108°/360º) × 2π × 30 cm

Arc length MH = 9 × 2π cm

Arc length MH = 18π cm.

For the sector MRH:

θ = 72°

r = (25 + 30) cm = 55 cm

Arc length TY = (72°/360º) × 2π × 55 cm

Arc length TY = 1 × 2π × 11 cm

Arc length TY = 22π cm

Therefore, the length of arcs MH and TY in terms of π are 18π cm and 22π cm respectively.

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Answer:

56.52/3.14 = 18 feet

Step-by-step explanation:

The equation for finding the diameter of a circle when given the circumference is D = circumference/pi. In this case, the equation is D = 56.52/3.14, which is equal to 18 feet.

Answer:

Step-by-step explanation:

Using the equation C=2\(\pi\)r
56.54=2\(\pi\)*r
where
r= .5*diameter
D=diameter
56.54=2\(\pi\)*(1/2)D
56.25/2\(\pi\)=1/2 D
88.3572933822= 1/2 D
*2
176.714586764=D

The probability that both randomly selected people own a dog is 0.122 or approximately 12.2%.

To calculate the probability, we can use the concept of independent events. Since 35% of people own dogs, the probability of the first person owning a dog is 0.35. Similarly, the probability of the second person owning a dog is also 0.35. Since we want both events to occur, we multiply the probabilities together: 0.35 x 0.35 = 0.122. Therefore, the probability that both randomly selected people own a dog is 0.122 or approximately 12.2%.

This means that out of all the possible combinations of two people, around 12.2% of them will consist of two dog owners. It's important to note that this calculation assumes that each person's dog ownership status is independent of the other person's. In reality, this might not always hold true, as certain factors can influence dog ownership patterns within a population. However, for the purpose of this probability calculation, we assume independence.

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The volume of the pyramid is 1600 ft³

From the image shown, we have to determine the volume of a square - based pyramid

The formula for determining the volume of a square-base pyramid is expressed as;

Volume = (1/3) × (Base Area) × (Height)

Such that;

Base area = a²

Base area = 20² = 400 ft²

Height = 12 ft

Now, substitute the values, we have;

Volume = 1/3 × 400 × 12

Multiply the values, we get;

Volume = 1/3 × 4800

Divide the values, we get;

Volume = 4800/3 ft³

Divide to determine the value, we get;

Volume = 1600  ft³

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omg what is the......................

Answer:

Options (1), (3) and (7)

Step-by-step explanation:

Characteristics of the given graph are as followed.

1). For every input value (x-value) there is a different output values (y-values).

   So the points on the graph represent a function.

2). Coordinates of all the points are distinct and separate (not in fractions or decimals).

    Function given is a discrete function.

3). For every increase in the x-values of the points there is a decrease in y-values.

  Therefore, given function is a decreasing function.

Therefore, Options (1), (3) and (7) are the correct options.

0 3 6 9 12 15 18

(each tick mark = +3)

Answer:y =7/4x-33/4

Step-by-step explanation:

The equation of the perpendicular bisector of the segment with endpoints Y(10,−7) and Z(−4,1) is 3y - 7x = -30

The equation of a line in point-slope form \(y-y_1 = m(x-x_1)\)

m is the slope

(x0, y0) is the point on the line

For this question, the point on the line will be the midpoint between the given endpoints Y(10,−7) and Z(−4,1)

x0 = 10-4/2

x0 = 6/2 = 3

Similarly,

y0 = -7+1/2

y0 = -6/2 = -3

The required point will be (3, -3)

Get the slope of the line passing through the endpoints Y(10,−7) and Z(−4,1)

\(m=\frac{1+7}{-4-10}\\m=\frac{-8}{14} \\m = \frac{-4}{7}\)

The slope of the line perpendicular will be \(\frac{7}{4}\)

Get the required equation:

Recall that \(y-y_1 = m(x-x_1)\)

\(y-(-3)= \frac{7}{4} (x-3)\\y+3=\frac{7}{3}(x-3)\\3(y+3)=7(x-3)\\3y+9=7x-21\\3y-7x = -30\)

Hence the equation of the perpendicular bisector of the segment with endpoints Y(10,−7) and Z(−4,1) is 3y - 7x = -30

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The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19

The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7

The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below

f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3

When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343

Then

f[g(x)] = - 64x³ - 336x² - 588x - 340

Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;

g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g

[f(x)] = -4x³ + 19

Therefore,

f[g(x)] = - 64x³ - 336x² - 588x - 340

g[f(x)] = -4x³ + 19

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Answer:

Step-by-step explanation:

sorry for the photo quality but i dont hv aphone and use a laptop instead

To satisfy the condition of the line d intersecting the graph at two distinct points with coordinates greater than 3, we can choose any nonzero value for m.

To find the value of m for the line d: mx + 3 that intersects the graph of the function\(y = x^3 - 3x + 2\) at two distinct points with coordinates greater than 3, we need to analyze the behavior of the function and the line.

The graph of the function\(y = x^3 - 3x + 2\) is a cubic curve.

By observing the shape of the graph, we can see that it has two local minima and one local maximum.

Since we are looking for two distinct points of intersection with coordinates greater than 3, we need to find the slope of the line d such that it intersects the function at these points.

To determine the slope of the line d, we need to find the derivative of the function\(y = x^3 - 3x + 2.\)

Taking the derivative, we get \(y' = 3x^2 - 3.\)

Since the line d intersects the graph at two distinct points, it must be a secant line rather than a tangent line.

This means that the slope of the line should be different from the slope of the tangent line at any point on the curve.

To find the slopes of the tangent lines, we set y' = 0 and solve for \(x: 3x^2 - 3 = 0.\)

Simplifying, we find \(x^2 - 1 = 0,\) which gives us x = ±1.

Therefore, the tangent lines at x = -1 and x = 1 have slopes of \(3(-1)^2 - 3 = 0\) and \(3(1)^2 - 3 = 0,\) respectively.

To find the slope of the line d that intersects the graph at two distinct points with coordinates greater than 3, we need a slope that is different from 0.

Thus, we can choose any value of m ≠ 0.

In summary, to satisfy the condition of the line d intersecting the graph at two distinct points with coordinates greater than 3, we can choose any nonzero value for m.

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If you multiplied out 82!, it would end in 19 zeros by factoring out from the product of all integers from 1 to 82.

To determine the number of zeros at the end of 82!, we need to find the number of times 10 can be factored out from the product of all integers from 1 to 82.

This is because a zero is created whenever a factor of 10 is present in a number, which occurs when a multiple of 10 or a multiple of 5 and 2 is present in the product.

We can find the number of multiples of 5 and 2 by dividing 82 by 5 and then by 25, since each multiple of 5 contributes at least one factor of 5 and each multiple of 25 contributes an additional factor of 5.

82 ÷ 5 = 16 with a remainder of 2, so there are 16 multiples of 5 between 1 and 82.

82 ÷ 25 = 3 with a remainder of 7, so there are 3 multiples of 25 between 1 and 82.

Therefore, the total number of factors of 5 in 82! is 16 + 3 = 19. Since every factor of 5 can be paired with a factor of 2, there will always be enough factors of 2 to create a factor of 10. Thus, there are 19 zeros at the end of 82!.

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For the number of hours a student spent studying each week for 9 weeks is shown the range is 9.

The range in range statistics is the distinction between the highest and lowest number in a collection of data. For instance, the range will be 12 - 2 = 10 if the data set is (2, 4, 6, 8, 12). Consequently, the difference between the greatest and lowest observation might be subtracted from the range calculation. The outcome is referred to as the observational range. It demonstrates the spread of observation in data management or statistics.

The range of the set of data is calculated as the difference between the highest value and the lowest value.

For the given data set we have:

Range = 12 - 3

Range = 9

Hence, for the number of hours a student spent studying each week for 9 weeks is shown the range is 9.

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Answer:

9

Step-by-step explanation: I got the answer correct

The result from project number 11 suggests that the drug may be effective in reducing the size of pancreatic tumors, but it is not sufficient to conclude definitively that the drug is effective using hypothesis.

The p-value of 0.027 indicates that if there were truly no effect of the drug, the probability of observing a result as extreme as or more extreme than what was observed in project number 11 would be 0.027. This suggests that the result is unlikely to have occurred by chance alone. However, it is possible that the result is a false positive or due to chance variation, especially given that 20 research projects were conducted. It would be important to replicate the result in additional studies and consider the overall body of evidence before concluding definitively that the drug is effective.

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By AA similarity Triangle PQR and TQS are similar.

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.

Given:

As, PR || TS then

<RPQ = <TSQ (Alternate Interior Angle)

< <QTS = <QRP (Alternate Interior Angle)

So, Triangle PQR and TQS are similar by AA similarity criteria.

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Answer:

Hi! The answer to your question is \(\frac{3}{4}\)

Step-by-step explanation:

This equation is in y=mx+b or -b which is Slope Intercept form for Graphing basically y is the y intercept and b means slope, you don't have to do anything extra to find the slope when its in Slope Intercept Form all you have to do is look for usually its a fraction but it can also be a number but all you have to look for is the number that comes before b in the equation! If this has helped you please say that this has helped, if it hasn't please tell me what confuses you and i can quickly clear up that confusion! Have a nice day!

\(52 \times 0.15 = 7.8\)

\(52 - 7.8 = 44.20\)

The sale price of the shoes is $44.20

Answer:

52*15/100=7.8$ so u will take away 7.8$ from 52$=44.2$ he has to pay.

=======================================================

Reason:

The first marble was replaced, so the original state of the bag hasn't changed overall. The probability isn't changed either. We can treat the second selection entirely independent of the first one.

If the first marble wasn't replaced, then the marble count of course goes down by 1. That affects the probability of the second selection and we'd consider these events to be dependent.

---------

An example:

Consider a bag with 4 red marbles and 6 green ones. The chances of picking red on the first try are 4/10 = 2/5. The chances of picking red again would be 2/5 assuming we put that red marble back. We can see the second selection is independent of the first.

If the marble wasn't put back, then the chances of picking a 2nd red marble would be 3/9 = 1/3. I subtracted 1 from the numerator and denominator of 4/10 to get to 3/9. In this case, the 2nd selection's probability depends on the first event (whether red was picked or not).