Solve for x in the diagram below.

Answer:

7.5 i belive

Step-by-step explanation:

area= lenghthx width thats the formula 3mm converted is 3 cm 3cmx2.5=7.5

The divergence of the vector field F is positive for y > -1/3 and negative for y <  -1/3.

To plot the vector field F(x, y) = (xy, x + y^2), we can first visualize the vectors at various points in the xy-plane. Let's choose a range of values for x and y and calculate the corresponding vectors. We'll use a step size of 1 for simplicity.

Here is a sample grid of points and their corresponding vectors:

(x, y) = (-2, -2) -> F(-2, -2) = (4, 2)

(x, y) = (-1, -2) -> F(-1, -2) = (2, 2)

(x, y) = (0, -2) -> F(0, -2) = (0, 2)

(x, y) = (1, -2) -> F(1, -2) = (0, 2)

(x, y) = (2, -2) -> F(2, -2) = (4, 2)

(x, y) = (-2, -1) -> F(-2, -1) = (2, 1)

(x, y) = (-1, -1) -> F(-1, -1) = (1, 1)

(x, y) = (0, -1) -> F(0, -1) = (0, 1)

(x, y) = (1, -1) -> F(1, -1) = (0, 1)

(x, y) = (2, -1) -> F(2, -1) = (2, 1)

... and so on for other values of y and for positive values of y.

To calculate the divergence (divF) of the vector field, we need to find the partial derivatives of the components of F with respect to x and y. Then we sum these partial derivatives.

F(x, y) = (xy, x + y^2)

∂F/∂x = y

∂F/∂y = 1 + 2y

divF = ∂F/∂x + ∂F/∂y = y + (1 + 2y) = 3y + 1

Now, we can analyze where the divergence is positive (divF > 0) and where it is negative (divF < 0).

For divF > 0:

If y > -1/3, then divF > 0.

For divF < 0:

If y < -1/3, then divF < 0.

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Answer:

Around 0.22 dollars or 22 cents

Step-by-step explanation:

We know that per 16 ounces it costs 3.58. We want the ounces to equal zero. To do that, we divide 16 by 0, but to keep it equal we need to divide 3.58 by 16. So...

16/16 = 1

3.58/16 = 0.22375

This means that every ounce of cereal, it costs 0.22375 dollars, but money can't go in the thousandths place, so we must round it to the hundredths place, which becomes 0.22 dollars, or 22 cents. I hope this helps and I hope it's not wrong but I don't think it is.

Answer:

what are the answer choices?

Answer:

5=3 bedmas

Step-by-step explanation:

Answer:

equation: sin 20 = 15/x

x=43.86

Step-by-step explanation:

sin = opposite over hypotenuse = 15/x from the corner with angle 20

Answer:

B. (1, -3)

Step-by-step explanation:

When you dilate from the origin (0, 0) by a scale factor of 1/2, multiple each coordinate point by 1/2.

(2, -6)

2 × 1/2 = 1

-6 × 1/2 = -3

(1, -3)

I hope this helps :))

Answer:

The answer is (1,-3)

Step-by-step explanation:

I took the test :)

1.

b = -3

2.

a = 39

3.

b = -3

13.

w = 16

14.

m = 45

Hope this helps you. Do mark me as brainly.

Answer:

The answer is C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

if you see where the red line ends on the right side it is at 170 on the protractor

Answer:

301

Step-by-step explanation:

bro :(

Answer:

301

Step-by-step explanation:

The equation of the translated graph from the parent function is g(x) = |x + 2| + 1

The parent function is given as

f(x)= |x|

From the graph, we can see that the parent function f(x) is translated as follows:

The above sequence of translation is represented as

(x, y) = (x + 2, y + 1)

So, we have

g(x) = |x + 2| + 1

Hence, the equation of the translated graph is g(x) = |x + 2| + 1

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Answer:

Hence, both Marlon and Adrian both have the same at bats percentage.

Step-by-step explanation:

Marlon's at bats :

Number of at bats = 15

Hits = 6

Hit percentage = 6/15 * 100% = 40%

Adrian :

Number of at bats = 10

Hits = 4

Hit percentage = 4/10 * 100% = 40%

Hence, both Marlon and Adrian both have the same at bats percentage.

The probability of 0 non conforming units is 0.47.

To find the probability of 0 non conforming units, we can use the fact that the sum of the probabilities of all possible outcomes is equal to 1. Therefore,

P(0 non-conforming units) = 1 - P(1 non-conforming unit) - P(2 non-conforming units)

We are given that P(1 non-conforming unit) = 0.38 and P(2 non-conforming units) = 0.15. Substituting these values into the equation, we get:

P(0 non-conforming units) = 1 - 0.38 - 0.15

P(0 non-conforming units) = 0.47

Therefore, the probability of obtaining 0 non-conforming units is 0.47.

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Answer:

k²+16k+ 153

Step-by-step explanation:

k²+16k+64+89

= k²+16k+ 153

Therefore, probability solution is estimating this likelihood without additional data or analysis is inappropriate correct response is option a.

The main goal of the mathematical branch known as statistical inference is to estimate the likelihood that a statement is accurate or that a particular event will take place. Any number among 0 and 1, where 1 typically denotes confidence and 0 typically denotes possibility, can be used to symbolise chance. A probability diagram illustrates the likelihood that a particular occurrence will take place.

Here,

Because of the skewed demographic distribution, the right response is (a).

We could use the normally distributed to compute probabilities because the length of adult American ladybirds is distributed normally with a known standard deviation. The normal distribution may not, however, correctly depict the distribution of ladybird lengths in the population due to the skewed population distribution.

Furthermore, even if the difference between the actual community mean and the assumed mean of 1 cm is tiny, the given size of the population of 440000 could result in a statistically significant outcome.

However, because the assumption of normality may not hold true, this does not imply that we can accurately determine the likelihood of a random ladybird in Raleigh being larger than 1.5 centimetres.

Therefore, estimating this likelihood without additional data or analysis is inappropriate.

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Answer:x=4

Step-by-step explanation:

the rule is for each time x is increased by one y increases by 7

like 5+7=12

12+7=19

19+7=26

so

1+1=2

2+1=3

3+1=4

4 is the answer

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{2\times4^0\times6^2}{2^4 \times 4^{-1} \times6^1}}\\\\\mathsf{= \dfrac{2\times\bf 1\times36}{2^4 \times 4^{-1} \times6^1}}\\\\\mathsf{= \dfrac{2\times \bf 36}{2^4 \times 4^{-1} \times6^1}}\\\\\mathsf{= \dfrac{\bf 72}{2^4 \times 4^{-1} \times6^1}}\\\\\mathsf{= \dfrac{72}{\bf 16\times \dfrac{1}{4}\times6}}\\\\\mathsf{= \dfrac{72}{\bf 16\times6}}\\\\\mathsf{= \dfrac{72}{\bf 24}}\\\\\mathsf{= \bf 3}\)

\(\huge\textbf{Therefore, your answer should be: }\)

\(\huge\boxed{\mathsf{3}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

\( \displaystyle {\rm{ \frac{2 \times {4}^{0} \times {6}^{2} }{ {2}^{4} \times {4}^{ - 1} \times 6 } }}\)

\(\displaystyle {\rm{ \frac{2 \times \bold{1} \times {6}^{2} }{ {2}^{4} \times {4}^{ - 1} \times {6}^{1} } }}\)

\(\displaystyle {\rm{ \frac{2 \times 1 \times \bold{36}}{ {2}^{4} \times {4}^{ - 1} \times 6 } }}\)

\(\displaystyle {\rm{ \frac{2 \times 1 \times 36}{ \bold{16} \times {4}^{ - 1} \times 6 } }}\)

\(\displaystyle {\rm{ \frac{2 \times 1 \times 36}{16 \times \bold{ \frac{1}{4}} \times 4} }}\)

\( \left[ \because \: {x}^{ - m} = \frac{1}{ {x}^{m} } \right]\)

\(\displaystyle {\rm{ \frac{2 \times 1 \times 36}{ \cancel{16^4} \times \frac{1}{ \cancel4} \times 6 } }}\)

\(\displaystyle {\rm{ \frac{72}{24} }}\)

\(\displaystyle {\rm{ \frac{2 \times 2 \times 2 \times 3 \times 3}{2 \times 2 \times 2 \times 3} }}\)

\(3\)

Step-by-step explanation:

\( \frak{ \pink{Seolle...a_{prodite}}}\)

The probability of getting a sample mean greater than 85 thunderstorms per month for a sample of ten months is 0.0008.

The probability that the number of thunderstorms in a single month is greater than 85 can be found using the z-score formula.

z = (85 - 75) / 20 = 0.5

Using a standard normal distribution table, the probability of z being less than 0.5 is 0.6915. So the probability of having more than 85 thunderstorms in a single month is 1 - 0.6915 = 0.3085 or about 30.85%.

t = (85 - 75) / 2.00 = 5.00

Using a t-distribution table with 9 degrees of freedom, the probability of t being greater than 5.00 is very close to 0. Therefore, the probability of having a mean of more than 85 thunderstorms per month in a sample of ten months is extremely low.

Therefore, the probability of getting a sample mean greater than 85 thunderstorms per month for a sample of ten months is 0.0008.

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Answer:

\(a) Slope = \dfrac{-2}{5}\\\\y-intercept = -8\)

b) slope = 2

y-intercept = 9

Step-by-step explanation:

          y = mx + b

Here, m is the slope and b is the y-intercept.

a)

         \(\sf y = \dfrac{-2}{5}x - 8\\\\\Comparing \ with \ the \ above \ equation,\\\\ slope = \dfrac{-2}{5}\\\\y-intercept = -8\)

b)

9 - y = - 2x

    -y = -2x  - 9

Multiply the entire equation by (-1)

      y = 2x + 9

        Slope = 2

y -intercept = 9

Answer:

9

Step-by-step explanation:

listing the factors

27 : 1, 3, 9, 27

36 : 1, 2, 3, 4, 9, 12, 18, 36

the common factors are 1, 3, 9

the highest common factor is 9

Hi :)

The highest common factor is also known as the HCF

Let's find the HCF of \(\boldsymbol{27}\) and \(\boldsymbol{36}\).

\(\boldsymbol{Factors\:of\:27: 1, 3, 9, 27}\)

\(\boldsymbol{Factors\:of\:36:1,2,3,4,6,9,12,18,36}\)

HCF : \(\boldsymbol{9}\)

\(\tt{Learn\:More;Work\;Harder}\)

:)

Answer:

sin 60 = 6 sqrt(3) / a

sqrt(3)/2 = 6 sqrt(3) / a

1/2 = 6/a

a =12

sin 30 = b / a

1/2 = b / 12

b=12/2

b=6

Step-by-step explanation:

The fourth ordered pair using the two

sequences is ( 7/3 ,106) .

The first sequence is constructed by first multiplying the terms by 2 and then adding one-third starting from zero. So, sequence starts from 0.

First term of first sequence, a₁ = 0

a₂ = (2x0) + 1/3 = 1/3

a₃ = (2x1/3) + 1/3 = 2/3 + 1/3 = 1

a₄ = (2x1) + 1/3 = 2 + 1/3 = 7/3

Hence, the sequence is 0, 1/3, 1, 7/3, ...

The second sequence is constructed by first adding one half in terms and then multiplying by 4. The sequence starts from 1 ,

a₁ = 1

a₂ = (1 +1/2) × 4 = (3/2)4 = 6

a₃ = (6+1/2) x 4 = 13/2 x 4 = 26

a₄ = (26 + 1/2)× 4 = 53/2 x 4 = 106

Hence, the sequence is 1, 6, 26, se106, ...

Therefore, the fourth terms of the two sequences are the following, 7/3 and 106.

So, required ordered pairs is ( 7/3, 106).

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כ

The new coordinates of points M and O is determined as;

M = (0.5, - 1)

O = (2.5, -2).

The new coordinate of points M and O after applying the scale factor is calculated as follows;

The given scale factor = 1/2

The current coordinates of point M and O is;

M = (1, - 2)

O = (5, - 4)

A scale factor can be used to either enlarge a figure or decrease a figure.

When the scale factor is less than 1, it means the new figure will be smaller than the original figure.

However, if the scale factor is greater than 1, the new figure will be greater than the original figure.

The new coordinates of points M and O is determined as follows;

M = (1 x 1/2,  -2 x 1/2) = (0.5, - 1)

O = (5 x 1/2, -4 x 1/2) = (2.5, -2)

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XY< 10

if you get too confused whether the x is a variable or a sign, use the * .

According to the question we have  approximately 99.74 percent of customers are willing to pay between $1.20 and $1.80 for a pint of frozen yogurt.

To answer this question, we will use the normal distribution formula and z-score.

First, we need to find the z-score for the lower limit of $1.20:

z = (1.20 - 1.50) / 0.10 = -3

Next, we need to find the z-score for the upper limit of $1.80:

z = (1.80 - 1.50) / 0.10 = 3

Now, we can use a z-table to find the area under the curve between these two z-scores.

The area to the left of z = -3 is 0.0013, and the area to the left of z = 3 is 0.9987.

To find the area between these two z-scores, we subtract the area to the left of z = -3 from the area to the left of z = 3:

0.9987 - 0.0013 = 0.9974

Therefore, approximately 99.74% of customers are willing to pay between $1.20 and $1.80 for a pint of frozen yogurt.

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The area of the garden is 7 square feet.

The area a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the sum of its length and breadth. An example of a quadrilateral with equal and parallel opposite sides is a rectangle. It is a polygon with four sides and four angles that are each 90 degrees. A rectangle is a shape with only two dimensions. A rectangle's area (A) is calculated by multiplying its length ('a') by its breadth ('b'). Area of Rectangle is therefore equal to (a× b) square units.

Given,

Width = 3/4

Length = 9 + 1/3

Length = 28/3

Area:

Length × Width

3/4 × 28/3

84/12

7

The area of the garden is 7 square feet.

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Answer:

T = C - (9.95 * 3)

Step-by-step explanation:

The account balance total can be calculated with the following equation where the variable T represents the final balance while the variable C represents her current balance before the three months...

T = C - (9.95 * 3)

The monthly charge is multiplied by the three months that Megan will be charged and then discounted from her current balance in order to give the new Total Balance after paying the subscription for the three months.

Answer:

it's a parallelogram so the 50° is an alternate angle to the one you are trying to work out.

11x + 6 = 50°

11x = 50-6

11x = 44

X = 44/11

X = 4°

The probability of getting  one sequence of six heads and six tails in a million tosses is almost certain, approaching 1.

The probability of getting one sequence of six heads and six tails in a million tosses,  the concept of complementary probability.

First, let's calculate the probability of not getting any sequence of six heads and six tails in a million tosses.

The probability of not getting a specific sequence of six heads and six tails in a single toss is 1/2²12 since there are 12 coin flips in that sequence. Therefore, the probability of not getting the specific sequence in a million tosses is (1/2²12)²1,000,000.

The probability of not getting any sequence of six heads and six tails in a million tosses can be calculated by subtracting the probability of getting one sequence from 1:

Probability of not getting any sequence = 1 - (1/2²12)²1,000,000

calculate this probability:

Probability of at least one sequence = 1 - (1/2²12)²1,000,000

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