The graph of which of the following equations contains the point (-3,0)?
A. 22+y=6
B. x - 2y = 6
C. -x + 2y = 6
D. -2x + y = 6

The value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.

The basic trigonometric ratios includes;

sine, cosine and tangent.

Considering the sine of angle 41°

sin 41° = 2.5/x {opposite/hypotenuse}

x = 2.5/sin 41° {cross multiplication}

x = 3.8106

Therefore, the value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.

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To find the function n(t) that models the population of bacteria after t hours, we can use the exponential growth formula:

n(t) = n0 * e^(kt)

Where:

n(t) is the population after t hours,

n0 is the initial population size,

e is the base of the natural logarithm (approximately 2.71828),

k is the growth rate constant.

We can determine the value of k using the given information. After 1 hour, the bacteria count is 9500, which is the population at time t = 1. Plugging these values into the equation:

\(9500 = 1100 * e^(k*1)\)

To find k, we can divide both sides by 1100:

9500/1100 = e^k

Now, we can solve for k by taking the natural logarithm (ln) of both sides:

ln(9500/1100) = ln(e^k)

ln(9500/1100) = k

Now we have the value of k. We can plug it back into the exponential growth formula to obtain the function n(t):

\(n(t) = 1100 * e^(ln(9500/1100) * t)\)

To find the population after 1.5 hours, we can substitute t = 1.5 into the equation:

\(n(1.5) = 1100 * e^(ln(9500/1100) * 1.5)\)

To find the number of hours when the number of bacteria will reach 20,000, we can set n(t) equal to 20,000 and solve for t:

\(20,000 = 1100 * e^(ln(9500/1100) * t)\)

Finally, to sketch the graph of the population function, plot the values of t on the x-axis and the corresponding values of n(t) on the y-axis using the equation n(t) = 1100 * e^(ln(9500/1100) * t). The resulting graph will show the exponential growth of the bacteria population over time.

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Answer:

So the width of the rectangle is 20 units.

Step-by-step explanation:

Since the area of the rectangle is 80 square units and the length of one side is 4 units, we can use the formula for the area of a rectangle (A = lw) to find the width of the rectangle. We can set up the equation like this:

A = lw

80 = 4w

w = 20

So the width of the rectangle is 20 units. This means that the vertices of one of the sides of the rectangle that represents the width could be (0,0), (0,20), (20,0), and (20,20). These coordinates assume that the lower left corner of the rectangle is at the origin (0,0). If the rectangle is not at the origin, the coordinates of the vertices would be different. For example, if the lower left corner of the rectangle was at (-5,5), the coordinates of the vertices would be (-5,5), (-5,25), (15,5), and (15,25).

Answer:

A:medians divide each side of the triangle in half

Step-by-step explanation:

on plato

Answer:

To convince the manager that he has improved, we need to take a sample and test against the null hypothesis that states that the proportion of success of this player is not significantly higher than 0.250.

If we have a sample of size n=20 with sample proportion 0.333, at a significance level of 0.05, there is not enough evidence to support the claim that the proportion of success is greater than 0.250.

Step-by-step explanation:

In this case, to demostrate that the baseball player has improved his probability of success over 0.250, we need to know the sample size of that winter (that gives p=0.333) and then perform a hypothesis test on the proportion of at-bats.

Lets assume the sample is n=20, and the sample proportion is p=0.333.

The claim is that the proportion of success is greater than 0.250.

Then, the null and alternative hypothesis are:

\(H_0: \pi=0.25\\\\H_a:\pi>0.25\)

The significance level is 0.05.

The sample has a size n=20.

The sample proportion is p=0.333.

The standard error of the proportion is:

\(\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.25*0.75}{20}}\\\\\\ \sigma_p=\sqrt{0.009375}=0.097\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.333-0.25-0.5/20}{0.097}=\dfrac{0.058}{0.097}=0.599\)

This test is a right-tailed test, so the P-value for this test is calculated as:

\(\text{P-value}=P(z>0.599)=0.275\)

As the P-value (0.275) is greater than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

At a significance level of 0.05, there is not enough evidence to support the claim that the proportion of success is greater than 0.250.

Answer:

Step-by-step explanation:

Answer:

The given math problem is:

Find the quotient of  0-5a³b ÷ 0_5b

To solve this problem, we need to use the following steps:

Step 1: Simplify the given expression by dividing 0-5a³b with 0_5b.

Step 2: 0_5b refers to 0.5b, so the expression can be rewritten as: 0-5a³b  ÷ 0.5b.

Step 3: We can rewrite the expression as: 0-5 ÷ 0.5 x a³b.

Step 4: Since, 0.5 ÷ 0.5 = 1, we can simplify the expression to: 1 x a³b .

Step 5: Therefore, the quotient of 0-5a³b ÷ 0_5b is 1 x a³b.

Step-by-step explanation:

The sum total by the given data is equals to $658,880.

We are given that;

Percent=15%

Amount= $98,880

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

To divide by a percentage, we can convert it to a decimal by moving the decimal point two places to the left. This gives us:

15% = 0.15

To divide by 0.15, we can multiply by its reciprocal, which is 1/0.15. This gives us:

$98,880 / 0.15 = $98,880 x 1/0.15

To multiply by 100, we can move the decimal point two places to the right. This gives us:

$98,880 x 1/0.15 x 100 = $658,880

Therefore, by the percentage the answer will be $658,880.

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Answer:

In this equation, the 100 represented the initial quantity, and the 0.50 was the percent ... If a bank offers a 24 month CD with an annual interest rate of 1.2% ... up an exponential function, with our initial amount of $1000 and a growth rate of r ... An initial substance weighing 20g is growing at a continuous rate of 12% per day.

Step-by-step explanation:

the balance in the account at the 10th day will be equal to - $ 57.5.

Late fee for 1 day = $ 5.75

Number of days = 10

We will calculate the late fees for 10 days by using the operation of multiplication.

So, late fee will be:

Late fees = 10 × $ 5.75

Late fees = $ 57.5

Balance in the account at the 10th day = 0 - Late fees

Balance in the account at the 10th day = 0 - $ 57.5

Balance in the account at the 10th day = - $ 57.5

Therefore, the balance in the account at the 10th day will be equal to - $ 57.5.

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SOLUTION

The given scale is 2 cm to represents 5 m

The given dimension of the bed room is 2cm by 4cm

Since 2cm represents 5m ten

4 cm will represent 10 m

Hence the actual dimension of the bedroom is 5 m by 10 m

Therefore the area of the rectangle is:

Therefore the area of the bedroom is

Answer:

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Step-by-step explanation:

Answer:

D

Step-by-step explanation:

why the panic ? you only need to compare the tiles with the actual terms in the equations and add them up.

x²

-x²

-x -x

x x x x (clearly that means 4x)

-1 -1 -1

1 1

so, we see it is D.

The data set that best describes the histogram is

(4, 7, 11, 13, 14, 19, 22, 24, 26, 27, 29, 31, 33, 35, 36, 38, 40, 42, 42, 42)

We have,

The histogram shows that there are different intervals on the x-axis, and for each interval, there is a corresponding frequency on the y-axis.

From the given data, we can see that there are more passengers in the 11 to 20 interval than in the 1 to 10 interval, and so on.

Looking at the answer choices, we need to choose the data set that matches the histogram.

The first step is to check if the data set has the same range as the histogram.

The histogram has intervals from 1 to 10, 11 to 20, 21 to 30, 31 to 40, and 42 to 50.

Now,

The first answer choice has numbers less than 1 and greater than 50, so it cannot be the correct choice.

The second answer choice has a range from 4 to 42, which matches the histogram.

We can check if the frequencies in the data set match the heights of the bars in the histogram.

For example, the histogram has a bar for the 11 to 20 interval that stops at 4, which means there are 4 passengers in that interval.

The second data set has 4 passengers in the 11 to 20 interval, so it matches.

We can do the same for the other intervals and find that the second data set matches the histogram.

Therefore,

The data set that best describes the histogram is

(4, 7, 11, 13, 14, 19, 22, 24, 26, 27, 29, 31, 33, 35, 36, 38, 40, 42, 42, 42)

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Answer:

3x-4y=18

1xy=18

xy=18 ans

Answer:

X=2/5

Y=-21/5

Step-by-step explanation:

solve your system by substitution.

3x−4y=18;9x−2y=12

Step: Solve3x−4y=18for x:

3x−4y=18

3x−4y+4y=18+4y(Add 4y to both sides)

3x=4y+18

3x/3=4y+18/3

(Divide both sides by 3)

x=4/3y+6

Step: Substitute 4/3y+6 for x in 9x −2y=12:

9(4/3y+6)−2y=12

10y+54=12(Simplify both sides of the equation)

10y+54+−54=12+−54(Add -54 to both sides)

10y=−42

10y/10=-42/10 .   (Divide both sides by 10)

y=-21/5

Step: Substitute

21/5 fory in x= 4/3y+6

x= 4/3y (-21/5) +6

  X=2/5 (Simplify both sides of the equation)

           Answer:

          X=2/5

          Y=-21/5

HAVE A NICE DAY!!!!!

Answer:

Option D : 22°

Step-by-step explanation:

The relationship between angle C and the two legs of the right triangle ie AB and BC is

\(\tan C = \dfrac{AB}{BC}\\\\\text{We have AB = 2, AC = 5}\\\\\rightarrow \tan C = \dfrac[2}{5}= 0.4\\\\m\angle C = \tan^{-1}(0.4) = 21.8^\circ\)

Rounded to the nearest degree this would be 22°

Option D

Answer:

D

Step-by-step explanation:

using either the sine or cosine or tangent ratios in the right triangle , that is

sin C = \(\frac{opposite}{hypotenuse}\) = \(\frac{AB}{AC}\) = \(\frac{2}{\sqrt{29} }\) , then

∠ C = \(sin^{-1}\) ( \(\frac{2}{\sqrt{29} }\) ) ≈ 22° ( to the nearest degree )

or

cos C = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AC}\) = \(\frac{5}{\sqrt{29} }\) , then

∠ C = \(cos^{-1}\) ( \(\frac{5}{\sqrt{29} }\) ) ≈ 22° ( to the nearest degree )

or

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{2}{5}\) , then

∠ C = \(tan^{-1}\) ( \(\frac{2}{5}\) ) ≈ 22° ( to the nearest degree )

The area of the  ABCD is 30 square units.

A quadrilateral which have opposite side are parallel and equal to each other.

area of the parallelogram ABCD,

Area = base × height

find the equations of the lines AB and BC:

Line AB passes through the points A(-4,2) and B(-4,-3):

slope = (y2 - y1)/(x2 - x1) = (-3 - 2)/(-4 - (-4)) = -5/0 = undefined

Since the slope is undefined, the line is vertical and has the equation x = -4.

Line BC passes through the points B(-4,-3) and C(2,-3):

slope = \(\frac{(y2 - y1)}{(x2 - x1)}\) = \(\frac{-3 - (-3)}{(2 - (-4)}\)) = 0

Since the slope is 0, the line is horizontal and has the equation y = -3.

The height corresponding to AB is the perpendicular distance between AB and CD, which is the vertical distance between the lines x = -4 and x = 2. This distance is 6 units.

The height corresponding to BC is the perpendicular distance between BC and AD, which is the horizontal distance between the lines y = -3 and y = 2. This distance is 5 units.

Since the height corresponding to BC is shorter, we use it as the height of the parallelogram. The base is BC, which has a length of 6 units. Therefore, the area of the parallelogram is:

Area = base × height = 6 × 5 = 30 square units.

Therefore, the area of the  ABCD is 30 square units.

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The graph of y = x^2 should be translated by 1 unit to the right and 3 units up.

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

In Mathematics, a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

Therefore, we have the following:

f(x) = x^2

g(x) = f(x - 1) + N

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

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Answer: Just add the 14+3

= Y17

Step-by-step explanation:

By using the Unitary Method we get the number of children who went on an excursion was 63. Thus, the total number of children at school is 90.

We are given that,

No. of children who stayed at school is 27,

Also, 70% of the children went on an excursion.

Suppose, the total number of children in percentage is 100%

Out of which 70% went on an excursion

Thus, the children who stayed at school is 100% - 70% = 30%

By using the Unitary method, we can find out the number of 70% of children.

If 30% of the children are 27

Then 70% of the children are = 27 × 100

                                                        30

                                                 = 63

∴ the total no. of children in the school = 27 + 63

                                                                 = 90

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The situation given can be pictured as follows:

The altitude reached by the plane is the opposite leg of the angle of 12°, to find it we can use the tangent function, which is defined as:

Plugging the values given we have that:

solving for x we have:

Therefore the height of the plane is 106.2783 ft.

The equation that represents the total price of Michigan State University per semester is determined by the number of classes taken (c) and the total cost for the semester, which includes a one-time fee for room and board (t).

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Answer:

Find the length of the horizontal and vertical sides by subtracting the x and y values. Then follow the steps for using the Pythagorean theorem to find the length of the unknown side. Remember to use the points on each end of the line segment to find the length of the horizontal and vertical sides.

Step-by-step explanation:

Answer:

It's 10

Step-by-step explanation:

Answer:

You aren't posting pictures

Step-by-step explanation:

Answer:

2 squared - 7 + -4

Step-by-step explanation:

The prevalence of asthma on January 1, 2019 is 0.055, the prevalence of asthma on September 1, 2019 is 0.080, the incidence of asthma between January 1 and September 1 is 0.025, there is not possible to calculate asthma incidence rate for the year 2018.

Prevalence is the formula to determine the rate of some case based on population. This can be calculated by divide the case by the population.

Incidence rate is same as prevalence in some factor except it only calculate time range and for this case it have same formula which is we can calculate incidence rate by divide the case by the population.

So, for January 1, 2019 is

Prevalence = 1,098 / 19,800

= 0.055

For September 1, 2019 is

Prevalence = (1,098 +  new 495) / 19,800

= 1,593 / 19,800

= 0.080

For incidence of asthma between January 1 and September 1 is

Incidence = 495 / 19,800

= 0.025

For 2018 because we are not provided with data for that year so it is impossible to calculate it.

Thus, the prevalence in January 1 is 0.055, September 1 is 0.080, and incidence between January 1 and September 1 is 0.025, and also there is not possible to calculate asthma incidence rat for the year 2018.

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The result of the carrying out the operation, Add -4(row 1) to row 3, on the given matrix is:

\(\left[\begin{array}{ccc|c}1&2&1&-5\\0&4&-2&3\\0&-9&2&12\end{array}\right]\)

From the question, we are to perform the given row operation on the given matrix

From the given information, the given matrix is:

\(\left[\begin{array}{ccc|c}1&2&1&-5\\0&4&-2&3\\4&-1&6&-8\end{array}\right]\)

We are to carry out the operation

Add -4(row 1) to row 3

This means we should multiply row 1 by -4

-4 × [ 1     2    1   | -5

       -4   -8   -4  | 20

Now, we will add the result to row 3

4    -1     6  |  -8

-4   -8   -4  | 20

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

0    -9    2  |  12

Hence,

The resulting matrix becomes

\(\left[\begin{array}{ccc|c}1&2&1&-5\\0&4&-2&3\\0&-9&2&12\end{array}\right]\)

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