Find the area of the kite 15 and 8

Thus, the coordinates of the image after the dilation with scale factor of 3 is found as: (-9,0), (-18,27), (0,27) and (9,18).

The image's size will depend on the scale factor, which is used to dilate a mathematical entity.

Given data:

vertices of polygon:

(-3, 0), (-6, 0), (0,9) and (3, 6)

Scale factor for dilation = 3.

Multiply each coordinates with 3 to get the coordinates of the image.

(-9,0), (-18,27), (0,27) and (9,18)

Thus, the coordinates of the image after the dilation with scale factor of 3 is found as: (-9,0), (-18,27), (0,27) and (9,18).

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53. tan2x - 1 = 0  

x = 0, 180  

54. tan x + 1 = 0  

x = -1  

55. 2 cos x + V3 = 0  

x = -V3/2  

56. 2 cos x - V3 = 0  

x = V3/2  

57. cot x = 1  

x = 0, 180

58. cot x = -1  

x = 90, 270

59. sin x(1 + 2 cos x) = 0  

x = 0, 180, 360  

60. cos x(1 - 2 sin x) = 0  

x = 0, 90, 270  

61. tan x cos x = tan x  

x = 0, 90, 180, 270  

62. cot2x = 1  

x = 0, 90, 180, 270

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a. After 11 days, approximately 91.91% of the animals will be affected.

b. It will take around 20.83 days for 90% of the animals to become infected. The answer, rounded to two decimal places, is 20.83 days.

A logarithm is defined as the number of powers to which a number must be increased in order to obtain some other numbers. It is the simplest way to express enormous numbers. A logarithm has several key features that demonstrate that logarithm multiplication and division can also be represented in the form of logarithm addition and subtraction.

A) To find the percentage of animals infected after 11 days, we simply substitute t = 11 into the given equation for V(t):

V(11) = 100/ \((1 + 99e^{(-0.186*11)})\)

Using a calculator, we get:

V(11) ≈ 91.91%

Therefore, about 91.91% of the animals will be infected after 11 days.

B) To find the time it takes until exactly 90% of the animals are infected, we need to solve the equation V(t) = 90 for t.

Substituting V(t) into the equation, we get:

90 = 100/ \((1 + 99e^{(-0.186t)})\)

Multiplying both sides by \((1 + 99e^{(-0.186t)})\), we get:

\(90 + 90e^{(-0.186t)} = 100\)

Simplifying, we get:

\(e^{(-0.186t)} = 1/9\)

Taking the natural logarithm of both sides, we get:

-0.186t = ln(1/9)

Solving for t, we get:

t ≈ 20.83 days

Therefore, about 20.83 days will elapse until exactly 90% of the animals are infected. Rounded to 2 decimal places, the answer is 20.83 days.

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Answer:

Step-by-step explanation:

Linda sold 14

John sold 29 which is 14 two times plus one

29+14=43

Answer:

between 10 and 12

Step-by-step explanation:

Given the measure of angles:

m∠B = 70°

m∠C = 60°

m∠A = 50°

Following this information, since the side lengths are directly proportional to the angle measure they see:

Angle B is the largest angle. Therefore, side AC is the longest side of the triangle since it is opposite of the largest angle.

Angle C is the smallest angle, so the side AB is the shortest side.

Therefore, side BC must be between 10 and 12 inches.

Answer:

b

Step-by-step explanation:

Answer: 70,900 Rs

Step-by-step explanation:

  8400

  8000

  2000

 10000

 40000

   3000

+     500

  71900

-    1000

   70900

= 70,900 Rs

Answer:

48(3xy)

Step-by-step explanation:

(4 * 2 * 3)(3xy)2

24(3xy)2

48(3xy)

Answer:

0.72

Step-by-step explanation:

im smart AND i found it online :>

72% as a decimal is 0.72. To find the decimal of any percentage, divide the percentage by 100.

Answer:

0.45

Step-by-step explanation:

Answer:

The answers $45.

33/100=14.85/x

1485/33x= 45

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

= 21/21

= 1

Answer:

90

Step-by-step explanation:

let the number to be found be x then

23 \(\frac{1}{3}\) % of x = 21  ( change mixed number to improper fraction )

\(\frac{\frac{70}{3} }{100}\) x = 21

\(\frac{70}{300}\) x = 21 ( multiply both sides by 300 to clear the fraction )

70x = 6300 ( divide both sides by 70 )

x = 90

Then 23 \(\frac{1}{3}\) % 0f 90 = 21

Answer:

Q. 11 x=29

Q. 12 x=24

Step-by-step explanation:

Q.11

sum of all sides of triangle = 180°

(2x+20)+(x+10)+(2x+5)=180°

5x+35=180°

5x=180°-35

5x=145°

x=145/5

x=29°

Q.12

sum of all sides of triangle=180°

96+(2x)+(x+12)=180°

3x+108=180°

3x=180-108

3x=72

x=72/3

x=24

a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. b)  Guy will pay $4,070 in tax on the $11,000 dividend he received. c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated.

a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. This is because the dividends distributed to shareholders are not deductible expenses for the corporation. Dividends are paid out of after-tax profits and are not considered a deductible expense for the distributing corporation.

b) Guy will pay $4,070 in tax on the $11,000 dividend he received from Marathon Incorporated, including the net investment income tax. To calculate the tax, we need to consider Guy's marginal ordinary tax rate and the net investment income tax. Assuming Guy's marginal ordinary tax rate is 37 percent, the tax on the dividend would be $4,070 (0.37 * $11,000). The net investment income tax is an additional 3.8 percent tax on investment income for individuals with certain income thresholds, so it would also apply to the dividend income received by Guy.

c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated. This is because C corporations are eligible for a 50 percent dividends-received deduction. The dividends-received deduction allows corporations to exclude 50 percent of the dividends received from taxable income. In this case, Little Rock Corporation would be able to exclude $16,500 (50 percent of $33,000) from its taxable income, resulting in a tax liability of $0 on the dividend income.

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Answer:

1 real solution.

Step-by-step explanation:

The solution is the point where the 2 graphs intersect  (close to the point

(4, 3).

The equation have one real solution.

the correct option is (B)

Two or more lines which share exactly one common point are called intersecting lines.

Given:

y = 2x - 5 and y = √{3x - 1}

As seen from the graph the lines of both given equation is intersecting line.

So, the type of lines are intersecting lines.

and, intersecting lines give one real solution where the lines intersect.

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Answer:

okay so Y can be 6

and x can be 3

Step-by-step explanation:

so first 2*x=y

the most most likely answer will be y is 6 and x is 3 because

5*3=15

y=6

15-6=9

so x is 3 and y is 6

Answer:

c

Step-by-step explanation:

i think it's correct and helping you

I believe it is 11/5

Hopefully it's right anyways gl

Answer:

25 Minutes

Step-by-step explanation:

Because 1000 ÷ 40 = 25

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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2.................................

We are asked to derive the integral of the function |3x(3x + 3)sin(4x) dx. The integral can be found by applying integration techniques such as substitution and integration by parts.

To integrate the given function, we can start by applying the product rule for integration, which states that ∫(uv) dx = u∫v dx + ∫u dv. In this case, we have u = |3x(3x + 3) and dv = sin(4x) dx.

Rearranging, we have dx = du/4. Substituting these values, we get ∫sin(4x) dx = ∫sin(u) (du/4) = (1/4)∫sin(u) du = (-1/4)cos(u) + C.

Next, we compute u∫v dx, which gives us |3x(3x + 3) * ((-1/4)cos(u) + C). Simplifying this expression, we have (-3/4)∫x(3x + 3)cos(4x) dx + C.

Finally, we need to find ∫u dv, which involves integrating x(3x + 3)cos(4x) dx. This can be done using the integration by parts technique, where we choose u = x and dv = (3x + 3)cos(4x) dx.

By applying integration by parts, we find that ∫x(3x + 3)cos(4x) dx = (1/4)x(3x + 3)sin(4x) - (1/4)∫(3x + 3)sin(4x) dx.

Substituting this result back into the original expression, we have (-3/4) [(1/4)x(3x + 3)sin(4x) - (1/4)∫(3x + 3)sin(4x) dx] + C.

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Answer: Congruent triangles have congruent corresponding sides.

(Note): This is not the correct answer..This is an Example. :)

Step-by-step explanation: part a) draw two triangles, translating one of them to the right.

part b) Consider triangles ΔYXB and ΔYZA. In these triangles:

∠Y is common, then ∠XYB≅∠ZYA (additional information that is needed);

∠YXB≅∠YZA (given);

XY≅ZY (given).

Therefore, these two triangles have two congruent angles adjacent to congruent sides. By the ASA Postulate, ΔYXB≅ΔYZA.

ASA Postulate: If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the triangles are congruent.

Hope This Was helpful..

Answer:

You could use the ASA theorem to prove that the congruent angles and side are congruent. Or you could use CPCTC which is Corresponding parts of congruent triangles are congruent. By using these two theorems you could prove that these triangles are congruent and not similar.

Step-by-step explanation:

a. The mean is -0.6, the median is 4, and there is no mode in the data set.

b. The range is 15, the variance is 35.2, the standard deviation is approximately 5.93, and the coefficient of variation is approximately -0.988.

c. The Z-scores for the data set are -0.68, -1.69, -0.68, -0.68, and 1.37. There are no outliers as none of the Z-scores exceed the threshold of ±3.

d. The shape of the data set is skewed to the left, indicating a negative skewness.

a. To calculate the mean, we sum up all the values and divide by the sample size:

Mean = (4 - 9 - 4 + 4 + 6) / 5 = -0.6

The median is the middle value when the data is arranged in ascending order:

Median = 4

The mode is the value that appears most frequently, but in this data set, none of the values are repeated, so there is no mode.

b. The range is calculated by finding the difference between the maximum and minimum values:

Range = Maximum value - Minimum value = 6 - (-9) = 15

The variance measures the average squared deviation from the mean:

Variance = ((4 - (-0.6))^2 + (-9 - (-0.6))^2 + (-4 - (-0.6))^2 + (4 - (-0.6))^2 + (6 - (-0.6))^2) / (5 - 1) = 35.2

The standard deviation is the square root of the variance:

Standard Deviation ≈ √35.2 ≈ 5.93

The coefficient of variation is the standard deviation divided by the mean, expressed as a percentage:

Coefficient of Variation ≈ (5.93 / 0.6) × 100 ≈ -0.988

c. The Z-score measures how many standard deviations a data point is away from the mean. To calculate the Z-scores, we subtract the mean from each data point and divide by the standard deviation:

Z1 = (4 - (-0.6)) / 5.93 ≈ -0.68

Z2 = (-9 - (-0.6)) / 5.93 ≈ -1.69

Z3 = (-4 - (-0.6)) / 5.93 ≈ -0.68

Z4 = (4 - (-0.6)) / 5.93 ≈ -0.68

Z5 = (6 - (-0.6)) / 5.93 ≈ 1.37

Since none of the Z-scores exceed the threshold of ±3, there are no outliers in the data set.

d. The shape of the data set can be determined by analyzing the skewness. A negative skewness indicates that the data is skewed to the left, which means that the tail of the distribution extends towards the lower values. In this case, the negative skewness suggests that the data set is skewed to the left.

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Answer:

Exact Area of shaded region = 141.39cm²

Step-by-step explanation:

Quadrant of a circle - Quadrant refers to the four quarters in the coordinate plane system. Each of the four sections is called a quadrant. When it comes to circle, the quarter of a circle is called a quadrant, which is a sector of 90°.

area of circle  =πr²

area of quadrant of a circle = πr²/4

where r is the radius of the circle.

In the given figure there are 2 types of quadrants of circle are present

one with radius AB (bigger )

another with radius AB/2 (smaller)

Now area of quadrant having radius = AB

⇒ π(AB) ²/4

here AB is the side of square

so AB = 12cm

substituting this in the area of quadrant formula

area of bigger quadrant = π(12²)/4

                               area₁ = 144×π/4

                                area₁ = 144×3.142/4

                                area₁ = 113.112cm²

now area of smaller quadrant = π(AB/2) ²/4

                                    area ₂   = π(6) ²/4

                                    area ₂   = 36π/4

                                    area ₂   = 9×π

                                     area ₂  = 28.278cm²

Now it is clear from the given figure,

area of shaded region is =    area₁ -   area₂ +2×area₂

                                         =     113.112cm² -  28.278cm² + 2× 28.278cm²

                                         =     113.112cm² +  28.278cm²

                                         =      141.39cm²   (answer)

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Answer:

StartSet (negative 8, negative 2), (negative 4, 1), (0, negative 2), (2, 3), (4, negative 4) EndSet

Step-by-step explanation:

The function is when there are sets of input and output values given and each input value hem has one corresponding output. Input values are unique but output values can be same for more than one input value.

A.........................................

A 2-column table with 5 rows. The first column is labeled x with entries negative 5, negative 3, negative 3, 0, 5. The second column is labeled y with entries 10, 5, 4, 0, negative 10.

Not a function as input values repeated: negative 3

B.........................................

StartSet (negative 8, negative 2), (negative 4, 1), (0, negative 2), (2, 3), (4, negative 4) EndSet

Yes, it is a function

C.........................................

A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 0, 1. The second column is labeled y with entries negative 3, negative 2, negative 1, 0, negative 1.

Not a function as input values repeated: 0

D.........................................

StartSet (negative 12, 4), (negative 6, 10), (negative 4, 15), (negative 8, 18), (negative 12, 24) EndSet

Not a function as input values repeated: negative 12

So correct one is option B

Answer:

\(\large \boxed{\sf \ \ 70\% \ \ }\)

Step-by-step explanation:

Hello,

We assume that the year is 52 weeks, and we note r the interest rate we are looking for. The rate is expressed in percent and is annually, meaning that the investment is, after the first week :

   \(1000\cdot (1+\dfrac{r\%}{52})=1000\cdot (1+\dfrac{r}{5200})\)

For the second week

   \(1000\cdot (1+\dfrac{r}{5200})^2\)

After 52 weeks

   \(1000\cdot (1+\dfrac{r}{5200})^{52}\)

and we want to be equal to 2000 so we need to solve:

\(1000\cdot (1+\dfrac{r}{5200})^{52}=2000\\\\\text{*** divide by 1000 both sides ***}\\\\(1+\dfrac{r}{5200})^{52}=\dfrac{2000}{1000}=2\\\\\text{*** take the ln **}\\\\52\cdot ln(1+\dfrac{r}{5200})=ln(2)\\\\\text{*** divide by 52 ***}\\\\ln(1+\dfrac{r}{5200})=\dfrac{ln(2)}{52}\\\\\text{*** take the exp ***}\\\\\displaystyle 1+\dfrac{r}{5200}=exp(\dfrac{ln(2)}{52})=2^{(\dfrac{1}{52})}=\sqrt[52]{2}\\\\r = 5200\cdot (\sqrt[52]{2}-1)=69.77875...\)

Rounded to the nearest percent, the solution is 70%.

If you want to double your capital in one year with weekly compounding you need an interest rate of 70% !!

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

4%

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-3x+1=10

-3x=9

x=-3

Answer:

-3

Step-by-step explanation:

-3(-3)+1=10 hope this helped?

Answer: 2/3

Step-by-step explanation:

In the number cube, the possible numbers that can be gotten when it is rolled are 1, 2, 3, 4, 5 and 6.

We should note that when 2 or 4 is not rolled, there'll be 4 other numbers which can be rolled and they're 1, 3, 5 and 6.

Therefore, the probability of not rolling a 2 or 4 on a number cube having sides labeled with numbers 1-6 will be 4/6. This can be further reduced to 2/3