Find the area of shaded region​

Answer:

Alright, we have 4 2/5   /    1/4.

First of all, let's convert the mixed number into an improper fraction.

4 2/5 = 22 / 5

Dividing something by 1/4 is the same as multiplying it by 4.

22 / 5        *        4

This is 88 / 5 :)

Answer:

88/5 = 17 3/5

Step-by-step explanation:

Find the common denominator and simplify. hope it helped.

Answer: To get from the original equation 12x+3=21x-15 to 4x+1=7x-5, Anika likely subtracted 9x from both sides of the equation.

This is because 12x - 9x = 3x and 21x - 9x = 12x, which simplifies the equation to 3x + 3 = 12x - 15.

Then, Anika likely subtracted 3 from both sides to get 3x = -18, which simplifies to x = -6.

Step-by-step explanation:

Step-by-step explanation:

4.1  X 10^2    is    4.1  X 100   =   410

Answer: If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

Step-by-step explanation:

Answer:

<=> y/3 > 1/2 + 3/4

<=> y/3 > 5/4

<=> y > 5/4 / 1/3

<=> y > 15/4

Step-by-step explanation:

Step-by-step explanation:

\($\frac{y}{3}-\frac{3}{4}>\frac{1}{2}\\\)

We can see that the LCM of the denominators is 12, so, by multiplying the whole equation by 12, we can cancel out all of the fractions.

\($\frac{y}{3}(12)-\frac{3}{4}(12)>\frac{1}{2}(12)\)

\(4y-9>6\)

\(4y>15\)

\(y>\frac{15}{4}\)

Answer:

The number of ways in which the digits can be assigned in the color wheel can be determined by the permutation of 8 taken 4 since it is in circular formation and whichever comes first is not important.

number of ways = 9P4 = 3024 ways

Answer:

$895.20

Step-by-step explanation:

The outlier has very little or no effect on the Median

According to About Statistics, a mathematical outlier, which is a value significantly different from the majority of data, generates a skewed or misleading distribution in the mean and range measurements of the central tendency within a data collection. A bias towards the outlier value is mistakenly visible in the impacted mean or range. An outlier has little to no impact on the median and mode values, which represent alternative metrics of central tendency.

Hence, Outliers can and do affect the median, but the median is less liable to be distorted by outliers than the mean.

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(e) The complex number 5+2i in exponential form is (\sqrt{29}e^{i\text{tan}^{-1}\left(\frac{2}{5}\right)}\).
(f) The new period is \(0.31\sqrt{\frac{m}{1.6k}}\) when the spring constant is increased by 60%.

(e) To convert a complex number to exponential form, we need to determine its magnitude and argument. For the complex number 5+2i, the magnitude is given by the formula \(A = \sqrt{{\text{Re}}^2 + {\text{Im}}^2}\) where Re and Im represent the real and imaginary parts, respectively. In this case, the magnitude is \(\sqrt{5^2 + 2^2} = \sqrt{29}\).

The argument, \(\theta\), can be found using the formula \(\theta = \text{tan}^{-1}\left(\frac{{\text{Im}}}{{\text{Re}}}\right)\). For 5+2i, the argument is \(\text{tan}^{-1}\left(\frac{2}{5}\right)\).

Thus, the complex number 5+2i in exponential form is \(Ae^{i\theta} = \sqrt{29}e^{i\text{tan}^{-1}\left(\frac{2}{5}\right)}\).



(f) The period of a spring-mass system is determined by the mass and the spring constant. If the spring constant is increased by 60%, we can calculate the new period using the formula \(T' = T\sqrt{\frac{m}{k'}}\).

Given the original period \(T = 0.31\) seconds and an increase in the spring constant by 60%, we have \(k' = 1.6k\) where \(k\) is the original spring constant.

Substituting the values into the formula, the new period is \(T' = 0.31\sqrt{\frac{m}{1.6k}}\).

Increasing the spring constant causes the spring to become stiffer, resulting in a shorter period. The new period, \(T'\), will be less than the original period \(T\) due to the increased stiffness of the spring.

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There is sufficient evidence to believe that the number of household pets leaving the shelter over the weekend is different from the proportion of wildlife animals leaving the shelter over the weekend.

To determine if there's sufficient evidence,

Let us define the null and alternative hypotheses for this test as follows:

Null hypothesis (H0): The proportion of household pets leaving the shelter over the weekend is the same as the proportion of wildlife animals leaving the shelter over the weekend.

Alternative hypothesis (Ha): The proportion of household pets leaving the shelter over the weekend is different from the proportion of wildlife animals leaving the shelter over the weekend.

The test statistic for two sample test is given by:

z = (p1 - p2) / sqrt(p * (1 - p) * (1/n1 + 1/n2))

where

p1 and p2 are the proportions of household pets and wildlife animals leaving the shelter over the weekend, respectively,

p is the pooled proportion,

n1 and n2 are the sample sizes for household pets and wildlife animals, respectively.

Pooled proportion is

p = (x1 + x2) / (n1 + n2)

where x1 and x2 are the number of household pets and wildlife animals leaving the shelter over the weekend, respectively.

Given

-n1 = 376, n2 = 52, x1 = 29, x2 = 10

p = (29 + 10) / (376 + 52) = 0.091

The observed proportions are:

p1 = x1 / n1 = 29 / 376 = 0.0771

p2 = x2 / n2 = 10 / 52 = 0.1923

The test statistic value

z = (0.0771 - 0.1923) / sqrt(0.091 * (1 - 0.091) * (1/376 + 1/52)) = -3.04

By using a standard normal distribution table,

The p-value is 0.00238.

Since the p-value (0.00238) is less than the level of significance (0.01), we reject the null hypothesis and conclude that there is sufficient evidence to indicate a difference in the number of animals leaving the shelter over the weekend for household pets and wildlife animals.

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Answer:

x = 96

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, add 4 to both sides:

(1/3)x - 4 (+4) = 28 (+4)

(1/3)x = 28 + 4

(1/3)x = 32

Next, multiply 3 to both sides:

(3)(1/3)x = (32)(3)

x = 32 * 3

x = 96

x = 96 is your answer.

~

Answer:

96=x

Step-by-step explanation:

Add 4 to each side

1/3x= 32

multiply 3 on each side to cancel out the fraction

x=96

Answer:

The volume will be multiplied by 8.

Step-by-step explanation:

If the sides are doubled, what is going to happen to the volume? First, let's find out what the initial volume is first!

The side lengths are 2 meters. With squares/cubes, all sides are equal.

So, the length, height, and width are the same.

For the volume, we need to multiply those values.

2*2*2=8 meters

That's the initial volume.

Now, let's find out what the volume will be once we've double the side values.

2*2=4

The side values are now four.

Let's multiply!

4*4*4=64 meters

It looks like the volume multipled by eight fold.

The expression which represents either the length or width is (x+3). The correct answer is option (c).

Given that the area of a rectangle which is given as x²+5x+6.

We have to find which expression represents either the length or width.

We are given an expression for the area. But we also know that the area of a rectangle is length times width. So the expression we were given, x²+5x+6 must be equal to the length of the rectangle times its width.

So, will find the factoring the expression we can see expressions for the length and the width.

Factoring x²+5x+6 we get (x+2)(x+3).

One of these factors is the width and the other is the length.

Hence, the expression represents either the length or width of the rectangle when the area of a rectangle is given as x²+5x+6 is (x+3).

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Answer:

256b^4

Step-by-step explanation:

4b^2*4b16b

4b^2*64b^2

256b^4

Answer:

dilation is size

Step-by-step explanation:

Answer:

1 remainder 13

Step-by-step explanation:

:)

Therefore , the solution of the given problem of linear equation comes out to be she took 3 days , 5 days and 7 days respectively.

The formula y=mx+b serves as the basis for a linear curve of regression. m is the y-intercept, while B is the slope. Despite the fact that y and y are independent elements, the preceding sentence is usually referred to as a "math equation with two variables." Bivariate linear equations have just two variables in them. Application problems involving linear equations have no known solutions.

Here,

Given :

y= total days

where x is the days she took to do the assignments

=> y = 2x + 3

At x = 0.

=> y = 2(0) + 3 = 3

At x = 1

=> y = 2(1) + 3 = 5

At x =2

=> y = 2(2) + 3 = 7

Therefore , the solution of the given problem of linear equation comes out to be she took 3 days , 5 days and 7 days respectively.

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The correct statement about coping strategies is: An effective coping strategy is any strategy that reduces stress.

The correct option is B .

Coping strategies are techniques or actions that individuals use to manage or deal with stressful situations. Different strategies work for different people, so there isn't a one-size-fits-all approach. However, an effective coping strategy is any strategy that successfully reduces or manages stress.

Some examples of effective coping strategies include deep breathing exercises, engaging in physical activity or exercise, seeking support from friends or family, practicing mindfulness or meditation, and engaging in hobbies or activities that bring joy and relaxation.

It's important to note that while ineffective coping strategies may not completely eliminate stress, they can still provide temporary relief or distraction. However, it is generally recommended to focus on developing and using effective coping strategies that can effectively reduce stress and promote overall well-being.

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An effective coping strategy is any strategy that reduces stress.

The true statement about coping strategies is that an effective coping strategy is any strategy that reduces stress.

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Answer:

3.50x+2.00y ≥ 120

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

To test the belief that the average tenure of a U.S. worker is 4.6 years, we can conduct a one-sample hypothesis test. Let's define the null hypothesis (H₀) and the alternative hypothesis (H₁):

H₀: The average tenure of a U.S. worker is 4.6 years.

H₁: The average tenure of a U.S. worker is not equal to 4.6 years.

To perform this test, we need a sample of worker tenures. We can collect data on the tenure of a representative sample of U.S. workers. Once we have the data, we can use Excel to calculate the necessary statistics and conduct the hypothesis test.

In Excel, we can use the T.TEST function to perform the one-sample t-test. The function takes the sample data, the expected mean (4.6 years), and the type of test (two-tailed in this case). It returns the p-value, which represents the probability of obtaining a sample mean as extreme as the one observed, assuming the null hypothesis is true.

We compare the p-value to a predetermined significance level (e.g., α = 0.05) to determine if we reject or fail to reject the null hypothesis. If the p-value is less than α, we reject the null hypothesis and conclude that the average tenure is significantly different from 4.6 years. Otherwise, if the p-value is greater than α, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a significant difference.

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Answer:

x ≥ 5, 8.25x + 10 = 175, and x = 20 hours.

Step-by-step explanation:

Let Lin works x hours per week.

Now given that Lin’s job pays $8.25 an hour plus $10 of transportation allowance each week.

And she has to work at least 5 hours a week to $175 per week.

So, the inequality that can be written from the above condition is x ≥ 5 .......(1)

And the equation that can be written that  

8.25x + 10 = 175 ....... (2)  

Now, fro equation (2) we can write x = 20 hours which satisfies equation (1).

The inequality of the situation is x ≥ 5, 8.25x + 10 = 175, and x = 20 hours.

When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.

Let Lin work x hours per week. Now given that Lin’s job pays $8.25 an hour plus $10 of transportation allowance each week.

And she has to work at least 5 hours a week for $175 per week.

So, the inequality that can be written from the above condition is,

x ≥ 5 .......(1)

And the equation that can be written that  

8.25x + 10 = 175 ....... (2)  

Therefore,  the inequality of the situation is x ≥ 5, 8.25x + 10 = 175, and x = 20 hours.

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Answer:

1

Step-by-step explanation:

Given,

Mass ( m ) = 500 g

Volume ( V ) = 500 ml

To find : Density ( D ) = ?

Formula : -

D = m / V

D = 500 / 500

D = 1 g/ml

Hence,

1 g/ml is the density of a substance that has a mass of 500 g and a volume of 500mL.

Answer:

Sweet and Sour Company

Step-by-step explanation:

$24/4 gallons=$6/gallon

$16/8 quarts       (divide by 4 cause there's 4 quarts per gallon)=$8/gallon

Answer: Sweet and Sour company is right

Step-by-step explanation:

Answer:

(4,5)

Explanation: 9-5=4, 4+1=5

Answer:

Step-by-step explanation:

The length of the base is 3 feet and the height of the triangle is 6 feet.

Triangle is a shape made of three sides in a two-dimensional plane. the sum of the three angles is 180 degrees. The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the triangle in a two-dimensional plane is called the area of the triangle.

Given that the height of a triangle is 3 feet greater than the base. The area of the triangle is 54 square feet.

The dimensions of the triangle will be calculated as,

A = (1/2)  x b x h

A = (1/2) x b x ( b + 3 )

54 = ( 1 / 2 ) x ( b² + 3b )

108 =  ( b² + 3b )

( b² + 3b - 108) = 0

( b² + 12b -3b -108 ) = 0

(b - 3 ) ( b+ 12 ) = 0

b = 3 and b = -12 ignore negative value.

The height will be calculated as,

h = b + 3

h = 3 + 3

h = 6 feet

Therefore, the length of the base is 3 feet and the height of the triangle is 6 feet.

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Answer:

(2, 4)

Hope this helps! Brainliest would be really appreciated!

Answer:

a

Step-by-step explanation:

the protractor measure angle up to 90° and more