I need help, pls and thx

To find the area of an irregular shape (in general)

 ⇒ is best to split it into different regular shapes

   ⇒ (in this case), let's split into a half-circle and a square

Area of the half-circle:

 ⇒ half the area of a circle (\(\pi r^2\))

     ⇒ Area of half-circle = \(\frac{1}{2}\pi r^2\)

    Area of Half Circle = \(\frac{1}{2}\pi (8.5)^2 = 113.5m^2\)

Area of square

  ⇒ length * width

     ⇒ Area of Square = 17 * 17 = 289\(m^2\)

Total Area = 113.5 + 289 = 402.5 ≈ 402\(m^2\)

Hope that helps!

Answer:

b

Step-by-step explanation:

Answer: B <S

Step-by-step explanation:

Answer:

Step-by-step explanation:

hi

Answer:

about 3.6 butterflies (round up if needed to 4)

Step-by-step explanation:

If you have 10 flowers, and 36 butterflies, then to find out how many butterflies on each flower, divide 36 butterflies among 10 flowers (\(36/10\))

This will give you 3.6 butterflies per flower.

Now, we know you can't have 3.6 butterflies (it's either 3 or 4), but this is just a mathematical prediction, so it just says that if you could have less than a whole butterfly, that's how it would work

Answer: \(33.56^{\circ}\)

Step-by-step explanation:

\(\sin \alpha=\frac{\sqrt{11}}{6}}\\\\\alpha=\sin^{-1} \left(\frac{\sqrt{11}}{6}} \right)\\\\\alpha \approx 33.56^{\circ}\)

Answer:

33.56

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

-3510? + 301590

Step-by-step explanation:

simplify the expression

270(−13?+1117)

apply distributive property

270(−13?)+270⋅1117

Answer:

80 percent

Step-by-step explanation:

Dvide 300 by 240 which gives you 80 percent the amount of students that atended.

Answer:

80%

Step-by-step explanation:

240/300=.8

.8=80%

the x- intercept is 4, and this graph goes -2,2:4,4: and -3,2

The area οf the given figure is 44.5 cm²

A cοmpοsite figure is a shape made up οf twο οr mοre simple shapes, such as triangles, rectangles, circles, οr pοlygοns, that are cοmbined οr intersected tο create a new shape.

Tο find the area οf the given figure find the area οf individual parts rectangle and triangle.

Here we have

A cοmpοsite figure fοrmed by οne rectangle and οne triangle

Frοm the figure dimensiοns οf the rectangle are 3 × 9 cm

Since the οppοsite sides οf the rectangle are equal take the missing side οf the rectangle as 3 cm

Area οf the rectangle = Lenght × Width

= 3 cm × 9 cm = 27 cm²

Given the height οf the triangle as 5 cm

Base οf triangle = (2 + 3 + 2) cm = 7 cm

Hence, Area οf the triangle = 1/2(5) × (7) = 17.5 cm²  

Here area οf the cοmpοsite figure = Area οf rectangle + Area οf triangle

= 27 cm² + 17.5 cm²

= 44.5 cm²

Therefοre,

The area οf the given figure is 44.5 cm²  

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Answer:

113

Step-by-step explanation:

127 - 2(3+4)

127 - 2(7)

127-14

113

The correct sampling method described in the question is a stratified random sample among the simple random sample,  stratified random sample, cluster random sample and  Voluntary random sample

The sampling method described in the question is a stratified random sample.

In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.

In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.

Other sampling methods mentioned in the question are:

Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.

Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.

Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.

Therefore, the correct sampling method described in the question is a stratified random sample.

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Given:

Find: the leading term for p(t) and q(t)

Explanation:

leading degree in p(t) is 5 and leading term in p(t) is -8.

leading degree in q(t) is 4 and leading term in q(t) is 9.

Final answer: the required answer is

To evaluate the expression \(\displaystyle\sf \frac{3}{7} + \frac{-4}{9} - \frac{-11}{7} - \frac{7}{9}\), we can follow these steps:

Step 1: Find a common denominator for all the fractions. In this case, the common denominator is 63, which is the least common multiple of 7 and 9.

Step 2: Convert all the fractions to have the common denominator of 63.

\(\displaystyle\sf \frac{3}{7} = \frac{3 \times 9}{7 \times 9} = \frac{27}{63}\)

\(\displaystyle\sf \frac{-4}{9} = \frac{-4 \times 7}{9 \times 7} = \frac{-28}{63}\)

\(\displaystyle\sf \frac{-11}{7} = \frac{-11 \times 9}{7 \times 9} = \frac{-99}{63}\)

\(\displaystyle\sf \frac{7}{9} = \frac{7 \times 7}{9 \times 7} = \frac{49}{63}\)

Step 3: Substitute the converted fractions back into the original expression and simplify:

\(\displaystyle\sf \frac{27}{63} + \frac{-28}{63} - \frac{-99}{63} - \frac{49}{63}\)

Combining the numerators over the common denominator:

\(\displaystyle\sf \frac{27 - 28 + 99 - 49}{63}\)

Simplifying the numerator:

\(\displaystyle\sf \frac{49}{63}\)

The resulting fraction is already in simplest form. Therefore, the expression \(\displaystyle\sf \frac{3}{7} + \frac{-4}{9} - \frac{-11}{7} - \frac{7}{9}\) evaluates to \(\displaystyle\sf \frac{49}{63}\).

Answer:

After a reflection on the x-axis:

W(-2, 2)

X(3, -1)

Y(5, 1)

Z(4, 6)

The numbers on the left will be the same when flipping on the x-axis but numbers on the right will be flipped from negative to positive or positive to negative.

Answer:

if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.

Step-by-step explanation:

The value of variable x is,

⇒ x = - 3/2

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Two functions are;

⇒ f(x) = (2x+5)/8 and g(x) = 3x - 4.

Here, The inverse of (fog)(x) is an identity function,

Hence, We get;

⇒ (f o g) (x) = f (g (x))

                 = f (3x- 4)

                 = [ 2 (3x - 4) + 5 ] / 8

                 = (6x - 8 + 5) / 8

                 = (6x - 3) / 8

Thus, The inverse of (fog)(x) is,

⇒ (f o g) (x) = (6x - 3) / 8

⇒ y = (6x - 3) / 8

Solve for x;

⇒ 8y = 6x - 3

⇒ 8y + 3 = 6x

⇒ x = (8y + 3) / 6

⇒ (f o g)⁻¹ (x) = (8x + 3) / 6

Here, The inverse of (fog)(x) is an identity function, \

Hence, We get;

⇒ (f o g)⁻¹ (x) = x

⇒ (8x + 3) / 6 = x

⇒ 8x + 3 = 6x

⇒ 8x - 6x = - 3

⇒ 2x = -3

⇒ x = - 3/2

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Thus, the adjugate of the given matrix is [ d -c ] [ -b a ]. And the adjugate of a given matrix A, we can follow these steps:  Find the determinant of the matrix A., Take the cofactor of each element of A., and Transpose of the matrix formed in Step 2 to get the adjugate of A

The adjugate of the given matrix is as follows:

The matrix given is  [ a b ] [-c d ]

Let A be a square matrix of order n, then its adjugate is denoted by adj A and is defined as the transpose of the cofactor matrix of A.

For a square matrix A of order n, the transpose of the matrix obtained from A by replacing each element with its corresponding cofactor is called the adjoint (or classical adjoint) of A. The matrix is shown as adj A.

To find the adjugate of a given matrix A, you can follow these steps:

Step 1: Find the determinant of the matrix A.

Step 2: Take the cofactor of each element of A.

Step 3: Transpose of the matrix formed in Step 2 to get the adjugate of A.

The given matrix is  [ a b ] [-c d ]

Step 1: The determinant of the matrix is (ad-bc).

Step 2: The cofactor of the element a is d. The cofactor of the element b is -c. The cofactor of the element -c is -b. The cofactor of the element d is a.

Step 3: The transpose of the cofactor matrix is the adjugate of the matrix. So the adjugate of the given matrix is [ d -c ] [ -b a ]

Thus, the adjugate of the given matrix is [ d -c ] [ -b a ].

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The sample mean variance of the continuous distribution will be 0.3428.

The population variance is equal to the sample size divided by the variance of the sampling distribution of the mean.

14 is the greatest and 1 is the smallest value in a uniform continuous distribution.

36-size samples are taken from the distribution.

Now,

Variance among the population = 14 – 2 = 12

The sample size is 36.

Given that the sample means' variance is defined as;

= Variation in the population / Sample Size

If you replace all the values, you get;

= 12 / 35

= 0.3428

As a result, the sample mean variance will be 0.3428.

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Numbers can be ordered in ascending or descending order.

The length of fishes from greatest to least is

Given

\(Emma = 12.7\)

\(Anne = 12 \frac 35\)

\(Emily = 12 \frac 34\)

Convert all fractions to decimals

\(Emma = 12.7\)

\(Anne = 12.6\)

\(Emily = 12.75\)

Arrange from greatest to least

\(Emily = 12.75\)

\(Emma = 12.7\)

\(Anne = 12.6\)

Hence, the length of fishes from greatest to least is

\(Emily = 12 \frac 34\)     \(Emma = 12.7\)       \(Anne = 12 \frac 35\)

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Answer:

7

Step-by-step explanation:

The general solution to the differential equation y' - 2y + 3e^t = 0 is: y = Ce^(2t) - e^t.  As t approaches infinity, the solution approaches infinity because the dominant term in the solution is e^(2t).

The given differential equation is:

y' - 2y + 3e^t = 0

We can first find the homogeneous solution by setting the right-hand side equal to zero:

y' - 2y = 0

This is a separable differential equation that can be solved by separating variables:

dy/y = 2dt

Integrating both sides, we get:

ln|y| = 2t + C

where C is an arbitrary constant. Solving for y, we get:

y = Ce^(2t)

This is the general solution to the homogeneous equation.

Now, we need to find a particular solution to the non-homogeneous equation. Since the non-homogeneous term is a constant times e^t, we can guess a particular solution of the form:

y_p = Ae^t

where A is a constant. Substituting this into the original equation, we get:

Ae^t - 2Ae^t + 3e^t = 0

Simplifying, we get:

A = -1

Therefore, the particular solution is:

y_p = -e^t

The general solution to the non-homogeneous equation is the sum of the homogeneous solution and the particular solution:

y = Ce^(2t) - e^t

To determine how solutions behave as t approaches infinity, we can analyze the behavior of the exponential terms. Since e^(2t) grows much faster than e^t, the dominant term as t approaches infinity is e^(2t). Therefore, the solution approaches infinity as t approaches infinity.

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The sample size increases, the probability of obtaining a sample mean less than 3500 decreases. The mean of the sample mean distribution is equal to the population mean, which is 7500.

a) The probability that, on a single test, x is less than 3500 can be calculated using the standard normal distribution. We need to standardize the value using the z-score formula: z = (x - μ) / σ. Substituting the given values, we get z = (3500 - 7500) / 1750 ≈ -2.286.

Using a standard normal distribution table or a calculator, we can find the probability associated with a z-score of -2.286. The probability is approximately 0.0116, or 1.16%. Therefore, there is a 1.16% chance that a single test result will be less than 3500, indicating leukopenia.

(b) When the doctor uses the average x (sample mean) for two tests taken about a week apart, the probability distribution of x (sample mean) follows a normal distribution. The mean of the sample mean distribution is equal to the population mean, which is 7500. The standard deviation of the sample mean distribution is equal to the population standard deviation divided by the square root of the sample size. In this case, the sample size is 2.

The probability distribution of x (sample mean) < 3500 can be calculated by standardizing the value using the z-score formula and then finding the corresponding probability from the standard normal distribution table or a calculator. With two tests, the probability distribution will be narrower compared to a single test. The exact probability depends on the specific value of the sample mean and the standard deviation of the sample mean distribution.

(c) When considering three tests taken a week apart, the process is similar to part (b). The mean of the sample mean distribution remains the same at 7500, but the standard deviation of the sample mean distribution is now divided by the square root of 3, since the sample size is 3. As the sample size increases, the standard deviation of the sample mean distribution decreases, resulting in a narrower distribution.

The probability distribution of x (sample mean) < 3500 can be calculated using the z-score formula and finding the corresponding probability from the standard normal distribution table or a calculator. With three tests, the probability distribution will be even narrower compared to two tests.

In summary, as the sample size increases, the probability of obtaining a sample mean less than 3500 decreases. With more tests, we can have greater confidence in the accuracy of the sample mean and draw stronger conclusions about the individual's condition. If a person had a sample mean less than 3500 based on three tests, it would indicate a higher level of certainty about the presence of leukopenia, potentially leading to further investigation or treatment options.

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The total number of ways to line up the 10 members without restrictions. This is 10! (10 factorial) ways.

There are 9! ways for the president and VP to be together. So, there are (10! - 9!) ways for them to be not together.
The VP not being in the leftmost position, there are 9 positions left for the VP.

The remaining members can be arranged in 9! ways. So, there are (9 * 9!) ways for this condition.

The VP not being at either end, there are 8 positions left. The remaining members can be arranged in 9! ways. So, there are (8 * 9!) ways for this condition.

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No, it does not make any sense to say that the density of helium is  0.1785 kilograms per square meter.

No, it does not make any sense to say that the density of helium is  0.1785 kilograms per square meter.

The reason why it doesn't make sense is because density of helium, and all the rest of the chemical elements are calculated as;

Density = mass/volume

where;

mass is measured in kilograms.

volume is measured in cubic meter.

Thus, the density of the helium should be expressed as 0.1785 kilograms per cubic meter.

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The Pythagorean theory can be used to plot irrational numbers on a number line and this is explained below.

To plot an irrational number, say √2, on a number line using Pythagorean theory, we first draw a right triangle with one leg measuring 1 and the hypotenuse measuring √2 (the irrational number we want to plot). Using Pythagorean theory, we can calculate the length of the other leg to be √(√2² - 1²) = √(2 - 1) = √1 = 1.

Next, we place the right triangle on the number line with the shorter leg starting at 0 and the hypotenuse ending at √2. We can then mark off a point at 1 along the number line, corresponding to the length of the other leg of the triangle.

By repeating this process, we can plot other irrational numbers on the number line using Pythagorean theory.

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Answer:

you need to learn how to "prime factor" numbers....

primes are 2,3,5,7,11,13,17....

they go on forever. ALL whole numbers can be "broken down" into a bunch of primes multiplied together.

take the fractions (top and bottom) and start dividing them bu the smallest prime, and going up until all the numbers multiplied make the original number...

15 = 3 * 5

24= 2 * 12 = 2 * 2 * 6 = 2* 2* * 2 * 6

thus   \(\frac{15}{24}\) = \(\frac{3 * 5 }{2* 2* 2* 3}\)  now just cancel all the SAME numbers from to to bottom

"pair them up" .... in this case only one of the threes in the bottom "takes out" one of the threes in the top

result \(\frac{5}{2*2*2 } = \frac{5}{8}\)

~~~~~~~~~~~~~~~~~~~~

\(\frac{21}{35}\)

21= 3 * 7

35= 5* 7

\(\frac{3*7}{5*7} = \frac{3}{5}\)

Step-by-step explanation:

Answer:

Divide Using Synthetic Division.

Step-by-step explanation:

Given: x=5 and y=6

=>4x2+3y

=> 8+3(6)

=> 8+18

=> 26

Hope it helps

The value of this expression is 58

Algebraic expression is a mathematical sentence that involves all mathematical operations.

In an algebra - a real number is always accompanied by some letter, which can represent a variable or unknown.

— To solve this expression, just: change the letters for the numbers and multiply/add.

⚘ Resolution

\(\large \sf 4x2+3y\)

\(\large \sf 4 \cdot 5 \cdot 2 +3 \cdot 6\)

\(\large \sf 40 +18\)

\(\red{\boxed{\boxed{\green{\large \sf \ 58 \ }}}}\\\)

Therefore, the value of this expression will be 58

The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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