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1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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The ∆ABC is an isosceles triangle and have the base angles m∠A and m∠C equal to 51° and the angle m∠B is equal to 78°.

An isosceles triangle have the measure of its base angles to be equal, and the sum of the interior angles sum up to 180°.

Given that sides AB ≅ BC, then the triangle ∆ABC has two sides with similar length and base angles so;

angles m∠A and m∠C are the base angles are both equal to 51°

m∠B = 180° - (51 + 51)° {sum of interior angles of a triangle}

m∠B = 180° - 102°

m∠B = 78°

Therefore, the isosceles triangle ∆ABC have the base angles m∠A and m∠C equal to 51° and the angle m∠B is equal to 78°.

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f(x) is increasing on the intervals (−∞, π/4) and (5π/4, ∞), and decreasing on the interval (π/4, 5π/4).

To determine the intervals on which f(x) = 3sin(x) + 3cos(x) is increasing and decreasing, we need to find the derivative of f(x) and examine its sign.

f'(x) = 3cos(x) - 3sin(x)

To find where f'(x) = 0, we set the derivative equal to zero and solve:

3cos(x) - 3sin(x) = 0

cos(x) - sin(x) = 0

From this equation, we can see that it is satisfied when x = π/4 and x = 5π/4.

Now, we analyze the sign of f'(x) in different intervals:

For x < π/4: f'(x) > 0, so f(x) is increasing.

For π/4 < x < 5π/4: f'(x) < 0, so f(x) is decreasing.

For x > 5π/4: f'(x) > 0, so f(x) is increasing.

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The maximum area of the garden is obtained when the length (L) and width (W) are both 25 meters. The corresponding dimensions for the maximum area are a square-shaped garden with sides measuring 25 meters.

To find the maximum area of the garden, we need to determine the dimensions of the rectangle that would maximize the area while using a total of 100 meters of fencing.

Let's assume the length of the rectangle is L and the width is W.

Given that the garden is surrounded by 100 meters of fencing, the perimeter of the rectangle would be:

2L + 2W = 100

Simplifying the equation, we get:

L + W = 50

To find the maximum area, we can express the area (A) in terms of a single variable. Since we know the relationship between L and W from the perimeter equation, we can rewrite the area equation:

A = L * W

Substituting the value of L from the perimeter equation, we get:

A = (50 - W) * W

Expanding the equation, we have:

A = 50W - W^2

To find the maximum area, we can take the derivative of A with respect to W and set it equal to 0:

dA/dW = 50 - 2W = 0

Solving the equation, we find:

2W = 50

W = 25

Substituting the value of W back into the perimeter equation, we find:

L + 25 = 50

L = 25

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Answer:

2 hours and 24 minutes.

To solve this problem, you can use proportions:

Let x be the total number of items on the math test.

Since Xian got 95% of the math test correctly, he got 0.95x items correct.

We know that Xian got 38 items correct, so we can set up the following proportion:

0.95x = 38

To solve for x, we can divide both sides by 0.95:

x = 38 / 0.95

x = 40

Therefore, the math test has 40 items.

1.Let x be the total number of items on the math test.

2.Xian got 95% of the math test correctly, so he got 0.95x items correct.

3.We know that Xian got 38 items correct, so we can set up the following equation:

0.95x = 38

4.To solve for x, we can divide both sides by 0.95:

0.95x / 0.95 = 38 / 0.95

5.This simplifies to:

x = 40

Therefore, the math test has 40 items.

So, the answer is that the math test has 40 items. You can check this by multiplying 0.95 (or 95%) by 40 to get the number of items Xian got correct, which should be 38.

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Step-by-step explanation:

(1a-4) * (2a+5)

2a+5a-8a-20

-1a-20

Answer:

\(4x^{2} =36\)

Step-by-step explanation:

Answer:

Koichi was here

Step-by-step explanation:

If the front wheels have made 10 more revolutions than the back wheels, the truck travels 360 cm.

Given that The front and back wheels of a toy truck are 9 cm and 12 cm in circumference respectively.

Let the one revolution of wheel be "R"

So, the Rear wheels revolution = 12R

and the Front = 9(R+10)

Thus, revolution of both wheels should be comparatively equal :-

So, 12R = 9(R+10)

12R = 9R + 90

3R = 90

R= 90/3

R = 30 cm

The value of one revolution would be 30cm.

Distance travelled by truck would be distance travelled by wheels = 12 × 30 = 360 cm

So, the distance travelled by truck would be 360cm.

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Using a standard normal distribution table, the probability that the average daily revenue of the sample is lower than $2580 is approximately 0.9965 or 99.65%.

To calculate the probability that the average daily revenue of the sample is lower than $2580, we can use the Central Limit Theorem, assuming that the daily revenue follows a normal distribution.

The mean of the sample distribution of the average daily revenue can be approximated as the same as the population mean, which is $2500.

The standard deviation of the sample distribution, also known as the standard error of the mean, can be calculated by dividing the population standard deviation by the square root of the sample size. In this case, the sample size is 100.

Standard error of the mean = population standard deviation / sqrt(sample size)

Standard error of the mean = $300 / sqrt(100)

Standard error of the mean = $300 / 10

Standard error of the mean = $30

Now we can calculate the z-score, which measures the number of standard deviations a value is away from the mean. We use the formula:

z = (x - μ) / σ

where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.

z = ($2580 - $2500) / $30

z = $80 / $30

z ≈ 2.67

We can now use a standard normal distribution table or a statistical calculator to find the probability associated with a z-score of 2.67. This probability corresponds to the area under the curve to the left of the z-score.

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Answer:

a letter

Step-by-step explana

Answer:

B

Step-by-step explanation:

During the change-of-shift report, you would provide an SBAR (Situation, Background, Assessment, Recommendation) framework report to the oncoming nurse for A.B., a 68-year-old man admitted with pleural effusion and pneumonia.

In the Situation section, you would start by stating that A.B., a 68-year-old man, was admitted with pleural effusion and pneumonia. You would mention his presenting symptoms of shortness of breath, chest pain, weakness, and a dry, irritating cough. Provide the vital signs: blood pressure 142/82 mmHg, heart rate 118 beats per minute, respirations 38 breaths per minute (labored and shallow), temperature 102.1°F (38.9°C), and Spo2 of 85% on room air.

In the Background section, you would mention that a thoracentesis was performed, draining 1500 mL of fluid, and a specimen for culture and sensitivity (C&S) was sent to the lab. Explain that A.B. was started on ceftriaxone 500 mg IV every 12 hours, but the pleural C&S results showed a large amount of Klebsiella organism growth that is not sensitive to ceftriaxone.

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The correlation values that represent the perfect linear relationship between x and y are = b) 1 and d) -1

Now first we need to understand what is meant by correlation,

The mutual relation or degree to which two or more quantities are mutually linear or related to each other, hence their degree or relation of correlation is qualified by correlation coefficient.

According to the question we need to find the correlation value that represents a perfect linear relationship between x and y

Since we know according to the definition of correlation, the perfect linear relationship between x and y could be represented if their magnitude is 1.

Both positive and negative values of magnitude 1 (i.e 1 and -1)  are defined as the linear relationship between x and y.

Therefore, The correlation values that represent the perfect linear relationship between x and y are both 1 and -1

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Answer:

2x<10 is basically x<5

Step-by-step explanation:

You divide both sides by 2 to isolate x and since 2 is not negative it doesn't change the sign.

The simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

The question is incomplete.

The complete question is attached in the picture, please refer picture.

We have an expression:

\(= \rm \dfrac{\left(14x^4y^6\right)}{\left(7x^8y^2\right)}\)

\(\rm =\dfrac{7\cdot \:2x^4y^6}{7x^8y^2}\)

\(\rm =\dfrac{2x^4y^6}{x^8y^2}\)

\(\rm =\dfrac{2y^4}{x^4}\)

Thus, the simplification form of the provided expression is 2y⁴/x⁴ option (A) 2y⁴/x⁴ is correct after applying the integer exponent properties.

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Answer:

A

Step-by-step explanation:

imagine explaining

Answer: 37.98 (I assume you mean times)

Step-by-step explanation:

Calculator :)

Answer:

22 divided by a number s

Step-by-step explanation:

\( \frac{22}{s} \)

Answer:

3 tan theta=root 3

tan theta=root 3/3

tan theta=0.57

Step-by-step explanation:

Answer:

you would have to get a 100 on your fifth test

Step-by-step explanation:

because between your first 4 tests, the average is only 87 something but when you add 100 to that, the average turns to 89.6 which when rounded becomes 90.

Answer: 76%

Step-by-step explanation: To solve this percentage problem you must use this formula \(Amount/Total * 100\). The amount in this case it the 5320 jars of creamy peanut butter and the total is the sum of the creamy and chunky peanut butter.

\(5320/(5320+1680)\) * 100 is the setup

which equals

0.76 * 100

which is 76%

Answer:

x = 1953125

Step-by-step explanation:

log x - log 5^3 = 2 log 5^3

log x - 3 log 5 = 6 log 5

log x = 9 log 5 = log 5^9

x = 5^9

 x = 1953125

Answer:

Circunferencie can be writen also as a fuction of the diameter of the circle

C = pi*D

Where

D = circunferene diameter

Step-by-step explanation:

C = 2.pi.R = 2.R.pi

In a circle 2.R = D

So,

C = pi.D

The value of f'(0) for the function f(x) = (2x + 1)²n(6x + 6) is D. 1 + ln(6) + ln(6)².The limit of (/3 - tan(x)) as x approaches infinity is B. [infinity].

The derivative of g(x) = 2ln(e²³x⁵) is F. (4x³ + x⁴)\(e^x.\)

Given f(3) = 2 and the equation 2xf(x) + cos(f(x) - 2) = 13, the value of f'(3) is A. f'(3) = 3/2.

To find f'(0), we apply the chain rule. The derivative of (2x + 1)² is 2(2x + 1)(2), which simplifies to 4(2x + 1). The derivative of (6x + 6) is 6. Evaluating f'(0), we have:

f'(0) = 4(2 * 0 + 1)ln(6 * 0 + 6) = 4ln(6) = 1 + ln(6) + ln(6)².

The limit of (/3 - tan(x)) as x approaches infinity can be determined by analyzing the behavior of the tangent function. As x approaches infinity, tan(x) oscillates between -∞ and +∞, and therefore (/3 - tan(x)) approaches infinity. Hence, the limit is B. [infinity].

To find the derivative of g(x) = 2ln(e²³x⁵), we apply the chain rule. The derivative of ln(e²³x⁵) is 2³x⁵ * 5/x, which simplifies to 4x³. Multiplying by the derivative of \(e^x.\), the final derivative is (4x³ + x⁴)\(e^x.\).

Given the equation 2xf(x) + cos(f(x) - 2) = 13 and f(3) = 2, we need to find f'(3). Differentiating both sides of the equation implicitly, we have:

2xf'(x) + f'(x)sin(f(x) - 2) = 0.

Substituting x = 3 and f(3) = 2, we can solve for f'(3):

6f'(3) + f'(3)sin(2 - 2) = 0.

6f'(3) = 0.

Therefore, f'(3) = 0/6 = 0.

Thus, the value of f'(3) is E. f'(3) = 0.

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Answer:

b = 131

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

b+49 = 180

Subtract 49 from each side

b = 180-49

b =131

Answer:

Angle b is 131°

Step-by-step explanation:

Angles on a straight line add up to 180°

To find b add 49 and b and equate it to 180°

That's

b + 49 = 180

b= 180 - 49

b = 131°

Hope this helps you

The value of measure ∠PQR is,

⇒ ∠PQR = 133°

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

In the given figure,

⇒ ∠PQR = (3x - 5)°

⇒ ∠ RQS = (x + 1)°

Now, By the figure we can conclude,

⇒ ∠PQR + ∠ RQS = 180°

Substitute the given values, we get;

⇒ (3x - 5) + (x + 1) = 180

⇒ 4x - 4 = 180

⇒ 4x = 180 + 4

⇒ 4x = 184

⇒ x = 184/4

⇒ x = 46

Thus, The value of measure ∠PQR is,

⇒ ∠PQR = (3x - 5)°

⇒ ∠PQR = (3 × 46 - 5)°

⇒ ∠PQR = (138 - 5)°

⇒ ∠PQR = 133°

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The complete question is shown in figure.

Answer:

101.25

Step-by-step explanation:

To find the number of students, we need to first determine the total amount earned from the students. We can do this by multiplying the number of people by the cost per student: $3/student * 120 people = $<<3*120=360>>360.

Since the total amount earned was $435 and we know that $360 of that came from students, we can find the number of students by subtracting the total earned from students from the total amount earned: $435 total - $360 from students = $75 from adults.

Since the cost per adult was $4, we can divide the total amount earned from adults by the cost per adult to find the number of adults: $75 / $4/adult = <<75/4=18.75>>18.75 adults.

Since there were 120 people in total and 18.75 of them were adults, there must have been 120 people - 18.75 people = <<120-18.75=101.25>>101.25 students

Answer:

A is the correct answer

Step-by-step explanation:

Answer:

x = 121°

Step-by-step explanation:

the angle at the vertex = 360° - 304° = 56°

the base angle = 180° - 115° = 65°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle , then

x = 56° + 65° = 121°

The angle opposite to 304° has measure:-

The angle aside 115° has measure

Now

Sum of two interiors=Exterior