In right triangle ABC, ∠A is a right angle and sinC=15/17 What is the ratio cosC? Enter your answer as a fraction in simplest form, like this: 42/53

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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24,000 ÷ 8,000 this doesn't have the same quotient as 2.4  ÷ 0.08

What is quotient ?

A quotient in mathematics is the amount created when two numbers are divided. The term "quotient" is used frequently in mathematics and is sometimes referred to as a ratio, a fraction, or the integer portion of a division.

The dividend is the number that is being divided (in this case, 15), and the divisor is the number that is being divided (in this case, 3). The quotient is the end result of division.

The quotient of 2.4 ÷ 0.08 is 30

The quotient of 0.24 ÷ 0.008 is 30

∴ the same as  2.4 ÷ 0.08

The quotient of 24 ÷ 0.8  is 30

∴ the same as  2.4 ÷ 0.08

The quotient of 240 ÷ 8   is 30

∴ the same as  2.4 ÷ 0.08

The quotient of 24,000 ÷ 8,000 is 3

∴ it is not same as  2.4 ÷ 0.08

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Answer:

Point Form:

( − 46 /3 , − 44 /3 )

Equation Form:

x = − 46 /3 ,  y = − 44 /3

Step-by-step explanation:

Combine  1 /2 and  x .

y = x /2 − 7

2 x − y = − 16

Replace all occurrences of  y  in  2 x − y = − 16  with  x /2 − 7 .

y = x /2 − 7

2 x − ( x /2 − 7 ) = − 16

 Simplify  

2 x − ( x /2 − 7 ) .

y = x /2 − 7

3 x /2 + 7 = − 16

Solve for  

x

in the second equation.

y = x /2 - 7

x = − 46 /3

Replace all occurrences of  x  in  y = x /2 − 7 with  − 46 /3 .

y = − 46 /3 /2 − 7

x = − 46 /3

Simplify  − 46 /3 /2 − 7 .

y = − 44 /3

x = − 46 /3

The solution to the system of equations can be represented as a point.

( − 46 /3 , − 44 /3 )

The result can be shown in multiple forms.

Point Form:

( − 46 /3 , − 44 /3 )

Equation Form:

x = − 46 /3 ,  y = − 44 /3

Answer: 7.755 × 10²

Step-by-step explanation:

    To write in scientific notation we write the number as being between 1 and 10 which is then multiplied by a power of 10 so it is still equivalent.

775.5 / 100 = 7.755

[✓] 1 < 7.755 < 10

    Checking our work.

[✓] 7.755 × 10² = 775.5

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Answer:

2 possible values

Step-by-step explanation:

The given expression is:

\(\sqrt[3]{\frac{144}{y} }\)

In order for this to result in a whole number, 144/y must be a perfect cube, the possible perfect cubes (under 144) are:

1, 8, 27, 64, 125

The values of y that would result in those numbers are:

\(y=\frac{144}{1}=144 \\y=\frac{144}{8}=18 \\y=\frac{144}{27}=5.333\\y=\frac{144}{64}=2.25\\y=\frac{144}{125}=1.152\)

Only two values of y are integers, therefore, there are only two possible values of y for which the given expression results in a whole number.

Answer:it’s b

Step-by-step explanation:

Just took quiz on edge 2020

Answer:

no

Step-by-step explanation:

5(-4)+3(-7)+2= -20-21+2=-39

Answer:

36 minutes

Step-by-step explanation:

5:26

4:50

4:50 plus what is 5:00? 10 min.

And then you add 26 minutes from 5:26.

which would be 36.

36 motorcycles were repaired during the month.

To solve this problem, we can use the formula for the total number of wheels of a vehicle, which is equal to the number of vehicles multiplied by the number of wheels per vehicle. In this case, the number of wheels per vehicle is 4 since both autos and motorcycles have 4 wheels each. This formula can be expressed as: Wheels = Vehicles × Wheels per Vehicle.

We can substitute the given values of the total number of wheels (336) and the number of wheels per vehicle (4) into the formula, and solve for the number of vehicles (V): Wheels = Vehicles × Wheels per Vehicle → 336 = Vehicles × 4 → Vehicles = 336 ÷ 4 → Vehicles = 84.

Since we know that both autos and motorcycles were repaired, and the total number of vehicles was 84, we can use the information that 120 vehicles were repaired to solve for the number of motorcycles (M) that were repaired.

If the total number of vehicles was 84, and 120 vehicles were repaired, then the number of motorcycles that were repaired must be equal to the difference between the total number of vehicles and the total number of autos, which is 120 - 84 = 36.

Therefore, 36 motorcycles were repaired during the month.

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Answer:

According to the Fundamental Counting Principle, when we roll the die and spin the spinner the number of equally likely outcomes is (6)(4) = 24.

Step-by-step explanation:

Answer:

you are correct :D

Step-by-step explanation:

The vector field F = (7x + 3y, 3x + 5y) is not conservative. To evaluate the line integral of F.dr along the curve C: F(t) = (t+7, t+3j), for 0 < t < 3, we can use the parameterization of the curve and calculate the integral. The line integral involves integrating the dot product of F and the tangent vector dr along the curve C to find the total work done by the vector field F.

A vector field F is said to be conservative if it can be expressed as the gradient of a scalar function, i.e., F = ∇f, where f is a scalar potential function. To determine if F = (7x + 3y, 3x + 5y) is conservative, we can check if the components satisfy the condition ∂F₁/∂y = ∂F₂/∂x.

In this case, we have ∂F₁/∂y = 3 and ∂F₂/∂x = 3, indicating that the vector field F does not satisfy the conservative condition.

To evaluate the line integral of F.dr along the curve C: F(t) = (t+7, t+3j), for 0 < t < 3, we can parameterize the curve as r(t) = (t, t) and compute the integral ∫C F.dr = ∫(0 to 3) [(7t+3t)dt + (3t+5t)dt]. This involves integrating the dot product of F and the tangent vector dr along the curve C.

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Answer: well you have to give us  more information

Step-by-step explanation:

The confidence interval for the population variance is [17.81,19.79 ].

What is standard deviation?

Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.

Main body:

N = 25

mean - 18.8

standard deviation = 3

z value of 90% in z score = 1.645

C.I. = mean± z*s/√n

C.I. = 18.8 ± 1.645*3/√25

C.I. = 18.8 ±0.99

C.I. =[17.81,19.79 ]

Hence the confidence interval for the population variance is [17.81,19.79 ].

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question 3: -2

question 4: 0

Ordered pairs in a graph go in the sequence of (x, y)

The x-coordinate of the point of inflection is 9/4.

The interval on the left of the inflection point is 9/4 and on the function is concave down at (-∞, 9/4).

The interval on the right of the inflection point is 9/4 and on the function is concave up at (9/4, ∞).

In the given question we have to determine the intervals on which the given function is concave up or down and find the point of inflection.

The given function is:

f(x) = x(x−4√x)

Firstly finding the first and second derivatives.

f(x) = x^2−4x^{3/2}

f'(x) = 2x−4*3/2*x^{1/2}

f'(x) = 2x−6x^{1/2}

f''(x) = 2−6*(1/2)*x^{−1/2}

f''(x) = 2−3x^{−1/2}

Now finding the inflection point by equating the second derivative equal to zero.

f''(x) = 0

2−3x^{−1/2} = 0

After solving

x = 9/4

For left half of the number line of 9/4, f''(x)<0. So, the function is concave down in (-∞, 9/4).

For left right of the number line of 9/4, f''(x)>0. So, the function is concave up in (9/4, ∞).

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complete question:

Determine the intervals on which the given function is concave up or down and find the point of inflection. Let f(x) = x(x−4√x)

The x-coordinate of the point of inflection is: ____

The interval on the left of the inflection point is: ____ , and on this interval f is: __ concave up? or down? __

The interval on the right is: ____ , and on this interval f is: __ concave up? or down? __

(a) The probability that Charlie entered the intersection during a red light is 18/43.

(b) The probability that Joan entered the intersection when the light was yellow is 1/10.

To calculate the probabilities in this scenario, we need to consider the durations of each traffic light phase.

(a) The total duration of one complete cycle of the traffic lights is 45 + 5 + 36 = 86 seconds. The probability of Charlie entering the intersection during a red light is equal to the duration of the red light divided by the total duration of the cycle. Therefore, the probability is 36/86, which can be simplified to 18/43.

(b) Since Joan was seen driving through the intersection when the traffic light was not showing red, we need to consider the durations of the green and yellow lights. The probability of Joan entering the intersection when the light was yellow is equal to the duration of the yellow light divided by the total duration of the cycle, excluding the red light. Therefore, the probability is 5/(45 + 5) = 5/50 = 1/10.

In summary:

(a) The probability that Charlie entered the intersection during a red light is 18/43.

(b) The probability that Joan entered the intersection when the light was yellow is 1/10.

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Answer less than 250

Step-by-step explanation:

Answer: no more than 250

Step-by-step explanation:

Answer: 0.28571428571

Step-by-step explanation: 8 dived by 28

The value closest to the correlation for the given scatterplot would be C.) -0.75.

In a scatterplot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. A value of -0.75 indicates a strong negative correlation. Since the data points fit loosely around a line that slopes down to the right, it suggests a negative correlation. The closer the correlation coefficient is to -1, the stronger the negative correlation. Option C.) -0.75 is the value closest to -1 and represents a stronger negative correlation compared to the other options.

To determine the precise correlation coefficient, statistical calculations or software can be used. These calculations involve measuring the covariance and standard deviations of the variables. However, based on the given description, it is apparent that the data points exhibit a loose fit around a downward-sloping line, indicating a strong negative correlation.

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The area of the pond after rounding to the nearest hundredth is 39 feet²

An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².

To find the area of a semicircle, we need to first find the radius of the pond.

Let's assume the diameter of the pond is 10 feet.

Since a semicircle is half of a circle, the radius of the pond is half the diameter, which is 5 feet.

Now we can use the formula for the area of a semicircle, which is:

A = (1/2)πr²

where A is the area and r is the radius.

Plugging in the values, we get:

A = (1/2) × 3.14 × 5²

A = 39.25

Rounding to the nearest whole number, the area of the pond is approximately 39 square feet.

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In this case, you have 3 B's, 2 A's and 3 C's, so the total amount of cases are 3+3+2=8. If only one of these cases was an A, then the probability would be 1/8, but you have 2 A's, so the probability is 2/8. This in percentage is found by 100*2/8=25%

Therefore,  SE1/SE2 is less than 1, we can conclude that the sampling distribution for the SRS from California (1700 people) would have a smaller standard deviation compared to the SRS from Detroit (1000 people).

The sampling distribution for the SRS of 1000 people from Detroit would have a smaller standard deviation because the population size is smaller. As population size increases, the standard deviation of the sampling distribution decreases, so the larger population of California (34 million) would result in a larger standard deviation for the sampling distribution of the SRS of 1700 people.

we need to compare the standard errors of the two simple random samples (SRS) from California and Detroit.
Standard Error (SE) is calculated as follows:
SE = σ / √n
where σ is the population standard deviation and n is the sample size.

1. For California:
Sample size (n1) = 1700
Population size (N1) = 34 million

2. For Detroit:
Sample size (n2) = 1000
Population size (N2) = 1 million
Now, let's compare the SE for both:
SE1/SE2 = (σ1/√n1) / (σ2/√n2)

Without knowing the population standard deviations (σ1 and σ2), we cannot determine the exact standard errors. However, since both samples are taken from human populations, it's reasonable to assume that the population standard deviations are relatively similar.
Therefore, we can focus on the sample sizes to compare the standard errors:
SE1/SE2 ≈ (√n2) / (√n1)
SE1/SE2 ≈ (√1000) / (√1700)
SE1/SE2 ≈ (31.62) / (41.23)
SE1/SE2 ≈ 0.77

Therefore,  SE1/SE2 is less than 1, we can conclude that the sampling distribution for the SRS from California (1700 people) would have a smaller standard deviation compared to the SRS from Detroit (1000 people).

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Answer:

-54

Step-by-step explanation:

2jk - 10j

Let j = 9 and k=2

2*9*2 - 10 *9

36 - 90

-54

Answer:

use long divison  ike this

      16

  -------

8 | 132

    8

  -----

    52

    48

  -----

     4

Step-by-step explanation:

Answer:

Step-by-step explanation:

                                         132/8 = 16 with 4 leftover

                                             32 divided by 8 is 4, 96 divided by 8 is 12, the                                                                  

                                                  extra 4 left over

Answer:

Step-by-step explanation:

add your x and  y together first

Answer:

8yz+xy

like terms and then solve it

The simplified expression is xy + 8yz

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given:

3xy+5yz-2xy +3yz

Now,

=3xy - 2xy + 5yz+ 3yz

=xy + 8yz

Hence, the simplifies expression is xy + 8yz.

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The maximum rate of change of f at the point (0, 4) is 28, and it occurs in the direction of the vector (28, 0).

To find the maximum rate of change of the function f(x, y) = 7 sin(xy) at the point (0, 4), we need to compute the gradient vector ∇f(x, y) and evaluate it at the given point.

The gradient vector ∇f(x, y) of a function f(x, y) is given by the partial derivatives with respect to x and y:

∇f(x, y) = (∂f/∂x, ∂f/∂y)

Taking the partial derivatives of f(x, y) = 7 sin(xy):

∂f/∂x = 7y cos(xy)

∂f/∂y = 7x cos(xy)

Now, let's evaluate the gradient vector at the point (0, 4):

∇f(0, 4) = (7(4)cos(0), 7(0)cos(0))

= (28, 0)

The maximum rate of change of f at the point (0, 4) occurs in the direction of the gradient vector ∇f(0, 4) = (28, 0). The magnitude of this vector represents the maximum rate of change, and the direction is given by the direction of the vector.

The magnitude of the gradient vector is √(\(28^{2}\) + \(0^{2}\)) = √(784) = 28.

Therefore, the maximum rate of change of f at the point (0, 4) is 28, and it occurs in the direction of the vector (28, 0).

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John and Jose plan to buy a pizza and go to a movie. Movie tickets cost $12 each, and the pizza costs $9. John has $17, while Jose has $20.

First, let's calculate the total cost of the movie tickets. Since each ticket costs $12, the combined cost for both tickets is $12 x 2 = $24.

Next, we'll determine the individual cost of the pizza. Since John and Jose will split the $9 pizza cost, each person will contribute $9 / 2 = $4.50.

Now we can calculate Jose's total expenses. He will pay $12 for his movie ticket and $4.50 for his share of the pizza, making his total expenses $12 + $4.50 = $16.50.

Finally, to determine how much money Jose will have left at the end of the evening, subtract his total expenses from his initial amount. Jose started with $20 and spent $16.50, so he will have $20 - $16.50 = $3.50 left.

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Step-by-step explanation:

Let's turn each mixed fraction into an improper fraction:

\(2 \frac{1}{2} =\frac{2}{2} +\frac{2}{2} +\frac{1}{2} =\frac{5}{2}\)

\(3\frac{1}{5} =\frac{5}{5} +\frac{5}{5} +\frac{5}{5} +\frac{1}{5} =\frac{16}{5}\)

Multiply:

\(\frac{5}{2} \times \frac{16}{5} =\frac{80}{10}\)

Simplify:

\(\frac{80 \div 10}{10 \div 10} =\frac{8}{1} =8\)

8 is your simplified product.