There are 48 members of the swim team. The ratio of boys to girls is 3:5. How many girls are on the swim tearn? Explain how you found your answer. ​

Answer:

1,000

Step-by-step explanation:

1,000,000 x 1,000 = 1,000,000,000

1,000,000,000 has 4 more zeros than   1,000,000 and 1,000 has 4 zeros so there 1000 is  the answer.

Answer:

96

Step-by-step explanation:

Answer:

Brings the Line down 3

The acceleration vector of the car at time t=1 is -18i + 2e²j, where i and j are the unit vectors in the x and y directions, respectively. The position of the car at time t=2 is (5.52, 9.86) feet.

To find the acceleration vector of the car at time t=1, we need to find the derivative of the velocity vector v(t) with respect to time t:

a(t) = d/dt [3+6sin(3t)]i + d/dt [1+e²t]j

= 18cos(3t)i + 2e²j

Plugging in t=1, we get:

a(1) = 18cos(3)(1)i + 2e²j

= -18i + 2e²²j

To find the position of the car at time t=2, we need to integrate the velocity vector v(t) from t=0 to t=2:

r(t) = \(\int_{v(0)}^{v(t)} v(u) du\)

where v(u) = {3+6sin(3u),1+e²u}.

We can integrate each component of the velocity vector separately:

x(t) = \(\int_0^t (3+6sin(3u)) du\) = 3t - 2cos(3t) + 2

y(t) = \(\int_0^t (1+e^2u) du\) = t + (1/2)e²t

Plugging in t=2, we get:

x(2) = 3(2) - 2cos(3(2)) + 2 ≈ 5.52 feet

y(2) = 2 + (1/2)e⁴ ≈ 9.86 feet

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Full question :

A man buys a certain number of oranges at 20 for Rs. 60 and an equal number at 30 for Rs. 60. He mixes them and sells them at 25 for Rs. 60. What is the gain or loss percent?

Answer:

4% loss(percentage loss on cost price)

Step-by-step explanation:

we will be employing algebra in solving this problem :

20 oranges at 60 Rs=60Rs/20 per orange=3Rs per orange

Say x oranges bought at 3Rs per orange=3Rsx

Equal number of oranges at 30 oranges for 60 Rs=60Rs/30 per orange=2Rs per orange

Say x oranges bought at 3Rs per orange=2Rsx

Total Cost Price = 3Rsx + 2Rsx = 5Rsx

He then sells all oranges at 25 for 60 Rs

Therefore price per orange=60/25=12/5Rs

since he sold x+x oranges(from the above calculations)

Total selling price=total oranges *12/5Rs=2x oranges*12/5Rs=24x/5Rs

Profit or loss=24x/5-5x=-x/5

therefore we have a loss =-x/5

Percentage of loss(on cost price)

=x/5÷5x∗100=

=1/25∗100=4%

Answer:

12

Step-by-step explanation:

This triangle is equalateral, so all the sides and all the angles are the same. Since in every triangle all angles add up to 180, they would be evenly distributed. (so 180/3, which is 60) 60/5= 12, so the value of x is 12

If you look at the problems, it requires combining like-term numbers and distributing (variables, coefficients, etc). So to combine like-term numbers, you should look for the same variables and/or coefficients. But, if there are parentheses '()' in the equations, you must distribute (multiply) them first and then combine like-terms.

For example, in problem #2 you see -2(3x + 15) \(\leq\) 42

So first, distribute.

-6x -30 \(\leq\) 42

Now solve. Make sure you don't let the inequality sign confuse or trick you. It is just like when solving a two-step equation. So if I were you, I would pretend the inequality sign is an equal sign '='

Inverse operation: Turn -30 into +30 and add to 42.

-6x -30 \(\leq\) 42

     +30 \(\leq\) +30

----------------------

        -6x \(\leq\) 72

Inverse operation: Turn -6x into /-6 (division)

-6x/-6x \(\leq\) 72

Now, here is the tricky part. When dividing or multiplying a negative coefficient (for example -6x is a negative coefficient) you MUST flip the inequality sign.

x \(\geq\) -12

That's how you solve this and I hope this helps you :D

Answer:

34.54

Step-by-step explanation:

11in as diameter

3.14 as pi

11x3.12=34.54

Pls dont get mad if im wrong im trying my best :)

Answer:

73.81 in

Step-by-step explanation:

First we begin with the 3/4 circle perimeter:

(3.14) * diameter * 3/4

\((3.14) * 22 * \frac{3}{4} = 51.81\)

Then we add the two remaining lines:

11 + 11 = 22

Adding up these two we get:

\(51.81 + 22 = 73.81\)

The expression of the inequality statement is (a) (a) 10 - 1/4r > 5

From the question, we have the following parameters that can be used in our computation:

One-fourth of r subtracted from ten is greater than five

Express as numbers and operators

So, we have

1/4 of r subtracted from 10 is greater than 5

Introduce the inequality symbol

So, we have the following representation

1/4 of r subtracted from 10 > 5

Express "subtracted" and "or" as operators

So, we have the following representation

10 - 1/4r > 5

Hence, the expression is (a) 10 - 1/4r > 5

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Answer:

x=-2, x=5

Step-by-step explanation:

it just is

The rate of change for Modis building stairwell is 0.68 feet per step.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Part A: In the Modis building, he climbs 22 steps for every 15 ft of horizontal travel.

Now, rate = 15/22

= 0.68 feet per step

In Sears Tower, he climbs 17 steps for every 7 ft of horizontal travel

Here, rate 7/17

= 0.41 feet per step

Part B: Sears Tower steps are easy to climb, because rate is lesser than Modis building steps.

Therefore, the rate of change for Modis building stairwell is 0.68 feet per step.

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Answer:

honest or no?

Step-by-step explanation:

Answer:

-1957.2 I think,but if it is not ,forgive me

The vertex of the Quadratic function with a y-intercept of (5, 0) and an x-intercept of (0, 80) is located at the point (0, 0).

The vertex of a quadratic function given the y-intercept and x-intercept, we need to determine the axis of symmetry, which is the line that passes through the vertex. The x-coordinate of the vertex will be the midpoint between the x-intercepts, while the y-coordinate will be the same as the y-intercept.

Given that the y-intercept is (5, 0) and the x-intercept is (0, 80), we can determine the x-coordinate of the vertex by finding the midpoint of the x-intercepts. The x-coordinate of the midpoint is simply the average of the x-values:

x-coordinate of vertex = (0 + 0) / 2 = 0 / 2 = 0

Since the y-coordinate of the vertex is the same as the y-intercept, the vertex will have the coordinates (0, 0).

Therefore, the vertex of the quadratic function is (0, 0).

In conclusion, the vertex of the quadratic function with a y-intercept of (5, 0) and an x-intercept of (0, 80) is located at the point (0, 0).

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A rectangle with its base on the x-axis and its vertices on the curve

y =4 - x² can have a maximum area of 32/3√3.

The formula for calculating a rectangle's area is  A=length*breadth

The base's length is x.

y represents the curve's vertices (width).

Given that a rectangle's area increases as its base moves along the x-axis, our base will be 2x.

The rectangle's surface area will change to:

A = 2x ( 4 - x²)

When the area is at its largest, da / dx should be maximum.

A = 8x - 2x³

da/dx = 8 - 6x²

8 - 6x² = 0

6x² =  8

x² = 8/6

x  = √4/3

   =2/√3

We shall substitute 2/√3 into the region in order to obtain the maximum area.

A=  8x - 2x³

  = 8*2/√3 - 2*(2/√3)³

  =32/3√3

Therefore, the largest area a rectangle with a base on the x-axis and vertices on the curve y = 4 - x² can have is 32/3√3.

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The value of a in the equation is 32/81

From the question, we have the following parameters that can be used in our computation:

log2 ab = 5 and log3 b = 4

Rewrite the above equations properly

So, we have the following representations

log₂ ab = 5 and log₃ b = 4

Apply the exponent law of logarithm

This gives

ab = 2⁵ and b = 3⁴

Divide both equations

So, we have the following representation

ab/b = 2⁵/3⁴

Evaluate the quotient

a = 32/81

Hence, the value of a is 32/81

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Answer:

See below for answer.

Step-by-step explanation:

∠ECB ≅ ∠FBC    Parallel lines cut by a transversal form congruent alternate  

                             interior angle  

Δ AEC ≅ Δ DFB   ASA                

(3x+5)+(x+3)=180

4x+8=180

4x=172

x=43

3(43)+5

<PQR=134

<SQR=46

Answer:

\(\boxed {\angle PQR = 134\textdegree}\)

Step-by-step explanation:

Both angles are Supplementary (Two angles that add up to 180°). So, write an expression using the following measurements of both \(\angle PQR\) and \(\angle RQS\) and 180:

\(\angle PQR = 3x + 5\)

\(\angle RQS = x + 3\)

\(3x + 5 + x + 3 = 180\)

Solve:

\(3x + 5 + x + 3 = 180\)

\(4x + 5 + 3 = 180\)

\(4x + 8 = 180\)

\(4x + 8 - 8 = 180 - 8\)

\(4x = 172\)

\(\frac{4x}{4} = \frac{172}{4}\)

\(x = 43\)

-After you have the value of \(x\), use it to the expression of \(\angle {PQR}\) to get the actual answer of \(\angle PQR\):

-The value of \(x\):

\(x = 43\)

-Solve for the measurement of \(\angle PQR\):

\(3x + 5\)

\(3(43) + 5\)

\(129 + 5\)

\(134\)

-The measurement of \(\angle PQR:\)

\(\boxed {\angle PQR = 134\textdegree}\)

The Geometric Mean between the pair of numbers 8 and 12 is 4√6   .

Geometric Mean between the numbers x and y is calculated using the formula ,

GM = √(x * y),

where GM represents the Geometric Mean

In the question ,

it is given that ,

the pair of numbers are 8 and 12 .

we need to find the geometric mean between them ,

By using the Geometric Mean formula from above ,

we get ,

GM = √(8 × 12)

GM = √96

GM = 4√6

Therefore , The Geometric Mean between the pair of numbers 8 and 12 is   4√6  .

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Step-by-step explanation:

12/18   =  16/24

Simplify the fractions on both sides

2/3    =     2/3

The length of the garden is 15 meters

The breadth of the garden is 10 meters

From the question, we have the following parameters that can be used in our computation:

Length = 5 + Breadth

So, we have

Perimeter = 2 * (5 + Breadth + Breadth)

The permeter is 50

So, we have

2 * (5 + Breadth + Breadth) = 50

This gives

(5 + Breadth + Breadth) = 25

So, we have

Breadth + Breadth = 20

Divide by 2

Breadth = 10

Recall that

Length = 5 + Breadth

So, we have

Length = 5 + 10

Evaluate

Length = 15

Hence, the length of the garden is 15 meters

In (a), we have

Breadth = 10

Hence, the breadth of the garden is 10 meters

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Answer:

x= 1.3

Step-by-step explanation:

You have to plug in 7 so it will look like:

f(x) = -2x² + 4

7(x) = -2x² +4

now what you have to do is multiply 7 by x which will get you

7x = -2x² + 4

now because you have that you want to multiply -2 twice because you have that ²

7x = 4x +4

now you want to move the 4x and you can do that by doing the inverse operation and in this case since its a positive 4 you may want to subtract 4x from 4x and 7x

3x=4

now you want to divide 4 from 3  and you get 1.333333333333333

hope this helps

Answer:

your answer is the very first one

Step-by-step explanation:

Elena's speed on the circular running track is 0.12 miles per hour

From the question, we have the following parameters that can be used in our computation:

Distance = 14 miles

Time to cover this distance = 120 of an hour

The above parameters mean that

Distance = 14 miles

Time = 120 hours

Elena's speed on the circular running track is then calculated as

Speed = 14 miles/120 hours

Evaluate the quotient

Speed = 0.12 miles per hours

Hence, the speed is 0.12 miles per hour

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Answer:

Step-by-step explanation:

32

Commonly, research begins with a straightforward random sample. This enables them to statistically analyze a sample of people drawn from a bigger population or group in order to simulate the response of the complete group.

Why does a field (a list of every person in the population) need to be included in simple random sampling?) :-

   - Simple random sample is the term used to describe a smaller portion    of a bigger population. Each person in this area has an equal probability of being selected. For this reason, a straightforward random sample is intended to be impartial in its portrayal of the wider group. This approach typically has an error margin, which is denoted by a plus or minus variant. An example of a sampling error is this.

why does the requirement of a field make collecting a simple random sample difficult :-

    - Only when a complete list of the entire population to be researched is available can a simple random sampling yield an accurate statistical measure of a big population. Consider a list of university students or a group of workers at a particular business.

The availability of these lists is the issue. Accessing the entire list can therefore be difficult. It's possible that some colleges or universities won't want to give researchers an exhaustive list of their faculty or students. Similar to this, some businesses might not be able or willing to provide information about particular employee groups due to privacy policies.

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Typically, research starts with a simple random sample. This gives them the ability to statistically assess a group or population sample taken from a larger one in order to imitate the response of the entire group.

Why does simple random sampling require a field (a list of every person in the population)?

A smaller subset of a larger population is referred to as a simple random sample. Everyone in this area has an equal chance of being chosen. Because of this, a simple random sample is meant to represent the larger group objectively. An plus or minus variant is used to indicate the approach's typical error margin. This is an illustration of a sampling inaccuracy.

Why is it difficult to gather a simple random sample because of a field's requirements:-

- A simple random sample cannot produce an appropriate statistical measure of a large population unless the entire population to be studied is accessible. Think of a list of college students or a team of employees at a specific company.

The problem is the accessibility of these lists. It may be challenging to access the complete list as a result. Some schools and universities might not wish to provide a complete list of their faculty or students to researchers. Similar to this, due to privacy policies, some businesses might not be able or willing to provide information about specific employee groups.

To find the probability that a randomly selected film is between 100 and 120 minutes long, we can use the properties of the normal distribution.

First, we calculate the z-scores for the lower and upper bounds of the desired range:

Lower z-score = (100 - 96) / 12 = 0.333

Upper z-score = (120 - 96) / 12 = 2.000

Next, we look up the probabilities associated with these z-scores in the standard normal distribution table. The probability for the lower bound is P(Z < 0.333) and the probability for the upper bound is P(Z < 2.000).

Using the table or a statistical calculator, we find that the probability for the lower bound is approximately 0.6293 and the probability for the upper bound is approximately 0.9772. To find the probability within the desired range, we subtract the lower probability from the upper probability:

P(100 < X < 120) = P(Z < 2.000) - P(Z < 0.333) = 0.9772 - 0.6293 = 0.3479

Therefore, the probability that a randomly selected film is between 100 and 120 minutes long is approximately 0.3479, or 34.79%.

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The correct statement regarding R-squared is: "Its value is always between -1.0 and 1.0. A value of 1.0 indicates the line is a perfect fit for the data."

R-squared (²) is a statistical measure that represents the proportion of variance in the dependent variable that is explained by the independent variable(s) in a regression model. The value of R-squared ranges from -1.0 to 1.0.

A value of 1.0 indicates that the regression line perfectly fits the data, while a value of 0 indicates that the model cannot explain any variance in the dependent variable. A negative value indicates that the model is worse than just using the mean of the dependent variable.

Therefore, the best fit line for the data is the one that has an R-squared value closest to 1.0, indicating that it explains a high percentage of the variance in the dependent variable based on the independent variable(s). It is important to note that an R-squared value above 1.0 is not possible and may indicate a mistake in the calculations.

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