in schools lesson are 55 minutes long A Science lesson ends At 2:30 PM What time does it start

Answer:

A = 2184 cm²

Step-by-step explanation:

the area (A) of the figure is calculated as

A = \(\frac{1}{2}\) h(b₁ + b₂)

where h is the perpendicular height between the bases b₁ and b₂

here h = 42 , b₁ = 52 , b₂ = 52 , then

A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²

Answer:

A = 2184 cm2

Step-by-step explanation:

Area of a parallelogram:

\(A = b*h\)

\(b=52,h=42\)

\(A=(42)(52)=2184cm^{2}\)

Hope this helps.

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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Answer:

34.8

Step-by-step explanation:

36-1.2 = 34.8

According to trigonometric properties, the value of (16-x2) for x as 4sinx is 4cosx.

Trigonometry is a branch of mathematics concerned with angle relationships and length ratios. The field arose in the Hellenistic world during the third century BC from geometric applications to astronomical studies. Trigonometry is a branch of mathematics concerned with specific angle functions and their application to calculations. In trigonometry, there are six functions of an angle that are commonly used. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names and abbreviations (csc).

Here,

=√(16-x²)

x=4sinx

=√(16-(4sinx)²)

=√(16-16sin²x)

=4√(1-sin²x)

=4cosx

The value of √(16-x²) for x as 4sinx is 4cosx by trigonometric properties.

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Answer: X and Y

Step-by-step explanation: IF I REMEMBER dont get mad if you don’t get it right

9 hours

One liter of Normal Saline is charted over 9 hours.

read this and you will find the answer, THANKS!

Answer: If in a prior study, a sample of 200 people showed that 40 traveled overseas last year, then n= 385

If no estimate of the sample proportion is available , then n= 601

Step-by-step explanation:

Let p be the prior population proportion of people who traveled overseas last year.

If p is known, then required sample size = \(n=p(1-p)(\dfrac{z^*}{E})^2\)

z-value for 95% confidence = 1.96

E = 0.04  (given)

\(p=\dfrac{40}{200}=0.2\)

\(n=0.2(1-0.2)(\dfrac{1.96}{0.04})^2=384.16\approx385\)

Required sample size = 385

If p is unknown, then required sample size = \(n=0.25(\dfrac{z^*}{E})^2\)

, where E = Margin of error , z* =critical z-value.

z-value for 95% confidence = 1.96

E = 0.04  (given)

So, \(n=0.25(\dfrac{1.96}{0.04})^2=600.25\approx601\)

Required  sample size = 601.

Answer:

195 students.

Step-by-step explanation:

Each group of three created (or used) 9 pictures.

So that means three pictures per student.

Dividing 585 students by 3 pictures per student means that there are

585/3 = 195 students.

Answer:

x <-14

Step-by-step explanation:

Answer:

x is less than -14

Step-by-step explanation:

3- 1/2x is grater than 10

6-x is greater than 20

-x is grater than 20-6

-x is grater than 14

x is less than -14

answer x is less than -14

aa(my laptop doesnt have greater and less than signs so i had to spell it out)

A saleswoman earns 3% commission on all the merchandise that she sells. Last month she sold 8000 worth of merchandise. the commission earned last month is  $240

The question is a percentage problem, percentage deals with a fraction hundred and used as follows

3%

= 3 percent

= 3 / 100

= 0.03

The factor 0.71 is added to 1 and multiplied by revenue generated from sales to get the amount earned last month

the addition

= 1 + 0.03.

= 1.03

the multiplication

= 1.03 * 8000

= 8240

The commission earned last month is

= 8240 - 8000

= 240

The commission earned last month = $240

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Answer:

345istyenumber iguess.

The population of US is 330 million approx.

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." The number "%" is used to symbolize it.

Given

population of new york = 2.727272% population of US

population of new york = 9 million

population of US = 1/2.727272% of new york

population of US =  36.6666 x 90,00,000

population of US = 33,00,00,087.9 = 330 million approx

Hence population of US is approx 330 million.

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The solution is:

43100 ≤ μ ≤ 59710

And for this case we want to test the following hypothesis:

Null hypothesis:  μ = 42000

Alternative hypothesis: µ ≠ 42,000

For this case since the lower value of the confidence interval is higher than 42000 we have enough evidence to reject the null hypothesis at the 55 of significance and we can conclude that the true mean is significantly different from 42000

A confidence interval is a range of values, derived from a sample of data, that is likely to contain an unknown population parameter with a certain level of confidence.

here, we have,

The confidence interval for the mean is given by the following formula:

  (1) X± t_α/2* s/√n

And for this case the 95% confidence interval is already calculated as:

43100 ≤ μ ≤ 59710

And for this case we want to test the following hypothesis:

Null hypothesis: μ = 42000

Alternative hypothesis: µ ≠ 42,000

For this case since the lower value of the confidence interval is higher than 42000 we have enough evidence to reject the null hypothesis at the 55 of significance and we can conclude that the true mean is significantly different from 42000.

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The value g(7) of the function g(x) = 7  / 8 x  - 1 / 2 is 45 / 8.

A function relates each element of a set with exactly one element of another set (possibly the same set).

In a simpler term, a function relates an input to an output.

Therefore, let's find the value of g(7) for the function below:

g(x) = 7  / 8 x  - 1 / 2

Hence,

g(7) = 7 / 8 (7)  - 1 / 2

g(7) = 49 / 8  - 1 / 2

g(7) =  49 - 4 / 8

Therefore,

g(7) = 45 / 8

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The mean of the sampling distribution of sample means is 5.3, and its standard deviation is 0.186.

By dividing the sum of the provided numbers by the total number of numbers, the mean—the average of the given numbers—is determined.

The mean of the sampling distribution of sample means is equal to the population mean, which is 5.3, regardless of the sample size. This is a fundamental property of the sampling distribution of the mean.

However, if we want to be more precise, we can use the formula for the standard error of the mean (SEM) to calculate the standard deviation of the sampling distribution of sample means:

SEM = σ / √(n)

where σ is the population standard deviation, n is the sample size, and sqrt represents the square root.

In this case, σ = 1.1 and n = 35, so:

SEM = 1.1 / √(35) = 0.186

Therefore, the mean of the sampling distribution of sample means is 5.3, and its standard deviation is 0.186.

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Answer:

Step-by-step explanation:

Given system:

Divide both sides of the second equation:

We got both equations same.

It means the lines representing the equations overlap, the system has infinitely many solutions.

9514 1404 393

Answer:

Step-by-step explanation:

1. Insufficient information. We need to know the direction of one observer from the other, and the reference for the angles being measured.

__

2. See the first attachment. The law of sines tells you the distance r is ...

   r = s(sin(R)/sin(S))

The angle at S is the supplement of the sum of the given angles:

  ∠S = 180° -35° -45° = 100°

Then the distance is ...

  r = (10 mi)sin(45°)/sin(100°) = 7.1802 mi

The distance from Juan to the ship is about 7.2 miles.

__

3. See the second attachment. The law of sines tells you the distance 'a' is ...

  a = b(sin(A)/sin(B))

  a = (10 mi)sin(45°)/sin(50°) ≈ 18.4612 mi

The distance from airplane B to the airport is about 18.5 miles.

Answer:

x = 19

Step-by-step explanation:

So cos and sin are closely related, but they are not equal. In order for these two to be equal to each other, the angles (in the parenthesis by the cos and by the sin) have to be complementary. That is, they have to add up to 90°

Use this idea to set up an equation.

x + 16 + 3x - 2 = 90

Combine like terms.

4x + 14 = 90

Subtract 14.

4x = 76

Divide by 4.

x = 19

x = 19

If you are kooking for the angles:

x + 16

= 19 + 16

= 35

and

3x - 2

= 3(19) - 2

= 57 - 2

= 55

Check: 35 + 55=90

Also,

cos35 = sin55

The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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Answer:

The highest altitude that the object reaches is 576 feet.

Step-by-step explanation:

The maximum altitude reached by the object can be found by using the first and second derivatives of the given function. (First and Second Derivative Tests). Let be \(h(t) = -16\cdot t^{2} + 128\cdot t + 320\), the first and second derivatives are, respectively:

First Derivative

\(h'(t) = -32\cdot t +128\)

Second Derivative

\(h''(t) = -32\)

Then, the First and Second Derivative Test can be performed as follows. Let equalize the first derivative to zero and solve the resultant expression:

\(-32\cdot t +128 = 0\)

\(t = \frac{128}{32}\,s\)

\(t = 4\,s\) (Critical value)

The second derivative of the second-order polynomial presented above is a constant function and a negative number, which means that critical values leads to an absolute maximum, that is, the highest altitude reached by the object. Then, let is evaluate the function at the critical value:

\(h(4\,s) = -16\cdot (4\,s)^{2}+128\cdot (4\,s) +320\)

\(h(4\,s) = 576\,ft\)

The highest altitude that the object reaches is 576 feet.

Answer:

12

Step-by-step explanation:

So since the total was 26.95 subtract the base cost of the mug which is 8.95

26.95-8.95=18.00

Then since each refill is 1.50 divide by 1.50

18/1.50=12

Lanice bought 12 refills last month

Answer: symmetry, size

Step-by-step explanation:

Step-by-step explanation:

ΔJLK = ΔNLM ( vertically opposite Δ)

ΔJKL = ΔNML ( each 90° )

so,

triangle JKL = triangle NML (by AA similarity)

JK / KL = NM / ML

JK / 21m = 42m / 49m

JK = 42 × 21 ÷ 49

JK = 18m

Since functions are frequently composed of two smaller functions to create new functions, this definition of function is sometimes used.

The graph of the function will be a straight line with no discontinuities when the equation f(x) = 3x - 2 is used.

The domain of this expression is all real integers.

The expression f(x) = 3x - 2 has as its domain "x | x is a real number," which can be written as (-,","") for any x > R.

F (x) = 3 x f (x) = 3 x f (x) = 3 x is the given function.

The domain of f f f is R mathbbR R since 3 x 3x 3x is defined for any x R x in mathbbR xR (where R mathbbR R is the set of all real numbers).

Consider the function y = f(x),

which has the independent variable x and the dependent variable y.

A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.

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Answer:

The number cube as 12 sides, and if it is fair, then each one of the 12 numbers should have the same probability of being rolled.

This means that the probability of rolling a 2 should be equal to 1/12 = 0.0833

Remember that this is theoretical, we should expect to see this probability with a really high number of rolls.

On the first experiment, there were 10 rolls, and the number 2 showed up 4 times, then based on this, the relative frequency is equal to the quotient of the number of times that the 2 was rolled (4) and the total number of rolls

p = 4/10 = 0.4

This differs with the theoretical probability, we should expect that as we increment the number of rolls, the experimental probability should approximate to the theoretical one.

In the second experiment, we have 200 rolls, and the 2 was rolled 18 times. Then the experimental probability of rolling a 2 is:

p = 18/200 = 0.09

This is almost the same as the theoretical one.

Then we could conclude that the probability of rolling a 2 seems to be the one of fair dice.

We can conclude that the 12-sided number cube is fair

The given parameters are:

The theoretical probability of 2 in a 12-sided number cube is:

\(\mathbf{P(2) = \frac{1}{12}}\\\)

Express as decimals

\(\mathbf{P(2) = 0.083}\)

The experimental probability of 2 in after 200 rolls is:

\(\mathbf{P(2) = \frac{18}{200}}\)

Express as decimals

\(\mathbf{P(2) = 0.09}\)

By comparing the experimental and the theoretical probabilities, we can see that: 0.08 and 0.09

Hence, we can conclude that the 12-sided number cube is fair

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Answer:

Symbols= P(A^1)

Value: 2/5 , 4/25 , 3/5 , 16/25

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use a simple Equation

Price = Number x Price

So Price = 536.

Since it was 67% off we multiple the price of the original by .67.

So

536 = .67x

Solve for x = 536/.67 = 800

The original Price is $800.

check by multiplying by the sale %.