Can you simply these fractions?

The solution to the inequality is: n < -9.

Given the inequality statement, 4n - 6 (n + 1) > 12, to solve for the value of n, we would isolate the n to one side of the inequality as shown below:

4n - 6 (n + 1) > 12

Distribute

4n - 6n - 6 > 12

Combine like terms

-2n - 6 > 12

-2n - 6 + 6 > 12 + 6

-2n > 18

Divide both sides by -2

-2n/-2 < 18/-2

n < -9

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The probability that, both tries to own a dog is 0.2500.

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

P(A) = f / N determines probability, which quantifies the possibility of an event happening. Probability and odds are related, but probability is necessary for odds to exist. Prior to calculating the likelihood that an event will occur, probability is required.

Here, 50% of people own dog.

P(people own dog) = 50/100

= 0.5

P(both people own dog) = 0.5×0.5 = 0​​​​​​.2500

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The piecewise function graphed below is given as follows:

A piecewise function is a function that has different definitions, depending on the input.

For x between -4 and -2, inclusive, the function is constant at 3, hence the definition is:

\(f(x) = 3, -4 \leq x \leq -2\)

For x greater than -2 until 3, the function is a line with slope 1 and y-intercept 2, hence the definiton is:

\(f(x) = x + 2, -2 < x \leq 3\)

For x greater than 3 until 5, the function is constant at -1, hence the definition is:

\(f(x) = -1, 3 < x \leq 5\)

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If the point D is located at (3,-3) on the coordinate plane and the point D is reflected over the x-axis to create point D', then the ordered pair describes  the location of D' is (3,3)

The coordinates of the point = (3,-3)

Then the point D is reflected over the x-axis to create the point D'

The point the point is reflected over the x axis, the coordinates of the points will become

A(x,y) = A'(x,-y)

Here the coordinates of the point D is (3,-3)

So, when its reflected over the x-axis to create the Point D'

D(3,-3) = D'(3,3)

Hence, if the point D is located at (3,-3) on the coordinate plane and the point D is reflected over the x-axis to create point D', then the ordered pair describes  the location of D' is (3,3)

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To find a particular solution to the given differential equation, we can assume a constant value for y and solve for it.

The given differential equation is y′′ + 3y = -9. To find a particular solution, we assume y = k, where k is a constant. Substituting this assumption into the differential equation, we get k'' + 3k = -9. Since k is a constant, its second derivative is zero, so the equation simplifies to 3k = -9. Solving for k, we find k = -3.

Therefore, a particular solution to the given differential equation is y = -3. This means that for this particular value of y, the second derivative of y is zero, and when we substitute it into the differential equation, it satisfies the equation.

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Given that the total daily revenues for the park can be approximated by this function:

Where the admission price is increased by "x" dollars.

In order to determine the daily revenue if the manager of the amusement park increases the cost of admission by $5, you need to set up that:

Now you have to substitute that value of "x" into the function and evaluate:

Hence, the answer is:

The linear inequality for the graph in this problem is given as follows:

y ≥ 2x/3 + 1.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 1, hence the intercept b is given as follows:

b = 1.

When x increases by 3, y increases by 2, hence the slope m is given as follows:

m = 2/3.

Then the linear function is given as follows:

y = 2x/3 + 1.

Numbers above the solid line are graphed, hence the inequality is given as follows:

y ≥ 2x/3 + 1.

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Answer:

The equation of a straight line is always \(y=mx+b\), where m is a constant which is the slope and b is a constant which is the y-intercept.

Substitute these values in:

\(y=3x-7\)

The graph would look like the image attached.

Thus, the number line which shows the graph of Negative 2.75 less-than x is given by option second.

A number line is a visual depiction of numbers on either a straight line in mathematics. A number line's numerals are arranged in a sequential manner at equal intervals along its length. It is often displayed horizontally and can extend indefinitely in any direction.

All sets of numbers, including natural and whole numbers, are included in the numbers on a number line. The natural number ranges from 1 to 6 while a group of whole numbers is represented by (0, 1, 2, 3,4,5,6).

There are three main components to a number line. The origin is typically plotted with zero in the centre. The mnemonic "The origin like most things is nothing" can help you recall that the origin is zero.

The expression for Negative 2.75 less-than x is:

-2.75 < x

So, x > -2.75 in which, -2.75 is not included.

Thus, the number line which shows the graph of Negative 2.75 less-than x is given by option second.

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Answer:

81 is the answer

Step-by-step explanation:

:>>>>>>>>

The Kutta-Joukowski theorem, which is represented by equation (3.140), was originally derived for the case of a lifting cylinder. However, it can also be applied to a two-dimensional body of arbitrary shape, as stated in section 3.16.

A more detailed explanation of the answer.
To make a physical argument for this generalization, we can draw a closed curve around the body.

The key is to draw the curve far enough away from the body such that the body appears as a very small speck in the middle of the domain enclosed by the closed curve.

By doing this, we are essentially treating the body as a point object at the center of the curve. Since the body is now a very small speck in comparison to the large domain, its specific shape becomes insignificant to the overall flow around it.

Therefore, the lifting force calculations derived from the Kutta-Joukowski theorem for the lifting cylinder should also apply to the two-dimensional body of arbitrary shape, as long as the body is small in comparison to the domain enclosed by the closed curve.

This physical argument allows us to accept that equation (3.140) can be applied in general to a two-dimensional body of arbitrary shape without requiring a mathematical proof.

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The expression represent total number dime both have is 5d.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.

Here Anna Has d dimes  and Brittany has 4 times as many dimes as Anna.

Then,

Number of dime Anna has = d Number of dime Brittany has = 4d

Now the total number of dimes both have is:

Total dimes = d+4d

= 5d

Hence the expression represent total number dime both have is 5d.

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Answer:

193.5

Step-by-step explanation:

1 inch = 12 ft

0.5x48x2=48

48x1.5x2=144

0.5x1.5x2=1.5

144+48+1.5=193.5

Answer:

43046721

Step-by-step explanation:

9^2 x 9^6

81 x 531441

= 43046721

Use the formula A = one-half b h to find the area of the base. The area of the base, A, is One-half (8) (14) = 56 meters. The volume of the prism, V is (56) (7) = 392 meters cubed.

A prism is a solid figure having two bases that are the same in size and shape, flat sides, and a continuous cross-section. The two bases of a prism, which might be triangles, rectangles, or any other polygon, determine the name of the prism in question. Prisms having triangle bases, for instance, are referred to as triangular prisms, whereas those with square bases are referred to as square prisms, and so on. Three rectangle lateral sides and two triangular bases make up a triangular prism.

Given that the figure is a right triangular prism with, base 8 meters and 14 m, also the height of the prism is 7 m.

Thus, the correct steps to calculate the volume of the right triangular prism are:

Use the formula A = one-half b h to find the area of the base.

The area of the base, A, is One-half (8) (14) = 56 meters.

The volume of the prism, V is (56) (7) = 392 meters cubed.

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Answer:

1139621600

Step-by-step explanation:

The answer is 1139621600, because if it is in 2001. All you have to o is multiply by 4. I don't know if this is correct. If they gave you another year and another set of numbers I would be able to clarify it more. So...if this isn't correct. I'm so sorry.

If you think its incorrect please say so in comments below. Any questions? Say them below as well.

I hope this helped.

:)

Signed,

tyreefrankinjr

The equation of the plane containing the points (-3, 2, -4), (-1, -2, -1) and (-1, -1, 1) in which the coefficient of x is -11 is given as:-21x - 14z - 119 = 0.

To obtain the equation of the plane containing the points (-3, 2, -4), (-1, -2, -1) and (-1, -1, 1) in which the coefficient of x is -11,

We follow the steps given below:

Find the vectors v1 and v2 connecting the points given above:

v1 = (-3, 2, -4) - (-1, -2, -1) = (-2, 4, -3)

v2 = (-3, 2, -4) - (-1, -1, 1) = (-2, 3, -3)

Now, the vector n perpendicular to the plane of the points can be found as the cross product of v1 and v2:

n = v1 × v2 = (-2, 4, -3) × (-2, 3, -3) = (6, 0, 2)

Thus, the equation of the plane containing the points (-3, 2, -4), (-1, -2, -1) and (-1, -1, 1) can be given as:

6x + 0y + 2z + d = 0

Where d is a constant to be determined.

Now, since the coefficient of x is -11, we have:

-11 = 6

d = (-21)

Therefore, the equation of the plane containing the points (-3, 2, -4), (-1, -2, -1) and (-1, -1, 1) in which the coefficient of x is -11 is given as:-21x - 14z - 119 = 0.

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Answer:

33 miles

Step-by-step explanation:

Trip to airport:

distance = d1

speed = s1 = 55 mph

time = t1

Trip home:

distance = d2

speed = s2 = 45 mph

time = t2

We are told the same route was used for both trips, so

d1 = d2

The total time was 1 hr 20 min = 1 hr + 20/60 hr = 4/3 hr.

t1 + t2 = 4/3

t2 = 4/3 - t1

speed = distance/time

distance = speed * time

d1 = s1 * t1

d2 = s2 * t2

d1 = d2, so

s1 * t1 = s2 * t2

t2 = 4/3 - t1; s1 = 55; s2 = 45

55 * t1 = 45(4/3 - t1)

55t1 = 60 - 45t1

100t1 = 60

t1 = 0.6

The time to get the the airport was 0.6 hr. Now we find the distance.

d1 = s1 * t1

d1 = 55 * 0.6

d1 = 33

The distance is 33 miles.

The airport is at a distance of 33 miles from Dara's home.

Speed is directly proportional to distance and inversely proportional to time. Its equation is given as:

Speed = Distance/Time.

The other equations, formed using this equation are:

Distance = Speed*Time

Time = Distance/Speed.

In the question, we are informed that Dara drove from home to the airport to pick up her friend and then came back home on the same route. Her average speed on the way to the airport was 55 miles per hour (mph), and her average speed on the way back home was 45 mph.

We are asked to find the distance between Dara's home and the airport, if the total driving time was 1 hour 20 minutes.

We assume the distance between Dara's home and the airport to be x miles.

As she went to the airport and came back from the airport via the same route, her distance in both the cases will be x miles.

Time taken by Dara to go from home to the airport,

t1 = Distance/Speed = x/55 (Since, her average speed on the way to the airport was 55 mph).

Time taken by Dara on the way back home,

t2= Distance/Speed = x/45 (Since, her average speed on the way back home was 45 mph).

Now, total driving time can be written as,

t1 + t2,

= x/55 + x/45,

= (9x + 11x)/495,

= 20x/495,

= 4x/99.

Now, we know that this time is given as 1 hour and 20 minutes = 1 1/3 hours = 4/3 hours.

Therefore, we an write the equation:

4x/99 = 4/3,

or, x = (4*99)/(4*3) = 33.

Therefore, the airport is at a distance of 33 miles from Dara's home.

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a) m∠rst = 28°,

b) m∠abd = 62°,

and c) bs = 10 ft .

Explanation:In the given figure, ac = 5ft and m∠abc = 28°. Since the smaller triangles are all congruent to each other, triangle abc is congruent to triangle dbe. Therefore, be = 5ft.Using the law of sines on triangle abe,sin 28°/ab = sin 62°/5 => ab ≈ 6.25ftSince ab = rs, we can say that rs = 6.25ft.Using the law of sines on triangle abc,sin 62°/bc = sin 28°/5 => bc ≈ 10.83ftUsing the law of sines on triangle bcd,sin ∠bcd/10.83 = sin 62°/5 => sin ∠bcd ≈ 0.96 => ∠bcd ≈ 75.5°Therefore, ∠rst = ∠bcd ≈ 75.5°.

Therefore, a) m∠rst = 28°, b) m∠abd = 62°, and c) bs = 10 ft.

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The value of y for the given expression is y = -1.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

The given expression is ( 2y +5 ) / ( y +4 ) = 1.

The expression will be solved as below,

( 2y +5 ) / ( y +4 ) = 1.

( 2y +5 ) = ( y +4 )

2y - y = 4 - 5

y = -1

Therefore, the solution is y = - 1.

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The 95% confidence interval for the difference between the two population proportions is (0.1, 0.16).

The parameter being estimated is the difference between two population proportions.

To find the 95% confidence interval for this parameter, we can use the margin of error formula:

where z is the z-score for the desired level of confidence (95% in this case), p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes.

We know that the difference between the sample proportions (phat1 - phat2) is 0.13, and the margin of error is 3%. Since the sampling distribution is assumed to be symmetric and bell-shaped, we can assume that the standard deviation of the difference between the sample proportions is equal to the standard error, which can be estimated by the margin of error.

Setting up an equation using the margin of error formula, we get:

We don't know the sample sizes or the sample proportions, so we can't solve for the confidence interval directly. However, we can use a conservative estimate for the standard deviation of the difference between the sample proportions:

Using this formula, we get:

This is approximately equal to the margin of error, so we can assume that z ≈ 1.96 (the z-score for 95% confidence) and use the formula:

Therefore, the 95% confidence interval for the difference between the two population proportions is (0.1, 0.16).

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Step-by-step explanation:

there is no step by step it is just 4 the answer is 4

Answer:

Step-by-step explanation:

The graph is in the first quadrant and is decreasing.

Correct choice is A

The probability that the person selected is older than 20 years old and watching the drama movie is 0.765.

We have,

The total number of people who watch drama.

= 12 + 20 + 19

= 51

The total number of people who is older than 20 years who watch drama.

= 20 + 19

= 39

Now,

The probability that the person selected is older than 20 years old and watching the drama movie.

= 39/51

= 0.765

Thus,

The probability that the person selected is older than 20 years old and watching the drama movie is 0.765.

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Answer:

53.9 Kilograms of sugar in 7 hours

Step-by-step explanation:

7*7.7=53.9

Answer:

-3

_________________________

Answer:

-3

Step-by-step explanation:

To solve plugin R and S in the expression. Then you get 12*-4/16. To solve this remember the order of PEMDAS (parentheses, exponents, multiplication, division, addition, and subtraction). So first, multiply 12*-4 to get -48. Next divide that by 16 to get your final answer -3.

Answer: Number 11 is       21/5

Number 10 is  35/96

Step-by-step explanation:

Answer: 4

Step-by-step explanation: just divide 24 by 6

Answer:

a) 199

f(-6)= 5(-6)^2 - 3 (-6) + 1 =199

b) 37

f(3)= 5(3)^2 - 3 (3) + 1 =37