An airplane leaves Los Angeles and travels 5 hours to New York City. The return trip travels along the same route and takes 6 hours and 15 minutes because the plane travels 99 mph slower due to a headwind. Find the distance the plane flies between the two cities.

Answer: 246 right-handed students

Step-by-step explanation:

70%=

70/100=0.7

352*0.7=246.4

246.4=246 right-handed students   ==> I rounded the answer since you can have 246 students and an additional 0.4 students. You can't have part of a student.

Answer:

In ascending order:8,10,11,12,13,14,20

N=7

Step-by-step explanation:

Position of median=(N+1/2)th item

=(7+1/2)th item

(8/2)th item

4th item

=:4th item =12

So,12is median quiz score.

Hope this helpful for you.

Three answers all equivalent:

5.476190...

115/21

5 10/21

pick whichever is applicable, they are all the same

Answer:

Answer:

Hello,

Step-by-step explanation:

[tex]u_2=u_1*r\\u_3=u_1*r^2\\u_4=u_1*r^3\\\\\dfrac{u_4}{u_3} =r=\dfrac{-56}{28} =\boxed{-2}\\\\u_1=\dfrac{u_3}{r^2} =\dfrac{28}{(-2)^2} =\dfrac{28}{4}=\boxed {7}\\\\\\\displaystyle\ s=\sum_{i=1}^6\ u_i\\\\=u_1*\sum_{i=1}^6\ r^{i-1}\\\\=7*\dfrac{(-2)^6-1}{-2-1} \\\\=-7*\dfrac{65}{3} \\\\\\\boxed{s=-\dfrac{455}{3} }\\[/tex]

Answer:

Step-by-step explanation:

Answer:Yes,these are pythagorean triplets because you can divide all three by the same number which is 4.

Step-by-step explanation:12 divided by 4 is 3. 16 divided by 4 is 4. And 20 divided by 4 is 5.

Answer:

Yes

Step-by-step explanation:

They all have a scale factor of 4 and 3,4,5 are also Pythagorean triplets

When a coin will be flipped three times, and the number of heads recorded. The reason that, this is a binomial experiment is "there are a set number of trials, n. The coin would be flipped three times, a fixed number of times."

A binomial experiment is one that has a fixed number of independent trials only with two outcomes. For instance, the outcome could be a yes or no response. When you toss a coin, you might wonder, "Will I get heads?" The response is either yes or even no.

That is the basic idea, but in order to label an experiment a binomial experiment, the following rules must be followed.

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Answer:

x = 3

Step-by-step explanation:

Separate | 2 + x | = | x - 8 | into 2 possibilities

2 + x = x - 8

2 + x = -x + 8 (right side's signs are swapped)

Solve the equations:

Top equation results in no solution as the x's cancel out.

2 + x = -x + 8

2x = 6

x = 3

| 2 + 3 | = | 3 - 8 |

| 5 | = | -5 |

5 = 5

This is the correct solution.

Let's solve the problem,

→ |2 + x| = |x - 8|

→ 2 + x = -(x - 8)

→ 2 + x = -x + 8

→ x + x = 8 - 2

→ x = 6/2 = 3

Hence, the value is 3.

The graph of the combined inequality, 1 < y + 7x ≤ 12, is shown below. The correct graph is graph b.

From the question, we are to graph the given inequality

The given inequality is

1 < y + 7x ≤ 12

First, we will separate the inequality

1 < y + 7x and y + 7x ≤ 12

1 < y + 7x

We will determine two points on the line

1 = y + 7x

When x = 0

1 = y + 7(0)

1 = y

y = 1

(0, 1)

When y = 8

1 = y + 7x

1 = 8 + 7x

1 -8 = 7x

-7 = 7x

x = -7/7

x = -1

(-1, 8)

We can use these two points to plot the line of 1 < y + 7x

Also,

We will determine two points on line y + 7x ≤ 12

y + 7x = 12

When x = 0

y + 7(0) = 12

y + 0 = 12

y = 12

(0, 12)

When y = 5

5 + 7x = 12

7x = 12 - 5

7x = 7

x = 7/7

x = 1

(1, 5)

We can use these two points to plot the line of y + 7x ≤ 12

The graph of the combined inequality, 1 < y + 7x ≤ 12, is shown below. The correct graph is graph b.

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The solution for the system of equations 3x + 6y = 6 and 2x + 2y = 6 is

B) There is one unique solution, (4, -1).

The solutions for a system of equation is the intersecting points between them

We know that system of equations has an infinite number of solutions when they coincide with each other as every point of a line falls into another line.

Systems of equations have a unique solution when they intersect each other and that intersecting point is the solution.

The system of equations has no solution when they are parallel to each other.

So, now we'll graph this system of equations and observe where they lie in XY coordinate.

Observing the graphs of both of these equations we can conclude that they have a unique solution (4,-1).

We can also solve these equations by multiplying equation(ii) by 3 and subtracting it from equation(i) and obtaining the values of (x,y).

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Mean and standard deviation is more affected by extreme observations.

Mean is the summation of all the values divided by the total number of values. It is also called as average. Median is the middle value.Standard deviation is the dispersion of a dataset relative to its mean. In case of extreme items arithmetic mean is affected very much. For this reason, it no longer remains representative of the distribution. As standard deviation is the positive square root of the arithmetic mean of the square of deviations of all given values, it is also affected by extreme items. As median is a partition value, it is not affected by extreme items.

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Answer:

The answer is D.

Step-by-step explanation:

Answer:9

Step-by-step explanation:

9

Answer:

x = -7

Step-by-step explanation:

2(x-4) = -22

2*x + 2*-4 = -22

2x - 8 = -22

2x = -22 + 8

2x = -14

x = -14/2

x = -7

Check:

2(-7-4) = -22

2*-11 = -22

Answer:

Let x = the cost of a movie

Let y = the cost of a game

Using these variables, we can set up equations.

3x + 5y = 42 eq1

9x + 7y = 72 eq2

We have here a system of equations, where we have two or more equations with two or more different variables. We use the elimination method to solve for the variables.

Multiply eq1 by 3. Keep eq2.

9x + 15y = 126 eq1

9x + 7y = 72 eq2

Subtract eq2 from eq1 to eliminate the x terms.

8y = 54

y = 6.75

This rental cost of one video game is $6.7

Substitute the value of y into eq1 to solve for x. This will give you the rental cost of one movie.

Step-by-step explanation:

pa brainly po

The cost of movie is $4.5 and cost of video game is $5.75.

Two or more expressions with an Equal sign is called as Equation.

Let x be the cost of movie and y be the cost of video game

Calvin rents 3 movies and 2 video games and spends a total of $25.

3x+2y=25...(1)

Samantha rents 2 movies and 1 video game and spends a total of $14.75.

2x+y=14.75

y=14.75-2x..(2)

Substitute (2) in equation (1)

3x+2(14.75-2x)=25

3x+29.5 -4x=25

-x+29.5 = 25

Subtract 29.5 from both sides

-x=25-29.5

x=4.5

Now let us plug in x value in equation (2)

y=14.75-2(4.5)

y=5.75

Hence, the cost of movie is $4.5 and cost of video game is $5.75.

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Answer:

13

Step-by-step explanation:

You just have to minus 17 with 4 to get the answer!

Distance = 17 - 4 = 13 units

The expression in scientific notation is given as follows:

3.5 x 10³.

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

For this problem, the expression is given by:

[tex]\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3}[/tex]

When two factors of a multiplication have the same base and different exponent, we keep the base and add the exponents, hence:

[tex]10^2 \times 10^4 = 10^6[/tex]

5 x 4.2 = 21, hence the expression is:

[tex]\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3} = \frac{21 \times 10^6}{6 \times 10^3}[/tex]

When we divide two terms with the same base and different exponents, we keep the base and subtract the exponents, hence:

[tex]\frac{21 \times 10^6}{6 \times 10^3} = 3.5 \times 10^3[/tex]

Which is the simplified expression.

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The value of the underlined digit 2.439 , 1.987 ,  6.175 , and 0.618 is equal to tenth, thousandth, Ones and tenth.

As given in the question,

Given number = 2.439 , 1.987 ,  6.175 , and 0.618

Value of underlined digit :

2.439 = Tenth or 4 / 10

1.987 = Thousandth or 7/1000

6.175 = Ones or 6

0.618 = Hundredth or 1/100

Therefore, the value of the underlined digit 2.439 , 1.987 ,  6.175 , and 0.618 is equal to tenth, thousandth, Ones and tenth.

The complete question is :

How do i write the value of this underlined digit 2.439 , 1.987 ,  6.175 , and 0.618 ?

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Answer: 401

Step-by-step explanation:

-177 + 578 = 401

Answer:

1400x

Step-by-step explanation:

10^3 in scientific notation means to move the decimal 3 places to the right.

Answer:212

Step-by-step explanation: 36 plus 36 40 plus 40 29 plus 29 19 plus ten then add the sums then u get 212

The system of inequalities is y ≤ 12 - x and y ≥ 8 - (3/5)x and the point (2 , 8) satisfies both inequalities.

A mathematical statement known as an inequality contrasts two algebraic expressions using the greater-than (>), less-than (<), and other inequality symbols. A compound inequality is a pair of inequality related by and or or or. The properties of inequalities will be used in this course to solve linear and compound inequalities in one variable. Absolute-value equations and inequalities continue to be studied.

While there are many similarities between solving equations and solving inequalities, we must also take the direction of the inequality into consideration.

Now let us form the two inequalities:

If x is the number of hours she worked babysitting and y is the number of hours she spent lifeguarding then

x + y ≤ 12

or, y ≤ 12 - x

Now if she makes 12 dollars babysitting and 20 dollars lifeguarding then

12 x + 20 y ≥ 160

or , 20y ≥ 160 - 12x

or , y ≥ 8 - 3/5x

Let us solve the inequalities graphically.

From the graph we can see that

the point (2 , 8) satisfies both inequalities.

So if Naomi works 2 hours babysitting and 8 hours lifeguarding she can satisfy both conditions.

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Percent of residents have at least one traffic violation with 80% held a valid driver’s license,10% has at least one traffic violation and 30% does not have valid license is 14%.

As given,

A=Person has a driver license

A'=Person does not have a driver license

P(A)=0.80

P(A')=0.20

For A, 10% has at least one traffic violation

For A', 30% had at least one traffic violation.

Probability with at least one traffic violation

=Probability of( A and one traffic violation +A' and one traffic violation)

=0.80(0.10)+0.20(0.30)

=0.08+0.06

=0.14

=14%

Therefore, percent of the residents with at least one traffic violation is 14%.

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Answer: 1) m=12/7   2) y=(12/7)x

Step-by-step explanation:

C(0,0)   D(7,12)

[tex]\displaystyle\\1)\ Slope=m=\frac{rise}{run} =\frac{y_D-y_C}{x_D-x_C} \\\\m=\frac{12-0}{7-0} \\\\m=\frac{12}{7}[/tex]

[tex]\displaystyle\\2)\ y=mx+b\ \ \ \ m=\frac{12}{7} \ \ \ \ C(0,0)\\0=\frac{12}{7} *0+b\\\\0=0+b\\\\0=b\\\\Hence,\\\\y=\frac{12}{7} x+0\\\\y=\frac{12}{7}x[/tex]

Answer:

C= [tex]\frac{AD}{B}[/tex]

Step-by-step explanation:

the answer is c because I said it c and the way you get the answer is by dividing the equality of the fraction

Answer:

M = n(y/x)

Step-by-step explanation:

M/n = y/x

Multiply both sides by N to cancel it out.

M = n(y/x)

We need to know about cube-root function and reflection to solve this problem. The function is f(x)=[tex]-\sqrt[3]{x-4}[/tex]

A cube-root function is the inverse of a cubic function, a cubic function can be given by f(x)=[tex]x^{3}[/tex], the inverse of this is a cube-root function which can be given by f(x)=[tex]\sqrt[3]{x}[/tex] with vertex at (0,0). The general formula for a cube root function is given be

f(x)=a[tex]\sqrt[3]{x-h} +k[/tex] where a is the measure of how horizontally compressed the graph is and (h,k) is the vertex of the graph. In the question we have to find a cube root function which has been reflected about the y-axis, which means our a will be negative. The vertex of the graph is at (4,0) so (h,k) is (4,0). Thus the cube root function we need is

f(x)=-[tex]\sqrt[3]{x-4}[/tex]

Therefore we found the cube root function that has been reflected about y-axis and the vertex at (4,0) to be  f(x)=[tex]-\sqrt[3]{x-4}[/tex]

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Answer:

No. They include 2 different elements that are unrelated, being x and y, making them unlike terms.

Answer:no

Step-by-step explanation:in order for them to be like terms they would have to have the same variables

Answer: The value of (1 + sin 8)(1-sin 8) (1 + cos 0) (1 - cos8) =0.2086

and [tex]cot^{1}[/tex]θ=7/8

Step-by-step explanation:

Let base and height of a triangle be 7k and 8k

By applying Pythagoras theorem in Δ ABC, we get

[tex]AC^{2} = AB^{2} +BC^{2}[/tex]

= (7k)2 + (8k)2

= 49k2 + 64k2

= 113k2

AC = √113k2

= √113k

so hypotenuse =[tex]\sqrt{133}k[/tex];

now ;

=(1 + sin θ) (1 - sin θ)(1 + cos θ) (1 - cos θ)[since : (a + b)(a - b) = (a2 - b2)]

=(1 - [tex]sin^{2}[/tex]θ)(1 - [tex]cos^{2}[/tex]θ)

=[1 - (8/√113)2] [1 - (7/√113)2]

= (1 - 64/113) (1 - 49/113)

= (49/113) (64/113)

= 0.2086

hence;

The value of (1 + sin 8)(1-sin 8) (1 + cos 0) (1 - cos8) =0.2086

and [tex]cot^{1}[/tex]θ=7/8

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Answer:

Step-by-step explanation:We will use the basic concepts of trigonometric ratios to solve the problem.

Consider ΔABC as shown below where angle B is a right angle.

If cot θ = 7/8, evaluate: (i) (1 + sin θ)(1 - sin θ) / (1 + cos θ)(1- cos θ), (ii) cot²θ

cot θ = side adjacent to θ / side opposite to θ = AB/BC = 7/8

Let AB = 7k and BC = 8k, where k is a positive integer.

By applying Pythagoras theorem in Δ ABC, we get

AC2 = AB2 + BC2

= (7k)2 + (8k)2

= 49k2 + 64k2

= 113k2

AC = √113k2

= √113k

Therefore, sin θ = side opposite to θ / hypotenuse = BC/AC = 8k/√113k = 8/√113

cos θ = side adjacent to θ / hypotenuse = AB/AC = 7k/√113k = 7/√113

(i) (1 + sin θ) (1 - sin θ) / (1 + cos θ) (1 - cos θ) = 1 - sin2θ / 1 - cos2θ  [Since, (a + b)(a - b) = (a2 - b2)]

= [1 - (8/√113)2] / [1 - (7/√113)2]

= (1 - 64/113) / (1 - 49/113)

= (49/113) / (64/113)

(ii) cotФ≈

= 49/64

Answer:i have same question

Step-by-step explanation: