Evan invested $2500 in the stock market.
Four months later, the value of the
investment dropped to $2248. Find the
average monthly change in the value of
the investment.

Answer:

If the length of a tree's shadow is 35.25 meters. The height of the tree to the nearest hundredth of a meter will be : 11.74m

Given:

Denora height=1.35 meters

Length =35.25 meters

Width =31.2 meters

Height of the tree=x

Proportion:

1.35 : 35.25 :: x : 31.2

Now let's determine the height of the tree:

35.25 - 31.2 / 1.35 = 35.25 / x

4.05 / 1.35 = 35.25 / x

Cross multiply

4.05x = 35.25 × 1.35

4.05x = 47.58

Divide both sides

x = 47.58 / 4.05

x = 11.74

In conclusion, if the length of a tree's shadow is 35.25 meters. The height of the tree to the nearest hundredth of a meter will be: 11.74m

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

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.

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: The absolute value inequality will be |x| ≥ -2.

Step-by-step explanation: gl :)

Answer:

more simple here da answer but this answer is from the person above i just putted the answer

The absolute value inequality will be |x| ≥ 6

x= -0.706, y= 4.529

The mathematical expression with unequal sides is known as an inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), or not equal to symbol (), is used in place of the equal sign "=" in the expression. Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics.

3x+4y z 16

-4x+6y< 30

Solving the two equations we get,

x=-0.706, Y= 4.529

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-2 9 2 is the change in points from Tuesday to Wednesday in stock market.

What does the term "stock market" mean?

What does the stock market represent?

The stock market closed on Tuesday = -284 points

On Wednesday  it closed = -8

the change in points from Tuesday to Wednesday = -284 - 8 =   -2 9 2

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Answer:

The answer is D.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

Since the angle is greater than 95, y must be greater than x

3/8 pints of milk will fill an empty mug of the same size.

In this question, we have been given Pia poured 1/4 pint of milk into an empty mug.

The milk filled 2/3 of the mug.

We need to find the pints of milk that will fill an empty mug of the same size.

Let 'm' pints of milk will fill an empty mug of the same size.

From given data, we get proportion.

⇒ (1/4) / (2/3) = m / 1

We simplify above equation to find the value of m.

⇒ (2/3) m = 1/4

⇒ m = (1/4) × (3/2)

⇒ m = 3/8

Therefore, 3/8 pints of milk will fill an empty mug of the same size.

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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:

1400x

Step-by-step explanation:

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

Answer:

$8.50

Step-by-step explanation:

This is a division problem.

You need to divide $25.50 by 3.

25.5/3 = 8.5

Answer: Each sister pays $8.50.

Answer:

$8.50

Step-by-step explanation:

Since the gift is $25.50, including tax, and there are three sisters, divide the cost of the gift ($25.50) by the number of sisters (3) to find how much each one of them has to pay.

25.50 ÷ 3

= $8.50

Each sister should pay $8.50.

Have a lovely rest of your day! :)

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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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: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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Three answers all equivalent:

5.476190...

115/21

5 10/21

pick whichever is applicable, they are all the same

Answer:

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.

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:

13

Step-by-step explanation:

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

Distance = 17 - 4 = 13 units

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: 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

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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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]

The points ( 3. 125, 0) represents the time intervals for which the rocket reaches a height of - 312. 5 feet

Given the function;

h(t)= -16t^2+50t

Where;

The time interval to reach the height of the rocket is ( 3. 125 , 0)

Time interval, t = 0 - 3. 125

Time interval, t = -3. 125

Substitute the value into the formula

h(t) = - 16(-3. 125)² + 50(-3. 125)

h(t) = -16(9. 765) - 156. 25

h(t) = - 156. 25 -  156. 25

h(t) = -312. 5 feet

Thus, the points ( 3. 125, 0) represents the time intervals for which the rocket reaches a height of - 312. 5 feet

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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