x+3=4x
solve for x
please i need it for a test

The probability that the student plays a sport and is involved in theatre is 82%*20%=16.4% which is approximately equal to 14%.

The probability that the student plays a sport and is involved in theatre can be calculated using the following formula:

P(A∩B)=P(A)*P(B|A)

Where P(A) is the probability of playing a sport (70%) and P(B|A) is the probability of being involved in theatre given that the student plays a sport (20%).

Therefore, P(A∩B)=0.7*0.2=0.14

This means that the probability that the student plays a sport and is involved in theatre is 14%. This can also be calculated by subtracting the probability of not playing a sport or being involved in theatre (18%) from 100%. That is, 100%-18%=82%. Since 20% of the 82% are involved in theatre, the probability that the student plays a sport and is involved in theatre is 82%*20%=16.4% which is approximately equal to 14%.

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The normal of a function is a line that is perpendicular to the tangent line at a particular point on the curve.

The normal of a function can be used to find the equation of the tangent line to the curve at a particular point. This is done by finding the slope of the normal and the coordinates of the point of tangency, and then using these values to write the equation of the line in slope-intercept form (y = mx + b).

For example, consider the curve y = x^2. If we want to find the equation of the tangent line to this curve at the point (2,4), we can take the derivative of y = x^2, which is y' = 2x. Setting x equal to 2, we find that the slope of the tangent line at (2,4) is 4.

The normal to this curve at (2,4) is perpendicular to the tangent line, so its slope is the negative reciprocal of the slope of the tangent line, or -1/4. We can then use the coordinates of the point of tangency (2,4) and the slope of the normal (-1/4) to find the equation of the normal: y - 4 = -1/4(x - 2), which simplifies to y = -x/4 + 2.

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Answer:

2x^2+4x-5

Step-by-step explanation:

The solution of the given system of equation are  x = 9 and y = 2.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that the system of equation as;

3x-2y=23

X-3y=3

x = 3 + 3y

Now using substitution method, we get;

3x-2y=23

3(3 + 3y)-2y=23

9 + 9y - 2y = 23

7y = 23 - 9

7y = 14

y = 2

So, x = 3 + 3(2) = 9

Therefore, the solution are x = 9 and y = 2.

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Answer:

14

Step-by-step explanation:

If 8 bucketfuls of the green one is used, that makes it 28 gallons (3.5×8)

It's asking you how many bucketfuls you need to obtain the same aount of water. And the amount of water is 28 gallons. So how will you know how many bucketfuls of the orange you need to obtain 28 gallons? Just maths

For orange:

2 gallon = 1 bucketful

1 gallon = ½ bucketful

28 gallons = 14 bucketful (28×½ which also equals 28÷2)

The slope-intercept form of the equation is b = -0.0016a + 210 and the boiling point at 2300ft is 206.32°F

A linear function is an equation that describes a straight line when graphed. It has the form y = mx + b, where m is the slope of the line and b is the y-intercept. Linear functions are used to model relationships between two variables, such as the cost of a product and its quantity.

In this problem, we can model the boiling point in form of a linear equation.

The data given;

The slope can be calculated as;

m = y₂ - y₁ / x₂ - x₁

m = 202.8 - 197.04 / 4500 - 8100

m = -0.0016

Using this in the slope-intercept form of a linear function, we can find the y-intercept.

y = mx + c

Taking one point;

202.8 = -0.0016(4500) + c

c = 210

The linear equation can be written as

b = -0.0016a + 210

b) The boiling point at 2300ft

b = -0.0016(2300) + 210

b = 206.32°F

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Answer:

Mode

Step-by-step explanation:

Answer:  [tex]a_n = 2n+5[/tex]

==================================================

Work Shown:

[tex]a_n = a_1 + d(n-1)\\\\a_n = 7 + 2(n-1)\\\\a_n = 7 + 2n-2\\\\a_n = 2n+5\\\\[/tex]

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

Explanation:

We plug in [tex]a_1 = 7 \ \text{ and } \ d = 2[/tex] as they represent the first term and common difference in that order. The common difference is 2 because the number of chairs increases by 2 each time you move up a row.

To verify that answer, let's plug in the value n = 1

[tex]a_n = 2n+5\\\\a_1 = 2(1)+5\\\\a_1 = 2+5\\\\a_1 = 7\\\\[/tex]

Which matches with the first term being 7. I'll let you verify other terms.

[tex]\begin{array}{ccll} pages&minutes\\ \cline{1-2} 57 & 60\\ 95& m \end{array} \implies \cfrac{57}{95}~~=~~\cfrac{60}{m} \\\\\\ \cfrac{ 3 }{ 5 } ~~=~~ \cfrac{ 60 }{ m }\implies 3m=300\implies m=\cfrac{300}{3}\implies m=100[/tex]

V(t) = 30 * e^(-0.012t) is the value of the car after t years.

The value of the car 2 years from now will be approximately $29,300.

Let's call the original value of the car V0, and the decay factor k. The exponential model representing the value of the car after t years is given by:

V(t) = V0 * e^(-kt)

To find the value of the car after 3 years, we can plug in t=3 into the equation:

V(3) = V0 * e^(-k*3) = 18

We can rearrange the equation to solve for the decay factor k:

k = -ln(V(3)/V0)/3

Plugging in the known values, we get:

k = -ln(18/V0)/3

Since the value of the car has decreased by 40%, V0 = 18 / (1 - 0.4) = 30. Therefore, k = -ln(18/30)/3 = -0.012.

Therefore, the exponential model representing the value of the car after t years is:

V(t) = 30 * e^(-0.012t)

V(2) = 30 * e^(-0.012*2) = 30 * e^(-0.024) = 30 * 0.977 = 29.3

This model represents the value of the car in thousands of dollars.

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According to the decreasing exponential value, the exponential function for the given situation is written as [tex]E(t) = 30 \times e^{-0.012t}[/tex] and the value of the car 2 years from now will be approximately $29,300.

Here we have given that  a new xar 3 years ago. Its value has decreased exponentially by 40 percent since I got it and it's now worth $18,000

Here let us consider that the original value of the car E0, and the decay factor k.

Then the exponential model representing the value of the car after t years is written as

=> [tex]E(t) = E0 \times e^{-kt}[/tex]

Here we need to find the value of the car after 3 years, then we have to  plug in t=3 into the equation, then we get,

[tex]E(3) = E0 \times e^{-k\times3}= 18[/tex]

Now, we have to rearrange the equation to solve for the decay factor k, then we get the value as,

=> k = [-ln(E(3)/E0)]/3

Now, we have to put the values on the equation then we get

=> k = [-ln(18/V0)]/3

Here we know that the value of the car has decreased by 40%,

Therefore, it can be written as,

=> E0 = 18 / (1 - 0.4) = 30.

Therefore, the value of

=> k = -ln(18/30)/3 = -0.012.

Now the exponential model representing the value of the car after t years is calculated as

[tex]E(t) = 30 \times e^{-0.012t}[/tex]

Apply the value of t as 2, then we get the value of E(T) as,

=> [tex]E(t) = 30 \times e^{-0.012\times 2}[/tex]

=> E(T) = 29.2

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Answer:

6.45kg

Step-by-step explanation:

there are 1000g in one kilogram

250g/1000g=0.25kg

4.2kg+2.25kg=6.45kg

Answer:

6.45kg

Step-by-step explanation:

First, let us convert all the values into grams.

Weight of a watermelon ⇒ 4.2 kg

Multiply by 1000 to convert it to grams.

Weight of a watermelon ⇒ 4200 g

Weight of a pumpkin ⇒ 2kg 250g

First, multiply 2kg by 1000 to convert it to grams and add it to 250 grams.

Weight of a pumpkin

⇒ ( 2 × 1000 ) + 250

⇒ 2000 + 250

⇒ 2250 g

Total Weight  :

To get the total weight, add the weights of the watermelon and pumpkin in grams.

Total weight ⇒ 4200g + 2250g

                     ⇒ 6450g

Now to convert the answer into kilograms, divide the answer by 1000.

⇒ 6450/1000 = 6.45kg

Tori's loss from the stock will be $28.29 and her rate of return will be -84.75%.

While a high share price discourages trading in the company's stock, it advertises its stellar performance to existing and potential investors.

A high share price also discourages corporate takeovers, assuring the jobs of senior management. Existing investors can realize some quick gains by selling their shares at high profits.

Since Tori bought one share of Macy's stock on Nov 1, 2016, for $33.38 and she sold it and the closing price for that day was $5.09, her loss will be;

= $5.09 - $33.38

= -$28.29

Her rate of return will be:

= -28.29/33.38 × 100

= -84.75%

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Triangle ABD is an equilateral triangle because all three angles in the triangle are equal to 60°.

An equilateral triangle is a triangle in which all three sides as well as all three angles in the triangle are equal.

The three angles in an equilateral triangle are all equal to 60°.

Considering the given triangle;

angle DCB = 30°

angle CBD = 30° ( base angles of an isosceles triangle)

angle BDC = 120° ( sum of angles in a triangle)

angle ADB = 60° ( sum of angles in a straight line)

angle ABD = 60° (90° - 30°)

angle BAD = 60° (sum of angles in a triangle)

Hence, ABD is an equilateral triangle.

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Answer:

Step-by-step explanation:

27 years old

The function is y=3x-16 and the rate of change is 3 when a  table of values that models a linear function.

Given that,

We have a table of values that models a linear function.

We have to find the rate of change of the function.

We know that,

x     |       y

-3   |      -25

1     |     -13

3    |      -7

8    |      8
So,

The equation of the function is

y=mx+b

Taking two points

(1,-13) and (3,-7)

m = -7+13/3-1 = 6/2 = 3

Now,

-7= 3(3)+b

b=-7-9

b= -16

So, y= 3x-16

Therefore, The function is y=3x-16 and the rate of change is 3 when a  table of values that models a linear function.

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We can apply a vertical line test to determine whether or not a graphical plot or drawing is a function.

Choose the output values. You should classify a connection as a function if each input value results in only one output value. Don't categorise the relationship as a function if any input value results in two or more outputs. However, a relation is not always a function and vice versa. An association between a student's roll number and their math test scores, for instance, can be made.

This allows us to have pairs like (A, B), (C, D), etc. Although there is a relationship, there may not be one. Functions need that the output be the same for the same input, and this is true. However, this is not a must for a relationship. Since two different students with two different Roll numbers could receive the same grades. Relations That Do Not Function.

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Answer:

Step-by-step explanation:

Awnser: 3 to 1

Answer:

3:1

Step-by-step explanation:

12 inches in a foot

12 divided by 4 is 3 hope this helps:)

The following is one of the requirements for using a one-way, between-subjects Anova is the data must be measured on a continuous scale.

One of the requirements for using a one-way, between-subjects ANOVA is that the data must be measured on a continuous scale. This means that the variable being measured (such as time, weight, or temperature) should be able to take on any value within a certain range.

Another requirement for using a one-way, between-subjects ANOVA is that the data must be independent. This means that the observations for each group should not be related to one another in any way. For example, if the groups being compared are different treatment groups in a medical study, it would not be appropriate to use a one-way, between-subjects ANOVA if the patients in each group were related to one another (such as siblings or close friends).

The third requirement is that the data should be approximately normally distributed in each group. A normal distribution is a probability distribution that has a bell shape, which means that the data is symmetric and the mean, median, and mode are equal. The ANOVA assumes that the data is normally distributed and if the data is not normally distributed, the results may be unreliable. This requirement can be checked by using normality test such as Shapiro-Wilk test.

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The expression equivalent to the given expression is [tex]-5 \frac{1}{4}x - \frac{1}{2}[/tex], hence the correct option is D.

What is mixed fraction?

A mixed fraction is one that is represented by both its quotient and remainder.

To covert a fraction into mixed fraction:

By denominator, divide the numerator. Take the quotient as a whole number and use the remaining amount as the proper fraction's numerator while maintaining the original denominator.

In the given expression solve the brackets and seperate the like terms as follows:

[tex]-\frac{1}{2}(-\frac{3}{2}x + 6x + 1 ) - 3x\\ \\\frac{3}{4}x - 3x - \frac{1}{2} - 3x\\ \\ \frac{3}{4}x - 6x - \frac{1}{2}\\\\-\frac{21}{4}x - \frac{1}{2}[/tex]

Convert the fraction into mixed fraction by dividing the numerator and denominator:

[tex]-\frac{21}{4}x - \frac{1}{2} \\ \\-5 \frac{1}{4}x - \frac{1}{2}[/tex]

Hence, the expression equivalent to the given expression is option D.

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Answer:

The graph of the function y = sqrt(x + 1) - 2 is a transformation of the graph of the parent function y = sqrt(x). The parent function y = sqrt(x) is the square root function in its simplest form, with no transformation applied to it.

The transformation y = sqrt(x + 1) - 2 affects the parent function in the following ways:

The function inside the square root sign (x + 1) is shifted one unit to the right, meaning that the graph is shifted one unit to the right.

The function is then shifted two units downward, meaning that the graph is shifted two units downward.

As a result, the graph of y = sqrt(x + 1) - 2 is the same as the graph of y = sqrt(x), but shifted one unit to the right and two units downward.

Both of the functions has the same vertex point which is (-1,-2) and the domain is x>=-1 and the range is y>=-2.

It also shares the same shape as the parent function, an upward opening parabola with vertex at the origin.

Step-by-step explanation:

The amount of green beans that CJ bought at the market, given the amount of potatoes he bought, is 3. 75 pounds of green beans.

The amount of green beans that CJ bought, is related to the amount of potatoes that CJ bought in the market such that CJ bought 2. 5 times as many green beans as pounds of potatoes.

This means that the amount of green beans that CJ bought was :

= pounds of potatoes bought x number of times more green beans bought

= 1. 5 x 2 . 5

= 3 .75 pounds of green beans

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Answer:

689.6

Step-by-step explanation:

Let's say n is the number of numbers being added (n=8).

The average of the sum of n numbers is sum/n.

For example, let's say the numbers are 4, 5, and 6.

There are 3 numbers: 4, 5, and 6

4 + 5 + 6 = 15 ==> the sum of the numbers.

15/3 = 5 ==> 5 is the average of the numbers

5 * 3 = 15

Now back to the problem:

Since the average is 86.2, multiply that with the total number of numbers    (which is 8) to get the total sum of all numbers:

86.2 * 8 = 689.6

Hence, the answer is 689.6.

Answer:

Step-by-ste…….explanation:

Answer:

32

Step-by-step explanation:

2x2x2x2x2

4x2x2x2

8x2x2

16x2

32

The volume of the right circular cylinder is 126π m³.

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface.

Let's find the volume of the cylinder with a diameter of 6 meters and a height of 14 meters.

Therefore,

volume of a cylinder = πr²h

where

Therefore,

r = 6  /2= 3 meters

h = 14 metres

Hence,

volume of a cylinder = π × 3² × 14

volume of a cylinder = π × 9 × 14

volume of a cylinder = 126π m³

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The shaded portion of CUA'UB'  is given in the attached figure.

A set is a collection of well defined objects

The given sets are A , B , C and the universal set U.

A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items

Now we need to share the portion of CU(AnB)'

(AnB)'=A'UB' from the propertys

CUA'UB'

A'=U-A

B'=U-B

So the shaded portion of CUA'UB'  is given in the attached figure.

Hence, the shaded portion of CUA'UB'  is given in the attached figure.

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Answer:

Step-by-step explanation:

Use the distance formula of coordinate geometry.

Mark all the coordinates.

(-5, 5) , (-1, 7) , (4, -3) , (0, -5)

We need to find the length and width of the rectangle.

Lets pick, (4, -3) and (0, -5).

Distance formula,

√((x₁ - x₂)² + (y₁ - y₂)²)

or, √((4 + 0)² + (-3 + 5)² = √20 = 2√5 (width)

Again, we can take (-5, 5) and (0, -5)

√(25 + 100) = √125 = 5√5 (length)

Area of rectangle is length x width or 2√5 x 5√5 = 10 x 5 = 50 units²

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a) The equation that you can use to find out how many times Carlos stirred the batter is given as follows: 3y + y = 100.

b) The number of times that Carlos hit the batter is given as follows: 25 times.

The number of times is obtained via a system of equations, for which the variables are given as follows:

They stirred the batter 100 times in total, hence:

x + y = 100.

Elena stirred three times as many times as Carlos, hence:

x = 3y.

Hence the equation to obtain how many times Carlos hit the batter is given as follows:

3y + y = 100.

4y = 100

y = 100/4

y = 25 times.

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Answer:

16

Step-by-step explanation:

6 = [tex]\sqrt{w}[/tex] + 4/2

[tex]\sqrt{w}[/tex] = 6 - 4/2 = 6-2 = 4

([tex]\sqrt{w}[/tex])² = 4²

w = 16

**the square root of any number squared is the number

Answer:

2.7 rounding; exact = 2.76923076918

Step-by-step explanation:

26 divided by 12, multiplied by 6.

Answer:

Hey there! To answer this question, we need to determine the rate at which the snow was falling, and then use that rate to calculate how much snow fell during school hours.

We know that 12 inches of snow fell in 26 hours, so the rate at which the snow was falling is 12 inches / 26 hours = 0.46 inches/hour.

If we want to find out how much snow fell during school hours, which is approximately 6 hours, we can use the following formula:

Snowfall during school hours = rate of snowfall * time

Plugging in the values, we get:

Snowfall during school hours = 0.46 inches/hour * 6 hours = 2.76 inches

So if 12 inches of snow fell in 26 hours at a rate of 0.46 inches/hour, we can estimate that approximately 2.76 inches of snow fell during school hours.

I hope this helps! Let me know if you have any other questions.