Write each set of numbers in set-builder and interval notation

X>50

Answer:

x=57

Step-by-step explanation:

To solve this problem we need to make an equation to use to solve x.

The sum of 88 and x will equal 145 so the equation will look like this, 88 + x = 145.

Whatever x is, it has to add with 88 to make 145 so we have to use reverse operations.

The opposite of addition is subtraction so we subtract 88 from 145 like so. 145 - 88 = 57, which means x = 57.

If you need me to explain further don’t hesitate to ask me and I hope I helped! :)

Answer:

5 toppings

Step-by-step explanation:

The formula is y=2x+14 with x being the number of toppings and y the total price.

Plug in 25 as y to see how much x would be at that price.

25=2x+14

11=2x

x=5.5

You can't get half of a topping so you would have to round down to 5 toppings.

Answer:

you can order 4 toppings but if you wanted a specific answer, it would be 5.5

Step-by-step explanation:

you have 25, subtract 14, you have 11, divide 11 by 2, you get 5.5 but you cant get half so you have 4 if you round it

Answer:

5 - 10g + 20b

Step-by-step explanation:

(5 times 1) plus (5 times -3g)  plus (5 times 4h)

5 - 10g + 20h.

This is the answer.

#teamtrees #WAP (Water And Plant)

A) Stratified. The method of selecting a classroom number at random and then surveying all the students in that room is an example of stratified sampling.

In stratified sampling, the population is divided into smaller subgroups, or strata, based on a certain characteristic (such as grade level), and a sample is selected from each stratum. They call the subgroups strata and give information in the form of divisions for a better understanding of a topic or a piece of information.

After dividing the main matter the subtopics are also sampled randomly in order to acquire the right solution for the survey. this method is one of the better methods to be done in order to get better results on a topic.

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Time for which Bradly has to mow lawns to get $48:

We know that Bradly earn $3 every 3/4 hours of mowing lawns

Time taken by Bradly to get $1:

time taken by Bradly to get $1 = time taken to get $3 / $3

time taken = (3/4) / 3

time taken = 1/4 hours / dollar

Time taken by Bradly to get $48:

Time taken to get $48 = time taken to get $1 * 48

Time taken to get $48 = 1/4 * 48

Time taken = 12 hours

Therefore, after 12 hours of Mowing lawns, Bradly will have $48

The total number of boxes is the sum of all boxes each day

The total number of boxes he filled in the five days is \(23 \frac 18\)

The box each day is given as:

So, the total number of boxes is:

\(Total = 4\frac 78 + 5\frac 34 + 4\frac 72 + 4\frac 38 + \frac 58\)

Add the fractions

\(Total = 23 \frac 18\)

Hence, the total number of boxes he filled in the five days is \(23 \frac 18\)

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Answer:

y=1/3x +16/3

Step-by-step explanation:

m=(y2-y1) / (x2-x1)

   =(6-5) (2- -1)

    =1/3

Substitute in m and either point into the point slope form

y=m(x-x1) + y

y=1/3(x- -1) +5

y=1/3(x+1) +5

Now lets distribute the 1/3 to and combine the constants to put the answer in standard form

y=1/3x + 1/3 + 5

y=1/3x +1/3 + 15/3

y=1/3x +16/3

Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No

Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

Answer:

The slope of the tangent line to the curve at the given point is -11/7.

Step-by-step explanation:

Differentiation is an algebraic process that finds the gradient (slope) of a curve.  At a point, the gradient of a curve is the same as the gradient of the tangent line to the curve at that point.

Given function:

\(4x^2+5xy+y^4=370\)

To differentiate an equation that contains a mixture of x and y terms, use implicit differentiation.

Begin by placing d/dx in front of each term of the equation:

\(\dfrac{\text{d}}{\text{d}x}4x^2+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=\dfrac{\text{d}}{\text{d}x}370\)

Differentiate the terms in x only (and constant terms):

\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=0\)

Use the chain rule to differentiate terms in y only. In practice, this means differentiate with respect to y, and place dy/dx at the end:

\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

Use the product rule to differentiate terms in both x and y.

\(\boxed{\dfrac{\text{d}}{\text{d}x}u(x)v(y)=u(x)\dfrac{\text{d}}{\text{d}x}v(y)+v(y)\dfrac{\text{d}}{\text{d}x}u(x)}\)

\(\implies 8x+\left(5x\dfrac{\text{d}}{\text{d}x}y+y\dfrac{\text{d}}{\text{d}x}5x\right)+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

\(\implies 8x+5x\dfrac{\text{d}y}{\text{d}x}+5y+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

Rearrange the resulting equation in x, y and dy/dx to make dy/dx the subject:

\(\implies 5x\dfrac{\text{d}y}{\text{d}x}+4y^3\dfrac{\text{d}y}{\text{d}x}=-8x-5y\)

\(\implies \dfrac{\text{d}y}{\text{d}x}(5x+4y^3)=-8x-5y\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8x-5y}{5x+4y^3}\)

To find the slope of the tangent line at the point (-9, -1), substitute x = -9 and y = -1 into the differentiated equation:

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8(-9)-5(-1)}{5(-9)+4(-1)^3}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{72+5}{-45-4}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{77}{49}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{11}{7}\)

Therefore, slope of the tangent line to the curve at the given point is -11/7.

Answer:

it is C

Step-by-step explanation:

Based on the calculations, table B shows a rate that is greater than 1 kilometre per hour.

The average rate of change can be defined as a type of function that describes the average rate at which a quantity decreases or increases with respect to another quantity.

Mathematically, the average rate of change can be calculated by using this formula;

The average rate of change = Δy/Δx

= Change in kilometre/Change in an hour

For Table A, we have:

Rate = kilometre/hour

Rate = (1/5)/(7/5)

Rate = 1/5 × 5/7

Rate = 1/7 kilometre per hour.

For Table B, we have:

Rate = (3/4)/(3/8)

Rate = 3/4 × 8/3

Rate = 2 kilometres per hour.

For Table C, we have:

Rate = (2/3)/(4/3)

Rate = 2/3 × 3/4

Rate = 1/2 kilometre per hour.

For Table C, we have:

Rate = (2/3)/(4/3)

Rate = 2/3 × 3/4

Rate = 1/2 kilometre per hour.

For Table D, we have:

Rate = (1/4)/(3/4)

Rate = 1/4 × 4/3

Rate = 1/3 kilometre per hour.

Therefore, table B shows a rate greater than 1 kilometre per hour.

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The location of Z after the transformations is given as follows:

(-2,-1).

The original coordinates of Z are given as follows:

Z(1, 3).

The translation rule is given as follows:

(x,y) -> (x + 1, y - 4).

Hence the coordinates of Z after the translation are given as follows:

(2, -1).

The rule for a reflection over the y-axis is given as follows:

(x, y) -> (-x, y).

Hence, exchanging the sign of the y-coordinate, the location of Z is given as follows:

(-2,-1).

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Answer:

(-2, -1)

Step-by-step explanation:

Hope this helps :)

The equations which can be used to find the measurement of each angle will be 6x-30=180.

The supplementary angles are defined as the angles whose sum is equal to 180°.

It is given that:-

One angle in a pair of supplementary angles has a value of 2x

The other angle is 30 degrees less than two times the first angle.

Now from the first condition, One angle in a pair of supplementary angles has a value of 2x we can write that:-

2x   +    A   =     180 .........................1

Now from the second condition,The other angle is 30 degrees less than two times the first angle

A     =    4x  -   30 ..............................2

Hence from the above two equations put the value of A in equation 1

the equation will be:-

2x    +   4x    -   30    =    180

6x      -      30        =   180

Hence the equations which can be used to find the measurement of each angle will be 6x-30=180.

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Answer:

pink salmon:22

yellowfin tuna:32

bluegill:46

Step-by-step explanation:

since the total is 50 you multiply the numbers above by 2 to get the percent. or you could divide the small numbers by the total and round to nearest hundredth and move the decimal 2 places to the right

Answer:

8

Step-by-step explanation:

The range of a data set in statistics is the difference between the largest and the smallest values. While range does have different meanings within different areas of statistics and mathematics, this is its most basic definition, and is what is used by the provided calculator. Using the same example:

2,10,21,23,23,38,38

38 - 2 = 36

The range in this example is 36. Similar to the mean, range can be significantly affected by extremely large or small values. Using the same example as previously:

2,10,21,23,23,38,38,1027892

The range, in this case, would be 1,027,890 compared to 36 in the previous case. As such, it is important to extensively analyze data sets to ensure that outliers are accounted for.

Answer: Range is all the values of the y-axis therefore, the range of the graph is {0,4,6,8}

Answer:

Step-by-step explanation:

Let's break down the expression step by step:

Nine raised to the power of 1/3:

9^(1/3) = ∛9 = 2.0801

Twenty-seven raised to the power of 1/2:

√27 = 5.1962

Two raised to the power of 1/6:

∛2 = 1.1225

Combining the previous results:

(2.0801 * 5.1962) / 1.1225

Three raised to the power of 1/3:

∛3 = 1.4422

Combining the final result:

(2.0801 * 5.1962) / 1.1225 * 1.4422

(2.0801 * 5.1962) / 1.1225 * 1.4422 ≈ 9.7085

Therefore, the value of the given expression is approximately 9.7085.

Step-by-step explanation:

to control fever a doctor recommend that a child should be given one mg of certain medicine for every 0. 07 kg body weight if the those is proportional to the body weight of the child then the quantity of medicine for a child of body weight to 24.92 kg

Answer:

no se hduxuwvqnx8whfbxywiwbfjci

The given system of equations can be written as a vector equation \(7x^1+x^2-3x^3\) = 7 and as a matrix equation = , where A = [7 1 -3 3 2 2] and B = [7 0].

An equation is a mathematical statement that expresses the equality of two expressions. It usually consists of two expressions separated by an equals sign (=). The expressions may contain numbers, variables, and operations, such as addition, subtraction, multiplication, and division. The solution of an equation is the value of the variable that makes the equation true.

Vector equation:

\((7x^1+x^2-3x^3)=7\)

Part 2

Write the system as a matrix equation. Select the correct choice below and fill in any answer boxes to complete your choice.

Matrix equation:

=

A =

[7 1 -3

3 2 2]

B =

[7

0]

Conclusion:

The given system of equations can be written as a vector equation \((7x^1+x^2-3x^3)\) = 7 and as a matrix equation = , where A = [7 1 -3 3 2 2] and B = [7 0].

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Answer:

29x/20 - 5

Step-by-step explanation:

1/4x - 5 + 1.2x​

=> 0.25x - 5 + 1.2x

=> 1.45x - 5

=> 29x/20 - 5

Therefore, this is the simplified form: 29x/20 - 5

Step-by-step explanation:

Slope 1/2    point    5,1  

  in point slope form would be

    (y-1) = 1/2 (x-5)

Answer:

Z to A, H to A :)

Step-by-step explanation:

PLEASE HELP ME IN THIS 5TH GRADER QUESTION, ITS ABOUT ROTATIONAL SYMMETRY

To solve for x in the equation 4x3 = -5x - 21, we can follow these steps:

1. Move all the terms containing x to one side of the equation, and move the constant term to the other side. We can do this by adding 5x to both sides and then adding 21 to both sides:

   4x3 + 5x = -21

2. Factor out x from the left-hand side of the equation:

   x(4x2 + 5) = -21

3. Divide both sides by (4x2 + 5):

   x = -21 / (4x2 + 5)

So the solution for x is x = -21 / (4x2 + 5). Note that this is a rational function, which means that the value of x depends on the value of the variable x. This equation has no real solutions because the denominator is always positive, and the numerator is negative.

Answer: Yes

Step-by-step explanation: Depends on what x equals.

The correct quotient is -3

The mistake CJ likely made is multiplying using the reciprocal of -3/4. The correct option is d. He multiplied using the reciprocal of -3/4

From the question,

We are to determine the correct quotient.

The given division operation to be carried out is -3/4 divided by 1/4

The correct quotient can be determined as shown below

\(-\frac{3}{4} \div \frac{1}{4}\)

Multiply \(-\frac{3}{4}\) by the reciprocal of \(\frac{1}{4}\)

The reciprocal of \(\frac{1}{4}\) is  \(\frac{4}{1}\)

Then, we get

\(-\frac{3}{4} \times \frac{4}{1}\)

This gives

\(-\frac{12}{4}\)

= -3

The correct quotient is -3

The mistake CJ likely made is multiplying using the reciprocal of -3/4.

Hence, the correct quotient is -3

The mistake CJ likely made is He multiplied using the reciprocal of -3/4. The correct option is d. He multiplied using the reciprocal of -3/4

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Answer:

75.4

Step-by-step explanation:

Diameter * pi = circumference.

Answer:

Step-by-step explanation:

ur STUP1d

The Coordinates of the graphed point are (−3, 2.5).

The coordinates of the graphed point, based on the given description, are (−3, 2.5).

The x-coordinate represents the horizontal position of the point, and it is described as being 3 units to the left of the y-axis. Since the y-axis is the vertical line passing through x = 0, moving 3 units to the left means the x-coordinate is −3.

The y-coordinate represents the vertical position of the point, and it is described as being 2.5 units up from the x-axis. Since the x-axis is the horizontal line passing through y = 0, moving 2.5 units up means the y-coordinate is 2.5.

Therefore, the coordinates of the graphed point are (−3, 2.5).

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Check the picture below.

\(\sin( \theta )=\cfrac{\stackrel{opposite}{0.5}}{\underset{hypotenuse}{0.64}} \implies \sin^{-1}(~~\sin( \theta )~~) =\sin^{-1}\left( \cfrac{0.5}{0.64} \right) \\\\\\ \theta =\sin^{-1}\left( \cfrac{0.5}{0.64} \right)\implies \theta \approx 51.4^o\)

Make sure your calculator is in Degree mode.

we have

y=x^2-9x+18 -----> equation A

y=x-3 ------> equation B

Solve the system of equations

substitute equation B in equation A

x^2-9x+18=x-3

x^2-9x+18-x+3=0

x^2-10x+21=0

Solve the quadratic equation using the formula

we have

a=1

b=-10

c=21

substitute the given values

Find the value of y for x=7

y=x-3

y=7-3=4

the first solution is (7,4)

Find the value of y for x=3

y=3-3=0

the second solution is (3,0)

therefore