What is the value of x?

The statement that is correct based on the data is that the table shows a proportional relationship

From the question, we have the following parameters that can be used in our computation:

Mango Used Smoothie Size

Kim 1 8 oz

Bri 3 24 oz

Angela 4 32 oz

Express  properly

So, we have

        Mango Used Smoothie Size

Kim         1                       8 oz

Bri           3                       24 oz

Angela    4                        32 oz

Start by checking if the table has a constant rate

This is represented as

Constant rate = Smoothie Size/Mango Used

So, we have

Constant rate = 8/1 = 8

Constant rate = 24/3 = 8

Constant rate = 32/4 = 8

See that the constant rate is the same for all values

Hence, the table shows a proportional relationship

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A study is conducted to see if a daily exercise intervention affects blood pressure among people with pre-hypertension. The study design being used is a randomized controlled trial (RCT).

Generally,  In an RCT, the study participants are randomly assigned to either the intervention group or the control group. This helps to ensure that any differences between the two groups are not due to preexisting differences between them, but rather are due to the intervention being tested.

In this case, the intervention is a daily exercise intervention, and the outcome being measured is blood pressure among people with pre-hypertension.

The control group serves as a comparison group, and any changes in blood pressure observed in the intervention group can be attributed to the intervention rather than other factors.

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Answer:

Below

Step-by-step explanation:

Circumference of a circle = pi * diameter

                             circumference of ferris wheel = 3.14159 * 520=1633.6 ft

Answer:

three billion eight hundred million

Step-by-step explanation:

The rate of change is $2500 per year.

The initial amount is $5000.

The value of the steepness or the direction of a line in a coordinate plane is known as the slope of a line, often known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope can be determined using a variety of techniques.

The formula for slope between two points (x₁, y₁) and (x₂, y₂) is,

m = (y₂ - y₁)/(x₂ - x₁)

In the given graph,

The initial value that deposited at x = 0 is $5000.

To find the rate of change in amount per year,

Find slope of the line, because rate of change will be equal to slope.

Let two points are (0, 5000) and (1, 7500)

The slope = (7500 - 5000 / 1 - 0) = 2500

The rate of change is $2500 per year.

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The value of the expression 24 + x ÷ 12 when x = −180 is (b) 9

Expressions are mathematical statements that are represented by variables, coefficients and operators

From the question, we have the following parameters that can be used in our computation:

24 + x ÷ 12

Also, we have the value of the variable to be

x = −180

Substitute the known values in the above equation, so, we have the following representation

24 - 180 ÷ 12

Evaluate the quotient in the above equation

So, we have the following representation

24 - 180 ÷ 12 = 24 - 15

Evaluate the difference in the above equation

So, we have the following representation

24 - 180 ÷ 12 = 9

Hence, the value of the expression is (b) 9

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The equation of line in point-slope form of the line, is y = 5x - 1.

What is point - slope form of the line?

The general form of a linear equation is y - y1 = m(x - x1).

It draws attention to the line's slope and one of the line's points (that is not the y-intercept).

Given:

The line passes through the points (1, 4) and (2, 9).

We have to find the equation of line in point - slope form.

First to find the slope from the given points.

Since,

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here, [tex](x_1, y_1) = (1, 4), (x_2, y_2) = (2, 9)[/tex]

So, [tex]m = \frac{9-4}{2-1} = 5[/tex]

Now consider, the point slope form of the line

[tex]y-y_1=m(x-x_1)[/tex]

Plug [tex]m = 5, (x_1, y_1) = (1, 4)[/tex]

⇒

[tex]y - 4=5(x-1)\\y-4=5x-5\\y=5x-5+4\\y=5x-1[/tex]

Hence, the equation of line in point-slope form of the line, is y = 5x - 1.

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Answer:

  4.63%

Step-by-step explanation:

You want the interest rate that, compounded quarterly, will result in a balance of $216,000 for an investment of $90,000 after 19 years.

The formula for the balance of an account earning compound interest is ...

  A = P(1 +r/n)^(nt)

where P is the principal invested, r is the annual interest rate, n is the number of times per year interest is compounded, and t is the number of years.

Filling in the given values, we can solve for r:

  216000 = 90000(1 +r/4)^(4·19)

  2.4 = (1 + r/4)^76 . . . . . divide by 90,000

  2.4^(1/76) = 1 +r/4 . . . . . . take the 76th root

  (2.4^(1/76) -1) = r/4 . . . . . . subtract 1

  r = 4(2.4^(1/76) -1) ≈ 0.0463437 ≈ 4.63%

The required interest rate is about 4.63%.

The functions for this problem are classified as follows:

A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.

A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.

For the land function, the rates are given as follows:

The differences are given as follows:

Neither are exactly the same, however the variations for the differences are less, meaning that it can be classified as a linear function.

For the car, the rates are given as follows:

The differences are given as follows:

Again less change on the differences, hence also linear.

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Answer:

The answer is 2990.8

Step-by-step explanation:

Answer:

volume = 980π = 3078.790801  

Step-by-step explanation:

14 ÷ 2 = 7 = radius

π x [tex]r^{2}[/tex]=  = 49π = area

area x 20 = volume

volume = 980π = 3078.790801  

The graph of the trapezoid is shown below. The area is calculated as: D. 40 square units.

To find the area of a trapezoid, the formula used is given below:

Area of a trapezoid = 1/2 * (a + b) * h, where,

The trapezoid BATS with the following vertices, B (-4, 2), A (-2, 6), T (6, 6), S (8, 2), ahs been plotted in the graph shown in the image attached below.

1 unit = 1 box, therefore, we have the following:

a = length of AT = 8 units.

b = length of BS = 12 units

h = 4 units

Plug in the values:

Area of trapezoid BATS = 1/2 * (8 + 12) * 4

Area of trapezoid BATS = 1/2 * (20) * 4

= 10 * 4

Area of trapezoid BATS = 40 square units.

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Answer:2(8x-5)

Hope this helps!

Lisa's change in speed is 4 miles per hour.Lisa's acceleration is 2 miles per hour.

According to the question,

The speed of Lisa is = 3 miles per hour

A dog starts to chase her, and she  speeds up to seven miles per hour.

The change in speed after dog chase her is,

= 7 miles per hour - 3 miles per hour

= 4 miles per hour

Lisa's change in speed is 4 miles per hour.

When Lisa increased her speed in letter c,  the increase took two seconds.

Then,

The Lisa acceleration is,

Acceleration = Change in speed/Change in time

Acceleration = 4/2

Acceleration = 2 per mail.

Hence, Lisa's acceleration is 2 miles per hour.

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The solution of the given expression is equal to 2.17.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is [tex]2^{x+1} = 9[/tex]. The expression will be solved by using the logarithmic property below,

[tex]2^{x+1}=9[/tex]

Take logs on both sides,

(x+1) ln(2) = ln(9)

(x+1) = ln(9) / ln(2)

x + 1 = 3.17

x = 2.17

Hence, the expression will be solved by taking log on both sides.

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Answer:

29, 61

Step-by-step explanation:

x = smaller

y = larger

y = 3x - 26

x + y = 90

x + 3x - 26 = 90

4x - 26 = 90

4x = 116

x = 29

x + y = 90

29 + y = 90

y = 90 - 29

y = 61

Answer:

smaller angle = 29°

larger angle = 61°

Step-by-step explanation:

Let x be the larger angle and y be the smaller angle

Larger angle is 26° less than 3 times the smaller angle

i. e x = 3y-26°

Since x and y are complementary angles, we can write,

x + y = 90°

or, (3y - 26°) + y = 90°

or, 4y = 90° + 26°

or, y = 116°/4

or, y = 29°

So,

x = 3 * 29° - 26° = 61°

A vocational counselor wishes to compare the mean scores on a paper-and-pencil test of anxiety for groups of physicians, lawyers, and accountants. the appropriate test is a two factor chi Square test.

The Pearson chi-square (χ²) test, often simply called the chi-square test, is one of the most common non-parametric tests. Nonparametric tests are used for data that do not follow the assumptions of parametric tests, especially the assumption of normal distribution.

To test hypotheses about the distribution of a categorical variable, you should use the chi-square test or another non-parametric test. Categorical variables can be nominal or ordinal and represent groups such as species or nationality. They can only have a small number of specific values, so they cannot have a normal distribution.

Bidirectional chi-square is one of several tests of goodness of fit between the actual values ​​of two nominal or ordinal variables and the values ​​expected if the variables were unrelated or independent. Chi-square is also known as Pearson Chi-square and Chi-square test of independence. The symbol for the chi-square test is the lowercase Greek letter chi (χ) with a superscript 2, such as χ2. χ2 is a test of significance and should be accompanied by an appropriate test of strength. The strength test should be chosen based on the number of rows and columns in the table of observations. In particular, one of the most commonly used strength tests is the π coefficient.

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If Satvinder ate 4 cookies, then the number of cookies that Fatimah ate will be 5.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Fatimah ate f treats. Satvinder ate six less than twice the number that Fatimah ate.

Let 's' be the number of cookies eaten by Satvinder. Then the equation is given as,

s = 2f - 6

If Satvinder ate 4 cookies, then the number of cookies that Fatimah ate will be given as,

4 = 2f - 6

2f = 10

f = 5

On the off chance that Satvinder ate 4 treats, the number of treats that Fatimah ate will be 5.

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Answer:

9

just sub value of x into the equation

(2x3)+3

6+3

9

Answer:

3

Step-by-step explanation:

slope m = (y - y1)/(x - x1)

m = (-3.5 - 1)/(1 - 2.5) = (-4.5)/(-1.5) = 3

The cost of tilling a rectangular plot of land 500m long and 200m wide at the rate of rs 8 per sq m is Rs. 8,00,000.

Area of rectangle = length × breadth

Area of rectangular plot = 500× 200 = 1,00,000 sq m

Cost of tilling 1 sq m of land = Rs. 8

Cost of tilling 1,00,000 sq m of land = 8 × 1,00,000 = Rs. 8,00,000

Thus, The cost of tilling a rectangular plot of land 500m long and 200m wide at the rate of rs 8 per sq m is Rs. 8,00,000.

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Answer:1020.2

Step-by-step explanation:

The equation that creases an inconsistent system when paired with y = 2x + 5 is given as follows:

2y - 4x = -10.

A system of equations is called inconsistent when the number of equations of the system is of zero.

The system in this problem is composed by linear equations, which have the following format:

y = mx + b.

In which:

For inconsistent system, we have that the equations:

The function in this problem is given as follows:

y = 2x + 5.

Hence the inconsistent system is formed with:

2y - 4x = -10.

Which is simplified by 2 as follows:

y - 2x = -5.

y = 2x - 5.

Having the same slope of 2, but a different intercept.

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Answer: 2y – 4x = –10

Step-by-step explanation: trust.

The volume of the tunnel is 225.476cm³

We should know that the volume of an object entails the quantity of things it can hold at a particular time.

The volume of the tunnel = Volume of semi circle + volume of the rectangle

This is given by

V=3/4[tex]\frac{4}{3} \pi r^{3}[/tex] + lbh

volume of the tunnel = 4/3*3.142*(5/2)³ + 4*5*8

Simplifying the expression

(65.476 + 160)cm³

Volume = 225.476cm³

Given that the car exhaust  at 10m³

226cm = 2.26m

Note that 60 seconds = 1 Minute

Therefore 10*2.26=22.6m

=22.6/60 = 3 hours,  46 mins and 2 seconds.

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Answer:

  12 units

Step-by-step explanation:

You want to know the perimeter of rectangle ABCD after it has been dilated by a factor of 1.

The original rectangle ABCD has a perimeter of ...

  P = 2(L +W) = 2(4 +2) = 12

The perimeter of the dilated rectangle is the original perimeter multiplied by the dilation factor:

  P' = 12·1 = 12

The dilated rectangle has a perimeter of 12 units.

__

Additional comment

Dilation by a factor of 1 changes nothing at all. The center of dilation is irrelevant.

Answer: x < 5

What does this mean?

This simply means that any point that is five or below is going to be outlined.

How do I do it?

It's as simple as drawing a point at value 5, and everything below is going to contain a line.

Representation

-----------------------------------------------o

Explanation:

All of the polynomials listed are quadratic polynomials, which have the general form ax^2 + bx + c, where a, b, and c are constants and x is a variable. A polynomial is considered prime if it cannot be factored into the product of two or more polynomials with integer coefficients.It is not possible to determine whether any of the given polynomials are prime without further information, such as the values of the constants a, b, and c. For example, the polynomial x^2 + 7 could be prime, but it could also be factored into the product of two linear polynomials (x + 3)(x + 3), which would make it composite. Similarly, the polynomial x^2 - 25 could be prime, but it could also be factored into the product of two polynomials of the form (x + 5)(x - 5), which would make it composite. Without more information, it is not possible to determine whether any of the given polynomials are prime.

Answer: 12

Step-by-step explanation:

The y-intercept in the equation that is in slope-intercept form is the constant.

Suppose a juice box contains 30% juice with the remaining portion of the drink composed of water alcohol is the solute in this type of juice box.

Ethanol; Ethanol, a drab liquid with a pleasing scent this is produced evidently from fermentation through yeasts and different microorganisms. It is utilized in alcoholic beverages, as a solvent, and withinside the manufacture of different chemicals. Ethanol is a fairly poisonous and colorless compound.

Alcohol is the solute in this type of juice box is the solvent as alcohol is easily soluble as the solvent and has best property of a solute and csn pass through the semipermeable permeability and others solvent also. The alcohol is actually acting as the solute here to dissolve the solvent.

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A study shows that 70% of the population of a city have brown eyes and 30% do not. The study also shows that 10% of the people who do not have brown eyes do not have brown hair, while 80% of the people who have brown eyes have brown hair. 0.80; Individuals with brown hair. Option C

Generally, The largest marginal relative frequency is 0.80, which corresponds to individuals with brown hair. This means that out of all the individuals in the city, 80% of them have brown hair.

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