Solve: 5 + 0.1x = 3 (1 - 0.3x)

Answer:

A. No, the graph fails the vertical line test

Step-by-step explanation:

A function links two set in a way that for each element from the origin set (called domain) you get one and only one element of the target set (co-domain, or range). In layman terms, once you pick your x, you get a single y. In term of graphing it it means that a vertical line of equation  touches the function either zero times (c is outside the domain, or only once (if c is in the domain.

That's the "vertical line test": you touch the graph twice, it's not a function. And since if you try the test with a vertical line between -4 and 4 you are getting two values (one above the x axis, one below it) it is not a function

Step-by-step explanation:

\( \underline{ \underline{ \text{Given}}} : \)

\( \underline{ \underline{ \text{To \: find \: }}} : \)

\( \underline{ \underline{ \text{Solution}}} : \)

\( \tt{8 {(a - b)}^{2} + 3b}\)

~Plug the values and then simplify !

⇢ \( \tt{8 {(6 - 3)}^{2} + 3 \times 3}\)

⇢ \( \tt{8 {(3)}^{2} + 9}\)

⇢ \( \tt{8 \times 9 + 9}\)

⇢ \( \tt{72 + 9}\)

⇢ \( \tt{81}\)

\( \red{ \boxed {\boxed{ \text{Our \: final \: answer : \boxed{\tt{81}}}}}}\)

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Answer:

22/5

Step-by-step explanation:

3m+18+2m=40

5m=40-18

5m=22

m=22/5

\( \bf \large \longrightarrow \: 3m \: + \: 18 \: + \: 2m \: = \: 40\)

\( \bf \large \longrightarrow \:5m \: + \: 18 \: = \: 40\)

\( \bf \large \longrightarrow \:5m \: = \: 40 \: - \: 18\)

\( \bf \large \longrightarrow \:5m \: = \: 22\)

\( \bf \large \longrightarrow \:m \: = \: \frac{22}{5} \\ \)

\( \bf \large \longrightarrow \:m \: = \: \cancel\frac{22}{5} \: \: ^{4.4} \\ \)

\( \bf \large \longrightarrow \:m \: = \: 4.4\)

Answer:

Left to right, (26,100,50,41)

Step-by-step explanation:

a^2 + b^2 = c^2

100+576=676, sq root is 26

3600+6400=10,000, sq root is 100

900+1600=2500, sq root is 50

1600+81=1681, sq root is 41.

You square a and b, you add them together to get c squared. You then take the square root of c squared to get c.

In a two population proportions problem, the use of individual proportions for X and Y (i.e., p_x, q_x, and p_y, q_y) is used for confidence intervals instead of the "common p" used in hypothesis testing.

The reason for this is that in hypothesis testing, we are assuming that the two population proportions are equal (i.e., p_x = p_y = p), which means that we can estimate p using the combined sample proportion. However, in a confidence interval problem, we are interested in estimating the difference between the two population proportions, and using the combined sample proportion to estimate p would not be appropriate. Instead, we use the individual sample proportions for X and Y to construct separate confidence intervals for each population proportion, which we can then use to estimate the difference between them.

In other words, when constructing a confidence interval for the difference in proportions, we are interested in estimating the variability of each population proportion separately, and not the variability of the combined sample proportion. This is why we use the individual sample proportions for X and Y in constructing confidence intervals, rather than the common sample proportion used in hypothesis testing.

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Answer:

Answer in explanation.

Step-by-step explanation:

Lets take

\(y = \frac{3}{4} x - 5\)

as L1.

Take L2 the line perpendicular to L1.

Standard form of equation of line:

y=mx+c, where m = slope and c = y-intercept.

Since L1 and L2 are perpendicular,

mL1 x mL2 = -1

Substitute mL1 into the equation,

3/4 x mL2 = -1

mL2 = -1 ÷ 3/4

mL2 = -4/3

L2 : y = mx+ c

Substitute y = 6, x = 8 and m = -4/3 into the equation,

\(6 = - \frac{4}{3} (8) + c \\ 6 = - \frac{32}{3} + c \\ c = 6 + \frac{32}{3} \\ = 16 \frac{2}{3} \)

therefore L2:

\(y = - \frac{4}{3}x + 16 \frac{2}{3} \)

Lets take L3 as the line parallel to L1.

Since L3 and L1 are parallel,

mL3 = mL1 = 3/4

equation of line: y = mx+c

substitute y = 6, x = 8 and m = 3/4 into equation.

\(6 = ( \frac{3}{4} )(8) + c \\ 6 = 6 + c \\ c = 6 - 6 \\ = 0\)

therefore L3:

\(y = \frac{3}{4} x\)

Given the following set of cars

The universal set is the sum of all the subsets given above

The Venn diagram is show below

The expression for the power delivered to a resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

According to the given information, the power delivered to a resistance R when an alternating current of frequency f and peak current I_0 passes through it is represented by the equation P = I^2_0 R sin^2 2 pi ft.

To express this equation in terms of csc^2 2 pi ft, we can use the trigonometric identity csc^2 x = 1/sin^2 x. Substituting this identity into the equation, we get P = I^2_0 R (1/sin^2 2 pi ft).

Since csc^2 x is the reciprocal of sin^2 x, we can rewrite the equation as P = I^2_0 R (csc^2 2 pi ft). This expression represents the power delivered to the resistance in terms of csc^2 2 pi ft.

Therefore, the correct expression for the power delivered to the resistance in terms of csc^2 2 pi ft is P = I^2_0 R (csc^2 2 pi ft).

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According to the question The graphs of the equations intersect at two points: (6, 8) and (-2, 0).

To find the total number of points of intersection between the graphs of the equations \($2x^2 - y^2 = 8$\) and \($y = x + 2$\) , we need to solve the system of equations.

Substituting \($y$\) from the second equation into the first equation, we get:

\(\[2x^2 - (x+2)^2 = 8\]\)

Expanding and simplifying:

\(\[2x^2 - (x^2 + 4x + 4) = 8\]\)

\(\[2x^2 - x^2 - 4x - 4 = 8\]\)

\(\[x^2 - 4x - 12 = 0\]\)

Factoring the quadratic equation, we have:

\(\[(x - 6)(x + 2) = 0\]\)

Setting each factor equal to zero:

\(\[x - 6 = 0 \quad \text{or} \quad x + 2 = 0\]\)

Solving for \($x$\) :

\(\[x = 6 \quad \text{or} \quad x = -2\]\)

Now, substituting these values of \($x$\) back into the equation \($y = x + 2$\)  to find the corresponding \($y$\) values:

When \(\\$x = 6$, $y = 6 + 2 = 8$\).

When \(\\$x = -2$, $y = -2 + 2 = 0$\).

Therefore, the graphs of the equations intersect at two points: (6, 8) and (-2, 0).

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Answer:

Hypotenuse- Leg

Step-by-step explanation:

right tri with same leg and hyp

The probability that in any hour, less than 5 customers will arrive is 0.2237.

The probability mass function is a function that estimates the likelihood that a discrete random variable will match a given value exactly. The mode is the value of the random variable with the highest probability mass.

The number of customers entering the Fidelity Credit Union's drive-through window per hour might be considered the random variable X.

The random variable X defines a limited number of instances of an event occurring during a predetermined period of time.

With a value of 6.5, the random variable X follows a Poisson distribution.

The following is X's probability mass function:

\(P(X=x)=\frac{e^{-6.5}(6.5)^x}{x!}\)

Where x=0,1,2,3....

Now, finding the probability of less than 5 customers,

\(P(X=x)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)\\=\frac{e^{-6.5}(6.5)^0}{0!}+\frac{e^{-6.5}(6.5)^1}{1!}+\frac{e^{-6.5}(6.5)^2}{2!}+\frac{e^{-6.5}(6.5)^3}{3!}+\frac{e^{-6.5}(6.5)^4}{4!}\\\\=0.0015034+0.00977235475+0.03176015295+0.06881366472+0.11182220518\\=0.223671778\\\approx0.2237\)

Therefore, the probability that in any hour, less than 5 customers will arrive is 0.2237.

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The measure of the third angle of the isosceles triangle is θ = 154°

Given data ,

In an isosceles triangle, two sides are of equal length, and thus two base angles are also of equal measure.

Given that the two base angles of the isosceles triangle are both 13 degrees, we can denote one of the base angles as 13 degrees, and the other base angle as 13 degrees as well.

Let's denote the measure of the third angle as "x" degrees

The sum of angles in any triangle is always 180 degrees.

So , 13 + 13 + x = 180

Simplifying the equation:

26 + x = 180

Subtracting 26 from both sides of the equation:

x = 180 - 26

x = 154°

Hence , the measure of the third angle in the isosceles triangle is 154°

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The average speed of the cars was 26.38 mph, with a standard deviation of 9.68 mp

The traffic highway planners conducted a study to analyze the relationship between traffic density (measured in cars per mile) and the average speed of traffic on a city thoroughfare. They collected data at the same location over a period of 3 months, finding a mean traffic density of 68.6 cars per mile with a standard deviation of 27.07 cars per mile.

Based on their analysis, the researchers determined the regression line for the data, which represents the relationship between traffic density and average speed.

The regression line represents the best-fit line that describes the relationship between two variables, in this case, traffic density and average speed. By analyzing the collected data, the researchers were able to determine the equation of the regression line that relates traffic density (independent variable) to average speed (dependent variable). The regression line allows them to predict the expected average speed for a given traffic density value.

The regression analysis helps to understand how changes in traffic density affect the average speed of traffic on the thoroughfare. It provides insights into the nature of the relationship between these two variables and can be used for further analysis and decision-making in traffic planning and management.

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Answer:

36/x=6

Step-by-step explanation:

Answer:

7x - 18 = 24

Step-by-step explanation:

So solve the problem:

7x - 18 = 24

7x - 18 - 18 = 24 + 18 ( subtract 18 from the left side and add it to the right )

7x = 42

7x / 7 = 42 / 7 ( divide both sides by 7 and the answer is 6)

x = 6 ( so x is equal to 6 )

HOPE IT HELPED

Answer:

306 \(ft^{2}\)

Step-by-step explanation:

Formula for triangle: bh/2

2 (8*9/2) = 72

Formula for rectange: bh

8*9 = 72

2(9*9) = 162

Add: 72 + 72 + 162 = 306

Rational number

Answer:

It is rational, as it is both non-terminating and repeating.

hope it helps :D

Answer:

Step-by-step explanation:

cool? i,dk if this is a question lol

Step-by-step explanation:

Since there is no y-intercept, you start at the origin (0, 0)

The slope tells us that for every two units it goes down, it also goes one unit to the right

We know this because slope is rise/run (in this case -2/1) and the slope is negative, meaning that it starts higher up at the left and goes down towards the right.

To graph, start at (0, 0) and go down 2 units to get (0, -2) and then to the right one unit to get (1, -2)

That is the first point

Continue doing this

(1, -2) -> down 2 and to the right 1 -> (2, -4)

Alternatively, plug in values for x

y = -2(1) -> y=-2

When x=1, y=-2

And keep repeating until you get a good idea of what the line looks like

The significance level of 0.01 indicates that we want to use a 1% level of significance to evaluate the evidence against the null hypothesis.

The null and alternative hypotheses for testing the claim that the majority of college students' cell phone bills are paid by their parents can be stated as follows:

Null hypothesis (H0): The majority of college students' cell phone bills are not paid by their parents.

Alternative hypothesis (Ha): The majority of college students' cell phone bills are paid by their parents.

In this scenario, the null hypothesis assumes that the proportion of college students whose parents pay their cell phone bills is less than 50% (not a majority), while the alternative hypothesis suggests that the proportion is greater than or equal to 50% (a majority). The significance level of 0.01 indicates that we want to use a 1% level of significance to evaluate the evidence against the null hypothesis.

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Answer:

C=25t+100

Step-by-step explanation:

The length of BP is 14.4 meters.

To find the length of BP, we can use the property that states that when two chords intersect inside a circle, the product of the segment lengths on one chord is equal to the product of the segment lengths on the other chord.

Using this property, we can set up the equation:

AP * PC = BP * DP

Substituting the given values:

12 m * 6 m = BP * 5 m

Simplifying:

72 m^2 = BP * 5 m

To solve for BP, divide both sides of the equation by 5 m:

72 m^2 / 5 m = BP

Simplifying:

14.4 m = BP

Therefore, the length of BP is 14.4 meters.

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Answer:

x=15/8

Step-by-step explanation:

Given: 2/3x-1/5x=x-1

Determine LCD: 10/15x-3/15x=x-1

Combine like terms: 7/15x=x-1

Get x on one side only: -8/15x=-1

Divide the coefficient on both sides: x=15/8

The probability that it takes more than 3 customers who buy an eligible item to find one who purchased the extended warranty = 0.493

Here, 21% of customers purchase extended warranty.

So, the probability p = 0.21

It takes more than 3 customers who buy an eligible item to find one who purchased the extended warranty is nothing but none of the first three buy.

This means, we find probability P(X = 0) when n = 3.

Using Binomial distribution formula for probability,

P(X = 0) = ³C₀ (0.21)⁰ (1 - 0.21)⁽³ ⁻ ⁰⁾

P(X = 0) =  ³C₀ (0.21)⁰ (0.79)⁽³ ⁻ ⁰⁾

P(X = 0) = 0.493

Therefore, the required probability is 0.493

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The complete question is:

The transaction history at an electronic goods store indicates that 21 percent of customers purchase the extended warranty when they buy an eligible item. Suppose customers who buy eligible

items are chosen at random one at a time, until one is found who purchased the extended warranty. Let the random variable X represent the number of customers it takes to find one who

purchased the extended warranty. Assume customers' decisions on whether to purchase the extended warranty are independentWhich of the following is closest to the probability that X > 3;

that is, the probability that it takes more than 3 customers who buy an eligible item to find one who purchased the extended warranty?

Square is always symmetric because no matter whether you flip, slide or rotate them, their halves will always be identical.

We have to given that;

To find the reason for a square is always symmetric.

Since, We know that;

Symmetry refers to the division of a shape.

Now, a shape is divided in half and the halves are exactly the same, the shape is symmetrical.

Hence, Squares are always symmetric, because no matter whether you flip, slide or rotate them, their halves will always be identical.

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Answer:

6x+25

Step-by-step explanation:

Answer:

The simplified equation is 6x+25

Step-by-step explanation:

First, you open parentheses or in other words, use distributive property: 6*x+6*4+1. If you simplify that, you get 6x+24+1 which is basically 6x+25. So 6x+25 is your final answer.

Answer:

The answer for this is B 15/36

The amount of fencing needed to surround the walkway of a garden that is 5 feet by 6 feet is 28 feet. Let us first calculate the perimeter of the garden by adding all the sides together.

The garden is 5 feet by 6 feet, so its perimeter is:2(5) + 2(6) = 10 + 12

= 22 feet

Now, we have to add the walkway's width around the garden to the dimensions of the garden. Since the walkway is 2 feet wide on all sides, we add 4 feet (2 feet on each side) to the width of the garden and 4 feet to its length. Therefore, the new dimensions of the garden, including the walkway, are:

5 + 2 + 2 = 96 + 2 + 2

= 8

So the dimensions of the garden, including the walkway, are 9 feet by 8 feet.Now, we need to calculate the perimeter of the walkway. The perimeter is calculated as follows:

2(9) + 2(8) = 18 + 16

= 34 feet.

The question asks for the amount of fencing required to surround the walkway. Therefore, we subtract the perimeter of the garden from the perimeter of the walkway to obtain the required amount of fencing.

34 - 22 = 12 Therefore, the amount of fencing needed to surround the walkway of a garden that is 5 feet by 6 feet is 28 feet.

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Answer:

m= 26

Step-by-step explanation:

The sum of the angles that lie on a straight line is 180°.

(4m -5)° +(3m +3)°= 180° (adj. ∠s on a str. line)

4m +3m -5 +3= 180

7m -2= 180

7m= 180 +2

7m= 182

Divide both sides by 7:

m= 182 ÷7

m= 26