Rewrite the following equation in standard form. y = -6x + 4

The two factors means that the two value will equate with zero

A) 2x-6

They can be aslo simplified as :

2x-6=0

2x=6

x=3

Thus they gave only one values and cannot be expressed as the factors of two product

B) 2x+6

In this expression

we can simplify as :

2x+6

2x+6=0

2x=-6

x=-3

Thus , they are also not expressed as the factors of the two product

C) 2(x+6)

In this expression

we can simplify as :

2x+12

2x+12=0

2x=-12

x=-6

Thus , they are also not expressed as the factors of the two product

D) (2+x)÷(6+x)

They can express as fraction

Thus, They express as the product of the tewo factors

Answer : D) (2+x)÷(6+x)

The total number of candies in the store is 312. It is obtained by using the concept of exponent and power on the given problem.

What is an Exponent?

The number of times a quantity is multiplied by itself is referred to as an exponent or power of the given quantity. For eg: 25, where 5 is an exponent or power of 2 and 2 is called the base of exponent 5. Any quantity raised to the power 0 always returns 1 as result.

Calculation of the total number of candies in the store

(36)2 * 30

Using the properties of an exponent, we have

A number with an exponent of 0 always gives 1

(36)2 * 1

(3)6×2 * 1

312 * 1

312

Thus, the total number of candies in the store is 312.

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The ratio of 2 meters to 76 centimetres is 50: 19.

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.

In simpler terms, a ratio compares values.

Let's find the ratio of 2 meters to 76 centimetres as follows:

We have to first convert the units so they will be same.

Hence,

1 cm = 0.01 m

76 cm = ?

cross multiply

length in metres = 76 × 0.01

length in metres = 0.76 metres

Therefore, let's multiply the 2 units by 100.

0.76 × 100 = 76 metres

2 × 100 = 200 metres

In ratio, 200 : 76 will be simplified as 50 : 19

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Answer:

20

Step-by-step explanation:

The expected value of a toss is:

E(X) = (0.10) (3) + (0.30) (1) + (0.60) (0)

E(X) = 0.6

If she scores an average of 0.6 points per toss, then the expected number of tosses needed to get 12 points is:

12 / 0.6 = 20

Using a random number table, we can assign digit 0 as a 3-point hole, digits 1-3 as a 1-point hole, and digits 4-9 as no points.  Read the digits and add the points until you get 12 points.  The number of digits read is the number of beanbag tosses.

The number of bean bags that we should expect her to toss to get 12 points is 20 bean bags.

Based on the information given, the expected value of the toss will be:

= 10%(3) + 30%(1) + 60%(0)

= 0.10(3) + 0.30(1) + 0.60(0)

= 0.30 + 0.30 + 0

= 0.60

Therefore, the expected number of tosses needed will be:

= 12/0.60

= 20

Therefore, the number of bean bags that we should expect her to toss to get 12 points is 20 bean bags.

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Answer:

30°, 60° and 90°

Step-by-step explanation:

Given the expression Arccos (√3/2)=β, we can use the expression to calculate one of the acute angles in a right angled triangle.

Note that a right angled triangle is made up of two acute angles and a right angled (90°)

Let's get one of the acute angles first

If Arccos (√3/2)=β

β = cos^-1 √3/2

β = 30°

This shows that one of the acute angles is 30°

To get the third angle, we know that sum of angles in a triangle is 180° and since we already know two of the angles, i.e 90° and 30°, we can get the third angle.

90+30+x = 180

120+x = 180

x = 180-120

x = 60°

All the angle measurement for the right angled triangle are 30°, 60° and 90°

Step-by-step explanation:

So, the variable x can not represent adults and students because they tell us that 45 are clearly students.

Answer:

Step-by-step explanation:

Answer:

Theoretical probability assumes that all outcomes are equally likely. When a replacement is involved, the probability of each outcome remains the same. Therefore, we cannot predict the exact number of outcomes that will occur, as each trial remains independent and the probability of each outcome remains the same.

Answer:

\(\frac{1}{a}\)

Step-by-step explanation:

the product of a number and its multiplicative inverse = 1 , then

a × \(\frac{1}{a}\) = 1

multiplicative inverse of a is then \(\frac{1}{a}\)

Answer: 13.8

Step-by-step explanation:

Answer:

13.8

Step-by-step explanation:

Answer:

A B and C

Step-by-step explanation:

it's a simple question

Answer:

Between -3 and -2, but closer to -2

Step-by-step explanation:

The square root of 45 is approximately 6.708.

Subtract 9 from that and you get -2.292.

-2.292 is between -3 and -2, but is closer to -2.

Answer:

2y=26, y=13

3x-(13)= -1, 3x=12, x=4

Answer:

Yes, an equilateral triangle has rotational symmetry. You can rotate it 120° clockwise or counterclockwise, and it'd still be the same. The order for any equilateral triangle would be three.

Let's call the number of players on Team A as "A" and the number of players on Team B as "B".

We know that 1/5 of the players on Team A score a goal, so:

5 players / (1/5) = A players

5 * (1/5) = A

A = 25

We also know that 1/11 of the players on Team B score a goal, so:

2 players / (1/11) = B players

2 * (1/11) = B

B = 22

So there are 25 players on Team A and 22 players on Team B.

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The total number of ways sandwiches and james makes are 1905.

Using the combination formula.

The number of ways in which 1 or 2 slices of bread is selected.

= 5C1 + 5C2

= 5 + 10

= 15

Now,

The number of ways to choose the ingredients:

= 2⁷ - 1

= 127 ways.

Number of ways sandwiches can james makes:

15 x 127 = 1905

Thus, the total number of ways sandwiches and james makes are 1905.

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Answer:

18

Step-by-step explanation:

6*3=18

Step-by-step explanation:

Answer is this hope it helps to you

Answer:

Tony is not correct because 3(x^2-25) can be factored further. The final answer is 3(x+5)(x-5)

Step-by-step explanation:

The point that could not be on the unit circle is option D, (1.1).

The unit circle is a circle with a radius of 1 centered at the origin (0, 0) in the coordinate plane. Points on the unit circle represent the values of sine and cosine for various angles. The coordinates of these points are in the form (cosθ, sinθ), where θ is the angle measured from the positive x-axis in a counterclockwise direction.

Given the options:

A. (1): This point can be on the unit circle since it represents the coordinate (cos0°, sin0°) which corresponds to the angle of 0 degrees.

B. (0.8, -0.6): This point can be on the unit circle since it represents the coordinate (cosθ, sinθ) for some angle θ. However, we would need to verify the values of cosθ and sinθ to determine if they are accurate.

C. : The option is missing.

D. (1.1): This point cannot be on the unit circle. The coordinates of a point on the unit circle should satisfy the equation \(x^2 + y^2 = 1\). However, for the point (1.1), the equation would be\(1.1^2 + y^2 = 1,\) which leads to a contradiction. Therefore, (1.1) cannot be a point on the unit circle.

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Answer:

2.12x10^13 is what I got

The correct answer is option D: that the values of the data must fall within the 1% critical range of the curve in order to be significant.

An alpha level of α = .01 sets the threshold for statistical significance at the 1% level, meaning that the values of the data must fall within the critical range of the curve (which represents the distribution of the data) that includes the central 99% of the values in order to be deemed statistically significant.

An alpha level of α = .01 is a statistical significance level that is commonly used in research. It represents the probability of obtaining a result as extreme or more extreme than the observed result, assuming the null hypothesis is true. A significance level of α = .01 means that the researcher has set the critical value at 0.01 or 1%.

Therefore, for a statistical test to be considered significant, the p-value must be less than 0.01. In other words, the values of the data must fall within the 1% critical range of the curve in order to be significant.

It is important to set a significance level before conducting a statistical test as it helps to determine the level of confidence in the results obtained from the test.

The correct answer is option D: that the values of the data must fall within the 1% critical range of the curve in order to be significant

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SSE (Sum of Squares Error) is a statistical measure of the difference between the values predicted by a regression equation and the actual values.

It is an important concept in regression analysis because it provides a measure of the goodness of fit of the model. SST (Total Sum of Squares) is a statistical measure of the total variation in a set of data. It is an important concept in regression analysis because it provides a measure of the total variation in the dependent variable that can be attributed to the independent variable.

SSR (Sum of Squares Regression) is a statistical measure of the variation in the dependent variable that is explained by the independent variable. It is an important concept in regression analysis because it provides a measure of the goodness of fit of the model.

Given are five observations for two variables, and \(y. X; Yi\) The estimated regression equation for these data is \(ŷ = 0.1 +2.7x\).

The data are given below: \(x: 2, 4, 6, 8, 10 y: 5, 10, 15, 20, 25\)

To compute SSE, SST, and SSR, we will use the following equations:

\(SST = ∑(yi - ȳ)² SSE = ∑(yi - ŷi)² SSR = SST\) - SSE where \(ȳ\) is the mean of y.

We first need to compute the mean of \(y: ȳ = (5 + 10 + 15 + 20 + 25)/5 = 15\)

Now we can compute SST: \(SST = ∑(yi - ȳ)² = (5 - 15)² + (10 - 15)² + (15 - 15)² + (20 - 15)² + (25 - 15)² = 200 SSE: ŷ1 = 0.1 + 2.7(2) = 5.5 ŷ2 = 0.1 + 2.7(4) = 10.3 ŷ3 = 0.1 + 2.7(6) = 15.1 ŷ4 = 0.1 + 2.7(8) = 19.9 ŷ5 = 0.1 + 2.7(10) = 24.7\)\(SSE = ∑(yi - ŷi)² = (5 - 5.5)² + (10 - 10.3)² + (15 - 15.1)² + (20 - 19.9)² + (25 - 24.7)² ≈ 5.8 SSR: SSR = SST - SSE = 200 - 5.8 ≈ 194.2\)

Answer: SSE = 5.8, SST = 200, SSR = 194.2

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Expand the binomial:

(√2/5 + 5/2 i )² = (√2/5)² + 2i (√2/5) (5/2) + (5/2 i )²

… = 2/25 + √2 i + 25/4 i ²

… = -617/100 + √2 i

The statement "Any linearly independent set in a vector space is a basis for that space" is false.

For a set to be a basis of a vector space, it must satisfy two conditions,

It must be a linearly independent set.

It must span the entire vector space.

So, a linearly independent set in a vector space is not necessarily a basis for that space if it does not span the entire vector space. For example, the set {(1,0), (0,1)} is linearly independent in the vector space R^2, but it is not a basis for R^2 because it does not span all of R^2. A basis for R^2 is {(1,0), (0,1), (1,1)}.

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Step-by-step explanation:

the attached document.

The lengths of the two boards (234 inches and 246 inches) and adding them together, we find that the combined length of the boards is 480 inches.

To find the total length of the two boards, you need to add their individual lengths together.

Step 1: Identify the length of each board. The first board is 234 inches long, and the second board is 246 inches long.

Step 2: Add the lengths of the boards together.

234 (length of first board) + 246 (length of second board) = 480

So, the total length of the two boards on the shelf is 480 inches. This means that if you were to place the two boards end-to-end, they would cover a distance of 480 inches.

In summary, by identifying the lengths of the two boards (234 inches and 246 inches) and adding them together, we find that the combined length of the boards is 480 inches. This calculation helps us understand the total amount of space the boards would occupy if placed side by side.

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Answer:

p= 2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

The proportional equation for the total cost of j bottles of orange juice in terms of j is c = ($22.04j) / 19

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called constant of proportionality.

This directly proportional relationship between p and q is written as

\(p \propto q\)  where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n are two variables.

Then m and n are said to be inversely proportional to each other if

\(m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}\)

(both are equal)

where c is a constant number called constant of proportionality.

This inversely proportional relationship is denoted by

\(m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}\)

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

We know that;

Arun bought 19 bottles of orange juice for a total cost of $22.04.

Let the cost of one bottle of orange juice be x dollars and cents. Then, we can set up a proportion between the number of bottles of juice and the total cost:

(j bottles of juice) / (total cost of j bottles of juice) = (19 bottles of juice) / ($22.04)

We can simplify this proportion by cross-multiplying:

j * $22.04 = 19 * total cost of j bottles of juice

Multiplying out the left side gives:

$22.04j = 19 * total cost of j bottles of juice

Finally, we can solve for the total cost of j bottles of juice by dividing both sides by 19:

total cost of j bottles of juice = ($22.04j) / 19

Therefore, by proportional equation the answer will be c = ($22.04j)/ 19.

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Answer:

Explanation in link:

The equation has a infinite number of solutions.

Step-by-step explanation:

-6x - y = -27

18x + 3y = 81

-6x - y = 27

+6x —-+6x

-Y = 27 + 6x

Then, divide both sides by negative one to get rid of that negative y:

Y = -6x + 27

Now replace the Ys in the other equation with -6x + 27.

18x + 3(-6x + 27) = 81.

Do distribute property

18x + -18x + 81 = 81

The 18x and -18x cancel each other out.

81 = 81.