are 1/2 and 2/4 proportional?​

Answer:

2/3

Step-by-step explanation:

we use y2-y1/x2-x1 to find slope

5-3/4-1

2/3

The slope is 2/3

Hopes this helps please mark brainliest

The values of a and b are a = -3 and b = 42. The solutions for x can be written as:

x = -3 - √42

x = -3 + √42

To solve the quadratic equation 2x² + 12x = 66 by completing the square, we need to follow these steps:

Step 1: Move the constant term to the right side:

2x² + 12x - 66 = 0

Step 2: Divide the equation by the leading coefficient (2):

x² + 6x - 33 = 0

Step 3: To complete the square, we take half of the coefficient of x, square it, and add it to both sides of the equation:

x² + 6x + (6/2)² = 33 + (6/2)²

x² + 6x + 9 = 33 + 9

x² + 6x + 9 = 42

Step 4: Rewrite the left side as a perfect square:

(x + 3)² = 42

Step 5: Take the square root of both sides:

√(x + 3)² = ±√42

x + 3 = ±√42

Step 6: Solve for x:

x = -3 ± √42.

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The test results' standard deviation is around 33. Standard deviation is a measure of the spread or dispersion of a set of data. It measures how much the individual data points deviate from the mean of the data.

To find the standard deviation of this data, we first need to calculate the sample mean and variance:

Sample mean, = (290 + 805 + 708 + 606 + 504 + 401 + 302 + 05) / 31 = 56.45

Sample variance, \(s^2 = [(2-56.45)^290 + (80-56.45)^25 + (70-56.45)^28 + (60-56.45)^26 + (50-56.45)^24 + (40-56.45)^21 + (30-56.45)^22 + (0-56.45)^25] / (31-1) = 1080.56\)

To find the standard deviation, we take the square root of the variance:

Standard deviation, \(s = sqrt(s^2) = sqrt(1080.56) = 32.90\\\)

Rounding to the nearest unit, the standard deviation is approximately 33.

Therefore, the standard deviation of the test scores is approximately 33.

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Answer:

-9

Step-by-step explanation:

x+5 less than or equal -4

x lessthan orcequal -4-5

x less than or equal -9

Solution:

Given:

The function,

The domain of a function is the set of all possible inputs for the function's output to become real and defined.

From the function given, the function has no main constraint or undefined point when we input all real values of x. This means the function is defined for all real values of x.

Therefore, since there is no constraint to make the function undefined, the domain is all real values of x.

Thus,

In interval notation, the domain of the function is;

Answer:

I got x= 21

Step-by-step explanation:

Answer:

$17

Step-by-step explanation:

168.48 rounded to nearest ten

is $170.00  because the number behind the tens place is larger than 5 (8). Therefore you round up

170 x 0.10 is 17

Answer:

B

Step-by-step explanation:

Thank me later

Answer:

-12 and 12

Step-by-step explanation:

-12 squared is also 144 bcoz two negatives multiplied make a positive.

12 is the sqrt of 144

Step-by-step explanation:

The square root of 144 is 12, because by multiplying the same number twice as a result we will get 144. 12 * 12 = 144

Answer:

If f(-5) = 7, then the point P(-5, 7) will be on the graph of f

where -5 is the x-coordinate and 7 is the y-coordinate

Step-by-step explanation:

Answer:

38inches

Step-by-step explanation:

Perimeter = side+side+side+side+side+side

P = 5+9+2+5+13+4

P = 38inches

The whisker plot with the data provided should includes a range that goes from 7 to 49, and a median of 23.

A whisker plot, also known as a box plot, is a graphical representation of a data set that shows the distribution of the data along with some important statistical information, such as the median, quartiles, and outliers. It is particularly useful for comparing the distribution of different data sets or for identifying potential outliers in a data set.

To create a whisker plot, follow these steps:

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The value of the function when x = 2 from the graph is 0

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

The function that is graphed on the coordinate plane.

The value of the function when x = 2 implies that we calculate the value of y when x = 2

On the graph, we have the following ordered pair

(2, 0)

This means that the value of the function when x = 2 is 0

Hence, the function value at x = 2 is 0

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Answer:

$3.90

Step-by-step explanation:

78 cents/lb * 5 lb = (78*5) cents = 390 cents (the pound labels divide out)

But 390 cents = $3.90

Since we have the factors, we will equal them to zero [The ones with the variable] and we will solve for it, which is going to give us the zeros of the function. That is:

So, the zeros of the function are X = -2 and X = 5.

Answer:

it is a decimal which is 3.28571428571

Step-by-step explanation:

i am in college

Step-by-step explanation:

\( \\ 9 \frac{6}{7} \div 3\)

Change the mixed fraction into improper fraction.

\( \\ = \frac{69}{7} \div 3\)

Reciprocal 3 for cross multiplication.

\( \\ = \frac{69}{7} \times \frac{1}{3} \)

Divide 69 by 3.

\( \\ = \frac{ \cancel{69}}{7} \times \frac{1}{ \cancel{3}} \)

\( \\ = \frac{23}{7} \)

Divide the result into mixed fraction or decimal.

\( \\ = 3.285 \: \: or \: \: 3 \frac{2}{7} \)

[Answer]

Answer:

y^2 = 2x + 6

2x = y^2 - 6

x = 1/2(y^2 - 6)

The points of intersection of the  curves are  calculated:

y + 1 = 1/2( y^2 - 6)

2y + 2 = y^2 - 6

y^2 - 2y - 8 = 0

( y - 4)(y + 2) = 0

y = 4, -2

when y = 4, x = 5 and when y = -2 x = -1.

Integrating between  y = 4 and y = -2

     4

     INT  [ ( y + 1 + 1/2 (6 - y^2) ]dy

     -2

=    4

    {   y^2 / 2 + y + 3y - y^3/6 }

 -2

= 13 1/3 - (-4 2/3)

13 1/3 + 4 2/3

= 18  answer.

Answer:

i think its 18.

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

angle ACD + angle DCB = 180   (Angles on straight line)

4x + 2 + 3x + 3 = 180

7x + 5 = 180

7x = 180-5

7x = 175

x = 175 / 7

x = 25

angle DCB = 3x +3 = 3*25 + 3 = 75 +3 = 78

The answer as a result of the numerical expression above is B) 1/36

This expression is rank number:

\(( {6}^{ - 4} ) {}^{ \frac{1}{2} } = 6 {}^{ - 2} = \frac{1}{ {6}^{2} } = \frac{1}{36}.

So the answer as a result of the numerical expression above is 1/36.

From these calculations it can be seen that the rank between what is inside the brackets and what is outside it can be multiplied.

In the question above the power of -4 multiplied by the power of ½ ( (-4×½) the result is -2.

So all that's left is 6⁻². Another form of 6⁻² is 1/6² or 1/36.

This refers to the exponential rule in mathematics, namely a⁻ⁿ can be written as 1/aⁿ.

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Answer:

2.5

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

use the keep change change rule

13.75 - keep

  +     - change into minus

-11.25 - change into positive 11.25

Answer:

5/12, 4 1/4, 4 2/3

Step-by-step explanation:

Change your fractions so they all have a common denominator.

A common denominator is 12, so 5/12 stays as is, 4 1/4 changes to 4 3/12,

and 4 2/3 changes to 4 8/12.

So,      5/12 = 5/12

      4 1/4.     = 4 3/12

       4 2/3     = 4 8/12

the answer the bottom right

it is the right answer because the total number of days is 16 days,

Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.

This common convenience, already-existing variables, or all important elements from the original Diocesan customizable survey that followed a particular event methodology can all be used to achieve the goal. If it does, there will be another chance to get in touch with the entity. If it doesn't, each of the crucial elements of a term proof outcome will surely be lost.

Here,

The quantity of punch produced by the recipe is:

If the punch bowl has an 8-quart capacity and the recipe fills it 3/4 full.

=> 6 pints =  8 * 3/4.

The formula yields 6 quarts of punch as a result.

Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.

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Answer:

\(P(x=3)=0.2269\)

Mean=2.1

Standard deviation=1.21

Step-by-step explanation:

We are given that

n=7

Probability of success, p=0.3

q=1-p=1-0.3=0.7

We have to find the probability of 3 success for the binomial experiment  and find the mean and standard deviation.

Binomial distribution formula

\(P(X=x)=nC_xp^{x}q^{n-x}\)

Using the formula

\(P(x=3)=7C_3(0.3)^3(0.7)^{7-3}\)

\(P(x=3)=7C_3(0.3)^3(0.7)^{4}\)

\(P(x=3)=\frac{7!}{3!4!}(0.3)^3(0.7)^{4}\)

\(P(x=3)=\frac{7\times 6\times 5\times 4!}{3\times 2\times 1\times 4!}(0.3)^{3}(0.7)^{4}\)

Using the formula

\(nC_r=\frac{n!}{r!(n-r)!}\)

\(P(x=3)=0.2269\)

Now,

Mean, \(\mu=np=7\times 0.3=2.1\)

Standard deviation, \(\sigma=\sqrt{np(1-p)}\)

Standard deviation, \(\sigma=\sqrt{7\times 0.3\times 0.7}\)

Standard deviation, \(\sigma=1.21\)

Step-by-step explanation:

The formula for the surface area of a rectangular prism is SA = 2(lw) + 2(wh) + 2(lh), where l is the length, w is the width, and h is the height.

Given:

l = 2.8 yards

w = 1.19 yards

h = 6 yards

Plugging in the values:

SA = 2(2.8 * 1.19) + 2(1.19 * 6) + 2(2.8 * 6)

Simplifying and converting units to square yards:

SA = 2(3.32) + 2(7.14) + 2(16.8)

SA = 6.64 + 14.28 + 33.6

SA = 54.52 square yards.

The surface area of the rectangular prism is 54.52 square yards.

the answer is 1 million cm

The length of the side of the cube is 100 centimeters

What is volume ?

Volume is a three dimensional space occupy by the body of particular shape such as here :

The formula for volume of a cube is expressed as:

Volume, V = a³

Where, a is the length of its side

Given that the volume is 1 million cubic centimeters = 1, 000, 00

Substitute the values

1, 000, 000 = a³

Find the cube root of both sides

a = ∛10^6

a = 100 centimeters

Thus, the length of the side of the cube is 100 centimeters

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Answer:

Brand Y would have a better deal.

Step-by-step explanation:

Step 1. There are 1,000 grams in 1 kilogram. Knowing this, you can see that it would be $70 for 1,000 grams of rice and $20 for 400 grams of rice.
Step 2. You would have to do 70 divided by 1000 (0.07) and 20 divided by 400 (0.05) to see which has the better deal.
Step 3. Brand X is 7 cents per grain and Brand Y is 5 cents per grain, making Brand Y the better deal. I hope that this helps! :)

The interest for Part 1 is approximately $385.10.

The interest for Part 2 is approximately $709.31.

The formula is as follows:

Interest is calculated as follows: Principal * Rate * Time

Where

Part 1:

$132,000 is the principal.

(Decimal) Rate = 12% = 0.12

Time = 8 days/365 days.

How much interest is there in Part 1?

Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10

Therefore, the interest for Part 1 is approximately $385.10.

Part 2:

$106,750 as the principal

(Decimal) Rate = 12% = 0.12

Time = 20 days / 365 days.

How much interest will there be in Part 2

Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31

Therefore, the interest for Part 2 is approximately $709.31.

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