Hi, I need help with this. Thank you.

The equation of the CD in slope-intercept form is: C. y = -4x + 2.

The equation of a line in slope-intercept form can be written as y = mx + b. In this form, m represents the slope and b represents the y-intercept.

The slopes of lines that are parallel are equal, while the slopes of the lines that are perpendicular to each other are negative reciprocals of each other.

The slope (m) of the graph y = 1/4x - 3 is 1/4. Since AB of rectangle ABCD is perpendicular to the graph, then the slope (m) of AB would be the negative reciprocal of 1/4 which is: -4.

Also, since CD is parallel to AB, they would have the same slope, m = -4.

To find the equation of CD that is parallel to AB, substitute m = -4 and (a, b) = (-1, 6) into y - b = m(x - a):

y - 6 = -4(x - (-1))

y - 6 = -4(x + 1)

y - 6 = -4x - 4

y = -4x - 4 + 6

y = -4x + 2

Therefore, the equation of the CD in slope-intercept form is: C. y = -4x + 2.

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Answer:

x=16

I hope this helped

Answer:

X = 16

Step-by-step explanation:

Answer:

2/3 = 6/9

3/5 = 12/20

2/10 = 4/20

1/3 = 2/6

4/6 = 8/12

La población del criadero de conejos reporta una tasa de crecimiento mensual de 30 conejos.

En esta pregunta tenemos la descripción de una población de conejos que crece a tasa constante tal que la población total aumenta en 120 en 4 meses. La variación mensual (r) experimentada por la población de conejos es igual al cambio total (N) dividido por el número de meses del período (T):

r = N / T

Si conocemos que N = 120 y T = 4, entonces la variación mensual es la siguiente:

r = 120 / 4

r = 30

La población aumenta a razón de 30 conejos cada mes.

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Answer:

6.3% < 0.55 < 22;30 < 11/13

Step-by-step explanation:

Herb spent 55 hours at the library.

Fractions defines a part of a whole and are represented as a numerical value. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Total time spent in the Library = 1/6 + 1/4 + 1/2

Total time spent = 11/12 x 60 mins

Total time spent = 55 hours

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According to the Pythagorean theorem, The Answer is Yes the third side is greater than 1 foot.

A right triangle is one that has an interior angle of 90 degrees. The hypotenuse, which is also the side of the right triangle that faces the right angle, is its longest side. The height and base make up the two arms of the right angle.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.

p=1 foot

b=1 foot

\(h^{2} = p ^{2} + b ^{2}\)

\(h=\sqrt {1^{2}+1^{2}}\\=\sqrt 2\\=1.41\\\)

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Answer:

$14.55

Step-by-step explanation:

that is the total cost of the snax

Answer:

Chickens

Step-by-step explanation:

The 4th one I'm sorry if my answers wrong i tried to understand it and thats what i got

I'm pretty sure its 24-

but im not completely sure

dice have six sides and you're rolling three times, so three times six- T-T

Answer:

216

Step-by-step explanation:

lots.

You can get any one of 6 results from the first die

You can get any one of 6 results from the second die

You can get any one of 6 results from the third die.

Outcomes = 6 * 6 * 6 = 216. Try list time and you will see that there must be that many.

Suppose the first die is a weighted die such that you always get one.

Suppose the other two dice are fair ones. And they each can be anything.

Those two fair ones will give you 36

Now if you catch on to the way the first die works and trade it for a fair one, you will get 6 times 36 which is 216

Answer: 68y+106=36-y

The Equation of bisector 5x-7y+3=0 which is a straight line.

A straight line that divides an angle of a triangle in equal value.

The line that lies perpendicular to a side and goes through the midpoint of its length.

Given, coordinate H (-7,2), K (3, -4) and L (5,4)

we plot a triangle HKL with this point.

midpoint of side HK is found by (-7+3)/2 and (2-4)/2

hence, midpoint of HK is (-2,-1) is denoted by P

the perpendicular bisector of side HK means a straight line from the midpoint of HK to the point L(5,4). The bisector line PL divide the angle HLK.

so, the equation of bisector is y-y₁ = (y₂-y₁)/(x₂-x₁)[x-x₁] because the bisector line passes through the point P(-2,-1) and L(5,4)

  y-(-1) = [4-(-1)]/[5-(-2)]× [x-(-2)]

y+1 = 5/7×(x+2)

7y+7= 5x+10

5x-7y+3=0

hence, the equation of bisector is 5x-7y+3=0

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Using a geometric sequence, it is found that after 3 rounds, 8 teams are left.

In a geometric series, the quotient between consecutive terms is always the same, and it is called common ratio q.

The general equation of a geometric series is given by:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term.

In this problem:

The number of teams after 3 rounds is the 4th term of sequence, as the first is the initial number(0 rounds), thus:

\(a_n = a_1q^{n-1}\)

\(a_4 = 64\left(\frac{1}{2}\right)^{4-1}\)

\(a_4 = 8\)

After 3 rounds, 8 teams are left.

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The end behavior of the polynomials are as follows;

(a) y = x³ - 9·x² + 8·x - 14

End behavior; y → ∞ as x → ∞

\({}\)                        y → -∞ as x → -∞

(b) y = -8·x⁴ + 13·x + 800

End behavior; y → -∞ as x → -∞

\({}\)                        y → -∞ as x → ∞

The end behavior of a polynomial is the characteristics of the graph of the polynomial as the input (x-values), tends to plus and minus infinity.

The factors that effect the end behavior of a polynomial are;

The degree of the polynomial, (even or odd)

The sign of the leading coefficient of the polynomial (positive or negative)

The leading coefficient is the coefficient of the term with the highest degree.

(a) The polynomial, function, y = x³ - 9·x² + 8·x  - 14

The specified polynomial is a third degree polynomial, with a positive leading coefficient of 1, the end behavior is therefore;

y tends to positive infinity as x tends to positive infinity

y tends to negative infinity as x tends to negative infinity

End behavior;

y → ∞ as x → ∞

y → -∞ as x → -∞

(b) The polynomial function can be expressed as follows;

y = -8·x⁴ + 13·x + 800

The above polynomial of degree 4 is an even degree polynomial

The leading coefficient of the polynomial is -8, therefore, the leading coefficient is negative

The shape of the graph of the polynomial is therefore ∩ shaped, such that the end behavior is as follows;

y-values approaches negative infinity as x approaches negative infinity

y-values approaches negative infinity as x approaches positive infinity

End behavior;

y → -∞ as x → -∞

y → -∞ as x → ∞

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Answer:

45

Step-by-step explanation:

Ratio is 2girls:3boys

if there were 27 boys, we would have the following ratio:

2g    xg

--- = ---

3b     27b

To get from 3 to 27, multiply by 9.

Now, do the same for the numerator.

Now we know we have 18 girls!

We can add:

27 boys and 18 girls=

45 members!

Answer:

\(slope = \frac{y2 - y1}{x2 - x1} \\ slope = \frac{10 - 5}{20 - 15} \\ = \frac{5}{5} \\ = 1\)

Answer:

0.9

Step-by-step explanation:

-2.5 + 5.2 + 1.7 + -0.8 = 3.6

Divide by the total count of numbers

= 0.9

Hope this helps!

Answer:

0.9

Step-by-step explanation:

To find the average or mean, you have to add up all the given numbers in your data set, then divide by how many numbers there are.

1. Add up -2.5 + 5.2 + 1.7 + (-0.8)=

(negative times positive equals negative)

simplify the signs

simplified answer= -2.5+5.2+1.7-0.8

Which equals

2. divide by how many numbers there are

So take 3.6 and divide it by 4.

why the number 4?

well, there are 4 numbers in the data set. so when you calculate the average, the formula would be to add up all the numbers in the data set and divide by how many numbers are in the data set and there are 4 numbers in the data set.

So... 3.6 divided by 4

is...

SOLUTION:

We start by looking at the total possible outcome for a game of dice.

We get a total of 36 outcomes.

i.e (1,1), (1,2), (1,3)....(1,6), (2,1),(2,2),...(6,6).

There is only a single chance of rolling a double at a single throw. This interpretes as 1/36

The possible combination of includes (4,6),(5,5) and (6,6). This interpretes as 3/36 or 1/12. Which is one of twelve rolls.

From the above we can conclude that to get either of the two winning option,

Hence, you have 1 in nine chances to win double your money ($10) or $20. This means you have to play a minimum of 9 times to win one of those. This would have cost you $45.

Final answer

So, I will not play this game because the chances of winning is slim

The simplified radical expression is given as follows:

\(\sqrt{363} - 3\sqrt{27} = 2\sqrt{3}\)

The radical expression for this problem is given as follows:

\(\sqrt{363} - 3\sqrt{27}\)

The first step in simplifying the expression is obtaining the prime factors of 363 and of 27, hence:

Hence the radicals are simplified as follows:

Hence the simplified expression is:

\(\sqrt{363} - 3\sqrt{27} = 11\sqrt{3} - 3 \times 3\sqrt{3} = (11 - 9)\sqrt{3} = 2\sqrt{3}\)

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Answer:

? = 900

Step-by-step explanation:

lets change ? to x

(100 + x) / 100 = 10

we will substitute /100

(100 + x) /100 · 100 = 10 · 100

100 + x = 1000

we substitute +100

100 + x -100 = 1000 - 100

x = 900

hope this helps =D happy learning!!

ANSWER

$31.49

EXPLANATION

The original price of the skateboard was $44.99

There is a 30% discount on the skateboard.

What we need to do is find 30% of the price of the skateboard and subtract that from the original price.

That is:

Now subtract from the original price:

Sales Price = $44.99 - $13.50

Sales Price = $31.49

In every 10 minutes an average of 3 customers will arrive to the pizza station

Given,

The number of customers arriving to the pizza station follows a poisson distribution with a rate of 18 customers per hour.

We have to find the average number of customers arrives in each 10 minutes.

Here,

The chance that X represents the number of successes of a random variable in a Poisson distribution is provided by the following formula:

P (X = x) = (e^-μ × μ^x) / x!

Where,

The number of successes is x.

The Euler number is e = 2.71828.

μ is the average over the specified range.

Now,

Rate of 18 customers per hour;

μ = 18 n

n is the number of hours.

Number of customers arrive in each 10 minutes

10 minutes = 10/60 = 1/6

Then,

μ = 18 x 1/6 = 3

That is,

In every 10 minutes an average of 3 customers will arrive to the pizza station.

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Answer:

not

Step-by-step explanation:

Answer:

non-equivalent

Step-by-step explanation:

the equivalend fraction of \(\frac{2}{3}\) is \(\frac{6}{9}\) not \(\frac{6}{10}\)

Answer:

300

Step-by-step explanation:

621 rounds to 600 because 21 is smaller than 50. 267 round to 300 since 67 is bigger than 50.

600-300=300

The amount you have after 18 months is $ 1143.96 .

what is compound interest?

Interest that is added to a loan or deposit sum is known as compound interest. In our daily lives, it is the notion that is employed the most frequently. Compound interest is calculated for a sum using the principal and interest accrued over time. Compound interest and simple interest differ primarily in this way.

\(A=P {(1 +\frac{r}{n})^{nt} }\)

Given:

P = 1000 , r in decimal  = 0.09 ,

n = 12 ,  t = 1.5 ( 18 months = one and a half years).

Substituting the values into the formula:

A = 1000 ( 1 + 0.09/ 12 ) ^[12 ( 1.5 )]          

  ≈ 1000 ( 1.143960 )          

  = 1143.960

Rounding to the nearest cent, we get $ 1143.96 .

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The answer of the given question based on the percent is , 20.49 trillion is about 52.84% larger than 13.4 trillion.

Percentage is a way of expressing a quantity or value as a fraction of 100. It is a widely used method for describing proportions, rates, changes, and comparisons in various fields such as mathematics, economics, statistics, science, and everyday life. The term "percent" literally means "per hundred", and it is represented by the symbol "%". To convert a number to a percentage, we multiply it by 100 and add the symbol "%".

To find the percent larger that 20.49 trillion is to 13.4 trillion, we can use the following formula:

Percent change = (New value -Old value) /Old value * 100%

Plugging in the values we have:

Percent change = (20.49 trillion - 13.4 trillion) / 13.4 trillion * 100%

= 7.09 trillion / 13.4 trillion * 100%

= 52.84%

Therefore, 20.49 trillion is about 52.84% larger than 13.4 trillion.

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Answer:

2 is really answer it is this question bro than ka for good point

Step-by-step explanation:

hello shreekant thanks 886A bubs 2 is answr

The probability of selecting a junior who takes the bus is P (Junior who takes the bus) = 12/200 = 0.06Hence, the probability that a randomly selected student is a junior who takes the bus is 0.06 or 6/100.

The given frequency table on how students get to school among the high school students is represented in the below table:Transportation Walk Bike BusDriveTotalGrade 9 11 10 14 15 50Grade 10 10 7 13 20 50Grade 11 8 6 12 24 50Grade 12 5 8 8 29 50 Total 34 31 47 88 200Given data from the above frequency table, we are interested in finding the probability of a randomly selected student being a junior who takes the bus.SolutionWe know that the total number of students is 200, and the total number of junior students is 50. Hence the probability of selecting a junior is P (Junior) = 50/200 = 0.25Similarly, the number of students who take the bus is 47 and the number of junior students who take the bus is 12.

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