solve each equation
9x^2=27x​

Answer:

2550

Step-by-step explanation:

2 + 4 + 6 + ……… + 98 + 100

= (2×1) +(2×2) + (2×3) + ……… + (2×50)

= 2 × (1 + 2 + 3 + ………. + 50)

The sum (S) of n natural numbers is given by -

S = (n × (n + 1) )/2

Therefore,

2 × (1 + 2 + 3 + ……… + 50)

= 2 × ((50 × 51)/2)

= 2 × (2550/2)

= 2 × 1275

= 2550

Hope this helps!

Eh?..

\( \: \: \: \)

Answer:

Step-by-step explanation:

"jisoo"

j = 1

i = 1

s = 1

o = 2

\(p = \frac{n!}{k!} = \frac{5!}{2!} = \frac{5 \times 4 \times 3 \times 2 \times 1}{2 \times 1} = \frac{120}{2} \)

P = 60 word order

------------

"cantik"

c = 1

a = 1

n = 1

t = 1

i = 1

k = 1

\(p = n! = 6! = 6 \times 5 \times 4 \times 3 \times 2 \times 1\)

P = 720 word order

------------

"sudah"

s = 1

u = 1

d = 1

a = 1

h = 1

\(p = 6 \times 5 \times 4 \times 3 \times 2 \times 1\)

P = 120 word order

Answer:

  20 km/hr

Step-by-step explanation:

The boat's still-water speed is the average of its speeds against and with the current:

  (15 +25)/2 = 20 . . . km/hr

__

If you want to write equations, you can let b and c represent the speeds of the boat and current in km/hr.

  b - c = 15 . . . . upstream speed

  b + c = 25 . . . . downstream speed

Add these two equations, and you get ...

  (b -c) +(b +c) = (15) +(25)

  2b = 40

  b = 20 . . . . divide by 2

The speed of the boat in still water is 20 km/hr.

Answer:

20 km/hr

Step-by-step explanation:

To solve this, you have to find the average speed it is going. To find this, you just add up all of the speeds mentioned and divide it by the number of speeds you added.

15 +25=40

40/2=20

20km/hr!!!

Good luck on what you are doing I hope you do well! Brainliest would be great :)

Answer:

When we have a mean M and a standard deviation S, the values that are within the mean absolute deviation are all the values in the interval:

[M -S, M + S]

In this case, we have:

M = 782

S = 52

Then the interval is:

[782 - 52, 782 + 52]

[730, 834]

Then any number between 730 and 834 are possible answers to this question, for example, we can choose:

789 and 801

Answer:

No the relation is not a function.

Step-by-step explanation: There is no current rate or slope

Answer:

its not a function

Answer:

Step-by-step explanation:

Answer:

-- Hamburgers got 33 total votes.

-- Tacos got 84 total votes.

-- Pizza got 82 total votes.

Tacos and pizza are almost equally preferred.

-- Tacos are out in front of pizza, but only by 2 votes.

-- Hamburgers are way behind, with less than half the votes of either tacos OR pizza.Step-by-step explanation:

Answer:

Step-by-step explanation:

Comment

For this particular problem, the 10^6 will not be affected. All you have to do is divide 9.45 by 2. When you do that, you get

9.45/2 = 4.725

Now add on the 10^6

The answer is 4.725 * 10^6

Personally, I would likely round this to 4.73 because you were given 3 digits of accuracy, so you should give your answer as 3 digits.

Answer:

In image

Step-by-step explanation:

if y=3x^2

if x is 1 y is 3 because if you substitute x for 1, 1^2 = 1, And 3•1 = 3

if x is 2 y is 12 because if you substitute x for 2, 2^2 = 4 and 3•4 =12

Keep going using this formula, You can go into the negatives by substituting x for a negative number aka -1 or -2

Answer:

A. 5.75

Step-by-step explanation:

11.5/2 = 5.75

The productivity of the painter is 0.66 up to two decimal places. It is attained by applying the knowledge of the division of two numbers and decimals to the provided problem.

What is decimal?

A decimal is a quantity that is distributed into two components, namely a whole and a fraction. A decimal number represents the numerical value lying in between the two integers. A decimal point (.) is used to segregate the fractional part from the whole part of a number.

E.g. 1.5, 0.06, 7.05, etc.

Calculation of the productivity of the painter

Productivity of the painter is obtained by dividing the number of houses painted by the number of days taken to paint them

The number of houses painted is 4

The number of days taken to paint 4 houses is 6 days

Productivity = 4 ÷ 6

                  = 0.666

Thus, the productivity of the painter is 0.66 up to two decimal places.

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Answer:

230 g

Step-by-step explanation:

4.3 x molar mass of NH4Cl

Molar Mass of NH4Cl = 14.0067 + 4x1.0079 + 35.453 = 53.491

4.3 x 53.491 = 230 g

The cost per pound of the cinnamon tea and of the spice tea would be = cinnamon $31.76 dollars per pound

spice $58.24 dollars per pound.

The volume of the cinnamon tea = 8 Ib

The volume of the spice tea = 6 Ib

The total volume of mixture = 14 Ib

The volume of the cinnamon tea = 4 Ib

The volume of the spice tea = 16 Ib

The total volume of mixture = 14 Ib

Add the both constitutes of the mixture;

Total volume of cinnamon tea in both mixture = 8+4 = 12 Ib.

Total volume of spice tea in both mixture = 6+16 = 22 Ib

Total weight of the both mixture = 12+22 = 34 Ib

Total price for both mixture = 38+52 = $90

The cost of cinnamon alone;

= 12/34 × 90/1

= 1080/34

= $31.76

The cost of spice tea = 90- 31.76 = $58.24.

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Answer:

Slope-intercept form: \(y=-\frac{7}{4}x-\frac{19}{2}\)

Point-slope-form: \(y-1=-\frac{7}{4}(x+6)\)

Step-by-step explanation:

Hi there!

We want to find the equation of the line perpendicular to the line 4x-7y=2 that goes through (-6, 1) in slope-intercept form, as well as the point-slope form

Slope-intercept form is defined as y=mx+b, where m is the slope and b is the y intercept

Point-slope form is defined as \(y-y_1=m(x-x_1)\), where m is the slope and \((x_1, y_1)\) is a point

Meanwhile, perpendicular lines have slopes that are negative and reciprocal. When they are multiplied together, the result is -1

So let's find the slope of the line 4x-7y=2

The equation of the line is in standard form, which is ax+by=c, where a, b, and c are integer coefficients a is non-negative, and a and b aren't 0

So let's find the slope of the line 4x-7y=2

One way to do that is to convert the equation of the line from standard form to slope-intercept form

Our goal is to isolate y onto one side

Subtract 4x from both sides

-7y=-4x+2

Divide both sides by -7

y=\(\frac{4}{7}x-\frac{2}{7}\)

So the slope of the line 4x-7y=2 is \(\frac{4}{7}\)

Now, we need to find the slope of the line perpendicular to it

Use this formula: \(m_1*m_2=-1\)

\(m_1\) in this case is \(\frac{4}{7}\)

\(\frac{4}{7}m_2=-1\)

Multiply both sides by \(\frac{7}{4}\)

m=\(-\frac{7}{4}\)

Let's see the equation of the perpendicular line so far in slope-intercept form:

y=\(\frac{-7}{4}x\)+b

We need to find b now

The equation of the line passes through (-6,1), so we can use it to solve for b.

Substitute -6 as x and 1 as y

\(1=-\frac{7}{4}*-6+b\)

Now multiply

1=\(\frac{42}{4}+b\)

Subtract 42/4 from both sides to isolate b

-19/2=b

Substitute -19/2 as b into the equation

The equation in slope-intercept form y=\(\frac{-7}{4}x-\frac{19}{2}\)

Now, here's the equation in point-slope form

Recall that the slope is \(\frac{-7}{4}\) , our point is (-6, 1), and point-slope form is \(y-y_1=m(x-x_1)\)

Let's label the value of everything to avoid any confusion

\(m=-\frac{7}{4} \\x_1=-6\\y_1=1\)

Now substitute those values into the equation

\(y-1=-\frac{7}{4}(x--6)\)

We can simplify the x--6 to x+6

\(y-1=-\frac{7}{4}(x+6)\)

Hope this helps!

Given function:y = √(1 – x³)We need to find dy/dx.As per the chain rule of differentiation, if y = f(u) and u = g(x), then the derivative of y with respect to x is given by dy/dx = dy/du * du/dx.

Now, let u = 1 – x³. Then, y = √u ⇒ y = u^(1/2).

dy/dx = dy/du * du/dxdy/du = 1/(2√u) = 1/(2√(1 – x³))du/dx = -3x²Therefore, dy/dx = dy/du * du/dx = 1/(2√(1 – x³)) * (-3x²) = (-3x²)/(2√(1 – x³)).

Therefore,  (A) 3(1 - x²)².Option (A) is the correct answer.

The given function is y = √(1 – x³) and we need to find dy/dx. As per the chain rule of differentiation, if y = f(u) and u = g(x), then the derivative of y with respect to x is given by dy/dx = dy/du * du/dx.

Let u = 1 – x³. Then, y = √u ⇒ y = u^(1/2).

We need to find dy/dx.dy/dx = dy/du * du/dxdy/du = 1/(2√u) = 1/(2√(1 – x³))du/dx = -3x².

Therefore, dy/dx = dy/du * du/dx = 1/(2√(1 – x³)) * (-3x²) = (-3x²)/(2√(1 – x³)).

Thus, dy/dx = (-3x²)/(2√(1 – x³)).Therefore, the correct option is (A) 3(1 - x²)².  

The derivative of the given function y = √(1 – x³) with respect to x is (-3x²)/(2√(1 – x³)) and the correct option is (A) 3(1 - x²)².

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Step-by-step explanation:

The equation |a| = 5 represents the set of all real numbers whose absolute value is equal to 5. Geometrically, this corresponds to two points in the number line located 5 units away from the origin in opposite directions.

To plot these numbers, we can mark the two points on a number line. One point would be located at -5, and the other at +5. These points are equidistant from the origin, and represent the two solutions to the equation |a|=5.

Here is a sketch of the number line with the two points plotted:

-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

| | | | | | |

* *

The "*" symbols represent the two points that satisfy the equation |a| = 5.

Answer:

(x+2)^2 - 6

Step-by-step explanation:

Answer:

y = -3.5x + 69.

Step-by-step explanation:

Answer:

I hope this helps

Step-by-step explanation:

The answer is 3.453

Answer:

y + 8 = 3(x - 8)

Step-by-step explanation:

y - \(y_{1}\) = m(x - \(x_{1}\)) Use point-slope form.

y - (-8) = 3(x - 8) Substitute \(y_{1}\)for -8, m for 3, and \(x_{1}\) for 8.

y + 8 = 3(x - 8) is the equation.

(I'd appreciate a brainliest! thanks)

The experimental variable is plotted on the x-axis in a graph, while the y-axis represents the dependent variable or the outcome being measured in response to changes in the independent variable.

In a graph, the experimental variable is typically plotted on the x-axis. The x-axis represents the independent variable, which is the factor being manipulated or controlled by the experimenter. This variable is often plotted horizontally along the bottom of the graph.

The y-axis, on the other hand, represents the dependent variable, which is the outcome or result that is measured or observed in response to changes in the independent variable. The y-axis is typically plotted vertically along the side of the graph.

The x-axis and y-axis together form a Cartesian coordinate system, with the x-axis representing the horizontal axis and the y-axis representing the vertical axis. This allows for the representation of the relationship between the independent and dependent variables in the form of a scatter plot, line graph, bar graph, or other types of graphs.

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To guarantee to select at least one odd integer, pick one from {1,3,5,...,2n-1}. To guarantee at least one even integer, pick two from {0,2,4,...,2n}.

To be sure of getting at least one odd integer, you need to pick just one integer from the set {1,3,5,...,2n-1}. Any integer in this set is odd, so selecting just one integer guarantees that you will get an odd integer.

On the other hand, to be sure of getting at least one even integer, you need to pick two integers from the set {0,2,4,...,2n}. If you pick only one integer from this set, it could be an odd integer, which means you didn't get an even integer. But if you pick two integers, at least one of them must be even. This is because if you pick two odd integers, their sum will be even, and if you pick an even integer and an odd integer, their sum will be odd.

In summary, to be sure of getting at least one odd integer, you need to pick one integer from {1,3,5,...,2n-1}, and to be sure of getting at least one even integer, you need to pick two integers from {0,2,4,...,2n}.

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Answer: 3, 4

Step-by-step explanation:

and the common factor between these 2 numbers is 1 so 3,4 is its greatest factor

Answer:

The answer is B. 39.0

Step-by-step explanation:

To find the average we add all the numbers then divide it by the total amount of numbers

= 23 + 33 + 33 + 27 +25 + 68 + 27 + 44 + 72/9

= 352/9

= 39.111111111

Round it of to the nearest tenth

= 39.0

Answer:

I don't know I'm really really sorry now can you give me a

Answer:

725 x0.05=36.25

Step-by-step explanation:

when finding percentage move the decimal over two places, making 5 0.05