Write an
explicit formula for an, the nth term of the sequence 21, 27, 33, ....

Answer:

y km = (x+2)y km

Step-by-step explanation:

Given that,

A car covers (x+2) kilometre in 1 litre.

We need to find the distance it will cover in y litres.

1 litre = (x+2) km

y km = (x+2)y km

Hence, it will cover (x+2)y km in y litres.

Answer:

Step-by-step explanation:

Answer:

14/2+t/2 so ( 14+t)/2 is the answer

The expression contain sum and factor.

The correct option is (C).

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

Given:

3 x(5+7)

In the Above Expression we have two operation Multiplication and Addition.

Also, the Multiplication is also termed as factor.

Hence, the expression contain sum and factor.

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The requreid, in the given diagram, we can see a circle, and it is indicated that the center of the circle is L.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

Where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.

Here,
In the given diagram, we can see a circle, and it is indicated that the center of the circle is L. The center of a circle is a point that is equidistant from all points on the circumference of the circle. This means that if we draw a line segment from the center to any point on the circumference of the circle, the length of that line segment will be the same as the length of the line segment from the center to any other point on the circumference.

Thus, the requreid, in the given diagram, we can see a circle, and it is indicated that the center of the circle is L.

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Answer:

6th floor

Step-by-step explanation:

Answer: Answer is A. y = 4x - 3

Graph the line using the slope and y-intercept, or two points.

Slope:  2/ 5

y-intercept:  ( 0 , − 1 )

x           y

0          − 1

5/ 2       0

Step-by-step explanation:

How do you graph y=4x-3?

In graphing an equation, a very valuable graphing technique is the ability to recognize the kind of graph that a certain type of equation produces.

Any equation that is of the form y = mx + b is in the "slope-intercept" form for the equation of a straight line, where x and y are variables, where “m” is a real number representing the slope of a line, and where “b” is a real number representing the y-intercept of a line , i.e., the y-coordinate of the point of intersection between a straight-line graph and the y-axis.

Since the given equation y = 4x ‒ 3 is in the slope-intercept form, where m = 4 and b = ‒3, then it’s a linear equation and its graph is a straight line. Also, looking at the given equation, we know that the independent variable x can take on any real number as a replacement.

Now that we know that the graph of the given equation is a straight line and that there are no restrictions on the variable x, we need to determine and then draw the straight-line graph on a Cartesian (rectangular) coordinate system with the y-axis as the vertical axis and the x-axis as the horizontal axis. We know that two points determine a straight line; So, all we need to do is find the point where the straight-line graph of the given equation y = 4x ‒ 3 intersects the x-axis, i.e., the point of the x-intercept, and find the point where the straight-line graph of y = 4x ‒3 intersects the y-axis, i.e., the point of the y-intercept. Also, it would be a good idea to plot a third point as a check.

(1.) Determining the point of the x-intercept:

For any point on the x-axis, the y-coordinate is zero; therefore, in our given equation, let y = 0 and solve for x as follows:

y = 4x ‒3

0 = 4x ‒3

0 + 3 = 4x ‒3 + 3

(1/4)(4x) = (1/4)(3)

x = 3/4

Therefore, the x-intercept is x = 3/4, and the graph of the given equation y = 4x ‒3 intersects the x-axis at the point (3/4, 0).

(2.) Determining the point of the y-intercept:

To get the y-intercept, we can simply select it from the given equation y = 4x ‒3 which is already in slope-intercept form (y = mx + b), i.e., y = 4x ‒3 or y = 4x + (‒3); therefore, the y-intercept of the straight-line graph of the given equation is y = b = ‒3, which is the y-coordinate of the point of intersection between the straight-line graph of the given equation and the y-axis. Also, for any point on the y-axis, the x-coordinate is zero; therefore, the straight-line graph of the given equation intersects the y-axis at the point (0, ‒3).

(3.) Check Point

In generating a third point as a check point, choose a convenient value for x so that the corresponding value for the dependent variable y is nice and even. Let x = 2, then:

y = 4x ‒3

= 4(2)‒ 3

= 8 ‒ 3

y = 5

Consequently, the third point (check point) on the straight-line graph of the given equation is (2, 5).

(4.) Plot the points

Now, create the straight-line graph of the given equation by plotting the three points: (3/4, 0), (0, ‒3), and (2, 5) on a Cartesian (rectangular) coordinate system, and then use a straight edge to draw the straight line through all three plotted points. Draw the line past the two outer points and then draw an arrowhead at each “end” of the line to show that the line goes on indefinitely in both directions. NOTE: If the third point (2, 5)(the check point) is not on the drawn line, then go back and look for an error. The error was either made in finding the x- and y-intercepts, or the error was made in generating the coordinates of the check point, or both. When the error is found, make the appropriate correction(s), and then redraw the graph (straight line) of the given equation.

These are four steps that you can use to graph the given equation y = 4x ‒3 or any equation that is in the slope-intercept form for the equation of a straight line: y = mx + b.

Answer:

a. $1,617

b. $4,983

Step-by-step explanation:

a. The account suffered a decrease of 24.5% of the original sum of $6,600.

This amount in cash is:

= 24.5% * 6,600

= $1,617

b. If the account reduced by $1,617, the balance left is:

= 6,600 - 1,617

= $4,983

Answer:

b i think?

Step-by-step explanation:

Answer:

16384

Step-by-step explanation:

You have to find 2 to the 14th power (that's the rule)

Hope that helps!

draw a rectangle triangle :

sin B=8/17 that means that de biggest side are 17 ("hipotenusa"), and another side is 8. Applying de theorem of pythagoras:

[tex]17^{2} =8^{2} +x^{2} \\x^{2} =17^{2} -8^{2}\\x=\sqrt{17^{2} -8^{2}} \\x=5\sqrt{5}[/tex]

Answer:

The answer is 4,276

I hope it helps

Answer:

1

Step-by-step explanation:

-5 is a constant because its a number on its own without a variable

Answer:

There is only 1 constant

Step-by-step explanation:

the constant is -5 because it's alone without any variables

Answer: Slope: 1/2 Point: (0, 3/2)

Step-by-step explanation:

Answer:

For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3).

Answer:

option B: 1/45

Step-by-step explanation:

option B isthe correct answer of this question.

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.

Step-by-step explanation:

hope this will help you.

Answer:

40%

Step-by-step explanation:

it's easiest to get a percentage from 100, multiplying 25 by 4 gives you 100 so if you do that then multiply 10 by four to make the equation even that will give you the answer

Answer:

Hence, 3/2 and 1 are the roots of the equation.

Ans is 351/8.

hope it is helpful

Answer:

1. y = 11

x = -48

2. a =8

b= -10

3. x= 1

y= 2

Step-by-step explanation:

1 . 6x + 5y = 7

x-y= 3

6x+5y = 7

6x-6y =18

-1y = - 11

6x + 5y = 7

y = 11

6x + 55 = 7

6x = -48

x = -48

Answer:

The answer is 81.834375

Step-by-step explanation:

Hope this helps

Answer:

$81.83

Step-by-step explanation:

Amount spent: £75.25

Sales tax: 8.75%

1% of 75.25 = 0.7525

0.7525 x 8.75 = 6.584375

75.25 + 6.584375 = 81.834375

As this question involves money it needs to be rounded to 2 decimal places:

$81.83

Answer:

32.012 kg < 32.02 kg

Step-by-step explanation:

32.012 kg < 32.02 kg

Answer:

to find your y intercept use y= mx + c

Answer:

2.85kg

Step-by-step explanation:

3/5kg = 0.6kg

2 1/4 kg = 2.25 kg

0.6kg + 2.25kg = 2.85kg

Answer:

Your answer

Price after reducing is 4.35$

Mark it as Brainlist. Follow me for more answer.

Step-by-step explanation:

Answer:

78.3 or 78.29

Step-by-step explanation:

We are asked to find the height of the figure which is the vertical side of the triangle. We are given an angle and we are a side opposite of that angle( the height of the platform) and the hypotenuse 152. So we are going to use sine.

Opposite/Hypotenuse

We use this equation

[tex] \sin(theta) = \frac{opp}{hypo} [/tex]

Plug in the values

[tex] \sin(31) = \frac{x}{152} [/tex]

Which is about 78.29

Answer:

64

Step-by-step explanation:

(2^3)^2 = (8)^2 = 64

Answer:

[see below]

Step-by-step explanation:

Use the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

'c' will be the hypotenuse.

The hypotenuse is 15 cm.  One of the legs is 5 cm.

[tex]5^2+b^2=15^2\\\\25 + b^2 = 225\\\\25-25+b^2=225-25\\\\b^2=200\\\\\sqrt{b^2}=\sqrt{200}\\\\ b=14.1421356237..., -14.1421356237[/tex]

14.1421356237 ≈ 14.1

The other leg should be about 14.1 cm.

Hope this helps.

The length of the other leg is 14.14 cm rounded to two decimal places.

In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

Given, The hypotenuse of a right triangle measures 15 cm, and one of its legs measures 5 cm.

We know,

Hypotenuse² = Base² + Adjacent².

Therefore,

15² = 5² + Adjacent².

Adjacent = √(225 - 25).

Adjacent = √200.

Adjacent = 14.14.

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