What is the explicit rule for the arithmetic sequence shown in the graph?

Answer:

Number of cm= 40 cm

Step-by-step explanation:

Giving the following information:

3 cm equals 45 kilometers

1 cm= 45 /3 = 15km

We need to determine how many centimeters represents 600 km. We will use the following formula:

Number of cm= total km / km per one cm

Number of cm= 600 / 15

Number of cm= 40 cm

Answer:

112 square feet

Step-by-step explanation:

14 x 8 = 112

Answer:

112 feet

Step-by-step explanation:

l x w

Answer:

I’m pretty sure x=6

Step-by-step explanation:

Answer:

[tex]15.32[/tex]

Step-by-step explanation:

Eleven and seven-hundredths [tex]=11+\frac{7}{100}[/tex]

(Here, [tex]\frac{1}{100}[/tex] denotes the hundredth)

Four and twenty-five hundredth [tex]=4+\frac{25}{100}[/tex]

Therefore,

Sum of Eleven and seven-hundredths added to four and twenty-five hundredth = [tex]11+\frac{7}{100}+4+\frac{25}{100}[/tex]

[tex]=15+\frac{32}{100}[/tex]

[tex]=15+0.32[/tex]

[tex]=15.32[/tex]

Answer:

y = 2x

Step-by-step explanation:

We know the y intercept of the line is 0

We can find the slope

(0,0) and  (3,6)

m = (y2-y1)/(x2-x1)

   = (6-0)/(3-0) = 6/3 = 2

The equation of a line in slope intercept form is

y= mx+b where m is the slope and b is the y intercept

y =2x+0

y = 2x

Answer:

84boys

Step-by-step explanation:

boys:girls

7:4

4= 48

7=?

=84boys

Answer:

if we get 0, when we plug the value of f(x) as 6 in f(x) then (x-6) is a factor of f(x)

f(6) is not equal to 0

then (x-6) is not a factor of f(x) = 2x^4-3x^3+4x-3

Answer:

y+3=1/4(x-8)

simplified -> y+3=1/4x-2

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=1/4(x-8)

y+3=1/4(x-8)

If you want it to be further simplified

y+3=1/4x-2

Answer:

D

Step-by-step explanation:

Option A doesn't give any statistical data, B is the same as A, and C doesn't show accurately how many students replied yes or no.

Answer:

he saves 3 dollars. its not worth it.

Step-by-step explanation:

you divide 12 by ten getting you 1.2 which you subtract from 1.50 that then multiply that by 10

Answer:

Convert to a mixed number by placing the numbers to the right of the decimal over

1000000

. Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.

1154701/1000000

Step-by-step explanation:

Answer: with these values I don't find any of cones

Step-by-step explanation: volume is 1/3 x pi x r^2 x h

And radius r = diameter/2. Is you round pi/3 =1 it's easier.

Possible measures: d=2 and h=18

D= 4 and h= 4.5 or d= 6 and h=2

Answer:

16.6

Step-by-step explanation:

somtimes you gotta pay attention to you're math teacher

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Hypotenuse² = Base² + Length²

The height of the building is 32.8 feet

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

If you place a 26-foot ladder against the top of a building and the bottom of the ladder is 20 feet from the bottom of the building.

This can be written as,

Hypotenuse = 26 feet

Base = 20 feet

Height = height of the building

Now,

Applying the Pythagorean theorem.

Hypotenuse² = Base² + Length²

26² = 20² + Height²

Height² = 676 + 400

Height² = 1076

Height = √1076

Height = 32.8 feet

Thus,

The height of the building is 32.8 feet

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Answer:

x=30

m<G

3(30)-17

73

m<H

x+13

43

Step-by-step explanation:

Answer:

m∠G = 73°

m∠H = 43°

Step-by-step explanation:

Use the exterior angle theorem. The exterior angle theorem states that the exterior angle's measurement will be the sum of the two opposite interior angles. Set the equation:

(3x - 17) + (x + 13) = 116

First, combine like terms by simplifying:

3x + x - 17 + 13 = 116

4x - 4 = 116

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

~

First, add 4 to both sides of the equation:

4x - 4 = 116

4x - 4 (+4) = 116 (+4)

4x = 116 + 4

4x = 120

Next, divide 4 from both sides of the equation:

(4x)/4 = (120)/4

x = 120/4

x = 30

Plug in 30 for x for each angle measurement:

m∠G = 3x - 17

m∠G = 3(30)  -17

m∠G = 90 - 17

m∠G = 73°

m∠H = x + 13

m∠H = 30 + 13

m∠H = 43°

Check:

180 - 73 - 43 = 64 (Summation of a triangle's angle).

180 - 64 = 116 (Theorem of line).

Answer:

y= 25

i think

Step-by-step explanation:

Answer:

p=17+6h

Step-by-step explanation:

Answer:

After 3 hours, both will have saved $21.

Step-by-step explanation:

Answer:C

Step-by-step explanation:sorry if i get it wrong

Answer:

A

Step-by-step explanation:

Answer:

c = 8

Step-by-step explanation:

36/c = 45/10

36 * 10 = 45 * c

360 = 45c

c = 360/45

c = 8

The total amount of money charles must have had at the beginning is 36 pesos.

What are fractional linear equations and how one can solve it?

Linear equations which are in the form of fractions are referred as fractional linear equations.

an equation containing the unknown in the denominator of one or more terms (as a/x + b/(x + 1) = c)

It is frequently simplest to eliminate the fraction in the first step when dealing with fractions incorporated into linear equations. Typically, this entails locating the fraction's LCD and multiplying each term in the entire equation.

Solution:

Given:

Money left with charles = 12 pesos

Money spent = 2/3 of the total amount.

Find:

Total Money he had at first = ?

Step-1:

Let x denote the total amount of money he had at the beginning.

After spending 2/3 of his money he is left with 1/3 of part of his money.

Step-2:

So the equation can be written as:

1x/3 = 12

x = 36

Hence the total money he had at the beginning was 36 pesos.

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Answer:

9

Step-by-step explanation:

so sorry if im too late...

Answer:

the ans is

Step-by-step explanation:

V=πr2h=π·32·6≈169.646

Answer:

2x+8x+6

Step-by-step explanation:

Answer:

Step-by-step explanation:

.......

Answer:

The expression will be : (x+9) /2

An algebraic expression is an expression built up from integer constants , variables , and the algebraic operations.

Let us take the number to be : x

Now, ( half of the sum of 9 and a number ) will be : (x+9)/2

Dividing x and 9 with 2 we get,

the second expression which is different but equivalent to first will be :

=0.5 x + 4.5

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Answer:

The highest height the ball achieves is 4.5125 meters.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

In this question:

Quadratic function [tex]y = -0.2x^2 + 1.9x[/tex], which has [tex]a = -0.2, b = 1.9[/tex].

The maximum height of the ball is [tex]y_{v}[/tex].

Then

[tex]\Delta = b^2-4ac = (1.9)^2 - 4*(-0.2)(0) = 3.61[/tex]

[tex]y_{v} = -\frac{3.61}{4(-0.2)} = 4.5125[/tex]

The highest height the ball achieves is 4.5125 meters.

9514 1404 393

Answer:

  no

Step-by-step explanation:

The dimensions will be those of a rectangular mirror if the diagonal measure is the hypotenuse of the right triangle with the given side lengths.

The Pythagorean theorem would require for some width w ...

  w^2 +24^2 = 30^2

  w^2 = 900 -576 = 324

  w = √324 = 18

A rectangular mirror with a length of 24 inches and a diagonal of 30 inches will have a width of 18 inches, not 16.

__

The attachment shows that a width of 16 inches is not consistent with a right-angle corner.

_____

Additional comment

If you reduce the given numbers to lowest terms by dividing them by 2, they become 8, 12, 15. That is, the two shortest sides are even and the longest is odd. Any set of integer dimensions for a right triangle must have an even number of odd numbers (0 or 2). These numbers cannot be a Pythagorean triple, so cannot make a right triangle.

Answer:

-21, -20, -19, --18, -17, -16, -15, -14, -13, -12, -11

Step-by-step explanation:

There is no step by step explanation.