a number is greater than 12​

Answer:

y = -x + 3

Step-by-step explanation:

the equation is parallel to the line

y + x = 4

y = 4 - x

parallel means the same slope. So our new equation has a slope of -1

Now, the equation of a line is given by y = mx + b where m is the slope.

y = -x + b

now we plug in the points given in the question to find b.

4 = 1 + b

b = 3

so the final answer is y = -x +3

make sure to comment if you need any further guidance.

The estimated areas are listed below:

Right Riemann sum based on trapezoids offer a compact method that combines upper and lower sums, which is defined below:

[tex]A = \frac{b-a}{2\cdot n}\cdot \sum_{i = 0}^{n-1} [f(x_{i})+f(x_{i+1})][/tex]   (1)

Where:

In this question we must apply right Riemann sums to estimate the areas of functions on given intervals. Now we proceed to solve each case below:

[tex]A = \frac{1-0}{2\cdot (4)} \cdot [(0+\sqrt{0.5})+(\sqrt{0.5} + 1)+(1+\sqrt{1.5})+(\sqrt{1.5}+2)][/tex]

A ≈ 0.806

The area of the function is approximately 0.806. [tex]\blacksquare[/tex]

[tex]A = \frac{2-0}{2\cdot (4)}\cdot [(4+1.472)+(1.472+0.541)+(0.541+0.199)+(0.199-0.073)][/tex]

A ≈ 2.088

The area of the function is approximately 2.088. [tex]\blacksquare[/tex]

[tex]A = \frac{2-1}{2\cdot (5)} \cdot [(1+0.833)+(0.833+0.714)+(0.714+0.625)+(0.625+0.556)+(0.556+0.5)][/tex]

A ≈ 0.696

The area of the function is approximately 0.696. [tex]\blacksquare[/tex]

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Answer:

Juan can buy 6 outfits with the money that's left over.

Step-by-step explanation:

Take $640-$265.36-$13.61-$37.11 and then divide

the answer, $332.92 by $54.87.

Juan spent a total of $316.08 on the bicycle, reflectors, and gloves. With the remaining $323.92, he can buy a maximum of 6 biking outfits priced at $54.87 each.

Given that,

Juan has $640 to spend at a bicycle store for new gear and biking outfits.

He buys a new bicycle for $265.36.

He buys 2 bicycle reflectors for $13.61 each.

He buys a pair of bike gloves for $37.11.

To determine the greatest number of outfits Juan can buy with the money he has left,

Calculate the remaining amount after purchasing the bicycle, reflectors, and gloves.

Juan's initial budget is $640.

After buying the bicycle for $265.36, the remaining amount is,

$640 - $265.36 = $374.64.

Next, he buys 2 bicycle reflectors for $13.61 each, which is a total of

2 x $13.61 = $27.22.

Subtracting this amount from the remaining budget, we have

$374.64 - $27.22 = $347.42.

Additionally, he purchases a pair of bike gloves for $37.11, leaving him with $347.42 - $37.11 = $310.31.

Finally, dividing the remaining budget by the cost of each biking outfit, which is $54.87,

Then Juan can buy a maximum of $310.31 / $54.87 ≈ 6 outfits.

Therefore, the greatest number of biking outfits Juan can buy with the money left over is 6.

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Answer:

1309 marbles

Step-by-step explanation:

All together:

Answer:

KI = 4.47

IT = 6.32

Step-by-step explanation:

KI

2²+4² = 4+16 = 20

The square root of 20 is 4.47

IT

2²+6² = 4 + 36 = 40

The square root of 40 is 6.32

Answer:

27 cm²

Step-by-step explanation:

Refer to the attachment for visual reference.

First, divide into each rectangles or squares.

Then find the areas individually.

After that, combine all areas and that is the area of figure.

Area of Rectangle

A = width * length (Keep in mind that width is always less than length.)

Area of Square

A = side * side

Unit for area is cm² because we are finding area which is two dimensional.

Answer:

A) $547 + 140($1.50 - $0.59)=x

Step-by-step explanation:

you would have $547 dollars to start them you would multiply 140 by the amount you sell the bars for subtracted by the amount you paid for them because you dont get to keep that money

Then the probability of a sample being chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 will be 0.1632.

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The proportions of multiple samples of registered voters who vote are normally distributed, with a mean proportion of 0.38 and a standard deviation of 0.0485.

The z-score is given as

[tex]z = \dfrac{x - \mu}{\sigma}[/tex]

Then the probability of a sample is chosen at random has a proportion of registered voters who vote between 0.37 and 0.39 will be

For x = 0.37, then we have

[tex]z = \dfrac{0.37 - 0.38}{0.0485} \approx -0.206[/tex]

For x = 0.39, then we have

[tex]z = \dfrac{0.39- 0.38}{0.0485} \approx 0.206[/tex]

Then the probability will be

[tex]\rm P(0.37 < x < 0.39) = P(-0.206 < z < 0.206)\\\\ P(0.37 < x < 0.39) =0.58160 - 0.41839 \\\\P(0.37 < x < 0.39) =0.1632[/tex]

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Answer:

B. 17%

Step-by-step explanation:

Got it from a quizlet with very many five star reviews

Answer:

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

24/5

Decimal Form:

4.8

Mixed Number Form:

4 4/5

Answer:

5 km.

Step-by-step explanation:

Surface area is lw + hw + lh.

(1 x 1)+(1 x 2)+(1 x 2)

1 + 2 + 2

1 + 4

5 km.

Answer:

the difference is 0

Step-by-step explanation:

[tex]\large \text Mean =\frac{3+8+10+15}{4} = 9[/tex]

[tex]\large \text{Median} =\frac{8+10}{2} =9[/tex]

the difference = 9 - 9 = 0

The equation 4x + 8 = -2 - 2 + 5x has one solution

The equation is given as:

4x + 8 = -2 - 2 + 5x

Collect like terms

4x - 5x = -2 - 2 - 8

Evaluate the like terms

-x = -12

Divide both sides by -1

x = 12

The above means that the equation 4x + 8 = -2 - 2 + 5x has one solution

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Answer:

it does have one solution

Step-by-step explanation:

Answer:

82cm

Step-by-step explanation:

ihope it helps thanks

Each function out of the given 4 functions has a horizontal asymptote.

An asymptote is a straight line that continually approaches a given curve but does not meet it at any finite distance.

Mathematically, if y=k is a horizontal asymptote for a function x=f(y) the limiting value of the function is infinity as y→k.

Out of the given curves, for every curve limiting value of the function tends to infinity as y→0

So, each function out of the given 4 functions has a horizontal asymptote.

Therefore, each function out of the given 4 functions has a horizontal asymptote.

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Answer:

All of them

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Let brother's age = x

Ben age = 2x

2x+x =81

3x =81

x =27

Ben's brother's = 27

Answer: X = 10.20240940...

Step-by-step explanation:

x(2x + 9) = 2x^2 + 9x

2x^2 + 9x = 300

- 300 ON BOTH SIDES

2x^2 + 9x - 300 = 0

SOLVE USING THE QUADRATIC FORMULA

x = -b +/- all root (b)^2 - 4(a)(c) All over 2(a)

When all the values are plugged in:

When using "+" in the equation you should get:

x = 10.20240940…

When using "-" in the equation you should get:

x = −14.70240940…

Now.. you CANNOT have a negative length, so you cross of the negative value leaving you one value for x which is 10.20240940...

YOUR ANSWER IS:    x   =  10.20240940...

Answer: Angle A = 120 degrees.

Step-by-step explanation:

Answer:

50 degrees sorry if wrong

Step-by-step explanation:

Answer:

Hope the picture will help you.

Step-by-step explanation:

a geometric sequence means that every term is created by multiplying the previous term by a certain constant factor. this factor is called the "common ratio".

so,

6×r = 18

r = 18/6 = 3

and a quick check tells us this works also for the next terms (18×3 = 54, 54×3 = 162), so it is indeed a geometric sequence with common ratio 3.

a0 = 6

a1 = a0 × 3 = 6×3 = 18

a2 = a1 × 3 = a0 × 3×3 = 6×3² = 54

an = a0 × 3^n = 6 × 3^n

so,

f(x) = 6×3^x, x is integer, x >=0

Answer:

Step-by-step explanation:

The graph is generally increasing.  Thus, as the weight increases, the cost increases with it.

Answer:

5 more feet

Step-by-step explanation:

iff you add 5 more feet to 12 ft., you'll get 17 ft., and you can multiply that by 7 to get 119

Answer:

x + 27y - 52 = 0.

Step-by-step explanation:

The slope of the line = (y2-y1)/(x2-x1)

= (1-2)/(25- (-2))

= -1/27

Using the point slope form of a straight line:

y - 2 = -1/27(x- (-2))

y - 2 = -1/27x - 2/27

y = -1/27x  - 2/27 + 54/27

y = -1/27x + 52/27

Multiply through by 27:

27y = -x + 52

x + 27y - 52 = 0   <------- Standard form.

b=-3

The equation, -11b + 7 = 40, can be solved using the properties of equality.

Solving For b

First, subtract 7 from both sides

Then, divide both sides by -11

Checking the Answer

We can check our answer by plugging the answer back into the original equation.

First, rewrite the equation with the answer

Next, multiply out the terms

Then, add together like terms

Because this is a true statement, the answer must be correct.

Answer:

1200

Step-by-step explanation:

buckets can hold 300 ponds so 0.25 divided by 300

13/1 × 5/8 - 3/1 × 2/3

= 13×5 / 1×8 - 3×2 / 1×3

= 65/8 - 6/3

= 195/24 - 48/24

=147/24

=49/8

The area of the hexagon and pentagon area 779.4cm^2 and 84.303cm^2 respectively.

Data;

The area of a hexagon with apothem 15 can be calculated by first finding the length of the side of the hexagon.

Length of hexagon can be found using trigonometric ratio;

[tex]a = x\sqrt{3}[/tex]

Making x the subject of formula

[tex]x = \frac{a}{\sqrt{3} }\\x = \frac{15}{\sqrt{3} }\\x = 8.660[/tex]

And then the length of the side is 2x

[tex]s = 2 * 8660 = 17.32[/tex]

The perimeter of the hexagon is;

[tex]p = 6s \\p = 6 * 17.32=103.92[/tex]

And the area is given as

[tex]A = \frac{1}{2} * perimeter * apothem\\A = \frac{1}{2} * 103.92 * 15\\A = 779.4unit^2[/tex]

The area of the hexagon is 779.4 squared unit.

The area of the pentagon can be found using several methods, but we can simply find the angle between the sides if we divide the pentagon into 10 pieces and then substitute the formula.

Total area of a pentagon is 360 degree.

[tex]\theta = \frac{360}{10} = 36^0\\[/tex]

The area of a pentagon is given as

[tex]A = \frac{5s^2}{4 tan \theta} \\A = \frac{5 * 7^2}{4* tan36} \\A = 84.303cm^2[/tex]

The area of the pentagon is 84.303cm^2

From the calculations above, the area of the hexagon and pentagon area 779.4cm^2 and 84.303cm^2 respectively

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