The fastest recorded Hawaiian lava flow moved at an average speed of 6 miles per hour. The function y=6x describes the distance y the lava moved on average in x hours. Graph the function. Use the graph to estimate how many miles is lava moved after 4.5 hours.

The change in height from the starting platform to the stopping point of the roller coaster is 40.75 feet above the ground.

To determine the change in height from where the friends started on the platform to where they stop, we need to calculate the total distance the car traveled vertically. The car first ascends 80 and one half feet and then descends 50 and one fourth feet. The starting platform is 10 and one half feet above the ground.

First, we add the height of the platform to the initial ascent:

Next, we subtract the descent:

The change in height is the final position above the ground minus the starting position, yielding a total change in height of 40.75 feet.

Domain: {-10, -5, 0, 5}

Range: {-7, -4, -1, 2}

you just find the x and y values of the plotted points my friend!! make sure they're in order from least to greatest

Final answer:

0.8 divided by 0.6 is 1.33333... which, when rounded to the nearest hundredth, is 1.33. The rounding should be done to the nearest hundredth as 'rounding to the nearest hundred' typically does not apply to decimals.

Explanation:

To calculate 0.8 divided by 0.6, we simply perform the division:

0.8 ÷ 0.6 = 1.33333...

When we round this to the nearest hundredth, we look at the third decimal place. Since it's 3, we do not round up the second decimal place. Thus, 1.33333... rounded to the nearest hundredth is 1.33.

Rounding numbers and understanding division are fundamental skills in mathematics. They are essential for various applications, such as converting fractions to percentages or when dealing with metrics and customary units.

However, the question asked to round to the nearest hundred, which seems to be a typographical mistake, because we usually round numbers to the nearest hundredth or to the nearest hundred as a whole number, but not to the nearest hundred as a decimal. Assuming it's a typo and meant the hundredth, the result is 1.33. Otherwise, 1.33 rounded to the nearest hundred as a whole number is simply 100 (since this is the closest hundred to 1.33).

The equation representing a linear function with a slope of 4 / 5 and a y-intercept of -6 is y = 4 / 5 x - 6.

The equation of a linear function can be written in the form:

y = 4 / 5 x + b

where "m" represents the slope of the line, and "b" represents the y-intercept (the value of y when x is 0).

Given that the slope is 4/5 and the y-intercept is -6, the equation would be:

y = 4 / 5 x - 6

So, the equation representing a linear function with a slope of 4.5 and a y-intercept of -6 is y = 4.5x - 6.

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Complete question is :

Which equation represents a linear function that has a slope of 4/5 and a y-intercept of –6?

Daniela, Casey, Hope.

Solve by making each a ratio.  Daniela - 0.0495, Casey - 0.050, Hope - 0.052

find the mean of each of the scores. To do so, divide the total with the amount of games.

Daniela = 101/5

D = 20.2 per game

Casey = 154/8

C = 19.25 per game

Hope = 227/12

H = 18.92 per game

You are ordering each of them from least to greatest:

Hope, Casey, Daniela is your answer, with 18.92, 19.25, 20.20 respectively.

hope this helps

(0,1) I hope that helped                                                                    

The only time that f(x) will equal g(x) occurs at x = 0.

You do what you did in your head if you know the answer is 65 and it's not on the paper.

If your friend answered it for you then sorry I can't help cause I'm horrible at word problems.

Final answer:

To use the distributive property to write an expression equivalent to 5×(3+4), distribute the 5 to both the 3 and the 4 and simplify.

Explanation:

To use the distributive property to write an expression equivalent to 5×(3+4), we need to distribute the 5 to both the 3 and the 4. This means we need to multiply 5 by each number inside the parentheses:

5 × 3 = 15

5 × 4 = 20

So, the expression equivalent to 5×(3+4) is 15 + 20, which simplifies to 35.

2p² - p - 10 = 0

2 = a

- 1 = b

- 10 = c

To factor, find two numbers that multiply to equal a·c and also that have a sum of b

2p² + 4p - 5p - 10 = 0

2p (p + 2) - 5 (p + 2) = 0

To earn his desired $5000, Chip must sell 50 products per month. Firstly, his desired income minus his base salary is calculated this gives the additional income needed from products ($4500). Dividing this by the amount per product, gives the number of product sales needed (50).

Chip earns a basic salary of $500 per month. His goal is to earn $5000. The additional income he earns comes from selling products at $90 each. If he wants to reach his goal, we need to first subtract his base salary from his goal income.

$5000 - $500 = $4500

This means that he needs to earn $4500 from selling products. We then divide this by the amount he makes per product to find the number of products he needs to sell.

$4500 / $90 = 50

So, Chip needs to sell 50 products in order to meet his income goal of $5000 per month.

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As per your defention, horses are the only thing considered "not small".  To find the percentage, you take the number of what you are trying to find the percentage of divided by the total number.

So, 7 dogs + 13 cats + 3 ferrets = 23 Small animals

7 dogs + 13 cats + 3 ferrets + 4 horses = 27 total animals.

So,

[tex]\frac{23}{27}*100[/tex]

The reason we multiply by 100 is because the division gives us a decimal, and a percentage is a part out of 100.

So by doing the calculation we get

85.18%

Mathematics defines a percentage as a number or ratio expressed as fraction of 100.

It is denoted using % sign.

General formula to calculate percentage is:

                                   [tex]\rm Percentage=\dfrac{\rm Value}{\rm Total\: value} \times 100%.[/tex]

For the given question, percentage of small animals is [tex]\rm 85.19\%.[/tex]

[tex]\begin{aligned} \rm Total\: animals &= 7 + 13 + 4 + 3\\&= 27 \end[/tex]

[tex]\begin{aligned} \rm Number\:of\:small\:animals &= 7 + 13 + 3\\&= 23\end[/tex]

Small animals includes all animals except horses.

Therefore, percentage of small animals will be:

         [tex]\rm \begin{aligned}\rm Percentage &= \dfrac{\rm Small \:animals}{\rm Total\:animals} \times 100\\\\ &= \dfrac{23}{27} \times 100\\\\ &= 85.19\% \end{aligned}[/tex]

Percentage of patients to be small animals is [tex]\rm 85.19\%[/tex].

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First, we need to solve the equation 4x+5y=7 to make it slope intercept form and find the slope of the line, because parallel lines have the same slope.

4x+5y=7

Subtract 4x from both sides.

5y=-4x+7

Divide both sides by 5.

y=-4/5x+7/5

The slope of the line is -4/5x. Plug that in to the blank slope intercept form equation, y=mx+b, with m being the slope and b being the y-intercept.

y=-4/5x+b

Now, we need to solve for the y-intercept. We can do this by plugging in the given coordinates (4,-3) into the above equation for x and y respectively:

-3=-4/5(4)+b

-3=-16/5+b

Add -16/5 to both sides.

1/5=b

The y-intercept is 1/5, plug this into the equation:

[tex]y=-\frac{4}{5}x+\frac{1}{5}[/tex]

Your equation is the above equation.

I hope this helps :)

Final answer:

To find the slope-intercept form of a line parallel to 4x + 5y = 7 and passing through (4, -3), first find the slope of the given line, then use the point-slope form with the given point to derive the final slope-intercept form, which is y = (-4/5)x + 1/5.

Explanation:

The student is asking for the slope-intercept equation of a line parallel to another line. Since parallel lines have the same slope, we first need to find the slope of the given line, 4x + 5y = 7. To do this, we solve for y to get it into the slope-intercept form, y = mx + b, where m is the slope.

To convert 4x + 5y = 7 into slope-intercept form, we subtract 4x from both sides to get 5y = -4x + 7, and then divide by 5, resulting in y = (-4/5)x + 7/5. The slope of this line is -4/5. Hence, our new line must have the same slope of -4/5 to be parallel.

We use the point-slope form of the equation, which is y - y1 = m(x - x1), to get the equation of the line passing through the point (4, -3). Plugging in the values, we have y - (-3) = (-4/5)(x - 4), which simplifies to y + 3 = (-4/5)x + 16/5. To get the slope-intercept form, we subtract 3 from each side and get y = (-4/5)x + 16/5 - 15/5, leading to y = (-4/5)x + 1/5.

If the scale is 1 inch to 3 feet, and the wall is 9 inches, then our equation would be:

9 x 3 = L    9 x 3 = 27     So, L = 27!

1 in to 3 is times 3. So 9 times 3 is 27. L=27

Answer:   " 874.33 °  " .

___________________________________

Step-by-step explanation:

15.26 rad * ( 180 degree / [tex]\pi[/tex]  rad )  ;

          =  [ (15.26 * 180) / [tex]\pi[/tex] ]  degrees ;

          =  [ ( 2746.8 ) / [tex]\pi[/tex]  ] degrees.

          =  [ ( 2746.8) / 3.14) ]  degrees  ;

          =  874.3336 degrees;

          →  round to:  " 874.33 degrees ."

____________________________________

Final answer:

To find the degree measure of radian 15.26, multiply 15.26 by 57.3, resulting in 874.798 degrees.

Explanation:

To convert radians to degrees, you can use the conversion factor: 1 radian = 57.3 degrees.

Given that 15.26 radians is the measure:

Multiply 15.26 by 57.3 to get the degree measure.

15.26 radians * 57.3 degrees/radian = 874.798 degrees

Answer:

3.2 cm on the map (in centimeters) represents an actual distance of 4 km

Step-by-step explanation:

The scale of a map says 4cm represents 5km

We are supposed to find  what distance on the map (in centimeters) represents an actual distance of 4 km

5 km = 4 cm

1 km = [tex]\frac{4}{5} cm[/tex]

4 km = [tex]\frac{4}{5} \times 4 cm[/tex]

4 km = [tex]3.2 cm[/tex]

Hence 3.2 cm on the map (in centimeters) represents an actual distance of 4 km

The decimal equivalent of the mixed number, '9 and 11/27', is found by first converting the fraction into a decimal, followed by adding it to the whole number part. The answer is 9.4074.

To find the decimal equivalent of a mixed number like 9 and 11/27, we first need to convert the fractional part into the decimal form. We do this by dividing the numerator (11) by the denominator (27).

The fraction 11/27, when written in decimal form, is approximately 0.4074

Then, the decimal equivalent of the mixed number '9 and 11/27' is found by adding this decimal (0.4074) to the whole number part (9). Hence, the answer is 9.4074.

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co= same         planar = plane

coplanar means "same plane"

Answer: D

the vertex of the quadratic function

[tex]f(x)= \frac{1}{2}x^2+3x+\frac{3}{2}[/tex]

To find vertex we use formula x= -b/2a

from the given equation , a= 1/2  and b = 3

Now we plug in the values in the formula

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

[tex]x= \frac{-3}{2\frac{1}{2}}=-3[/tex]

x coordinate of vertex is -3

Now plug in -3 for x  in f(x)

[tex]f(-3)= \frac{1}{2}(-3)^2+3(-3)+\frac{3}{2}[/tex]

f(-3) = -3

the y coordinate of vertex is -3

So vertex is (-3,-3)

Answer:

(-3, -3)

Step-by-step explanation:

The standard form of a quadratic equation is [tex]y = ax^2+bx+c[/tex] where the coordinates of the highest point (x, y) indicate the vertex.

Here, [tex]a= \frac{1}{2} , b = 3[/tex] and  [tex]c= \frac{3}{2}[/tex].

We know the formula to find the x coordinate = [tex]\frac{-b}{2a}[/tex]

[tex]x= \frac{-3}{2(\frac{1}{2}) }[/tex] = [tex]-3[/tex]

To find y, put this value of x in the function to get:

[tex]y = \frac{1}{2} x^2+3x+\frac{3}{2}[/tex]

[tex]y = \frac{1}{2} (-3)^2+3(-3)+\frac{3}{2}[/tex]

[tex]y = -3[/tex]

Therefore, the vertex (x, y) = (-3, -3)

To find the price per pound, simply add 0.65 + 0.75 then divide.

0.65 + 0.75 = 1.40    13.65 / 1.40 = 9.75

Danny paid $9.75 per pound!

Lets go through the steps

1) Add the weights together which gives us 1.4 lb

2) Divide the cost by the weight 13.65/1.4 = $9.75 lb

For the interval (-∞, 1), put x = 0.5, then y = - 0.5 + 3 = 2.5.

Therefore, (0.5, 2.5) is a point on y = -x + 3.

Put x = - 1, then y = -(-1) + 3 = 1 + 3 = 4.

Therefore, (-1, 4) is another point on y = -x + 3.

Joining (0.5, 2.5) and (-1, 4), we get the graph of the line y = -x + 3.

For the interval [1, ∞), put x = 1, then y = 2(1) - 4 = -2.

Therefore, (1, -2) is a point on y = 2x - 4.

Put x = 2, then y = 2(2) - 4 = 4 - 4 = 0.

Therefore, (2, 0) is another point on y = 2x - 4.

Joining (1, -2) and (2, 0), we get the graph of the line y = 2x - 4.

The graph of the piecewise-defined function is: [tex]function \(y = \begin{cases} 3 & \text{if } x < -2 \\ 0 & \text{if } x = 1 \\ -1 & \text{if } x > 1 \end{cases}\)[/tex]is attached accordingly.

A piecewise-defined function is a mathematical function that is defined by different rules or formulas over different intervals or regions of its domain.

The graph of the piecewise function is attached accordingly.

The graph of the piecewise function [tex]\(y\)[/tex] consists of two linear segments with a clear transition at [tex]\(x = 1\)[/tex]:

1. For [tex]\(x < 1\)[/tex], the equation [tex]\(y = -x + 3\)[/tex] defines a downward-sloping line that intersects the y-axis at [tex]\(y = 3\)[/tex].

2. For , the equation [tex]\(y = 2x - 4\)[/tex] defines an upward-sloping line that intersects the y-axis at [tex]\(y = -4\)[/tex].

These two segments meet at the point (1, -1), creating a kink in the graph. This piecewise function effectively combines two linear functions with different slopes, resulting in a non-continuous graph at [tex]\(x = 1\)[/tex].

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5 pounds= 3.75

12 pounds= x

5x= 12*3.75

5x=45

12 pounds costs $9

If "the sum of 3 and a number is 16" is given, we can rewrite it as an equation (note that "a number" refers to a variable, commonly x):

3 + x = 16

Now, simply use the Subtraction Property of Equality (subtract 3 from both sides):

3 + x - 3 = 16 - 3

x = 13

Therefore, the number, or x, is equal to 13.

Hope this short response helps! :)

Slope Formula: (y² - y¹) / (x² - x¹)

1 + 7 = 8

-1-1 = -2

8/2 = 4

-2/2 = 1

4/1 = -4

Your answer is B.

Hope this Helps!!

The slope-intercept form:

[tex]y=mx+b\\\\m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have (1, -7) and (-1, 1).

Substitute:

[tex]m=\dfrac{1-(-7)}{-1-1}=\dfrac{8}{2}=4[/tex]

Therefore we have

[tex]y=4x+b[/tex]

Substitute the coordinates of the first point to the equation of line:

[tex]-7=-4(1)+b[/tex]

Answer:

[tex]\dfrac{1+7}{-1-1}=-4;\ -7=-4(1)+b[/tex]

The northern hemisphere is experiencing spring at Point B.

Spring is one of the four seasons. It follows winter and is followed by summer. During the spring, in the northern regions of the Northern Hemisphere, the trees become much greener and many plants flower; gradually it gets warmer and the chance of frost decreases.

Astronomical spring starts in the Northern Hemisphere usually on March 20 and ends usually on June 21.

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Answer: point  b

Step-by-step explanation:

If you mean standard form its

.000000059

Answer:

r = y / (4π)  

37.68 = 4 x 3.14 x r  

37.68 = 12.56 r  

so r = 37.68 ÷ 12.56 = 3

Step-by-step explanation:

We want to solve the given equation for r.

We will get:

r = y/(4*π)

The equation for the total amount of  "y" tarn in inches is:

y = 4*π*r

Where π = 3.14159

And r is the radius of the soup can.

We want to solve the given equation for r, this means that we need to isolate r.

To do it, we just need to divide by 4*π in both sides, so we get:

y/(4*π) = 4*π*r/(4*π) = r

Then we got:

r = y/(4*π)

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Answer:

So the difference of ages 2 years ago is [tex]B[/tex] years.

Step-by-step explanation:

The difference of age between me and my brother will not change whether we go back in time or forward in time, it will always be the same difference as of now. In this case it is B years. To further prove this we can do a calculation as below,

If I am F years old and brother is [tex]B[/tex] years older, the age of my brother is,

Age of the brother = [tex]F+B[/tex]

Age of me 2 years ago = [tex]F-2[/tex]

Age of my brother 2 years ago  = [tex]F+B-2[/tex]

So the difference of ages 2 years ago can be calculated as,

Age of my brother 2 years ago - Age of me 2 years ago

=[tex]F+B-2[/tex] -  [tex]F-2[/tex]

=[tex]F+B-2-(F-2)[/tex]

=[tex]F+B-2-F+2[/tex]

=[tex]B[/tex]

Not sure exactly what your asking but the numerical form of that would be $322,907.

322,907

3=the hundred thousandth place which in this case is 3

2=the ten thousandth place which in this case is 2

2=the thousandth place which in this case is 2

9=the hundredth place which in this case is 9

0=the tenth place which in this case is 0

7=the ones place which in this case is 7

Hope this helps!

Hey there!

First, let's multiply each side of the equation by 3 to get rid of the fraction [tex]\frac{2}{3}[/tex].

9 + 2x = [tex]\frac{6}{5}[/tex]

Next we can multiply each side of the equation by 5 to get rid of the fraction [tex]\frac{6}{5}[/tex].

45 + 10x = 6

There's your answer!

Hope this helps!