A new bag of cat food weighs 18 pounds. At the end of each day, 0.5 pounds of food is removed to feed the cats. Find the 30th term, and explain what it represents.

the answer is b. to calculate 5% interest you multiply whatever by 0.05, this immediately eliminates any other answer

Answer: 747

Step-by-step explanation:

16x9+67x9

First multiply 16 and 9 which is equal to 144

144+67x9

now multiply 67 and 9 which is equal to 603

144+603

Now add 144 and 603 which is equal to 747

So the answer to 16x9+67x9 is 747

use PEMDAS

16 * 9 + 67 * 9 =

144 + 603 =

747

5 pounds= 3.75

12 pounds= x

5x= 12*3.75

5x=45

12 pounds costs $9

co= same         planar = plane

coplanar means "same plane"

Answer: D

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

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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ANSWER TO QUESTION 1.

We plot the points:

[tex]P(8,0)[/tex]

[tex]Q(6,2)[/tex]

and

[tex]R(-2,-4)[/tex]

We plot the image triangle also with the points,

[tex]P'(4,0)[/tex]

[tex]Q'(3,1)[/tex]

and

[tex]R(-1,-2)[/tex]

See graph in attachment.

ANSWER TO QUESTION 2.

The scale factor is the ratio of the image length to the object length.

[tex]Scale\: factor=\frac{|P'Q'|}{|PQ|}[/tex].

We need to use the distance formula to determine the two lengths.

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]|P'Q'|=\sqrt{(3-4)^2+(1-0)^2}[/tex]

[tex]|P'Q'|=\sqrt{(-1)^2+(1)^2}[/tex]

[tex]|P'Q'|=\sqrt{1+1}[/tex]

[tex]|P'Q'|=\sqrt{2}[/tex]

[tex]|PQ|=\sqrt{(6-8)^2+(2-0)^2}[/tex]

[tex]|PQ|=\sqrt{(-2)^2+(2)^2}[/tex]

[tex]|PQ|=\sqrt{4+4}[/tex]

[tex]|PQ|=\sqrt{8}[/tex]

[tex]|PQ|=2\sqrt{2}[/tex]

Therefore the scale factor of the dilation is

[tex]Scale\: factor=\frac{\sqrt{2}}{2\sqrt{2}}[/tex].

[tex]Scale\: factor=\frac{1}{2}[/tex].

ANSWER TO QUESTION 3

For a reflection in the y-axis we negate the x-coordinates. That means we are using the y-axis as our mirror line. The mapping is given as follows:

[tex]P'(4,0)\rightarrow P''(-4,0)[/tex]

[tex]Q'(3,1)\rightarrow Q''(-3,1)[/tex]

and

[tex]R(-1,-2)\rightarrow R''(1,-2)[/tex]

ANSWER TO QUESTION 4

We can see from the diagram that, PQR is bigger than P"Q"R".

The reason is that PQR was reduced by scale factor of half and then reflected in the y-axis to obtain P"Q"R".

Since dilation is not a rigid motion, the two triangles PQR and P''Q''R" are not equal in all respect, therefore they are not congruent.

Answer:

67.23

Step-by-step explanation:

Please refer to the attachment photo for explanation

Final answer:

The vertical distance between the bird and the fish is 67 2/9 feet.

Explanation:

To calculate the vertical distance between the bird and the fish, we need to add the distance the bird is flying above the sea to the distance the fish is swimming below the sea.

The bird is flying at a height of 43 5/9 feet above the sea, which can be converted to an improper fraction for easier calculation:

43 5/9 = (43×9 + 5)/9 = 392/9 feet

The fish is swimming at 23 2/3 feet below the surface of the sea, which also can be converted to an improper fraction:

23 2/3 = (23×3 + 2)/3 = 71/3 feet

To find the total distance, we add these two fractions:

To add these fractions, we need a common denominator. The lowest common denominator for 9 and 3 is 9.

When we convert the improper fraction back to a mixed number, we get:

So, the vertical distance between the bird and the fish is 67 2/9 feet.

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

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

If you mean standard form its

.000000059

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?

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!

Question 1:

Shop A trainers normal price= £85

[tex]\frac{1}{3}[/tex] is off so it becomes [tex]\frac{1}{3}\times85=28.33[/tex]

So price becomes: [tex]85-28.33=56.67[/tex]

Shop B trainers normal price= £80

30% is off so it becomes: [tex]\frac{30}{100}\times80=24[/tex]

So price becomes: [tex]80-24=56[/tex]

So, Shop B has cheaper trainers.

Question 2:

In a sale all items are reduced by = 30%

On the final day the sale price are reduced by = 20%

On the day before the last day of the sale, the price of the sofa was [tex]0.7\times290=203[/tex]

As given, on the last day of the sale, the price was again reduced to 80% of the price the day before, so price becomes: [tex]0.8\times203=162.40[/tex]

Hence the price was £162.40

There were 375 adult tickets sold.

This question involves a concept in basic algebra. Let's denote the number of adult tickets as A and the number student tickets as S. From the problem, we know that the total number of tickets sold is 676, so A+S=676. The problem also tells us that there were 74 fewer student tickets sold than adult tickets, so we know that S=A-74.

We can substitute the value of S from the second equation into the first equation which gives us A+(A-74)=676. By solving this equation we find that A=375, so there were 375 adult tickets sold.

Let's denote the number of adult tickets sold as x. Since there were 74 fewer student tickets sold, the number of student tickets sold is x - 74. The total number of tickets sold is the sum of the adult and student tickets, which is 676.

Therefore, we can write the equation:

x + (x - 74) = 676

Simplifying the equation:

2x - 74 = 676

Adding 74 to both sides:

2x = 750

Dividing by 2:

x = 375

So, 375 adult tickets were sold.

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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

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]

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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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

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.

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.

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!

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.

y = k / x² ( y varies inversely as the square of x )

y = 1/8 when x = 1:

1/8 = k / 1²

8 k = 1

k = 1/8

For x = 5:

y = 1/8  / 5² = 1/8 : 25 = 1/8 · 1/25 = 1/200

Answer: A ) 1/200

Hope This Helps!!!

Solution is given in image attached.

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.

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:

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

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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