What is the slope of the line?​

The day the two bags will have the same weight is the 24th day.

The linear equation that can be used to determine the pound of dog food left is:

Amount of dog food left = capacity of the bag - (number of days x amount the dog eats per day)

Amount of dog food left = 34 - (1 x p)

Amount of dog food left = 34 - 1p

The linear equation that can be used to determine the pound of cat food left is:

Amount of cat food left = capacity of the bag - (number of days x amount the cat eats per day)

Amount of cat food left = 16 - (1/4 x p)

Amount of cat food left = 16 - 1/4p

On the day the two bags will have the same weight, the two above equations would be equal:

16 - 1/4p = 34 - 1p

p - 1/4p = 34 - 16

3/4p = 18

p = (18 x 4) / 3

p = 24 days

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The measure of the angle formed by the rays, when a circle is centered at its vertex and the rays subtend an arc measuring 78.03 cm, is approximately 385.29 degrees.

Let's break down the problem step by step to find the measure of the angle.

The circumference of a circle is the distance around its outer boundary. We are given that 1/360th of the circumference is 0.51 cm. This implies that the entire circumference of the circle is 360 times this value, as there are 360 equal parts in a full circle.

Circumference of the Circle = 360 * 0.51 cm = 183.6 cm

We are also given that the arc created by the angle measures 78.03 cm. This arc is a part of the circumference of the circle. To determine the measure of the angle, we need to find what fraction of the entire circumference the arc represents.

Fraction of the Circumference represented by the Arc = Arc Length / Circumference of the Circle

Fraction of the Circumference represented by the Arc = 78.03 cm / 183.6 cm

To find the angle measure, we need to convert the fraction of the circumference represented by the arc into degrees. A full circle measures 360 degrees. Therefore, the angle formed by the arc will be a fraction of 360 degrees.

Angle Measure = Fraction of the Circumference represented by the Arc * 360 degrees

Substituting the calculated fraction from step 2:

Angle Measure = (78.03 cm / 183.6 cm) * 360 degrees

Simplifying the expression:

Angle Measure = 1.069 * 360 degrees

Angle Measure ≈ 385.29 degrees

Therefore, the measure of the angle formed by the rays is approximately 385.29 degrees.

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Use the regression equation for predictions only if the graph of the regression line on the scatterplot confirms that the regression line fits the points reasonably well. Therefore, the correct answers are options A, B and D.

For each participant in many research, we measure more than one variable. For instance, we track rainfall and plant growth, the quantity of eggs and nesting environment, the number of young, and soil erosion and water volume. Instead of analysing each variable independently (univariate data), we collect pairs of data and try to come up with ways to characterize bivariate data, which involves measuring two variables on each individual in our sample. We start by looking for a correlation between these two variables using the data at hand.

Numerous different kinds of associations between two variables can be found using a scatterplot.

Therefore, the correct answers are options A, B and D.

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The monthly payment on a bank loan would be $360.56, which is lower than the monthly credit card payment.

What is the monthly payment under simple interest?

The total interest on the simple interest basis can be determined as the cost of the home improvement multiplied by the annual simple interest rate and also multiplied by the number of years

I=PRT

I=interest for 3 years=unknown

P=principal=$11,000

R=simple interest rate=6%

T=number of years=3

I=$11000*6%*3

I=$1980

There are 12 months multiplied by 3 years

monthly payment=($11,000+$1,980)/(3*12)

monthly payment=$360.56

Monthly compounding option:

PV=PMT*(1-(1+r)^-N/r

PV=loan amount=$11,000

PMT=monthly payment=unknown

r=monthly interest rate=16%/12=0.0133333333333333

N=number of monthly payments in 6 years=12*6=72

$11,000=PMT*(1-(1+0.0133333333333333)^-72/0.0133333333333333

PMT=$238.61

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Answer:

The final amount  if 784 is decreased by 1% followed by a 4% increase is 807.52.

Step-by-step explanation:

General Formula

A way to solve this problem is as follows:

The general formula for this is taking into account that:

\( \\ percent\;change = \frac{change}{starting\;point}\)

The starting point is number 784.

The most important key is the solution for this answer is that:

\( \\ change = starting\;point - x\)

Where x is a number that we need to find. Then

\( \\ percent\;change = \frac{starting\;point - x}{starting\;point}\) [1]

Is 784 increased or decreased after all?

We also need to evaluate the following: if a quantity decreases a percentage, and then increases in another percentage, what is the final percentage? In this case, we have first that 784 decreases by 1% and then increases by 4%. As a result 784 will +4% - 1% = +3%, that is, 784 will increase in 3%.

Finding the result

If 784 increases by 3%, we have:

\( \\ 3\% = \frac{784 - x}{784}\)

Which is equal to

\( \\ 0.03 = \frac{784 - x}{784}\)

Solving for x, we first multiply by 784 to both sides of the previous formula:

\( \\ 0.03 * 784 = \frac{784 - x}{784}*784\)

\( \\ 0.03 * 784 = (784 - x)*\frac{784}{784}\)

\( \\ 0.03 * 784 = (784 - x)*1\)

\( \\ 0.03 * 784 = (784 - x)\)

Remember that if we add, subtract, multiply, divide... to both sides of the equation, we do not "alter" this equation.

Subtracting 784 to both sides:

\( \\ (0.03 * 784) - 784 = (784 - 784 - x)\)

\( \\ (0.03 * 784) - 784 = (0 - x)\)

\( \\ (0.03 * 784) - 784 = - x\)

\( \\ 23.52 - 784 = - x\)

\( \\ -760.48 = - x\)

Multiplying by -1 to both sides:

\( \\ -1 * (-760.48) = -1 * (-x)\)

We have to remember that:

\( \\ +*+ = +; - * - = +; - * + = -; + * - = -\)

\( \\ 760.48 = x\)

Then

\( \\ x = 760.48\)

Therefore, using formula [1], an increase of 3% is

\( \\ 3\% = \frac{784 - 760.48}{784}\)

\( \\ change = 784 - 760.48\)

\( \\ change = 23.52\)

Since an increase of 3% is 23.52, we have to add this to the starting point 784, and finally the amount is 784 + 23.52 = 807.52.

As a result, the final amount if 784 is decreased by 1% followed by a 4% increase is 807.52.  

In a more terse way of solving this problem, we can say that:

Increase of 4% = 784 * 0.04 = 31.36.

Decrease of 1% = 784 * 0.01 = 7.84.

Difference = 31.36 - 7.84 = 23.52.

Then, we need to add this value to 784, and 784 + 23.52 = 807.52 (the same result).

Answer:

I believe the slope is -6

Step-by-step explanation:

You rearrange the equation to get y by itself

y = 60-6x

then you put the equation in slope intercept form

y = -6x+60

meaning -6 (m) is the slope

Answer:

\(\boxed{\frac{9}{25} }\)

Step-by-step explanation:

\(9 \div 10 \times 8 \div 20\)

\(\frac{\frac{9}{10}(8) }{20}\)

\(= \frac{\frac{35}{5} }{20}\)

\(= \frac{9}{25}\)

Hope this helped you!

● Answer:

9/25

● Step-by-step explanation:

Attachment

Answer:

-19.68

-1/10x+8/5

25 1/3

-50

22.75

Step-by-step explanation:

Answer:

6) 22.75gallons

7) -50feets

8) 25⅓ inches

9)2/5

10) -19.68

Answer:

if it is the area your talking about, but if it is the perimeter its 54

Step-by-step explanation:

Answer:

A. (0, 1)

B. (10, 4)

C. (7, 7)

D. (5, 10)

Step-by-step explanation:

When changing coordinates over the y-axis, use the formula (x, y) = (-x, y)

Answer:

Step-by-step explanation:

ISSA PARADE INSIDE MY CITY YEAHHHHH

\(\\ \tt\hookrightarrow w(x)=4x+4=4(x+1)\)

Now

\(\\ \tt\hookrightarrow w(x+4)=4(x+4+1)\)

\(\\ \tt\hookrightarrow w(x+4)=4(x+5)\)

\(\\ \tt\hookrightarrow w(x+4)=4x+20\)

Answer:

696 cm because

Alice is 55 km from her starting point after walking a distance of 55 km along the perimeter of the park.

To find the distance Alice is from her starting point after walking along the perimeter of the park, we can use the concept of congruent sides in a regular hexagon.

The perimeter of a regular hexagon is equal to the sum of its six congruent sides. Given that each side of the hexagon is 22 km long, the total perimeter of the hexagon is 6 * 22 km = 132 km.

Since Alice walks a distance of 55 km along the perimeter of the park, we can determine the number of complete laps she makes around the hexagon by dividing the distance she walked by the perimeter of the hexagon: 55 km / 132 km = 0.4167 laps.

As Alice starts and ends at a corner of the hexagon, each complete lap brings her back to the same corner. Therefore, the fractional part of the number of laps represents the portion of the hexagon's perimeter she has traveled beyond the starting corner.

To find the remaining distance from Alice's current position to the starting point, we calculate the fractional part of the number of laps and multiply it by the perimeter of the hexagon: 0.4167 * 132 km = 55 km.

A regular hexagon is a polygon with six congruent sides. In this problem, the regular hexagon represents the shape of the park, and each side of the hexagon has a length of 22 km. The perimeter of the hexagon is found by multiplying the length of one side by the number of sides, which is 6. Therefore, the perimeter of the hexagon is 6 * 22 km = 132 km.

When Alice walks along the perimeter of the park for a distance of 55 km, we need to determine how many complete laps she makes around the hexagon. By dividing the distance she walked by the perimeter of the hexagon, we find that she completes approximately 0.4167 laps.

Since Alice starts and ends at a corner of the hexagon, each complete lap brings her back to the same corner. Therefore, the fractional part of the number of laps represents the portion of the hexagon's perimeter she has traveled beyond the starting corner.

In this case, multiplying 0.4167 by 132 km gives us a result of approximately 55 km. Therefore, Alice is 55 km from her starting point after walking a distance of 55 km along the perimeter of the park.

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7,9,11,13,15

First, find the common difference (d)

9-7 = 11-9 = 13-11 = 15-13 = 2

d= 11

a1 = first term = 7

apply the formula:

an = a1 + (n-1) d

an = 7 + (n-1) 2

an = 7 + 2n-2

an = 2n + 5

Answer: The slope is infinite

Step-by-step explanation:

An infinite slope is simply a vertical line. When you plot it on a line graph, an infinite slope is any line which runs parallel to the y-axis. You can also describe this as any line that doesn't move along the x-axis but stays fixed at one constant x-axis coordinate, making the change along the x-axis.

The point closest to -

A plane is a two-dimensional flat surface that can extend indefinitely. A plane would be the two-dimensional equivalent of a point with zero dimensions, a line with one dimension, and three-dimensional space.

         ax+by+cz+d=0,

         where minimum one number out of a, b, and c must be non-zero.

Now, as per the question;

A point (x, y, zdistance )'s from the yz plane is equal to |x|.

As a result, for small |x|, the point would be closest to the yz plane.

C does have the smallest among A, B, and C that is |x| = 2.

Thus, c point is closest to yz-plane.

If the point is in the xz-plane, after which y equals 0.

Only A has a y value of zero.

As a result, A is in the xz-plane.

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The system of equations solved by the elimination method gives (-2, 1)

From the question, we have the following parameters that can be used in our computation:

y = -4x + 11

y = 1/2x + 2

Subtract the equations to eliminate y

So, we have the following representation

-4 1/2x - 9 = 0

So, we have

-4 1/2x = 9

Divide the equations

x = -2

Recall that

y = 1/2x + 2

So, we have

y = 1/2(-2) + 2

This gives

y = 1

Hence, the solutions are x = 2 and y = 1

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Answer:

Step-by-step explanation:

15/3 = x/4

if you multiply you get 3x= 4*15.

4 times 15 is 60, then divide by 3 to get 20

Arun can walk 20 km in 4 hours.

Answer:

20 km.

Step-by-step explanation:

First, divide 15 by 3 to find out how many kilometers Arun can walk in a single hour.

15/3=5

To find out how far he can walk in 4 hours, multiply 4 by the number of kilometers he can walk in an hour, which is 5.

4x5=20

Therefore, Arun can walk 20 km in 4 hours.

Hope this helps you out and have a great day (^人^)

We have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

To apply the Intermediate Value Theorem to the polynomial function f(x) = x^3 - x - 4 and show that it has a real zero between the integers 1 and 7, we need to verify that f(1) and f(7) have opposite signs.

Let's evaluate f(1) and f(7) to determine their signs:

f(1) = (1)^3 - (1) - 4 = 1 - 1 - 4 = -4

f(7) = (7)^3 - (7) - 4 = 343 - 7 - 4 = 332

From the calculations, we can see that f(1) = -4 and f(7) = 332.

Since f(1) is negative (-4) and f(7) is positive (332), they have opposite signs.

According to the Intermediate Value Theorem, if a continuous function changes sign between two points, then it must have at least one real zero between those points.

Since f(1) = -4 (negative) and f(7) = 332 (positive), the polynomial function f(x) = x^3 - x - 4 must have a real zero between the integers 1 and 7.

Therefore, we have demonstrated using the Intermediate Value Theorem that the polynomial function has a real zero between 1 and 7.

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Answer:

I think it is 0.5

Step-by-step explanation:

32²×8²×16² = 16777216

64²×4³×128 = 33554432

16777216 ÷ 33554432= 0.5

Answer:

1. 48 sticks, 49 dots

2. 60 sticks, 61 dots

3. figure 13, 157 dots

Step-by-step explanation:

The pattern increases by 12 sticks each time. The number of dots is equal to the number of lines plus 1. An easy way to figure it out is to multiply the figure number by 12 to find the number of lines and then add one more for the number of dots. To solve 3, divide the number of sticks by 12 to find the figure number, and add one to the number of sticks to get the number of dots.

S satisfies all the conditions, we can conclude that S is a subspace of C(−[infinity],[infinity]).

To check if the subset of C(−[infinity],[infinity]) is a subspace, we need to verify the following:

The subset is non-empty.

Closure under addition: If f(x) and g(x) are in the subset, then so is (f+g)(x).

Closure under scalar multiplication: If f(x) is in the subset and c is any scalar, then so is (cf)(x).

Let S be the set of all constant functions in C(−[infinity],[infinity]), i.e., functions of the form f(x) = a, where a is a constant.

Non-emptiness: Since any constant function is still a function, S is non-empty.

Closure under addition: Let f(x) = a and g(x) = b be any two constant functions in S. Then (f+g)(x) = f(x) + g(x) = a + b, which is also a constant function. Therefore, S is closed under addition.

Closure under scalar multiplication: Let f(x) = a be any constant function in S, and let c be any scalar. Then (cf)(x) = c(a) = ca, which is also a constant function. Therefore, S is closed under scalar multiplication.

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Answer:

1. 46

2. 4, 34

3. 54, 79

4. 19, 91

Answer:

4) 2xy(x^2-2x-8)  2xy(x-4) (x+2)

5) 3(x^2-9x-10   3(x+1) (x-10)

Step-by-step explanation:

Answer:

1 2 1 2 3 4 5

Step-by-step explanation:

All whole numbers are not negative, decimals, or fractions.

Answer: 31 push-ups per day

Step-by-step explanation: 93/3 = 31 because 90/3=30 and 3/3 = 1 so 30 + 1 = 31.

Hope this helps!

As the diagram is not drawn to scale, we need to use the given dimensions to find the volume of the oblique cone. The formula for the volume of a cone is given by V = (1/3)πr^2h, where r is the radius of the base and h is the height.

From the diagram, we can see that the height of the oblique cone is 12 inches. To find the radius, we need to use the Pythagorean theorem. The hypotenuse of the right triangle (base of the cone) is 10 inches, and the vertical height of the triangle (slant height of the cone) is 8 inches. Substituting the values of r and h in the formula, we get V = (1/3)π(6^2)(12) ≈ 452.0 in^3. Rounding to the nearest tenth, the answer is (c) 2,269.8 in^3.

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Answer:

Step-by-step explanation:

         |x+3| = 12    

x+3 = 12   or   x+3 = -12

x = 9        or    x = -15