After his experience with the candy bracelets Kermit really needed a hit. He decided that erasers that looked like pieces of fruit would be a sure-fire success. Unfortunately, they weren't, and he ended up having to first cut their price by 15% and then cut it by another 20% from there. After both price cuts, the erasers were selling for $0.68 each. What did each eraser sell for originally?

The equation of the given graph is expressed in slope-intercept form as:

y = -2x + 3

To find the equation of the linear graph that passes through the point (0, 3) and (1, 1), we can use the slope-intercept form of the equation of a line, which is:

y = mx + b

where m is the slope of the line and b is the y-intercept (the point where the line intersects the y-axis).

First, let's find the slope of the line. The slope, m, is given by:

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

where (x1, y1) = (0, 3) and (x2, y2) = (1, 1).

So, we have:

m = (1 - 3) / (1 - 0) = -2

Next, let's find the y-intercept, b. We can use the point (0, 3) for this, since we know that the line passes through this point. Plugging in the values of m, x, and y into the equation, we get:

3 = -2(0) + b

b = 3

So, the equation of the line is:

y = -2x + 3

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The missing graph is shown in the attachment below.

To calculate the total charge within the cylinder with dimensions r=1.5 and h=3, we use the potential function V = 5r + 4 cos Ø in cylindrical coordinates.

The total charge can be obtained by integrating the charge density over the volume of the cylinder.

The potential V within the cylinder is given by V = 5r + 4 cos Ø, where r represents the radial distance from the axis of the cylinder and Ø represents the angle in the cylindrical coordinate system. To calculate the total charge within the cylinder, we need to integrate the charge density over its volume.

The charge density ρ can be related to the potential by ρ = -∇²V, where ∇² is the Laplacian operator. In cylindrical coordinates, the Laplacian operator takes the form:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز + ∂²/∂z²

Since the potential function V does not depend on the z coordinate, the Laplacian reduces to:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز

Applying this operator to the potential function V, we find:

∇²V = (1/r) ∂/∂r (r ∂V/∂r) + (1/r²) ∂²V/∂ز

To find the charge density, we substitute this expression into ρ = -∇²V:

ρ = -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز

To calculate the total charge, we integrate the charge density ρ over the volume of the cylinder:

Q = ∫∫∫ ρ dV = ∫∫∫ -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز dV

The integration is performed over the cylindrical coordinates r, Ø, and z, with appropriate limits. Evaluating this integral will give us the total charge within the cylinder.

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The percentage of the household survey that owned televisions is 72%. And the sample is defined below.

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Random sampling is the method of selecting the subset from the set to make a statical inference.

All states households 1565 households surveyed 1127 households that owned televisions. Then the percentage will be

\(\rm Percentage = \dfrac{1127}{1565}*100\\\\Percentage = 0.72*100\\\\Percentage = 72 \%\)

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Answer:

1565 households surveyed

Step-by-step explanation:

I did this on edge :)

Answer:

3 miles

Step-by-step explanation:

y(x) = total minutes

y = total miles

x = the time in minutes it take erica to run a mile

4x = 56

x = 56/4

x = 14

so it takes her 14 minutes to run one mile

plug 14 into x

y(14) = 42

42/14 = 3 miles

Answer:

y = 45x miles

Step-by-step explanation:

Speed is the rate of change of distance with time. Mathematically,

speed = distance/time

Given that Darla travels at a constant speed of 45 miles per hour and for y miles, it takes her x hours then

45 = y/x

multiply both sides by x

45x = y

then the number of miles (y) Darla can drive in x hours

y = 45x (in miles)

Answer:

first one

Step-by-step explanation:

The graph intersects x-axis at (4,0)  and (-3,0)

If function f has zeros at -3 and 4 then the first graph represents the function f.

When a function has zeros at -3 and 4, it means that the function's value is equal to zero at those x-values.

In other words, when x = -3 and x = 4, the function f(x) becomes 0.

To represent this on a graph, you should look for two points where the graph intersects the x-axis at -3 and 4.

When the graph crosses the x-axis at these points, it indicates that the function has zeros at those x-values.

When we observe the graphs, the first graph has zeros at -3 and 4.

Hence, the first graph could represent the function f with zeros at -3 and 4.

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The claim that the population mean is less than 125 (Option E) would

the interval tends to refute.

The 90% confidence interval for the population mean is 135 to 160. This means that if we were to repeat the process of taking samples from the same population and constructing a 90% confidence interval, we would expect 90% of the intervals to contain the true population mean.

With this in mind, let's consider each claim:

A. The interval does not rule out the possibility that the population mean is more than 110, as 110 is less than the lower bound of the interval.

B. The interval does not rule out the possibility that the population mean is less than 150, as 150 is greater than the upper bound of the interval.

C. The interval does not rule out the possibility that the population mean is between 140 and 150, as both of these values fall within the interval.

D. The interval does not rule out the possibility that the population mean is more than 140, as 140 is less than the upper bound of the interval.

E. The interval refutes the claim that the population mean is less than 125, as 125 is less than the lower bound of the interval.

Therefore, the answer is (E) The population mean is less than than 125.

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Answer:

The number is 24

Step-by-step explanation:

The quotient is the answer of a division problem. If a number is divided by 3 and the answer is 8, then the number would be 24. You could set it up into an  equation.

x/3=8

then you multiply both sides by 3 and you will get

x=24

The quotient is indeed the number generated by dividing one integer by the other. Whenever a fraction is simplified, the division is the whole amount that results.

Calculation of the equation:

\(\to \bold{\frac{x}{3}=8}\\\\\to \bold{x=8\times 3} \\\\\to \bold{x=24}\)

Therefore, the final answer is "24".

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When the researchers conducting a survey asked participants to rate each study location and compared the mean scores for each location, the statistical test that would be most effective in estimating this relationship is independent samples t-test.

The independent samples t - test is a statistical test used to compares the sample means of two independent groups to establish if there is statistical evidence that the associated population means are significantly different. It is a parametric test.  It is used in comparing the means of precisely two groups as in this case (dodge hall or snell library) and is conducted determine if two population means are different.

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Answer: Your answer is C.

Step-by-step explanation: The number 35 is an irrational number because it can’t be expressed as a ratio. And the other are a bit confusing for me to explain why your answer is C but I’m very positive that your answer is C

Answer:

1.             The volume of the composite figure is 10,164 \(cm^3\).

2.            The measure of ∠BCM is 59°.

3.            The area of the given figure is 823.5 \(in^2\).

4.            The area of the given figure is 60 \(yd^2\).

5.            The area of the following figure is 22.5 \(m^2\).

Step-by-step explanation:

1.             In order to make finding the composite figure's volume easier, we can separate the figure into two rectangular prisms, find the volume of each, and add them together. If we make a horizontal cut across the top of the large rectangular prism, we would have two rectangular prisms: One with the dimensions 23 cm × 10 cm × 42 cm, and one with the dimensions 3 cm × 4 cm × 42 cm. Their respective volumes would be 9,660 \(cm^3\) and 504 \(cm^3\). Therefore, the composite figure's volume is 9,660 + 504 = 10,164 \(cm^3.\)

2.           As ∠BCH and ∠MCD are vertical angles, we can conclude that 4g + 109 = 5g + 106. Based on this information, g is equivalent to 3, meaning both ∠BCH and ∠MCD have an angle measure of 121°. Since both angles form a straight angle with ∠BCM, we know that 121° plus the angle measure of ∠BCM is equivalent to 180°. Therefore, we can conclude that ∠BCM = 180 - 121 = 59°.

3.         In order to make finding the area of the given figure easier, we can split the figure into three shapes: two rectangles and a triangle. The area of the large rectangle is 12 × 54 = 648 \(in^2\), the area of the smaller rectangle is 12 × 9 = 108 \(in^2\), and the area of the triangle is 15 × 9 × \(\frac{1}{2}\) = 67.5 \(in^2\). Therefore, the area of the entire figure would be 648 + 108 + 67.5 = 823.5 \(in^2\).

4.         Like questions 1 and 3, we can cut the figure into a triangle, a rectangle, and a parallelogram in order to find the entire area easier. The area of the rectangle is 11 × 4 = 44 \(yd^2\), and the area of the triangle is 5 × 4 × \(\frac{1}{2}\) = 10 \(yd^2\). As for the parallelogram, it's important to note that in order to find the area of a parallelogram, you only need to multiply the length and the height together as you would for a rectangle. This is because you can cut any parallelogram and reshape it into a rectangle with the same dimensions, therefore the area of the parallelogram would be 3 × 2 = 6 \(yd^2\). Lastly, the area of the entire given figure would be 44 + 10 + 6 = 60 \(yd^2\).

5.       Lastly, we are given a triangle and asked to find its area. An important information to keep in mind is that as long as you know a base length and the vertical height to that corresponding side, the formula to calculate the area of a triangle would still be \(\frac{1}{2} bh\). In the given triangle, the base length is 9 meters, and the vertical height is 5 meters. Therefore, the area of the following figure would be 22.5 \(m^2\).

Have a great day! Feel free to let me know if you have any more questions :)

Answer:

Step-by-step explanation:

1200

Answer:

6ft

Step-by-step explanation:

Hope it helps.Please give me a brainllest if I am correct.

Answer:

b. x=sin^-1(a/c)

c. x=tan^-1(c/a)

e. y=cos^-1(c/b)

Step-by-step explanation:

on edge!

The measures of the unknown angles are x = sin⁻¹(c/b), x = cos⁻¹(c/a) and y = tan⁻¹(c/b)

A trigonometric ratio is a ratio of the length of sides of a right-angle triangle. It relates the ratio of sides to the respective angle. The most common trigonometric ratios are sine, cosine, and tangent.

Given is a right-triangle, we need to find the unknown angles,

In the right triangle of the figure,

For the angle x :-

cos x = a/b

x = cos⁻¹(a/b)

sin x = c/b

x = sin⁻¹(c/b)

tan x = c/a

x = tan⁻¹(c/a)

For angle y :--

cos y = c/b

y = cos⁻¹(c/b)

sin y = a/b

y = sin⁻¹(a/b)

tan y = a/c

y = tan⁻¹(c/b)

Hence, the measures of the unknown angles are x = sin⁻¹(c/b), x = cos⁻¹(c/a) and y = tan⁻¹(c/b)

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Answer:

2125m or 2km or 125m

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

2125 meters

Step-by-step explanation:

Have a great day!

Answer:

The vertex will be at ( -1,-2)

Step-by-step explanation:

g(x) = |x + 1| - 2.

The vertex of g(x) = |x |  is ( 0,0)

y = f(x) + C C < 0 moves it down  

y = f(x + C) C > 0 moves it left

We shift this  to the left 1 unit and down 2 units

( 0 -1, 0-2)

The vertex will be at ( -1,-2)

Given: g(x) = |x + 1| - 2.

We start at g(x) = |x| at (0, 0)

c < 0 moves it down

y = f(x) + c

2 units down

c > 0 moves it left

y = f(x + c)

1 unit to the left

After the shift, we see the vertex being at (-1, -2).

Best of Luck!

Answer:

\(\sqrt{7}\), 2.8, \(\pi\), \(\sqrt{17}\), 4.6

Step-by-step explanation:

To order the numbers from least to greatest turn all the numbers into decimal form.

\(\sqrt{7}\): 2.65

\(\sqrt{17}\): 4.12

\(\pi\): 3.14

4.6

2.8

Now order them from least to greatest (make sure you put the numbers back into their original form)

\(\sqrt{7}\), 2.8, \(\pi\), \(\sqrt{17}\), 4.6

The numbers in the form of least to greatest will be \(\sqrt{7}\), \(2\overline{.8}\), π, \(\sqrt{17}\), 4.6.

Rational numbers are those numbers which have terminating,Repeating or recurring digits after the decimal place.

Irrational numbers have non-repeating, non-recurring non-terminating digits after the decimal place.

According to the given question we have to order the number from least to greatest.

Given number are 4.6, \(2\overline{.8}\), π, \(\sqrt{17}\), \(\sqrt{7}\).

We know the value of π is 3.14 approx and square root of 17 lies between square root of 16 and 25 which are 4 and 5 but more close to 4 and square root of 7 lies between square root of 4 and 9 which are 2 and 3.

∴  The given numbers in increasing order will be

\(\sqrt{7}\), \(2\overline{.8}\), π, \(\sqrt{17}\), 4.6.

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A process in which a number is changed, such as by adding, subtracting, dividing, or multiplying is called Mathematical Expression.

When we combine numbers and variables in a valid way, using operations such as addition, subtraction, multiplication, division, exponentiation, and other operations and functions as yet unlearned, the resulting combination of mathematical symbols is called a Mathematical Expression.

Addition is adding two or more numbers to find their sum.

Subtracting is finding the difference between two or more numbers.

Division is finding the quotient of two number by dividing the both numbers.

Multiplying is finding the product of two or more numbers.

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Answer:

i think 9

Step-by-step explanation:

Answer: 11 and 3i in order

Step-by-step explanation:

The real parts are parts with numbers, while the imaginary are the ones with i

So the sum of the real parts is 21 + -10 = 11

And the sum of the imaginary parts is -5i + 8i = 3i

Answer:

BE = 22.4 cm

Step-by-step explanation:

Δ CAB and Δ CDE are similar , then ratios of corresponding sides are equal, that is

\(\frac{CB}{CE}\) = \(\frac{AB}{DE}\) , substitute values

\(\frac{6.4}{CE}\) = \(\frac{8}{20}\) ( cross- multiply )

8 CE = 128 ( divide both sides by 8 )

CE = 16 cm

Then

BE = BC + CE = 6.4 + 16 = 22.4 cm

Answer:

a

Step-by-step explanation

25 minutes. The time it would take to row across the lake is 15 minutes (1 km/4 km/hour = 0.25 hour), and the time it would take to walk around the lake is 10 minutes (1 km/6 km/hour = 0.1666 hour). Thus, the minimum amount of time necessary to cross the lake is 25 minutes (15 + 10).

1 km/4 km/hour = 0.25 hour (time to row across the lake)

1 km/6 km/hour = 0.1666 hour (time to walk around the lake)

Minimum amount of time necessary to cross the lake = 0.25 + 0.1666 = 0.4166 hour

0.4166 hour x 60 minutes/hour = 25 minutes

Sam can row across the lake in 15 minutes (1 km/4 km/hour = 0.25 hour) or walk around it in 10 minutes (1 km/6 km/hour = 0.1666 hour). The minimum amount of time necessary to cross the lake is 25 minutes (15 + 10), as this is the lowest total time to get from one side to the other.

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Answer:

make me brainlaiest.....

Answer:

The value of x = 5

The value of z = 107

Step-by-step explanation:

=> (6x+43)° +107° = 180° { linear pair }

=> 6x+43 +107 = 180

=> 6x + 150 = 180

=> 6x = 180-150

=> x = 30/6

=> x = 5

Now solve for z ,

107 = z { Vertically opposite angle }

Answer:

The function has point discontinuity (a hole in fancy terms)

Step-by-step explanation:

If you factor out the top, you will get x(x + 2)(x + 5). You can right away cross out the (x + 5)'s. When you do so, you will create a hole in the graph, because x ≠ 5. Therefore, your answer is the 1st option.

Ian’s mom sang him S songs. Then his sister sang him two times as many as his mom had. If Ian listened to nine songs in all, Ian's mom sanghim twIan’s mom sang him S songs. Then his sister sang him two times as many as his mom had. If Ian listened to nine songs in all, Ian's mom sango times as many as his mom had. If Ian listened to nine songs in all, Ian's mom sang _____songs.

To find the possible values of k, we need to calculate the determinant of matrix D and set it equal to 1024.

Given matrix D:

D = | k 0 0 |

| 3 k² k³ |

| 0 kª k³ kº |

| k k k |

| 0 0 0 |

| k¹⁰ |

The determinant of D can be calculated by expanding along the first row or the first column. Let's expand along the first row:

det(D) = k(det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |)

- 0(det | 3 k² k³ |

| 0 kª k³ |

| k k k |)

+ 0(det | 3 k² k³ |

| k k k |

| k k k |)

Simplifying further, we have:

det(D) = k(det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |)

Now, we can calculate the determinant of the 3x3 submatrix:

det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |

This determinant can be found by expanding along the first row or the first column. Expanding along the first row gives us:

det = k(k³(kº) - 0(k)) - 0(0(k¹⁰)) = k⁴kº = k⁴+kº

Now, we can set det(D) equal to 1024 and solve for k:

k⁴+kº = 1024

Since we are looking for all possible values of k, we need to solve this equation for k. However, solving this equation may require numerical methods or approximations, as it is a quartic equation.

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Answer:

12xy+14x

Step-by-step explanation:

12xy+14x

Hope this helps :3

Answer:

12xy + 14x

Step-by-step explanation:

I believer this is correct