Levi brought a bag containing 50 small candies. He starts eating the candies at a rate of 4 candies per minute. Answer the questions below regarding the relationship between the number of minutes eating and the number of candies left in the bag.

Whoever answers correctly with an detailed explanation will get Brainliest!!!

Answer:

56

Step-by-step explanation:

because of the type of triangle (isosceles) the 2 angles on the bottom near the equal sides will have equal angle sizes so...

62+62+x=180

124+x=180

x=180-124

x=56

Since the limit of F(x) is infinity, we can conclude that F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. Therefore, F(x) = logx xlogx 5 is not ω(logx).

A function is a relation between sets that assigns to each element of a first set, exactly one element of the second set. Functions are typically written as an equation, with the first set (the domain) on the left side and the second set (the range) on the right side. The most common type of function is a function from real numbers to real numbers, which is often referred to as a real-valued function. Examples of real-valued functions include linear, polynomial, exponential, and trigonometric functions.


False. F(x) = logx xlogx 5 is not ω(logx). ω(logx) is a notation used to denote a function that grows faster than logx as x approaches infinity. However, F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. To prove this, we can calculate the limit of F(x) as x approaches infinity:

lim F(x) = lim (logx xlogx 5)

= lim (logx xlogx) lim 5

= ∞∞ 5

= ∞

Since the limit of F(x) is infinity, we can conclude that F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. Therefore, F(x) = logx xlogx 5 is not ω(logx).

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Answer:

Sarah bought 7 coach tickets and 4 first class tickets.

Step-by-step explanation:

From the information provided, you can write the following equations:

x+y=11 (1)

240x+1100y=6080 (2), where:

x is the number of coach tickets

y is the number of first class tickets

In order to find the value of x and y, first you have to solve for x in (1):

x=11-y (3)

Now, you have to replace (3) in (2) and solve for y:

240(11-y)+1100y=6080

2640-240y+1100y=6080

860y=6080-2640

860y=3440

y=3440/860

y=4

Finally, you can replace the value of y in (3) to find the value of x:

x=11-y

x=11-4

x=7

According to this, the answer is that Sarah bought 7 coach tickets and 4 first class tickets.

Answer:

A

Step-by-step explanation:

The other triangles use other congruency theorems, so if you look at the lines that indicate the angles and sides are congruent, A is the only option with two angles which are congruent with a congruent side after it.

Answer:

Y=8x-32

Step-by-step explanation:

Point Form:

(4,0)

Equation Form:

x=4, y=0

The equation used to solve for x is x + 35 = 90, the value of x is 55 and the complemetary angle to 32° is 58°.

Two angles are called complementary when their measures add to 90 degrees.

From the image, the two angle forms a right angle, which is a 90 degree angle.

Hence:

Angle 1 = 32 degree

Angle 2 = ( x + 3 ) degree

Since the two angles are complementary, their sum equals 90 degrees:

Hence:

Angle 1 + Angle 2 = 90 degrees

Plug in the values

32 + ( x + 3 ) = 90

Simplifying, we get:

32 + 3 + x = 90

35 + x = 90

x + 35 = 90

Now, to solve for the value of x,  subtract 35 from both sides:

x + 35 - 35 = 90 - 35

x = 55

Hence:

Angle 2 = x + 3

Plug in x = 55

Angle 2 = 55 + 3

Angle 2 = 58°

Therefore, the measure of angle 2 is 58 degrees.

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Answer:

Step-by-step explanation:

Given angles,

→ 32°

→ (x + 3)°

Now we have to,

→ Write the equation that is used to find the required value of x.

We know that,

→ The value of a right angle is 90°.

Forming the equation,

→ 32° + (x + 3)° = 90°

Then the value of x will be,

→ 32° + (x + 3)° = 90°

→ 32° + x + 3° = 90°

→ (32 + 3)° + x = 90°

→ 35° + x = 90°

→ x = 90° - 35°

→ [ x = 55 ]

Hence, the value of x is 55.

Answer:

11

Step-by-step explanation:

Answer: ???

Step-by-step explanation: There is no table shown.

Answer:

The table shows the relationship between the number of parents in a household and the number of children in the same household. Is the number of children proportional to the number of parents in the household?

Step-by-step explanation:

For the food bill, each person would owe $31.33 ($156.65 divided by 5). For the alcohol bill, each person would owe $9.90 ($49.50 divided by 5).

To find out how much you owe for each bill, you need to divide the total amount on each bill by the number of people attending the working dinner (5 people).

For the food bill:
1. Total food cost: $156.65
2. Divide by the number of people (5): $156.65 / 5 = $31.33

For the alcohol bill:
1. Total alcohol cost: $49.50
2. Divide by the number of people (5): $49.50 / 5 = $9.90

So, you owe $31.33 for the food bill and $9.90 for the alcohol bill.

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Answer:

I don't really understand what you're asking but, m<C equals 90⁰, and i think angle A's measurement says 0⁰, so I'm guessing you have to find angle B?

Answer:

same bud

Step-by-step explanation:

The value of x when solving for the alternate angles is; x = 20 degrees

Alternate angles are defined as angles that occur on the opposite sides of the transversal line and thus have the same size. There are two different types of alternate angles namely alternate interior angles and alternate exterior angles 3x + 50 degrees and 6x - 10 degrees are alternate angles and as such;

3x + 50 = 6x - 10

Rearrange to collect like terms to get;

6x - 3x = 50 + 10

3x = 60

x = 60/3

x = 20 degrees

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\(\text{By the Pythagorean Theorem}\\c^2=6^2+8^2\\c^2=36+64\\c^2=100\\c=\sqrt{100} \\c=10\)

Answer:

FE is not congruent to FG.

Step-by-step explanation:

FE is 49 and FG is 111.

So, because these two numbers are not equal,

FE is not congruent to FG.

Answer:

We know that that x represents (1)

2/5 is the answer because if you add, multiply them together you will get 2/5=40/100%

Hope this helps

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Using proportions, it is found that Ms. Grant had $18,896 of his total savings left after making the donation.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, she saved $80 a month for 22 years = 22 x 12 months, hence the total amount saved is given by:

T = 80 x 22 x 12 = $21,120.

She donated 20% of her savings to a charity, hence she retained 80% of the total amount, which is given by:

R = 0.8 x 21,120 = $18,896.

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Using strong induction, we can prove that the square root of -2 is irrational by showing that it cannot be expressed as a fraction of coprime odd integers.

To prove that √-2 is irrational using strong induction, we need to show that for any natural number n, if the square root of -2 can be expressed as a fraction a/b, where a and b are coprime integers, then a and b must be odd.

We can start by using the base case, n = 1. Assume that √-2 can be expressed as a fraction a/b where a and b are coprime integers. Then, we have

√-2 = a/b

Squaring both sides gives

-2 = a^2/b^2

Multiplying both sides by b^2 gives

-2b^2 = a^2

This implies that a^2 is even, and therefore a is also even. We can express a as 2k for some integer k, which means

-2b^2 = (2k)^2

Simplifying, we get

-2b^2 = 4k^2

Dividing both sides by -2 gives

b^2 = -2k^2

This implies that b^2 is even, which means that b is also even. However, this contradicts our assumption that a and b are coprime integers. Therefore, √-2 cannot be expressed as a fraction a/b where a and b are coprime integers.

Now, let's assume that for all n ≤ k, the square root of -2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd. We want to prove that this also holds for n = k+1.

Assume that √-2 can be expressed as a fraction a/b where a and b are coprime integers with a and b odd. Then, we have

√-2 = a/b

Squaring both sides gives

-2 = a^2/b^2

Multiplying both sides by b^2 gives

-2b^2 = a^2

This implies that a^2 is even, and therefore a is also even. We can express a as 2k for some integer k, which means

-2b^2 = (2k)^2

Simplifying, we get

-2b^2 = 4k^2

Dividing both sides by -2 gives

b^2 = -2k^2

This implies that b^2 is even, which means that b is also even. However, this contradicts our assumption that a and b are coprime integers with a and b odd. Therefore, √-2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd.

By strong induction, we have proven that for any natural number n, the square root of -2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd. Therefore, √-2 is irrational.

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The difference between the two diameters in meters for the red blood cells and the coarse grain of sand would be = 0.0000625meter

The diameter of red blood cell = 7.5 micrometers.

The diameter of coarse grain of sand = 70 micrometers.

The difference between the two = 70-7.5 = 62.5 micrometers.

To convert to micrometers to meters divide by 1000000;

That is 1 meter = 1000,000 micrometers

X meter = 62.5 micrometers

make X meters the subject of formula;

X = 62.5/1000000

X= 0.0000625 meter

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Answer with explanation:

Yes, each point on a circle is a fixed distance from the center of the circle. This is called the radius of the circle. By definition, all radii of a circle are equal.

Similar polygons have corresponding sides in similar proportion. Regardless of how large a circle is, each point on the circle will still be a fixed distance away from center of the circle. Therefore, the radii are in a constant proportional and all circles are similar.

To start, let's sketch the graph of the curve y = x from x = 0 to x = 20. This is simply a diagonal line that passes through the points (0,0) and (20,20), as shown below:

```
   |
20  |    *
   |   *  
   |  *  
   | *    
   |*    
0  --------------
  0   10   20
```

Now, we want to revolve this curve around the x-axis to create a solid shape. Specifically, we want to create a paraboloid, which is a three-dimensional shape that looks like an upside-down bowl.

To find the volume of this paraboloid, we need to use calculus. The basic idea is to slice the solid into very thin disks, and then add up the volumes of all the disks to get the total volume.

To do this, we'll use the formula for the volume of a cylinder, which is:

V = πr^2h

where r is the radius of the cylinder and h is its height. In our case, each disk is a cylinder with radius r and height h, where:

- r is equal to the y-value of the curve (i.e. r = y = x), since the disk extends from the x-axis to the curve.
- h is the thickness of the disk, which is a very small change in x. We can call this dx.

So, the volume of each disk is:

dV = πr^2dx
  = πx^2dx

To find the total volume of the paraboloid, we need to add up the volumes of all the disks. This is done using an integral:

V = ∫(from x=0 to x=20) dV
 = ∫(from x=0 to x=20) πx^2dx

Evaluating this integral gives us:

V = π/3 * 20^3
 = 8000π/3

So the exact volume of the paraboloid is 8000π/3.

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Answer:

D

Step-by-step explanation:

Answer:

It's prime, the others are for English.

Step-by-step explanation:

The given statement "A statistics professor wants to compare grades in two different classes of the same course" is True because this experimental design is useful in reducing the impact of extraneous variables and ensuring that the results are reliable and valid.

This is an example of a paired sample. A paired sample is a type of experimental design where each member of one group is matched with a member from the other group based on specific criteria. In this scenario, the statistics professor is comparing grades in two different classes of the same course. This means that each member of one group (class A) is matched with a member of the other group (class B) based on their enrollment in the same course.

Paired samples are often used in scientific research to eliminate the effects of extraneous variables that might affect the results of an experiment. By pairing individuals in two groups based on certain criteria, researchers can control for individual differences and test the effectiveness of different treatments or interventions more accurately.

In the case of the statistics professor, pairing the two classes of the same course is essential to ensure that any differences in grades between the two groups are not due to differences in the course content, teaching styles, or other factors that could influence the grades of the students.

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The cost of the apples is 2.9 dollars.

The cost of the bananas is 5.7 dollars.

The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Therefore,

let

x = number of apples

y = 2x

where

Therefore, using equations,

1.5(x) + y(0.30) = 6

Hence,

where

y = 2x

1.5(x) + 2x(0.30) = 6

1.5x + 0.6x = 6

2.1x = 6

divide both sides by 2.1

x = 6 / 2.1

x = 2.9 dollars

y = 2(2.9) = 5.7 dollars

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It starts at 20 degrees so that is the constant.

As each hour passes, the temperature drops by 2 degrees, so -2 times h.

t = -2h + 20

Hope this helps

the point P_0(2,1,2) lies on the tangent plane, we can use it to find the equation of the normal line:

x - 2 = 2

We start by finding the characteristic equation:

r^2 + 4r + 3 = 0

Solving for r, we get:

r = -1 or r = -3

So the complementary solution is:

y_c(t) = c_1 e^{-t} + c_2 e^{-3t}

Next, we need to find the transfer function H(s):

s^2 Y(s) - s y(0) - y'(0) + 4s Y(s) - 4y(0) + 3Y(s) = 1/s + 1/(s-1)

Applying the initial conditions y(0) = 0 and y'(0) = 1, we get:

(s^2 + 4s + 3) Y(s) = 1/s + 1/(s-1) + 4

Y(s) = [1/(s+1) + 1/(s+3) + 4/(s^2 + 4s + 3)] / (s^2 + 4s + 3)

We can factor the denominator of the second term in the numerator:

Y(s) = [1/(s+1) + 1/(s+3) + 4/((s+1)(s+3))] / [(s+1)(s+3)]

Using partial fraction decomposition, we get:

Y(s) = [2/(s+1) - 1/(s+3) + 1/((s+1)(s+3))] / (s+1) + [-1/(s+1) + 2/(s+3) - 1/((s+1)(s+3))] / (s+3)

Taking the inverse Laplace transform, we get:

y(t) = 2e^{-t} - e^{-3t} + (1/2)(1 - e^{-t}) - (1/2)(1 - e^{-3t})

So the general solution is:

y(t) = y_c(t) + y_p(t) = c_1 e^{-t} + c_2 e^{-3t} + 2e^{-t} - e^{-3t} + (1/2)(1 - e^{-t}) - (1/2)(1 - e^{-3t})

To find a particular solution, we need to solve for the unknown coefficients. Using the initial conditions y(0) = 1 and y'(0) = 0, we get:

c_1 + c_2 + 3/2 = 1

-c_1 - 3c_2 - 1/2 = 0

Solving this system of equations, we get:

c_1 = -2/5

c_2 = 9/10

So the particular solution is:

y_p(t) = (-2/5) e^{-t} + (9/10) e^{-3t} + (1/2)(1 - e^{-t}) - (1/2)(1 - e^{-3t})

Finally, the tangent plane at P_0(2,1,2) is given by the equation:

2x + 4y + 3z = 24

which corresponds to option (B) in the given choices.

To find the normal line, we first need to find the normal vector to the tangent plane, which is simply:

n = <2, 4, 3>

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Answer:

but what to do in do I have to find the area of the particular Region or a length of that

For a right triangle with shortest side 1 and hypotenuse 3, the length of the other side can be found using the Pythagorean theorem (sqrt(3^2 - 1^2) = sqrt(8)).

To use the calculator to convert decimal degrees to degrees, minutes, seconds, simply input the decimal degree value and press the "DMS" button on the calculator. To convert from degrees, minutes, seconds to decimal degrees, enter the value in the format of "degrees minutes seconds" and press the "deg" button on the calculator.
When the period of a trig function is changed, the graph is compressed or stretched horizontally. The amplitude of the graph remains the same.
Zoom 7 on the calculator adjusts the graph to fit within the screen of the calculator.
The sine/cosine value of an angle cannot be greater than 1 because it represents the ratio of the length of a side of a right triangle to the hypotenuse, which is always greater than or equal to the length of the side.
To remember the definitions for the trig functions, use the acronym SOH-CAH-TOA: sine = opposite/hypotenuse, cosine = adjacent/hypotenuse, tangent = opposite/adjacent.
To find the number of degrees in the angle opposite the shortest side of a right triangle with shortest side 3 and hypotenuse 5, use the inverse sine function on the calculator (sin^-1). Input 3/5 into the calculator and press the sin^-1 button to get the angle in radians. To convert to degrees, multiply the value by 180/pi.
To solve a right triangle with shortest side 1 and hypotenuse 2, use the Pythagorean theorem to find the length of the other side (sqrt(2^2 - 1^2) = sqrt(3)). Then use the trig functions to find the values of the other angles and sides. For example, sin(theta) = opposite/hypotenuse = 1/2, so theta = 30 degrees. Similarly, cos(theta) = adjacent/hypotenuse = sqrt(3)/2.
For a right triangle with shortest side 1 and hypotenuse 3, the length of the other side can be found using the Pythagorean theorem (sqrt(3^2 - 1^2) = sqrt(8)). Then use the trig functions to find the values of the other angles and sides. For example, sin(theta) = opposite/hypotenuse = 1/3, so theta = sin^-1(1/3) = 19.47 degrees. Similarly, cos(theta) = adjacent/hypotenuse = sqrt(8)/3.

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Answer:

4%/ a interest compounded semi-annually

Step-by-step explanation:

The option that gives the lower interest rate payment would be more appropriate. to determine this calculate the effective interest rate

Effective annual rate = (1 + APR / m ) ^m - 1

M = number of compounding

(1 + 0.04/2)^2 - 1 = 4.04%

(1 + 0.04/12)^12 - 1 = 4.07%

the choice should be 4%/ a interest compounded semi-annually