Two friends are sharing 5 banana muffins. How much muffin will each person get, if each gets the same amount?
nb32193 answer this please

To find the relationship between the volume of a prism and a pyramid with congruent bases and equal heights, we need to consider their formulas.  
The volume of a pyramid is given by the formula V = (1/3)Bh,

where B represents the area of the base and h represents the height. Since the bases of the prism and pyramid are congruent and their heights are equal, we can write the equation:

Volume of Prism = 2 × Volume of Pyramid Using the formulas mentioned earlier, we can substitute the expressions for the volumes:

Bh = 2 × (1/3)Bh
Simplifying this equation, we can cancel out the B's:

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The statement "a prism and a pyramid have congruent bases and equal heights, and the volume of the prism is twice the volume of the pyramid" is FALSE.

To understand why, let's consider a simple example. Imagine we have a triangular prism and a triangular pyramid with congruent bases and equal heights. The base of both shapes is a triangle, and their heights are the same.

The volume of a prism can be calculated by multiplying the area of its base by its height. Similarly, the volume of a pyramid can be calculated by multiplying the area of its base by one-third of its height.

Since the prism and the pyramid have congruent bases and equal heights, the only difference in the volume calculation is the factor of 1/3 for the pyramid.

This means that the volume of the pyramid is one-third the volume of the prism, not half. Therefore, the statement that the volume of the prism is twice the volume of the pyramid is false.

Therefore, the statement is incorrect, and the volume of the prism is not twice the volume of the pyramid, but rather three times as much.

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Explanation:

Add up the number of rings of each color:

11+15+0+5 = 31

We have 31 rings total. Of this total, we have 5 yellow.

This means the theoretical probability of getting yellow is approximately 5/31 = 0.161

This is roughly a 16.1% chance.

Answer:

0.161

Step-by-step explanation:

5 yellow rings out of 31.

5/31 = 0.16129032

Answer:

8i

Step-by-step explanation:

When a quantity is raised to a fractional power, you need to root it to the power of the denominator.

For example, (-64)^(1/2)  =  √(-64)

Since you are taking the root of a negative, you will need to put an i (imaginary) in your answer.

Answer:

8

Step-by-step explanation:

Simplify the expression.

Rewrite 64 as 8^2

Apply the power rule and multiply exponents, (am^)n = a^mn

8^2(1/2)

Cancel the common factor of 2

Rewrite the expression.

8^1

Evaluate the exponent.

8

Hope that helps!

Therefore, the inverse Laplace transform of F(s) is f(t) = -1/5 * e^(-t) + (6sin(2t) + cos(2t))/5.

To find the inverse Laplace transform of the given function F(s) = s^2 / [(s+1)(s^2 + 2s + 5)], we can use partial fraction decomposition and known Laplace transforms.

First, let's factor the denominator:

s^2 + 2s + 5 = (s+1)(s+1) + 4

Now, we can rewrite F(s) as:

F(s) = s^2 / ((s+1)^2 + 4)

Using partial fraction decomposition, we can express F(s) as the sum of simpler fractions:

F(s) = A/(s+1) + (Bs + C)/((s+1)^2 + 4)

To find the values of A, B, and C, we need to equate the numerators of both sides of the equation:

s^2 = A*((s+1)^2 + 4) + (Bs + C)*(s+1)

Expanding and simplifying the right side:

s^2 = A*(s^2 + 2s + 5) + (Bs^2 + (B + C)*s + C)

Matching the coefficients of like terms on both sides, we can form a system of equations:

For s^2 term:

1 = A + B

For s term:

0 = A + (B + C)

For constant term:

0 = 5A + C

Solving this system of equations, we find A = -1/5, B = 6/5, and C = 1/5.

Now, we can rewrite F(s) using the partial fraction decomposition:

F(s) = -1/5 / (s+1) + (6s + 1)/5 / ((s+1)^2 + 4)

Taking the inverse Laplace transform of each term using known Laplace transforms, we get:

f(t) = -1/5 * e^(-t) + (6sin(2t) + cos(2t))/5

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Answer:

X=1.8

Step-by-step explanation:

Step one: 5 times 1.8 equals 9.

Step two: 9+2=11

run me my points .

Step-by-step explanation:

e - 3,4 = 18,7

e = 18,7 + 3,4

e = 22,1

16 + 16 = 32

X * 4.75 = ?

32 + X = Y

You would add 16 plus 16 because there are TWO new books being bought, you multiply however many used books there are (X) by 4.5 then add that answer to 16+16, solve that, and you have your answer = Y

Hope this helps ^-^

Answer:

x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.75x+3=6(x−3)

0.75x+3=(6)(x)+(6)(−3)(Distribute)

0.75x+3=6x+−18

0.75x+3=6x−18

Step 2: Subtract 6x from both sides.

0.75x+3−6x=6x−18−6x

−5.25x+3=−18

Step 3: Subtract 3 from both sides.

−5.25x+3−3=−18−3

−5.25x=−21

Step 4: Divide both sides by -5.25.

−5.25x/-5.25    =    -21/-5.25

Answer: x=4

The value of x from the given equation is 4.

The given equation is 0.75x + 3 = 6 (x - 3).

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solve for x as follows:

0.75x + 3 = 6x - 18

⇒ 6x-0.75x = 3+18

⇒ 5.25x=21

⇒ x=21/5.25

⇒ x=4

Therefore, the value of x from the given equation is 4.

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The slope of the line that passes through the points (7, 5) and (1, 6) is -1/6

First, we shall list out the given parameters. This is given below:

The slope of the line can be obtained as follow:

m = (y₂ - y₁) / (x₂ - x₁)

m = (6 - 5) / (1 - 7)

m = 1 / -6

m = -1/6

Thus, we can conclude from the above calculation that the slope of the line is -1/6

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Answer:

7.5

Step-by-step explanation:

The values 15ft, 13ft and x are the sides of a right triangle;

According to pythagoras theorem;

15² = 13²+x²

x² = 15² - 13²

x² = 225 -169

x² = 56

x = √56

x = 7.48

Hence the value of x to the nearest tenth is 7.5 to the nearest tenth

3200

Multiply days by number of sit-ups per day... 400*8 = 3200

Answer:

There is a 8.11% of any randomly selected athlete to test positive.

Step-by-step explanation:

To make it easier, let's assume there are 100 athletes

5/100 have it

3/95 do not have it, but will test positive

1% of the 5 athletes who are using PEDs = 0.05%

This means that 4.95/100 will test positive

3/95 = 3.16%

(rounded, if you need a more precise answer, it's 3.1578947368421053)

3.16% + 4.95% = 8.11%

Answer:

First option is the correct answer

Second option is the correct answer

Step-by-step explanation:

Five added to a number, then divides by two equals eight

\( \frac{x+5}{2} = 8\)

Three added to one fourth of a number gives seven.

\( \frac{1}{4} x+3= 7\)

Answer:

Step-by-step explanation:

1) option A

Let the number be x

Five added to a number = x +5

Then divided by 2 :    \(\frac{x+5}{2}\)

Equation:

\(\frac{x+5}{2}=8\)

2) option B

one fourth of a number: (1/4)x

Three added to one fourth of a number : \(\frac{1}{4}x+3\)

Equation:

\(\frac{1}{4}x+3=7\)

Answer:

9. 400,000

10. 1,848,800,000

11. .00083

12. .000003582

13. 0.0297

14. 6400

15. 84560000

16. .0000906

Hope this helps!!!

f(x) = x^2-18

g(x)=20-x

Divide both functions and evaluate for 7

(F/g) (7) = (x^2-18) / (20-x)

(F/g) (7) = (7^2-18) / (20-7)

(F/g) (7) = (49-18) / 13= 31/13 = 2.38

The equation of the least-squares regression line based on these data is, y= 106.92 +2.044x where y =predicted height of child and x = child’s foot length.

To determine the equation of the least-squares regression line, we need to fit a linear model to the data using the method of least squares. The equation of the line can be written as:

height = intercept + slope * foot length

where the intercept and slope are the parameters we need to estimate from the data. The intercept represents the predicted height when foot length is 0, and the slope represents the change in height for each unit increase in foot length.

Substituting the values form the graph,

y= 106.92 +2.044x where y =predicted height of child and x = child’s foot length.

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--The complete question is, Can we predict the heights of school-aged children from foot length? below is computer output from a regression analysis of this relationship for 15 randomly-selected canadian children from 8 to 15 years old, along with a residual plot. the explanatory variable is each child's foot length (in centimeters), and the response variable is the child's height (in centimeters).

What is the equation of the least-squares regression line based on these data?  Define any parameters used.--

Hey there! :)

Answer:

a) 32 sticks.

b) 5n + 2 sticks.

Step-by-step explanation:

Solve this by finding the pattern.

Pattern # 1 = 7 sticks.

Pattern #2 = 12 sticks

Pattern #3 = 17 sticks.

We can see an increase of 5 sticks within each. We can use this to write an equation:

f(n) = 7 + 5(n-1)

***Where n is the term number

You can simplify the equation to become:

f(n) = 7 + 5n - 5

f(n) = 5n + 2.

Use this equation to solve for pattern # 6:

f(6) = 7 + 5(n-1)

f(6) = 7 + 5(5)

f(6) = 7 + 25

f(6) = 32.

Answer:

5-m is the expression is equivalent to - m + 5.

It will take 20 months for Loren and Jessica to have the same amount in their savings accounts.

Loren's savings account doubles every month, so we can use the formula for compound interest to figure out how long it will take to reach $10,000:

$10,000 = $0.01 * 2ⁿ

1,000,000 = 2ⁿ

n = log2(1,000,000) ≈ 20

It will take Loren 20 months to reach $10,000 in her savings account.

During that same time period, Jessica's account will have grown by $275/month * 20 months = $5,500.

the amount of money in Jessica's account after 20 months will be:

$17.88 + $5,500 = $5,517.88

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Answer:

\(\displaystyle \sin t = - \frac{5}{6}\)

Step-by-step explanation:

Recall that since sine is an odd function:

\(\displaystyle \sin (-\theta) = -\sin \theta\)

Hence:

\(\displaystyle \sin(-t) = -\sin t = \frac{5}{6}\)

Therefore:

\(\displaystyle \sin t = - \frac{5}{6}\)

11 is the distance between given two numbers.

To find the distance between 7 and -4,

we need to find the absolute value of the difference between them:

|7 - (-4)| = |7 + 4| = |11| = 11

Therefore, the distance between 7 and -4 is 11.

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Answer:

The slope is \(-\frac{3}{4}\), and the y-intercept is\(-\frac{17}{4}\).

Step-by-step explanation:

\(y=-\frac{3}{4}x-\frac{17}{4}\) is the slope-intercept form

Answer:

x < 5

Step-by-step explanation:

4x + 35 < 55

4x < 55 - 35

4x < 20

4/4 x < 20/4

x < 5

The scale factor of the drawing made  by Stanley is 1/3

Scale factors are used to increase or decrease image. The situation of increment is usually called magnifying.

For the given drawing the picnic area, which is 120 yards long in real life, is 270 inches long in the drawing

1 yard is 3 feet the 120 yards

= 120 * 3

= 360

solving for the factor, assuming the factor is k

360k = 270

k = 270 / 360

k = 1 / 3

This factor used by Stanley is 1/3

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Step-by-step explanation:

1). 6, 9, 10

6²+9² =

36+81 = 117

10² = 100

6²+9² > 10²

the acute triangle

2). 2, 12, 13

2²+12² =

4+144 = 148

13² = 169

2²+12² < 13²

the obtuse triangle

3). 9, 12, 19

9²+12²=

81+ 144 = 225

19² = 361

9²+12² < 19²

the obtuse triangle

4). 21, 28, 35

21²+28² =

441 + 784 = 1,225

35² = 1,225

21²+28² = 35²

the right triangle

_________

\(\:\)

Answer in the picture.

Around 50% to 75% of the daffodils on the south side of the building are not between 46cm and 48cm.

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Here,

This question asks for the probability that none of the three daffodils selected from the south side of the building are between 46cm and 48cm.

Since the median of the data is 46cm

the third quartile is 48cm,

this means that about 50% to 75% of the daffodils on the south side of the building are between 46cm and 48cm.

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The required slope of the given line is 2.5x+5y=20 m = 1/2

Given that,
To determine the slope of the line 2.5x+5y=20.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

here,
standard equation of the line,
y = mx + C
Transform the given equation into the equation of the line,
2.5x+5y=20
y = 1/2x + 8
When comparing the above equation with the standard equation of line,
m = 1/2

Thus, the required slope of the given line is 2.5x+5y=20 m = 1/2

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