A food company sells its corn flakes in boxes of two different sizes: the regular box and the family value box. For the family value box, the length, width, and height of the box have all been increased by 25%.

Answer:

I would say September 10 just because it takes 27 days, 7 hours, and 43 minutes for our Moon to complete one full orbit around Earth.

Step-by-step explanation:

Answer:

Volume of cylinder = 250πm³

Step-by-step explanation:

Given:

Height h = 10 m

Radius r = 5 m

Find:

Volume

Computation:

Volume of cylinder = πr²h

Volume of cylinder = π(5)²(10)

Volume of cylinder = 250πm³

Answer:

0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.

Step-by-step explanation:

Independent events:

If two events are independent, the probability of both happening is the multiplication of their probabilities.

Rock-paper-scissors rules:

A player that choose rocks beats one who chooses scissors.

A player that choose paper beats one who chooses rocks.

A player that choose scissors beats one who chooses paper.

Probability that roommate A wins the game and thus does not have to wash the dishes.

3 possible events:

Roommate A - Rocks(21% of the time) and Roommate B - Scissors(18% of the time)

So

\(p_R = 0.21*0.18 = 0.0378\)

Roommate A - Paper(39% of the time) and Roommate B - Rocks(61% of the time).

So

\(p_P = 0.39*0.61 = 0.2379\)

Roommate A - Scissors(40% of the time) and Roommate B - Paper(21% of the time).

So

\(p_S = 0.4*0.21 = 0.084\)

Probability of roommate A winning:

\(p = p_R + p_P + p_S = 0.0378 + 0.2379 + 0.084 = 0.3597\)

0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.

Answer:

uoyhhgvooihyjug

Step-by-step explanation:

uyfiuyf

The function that grows at the fastest rate for increasing values of x is f(x) = 4×2ˣ.

We can see this by comparing the growth rates of the three functions for larger and larger values of x.

As x gets larger, the exponential function f(x) grows much faster than the other two functions, which are both polynomial functions.

if we plug in x = 10, we get:

f(10) = 4×2¹⁰ = 4×1024 = 4096

h(10) = 9×10² + 25 = 925

g(10) = 15×10 + 6 = 156

As we can see, f(10) is much larger than h(10) and g(10), indicating that f(x) grows at a much faster rate than the other two functions.

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Answer:

x = 7

Step-by-step explanation:    6  25  13  55

since these are similiar triangles the sides of one triangle are equal to the other triangle by the same ratio

The ratio of 90/27  is the same as the (9x-13)/15  ratio

(9x-13)/15 = 90/27

9x - 13  = 15 × 90/27

9x - 13  = 15 × 3 1/3

9x - 13 =   50

9x  =  63

 x = 7

The cost of each pound of grass seed is $6.

A graph of the solution for the cost of each pound of grass seed is shown below.

In order to determine the cost of each pound of grass seed, we would assign a variable to the cost of each pound of grass seed and then translate the word problem into an algebraic linear equation.

Let the variable x represent the cost of each pound of grass seed.

Since Lori bought 3.6 pounds of grass seed and she was charged $22.90, including a tax of $1.30, an algebraic linear equation that best represent this situation is given by;

3.6x + 1.30 = 22.90

3.6x = 22.90 - 1.30

3.6x = 21.60

x = 21.60/3.6

x = $6.

In conclusion, we would sue an online graphing calculator to plot the solution for the cost of each pound of grass seed as shown in the image attached below.

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A point that represents the ordered pair (0, -3) is: D. Point G.

In Mathematics, an ordered pair is sometimes referred to as a coordinate and it can be defined as a pair of two (2) elements or data points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate (abscissa) and the y-coordinate (ordinate) on the coordinate plane of any graph.

Based on the ordered pair (0, -3), we can logically deduce that the coordinates would be located in quadrant IV as shown in the image attached below.

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The option that is not true about polynomial functions is:

Option D. The deg (f ^ 3) = 3m​

For polynomial functions f(x) and g(x), if deg(f) = m * deg(g) = n, then we have the following:

Option A: deg(f + g) = max(m, n)

This is true because we know that the degree of the sum of two polynomials is the maximum of their individual degrees.

Option B: deg(f * g) <= m + n

This is true because we know that the degree of the product of two polynomials is at most the sum of their individual degrees.

Option C: If g is a factor of f, then deg(f) <= m

This is true because If g is a factor of f, it means that f can be divided by g without leaving a remainder. In this case, the degree of f is less than or equal to the degree of g.

D. The deg(f ^ 3) = 3m

This is not true because the degree of the polynomial f raised to the power of 3 is not necessarily equal to 3 times the degree of f. The degree of f^3 will depend on the individual terms and their exponents.

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Answer:

B

Step-by-step explanation:

C(x) = (12,000x - 0.02x^3) - (3000x - 0.002x^3)

C(x) = 12,000x - 0.02x^3 - 3000)x + 0.002x^3

C(x) = (12,000 - 3,000)x + (-0.02 - 0.002)x^3

= 9000x - 0.018x^3

=======================================================

Explanation:

VX is a midsegment and it is half as long compared to the parallel side UY. This means UY is twice as long compared to VX

UY = 2*(VX)

s = 2*(s-37)

s = 2s - 74

s-2s = -74

-s = -74

s = 74

This makes UY be 74 units long

So VX = (1/2)*UY = 0.5*74 = 37

Answer:

37

Step-by-step explanation:

The midsegment theorem states that a midsegment is half the measure of the line it is parallel to (the base).  So VX is 1/2 of UY. So:

2(s-37)=s

2s-74=s

s=74

VX= 37

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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Answer:

Step-by-step explanation:

y

=

1

3

x

−

3

Use the slope-intercept form to find the slope and y-intercept

Slope:

1

3

y-intercept:

(

0

,

−

3

)

Any line can be graphed using two points. Select two

x

values, and plug them into the equation to find the corresponding

y

values.

x

y

0

−

3

3

−

2

Graph the line using the slope and the y-intercept, or the points.

Slope:

1

3

y-intercept:

(

0

,

−

3

)

x

y

0

−

3

3

−

2

image of graph

The solution is, the last possibility is 9x^2 y – 5xy3 + 9x2y =18x^2 y – 5xy3, binomial degree 4.

Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.

here, we have,

First, if we have a polynomial that the form is as follow

P(x,y)=a1x^n-1y^p-1+ a2x^n-2y^p-2 + . . . . + a0xy+c,

the degree can be found with the sum of the highest value of power of each term.

If the number of term is 3, it is called trinomial, if it is 2, the polynomial is called binomial.

So in our case, 0– 5xy3 + 9x2y is a binomial with a degree of 4, because number of term 2, degree =1 + 2 =3, upper than 2+ 1(the second term) 4xy^3– 5xy3 + 9x2y = -xy3 +9x2y, binomial degree 4,

and the last possibility is 9x^2 y – 5xy3 + 9x2y =18x^2 y – 5xy3, binomial degree 4.

Hence, The solution is, the last possibility is 9x^2 y – 5xy3 + 9x2y =18x^2 y – 5xy3, binomial degree 4.

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Activity 1:

We are given two triangles. The two side lengths of one triangle are known but of the other are not. Our task is to choose the value of x and y that will make the triangles congruent.

Now, the side lengths that are congruent are with 31 in the rightmost triangle and 7x -4 in the left-most triangle; therefore, equating them gives

Similarly, side length 24 must equal 4y+8; therefore,

Now we have to choose the values of x and y that will make both equations true.

Let us solve for x in the first equation by first adding 4 to both sides. Doing this gives

Finally, dividing both sides by 7 gives

Activity 2:

Now, for the value of y.

To solve for y, we first subtract 8 from both sides to get

Finally, dividing both sides by 4 gives

Hence, to conclude x = 5 and y = 4.

Answer:

\(\sf y =\dfrac{-11}{8}x +\dfrac{13}{8}\)

Step-by-step explanation:

Here, m is the slope and b is the y-intercept.

( -1, 3) ;  x₁ = -1  & y₁ = 3

(7, -8) ; x₂ = 7 & y₂ = -8

Slope can be obtained by the formula:

    \(\sf \boxed{\bf Slope = \dfrac{y_2-y_1}{x_2-x_1}}\)

                \(\sf =\dfrac{-8-3}{7-[-1]}\\\\\\=\dfrac{-8-3}{7+1}\\\\\\=\dfrac{-11}{8}\)

Now, we can find the y-intercept,

\(\sf y = \dfrac{-11}{8}x + b\\\\Substitute \ any \ one \ of \ the \ point \ in \ the \ above \ equation.\\\\\text{Here, we are substituting (-1 ,3)}\\\\3 = \dfrac{-11}{8}*(-1) + b\\\\3 = \dfrac{11}{8}+b\\\\b = 3 - \dfrac{11}{8}\\\\b = \dfrac{3*8}{1*8}-\dfrac{11}{8}\\\\b= \dfrac{24-11}{8}\\\\b= \dfrac{13}{8}\)

Slope-intercept form:

          \(\sf y =\dfrac{-11}{8}x +\dfrac{13}{8}\)

Answer:

12.86

Step-by-step explanation:

this is rounded to the nearest hundredth

Answer:

8.604 in.

Step-by-step explanation:

We can use the formula for compound interest to find the height of domino #9:

A = P(1 + r)^n

where A is the final amount, P is the initial amount, r is the growth rate, and n is the number of compounding periods. In this case, P is the height of domino #0, r is 15% or 0.15, and n is 9 (since we want to find the height of domino #9).

Substituting the given values:

A = 3.00 in * (1 + 0.15)^9

Simplifying:

A = 3.00 in * 2.86797199

A ≈ 8.604 in

Therefore, the height of domino #9 is approximately 8.604 inches.

Answer:

Step-by-step explanation:

1 hour =$50

2hour=$100

3hour=$150

4hour=$200

5hour=$250

6hour=$300

rate of change is $300 a week if they work 6 hours

hope this helps, have a good day!

Answer:

C . what is the total interest.

Step-by-step explanation:

Answer:

I think its the first one

Step-by-step explanation:

you first subtract 2

the next one you subtract 1

then 0

then - 1

Answer:

\(y =\dfrac{4}{5} x\)

Step-by-step explanation:

From the table, note that for \(x\in(0, \infty)\) we have \(x> y\), on the other hand for \(x\in(-\infty, 0)\) we have \(x < y\).

Considering the basic case \(x = 0\), we conclude \(y = 0 \iff x = 0\), thus \(y = x- 2\) is not an option.

Also, once the domain and range have the same signal, \($y =-\frac{5}{4} x$\) can't be an option as well.

Finally, taking \(x = 10 \implies y=8\), testing the two remaining cases

\($y =\frac{5}{4} x \implies y=\frac{5}{4} \cdot 10 \implies y = 12.5$\)

\($y =\frac{4}{5} x \implies y=\frac{4}{5} \cdot 10 \implies y=8$\)

The function is \(y =\dfrac{4}{5} x\)

Answer:

17

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

(33*2) +x^2 = 98

66+x^2 =98

x^2=32

x=16 ft

The answers are A) Reasonable domain to plot the growth function = [0, 9] B) y-intercept of the graph of the function f(m) represent initial length of fish = 5 cm and C) average rate of change of the function f(m) from m

is (3.84/8)

A function is defined as a relation between a set of inputs having one output each.

Given that, A marine biologist is studying the growth of a particular species of fish when the marine biologist concluded her study, the length of the fish was approximately 9.19 cm

A) For m = 0

f(0) = 5(1.07)⁰ = 5 cm

The length of the fish was approximately 9.19 cm.

m = 9

Domain = [0, 9]

Reasonable domain to plot the growth function = [0, 9]

B) y-intercept of the graph of the function f(m) represent initial length of fish = 5 cm

C) average rate of change of the function f(m) from m = 1 to m = 9

For m = 1

f(1) = 5(1.07) = 5.35 cm

For m = 9

f(9) = 5(1.07)⁹ = 9.19 cm

Change in 9 - 1 = 8 months = 9.19 - 5.35 = 3.84 cm

average rate of change of the function f(m) from m = 1 to m = 9,

= (3.84/8)

= 0.48 cm per month

Hence, The answers are A) Reasonable domain to plot the growth function = [0, 9] B) y-intercept of the graph of the function f(m) represent initial length of fish = 5 cm and C) average rate of change of the function f(m) from m is (3.84/8)

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Answer:

C: x-3

Step-by-step explanation:

3 less go last

x would go first

and less is the minus sign

The expression for how many birthday parties Pia has this June if she had one more birthday party than her brother.

'A variable in Mathematics is defined as the alphabetic character that expresses a numerical value or a number.'

According to the given problem,

For the first three options, we do not need a variable because all the values are given.

For option A - Abe will make $(15 × 3) by working for 3 hours.

For option B - Cody will have (9 - 4) pencils left.

For option C - Total number of cakes are (1 + 3)

But, for option D - We do not know the number of parties Pia's brother has attended.

Therefore, we can assume x to be the number of parties Pia's brother has attended. Pia will attend (x + 1) parties. We can solve for the variable x to find out the number of parties Pia and her brother has attended.

Hence, we can conclude that expression for option D requires a variable.

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Answer:

the answer is 0.4

Step-by-step explanation:

Answer:

100 = 0.0046%

100 is equivalent to 0.0046