Fortunate Flakes, a popular kid's cereal, has rainbow, moon, sun, and cloud shaped marshmallows in it. A large box contains 150 marshmallows. There is an equal amount of sun and cloud marshmallows. There are three times as many moon marshmallows as there are rainbow marshmallows. There are twice as many rainbow marshmallows as there are sun marshmallows. How many moon marshmallows are there in a large box of Fortunate Flakes?​

Answer:

The third one.. :)

Step-by-step explanation:

Can I have brainliest, please? hee hee

Answer:

the answer should be, A. im pretty good at this kind of thing so It should be right but if not, sorry.

Step-by-step explanation:

Answer:

5.y=5x-10+5x+1

y=10x-9

6.y=2x+12+2x+6

  y=4x+18

7.y=-2x-8-2x+10

 y=-4x+2

8.y=-4x-8-4x-12

  y=-8x-20

Answer:

\(y=-\frac{2}{3}x\)

Step-by-step explanation:

Equation: y=mx+b

we know the slope (m) and so we can write

(-2/3)x+b=y

we need to solve for b

to do this plug in 6 for x and -4 for y

(-2/3)(6)+b= -4

-4+b= -4

b=0

therefore the final answer is just

(-2/3)x

Answer:

Step-by-step explanation:

1. To reach his goal of $900, Gio will need to mow 900 - 250 = 650 dollars worth of lawns. Since each lawn mowing costs 25 dollars, he will need to mow 650 / 25 = 26 lawns.

2. The cost of the lunch meat was 30.25 - 5.25 - 3.25 = 22 dollars. Since there were 3 pounds of lunch meat, the cost per pound was 22 / 3 = 7.33 dollars.

3. Sari wants to create a rectangular dog run space with a width of 8 feet. Since the perimeter of the rectangle is 40 feet, the length of the rectangle must be 40 - 8 - 8 = 24 feet.

4. Let's call the number of batches Siara baked b. Siara's friend gave her 60 biscuits, so the total number of biscuits Siara baked is 360 - 60 = 300 biscuits. Since each batch makes 75 biscuits, Siara baked 300 / 75 = 4 batches.

5. Let's call the number of comic books on each shelf s. The total number of comic books in Jose's collection is 5 * s = 125 + 20 = 145 comic books. Therefore, s = 145 / 5 = 29 comic books. This means there are 29 comic books on each shelf, and Jose has a total of 29 * 5 = <<29*5=145>>145 comic books in his collection.

Answer:

3

Step-by-step explanation:

The fraction of variation in the values of a response variable y that can be explained by the least-squares regression line is represented by the coefficient of determination, usually denoted as R^2.

R^2 is a statistical measure that indicates the proportion of the total variation in the response variable y that is accounted for by the linear relationship with the independent variable(s) used in the regression analysis. It is a value between 0 and 1, where:

- R^2 = 0 implies that the regression line explains none of the variation in y.

- R^2 = 1 implies that the regression line explains all of the variation in y.

In other words, R^2 represents the goodness-of-fit of the regression model. It indicates the strength of the linear relationship and how well the model fits the observed data.

To calculate R^2, it is necessary to perform a regression analysis and obtain the sum of squares for the regression (SSR) and the total sum of squares (SST). The formula for calculating R^2 is:

R^2 = SSR / SST

Where:

- SSR is the sum of squares for the regression (explained variation).

- SST is the total sum of squares (total variation).

R^2 provides valuable insight into the explanatory power of the regression model. It helps determine the proportion of the response variable's variation that can be attributed to the independent variable(s) considered in the analysis.

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There are 5040 possible combination of 7 letter words using 3 vowels and 4 consonants.

We know that the word must have 4 consonants and 3 vowels. We have the following vowels in "mathisfun" : i, a, and u.

We have 7 letters that can be used as consonants: m,t,h,s,f,n.

First we need to find the number of ways to choose the 4 consonants out of 7 possible letters, which is 7C4 = 35.

Then we need to find the number of ways to arrange the 4 consonants and 3 vowels, which is 4!*3! = 144

Finally, we multiply those two values together: 35 * 144 = 5040.

So there are 5040 7 letter words that can be made from "mathisfun" if each word must have 4 consonants and 3 vowels.

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To differentiate F(y) = 1/ y^2 − 9 /y^4 (y + 5y^3), we need to use the quotient rule of differentiation. Your answer: F'(y) = -2y^(-3) - (12y^(-5) + 60y^(-2))(y + 5y^3)

The quotient rule states that the derivative of a quotient of functions is equal to the numerator's derivative multiplied by the denominator minus the denominator's derivative multiplied by the numerator, all divided by the denominator squared.

Using this rule, we can find the derivative of F(y) as follows:

F'(y) = [(d/dy) (1/ y^2) * (y^4(y + 5y^3)) - (d/dy) (y^4(y + 5y^3)) * (1/ y^2)] / (y^4(y + 5y^3))^2

Simplifying this expression, we get:

F'(y) = [(-2y^3(y + 5y^3))/(y^4(y + 5y^3))^2 - (y^4(1 + 15y^2))/(y^2(y^4(y + 5y^3))^2)]

= [(-2y^3(y + 5y^3)) - (y^4(1 + 15y^2))] / (y^6(y + 5y^3))^2

= (-2y^4 - 10y^6 - y^4 - 15y^6) / (y^6(y + 5y^3))^2

= (-3y^4 - 25y^6) / (y^6(y + 5y^3))^2

Therefore, the derivative of F(y) is F'(y) = (-3y^4 - 25y^6) / (y^6(y + 5y^3))^2.
To differentiate the function F(y) = 1/y^2 - 9/y^4 (y + 5y^3), you can apply the power rule and the chain rule.

Your answer: F'(y) = -2y^(-3) - (12y^(-5) + 60y^(-2))(y + 5y^3)

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Arctan or tan-1 are used to denote the inverse of Tangent.

The ratio of the perpendicular of the triangle and the base of the triangle with respect to the required angle is know as the tangent of the angle. Specifically, tan = (opposite side) / (adjacent side). The inverse tan formula is thus = tan-1[(opposite side) / (adjacent side)] according to the definition of inverse tan.

The reciprocal of the tangent is the cotangent. It is basically just the reciprocal of the tangent, it means that it can be written as the ratio of the base to the perpendicular.

Arccosine is another name for inverse cosine. It is the cos function's opposite. Also known as "arccos," occasionally. When two sides of a right triangle's length are known, it is used to measure the unknown angle.

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First image -Right triangle(One angle is 90 degrees)

Second image-Isosceles triangle(Two equal sides and two equal angles).

The correct option is; 4: this contradicts the Mean Value Theorem since there exists a c on (1, 7) such that f '(c) = f(7) − f(1) (7 − 1) , but f is not continuous at x = 3.

The function being used is;

f(x) = (x - 3)⁻²

If we separate this function according to x, we obtain;

f'(x) = -2/(x - 3)³

Finding all c values f(7) − f(1) = f '(c)(7 − 1).is our goal.

This suggests that;

0.06 - 0.25 = -2/(c - 3)³ x 6

-0.19 =  -12/(c - 3)³

(c - 3)³ = 63.157

c = 6.98

If the Mean Value Theorem holds for this function, then f must be continuous on [1,7] and differentiable on (1,7).

But when x = 3, f is not continuous, hence the Mean Value Theorem's prediction is false.

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The complete question is-

Let f(x) = (x − 3)−2. Find all values of c in (1, 7) such that f(7) − f(1) = f '(c)(7 − 1). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) c = Based off of this information, what conclusions can be made about the Mean Value Theorem?

Prior to placing an order to buy ABCD stock at a lower price, the investment adviser must conduct thorough research and analysis, set a target price, and determine an appropriate entry point for the purchase.

The investment adviser's primary responsibility is to act in the best interest of their client and make informed investment decisions. In this case, where the adviser believes ABCD stock is appropriate only if the price falls to $35 per share, several steps need to be taken before placing an order.

Firstly, the adviser should conduct comprehensive research on ABCD stock to understand its historical performance, financial health, industry trends, and any relevant news or events that might impact its future prospects. This research will help validate the adviser's belief that the stock is worth considering at a lower price.

Secondly, the adviser should establish a target price of $35 per share based on their analysis and the client's investment objectives. This target price serves as a reference point and provides a clear criterion for initiating the purchase.

Lastly, the adviser needs to identify an appropriate entry point for the purchase. This involves monitoring the stock's price movements and market conditions closely. The adviser may choose to set a limit order at $35 per share or implement a strategy to take advantage of potential price declines, such as dollar-cost averaging.

By following these steps, the investment adviser ensures that they have thoroughly evaluated the investment opportunity and have a plan in place before placing an order to buy ABCD stock for the client's account.

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You write f (-2) = 3 as (-2, 3) and f (5) = 7 as (5, 7).

The answer for the graph is \(\mathbf{\frac{4}{3}}\textbf{\textit{x}}\mathbf{+\frac{1}{3}}\).

a straight line is 180° so:

x+2/3x=180

multiply everything with 3 so that you'll looser the denominator:

3x+2x=540

5x=540

x=540:5

x=108

(2/3x= 72)

Answer:

x=35/78

Step-by-step explanation:

3/2x-11/5=(7/8)*(64/49)

3/2x-11/5=8/7

3/2x=8/7+11/5

3/2x=117/35

x=(35*3)/(2*117)

x=35/78

The length of the base edge of the square pyramid is 6 feet.

The surface area of a square pyramid is 96 square feet. The height is two thirds of the length of the base edge.

The length of the base edge can be found as follows:

Hence,

surface area of square pyramid = a² + 2al

where

Therefore,

using Pythagoras's theorem, let find the slant height of the pyramid.

c² = a² + b²

where

Hence,

height = 2 / 3 a

Therefore,

l² = (2 / 3 a)² + (1 / 2a )²

l² = 4 / 9 a² + 1 / 4 a²

l² = 25 / 36 a²

square root both sides

l = 5 / 6 a

Hence,

surface area of square pyramid = a² + 2a(5 / 6 a)

surface area of square pyramid = a² + 10 / 6 a²

surface area of square pyramid = 16 / 6 a²

96 = 16 / 6 a²

96 = 8 / 3 a²

cross multiply

96 × 3 = 8a²

288 / 8 = a²

a² = 36

a = √36

a = 6 feet

Therefore, the base length is 6 feet.

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Answer:

He added $25 to the contents of his wallet.

Step-by-step explanation:

Here's what's happening, symbolically:

$6 + m = $31, or m = $25.  Jake added $25 (represented by m) to the contents of his wallet.

Answer:

f(-4)=85

Step-by-step explanation:

Given function

f(x)= 2x^2-10x+13

Now put x= -4, We get

f(-4)=2(-4)^2-10(-4)+13

f(-4)=2(16)+40+13

f(-4)=32+53

f(-4)=85

9514 1404 393

Answer:

  15.71 units

Step-by-step explanation:

The arc length is given by the formula ...

  s = rθ

where r represents the radius, and θ represents the central angle in radians.

The angle of 60° is π/3 radians, so the arc length is ...

  s = 15(π/3) = 5π ≈ 15.71 . . . units

  LN ≈ 15.71 units

__

Note: if you use 3.14 for π, you will get 15.70.

The digit in the ones place of 2^90 is 4. The pattern of the digits in the ones place for powers of 2 follows a repeating cycle of 0, 2, 4, 6, 8, 0, 2, 4, 6, 8 and so on.

The digit in the ones place of 2^88 is 6 because the last digit of 2^88 is 6. The pattern of the digits in the ones place for powers of 2 is 0, 2, 4, 6, 8, 0, 2, 4, 6, 8, etc. Therefore, the digit in the ones place of 2^90 is 4 since the pattern starts over again at 0 after 8.

The pattern of the digits in the ones place for powers of 2 follows a repeating cycle of 0, 2, 4, 6, 8, 0, 2, 4, 6, 8 and so on. This pattern is a result of the fact that 2^n is divisible by 10 for all integers n greater than or equal to 0. Since 10 is divisible by 10, the remainder of 2^n divided by 10 will always be the same for certain powers of 2. The remainder for 2^0 is 0, 2^2 is 4, 2^4 is 6, 2^6 is 8 and 2^8 is 0. This pattern then repeats with 2^10 being 2 and so on. Therefore, the digit in the ones place of 2^90 is 4, since the pattern starts over again at 0 after 8.

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Answer:

Step-by-step explanation:

The product of a negative two and a positive three is equal to negative six (-6).

a. To represent the value of the house t years after the house was purchased, we can use the formula for compound interest:

Value = Principal * (1 + Rate)^Time

In this case, the principal (P) is the initial purchase price of the house, which is $135,000.

The rate (R) is the annual appreciation rate, which is 4% or 0.04. The time (T) is the number of years after the house was purchased.

Therefore, the function to represent the value of the house t years after the purchase is:

Value(t) = $135,000 * (1 + 0.04)^t

b. To find the value of the house in 10 years, we can substitute t = 10 into the function:

Value(10) = $135,000 * (1 + 0.04)^10

Calculating this expression gives us the value of the house after 10 years based on the given rate of appreciation.

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The height of the cylinder is \(3 inch\)

Based on the attached figure,

Volume of the cylinder = 282.7 square inches

Radius of the cylinder =5 inches.

The height of the cylinder = ?

The volume of the cylinder  can be found with the formula as :

\(V=pi r^{2} h\)

\(h=\frac{V}{pi r^{2} } \\\\h = \frac{282.7}{3.142 * 5^{2} } \\\\=3 inch\)

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Answer:

1560

Step-by-step explanation:

25 x 8 x 10 - 22 x 5 x 4 = 2000 - 440 = 1560