(1 point) Let f(x)=8x3−1f(x)=8x3−1. Find the open intervals on which ff is increasing (decreasing). Then determine the xx-coordinates of all relative maxima (minima). 1. ff is increasing on the intervals 2. ff is decreasing on the intervals 3. The relative maxima of ff occur at xx = 4. The relative minima of ff occur at xx =Notes: In the first two, your answer should either be a single interval, such as (0,1), a comma separated list of intervals, such as (-inf, 2), (3,4), or the word "none". In the last two, your answer should be a comma separated list of xx values or the word "none".

Answer:

money market, savings account, and term CD.

Step-by-step explanation:

2100×.12×3=1344 2800×.04×3=2464 and 2520x.05×3=2142

Answer:

1.) $2,520 in a savings account that yields

interest of 5% per year.

2.) $2,100 in a money market account that

yields 12% per year.

3.) $2,800 in a term CD that yields interest of

4% per year.

This answer is the correct, I just got done doing this question my second time.

The answer is 310.93, rounded to the nearest hundredth. Hope this helps!

Let ABC be the given triangle. We can construct two triangles PAB and PBC such that they share the same height from P to AB and P to BC, respectively. We can label the side lengths of PAB and PBC as x and y, respectively. The total area of the triangle ABC is the sum of the areas of PAB and PBC:

Area_ABC = Area_PAB + Area_PBC We can write the area of each of the sub-triangles in terms of x and y by using the formula for the area of a triangle: Area_PAB = (1/2)(12)(x) = 6xArea_PBC = (1/2)(15)(y) = (15/2)y Setting the areas equal to each other and solving for y yields: y = (4/5)x Substituting this into the equation for the area of PBC yields:

Area_PBC = (1/2)(15/2)x = (15/4)x The area of ABC can also be written in terms of x by using the formula: Area_ABC = (1/2)(AB)(PQ) = (1/2)(12)(PQ) + (1/2)(15)(PQ) = (9/2)(PQ) Setting the areas equal to each other yields:(9/2)(PQ) = 6x + (15/4)x(9/2)(PQ) = (33/4)x(9/2)(PQ)/(33/4) = x(6/11)PQ = x(6/11)Thus, we can see that the longest possible integer length of the third altitude is $\boxed{66}$.

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The given number 0.669429565254154... is a terminating decimal so it will be a rational number.

Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.

In another word, irrational numbers are those numbers that can not terminate.

For example, √2, and √3 are irrational numbers because they cannot be written as p/q where p and q both should be integers.

Given the number

0.669429565254154...

The number after the decimal place is not repeating so it will end somewhere which means it can be written in form of p/q.

So the number will be rational.

Hence "The given number 0.669429565254154... is a terminating decimal so it will be a rational number".

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Answer:

The answer to this is x  =  - y / 2

Step-by-step explanation:

The side of a larger cube is equal to 12 ft meanwhile the side of a small cube is equal to 4 ft.

A cube is a 3D- form of a square and its volume is found in the formula:

V=s³, where: s is the length of each side of a cube.

If the small cube has a volume (\(V_s\)) of 64 ft³, you can apply the formula V=s³ for finding its the length of its sides. Thus

\(V_s\)=64 ft³

\(s_v^3\)=64

\(s_v=\sqrt[3]{64}\\ \\ s_v=4 ft\)

A larger cube has sides (\(s_l\)) that are three times as long as the small cube. Therefore, \(s_l=3s_v\). If \(s_v\)=4 ft, the \(s_l\) will be:

\(s_l=3s_v\\ \\ s_l=3*4\\ \\ s_l=12 ft\)

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Answer: 3.60

Step-by-step explanation:

Just multiply 1.80 *2 because the number of lemons are doubled.

Answer:

8y

Step-by-step explanation:

the additive inverse of -8y is 8y, because -8y + (8y) = 0

Answer:

y = -2

Step-by-step explanation:

y-intercept is the point of y at which x is zero

so it is (0,-2) when y= -2

Hope it helps!

Answer:

21

Step-by-step explanation:

there are 7 students and 3 prizes so all you needed to do was multiply 3 by 7 or 7 by 3.

Answer:

35 different ways!

Step-by-step explanation:

7! / 3! * (4!)

If you know combinations and permutations, then the above formula will make sense.

Since this question is asking for all possible combinations, it's this formula if you don't know it:

n! / r! (n - r)!

n is the total number of things, which in this case are people. So, we get 7 and r is the set amount of the things used at a time which is 3... because out of 7 people only 3 can win gift cards.

Hope this helps!

Answer: 5

Step-by-step explanation: This equation appears in the Slope-Intercept form, which is Y=Mx+B. In which Y is the coordinate, M is the slope, X is the coordinate and B is the Y-Intercept, or where the line passes the Y-Axis.

Answer: the slope of this equation is 5

Step-by-step explanation: the term "5x" represents the slope of this equation.

slope-intercept form: y = mx + b

m = slope

b = y-intercept

In this case, the likelihood function is the product of the Poisson probability mass function evaluated at each data point in the training data. To compute the log-likelihood, we take the natural logarithm of this product. To maximize the log-likelihood function, we take the derivative of it with respect to the parameter and set it equal to zero. Solving for the parameter gives us the maximum likelihood estimate.

To help you with your question, let's go through the process of using maximum likelihood estimation (MLE) for a Poisson distribution step by step.

1. Given training data drawn from a Poisson distribution, we have the probability mass function (PMF) as:
P(X=k) = (λ^k * e^(-λ)) / k!, where k is a non-negative integer and λ is the parameter we want to estimate.

2. The likelihood function, which is the joint probability of obtaining the sample given the model, is the product of individual probabilities:
L(λ) = Π P(X_i=k_i), for i = 1 to n, where n is the number of data points.

3. For MLE, we compute the log-likelihood function, which is the natural logarithm of the likelihood function:
log(L(λ)) = Σ log(P(X_i=k_i)), for i = 1 to n.

4. Plugging in the PMF, the log-likelihood becomes:
log(L(λ)) = Σ [k_i * log(λ) - λ - log(k_i!)], for i = 1 to n.

5. To maximize the log-likelihood function, we take its derivative with respect to λ and set it to 0:
d(log(L(λ))) / dλ = Σ [k_i/λ - 1] = 0.

6. Solve for the MLE estimate of λ:
λ_MLE = Σ k_i / n, where n is the number of data points.

The resulting estimate for λ, λ_MLE, is in accordance with the definition of λ in a Poisson distribution, as it represents the average number of events in the sample. The resulting estimate for the Poisson distribution parameter is the sample mean of the training data. This is in accordance with the definition of the Poisson distribution, where the mean and variance are equal to the parameter lambda.

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The thief stole 22 oranges using algebraic equations.

To solve this problem, we need to use algebra. Let x be the number of oranges the thief stole.

According to the problem, the thief gave the guard half of the stolen oranges and two more. This means that he gave away (1/2)x + 2 oranges.

We also know that the thief was left with only 9 oranges. So we can set up the equation:

x - [(1/2)x + 2] = 9

Simplifying this equation:

(1/2)x - 2 = 9
(1/2)x = 11
x = 22

Therefore, the thief stole 22 oranges.

The problem presents us with a scenario where a thief entered an orange garden and stole some oranges. However, he was caught by the guard. In order to get rid of the guard, the thief decided to give him half of the stolen oranges and two more. As a result, the thief was left with only 9 oranges.

To solve this problem, we used algebraic equations. We let x be the number of oranges the thief stole. We also knew that the thief gave away (1/2)x + 2 oranges to the guard. Using this information, we were able to set up an equation where x - [(1/2)x + 2] = 9. Simplifying the equation, we were left with (1/2)x - 2 = 9. Solving for x, we found that the thief had stolen 22 oranges.

In conclusion, algebraic equations are a useful tool in solving mathematical problems. By setting up an equation and simplifying it, we were able to determine the number of oranges that the thief had stolen.

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Answer: B sorry if I am wrong

Step-by-step explanation:

Answer:

1 × 7 is 7, 7 ×3 is 21

Step-by-step explanation: if this isn't what you meant then tell me, and ill tell you the answer

Answer:

The first study was an observational study whereas the second was a controlled experiment.

I just took the test and it was right.

The first study was an observational study whereas the second was a controlled experiment.

Study is the devotion of time and attention to gaining knowledge of an academic subject, especially by means of books.

Here, given that,

In one study on the effect of coconut oil on hair growth, 140 subjects who acknowledged being long-time coconut oil users had their hair growth compared with those of 140 people who had never used coconut oil.

In a second study, 80 subjects were randomly chosen to use coconut oil and 80 were chosen to use a placebo.

Hence, The first study was an observational study whereas the second was a controlled experiment.

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Answer:11.25

Step-by-step explanation: first subtract 12 from both sides then you would have 3.2x=36

and then divide both sides by 3.2 which is x=11.25

Answer: x=11.25

Step-by-step explanation: 48-12> 36> 3.2x=36> divide 36 by 3.2> x= 11.25

Hope this helped

Answer:

cant see it

Step-by-step explanation:

can you flip it pls

After establishing a correlation, a researcher can use a regression equation to predict the dependent variable from the independent variable.

Once a reasonably high correlation between two variables has been established, a researcher can employ a regression equation to make predictions about the dependent variable based on the independent variable. Regression analysis allows for the estimation of the relationship between the variables and provides a mathematical model that describes this relationship.

By utilizing the regression equation, the researcher can input values of the independent variable to obtain predicted values of the dependent variable. This enables the researcher to make informed predictions or projections regarding the behavior or outcome of the dependent variable.

However, it is important to consider the limitations and assumptions of the regression model when interpreting and applying the predictions obtained from the equation.

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Answer:

3/7 (simplified)

Step-by-step explanation:

The original answer would be 6/14 because 6 out of 14 people said tennis. However, you divide both by 2 to get 3/7. The percent would be 42% if that is needed.

Answer:

17.y=-x+12

18.y=-1/4x+7

Step-by-step explanation:

17.a Solve for y (y=-5+x)

17. b Reciprocal (y=-1x-5)

17. c Subsitute equation into (8,-1) (-1=-13=y=x+12)

18.a Subtract y values and x values= (6-4)/(4-12)=2/-8=-1/4, this will be your slope

18. b Plug in -1/4 into either of the two ordered pairs to find y value=(12,4)=(4=-3)=y value=7.

18. c=y=-1/4x+7

Answer:

(-3,1)

Step-by-step explanation:

The value of x \(\frac{-9+3}{2}\) = -3

The value of y \(\frac{4-2}{2}\) = 1

Answer:

Mid point is (-3, 1)

Step-by-step explanation:

Let mid point be M

\( { \boxed{ \sf{m = ( \frac{x _{1} + x _{2} }{2}} , \: \frac{y _{1} + y _{2}}{2}) }} \\ \\ { \tt{m = ( \frac{ - 9 + 3}{2} , \: \frac{4 - 2}{2} )}} \\ \\ { \tt{m = ( \frac{ - 6}{2}, \: \frac{2}{2} ) }} \\ \\ { \tt{m = ( - 3, \: 1)}}\)

Answer:

22.5

Step-by-step explanation:

first of all, the first sign in the designations of the triangles is not an A. it is the Greek Delta (capital) sign. standing for "triangle" due to its shape.

as the diagram shows (and the description says correctly), ADL and AKM are similar triangles.

that means they have the same angles.

and in order to keep the same angles even when the lengths of the sides are different, the relative relation of the side lengths must be the same for all sides.

that means, if one side changes by a factor f, then both other sides must change by the same factor.

so, by checking the change factor for AD (to AK), we can then determine the change of AL to AM. and then we simply subtract AL from AM and get LM.

the original AD = 14.

AK = AD + DK = 14 + 21 = 35

the change factor f is then AK/AD = 35/14 = 5/2

in other words AD grew by a factor of 5/2.

AM is then created by applying the same factor to AL.

=> AM = 15 * 5 / 2 = 75 / 2 = 37.5

=> LM = AM - AL = 37.5 - 15 = 22.5

Step-by-step explanation:

intindihin nyo na lang.

The expression √75x³y in radical form is 5x√(3xy).

The given expression is √75x³y

Square root of seventy five times of x cube times of y

We have to write in radical form

We can simplify √75x³y as follows:

√75x³y

= √(25×3×x²×x×y)

= 5x√(3xy)

Therefore, the expression √75x³y in radical form is 5x√(3xy).

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Answer:

Independent: videos rented; Dependent: total cost; f(v) = 2.5v + 25

Step-by-step explanation:

plz mark as brainliest i tryed my best im sure its right

The value of t such that the area to the left of −|t| plus the area to the right of |t| equals 0.01 is: t = −|t1| + 0.005 = −0.245 (approx)

Let’s consider the value of t such that the area to the left of −|t|−|t| plus the area to the right of |t||t| equals 0.01. Now, we know that the area under the standard normal distribution curve between z = 0 and any positive value of z is 0.5. Also, the total area under the standard normal distribution curve is 1.Using this information, we can calculate the value of t such that the area to the left of −|t| is equal to the area to the right of |t|. Let’s call this value of t as t1.So, we have:

Area to the left of −|t1| = 0.5 (since |t1| is positive)
Area to the right of |t1| = 0.5 (since |t1| is positive)

Therefore, the total area between −|t1| and |t1| is 1. We need to find the value of t such that the total area between −|t| and |t| is 0.01. This means that the total area to the left of −|t| is 0.005 and the total area to the right of |t| is also 0.005.

Now, we can calculate the value of t as follows:

Area to the left of −|t1| = 0.5
Area to the left of −|t| = 0.005

Therefore, the area between −|t1| and −|t| is:

Area between −|t1| and −|t| = 0.5 − 0.005 = 0.495

Similarly, the area between |t1| and |t| is:

Area between |t1| and |t| = 1 − 0.495 − 0.005 = 0.5

Area to the right of |t1| = 0.5
Area to the right of |t| = 0.005

Therefore, the value of t such that the area to the left of −|t| plus the area to the right of |t| equals 0.01 is the value of t1 plus the value of t:

−|t1| + |t| = 0.005
2|t1| = 0.5
|t1| = 0.25

Therefore, the value of t such that the area to the left of −|t| plus the area to the right of |t| equals 0.01 is:
t = −|t1| + 0.005 = −0.245 (approx)

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To calculate the number of four-card hands chosen from a standard 52-card deck that contain two cards of one suit and two cards of another suit, we need to consider the following:

1. Selecting the suits: There are 4 suits in a deck (hearts, diamonds, clubs, and spades). We need to choose two suits out of these four.

2. Selecting the two cards of one suit: Once we have chosen the two suits, we need to select two cards from one of the chosen suits. There are 13 cards in each suit, so we can choose 2 cards from the 13 available.

3. Selecting the two cards of another suit: After selecting the first suit, we need to choose two cards from the remaining suit. Again, there are 13 cards to choose from.

To calculate the total number of four-card hands satisfying these conditions, we multiply the number of choices at each step. Therefore, the total number of such hands is:

4C2 * 13C2 * 13C2 = (4! / (2! * 2!)) * (13! / (2! * 11!)) * (13! / (2! * 11!))

= 6 * (13 * 12 / (2 * 1)) * (13 * 12 / (2 * 1))

= 6 * 78 * 78

= 36,432.

Therefore, there are 36,432 four-card hands chosen from a standard 52-card deck that contain two cards of one suit and two cards of another suit.

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