P(x)=1/5x-2x^2-5x^4-4
Into standard form
Show all work
Answer should be -5x^4-2x^2+1/5x-4
URGENT

Answer:

You need to look at the graph and find an ordered pair.  Once you find an ordered pair divide the x value by the y value to get the unit rate.

Step-by-step explanation:

Answer: |81-x|<5

Step-by-step explanation:

Given: Temperature of an enclosure for a pet corn snake should be an average of 81° F.

Temperature in the enclosure should not vary by more than 5° F.

Let x= Temperature in the enclosure

Then, difference between average and current temperature should less the 5.

i.e. |81-x|<5     (required absolute value equation  )

hence, the absolute value equation could be used to determine the minimum and maximum temperatures recommended for the corn snake enclosure:

|81-x|<5

Using absolute value, it is found that the equation that could be used to determine the minimum and maximum temperatures recommended for the corn snake enclosure is:

\(|T - 81| = 5\)

\(|x| = x, x \geq 0\)

\(|x| = -x, x < 0\)

In this problem, the temperature T should be within 5º F of 81ºF, hence, the absolute value of the difference between T and 81 should be of 5, that is:

\(|T - 81| = 5\)

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Answer:

a

Step-by-step explanation:

True, the 95% confidence interval suggests that there is a high likelihood (about 80 out of 100 intervals) that the true population proportion of union members in favor of the proposed management union contract falls between 0.78 and 0.82.

The confidence interval estimated for the population proportion of union members in favor of the proposed management union contract was between 0.78 and 0.82, with a confidence level of 95%.

The confidence level represents the probability that the interval contains the true population parameter.

In this case, with a confidence level of 95%, it means that if we were to repeat the survey and construct 100 similar confidence intervals, approximately 95 of those intervals would contain the true population proportion.

Therefore, when it is stated that "about 80 out of 100 similarly constructed intervals would include the population proportion," it means that the estimated confidence interval aligns with the confidence level of 95%, indicating that approximately 80% of those intervals would contain the true population proportion.

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Answer:

Step-by-step explanation:

Answer:

C) SSA Similarity Theorem

Step-by-step explanation:

The SAS Similarity Theorem asserts that if two sides of one triangle are proportionate to two sides of another triangle, and both triangles' included angles are congruent, the two triangles are similar.

Answer:

hi

Step-by-step explanation:

84⁰+103⁰+120⁰=307⁰

360⁰-307⁰=53⁰

x is 53⁰

have a nice day

Answer:

x=53

Step-by-step explanation:

A quadrilateral has four sides, four vertices and its  interior angles that add to 360 degrees:.

360 -120-103-84-= x

360-307 = x

53 = x

Answer: The slope of a perpendicular line will be m = 3/2. To find the perpendicular gradient take the negative inverse of the original gradient.

Step-by-step explanation:

The slope of a perpendicular line will be m = 3/2. To find the perpendicular gradient take the negative inverse of the original gradient.

By 'negative inverse' I mean change the sign and switch the numerator and denominator (the top and bottom of the fraction).

The original gradient there is m = - 2/3. Remember the line equation: y = mx + c.

To gain the perpendicular gradient change the - to +, move the 3 to the top and the 2 to the bottom. Now m = + 3 / 2 = 3/2

Answer:

The perimeter of the figure will be 62.8 or B

Step-by-step explanation:

1) The radius is 10

2) Perimeter basically means circumference

3) The formula for circumference is 2πr

4) 2π*10

5)2*pi=6.28*10=62.8

The function f(x) = e^x are considered to be exponential functions, which model a relationship in which a constant change in the independent variable gives the same proportional change.

The correlation between daily calorie intake and weight is likely to be positive.

Based on the general understanding of the relationship between calorie intake and weight, it is likely that there is a positive correlation between these two variables. Keep in mind that other factors, such as exercise and metabolism, can influence this relationship, but in general, a higher calorie intake is associated with a higher body weight. The correlation between daily calorie intake and weight is likely to be positive. This means that as the daily calorie intake increases, weight is also expected to increase. Conversely, if the daily calorie intake decreases, weight may decrease as well. Keep in mind that other factors, such as exercise and metabolism, can influence this relationship, but in general, a higher calorie intake is associated with a higher body weight.

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am I supposed to do the picture one or the you type

The amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

In the question, we are informed that the triangle KLM, represents a section of a park set aside for picnic tables. We are also informed that the picnic area will take up approximately 400 square yards of the park.

We are asked for the amount of fencing needed to surround the perimeter of the picnic area of the park.

We know the area of a triangle can be found using the trigonometric area formula, Area = (1/2)ab sin C.

Using this in the given triangle KLM, we get:

Area = (1/2)(KL)(KM)(sin K),

or, 400 = (1/2)(KL)(45)(sin 25°),

or, KL = (400*2)/(45*sin 25°) = 800/(45*0.42262) = 800/19.017822 = 42.0658 ≈ 42 yd.

Thus, we get KL = 42 yards.

Now, the perimeter of the picnic area = the perimeter of the triangle KLM = KL + LM + MK = 42 + 20 + 45 yards = 107 yards.

Thus, the amount of fencing needed to surround the perimeter of the picnic area of the park is 107 yards. Hence, the second option is the right choice.

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Answer: b

Step-by-step explanation:

The area of the irregular figure will be equal to the sum of area of triangle and the area of the rectangle.

The required area can be determined as,

Thus, the required area of the irregular figure is 426 square feet.

Answer:

\( {2m}^{2} - 3 + m\)

Answer:

извините, у меня нет ответа

Answer:

answer is c

Step-by-step explanation:

The explicit formula for f^-1 is (x-3)^(1/4) and this is obtained by switching the roles of x and y and solving for y in terms of x.

To find the inverse function of f(x)=x^4+3, we need to switch the roles of x and y, and solve for y.
Let y = x^4+3
Subtract 3 from both sides to get:
y - 3 = x^4
Take the fourth root of both sides to isolate x:
(x^4)^(1/4) = (y-3)^(1/4)
Simplify:
x = (y-3)^(1/4)
So the inverse function of f(x) is:
f^-1 (x) = (x-3)^(1/4)
This is the explicit formula for the inverse function of f(x).
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Answer:

Maybe 1 out the 10 possibilities

Step-by-step explanation:

I remember learning this a few years back but I'm not 100% sure.

The parameterization of the minor axis is: x = 7/2 + 2sin(t), y = -6

Given equation is: 16x² + 25y² + 300y + 1248 = 224x(i)

To find the vertices and co-vertices of the ellipse, we need to convert the given equation to standard form: x²/a² + y²/b² = 1Comparing this standard form with equation (i), we get: (16x² - 224x) + (25y² + 300y) = -1248Completing the square for x terms, we get:(16(x - 7/2)² - 49) + (25(y + 6)² - 625) = -1248(16(x - 7/2)² + 25(y + 6)²) = 192(2(x - 7/2)² + 3(y + 6)²) = 12Simplifying, we get: [(x - 7/2)²/9] + [(y + 6)²/4] = 1

Hence, a² = 9 and b² = 4The center of the ellipse is (h, k) = (7/2, -6)The distance of the foci from the center is given by c² = a² - b²= 9 - 4= 5c = √5The coordinates of the foci are (h + c, k) and (h - c, k) =(7/2 + √5, -6) and (7/2 - √5, -6)The coordinates of the vertices are (h ± a, k) and (h, k ± b) =(7/2 + 3, -6) and (7/2 - 3, -6) and (7/2, -6 + 2) and (7/2, -6 - 2)=(15/2, -6) and (3/2, -6) and (7/2, -4) and (7/2, -8)

Hence, the vertices are (15/2, -6) and (3/2, -6) and the co-vertices are (7/2, -4) and (7/2, -8).(ii) The parameterization of the ellipse in the anti-clockwise direction is: x = 7/2 + 3cos(t), y = -6 + 2sin(t)The parameterization of the ellipse in the clockwise direction is: x = 7/2 + 3sin(t), y = -6 + 2cos(t)(iii) The endpoints of the major axis are the vertices of the ellipse. Hence, the parameterization of the major axis is: x = 7/2 + 3cos(t), y = -6(iv) The endpoints of the minor axis are the co-vertices of the ellipse.

Hence, the parameterization of the minor axis is: x = 7/2 + 2sin(t), y = -6

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Answer:

where is the table

Step-by-step explanation:

Answer:

Width x length

Step-by-step explanation:

Find the width or how wide it is

Then find the length or how long it is

multiply those

Work Shown:

2 cm : 50 miles

3*(2 cm) : 3*(50 miles)

6 cm : 150 miles

Answer: the height of the hockey puck is approximately 0.835 inches.

Step-by-step explanation: The formula for determining the volume of a cylinder is as follows:

The formula for the volume (V) of a cylinder can be expressed mathematically as V = πr2h, where r represents the radius of the cylinder's base and h represents the height of the cylinder. This formula is derived from the concept that the volume of a cylinder can be calculated by multiplying the area of its base (which is represented by the term πr2) by its height (h).

The present study utilizes the conventional nomenclature in which V denotes the volume, r represents the radius, and h stands for the height.

As the diameter of the hockey puck is measured to be 3 inches, it follows that the radius is equivalently calculated as 1.5 inches, or precisely half of the diameter.

It is established that the hockey puck has a volume of 7.1 cubic inches; accordingly, by substituting these known values into the relevant formula and performing the appropriate calculations, the measurement of h may be ascertained.

The expression 7.1 = π(1.5)^2h can be reformulated in a more academic manner. It can be said that the equation represents the mathematical relationship between the volume of a cylinder and its dimensions, wherein the value of 7.1 denotes the volume of the cylinder, whereas π, 1.5, and h refer to the mathematical constants of pi, radius, and height, respectively. Thus, the formula can be expressed as V = πr^2h, where V represents the volume of the cylinder, r denotes the radius, and h denotes the height.

The process of reducing something to its simplest form. Rewritten: The act of simplification involves distilling a concept or idea to its most basic, essential components. This process aims to facilitate a clear and concise understanding of the subject matter, allowing for greater comprehension and ease of communication.

The numerical expression 7.1 = 2.25πh can be written in a more formal and academic manner. Specifically, the equation can be rephrased as an algebraic relationship between the variables involved. More concisely, the equation describes the result of a multiplication between the constant factor 2.25π and the variable h, which according to the equation equals 7.1. As such, it can be represented by the following expression: 2.25πh = 7.1

Dividing each side by 2.25π is a logical mathematical operation utilized to simplify an equation or expression.

The aforementioned equation may be expressed in an academic tone as follows: The value of h is equivalent to the quotient obtained from dividing 7.1 by 2.25 times the mathematical constant π.

The employment of a calculator to compute the aforementioned expression:

The observed value of h is approximately equal to 0.835 inches.

The probability of the restaurant in town 4 having a sandwich as it is top selling menu item is 6.24% is 0.2529.

Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value. To forecast how likely occurrences are to occur, probability has been introduced in mathematics.

The sum of probabilities of all non vegetarian sandwiches that is

= 5.86% + 6.54% + 6.24% + 6.33% = 24.67%

The probability of the restaurant in town 4 having a sandwich as it is top selling menu item is 6.24%.

Probability = 0.064/0.2467

                  = 0.2529

Hence the probability is 0.2529

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Declan's reasoning does make sense. This is because 3/4 and 1/2 have the same denominator, and 3/4 is a larger fraction than 1/2.

Therefore, it is reasonable to assume that 3/4 is greater than 6/12 because 6/12 simplifies to 1/2. Simplifying fractions means dividing the numerator and denominator by the same number, in this case, 6 is divisible by 2, so we can reduce the fraction to 1/2.

So, Declan is correct in his reasoning that 3/4 is greater than 6/12. It is important to understand the relationship between fractions and their denominators to make such comparisons accurately.

3/4 = 9/12

1/2 = 6/12

6/12 = 6/12

Since 9/12 (which is equivalent to 3/4) is greater than 6/12 (which is equivalent to 1/2), we can say that 3/4 is indeed greater than 6/12.

Therefore, Declan's reasoning is correct.

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The equation in slope-intercept form to predict cable TV costs in the future is C = 1.10t + 13

To write an equation in slope-intercept form to predict cable TV costs in the future, we can use the given information:

Since 1990, the average monthly price for basic cable TV programming in a particular region was approximately $13, and the cost has risen by about $1.10 a year.

Let's break down the information:

The initial cost in 1990 is $13.

The cost increases by $1.10 per year.

We can use these values to write the equation in slope-intercept form, which is in the form: y = mx + b, where "y" represents the dependent variable (average basic monthly cost), "x" represents the independent variable (time in years after 1990), "m" represents the slope, and "b" represents the y-intercept.

In this case, we have:

y = mx + b

The initial cost in 1990 (b) is $13, so the y-intercept is 13.

The cost increases by $1.10 per year, so the slope (m) is 1.10.

Therefore, the equation in slope-intercept form to predict cable TV costs in the future is:

C = 1.10t + 13

Where:

C represents the average basic monthly cost,

t represents the time in years after 1990.

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Answer:

24+48+10+14+4=100

10+4=14

14/100, or 7/50 chance

Step-by-step explanation:

Experimental probability is the result of an individual experiment, not theoretical probability