The slope of the given equation [tex]y = -5x^5[/tex] is [tex]-25x^4[/tex].
To find the slope of the equation [tex]y = -5x^5[/tex], you need to take the derivative of the equation with respect to x. The slope of the equation represents the rate of change of y with respect to x, that is how y changes as x changes.
The derivative of [tex]y = -5x^5[/tex] can be calculated using the power rule, which states that if f(x) = [tex]x^n[/tex] then f'(x) = [tex]nx^{(n-1)}[/tex], the slope of the equation is [tex]-55x^4[/tex].
So, the slope of the equation [tex]y = -5x^5[/tex] is [tex]-25x^4[/tex].
Here, note that this equation represents a polynomial function of degree 5, which means that it is a function that has the highest power term of [tex]x^5[/tex]. Also, the slope of a polynomial function is always a polynomial function of one degree lower than the original function.
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10. Use the given standard form equation below to calculate its y-intercept form. Fill in the blanks with the correct coefficient.
8x + 4y = 12
y=[ ]x+[ ]
The y intercept equation will be [tex]y=-2x+3[/tex] .A line's x-intercept and y-intercept are the points at which the x- and y-axes, respectively, are crossed.
How can a y-intercept be found?Finding the value of y at x=0 on a graph will reveal the y-intercept. The graph's intersection with the y-axis occurs at this location.
What is the value of the y-intercept?When a straight line is described by the equation "y = mx + b," the slope is the number "m" multiplied on the x, and the y-intercept is "b." (that is, the point where the line crosses the vertical y-axis).
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Limit of (t^4-1/t^3-1) as t approaches 1
Its a bit blurry but i need help asap pls
Answer:
4x/7 = product of 4 times x divided by 7
2x-5 = five subtracted by two times the product of x
2(x+5) = two times the product of x and 5
4x+7 = the product of 4 times x and 7
3/x-2 = the last one (too lazy to type lol)
Hope this helps! :)
Helpppppppppppppppppp plssssssssssss
Answer:
Step-by-step explanation:
watch da help vid
Find the coordiantes of the vertices for the figure after the given transformation
Dilation of 2
Answer:
[tex]I'(-2,-4), J'(-4,4), K'(4,4)[/tex]
Step-by-step explanation:
Assuming the dilation is centered at the origin, it is known that for a dilation of scale factor [tex]k[/tex] centered at the origin, [tex](x,y) \to (kx,ky)[/tex].
You have a $100 game card at Dave & Buster's. You know you want to play 2 rounds of ski-ball that costs $2 each and you also know you want to play Dance Dance Revolution three times which costs $2.50 each game. You will spend the remaining money on air hockey, which costs $1.75 per game. What's the maximum number of air hockey games you can play?
The maximum number of air hockey games that can be played out of the $100 game card at Dave & Buster's is 50.
How to find the maximum number of times to play the last game?With a $100 game card, the maximum amount of times to play air hockey is found thus;
After 2 rounds of ski-ball at the cost of $2 per game = $4
After 3 rounds of Dance Dance Revolution at the cost of $2.50 per game = $7.50
If air hockey costs $1.75 per game, then;
$4 + $7.50 = $11.50
$100 - $11.50 = $88.50
Therefore $88.50/$1.75 = 50.5 approximately 50 times.
It will take 50 times to use up the rest of the $88.50 left from the $100 game card if air hockey costs $1.75.
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Special quadrilateral
Where the above rectangle has the given dimensions, this means that:
m∠1 = 49°
m∠2 = 41°
m∠3 = 41°
∠ADC = 90°
AB = 7.5
BD = 10
CE = 5
What are the properties of a rectangle?The following are the qualities of a rectangle:
A quadrilateral with four equal internal angles is known as a rectangle.A rectangle's opposite sides are equal and parallel to one other.A rectangle's inner angle at each vertex is 90°.The sum of a rectangle's internal angles equals 360°.The diagonals cut each other in half.The diagonals are all the same length.The Pythagorean theorem may be used to calculate the length of the diagonals. (a2 + b2) is the length of the diagonal with sides a and b.A rectangle is sometimes known as a parallelogram because its sides are parallel.Parallelograms are all rectangles, but rectangles are not all parallelograms.1) Since the diagonals cut one other in half, it means that ΔCEB, ΔAED are congruent isosceles triangles. It also means that ΔAEB and ΔDEC are congruent isosceles triangles.
This means that ∠BCE = ∠CEB
Where ∠AEB = 98°
∠ABE = (180-98)/2
= 41°
Thus, m∠1 = 90- 41°
m∠1= 49°
2 and 3) Given that ΔAEB and ΔDEC are congruent isosceles triangles, and ∠AEB and ∠DEC are opposite angles (which are congruent), that means
∠AEB and ∠DEC = 98°
Thus,
m∠2 and m∠3 = (180-98)/2 that is
m∠2 and m∠3 = 41° respectively.
4) ∠ADC = 90° (Property of a rectangle)
5) Given an angle and the hypotenuse, we can find AB. Using the law of sines that is:
AB = AC * Sin ∠DAC
Note that ∠DAC ≅ ∠1
Note that AC = 10 (properties of a Rectangle)
Thus
AB = 10 * Sin 49°
AB = 10 * 0.75470958022
AB = 7.5470958022
AB [tex]\approx[/tex] 7.5
6) BD = 10 [Qualities of a Rectangle]
7 ) CE = 5 [Qualities of a Rectangle]
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Find the coordinates of the point 3/10 of the way from A to B.
the coordinates of the point 3/10 of the way from A to B are---------------------.
The coordinates of the point on the line is (1/2, -27/10)
How to determine the coordinates of the point on the line?From the question, we have the following parameters that can be used in our computation:
Point A is at (-4,-6) and point C is at (11,5).
Also, we have the ratio of AB to AC to be 3 : 7 i.e. 3/10
The partition involves dividing the line into subsegments
This means that
(x, y) = (-4,-6) and (11,5).
m : n = 3 : 7
The coordinates of the partition are calculated as:
Point = 1/(m + n) * (mx₂ + nx₁, my₂ + ny₁)
Substitute the known values in the above equation, so, we have the following representation
Point = 1/(3 + 7) * (3 * 11 + 7 * -4, 3 * 5 + 7 * -6)
Evaluate the products
So, we have the following representation
Point = 1/10* (5, -27)
Evaluate the quotients
Point = (1/2, -27/10)
Hence, the coordinate of the partition is (x,y) = (1/2, -27/10)
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Please help answer these for 30 points pls
Answer:
please name the chapter
plot the image of point C under a dilation about the origin with a scale factor of 1/5
Why is regression line line of best fit?
Due to its superior fit when drawn through the points, the regression line is occasionally referred to as the "line of best fit." It is a line that reduces the difference between the actual and anticipated scores.
What does regression line mean?
An estimated linear relationship between two variables, which is known as the real but unobserved linear relationship, is shown by a regression line.
A given value for the explanatory variable is used to predict (or estimate) the value of the response variable using the equation of the regression line.
What does the term "regression line" mean?
Regress, which is derived from the Latin verb "regressus" (to go back), is the root of the word "regression" (to something). Regression, in this sense, is a method that enables "going back" from muddled, difficult-to-interpret data to a more understandable and valuable model.
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PLS HELP ITS DUE TODAY I FORGOT
The number of months that the manufacturer should offer is given as follows:
51.7 months.
How to obtain the amount using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for this problem are given as follows:
[tex]\mu = 60, \sigma = 5.2[/tex]
The z-score associated with the 5.6th percentile is given as follows:
z = -1.59.
Hence the amount of time is obtained as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.59 = \frac{X - 60}{5.2}[/tex]
X - 60 = -1.59 x 5.2
X = 51.7 months.
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PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
4
Step-by-step explanation:
As the picture shows, there are positives and negatives; adding a positive number with a negative number is the same as subtracting a positive from a positive.
So, 9 + (-5) would be the same as 9 - 5.
Hope I helped!
1c. Find the volume of the child's toy shown below. Use 3.14 for pi . Round all answers to 1 decimal place.
Please help!!!
The volume of top solid is 1570cm³, the volume of bottom solid is 157cm³and the total volume of toy is 1727cm³.
What are solids?Solids or three-dimensional shapes are defined as any shape or figure with three dimensions or more. Solid geometry is the study of the characteristics, volume, and surface area of three-dimensional shapes.
The toy can be divided into two solids :
The top solid is a cone and the bottom solid is a cylinder.
The total volume of the toy can be found by adding the volumes of the cone and cylinder.
Volume of cone
Length of the cone l= 13cm
The radius of the base of the cone r = 5cm
Height of cone h = = 12cm
Volume of cone = = = 1570 cm³
Volume of cylinder
Radius r = 5cm
Height h = 2cm
Volume of cylinder = = 157cm³
Therefore the total volume of toy = 1570 + 157 = 1727 cm³
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Kylie leans a 30-foot ladder against a wall so that it forms an angle of 74° with the ground. What’s the horizontal distance between the base of the ladder and the wall?
8.269 feet is the horizontal distance between the wall and the ladder's base.
What is the distance?Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively.
The distance can refer to the physical length in physics or to an estimate based on other factors in ordinary language (e.g. "two counties over").
The term is frequently used metaphorically to refer to a measurement of the difference between two common pieces (such as statistical distance between probabilistic or edit distance between strings of text) or a degree of separation, as spatial cognition is a rich source of conceptual metaphors in human thought (as exemplified by the distance between people in a social network).
So, using a right-angled triangle's trigonometry:
(x = required distance)
cos 74 = x / 30
x = 30 cos 74
x = 8.269 ft
Therefore, 8.269 feet is the horizontal distance between the wall and the ladder's base.
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please help ………………………
what is the y- intercept of y=-2/5x-5
Answer: I believe the y-intercept would be -5
Step-by-step explanation: If you recall, we find the slope using y=mx+b, with M being your slope and B being your y-intercept! I hope that was helpful!
i need help please with this problem
Answer:
Pleae see the attached graph.
Step-by-step explanation:
The values of x are graphed for their respective valid regions, as defined in the question.
oie Velasco: Attempt 1
Question 6 (1 point)
Increasing or Decreasing thermal Energy Causes Water to change States. (Lesso
1.02)
True
False
Question 7 (1 point)
Answer: It is True
Step-by-step explanation:
The increase in thermal energy allows molecules to decrease their density and escape the liquid state to become gas molecules.
than 44 an t& cent.
14. It cost the Wilson children $55 to make lemonade. How many
glasses must they sell at 75% each to make a profit?
Answer:
pro
Step-by-step explanation:
proproproprohope th uh s was helpful27% of adults would pay more for environmentally friendly products. You randomly select 10 adults. Find the probability that the number of adults who would pay more for environmentally friendly
products is (a) exactly two. (b) more than two, and (c) between two and five, inclusive.
(a) P(2) - (Round to the nearest thousandth as needed.)
The Poisson probability law states that the probability of at least two changes every day is 0.0263. Thus, 0.0263% of changes happen twice or more each day.
Who defines probability?The mathematical method it explains for calculating probability calculates all the probabilities of something occurring in the setting of specific random events. A probability's proximity to the value or, alternatively, its distance from zero can make one less confidence in the outcome. The confidence level is based on how close the probability value is, which is calculated using a number range from 0 and 1.
Here,
calculation
The probability distribution function for X is the average number of times the event happens over a specific period of time.
In this experiment, the frequency, or x, at which an event occurs is counted.
The likelihood of the event happening throughout each period is equal.
The number of occurrences in one period is independent of the number in other intervals.
the first step is to set the discrete random variable X to the number of website content updates.
Let's say that there are on average x content changes every day.
The Poisson probability law states that the probability of at least two changes every day is 0.0263.
Consequently, 0.0263% of changes that occur twice or more
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Can exponential function have 1 as a base?
Yes, an exponential function can have 1 as a base.
An exponential function is a function of the form f(x) = a^x, where a is the base and x is the exponent. The base can be any real number, including 1.
When the base is 1, the exponential function is defined as f(x) = 1^x = 1 for any value of x. This function is a constant function that always equals 1.
It is important to note that when the base of an exponential function is less than 0, the domain of the function is all real numbers except for certain values of x.
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In the triangle below, with right angle I, suppose that m angle G = (4x-16)° and m angle H= (3x+15)°.
Find the degree measure of each angle in the triangle.
Therefore , the solution of the given problem of triangle comes out to be the measure of each angle is 36,54 and 90.
What is a triangle and some of its properties?A triangle is a three-sided polygon in geometry that has three edges and three vertices. The fact that the internal angles of a triangle add up to 180 degrees is the most crucial aspect of triangles. Angle sum property of a triangle is the name of this property.
Here,
Using the angle sum property of triangle,
90+4x-16+3x+15=180.( Since its a right angle triangle)
7x+89=180
7x=91
x=13
Therefore, ∠G=4X-16=36 and ∠H=3x+15=54.
Hence, the measure of each angle is triangle is 36,54 and 90.
Therefore , the solution of the given problem of triangle comes out to be the measure of each angle is 36,54 and 90.
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Quadrilateral JKLM is shown.
Suppose quadrilateral J´K´L´M´ is a reflection of JKLM in the line y = x. The coordinates of M´ would be : (_,_)
Suppose quadrilateral J''K''L''M'' is a rotation of JKLM 90° counterclockwise about the origin. The coordinates of J'' would be : (_,_)
The coordinates of M´ would be : (4, 1) after reflection across the line y = x.
The coordinates of J'' would be : (3, -1) after counterclockwise about the origin.
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
The quadrilateral JKLM is shown in the given figure.
As per the given graph, we can see that
The coordinates of M would be : (4, 1)
Suppose quadrilateral J´K´L´M´ is a reflection of JKLM in the line y = x.
Then the coordinates of M´ would be : (4, 1)
The coordinates of J would be : (1, 3)
Suppose quadrilateral J''K''L''M'' is a rotation of JKLM 90° counterclockwise about the origin.
Under a counterclockwise rotation about the origin of 90 degrees
A coordinate ( x, y ) → ( y, - x ),
The coordinate J is (1, 3) and is translated using the rule
Then simply plug in the values of x and y which are x = 1 and y = 3
Thus (1, 3) → (3, -1)
Thus, the coordinates of J'' would be : (3, -1)
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Find the distance between the points (8, 1) and (2, 9).
Round decimals to the nearest tenth.
Answer:
10
Step-by-step explanation:
using the distance formula
kiran's Mother gets a resturant bill for $40. She has a coupon for 25% off. After the discount is applied, she adds 20% as a tip. What is the total after the discount and tip? Explain or show your reasoning.
Answer: $36
Step-by-step explanation:
Bill is $40, the 25% off coupon is used, and the 20% tip is left.
Step 1: Find 25% of 40
is/40=25/100 ------> 40(25)/100=10
Step 2: Find the new bill price after discount
40-10=30
Step 3: Find the 20% tip of 30
is/30=20/100 ---------> 30(20)/100=6
Step 4: Add the tip with the restaurant bill
30+6=$36
A car dealer pays d dollars for a car, which is sold c dollars. The commission paid to the salesperson is 24% of the profit. Express this equation algebraically.
Therefore , the solution of the given problem of equation comes out to be 0.24(d−c) is the required equation.
What is equation?The equal letter (=) is used to signify equivalence between the statements in a mathematical formula. Using mathematical equation, which are declarations of reality, it is shown that many mathematical variables are equivalent. For instance, the equal sign in the equation y + 6 = 12 divides the values 12 or b + 6 into two halves. The number of words that each side of a symbol corresponds to can be measured. Typically, a symbol's meaning is at odds with itself.
Here,
Given :
$d dollar purchase price
Selling price = $c
25% commission rate
The difference between the selling price and the purchasing price is the profit.
=Buy price - Selling price =d - C
The commission is the result of the profit and the commission rate.
=> Profit = Commission rate * Profit
=> 24% * (d- c)
=>0.24×(d−c)
=> 0.24(d−c)
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Quadrilateral ABCD has the following angle measures: m∠A = ?°, m∠B = 97°, m∠C = 47°, m∠D = 90° What is m∠A?
Answer:
m<A is 126 degrees
Step-by-step explanation:
Assuming that the whole entire quadrilateral is 360 degrees, I can say that part A is 126 degrees.
someone answer please!
So on solving the provided question, we can say that in this triangle,
angle B = 90, AC = 13; AB = x 10
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
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here, in this triangle,
angle B = 90
AC = 13
so by Pythagoras theorm
AB = x 10
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please help with my homework cant figure it out.
The figure is a regular polygon then the value of x is 21.
What is a regular polygon?
A regular polygon is a polygon that has all sides equal and each side subtends an equal interior angle at the center.
The sum of the interior angles of a polygon is
sum = 180° (n - 2)
n is the number of sides
Here n = 12, then
sum = 180° × 10 = 1800°
So the angle subtended by one side at the center is given as follows
Each of the 12 interior angles = 1800° ÷ 12 = 150
Then,
7x + 3 = 150
7x = 147
x = 21
Hence, If the figure is a regular polygon the value of x is 21.
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