The graph of the polynomial equation is solved and plotted
Given data ,
Let the polynomial equation be represented as A
Now , the value of A is
y = x² - 3
On simplifying , we get
Now , the values of x ranges from -3 ≤ x ≤ 3
So , the inequality is -3 ≤ x ≤ 3
Hence , the graph of the equation is a parabola
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What is the incorrect statement?show your work
The incorrect statement is the reflection is over x-axis.
Given that an image has been reflected to form another image, we need to find the incorrect statement from the given options,
A reflection is known as a flip.
A reflection is a mirror image of the shape.
An image will reflect through a line, known as the line of reflection.
A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.
So, here the image is reflected over y-axis so the rule (x, y) → (-x, y) can be followed,
Also, the orientation of the image is preserved.
Since, the transformation is reflection, so the image and pre-images are congruent.
Hence, the incorrect statement is the reflection is over x-axis.
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The incorrect statement is the reflection is over x-axis.
Given that,
an image has been reflected to form another image, we need to find the incorrect statement from the given options,
So, here the image is reflected over y-axis so the rule (x, y) → (-x, y) can be followed,
Also, the orientation of the image is preserved.
Since, the transformation is reflection, so the image and pre-images are congruent.
Hence, the incorrect statement is the reflection is over x-axis.
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Write an exponential function in the form y= ab^x that goes through points (0,16) and (7,2048)
The exponential function in the form y= ab^x is y = 16(2)^7
Writing an exponential function in the form y= ab^xFrom the question, we have the following parameters that can be used in our computation:
Function that goes through points (0,16) and (7,2048)
An exponential function is represented as
y = ab^x
Where
a = y when x = 0
This means that
a = 16
So, we have
y = 16b^x
Using the other point, we have
16b^7 = 2048
Divide
b^7 = 128
So, we have
b = 7
So, the function is y = 16(2)^7
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Sebastian decides to research the relationship between the length in inches and the weight of a certain species of catfish. He measures the length and weight of a number of specimens he catches, then throws back into the water. After plotting all his data, he draws a line of best fit. Based on the line of best fit, how much would you predict a catfish with a length of 45 inches would weigh?
A catfish with a length of 45 inches would weigh 50 pounds.
From the attached scatter plot, the line of best fit passes through the points (25, 14) and (30, 23)
Using the two point form, the equation of line passing through points (25, 14) and (30, 23) would be,
(y - y₁)/(y₂ - y₁) = (x - x₁)/(x₂ - x₁)
(y - 14)/(23 - 14) = (x - 25)/(30 - 25)
(y - 14)/(9) = (x - 25)/(5)
y - 14 = (9/5)x - (9 × 5)
y - 14 = (9/5)x - 45
y = (9/5)x - 45 + 14
y = (9/5)x - 31
For a length of 45 inches, the weight would be,
y = (9/5)(45) - 31
y = (9 × 9) - 31
y = 81 - 31
y = 50
Thus, the weight of the catfish = 50 pounds
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Find the complete question below.
HELP PLEASE!!!
Aurora hit a baseball with an initial velocity of 100 feet per second at an angle of 30° with the horizontal. The ball hit her bat when the ball was 3 feet above the ground. The back wall is 200 feet away standing at a height of 9 feet.
a. No one interferes with the ball. How long does it take the ball to reach the back wall? Round your answer to the nearest hundredth of a second.
b. Does the ball go over the back wall? Explain how you know if it does or does not. Note: if necessary, use your rounded answer from Part (a) in your calculations.
Solve by completing the square (also please explain)
p^2+14p-38=0
The solutions of the equation are p = -7 + √87 and p = -7 - √87.
We have,
To solve by completing the square, we want to rearrange the equation so that the left side is a perfect square trinomial.
Here are the steps:
- Move the constant term (-38) to the right side:
p² + 14p = 38
- Take half of the coefficient of p (which is 14) and square it:
(14/2)² = 49
- Add and subtract this value to the left side of the equation:
p² + 14p + 49 - 49 = 38
- Simplify the left side by factoring the perfect square trinomial:
(p + 7)² - 49 = 38
- Add 49 to both sides of the equation:
(p + 7)² = 87
- Take the square root of both sides of the equation, remembering to include both positive and negative roots:
p + 7 = ±√87
Solve for p:
p = -7 ± √87
Therefore,
The solutions are p = -7 + √87 and p = -7 - √87.
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Solve for x value:
5
7+V(−36 – 5x) = 250
X=
Blank 1:
The required simplified value of x is -377.
To solve for x in the given equation:
7 + √(-36 - 5x) = 250/5
First, simplify the right-hand side:
7 + √(-36 - 5x) = 50
√(-36 - 5x) = 43
Square both sides to eliminate the square root:
-36 - 5x = 1849
Solve for x:
x = (-1849 - 36)/5
x = -377
Therefore, the value of x is -377.
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Answer:
First, we need to isolate the radical term on one side of the equation:
7 + V(-36 - 5x) = 250
V(-36 - 5x) = 243 (subtract 7 from both sides)
-36 - 5x = 243^2 (square both sides)
-36 - 5x = 59049
-5x = 59049 + 36
-5x = 59085
x = -11817
Therefore, x = -11817.
A volcano on a recently discovered planet rises to a height of 81,649.013 ft. Use the table of facts to find the height of the volcano in miles. Round your answer to the nearest tenth.A volcano on a recently discovered planet rises to a height of 81,649.013 ft. Use the table of facts to find the height of the volcano in miles. Round your answer to the nearest tenth.
Which of these descriptions best suits a pyramid?
A.
Pyramids have polygonal faces and a triangular base.
B.
Pyramids have triangular faces and a polygonal base.
C.
Pyramids have triangular faces and a circular base.
D.
Pyramids have polygonal faces and a polygonal base.
E.
Pyramids have curved faces and a polygonal base.
The best descriptions that suits a pyramid is option B.
Pyramids have triangular faces and a polygonal base.
A pyramid is a 3D figure built with a base of a polygon and triangular faces all connected together. A pyramid connects each vertex of the base to a common tip or apex giving it the typical shape.
A pyramid is made by connecting the base to the apex. Sometimes, the triangular sides are also called lateral faces to distinguish them from the base. In a pyramid, each edge of the base is connected to the apex that forms the triangular face.
Hence the correct option is B.
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8 4/5 - 5 2/5? answer fast
Answer: 17/5 or 3 2/5
Step-by-step explanation:
You separate the whole numbers from the fractions.
8-5=3 and 4/5-2/5=2/5
Then you combine the fraction with the whole number:
3 2/5 or 17/5 as a mixed fraction.
Recent legal changes to marijuana laws have altered the atmosphere in which people utilize the drug. Several states have legalized marijuana as a recreational drug. Below is ‘Hypothetical’ data on the percentage of users in both states that have (hypothetically) legalized marijuana and states that have not legalized marijuana. The government desires to know if the law is a deterrent to using the drug and hires you to figure it out. Examine the data and figure out the following questions below.
Percentage of Marijuana Workers in Legal & Non-Legal Use States
% Legal Use Marijuana % Non-Legal Use Marijuana
Iowa 20.5 New York 35.6
Alabama 18.2 Michigan 33.7
Alaska 18.2 Dist. of Colum. 33.4
Tennessee 17.3 Washington 32.9
Utah 16.8 Hawaii 31.5
Nevada 16.3 West Virginia 28.9
Nebraska 16.3 Illinois 27.5
Wyoming 15.6 Oregon 27.5
North Dakota 14.2 Ohio 27.4
Louisiana 13.8 Pennsylvania 27
Arkansas 13.2 Missouri 26.6
Georgia 12.8 California 25.4
Texas 12.7 Indiana 25.1
Kansas 12.5 Wisconsin 24.5
Virginia 12 Minnesota 24.5
South Dakota 10.9 Montana 21.7
Florida 9.6 Kentucky 20.4
Mississippi 9.3 Delaware 20.3
North Carolina 8.9 New Jersey 19.9
South Carolina 5.8 Massachusetts 19.7
Rhode Island 19.4
Connecticut 18.9
Maryland 18.6
Maine 18.5
Colorado 18
Idaho 16.1
Oklahoma 12.9
New Mexico 12.8
New Hamp. 12.3
Vermont 11.9
18. What is the pooled variance?
19. Compute the appropriate statistic?
20. Discuss the findings at p<.05 (same as the 95% level)?
A popular family card game deals each player 7 cards from a 48 card deck how many ways can a player have 7 cards
The combination is solved and the number of ways of choosing 7 cards from a set of 48 cards is ⁴⁸C₇ = 85,900,584 ways
Given data ,
Let the number of ways of choosing 7 cards from a set of 48 cards be C
Now , the number of cards = 48 cards in deck
The number of selected cards = 7
From the combination , we get
The number of ways that a player can have 7 cards from a 48-card deck, we can use the formula for combinations:
n choose r = n! / (r! * (n-r)!)
where n is the total number of items and r is the number of items chosen.
In this case, n = 48 (the number of cards in the deck) and r = 7 (the number of cards dealt to each player). So we can plug in these values and simplify:
⁴⁸C₇ = 48! / (7! * (48-7)!)
Hence , the combination is ⁴⁸C₇ = 85,900,584 ways
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Answer:
Step-by-step explanation:
We know this is a combinations problem, so we have 48C7:
48C7=48!7!(48−7)!=48!7!41!=48⋅47⋅46⋅45⋅44⋅43⋅42⋅41!7⋅6⋅5⋅⋅⋅2⋅1⋅41!=73,629,072
That is, there are 73,629,072 ways to choose seven cards from forty-eight.
this is pt 2 of the knewton answer
Will mark brainliest.
The solution is, the value of the variables are x = 40 and, y = 160.
Notice that "x" and "3x+20" are supplementary angles so their sum is 180°
(x) + (3x + 20) = 180
4x + 20 = 180
4x = 160
x = 40
To solve for "y", you have 2 options: either notice that "x" and "y-20" are supplementary angles so their sum is 180° or notice that "3x + 20" and "y - 20" are vertical angles so are equal to each other. I am going to solve using the first option because it is less work.
(x) + (y - 20) = 180°
40 + y - 20 = 180
y + 20 = 180
y = 160
Answer: x=40, y=160
The solution is, the value of the variables are x = 40 and, y = 160.
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complete question:
Find the value of each variable
please help me with this please i need the amswers for today,
The coordinates of each points are:
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
We have,
The coordinates of each point are in an ordered form.
i.e
(x, y)
x is the x-axis value.
y is the y-axis value.
Thus,
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
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log2(x + 4) + log2(3) = log2(8) + log2(2x − 5)
The solution to the logarithmic equation log₂(x + 4) + log₂(3) = log₂(8) + log₂(2x − 5) is x = 4
Consider the logarithmic equation,
log₂(x + 4) + log₂(3) = log₂(8) + log₂(2x − 5)
We need to solve this equation for x.
Here, the base of logarithm is 2.
Applying product rule of logarithm to log₂(x + 4) + log₂(3) we get,
log₂(x + 4) + log₂(3) = log₂(3(x + 4))
So, our equation becomes,
log₂(3(x + 4)) = log₂(8) + log₂(2x − 5)
log₂(3x + 12) = log₂(2³) + log₂(2x − 5) .......(2³ = 8)
log₂(3x + 12) = 3log₂(2) + log₂(2x − 5)
log₂(3x + 12) = (3 × 1) + log₂(2x − 5)
log₂(3x + 12) - log₂(2x − 5) = 3
Applying power identity of logarithm to -log₂(2x − 5) we get,
-log₂(2x − 5) = 1 / [log₂(2x − 5)]
So, our equation becomes,
log₂(3x + 12) + [1 / log₂(2x − 5)] = 3
Applying product rule of logarithm to log₂(3x + 12) + [1 / log₂(2x − 5)] we get, log₂(3x + 12) + [1 / log₂(2x − 5)] = log₂[(3x + 12) / (2x − 5)]
So, our equation becomes,
log₂[(3x + 12) / (2x − 5)] = 3
Now, exponentiate both sides.
(3x + 12) / (2x - 5) = 2³
(3x + 12) / (2x - 5) = 8
(3x + 12) = 8(2x - 5)
3x + 12 = 16x - 40
13x = 52
x = 4
This is the required value of x.
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The complete question is:
Solve the logarithmic equation.
log₂(x + 4) + log₂(3) = log₂(8) + log₂(2x − 5)
Petrol price liter increased, increased from Rs 170 of the to Rs 180 per liter. Find what percent price is increased
Find the value of X for the following
The calculated value of x in the right triangle is 8
Finding the value of x for the right triangleFrom the question, we have the following parameters that can be used in our computation:
The right triangle
The value of x can be calculated by using the corresponding sides of similar triangles
Using the similarity theorem of triangles, we have the following equation
x/2√6 = 2√6/3
When both sides are cross muliplied, we have the following equation
3x = 4 * 6
Divide both sides by 3, we get
x = 4 * 2
Evaluate the product of 4 and 2
x = 8
Hence, the value of x is 8
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Please Help! College Algebra
Help answer me answer this plss
The value of x is given as follows:
x = 26.
How to obtain the value of x?To obtain the value of x, first we must consider that the angle between the two lines, to the left of the transversal line, is congruent to the angle of 5x - 7.
Then the angle stated above is a consecutive interior angle with the angle of (2x + 5)º, meaning that they are supplementary angles, that is, the sum of their measures is of 180º.
Hence the value of x is obtained as follows:
5x - 7 + 2x + 5 = 180
7x = 182
x = 182/7
x = 26.
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What’s is the area of the figure?
The total surface area of the triangular figure is S = 160 m²
Given data ,
Let the total surface area of the triangular figure be S
Now , the area of the base be A
where the side length of the base a = 8 m
So , the area of base A = 8²
A = 64 m²
Now , the height of the triangle = 6 m
The base of the triangle = 8 m0
Now , the area of the four triangles = 4 ( 1/2 ) ( 6 ) ( 8 )
Area of four triangles = 96 m²
Therefore , the total surface area S = 64 + 96
S = 160 m²
Hence , the surface area of figure is 160 m²
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Can someone please explain to me how to do three column tables? I'm confused.
To create a three-column table, draw three vertical lines and label each column with the appropriate category. Enter the information row by row, be consistent with formatting, and consider using shading or color to improve readability.
To create a three-column table
A three-column table is a way of organizing information into three columns or columns. Each column represents a different category or piece of information. For example, a three-column table might be used to show a list of names, ages, and cities.
Here's how to create a three-column table, Draw three vertical lines on a piece of paper or in a document to create three columns. Label the columns with the appropriate categories. For example, if you're creating a table to show names, ages, and cities, you would label the columns "Name," "Age," and "City."
Enter the information into the table. Start by entering the information for the first row, then move on to the next row until you have entered all the information. Be consistent with your formatting. Use the same font and font size for all the text in the table.
Align the text in the columns so that it is easy to read and compare information. Consider using shading or color to make the table more visually appealing and easier to read.
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Kaden has 7 bags of animal toys. Each bag has these animal toys in it. • 1 whale toy . 5 dolphin toys • 2 turtle toys How many animal toys does Kaden have altogether? Select all of the equations that show how to find the total number, t, of animal 7x8=t 7+1+5+2=t 7x (1+5+ 2) = t 7+ (1 x 5 x 2) = t
Answer:
56
Step-by-step explanation:
Kaden has 7 bags of animal toys.
Each bag has these animal toys in it.
• 1 whale toy
• 5 dolphin toys
• 2 turtle toys
Total number of toys in each bag: 1 + 5 + 2 = 8
Number of bags: 7
Total number of animals: 7 × 8 = 56
Answer: 7x 8=t and 7x(1+5+2)=t
Step-by-step explanation:
7x8=t. There are 7 bags with 8 (1+5+2) toys in each.
7x (1+5+2). There are 7 bags with 1+5+2 (8) toys in each.
the correct answer.
Which inequality represents the values of that ensure triangle ABC exists?
A
2x+4
B
O D.
18
OA.
<< 1
OB. -< < ¹
O c. 1 < x < 5
6x
2 < < 6
The Inequality which ensure triangle exists is A. 7/4 < x < 11/2
What is the inequalityInequality is defined as the relation between two quantities with the sign of inequality that is >, <, ≤ , ≥ ."
Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal.
Theorem used In ΔABC,
AB + BC >AC
AC+ BC >AB
AC + AB > BC
According to the question,
In triangle ABC.
AC = 18units
BC = 6x units,
AB = 2x + 4 units
Substitute the value in the inequality to ensure triangle exists we get 7/4 < x < 11/2. The correct option is A.
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c. What is the median 4. The residents of Summersville, West Virginia, are concerned about people speeding through their town on US Route 19. The police decide to monitor the speed of the cars that pass through the town at various times during the day. The data show the recorded speeds in miles per hour of 23 cars at 7:30 am on one Wednesday morning. 73, 68, 72, 61, 51, 68, 70, 53, 72, 71, 46, 51, 55, 53, 65, 57, 65, 57, 58, 68, 61, 48, 83 a. What is the range of data? b. Construct a box-and-whisker plot of the data. c. Interpret each number in the five-number summary. d. What does the IQR value tell you about the speeds of the cars? e. If the speed limit through the town is 50 miles per hour, should the residents be concerned based on this data? 5. San Francisco California and Richmond, Virginia, are located at about the same lott Summ
a. The range of data is 37 (max: 83, min: 46).
How to solveb. The box-and-whisker plot:
Min: 46 Q1: 53 Median: 61 Q3: 68 Max: 83
---|----|----|----|----|----|----|----|----|---
46 53 61 68 83
c. The five-number summary:
Minimum (46): Lowest speed recorded.
First Quartile (Q1 - 53): 25% of the cars were traveling at 53 mph or below.
Median (61): The middle value in the dataset, meaning 50% of cars were traveling at or below 61 mph.
Third Quartile (Q3 - 68): 75% of the cars were traveling at 68 mph or below.
Maximum (83): Highest speed recorded.
d. The IQR (Q3-Q1 = 68-53 = 15) tells you the spread of the middle 50% of the speeds. It gives an idea of how varied the speeds are in the dataset.
e. Since the majority of recorded speeds (more than 50% - based on the median) are above the 50 mph speed limit, the residents should be concerned about speeding.
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3/8 + 2/3 as a mixed number
You roll a 6 sided die with Face's number 1 through 6 and toss a coin. What is the probability of rolling a 3 or getting heads?
The probability of rolling a 3 or getting heads is 0.67
What is the probability of rolling a 3 or getting heads?From the question, we have the following parameters that can be used in our computation:
You roll a 6 sided die with Face's number 1 through 6 Toss a coinUsing the above as a guide, we have the following:
P(3) = 1/6
This is because there is only 1 face with number 3 in a die
Also, we have
P(Head) = 1/2
Using the above as a guide, we have the following:
P(3 and Head) = 1/6 + 1/2
Evaluate
P(3 and Head) = 0.67
Hence the probability is 0.67
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Will mark brainliest.
The solution is, the value of the variables are x = 40 and, y = 160.
Notice that "x" and "3x+20" are supplementary angles so their sum is 180°
(x) + (3x + 20) = 180
4x + 20 = 180
4x = 160
x = 40
To solve for "y", you have 2 options: either notice that "x" and "y-20" are supplementary angles so their sum is 180° or notice that "3x + 20" and "y - 20" are vertical angles so are equal to each other. I am going to solve using the first option because it is less work.
(x) + (y - 20) = 180°
40 + y - 20 = 180
y + 20 = 180
y = 160
Answer: x=40, y=160
The solution is, the value of the variables are x = 40 and, y = 160.
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complete question:
Find the value of each variable
Find the area of the composite figure below.
After calculating the area of figure, we can conclude that it's area is 38.4 cm².
To find the figure of this area, we need to first divide the composite figure into two parts so that we can find it's area. So, it will be divided into a parallelogram and a rectangle.
Firstly, we will find the area of the parallelogram.
For parallelogram,
base = 4cm
height = 3.6 cm
area of parallelogram = base × height
= 4 × 3.6
= 14.4 cm²
Now, we will find the area of the rectangle:
We have been given Its length as 4cm and breadth as 6 cm
Area of rectangle = length × breadth
= 4 × 6
= 24 cm²
Now, to find the area of composite figure, we will add both the areas
Area of figure = Area of rectangle + area of parallelogram
= 24 + 14.4
= 38.4 cm²
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The base of a parallelogram is 10 mm. The height of the parallelogram is 3.5 mm. What is the area of the parallelogram?
Write your answer without the units and round to the nearest whole number, if necessary.
Type your answer.....
The area of the parallelogram is 35 square millimeters.
To find the area of a parallelogram, we multiply the base by the height. Given that the base of the parallelogram is 10 mm and the height is 3.5 mm, we can calculate the area as follows:
Area = base * height
Area = 10 mm * 3.5 mm
Area = 35 mm²
Therefore, the area of the parallelogram is 35 square millimeters.
It is also important to remember to include the units when giving the answer, which in this case is square millimeters (mm²).
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please help im absoulutely horrid with math
i need the surface area
The total surface area of the given triangular prism is: 72.5 in²
What is the surface area of the prism?To get the surface area of this prism, what we will do is to find the area of each of the surfaces and add up to get the total surface area.
The formula for the area of a triangle is:
Area = ¹/₂ * b * h'
where:
b is base length
h is height
Total Surface Area = (¹/₂(5 * 5)) + 3(¹/₂*5*8)
Total Surface Area = (25/2) + 60
Total Surface Area = 72.5 in²
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2 pounds 6 ounces = ounces
2 pounds 6 ounces in ounces is equivalent to 38 ounces.
The given measurement is -
2 pounds 6 ounces
In 1 pound, there are 16 ounces.
So, we can write that -
2 pounds 6 ounces = 2 x 16 + 6
2 pounds 6 ounces = 38 ounces
So, 2 pounds 6 ounces in ounces is equivalent to 38 ounces.
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