The solution is, f(x) = 7 is a even function.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
Solution:
Given that we have to find the even function
A function is even if and only if f(–x) = f(x)
Steps to follow:
Replace x with -x and compare the result to f(x).
If f(-x) = f(x), the function is even.
If f(-x) = - f(x), the function is odd.
If f(-x) ≠ f(x) and f(-x) ≠ -f(x), the function is neither even nor odd.
now,
Option 4
f(x) = 7
f(-x) = 7
Thus f(-x) = f(x)
Thus it is a even function.
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Pam wants to put a banner across her garage door, as shown below, to congratulate her son for his college graduation. The garage door is 12 feet high and 16 feet wide. How long should the banner be to fit the garage door? A house is shown with a banner over the garage door. The garage door is marked 16 ft wide and 12 ft high.
The banner should be 56 feet long to fit the garage door.
What is the perimeter of rectangle?The perimeter of a rectangle is the total length of all the sides of the rectangle.
P = 2 (L + B)
P = perimeter of rectangle, L = Length of rectangle, B = Breadth of rectangle
Given length of garage door = 12 feet
Given breadth of garage door = 16 feet
P = 2 (L + B)
P = 2 ( 12 + 16)
P = 2 (28)
P = 56 feet
Hence, The total length of the banner should be 56 feet to cover the entire door.
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Which methods will determine 70% of 42?
A: Determine 1% of 42, and multiply the result by 7
B: Determine 10% of 42, and multiply the result bv 7.
C: Determine 10% of 42, and multiply the result by 70
D: Determine 10% of 42, and multiply the result by 70.
About how many millimeters long is the missing side of the right triangle, to the nearest tenth?
5 mm
7 mm
Using Pythagoras theorem, The missing side of the right triangle is 4,9 mm long.
The Pythagoras Theorem is what?Pythagoras' Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides. The Perpendicular, Base, and Hypotenuse are the names of the three sides of this triangle. The hypotenuse in this example is the longest side because it is located across from the 90° angle. A right triangle's positive integer sides (let's say sides a, b, and c) are squared to produce a Pythagorean triple equation.
Right triangles are what the provided triangle is.
The Pythagorean Theorem is used:
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex](5)^{2} + (7)^{2} = c^{2}[/tex]
25 + 49 =[tex]c^{2}[/tex]
c = 4.9
Hence, the missing side of the right triangle is 4,9 mm long.
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The Blue Knights soccer team is practicing kicking the soccer ball into the goal. To begin, each player attempts kicks for 2 minutes and then reports the fraction of goals they made. Brad, Alice, and Andre report the following fractions: Player Goals Made Brad 4 5 Alice 1 2 Andre 4 6 Graph each fraction on a number line. 1. Which of these players made the greatest fraction of goal i don't know the answerr
According to the information, the player who scored the most goals in relation to the number of shots he took was Brad.
How to identify the player who scored the most goals?To find the player who scored the most goals in relation to the number of shots we must divide the fraction and place the number on the line. Once we have graphed this data, the highest number would be the one who scored the most goals compared to his attempts.
According to the above, the divisions would be:
4 / 5 = 0.81 / 2 = 0.54 / 6 = 1.6According to the above, Brad was the one who scored the most goals.
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determine the required value of the missing probability to make the distribution a discrete probability distribution.
The discrete probability distribution of 4 which is given as P(4) is 0.22.
In order to make a discrete probability distribution, the sum of all probabilities must equal 1. We can calculate the missing probability P(4) by subtracting the sum of the known probabilities from the value 1. So,
P(4) = 1 - (0.28 + 0.36 + 0.14)
= 1 - 0.78
= 0.22.
A discrete probability distribution is a mathematical function that assigns a probability to each outcome of a discrete random variable. In this case, the random variable is the value of x, and the corresponding probabilities are P(x).
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Complete Question:
Determine the required value of the missing probability to make the distribution a discrete probability distribution.
x P(x)
3 0.28
4 ?
5 0.36
6 0.14
P(4) = ______ ?
Edit Distance. Imagine that you are building a spellchecker for a word processor. When the spellchecker encounters an unknown word, you want it to suggest a word in its dictionary that the user might have meant (perhaps they made a typo). One way to generate this suggestion is to measure how "close" the typed word A is to a particular word B from the dictionary, and suggest the closest of all dictionary words. There are many ways to measure closeness; in this problem we will consider a measure known as the edit distance, denoted EDIT-DIST(A, B).In more detail, given strings A and B, consider transforming A into B via character insertions (i), deletions (d), and substitutions (s). For example, if A = ALGORITHM and B = ALTRUISTIC, then one way of transforming A into B is via the following operations:EDIT-DIST(A, B) is the minimal cost of transforming string A to string B, parameterized by the following three numbers:ci, the cost to insert a character, cd, the cost to delete a character,cs, the cost to substitute a character.Write base case(s) and a recurrence relation for computing EDIT-DIST(A, B). Hint: this should resemble the LCS recurrence relation from lecture.
Using dynamic programming, a recurrence relation can be used to compute the minimum edit distance between two strings.
The following are the base case(s) for computing EDIT-DIST(A, B):
If either string A or string B is empty, the cost of transforming string A to string B is the other string's length. For example, if A = "" and B = "ALGORITHM," then EDIT-DIST(A, B) = 8, because A to B requires 8 insertions.
The following is the recurrence relation for computing EDIT-DIST(A, B):
Let L(i, j) denote the shortest edit distance between string A's first I characters and string B's first j characters. Then,
L(i, j) = min { L(i - 1, j) + cd, L(i, j - 1) + ci, L(i - 1, j - 1) + cs(if Ai != Bj) }
where:
L(i - 1, j) + cd is the cost of deleting the last character of A,
L(i, j - 1) + ci is the cost of inserting a character in A to match the last character of B,
L(i - 1, j - 1) + cs is the cost of substituting the last character of A with the last character of B.
The above recurrence relation can be used to compute the minimum edit distance between two strings using dynamic programming.
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Rewrite the statement (p v ~q) -> (r v q) without using ^, ->, or <->.
The statement (p v ~q) -> (r v q) can be reworded as: "If either p is true or not q is true, then either r is true or q is true."
What is a conditional statement?A conditional statements are made up of two parts, a hypothesis (represented by p) and a conclusion (represented by q).. We will set down all potential combinations of truth values for our hypothesis and conclusion in a truth table and use those to determine the conditional statement's overall truth.
When a set of conditions are satisfied, a conditional assertion is judged to be true. Sometimes called if-then statements, they begin with a hypothesis and end with a conclusion. For instance, you might explain to a friend that getting a sunburn happens if you walk outside without sunscreen.
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In this figure, h = 3, and r = 4.
What is the exact surface area of the cone?
Enter your answer in the box.
units²
The exact surface area of the cone is 113.097 units².
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object.
Base of a cone is circle.
Base area = π r²
= π (4)² = 16π
Lateral surface area = π r √(h² + r²)
= 4π √(3² + 4²)
= 4π √25
= 4π × 5
= 20π
Total surface area = 16π + 20π
= 36π
= 113.097 units²
Hence the total surface area of the given cone is 113.097 units².
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Use this table to answer the question. Read the question carefully!
Infections in Hospital Infections after Release No Infections Total
Hospital 1 350 110 450 910
Hospital 2 175 210 350 735
Hospital 3 210 35 75 320
Hospital 4 437 587 4300 5324
Hospital 5 89 21 356 466
Hospital 6 67 175 298 540
Total 1328 1138 5829 8295
What was the percent of No Infections for Hospital 4?
Answer:
Step-by-step explanation:
100 %.
someone please help. I’ve been stuck on this question for like the past hour .
please someone find a solution for me and answer those questions i will rephrase it. Thank you.
The answers to the questions are illustrated below with easy explanations.
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
1. a. The graph of the function remains constant after 14 seconds so her walk took 14 seconds.
b. She traveled 14×4 = 56 meters in total as distance = speed×time.
c. She ends up (4 - 0.5)m = 3.5m away from her starting point.
d. She stopped when the graph of the function remains constant and it is from 5 to 7 seconds and she completely stopped after 14 seconds.
e. No, She didn't walk in one direction as the graph is increasing and decreasing at different time intervals indicating motion in different directions and it is the net distance from her starting point.
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A container can hold 40 litres of milk and container can hold 60 litres of milk . What is the maximum capacity of a jar that can be used to measure the milk of both containers ?
The capacity of the two containers can be measured with a jar with a maximum capacity of 20 litres.
How to determine the maximum capacity of a jar that can be used to measure two milk jars
In this problem we find the case of two containers with different capacity, one with a capacity of 40 litres and other with a capacity of 60 litres, we can measure each of them based on the number of adds needed to fill each container. The number of adds (n) is equal to the container capacity (C), in litres, divided by the jar capacity (c), in litres:
n = C / c
If we assume that the number of adds is a natural numbers, then we determine the greatest common factor of both container capacities. First, decompose each number related to each container:
40 = 2³ × 5
60 = 2² × 3 × 5
Second, find the common factors and create the resulting product:
G.C.F. = 2² × 5
G.C.F. = 20
A jar with a maximum capacity of 20 litres can be used to measure the capacity of both containers.
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Garrett bought 4 pounds of red apples and g pounds of green apples. Choose the expression that shows how many pounds of apples Garrett bought in all.
An expression that shows the total pounds of apples Garrett bought in all include the following: D. 4 + g.
How to write an equation to model this situation?In order to write an equation that model this situation, we would assign a variable to the total pounds of green apples and the total pounds of red apples respectively, and then translate the word problem into algebraic equation as follows:
Let the variable r represent the total pounds of red apples.Let the variable g represent the total pounds of green apples.Since Garrett bought 4 pounds of red apples and g pounds of green apples, an equation that models the total pounds of apples that he bought is given by:
Total pounds of apples = r + g
Total pounds of apples = 4 + g
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What is the product of 0.04 x 8?
Answer:
0.32
Step-by-step explanation:
Alice wants to bake 9 cakes for a party. Alice needs 1/3 cups of sugar for each cake. How much sugar will she need for the 9 cakes?
Answer:
Step-by-step explanation:
Answer:
8 2/3
Step-by-step explanation:
Since she has 1/3 already, we need more. So here, we SUBRACT.
Subtract 9 with 1/3.
You'll get 8 2/3
Half of seven added to product of x and 4 is less than 1
Answer:
The equation to represent the given statement is:
(7/2) + (4 * x) < 1
We can simplify the equation as follows:
(7/2) = 3.5
And then:
3.5 + (4 * x) < 1
Finally:
3.5 - 1 < - (4 * x)
2.5 < - (4 * x)
Dividing both sides by -4:
-2.5/4 > x
-0.625 > x
∡Step-by-step explanation:
This means that for the equation to be true, the value of x must be less than -0.625.
arulfo deposited 55 into a savings account according to the rulw of 72 what interest rate will cause his money to double in approximately 23 years
The 3.13% interest rate will cause his money to double in approximately 23 years.
What is compound interest?The interest that is calculated using both the principal and the interest that has accrued during the previous period is called compound interest. It differs from simple interest in that the principal is not taken into account when determining the interest for the subsequent period with simple interest. Compound interest is commonly abbreviated C.I. in mathematics.
Given that Arnulfo deposited $55 into a savings account for which interest is compounded semiannually.
According to the rule of 72, we should divide 72 by the interest rate to determine how many years it will take to double our money at a specific interest rate (r).
time is taken to double the money = 72/r,
where r represents the interest rate and time is in years.
As we have been given that it will take approximately 23 years to double Arnulfo's money, so we can set an equation as:
23 = 72/r
r = 72/23
r = 3.13
Hence the interest rate is 3.13%.
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The complete question is,
Arnulfo deposited $55 into a savings account for which interest is compounded semiannually. according to the rule of 72, what interest rate will cause his money to double in approximately 23 years?
Graph 3x-4y=8 2-48-3=y
The graph of the given equation are attached below.
What is graph?A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
If we know that the function crosses x axis at some point, then for polynomial functions, we have those as roots of the polynomial.
We are given the equation as;
3x - 4y = 8
3=y
From 3x – 4y = 8
⇒ -4y = -3x + 8
y = (3/4x) + -2
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WILL GIVE BRAINLIEST cylinder has a volume of 1 and one sixteenth in3 and a radius of one fourth in. What is the height of a cylinder? Approximate using pi equals 22 over 7.
119 twelfths inches
119 over 22 inches
119 over 44 inches
119 over 56 inches
The height of the cylinder is 119/22 inches or 5.41 inches.
What is the area and volume of a right circular cylinder?The volume of a Right Circular Cylinder. In general, the volume of a right cylinder is the area of the base times the height of the cylinder. The area of the circular base is given by the formula A = πr2. Substitute to get V = πr²h.
Given here: Volume of the cylinder = 1¹/₁₆ in³ and radius of 1/4
We know the volume of the cylinder is equal to
V=πr²h
17/16 = 22/7 × 1/16×h
h=17×7 /22
h=119/22
h=5.41 inches
Hence, The height of the cylinder is 119/22 inches or 5.41 inches.
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The answer is B, 119/22 inches
given a standard deck of cards find the probability of randomly drawingan ace of hearts from the deck
Answer:
Since there are 54 cards in a standard deck, and only 1 ace of hearts:
You would have 1/54 of a chance of drawing the ace of hearts.
You would also have 1.85% of a chance drawing the ace of hearts.
Step-by-step explanation:
Hope it helps! =D
one kilogram is 2.2 pounds what is the kilogram per pound
Here we have a relation to perform changes of units, we will see that:
1 pound = 0.455 kilograms
How many kilograms are in one pound?We know that one kilogram is 2.2 pounds, and we want find what is the "kilogram per pound".
We can write the relation:
1 kilogram = 2.2 pounds
To get the "kilogram per pound" we need to have a "1" on the right side, so we can divide both sides by 2.2, then we will get:
(1 kg)/2.2 = (2.2 lb)/2.2
0.455 kg = 1lb
This means that one pound is equalto 0.455 kilograms.
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Use a calculator to find the values of the inverse function in radians.
tan -¹(3.23)
The values of the inverse function in radians is 1.27
How to determine the value of the inverseFrom the question, we have the following parameters that can be used in our computation:
tan -¹(3.23)
Using the above as a guide, we have the following:
arctan(3.23)
Using a calculator, we have
arctan(3.23) = 1.27 radians
Hence, the values of the inverse function in radians is 1.27
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What is the quotient of 5.688\times 10^95.688×10 9 and 7.9 \times 10^27.9×10 2 expressed in scientific notation?
[tex]\cfrac{5.688\times 10^{9}}{7.9\times 10^{2}}\implies \cfrac{5.688}{7.9}\times \cfrac{ 10^{9}}{ 10^{2}}\implies 0.72\times 10^{9-2} \\\\\\ 0.72\times 10^{7}\implies 7200000\implies 7.2\times 10^{6}[/tex]
NO LINKS!!
Shown in the figure is a cross-section of a design for a two-story home. The center height h of the second story has not yet been determined. Find h such that the story will have the same cross-sectional area as the first story.
h = _________ ft
Answer:
13 ft
-----------------------------
Area of the cross-section of the first story is:
A = lw A = 30*8 A = 240Area of the cross-section of the second story is the sum of rectangular and triangular sections:
A = lw + 1/2*bhA = 30*3 + 1/2*30*(h - 3)A = 90 + 15(h - 3)A = 90 + 15h - 45A = 15h + 45Since both story's have same cross-section area, we have equation:
15h + 45 = 24015h = 195h = 195/15h = 13The height of the second story is 13 inches.
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
Given that, the first story has length=30 inches and width=8 inches.
Now, area of the cross-section of the first story is
A = Length×Width
A = 30×8
A = 240 square inches
Area of the cross-section of the second story is the sum of rectangular and triangular sections:
A = Length×Width + 1/2×Base×Height
A = 30×3 + 1/2×30×(h - 3)
A = 90 + 15(h - 3)
A = 90 + 15h - 45
A = 15h + 45
Since both story's have same cross-section area, we have equation:
15h + 45 = 240
15h = 195
h = 195/15
h = 13 inches
Therefore, the height of the second story is 13 inches.
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Answer questions 31 and 32.
30. Angle 1 and angle 9 are equal to each other. Then the correct option is C.
31. The value of the expression x + y will be 165°. Then the correct option is C.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.
30. Angle 1 and angle 9 are the corresponding angles. Then they are equal to each other.
Thus, the correct option is C.
31. Angle x and angle 55° are the corresponding angle.
x = 55°
And angle 70° and angle (180° - y) is the corresponding angle. Then the equations are given as,
70° = 180° - y
y = 110°
Then the value of the expression x + y is given as,
x + y = 55° + 110°
x + y = 165°
Thus, the correct option is B.
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HELPPP
Question #5
Suppose that you have "P" pieces of candy to distribute it evenly among your 5 friends. You can give each friend at most 8 pieces
of candy. Write an inequality to model this situation. Do not solve.
Answer:
[tex] \frac{p}{5} \times 8 = \frac{8p}{5} [/tex]
Drag each number tile to the box with the matching expression.
3
1
2
3
1
3
3
1
4
3
1
6
3
2
3
12
1
2
−
9
1
4
5
3
4
−
2
5
12
The first box is satisfied by 3 1/4
The second box is satisfied by 3 1/3
What is a fraction?
A fraction is a mathematical expression that represents a part of a whole or a ratio of two numbers. It consists of two parts: the numerator and the denominator.
The numerator represents the number of parts being considered, and the denominator represents the total number of parts in the whole. If we work on the boxes that we can see in the question then we end up with the values as shown above.
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The souvenir shop at the ballpark sells signed baseballs for $2 each and
signed miniature bats for $6 each. Jay can spend at most $12 to buy no more than 4
items. Create a system of inequalities to model this situation, and then graph the
solution set. Which solution results in Jay spending all his money to buy 4 items?
The solution results in Jay spending all his money to buy 4 items is (3, 1)
How to determine teh system of inequalitiesFrom the question, we have the following parameters that can be used in our computation:
Signed baseballs = x
Signed miniature bats = y
Using the above as a guide, we have the following:
2x + 6y <= 12
x + y <= 4
Next, we graph the system (see attachment)
The solution results in Jay spending all his money to buy 4 items is (3, 1)
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The yield to maturity (YTM) on Billy Bob, Inc.'s bonds was 6.02%. It was reported at interest rates rose 52 basis points. If BBI's bonds YTM changed by the same amount, what would you expect the YTM to be after the increase? (answer in % format to the nearest basis point, i.e. xx.xx, with no % sign needed).
BBI's bonds after the increase given the rise in basis points, would be 6. 54 %
What are basis points ?Basis points (bps) are a unit of measurement used to express the change in the value of a financial instrument, such as a bond or stock, or the difference in interest rates or yields. One basis point is equal to 0.01% (1/100th of 1%) and is used to express small changes in the value of a financial instrument.
A rise by 52 basis points would lead to BBI's bond YTM being:
= 6. 02 + 0.52
= 6. 54 %
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in the board game perfection, individuals must attempt to fit a number of shaped plastic pieces into their matching holes on a board before the buzzer goes off and makes the board spring upward. to make things interesting, a student sets the buzzer to a random time increment anywhere between 20 and 60 seconds. consider time until the buzzer sounds a random variable where any time between 20 and 60 has an equal likelihood.
The probabilities are equal, the expected time until the buzzer goes off simplifies to E(X) = 40.5.
Let X be a random variable representing the time until the buzzer goes off. X follows a uniform distribution, since any time between 20 and 60 seconds is equally likely. This can be represented by the formula P(X=x) = 1/41, where 41 is the total number of possible times (41 = 60 - 20 + 1).
Using this formula, the probability of the buzzer going off at any particular time can be calculated. For example, the probability of the buzzer going off at 23 seconds is P(X=23) = 1/41. The expected time until the buzzer goes off can also be found by taking the sum of each possible time multiplied by its individual probability. This is calculated as E(X) = Σ(x*P(X=x)). Since all the probabilities are equal, the expected time until the buzzer goes off simplifies to E(X) = 40.5.
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Which of these statements is true?
Answer:A and V
correct me if I’m wrong
Or give me more information about the question