when "If P, then Q" is true, "if not Q, then not P¨ is also true.
So the given statement is true.
The statement is true or false?
Let's suppose we have a conditional statement:
If P, then Q.
That is true.
The statement says that:
If not Q, then not P.
Is also true.
Now, let's go to the original conditional statement.
"If P, then Q"
This means that always that P is true, then Q must also be true. But we can have cases where P is false and Q is true. (this means that Q can't be true if P is not true).
Now, if we affirm that Q is false (or not Q is true, these are the same thing). Then we must have that P is also false (or not P is true).
So the given statement is true.
when:
If P, then Q
is true.
if not Q, then not P¨
is also true.
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Solve for m.D:
D (9x-44)
X =
(6x+7)
Answer:
m∠D = 109
Step-by-step explanation:
This is a parallelogram.
In parallelograms, the opposite interior angles are congruent, so we can write the following equation to find, first value x the measure of m∠D:
9x - 44 = 6x + 7
Transfer like terms to the same side of the equation.9x - 6x = 7 + 44
Add/subtract.3x = 51
Divide both sides by 3x = 17
Now we can calculate measure of m∠D:
m∠D = 9x - 44
Rewrite equation using the value we found for x.9×17 + 44 = 109
PLEASE HELP 13 PTS
Which of the following would best complete the diagram above?
A/ Proclamation line secured
B/ Taxation of the colonists
C/ Albany Plan of Union
D/ Causes of the American Revolution
Answer:
A. Proclamation line secured
Step-by-step explanation:
The proclamation line has been secured based on the two maps provided.
The exchange rates between pounds, Singapore dollars and Hong Kong dollars are shown below. 1 Singapore dollar = £0.58 £1 = 10.50 Hong Kong dollars Tsion bought a watch in Singapore for 72 Singapore dollars. Ibrahim bought the same model of watch in Hong Kong for 399 Hong Kong dollars. What is the difference between the amounts that Tsion and Ibrahim paid for their watches? Give your answer in pounds.
The Difference in the amounts that Tsion and Ibrahim paid for their watches is £3.85.
To find the difference in the amounts that Tsion and Ibrahim paid for their watches, we need to convert the prices to the same currency. We can use the exchange rates given to convert both prices to pounds.
1 Singapore dollar = £0.58
72 Singapore dollars = 72 x £0.58 = £41.76
1 Hong Kong dollar = £0.09
399 Hong Kong dollars = 399 x £0.095 = £37.91
Therefore, Tsion paid £41.76 for the watch and Ibrahim paid £37.91 for the same model of watch.
To find the difference in the amounts paid, we can subtract the smaller amount from the larger amount:
£41.76 - £37.91 = £3.85
Therefore, the difference in the amounts that Tsion and Ibrahim paid for their watches is £3.85.
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Please help I’ll make you the brainiest
PLEASE HELP!!!!!!!!!
Answer:
maybe 3
2
Step-by-step explanation:
WILL GIVE BRAINLISY IF SOMEONE Answers
Answer: 1
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Help find the Domain and Range please!
Answer:
Domain would be -2, range would be 1.
1/2 minus (1/8+1/8) I need help can somebody give me advice on this
Answer: 38
Step-by-step explanation:
Subtract 1/8 from 1/2
12 - 18 is 38.
Steps for subtracting fractions
Find the least common denominator or LCM of the two denominators:
LCM of 2 and 8 is 8
Next, find the equivalent fraction of both fractional numbers with denominator 8
For the 1st fraction, since 2 × 4 = 8,
12 = 1 × 42 × 4 = 48
Likewise, for the 2nd fraction, since 8 × 1 = 8,
18 = 1 × 18 × 1 = 18
Subtract the two like fractions:
48 - 18 = 4 - 18 = 38
Solve x to the nearest tenth
The value of x is 4.47 units
In the given figure, there are two right angle triangle, to find the value of x we have to solve each triangle using the Pythagorean theorem.
Consider the bottom triangle
Base of the triangle = 6 units
The hypotenuse of the triangle = 9 units
Apply the Pythagorean theorem
The third side of the triangle = \(\sqrt{9^2-6^2}\)
= \(\sqrt{81-36}\)
= \(\sqrt{45}\) units
Similarly consider the top triangle
The base of the triangle = 5 units
The hypotenuse of the triangle = \(\sqrt{45}\) units
The third side of the triangle = \(\sqrt{\sqrt{45}^2- 5^2}\)
= \(\sqrt{45-25}\)
= \(\sqrt{20}\)
= 4.47 units
Hence, the value of x is 4.47 units
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please help me. marking brain list
Answer:
1.23=4f+5
=4d=23-5=18
=d=18/4=4.5
2.3w+15=45
=3w=45-15=30
=w=10
Reasoning Solve the system of linear equations using substitution. Use pencil and paper. Which expression would be easier to substitute into the other equation, in order to solve this problem? Explain your reasoning.
x= 8y - 2
x + 8y = 7
The value of x IS 5/2.
The value of y is 9/16.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
x = 8y - 2 _____(1)
x + 8y = 7 ______(2)
Substitute (1) in (2).
8y - 2 + 8y = 7
16y - 2 = 7
16y = 7 + 2
16y = 9
y = 9/16
Now,
Substitute y = 9/16 in (1).
x = 8 x 9/16 - 2
x = 9/2 - 2
x = (9 - 4) / 2
x = 5/2
Thus,
The value of x and y are 5/2 and 9/16.
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What's the calculation for an F ratio?
The requried to calculate an F ratio, we need to perform an analysis of variance (ANOVA) test.
To calculate an F ratio, we need to perform an analysis of variance (ANOVA) test. The F ratio is the ratio of two variances, and it is calculated by dividing the mean square of the between-group variability by the mean square of the within-group variability.
The formula for the F ratio is:
F = MSB / MSW
Where MSB is the mean square of the between-group variability and MSW is the mean square of the within-group variability.
The F ratio is used to test the null hypothesis that the means of the groups are equal. If the F ratio is greater than the critical value for a given level of significance (based on the degrees of freedom), we reject the null hypothesis and conclude that at least one group's mean is different from the others.
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how mamy times can you subtract 10 from a hundred?
You can substract 10 from 100 ten times :)
Answer:
10
Step-by-step explanation:
100 - 10 = 90 ( 1 )
90 - 10 = 80 ( 2 )
80 - 10 = 70 ( 3 )
70 - 10 = 60 ( 4 )
60 - 10 = 50 ( 5 )
50 - 10 = 40 ( 6 )
40 - 10 = 30 ( 7 )
30 - 10 = 20 ( 8 )
20 - 10 = 10 ( 9 )
10 - 10 = 0 ( 10 )
we subtract 10 from 100 10 times
Henry made the scatterplot shown.
The scatterplot shows the data points, and it also shows the linear model that
Henry drew. Which statement best describes the linear model?
A The linear model describes the data well because points are scattered above
and below the line.
B The linear model describes the data well because all the points are close to
the line.
C The linear model does not describe the data well because the line does not
go through any of the points.
D The linear model does not describe the data well because most of the points
are located above the line.
Answer: The linear model does not describe the data well because most of the points are located above the line.
Step-By-Step Explanation: The scatterplot shows the data points, and it also shows the linear model that Henry drew.
Help!!! I don’t get this
S, sample space :
all the possible outcomes of an experiment
number × sampel space = 8
Answer :
D. HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
*answer can get from the list of sample space (in pic)
Answer :
A.
* answer can get from the final of tree diagram (in pic)
CAN SOMEONE PLZ HELP ME!!
Jade placed ice cubes into a glass of water and measured the new volume of water in the glass. She started with 4 ounces of water in a 16-ounce glass. Jade observed a linear association between the number of ice cubes and the volume of water in the glass. Which could be the graph of Jade's data?
Answer:
It would be on the top right
Step-by-step explanation:
As you add more ice cubes, ice has volume as well which will increase the volume of water.
Please help im confused on the last question on my warm up!
Answer:
Choice B: Only (-1,-5)
Step-by-step explanation:
With this one, first the equation needs to be reduced into point-slope format.
y+5=2(x+1)
Distributive Prop.
y+5=2x+2
Carry over the 5 to the opposite side.
y=2x-3
Now, with the point slope form, it makes it easier to plug in the question choices to find which if any are correct.
Choice A: X is 5; Y is 10
y=2x-3
y=2(5)-3
y=10-3
y=7
This does not give a y value of 10, so it is false.
Choice B: X is -1; Y is -5
y=2(x)-3
y=2(-1)-3
y= -2-3
y= -5
This does give a y value of -5, so it is true. Choices C and D are therefore false as well, since only Choice B works.
need help with this
Answer:
What is questions?
Step-by-step explanation:
What is questions?
HELPPPPPPPPPPPPPPP!!!!!!!!
Given, x = 4, y = 10
Then, 6x-3x+5-y
= 6(4)-3(4)+5-10
= 24-12+5-10
= 7
The answer wil be 7
a. is the total time reduced if the time for the FP operations is reduced by 20%? b. By how much is the time for integer (INT) operations reduced if the total time is reduced by 20%? c. Can the total time be reduced by 20% by reducing only the time for the branch instructions?
The difference between the starting and ending grades is 0.90%
The time for integer (INT) operations reduced if the total time is reduced by 20% is 0.6667
The number of full (+00) stations on the curve is 66,666.
The difference between the starting and ending grades can be calculated as follows:
Difference = Ending Grade - Starting Grade
Difference = -2.85% - (-3.75%)
Difference = -2.85% + 3.75%
Now, let's perform the calculation:
Difference = 0.90%
Next, we need to determine the number of full stations on the curve. To do this, we divide the length of the curve by the rate of change of grade per station. The rate of change of grade per station is the difference between the starting and ending grades.
Length of Curve = 600 feet
Rate of Change of Grade per Station = Difference
Now, let's calculate the number of full stations:
Number of Full Stations = Length of Curve / Rate of Change of Grade per Station
Number of Full Stations = 600 feet / 0.90% = 0.6667
To convert the rate of change of grade from a percentage to a decimal, we divide by 100:
Number of Full Stations = 600 feet / (0.90% / 100)
Number of Full Stations = 600 feet / (0.0090)
Calculating this expression gives us the number of full stations on the curve.
Number of Full Stations = 66,666.67
Therefore, we round down the number of full stations to the nearest whole number, which gives us:
Number of Full Stations = 66,666 (rounded down)
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Complete Question:
Another pitfall cited is expecting to improve the overall performance of a computer by improving only one aspect of the computer. Consider a computer running a program that requires 250 s, with 70 s spent executing FP instructions, 85 s executed L/S instructions, and 40 s spent executing branch instructions.
1. By how much is the total time reduced if the time for FP operations is reduced by 20%?
2. By how much is the time for INT operations reduced if the total time is reduced by 20%?
3. Can the total time can be reduced by 20% by reducing only the time for branch instructions?
The ratio of boys to girls at HMS is 4:5. If there are 365 girls at HMS, how many boys are there?
Answer:
292:365 boys:girls
Step-by-step explanation:
boys = girls - 20%
20% of 365 is 73
375 - 73 is 292
What are the vertical and horizontal asymptotes of F x )= 3x 2 x 2 4?
As given by the question , so here the vertical and horizontal asymptotes are at x = -12 and y = 1.5.
What is vertical asymptote?On a function graph, a vertical asymptote represents the point at which the function is undefined. Take the formula f(x) = 1/x as an illustration. This function's graph exhibits a vertical asymptote at x = 0 since the function is undefined at this value (division by 0 is undefined).
What is horizontal asymptote?A function's horizontal asymptote is a horizontal line on the function graph that the function approaches as the input (x-value) increases or decreases dramatically. Consider the function f(x) = x2 as an illustration. Because the y-values of the function do not converge to a fixed value as x grows very big, the graph of this function lacks a horizontal asymptote.
We must identify the values of x at which the function is undefined in order to determine the vertical asymptotes of the function 3x/(2x+24).So, to find the vertical asymptotes of the function, we need to solve the equation 2x + 24 = 0 for x. so x = -12.
Similarly, To find the horizontal asymptote in case of equal degrees of numerator and denominator i.e 1 in this case, we need to take the ratio of the first coefficients of numerator and denominator respectively which is 3/2 = 1.5.
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YEAR 8 TRANSFORMATIONS MATHS HELP PLease
Clockwise rotation 90° about the center of (4,3)
From the given figure,
A, B, C: (1,6) (3,8) (5,6) transform to A'B'C' (7,6) (9,4) (7,2)
Apply clockwise 90° rotation formula:
x' = (y - y₀) + x₀
Where x represent s original position and
x₀ represents center
Therefore,
⇒ y' = - (x - x₀) + y₀
For A (1,6) ⇒ A' (7 , 6)
7 = (6 - y₀) + x₀ x₀ - y₀ = 1 ... (1)
6 = - (1 - x₀) + y₀ ⇒ x₀ + y₀ = 7 ... (2)
From (1) + (2):
2 x₀ = 8 ⇒ x₀ = 4
From (2)-(1):
2 y₀ = 6 ⇒ y₀ = 3
Rotation center is (4 , 3).
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Deena deposited $48 in a new bank account. After buying groceries, she had $19 left in the account. Then she paid her cell phone bill, which was $31. Select all the true statements about Deena’s account.
To start, Deena had a positive balance.
In this situation, 0 represents an empty bank account.
After paying for groceries, Deena had a negative balance.
After paying her cell phone bill, Deena had –$12 in the account.
The smallest balance in the account was $19.
Step-by-step explanation:
Step one:
given data
amount deposited=$48
after the purchase of groceries
account balance= $19
cell phone bill, which= $31
Step two:
The account balance after paying for groceries will be
=19-31= $-12
she will have a deficit of $12, hence a negative account balance
To start, Deena had a positive balance. -------True
In this situation, 0 represents an empty bank account. -----True
After paying for groceries, Deena had a negative balance. ---True
After paying her cell phone bill, Deena had –$12 in the account. ...True
The smallest balance in the account was $19. ....True
Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2chocolates left. Write an equation showing how many friends were at the party.
The function that represents the graph above is... (circle one from the options below)
a. f(x) = -(x + 3)²-1
b. f(x)=(x+3)²-1
C. f(x)= (x-3)2 -1
Option b. f(x) = (x + 3)² - 1 represents the given graph based on its matching shape, vertex, and direction of opening.
Based on the options provided, the function that represents the graph above is b. f(x)=(x+3)²-1.
To determine the correct option, let's analyze the given graph. We observe that the graph is a parabola that opens upward and has its vertex at the point (-3, -1).
This vertex represents the lowest point on the graph.
The general form of a quadratic function (parabola) is f(x) = ax^2 + bx + c, where a, b, and c are constants.
Comparing the graph to the options provided:
a. f(x) = -(x + 3)² - 1:
This option is incorrect because it has a negative sign in front of the squared term, which would result in a downward opening parabola. However, the given graph shows an upward opening parabola.
b. f(x) = (x + 3)² - 1: This option is correct because it matches the form of the graph, with the squared term (x + 3)² resulting in an upward opening parabola.
The vertex form of this function is f(x) = a(x - h)² + k, where (h, k) represents the coordinates of the vertex. In this case, (h, k) = (-3, -1).
c. f(x) = (x - 3)² - 1: This option is incorrect because it has a different value for the x-coordinate of the vertex.
The given graph shows the vertex at (-3, -1), not (3, -1).
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a 4.5 pound of apples costs $22.50. how many pounds for a dollar?
Answer:
.2 lbs
Step-by-step explanation:
4.5/22.5
0.2 pounds as 4.5 / 22.5 = 0.2
The probabilities of a positive response for two government programs from the citizens in eight cities are given in the table.
City
Atlanta
Positive Response Positive Response
for Program 1(%) for Program 2 (96)
77. 80
82. 10
86. 40
86. 60
Boston
Chicago
Dallas
65. 90
87. 50
73. 80
80. 90
69. 70
79. 40
78. 40
88. 10
Houston
Los Angeles
Miami
Newark
82. 50
82. 60
81. 40
83. 30
Total
68. 80
81. 70
The chance that a positive response is obtained from Chicago for program 1 is (blank) %. The chance that a positive response is obtained
from Chicago for program 2 is
(Blank) %.
The number of individuals in Chicago that will respond positively to Program 2 is 22 out of 25.
How to illustrate the information?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
Given that the chances of a positive response from Chicago residents to two government programs are 65.9% for Program 1 and 87.5% for Program 2, the likelihood of a positive response for Program 2 given that the person is from Los Angeles must be calculated as follows:
87.5 100 = X
43.75 / 50 = X
21.875 / 25 = X
Therefore, 22 out of 25 individuals in Chicago will respond positively to Program 2.
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Automata Theory:
Give a formal description of \( \bar{L} \) where \( \Sigma=\{a, b\} \) and \( L=\{\lambda, a, b, a a, b b, a b, b a\} \).
The language \(\bar L\) is the complement of the language L. It consists of all strings over the alphabet Σ= {a,b} that are not in L.
The language L is defined as L= {λ,a,b,aa,bb,ab,ba}. To find the complement of L, we need to determine all the strings that are not in L.
The alphabet Σ= {a,b} consists of two symbols: 'a' and 'b'.
Therefore, any string not present in L must contain either symbols other than 'a' and 'b', or it may have a different length than the strings in L.
The complement of L, denoted by \(\bar L\). includes all strings over Σ that are not in L.
In this case, \(\bar L\) contains strings such as 'aaa', 'bbbb', 'ababab', 'bbba', and so on.
However, it does not include any strings from L.
In summary, \(\bar L\) is the set of all strings over Σ={a,b} that are not present in L.
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Which of the following is in the solution set of the inequality x + 13 < 9?
A 22
B. -22
C. 4
D. -4
Answer: B.x = -22
x + 13 < 9
⇔ x < 9 - 13
⇔ x < -4
=> x ∈ {-∞; -4}
=> x = -22
Step-by-step explanation:
Answer:
Step-by-step explanation:
x + 13 < 9
x < - 4
(B). - 22