What is the correct answer to the following blanks to prove that for all subsets A and B of X, F(A ∩ B) ⊆ F(A) ∩ F(B) given let X and Y be any sets, and let F be any function from X to Y?
Answers
In step 2, it's shown that x ∈ A ∩ B, so in step 3, it follows by the definition of set intersection that x ∈ A and x ∈ B.
Then in step 4, by definition of image of an element, both F(x) ∈ F(A) and F(x) ∈ F(B).
The rest of the proof follows.
Related Questions
In the sequence generated by the formula a, = n -4, which term has a value of 8?
O the second term
the fourth term
the eighth term
O the twelfth term
Answers
Answer:
twelth term
Step-by-step explanation:
trust me dude
Answer:
Trust the person up there it was the twelfth term or D on Edge
Step-by-step explanation:
D.
7.75 times ( -1 2/3)
Answers
Answer:
-12.9166666666667
Step-by-step explanation:
(The 6 is repeating do not add the 7)
please help 30pt
Find the common difference of the sequence shown.
Answers
Answer:
1/6
Step-by-step explanation:
The common difference of the given sequence is 1/6.
If a sequence has a constant common difference throughout the sequence, then the sequence is called Arithmetic Progression.
Where 'd' is the common difference of the A.P.
Similarly, finding the common difference of the given sequence
Hope this helps, if so please mark brainliest.
Solve for ? To make a no solution problem
Answers
Suppose we are interested in surveying the problematic water pipes in New York City. It is known that 10% of the NYC water pipes have some problems. City officials develop a non-intrusive test machine to scan the underground pipes. The machine correctly identifies 95% of the problematic sites (i.e. the machine says the pipe has a problem for a site that in fact has an issue), but it wrongly identifies 5% of the sites as problematic (i.e. machine says the pipe has a problem for a site that does not have an issue with the probability of 5%). What is the probability that a site has no problem when the machine says that the pipe at the site has no issue
Answers
Answer:
The probability that a site has no problem when the machine says that the pipe at the site has no issue is
0.905
Step-by-step explanation:
Confidence level = 95%
Error level = 5% (1 - 95%)
Since the probability that the machine says the pipe has a problem for a site that in fact has an issue = 95% and the pipe has a problem in 10% of the case, this means that the pipe has a problem in exactly 0.095 (10% * 95%).
Therefore, the probability that a site has no problem when the machine says that the pipe at the site has no issue = 0.905 (1 - 0.095).
If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 4 miles?
7,040 yards
15,840 yards
21,120 yards
63,360 yards
Help me pleasee!!!
Answers
Answer:
Your answer is A 7,040 yards.
Step-by-step explanation:
-1.5(4x+1) >_ 4.5-2.5(x+1)
Answers
Answer:
x< 11/7
Step-by-step explanation:
Find 3 times 146 show your work and explain.
Answers
Answer:
438
Step-by-step explanation:
Set it up, it is easier if you put the big number on top:
146
× 3
----------
Multiply 3 by 6 and put it under the line:
146
× 3
----------
18
Now multiply 3 by 40 and add it below the line also:
146
× 3
----------
18
120
Multiply 100 by 3 and also add it under the line:
146
× 3
----------
18
120
300
Now add 18 + 120 + 300:
146
× 3
----------
18
120
+ 300
-----------
438
Answer:
3 × 146 = 438
Step-by-step explanation:
see the screenshots below for an example. i hope this helped! good luck. :)
1. A taxi cab costs $4.50 for the first mile and $0.75 for each additional mile. Write & solve an equation that could be solved to find how many miles you can travel in a taxi for $30, given that m is the number of additional miles?
Equation: 0.75 divided by 30
Solution:_______________________
PLEASE ANSWER THE WHOLE QUESTION!
Answers
Answer:
55x-5=78
Step-by-step explanation:
Use the diagram to complete the statement.
Answers
how would i solve this question step by step?
Answers
Answer:
$14696.14
Step-by-step explanation:
The formula for calculating the future value of an investment with continuous compounding is:
[tex]\boxed{\tt FV = PV * e^{r * t}}[/tex]
where:
FV is the future value of the investmentPV is the present value of the investment (the initial deposit) r is the annual interest ratet is the number of yearsIn this case, we have:
PV = $10000r = 5.5%=0.055 t = 7 yearsSo, the future value of the investment is:
[tex]\tt FV = 10000 * e^{0.055 * 7} = 14696.14[/tex]
Therefore, The amount after 7 years will be $ [tex]\boxed{\tt 14696.14}[/tex]
Miles per Gallon (dent variable?
What is the dependent variable?
At what speed is the F-150 most fuel efficient?
At what speed is the F-150 most fuel efficient?
Answers
Answer:
your answers are correct for dependent and independent variables
25 mph
Step-by-step explanation:
The independent variable is identified by the title on the horizontal axis.
The dependent variable is identified by the title on the vertical axis.
The F-150 is most fuel-efficient where its miles per gallon is highest. The peak of that curve appears to be at about 25 miles per hour.
I have a screenshot attached.
Answers
( 4, 6) -> right 4, up 6
( -4,6)-> left 4 , up 6
(6,-4)-> right 6, down 4
Answer:
(4,6) = right 4 up 6...(-4,6)= left 4 up 6 and the last one is up 6 left 4
Setting 7 over 3 equal to which ratio would result in a valid proportion?
9 over 4
18 over 42
42 over 18
49 over 9
Answers
Answer:
42 over 18
Step-by-step explanation:
Notice that the quotient 42 over 18 can be written in factor form as:
(2 * 3 * 7) / (2 * 3 * 3) and therefore, a pair of "2" factors and a pair of "3" factors from numerator and denominator can be cancelled, leaving the ratio 7 / 3 which is the one we were discussing.
La Tierra tiene una carga eléctrica neta que origina un campo en los puntos cerca de su superficie, y que es igual a 150 N/C, dirigido hacia el centro del planeta. (a) ¿Qué magnitud y signo de la carga tendría que adquirir un ser humano de masa 60 kg, para vencer su peso con la fuerza ejercida por el campo eléctrico terrestre? (b) ¿Cuál sería la fuerza de repulsión entre dos personas, cada una con la carga calculada en el inciso (a), separadas por una distancia de 100 m? ¿Es factible el uso del campo eléctrico de nuestro planeta como un medio para volar? ¿Por qué?
Answers
The force of repulsion between two people, each with the charge calculated in part (a), separated by a distance of 100 m, is approximately 0.0152 N.
The Earth has a net electric charge that generates a field near its surface, which is equal to 150 N/C directed towards the center of the planet. Let's address the questions:
(a) To overcome the weight of a human with the force exerted by the Earth's electric field, we need to calculate the electric force required.
The electric force (Fe) is given by the equation:
Fe = q * E
Where:
Fe is the electric force,
q is the charge, and
E is the electric field strength.
The weight (W) of the human is given by the equation:
W = m * g
Where:
W is the weight,
m is the mass of the human, and
g is the acceleration due to gravity.
Since the electric force and weight should be equal to achieve equilibrium, we have:
Fe = W
Therefore:
q * E = m * g
Rearranging the equation, we can solve for q:
q = (m * g) / E
Substituting the given values:
q = (60 kg * 9.8 m/s²) / 150 N/C
Calculating the value:
q ≈ 3.92 × 10⁻³ C
The charge required for a human to overcome their weight with the Earth's electric field is approximately 3.92 milli Coulombs. The sign of the charge would depend on whether the charge is positive or negative.
(b) To calculate the force of repulsion between two people with the charges calculated in part (a), we can use Coulomb's Law. Coulomb's Law states that the force of repulsion between two charges is given by:
F = k * (|q1| * |q2|) / r²
Where:
F is the force of repulsion,
k is the electrostatic constant (9 × 10^9 N m²/C²),
q1 and q2 are the charges, and
r is the distance between the charges.
Substituting the values:
F = (9 × 10^9 N m²/C²) * (3.92 × 10⁻³ C)² / (100 m)²
Calculating the value:
F ≈ 1.52 × 10⁻² N
The force of repulsion between two people, each with the charge calculated in part (a), separated by a distance of 100 m, is approximately 0.0152 N.
As for the feasibility of using the Earth's electric field as a means of flying, it is not practical. The magnitude of the electric field near the Earth's surface is relatively weak, and the forces involved are insufficient to counteract the weight of a human. Additionally, the charges required for such an effect would be extremely large and potentially dangerous. The Earth's electric field cannot be effectively used as a medium for flying.
Evaluate 7+2 times 4
Answers
if it is (7+2)•4 your answer is 36.
if it is 7+2•4, then your answer would become 7+8, which is 15.
Answer:
36
Step-by-step explanation:
7+2= 9
9x4= 36
can someone answer? i’ll mark brainliest
Answers
Answer:
f(n) = -3n + 24
Step-by-step explanation:
-3n + 24
-3 x 1 = -3 + 24 = 21
-3 x 3 = -9 + 24 = 15
-3 x 6 = -18 + 24 = 6
-3 x 7 = -21 + 24 = 3
3(x - 1) = 2(x +9)
Answers
Answer:
x = 21
Step-by-step explanation:
Step 1: Write equation
3(x - 1) = 2(x + 9)
Step 2: Solve for x
Distribute: 3x - 3 = 2x + 18Subtract 2x on both sides: x - 3 = 18Add 3 to both sides: x = 21Step 3: Check
Plug in x to verify it's a solution.
3(21 - 1) = 2(21 + 9)
3(20) = 2(30)
60 = 60
James can read 520 words in 2 minutes.
Luke can read 960 words in 5 minutes. At
what rates are James and Luke able to read?
Answers
James's rate is 260 words per Minute and Luke's rate 192 words per minute.
What is a definition of rate?a quantity, amount, or degree of something measured per unit of something else. Her typing speed was 80 words per minute.: a payment or charge based on another sum Specifically, the premium amount per unit of insurance.The rate at which a variable changes over a given time period. It is frequently used when discussing momentum, and it can be defined as a ratio of a change in one variable to a comparable change in another. This ratio is represented graphically by the slope of a line.James can read 520 words in 2 minutes.
i.e. James can read 260 words per Minute.
Luke can read 960 words in 5 minutes.
i.e. Luke can read 192 words per minute.
To learn more about Rate refer,
https://brainly.com/question/119866
#SPJ2
James's rate is 260 words per Minute and Luke's rate 192 words per minute.
What is a definition of rate?a quantity, amount, or degree of something measured per unit of something else. Her typing speed was 80 words per minute.: a payment or charge based on another sum Specifically, the premium amount per unit of insurance.The rate at which a variable changes over a given time period. It is frequently used when discussing momentum, and it can be defined as a ratio of a change in one variable to a comparable change in another. This ratio is represented graphically by the slope of a line.James can read 520 words in 2 minutes.
i.e. James can read 260 words per Minute.
Luke can read 960 words in 5 minutes.
i.e. Luke can read 192 words per minute.
To learn more about Rate refer,
brainly.com/question/119866
#SPJ2
1.
If I have £400 and I give 15% of the total to charity, how much does the charity
receive?
Answers
a/400 = 15/100; multiply: 400•15= 6000; then divide: 6000/100=60
So we now know that the answer to your problem is that the Charity receives £60
The surface area of the United States is 3.797 million square miles. The state of Alaska, our largest state in terms of area, occupies 655,400 square miles. Using ratios, determine what percentage of the surface area of the United States is occupied by Alaska, rounded to the nearest whole number.
Answers
Alaska occupies 17.22% of the surface area of the United States. Rounding to the nearest whole number, we get 17%. Hence, the answer is:17%
We are given that the surface area of the United States is 3.797 million square miles and the state of Alaska occupies 655,400 square miles. We need to determine what percentage of the surface area of the United States is occupied by Alaska using ratios.To find the percentage, we need to first find the ratio of Alaska's surface area to the surface area of the United States. We can do this by dividing the surface area of Alaska by the surface area of the United States. That is,655,400 / 3,797,000 = 0.1722We can express this ratio as a percentage by multiplying by 100. That is,0.1722 × 100 = 17.22%
For more such questions on surface area
https://brainly.com/question/30739454
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Which transformation carries the pentagon onto its
O a reflection across the x-axis
O a reflection across the y-axis
O a reflection across the line x=1
O a reflection across the line y =1
Answers
What is the product of these fractions in lowest term?
5/10 x 4/5
Answers
= 4/10
= 2/5
So, the answer in simple terms is 2/5
PLEASE help if you can do both or just one I really need help
Answers
Answer:
the second one is 1 7/8 or 15/8 the first one is 3
Step-by-step explanation:
I will mark Brainliest to the quickest AND right answer!
2x + 7 ≥ 27
Answers
Answer:
x≥-5
Step-by-step explanation:
Because 3*-5 is -15-10 is -25 therefore it can be -5 or any number smaller than -5 because ≥ means greater than or equal to
find two numbers whose product is 10 and whose sum is 7
Answers
Answer:
5 and 2
Step-by-step explanation:
5+2=7
5 times 2= 10
The two numbers whose product is 10 and whose sum is 7 are 5 and 2.
Let the two numbers required be x and y.
If the product of the two numbers is 10, then:
xy = 10 ...... 1
If the sum of the numbers is 7, then:
x + y = 7.... 2
Solve both equations simultaneously
From equation 2,
y = 7-x ... 3
Substitute equation 3 into 1 to have:
x(7-x) = 10
Expand
7x - x² = 10
Rearrange in standard form
x² - 7x + 10 = 0
Factorize
x² - 5x - 2x + 10 = 0
x(x-5)-2(x-5) = 0
(x -5)(x-2) =0
x - 5 = 0 and x - 2 = 0
x = 5 and 2
If x = 5:
y = 7 - 5
y = 2
Hence the two numbers whose product is 10 and whose sum is 7 are 5 and 2.
Learn more on simultaneous equation here: https://brainly.com/question/16924103
| |x-4|-2|<3 I need help with this absolute value
Answers
Answer:
-1 < x < 9
Step-by-step explanation:
Eliminate the outer absolute value symbol.
-3 < |x -4| -2 < 3
Add 2
-1 < |x -4| < 5
We know that no absolute value can be negative, so this is fully equivalent to ...
|x -4| < 5
Eliminate the absolute value symbol.
-5 < x -4 < 5
Add 4
-1 < x < 9
___
For the graph, we graph the inequality ...
||x -4| -2| -3 < 0
The zero crossings are easy to find in this graphing calculator.
can someone help- what does these equation mean? (-9)(-2) | -20/5 | (-3)(6)
Answers
18•4•-18
-1296
Anything in between l l is positive because that is absolute value.
Pls help!
Whoever answers in a few minutes with a clear answer will be marked brainiest!!!
Use exponent laws to write each expression with a positive power
Answers
Answer:
a. [tex]\tt \frac{1}{9}[/tex]
b. [tex]\frac{1}{16}[/tex]
c. 4
Step-by-step explanation:
[tex]\tt a. \:3^{-2}[/tex]
We can use the negative exponent rule, which states that [tex]\boxed{\tt a^{-n} = \frac{1}{a^n}}[/tex] So, we have:
[tex]\tt 3^{-2} = \frac{1}{3^2} = \frac{1}{9}[/tex]
[tex]\hrulefill[/tex]
[tex]\tt b.\: -2^{-4}[/tex]
We can use the rule that [tex]\boxed{\tt -a^{-n} = (-1)^n \cdot a^n}.[/tex] So, we have:
[tex]\tt -2^{-4} = (-1)^4 \cdot 2^{-4} = 1 \cdot \frac{1}{2^4} = \frac{1}{16}[/tex]
[tex]\hrulefill[/tex]
[tex]\tt c. \:(\frac{1}{2})^{-2}[/tex]
We can use the negative exponent rule, which states that [tex]\boxed{\tt a^{-n} = \frac{1}{a^n}}[/tex]. So, we have:
[tex]\tt (\frac{1}{2})^{-2} = \frac{1}{(\frac{1}{2})^2} = \frac{1}{\frac{1}{4}} = 4[/tex]
Answer:
Step-by-step explanation:
(a) 3^-2 = 1/9
(b) (-2)^-4 = 1/(-2)^4 = 1/16
(c) (1/2)^-2 = 1/(1/2)^2=1 / 1/4 = 4
can someone help i need step by step so i can understand. thank you
Answers
Answer:
The answer is Y=5
Step-by-step explanation:
[tex]\frac{y}{4} =\frac{10}{8}[/tex]
[tex]y=\frac{10}{8}*4[/tex]
[tex]y=\frac{10}{4*2}*4[/tex] (8=4*2)
[tex]y=\frac{10}{2}[/tex]
[tex]y=5[/tex]
