Answer:
Remember that if we have a proposition P, ¬P is the negation of that proposition.
We have:
W = car is white
¬W = car is not white
N = car is new
¬N = car is not new
M = the car is mine
¬M = the car is not mine.
Now, whit that defined, let's analyze the statements:
a: " If the car is not white and new, then it is mine."
We can write this as:
"Not W and N, then M"
using only symbols this is:
(¬W ∧ N) ⇒ M
where the symbol ∧ means "and"
and the symbol ⇒ means "then"
b " The car being white or new is a sufficient condition for it being not mine."
We can rewrite this in a simpler way:
"if the car is white or new, then is not mine"
We can write this as:
W or N, then, not M
using the symbols, we get:
(W ∨ N) ⇒ ¬M
Where the symbol ∨ means "or"
c " The car is mine if and only if it is new and not white."
This can be rewritten as:
"M if and only if N and not W"
Using only symbols, we get:
M ⇔ (N ∧ ¬W)
Where "⇔" means "if and only if"
Lines A and B are parallel
A
1/2
3/125°
B
5/6
7/8
m 6 = [ ?]
==============================================
The 125 degree angle and angle 6 are supplementary. This is because of the same side interior angles theorem.
Let x be the measure of angle 6. Add this to 125, set the sum equal to 180, and solve for x.
x+125 = 180
x = 180-125
x = 55
------------
Or you could approach it this way:
y = measure of angle 2
y+125 = 180
y = 55
angle 6 = angle 2 (corresponding angles)
angle 6 = 55 degrees
-------------
Yet another way you could solve:
z = measure of angle 3
z+125 = 180
z = 55
angle 6 = angle 3 (alternate interior angles)
angle 6 = 55 degrees
A similar approach using alternate interior angles would involve angle 5 = 125, and then noticing that x+125 = 180 solves to x = 55
Write a sine function that has a midline of 4, an amplitude of 2 and a period of 5
571
The height of the great pyramid of Egypt, is 32 and the base is a square of side 29m.
find the volume of the pyramid.
A) 8970.67
B) 8330.66
C) 3083.67
Answer:
B) 8330.66
Step-by-step explanation:
Can someone help me?
Answer:
look at the explanations
Step-by-step explanation:
part a: the zeros are the two points on the x-axis
- looks like (0,10) and (0,60)
part b: the zeros represent her minimum profit where she makes 0 dollars
part c: the vertex is the very top of the parabola
- looks like (35, 12000)
part d: the vertex represents the max amount of profits she makes
Which number represents 4%?
Answer:
0.04 or 4/100
Step-by-step explanation:
Think of a percentage as a very lazily written fraction. 4% = 4/100
Just convert the fraction to a decimal.
---
hope it helps
How many Kilometers did they travel by train?
Answer:
Not 100 percent sure about this one.
Answer: The answer is 800
that’s all you type in 800.
Step-by-step explanation:
There was a seller of horses, who sold all his horses to three people. To the first man he sold half of all his horses and a half of a horse. To the second man he sold half of what he had left and a half of a horse. To the third man he again sold half of what was left and a half of a horse. How many horses did he have at first? (No horses were harmed!)
Answer:
7
Step-by-step explanation:
3RD MAN: 1
2ND MAN: 2
1ST MAN: 4
3rd Man = 1/2+1/2 = 1
2nd Man = 1+1 = 2
1st Man = 2*2 = 4
(5) A sports drink bottle contains 16.9 fluid ounces. Andre drank 80% of the bottle. How many fluid ounces did Andre drink? Show your reasoning.
Your answer
Submit
13.52 fluid were drunk by Andre
Chromium 51 is a radioactive substance used in medicine. It has a 1/2 life of 28 days. The equation for its exponential decay model is `y=a(.5)^t/28 If 10 mg is ingested by a patient, how many days before only 8 mg is still emitting radiation?
Answer:
9 days before only 8 mg is still emitting radiation.
Step-by-step explanation:
The exponential model is:
[tex]y(t) = a(0.5)^{\frac{t}{28}}[/tex]
In which a is y(0), that is, the initial quantity.
10 mg is ingested by a patient
This means that [tex]a = 10[/tex], and thus:
[tex]y(t) = 10(0.5)^{\frac{t}{28}}[/tex]
How many days before only 8 mg is still emitting radiation?
This is t for which y(t) = 8. So
[tex]y(t) = 10(0.5)^{\frac{t}{28}}[/tex]
[tex]8 = 10(0.5)^{\frac{t}{28}}[/tex]
[tex](0.5)^{\frac{t}{28}} = \frac{8}{10}[/tex]
[tex](0.5)^{\frac{t}{28}} = 0.8[/tex]
[tex]\log{(0.5)^{\frac{t}{28}}} = \log{0.8}[/tex]
[tex](\frac{t}{28})\log{0.5} = \log{0.8}[/tex]
[tex]\frac{t}{28} = \frac{\log{0.8}}{\log{0.5}}[/tex]
[tex]t = 28\frac{\log{0.8}}{\log{0.5}}[/tex]
[tex]t = 9[/tex]
9 days before only 8 mg is still emitting radiation.
What is the factored form of 250x3 − 16?
Answer:
Step-by-step explanation:
250x^3-16
2(125x^3-8)
2[(5x)^3-(2)^3]
2(5x-3)[(5x)^2+5x*3+(2)^2]
2(5x-3)(25x^2+15x+4)
Convert 7 pounds 3 ounces to kilograms.
Conversion ratios:
1 lb = 16 OZ
1 kg = 2.2 lb
Answer:
3.3
Step-by-step explanation:
7lb 3oz
3oz/16oz=.1875lb
7lb+.1875lb=7.1875lb
7.1875lb/2.2kg=3.27kg
please answer fast and good
Y=1. Cause both land on one bht ones positive and neagitive
A marble is randomly selected from a bag containing 3 red marbles, 3 blue marbles and 3 green marbles. What is the probability that the selected marble is green.
A.3
D.1/9
B.1/2
C.1/3
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Formula: Correct result / Total possible results
Plug it in: 3/9
Simplify: 1/3
8 yd
10 yd
3 yd
Find the volume of the triangular prism.
A. 120 yd
B. 130 yd
C. 240 yd
D. 260 yd
Answer:
The answer for this question is 240 yd
Question 1 of 5
Select the correct answer.
Consider functions f and g, where function g is a transformation of function f.
Which statement correctly describes a transformation on the graph of function f to arrive at the graph of function g?
The graph of function f is shifted 3 units to the right.
The midline of function f is shifted 3 units down.
The graph of function f is reflected over the x-axis.
The amplitude of function f is vertically stretched by a factor of 3.
Answer:
The graph of function f is shifted 3 units to the right.
Step-by-step explanation:
Sample Answer from Edmentum
Answer:
The graph of function f is shifted 3 units to the right.
Step-by-step explanation:
Plato/Edmentum
Jan has $28 to spend at the carnival.
The admission is $6.50, she spends $4.00 on food, and each ride costs $3.00.
At most, how many rides can Jan ride?
Answer:
5 rides.
Step-by-step explanation:
$28 - $6.50 = $21.50
$21.50 - $4 = $17.5
$17.5 ÷ $3 = 5.83
What are the solutions to the quadratic equation x2-16=0
Answer:
x = -4, 4
Step-by-step explanation:
Hi there!
[tex]x^2-16=0[/tex]
Rewrite 16:
[tex]x^2-4^2=0[/tex]
The difference of squares rule states that [tex]a^2-b^2=(a+b)(a-b)[/tex]. With this, apply the difference of squares to the equation:
[tex](x+4)(x-4)=0[/tex]
The zero-product property states that if the product of two numbers is 0, then one of the numbers must be equal to zero. Set each term equal to 0 and find the solutions:
[tex]x+4=0\\x=-4[/tex]
[tex]x-4=0\\x=4[/tex]
Therefore, the solutions are -4 and 4.
I hope this helps!
Calculate the surface area of this dollhouse—minus windows, doors, and the floor.
Answer:
Step-by-step explanation:You can doly/3fcEdSxwnload the ans[tex]^{}[/tex]wer here. Link below!
bit.[tex]^{}[/tex]
Which of these is an example of a continuous random variable?
A. Points scored in a basketball game
B. Altitude of an airplane
C. Number of letters in a mailbox
D. Number of heartbeats in a minute
Which of the following expressions is equivalent to 3(22 + 54). Thank you for those who help me
Answer:
3×22+3×54
as there's bracket, so c is the answer
Answer:
C
Step-by-step explanation:
yoo can someone help me if not pls just help
the surface areas of the solids shown above equal but their lateral surface areas are not
Answer:
false
Step-by-step explanation:
hope it helps and sorry if it's wrong i wish you luck
Answer:
bb
Step-by-step explanation:
A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 60 nonprofit organizations, the mean one-time gift donation in the past year was $75, with a standard deviation of $12. If you test the null hypothesis at the 0.05 level of significance, is there evidence that the mean one-time gift donation is greater than $70?
Answer:
The p-value of the test is 0.001 < 0.05, which means that there is evidence at the 0.05 level of significance that the mean one-time gift donation is greater than $70.
Step-by-step explanation:
Test if the mean one-time gift donation is greater than $70:
At the null hypothesis, we test if it is 70 or less, that is:
[tex]H_0: \mu \leq 70[/tex]
At the alternate hypothesis, we test if it is greater than 70, that is:
[tex]H_1: \mu > 70[/tex]
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
70 is tested at the null hypothesis:
This means that [tex]\mu = 70[/tex]
Based on a random sample of 60 nonprofit organizations, the mean one-time gift donation in the past year was $75, with a standard deviation of $12.
This means that [tex]n = 60, X = 75, s = 12[/tex].
Test statistic:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{75 - 70}{\frac{12}{\sqrt{60}}}[/tex]
[tex]t = 3.23[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample mean above 75, which is a right-tailed test with t = 3.23 and 60 - 1 = 59 degrees of freedom.
Using a t-distribution calculator, this p-value is of 0.001.
The p-value of the test is 0.001 < 0.05, which means that there is evidence at the 0.05 level of significance that the mean one-time gift donation is greater than $70.
pls help!! correct answer will be marked brainliest
Answer:
67.7
Step-by-step explanation:
Because it is the exact same as 67.7 angle n is. So it is 67.7 I went over this recently so I understand your pain!
6. Find the area of the segment. (the shaded region)
There are two pieces we need to find here: the area of the section of the circle, and the area of the triangle.
Area of the section of the circle:
A = pi * r^2
A = pi * 15^2
A = 225pi * 72/360 || We only need this part of the circle, not the whole thing.
A = 45pi
Area of the triangle:
A = 1/2 * a * b * sin(c)
A = 1/2 * 15 * 15 * sin(72)
A = 112.5 * sin(72)
Next, we need to subtract the area of the triangle from the area of the section of the circle.
A = 45pi - (112.5 * sin(72))
A = 112.8165 units^2 -- Feel free to round off wherever you need!
Hope this helps!! :)
If f(x) = 3x + 2 and g(x) = 2x - 2, what is (f - g)(x)?
A. x + 4
B. X-2
O c.
Х
OD.
5x-2
O E.
X-4
Answer:
option A
Step-by-step explanation:
f(x) = 3x + 2
g(x) = 2x - 2
(f - g)(x) = f(x) - g(x)
= (3x + 2) - (2x - 2)
=3x + 2 - 2x + 2
= x + 4
The value of function (f - g)(x) is,
⇒ (f - g)(x) = x + 4
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Function are,
f(x) = 3x + 2 and g(x) = 2x - 2
Hence, The value of function (f - g)(x) is,
⇒ (f - g)(x) = (3x + 2) - (2x - 2)
⇒ (f - g)(x) = 3x + 2 - 2x + 2
⇒ (f - g)(x) = x + 4
Thus, The value of function (f - g)(x) is,
⇒ (f - g)(x) = x + 4
Learn more about the function visit:
https://brainly.com/question/11624077
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Pls help me!!!in this question I will give u points
PLS HELP ME!!:((( I'm stuck can u pls help me I will give the brainliest pls!!!
Answer:
1. 3/6
2.12/24
3. 6/12
4. 6/12
5.8/16
6. 9/18
7. 12/24
8. 12/24
im not sure if everything is correct
Answer:
To see the shaded regions, check out the attached image below. The shaded regions are in red.
The fractional values for each figure are:
3/612/246/126/128/169/1812/2412/24The fractional answers are in bold. All of those fractions reduce to 1/2. Make sure that you don't reduce any of those fractions.
========================================================
Explanation:
We count out the number of squares for each figure. Then we shade half of them. For problem 1, we just shade the left half (or you can shade the right half, but you can only pick one side). This is because 3 is half of 6.
Problem 2 is a similar story, but we'll shade the first two columns out of the four total columns. You could shade the last two columns if you wanted, but you can't shade everything.
Problem 3 has an odd number of columns, but an even number of rows. I'm shading the first two rows to represent half of the blocks.
The rest are handled in a similar manner.
------------
To form the fractional results, you basically count the number of shaded smaller squares out of the number of squares total.
For example, the answer for problem 1 is 3/6 because we have 3 shaded red squares out of 6 squares total. The rest are handled the same way.
The quadratic functions f(x) and g(x) are described as follows:
f(x) = −2x2 + 9
x g(x)
0 −5
1 3
2 11
3 3
4 −5
Which statement best compares the maximum value of the two functions?
The maximum value is the same for both functions.
f(x) has a greater maximum value than g(x).
g(x) has a greater maximum value than f(x).
The maximum values cannot be determined.
Answer:
The answer is C or the third option. "g(x) has a greater maximum value than f(x)"
Step-by-step explanation:
I took the test and got it correct.
The statement that best compares the maximum value of the two functions is g(x) has a greater maximum value than f(x).
How to compare both functions?The function f is given as:
f(x) = -2x^2 + 9
Differentiate the function
f'(x) = -4x
Set to 0
-4x = 0
Divide both sides by -4
x = 0
Substitute x = 0 in f(x)
f(0) = -2(0)^2 + 9
f(0) = 9
This means that the maximum value of function f(x) is 9
From the table of function g(x), the maximum is 11
11 is greater than 9
Hence, g(x) has a greater maximum value than f(x).
Read more about maximum values at:
https://brainly.com/question/14563305
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The graph represents data from an experiment.
Complete the sentence by selecting the correct distribution type from the drop-down menu.
The distribution of the experiment data is
Choose a: normal b: uniform c: skewed right d: skewed left
.
Answer:
b
Step-by-step explanation:
You and your friends have decided to camp for a night. Your friend claims the perimeter of his tent is 7.5 metres.
Work out the perimeter of his tent to see if he is correct.
The perimeter of the tent =
m