Answer:
The shorthand that represent the contrapositive statement is ~F → ~A
Step-by-step explanation:
The parameters given are;
If it is not a fruit, then it is not an apple
The above is a logic statement which can be rewritten as a conditional statement as follows;
If something is an apple then it is a fruit
Which gives
If p then q
Where:
A = Apple
F = Fruit
Therefore, when we write;
If something is not a fruit, then it is not an apple
We have
~F → ~A
Which is a contrapositive conditional statement
The shorthand that represent the contrapositive statement is therefore, ~F → ~A.
How many seconds are in a day? Use the following unit conversions: 60 sec = 1 min 1 hr = 60 min 24 hr = 1 day A 150 B 1,440 C 3,600 D 86,400
Answer:
There are 86,400 seconds in a day. (Answer choice C)
Answer this ASAP please! Thanks!
Answer:
It is D.
Step-by-step explanation:
270 degrees counterclockwise is 90 degrees clockwise.
Graph y≤−2/3x+6. PLEASE I NEED HELP!!!!:((
Answer:
First graph -2/3x+6 (Slope of -2/3)
(Y intercept of 6)
Then shade everything under that line
A helicopter flies 665 feet above ground. What is the measure of the angle of depression from the helicopter to the girl’s line of sight? Round to the nearest degree. 23° 25° 65° 67°
Answer:
67°
Step-by-step explanation:
Given:
Height of helicopter from the ground, x = 665 feet
Distance from the helicopter to the girl's line of sight(opposite) = 665ft - 5 ft = 600 ft
Horizontal distance(adjacent) = 280 ft
To find the angle of depression, use the formula:
[tex] tan y = \frac{x}{y} [/tex]
Solve for y:
[tex]y = tan^-^1 (\frac{x}{y})[/tex]
[tex]y = tan^-^1 (\frac{660}{280}) = 67.01[/tex]
Angle of depression = 67°
Answer:
67 degrees
Step-by-step explanation:
A pool company is creating an image for a client that has the look of a 3-D image for a family pool and a similar dog pool. Find the value of x in the drawing below:
Answer:
x = 8
Step-by-step explanation:
==>Given that a family pool with a quadrilateral shape ABCD is similar with the dog pool EFGH, we can find the value of x by using the proportion of their corresponding sides.
Since ABCD ~ EFGH, the proportion of their corresponding sides are equal.
Thus, AB/EF = BC/FG = CD/GH = DA/HE
We have: 3/y = 4/3 = 5/z = x/6
Finding z:
4/3 = 5/z
Cross multiply
4*z = 5*3
4z = 15
z = 15/4
z = 3.75
Let's find x:
5/z = x/6
5/3.75 = x/6
Cross multiply
6*5 = x*3.75
30/3.75 = x
8 = x
x = 8
One number is 7 more than twice another. If their difference is 22, what is the larger number?
29
37
43
Answer:
Step-by-step explanation:
We'll write each one of these statements into an algebraic equation. The word "is" means "=", the words "more than" mean "+", and "difference" means subtraction. x will be one number, and y will be the other number. The first sentence, then, in an algebraic equation, is
x = 2y + 7
The second equation, then, is
x - y = 22
Since we know from the first equation what x is equal to, we will sub in what x equals into the second equation in place of x:
2y + 7 - y = 22 and
y + 7 = 22 so
y = 15.
Sub that in for y to solve for x:
x - 15 = 22 so
x = 37
Answer:
its 37
Step-by-step explanation:
What is the solution to the equation 2 (4 minus 3 x) + 5 (2 x minus 3) = 20 minus 5 x? x = –13 x = StartFraction 5 Over 4 EndFraction x = StartFraction 13 Over 2 EndFraction x = 3
Answer:
8 - 6x + 10x - 15 = 20 -5x
8 + 4x - 15 = 20 - 5x
8 - 15 = 20 - 9x
6 = 20 - 9x
-14 = -9x
divide by -9 .736
Step-by-step explanation:
The solution of the equation 2 (4 – 3x) + 5 (2x – 3) = 20 – 5x will be 3. Then the correct option is D.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
2 (4 – 3x) + 5 (2x – 3) = 20 – 5x
Simplify the equation, we have
2 (4 – 3x) + 5 (2x – 3) = 20 – 5x
8 – 6x + 10x – 15 = 20 – 5x
9x = 27
x = 3
Then the correct option is D.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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Quadrilateral
Wy has vertices W. 19), X10, 10x10,2), and 32,2). Determine if quadrilateral WXYZ is a rhombus,
Answer: no it’s not
Step-by-step explanation:
it’s a square
What does 8:8 equal?
Answer:
1
Step-by-step explanation:
8:8=1
Answer:
8:8 simplified is 1:1 or just 1 for short.
Which of the following expressions is equivalent to b x b? A. 2b B.) b^2 C.)2^b D.)2b^2
Answer:
B
Step-by-step explanation:
because b x b is equals to b raised to the power of 2
The expression that is equivalent to b x b will be b².
For this question to be solved, you simply have to multiply the values given. In this case, you're multiplying the same value twice and this will simply be raised to the power of 2.
Therefore, based on the question asked, b × b will be:
= b × b
= b²
Therefore, the value of b × b is b².
Read related link on:
https://brainly.com/question/16687046
A drawer contains 60 pairs of socks. Each pair is one of four colors. What is the minimum number of socks that must be drawn, at random, from the drawer to ensure that a pair of matching-color socks is selected?
Answer:
its 5
Step-by-step explanation:
think about it, if you pick 4 socks, it cold be all four different colors but if its 5 then there has to be at least one pair of matching socks so the answer is 5
find the circumference
Answer:
37.68 ft
Step-by-step explanation:
d = 2r = 2*6 = 12
so C = 3.14 * 12 = 37.68 ft
What is the area of the parallelogram if each square is 1 square foot? a. 12 ft ³ b. 12 ft ² c. 12 d. 12 feet
Answer:
12 ft² :)
Step-by-step explanation:
Area of a parallelogram = base * height
4 * 3 = 12
Area of the parallelogram = 12 ft²
For what values (cases) of the variables the expression does not exist: a/a-b
Answer:
The cases are when a-b = 0 and when a = b
Step-by-step explanation:
An expression is termed as undefined (not to exist) if the denominator of the expression is zero. Given the expression a/a-b, the denominator of the expression is a-b. For the expression to be undefined, the expression at the denominator must be equal to zero i.e a-b = 0
If a - b = 0, then a = 0+b; a = b
Another case for the function not to exist is if a = b
5.
Find the sum of all two - digit natural numbers which are divisible by 3.
Answer:
1665
Step-by-step explanation:
This is AP, where:
First term is: 12= 3*4Last term is: 99= 3*33Common difference is: 3Number of terms is: 33- 3= 30 (because the 4th term is included)S=1/2*30(12+99)= 1665The sum of all two - digit natural numbers which are divisible by 3 is 1665
Please answer this function !!!
Answer:
f(6)=-114Solution,
[tex]f(x) = - 4 {x}^{2} + 5x \\ f(6) = - 4 \times {6}^{2} + 5 \times 6 \\ \: \: \: \: \: \: = - 4 \times 36 + 30 \\ \: \: \: = - 144 + 30 \\ \: \: \: - 114[/tex]
hope this helps.
Good luck on your assignment..
Answer:
-114
Step-by-step explanation:
To find f(6), you need to plug in the value in parentheses wherever there is an x in the equation.
f(x) = -4x + 5x
f(6) = -4(6) + 5(6)
f(6) = -4(36) + 30
f(6) = -144 + 30
f(6) = -114
The answer is -114.
2. Emma is playing a game with two fair dice.
She needs to score 5, using both dice, to win the
game.
What's the probability she will win the game?
Answer:
The required probability is:
[tex]\dfrac{1}{9}[/tex]
Step-by-step explanation:
It is given that Emma has two fair dice.
To win, she needs to score 5 using both dice.
Cases, where she can have 5:
{(1,4), (4,1), (2,3), (3,2)}
Let the event be A that she gets a score = 5
Total number of favorable cases, n(A) = 4
Total number of cases for throw of 2 dice, n(S) = 36
These are:
{
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
}
Formula for probability of an event E is given as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
or
[tex]P(E) = \dfrac{\text{n(E)}}{\text {n(S)}}[/tex]
Using the above formula, the required probability:
[tex]P(A) = \dfrac{\text{n(A)}}{\text {n(S)}}\\\Rightarrow \dfrac{4}{36}\\\Rightarrow \dfrac{1}{9}[/tex]
So, the required probability is [tex]\dfrac{1}{9}[/tex].
Question 18 of 112
Rocky paid $18378.00 cash and traded-in his old car for $5442.00
What was the price of his new car? (Use the keypad to enter your answer.)
Answer:
23820$
Step-by-step explanation:
of a class of 32 students ,17 study music and 20 studyart what is the least number of students who could study both music and art
Answer:
5
Step-by-step explanation:
The total surface area of a right circular cone with the slant height 25cm is 704 sq. cm . Find the volume of the cone.
HELP PLEASE !!!
Answer:
area=πr√{h^2+r^2}
area=704cm^2, Height(h) =25cm
therefore,
by solving, πr√{h^2+r^2}=704cm^2
you will get value of r.
now, volume=πr^2×h/3
putting all values answer will come
Step-by-step explanation:
The times of the runners in a marathon are normally distributed, with a mean of 3 hours and 50 minutes and a standard deviation of 30 minutes. What is the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes? Use the portion of the standard normal table below to help answer the question. z Probability 0.00 0.5000 0.50 0.6915 1.00 0.8413 2.00 0.9772 3.00 0.9987
Answer: 0.16
Step-by-step explanation:
Given that the run times provided are normally distributed ;
Mean(x) of distribution = 3 hours 50 minutes
Standard deviation(s) = 30 minutes
The probability that a randomly selected runner has a time less than or equal to 3 hours 20 minutes
3 hours 20 minutes = (3 hrs 50 mins - 30 mins):
This is equivalent to :
[mean(x) - 1 standard deviation]
z 1 standard deviation within the mean = 0.84
z, 1 standard deviation outside the mean equals:
P(1 - z value , 1standard deviation within the mean)
1 - 0.8413 = 0.1587
= 0.16
Answer:
A. 16%
Step-by-step explanation:
Hope that this helps. peace and love
the hawaiian alphabet has 12 letters. How many permutations are possible for five of these letters
Answer: The answer is 50980
Step by Step Explanation:
First, temporarily assume that two letters with I are different, call them i 1 and i 2. Three "a" are also called as a 1, a 2 and a 3, and two h as h 1 and h 2. Then there are 11 * 10 * 9 * 8 * 7 = 55440 possible "words" (one of 11 is the first letter, 10 is the second, and so on). But because equal letters do the same "words," some "words" were counted twice or more. We have to deduct the number of "parasitic" counts although it is fairly small. The words that counted more than once are divided into many disjoint sets: 1) with two I but without repetitions of a and h; 2) with two h but without repetitions of a and I 3) with two a but without repetitions of I and h; 4) with three a but without repetitions of I and h; 5) with two I and two a's; 6) two i's and tree a's; 7) two i's and two h's 8) two h's and two a's; 9) two h's and one tree. The first category includes terms counted twice and its scale is (5 * 4) * (6 * 5 * 4) = 2400 (the first I stays at one of the 5 positions, the second at one of the 4, then 11-2i-1h-2a=6). So we have 2400/2 = 1200 to subtract. Group 2 gives -600 as well, and group 3 also. Group 4 gives * (6 * 5) = 1800 (5 * 4 * 3), and the terms are counted 6 times, -300. Groups 5, 7 , 8: 5 * 4 * 3 * 2 * 6 = 720 and counted four times, therefore -180. Group 6 and 9: 5 * 4 * 3 * 2 * 1 = 120, with 12 counts, -10. Altogether -(1200 * 3 + 300 + 180 * 3 + 10 * 2) = -4460.The answer will be 55440-4460 = 50980.
The number of permutations which are possible with the five letters of HAWAIIAN is 1488.
What is permutations?It is the number of times a word can be arranged in a defined order. to calculate the number of permutations we often use nPr formula which states n!/(n-r)!
How to calculate the permutations?We are total 12 letters in the word hawaiian and letters in the alphabet for which permutations need to be calculated are 5. So the number of permutations are:
12P1+12P3+12P2+12P1+12P1
=12!/11!+12!/9!+12!/10!+12!/11!+12!/11!
=3*12*11!/11!+12*11*10*9!/9!+12*11*10!/10!
=36+1320+132
=1488
Hence the number of permutations in the word hawaiian for the 5 letters is 1488.
Learn more about permutations at https://brainly.com/question/1216161
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calculate the surface area of an open cuboid which is 12 cm long,8cm wide,6cm high
Answer:
432 cm²
Step-by-step explanation:
To find the surface area of a cuboid, there is a formula.
2lw+2lh+2hw
Length is l, height is h, and width is w.
2(12)(8)+2(12)(6)+2(6)(8)
Multiply all the terms.
336+96
Add both the terms.
= 432
The surface area of the open cuboid is 432cm².
Answer:
432 cm²
Step-by-step explanation:
The formula.
2lw+2lh+2hw
Length is l, height is h, and width is w.
2(12)(8)+2(12)(6)+2(6)(8)
336+96
= 432
The surface area of the open cuboid is 432cm²
What is the following product? (2 sqrt 7 + 3 sqrt 6)(5 sqrt 2 + 4 sqrt 3
Answer:
[tex]10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2}\\[/tex]
Step-by-step explanation:
[tex](2\sqrt{7} + 3\sqrt{6} )(5\sqrt{2} +4\sqrt{3} )\\= 10\sqrt{14} +8\sqrt{21} + 15\sqrt{12} +12\sqrt{18} \\=10\sqrt{14} +8\sqrt{21} + 15\sqrt{4*3} +12\sqrt{9*2} \\= 10\sqrt{14} +8\sqrt{21} + 15*2\sqrt{3} +12*3\sqrt{2} \\=10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2} \\\\[/tex]
Hope this helps!
Answer:
(2√7 + 3√6) x (5√2 + 4√3)
Multiply the parentheses
= 10√14 + 8√21 + 15√12 + 12√18
= 10√14 + 8√21 + 30√3 + 12√18
i’m not able to solve this question
Which equation can be used to represent the statement?
Half of a number minus seven is one and five-tenths.
o 3+x=15
0 1 x - 15-7
07-12-15
Answer:
Read below.
Step-by-step explanation:
x will represent the number
[tex]\frac{1}{2} x-7=1\frac{5}{10} \\\\\frac{1}{2} x-7=1\frac{1}{2}\\\\x-14=3\\\\x=17[/tex]
I don't know you answer choices because they don't really make sense but change them and I'll edit this. Or it could already be one in my working.
f(x) = x^2. What is g(x)?
Answer:
Step-by-step explanation:
[tex]f(x) =x^2[/tex] is, in vertex form,
[tex]f(x)=(x-h)^2+k[/tex] where h and k, the vertex, is (0, 0). It is positive because it opens upwards.
g(x) opens downward, so we know that it is negative. Because it is DOWN 4 units from the origin, is has been moved down -4. Putting that together, we can determine that the equation for g(x) is
[tex]g(x)=-x^2-4[/tex], choice D in your list.
Answer:
D
Step-by-step explanation:
The opposite side of function f(x) is g(x). So -x².
The y-intercept is -4.
- x² - 4
Evaluate g(x) = 1.873 -0.0034x +0.5 for x = 1 and x = 2.
Answer:
g(1) = 1.8696
g(2) = 1.8662
Step-by-step explanation:
Simply plug in the x values into the equation in a calc and you should get your answer.
Select the two values of x that are roots of this equation.
2x-5=-3x^2
Answer:
A & D
Step-by-step explanation:
=> 3x²+2x-5 = 0
=> Using Mid-term Break Formula
=> 3x²-3x+5x-5 = 0
=> 3x(x-1)+5(x-1) = 0
=> (3x+5)(x-1) = 0
Either,
3x+5 = 0 OR x-1 = 0
x = [tex]-\frac{5}{3}[/tex] OR x = 1
Answer: x = 1 and x = 5/3
Step-by-step explanation:
$98.00 tent;40% discount Plz help
Answer:
$58.80
Step-by-step explanation:
Step 1: Multiply
98.00(0.4) = 39.20 <== This shows how much $ is taken off because of the discount
Step 2: Subtract
98.00 - 39.20 = $58.80
$39.20
Step-by-step explanation:
Start off by multiplying 98 with 0.40... Then you'll get your answer!!!!