If tomorrow is not Monday then today is not Sunday.
The given statement is "If today is Sunday, then tomorrow is Monday".
What is contrapositive statement?A contrapositive statement occurs when you switch the hypothesis and the conclusion in a statement, and negate both statements. In this example, when we switch the hypothesis and the conclusion, and negate both, the result is: If it is not a polygon, then it is not a triangle.
Here,
1. If tomorrow is Monday then, today is Sunday.
2. If today is not Sunday then tomorrow is not Monday.
3. If tomorrow is not Monday then today is not Sunday.
Therefore, if tomorrow is not Monday then today is not Sunday.
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The sample variance is 18.7. what is the sample standard deviation? answer to two decimal places.
which
of the following is the least?
A.0.105
B.0.501
c.o.015
D.0.15
The following formula relates three quantities force mass and acccelerations
F=ma
domain of the function
Rational numbers are _____ natural numbers.
always
sometimes
never
What is 8.038×108 in standard form?
80,308,000
80,380,000
83,800,000
803,800,000
Answer:
803,800,000
Step-by-step explanation:
8.038×10^8 in standard form
To get standard form we multiply the decimal number by 10^8
10^8 is 100000000
Now we multiply
8.038×100000000
Move the decimal number 3 places to the right and add 5 more zeros
803800000
So the standard form of the given expression is
803,800,000
There are six different sixth roots of 64. That is, there are six complex numbers that solve x^6=64
Please help
To find the six sixth roots of 64, you can use polar form and De Moivre's Theorem to calculate the complex numbers. The roots are 2, 1+i√3, -1+i√3, -2, -1-i√3, and 1-i√3.
[tex]X^6 = 64[/tex]
The sixth roots of 64 are complex numbers and can be found by writing 64 in polar form and applying De Moivre's Theorem. Let's find the six roots:
First root: 2(cos(0) + i sin(0)) = 2
Second root: 2(cos(π/3) + i sin(π/3)) = 2(1/2 + i√3/2) = 1 + i√3
Third root: 2(cos(2π/3) + i sin(2π/3)) = 2(-1/2 + i√3/2) = -1 + i√3
Fourth root: -2
Fifth root: -2(cos(-π/3) + i sin(-π/3)) = -2(1/2 - i√3/2) = -1 - i√3
Sixth root: -2(cos(-2π/3) + i sin(-2π/3)) = -2(-1/2 - i√3/2) = 1 - i√3
Simplify the expression 3 1/3/3 1/3. Explain how the expression and its simplified form show that the set of irrational numbers is not closed under division
one positive integer is 5 less than another. the product of the two integers is 36. what are the integers?
1st number = x
2nd number = x-5
x*(x-5) = 36
x^2-5x =36
x^2 -5x-36 = 0
factor the polynomial:
(x-9) (x+4)
9-9 = 0, -4 +4 = 0
so x = 9 or -4
the question states a positive number
so x = 9
the 2 numbers are 9 and 4
How many pairs of whole numbers have a sum of 99
write 4 hundred-thousand, 13 thousand, 11 hundreds, 4 ones in standard form
The standard form of the expression 4 hundred-thousand, 13 thousand, 11 hundreds, 4 ones is [tex]4.14104 \times10^5[/tex]
In order to write 4 hundred-thousand, 13 thousand, 11 hundreds, 4 ones in standard form, let us write each of the expressions in figures
4 hundred-thousand = 400,000
13 thousand = 13,000
11 hundreds = 11 x 100
11 hundreds = 1100
4 ones = 4 x 1
4 ones = 4
The next step is to sum up all the figures together
400000 + 13000 + 1100 + 4 = 414,104
Convert 414104 to standard form
[tex]414104 = 4.14104 \times10^5[/tex]
Therefore, the standard form of the expression 4 hundred-thousand, 13 thousand, 11 hundreds, 4 ones is [tex]4.14104 \times10^5[/tex]
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what is (9x^4-x^2y^2-5y^4)-(3x^4+2x^2y^2-7y^4)
A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = bh
Answer:
162.8 cm²
Step-by-step explanation:
The formula for the area of a triangle is
A = 1/2bh, where b is the base and h is the height.
The base can be represented as the given leg, 27.6 cm. We do not know the height. We must use the Pythagorean theorem to find this:
a²+b² = c²
27.6²+b² = 30²
761.76+b² = 900
Subtract 761.76 from each side:
761.76+b²-761.76 = 900-761.76
b² = 138.24
Take the square root of each side:
√(b²) = √(138.24)
b = 11.8
Now we use the area formula:
A = 1/2(11.8)(27.6) = 162.84 ≈ 162.8
The area of a given right triangle is 162.8 cm².
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 base can be represented as the given leg, 27.6 cm. We do not know the height.
Using Pythagorean theorem,
a²+b² = c²
27.6²+b² = 30²
761.76+b² = 900
761.76+b²-761.76 = 900-761.76
b² = 138.24
b = √(138.24)
b = 11.8
The formula for the area of a triangle is
A = 1/2bh, where b is the base and h is the height
A = 1/2(11.8)(27.6) = 162.84 ≈ 162.8
Therefore, the area of a given right triangle is 162.8 cm².
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Use the function below to find f(4).
Answer: The correct option is (C) [tex]\dfrac{256}{3}.[/tex]
Step-by-step explanation: The given function is
[tex]f(x)=\dfrac{1}{3}\times 4^x.[/tex]
We are to find the value of f(4).
To find the value of f(4), we need to substitute the value of x as 4 in the given definition of function f(x).
Substituting x = 4 in f(x), we have
[tex]f(4)=\dfrac{1}{3}\times 4^4=\dfrac{1}{3}\times 256=\dfrac{256}{3}.[/tex]
Therefore, the value of f(4) is [tex]\dfrac{256}{3}.[/tex]
Option (C) is correct.
Distributive property of 68/4
Find the range of the graphed function?
B is the correct answer
Jacks has 18 marbles,he loses 6 of them.
What fraction of the marbles does he lose?
Which of the following is a true equation?
1) 10 + 3 + 1 = 13 + 6
2) 4 - 3 = 7
3) 4 + 3 - 3 = 7 - 3
4) 4 + 3 = 7 + 3
I have 5 digits. My 4s are worth 4 [10,000s] and 4 * 10. One of my 3s is worth 3,000. The other is worth 1/10 as much. My other digit is a 2. What number am I?
Bess practices trumpet 1/2 hr on Monday and 1 3/5 hr on Wednesday.
How many hours does Bess practice trumpet?
Solve For L: A = L ⋅ W ⋅ H
L=aw/h
L=wh/a
L=a/wh
L=w/ha
You want to replace the countertops in a kitchen. One counter measures 24 inches by 6 feet. The other is 30 inches by 4 feet. If the new countertop costs $42.00 per square foot, what will be the cost of the new top?
Answer:
The cost of the new top $924.
Step-by-step explanation:
You want to replace the counter-tops in a kitchen.
The dimensions of the first counter is 24 inches by 6 feet.
i.e [tex]24 \text{ inch} \times 6 \text{ feet}[/tex]
or [tex]2\text{ feet} \times 6 \text{ feet}[/tex]
As 1 feet =12 inches
Hence the area of the counter is [tex]2\times 6=12\text{ feet}^2[/tex]
The dimensions of the second counter is 30 inches by 4 feet.
i.e [tex]30 \text{ inch} \times 4 \text{ feet}[/tex]
or [tex]2.5\text{ feet} \times 4 \text{ feet}[/tex]
Hence the area of the counter is [tex]2.5\times 4=10\text{ feet}^2[/tex]
Hence, the total area will be [tex]12+10=22 \text{ feet}^2[/tex]
The unit cost of the counter-top is [tex]\$42.00\text{ feet}^2[/tex]
So the net cost will be,
[tex]=42\times 22=\$924[/tex]
The tensile strength of paper is modeled by a normal distribution with a mean of 35 pounds per square inch and a standard deviation of 2 pounds per square inch. what is the probability that the strength of a sample is less than 38 lb/in2? round your answer to 4 decimal places.
What is the value of x?
6 + 8x
-------------- = 5x
2
A) -2
B) -1
C) 1/3
D) 3
McDonald's is the king of the burger world, as it has more hamburger joints than any other restaurant chain. In 2013, McDonald's had 1427 locations in Canada. If the population of Canada was approximately 35.16 million citizens in 2013, what was the number of McDonald's restaurants per capita in Canada in 2013? Express your answer in scientific notation rounded correctly to three decimal places.
In 2013, there were approximately 4.509 McDonald's restaurants per 100,000 people in the US.
To calculate the number of McDonald's restaurants per capita in the US in 2013, we divide the total number of McDonald's locations (14267) by the population of the US (316,500,000).
[tex]\[ \text{McDonald's per capita} = \frac{14267}{316500000} \][/tex]
Performing the division, we get [tex]\( 4.509 \times 10^{-5} \)[/tex].
This means there were approximately 4.509 McDonald's restaurants per 100,000 people in the US in 2013.
So, the number of McDonald's restaurants per capita in the US in 2013 is [tex]\( 4.509 \times 10^{-5} \) or \( 4.509 \times 10^{-5} \)[/tex] McDonald's per person.
What is the value of x? 58 92 121 63
Answer:
Angle x = 63 °.
Step-by-step explanation:
Given : A circle larger arc angle 184° and smaller arc angle 58°.
To find: What is the value of x.
Solution : We have given that larger arc angle 184°
Smaller arc angle 58°.
Angle formed by tangent and chord = x
m∠x = [tex]\frac{1}{2}( 184 - 58 )[/tex].
m∠x = [tex]\frac{1}{2}( 126)[/tex].
m∠x = 63 °.
Therefore, Angle x = 63 °.
Tyquan uses the greatest common factor and the distributive property to rewrite this sum: 75 + 60 What expression does Tyquan write? 3(25 + 20) 5(15 + 12) 25(3 + 60) 15(5 + 4)
Express each repeating decimal as a fraction.
1.
1.8[4]
2.
2.1[26]
Answer:
1.8444444....=1.8+1/10*0.44444....
=1.8+1/10*4/9
=1.8+4/90
=162/90+4/90
=166/90
=83/45
2.126262626...=2.1+1/10*0.262626...
=2.1+1/10*26/99
=2.1+26/990
=2079/990+26/990
=2105/990
=421/198
A coin is tossed 10 timesWhat is the probability of getting all heads?
There are 60 minutes in 1 hour. What fraction of an hour is 4 minutes? Write your answer in lowest terms.
The fraction of an hour is 4 minutes in lowest terms is 1/15.
What fraction of an hour is 4 minutes in lowest terms?To find the fraction of an hour that 4 minutes represents, we need to compare the number of minutes to the total number of minutes in an hour, which is 60.
We can set up a fraction where the numerator represents the number of minutes we want to find the fraction for (4 minutes) and the denominator represents the total number of minutes in an hour (60 minutes).
So, the fraction can be written as 4/60.
To simplify the fraction to its lowest terms, we can divide both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 60 is 4.
Dividing both the numerator and denominator by 4, we get:
4/60 = (4 ÷ 4) / (60 ÷ 4) = 1/15.
Therefore, 4 minutes in lowest terms is equal to 1/15th of an hour.
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