Rewrite each of the following statements in the form "∀ _____ x, _____."
(a) All dinosaurs are extinct. ∀ ---Select--- x, ---Select--- .
(b) Every real number is positive, negative, or zero. ∀ ---Select--- x, ---Select--- .
(c) No irrational numbers are integers. ∀ ---Select--- x, ---Select--- .
(d) No logicians are lazy. ∀ ---Select--- x, ---Select--- .
(e) The number 2,147,581,953 is not equal to the square of any integer. ∀ ---Select--- x, ---Select--- .
(f) The number −1 is not equal to the square of any real number.
Answer:
The rewritten statements is as follows:
(a) ∀ dinosaur x, x is extinct.
(b) ∀ real [tex]number[/tex] x, x is positive, [tex]negative[/tex], or zero.
(c) ∀ irrational [tex]number[/tex] x, x is not an [tex]integer[/tex].
(d) ∀ logician x, x is not lazy.
(e) ∀ integer x, [tex]x^2 \ne 2,147,581,953[/tex]
(f) ∀ real number x, [tex]x^2 \ne -1[/tex]
Step-by-step explanation:
As a general rule, words like "all", "every", "the", etc. are represented with ∀.
However, some sentences may be need to rephrased before such sentence can be rephrased
So, the following replacement will be made:
(a)
[tex]All \to[/tex] ∀
[tex]dinosaurs \to x[/tex]
(b)
[tex]Every \to[/tex] ∀
[tex]real\ number \to x[/tex]
(c)
First, we need to rephrase this sentence to:
Every irrational number is not integer
So, the replacement is:
[tex]Every \to[/tex] ∀
[tex]irrational\ number \to x[/tex]
(d)
First, we need to rephrase this sentence to:
Every logician is lazy
So, the replacement is:
[tex]Every \to[/tex] ∀
[tex]lazy \to x[/tex]
(e)
First, we need to rephrase this sentence to:
The integer 2,147,581,953...............
So, the replacement is:
[tex]The \to[/tex] ∀
[tex]Integer \to x[/tex]
(f)
Replace:
[tex]The \to[/tex] ∀
[tex]-1 \to x^2[/tex]
help help help help help
Answer:
11.
Step-by-step explanation:
The scores 60-69 has two people. The scores 70-79 have 9 people. Both are lower or below 80.
Answer:
11
Step-by-step explanation:
Add the number of people in the 60-69 range ( 2) and the number of people in the 70-79 range (9) to get the number of people below 80
2+9 = 11
find integral∫cos³x dx) )?
Answer:
sin(x)−1/3(sin3(x))+C
Step-by-step explanation:
use u substitution method to integrate
cos³(x) = cos(x) cos²(x)
… = cos(x) (1 - sin²(x))
Substitute u = sin(x) and du = cos(x) dx. Then in the integral, you get
∫ cos³(x) dx = ∫ (1 - u ²) du
… = u - 1/3 u ³ + C
… = sin(x) - 1/3 sin³(x) + C
A stack of squares has 170 squares in the bottom row, 156 in the second row from the bottom, 142 in the third row from the bottom and 128 in the fourth row from the bottom. How many squares will there be in the 11th row from the bottom ? - a table always makes these sums easier!)
9514 1404 393
Answer:
30
Step-by-step explanation:
The sequence of square counts is ...
170, 156, 142, 128
The differences from one row to the next are ...
-14, -14, -14
We see that the differences are constant, so we know the sequence is an arithmetic sequence with first term 170 and common difference -14. This means the n-th term is ...
an = a1 +d(n -1) . . . . . . for first term a1 and common difference d
an = 170 -14(n -1)
For n=11, the number of squares is ...
a11 = 170 -14(11 -1) = 30
There will be 30 squares in the 11th row.
help pls ? heusnwkq bsjnsjjw
graph the line with intercept 6 and slope
[tex] - \frac{3}{2} [/tex]
Given:
The y-intercept of a line = 6
The slope of the line = [tex]-\dfrac{3}{2}[/tex]
To find:
The graph of the given line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex]
Where, m is the slope and b is the y-intercept.
Putting [tex]m=-\dfrac{3}{2}[/tex] and [tex]b=6[/tex] in the above equation, we get
[tex]y=-\dfrac{3}{2}x+6[/tex]
At [tex]x=0[/tex],
[tex]y=-\dfrac{3}{2}(0)+6[/tex]
[tex]y=0+6[/tex]
[tex]y=6[/tex]
At [tex]x=2[/tex],
[tex]y=-\dfrac{3}{2}(2)+6[/tex]
[tex]y=-3+6[/tex]
[tex]y=3[/tex]
Plot these two points (0,6) and (2,3) on a coordinate plane and connect them by a straight line to get the graph of the required line.
The required graph is shown below.
You collect the following data for explanatory variable A and response variable B:
A(x) B(y)
1 14.2
2 14.9
3 15.5
4 16.8
5 17.8
6 18.9
7 20.1
8 20.9
9 21.5
10 22
You calculate the following summary statistics: x-bar = 5.5, s subscript x = 3.03, y-bar = 18.26, s subscript y = 2.85, and r = .995.
Required:
What's the critical t value you'd use for a 95% confidence interval for the slope of this regression line?
Answer:
v
Step-by-step explanation:
What’s the ratio of 20 to 3
Answer:
666.666666666667%
Step-by-step explanation:
Convert fraction (ratio) - 20 / 3 Answer: -666.666666666667%
Simplify the expression 2(4x – 2) + x if x = 6.
Answer:
44
Step-by-step explanation:
2(4x-2)
2(4(6)-2)
2(24-2)
2(22)
44
Hope this helps! :)
Answer and Step-by-step explanation:
Simply plug 6 in for x.
2(4(6) - 2) + 6
Multiply 4 by 6.
2(24 - 2) + 6
Subtract 2 from 24.
2(22) + 6
Multiply 22 by 2.
44 + 6
Add.
50
The answer is 50.
#teamtrees #PAW (Plant And Water)
A house on the market was valued $234,000. After several years, the value decreased by 9%. By how much did the house's value decrease in dollars? What is the current value of the house?
The price decreases by $288,000*(0.19)=$54,720
The current value is then $233,280.
I ONLY HAVE 5 minutes HELP!!!
Alvarez has $650 deposited into his bank account. The account earns simple interest of 6,5% per year. No other money is added or withdrawn from the account
for a period of four years. What is the total amount of money in the account after four years?
$143
O $685.75
C $793
D 8805.24
Answer:
685.75
Step-by-step explanation:
650*0.055+650
Solve x^2+14x=15 by completing the square.
The answer to your question is x=1
Answer:
-15, 1
Step-by-step explanation:
See image below:)
Consider the following time series. t 1 2 3 4 5 yt 6 10 8 13 15
(a) Choose the correct time series plot. (i) (ii) (iii) (iv) What type of pattern exists in the data?
(b) Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. If required, round your answers to two decimal places. y-intercept, b0 = 4.1 Slope, b1 = 2.1 MSE = ????
(c) What is the forecast for t = 6? If required, round your answer to one decimal place. 16.7 I know how to do it all but the MSE.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
t __1 2 3 4 5
yt_ 6 10 8 13 15
Using technology to produce a linear model :
The linear model obtained shows a positive linear pattern exist for the time series data :
The parameters for the line that minimizes MSE for the then series is :
y = 2.1t + 4.1
Where, slope = 2.1 ; intercept = 4.1
The mean squared error :
Sum of squared estimate of error = 9.1
Mean squared error = √9.1
Mean squared error = 3.02
Forecast for t = 6
y = 2.1t + 4.1
y = 2.1*6 + 4.1
y = 12.6 + 4.1
y = 16.7
What is the following quotient?
Answer:
First option is the correct answer.
[tex] \huge{ \purple {2( \sqrt[3]{3} ) - \sqrt[3]{18} }}[/tex]
Step-by-step explanation:
[tex] \frac{6 - 3(\sqrt[3]{6} )}{ \sqrt[3]{9} } \\ \\ = \frac{ \sqrt[3]{ {6}^{3} } - \sqrt[3]{ {3}^{3} } . \sqrt[3]{6} }{ \sqrt[3]{9} } \\ \\ = \frac{ \sqrt[3]{216} - \sqrt[3]{ {3}^{3} \times 6} }{ \sqrt[3]{9} } \\ \\ = \frac{ \sqrt[3]{216} - \sqrt[3]{ 27 \times 6} }{ \sqrt[3]{9} } \\ \\ = \sqrt[3]{ \frac{216}{9} } - \sqrt[3]{ \frac{27 \times 6}{9} } \\ \\ = \sqrt[3]{24} - \sqrt[3]{3 \times 6} \\ \\ = \sqrt[3]{ {2}^{3} \times 3} - \sqrt[3]{18} \\ \\ \huge{ \red{ = 2( \sqrt[3]{3} ) - \sqrt[3]{18} }}[/tex]
Help please this question is so hard!
Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. The figure shows a right triangle with one leg marked 8. The hypotenuse is marked 10. The figure shows a right triangle with one leg marked 8. The hypotenuse is marked 10.
Answer:
6
Step-by-step explanation:
a² + b² = c²
a² + 8² = 10²
a² + 64 = 100
Subtract 64 from both sides
a² = 36
Take the square root of both sides
a = 6
Answer:
x²+y²=hyptneus ²
Step-by-step explanation:
length is always positive
so answer is 6
Fraction with a  Denominator of 60 that is equivalent to 2/3
Answer:
40
Step-by-step explanation:
you have to find the multiplier that gets 3 to equal 60, that would be 20
therefore, you then multiply the numerator by 20 also and get 40
Find the area of the kite with diagonals a= 12 and b=9
A) 30
B) 72
C) 54
D) 108
maybe 108 is the answer.
First and 2nd question is easier.
1) What is 3% of 0.80 and what is 7% of 0.40
2) what is 90$ of 3 and what is 40% of 24
Answer:
3% of 0.80 = 0.024
7% of 0.40 = 0.028
90% of 3 = 2.7
40% of 24 = 9.6
Step-by-step explanation:
Jane wants to add chocolate chips to her trail mix. A 3-pound bag of chocolate chips cost $3.22 . What is the unit price ?
Answer:
It would be 1.073 you can also rojnd ot to 1.07
Answer:
$1.07 per pound
Step-by-step explanation:
$3.22/3lb is about $1.07 per lb.
Please help meeeeeee!!
Find x so that m || n. Show your work.
Solution:-Since m || n, 4x – 23 = 2x + 17 by the Converse of alternate exterior angles theorem.
Solve for x.
[tex]\sf{4x-23=2x+17}[/tex]
[tex]\sf{4x-2x-23=2x-2x+17}[/tex]
[tex]\sf{2x-23=17}[/tex]
[tex]\sf{2x-23+23=17+23}[/tex]
[tex]\sf{2x=40}[/tex]
[tex]\sf{\frac{2x}{2}={\frac{40}{2}}}[/tex]
[tex]\sf{x={\color{magenta}{20}}}[/tex]
========================#Hope it helps!
(ノ^_^)ノ
Given that angle ABC=70° and that angle BCD=110°. Is it possible (consider all cases) that Line AB intersects line CD ?
Answer:
yes.
Step-by-step explanation:
#CarryOnLearning
How many 1/3 servings are in 36 servings?
Answer:
108
Step-by-step explanation: When you want to find out how much a fraction fits into a number, you have to multiply it by how much it takes to make 1 whole number using the fraction. 1/3 requires 3 of them to make 1 whole number. This means that 36 can be multiplied by 3, which gives us the answer of 108
Answer:
108 of 1/3 servings are in 36 servings.
Step-by-step explanation:
3/1 multiples 3 become 1.
1 multiple 36 and equal 36,
so,3 multiple 36.
3×36=108
Gregorio made 25 quart of hot chocolate. Each mug holds 1/10 quart. How many
mugs are used for the hot chocolate?
Answer:
4 mugs of hot chocolate
Step-by-step explanation:
So, we must find out how many mugs of hot chocolate we can make.
Then we set up a ratio of amount of chocolate to mugs such as
(2/5) / (1/10) = (2/5)(10/1) = 20/5 = 4 mugs of hot chocolate
Hope this answer helps you :)
Have a great day
Mark brainliest
The radius of a circle is 10 cm. Find its circumference in terms of \piπ.
[tex]{ \bf{ \underbrace{Given :}}}[/tex]
Radius of the circle "[tex]r[/tex]" = 10 cm.
[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]
The circumference of the circle.
[tex]{ \bf{ \underbrace{Solution :}}}[/tex]
[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:20\:π\:cm.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }[/tex]
[tex] = 2 \: \pi \times 10 \: cm \\ \\ = 20 \: \pi \: cm[/tex]
Therefore, the circumference of the circle is 20 π cm.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]
Deborah finds that that the theoretical probability of flipping "heads" on a fair coin was 50%. After she flipped the fair coin 100 times, she calculated that she flipped heads 45 times. what is the percent difference in theoretical and experimental probability
Answer: 5% if it’s bubble sheet then 0.05
Step-by-step explanation:
Probability of flipping heads=50%
Probability of flipping practically = 45/100
=45
So 50%-45% = 5%
Help me please with this question
9514 1404 393
Answer:
c. 3 to 4
Step-by-step explanation:
There are 3 oranges and 4 apples in the bowl, so the ratio is ...
oranges/apples = 3/4 or 3 to 4
Soosie's Cookie Company had fixed costs of $1250 and variable costs of $4.25 per dozen gourmet cookies that were baked and packaged for sale. Write an equation that can be used to determine the total cost when x dozens of cookies are baked and sold. Then determine the total cost of baking and selling 85 dozen gourmet cookies.
Answer:
$1250.00 + (x)$4.25 =
Step-by-step explanation
So fixed costs are $1,250.00.....every dozen you bake add $4.25 to the costs, cook one dozen you have $1,250.00 plus $4.25 or a total of $1,254.25.
Cook 10 dozen and you add $45.25 = the $1,250.00 for a new total of $1,295.25.
15 POINTS! PLEASE HELP! WILL GIVE BRAINLIEST!
Which expression should you simplify to find the 90% confidence interval for a sample of 36 people with a mean of 64 and standard deviation of 4? O +2 A. 36 2. VOA O B. 64 +2 4 V36 O C. 64 +1.645. 4. V36 4 O D. 36 +1.645 V64 SUBMIT
Answer:
c
Step-by-step explanation:
i took the test and got it right
For 90% confidence interval for a sample of 36 people with a mean of 64 and standard deviation of 4 the answer is C. 64 +1.645. 4. V36.
What is confidence interval?A confidence interval is a range of values that is likely to contain the true population parameter with a certain level of confidence.
In statistics, it is commonly used to estimate the population mean based on a sample mean, standard deviation, and sample size.
The confidence level represents the probability that the true population parameter falls within the calculated interval.
The correct expression to find the 90% confidence interval for a sample of 36 people with a mean of 64 and standard deviation of 4 is:
64 ± 1.645(4/√36)
Simplifying the expression:
64 ± 1.645(4/6)
64 ± 1.645(0.6667)
64 ± 1.0967
The 90% confidence interval is (62.9033, 65.0967).
Therefore, the answer is C. 64 +1.645. 4. V36.
For more details regarding confidence interval, visit:
https://brainly.com/question/29680703
#SPJ5
The scatter plot below shows the ages and heights of a baseball team. Each dot represents one player. What is the total
number of 12-year olds who are more than 60 inches tall?
A 3
B 7
C5
D 2
Answer:
D
Step-by-step explanation:
if each dot is one person then there are only 2 people that are 12 and that are more than 60in tall
Answer:
its 2 because it says how many are 12 years old and are taller than 60