The form of deductive reasoning used in the given argument is; Law of Syllogism
How to identify the Logic Law used?The argument we are given is;
If a number ends in 0, then it is divisible by 10.
If a number is divisible by 10, then it is divisible by 5.
If a number ends in 0, then it is divisible by 5.
The law used for the deductive reasoning in the given argument is called Law of Syllogism. This is because this law of mathematical logic states that;
If the following two statements are true:
(1) If p , then q .
(2) If q , then r .
Then we can derive a third true statement:
(3) If p , then r .
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Can someone pls help me get the anwser for this question
Answer: [tex]\Large\boxed{x=6.5}[/tex]
Step-by-step explanation:
Given equation
-9 - (x + 1) = -2 - (3x - 5)
Expand the parenthesis
-9 - x - 1 = -2 - 3x + 5
Combine like terms
-9 - 1 - x = -2 + 5 - 3x
-10 - x = 3 - 3x
Add 3x on both sides
-10 - x + 3x = 3 - 3x + 3x
-10 + 2x = 3
Add 10 on both sides
-10 + 2x + 10 = 3 + 10
2x = 13
Divide 2 on both sides
2x / 2 = 13 / 2
[tex]\Large\boxed{x=6.5}[/tex]
Hope this helps!! :)
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VERY URGENT: Alexis surveys a random sample of 80 students at his school and finds that 22 of them usually walk to school. There are 1,760 students at the school. Predict the number of students who usually walk to school.
Answer:
484 Students
Step-by-step explanation:
This is simple probability. Assuming 22/80 students walk to school within a small population, and there are 1760 students at the school, there should be (22/80)*1760 students that walk to school in total. (This is just theoretical). This is 484 students.
The height (in feet) of a rocket launched from the ground is given by the function f(t) = -16t2 160t. match each value of time elapsed (in seconds) after the rocket’s launch to the rocket's corresponding instantaneous velocity (in feet/second).
EachEach value of time elapsed (in seconds) corresponding instantaneous velocity (in feet/second) are:2s= 96, 3s = 64, 4s= 32, 5s = 0, 6s = -32, 7s = -64. 8s= -96, 9s= -128.
VelocityGiven equation:
f(t) = -16t² +160t
Velocity (v)=df(t)/dt
=-2×16t²+ 160t
=-32t+160
Hence:
-32t+160
1. -32×(1) + 160 = 128ft/s
2. -32×(2) + 160 = 96ft/s
3. -32×(3) + 160 = 64ft/s
4. -32×(4) + 160 = 32m/s
5. -32×(5) + 160 = 0m/s
6. -32×(6) + 160 = -32m/s
7. -32×(7) + 160 = -64m/s
8. -32×(8) + 160 = -96m/s
9. -32×(9) + 160 = -128m/s
The pairs are;
2s= 96
3s = 64
4s= 32
5s = 0
6s = -32
7s = -64
8s= -96
9s= -128
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A salesperson has 7 customers in denver and 13 customers in reno. in how many different ways could she telephone?
If a salesperson has 7 customers in denver and 13 customers in reno then there are 20 different ways in which he can make calls.
Given that the salesperson has 7 customers in denver and 13 customers in reno.
We are required to find the number of ways in which he can make use of telephone.
Number of customers in denver=7
Number of customers in reno=13
Total customers=20
Since he can talk to one customer at one time and he can either choose customer from denver or reno, the number of ways by using combinations will be [tex]7C_{1}[/tex]+[tex]13C_{1}[/tex]
=7+13
=20 ways.
Hence if a salesperson has 7 customers in denver and 13 customers in reno then there are 20 different ways in which he can make calls.
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pls help me with this
Answer:
Step-by-step explanation:
9. the set containing all objects or elements and of which all other sets are subsets.
10. complement --> the amount in only one of teh sets
intersection --> the amount in both sets
11. 14 or -14
13. 46 1/2
14. 2 31/120
15. 1100% profit
16. 1200 gm
17. cube root of 7?
18. 6000 per year
The graph below shows the results of a survey of vacations. Which explanation below can be used to explain the point (1,1400)?
A bag with 6 marbles has 2 yellow marbles, 1 blue marble, and 3 red marbles. A marble is chosen from the bag at random. What is the probability that is yellow?
Answer:
P = 1/3
P = 0.333
Step-by-step explanation:
There are 6 marbles in the pack, two of them are yellow.
[tex]P=\frac{2}{6} =\frac{1}{3}[/tex]
Hope this helps
There are two numbers between 30 and 40 that have just two factors.
What are they?
Answer:
31 and 37
Step-by-step explanation:
Those are the only two numbers
Answer:
The two numbers between 30 and 40 which have only 2 factors are -
31 and 37
Hope it helps you.
A semi-circle window can be used above a doorway or as an accent window
in a room to allow more light in large rooms. The semi-circle window in your
home theater room lets too much light in so that the movie experience is not
optimal at any time of the day.
You research and find there are “room darkening” blinds and shades for
semi-circle windows. You can’t quite reach the semi-circle window to
measure but you are able to measure the window beneath. The height of the
rectangle window below is 85 in and the width of the window below the semi-circle is 50 in.
What is the area of the semi-circle window so that you can start your search for the correct size?
Be sure to show and explain your work.
A semicircle is a part of a circle, and it is referred to as half of a given circle. Thud the area of the semi-circle window is 982 [tex]in^{2}[/tex].
A circle is a shape that is bounded by a curved path which is referred to as the circumference. Some parts of a circle are radius, diameter, sector, arc, semi-circle, circumference, etc.
A semicircle is a part of a circle, and it is referred to as half of a given circle.
such that:
Area of a circle = [tex]\pi[/tex] [tex]r^{2}[/tex]
and
area of a semicircle = [tex]\frac{\pi r^{2} }{2}[/tex]
where: r is the radius of the circle, and [tex]\pi[/tex] is a constant with a value of [tex]\frac{22}{7}[/tex].
Thus from the given question, it can be inferred that;
r = [tex]\frac{50}{2}[/tex]
= 25
r = 25 in
Thus, the area of the semi-circle can be determined as;
area of the semi-circle = [tex]\frac{1}{2}[/tex] * [tex]\frac{22}{7}[/tex] * [tex]25^{2}[/tex]
= 982.1429
area of the semi-circle = 982.14 [tex]in^{2}[/tex]
The area of the semi-circle window is approximately 982 [tex]in^{2}[/tex].
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A dealer marked the price of a digital watch as Rs 6,000. She then allowed 20% discount to make 20% profit. If she increased the discount to 25%, by how much was the profit percent decreased?
Profit decreased by 7.5%
Answer:
Solution Given:
Marked Price= Rs 6,000
discount =20%
Selling Price =M.P- discount% of M.P
=M.P(1-discount%)
=6000(1-20%)
= Rs 4,800
Again
Profit = 20%
Cost Price=(S.P*100)/(100+profit%)
= (4800*100)/(100+20%)
= Rs 4,000
For discount 25%
Marked Price =Rs 6,000
Selling Price =M.P - discount% of M.P
=M.P(1-discount%)
=6000(1-25%)
=Rs 4,500
Profit = S.P- C.P= Rs 4,500- Rs 4,000=Rs 500
Profit %=Profit/C.P* 100%= 500/4000*100 = 12.5%
Profit % decreased from 20% to 12.5%
Profit decreased by 7.5%
Answer:
7.5%
Step-by-step explanation:
Marked Price
Rs 6,000
Discounted Price
If the price is discounted by 20%, then the discounted price is 80% of the marked price:
[tex]\implies \sf Discounted\:Price =80\% \textsf{ of marked price}[/tex]
[tex]\implies \sf Discounted\:Price =0.8 \times 6000[/tex]
[tex]\implies \sf Discounted\:Price = 4800\:Rs[/tex]
Cost Price
If the dealer makes 20% when selling the watch at the discounted price, then the cost price is:
[tex]\implies \sf Cost\:Price=\dfrac{100\%}{120\%} \times 4800[/tex]
[tex]\implies \sf Cost\:Price=\dfrac{4800}{1.2}[/tex]
[tex]\implies \sf Cost\:Price=4000\:Rs[/tex]
Discount of 25%
If the price is discounted by 25%, then the discounted price is 75% of the marked price:
[tex]\implies \sf Discounted\:Price =75\% \textsf{ of marked price}[/tex]
[tex]\implies \sf Discounted\:Price =0.75\times 6000[/tex]
[tex]\implies \sf Discounted\:Price = 4500\:Rs[/tex]
Profit after 25% discount
[tex]\implies \sf Profit=\dfrac{discounted\:price}{cost\:price}-1 \times 100[/tex]
[tex]\implies \sf Profit=\dfrac{4500}{4000}-1 \times 100[/tex]
[tex]\implies \sf Profit=12.5\%[/tex]
Therefore, the profit decreased from 20% to 12.5% which means the profit percent decreased by 7.5%.
Unfortunately, he has made a mistake in adding the numbers and has not allocated all of the paycheck. if he deposits the difference into the two emergency savings accounts, how much total per week can he then put towards emergency savings? a. $40 b. $60 c. $74 d. $55
The total amount he puts towards emergency savings is $74
The correct option is C.
According to the given information:His total weekly deposits are as follows: 219+115+40+20+10+40+15 = 459
Now
that we are aware, his weekly deposits total $459 in total.
His total remuneration is $498 due to an error in his addition of the numbers.
The amount he has each week will be determined by deducting his deposits from his paycheck:
498-459 = 39
He contributes two equal payments of $20 and $15 to his emergency fund.
His entire contribution to emergency savings is = 20 + 15 = 35.
Only need to add the additional $39
To determine how much he can set aside each week for emergency savings, multiply his total emergency savings by 35 dollars:
39+35 = 74
the total per week that he can put towards emergency savings = $74
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I understand that the question you are looking for is:
Mr. Thom makes $25,900/year salary as a document processor. He has made the following chart in order to divide his weekly paycheck into his accounts: Expense type Account Weekly deposits Essential (Fixed) 1st Checking account $219 Essential (Variable) 1st Checking account $115 Non-essential 2nd Checking account $40 Other (Unexpected) Emergency savings account $20 Other (Pictable) Education investment fund $10 Other (Pictable) Retirement investment fund $40 Other (Pictable) Emergency savings account $15 Total paycheck $498 Unfortunately, he has made a mistake in adding the numbers and has not allocated all of the paycheck. If he deposits the difference into the two emergency savings accounts, how much total per week can he then put towards emergency savings?
a. $40
b. $60
c. $74
d. $55
Answer: C. $74
Step-by-step explanation: C. $74.00
Write 2^8 * 8^2 * 4^-4 in the form 2^n
The given expression 2^8 * 8^2 * 4^-4 can be written in the exponential form 2^n as 2^6.
What are exponential forms?The exponential form is a more convenient way to write repetitive multiplication of the same integer by using the base and its exponents.
For example:
If we have a*a*a*a, it can be written in exponential form as:
=a^4
where
a is the base, and4 is the power.The power in this format reflects the number of times we multiply the base by itself. The exponent is also known as the index or power.
From the information given:
We can write 2^8 * 8^2 * 4^-4 in form of 2^n as follows:
[tex]\mathbf{= 2^8\times (2^3)^2 \times (2^2)^{-4} }[/tex]
[tex]\mathbf{= 2^8\times (2^6) \times (2^{-8}) }[/tex]
[tex]\mathbf{= 2^{8+6+(-8)}}[/tex]
[tex]\mathbf{= 2^{6}}[/tex]
Therefore, we can conclude that by using the exponential form, the given expression 2^8 * 8^2 * 4^-4 in the form 2^n is 2^6.
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x(x-5) (x+5) - (x+2) (x^2 - 2x +4) = 17
x[x²-25] - [x³+8] = 17
x³- 25x - x³- 8 = 17
-25x = 17 + 8
-25x = 25
x = -1
At a walk-in interview, 12% of candidates can be selected, and 28% of candidates can be put on hold for the next hiring date. if 75 candidates are interviewed, about how many are expected to be rejected?
45 candidates are expected to be rejected.
What is a percentage in math?
percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part. 100 percent represents the entirety and 200 percent specifies twice the given quantity.Here, we want to calculate the number of candidates to be rejected
The number of candidates to be rejected can be calculated from;
100% - (28% + 12%) = 60%
So 60% of the 75 interviewed are to be rejected
Thus, we have
60/100 * 75
= 45
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An unfair coin is flipped. if a head turns up you win $1. the probability of a head is. 54 and the probability of a tail is 0. 46. what is the expected value of the game?
Answer:
if you end up landing on a heads you should walk away with a $1.46
please help Tragize towels to the correct boxes to complete the pairs. Match the pairs of values
The results of the division of polynomials are given as follows:
h(x) = x + 3 for f(x) = x² - 9 and g(x) = x - 3.h(x) = x + 4 for f(x) = x² - 16 and g(x) = x - 4.h(x) = x - 1 for f(x) = x² - 4x + 3 and g(x) = x - 3.h(x) = x + 5 for f(x) = x² + 4x - 5 and g(x) = x - 1.What is the division of x² - 9 by x - 3?Considering that x² - 9 is the subtraction of perfect squares, we have that:
x² - 9 = (x - 3)(x + 3)
Hence the division is:
h(x) = (x - 3)(x + 3)/(x - 3) = x + 3.
What is the division of x² - 16 by x - 4?Considering that x² - 16 is the subtraction of perfect squares, we have that:
x² - 16 = (x - 4)(x + 4)
Hence the division is:
h(x) = (x - 4)(x + 4)/(x - 4) = x + 4.
What is the division of x² - 4x + 3 by x - 3?Considering that the roots of x² - 4x + 3 are x = 1 and x = 3, we have that:
x² - 4x + 3 = (x - 1)(x - 3).
Hence the division is:
h(x) = (x - 1)(x - 3)/(x - 3) = x - 1.
What is the division of x² + 4x - 5 by x - 1?Considering that the roots of x² + 4x - 5 are x = -5 and x = 1, we have that:
x² + 4x - 3 = (x + 5)(x - 1).
Hence the division is:
h(x) = (x + 5)(x - 1)/(x - 1) = x + 5.
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How much work can a 500 w Electric mixer do in 2.5 minutes
Answer:
Work(W)=7.5*10⁴J
Step-by-step explanation:
Greetings !
[tex]firstly \: recall \: the \: work \: power \: equation \\ w = pt \\ substitute \: known \: variables \: to \: the \: equation \\ w = (500)(150) \\ change \: 2.5min \: to \: second = 150second \\ solve \: for \: work \\ w = 7.5 \times 10 {}^{4} j[/tex]
Select the order in which the operations should be performed
(L20) 5 – 3(4)
Subtract 3 from 5, then multiply that number by 4.
Multiply 3 and 4, then subtract that total from 5.
Subtract 4 from 5, then multiply that number by 3.
Multiply 5 and 4, then subtract 3 from that total.
Answer:
Multiply 3 and 4, then subtract that total from 5.
Step-by-step explanation:
You would need to follow P.E.M.D.A.S.
Parentheses, Exponents, Multiply & Divide, Add & Subtract
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True or false: f(x) is a function
Answer Section 1. <3
Heyy, I'm sunny and I'm here to help you :)
(P.S: answer in explanation)
----------------------------------------------------------------------------------------------------------
Explanation Section:
It is false
If f(x) is a function , then for each value of x there should be a single y values
For input 0 there is a output 0
for input 10, the output is 2
for input 15, output is 3
For input 5, we have two output 1 and 3
for single input 5, the function cannot have two outputs 1 and 3
So this f(x) is not a function
Bye! - SunnyBunny <3
In c 11 you cannot use a range-based for loop to modify the contents of an array unless you declare the range variable as a reference variable. true false
This statement is true that the In c 11 you cannot use a range-based for loop to modify the contents of an array unless you declare the range variable as a reference variable.
According to the statement
we have given that the one statement and we have to tell that the those statement is true or false after analyzing it.
So,
In C++ 11 is a programming language which is used to write the coding. And in this language you cannot use a range-based for loop to modify the contents of an array unless you declare the range variable as a reference variable.
Because in the coding it is not possible that the you can make loop without declare the random variable in the loop.
Due to this reasons without declare the variable it is not possible.
So, This statement is true that the In c 11 you cannot use a range-based for loop to modify the contents of an array unless you declare the range variable as a reference variable.
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help i dont feel like doing the math
Answer:
A
Step-by-step explanation:
First, we should put this equation in slope-intercept form by isolating y.
Thus, we have:
[tex]2x-\frac{4}{3}y=4\\ -\frac{4}{3}y=4-2x\\ y=\frac{3}{2}x-3[/tex]
The slope-intercept equation shows that the y-intercept is -3 and the slope is 3/2.
Only answer A meets these requirements.
Given that it was less than 80º on a given day, what is the probability that it also rained that day? 0.3 0.35 0.65 0.7
The probability that it also rained that day is to be considered as the 0.30 and the same is to be considered.
What is probability?The extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.
The probability that the temperature is lower than 80°F and it rained can be measured by determining the number at the intersection of a temperature that less than 80°F and rain.
So, This number is 0.30.
Hence, we can say that it was less than 80°F on a given day, the probability that it also rained that day is 0.30.
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The above question is incomplete.
The conditional relative frequency table was generated using data that compared the outside temperature each day to whether it rained that day. A 4-column table with 3 rows titled weather. The first column has no label with entries 80 degrees F, less than 80 degrees F, total. The second column is labeled rain with entries 0.35, 0.3, nearly equal to 0.33. The third column is labeled no rain with entries 0.65, 0.7, nearly equal to 0.67. The fourth column is labeled total with entries 1.0, 1.0, 1.0. Given that it was less than 80 degrees F on a given day, what is the probability that it also rained that day?
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Answer: Its 0.3 so the first one
Step-by-step explanation:
Im 101% sure
Build Your Math Skills 2B, Round decimals to the nearest hundredth (0.01): 1223.075
Answer: 1223.07
Step-by-step explanation: you don't round up
can someone please help me(20 points will give brainliest!!!)
Answer:
a. 1080
b. 405
Step-by-step explanation:
Function evaluation is often conveniently done using a calculator. Many calculators know about the order of operations, so can be used without fear of an incorrect evaluation.
a)Put the value where the variable is and do the arithmetic.
f(x) = 40(3^x)
f(3) = 40(3^3) = 40(27) = 1080
b)g(x) = 5(3^(x+1))
g(3) = 5(3^(3+1)) = 5(3^4) = 5(81) = 405
if 1+sin² =3sin *cos, prove that tan = 1 or 1/2
Step-by-step explanation:
hif 1+sin² =3sin *cos, prove that tan = 1 or 1/2which graph below shows the solutions for the linear inequality y>- 1/3x + 1
The graph that shows the solutions for the inequality, y > -1/3x + 1 is: C. Graph A.
How to Find the Graph of a Linear Inequality?The inequality sign, ">" means that the graph of the inequality has a dashed line where the shaded part is above the boundary line and the boundary line is dashed or dotted. If "≥" is used, the boundary line would not be dashed or dotted and the shaded area would be above it.
On the other hand, "<" is used when the shaded area is below the boundary line and the boundary line is a dashed line. If "≤" was used, the boundary line won't be dashed or dotted, while the shaded area would be below the boundary line that is not dotted.
Given y > -1/3x + 1, the slope (m) = change in y / change in x is -1/3.
Graph A has a slope of -1/3 and the shaded part is above the boundary line.
Therefore, the graph that shows the solutions for y > -1/3x + 1 is: C. Graph A.
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What is the value of x in the equation7x+2y=48 , when y = 3?
Answer:
x = 6
Step-by-step explanation:
put '3' in where 'y' is :
7x + 2(3) = 48
7x + 6 = 48 subtract 6 from both sides of the equation
7x = 42 divide both sides by 7
x = 6
10.
JKLM is a rhombus KLN is a triangle. Find MKN.
Answer:
65°
Step-by-step explanation:
JM = JK (all sides of a rhombus are equal)
Angle JKM = 25° (isosceles triangle)
Angle JKL = 50° (consecutive angles of rhombus)
Angle MKL = 25° (angle subtraction)
Angle MLK = 130° (opposite angles of a rhombus)
Angle KLN = 50° (angles on a straight line)
Angle LKN = 40° (angle sum of triangle)
Angle MKN = 65° (angle addition)
Let ABCD be an isosceles trapezoid (AB//CD). Draw AE, BF perpendicular to CD (E, F belong to CD), Let AB = 8cm, CD = 18cm, AD = 13cm.
a) Prove that triangle ADE = triangle BCF
b) Calculate DE, CF.
c) Calculate AE.
Thanks for solving the homework
A trapezoid is a plane figure bounded by four sides. Therefore, the required answers are given below;
a) ΔADE = ΔBCF (Side-Angle-Side congruent property)
b) DE = 5 cm and CF = 5 cm
c) AE = 12 cm
Plane figures are shapes that are formed by straight boundaries referred to as sides. Examples include; square, rectangle, trapezium, etc.
A trapezoid is a family of quadrilaterals., these are figures that have four straight sides.
In the given question, the required answers are:
a) To prove that ΔADE = ΔBCF
Thus,
AE ⊥ DC (given)
BC ⊥ DC (given)
<AED = <BFC = [tex]90^{o}[/tex]
AE = BF (height of the trapozoid)
<ADE ≅ <BCF (congruent property of two triangles)
Therefore, it can be concluded that;
ΔADE = ΔBCF (Side-Angle-Side congruent property)
b) Given that AB = 8 cm, and DC = 18 cm.
Then,
CD = DE + EF + FC
18 = DE + 8 + FC (since EF = AB)
18 - 8 = 2 DE (since DE = FC)
DE = 5 cm
Thus, DE = 5 cm and CF = 5 cm
c) To determine the value of AE, we have to apply the Pythagoras theorem. So that;
[tex]/Hyp/^{2}[/tex] = [tex]/Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]
[tex]13^{2}[/tex] = [tex]AE^{2}[/tex] + [tex]5^{2}[/tex]
169 - 25 = [tex]AE^{2}[/tex]
[tex]AE^{2}[/tex] = 144
AE = [tex]\sqrt{144}[/tex]
= 12
AE = 12 cm
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The formula c² = a² + b² is the Pythagorean Theorem used to find the sides of a right
triangle. Find the leg of the right triangle (b) if the hypotenuse (c) is 13 cm. and the other leg of
the right triangle (a) is 12 cm.
A. 4 cm
B. 18 cm
C. 5 cm
D. 14 cm
Answer: 5 cm
Step-by-step explanation:
B = [tex]\sqrt{13^{2} -12^{2} } = 5[/tex]
Answer:
OPTION C, 5
Step-by-step explanation:
Using the formula, substitute the hypotenuse and the other leg of the right triangle.
13²=12²+b²
Rearrange appropriately.
13²-12²=c²
Convert.
13²=169
12²=144
Apply and work out.
169-144= 25
c²=25
c=√25
c=5
OPTION C is therefore the answer.
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