The conditional operator creates a compound statement that sets up a condition for something to be true. Therefore, if the condition is met, the statement is true. The parts of the conditional statements are two, the first simple statement in a conditional is called the antecedent and the second simple statement is called the consequent. So, for two statements A (antecedent) and B (consequent) we will have that:
A → B that means: If A then B
In this problem:
A: A number is even.
B: The number is divisible by 2.
Thus:
A → B: If a number is even, then the number is divisible by 2.
So, the conclusion of this conditional statement is the consequent, that is, the number is divisible by 2.
Accordingly, the right answer is D. The number is divisible by 2.
the complete question is
What is the conclusion of the following conditional? A number is divisible by 2 if even.
A. The sum of the digits of the number is divisible by 2.
B. If a number is even, then the number is divisible by 2.
C. The number is even.
D. The number is divisible by 2.
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Help please i do not understand................
Answer:
x = 5
Step-by-step explanation:
All the angles of a triangle add up to 180
83 + 61 + 4x + 16 = 180
160 + 4x = 180
180 - 160 = 4x
20 = 4x
20/4 = x
5 = x
The sum of three consecutive even integers (3 integers in a row) is 120.
Use the following setup and given equation to find your solution:
1st integer = x
2nd integer = x+2
3rd integer = x+4
Equation: x+(x+2)+(x+4)=120
Solve the equation above. What is the largest of the three integers?
Answer:
42
Step-by-step explanation:
x + x + 2 + x + 4 = 120
3x + 6 = 120
3x = 114
x = 114/3
x = 38
38, 40, 42
The three integers are 38, 40, and 42.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Given that the sum of three consecutive even integers (3 integers in a row) is 120. The value of integers will be calculated as below:-
x + x + 2 + x + 4 = 120
3x + 6 = 120
3x = 114
x = 114/3
x = 38
1st integer = x = 38
2nd integer = x+2 = 38 + 2 = 40
3rd integer = x+4 = 38 + 4 = 42
Therefore, the three integers are 38, 40, and 42.
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#14: m∠EFD = ____°
need answer
The value of ∠EFD is 107 ° as this angle is part of a linear pair .
When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°.
Given the two angles are ∠EFD and ∠DFG .
Now as they are on a straight line they form a linear pair .
As a part of a linear pair their sum add up to 180°.
Now substituting the given values :
11x - 3 + 6x + 13 = 180
or, 17 x + 10 =180
or, 17 x = 170
or, x = 10
Therefore the value of the ∠EFD is given as 11x - 3 = 110 - 3 = 107° .
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systems of liner equations in three variables using substitution method
2x + y + 3z = -2
x - y - z = -3
3x - 2y + 3z = -12
Above given the the linear equations. Systems of liner equations in three variables using substitution method, the variables are (-3.2, -0.218, 0.06).
What do you mean by linear equation?The standard form for the linear equations in two variables is Ax+ By =C. For example, 2x+3y=5 is a linear equation in the standard form. When an equation is given in this form, it's pretty easy to find the both intercepts (x and y). This form is also very useful when solving systems of the two linear equations.
Solve one of the equation for one of it's variables. From the given three variables, there is no incorrect choice so choose to solve for any variable.
x= y+ z -3
Substitute the value from the first variable we solved for into the other equation and solve for the next variable.
(y+z-3) +y +3z = -2
2y+4z= 1
y= [tex]\frac{1+4z}{2}[/tex]
Substitute the value from the two variables that we solved and plug it into the remaining equation and solve for the last remaining variable.
3([tex]\frac{1+4z}{2}[/tex]+z-3) - 2 ([tex]\frac{1+4z}{2}[/tex]) + 3z= -12
3([tex]\frac{1+4z+2z-6}{2}[/tex])- 2([tex]\frac{1+4z}{2}[/tex])+ 3z= -12
3([tex]\frac{6z-5}{2}[/tex])- 2([tex]\frac{1+4z}{2}[/tex])+3z = -12
[tex]\frac{18z-15}{2}[/tex]- 1+ 4z+ 3z= -12
18z-15-2+8z +6z= -24
32z-17=-24
32z=-24+17
z=[tex]\frac{-7}{32}[/tex]= -0.218
therefore, y= 0.06
Now substitute the values:
x= 0.06+(-0.218)-3= -3.2
The three variables are (-3.2, -0.218, 0.06)
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Evaluate $\sqrt{5\cdot10\cdot14\cdot21\cdot15\cdot20}$.
If 14 people are to be divided into 4 committees of respective sizes 2, 3, 4, and 5, how many divisions are possible?
The final answer is 24,024
In the given statement is :
If 14 people are to be divided into 4 committees of respective sizes 2, 3, 4, and 5
To find the how many divisions are possible
Let us understand the:
What do you mean by Permutation?
A Permutation is an act of arranging the objects or number in order.
Formula of Permutation :
The formula for Permutations is : n P r = n! / (n - r)!
n p r = n! /(n-r)!
14 P 4 = 14 ! / (14-4)!
= 14 × 13 × 12 × 11 x 10! / 10!
= 14 × 13 × 12 × 11
= 24,024
Hence, The answer is 254,024
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2. Given the plane DGF in the diagram, which points are collinear?
1. G, E, and F
2. D, E, and F
3. H, G, and D
4. G, D, and E
Answer:
2. D, E, and F
Step-by-step explanation:
Points lie on the same straight line also called euclidean geometry.
Find the slope of the line in simplest form of a line containing points (-5,2) and (-7,4).
Answer:
-1
Step-by-step explanation:
[tex]\frac{4-2}{-7-(-5)}=\frac{2}{-2}=-1[/tex]
Simply 4/16 to the lowest term and find equivalent fraction that has a denominator of 32
Answer:
8
Step-by-step explanation:
this is because If you multiply the denominator by 2 you will get 32
so if you likewise multiply the numerator by 2 you will get 8
Samra's guardians invested money for her into a 529 College Savings Plan, which compounds annually. The growth of the savings plan per year, x, can be represented by the exponential function f(x) = 500(1.03)x. What is the meaning of the y-intercept in the context of the problem?
The percent rate of change is 500%.
The initial value of the investment is $500.
The principal amount put into the savings plan is $1.03.
The average rate of change that is occurring is 1.03.
The y-intercept of the given exponential function would be represents the initial value of the investment is $500 which is the correct option (B).
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
It is a relation of the form y = aˣ in mathematics, where x is the independent variable
The given exponential function f(x) = 500(1.03)ˣ
Here x would be represented growth of the savings plan per year
To determine the y-intercept of the function
We have to substitute the value of x = 0 in the given function,
⇒ f(x) = 500(1.03)⁰
⇒ f(x) = 500(1)
⇒ f(x) = 500
Therefore, the y-intercept of the given exponential function would be represents the initial value of the investment is $500.
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Find how long it takes a person to drive 212 miles on a highway if she merges onto a highway at 6 p.m. and drives nonstop with her cruise control set on 80 mph.
T / 23 equals -9 solve for t
Answer:
-207
Step-by-step explanation:
t/23 = -9
Multiply both sides by 23 to cancel out the denominator.
23 * (t/23) = (-9) * 23
t = -207
Which type of cable is uses a two-number designator consisting of core and cladding measurements?
Fiber optic type of cable is uses a two-number designator consisting of core and cladding measurements.
What does fiber optics serve?
Fiber optics are used for long-distance and high-performance data networking. It is often used in other telecommunications services as well, including internet, television, and telephones.What methods are used to deploy fiber optics?
Installing fiber optic cable indoors or outdoors can be done using a variety of installation methods. Outdoor cable can be buried or placed in between poles. It may also be blasted or dragged into an innerduct or conduit.Can fiber optics compete with the internet?
When compared to normal cable internet and DSL, fiber optic internet is about 20 and 80 times faster. Fiber is the best choice for the majority of internet users because it only costs $10 to $20 more each month.Learn more about fiber optics
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Mrs gerry used the following square to teach her class about quarters. the squares is divided into four equal parts.the class disagreed with their teacher that each part represents a quarters.name the misconception of the class and correct the misconception
Consider a square and divide it into four equal parts. Each part of the square is called as a quarter.
A quarter of a square is one out of four of its equal parts . In a square there are four quarters or four fourths in a whole.
From the figure, the shaded portion represents one quarter of the square i.e., [tex]\frac{1}{4} th[/tex] of a square.
A box of 8 crayons costs $0.96. How much does each crayon cost? At the unit price, how much would a box of 30 crayons cost.
Answer:
the price of 30 crayons is 3.6$.
Step-by-step explanation:
Given that
price of 8 crayons is 0.96$
so the price of 1 crayon is
0.96÷8=0.12$
now we have to find the cost of 30
crayons
we know that price of 1 crayon is 0.12$
so the price of 30 crayons is
0.12$×30= 3.6$.
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Answer:Given the cost of a box of 8 crayons, the cost of each crayon is 0.12. a box containing 30 cryaons will cost 3.6
Step-by-step explanation: Given that ,
box of 8 crayons cost=0.96 cost of each crayon=? cost of each 30 crayon box=? first, we determine the cost of abox with 30 crayons . 8 crayons cost 0.96. 1crayon cost x. x=0.96÷8=0.12 Next we determine the cost of abox with 30 crayons . 1 cryaon cost 0.12 30 crayons cost y y=30×0.12 y=3.6
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Use the distributive property to remove the parentheses.
(−6+3u+3w)(−8)
X
Ś
Answer:
you should use words that can help some people can,t under stand so this is what
A restaurant offers 3 starters, 5 mains and 4 desserts. How many possible combinations of 3 courses are there?
Uppose thataandbare mutually exclusive events for whichp(a) = 0.3,p(b) = 0.5. what is theprobability of eitheraorboccurs?
The probability of either A or B occurring will be 0.8.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
Being connected in a way that one excludes or prevents the other events from happening also: completely at odds despite the fact that their viewpoints did not conflict.
Suppose that A and B are mutually exclusive events for which P(A) = 0.3 and P(B) = 0.5.
Then the probability of either A or B occurring will be
P(AUB) = P(A) + P(B)
P(AUB) = 0.3 + 0.5
P(AUB) = 0.8
The probability of either A or B occurring will be 0.8.
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A bag contains 25 balls 20 of which are blue what percentage of balls are not blue
Answer:
20%
Step-by-step explanation:
20/25 = blue
This means 5/25 of the balls in the bag are NOT blue
(25-20 = 5)
We need to convert 5/25 to a percentage
[tex]\dfrac{5}{25} = \dfrac{5\times4}{25\times4}=\dfrac{20}{100}[/tex]
% = per cent
"per" means "out of"
"cent" means "one hundred"
so
20/100 = 20%
ANSWER PLS AND FAST MY BROTHER NEED THE HELP
Answer:
$ 124,918
Step-by-step explanation:
Plus all of them toghether.
Also: I got yo back
Answer:
124,909
Step-by-step explanation:
Add them up.
38,219 + 57,623 + 29,067 = 12,909
A washer and a dryer cost $995 combined. The washer cost $45 more than the dryer. What is the cost of the dryer?
When a washer and a dryer cost $995 combined. If the washer cost $45 more than the dryer, then the cost of the dryer is $475
The combined cost of a washer and a dryer = $995
Consider the cost of a dryer as x
The washer cost $45 more than the dryer.
The cost of the washer = x+45
Then the equation will be
x+x+45 = 995
2x+45 = 995
2x = 950
x = 950/2
x = 475
The cost of the dryer is $475
Hence, when a washer and a dryer cost $995 combined. If the washer cost $45 more than the dryer, then the cost of the dryer is $475
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The sum of Melanie's and her brother's ages is 35. Four years from now, Melanie will be 5 years older than her brother. How old is Melanie? How old is her brother?
Answer:
Sum of ages is 35
Since there are two persons and it says four years from now, each year 2 more years will be added on to the 35 so year 1: 2years Year 2:4years Year 3:6years Year 4 : 8years
35+8= 43
Remember that Melanie will be 5 years older ( which she should have already been)
so 43+5= 48 ( Melanie's age)
and 48-5 = 43 ( Her brother's age)
Find the measure of the missing angles.
d=
e=
e
d
129⁰
f
f=
Step-by-step explanation:
e = 129° ( being vertically opposite angle )
Now ,
f + 129° = 180° ( being the angle in linear pair )
Again ,
d + 90° = 180° ( being the angle in linear pair )
d = 180° - 90°
d = 90°
☘️☘️☘️ ...
Answer:
d = 90° , e = 129° , f = 51°
Step-by-step explanation:
d and 90° are a linear pair and sum to 180° , that is
d + 90° = 180° ( subtract 90° from both sides )
d = 90°
e and 129° are vertically opposite angles and are congruent , then
e = 129°
f and 129° are a linear pair and sum to 180° , that is
f + 129° = 180° ( subtract 129° from both sides )
f = 51°
steve can paint his greenhouse in four hours working alone; his ten-year-old son can paint the greenhouse alone in nine hours. working together, how long, to the nearest minute, would it take them?
Working together will take them 2 hours and 46 minutes which is 166 minutes.
What do we mean by equation?A mathematical statement made up of two phrases joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.So,
Consider these work rates in terms of "greenhouses per hour," rather than "hours per greenhouse." Steve's work rate is one-fourth of a greenhouse per hour, while his son is one-ninth of a greenhouse per hour. Now, multiply each rate by the time t to obtain the percentage of the greenhouse that each paints, and add the products to obtain one greenhouse.The work equation is now:
[tex]\begin{aligned}&\frac{1}{4} t+\frac{1}{9} t=1 \\&\frac{9}{36} t+\frac{4}{36} t=1 \\&\frac{13}{36} t=1\end{aligned}\\\frac{36}{13} \cdot \frac{13}{36} t=\frac{36}{13} \cdot 1\\t=\frac{36}{13} \mathrm{hrs}\\\frac{36}{13} \cdot 60 \approx 166 \min[/tex]
Therefore, working together will take them 2 hours and 46 minutes which is 166 minutes.
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Solve the following inequalities:
|x+2|<|x+1|
|x^2 + x -12|=x^2 +2x -6
|x-5|+|x+2|<8
The values of x are 3/ 2, 6 and 1/ 2 respectively.
How to solve the inequalitiesGiven the inequalities;
|x+2| < |x+1||x^2 + x -12| = x^2 +2x - 6|x-5| + |x+2| < 8|x+2| < |x+1|
collect like terms
|x + x| < |1 + 2|
add like terms
|2x| < |3|
Make 'x' the subject
|x| < |3/ 2|
|x^2 + x -12| = x^2 +2x - 6
Take the absolute values of the expression
x² + x + 12 = x² + 2x - 6
collect like terms
x² - x² + x - 2x = -6 + 12
- x = 6
x = 6
|x-5|+|x+2|<8
Take absolute values
x + 5 + x + 2 < 8
collect like terms
2x + 7 < 8
2x < 8 - 7
Make 'x' the subject
x < 1/ 2
Thus, the values of x are 3/ 2, 6 and 1/ 2 respectively.
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The function h is defined by the following rule
h(x)=-5x+5
Complete the function table down below
Use f(x) = 12x and f -1(x) = 2x to solve the problems.
f(2) =
f−1(1) =
f−1(f(2)) =
What multiplicity would you expect in a 1h nmr spectrum for the indicated proton(s)?
a. doublet
b. triplet
c. singlet
d. quintet
e. quartet
The multiplicity that would be in a 1H NMR spectrum for the indicated proton(s) is triplet.
The correct answer is an option (b)
NMR spectroscopy is used to examine the structure of molecules.
Another type of additional data available from 1H NMR spectroscopy is called multiplicity.
It is useful because it reveals how many hydrogens are on the next carbon in the structure.
1H NMR is a technique to confirm the structure of organic compounds or those that contain protons.
In 1H NMR technique, multiplicity provides information about the number of proton neighbors for a particular proton atom or group of atoms (neighboring typically refers to atoms within 3 bonds).
A solution-state proton spectrum is relatively fast to acquire, compared with other nuclei, and a lot of information about the structure of a compound can be deduced from it.
Therefore, the multiplicity that would be in a 1H NMR spectrum for the indicated proton(s) is triplet.
The correct answer is an option (b)
What is the quotient of three and two thirds divided by 3 fifths?
quotient = the answer to a division problem
ex. 6/3 = 2The quotient of 6 and 3 is 2.To divide by a fraction, multiply by the reciprocal of the fraction
reciprocal of a fraction = the numerator and denominator are reversed
Solving the QuestionFirst, convert "three and two thirds" into an improper fraction:
[tex]3\dfrac{2}{3}[/tex]
⇒ Multiply the whole number by the denominator and add the numerator:
[tex]\dfrac{11}{3}[/tex]
Now, we want to divide this number by three fifths:
[tex]\dfrac{11}{3}\div\dfrac{3}{5}[/tex]
⇒ Dividing by a fraction is the same as multiplying by its reciprocal:
[tex]= \dfrac{11}{3}\times\dfrac{5}{3}\\\\=\dfrac{55}{9}[/tex]
Answer[tex]\dfrac{55}{9}[/tex]
theannswer wold be 100 .33 .87
A community center sells a total of 297 tickets for a basketball game. An adult ticket costs $3. A student ticket costs $1. The sponsors collect $ 487 in ticket sales. Find the number of each type of ticket sold.
