Answer:
The "p if and only if q" statement is equivalent to "q if and only if p", then let's rewrite all the propositions in this way.
a) "If it is hot outside you buy an ice cream cone, and if you buy an ice cream cone it is hot outside."
We can define:
q = is hot outside
p = you buy an ice cream cone
Then we can rewrite this as:
"You buy an ice cream cone if and only if is hot outside"
b) "For you to win the contest it is necessary and sufficient that you have the only winning ticket."
We can define:
p = you winning the contest
q = have the winning ticket
Then we can rewrite (changing some words) this as:
"You will win the contest if and only if you have the winning ticke"
c) "You get promoted only if you have connections, and you have connections only if you get promoted."
We can define:
p = you get promoted
q = you have connections
We can rewrite the proposition as:
"You can get promoted if and only if you have connections"
d) " If you watch television your mind will decay, and conversely."
We can define:
p = you watch television
q = your mind will decay
We can rewrite it as:
"You can watch television if and only if your mind decays"
e) " The trains run late on exactly those days when I take it."
We can define:
p = The train runs late
q = I take it.
We can rewrite the proposition as:
"The train runs late if and only if I take it"
Javier built a skateboard ramp by elevating one end of an 8-foot piece of plywood so that it makes a 20 degree angle with the ground.
Answer:
2.74feet
Step-by-step explanation:
Since we are not told what to find, we can find the height of the plywood
Given the following
length of ramp = 8feet
angle of elevation = 20degrees
Required
Height of the plywood
Using the SOH CAH TOA identity
Sin theta = opposite/hypotenuse
Sin 20 = H/8
H = 8sin20
H = 8(0.3420)
H = 2.74 feet
Hence the height of the plywood is 2.74feet
What is the answer and how do you get it?
Answer:
it would D, when you simplify both expressions, they get the same result which is 1024y^6
Match the cube roots and square roots with their values.
V4
327
64
364
49
31,000
2
10
3
4
8
7
Select ALL the expressions that are equivalent to -4(8x-3)
A) -20X
B) 4(3-8x)
C) -32x-12
D) 2(-16x+6)
E) 5-9(8x-3)
Answer:
dddddStep-by-step explanation:
The diameter of a circle is 19 ft. Find the circumference to the nearest tenth.
Answer:
Half of 19 = 9.5(new radius)
2 x 3.4 x 9.5 = 64.6 ft is your answer.
Formula of circumference:
2 x 3.14(pi or 22/7 depending on what they tell you to use for pi) x radius(half of diameter or given radius)
Answer:
C = 59.7
Step-by-step explanation:
The formula for the circumference of a circle is C = 2πr
R = radius
The radius is the half of a diameter, so 19/2 is 9.5.
C = 2π(9.5)
C = 59.69026041
Help Me And If ITs Right Ill Give Brainliest to you
Answer: I thınk so aswer ıs B
Step-by-step explanation:
MARKING BRAINLIEST ..Please
Answer:
B
Step-by-step explanation:
Have a good day :)
Answer: I think D.
Step-by-step explanation:
9 Sam earns $54 275 in a year.
He pays no income tax on the first $8200.
He pays 18% income tax on everything he earns over $8200.
a Work out how much income tax he pays.
b Work out what percentage of his income he pays in tax.
c If the income tax rate is increased to 21%, how much more tax will Sam pay?
Answer:
See all three answers below
Step-by-step explanation:
Given data
Amount Earned= $54275
Income Tax= 18%
a Work out how much income tax he pays.
Amount of income tax
=18/100*54275
=0.18*54275
=$9769.5
b Work out what percentage of his income he pays in tax.
=9769.5/54275*100
=0.18*100
=18%
c. If the income tax rate is increased to 21%, how much more tax will Sam pay?
=21/100*54275
=0.21*54275
=$11397.75
help plzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
I think I just posted that last time. Check my timeline
1) Bruce L. Sprouts had to take a loan worth $5,000.
The loan has a 3.5% interest rate.
He has to pay the loan off in 6 years.
A) How much will he have to pay for the interest?
B) How much will he have to pay total? Please answer fast show your work you will be marked as brain
Answer:
A) $1,050
B) $6,050
Step-by-step explanation:
We solve using the Simple Interest formula
Simple Interest (I) = Principal × Rate × Time
From that above question, we have the parameters
Principal = $5000
Rate = 3.5 % = 0.035
Time = 6 years
A) How much will he have to pay for the interest?
Hence,
Interest = $5,000 × 0.035 × 6
= $1,050
Therefore, the amount of interest he will have to pay is $1,050
B) How much will he have to pay total?
The amount he will have to pay in contact =
Principal + Interest paid on loan
= $5,000 + $1,050
= $6,050
The length of a rectangle is 8feet less than the width. The perimeter is 64 feet. Find the length and the width
Answer:
Length = 4 feet
Width = 4 feet
Step-by-step explanation:
The perimeter of a rectangle formula = 2L + 2W
Where L = Length
W = Width
The length of a rectangle is 8feet less than the width.
Hence,
L = 8 - W
The perimeter is 64 feet.
Hence,
64 = 2(8 - W) × 2W
64 =( 16 - 2W )2W
64 = -4W² + 32W
4W² - 32W + 64 = 0
Factorise
4W² - 16W - 16W + 64 = 0
4W (W - 4) - 16(W - 4) = 0
W - 4 = 0
W = 4
Width = 4
Solving for L
L = 8 - W
L = 8 - 4
L = 4
Therefore,
Length = 4 feet
Width = 4 feet
At cracker barrel there are 15 side items to choose from. You order a variety plate that consists of 5
sides. In how many different ways can you choose your plate?
Answer:
3003
Step-by-step explanation:
It is going to be 15C5
PLS HELP ASAP!!
50 POINTS!
Answer:
135Step-by-step explanation:
3³· (12 - 2) ÷ 2 = 3³ · 10 ÷ 2 = 27 · 10 ÷ 2 = 270 ÷ 2 = 135Find the MEDIAN of the data set. (Hint: the numbers must be in order first!) 40 76 40 63 47 57 49 55 50 53
Given:
The data set is:
40, 76, 40, 63, 47, 57, 49, 55, 50, 53
To find:
The median of the given data set.
Solution:
We have,
40, 76, 40, 63, 47, 57, 49, 55, 50, 53
Arrange the data values in ascending order.
40, 40, 47, 49, 50, 53, 55, 57, 63, 76
Here, the number of observations is 10 which is an even number. So, the median is:
[tex]Median=\dfrac{(\dfrac{n}{2})\text{th term}+(\dfrac{n}{2}+1)\text{th term}}{2}[/tex]
Putting n=10, we get
[tex]Median=\dfrac{(\dfrac{10}{2})\text{th term}+(\dfrac{10}{2}+1)\text{th term}}{2}[/tex]
[tex]Median=\dfrac{5\text{th term}+6\text{th term}}{2}[/tex]
From the arranged terms, it is clear that the the 5th term is 50 and the 6th term is 53.
[tex]Median=\dfrac{50+53}{2}[/tex]
[tex]Median=\dfrac{103}{2}[/tex]
[tex]Median=51.5[/tex]
Therefore, the median of the given data set is 51.5.
Christopher the barber did 8 haircuts. One of the 8 was a walk-in. Express the amount
of walk-ins as a percent.
The price of an item yesterday was $130. Today, the price rose to $351. Find the percentage increase.
please help and I will mark you braniest!
Answer: The percentage increase is 170%
Step-by-step explanation:
Increase= $351 - $130
Increase= 221
Percent increase = 221/ 130
Percent increase= 170%
I'm not sure if I'm right, but I hope that this helped:)
Answer:
170%
Step-by-step explanation:
130 = 100%
65 = 50%
13 = 10%
351 - 130 = 221 (doesnt count)
221 - 130 = 91
91 - 65 = 26
26 - (13 + 13) = 0
100 + 50 + 20 = 170%
What is the range of the function f(x)=2x+4f(x)=2x+4 when the domain is {-2, 0, 3}?
A. {0, 4, 10}
B. {4.25, 5, 12}
C. {4.25, 4, 12}
D. All real numbers
Determine whether the triangles are similar. If they are, write a similarity statement. Explain your reasoning.
Answer:
yes
Step-by-step explanation:
angle XZY = GHF (given)
zxy =48° And ghf =48°
same no of angle are equql
Tatum walks her dog 2/3 of a mile every day after school how many miles does she walk her dog in 5 days
Answer:
i think it is 3 miles but dunno
Step-by-step explanation:
Which table represents a nonlinear function?
Answer:C
Step-by-step explanation: When a table represents a nonlinear function, the rate of change is not constant. A wouldn't be the answer because the rate of change is always +10 (you would add 10 to get from -9 to 1; you would add 10 to get from 1 to 10) . It wouldn't be B because the rate of change is always -2, and the rate of change for D is always +3. For C, however, the rate of change is not constant all the way through (to get from 0 to 6, you would add 6, but to get from 6 to 16 you add 10).
It’s about solving systems of equations...
Answer:
(-1,-1)
Step-by-step explanation:
A school eacher took some student to the amusement park. 1/2 of them has 3 rides on the merry-go-round. 3/5 of the remainder had two rides and the rest of the children had one ride. If 8 students had one ride. How many students did she take to the amusement park?
Answer:
40 students
Step-by-step explanation:
Total students in the amusement park = x
Students who had 3 rides = 1/2x
Remainder = x - 1/2x
= 1/2x
Students who had two rides = 3/5 of 1/2x
= 3/5 * 1/2x
= 3/10x
Students who had one ride = 8 students
x = 1/2x + 3/10x + 8
x = (5x+3x) / 10 + 8
x = 8/10x + 8
x = 4/5x + 8
x - 4/5x = 8
(5x-4x) / 5 = 8
1/5x = 8
x = 8 ÷ 1/5
x = 8 × 5/1
x = 40 students
Total students in the amusement park = x = 40 students
For any number, y
Add one third of the number
Then subtract _____________ of the result.
The answer is y
Answer:
y/3
Step-by-step explanation:
According to the conditions :
y + y/3 - x = y
y + y/3 - y = x
(3y + y - 3y )/3 = x
y/3 = x
Answer:
[tex]\frac{3}{12}[/tex]
Step-by-step explanation:
Create an equation and solve for x:
[tex]y + \frac{1}{3} y = \frac{4}{3} y\\\frac{4}{3}y - x(\frac{4}{3}y) = y\\x = \frac{3}{12}[/tex]
Which of the following is a dilation?
Answer:
A) image is being doubled in size in A
Step-by-step explanation:
B and C are rotations
D is a translation
The product of -3 and -7 is positive.
True False
Answer:
True ☑
Step-by-step explanation:
[tex] - 3 \times - 7 \\ = {}^{ + } 21[/tex]
I need help on this equation
There are 4 portable classrooms at Glynn High School. Four teachers will be assigned to the rooms. In how many ways can these assignments be made?
Answer:
24
Step-by-step explanation:
In the first classroom, there are 4 possibilities of teachers to be assigned.
In the second classroom, 1 teacher has already been assigned, so there are 3 possibilities.
In the third classroom, 2 teachers have already been assigned, so there are only 2 possibilities.
Finally, there is only 1 possible teacher for the fourth classroom, since 3 teachers have already been assigned to other classrooms.
We can find the total number of possibilities using the product rule.
N = 4 × 3 × 2 × 1 = 24
What is the equation of the line that passes through the point (-4, 2) and has a slope of -5/4?
Answer:
y = -5/4 x - 3 is the slope-intercept form
5x + 4y = -12 is the standard form
Step-by-step explanation:
Use the point-slope form: [tex]y - y_{1} = m(x - x_{1})[/tex]
[tex](x_{1}, y_{1})[/tex] = (-4, 2)
y - 2 = -5/4(x + 4) Multiply by 4 to remove the fraction
4y - 8 = -5(x + 4)
4y - 8 = -5x - 20
4y = -5x - 12
y = -5/4 x - 3 is the slope-intercept form
5x + 4y = -12 is the standard form
Jose has a bag of 6 blue marbles, 3 white marbles, and 8 black marbles. What is the probability that he pulls a blue marble out of the bag?
Wait what about this one
Answer:
I believe it is 7/20
Step-by-step explanation: