Answer:
The majority of theorems in mathematics take the form of compound statements. These statements are called conditional and biconditional statements.
The conditional statement from the sentence above is:
If x is an engineer then x is resourceful.
Put in a mathematical form we can refer to the Implication as:
If Xe then R. Or
Xe implies R. Or
Xe if R.
The Hypothesis is stated as
Xe ⇒ R
The statement Xe in an implication Xe ⇒ R is called its hypothesis, premise, or antecedent, and R the conclusion or consequence.
Implications are critical in expressing a logical argument. If an implication is found to be true, then the consequences must be as well when the hypothesis satisfied. This is why is also referred to as a conditional statement.
Cheers
Simplify: ⅕y - ⅗y + 5 - ⅖y - 8
pls
Answer:
The answer is -(4/5)y - 3.
Step-by-step explanation:
The steps are :
[tex] \frac{1}{5} y - \frac{3}{5} y + 5 - \frac{2}{5} y - 8[/tex]
[tex] = ( \frac{1 - 3 - 2}{5} y) + (5 - 8)[/tex]
[tex] = - \frac{4}{5} y - 3[/tex]
Step-by-step explanation:
⅕y - ⅗y + 5 - ⅖y - 8
-0.8y-3
-4/5y-3
Help? Please? And make sure the answer is right plz!! :) and have a good day
Answer:
-7
Step-by-step explanation:
The amount of degrees would be the same in both those corner/angle/section are. and have a good day as well!
lena purchased a prepaid phone card for $20. long distance call cost 18 cents a minute using this card. Lena used her cared only once to make a libg distance call. if the remaining credit on her card is $13.34, how many minutes did her call last?
Answer:
37 minutes
Step-by-step explanation:
We start by finding the difference between the original amount and what is left
Mathematically, that will be;
20-13.34 = 6.66
To
cents that will be 6.66 * 100 = 666 cents
We now divide by the amount per minute
The amount per minute is 18 cents
Thus, the number of minutes will
be 666/18 = 37
The formula to convert Celsius to Fahrenheit is FC +32. Convert 87°F to
Celsius. Round to the nearest degree.
Answer:
31°
Step-by-step explanation:
To convert Fahrenheit to Celsius is C= (F-32) * 5/9
So first do parenthesis 87-32= 55
Next multiply that number by 5/9 which is 30.55555555
Then round your answer = 31°
The length of a diagonal of a square is 10 square root of 2 inches. Find the length of one side of the square.
Answer:
10inches
Step-by-step explanation:
Let the length of one side of the square be a
If the diagonal of a square is 10√2 inches
According to pythagoras theorem
a²+a² = (10√2)²
2a² = 100(2)
2a² = 200
a² = 200/2
a² = 100
a = √100
a = 10
Hence the length of one side of the square is 10inches
You are offered a job that pays $41,000 during the first year, with an annual increase of 7% per year beginning in the second year. That is, beginning in year 2, your salary will be 1.07 times what it was in the previous year. What can you expect to earn in your fourth year on the job? Round your answer to the nearest dollar.
Answer:
50227
Step-by-step explanation:
Here is the sales tax on the same items in City 3.
What is the tax rate in this city? Show work on the
sketch. (Remember to round to the nearest penny.)
Sales tax percentage
Check
For the sales tax on the laundry soap, Kiran says it
should be $0.84. Lin says it should be $0.87. Do you
agree with either of them? Explain your reasoning.
I agree with Kiran
I agree with Lin
I don't agree with either of them
Explain your thinking.
cause your multiplying the numbers
Edit my response
Answer:
This needs more detail.
Step-by-step explanation:
Norma and Albert both clean pools. Each charges a flat fee to clean a pool. Norma cleans 12 pools in 8 hours and earns $270. Albert cleans 9 pools in 7.5 hours and earns $195.75.
Answer:
Step-by-step explanation:
Noma cleans 12 pools in 8 hours
How many pools in how many minutes?
8 x 60= 480
He cleans 12 pools in 480 minutes
How many minutes does he take to clean a pool?
480/12 = 40
He cleans a pool in 40 minutes.
How much does he earn to clean a pool?
since he cleans 12 pools to earns $270
then 270/12 =22.5
Therefore, he charges $22.5 to clean a pool in 40 minutes.
Albert 9 pools in 7.5 hours
How many pools in how many minutes?
7.5 x 60= 450
He cleans 9 pools in 450 minutes
How many minutes does he take to clean a pool?
450/9 = 50
He cleans a pool in 50 minutes.
How much does he earn to clean a pool?
since he cleans 9 pools to earns $195.75
then 195.75/9 =21.75
Therefore, he charges $21.75 to clean a pool in 50 minutes.
HELPPPP: From the top of a light house 50 meters high, the angle of depression of a boat out at sea has a measure of 15°. Find to the nearest meter the distance from the boat to the foot of the light house, which is at sea level.
Answer:
13m
Step-by-step explanation:
[tex]d=50tan(15)=13m[/tex]
The required distance from the boat to the foot of the light house, which is at sea level is 13meter
Given that,
The top of a light house 50 meters high,
The angle of depression of a boat out at sea has a measure of 15°.
We have to determine,
To the nearest meter the distance from the boat to the foot of the light house, which is at sea level.
According to the question,
The angle of depression may be found by using this formula = opposite/adjacent.
The opposite side in this case is usually the height of the observer or height in terms of location.
Therefore, angle of depression = 15degree
Height of the light house = 50m
The distance from the boat of the light house is denoted by d.
Then the distance from the boat of the light house is given as.
[tex]tan15 = \frac{d}{50} \\\\d = 50 \times tan15\\\\d = 50\times0.26\\\\d = 13[/tex]
Hence, The required distance from the boat to the foot of the light house, which is at sea level is 13meter
For more information about Trigonometry click the link given below.
https://brainly.com/question/2773823
Which equation yields the solutions x=−2 and x=−10?
Options:
A. −x2−2x+35=0
B. 5x2+40x+60=0
C. −4x2+24x−20=0
D. x2+12x+20=0
Answer: its not B
sorry it only let me choose once ttm2021
A new bank customer with $3,500 wants to open a money market account. The bank is offering a
simple interest rate of 1.1%.
a. How much interest will the customer earn in 10 years?
b. What will the account balance be after 10 years?
Answer:
A. they will earn 385 dollars in interest in ten years
B. the accounts balance will be $3,885 after 10 years
Step-by-step explanation:
for part A, there are 2 possible answers, depending on what your looking for, if your looking for the percentage interest, then its 11%, but if your looking for how much they will make off of interest in 10 years, then the answer would be $385.
Equivalent factored form for 10x^2+15x-9=2x^2+x-14
Question Progress
112 Mais
Homework Progress
191 19 Mars
Find the term to term rules for the following sequences:
b)
2, 6, 18, 54, 162
Answer: Please see explanation column for answer
Step-by-step explanation:
According to sequence 2, 6, 18, 54, 162
--we can see that it is a geometric sequence since to go from one term to the next requires us to multiply by 3 which is called the common ratio which is gotten by dividing the next by the previous.
ie term 2/ term 1= 6/2 = 3
term 3/ term 2= 18/6= 3
term 4/ term 3= 54/28= 3
term 5 / term 4= 162/54=3
term 6 will therefore be 162 x3 = 486
and term 7 = 486 x 3=1,458 and so on
Recall that nth term of GP is
Tn = ar^n-1
Where a= first term
r= common ratio
n= term
such that to easily find particular term, we plug in the values and calculate
for example the 10th term of the above sequence
Tn = ar^n-1
= 2 X 3 ^(10-1)
2 X 3^9
T10 =39,366
Any help? Still learning this so it’s not of a problem. Thanks!
solve the equation P=b+c+a solve for b
Answer:
b = P - c - a
Step-by-step explanation:
Determine the area of the triangle when tana=1 the image is in the picture above
Answer:
The area will be:
[tex]A=18(1+\sqrt{3}) \: u^{2}[/tex] or [tex]A=49.18 \: u^{2}[/tex].
Step-by-step explanation:
Using the definition of tangent, we have:
[tex]tan(\alpha)=\frac{6}{\vec{AB}}[/tex]
We know that tan(α) = 1, then we can find AB
[tex]1=\frac{6}{\vec{AB}}[/tex]
[tex]\bar{AB}=6\: u[/tex]
u means any unit.
Now, we need to find the distance BC. If the angle ∠D is 60°, then ∠C must be 30°. Using the tangent definition in the triangle BCD we have:
[tex]tan(30)=\frac{6}{\bar{BC}}[/tex]
[tex]\bar{BC}=\frac{6}{tan(30)}[/tex]
[tex]\bar{BC}=\frac{6}{1/\sqrt{3}}[/tex]
[tex]\bar{BC}=6\sqrt{3} \: u[/tex]
So, the base of the triangle will be:
[tex]b=\bar{AB}+\bar{BC}=6+6\sqrt{3}=6(1+\sqrt{3}) \: u[/tex]
The area of a triangle is given by the following equation:
[tex]A=\frac{b*h}{2}[/tex]
b is the base ([tex]b=6(1+\sqrt{3})\: u[/tex])h is the height (h=6 u)[tex]A=\frac{6(1+\sqrt{3})*6}{2}[/tex]
[tex]A=18(1+\sqrt{3})[/tex]
Therefore, the area will be [tex]A=49.18 \: u^{2}[/tex].
I hope it helps you!
Calculate the quotient.
A. 3/4 divided by 5 1/5 is? B. 3/7 divided by 2 1/2 is? C. 5/8 divided by 6 5/6 is? D. 8 3/10 divided by 5/8 is?
What are the answers?
A) 3/4 ÷ 5 1/5.
Answer:
[tex] \frac{15}{104} [/tex]
B) 3/7 ÷ 2 1/2.
Answer:
[tex] \frac{6}{35} [/tex]
C) 5/8 ÷ 6 5/6.
Answer:
[tex] \frac{15}{164} [/tex]
D) 8 3/10 ÷ 5/8.
Answer:
[tex]13 \frac{7}{25} [/tex]
Domain and range anyone?
Answer:
second one
Step-by-step explanation:
range is the y values
Work out the perimeter of an equilateral triangle with side length 2.7mm
Answer:
, so easy
Step-by-step explanation:
3×2.7mm=8.1mm
Answer:
8.1mm
Step-by-step explanation:
equilateral triangle all sides are equal.
If 1 side is 2.7mm what will be the total of three sides. 2.7+2.7+2.7=8.1mm
Anyone know the middle question ?
2(x-1)=3(x-4) how many solutions
please help!!!!!! emergency
Please help on these
Answer:
14. (-8, 12) 15. (6, 7)
A net of a rectangular pyramid is shown. The rectangular base has length 26 cm and width 24 cm. The net of the pyramid
has length 74.8 cm and width 71.8 cm. Find the surface area of the pyramid.
The surface area is
cm2 help
Answer:
kk
Step-by-step explanation:
no pic
Amelia calls people at random to conduct a survey. So far, 20 calls have been answered and 30 calls have not been answered. What is the approximate probability that someone answers the next call she makes?
A.
40%
B.
67%
C.
0.6
D.
2/3
Answer: 40%
Step-by-step explanation:
I guessed on this but i got it right
Answer:
40%
Step-by-step explanation:
n
Which equation represents the line that passes through (-6, 7) and (-3, 6)?
O y=-x+9
y=-*x+5
y=-3x - 11y
y=-3x + 25
Answer:
Y=-3x-11y
Step-by-step explanation:
Not sure but I am pretty sure it is this
Mel uses one fourth of a yard of ribbon to make a hair bow how many hair bows can mel make with 1 yard of ribbon
Answer:
4
Step-by-step explanation:
If its 1/4 then you can use it 4 times to equal a whole yard
A total of 150 tickets were sold for the annual concert. Student tickets were $4 and non-students $8. If the total revenue was $840, how many tickets of each type were sold ?
Answer:
x = 90
y = 60
Step-by-step explanation:
Let x = student
Let y = non-student
x + y = 150
4x + 8y = 840 <—— Use elimination/addition ethos for both equations
8 (x + y = 150)
-1 (4x + 8y = 840) <—— Let’s eliminate y
8x + 8y = 1200
+ -4x - 8y = -840
—————————————
4x = 360
x = 90
x + y = 150 <— substitute for x from above
90 + y = 150
- 90 = - 90 <— subtract from both sides
y = 60
A ______________ is a relation that assigns exactly one output value to one input value
Answer:
A __function__ is a relation that assigns exactly one output value to one input value.
Step-by-step explanation:
Answer:
A function is a relation that assigns exactly one output value to one input value.
15 out of 60 markers are blue. What percent of the markers are blue?
How will we solve this problem?
Answer:
Step-by-step explanation:
if 15 out of 60 markers are blue
the percentage is 15/60=1/4
0.25*100=25%