Answer: 9 and -5
Step-by-step explanation: 2+7=9 and 2-7=-5
The difference of the number of grades and the number of degrees of the same angle is 16. Find the number of degrees and grades of the angle.
Answer:
160 grades or 144 degrees================================
Relationship between grade and degree is:
100 grades is same as 90 degrees,or
100G = 90Dor
G = 90D/100G = 0.9DWe have angle x grades for which, the difference of grades and degrees is 16.
We can show this as:
x - 0.9x = 160.1x = 16x = 16/0.1x = 160The number of degrees is:
160 - 16 = 144A project is budgeted for 2400 hours and will last 3 weeks. Technicians will cover 25% of the project for the first week and then 60% for the final two weeks. If each technician normally works 40 hours per week, how many technicians are there?*
Using the percentage and hours, the total number of technician that was there is 42.
How to find the number of technicians that are there?The project is budgeted for 2400 hours and will last 3 weeks.
This means the whole project will last for 2400 hours for 3 weeks.
Technicians will cover 25% of the project for the first week and then 60% for the final two weeks.
This simply implies 25% of the project will be completed in the first week. Then 60% of the remainder of the project will be completed the final two weeks.
Each technician normally works 40 hours per week.
Therefore,
Number of hours for the first week = 25 % of 2400
Number of hours for the first week = 25 / 100 × 2400
Number of hours for the first week = 600 hours
Therefore,
number of technicians for the first week = 600 / 40
number of technicians for the first week = 15 technicians
Therefore,
Number of hours for the final two week = 60 % of (2400 - 600)
Number of hours for the final two week = 60 / 100 × 1800
Number of hours for the final two week = 1080 hours
Hence,
number of technicians for the final two week = 1080 / 40
number of technicians for the final two week = 27 technicians
Therefore, the total number of technician that was there is 42.
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Algebra 2
Simplify h(f(x-3))
when
f(x)= 2x-4
h(x)= 5-x
Please use explanations with every step!!! Thank you in advance!!!!
The Algebra of Functions
Like terms, functions may be combined by addition, subtraction, multiplication or division.
Example 1. Given f ( x ) = 2x + 1 and g ( x ) = x2
+ 2x – 1 find ( f + g ) ( x ) and
( f + g ) ( 2 )
Solution
Step 1. Find ( f + g ) ( x )
Since ( f + g ) ( x ) = f ( x ) + g ( x ) then;
( f + g ) ( x ) = ( 2x + 1 ) + (x2
+ 2x – 1 )
= 2x + 1 + x2
+ 2x – 1
= x
2
+ 4x
Step 2. Find ( f + g ) ( 2 )
To find the solution for ( f + g ) ( 2 ), evaluate the solution above for 2.
Since ( f + g ) ( x ) = x2
+ 4x then;
( f + g ) ( 2 ) = 22
+ 4(2)
= 4 + 8
= 12
Example 2. Given f ( x ) = 2x – 5 and g ( x ) = 1 – x find ( f – g ) ( x ) and ( f – g ) ( 2 ).
Solution
Step 1. Find ( f – g ) ( x ).
( f – g ) ( x ) = f ( x ) – g ( x )
= ( 2x – 5 ) – ( 1 – x )
= 2x – 5 – 1 + x
= 3x – 6
Step 2. Find ( f – g ) ( 2 ).
( f – g ) ( x ) = 3x – 6
( f – g ) ( 2 ) = 3 (2) – 6
= 6 – 6
= 0
Answer: 15-2x
Step-by-step explanation:
h(f(x)) means you have to write equation in f(x) to every x you see in h(x) which is,
h(f(x))=5-2x+4=9-2x
if we need h(f(x-3)) we will take x as x-3 so,
h(f(x))=15-2x
Which of the following is true for the relation f(x)=1/3x+5
The true statement about the relation is both the relation and the inverse are functions
How to determine the true statement?The equation of the relation is given as
f(x) = 1/3x + 5
The above equation is a linear relation
A linear relation is a function.
Also, the inverse of the linear relation is a function.
Hence, the true statement about the relation is both the relation and the inverse are functions
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Which three pairs of side lengths are possible measurements for the triangle?
Answer:
2 , 3 , and 6
Step-by-step explanation:
so basically , in 30 60 90 triangles , the long flat side ( GH ) is x square root 3 . the short flat side ( HI ) is x . and the hypotenuse ( opposite of the right angle aka the diagonal line GI ) is 2x . and thats the formula for it so yeah , the second 3rd and last work ! sorry for the wack explaination .
Brian ran 17 miles in 2.5 hours. What was brian’s rate in miles per hour .
Melissa Jackson, bookkeeper for Kinko Company, cannot prepare a bank reconciliation. The bank statement showed a $2,955.82 balance. Melissa’s checkbook showed a $3,301.82 balance. Melissa placed a $510.19 deposit in the bank’s night depository on June 30. The deposit did not appear on the bank statement. The bank included two DMs and one CM with the returned checks: $690.65 DM for NSF check, $8.50 DM for service charges, and $400.00 CM (less $10 collection fee) for collecting a $400.00 non-interest-bearing note. Check number 811 for $110.94 and check number 912 for $82.50, both written and recorded on June 28, were not with the returned checks. The bookkeeper had correctly written check number 884, $1,000, for a new cash register, but she recorded the check as $1,069. The May bank reconciliation showed check number 748 for $210.90 and check number 710 for $195.80 outstanding on April 30. The June bank statement included check number 710 but not check number 748.
Kinko's checkbook balance: $3,301.82 +Collection on notes receivable: $400,00 -Collection fee: $10.00 Notes-fee- $390.00 Error in recording: $69.00 Balance (Notes-fee)+Error= $3,760.82 -NSF Check: $690.65 -Service Charge: $8.50 Total in deduct: $699.15 Reconciled Balance: $3,061.67
Kinko's bank balance: $2,955.82
+Deposit in transit: $510.19 Balance+DIT= $3,466.01 -Outstanding checks (total): $404.34 Reconciled balance: $3,061.67
lim_(g(x))
X-2
=
=
lim (2x - 1)
X-2
Use squeeze theorem
Answer:
привет как вы это t6767
Step-by-step explanation:
←−→ W X and ←→ Y Z intersect at point V. If m ∠ W V Y = ( 4 a + 58 ) ° and m ∠ X V Y = ( 2 b − 18 ) ° , find the values of a and b such that ←−→ W X is perpendicular to ←→ Y Z .
The values of a and b are 8 and 54 respectively
How to find the values of a and b such that WX is perpendicular to YZ?The given parameters are:
WVY= 4a + 58
XVY = 2b - 18
From the question, we understand that WX is perpendicular to YZ
This means that
WVY= 90
XVY = 90
So, we have
4a + 58 = 90
2b - 18 = 90
Solve for a in 4a + 58 = 90
4a = 90 - 58
Evaluate
4a = 32
Divide by 4
a = 8
Solve for b in 2b - 18 = 90
2b = 90 + 18
Evaluate
2b = 108
Divide by 2
b = 54
Hence, the values of a and b are 8 and 54 respectively
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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
If p-1 is a factor of p4+ p²+ p-k the value of k is
The value of k for the given equation is k = 3.
What is defined as the factor?A factor is a number which divides another number by itself and leaves no remainder.
In the other words, whenever multiplying two whole numbers yields a product, the numbers being multiplied are factors of a product because the product is divisible by them.Factors can be found using two methods: multiplication and division. Furthermore, rules of divisibility might well be applied.The factor of a number is always less than as well as equal to the number; it is never greater than the number.With the exception of 0 and 1, every integer has at least two factors: 1 and the amount itself.For the given equation;
p⁴ + p² + p - k has the factor of p -1.
It means, for p = 1, is the roots of the equation and thus, must satisfy it.
Put p = 1 in the equation and put equal to zero.
p⁴ + p² + p - k = 0
1⁴ + 1² + 1 - k = 0
3 - k = 0
k = 3
Thus, the value of the k is found as 3.
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its 3 because i know its 3
An insurance agent has a list of 7 prospects and decides to telephone 3 of the prospects today and the other 4 prospects tomorrow. In how many different ways can the agent telephone the prospects?
The number of different ways the agent can telephone the prospects = 1020
In this question, an insurance agent has a list of 7 prospects and decides to telephone 3 of the prospects today and the other 4 prospects tomorrow.
We need to find the number of different ways the agent can telephone the prospects.
We use the formula of permutation.
^n(P_r) = n! / (n - r)!
where n! = n × (n - 1) × (n - 2) × . . . × 1
For this question, n = 7
The number of different ways the agent can telephone the prospects today.
We use r = 3
^7n(P_3)
= 7! / (7 - 3)!
= 210
And the number of different ways the agent can telephone the prospects tomorrow.
We use r = 4
^7n(P_4)
= 7! / (7 - 4)!
= 810
so, the number of different ways the agent can telephone the prospects = 210 + 810
= 1020
Therefore, the number of different ways the agent can telephone the prospects = 1020
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Marcus dives from the surface of the ocean to a reef 18 meters below sea level .what integer represents Marcus location relative to the surface?How far does Marcus have to go to return to the surface
The integer that represents Marcus location relative to the surface is -18 and Marcus has to go 18 meters to return to the surface
What integer represents Marcus location relative to the surface?The depth is given as
Depth = 18 meters below sea level
Below sea level is represented as negative
So, we have
Depth = -18
Hence, the integer that represents Marcus location relative to the surface is -18
How far does Marcus have to go to return to the surfaceThe distance to return to the surface is
Distance = |Depth|
This gives
Distance = |-18|
Evaluate
Distance = 18
Hence, Marcus has to go 18 meters to return to the surface
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The album received the following ratings on a 1-to-10 scale from 10 music critics. What is the meaning of the ratings? 9.6, 9.8, 7.2, 6.4, 10.0, 8.9, 5.0, 9.8, 9.4, 6.8
The rating shows the quality and performance of the album.
What is the rating?A review or assessment of something in terms of quality, quantity, or a mix of the two is called a rating. A rating is something that indicates the performance or quality of anything. If the rating is higher then it is superior and if it is lower then it is poorer.
Given ratings are 9.6, 9.8, 7.2, 6.4, 10.0, 8.9, 5.0, 9.8, 9.4, 6.8. In the given ratings the highest rating is 10 which means that it is of superior quality and the lowest rating is 5 which means that the quality is poorer.
Therefore, the rating shows the quality and performance of the album.
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A pilot flew a plane from an altitude of 6000 feet to an altitude of 18900 feet. What was the change in altitude?
Answer:
12,900
Step-by-step explanation:
18,900 - 6,000= 12,900
What is the slope of the line represented by the equation y = 4/5x -3
• -3
• - 4/5
• 4/5
• 3
Answer:
The answer is 4/5
Hi can someone please help me with these!
Answer:
64=18
Step-by-step explanation:
PLEASE HELP ILL GIVE BRAINALIEST HURRY
The elevation of city A is 96 feet below sea level; the elevation of city C is 24 feet below sea level. The elevation of city D is 1 over 4 of the elevation of city C.
Part A: Write an expression to represent the elevation, in feet, of city D. (5 points)
Part B: Solve the expression and explain why the answer is negative or positive.
The elevation of city D is 1 over 4 of the elevation of city C.
D = (1/4)CPart BD = (1/4)*(-24) = - 6The answer is negative as it is the result of the product of positive and negative numbers.
The length of a rectangle is 4 meters longer than the width. If the area is 40 square meters, find the rectangles dimentions. Round to the nearest tenth of a meter
Answer:
L = 32
W = 8
Step-by-step explanation:
Set it up algebraically:
A = L x W
A = 40 m^2
L = 4w
40 = 4w x w
40 = 5w
40/5 = 5w/5
W = 8
L = 4(8)
L = 32
help
25:4 and 45:10 as a complex fraction
Complex fraction of 25 : 4 is 6 1/4.
Complex fraction of 45 : 10 is 4 5/10.
What is the Ratio?
A ratio is an ordered pair of numbers x and y, written x / y where b ≠ 0.
The ratios are given as;
25 : 4 and 45 : 10
Now, To write the ratios in complex fraction we use division method as;
25 : 4 = 25/4
_____
4 ) 25 ( 6
- 24
-----------
1
Hence, Complex fraction of 25 : 4 is 6 1/4.
And, For ratio 45 : 10;
45 : 10 = 45/10
10 ) 45 ( 4
- 40
---------
5
Hence, Complex fraction of 45 : 10 is 4 5/10.
Therefore, Complex fraction of 25 : 4 is 6 1/4.
Complex fraction of 45 : 10 is 4 5/10.
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Use the function to evaluate the indicated expressions and simplify.
f(x) = 4x² + 3
f(x + 2) =
f(x) + f(2)=
The function to evaluate the expression is f(x)+f (2) =4x^2+22.
The function simplify () attempts to "simplify" the input expression by using clever heuristics.
⇒ f(x)=4x^2+3
⇒ f(x+2)=4(x+2)^2+3
by using algebra formula
⇒ f(x+2)=4(x^2+4+4x)+3
⇒ f(x+2)=4x^2+16x+19
by adding f(x)+f (2)
⇒ f(x)+f(2)=4x^2+3+(4×(2)^2 )+3
⇒ f(x)+f(2)=4x^2+3+(4×4)+3
⇒ f(x)+f(2)=4x^2+3+16+3
⇒ f(x)+f(2)=4x^2+22
There is a general function called simplify () that seeks to reduce an expression to its most basic form. Simplify in simply, this function is defined. reduce module.
Hence, the function to evaluate the indicated expressions and simplify f(x)=4x^2+3, f(x+2)=4(x+2)^2+3 and f(x)+f(2)=4x^2+22.
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what is 11.273.26 in word form
Answer:one million one hundred and twenty-seven thousand three hundred and twenty-six
Step-by-step explanation:
I am simply not smart
T^T
Answer:
10^6
Step-by-step explanation:
Comment
1 second = 10^5computations
10 seconds would result in10*10^5 computations
10^1*10^5 = 10^(1 + 5) = 10^6
Solve x+5>−3 and −2x−5≤1 and write the solution in interval notation. If there is no solution, type ∅.
Answer:
7/4≤x ≤-1
Step-by-step explanation:
Given the set of inequalities
−5x−3≥2 and 4x−2≥5
We are to write the solution in interval notation. We need to solve them individually first as shown;
For −5x−3≥2
add 3 to both sides
−5x−3+3≥2+3
-5x ≥5
divide both sides by -5 (note that dividing by a negative value will change the sense of the inequality sign)
-5x/-5 ≤5/-5
x ≤ -1
For the inequality 4x−2≥5;
add 2 to both sides
4x−2+2≥5+2
4x≥7
divide both sides by 4;
4x/4 ≥ 7/4
x≥7/4 or 7/4≤x
Combining 7/4≤x and x ≤ -1, the solution in interval notation is expressed as 7/4≤x ≤-1
Half of your baseball card collection got wet and was ruined. You bought 15 cards to replace some that were lost. How many did you begin with if you now have 55?
On solving the algebraic expression, the total cards present were 80.
An algebraic expression is what?In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
the number of cards in the starting hand, let x
Total card = 55
(1/2)x + 15 = 55
By solving, we discover
x = 80 cards
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sharon's organizaion hopes to raise more than $10,000 at their 5k race. what is the inequalities with the variables on both sides
Answer:
x>10000
Step-by-step explanation:
Taxpayers with an office in their home may deduct a percentage of their home-related expenses. This percentage is based on the ratio of the office's area to the area of the home. A taxpayer with a 2400-square-foot home maintains a 20-foot by 11-foot office. If the yearly electricity bills for the home come to $4500, how much of this is deductible?
$698.18 of his electricity is deductible
What is percentage ?A ratio or figure stated as a fraction of 100 is called a percentage. Although "pct," "pct," and occasionally "pc" are also used as acronyms, the percent symbol, "%," is most usually used to denote it. A % lacks dimensions and has no associated unit of measurement.
Given that : A taxpayer with a 2400 – square –foot home maintains a 20 – foot by 11- foot office . How much of the $4500 in annual electricity costs for the house is deductible?
Based on the ratio of the office's area to the home's area, this percentage was calculated.
A taxpayer keeps a 20 feet by 16 feet office in their 2200 square foot house.
How much of the $4800 in annual electricity costs for the house is deductible?
deduction =[tex]\frac{office area}{total area}total electric bill[/tex]
d = [tex]\frac{20.16}{2200}4800[/tex]
d = [tex]\frac{320}{2200}4800[/tex]
His electricity costs are deductible at d = $698.18
To learn more about $698.18 of his electricity is deductible
What is percentage ?A percentage is a number or ratio expressed as a fraction of 100. Although "pct," "pct," and occasionally "pc" are also used as acronyms, the percent symbol, "%," is most usually used to denote it. A % lacks dimensions and has no associated unit of measurement.
Given that : A taxpayer with a 2400 – square –foot home maintains a 20 – foot by 11- foot office . How much of the $4500 in annual electricity costs for the house is deductible?
Based on the ratio of the office's area to the home's area, this percentage was calculated.
A taxpayer keeps a 20 feet by 16 feet office in their 2200 square foot house.
How much of the $4800 in annual electricity costs for the house is deductible?
deduction =[tex]\frac{office area}{total area}total electric bill[/tex]
d = [tex]\frac{20.16}{2200}4800[/tex]
d = [tex]\frac{320}{2200}4800[/tex]
His electricity costs are deductible at d = $698.18
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The normal price of a laptop’s is 899€.In a sale, it’s price is reduced to 599.95€.How many percent is the discount?
Work Shown:
A = original price
B = final price
C = difference in price
C = A - B
C = 899 - 599.95
C = 299.05 <--- this is the amount you save
D = C/A
D = (299.05)/(899)
D = 0.3326
D = 33.26% approximately
What is the value of −163 − 18 − (−215)?
Answer:
34.
Step-by-step explanation:
-163 - 18 = -181
-181 - (-215) = 34.
Answer:
34
Step-by-step explanation:
-163-18-(-215)
-163-18+215
-181+215
34
(I tried my best, is this what your question was?)
A pasta recipe calls for 3 cups of crushed
tomatoes, t, for every 1/4 of olive oil, v. What
equation can be used to represent this
relationship?
Answer: t=12v
Step-by-step explanation: 3t = 1/4v Find unit rate
1/3(3t) = 1t
1/3(1/4v) = 12v
Now let's check
if v = 1/4 then 12 x 1/4 =3
I explained it the best i could it prb doesn't help but i hope it does :D
Given the functions:
f (x) = x³ + 8x
g(x)=√2x
h(x) = 4x+5
Evaluate the function (hf)(x) for x=3. Write your answer in exact simplified form. Select "Undefined" if applicable.
Answer:
h(x=8x)2x
dhhdndjeibdhxhdhsjzujdhdhxhdhhxbdnsj djjdndbzhhx
