5(x+1)=3x−9
Step 1: Simplify both sides of the equation.
5(x+1)=3x−9
(5)(x)+(5)(1)=3x+−9(Distribute)
5x+5=3x+−9
5x+5=3x−9
Step 2: Subtract 3x from both sides.
5x+5−3x=3x−9−3x
2x+5=−9
Step 3: Subtract 5 from both sides.
2x+5−5=−9−5
2x=−14
Step 4: Divide both sides by 2.
2x
2
=
−14
2
x=−7
Answer:
x = - 7Step-by-step explanation:
\(5(x+1)=3x-9\)
Expand the terms in the bracket
That's
\(5x + 5 = 3x - 9\)
Subtract 3x from both sides of the equation
\(5x - 3x + 5 = 3x - 3x - 9 \\ 2x + 5 = - 9\)
Subtract 5 from both sides of the equation
\(2x + 5 - 5 = - 9 - 5 \\ 2x = - 14\)
Divide both sides by 2
\( \frac{2x}{2} = - \frac{14}{2} \\ \)
We have the final answer as
x = - 7Hope this helps you
A biker traveled 2/5 of the road on the first day, then traveled 5 kilometers less on the next day, which is equal to 3/8 of the road. How much more does he need to travel? (distance)
The biker needs to travel 45 km more to complete his journey.
Given that, a biker traveled 2/5 of the road on the first day, then traveled 5 kilometers less on the next day, which is equal to 3/8 of the road, we need to find how much he need to cover more,
Let the total distance of the road be x,
So,
2x/5 - 5 = 3x/8
2x/5 - 3x/8 = 5
Solving for x,
Multiply by 40 to both sides,
16x-15x = 200
x = 200
Therefore, the total distance of the road is 200 km.
Since, he travelled =
200 (2/5) = 80 km + 200 (3/8) = 75 km = 155 km
Therefore, he needs to travel 200-155 = 45 km more.
Hence, the biker needs to travel 45 km more to complete his journey.
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y=3(2-1)2+1
Solución
Answer:
y = 7
Step-by-step explanation:
y = 3(2-1) 2 + 1
y = 3(1)(2) + 1
y = 6 + 1
y = 7
the current in the electronic circuit in the mobile phone was 0.12a the potential difference across the battery was 3.9V. calculate the resistance of the electronic circuit in the mobile phone
Answer:
Step-by-step explanation:
V = 3.9V
I = 0.12A
Ohm's Law, V = IR
Rearranging Ohm's Law, R = V/I
R = 3.9/0.12 = 32.5Ω
-1000 2/3 is not real fraction. True or false
True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.
The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.
In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.
To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.
It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.
In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.
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Ahh help!!
The paper water cups near the water jug are cones of radius 2 inches and height 4 inches if a water bottle of cylindrical shape has a radius of 2 inches and a height of 8 inches how many full paper cups of water are required to fill one water bottle?
Answer:
I think its 678.24
Hope it helps!
I need help 8-15 I’ll give you brainliest
Answer:
8-15=7
Step-by-step explanation:
Can some one help me with this i will give branlist
The values of the sides a and d are 8.5 and 2.3 respectively to the nearest tenth using the trigonometric ratios of sine and tangent.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
sin 45° = 6/a {opposite/hypotenuse}
a = 6 × sine 45°
a = 2.3094
tan 60° = 4/d {opposite/adjacent}
d = 4 × tan 45 {cross multiplication}
d = 2.3094.
Therefore, the values of the sides a and d are 8.5 and 2.3 respectively to the nearest tenth using the trigonometric ratios of sine and tangent.
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Carla drove her truck 414 miles on 18 gallons of gasoline. How many miles did she drive per gallon?
Answer:
23 miles per gallon
Step-by-step explanation:
414 miles = 18 gallons
=> 18/18 gallons = 414/18 miles
=> 1 gallon = 23 miles
So, she drove 23 miles per gallon.
A circle has a radius of 4 cm. What is the area rounded to the tenths place? (Use 3.14 for pi.) 12.6 cm squared
25.1 cm squared
50.2 cm squared
201.0 cm squared
Answer:
20.2
Step-by-step explanation:
have a nice day!!
Divide. Write your answer in simplest form. 9/2 / 1/4
Answer:
18
Step-by-step explanation:
9/2 / 1/4
keep 9/2
Change the operation to multiplication
flip 1/4 into 4 or 4/1
multiply on top and bottom and get 36/2
which 36/2 is 18 and 18 is the answer
Brainliest?
What number is not part of the solution set to the inequality below?
w−10≤16
A) 11
B) 15
C) 26
D) 27?
The number which is not the part of the solution set to the inequality below is 27.
Given inequality is,
w - 10 ≤ 16
WE have to find the solution for the inequality.
Adding both side of the inequality with 10,
w - 10 + 10 ≤ 16 + 10
w ≤ 26
So the solution of the inequality consists of all the points which are less than or equal to 26.
So it contains 11, 15 and 26.
It does not contain 27.
Hence the solution does not contain 27.
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find out what's wrong with this graph
Answer:
The y-axis is upside down, meaning that instead of the values increasing as they go up, they decrease.
Translate 2 3 y − 9 < y + 1 into a sentence. Nine than two-thirds of number is less than the number .
The sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
To translate the inequality expression "2/3y - 9 < y + 1" into a sentence, we can break it down into smaller parts:
"2/3y" represents two-thirds of a number.
"9" represents the number nine.
"y + 1" represents the number increased by one.
Now let's construct the sentence:
"Nine less than two-thirds of a number" - This refers to the expression "2/3y - 9," indicating that we have subtracted nine from two-thirds of a number.
"is less than" - This is the comparison symbol in the inequality.
"the number" - This refers to the expression "y + 1," representing the number increased by one.
Combining these parts, we form the sentence: "Nine less than two-thirds of a number is less than the number."
Hence, the correct sentence translation of "2/3y - 9 < y + 1" is "Nine less than two-thirds of a number is less than the number."
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Money is the anthem, of success, so before we go out
What's your address?
I'm your National Anthem, God, you're so handsome
Take me to the Hamptons Bugatti Veyron
He loves to romance 'em, reckless abandon, hold me for ransom, upper echelon
He says to "be cool" but, I don't know how yet, wind in my hair
Hand on the back of my neck
I said, can we party later on, he said, yes
Tell me I'm your National Anthem (Ooh yeah baby bow down, makin' me so wild now)
Tell me I'm your National Anthem (Sugar sugar, how now, take your body downtown)
Red, white, blue's in the skies, summer's in the air and baby, heaven's in your eyes
I'm your National Anthem
Money is the reason we exist
Everybody knows it, it's a fact-kiss, kiss
I sing the National Anthem
While I'm standing over your body hold you like a python
And you can't keep your hands off me, or your pants on
See what you've done to me give me Chevron
You said to "be cool" but, I'm already coolest
I said to "get real, don't you know who you're dealing with?
Um, do you think you'll buy me lots of diamonds
Tell me I'm your National Anthem (ooh yeah baby bow down, makin' me so wild now)
Tell me I'm your National Anthem (sugar sugar, how now, take your body downtown)
Red, white, blue's in the skies, summer's in the air and baby, heaven's in your eyes
I'm your National Anthem
It's a love story for the new age
For the six page, we're on a quick, sick rampage
Winin' and dinin', drinkin' and drivin', excessive buyin'
Overdose and dyin' on our drugs and our love and our dreams and our rage
Blurrin' the lines between real and the fake
God can only, I need somebody to hold me
He will do very well, I can tell, I can tell
Keep me safe in his bell, tower, hotel
Money is the anthem of success
So put on mascara, and your party dress
I'm your National Anthem, boy put your hands up, give me a standing ovation
Boy you have landed, babe in the land of, sweetness and danger, queen of Saigon
Tell me I'm your National Anthem (ooh yeah baby bow down, makin' me so wild now)
Tell me I'm your National Anthem (sugar sugar, how now, take your body downtown)
Red, white, blue's in the skies, summer's in the air and baby, heaven's in your eyes
I'm your National Anthem
Money is the anthem, God, you're so handsome, money is the anthem
Of success
Money is the anthem, God, you're so handsome, money is the anthem
Of success
Money is the anthem, God, you're so handsome, money is the anthem
Of success
Money is the anthem, God, you're so handsome, money is the anthem
Of success
Find the polar coordinates of rectangular coordinates (-√2,1). Limit θ to the interval [0,2pi) and round 2 dceimal places if needed
The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.
To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:
r = √(x² + y²)
θ = tan^⁻1(y/x)
Plugging in the given values of (-√2,1), we get:
r = √((-√2)² + 1²) = √(2 + 1) = √3
θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians
Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:
θ ≈ 2.0344 + π ≈ 5.1779 radians
Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).
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how many two digit numbers have the digit 7 only once
Answer:
There are 17 two digit numbers have the digit 7 only once.
Step-by-step explanation:
We're considering the numbers from 10-99.
1. 17
2. 27
3. 37
4. 47
5. 57
6. 67
7. Nope
7. 87
8. 97
AND 70, 71, 72,73, 74, 75, 76, SKIP, 78, 79
8 numbers end with a seven. And 9 numbers start with a seven. We toss 77 out bc it has two sevens in it.
There are 17 two digit numbers that have the digit 7 only once.
Answer:
there are 18 2-digit numbers with the digit 7 only once.
Solve the following system of equations a2+b2 ; 3a2 -2ab-b2
The system has an infinite number of solutions, but the only solution is (a, b) = (0, 0).
The given system of equations can be solved using the substitution method. We can begin by solving the first equation,\(a^2 + b^2\), for either a or b. Let's solve for a:
\(a^2 + b^2 = 0\)
\(a^2 + b^2 = 0\)
\(a^2 = -b^2\)
\(a = \pm\sqrt(-b^2)\)
We can substitute this expression for a into the second equation, \(3a^2 - 2ab - b^2 = 0\), and simplify:
\(3(\pm\sqrt(-b^2))^2 - 2(\pm\sqrt(-b^2))b - b^2 = 0\)
\(3b^2 - 2b^2 - b^2 = 0\)
0 = 0
Since 0 = 0, this means that the system of equations has an infinite number of solutions. In other words, any values of a and b that satisfy the equation \(a^2 + b^2 = 0\) will also satisfy the equation \(3a^2 - 2ab - b^2 = 0\)
However, the equation \(a^2 + b^2 = 0\) only has a single solution, which is a = b = 0. Therefore, the solution to the system of equations is (a, b) = (0, 0).
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Find the measure of the supplement of a 10° angle.
Answer:
170°
Step-by-step explanation:
180 - 10 = 170
every integer is a rational number. true or false
Answer:
True
Step-by-step explanation:
An integer is any and all numbers that are whole numbers that aren't fractions. They can be positive, negative numbers. As long as they're whole numbers (like 1, 2, 3. -1, -2, -3 etc.) they're integers.
On the other hand: Rational numbers are any number that aren't infinite non-repeating numbers like Pi, etc. The numbers like Pi and random square roots that don't make a perfect square are called irrational. Basically the opposite if rational.
So therefore all integers are rational numbers.
Hope this helps and have a nice day!
I need Help please!!!
Step-by-step explanation:
it seems you solved the tricky part yourself already.
just to be sure, let's do the first derivative here again.
the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...
f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =
= 3t⁴ + 18t³ + 24t² + 18t + 21
f'(t) = 12t³ + 54t² + 48t + 18
and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).
we simply put the input number (2) at every place of the input variable (t).
so,
f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =
= 426
*Today's Assignment*
Design a salary slip for the month of March 2023 with information given below.
Fixed vs variable ratio- 70:30
Ctc - 18L
Basic- 50%
Hra- 20%
Da - 12%
Insurance - 2500
Incentive- 75% target completion
Pf 12%
Earned leaves - 2
LOP - 4
Calculate net pay
A salary slip for the month of March 2023 with information given below.
Salary Slip - March 2023
Employee Details:
Name: [Employee Name]
Employee ID: [Employee ID]
Designation: [Employee Designation]
Earnings:
Basic Salary: [Basic Salary]
House Rent Allowance (HRA): [HRA]
Dearness Allowance (DA): [DA]
Incentive: [Incentive]
Total Earnings: [Total Earnings]
Deductions:
Provident Fund (PF): [PF]
Insurance: [Insurance]
Loss of Pay (LOP): [LOP]
Total Deductions: [Total Deductions]
Net Pay: [Net Pay]
Breakdown:
Basic Salary: 50% of CTC (18L) = [Basic Salary]
HRA: 20% of Basic Salary = [HRA]
DA: 12% of Basic Salary = [DA]
Incentive: 75% of target completion = [Incentive]
Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]
PF: 12% of Basic Salary = [PF]
Insurance: Rs. 2500 = [Insurance]
LOP: [LOP]
Total Deductions = PF + Insurance + LOP = [Total Deductions]
Net Pay = Total Earnings - Total Deductions = [Net Pay]
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Please help me for 15 points
The perimeter of a rectangle is 70cm.
Its longest side has a length of 24cm.
State the length of the shortest side.
Answer:
11 ALSO SOMEONE PLS ANSWER MY QUESTION
Step-by-step explanation:
24+24=48
70-48=22
22/2=11
Which expression shows the prime factorization of 36?
A.
32 x 4
B.
4 x 9
C.
22 x 32
D.
1 X 36
Answer:
the answer is C 2^2×3^2
Can you help Dora find which of the following polynomials has zeros when x = 5, 1/3, -7?
The polynomial that has the zeros when x = 5, 1/3 and -7 is \(P(x) = (x - 5) (x - \frac 13) (x + 7)\)
Polynomial ZerosThe zeros of the polynomial are given as:
x = 5x = 1/3x = -7Rewrite the above equations, as follows:
x - 5 = 0x - 1/3 = 0x + 7 = 0Writing the equationMultiply the above equations
\((x - 5) \times (x - \frac 13) \times (x + 7) = 0 \times 0 \times 0\)
\((x - 5) \times (x - \frac 13) \times (x + 7) = 0\)
Remove the product sign
\((x - 5) (x - \frac 13) (x + 7) = 0\)
Rewrite the above as a function
\(P(x) = (x - 5) (x - \frac 13) (x + 7)\)
Hence, the polynomial that has the zeros when x = 5, 1/3 and -7 is \(P(x) = (x - 5) (x - \frac 13) (x + 7)\)
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The first sequence rule is multiply by 3 starting from 5. The second sequence rule is add 9 starting from 18. What is the first number that appears in both sequences?
27
45
72
135
what is the answer
Considering the sequences given, the first number that appears in both sequences is given by: 45.
What numbers appear in the first sequence?The rule is multiply by 3 starting from 5, hence the numbers are:
(5, 15, 45, 135, ...).
What numbers appear in the second sequence?The rule is add 9 starting from 18, hence the numbers are:
(18, 27, 36, 45, ...).
45 is the first number that appeared in both sequences.
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find the value of p in parallelogram
Answer:
p = 11
Step-by-step explanation:
In a parallelogram BA and CD are parallel so you would set the problem up 7p = p +66
- p both sides
6p = 66
divide 6 both sides
p = 11
The diameter of ball bearings produced in a manufacturing process can be explained using a uniform distribution over the interval 3.5 to 4.75 millimeters. What is the probability that a randomly selected ball bearing has a diameter greater than 4.4 millimeters?
Answer:
The probability is 0.28
Step-by-step explanation:
Here, we want to calculate the probability that the ball bearing randomly selected has a diameter greater then 4.4 mm
I.e P(X> 4.4)
P(X>4.4) = (4.75-4.4)/(4.75-3.5) = 0.35/1.25 = 0.28
what is the correct answer for 20−(20×0.3)
what is the graph of f(x) = 5(2)^x
The graph of the function f(x) = 5(2)^x is an upward-sloping exponential curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing the x-axis.
The function f(x) = 5(2)^x represents exponential growth. Let's analyze its graph.
As x increases, the value of 2^x grows exponentially. Multiplying it by 5 further amplifies the growth. Here are a few key points to consider:
When x = 0, 2^0 = 1, so f(0) = 5(1) = 5. This is the y-intercept of the graph, meaning the function passes through the point (0, 5).
As x increases, 2^x grows rapidly. For positive values of x, the function will increase quickly. As x approaches positive infinity, 2^x grows without bound, resulting in the function also growing without bound.
For negative values of x, 2^x approaches zero. However, the function is multiplied by 5, so it will not reach zero. Instead, it will approach y = 0, but the graph will never touch or cross the x-axis.
The function is always positive since 2^x is positive for any value of x, and multiplying by 5 does not change the sign.
Based on these observations, we can conclude that the graph of f(x) = 5(2)^x will be an exponential growth curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing or touching the x-axis.
The graph will have a smooth curve that rises steeply as x increases. The rate of growth will be determined by the base, in this case, 2. The larger the base, the steeper the curve. The function will approach but never reach the x-axis as x approaches negative infinity.
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