The equation which equivalent to given expression − 3 ( x − 6 ) + 12 x − ( 8 x + 3 ) is
x+15( 12 x − 11 x ) + ( 18 − 3 )The Correct option is (C) and (E)
What is Linear equation in one variable?
A linear equation is an equation of a straight line, written in one variable. The only power of the variable is 1. Linear equations in one variable may take the form ax+ b = 0.
The given equation is:− 3 ( x − 6 ) + 12 x − ( 8 x + 3 ) .
= -3x+18 + 12 x -8x-3
=x +15
The corresponding equation to the above equation is:
C. x+15
D. (12 x - 11x) + (3-18)
= x-15
E. (12 x - 11x) + (18-3)
= x+15
F. (12 x - 11x) + (-6+3)
= x-3
As from the above it can be seen that the equation which equivalent to given expression − 3 ( x − 6 ) + 12 x − ( 8 x + 3 ) . is
x+15( 12 x − 11 x ) + ( 18 − 3 )Learn more about linear equation in one variable here:
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A function and its inverse are shown on the graph. Which statement describes the relationship between the function and its inverse? The range of both f(x) and f–1(x) is all real numbers. The domain of both f(x) and f–1(x) is all real numbers. The range of f(x) is y > 0 and the domain of f–1(x) is x > 0. The domain of f(x) is x > 0 and the range of f–1(x) is y > 0.
Answer:
Option (C)
Step-by-step explanation:
Domain of function is defined by the set of x-values (input values) and Range of a function is a set of y-values (output values).
From the graph attached,
Domain of f(x) → Set of all real numbers
Range of f(x) → y-values > 0
Domain of [tex]y > 0[/tex] → Set of all real numbers
Range of [tex]y > 0[/tex] → y < 2
Therefore, domain of both the functions is a set of all real numbers.
Option (C) is the correct option.
Answer:
Its c
Step-by-step explanation:
I just did the test on edge
Please solve eedfefsre3dfve
Answer:
[tex]t_n=n[/tex]
Step-by-step explanation:
Arithmetic sequence
General form of an arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
where:
[tex]a_n[/tex] is the nth terma is the first termd is the common difference between termsGiven sequence: 1, 2, 3, 4, 5, ...
Therefore:
a = 1d = 1[tex]a_n=t_n[/tex]Substituting the given values into the formula:
[tex]\implies t_n=1+(n-1)1[/tex]
[tex]\implies t_n=1+n-1[/tex]
[tex]\implies t_n=n[/tex]
Therefore, [tex]t_n=n[/tex]
The point P=\left(-1/7, y) lies on the unit circle shown below. What is the value of y in its simplest form?
Step-by-step explanation:
The unit circle is a circle in the form of
[tex] {x}^{2} + {y}^{2} = 1[/tex]
while x = cos t
y= sin t
, where t is an angle
So we plug in -1/7, for x to find y
[tex]( \frac{ - 1}{7} ) {}^{2} + {y}^{2} = 1[/tex]
[tex] {y}^{2} = \frac{49}{49} - \frac{1}{49} [/tex]
[tex]y = \frac{4 \sqrt{3} }{7} [/tex]
If the point is in the 2nd quadrant, your value of y is positive
If it in the third quadrant, the y value is negative
5/8 ÷ 3/4
I Need help?
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Answer: 5/6
Step-by-step explanation:
5/8 / 3/4
5/8 * 4/3= 20/24
20/24 / 4/4 = 5/6
The expression's 30^2-150x-60 and (5x-20)(6x+3) define the same function, f.
a. Which expression make it easier to find f(0)? Explain your reasoning
b.find f(0)
Answer:
[tex]30x^{2} -105x+60[/tex]
Step-by-step explanation:
I just solved it.
(5x-20)(6x+3)
5x•6x=30x^2
5x•3=15x
-20•6x=-120x
-20•3=-60
Pls give Brainliest.
Ms. Duran kept track of her personal
finances yesterday using dollar amounts
written on the index cards shown below.
The amount of dollars that Ms. Duran would have at the end of the day if she started the day with $0 is 665 dollars.
What is the balance at the end of the day?The value of the account will increase when she receives her pay check and wine the lotto earnings. The value of the account would decrease when she pay for gasoline, groceries and phone bill.
Balance = 895 - 95 - 129 - 84 + 78 = 665 dollars
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Anthony has a sink that is shaped like a half-sphere. The sink has a volume of 3000
in3
. One day, his sink
3
clogged. He has to use one of two cylindrical cups to scoop the water out of the sink. The sink is completely
full when Anthony begins scooping.
(a) One cup has a diameter of 5 in. and a height of 6 in. How many cups of water must Anthony scoop
out of the sink with this cup to empty it? Round the number of scoops to the nearest whole
number. Show all your work.
(b) One cup has a diameter of 6 in. and a height of 6 in. How many cups of water must he scoop out of
the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
PLEASE HELP
worth 20 points.
Answer:
a) 80
b) 56
Step-by-step explanation:
a) Calculate the volume of the the cup using volume of cylinder equation: [tex]V = \pi r^{2} h[/tex]
Where V = Volume, r=radius, and h=height. Your answer should be in cubic inches ([tex]in^3[/tex]).
You're given diameter, so use equation [tex]d/2 = r[/tex] to find radius.
Substituting these equations will give you: [tex]V = \pi (d/2)^2 h[/tex]
However, the given volume of the sink is 3000[tex]\pi[/tex], meaning that you should modify your results to match this value. Do not substitute [tex]\pi[/tex] for 3.14..., leave it as a symbolic value. Your final V of the cup should = 37.5 [tex]\pi[/tex]
Divide the volume of the sink by the volume of the cup. This number will be the amount of cups needed to empty it. In equation form:
[tex]Vsink / V cup =[/tex] # of cups.
Note the the [tex]\pi[/tex] will cancel each other out, so there's not need to factor that in.
b) Repeat the steps above with the new d (diameter) value.
Answer:
a) 117.75
Step-by-step explanation:
3.14 * 2.5^2=19.625
19.625*6=117.75
Ian Zander earns extra money by refinishing wood floors. His charge is based on the size and condition of the floor. Last month, he refinished 6 floors for $140 each, 2 floors for $220 each and 1 floor for $178. What average amount per floor did he earn for the month?
Answer:
Average per floor = 162 dollars.
Step-by-step explanation:
Remark
First find the number of floors
Then make a total income received from those floors.
Then divide the total income by the number of floors, to get the average
Number of floors
Total number of floors = 6 + 2 + 1 = 9 floors
Total income
Total income = cost per floor * the number of floors.
Total income
6 * 140 = 840
2 * 220 = 440
1 * 178 = 178
Total = 1458
Average income / Floor
Average income / Floor = Total amount / number of floors
Average Income / Floor = 1458 / 9 = 162
Y=-2X, Y=5X+3 how do I solve this equation using substitution or elimination
Answer:
y= -2x........eqn i
y=5x+3......eqn ii
substituting the value of Y from eqn i in eqn ii, we get,
-2x=5x+3
-7x=3
x= -3/7
so, y= -2x= -2× (-3/7)
so, y= 6/7
Which of the following is an example of an exponential function?
f(x) = 4x^3 + 2x^2 – 3x + 9
g(x) = log2(x)^3
h of x equals the quantity x squared plus 2x minus 7 end quantity divided by the quantity x plus 1
p(x) = 500(1.02)^x
Answer:
p(x) = 500(1.02)^x
Step-by-step explanation:
I took the test and got a 100.
The exponential function is p(x) = 500(1.02)×, option (D) is correct.
What is an exponential function?It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent [tex]y = a^x[/tex]
where a is a constant and a>1
We have the functions given in the options:
As we know the standard form of the exponential function is:
f(x) = a(b)×
The exponential function will increase or decrease exponentially.
From the option:
p(x) = 500(1.02)×
p(x) is an exponential function.
Thus, the exponential function is p(x) = 500(1.02)×, option (D) is correct.
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Maria hiked 2 miles in 1.5 hours how long will it take her to hike 6 miles
Answer:
4.5 hours
Step-by-step explanation:
If 2 miles takes 1.5 hours, then 6 miles will be 4.5 hours.
2 miles = 1.5 hours
6 times 1.5 = 4.5
Therefore, 6 miles will take 4.5 hours.
Answer:
4.5 Hours
Step-by-step explanation:
2/1.5=6/ x
Cross multiply
2x=1.5*6
2x=9
x=4.5
ayudenme porfavor es para mañana
Hello..!
If you say that the value of x is an integer then the number when divided by 3 which is "3x" will result in an integer:
[tex]{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf40 \div 3 = 13.33}}[/tex]
Option A) does NOT return an integer so it is not the answer.
[tex]{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf41 \div 3 = 13.66}}[/tex]
Option B) is also not the answer.
[tex]{\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf42 \div 3 = 14}}[/tex]
Option C) does result in an integer but let's see the others:
[tex]{\: \: \: \: \: \: \: \: \: \: \: \: \: \: { \sf{43 \div 3 = 14.33}}}[/tex]
Option D) also does not return an integer.
[tex]{\: \: \: \: \: \: \: \: \: \: \: \: \: \sf{44 \div 3 = 14.66}}[/tex]
And lastly option E) does not result in an integer so the only one that results in an integer is option C) and that is the 42nd answer.
[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf{\sf \orange\longmapsto{ \red{C) \: \green{42°} }}}[/tex]
So, the correct part is C)42°
Answer:
The result is
C) 42°Hope this helped
can i find the area of a parrallelogram without the height?
Answer:
yes
Step-by-step explanation:
you have to use trigonometry to find the area of a parallelogram without the height.
the formula is: Area = ab(sin(x))
Where a and b are the length of parallel sides and x is the angle between the sides of the parallelogram.
Which is NOT an optional supplemental material to enhance your writing?
A. graphs or charts
B. photographs
C. blog posts
D. headings and subheadings
Answer:
B. photographs
Step-by-step explanation:
14. Joe just purchased an oddly shaped piece of property, depicted in the figure below. 10 yds 13 yds I 12 yds 15 yds 24 yds What is the area, in square yards, of Joe's new property?
The Area of Piece of Land is = 150 +[tex]24\sqrt{11}[/tex] squared yards
What is Area of Trapezium?The area of a trapezium can be calculated using the lengths of two of its parallel sides and the distance (height) between them.
As the yard is in shape of Trapezium.
We have to find the area of trapezium.
Area of piece of property = Area of Triangle + Area of rectangle + Area of Triangle
Area of Triangle I,
base = [tex]\sqrt{(13)^{2}{-(12)^{2}}[/tex] = [tex]\sqrt{169-144}[/tex]= 5yds
Area = [tex]\frac{1}{2}*b*h[/tex]
=0.5 x 5 x 12
= 30 squared yds
Area of rectangle = length x breadth
= 10 x 12
= 120 squared yds
Area if Triangle II, base = [tex]\sqrt{(15)^{2}{-(7)^{2}}[/tex]= [tex]\sqrt{225-49}[/tex]= [tex]4\sqrt{11}[/tex]
Area= [tex]\frac{1}{2}*b*h[/tex]
=0.5 x [tex]4\sqrt{11}[/tex] x 12
= [tex]24\sqrt{11}[/tex] squared yds
Area of piece of land = 30 + 120 + [tex]24\sqrt{11}[/tex]
= 150 +[tex]24\sqrt{11}[/tex] squared yards
Hence, the area of piece of land= 150 +[tex]24\sqrt{11}[/tex] squared yards
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The square of a number is 3 less than four times the number. Which values could be the number?
(More than one answer)
a. 3
b. 0
c. 1
d. -3
e. -1
Answer:
A and C.
Step-by-step explanation:
We are given that: "The square of a number (which we can call x) is three less than four times the number."
In other words:
[tex]\displaystyle x^2 = 4x - 3[/tex]
Hence solve for x by isolating the equation and factoring:
[tex]\displaystyle \begin{aligned} x^2 - 4x + 3 & = 0 \\ \\ (x-1)(x-3) & = 0 \\ \\ x & = 1 \text{ or } x = 3 \end{aligned}[/tex]
In conclusion, our answers are A and C.
How do I find both answer for this question??
Answer:
(a) 46°
(b) 86°
Step-by-step explanation:
When the secants cross externally (figure a), the angle where they cross is half the difference of the subtended arcs.
When they cross internally (figure b), the angle is half the sum of the subtended arcs.
__
(a)Half the difference of arcs VW and VX is ...
∠VYW = 1/2(160° -68°) = 46°
m∠VYW = 46°
__
(b)Half the sum of arcs AB and CD is ...
∠CED = 1/2(arc AB +arc CD)
2×∠CED = arc AB +arc CD . . . . . multiply by 2
2×∠CED -arc AB = arc CD . . . . . subtract arc AB
arc CD = 2×85° -84° = 86°
m arc CD = 86°
what is 2 3/4 dived by 3
Answer:
0.91666666666 hope this helps
just literally divide
When Jenny started her shift at the ice cream shop the tub of chocolate was 2/3 full. When she finished her shift 6 1/2 hrs later there is only 1/6 tub left. What was the average hourly change in fullness
Answer:
6 1/2=5??
Step-by-step explanation:
so try 5-1/6 and divide by the 5 (if u get no answer pls dont be so quick to put i am still checking)
please helpp me with this
Answer:
585 m^2.
Step-by-step explanation:
Surface area = area of base + 4 * area of a triangular side
= 13^2 + 4 * 1/2 * 13 * 16
= 169 + 26 * 16
= 585
Answer:
585 m²
Step-by-step explanation:
The surface area of the given pyramid is made up of 4 congruent triangles and a square base.
Area of a triangle = 1/2 × base × height
= 1/2 × 13 × 16
= 104 m²
Area of a square = (base edge)²
= 13²
= 169 m²
Total Surface Area = area of 4 triangles + area of base square
= (4 × 104) + 169
= 416 + 169
= 585 m²
In an orchard, there are 16 apple trees, 22 orange trees, and a cherry tree. What is the ratio of apple trees to orange trees? OA. 1:22 OB 22:16 OC. 16:22 OD. 38:22
Answer:
C. 16 : 22
Step-by-step explanation:
Given:
Apple trees = 16Orange trees = 22Cherry trees = 1Ratio of apples trees to orange trees:
⇒ apple : orange
⇒ 16 : 22
What is the area of the regular polygon shown below?
A sphere is properly defined as a ball
Answer:
Yes
Step-by-step explanation:
Some examples:
1. Bowling balls
2. Basketball balls
3. Volleyball balls
4. Tennis balls
The half-life of carbon-14 is 5,730 years. Dating organic material by looking for C-14 can't be accurately done after 50,000 years.
Suppose a fossilized tree branch originally contained 4.30 grams of C-14. How much 14 would be left after 50,000 years?
Use the formula N= No
A tree branch that originally had 4.3 grams of carbon-14 will have
grams after 50,000 years.
Answer:
0.0102 g
Step-by-step explanation: A common formula for determining the amount of sample remaining in terms of its half-life is
where
t = 50 000 yr
Calculate n
n = 50 000/5730
n = 8.726
N₀ = 4.30 g Calculate N
N = 4.30 × 2.36 × 10⁻³
N₀ = 0.0102 g please mark me brainliest
Answer:
0.0102 g
Step-by-step explanation:
You want to know the amount of C-14 remaining in a tree branch after 50,000 years if it originally had 4.30 grams, and C-14 has a half-life of 5730 years.
Amount remainingThe number of grams (N) remaining is given by the formula ...
N = N₀(1/2)^(t/5370)
where t is the number of years and N₀ is the initial amount of C-14.
ApplicationThe amount of C-14 remaining in the tree branch will be ...
N = 4.30×(1/2)^(50000/5730) ≈ 0.010154 . . . . grams
RoundingThis can be rounded several ways, depending on the criterion you choose.
The initial value 4.30 has 3 significant figures, so this could be rounded to 3 significant figures as 0.0102 g. This is the value we show at the top of this answer.
The initial value is accurate to a hundredth of a gram, so this could be rounded to a hundredth of a gram as 0.01 g.
The value 50,000 years has 1 significant digit, so we could round this to 1 significant digit as 0.01 g.
__
Additional comment
The problem statement gives the initial amount twice, once with 3 significant figures, and once with only 2 significant figures. If the answer is rounded to 2 significant figures, it would be 0.010 g.
There does not appear to be any justification for an answer of 0.0100 grams.
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The perimeter of rectangle is 48ft the length is 16 from. Whats is the area?
Answer:
128
Step-by-step explanation:
There are 2 lengths, 16 x 2 = 32. 48 - 32 = 16. 16 divded by 2 equals 8. 8 x 16 = 128.
Find the initial value for g(x)=.8(1.32)^x
Answer:
8
Step-by-step explanation:
I hope this helps! If it does, please mark me Brainliest! Thanks in advance!
Brainliest to the correct answer, but answer ASAP
ONLY answer if you are 100% sure so don't say "I think" or "It might be"
Answer:
153.86 ft squared
Step-by-step explanation:
A = πr^2
A = 3.14(7)^2
A = 3.14*49
A = 153.86
Hope this helps, good luck on the test!
What is the surface area, in square inches, of the square pyramid?
Answer:
261 in²
Step-by-step explanation:
The surface area of a square pyramid can be found from the formula ...
A = s(s +2h)
where s is the side length of the base and h is the slant height of a face.
__
For s = 9 in, and h = 10 in, the surface area is ...
A = (9 in)(9 in +2×10 in) = (9·29) in² = 261 in²
The surface area of the square pyramid is 261 square inches.
Use the quadratic formula to solve the equation.
y^2 + 7 = 6y
If you deposit $25,000 now at 6.5% compounded quarterly, how much will you have in 30 years?
Answer:
$172,984.44
Step-by-step explanation:
We can use the formula
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex] to compute the final amount
Here P is the principal amount, the original deposit = $25,000
r is the annual interest rate = 6.5% = 0.065 in decimal
n is the number of times the compounding takes place. Here it is quarterly so it is 4 times a year
t is the number of time periods ie 30 years
A is the accrued amount ie principal + interest
Computing different components,
[tex]nt = 4 \times 30 = 120[/tex]
[tex]r/n = 0.065/4 = .01625[/tex]
[tex]1 + r/n = 1.01625[/tex]
[tex](1 + r/n)^{nt} = 1.01625^{120}[/tex]
Therefore
[tex]A = 25000 \times 1.0625^{120} = 172,984.44[/tex]
Answer:
You will have $172,984.44
