Answer:
C.
Step-by-step explanation:
power to a power u multiply
What is the greatest common factor of 7, 4, and 39?
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
1 is the greatest common factor of 7, 4 and 39
Which expression is equivalent to
128x5y6
? Assume x > 0 and y> 0.
X/y/8
Y/x/8
8/x/y
8/x/y
Answer:
D
lmk if im wrong :)
The expression 8√y/x is equivalent to the given radical expression. The correct answer would be an option (D).
What are the radical expressions?Any expression that contains a radical symbol is considered a radical expression. To find the square roots, cubic roots, and higher, radical symbols are used. For example, √7, √6, and √11 are in the radial form.
The radical expression is given as:
√(128x⁵y⁶/2x⁷y⁵) (Assume x > 0 and y> 0)
Reduce the likewise variables,
√(64y/x²)
8√y/x
Thus, the expression 8√y/x is equivalent to the given radical expression.
Hence, the correct answer would be an option (D) 8√y/x.
Learn more about radical expressions here:
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The complete question is attached below.
Please help: Use the graph of the function f to decide whether the value of the given quantity exists. (If an answer does not exist, enter DNE.)
#a
f(-2) is a vertical asymptote Doesn't exist#b
lim_x->-2(f(x))=f(-2)Doesn't exist#c
(0,1) is presentExists#d
f(0) exists#e
Yes existsCheck there is a point over x=2#f
Same like f(2)
Exists#g
f(4) not in lineDoesn't existThe only option for which the limit exist is option f, while for the other options the DNE.
How to determine limit if a limit doesn't exists ?
"If the graph has a vertical asymptote and one side of the asymptote goes toward infinity and the other goes toward negative infinity, then the limit does not exist. If the graph has a hole at the x value c, then the two-sided limit does exist and will be the y-coordinate of the hole."
Let's check the values of the given quantity exist or not. Therefore, we can write,
(a) f(-2) = DNE
(b) [tex]\lim_{x \to \--2} f(x)[/tex] = DNE
(c) f(0) = DNE because hole are exist
(d) [tex]\lim_{x \to \-0} f(x)[/tex] = DNE
(e) f(2) = DNE
(f) [tex]\lim_{x \to \-2} f(x)[/tex] = 0.5 (exist)
(g) f(4) = DNE
(h) [tex]\lim_{X \to \-4} f(x)[/tex] = DNE
Hence, the only option for which the limit exist is option f.
Learn more about Limit Existence here:
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Solve the system.
x = y +2
3x = 6 (y + 2)
Answer:
(x , y)=(0 , -2)
Step-by-step explanation:
Hello everyone, I'm just having trouble on a question for my Calculus work. Does anyone know where to start with this problem? Any help would be greatly appreciated!
Answer:
sin(8w)/1024 -sin(4w)/128 +3w/128
Step-by-step explanation:
No doubt there are a variety of formulas and identities that can be used. Absent knowledge of those, I found it convenient to rewrite the integrand using Euler's formula. It tells you ...
[tex]\sin(x)=\dfrac{e^{ix}-e^{-ix}}{2i},\quad\cos(x)=\dfrac{e^{ix}+e^{-ix}}{2}[/tex]
After some only slightly messy algebra, we find ...
[tex]\cos^4(w)\sin^4(w)=\dfrac{\cos(8w)-4\cos(4w)+3}{128}[/tex]
Then the integral becomes straightforward:
[tex]\displaystyle \int{\cos^4(w)\sin^4(w)}\,dw=\int{\dfrac{\cos(8w)}{128}}\,dw-\int{\dfrac{\cos(4w)}{32}}\,dw+\dfrac{3}{128}\int{}\,dw\\\\=\boxed{\dfrac{\sin(8w)}{1024}-\dfrac{\sin(4w)}{128}+\dfrac{3w}{128}}[/tex]
__
Additional comment
The slightly messy algebra involves the identities ...
(a+b)(a-b) = a² -b²
(a -b)⁴ = a⁴ -4a³b +6a²b² -4ab³ +b⁴
Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
This means the given integrand is equivalent to
cos⁴(w) sin⁴(w) = (cos(w) sin(w))⁴ = (1/2 sin(2w))⁴ = 1/16 sin⁴(2w)
Also recall the half-angle identities for sine and cosine:
cos²(x) = 1/2 (1 + cos(2x))
sin²(x) = 1/2 (1 - cos(2x))
Then we can rewrite further as
1/16 sin⁴(2w) = 1/16 (sin²(2w))²
… = 1/16 (1/2 (1 - cos(4w)))²
… = 1/16 (1/4 (1 - 2 cos(4w) + cos²(4w))
… = 1/64 (1 - 2 cos(4w) + 1/2 (1 + cos(8w)))
… = 1/128 (3 - 4 cos(4w) + cos(8w))
You'll end up with the same solution as in the other answer:
[tex]\displaystyle \int \cos^4(w)\sin^4(w) \, dw = \frac1{128} \int (3 - 4\cos(4w) + \cos(8w)) \, dw \\\\ = \frac{3w-\sin(4w)+\frac18\sin(8w)}{128} + C \\\\ = \boxed{\frac{24w-8\sin(4w)+\sin(8w)}{1024} + C}[/tex]
Perimeter of rectangle floor is 80 feet. Find the dimention of the floor if the length is four times the width
Answer:
width = 8 ft & length = 32 ft.
Step-by-step explanation:
let the width be x and length be 4x.
we know, Perimeter = 2(l+b)
now,
2(4x + x) = 80
10x = 80
x = 80/10 = 8
x = 8
therefore,
width = x = 8 ft
length = 4x = 4 × 8 = 32 ft.
hope this helps you !
You rent an apartment that costs $900 per month during the first year, but the rent is set to go up $170 per year. What would be the monthly rent during the 10th year of living in the apartment?
The monthly rent of the apartment in the 10th year is $1041.67.
What is the monthly rent during the 10th year of living in the apartment?The first step is to determine the yearly rent in the first year of living in the apartment.
Yearly rent = $900 x 12 = $10,800
The second step is to determine the yearly rent in the 10th year
$10,800 + (170 x 10) = $12,500
The third step is to determine the monthly rent
Monthly rent = $12500 / 12 = $1041.67
To learn more about division, please check: https://brainly.com/question/13281206
Answer:
243
Step-by-step explanation:
Allison measured a line to be 19.4 inches long. If the actual length of the line is 19.1
inches, then what was the percent error of the measurement, to the nearest tenth of a
percent?
PLZ HELP ASAP
How are a parallelogram and a trapezoid different?
o
A. A trapezoid has only 1 pair of parallel sides, but a parallelogram has 2.
OB. A parallelogram has 4 right angles, but a trapezoid doesn't need to have 4 right angles.
OC. A parallelogram has only 1 pair of parallel sides, but a trapezoid has 2
O
D. A trapezoid has 4 right angles, but a parallelogram doesn't need to have 4 right angles.
7 of 13 Answered
View SL
Answer:
A
Step-by-step explanation:
big brain question :)
What is the area of this trapezoid?
Answer:
The area of the trapezoid is 40 ft
Step-by-step explanation:
11ft + 14ft + 15ft = 40 ft
*please help with my 1st question *
Simplify.
–(2x – 3y) + 5x + 2 – 3x + 3y + 2
A.
4
B.
4x + 4
C.
6y + 4
D.
4x + 6y + 4
Answer:
4x + 6y + 4
Step-by-step explanation:
–(2x – 3y) + 5x + 2 – 3x + 3y + 2
= -2x + 3y + 5x + 2 - 3x + 3y + 2
= -2x + 5x -3x + 3y + 3y + 2 + 2
= 0 + 6y + 4
= 6y + 4 (C)
Hope it helps ⚜
Answer:
D; 4x+6y+4
Step-by-step explanation:
1. Distribute the negative
2. -2×+3y+5x+2-3×+3y+2
2. combine like terms
answer; 4x+6y+4
Anyone can answer these questions . fast? see attachment
Answer:
x=3 and x=2
Step-by-step explanation:
More than twenty people came to a sticker exchange. Every person brought the same number of stickers. Every person brought more than one sticker. In all, there were 141 stickers at the exchange. How many people came to the exchange?
The amount of stickers bought in the sticker exchange is an illustration of factors
There were 47 people in the sticker exchange
How to determine the number of peopleThe number of stickers is given as:
Stickers = 141
Next, we list the factors of 141 in pairs
(x,y) = (1,141), (3,47), (47,3) and (141,1)
Each person bought more than 1 sticker.
So, we have:
(x,y) = (3,47) and (47,3)
Hence, we can conclude that there were 47 people in the sticker exchange
Read more about factors at:
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Your class sold cupcakes and brownies at a bake sale.you sold cupcakes for $1.50and brownies got $1.25.after selling 23items, you made $31.75.how many cupcakes did you sell?how many brownies?
Answer:
12 cupcakes were sold
11 brownies were sold
Step-by-step explanation:
Let c = number of cupcakes sold
Let b = number of brownies sold
Total number of items sold = 23
⇒ b + c = 23
cupcake = $1.50 each
brownie = $1.25 each
Total money made = $31.75
⇒ 1.5c + 1.25b = 31.75
Rewrite b + c = 23 to make b the subject, substitute into 1.5c + 1.25b = 31.75 and solve for c:
⇒ b = 23 - c
⇒ 1.5c + 1.25(23 - c) = 31.75
⇒ 1.5c + 28.75 - 1.25c = 31.75
⇒ 0.25c + 28.75 = 31.75
⇒ 0.25c = 3
⇒ c = 12
So 12 cupcakes were sold
Substitute found value for c into b + c = 23 and solve for b:
⇒ b + 12 = 23
⇒ b = 11
So 11 brownies were sold
The number of eggs in the refrigerator e decreased by 2 equals 14.
Enter an equation to represent the situation.
At her last practice, she made 70% of her shots from the free-throw line. If
she shot the ball 130 times
How many times did she make a free throw
Answer:
ahem...
the answer you are looking for is.....
91! :)
8x-2y = 18
y = 4x - 9
Solve by substitution
Answer:
Infinitely many solutionsStep-by-step explanation:
Given system:
8x - 2y = 18y = 4x - 9Solve by substitution:
8x - 2(4x - 9) = 188x - 8x + 18 = 1818 = 18We got correct equation without variables.
It means the equation is correct for any value of variables, the lines are same and overlap.
So there are infinitely many solutions.
Guys can anyone who knows about this explain i will mark brainliest no links. thanks! :)
Answer:
PS = 7
SQ = 7.125
m<QTR = 115
m<TQR = 32.5
Step-by-step explanation:
To find PS, you need to take the measurement from QR [stated in the problem] which is 7 feet.
To find SQ, you need to take the measurement from RT [stated in the problem as 3 9/16] and then multiply it by 2 as SQ is 2 times longer than RT, which means SQ = 7 1/8 or 7.125 [since it needs to be a decimal]
To find m<QTR, you need to take the measurement from m<RTS, and since those 2 angles together equal 180, you need to subtract 65 degrees [from m<RTS] from 180, resulting in 115 degrees.
To find m<TQR, you need to know that a triangle has 180 degrees within it. Then you need to find one angle. We know the wider angle, <T = 115 degrees, so then we have to do 180 - 115, which equals 65 [that is the total for the 2 remaining equal corners], then we just have to divide by 2, which equals 32.5 degrees.
PLEASE, I NEED HELP. QUESTION WORTH 100 POINTS. FIND X
Answer:
70
Step-by-step explanation:
The angle at the bottom right of the triangle is linear with the 105, so it is 180 - 105 = 75
The top angle of the triangle is an alternate interior angle with the 35 degrees, so it is also 35.
75 + 35 = 110
x = 180 - 110 = 70
The angle above x is 35° as alternate interior angles are equal.
Angle aside right to x
180-10575°Measure of x
180-(75+35)180-11070°Khan academy
The graph of the invertible function g is shown on the grid below. What is the value of g^− 1 ( 1 )
By using the graph and the definition of inverse functions, we will see that:
g⁻¹(1) = 4.
What are inverse functions?
We say that two functions f(x) and g(x) are inverse if:
f(g(x)) = xg(f(x)) = x.Now, we know that graph of g(x) and we want to find the value of:
g⁻¹(1)
In the graph, we can see that:
g(4) = 1
Then we can replace it:
g⁻¹(1) = g⁻¹( g(4) ) = 4.
So we can conclude that:
g⁻¹(1) = 4.
If you want to learn more about inverse functions, you can read:
https://brainly.com/question/12220962
Answer:
-4
Step-by-step explanation:
Khan Academy
please answer I will give brainliest
Answer: 153.86 cm²
Ok done. Thank to me :>
Water is flowing into the tank at a rate of 5 litres per minute. At the same time water flows out of the tank at a rate of k litres per minute. The volume (in litres) of water in the tank at time t (in minutes) is given by the formula V(t) = 100-4t. What is initial volume of water in the tank?
Answer:
100 heavy on the way the calculations and the way solution of equipment and the questions
V(t)=100-4t so at the beginning of the experiment t=0
so you substitute to the given formula
V(0)=100-4(0)
=100litres .
I need Help ASAP I will give you brainlest and plus 5 stars ✨✨and plus thanks and 50 points EVeryONe need help this is due today so plz help me I need to turn it in today so plz help I will give everything if you do
Answer:
see step-by-step below
Step-by-step explanation:
1) y - 2 > 3
Add 2 to both sides: y > 5
2) y ≤ 2
Draw a closed circle at y = 2 then shade the numbers to the left
3) y ≥ 250
where y = savings
4) The image isn't very clear, so I can't tell if it's a closed or open circle on -4.
If it is closed, it will be y ≤ -4
If it is open, it will be y < -4
5) -4 < f
Draw an open circle at f = -4 then shade the numbers to the right
6) x < -3.5
Draw an open circle at x = -3.5 then shade the numbers to the left
7) closed circle ... shade to the left of 8 ... make y equal to or less than 8.
8) F ≤ 6
C - closed circle at 6 with shaded numbers to the left
9) y > 2.75
Betty saved more than $2.75 every month
10) 1 + x < 5
Subtract 1 from both sides: x < 4
11) x ≥ -2.5
12) 1 ≤ m means that m is equal to or greater than 1
solutions: 4, 1, 2.3
pls help me
Lena wants to rent a boat and spend at most $91. The boat costs $8 per hour, and Lena has a discount coupon for $5 off. What are the possible numbers of hours Lena could rent the boat? Use t for the number of hours. Write your answer as an inequality solved for t.
Answer:
8t - 5 ≤ 91
8t ≤ 96
t ≤ 12
Christine can spend up to 12 hours in the boat.
ASSIGNMENT Question
A steel tape of nominal length \( 30 m \) was use d to measure a line AB by suspending it between supports. The following measurements were recorded Line. AB length measured 29.872 Slope angle 3.67° Mean temperature 5° Tension applied 120N The standardized length of the tape against reference tape was known to be 30.14m at 20°and 50.. if the tape weight 0.17Nm–¹ and has a cross sectional area of 2mm¹.. calculate the horizontal length of AB..young's modulus(E) for the tape 200knmm–² and the coefficient of thermal expansion (a) is 0.0000112 per °C
Step-by-step explanation:
That depends on the tension on the tape.
As defined, the tape, due to gravity would form a catenary, a curve, so the measurement would be less than 30 m. The tension on the tape would affect the degree to which the measurement would be less. A tension well within the limits of the steel used to make the tape would be would be well within the accuracy of the tape. Over 30 m, the tape is likely +/- 2 mm, the recorded value could be 30m, +1mm/-3mm. If you need more than that degree of accuracy, you don’t use a tape.
Graph the data.
Find and interpret the slope of the line through the points.
Answer:
-see link below for graph
-slope- 6/270
Step-by-step explanation:
link in comments
Solve the problem.
Two cars leave a city and head in the same direction. After 5 hours, the faster car is 40 miles ahead
of the slower car. The slower car has traveled 275 miles. Find the speeds of the two cars.
(A) 55 mph and 63 mph
B) 80 mph and 88 mph
C 57 mph and 65 mph
D) 47 mph and 55 mph
Answer:
A
Step-by-step explanation:
Let x = speed of the faster car, y = speed of the slower car
after t = 5 hours, distance of slower car = 275 = 5 * y, so y = 275/5 = 55 mph
distance of faster car = 275 + 40 = 315 miles
then x = 315/5 = 63 mph
Answer: A
The area of a rectangle is
5x+40ft. Factor 5X +40 feet to find the area
[tex]5x+40 = 5(x+8)[/tex]
If (-2, 3), (4, -3) and (4, 5) are the mid-points of the sides of a triangle, find the co-ordinates of its centroid
Answer:
[tex]G=(2,\frac{5}{3} ).[/tex]
Step-by-step explanation:
Let the given vertices of a triangle be [tex]A(-2,3)[/tex]and [tex]B (4,-3)[/tex] let the third vertex be[tex]C (4,5)[/tex].
Let Centroid be G = [tex][\frac{x_{1} +x_{2}+x_{3} }{3} , \frac{y_{1}+y_{2}+y_{3} }{3} ][/tex]
⇒ [tex]G=(\frac{-2+4+4}{3} ,\frac{3-3+5}{3})[/tex]
⇒ [tex]G=(\frac{6}{3} ,\frac{5}{3} )\\[/tex]
⇒ [tex]G=(2,\frac{5}{3} ).[/tex]
100 points and brainly if correct. Jackson made a drawing for his residence including a villa and a garden, as in the given figure. Using the scale drawing, what is the perimeter of the villa in real life?
Perimeter
[tex]\\ \tt\hookrightarrow 2(L+B)[/tex]
[tex]\\ \tt\hookrightarrow 2(6+4)[/tex]
[tex]\\ \tt\hookrightarrow 2(10)[/tex]
[tex]\\ \tt\hookrightarrow 20cm[/tex]
Scale 1cm=3m
Perimeter=20(3)=60mAnswer:
60 m
Step-by-step explanation:
Perimeter of a rectangle = 2 x width + 2 x length
From inspection of the diagram, the width of the villa is 4 cm and the length is 6 cm
Therefore, perimeter of the villa = (2 x 4) + (2 x 6) = 20 cm
We are told that there is a scale 1 cm : 3 m
This means that 1 cm = 3 m
Therefore, to convert the perimeter found in cm into meters, we need to multiply it by 3:
Perimeter = 20 x 3 = 60 m