The sum of two numbers is 3, and their quotient is 2. What are the two numbers?
Answer:
The answer is 2 and 1
Step-by-step explanation:
Sum means to add, so you are looking for two numbers that add up to equal 3.
2+1=3
Quotient means to divide, So secondly you would for two numbers that when divided equals 2
2 divided by 1 =2
hope this helps mark brainliest please :)
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.
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.
Which best defines a compare and contrast text structure? Compare and contrast texts demonstrate the similarities and differences between two or more topics. Compare and contrast texts explain why things happen in terms of reasons and results. Compare and contrast texts outline a process or series of events in a time order from beginning to end. Compare and contrast texts outline different steps of a procedure in an ordered sequence.
Answer:
A) Compare and contrast texts demonstrate the similarities and differences between two or more topics
Step-by-step explanation:
Compare and Contrast is a text structure (or pattern of organization) where the similarities and differences of two or more things is discussed/explored.
Please answer!
Today, everything at a store is on sale. The store offers a 20% discount.
The discount price of a hat is $20. What is the regular price?
Answer:
$25
Step-by-step explanation:
$20 = 80%
100% to 80% = x 0.8 ( you have to do inverse)
$20/ 0.8 = $25
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
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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Use the FOIL method to find the product.
(s + 10)(s - 8)
Answer:
s²+2s-80
Step-by-step explanation:
First (first in each parentheses)
Outside (the two terms on the outside of the expression)
Inside (the two terms in the inside of the expression)
Last (last in each parentheses)
An example:
(a+b)(c+d)=ac+ad+bc+bd
Therefore...
(s+10)(s-8)=(s)(s)+(s)(-8)+(10)(s)+(10)(-8)=s²-8s+10s-80=s²+2s-80
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°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:
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 :)
Anyone can answer these questions . fast? see attachment
Answer:
x=3 and x=2
Step-by-step explanation:
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.
Find the area and perimeter thank you math experts have a wonderful day
All below;
Step-by-step explanation:For the left shape;Green question mark = 10
50 (longer opposite side) - 40 = 10
Red question mark = 20
30 (longer opposite side) - 10 = 20
Perimeter = 160
30 + 50 + 10 + 40 + 20 + 10 = 160
Area = 700
30 * 50 = 1500; (Total area if it were fully a rectangle)
40 * 20 = 800; (Chunk of rectangle that is missing)
1500 - 800 = 700 (Total area - missing space)
For the right shape;Green question mark = 14
Opposite of the other side
Red question mark = 20
35 (longer opposite side) - 15 = 20
Perimeter = 152
35 + 22 + 20 + 14 + 10 + 14 + 15 + 22 = 152
Area = 630
35 * 22 = 770; (Total area if it were fully a rectangle)
14 * 10 = 140; (Chunk of rectangle that is missing)
770 - 140 = 630 (Total area - missing space)
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 .
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 !
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! :)
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
A triangle has a 60 degree angle, and the two adjacent sides are 12 and 12 times the square root of 3. Find the radius of a circle with the same vertex as a center, if the arc inside the triangle divides it into two regions of equal area.
Please somebody ?
Correct answer gets BRAINLIEST !
The radius of the circle is a line from the center of the circle to its circumference
The radius of the circle with the same vertex as a center is 10.16 units
How to determine the radiusFrom the question, we understand that:
The adjacent sides of the triangle are 12 and [tex]12\sqrt 3[/tex]The triangle has an angle of 60 degreesStart by calculating the area of the triangle using:
[tex]Area = 0.5ab\sin C[/tex]
So, we have:
[tex]Area = 0.5 * 12 * 12\sqrt 3 *\sin (60)[/tex]
This gives
[tex]Area = 0.5 * 12 * 12\sqrt 3 * \frac{\sqrt 3}{2}[/tex]
[tex]Area = 108[/tex]
The arc divides the triangle into two equal regions.
So, the area of the arc is:
[tex]Arc = 0.5 * Area = 0.5 * 108[/tex]
[tex]Arc = 54[/tex]
Also, the area of the arc is:
[tex]Arc = \frac{\theta}{360} * \pi r^2[/tex]
So, we have:
[tex]Arc = \frac{60}{360} *3.14 * r^2[/tex]
Simplify
[tex]Arc = 0.523 * r^2[/tex]
This gives
[tex]0.523 * r^2 = 54[/tex]
Divide both sides by 0.523
[tex]r^2 = 103.25[/tex]
Take the square roots of both sides
[tex]r = 10.16[/tex]
Hence, the radius of the circle with the same vertex as a center is 10.16 units
Read more about circumcised triangles at:
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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
When u need 20 characters or more
The women in the house across the street from the girl in the window
Answer:
what? I don't understand what your trying to say
Solve the system.
x = y +2
3x = 6 (y + 2)
Answer:
(x , y)=(0 , -2)
Step-by-step explanation:
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 area of a rectangle is
5x+40ft. Factor 5X +40 feet to find the area
[tex]5x+40 = 5(x+8)[/tex]
Question 2
2.1
A car travels for 1 hour 30 minutes and covers a distance of 150 km. How
long (In hours and minutes) will it take the car to cover a distance of 260 km
at the same average speed?
Answer :
2 hours 36 minutes
Step-by-step explanation :
speed = distance / time
Distance = 150 km
time = 1 hour 30 minutes
= 1,5 hours
[tex]speed = \frac{150 \: km}{1.5 \: hours} [/tex]
[tex] speed = 100 \: km/hour[/tex]
Answer :How long will it take the car to cover a distance of 260 km at the same average speed ?
Time = Distance/Speed
= 260 km / 100 km/hour
= 2,6 hours
____________________
to convert hours to hours and minutes we can multiply by 60.
2, 6 hours
2 hours and 0,6 hours
0,6 = 3/5
3/5 × 60
60 ÷ 5 × 3
36 minutes
2,6 hours = 2 hours 36 minutes
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
Brittany has $900 in a savings account that earns 10% annually. The interest is not compounded. How much interest will she earn in 1 year?
Answer:
90$
Step-by-step explanation:
You multiply the number by 0.10 for your answer.
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$900\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (900)(0.10)(1)\implies I=90[/tex]
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 *
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]