Answer:
Ratio of apple to banana is 2:1
Step-by-step explanation:
To find ratio of x type of one thing and y type of other thing we divide
x by y and ratio is written as
ratio = x:y
_________________________________
Number of banana = 2
Number of apples = 4
Ratio of apple to banana = Number of apples :Number of banana
Ratio of apple to banana = 4:2
since 4 is divisible by 2 , to get the ratio in simplest form
we divide both numerator and denominator by 2
Ratio of apple to banana = 4/2:2 /2 = 2:1
Thus,
Ratio of apple to banana is 2:1
The power generated by an electrical circuit (in watts) as a function of its current x xx (in amperes) is modeled by P ( x ) = − 15 x ( x − 8 ) P(x)=−15x(x−8)P, left parenthesis, x, right parenthesis, equals, minus, 15, x, left parenthesis, x, minus, 8, right parenthesis What current will produce the maximum power?
Given:
The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by
[tex]P(x)=-15x(x-8)[/tex]
To find:
The current which will produce the maximum power.
Solution:
We have,
[tex]P(x)=-15x(x-8)[/tex]
[tex]P(x)=-15x^2+120x[/tex]
Differentiate with respect to x.
[tex]P'(x)=-15(2x)+120(1)[/tex]
[tex]P'(x)=-30x+120[/tex] ...(i)
To find the extreme point equate P'(x)=0.
[tex]-30x+120=0[/tex]
[tex]-30x=-120[/tex]
Divide both sides by -30.
[tex]x=4[/tex]
Differentiate (i) with respect to x.
[tex]P'(x)=-30(1)+(0)[/tex]
[tex]P'(x)=-30<0[/tex] (Maximum)
It means, the given function is maximum at x=4.
Therefore, the current of 4 amperes will produce the maximum power.
Answer:
its 4 amperes
Step-by-step explanation:
khan said so
which is the following solution to
x-13<18
Answer:
X < 31
Step-by-step explanation:
Answer: X<31
Hope this helps!
Point I is on line segment HJ. Given IJ=4 and HI=8 determine the length HJ
Pleaseeee help
Answer: 12
Step-by-step explanation:
a number multiplied by 5 and increased by 7 the result is 62
Answer:11
Step-by-step explanation: subtract 7 from 62, which give you 55, divide by 5 which gives you 11.
Answer:
Step-by-step explanation:
5X+7=62
5X=55
X=11
find the cube of 2.9
[tex] {2.9}^{3} \\ 2.9 \times 2.9 \times 2.9 \\ 8.41 \times 2.9 \\ 24.389[/tex]
Answer:The cube of [tex]2.9[/tex] is [tex]24.389[/tex].
Suppose there is a 1.7f drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 49.9f what will be the temperature when the plane reaches am altitude of 4,000ft?? The temperature will be_____F (type an integer or a decimal)
Answer:
[tex]43.1 ^{\circ}F[/tex]
Step-by-step explanation:
Give that for every 1000 feet increase in the height there is a drop of [tex]1.7 ^{\circ}F[/tex] in temperature.
So, the rate of temperature drop with respect to height, R = 1.7/1000 [tex]^{\circ}F/\text{ft}[/tex].
If the change in height is [tex]\Deltah[/tex][tex]\Delta h[/tex] feet, the temperature drop,
[tex]\Delta T= \Delta h R \;^{\circ}F\cdots(i)[/tex]
The temperature on the ground is 49.9 [tex]^{\circ}F[/tex].
At the ground, the height is 0, so the change in height, \Delta h when the plane reaches an altitude of 4,000 feet, is
\Delta h =4000-0=4000 feet
Now, from equation (i), the temperature drop
[tex]\Delta T= 4000 \times \frac {1.7}{1000}=6.8\;^{\circ}F.[/tex]
Hence, the temperature at an altitude of 4000 feet [tex]= 49.9-6.8=43.1 \;^{\circ}F[/tex].
question in picture.
Answer:
4,3,0.5 youre welcome, good Luckk : )
The circle shown has a radius of 12 mm. What is the circumference of the circle?
Answer:
75.36
Step-by-step explanation:
First you would use the formula [tex]C=2\pi r[/tex] and the fill in your values, 2·3.14·12 and you will get 75.36.
Can you please help me? It’s timed!!
Answer:
[tex]0.75[/tex] (D)
Step-by-step explanation:
tanA = [tex]\frac{6}{8}[/tex]
tanA = [tex]0.75[/tex]
Solve for n.
n+ 1 = 4(n-8)
0 n = 1
O n = 8
0 n = 11
n = 16
?
Answer:
0 n=11
Step-by-step explanation:
1. Distribute
+1=4(−8)
2. Subtract 1 from both sides of the equation
+1=4−32
+1−1=4−32−1
3. Simplify
=4n−33
4. Subtract 4 from both sides of the equation
=4−33
−4=4−33−4
5. Simplify
−3=−33
6. Divide both sides of the equation by the same term
−3=−33
-3n/-3=-33/-3
7. Simplify
=11
What is the solution to the linear equation?
–12 + 3b – 1 = –5 – b
b = –2
b = –1.5
b = 1.5
b = 2
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)
The solution to the linear equation –12 + 3b – 1 = –5 – b is:
b = 2
The linear equation is:
–12 + 3b – 1 = –5 – b
Collect like terms
-12 - 1 + 5 = -b - 3b
Simplify the rearranged equation
-8 = -4b
Divide both sides by -4
[tex]\frac{-8}{-4} = \frac{-4b}{-4}[/tex]
The given expression, after dividing both sides by -4, will give:
2 = b
Rewriting the resulting solution:
b = 2
Therefore, the solution to the linear equation –12 + 3b – 1 = –5 – b is:
b = 2
Learn more here: https://brainly.com/question/2159099
What’s the highest common multiple?
Answer:
HCF = 90
Step-by-Step explanation:
2 × 3⁴× 5 = 810
2³× 3²× 5²= 1800
Find the prime factorization of 810
810 = 2 × 3 × 3 × 3 × 3 × 5
Find the prime factorization of 1800
1800 = 2 × 2 × 2 × 3 × 3 × 5 × 5
To find the HCF, multiply all the prime factors common to both numbers:
Therefore, HCF = 2 × 3 × 3 × 5
HCF = 90
12 ft
8 ft
8 ft
Find the area of the kite.
Answer:
The area of the kite would be 48.
PLS HELP ILL MARK YOU BRAINEST DUE IN 20 MINSS
Answer:
well the numbers are 58 60 62 64 and 66
Step-by-step explanation:
it's because when u add these 5 numbers u get 310 hope this helps
Answer: 62
Step-by-step explanation:
Multiply. −2⋅(4)⋅(−3)⋅(5) −120 −4 4 120
Answer:
-44120
Step-by-step explanation:
If anyone answers, I love you.
Answer:
-5 7
6 -3
-9 1
Step-by-step explanation:
im so sorry if im wrong don't sew meh
I’ll give you 10 points and brainley
Answer:
Srry bro this is way to blurry for me to read... Also dont show your password to randoms.
Step-by-step explanation:
Solve: 3(g − 2) = 8
Answer:
g=4⅔
Step-by-step explanation:
3(g - 2)=8
3g -6 = 8
3g= 8+6
3g= 14
[tex] \frac{3g}{3} = \frac{14}{3} [/tex]
g=4⅔
hope this helps
Step-by-step explanation:
3(g - 2) = 8
3(g - 2) = 8
+ 2 +2
3g = 8
3÷3= 0 8÷3 = 4.6
so your answer will be g= 4.6 (5 if you round it up) or if you need it in fraction form it will be 4 and 2/3
An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people below. One bucket dumps water every 18 minutes. The other bucket dumps water every 16 minutes. It is currently 2:45 P.M. And both buckets dumped water 15 minutes ago. Find the next two times that both buckets dump water at the same time.
Answer:
The next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.
Step-by-step explanation:
From the question, one bucket dumps water every 18 minutes, say bucket A;
and the other bucket dumps water every 16 minutes, say bucket B.
Also, It is currently 2:45 P.M. and both buckets dumped water 15 minutes ago,
that is, both buckets dumped water at 2:30 P.M.
For bucket A, the next times it will dump water will be:
2:48 P.M, 3:06 P.M, 3:24 P.M, 3:42 P.M, 4:00 P.M, 4:18 P.M, 4:36 P.M, 4:54 P.M, 5:12 P.M, 5:30 P.M, 5:48 P.M, 6:06 P.M, 6:24 P.M, 6:42 P.M, 7:00 P.M, 7:18 P.M, 7:36 P.M, 7:54 P.M, 8:12 P.M, 8:30 P.M etc.
For bucket B, the next times it will dump water will be:
2:46 P.M, 3:02 P.M, 3:18 P.M, 3:34 P.M, 3:50 P.M, 4:06 P.M, 4:22 P.M, 4:38 P.M, 4:54 P.M, 5:10 P.M, 5:26 P.M, 5:42 P.M, 5:58 P.M, 6:14 P.M, 6:30 P.M, 6:46 P.M, 7:02 P.M, 7:18 P.M, 7:34 P.M, 7:50 P.M etc.
From above, we observe that the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.
Hence, the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.
How are lines KL and MN related?
O The lines intersect at point K.
O The lines are parallel.
O The lines are perpendicular.
O The lines do not have slopes,
The lines KL and MN perpendicular to each other.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
If a line passes through two points, then the slope of the line is
m = y2-y1/x2-x1
From the given graph it is clear that coordinates of points on line KL are K(-8,2) and L(6,2).
The slope of line KL is
m = 0
The slope of line KL is 0, it means it is a horizontal line.
From the given graph it is clear that coordinates of points on line MN are M(-4,8) and N(-4,-6).
The slope of line MN is
m = 1/0
The slope of line MN is 1/0 or undefined, it means it is a vertical line.
We know that vertical and horizontal lines are perpendicular to each other.
Therefore the lines KL and MN perpendicular to each other.
To learn more on slope click:
brainly.com/question/3605446
#SPJ7
Which of the following is both a perfect square and a perfect cube?
64
16
81
1,000
I know the answer is 64, but how? Can someone please explain me to me how to work this out?
Nishi invests $3000 at 5% interest per year. Work out how much she will have altogether after:
Answer:
2 years: 30
5 years: 75
7 years :105
10 years:150
i think those are the answer
Step-by-step explanation:
take the interest percentage and divide by 100 ex:5.2%100= 0.052
take the dollar amount and multiply interest decimal ex:$ 450*0.052=23.40
take the sum of dollar amount and interest decimal and multiply by # of years of interest ex:3 years *23.40 =70.20 interest and that is how you do it
Nishi will have amounts as $3300, $3750, $4050, and $4500 after 2, 5, 7, and 10 years respectively.
What is simple interest?The formula for simple interest is:
I = Prt
Where:
I = Interest earned
P = Principal (amount invested)
r = Interest rate (as a decimal)
t = Time (in years)
Using the simple interest formula to calculate how much Nishi will have after a certain number of years.
2 years:
I = Prt = 3000 x 0.05 x 2 = $300
Total amount after 2 years = P + I = $3300
5 years:
I = Prt = 3000 x 0.05 x 5 = $750
Total amount after 5 years = P + I = $3750
7 years:
I = Prt = 3000 x 0.05 x 7 = $1050
Total amount after 7 years = P + I = $4050
10 years:
I = Prt = 3000 x 0.05 x 10 = $1500
Total amount after 10 years = P + I = $4500
Learn more about the simple interest here:
brainly.com/question/22621039
#SPJ2
PLS ANSWER HELP
Thanks
Name the slope and y-intercept of the graph of each question
y = 3x + 8
5x+y=17
PLEASE SOMEONE EXPLAIN TO ME HOW TO DO IT . WILL MAKE BRAINIEST AND 30 points
Answer:
Step-by-step explanation:
in the simplest terms, the y intercept is always at the end of the equation. the slope always has the x after it.
3x is the slope . 8 is the y intercept
5x is the slope while y is the basically the y intercept.
Answer:
in the simplest terms, the y intercept is always at the end of the equation. the slope always has the x after it.
3x is the slope . 8 is the y intercept
5x is the slope while y is the basically the y intercept.
Step-by-step explanation:
The point (1, –5) is reflected across the y-axis. A coordinate plane. What are its new coordinates?
Answer:
(-1,-5)
Step-by-step explanation:
Answer:
HMM C..... Answer: Choice C. (-1, -5)
Step-by-step explanation:
The reflection rule we use is
when we want to reflect over the y axis. The x coordinate flips from positive to negative, or vice versa, while the y coordinate stays the same.
help me pleaseeeeeeeeeeeeeeeeeeeeeee
Alex bought 2 1/4 pounds of M&Ms and 1.6 pounds of gummy worms. If the M&Ms cost $2 per pound, and the gummy worms cost $ $2.75 per pound, how much did he spend?
Answer:
Alex paid $8.90 total. $4.50 for the M&Ms and $4.40 for the gummy worms.
Step-by-step explanation:
2 [tex]\frac{1}{4}[/tex] is equivalent to 2.25, and if each pound is worth $2, then you would multiply the cost by each pound bought, shown like this: $2 (2.25) = $4.50 (You are distributing the $2 to find the product).
$2.75 (1.6) = $4.40
$4.50 + $4.40 = $8.90
Solve for the value of x that makes likes r and s parallel.
Answer:
x = 65
Step-by-step explanation:
If Alternate exterior angles are congruent, r and s will be parallel
3x - 63 = 2x + 2
3x - 2x - 63 = 2
x - 63 = 2
x = 2 + 63
x = 65
Which statement illustrates a simulation that could be used to generate samples of people on a game show selecting either door A, door B, or door C?
A. Flipping a coin and getting heads for door A or tails for door C.
B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.
C. Creating a spinner divided into 4 equal parts. Label two parts door A, one part door B, and the third part door C.
D. Go to the game show and collect data for a month on which doors people chose.
Answer:
The correct option is;
B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C
Step-by-step explanation:
Given that an onloaded die has equal chances of getting either 1 or 2 or 3 or 4 or 5 or 6, the chances of getting a particular score is therefore 1/6
and the probability of getting a 1 or 2 = 1/6 + 1/6 = 2/6 = 1/3
Therefore, given that the probability, P[tex]_{door}[/tex] of opening door A, or door B, or door C is the probability of selecting 1 out of 3 given as follows;
P[tex]_{door}[/tex](door A) = 1/3
P[tex]_{door}[/tex](door B) = 1/3
P[tex]_{door}[/tex](door C) = 1/3
Therefore, given that the probability of selecting either door A or door B or door C is equivalent to the probability of getting a 1 or 2, or a 3 or 4, or a 5 or 6 on a die.
Answer:
Its B: Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.
Step-by-step explanation:
They have to be evenly probable so its B
edge 2020
The altitude of a helicopter increase is 1000 feet every four minutes. What is the unit rate of change (feet per minute) of the altitude?
Answer:
250 feet per minute
Step-by-step explanation:
1000 divided by 4 is 250. You divide them by each other because if you multiply 250 feet by 4 minutes, you get 1000.
(brainliest?)