How far does the peguin walk in 45 seconds
Answers
Answer:
Step-by-step explanation:
He does not walk at all if he's swimming.
Related Questions
- 7x - 5y = 36
x = 2y + 3
Answers
Answer:
Solution
\(x = - 3,\: y = -3\)
Step-by-step explanation:
If the objective is to solve for the system of equations
- 7x - 5y = 36 [1]
x = 2y + 3 [2]
Then the process is as follows
Substitute x = 2y + 3 from eq [2] in eq [1] : -7 x- 5y = 36==> - 7(2y + 3) - 5y = 36
Expand the brackets
-7 ( 2y + 3) = -7 (2y) - 7(3) = - 14y - 21
Simplify
==> -14y - 21 - 5y = 36
==> -19y - 21 = 36
Add 21 both sides:
-19y -21 + 21 = 36 + 21
-19y = 57
Divide both sides by - 19
- 91y/-19 = 57/-19
y = - 3
Substitute y = -3 in x = 2y + 3:
x = 2(-3) + 3 = -6 + 3 = -3
x = -3
Find the distance between the points (4,-2), (4,-5)
Answers
\(\text{Given that,}\\\\(x_1,y_1) = (4,-2)~~ \text{and}~~ (x_2 ,y_2) = (4,-5)\\\\\text{Distance} = \sqrt{(x_2-x_1)^2 + (y_2 -y_1)^2}\\\\~~~~~~~~~~~~=\sqrt{(4-4)^2 + (-5+2)^2}\\\\~~~~~~~~~~~~=\sqrt{0^2+(-3)^2}\\\\~~~~~~~~~~~~=\sqrt{0+9}\\\\~~~~~~~~~~~~=\sqrt 9\\\\~~~~~~~~~~~~=3\)
4. Find the volume of a water tank
which is 250cm long, 160cm wide
and 80cm deep.
A 20 litres
B. 32 litres
C. 40 litres
D. 320 litres
E 3200 litres
Answers
Answer:
E
Step-by-step explanation:
VOLUME OF A TANK = L×b×h=160*250*80
=3200000cm^3
also 1000cm =1 litres
therefore 3200000cm3 =3200litres
that's all ....... have fun
what is the slope of the line that passes through the points (-7,3) and (0,4)?
A. 1/7
B. 1
C. -1/7
D.-1
Answers
Answer:
a. 1/7
Step-by-step explanation:
y2 - y1 / x2 - x1
4 - 3 / 0 - (-7)
1/7
Evaluate each expression.
8/7 + 4/7
Answers
Answer:
1 4/7
Step-by-step explanation:
8/7 + 4/7 = 12/7. Simplified = 1 4/7
Answer:
1 5/7
Step-by-step explanation:
8+4=12
7 goes into 12 one time.
1 5/7
A constant head permeability test is performed on a soil that is 2 cm x 2 cm square and 2.5 cm long. The head difference applied during the test is 18 cm, and 5 cm3is collected over a time of 100 sec. a) Compute the permeability based on these test conditions and results b) A falling head test is to be done on the same soil specimen in teh same time (t1 - t2
Answers
Answer:A
Step-by-step explanation:por que se calcula correctamente
in what time will a sum of rs2000 amounts to rs2240 at 4% pa simple interest
Answers
Answer: The time it takes for a sum of money to amount to a certain amount at a certain interest rate can be calculated using the following formula:
Time = (100 x (Amount - Principal)) / (Principal x Rate)
In this case, the principal is Rs. 2000, the amount is Rs. 2240, and the rate is 4%. Therefore, the time is:
Time = (100 x (2240 - 2000)) / (2000 x 4) = 3 years
Therefore, it will take 3 years for Rs. 2000 to amount to Rs. 2240 at 4% simple interest.
Step-by-step explanation:
One brand of cola co fizz is sold in packs of 4*500ml for 2.50 another brand colo is sold in packs of 10 330mlfo $2 which brand is more expensive
Answers
Based on the given information, the second brand, Cola, is the more affordable option in terms of cost per milliliter compared to Co Fizz.
To determine which brand of cola is more expensive, we need to compare the cost per unit volume for each brand.
For the first brand, Co Fizz, a pack contains 4 bottles, and each bottle has a volume of 500 ml. The cost of the pack is $2.50. Therefore, the total volume in a pack is 4 * 500 ml = 2000 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2.50 / 2000 ml = $0.00125 per ml.
For the second brand, Cola, a pack contains 10 bottles, and each bottle has a volume of 330 ml. The cost of the pack is $2. Therefore, the total volume in a pack is 10 * 330 ml = 3300 ml. To find the cost per milliliter (ml), we divide the total cost by the total volume: $2 / 3300 ml ≈ $0.000606 per ml.
Comparing the two brands, we can see that the cost per milliliter for Co Fizz is $0.00125, while the cost per milliliter for Cola is approximately $0.000606.
Since the cost per milliliter for Co Fizz is higher than the cost per milliliter for Cola, it can be concluded that Co Fizz is more expensive in terms of price per unit volume.
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8. The percentage of the moon's surface that is visible to someone on the Earth varies due to
the time since the previous full moon. The moon passes through a full cycle in 28 days. The
maximum percentage of the moon's surface that is visible from Earth is 50%. Find a function
for the percentage, P, of the surface that is visible as a function of the number of days, t,
since the previous full moon.
Answers
A functiοn fοr the percentage is P = 25cοs(π/14t) + 25.
What is a functiοn?In the case οf a functiοn frοm οne set tο the οther, each element οf X receives exactly οne element οf Y. The functiοn's dοmain and cοdοmain are respectively referred tο as the sets X and Y as a whοle. Functiοns were first used tο describe the idealized relatiοnship between twο varying quantities.
Here, we have
Given:
Tο find the percentage οf the full mοοn, we can write an equatiοn in the fοrm P = Acοs(Bt) + C
After 14 days, the percentage οf the mοοn is zerο
A = (max-min)/2 = 50/2 = 25
The periοd = 28 days
P = Acοs(BT = t) + c
B = 2π/periοd = 2π/28 = π/14
c = min + A = 0 + 25 = 25
We get,
P = 25cοs(π/14t) + 25,
Here, p is the percentage οf the mοοn visible cοmpared tο the previοus full mοοn.
Hence, a functiοn fοr the percentage is P = 25cοs(π/14t) + 25.
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5 4
_ x _ = 20
7 1 _ =
7
I can’t figure this out show step by step pls
Answers
Answer:
x 64 3pk1
Step-by-step explanation:
The business college computing center wants to determine the proportion of business students who have personal computers (PC's) at home. If the proportion differs from 30%, then the lab will modify a proposed enlargement of its facilities. Suppose a hypothesis test is conducted and the test statistic is 2.5. Find the P-value for a two-tailed test of hypothesis.
Answers
The probability of observing such an extreme result by chance alone is 0.0124.
To find the P-value for a two-tailed test of hypothesis, we need to first determine the significance level (alpha) of the test. Let's assume a significance level of 0.05, which is a common choice.
Since this is a two-tailed test, we need to find the probability of observing a test statistic as extreme or more extreme than 2.5 in either direction. We can find this probability using a standard normal distribution table or a calculator.
Using a standard normal distribution table, we can find that the probability of observing a z-score of 2.5 or greater is 0.0062. The probability of observing a z-score of -2.5 or smaller is also 0.0062. Therefore, the P-value for the two-tailed test of hypothesis is:
P-value = 2 * 0.0062
P-value = 0.0124
This means that if the true proportion of business students who have personal computers at home differs from 30%, with a significance level of 0.05, and we obtain a test statistic of 2.5, then the probability of observing such an extreme result by chance alone is 0.0124.
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Graph the line with slope 2 passing through the point (-5, 2)
Answers
Answer:
Equation is y=2x+12
The image is a picture of the graph(it's not the best but it's something.
Solve for h
h – 5 = -30
Make sure to show your work for full points!
Question 7 options:
HELP ME ASAP PLEASE
Answers
Answer:
H=-30+5
H=-25
Pls mark as brainliest
Write an equation in point slope and slope intercept form of a line that passes through the given point and has the given slope m.(If possible please show work)
Answers
Answer:
Point-Slope: \(y+4=-\frac{1}{2}(x+3)\)
Slope-Intercept: \(y=-\frac{1}{2}x-\frac{11}{2}\)
Step-by-step explanation:
The point-slope formula is \(y-y_{1}=m(x-x_{1} )\). The slope-intercept formula is \(y=mx+b\). Since we are given the point and slope, we can directly plug it into the point-slope formula.
Point-Slope
\(y-(-4)=-\frac{1}{2}(x- (-3))\)
\(y+4=-\frac{1}{2} (x+3)\)
To find the slope-intercept form, we can manipulate the point-slope form to get the slope-intercept form.
Slope-Intercept
\(y+4=-\frac{1}{2}x-\frac{3}{2}\)
\(y=-\frac{1}{2}x-\frac{11}{2}\)
Answer: Point slope form y+4= -1/2(x+3)
Slope intercept form: y=-1/2x -11/2
Step-by-step explanation:
(-3,-4) : m= -1/2
So we know the slope and to write it in point slope form it will be like ,
y- b = m(x-a) Where b is the y value and a is the x value and m in this case is the slope .
y- (-4) = -1/2 ( x-(-3) which reduces to y+4= -1/2(x+3)
Now to write it in slope intercept form it will be like y=mx+b and we kow htat m is the slope but we do not know b the y-intercept. But using the given coordinates we could plot it into the formula and solve for b.
y = mx +b
We know that y is -4
We know that m is -1/2
we know that x is -3
so -4 = -1/2(-3) + B
-4 = 3/2 + b
-3/2 -3/2
b= -11/2
We know now that the y intercept is -11/2 so we could write it in slope intercept form.
y= -1/2x - 11/2
Suppose that 21 people are competing in an Olympic event, where first place earns Gold, second place earns Silver, and third place earns Bronze. How many different possible outcomes are there for this Olympic event
Answers
Answer:
Step-by-step explanation:
This is a combination problem. Combination has to do with selection
Total people competing in the event = 21people
Prizes to be won = 3(Gold, silver and bronze)
Using the formula
nCr = n!/(n-r)!r!
21C3 = 21!/(21-3)!3!
21C3 = 21!/18!3!
21C3 = 21×20×19×18!/18!3!
21C3 = 21×20×19/3!
21C3 = 21×20×19/6
21C3 = 1330
Hence 1330 possible outcome are there for the event.
Here is a rectangle:
2
3
2 cm
Find the area of the rectangle.
cm²
Answers
The area of the given rectangle with a length of 3 cm and a width of 2 cm is 6 cm².
To find the area of a rectangle, we multiply its length by its width. In this case, the length of the rectangle is given as 3 cm and the width is given as 2 cm.
Area of the rectangle = Length * Width
Plugging in the given values:
Area = 3 cm * 2 cm
Multiplying 3 cm by 2 cm gives us:
Area = 6 cm²
Therefore, the area of the given rectangle with a length of 3 cm and a width of 2 cm is 6 cm².
The area of a rectangle represents the amount of space enclosed within its boundaries. In this case, since the rectangle is two-dimensional, the area is measured in square units, which in this case is square centimeters (cm²).
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Let P(1,2,1), Q(1,0,-1), R(2,2,0) be the vertices of a parallelogram with adjacent sides PQ and PR. Find the other vertex S.
Answers
Given:
The vertices of a parallelogram are P(1,2,1), Q(1,0,-1), R(2,2,0).
PQ and PR are the adjacent sides of the parallelogram.
To find:
The coordinates of vertex S.
Solution:
We know that, the diagonals of a parallelogram bisect each other.
Let the coordinates of the vertex S are (a,b,c).
In the given parallelogram PS and QR are the diagonals. It means their midpoints are same.
\(\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{1+2}{2},\dfrac{0+2}{2},\dfrac{-1+0}{2}\right)\)
\(\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{3}{2},\dfrac{2}{2},\dfrac{-1}{2}\right)\)
On comparing both sides, we get
\(\dfrac{1+a}{2}=\dfrac{3}{2}\)
\(1+a=3\)
\(a=3-1\)
\(a=2\)
Similarly,
\(\dfrac{2+b}{2}=\dfrac{2}{2}\)
\(2+b=2\)
\(b=2-2\)
\(b=0\)
And,
\(\dfrac{1+c}{2}=\dfrac{-1}{2}\)
\(1+c=-1\)
\(c=-1-1\)
\(c=-2\)
Therefore, the coordinates of vertex S are (2,0,-2).
3.) Lucille bought 15 mangoes for P225.00, how much will she pay for 25 mangoes
at the same rate?
Answers
Answer:
She will pay P375.00 for mangoes at the same rate.
Step-by-step explanation:
This question is solved by proportions.
Lucille bought 15 mangoes for P225.00
This means that she paid 225/15 = P15.00 for each mangoe.
How much will she pay for 25 mangoes at the same rate?
25*15 = 375
She will pay P375.00 for mangoes at the same rate.
PLZ HELPPP
6.7 multiplied by 8
Answers
Answer:
53.6
Step-by-step explanation:
Answer:
53.6 is the answer :D
Step-by-step explanation:
If f(x)=x² – 4x, what is the value of 2f(a-1)?
Answers
The correct value of 2f(a-1) is 2a^2 - 12a + 10.
To find the value of 2f(a-1), we need to substitute (a-1) into the function f(x) and then multiply the result by 2.
Given: f(x) = x^2 - 4x
Substituting (a-1) into the function:
f(a-1) = (a-1)^2 - 4(a-1)
Expanding and simplifying:
f(a-1) = (a^2 - 2a + 1) - (4a - 4)
f(a-1) = a^2 - 2a + 1 - 4a + 4
f(a-1) = a^2 - 6a + 5
Now, we multiply the result by 2:
2f(a-1) = 2(a^2 - 6a + 5)
Expanding:
2f(a-1) = 2a^2 - 12a + 10
Therefore, the value of 2f(a-1) is 2a^2 - 12a + 10.
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How tall is the tree?
5ft
35°
-20ft-
[?]ft
Round to the nearest foot.
Answers
Answer:
19
Step-by-step explanation:
tan35=x/20
20tan35=x
x=14.0041507641942
x+5=19.0041507641942
The nearest foot is 19
12 is 60, percent of what number?
Answers
x = 20
Step-by-step explanation:Hi there !
12 .........60%
x............100%
x = 12×100/60
= 1200/60
= 20
Good luck !
Help please
Here is a triangular prism.
7.8 cm
16 cm
5.4 cm
Work out the volume of the prism in cm.
Give your answer correct to 3 significant figures.
Answers
Answer:
243cm^3
Step-by-step explanation:
By Pythagoras' Theorem,
height of the prism ^2 + 5.4^2 = 7.8^2
height of the prism = ±√(7.8^2 -5.4^2) = ±5.6285cm (5s.f.) (rej. - 5.6285 since height > 0cm)
volume of the prism = 1/2 x 5.4 x 5.6285 x 16 = 243cm^3 (3s.f.)
This is a question on mensuration. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
A waitress sold 11 ribeye steak dinners and 14 grilled salmon dinners, totaling $551.11 on a particular day. Another day she sold 15 ribeye steak dinners and 7 grilled salmon dinners, totaling $581.47. How much did each type of dinner cost?
Answers
Answer:
A ribeye steak dinner costs $32.23 and a grilled salmon dinner costs $14.04.
Step-by-step explanation:
Let's use variables to represent the cost of each dinner. Let's say that the cost of a ribeye steak dinner is "r" and the cost of a grilled salmon dinner is "s".
From the first day's sales, we know:
11r + 14s = 551.11From the second day's sales, we know:
15r + 7s = 581.47We now have two equations with two variables, which we can solve using elimination or substitution.
Let's use elimination. If we multiply the first equation by 15 and the second equation by 11, we can eliminate the "r" variable:
165r + 210s = 8266.65165r + 77s = 6396.17Subtracting the second equation from the first, we get:
133s = 1870.48Dividing both sides by 133, we get:
s = 14.04So a grilled salmon dinner costs $14.04.
We can substitute this value back into one of the original equations to solve for "r". Let's use the first equation:
11r + 14(14.04) = 551.1111r + 196.56 = 551.1111r = 354.55r = 32.23So a ribeye steak dinner costs $32.23.
Therefore, a ribeye steak dinner costs $32.23 and a grilled salmon dinner costs $14.04.
What is the sin B?
/21
B
5
2
sin (B) =
[?]
![What is the sin B?/21B52sin (B) =[?]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/bJqEBQdNtkeNzRPqszdQkxPqXUYlMPak.png)
Answers
Answer:
Step-by-step explanation:
sin (B) = \(\frac{2}{5}\)
round to the nearest hundredth?
A
4
?
35°
с
B
Answers
The length of the unknown side length, |AB|, is 6.97
TrigonometryFrom the question, we are to determine the value of the unknown side length
The unknown side length is the hypotenuse
Using SOH CAH TOA
We can write that
sin 35° = 4/|AB|
∴ |AB| = 4 /sin35°
|AB| = 4 /sin35°
|AB| = 6.97
Hence, the length of the unknown side length, |AB|, is 6.97
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Please help ASAP on both questions I don’t have that many points and this is due in 10 mins :(
Answers
Answer:
8) 0
9) undefined
the cone has a radius of 6m and a height of 9cm what's the volume ?
Answers
Answer:
339.4cm³
Step-by-step explanation:
V
=
π
r
2
h
3
22/7×6²×9/3= 339.42
Solve for x and show steps . Is the solution extraneous ? Check your work to show how you determined if the solution is extraneous or not
Square 4x-3=5
Answers
The solution of the equation 4x - 3 = 5 is not extraneous .
How to solve an equation?Extraneous solutions are values that we get when solving equations that aren't really solutions to the equation.
Therefore, let's solve the equation to know whether it is extraneous solution.
Hence,
4x - 3 = 5
add 3 to both sides of the equation
4x - 3 + 3 = 5 + 3
4x = 8
divide both sides of the equation by 4
4x / 4 = 8 / 4
x = 2
Therefore, it is not extraneous solution.
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x/5 + 2.5 > 15 plss help
Answers
Answer:
espero q te sirva
Step-by-step explanation:
x/5 + 2.5 > 15
x/5+10>15
x/5>5
x >25