The question relates to the total number of pairs of feet ducks and a pigs
are known to have.
There are 5 pigs and 10 ducksReasons:
The length of the group of ducks and pigs = 40 feet
Number of ducks = Twice the number of pigs
Each duck has 2 feet.Each pig has 4 feet.Let x represent the number of pigs, and let y represent the number of ducks, we have;
y = 2 × x
4·x + 2·y = 40
Which gives;
4·x + 2 × (2·x) = 40
8·x = 40
x = 40 ÷ 8 = 5
The number of pigs, x = 5y = 2 × x
Therefore;
y = 2 × 5 = 10
The number of ducks, y = 10Learn more about solving word problems in mathematics here:
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Consider f and c below. f(x, y) = x2 i + y2 j c is the arc of the parabola y = 2x^2 from (−1, 2) to (0, 0)
(a) find a function f such that f = ∇f.
f(x, y) =
(b) use part (a) to evaluate c ∇f · dr along the given curve C.
(a) If there is a scalar function f(x, y) such that ∇ f(x, y) = x² i + y² j, then
∂f/∂x = x²
∂f/∂y = y²
Integrating both of these equations with respect to x and y (respectively) gives
f(x, y) = 1/3 x³ + g(y)
f(x, y) = 1/3 y³ + h(x)
Differentiating with respect to the other variable gives
∂f/∂y = g'(y) = y²
∂f/∂x = h'(x) = x²
so it follows that
f(x, y) = 1/3 x³ + 1/3 y³ + C
for some constant C.
(b) By the gradient theorem,
[tex]\displaystyle \int_C \nabla f \cdot d\vec r = f(0,0) - f(-1,2) = \boxed{-\dfrac73}[/tex]
what do the widths of the bars in an energy pyramid represent?
Answer:
it represents and the relative amount of energy in the trophic level.i think sorry if I am wrong
The widths of the bars in an energy pyramid represent the units of energy available within each trophic level.
What is a energy pyramid?It is defined as the graphical representation of the movement of the energy from one living organism to another in the ecosystem.
When we think of one organism eating another, we usually think of a huge, predatory predator at the top of the food chain. While this depicts the ecological relationships between creatures, it does not depict the energy flow throughout the ecosystem.
Every bar's width indicates the units of energy available within each trophic level, while the height remains constant. The flow of energy goes from the bottom up through the layers of the energy pyramid, gradually decreasing as energy is used up by the creatures at each level.
Thus, the widths of the bars in an energy pyramid represent the units of energy available within each trophic level.
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Need help finding a domain
Answer:
the domains is
[tex] - 10 < x \leqslant 10[/tex]
what is the length of FD? Need help do tomorrow!!!
Answer:
Step-by-step explanation:
The tenure of an FD can vary from 7, 15 or 45 days to 1.5 years and can be as high as 10 years. These investments are safer than Post Office Schemes as they are covered by the Deposit Insurance and Credit Guarantee Corporation (DICGC).
The length of FD in a right-angled triangle with EC as 18 units and CF as 26 units is 20.2 units.
The length of FD can be found using the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is FD, and the other two sides are EC and CF.
EC = 18 units
CF = 26 units
Plugging these values into the Pythagorean Theorem, we get:
[tex]FD^2[/tex] = [tex]EC^2[/tex] + [tex]CF^2[/tex]
[tex]FD^2[/tex] = [tex]18^2[/tex] + [tex]26^2[/tex]
[tex]FD^2[/tex] = 324 + 676
[tex]FD^2[/tex] = 1000
FD = [tex]\sqrt{[/tex](1000)
FD = 10 * [tex]\sqrt{[/tex](10)
FD = 20.2 units
Therefore, the length of FD is 20.2 units.
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Correct Question:
In a right-angled triangle with EC as 18 units and CF as 26 units, what is the length of FD.
Expand and simplify 2(3x – 5) + 3(2x + 3)
Answer:
hope it helps
..........
Round 4.645 to the nearest whole number! Please explain step by step to get marked
Step-by-step explanation:
to round 4.645 to the nearest whole number consider the tenths’ value of 4.645, which is 6 and equal or more than 5. Therefore, we have to round up: the whole number part of 4.645, 4, increases by 1 to 5, and the decimal point and all digits (.645) are removed.
4.645 rounded to the nearest whole number = 5
simplify [tex]y^{-3}[/tex]
Max worked for 2/3 hour. It takes 1/6 hour to make one card. How many cards has Max made? Provide students with fraction bars or guide them in creating a tape diagram as they work in pairs to solve.
Answer: Max has 4 cards.
Step-by-step explanation: 2/6 is equal to 1/3 so 4/6 is equal to 2/3
Also an easier way is to divide 4 by 2 to get 2 and 6 by 2 to get 3.
Answer:
4 cards
Step-by-step explanation:
Each card takes [tex]\frac{1}{6}[/tex] of an hour to be completed, and Max works for [tex]\frac{2}{3}[/tex] of an hour, so Max must've completed x amount of cards in
[tex]\frac{1}{6} x=\frac{2}{3}[/tex]
And we can solve the equation by multiplying the reciprocal of [tex]\frac{1}{6}[/tex] , which is [tex]\frac{6}{1}[/tex],to solve for x:
[tex]\frac{6}{1} * \frac{1}{6} x = \frac{2}{3} * \frac{6}{1} \\ \frac{6 *1}{6*1} x=\frac{2*6}{3*1} \\ \frac{6}{6} x=\frac{12}{3} \\[/tex]
And for any fraction, if the denominator and the numerator are the same number (except for 0), then it will result in 1.
[tex]1x=\frac{12}{3}[/tex]
The 1 isn't necessary when multiplying it with a variable, so we can simply remove it:
[tex]x=\frac{12}{3}[/tex]
And we can simplify the fraction...:
[tex]x=4[/tex]
And we are done!
Couldn't make a fraction bar but hopes this helps :(
Example 8: Over the track-and-field season, the height Fred cleared in the high jump increase from 1.81 m to 1.96 m. a) Find Fred's percent increase in height. W b) What final height would Fred have to clear for a 20% increase in height over the track-and-field season?
Answer:
a. about 8.3%
b. 2.172 m
Step-by-step explanation:
a. 1.81 * x = 1.96
x = 1.083
Percent increase is approximately 8.3%
b. 1.81 * 1.2 = x
x = 2.172 m
The refrigerator is priced at $525.50. There is a 6% sales tax rate. What is the sales tax for the refrigerator in dollar and cents?
Answer:
$31.53
31 dollars 53 cents
Step-by-step explanation:
6% is equal to 0.06.
0.06 * 525.50 = 31.53.
Hope this helps
HELP ASAP!!! 100 POINTSS alan collects data about the students in his class. he records their hair color and whether they have have freckles. his results are shown in the table below.
find each probability
a. P(freckles)
b. P(blonde hair or red hair)
c. P(freckles and brown hair)
d. P(no freckles | red hair)
Answer:
A. 52%
B. 36%
C. 16%
D. 4%
Step-by-step explanation:
13/25 people have freckles.
9/25 people have Blonde or red hair.
4/25 people have freckles and brown hair.
1/25 people have freckles and red hair.
Divide the fractions to get the percentages.
The probabilities are A. 52%, B. 56%, C. 16% and D. 4%
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur.
Given that, Alan collects data about the students in his class. he records their hair colour and whether they have freckles,
P(E) = (Number of favourable outcomes) ÷ (Sample space).
There are total 25 students in data,
A) Students having freckles = 13
P(freckles) = 13/25% = 52%
B) Students having blonde or red hair = 14
P(blonde hair or red hair) = 14/25% = 56%
C) Students having freckles and brown hair = 4
P(freckles and brown hair) = 4/25% = 16%
D) Students with no freckles and red hair = 1
P(no freckles and red hair) = 4/25% = 4%
Hence, a. P(freckles) = 52%
b. P(blonde hair or red hair) = 56%
c. P(freckles and brown hair) = 16%
d. P(no freckles | red hair) = 4%
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Alec invested $1500 in an account with annually compounded interest. The account earns 4% annual interest. How much will Alec have in his account after 4 years?
Answer:
He will have $1,754.79 in his account after 4 yearsStep-by-step explanation:
We can use the compound interest formula to find how much money he will have after 4 years:
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex] ;
where
A= final amount
P= initial amount
r= interest rate
n= number of times interest applied per time period
t= number of time periods elapsed,
so from the given information, we know that 1500 is our initial amount, so P= 1500.
Annual interest means once a year, so n= 1, and the interest rate is 4%, so r= 4% or 0.04
and we are asked to find the amount in his account after 4 years, so t= 4
Now, all we need to do is plug in these values for each of the variables and solve.
[tex]A= 1500(1+\frac{0.04}{1} )^{(1)(4)}[/tex]
and we get
A= $1,754.79
Someone please help, I think I have an idea but just wanna make sure i'm on the right track
Answer:
As per graph the rate of Printer A is 15 pages per minute.
Missing words are:
(a) greater than
(b) greater than
(c) 15
The rate for Printer B is greater than the rate for Printer A because the rate of 25 pages per minute is greater than the rate of 15 pages per minute for Printer A.
or
The printing rate for Printer B is 10 pages more than the rate of printer A because the rate of 25 pages per minute is 10 pages more than the rate 15 pages per minute for Block A
Step-by-step explanation: it's either greater than or more than
From the graph of the printing rate of Printer A, we can see that;
At 1 minute, number of pages printed = 15
At 2 minutes, number of pages printed = 30 minutes
At 3 minutes, number of pages printed = 45
Thus printing rate for printer A is; 15/1 = 30/2 = 45/3 = 15 pages per minutes
Since printer B can print 25 pages per minute, we can conclude that;
The printing rate for Printer B is 10 pages more than the rate of printer A because the rate of 25 pages per minute is 10 pages more than the rate 15 pages per minute for Block A
Explain this picture
Answer:
It's A bar graph but I got to see the question to be for sure but its a bar graph and it helps you measure rates of things from numbers , months , years etc .
Step-by-step explanation:
Save You More offers a buy one/get one free item each week. Customers who purchase only one of the items must pay the regular
price. The limit is one deal per customer. Is the relation (# sale items purchased, price) a function? Why or why not?
A)
B
It is a function because the input can be either 1 or 2 items, but the output
will always be the same price.
It is not a function because the input can be either 1 or 2 items, but the
output will always be the same price.
It is a function because the input will always be the same price, but the
output can be either one or two items.
D
It is not a function because the input will always be the same price, but the
output can be either one or two items.
Answer:
It is a function because the input can be either 1 or 2 items, but the output
will always be the same price.
Step-by-step explanation:
Answer:
A. It is a function because the input can be either 1 or 2 items, but the output
will always be the same price.
Step by Step Explanation :
A function is for every single input but the output is always the same. So, let's make a scenario. If someone bought ' 1 ' then paid the marked cost and if you bought 2 then paid the marked cost BUT with " One Buy One Free. " So, it is in fact a function.
Solve for k.
k/4+ 3= 14
Answer:
k/4+3=14
First you need to isolate the variable.
multiply both sides by 4
Divide 7 divided by 3/5
Express your answer in simplest form.
Answer:
35/5
Step-by-step explanation:
7/1 divded by 3/5. flip 3/5 to its reciprocal so it becomes 5/3, then times 7/1 by 5/3
1/3 of 3 please help I'll give 20 points
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
The sum of the numbers is 66. The larger number is 16 more than the sanaller number, What are the numbers
Larger number: Smaller number:
Answer:
S 25, L 41
Step-by-step explanation:
Small + Large = 66
Large = Small + 16
s + (s + 16) = 66
2s + 16 = 66
2s = 50
s = 25
25 + Large = 66
Large = 41
What is the range of the function y=Vx+5?
Answer:
[tex]y\geq-5[/tex]
Step-by-step explanation:
Because [tex]x+5[/tex] cannot be negative, then [tex]x=-5[/tex] has to be the absolute minimum of the function given its domain. Therefore, all real values of x greater than -5 are all values that exist in the function's range.
find the value of x
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
<AEC =X°
first draw line passing with Eand then ,now<EAB = 116°
the by (consecutive)
180 = <EAB + <1
<1 = (180 - 116 )
<1=. 64°
now second step,<ECD = 124°
then ,180 = <ECD + <2
<2= (180 - 124)
<2= 56°
= Now add <1 + <2
= (64+ 56)°
➡x° = 120°
Answer:
Solution given:
Construction:
EF parallel to AB and CD is drawn.
let suppose <AEF=a
and
<CEF=b
now
<EAB+<EAB=180°[being co interior angle]
116°+a=180°
a=180°-116°=64°
again
<DCE +<CEF=[being co interior angle]
124°+b=180°
b=180°-124°
b=56°
Now
we know
x=a+b=64°+56°=120°
Value of x is 120°
Please help me with this i am ver confused
Answer:
1) 2/x³ the secound option
2)1/x²⁴ the secound option
I think
URGENT simplify (5^3 x 5^5)^5
Answer:
5^40
Step-by-step explanation:
Step 1: Multiply the exponents within the parentheses with the exponent outside of the parentheses.
[tex](5^3^*^5)(5^5^*^5)[/tex] [tex](5^1^5)(5^2^5)[/tex]Step 2: Based on the laws of exponents, add the exponents together.
[tex]5^(^1^5^+^2^5^)[/tex] [tex]5^4^0[/tex]Therefore, the answer is 5^40.
Parth created a Box-and-Whisker Plot to show the average weight of the fish he caught over the weekend. What information from the 1st Quartile does the graph give you?
A. Three fourths of the fish he caught were larger than 22 pounds.
B. The average weight of the fish he caught was 40 pounds.
C. Three fourths of the fish he caught were less than 22 pounds.
D. The largest fish he caught was 63 pounds.
The 1st Quartile that the Box-and-Whisker Plot shows tells us that: A. Three fourths of the fish he caught were larger than 22 pounds.
Recall:
In a Box-and-Whisker Plot, about 25% of the data will be below the first quartile while 75% will be above the first quartile, that is Three fourths of the data will be above the first quartile and one-fourths will be below the first quartile.Thus, the given Box-and-Whisker Plot as shown in the diagram below shows that the first quartile is 22 pounds.
Therefore, the 1st Quartile that the Box-and-Whisker Plot shows tells us that: A. Three fourths of the fish he caught were larger than 22 pounds.
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Answer: A...
Step-by-step explanation:I trust the guy above me....
The value of the x intercept for the graph of 4x-5y=40 is
Answer: x=10
Step-by-step explanation:To find the x-intercept, you have to set y=0.
4x-5y=40
4x-5(0)=40
4x-0=40
4x=40
Then divide both sides by 4 to get x=10
Hope this helps! :D
Belinda's Great Dane is 74.Belinda's Great Dane is 74.9 cm tall and 225 cm long.
Write these lengths in metres.9 cm tall and 225 cm long. Write these lengths in metres.
Answer:
0.749m and 2.25m
Step-by-step explanation:
to convert from centimeters to meters, you divide by 100 because there are 100cm in 1m
74.9cm/100= 0.749m and 225cm/100=2.25m
100 POINTS!!! Please solve this question step by step and explain each step for 100 points.
[tex]2\dfrac 29 = -\dfrac 45 m \\\\\implies 2+ \dfrac 29 =- \dfrac 45 m \\\\\implies \dfrac{20}9 = -\dfrac 45 m \\\\\implies 5(20) = (-4m)9\\\\\implies 100 = -36m\\\\\implies m = -\dfrac{100}{36} \\\\\implies m = -\dfrac{25}9\\\\\implies m=-2\dfrac 79[/tex]
Therefore, the answer is m = -25/9.
Hoped this helped.
[tex]-BrainaicUser1357-[/tex]
PLZ HELP OFFERING BRAINLIEST
Find the difference. 2/5 (d-10) -2/3 (d+6)
[tex]\dfrac 25 (d-10) - \dfrac 23(d+6)\\\\\\=\dfrac{6}{15} (d-10) - \dfrac{10}{15} (d+6)\\\\\\=\dfrac{6(d-10) -10(d+6)}{15}\\\\\\=\dfrac{6d -60-10d-60}{15}\\\\\\=\dfrac{-4d-120}{15}\\\\\\=-\dfrac{4d}{15} - 8[/tex]
A horse gallops 200ft, turns and trots 350ft, turns again and travels 410ft to return to the point he started from.
What is the area of the triangle formed by his path?
round to the nearest hundredth.
for Acellus!!!
Answer:
I think it's 28,700,000 feet
Step-by-step explanation:
Answer:
34,971.99
Step-by-step explanation:
Joyce drives from Louisville to St. Louis which is 260 miles in 4 hours. How many miles can she drive in 10 hours
Answer:
260 miles in 4 hours equals (260 / 4) = 65 miles per hour
In 10 hours she can drive 650 miles
Step-by-step explanation: