The weight of a baby dog on day one is 5 kilograms. Every day, the dog grows an additional 0.1 kilograms. How heavy the dog is after 10 days?
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
The weight of the dog after 10 days is 5.9 kg.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
Weight of the baby on day one = 5 kg
This can be written as,
1 day = 5 kg
The dog grows 0.1 kg each day.
This means,
On the 2nd day, we get,
2 days = 5 + 0.1
2 days = 5.1 kg
The expression for the weight of the dog on n days can be written as,
n days = 5 + (n -1) x 0.1 _____(1)
Now,
After 10 days we get,
n = 10
From (1) we get,
10 days = 5 + (10 - 1) x 0.1
10 days = 5 + 9 x 0.1
10 days = 5 + 0.9
10 days = 5.9 kg
Thus,
The weight of the dog after 10 days is 5.9 kg.
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Jamal wants to install a rectangular 2025 cm² window in his garden shed. That area of window comes in several length/width combinations, and he wants to minimize the perimeter to prevent drafts. What is the least perimeter possible for the window?
Answer:
The ideal size will be a 45cmx45cm square, giving you a perimeter of 180cm.
Step-by-step explanation:
The shortcut answer here is that the square will always be the most efficient rectangle for border to area, so the sides should be the square root of 2025 cm, or 45 cm each, giving you a total of 180 minimum perimeter.
The full solution is to express the perimeter as a function of the length and width, define either length or width as a function of the other, take the entire expression's derivative and solve for zero. Let's do it:
So first the area:
2025 = wl
l = 2025 / w
Now the sides:
[tex]p = 2w + 2l\\p = 2w + 2(2025 / w)\\p = 2w + 4050 / w[/tex]
Then we can take its derivative with respect to w
[tex]p = 2w + 4050\frac{1}{w}\\\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\[/tex]
Now we can set the derivative to zero, and solve for w:
[tex]\frac{dp}{dw} = 2 + 4050\frac{-1}{w^2}\\0 = 2 + \frac{-4050}{w^2}\\-2 = \frac{-4050}{w^2}\\2w^2 = 4050\\w^2 = 2025\\w = \sqrt{2025}\\w = 45[/tex]
So the width being 45, we can get the length by dividing the area by that amount, which of course is also 45.
The ordered pairs (8,12). (16, 24), (x, 21), (26, y) represent a proportional relationship
Find the value of x and the value of y.
Select the two correct answers.
A y=56
B. x= 14
C. x=7
D. y=39
Ex= 9
F. y = 42
Answer: B. x= 14
D. y=39
Step-by-step explanation:
First and foremost, we need to calculate the constant of proportionality. This will be:
(8,12).
y = kx.
12 = 8k
k = 12/8
k = 1.5
(16, 24),
y = kx
24 = 16k
k = 24/16
k = 1.5
(x, 21),
y = kx
x = y/k
x = 21/1.5
x = 14
(26, y)
y = kx
y = 26 × 1.5
y = 39
Help me please many thanks :)
Answer:
(a) median = 6
(b) median = 14
(c) median = 37
(d) median = 19
(e) median = 4.5
(f) median = 15
(g) median = 126
(h) median = 345
(i) median = 50
(j) median = 75
Step-by-step explanation:
The median of the ungrouped data is obtained by arranging the numbers from the lowest to the highest number, then select the middle number. If you have two numbers in the middle, sum the two numbers and divide it by 2.
(a) in order: 3 4 4 6 7 8 8
median = 6
(b) in order: 11 11 12 14 15 16 17
median = 14
(c) in order: 31 31 34 37 38 41 42
median = 37
(d) in order: 17 17 18 19 19 21 23
median = 19
(e) in order: 3 3 3 4 5 6 7 9
median = (4 + 5) / 2 = 4.5
(f) in order: 12 14 14 14 16 18 19 20
median = (14 + 16)/2 = 15
(g) in order: 120 121 124 128 129 131
median = (124 + 128)/2 = 126
(h) in order: 321 339 342 345 352 358 362
median = 345
(i) in order: 43 46 49 49 51 51 51 52
median = (49 + 51)/2 = 50
(j) in order: 68 70 73 74 76 77 77 81
median = (74 + 76)/2 = 75
Find the missing side of the right triangle. Write the value only.
Which function represents the graph of y = 3(1/2)^x
а
b
с
d
Answer: b
Step-by-step explanation:
Which of the following values are solutions to the inequality - 8 - 3x > 2?
I. – 2
II. – 12
III. 5
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
X< -10/3
Interval Notation:
(-∞, - 10/3)
Hope this is right :)
Guys help I’ve been trying to solve this problem for the past 40 minutes.
Answer:
56 degrees since you set the two equations equal to each other and then plug the value of p (which is 11) back in to find the answer.
The stock of Company A gained 5% today to $54.60. What was the opening price of
the stock in the beginning of the day?
Answer: $51.85
Step-by-step explanation:
To find the answer, you would divide $54.60 by 100. You do that to figure out the amount of money for 1%. Then you multiply 5 to figure out 5%. Lastly, you would subtract the answer by $54.60 since your finding out how much it was at the beginning of the day. Equation: $54.60 ÷100= $.546 x 5= 2.73. 54.60- 2.75 =51.85
$51.85
To find the answer, you would divide $54.60 by 100. You do that to figure out the amount of money of 1%
Then you multiply 5 to figure out 5%. Subtract the answer by $54.60 since your finding out how much it was at the beginning of the day.
Equation: $54.60 ÷100= $.546 x 5= 2.73. 54.60- 2.75 =51.85.
Final result: $51.85
reduce to the simplest form[tex]\frac{286}{858}[/tex]
Answer:
143 over 428
Step-by-step explanation:
slove for y . 3x+2y=-6
Answer:
y = -(6+3x)/2
Step-by-step explanation:
♪＼(*＾▽＾*)／＼(*＾▽＾*)／
The. Ordered pair?
Is this a function yes or no?
simple 9th grade math
Answer:
-1078
Step-by-step explanation:
To find the nth term in an arithmetic sequence we use the following formula
aₙ=a₁+(n-1)*d
Where a₁ is the first time, and d is the common difference (in this case -20)
So we have
2+(55-1)*-20
2+(54)*-20
2-1080
-1078
Determine the intercepts of the line x-intercept
Answer:
I dont know if you meant where it intercepts the x line or y line so for the x line it intercepts at -7.5 but for y line it intercepts at 5.5
Help pleas brainliest promise
Answer:
1) 13
2) 1
Step-by-step explanation:
1) you add the e amount of people that went to the store 3 and 5 times because those are all more than 2.
2) 1 has the lowest number on the amount of landings.
please solve for b
a=b/c
Answer:
b = ac
Step-by-step explanation:
Solve for b by simplifying both sides of the equation, then isolating the variable.
Answer:
b= ac
Solve for b by simplifying both sides of the equation, then isolating the variable.
please help i’ll give you and thanks and brainliest
Answer:
105
160
150
Step-by-step explanation:
This is just simple subtraction.
180-75=105
180-20=160
180-30=150
How big is it? I need to know like fr
Answer:
10 in
Step-by-step explanation:
Answer:
i got a 6 inch it ain't that small
Find the slope of the line that passes through the points (1,-4) and (3,-1).
Answer:
(2,3)
Step-by-step explanation:
you go up 3 and forward 2 so it would be positive positive.
what is the slope of the form of (1,2) m= -2
Answer:
m = -2
Step-by-step explanation:
slope is m in y = mx + b
You already said what m is
2x + y = 11
3x - y = 4
Answer:
[tex]x=3,y=5[/tex]Step-by-step explanation:
Add the equations together and solve for x.
[tex](2x + y )+ (3x - y) = 11 + 4[/tex]
[tex]5x=15[/tex]
[tex]x=3[/tex]
Use equation [tex]2x+y=11[/tex] to solve for y.
[tex]2(3) +y=11[/tex]
[tex]6+y=11[/tex]
[tex]y=11-6[/tex]
[tex]y=5[/tex]
Identify the horizontal asymptote of each graph.
y = 0
y = 1
y = 6
Identify the horizontal asymptote of each graph.
y = 0
y = –3
y = –5
Answer:
y = 0 and y = -3
Step-by-step explanation:
The horizontal asymptote of each graph is:
1. y=0
2. y= -3
What is asymptote?An asymptote of a curve y = f (x) that has an infinite branch is called a line such that the distance between the point (x, f (x)) lying on the curve and the line approaches zero as the point moves along the branch to infinity.
1.Given function:
t(x)= [tex]6^{x}[/tex]
If we apply limit x→∞, then we get y=c as horizontal asymptote
So, [tex]\lim_{x \to \infty} 6^{x}[/tex]= 0
Hence, the asymptote will by y=0.
2. Given function:
t(x)= [tex]5^{x}[/tex]-3
If we apply limit x→∞, then we get y=c as horizontal asymptote
So, [tex]\lim_{x \to \infty} 5^{x} -3[/tex]= -3
Hence, the asymptote will by y=-3.
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can someone please help me?
Decide which shipping box (or combination of boxes) she should use to ship exactly 270 necklaces.
Solve the simultaneous equations
8x + 3y = 45
2x + 3y = 27
x = 3 and y = 7 are the answers to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27.
What are linear equations?A linear equation is an equation that describes a straight line on a coordinate plane. It is an equation of the form y = mx + b, where x and y are variables, m is the slope of the line, and b is the y-intercept (the point where the line intersects the y-axis).
To solve the simultaneous equations:
8x + 3y = 45 ...(1)
2x + 3y = 27 ...(2)
By adding or removing equations, we can utilise the procedure of elimination to get rid of one of the variables. In this situation, y can be removed by deducting equation (2) from equation (1) as shown below:
(8x + 3y) - (2x + 3y) = 45 - 27
6x = 18
x = 3
In order to obtain the value of y, we can now change the value of x in either equation (1) or (2). Consider using equation (1):
8x + 3y = 45
8(3) + 3y = 45
24 + 3y = 45
3y = 45 - 24
3y = 21
y = 7
Therefore, the solution to the simultaneous equations 8x + 3y = 45 and 2x + 3y = 27 is x = 3 and y = 7.
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HURRY
1/12 is the same as 1÷12. What is the exact quotient in decimal form of 1÷12?
Answer: Yes 1/12 is the same as 1 ÷ 12
decimal form is 0.083333333333333333(3 is repeating)
Step-by-step explanation:
Answer:
0.08333333333
Step-by-step explanation: since i helped can i have brainlist please :D
What does this symbol mean "⊥" ?
Answer:
The symbol ⊥ means is perpendicular to
Step-by-step explanation:
(brainliest)
Answer:
perpendicular to
Step-by-step explanation:
What is the complement of 45?
Answer:
45°
Step-by-step explanation:
If sum of two angles is 90° , then they are called complementary angles.
Complement of 45 = 90 - 45 = 45
pls dont say random stuff to get points
Answer:
C) 3 1/4
Step-by-step explanation:
work out 1/5 of 80 =
Answer:
16
Step-by-step explanation: your welcome
