Bertie placed a transparent grid made up of unit squares over each of the shapes she was measuring below. Using her grid, approximate the area of each region.
Answers
The area covered by region 1 is 16 units and that by region 2 is 15 units.
Given the area of a square be 1unit.
So. the number of block completely covered = a
number of block that are coverered approximately half = b .
So, total area covered = 1*a + 0.5 * b
for figure 1.)
the number of block completely covered = a = 12
number of block that are coverered approximately half = b = 8.
Therefore Total area covered = 1*a + 0.5 * b
= 1*12 + 0.5 * 8
= 12 + 4
= 16units
for figure 2.)
the number of block completely covered = a = 12
number of block that are coverered approximately half = b = 6.
Therefore Total area covered = 1*a + 0.5 * b
= 1*12 + 0.5 * 6
= 12 + 3
= 15units
Therefore, the area covered in region 1 is 16 unit and the area covered in region 2 is 15 unit.
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The area covered by region 1 is 16 units and that by region 2 is 15 units.
Given the area of a square be 1unit.
So. the number of block completely covered = a
number of block that are coverered approximately half = b .
So, total area covered = 1*a + 0.5 * b
for figure 1.)
the number of block completely covered = a = 12
number of block that are coverered approximately half = b = 8.
Therefore Total area covered = 1*a + 0.5 * b
= 1*12 + 0.5 * 8
= 12 + 4
= 16units
for figure 2.)
the number of block completely covered = a = 12
number of block that are coverered approximately half = b = 6.
Therefore Total area covered = 1*a + 0.5 * b
= 1*12 + 0.5 * 6
= 12 + 3
= 15units
Therefore, the area covered in region 1 is 16 unit and the area covered in region 2 is 15 unit.
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Related Questions
Write the formula to calculate the height, h.
Answers
Answer:
Full height = present heightpercentage of full height at current age x 100. Q
hope it helps...
Determine the values of y in the equation y² = 121.
Pre-Algebra 8th grade
All I know that it is not 11
Answers
+11, -11
The reason the answer is not 11 is not because you did the math wrong its because you gave the answer is just 11.
even when you square a negative number you multiply two negatives to make a positive so it would have to be -11 and +11.
This applies to whenever you square a number, the answer can always be two possibilities the positive and the negative.
If y(x) is the solution of the differential equation
[tex] \rm{xdy - ( {y}^{2} - 4y)dy = 0 \: for \: x > 0, \: \: \: \: \: \: \: y(1) = 2,}[/tex]
& the slope of the curve y=y(x) is never zero, then the value of [tex]\rm{10y( \sqrt{2} )}[/tex] is
Answers
I assume the equation is
[tex]x \, dy - (y^2 - 4y) \, dx = 0[/tex]
since separating variables leads to
[tex]x\,dy = y(y-4) \, dx[/tex]
[tex]\dfrac{dy}{y(y-4)} = \dfrac{dx}x[/tex]
for which the condition that [tex]x>0[/tex] is actually relevant, as opposed to the simpler differential equation
[tex]x \, dx - (y^2-4y)\, dy = 0 \implies y(y-4) \, dy = x \, dx[/tex]
(though it's a bit more work to solve for [tex]y(x)[/tex] in this case)
That the slope [tex]\frac{dy}{dx}[/tex] is non-zero tells us that
[tex]\dfrac{dy}{dx} = \dfrac{y(y-4)}x \neq 0 \implies y\neq0 \text{ and } y \neq 4[/tex]
Integrate both sides.
[tex]\displaystyle \int \frac{dy}{y(y-4)} = \int \frac{dx}x[/tex]
On the left, expand into partial fractions.
[tex]\displaystyle \frac14 \int \left(\frac1{y-4} - \frac1y\right) \, dy = \int \frac{dx}x[/tex]
[tex]\dfrac14 (\ln|y-4| - \ln|y|) = \ln|x| + C[/tex]
With the given initial value, we find
[tex]y(1) = 2 \implies \dfrac14 (\ln|2-4| - \ln|2|) = \ln|1| + C \implies C = 0[/tex]
so the particular solution is
[tex]\dfrac14 (\ln|y-4| - \ln|y|) = \ln|x|[/tex]
By definition of absolute value, with the initial condition of [tex]0 < y=2 < 4[/tex] and the condition [tex]x>0[/tex], we can remove the absolute values.
[tex]\dfrac14 (\ln(4-y) - \ln(y)) = \ln(x)[/tex]
Solve for [tex]y[/tex].
[tex]\ln\left(\dfrac{4-y}y\right) = 4 \ln(x) = \ln\left(x^4\right)[/tex]
[tex]\dfrac{4-y}y = \dfrac4y - 1 = x^4[/tex]
[tex]\implies y(x) = \dfrac4{1 + x^4}[/tex]
Then
[tex]10y\left(\sqrt2\right) = \dfrac{40}{1 + \left(\sqrt2\right)^4} = \boxed{8}[/tex]
On the off-chance you meant the other equation I suggested, we find
[tex]\displaystyle \int y(y-4) \, dy = \int x \, dx[/tex]
[tex]\displaystyle \frac{y^3}3 - 2y^2 = \frac{x^2}2 + C[/tex]
[tex]y(1) = 2 \implies \dfrac83 - 2\cdot4 = \dfrac12 + C \implies C = -\dfrac{35}6[/tex]
Solving for [tex]y(x)[/tex] involves picking the right branch of the cube root that agrees with [tex]y(1)=2[/tex]. With the cube root formula, we find
[tex]y(x) = 2 - \xi(1 - i\sqrt3) - \dfrac1\xi (1+i\sqrt3)[/tex]
where
[tex]\xi = \dfrac{2\sqrt[3]{4}}{\sqrt[3]{3x^2 - 3 + \sqrt{9x^4 - 18x^2 - 1015}}}[/tex]
With a calculator, we find
[tex]10y\left(\sqrt2\right) \approx 18.748[/tex]
Write a six-digit number with a 5 in the ten thousands place and a 2 in the ones place?
Answers
Answer:
105,342
Step-by-step explanation:
It is valid.
help pleaseeeeeeeeeeeee
Answers
Answer:
1)5n: not balanced
2)1n: Balanced
4)8n: not balaned
Step-by-step explanation:
HELP ME PLS 50 POINTS ASAP!!!!!!!!!!!!
A large downtown hotel consists of twenty-four levels. Any level above ground is referred to as a" floor". There are twenty-two floors and each floor corresponds to its number on the number line (2 is second floor, 3 is third floor, etc...) and two underground levels reserved for underground parking. The first level below ground level is Parking A, and the second level below ground level is labeled Parking B.
Write an addition expression to represent the following scenario. Then, determine which level the attendant is on.
A valet attendant parks a car in Parking B, takes the elevator up six levels, and then takes the elevator down three levels.
Answers
Answer:
(B+6)- 3
is it correct?
The function f is defined by f(x)=x+5.
Find f(x-1).
Answers
=x + 4
The value of f (x -1) is;
f (x - 1) = x + 4
What is Function?
A relation between a set of inputs having one output each is called a function.
Given that;
Function f (x) = x + 5
Now,
Find the value of f (x - 1), we substitute the value x = x - 1;
f (x) = x + 5
f (x - 1) = (x - 1) + 5
f (x - 1) = x - 1 + 5
f (x - 1) = x + 4
Thus, The value of f (x -1) is;
f (x - 1) = x + 4
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Fill in the blanks below with the correct units.
(a) Jina’s pet dog has a mass of 7______
(I) grams
(II) kilograms
(b) Keith squeezed an orange and got about 70 _____ of juice
(I) milliliters
(II) liters
(c) The soccer field at Tony’s school is 100_______ long.
(I) millimeters
(II) centimeters
(III) meters
(IV) kilometers
Answers
Answer:
Step-by-step explanation:
A: Kilogram
B: Milliliters
C: 100 Kilometers
b) milliliters
c) meters
-10 2/7 divided (-4 4/11) write fractions in simplest form
Answers
According to the solving the simplest form of the given fraction is:
= [tex]$2 \frac{47}{70}$\\[/tex]
What exactly is fractional simplification?Simplified fractions are fractions in their simplest, smallest, and most basic form. The fraction's numerator and denominator are reduced to the point where the sole common element between them is 1. For example, 4/6, 8/12, 16/24, and so on are simplified fractions of 2/3.
What exactly do you mean by "simplification"?the process of making anything less complicated and hence easier to do or understand, or the product of such a process: The organization provides advice on how to simplify trade procedures.
According to the given data:-10 2/7 divided (-4 4/11)
This can be written as:
= [tex]\frac{-10\frac{2}{7} }{-4\frac{4}{11} } \\[/tex]
On simplifying we get:
= 68/7 and 40/11
= [tex]\frac{68}{7} /\frac{40}{11}[/tex]
= [tex]$\frac{-68 \times 11}{7 \times-40}$[/tex]
= [tex]$\frac{-748}{-280}$[/tex]
dividing numerator and denominator by 4:
= [tex]$\frac{-748 \div 4}{-280 \div 4}$[/tex]
= [tex]$\frac{187}{70}$[/tex]
= [tex]$2 \frac{47}{70}$\\[/tex]
According to the solving the simplest form of the given fraction is:
= [tex]$2 \frac{47}{70}$\\[/tex]
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Find the derivative of each function. h(x) = (4x^3 + 8x)(16 – 5x^5)
Answers
The derivative of each function h(x) is [tex]192x^{2} +160x^{7} +128-240x^{5}.[/tex]
What is a derivative ?The rate of change of a function with respect to a variable. Derivatives are fundamental to the solution of problems in calculus and differential equations.
Given:
The given function is
[tex]h(x) = (4x^3 + 8x)(16-5x^5)[/tex]
According to given question we have
[tex]h(x) = (4x^3 + 8x)(16- 5x^{5} )[/tex]
[tex]h'(x)=\frac{d(4x^{3} +8x)(16-5x^{5}) }{dx} \\\\=\frac{d(64x^{3}+20x^{8} +128x-40x^{6}) }{dx} \\\\=192x^{2} +160x^{7} +128-240x^{5}[/tex]
Therefore, the derivative of each function h(x) is [tex]192x^{2} +160x^{7} +128-240x^{5}.[/tex]
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What is the slope-intercept equation of the line going through (6, 7) and
(2,-1)?
Answers
Answer:
y=2x-5
Step-by-step explanation:
you use m=y2-y1/x2-x1 which equals 2. So that's our slope. Then you do b=y1 -mx1 or yout could do the second point. This gives you b= 7-(2) x(6)=-5. That's how you get the y. Hope this helps!
Live Fund are selling their holdings at $5,000 per share. How much would Live Fund receive
if they sold half their holdings in Marks Brother
Harp Pensions: 12%
PRH: 19%
USS Oils: 8%
Live Fund 24%
Marks Family 32 %
Trust
Answers
Given data,
Live Fund are selling their holdings at $5,000 per share
Sale price of Live Fund holding = 5000 dollar
To find:
Amount that Live Fund will get if they sell half of their holding in Marks Brothers.
Assume the total number of shares held by Live Fund in Marks Brothers as A
Therefore, half the holdings (or half the number of shares) of Live Fund will be.
= A/2
Thus, if each share is valued at $5000,
Then the total value of the number of shares sold will be as follows,
= 5000 × A/2 dollars
= [tex]\frac{5000*A}{2}[/tex] dollars
= 2500 A dollars
Hence, Live Fund will receive $2500 A
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2,553= 2,200(1 + i)²solve the equation
Answers
Answer:
The answer is 2553=4400i
Step-by-step explanation:
The ratio of flour to butter in a recipe for pie crust is 2:1 if a baker makes 30 cups of pie crust how many cups of flour and how many cups of butter does he need
Answers
The number of flour cups would be 20
and butter cups would be 10.
The explanation to this question this is
There are total 30 cups of pie crust made.
Now, 2
2:1 is the ratio given.
For flour cups
= [tex]\frac{2}{3}[/tex] × 30
= 2 × 10
= 20
For butter cups
= [tex]\frac{1}{3}[/tex] × 30
= 1 × 10
= 10
So in total 30 cups of pie crust , there are 20 cups of flour and 10 cups of butter.
Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another.
Two amounts are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent." For instance, out of a group of 30, 17 prefer to walk and 13 prefer to cycle in the morning. We write this information as 17: 13 to express it as a ratio.
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In a particular class of 30 students, 8 are men. What fraction of the students in the class are women?
Answers
Answer:
22 students are women.
Step-by-step explanation:
because when the number of students in total is 30 and 8 students are men so the rest of the class are women 30-8=22
Write an equation for the transformation of y=x
vertical compression by a factor of 1/11
Answers
An equation for the transformation of y = x vertical compression by a factor of 1/11 is; y = (1/11)x
What is vertical compression in transformation?Vertical compressions in transformations occur when a function is multiplied by a rational scale factor. This means that base of the function's graph would remain unchanged when a graph is compressed vertically because it is only the output values that will be affected.
Now, we are given the equation as; y = x
When it undergoes a vertical compression by a factor of 1/11, we can say that the new equation will be; y = (1/11)x
Thus, we conclude that an equation for the transformation of y=x
vertical compression by a factor of 1/11 is; y = (1/11)x
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Match each poly nominal on the left to its description on the right
Answers
Answer:
Fill in the blanks to declare sum equal to a + b (int _ = a __b)An integer data type can hold decimal values.
Answer:
See below
Step-by-step explanation:
See attached pic
Degree refers to the highest exponent
-nomial refers to the number of terms
21/3 + (3×9) × 9 + 5
Answers
Answer:
255
Step-by-step explanation:
During the exponential growth phase of Salmonella Enerica bacteria in a certain environment, the population grows exponentially with a growth rate of 2.74% per hour. For an initial population of 18 Salmonella Enerica bacteria, determine how many bacteria will be present after 4 days in the exponential growth phase. Round to the nearest whole number
Answers
Population growth is exponential, growing by some multiple over time that is dictated by a rate. To find the population exponential growth formula, take this initial premise, the population multiplied by a rate, and equate it to the change in population with respect to time.
Number of bacteria present after 4 days will be 20.05 .
Given,
Initial population = 18
Growth rate = 2.74%
Here,
The exponential growth is given by ,
N = [tex]N_{0} (1 + r )^t[/tex]
N = population after time t
No = Initial population
r = growth rate
t = time
Here,
No = 18
t = 4 days
r =2.74% = 0.0274
Substitute the values in the formula ,
N = 18 [tex](1 + 0.0274)^{4}[/tex]
N = 20.05 .
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solve the linear equation
8-x=26+x
Answers
The solution of the linear equation is x = -9
What is a linear equation?A linear equation is an equation in which the highest power of the unknown is one.
How to solve a linear equation?To solve a linear equation, we collect the like terms and them perform operations of addition, subtraction, multiplication and division to simplify the results and get the answer.
How to solve the linear equation?Since we have 8 - x = 26 + x
To solve the linear equation, we add + x to both sides. So,
8 - x + x = 26 + x + x
8 + 0 = 26 + 2x
8 = 26 + 2x
Next, we subtract 26 from both sides.
8 - 26 = 26 - 26 + 2x
-18 = 0 + 2x
-18 = 2x
Next, we divide both sides by 2. So, we have
2x = -18
x = -18/2
x = -9
So, the solution of the linear equation is x = -9
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Helppppp ur girl outtt
Answers
they are both proportional
A. 6.5 apples but you can't buy half a apple so 6 Apples
B. 10 hours
Solve the following equations, explain and check your solution.
2(x-3) -17=13-3(x+20)
Answers
2(x-3)-17=13-3(x+20)
2x-6-17=13-3x-60
2x-23=-3x-47
5x-23=-47
5x= -24
Answer:
x = -4.8
Step-by-step explanation:
What is 3-5 5-3 additive inverses and their properties to find the equivalent expression?
Answers
The additive inverse are;
For expression;
a) 3-5
Additive inverse = - 3 - (-5)
For expression;
b) 5 - 3
Additive inverse = - 5 - (-3)
What is additive inverse?
The Property of Additive Inverse states that the summation of a number and it's Additive inverse is zero.
The expressions are;
3 - 5 and 5 - 3
Now, The Property of Additive Inverse states that the summation of a number and it's Additive inverse = 0
And, An Additive inverse of a positive integer is a negative integer and vice versa.
For example: 7 - 7 = 0
Here, The additive inverse of 7 = -7
Since, For the question above, we are asked to use the additive inverses and their properties to find the equivalent expressions.
a) 3 - 5
Hence, Additive inverse = - 3 - (-5)
= -3 + 5
= 2
b) 5 - 3
Hence, Additive inverse = - 5 - (-3)
= - 5 + 3
= - 2
So, The additive inverse are;
For expression;
a) 3-5
Additive inverse = - 3 - (-5)
For expression;
b) 5 - 3
Additive inverse = - 5 - (-3)
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Answer:
3-5:
3+(-5)
-5+3
5-3:
-3+5
5+(-3)
Step-by-step explanation:
hope this helps ya (☆▽☆)
Why did Matt get upset when his teacher called him average?
Answers
please help me, i’ve been stuck on this for a while.
Answers
Answer:
x = 29
Step-by-step explanation:
Not sure if they meant actually 61 different numbers or just 2 numbers to make up 61, but I determined that -29 and 29 make up 61 because a negative plus a positive is always positive.
How does cancer affect the body of person
Answers
Answer:
Cancer can upset the normal chemical balance in your body and increase your risk of serious complications.
Answer:
Cancer can grow into,or begin to push on near by organs , blood vessels,and nerves. This pressure causes some of the signs and symptoms like fever, extreme tiredness or weight loss. This may be because cancer cells use up much of the body's energy supply.
4. A scientist needs 10 liters of a 20% acid solution for an experiment, but she has
only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how
many liters of the 5% and the 40% solutions should she mix to get the solution
she needs? Write and solve an equation to match the situation.
Equation:
Answers
The liters of the 5% and the 40% solutions that she should mix to get the solution she needs are 5.7 liters and 4.3 liters respectively.
How to illustrate the information?Let x be the of volume of the 40% solution, then the volume of 5% would be:
10 L = 40% solution volume+ 5% solution volume
10 L= x + 5% solution volume
5% solution volume = 10l-x
Then the volume calculation would be:
10 liter × 20% = x liter × 40% + (10- x) liter × 5% 10l * 20%
= x liter * 35% + 10 liter*5%
x liter *35
= 10l * 20 - 10l *5
= 10l*m × 15x liter
= 10l *15/35
= 4.28 L= 4.3L
The volume of 40% solution= 4.3L
The volume of 5% solution will be:
= 10L- 4.3L
= 5.7L
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3/4x + 9 = 0
Please help with this
Answers
I hope this picture helps
two number total 64 and have a difference of 30 find the two numbers
Answers
Answer:
47, 17
Step-by-step explanation:
Let the numbers be x and y. Then, x+y=64 and x-y=30. Adding these equations, we get 2x=94, and thus x=47.
It follows that y=17.
Evaluate the following expression when x=2
x3+7x+2=
A.24
B.22
C.10
D.9
Answers
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. The expression x3+7x+2 value is 24 when x=2. So option A is correct.
What is Expression?
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
The given expression is x^3+7x+2
Now we have to plug in x value as 2
=(2)^3+7*2+2
The value of 2^3 is 8 and 7*2 is 14
=8+14+2
Add 8, 14 and 2 to get the required solution.
=24
Therefore the expression x3+7x+2 value is 24 when x=2.
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