Answer:
2 -2 = 0
hope this helps <3
A 10m by 7m pond is going to be surrounded with a flower bed of uniform width. The combined area of the pond and flower bed will be 180m^2. Find the width of the flower bed.
The width of the flower bed is approximately 1.4m.
To solve this problem, we need to use the formula for the area of a rectangle: A = L x W, where A is the area, L is the length, and W is the width.
Let's start by finding the area of the pond:
A pond = 10m x 7m = 70m^2
Next, we need to find the total area of the pond and the flower bed combined. We are given that this area is 180m^2:
A total = A pond + A flower bed
\(180m^2 = 70m^2 + A flower bed\)
\(110m^2 = A flower bed\)
Now we can use the formula for the area of a rectangle again to find the width of the flower bed:
A flower bed = L x W
\(110m^2 = (10m + 2x) (7m + 2x)\)
\(110m^2 = 70m^2 + 20xm + 14xm + 4x^2\)
Simplifying and rearranging, we get:
\(4x^2 + 34xm + 40m^2 - 110m^2 = 0\)
\(4x^2 + 34xm - 70m^2 = 0\)
Dividing both sides by 2, we get:
\(2x^2 + 17xm - 35m^2 = 0\)
Now we can use the quadratic formula to solve for x:
\(x= \frac{-b±\sqrt{(x^{2})-4ac } }{2a}\)
Where a = 2, b = 17m, and \(c = -35m^2\).
Plugging these values in, we get:
\(x =\frac{ (-17m ± \sqrt{17(m)^{2}+280(m)^{2} } }{4}\)
\(x= \frac{(-17m ±\sqrt{697} )}{4}\)
Since the width of the flower bed can't be negative, we take only the positive root:
\(x= \frac{(-17m +\sqrt{697} )}{4}\)
x = 1.4m
Therefore, the width of the flower bed is approximately 1.4m.
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Angle A and angle B are complementary, and their measures
have a difference of 20°. What are the measures of the angles?
Answer:
35° and 55°
Step-by-step explanation:
Complementary angles sum to 90°
let one angle be x and the other x + 20 , then
x + x + 20 = 90
2x + 20 = 90 ( subtract 20 from both sides )
2x = 70 ( divide both sides by 2 )
x = 35°°
x + 20 = 35 + 20 = 55
The 2 angles are 35° and 55°
Help....20 points please
Answer:
triangle
Step-by-step explanation:
cause y=x and y=-x both are straight lines that go through the origin and y=3 is a straight line at y=3 forming a triangle
Please help!!
What is the probability that either event will occur?
8
A
3
B
10
12
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = [?]
Enter as a decimal rounded to the nearest hundredth.
Answer:
P(A or B) = 0.64
Step-by-step explanation:
You want the probability that A or B will occur, given the occurrence counts shown in the Venn diagram.
A or BThe formula shown in the diagram shows you how to compute the probability. It can be simpler than that.
The number of counts in the circles A or B is ...
8 + 3 + 10 = 21.
The total number of counts in the diagram is ...
21 +12 = 33
Then ...
P(A or B) = (counts of A or B)/(total counts) = 21/33 = 7/11 = 0.6363...
Rounded to hundredths, the probability is ...
P(A or B) = 0.64
__
Additional comment
If you use the formula, it tells you ...
P(A or B) = 11/33 +13/33 -3/33 = 21/33 ≈ 0.64
Note that we have added 3/33 to the sum twice and subtracted it once. The computation shown above eliminates the extra addition and subtraction.
<95141404393>
help fast plz The temperatures recorded one day at two cities are shown below: City L: −8° F City M: −9° F Which statement about the temperatures at the two cities is true? (5 points)
a City M was warmer than City L because −9° F −8° F.
c City M was colder than City L because −9° F > −8° F.
d City M was colder than City L because −9° F < −8° F.
Answer:
I mean c and d but you wrote this weirdly
Complete the following table with the statistics for your density calculations. Table view List view Calculatinne of vonlume delivered in earh trial Complete the following table with the statistics for your volume calculations. Report Table ME.4: Calculation of Volume Delivery Statistics Table view List view Density statistics for five objects Volume (mL) Average volume Standard deviation Coefficient of variation (CV) True volume 4.000 Absolute error \% error
The table provided requires the completion of statistics related to density and volume calculations for five objects.
What are the steps involved in calculating density and volume?Density Calculation:
To calculate density, we need to divide the mass of an object by its volume. The formula for density is:
\(\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \]\)
In this case, the table requires the density statistics for five objects. To obtain these statistics, you need to determine the density of each object using the given data and formulas.
The density values for the objects will then be used to calculate statistics such as average density, standard deviation, and coefficient of variation.
Volume Calculation:
To calculate the volume of an object, we typically use the formula that corresponds to the shape of the object. Different objects may require different formulas for volume calculation. In the given table, you are required to calculate the volume delivered in each trial.
To obtain the volume statistics for the five objects, you need to calculate the volume of each object using the given data and appropriate volume formulas. The volume values for the objects will then be used to calculate statistics such as average volume, standard deviation, and coefficient of variation.
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URGENT How to find the value of x
4x = 8
To find the value of x, we need to use division method.
Divide 8 from 4, we get:
8 ÷ 4 = 2
This means that we get:
x = 2Finally, recheck the answer by:
4(2) = 8
Hope this helps :)
4x = 8
First, you want to divide both sides by 4. So:
4x/4 = 8/4
If you don't get why, it's kind of like 1 = 1. You divide both sides so that the equation is still equal. 1 divided by 1 is equal to 1 divided by 1.
So, 4x/4 is x, and 8/4 is 2. So, x = 2.
I need help can anyone help me
Answer:
480 in^3
Step-by-step explanation:
If I'm wrong please correct me. I used the formula-lwh for each of the figures and then added them to find the sum.
Larger figure: 8 times 10 times 5
80 times 5=400
Smaller figure: 5 times 4 times 4
20 times 4=80
400 plus 80 equals 480 in^3
Hope I helped :)
A store sells apples and oranges. Apples cost 2. 0
Answer:
An apple costs $2? lol thats crazy
Julie has 400 books to sell.
Each book is Fiction or Non-fiction.
The ratio of the number of Fiction books to the number of Non-fiction books is 15:10.
Each book has a normal price of £10.
Julie reduces the price of all the Non-fiction books to half price.
Julie sells all 400 books.
Work out the total amount of money Julie will receive.
yall im done mathematics aint my thing.
The answer u should date me <3
I love you I’m ur biggest fan ;)
[PLEASE HELP ILL GIVE BRAINLIEST
PLEASE SHOW WORK
the diameter of your bicycle wheel is 25 inched. how far will you move in two truns your wheel use 3 for pie
Answer:
150 inches
Step-by-step explanation:
Using 3 for pie, PIE x D= C
3 x 25= 75
for two roatations you multiply 75 times 2 and you get...
150
Given parallelogram ABCD, diagonals AC and BD intersect at point E. AE=2x, BE=y+10, CE=x+2 and DE=4y−8. Find the length of BD.
Okay, according with the identities of parallelograms we have: AE=CE and BE=DE.
Replacing we obtain:
AE=CE
2x=x+2
2x-x=2
x=2
BE=DE
y+10=4y−8
10+8=4y-y
18=3y
y=18/3
y=6
And considering that BD=BE+DE, we got:
BD=(y+10)+(4y-8)=(6+10)+(4*6-8)=(16)+(24-8)=16+16=32
So, finally we obtain that the length of BD is 32 units.
Gina Wilson all things algebra Unit 6 Homework 5
The simplified monomials are:
-2a³b²xy(7 - 2x)3a⁷-x¹⁰k⁴15x⁷-12x⁵y⁵10b⁸/a³16y⁸a⁸b¹⁰c¹⁵d³/216c³1/64a⁷-576x¹¹y⁸64b¹⁵/a³c⁹3/d²3a⁴/2b-4x²yz³8y⁵/581x⁸/y¹²-5a³bLet's simplify each monomials we have.
3a³b² - 5a³b² = -2a³b² --> both exponents are already equal
5xy - 2x²y + 2xy = 7xy - 2x²y
= xy (7 - 2x)
-6w : -2w = 3
a⁴ . a³ = a⁽⁴⁺³⁾
= a⁷
(-x⁵)² = - x ⁽⁵ˣ²⁾
= - x¹⁰
k⁹ / k⁵ = k⁽⁹⁻⁵⁾
= k⁴
-5x³ . (-3x⁴) = 15x⁷
(-2x²y)² . (-3xy³) = (4x⁴y²) . (-3xy³)
= -12x⁵y⁵
2a⁻⁵b⁶ . 5a²b² = 10 a⁻³b⁸
= 10b⁸ / a³
(-4y⁴)² = 16y⁸
(a²bc³)⁴ . (b²c)³ = (a⁸b⁴c¹²) . (b⁶c³)
= a⁸b¹⁰c¹⁵
(6cd⁻¹)⁻³ = 1 / (6cd⁻¹)³
= (d/6c)³
= d³ / 216c³
(4a)⁻³ . a⁻⁴ = 1/(4a)³ . (1/a⁴)
= 1/64a³ . 1/a⁴
= 1/64a⁷
(3xy)² . (-4x³y²)³ = (9x²y²) . (-64x⁹y⁶)
= -576x¹¹y⁸
(4a⁻¹b⁵c⁻³)³ = (4b⁵ / ac³)³
= 64b¹⁵ / a³c⁹
9d⁸/3d¹⁰ = 3/d²
6a⁵b² / 4ab³ = 3a⁴/ 2b
32x³y²z⁵ / -8xyz² = -4x²yz³
(2y⁵)⁴ / 10y¹⁵ = 16y²⁰ / 10y¹⁵
= 8y⁵ / 5
(3x⁵y³ / x³y⁶)⁴ = (3x²/y³)⁴
= 81x⁸ / y¹²
(-6a⁵b)² - 8a³b = 36a¹⁰b² - 8a³b
12a⁷b 12a⁷b
= 3a⁵b - 8a⁵b
= -5a⁵b
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use a venn diagram to illustrate the relationship a ⊆ b and b ⊆ c.
Here is a Venn diagram illustrating the relationship between the sets a, b, and c, where a is a subset of b and b is a subset of c:
_______________
| c |
| |
| _________
| | |
| | b |
| | |
| |______ |
| | |
| a |__|
|_______________|
In this diagram, the set c is represented by the outer rectangle, the set b is the area inside the rectangle but outside the inner circle, and the set a is the area inside both the rectangle and the inner circle.
Since a is a subset of b, every element in a is also in b, and therefore the inner circle is entirely contained within the area representing b.
Similarly, since b is a subset of c, every element in b is also in c, and therefore the area representing b is entirely contained within the outer rectangle representing c.
This diagram shows that if a is a subset of b and b is a subset of c, then a is also a subset of c.
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(f)-3 =9 and g(-3) =2 find (f+g)(-3)
The value of f(-3) + g(-3) Or (f + g)(-3) is 11.
What is a composite function?When the output of one function is given to the input of another function they are called composite functions. In (fog)x which is [f{g(x)}] here the out of the function g(x) is the input of the function f(x).
Given, f(-3) is 9 and g(-3) is 2.
We know f(x) + g(x) = (f + g)(x).
∴ (f + g)(-3) = 9 + 2.
(f + g)(-3) = 11.
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Write an expression to represent the sum of three times the square of a number and -7.
In your expression, what is the value of the constant?
O A 3
OB. 1
Ос.
-7
o
D.
2
Answer:
C: -7
Step-by-step explanation:
In 3x^2-7, 3 is the coefficient, x is the variable, and -7 is the constant.
For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error ......... as the margin of error increases.
stays the same
increases
decreases
Population standard deviation, level of significance are same.
Margin of error increased.
With increase in margin of error sample size decreases.
By dividing the population's standard deviation by the sample size and then multiplying the resulting number by the crucial factor, the margin of error—a statistical expression used to estimate how much a result will deviate from the value of the full population—can be determined.
The standard deviation of the sample statistics, if we could take several samples of the same size, is the standard error.
Population standard deviation, level of significance are same.
Margin of error increased.
Margin of error increases leads to decrease in the sample size
as the margin of error is in denominator position in sample size formula. Hence with increase in margin of error sample size decreases.
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Triangle QRS is to be dilated using the rule D Subscript P, three-fourths.
Point P is the center of dilation. Triangle Q R S is shown. The length of P S is 8.
What will be the distance from the center of dilation, P, to the image S'?
2 units
4 units
6 units
8 units
The distance from the center of dilation, P, to.the image vertice S' is; 6 units.
What is the distance from the center of dilation, P, to the image S'?It follows from the task content that the center of dilation of the triangle QRS is point P and the length of segment PS in the pre-image is; 8 units.
Hence, since the dilation factor as given in the task content is; three-fourths, it therefore follows that the distance of point P to S' in the image is; (3/4) × 8 = 6units.
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If you see a variable by itself what number is actually there but is invisible?
Answer: 1
Step-by-step explanation:
Triangle LMN is similar to triangly XYZ. What is the length of YX?
Answer:
The same length as XY
Step-by-step explanation:
If they are similar, they are basically the same ;)!
Hope this helped!
Have a nice day!
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i need help this is dude tomorrow
7. What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes
from
(a) 6 to 12
(b) 5 to 8
hi there if you are there
please reply it is a very urgent assignment that I have to send it by today .
graph 4x-y=3 and 3x+y=4
Answer:
Step-by-step explanation:
Add and subtract the values. Express your answer in scientific notation.(6.15 times 10 Superscript 8 Baseline) minus (2.5 times 10 Superscript 7 Baseline) + (3.4 times 10 Superscript 9 Baseline)6.24 times 10 Superscript 87.05 times 10 Superscript 83.99 times 10 Superscript 94.04 times 10 Superscript 9
Solution
\(\left(6.15\cdot \:10^8\right)-\left(2.5\cdot \:10^7\right)+\left(3.4\cdot \:10^9\right)\)Now
\(=615000000-25000000+3400000000\)Add and subtract
\(=3990000000\)\(3.9\times10^9\)Directions: Solve for.x. Round all answers to the nearest tenth.
11
X
31°
X =
The solution is, The value of x is 21.4.
What is right-angle triangle?A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides. The foundation of trigonometry is the relationship between the sides and other angles of the right triangle.
here, we have,
The height of the right-angle triangle is 11. The hypotenuse of the right-angle triangle is x.
The measure of the angle opposite to height is 31°.
The sine of an angle is the ratio of height to the hypotenuse.
Therefore,
sin 31° = height/hypotenuse
sin 31° = 11/x
Multiply x with both sides:
x sin 31° = 11
Divide sin 31° with both sides:
x = 11/ sin 31°
x = 21.35
x ≈ 21.4 units
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1. Points C(2,5) and D(8,11) are given. Find the midpointof the segment CD.
Answer:
C=(x,y)
D=(1,12)
P=(4,0)
4=(x+1)/(2)
8=x+1
x=7
0=(y+12)/(2)
y=-12
C=(7,-12)
Step-by-step explanation:
dame 5 estrellas y corazon los necesito
I need the answer asap
Answer:
y=1/5x+7/5
Step-by-step explanation:
can someone plz help!!
Answer:
8.94427191...
Step-by-step explanation:
21*21 - 19*19 = \(x^{2} \\\\\)
441 - 361 = \(x^{2}\)
\(x^{2}\) = 80
x = 8.94427191...
The future amount due on a compound interest loan of $12,000 at 7% compounded semiannually for four years is approximately ____. If the compounding period is increased to monthly, the amount due on the loan would be approximately ____
Part a: Future amount due on a compound interest loan is $12271.78.
Part b: The amount due on the loan would be $12033.64, if the compounding period is increased to monthly.
Explain the term compounding?Compounding is the method through which interest is added to both the principle balance already in place and the interest that has already been paid. Thus, compounding can be thought of as interest on interest, with the result that returns on interest are magnified over time, or the so-called "magic of compounding."The formula for compounding is:
A = P(1 + r/100n)∧nt
P = $12,000
r = 0.07
Part a: compounded semiannually.
t = 4 years.
n = 2
A = 12000(1 + 0.07/100*2)∧2*4
A = 12000*1.00280
A = 12271.78
Thus, future amount due on a compound interest loan is $12271.78.
Part b:
t = 4 years.
n = 12
A = 12000(1 + 0.07/100*12)∧12*4
A = 12000*1.0028038
A = 12033.64
Thus, if the compounding period is increased to monthly, the amount due on the loan would be $12033.64.
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Answer: $15,802
$15,865
Step-by-step explanation: