SInce you need 1.5 feet of overhang, add 3 feet to each axis dimension 1.5 on each side):
Minor Axis = 18 + 3 = 21 feet
Major axis = 25 + 3 = 28 feet
The area of an ellipse is found by multiplying half the minor axis by half the major axis by PI.
1/2 minor axis = 21 / 2 = 10.5
1/2 major axis = 28 / 2 = 14
Using 3.14 for PI
Area = 10.5 x 14 x 3.14 = 147 x 3.14 = 461.6 sq ft
This problem is not as simple as it may appear at first. The area of an ellipse is ...
... A = πab
where a and b are the semi-axes.
Here, it looks like you're expected to choose these to be 1.5 ft longer than half the given axes, so the area of the pool cover is about ...
... A = π(9 ft + 1.5 ft)(12.5 ft +1.5 ft)
... A = 147π ft² ≈ 461.8 ft²
_____
However, adding 1.5 ft of material to an ellipse results in a shape that is not an ellipse, but is slightly larger than the ellipse with the dimensions used above. The area of that may be about 462.5 ft² (found numerically).
Will give brainliest and extra points omg help ! /:
(d)
This equation does not factor, but we can solve using the quadratic formula
x = ( - b ± √(b² - 4ac) )/ 2a
given the equation in standard form : ax² + bx + c = 0
divide through by - 1, to obtain
x² + 7x + 2 = 0
with a = 1, b = 7 and c = 2, then
x = ( - 7 ± √(49 - 8) ) / 2
= ( - 7 ± √41 ) / 2
x = - [tex]\frac{7}{2}[/tex] ± √41 / 2 → (d)
Use a model to solve. An average orange weighs 3/5 of a pound. Based on this average, how many oranges are in six pounds of oranges?
Nick is now seven times as old as Harry. In 6 years, Nick will be five times as old as Harry. How old will Harry be in 6 years? If x represents Harry's age now, then which of the following equations could be used to solve the problem? 5(7x + 6) = x + 6 7x = 5x + 6 7x + 6 = 5 (x + 6)
Answer:
7x+6 = 5(x+6)
Step-by-step explanation:
x represents Harry's age now, so 7x represents Nick's age now. (Nick is 7 times as old as Harry.)
In 6 years, Harry's age will be x+6.
In 6 years, Nick's age will be 7x+6, which is 5 times Harry's age at that time, 5(x+6). Hence an appropriate equation is ...
... 7x+6 = 5(x+6)
_____
Please note that finding the value of x does not give the answer to the question. We are asked for Harry's age in 6 years, so the answer is x+6 (=18).
Answer:
Its D) aka the last option
Step-by-step explanation:
Locating Zeros of Polynomial Function:
Approximate the real zeros of f(x)=2x^3-4x^2-3 to the nearest tenth
A graph shows that the best choice is ...
... b. 2.3
_____
Finding real roots of higher-degree polynomials is often done most easily with the help of a graphing calculator.
Q # 15 please Graph the equation .y = 4x - 3
Answer: Please, see the attached file.
Thanks.
Solution:
We can graph using the intercepts:
(1) y-intercept, when x=0
y=4x-3→y=4(0)-3→y=0-3→y=-3
Point=(x,y)=(0,-3)
(2) x-intercept, when y=0
y=4x-3→0=4x-3
Solving for x: Adding 3 both sides of the equation:
0+3=4x-3+3
3=4x
Dividing both sides of the equation by 4:
3/4=4x/4
3/4=x
x=3/4=0.75
Point=(x,y)=(3/4,0)=(0.75,0)
With these pair of points (0, -3) and (0.75,0) we can draw the right line
A ________ is a transformation that changes the size but not the shape of an image.
A.) rotation
B.) translation
C.) dilation
D.) reflection
C.) Dilation changes the size
PLZZZZZZZZZZZZZZZZZZZZ HELP IM IN A RUSH
If the answer is not a whole number, it should be entered as a decimal rounded to the hundredths place.
A photograph with a width of 5.5 inches is being enlarged by a factor of 4 1/2 to make a poster.
The new width of the photograph is ________
inches.
Answer:
24.75 i just had this question got it wrong but there's the correct answer
What is the Greatest Common Factor of x4 and x5?
x − x4
x3
x2
x
Answer: [tex]x^4[/tex]
Step-by-step explanation:
Here, the given expressions are,
[tex]x^4[/tex]
[tex]x^5[/tex]
The factors of [tex]x^4[/tex] = x × x × x × x
While, the factors of [tex]x^5[/tex] = x × x × x × x × x
Hence, the common factors = x × x × x × x = [tex]x^4[/tex]
So, the greatest common factor of the given expression is [tex]x^4[/tex]
Answer:
A. x4
Step-by-step explanation:
Use a drawing of counters to show 5 and then +7
red red red red red yellow yellow yellow yellow yellow yellow
hope this helps :)
PLEASE ANSWER WILL MARK BRAINLIEST AND GET POINTS (good grammar skills)
PLEASE SHOW ALL WORK!!! THANK YOU VERY MUCH!!! :)
The original price of a car is $3000. What is the new price if the original price is reduced by 10%?
the new price is reduced by 10% of $3000.
10% of $3000 is one tenth of 3000, so 3000/10 = $300
so the original price was reduced by $300 to be $2700
I just need help on number 11
0.57
Step-by-step explanation:Writing a percentage as a decimal is no big mystery. The percent symbol (%) is simply a shorthand way to write "per hundred" or "divided by 100" (/100).
So ...
... 57% = 57/100
You know from place value and the way you read numbers that fifty-seven hundredths written as a decimal is ...
... 0.57
Q # 9 help please:The table shows the height of a plant as it grows.What equation in point-slope form gives the plant's height at anytime? let y stand for the height of the plant in cm and let x stand for the time in months
Answer: First option. y-15=5(x-3)
Solution:
We can take any pair of points of the table. For example:
P1=(3, 15)=(x1, y1)→x1=3, y1=15
P2=(5, 25)=(x2,y2)→x2=5, y2=25
And we can find the slope m using the following formula:
m=(y2-y1)/(x2-x1)
m=(25-15)/(5-3)
m=(10)/(2)
m=5
Now we can apply the point-slope formula to find the equation of the right line:
y-y1=m(x-x1)
Replacing y1=15, m=5, and x1=3
y-15=5(x-3)
The equation in point-slope form that represents the plant's growth over time would be 'y - 9 = 3x', given that the y-intercept is 9 and the slope is 3.
Explanation:Based on the information given, it is clear that the y-intercept where the line intersects the y-axis is 9 and the slope of the line is 3. We know that y stands for the height of the plant and x for time in months. Using these values, the equation in point-slope form, which is normally written as y - y1 = m(x - x1) where m is the slope and (x1, y1) is a given point on the line, can be simplified assuming that x1=0 and y1 is our y-intercept which is 9.
Therefore, the equation of the line that represents the growth of the plant over time in point-slope form would be y - 9 = 3x.
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What is the inverse of the functionf(x)=2x+1
x = 2x + 1
x - 2x = 1
-x = 1
x = -1
Solution :
Given , function[tex]f(x) = 2x+1[/tex]
we have to find the inverse of the function f(x)
Substitute y for f(x): [tex] y=2x+1[/tex]
Subtract 1 from both sides, [tex]y-1=2x+1-1[/tex]
Divide both sides by 2, [tex]\frac{y-1}{2} = x[/tex]
[tex]\Rightarrow x=\frac{y-1}{2}[/tex]
Substitute [tex]f^{-1}(y)\:for\:x [/tex][tex]\RIghtarrow f^{-1}(y)=\frac{y-1}{2}[/tex]
Hence, The inverse of the function [tex]f(x)=2x+1\:is f^{-1}(y)=\frac{y-1}{2}[/tex]
When evaluating a complex expression which of the following rules should be followed?
Evaluate from left to right
Evaluate from right to left
Evaluate using order of operations
Evaluate in any order
Answer:
Evaluate from left to right
Evaluate using order of operations
Step-by-step explanation:
To evaluate any complex expression that contains addition, subtraction , multiply or divide, exponents , parenthesis etc we use order of operation.
Order of operation is PEMDAS
To evaluate , first we simplify the parenthesis part and then exponents
Then do the multiplication and division from left to right.
Finally we do addition and subtraction from left to right
So the rules for evaluating a complex expression is
Evaluate from left to right
Evaluate using order of operations
In a recent survey of 974 voters, 724 indicated that they were in favor of a new city park, while the other 250 voters said that they were opposed.
Using this survey as a basis, if 40,000 citizens vote next week, how many are likely to be opposed to the new park? Round to the nearest whole number.
10, 267
the fraction of voters opposed from the survey = [tex]\frac{250}{974}[/tex]
Assuming this fraction as a basis then the predicted number against will be
40, 000 × [tex]\frac{250}{974}[/tex] = 10, 267 ( nearest while number )
A and B received a total of $210,000 from a deceased relative's estate. They decided to put away $50,000 in a trust for their child and divide the remainder into ¼ for B and ¾ for A. How much will A receive?
Initial amount: $210,000
Setting aside: $50,000
Remaining: $160,000
3/4 of remaining amount: 160,000 times 0.75 = $120,000
1/4 of remaining amount: 160,000 times 0.25 = $40,000
Match the vocabulary word with the correct definition. 1. circle circles that have equal radii 2. radius a segment joining the center of a circle to a point of the circle 3. diameter the set of all points in a plane that are at a given distance from a given point in the plane 4. congruent circles two or more circles that lie in the same plane an have the same center 5. concentric circles a chord of a circle that contains the center of the circle
Answer:
1 - Circle 2 - Concentric 3 - Congruent 4 - Diameter 5 - Radius
Step-by-step explanation:
1. the set of all points in a plane that are at a given distance from a given point in the plane
Circle
2. two or more circles that lie in the same plane and have the same center
Concentric Circles
3. circles that have equal radii
Congruent Circles
4. a chord of a circle that contains the center of the circle
Diameter
5. a segment joining the center of a circle to a point of the circle
Radius
The given vocabulary words are all related to the concept of circles in mathematics. Each term is defined in respect to a characteristic or property of a circle. The terms covered were circle, radius, diameter, congruent circles and concentric circles.
Explanation:The vocabulary words match with the correct definitions as follows:
A circle is defined as the set of all points in a plane that are at a given distance from a given point in the plane. The term radius refers to a segment joining the center of a circle to a point of the circle. The diameter is a chord of a circle that contains the center of the circle. Congruent circles are circles that have equal radii. Finally, concentric circles are two or more circles that lie in the same plane an have the same center. Learn more about Circle Vocabulary here:
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Landau has some nickels,dimes,amd quarters. The number of dimes is 3 more than 7 times the number of nickels. The number of quarters is 4 less than 2 times the number of nickels. The total value of the coin is 330 cents. Write and solve an equation of each type of the coin
This question is one where the numbers don't add up. You should ask your teacher to show you how to work it.
___
Let n, d, q represent the numbers of nickels, dimes, and quarters Landau has, respectively.
... d = 7n +3 . . . . . the number of dimes is 3 more than 7 times the number of nickels
... q = 2n -4 . . . . . the number of quarters is 4 less than 2 times the number of nickels
... 5n +10d +25q = 330 . . . . the total value of the coins is 330 cents
Using the first two equations to substitute into the last one, we get
... 5n +10(7n +3) +25(2n -4) = 330
... 125n -70 = 330 . . . . . . eliminate parentheses, collect terms
... n = 400/125 . . . . . . . . add 70, divide by 125
... n = 3.2
... d = 7·3.2 +3 = 25.4
... q = 2·3.2 -4 = 2.4
Landau has 3.2 nickels, 25.4 dimes, and 2.4 quarters.
Question 3
What is the value of the expression?
4!(7 – 4)!
A.) 5040
B.) 479,001,600
C.) 120,384
D.) 144
4!(7 – 4)! is equivalent to (4!)(3)!
3! = 3*2*1 = 6, and 4! = 4(6) = 24.
Thus, 4!(7 – 4)! = 24(6) = 144
what is 13 divided by eleven thousand eighty nine
Use the distributive property to simply 27-9x+15y
Distributive property: ⇒ a(b+c)=ab+ac
First you had to rewrite down as the nine and its should be three times three is equal to nine. Then you rewrite down as the twenty-seven and its should be nine times three is equal to twenty-seven. Next, you rewrite down as fifteen and its should be five times three is equal to fifteen.
And it gave us ⇒ [tex]=5*3y+9*3-3*3x[/tex].
Then you had to factor out by the common term of three.
And it gave us ⇒ [tex]3(5y+9-3x)[/tex]
Final answer ⇒ [tex]\boxed{=3(5y+9-3x)}[/tex]
Hope this helps!
And thank you for posting your question at here on brainly, and have a great day.
-Charlie
All 3 terms have a common factor 3 which we can take out
=3 ( 9 - 3x + 5y )
Writing two column proofs
Given: BC bisects. ABD M ABD =52° prove: mABC=26°
An angle bisector divides the angle into equal halves.
Given that:
[tex]\angle ABD = 52^o[/tex]
From the question, we understand that:
BC bisects [tex]\angle ABD[/tex]
This means that:
[tex]\angle ABD = 2 \times \angle ABC[/tex] ---- By definition of midpoint
So, we have:
[tex]52^o= 2 \times \angle ABC[/tex] ---- By substitution property
Divide both sides by 2
[tex]26^o= \angle ABC[/tex] ---- By division property of equality
So, we have:
[tex]\angle ABC = 26^o[/tex] --- By symmetric property of equality
Hence,
[tex]\angle ABC = 26^o[/tex] --- proved
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To prove that m∠ABC = 26°, we can use the fact that BC bisects ∠ABD (given) and the properties of angles.
Explanation:To prove that m∠ABC = 26°, we can use the fact that BC bisects ∠ABD (given) and the properties of angles. Here is a step-by-step proof:
Given: BC bisects ∠ABD (angle bisector)m∠ABD = 52° (given)From the angle bisector theorem, we know that m∠ABC = m∠CBD (angles formed by the angle bisector are congruent)Therefore, m∠ABC = m∠CBD = 26° (since m∠ABD = 52°)Therefore, we have proven that m∠ABC = 26°.
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ABCD is a parallelogram.
Use a system to find x and y
if AB= 6x+30,.
BC=2x-5,
CD=2y-10,
and AD=y-35
Opposite sides of a parallelogram are equal lengths, so ...
... AB = CD
... 6x +30 = 2y -10
and
... BC = AD
... 2x -5 = y -35
_____
The equations can be put in standard form to get
... 3x -y = -20
... 2x -y = -30
Subtracting the second from the first, we get
... x = 10
Solving for y, we have
... y = 2x+30 = 2·10 +30 = 50
The values of x and y are x=10, y=50.
_____
AB = 6x+30 = 90
BC = 2x-5 = 15
Find the circumference of a circle with diameter 7.3 m Use the pi key on your calculator and round your answer to the nearest tenth
Answer:
22.9 m
Step-by-step explanation:
Circumference = π × diameter
Using a calculator to evaluate 7.3π, we get 22.933626...
Rounding this to the nearest tenth gives 22.9. Units are meters.
The circumference of a circle with a diameter of 7.3m is approximately 22.9 meters.
Explanation:The circumference of a circle is calculated by using the formula C = πd, where 'C' is the circumference and 'd' is the diameter. Given that the diameter of the circle is 7.3 m, you can plug this value into the formula to find the circumference.
So, C = π × 7.3
To find the circumference of a circle with diameter 7.3m, we can use the formula C = π x d, where C is the circumference and d is the diameter. Plugging in the given value, we get C = 3.14 x 7.3 = 22.922. Rounding to the nearest tenth, the circumference is approximately 22.9 meters.
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The height of an ostrich is 20 inches more than 4 times the height of a kiwi .if an ostrich is 108 inches rall,how tall is a kiwi
What is the answer of -3 2/3 + 1.1 as a fraction?
What is the perimeter of the triangle shown on the coordinate plane, to the nearest tenth of a unit?
14.6 units
15.5 units
21.0 units
21.6 units
21.6 units
Calculate the length of the 2 inclined sides using the distance formula
d = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, 4 )
d = √(3 + 3 )² + (4 - 3)² = √(36 + 1 ) = √37
repeat for (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, - 3 )
d = √(3 + 3 )² + (- 3 - 3 )² = √(36 + 36 ) = √72
the vertical side has a length of 7 units
perimeter = √37 + √72 + 7 = 21.6 ( nearest tenth of a unit )
The perimeter of the triangle shown on the coordinate plane is 15.5 units
The perimeter of the triangle is the sum of the lengths of its three sides. To find the lengths of the sides, we can use the distance formula:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
The coordinates of the three points are:
A = (0, 0)
B = (10, 0)
C = (5, 10)
The length of side AB is:
distance from A to B = sqrt((10 - 0)^2 + (0 - 0)^2) = sqrt(10^2) = 10
The length of side BC is:
distance from B to C = sqrt((5 - 10)^2 + (10 - 0)^2) = sqrt((-5)^2 + 10^2) = sqrt(125) = 5 \sqrt{5}
The length of side AC is:
distance from A to C = sqrt((5 - 0)^2 + (10 - 0)^2) = sqrt(5^2 + 10^2) = sqrt(125) = 5 \sqrt{5}
Therefore, the perimeter of the triangle is:
perimeter = AB + BC + AC = 10 + 5 \sqrt{5} + 5 \sqrt{5} = 10 + 10 \sqrt{5}
To the nearest tenth of a unit, the perimeter of the triangle is 15.5 units.
Therefore, the answer is 15.5 units.
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1st term in sequence is 6-4th term is -6, the 8th term is -22 write a function that can be used to find the nth term of the sequence
EXPLANATION
The nth term of the sequence is given by
[tex]U_n=a+(n-1)d [/tex]
Where
[tex]a[/tex]
is the first term and
[tex]d[/tex]
is the constant difference.
We were given that,
[tex]a=6[/tex]
S we just need the common difference to write the nth term.
We can get that from another information given to us.
We were also given that the 4th term is 6. This gives the equation.
[tex]a+3d=-6[/tex]
We substitute
[tex]a=6[/tex]
to obtain
[tex]6+3d=-6[/tex]
Or
[tex]2+d=-2[/tex]
This implies,
[tex]d=-2-2[/tex]
[tex]d=-4[/tex]
We substitute these values into the general formula to obtain,
[tex]U_n=6+(n-1)\times-4[/tex]
This gives us,
[tex]U_n=6+-4n+4[/tex]
[tex]U_n=10-4n[/tex]
Hence the nth term of the sequence is,
[tex]10-4n[/tex]
[tex]a_{n}[/tex] = 10 - 4n
this is an arithmetic sequence with n th term
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1 )d
where [tex]a_{1}[/tex] is the first term and d the common difference
given [tex]a_{4}[/tex] = - 6, then
6 + 3d = - 6 ( subtract 6 from both sides )
3d = - 12 ( divide both sides by 3 )
d = - 4 ← common difference hence
[tex]a_{n}[/tex] = 6 - 4 (n - 1 ) = 6 - 4n + 4 = 10 - 4n
A manufacturer of sunglasses currently sells one type for $15/pair. The price p and the demand x are related by x=9500-250p.
A) at this price, is the demand inelastic or elastic.
B) should the price be increased or decreased to increase revenue?
A) The price elasticity of demand is given by
... Ed = (dx/dp)·(p/x)
... = -250·(15/(9500-250·15)) ≈ -0.652
B) This value has a magnitude less than 1, so price can be increased to increase revenue.
_____
The price at which Ed has a magnitude of 1 is ...
... 250p/(9500 -250p) = 1
... 250p = 9500 -250p
... 500p = 9500
... p = 9500/500 = 19
Revenue will increase as price increases up to $19 per pair.
Help ASAP plsssssssssss
Substitute the value of the variable into the expression and simplify.
1. 24
2. 17