The density in trees per acre upon completion will be 500 trees per acre.
How to calculate the densityIn this scenario, let's say the landscaping provider donates 2750 seedlings.
Density of trees per acre = Total number of trees / Total area of land
Hence, applying the formula leads us to:
Density of trees per acre = 2750 trees / 5.5 acres
The answer comes out to be roughly around 500 trees/acre. So when completed, approximately 500 trees are estimated to be present in each acre of the landscape.
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does 2, 5, and 7 make a right triangle
Answer: No, we don't have a right triangle
==========================================================
Explanation:
If a triangle with sides a,b,c makes the equation a^2+b^2 = c^2 true, where c is the longest side, then this triangle is a right triangle. This is the converse of the pythagorean theorem.
Here we have a = 2, b = 5 and c = 7.
So...
a^2+b^2 = c^2
2^2+5^2 = 7^2
4+25 = 49
29 = 49
The last equation is false, so the first equation is false for those a,b,c values. Therefore, we do not have a right triangle.
------------
In contrast, consider the classic 3-4-5 right triangle
a = 3, b = 4 and c = 5 would make a^2+b^2 = c^2 true because 3^2+4^2 = 5^2 is a true equation (both sides lead to 25).
How much interest is earned in 2 years
on an investment of $2,000. The interest
rate is 3%.
A $60
C$600
B$120
D $1,200
Answer: A
Step-by-step explanation:
A factory needs 175 feet of wire to wrap all the deliveries they will send out for a new on
housing project.
They have the following lengths of wire already:
2 pieces of wire that are each 12 yards in length1 piece of wire that is 65.4 feet in lengthHow much additional wire, in feet, does the factory need in order to wrap the deliveries?
A. 85.6
B. 37.6
C. 97.6
D. 312.4
The additional wire, in feet, that the factory needs in order to wrap the deliveries would be = 37.6 feet
That is option B.
How to calculate the remaining length of wire needed in the factory?The total length of wire needed in the factory to wrap up all the deliveries for the house project = 175 ft.
The lengths of wires available = 2 × 12 yrd = 24 yrd.
But 1 yard = 3 foot
24 yards = X
Make X the subject of formula;
X = 24×3 = 72 ft
The second wire available = 65.4 ft
To calculate the remaining wire first add all the available wire. That is;
= 72+65.4 = 137.4ft
Subtract fro the total wire;
= 175-137.4 = 37.4 feet.
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I will mark you brainiest!
What is the length of EF?
A) 2.4
B) 3.8
C) 0.5
D) 1.2
Answer: 2.4
Step-by-step explanation: Given the angles below, the length of EF will be 2.4
Answer:
B) 3.8.
EF = 3.8
Use the law of sines to find the unknown length EF
Help please!!!!!!!!!!!!!!
Answer:
Negative
Step-by-step explanation:
Slope is negative since as x increases, y decreases.
Find the area of the region
The area of the region that lies inside the circle r = cosθ and outside the cardioid r = 1 - cosθ is √3 - π/3.
What is the area of the region that lies inside the circleTo find the area of the region that lies inside the circle r = cosθ and outside the cardioid r = 1 - cosθ, we can integrate the difference between the areas of the two curves.
First, we can find the bounds of integration by setting the two curves equal to each other:
cosθ = 1 - cosθ
2cosθ = 1
cosθ = 1/2
θ = π/3, 5π/3
The area of the region can then be found by integrating the difference between the areas of the two curves with respect to θ from π/3 to 5π/3:
A = ∫[π/3, 5π/3] (1/2 (1 - cosθ)^2 - 1/2 cos^2θ) dθ
Simplifying the integrand, we get:
A = ∫[π/3, 5π/3] (1/2 - cosθ/2 - 1/2cos^2θ) dθ
A = ∫[π/3, 5π/3] (1/2 - cosθ/2 - 1/4(1 + cos2θ)) dθ
A = ∫[π/3, 5π/3] (3/4 - cosθ/2 - 1/4cos2θ) dθ
Using the trigonometric identity cos2θ = 2cos^2θ - 1, we can simplify the integrand further:
A = ∫[π/3, 5π/3] (3/4 - cosθ/2 - 1/8(2cos^2θ - 1)) dθ
A = ∫[π/3, 5π/3] (11/8 - 1/16cos^2θ - cosθ/2) dθ
Integrating with respect to θ, we get:
A = [11/8θ - 1/48sin2θ - 1/2sinθ] [π/3, 5π/3]
A = (11/4π - √3/8 - 1/2) - (11/12π + √3/24 - 1/2)
A = √3 - π/3
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The average daily balance of a credit card for the month of November was $700, and the unpaid balance at the end of the month was $1,400. If the annual percentage rate is 15.6% of the average daily balance, what is the total balance on the next billing date December 1? Round your answer to the nearest cent.
Answer:
Step-by-step explanation:
To calculate the total balance on the next billing date, we need to consider the average daily balance and the unpaid balance from the previous month.
Given:
Average daily balance for November = $700
Unpaid balance at the end of November = $1,400
Annual percentage rate (APR) = 15.6%
Step 1: Calculate the interest charged for the month of November.
Interest = (Average daily balance * APR * Number of days in the month) / 365
Number of days in November = 30
Interest = (700 * 0.156 * 30) / 365 = $36.44 (rounded to the nearest cent)
Step 2: Add the interest to the unpaid balance to get the total balance on December 1.
Total balance = Unpaid balance + Interest
Total balance = $1,400 + $36.44 = $1,436.44
Therefore, the total balance on the next billing date, December 1, is $1,436.44 (rounded to the nearest cent).
The total balance on the next billing date December 1 is $1,509.20.
What is an annual percentage rate?The annual interest produced by a sum that is paid to investors or charged to borrowers is referred to as the annual percentage rate (APR).
Given,
The average daily balance of a credit card for November = is $700Unpaid balance at the end of the month = $1,400The annual percentage rate = 15.6%Then, the percentage rate for November = \(\sf\frac{15.6}{100}\) × 700
\(\sf = \$109.20\)
Balance on 1st December = unpaid balance at the end of November + percentage rate
\(\sf = $1400 +$109.20\)
\(\sf =\$1509.20\)
Therefore, the total balance on the next billing date December 1 is $1,509.20.
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25 POINTS!! A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random.
What is the approximate probability that exactly three of the cards are diamonds?
1%
4%
11%
44%
Please give an explanation. Thanks!
Workout the median 6266 6626 6622 6226 6662 6222 7466
Answer:
Step-by-step explanation:
the median would be 2,2 just the middle number/numbers if it has 1 # thats the median if it has 2 thats still the median
7 numbers middle is 6226
-2 1/2 - (-1 3/4) ?
Answer:
- 3/4
Step-by-step explanation:
-2 1/2 - (-1 3/4)
Subtracting a negative is like adding
-2 1/2 + (1 3/4)
Get a common denominator of 4
-2 2/4 + 1 3/4
The signs are different so we subtract and take the sign of the larger
2 2/4 - 1 3/4
Borrowing from the 2
1 4/4 + 2/4 - 1 3/4
1 6/4 - 1 3/4
3/4
2 2/4 was larger and it was negative so we add a negative sign
- 3/4
For a géometric sequence, if a1=9 and a5
=2304, what is the value of r?
The value of common ration r is 4.
Given that,
a₁ = 9
a₅ = 2304
We know that,
A geometric sequence is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.
The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.
Since we know that nth term of GP is,
\(a_{n}\) = a₁ \(r^{n-1}\)
Therefore,
a₅ = a₁ \(r^{4}\) = 2304
⇒ 9 x \(r^{4}\) = 2304
⇒ \(r^{4}\) = 256
⇒ r = 4
Hence, r = 4
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(a\(x^{2} x^{2} 3\)
Answer:
\(3a {x}^{4} \)
Step-by-step explanation:
remeber that idical laws
\( {x}^{a} \times {x}^{b} = {x}^{a + b} \)
show full solutions.15. Name the indicated parts of this diagram.
Given:
A circle with a center at C.
Required:
We need to find the names of the given parts.
Explanation:
Recall that radius is a line segment extending from the center of a circle to the circumference.
Line segment AC extends from the center C of a circle to the circumference.
\(AC=Radius\)Recall that the arc of a circle is defined as the part of the circumference of a circle.
AE is the part of the circumference of a circle.
\(AE=Arc\)Recall that a straight line segment joins and is included between two points on a circle.
D and E are two points on a circle.
A straight line DE line segment joins and is included between two points D and E on a circle.
\(DE=Chord\)Recall that meeting a curve or surface in a single point if a sufficiently small interval is considered a straight line tangent to a curve.
AB is tangent.
\(AB=Tangent\)Recall that an inscribed angle is an angle with its vertex "on" the circle, formed by two intersecting chords.
\(\measuredangle ADE=\text{ Inscribed angle.}\)Recall that a central angle is an angle formed by two radii with the vertex at the center of the circle.
\(\measuredangle ACE=\text{ Central angle}\)Recall that an angle formed by an intersecting tangent and chord has its vertex "on" the circle.
\(\measuredangle\measuredangle CAB=\text{ Tangent Chord Angle}\)Final answer:
\(AC=Radius\)\(AE=Arc\)\(DE=Chord\)\(AB=Tangent\)\(\measuredangle ADE=\text{ Inscribed angle.}\)\(\measuredangle ACE=\text{ Central angle}\)\(\measuredangle\measuredangle CAB=\text{ Tangent Chord Angle}\)PLEASE HELP ME if m<2 =38° , then what is m<1?
Answer:
Answer is 142 hope it helps
Suppose the weather forecast calls for a 60% chance of rain each day for the next 3 days. What is the probability that it will NOT rain during the next 3 days
Answer:
Probability that it'll not rain during the next three days = 0.064
Step-by-step explanation:
Given
Let:
P(R) represent the probability that it'll rain each day
P(R') represent the probability that it'll not
\(P(R) = 60\%\)
Required
Probability that it'll not rain during the next three days
From concept of probability;
\(P(R) + P(R') = 1\)
Substitute 60% for P(R)
\(60\% + P(R') = 1\)
Subtract 60% from both sides
\(60\% - 60\% + P(R') = 1 - 60\%\)
\(P(R') = 1 - 60\%\)
Convert % to decimal
\(P(R') = 1 - 0.6\)
\(P(R') = 0.4\)
The probability that it'll not rain during the next 3 days is:
\(P(R') * P(R') * P(R')\)
\(P(R') * P(R') * P(R') =0.4 * 0.4 * 0.4\)
\(P(R') * P(R') * P(R') = 0.064\)
HOW DO YOU DO THIS PLEASE EXPLAIN
Answer:
70 degrees
Step-by-step explanation:
it’s a bit hard to explain
Hii please answer i would appreciate it thankssss
Answer:
Just some background:
Congruent means that a triangle has the same angle measures and side lengths of another triangle.
SAS congruence theorem: If two sides and the angle between these two sides are congruent to the corresponding sides and angle of another triangle, then the two triangles are congruent. Congruent triangles: When two triangles have the same shape and size, they are congruent.
Let's look at A first.
The triangle on left, we know 40 and 30 degree angles. So 3 all angles together = 180, so the 3rd angle = 180-30-40 = 110.
Now look at the triangle on the right. The angle shown is 110! This angle is between the sides marked with || and ||| marks, indicating that those two sides are the same length between both triangles.
Therefore both triangles are the same by Side-Angle-Side or SAS.
Now look at B.
It's a right triangle. We are missing 1 side of each triangle.
Let's solve for the missing "leg" of the triangle on the right. The pythagorean theorem says that a^2 + b^2 = c^2 where a and b are the 'legs' or sides of the triangle and c is the hypotenuse (always the longest length opposite the right angle).
so 2^2 + b^2 = 4^2
4 + b^2 = 16
b^2 = 16-4
b^2 = 12
That missing side is the \(\sqrt{12}\).
This does NOT match the triangle on the left.
Theses two triangles are NOT congruent.
FOR 100 POINTS!!!!!!!!!!!
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:
Likes hamburgers Does not like hamburgers Total
Likes burritos 29 41
Does not like burritos 54 135
Total 110 205
Part A: What percentage of the survey respondents liked neither hamburgers nor burritos? Show all work. (3 points)
Part B: What is the marginal relative frequency of all customers who like hamburgers? Show all work. (3 points)
Part C: Is there an association between liking burritos and liking hamburgers? Use ratios of joint and marginal frequencies to support your answer. (4 points)
Answer:
Part A:
To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.
Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135
Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54
Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189
Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100
Percentage = (189 / 205) x 100 = 92.2%
Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.
Part B:
To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.
Frequency of "Likes hamburgers" = 110 (given)
Total respondents = 205 (given)
Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents
Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%
Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.
Part C:
To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.
Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)
Marginal frequency of "Likes hamburgers" = 110 (given)
Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)
To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:
Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")
Ratio = 29 / (110 x 70)
Ratio ≈ 0.037 (rounded to three decimal places)
finding missing angles in triangles worksheet answers house
Step-by-step explanation:
What exactly are you looking for?
if Jill's age is 84 and johns age is 21 how many years ago was Jill 10 times older than john
PLEASE ANSWER THIS QUESTION
(WARNING : I ASK YOU GUYS FOR THE LAST TIME, I CAN'T DOWNLOAD ANYTHING BECAUSE MY COMPUTER IS WEIRD SO PLEASE DON'T TELL ME TO DOWNLOAD THE ANSWER AND JUST GIVE ME THE ANSWER PLEASE)
Given regular pentagon ABCDE, what are the coordinates of vertex C?
a) (b, c)
b) (b, -c)
c) (-b, c)
d) (-b, -c)
Answer: a
Step-by-step explanation: C is in quadrant 1 and quadrant 1 is (+,+)
The coordinate of the point C will be (b, c). Then the correct option is A.
What is regular pentagon?The polygon which is having five sides and each side are congruent. And each internal angle of the Pentagon will be of 108 degrees.
The pentagon ABCDE with the coordinate of A, B, C, D, and E are given below.
If a line intersect the shape and the shape look identical on both sides of line, then the line is known as axis of symmetry.
In a regular pentagon, there are five line of symmetry.
In the figure, the y-axis is the axis of symmetry and the axis of symmetry is passing through the point D.
The point C is in the first coordinate, then the abscissa and ordinate will be positive.
Then the coordinate of the C will be (b, c).
Then the correct option is A.
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Please help me i need help.
Answer:
5x+7 > 17 matches with 3.
1+3x > -5 matches with 2.
2x+1 < 3 matches with 1.
5-3x > 11 matches with 4.
Step-by-step explanation:
Based on the illustration, what is the relationship between angle 1 and angle 3?
1. They are complementary.
2. They are congruent angles.
3. They are supplementary.
4. They form a right angle.
Answer: 2. They are congruent angles.
Step-by-step explanation:
Angle 1 and angle 3 are vertical angles. In other words, they are "opposite" each other.
Vertical angle pairs are congruent angles, meaning the answer to this question is;
2. They are congruent angles.
Answer: They are congruent angles.
Step-by-step explanation: Complementary means the two angles equal 90°, supplementary angles are next to each other and equal 180° together, and it's obviously not a right angle, (angle that equals 90°) so we know they are congruent angles (this means that they are the same)
hope this helps!
please give brainliest!
HELPPP PLEASE!!!!!!!!!
John wants to evaluate the expression (5 + 3)^2.
As a first step, he writes 5^2+ 3^2. Will he get the correct value for the
expression? If not, what should he do to evaluate the expression?
Please help write the correct answer.
Answer:
5+3 x 2=64
Step-by-step explanation:
(5+3) x 2 5^2+3^2=34 not 64
8 x 2 = 64
Answer:
64
Step-by-step explanation:
Hope this helped
A building is 864 inches (in) tall. How many feet (ft) is this?
Answer:
72 ft.
Step-by-step explanation:
12 inches = 1 foot
Answer:
72 feet
Step-by-step explanation:
math calculator
Which is the value of this expression when a = negative 2 and b = negative 3? (StartFraction 3 a Superscript negative 3 Baseline b squared Over 2 a Superscript negative 1 Baseline b Superscript 0 Baseline EndFraction) squared
Answer:
27/8
Step-by-step explanation:
You seem to want to evaluate ...
\(\dfrac{3a^{-3}b^2}{2a^{-1}b^0}\)
I like to simplify the expression first, even though the order of operations would have you evaluate it as is.
\(=\dfrac{3}{2}a^{-3-(-1)}b^{2-0}=\dfrac{3b^2}{2a^2}\)
Substitute the given values for "a" and "b" and do the arithmetic.
\(=\dfrac{3(-3)^2}{2(-2)^2}=\dfrac{3\cdot 9}{2\cdot 4}=\boxed{\dfrac{27}{8}}\)
Que números multiplicados dan 30 y sumados dan 11
Answer:
5, 6
Step-by-step explanation:
Answer:
Los números son:
6 y 5
Step-by-step explanation:
Planteamiento:
a * b = 30
a + b = 11
Desarrollo:
De la segunda ecuación del planteamiento:
a = 11-b
Sustituyendo esta última ecuación en la primer ecuación del planteamiento:
(11-b)*b = 30
11*b + b*-b = 30
11b - b² - 30 = 0
-b² + 11b - 30 = 0
b = {-11±√((11²)-(4*-1*-30))} / (2*-1)
b = {-11±√(121-120)} /-2
b = {-11±√1} / -2
b = {-11±1} / -2
b₁ = {-11-1} / -2 = -12/-2 = 6
b₂ = {-11+1} / -2 = -10/-2 = 5
Comprobación:
6*5 = 30
6+5 = 11
How many even numbers are between 1 and 30. My head hurts thanks
Answer:
15
Step-by-step explanation:
2
4
6
8
10
there are 5 between 1-10
so 3*5=15 between 1-30
Answer:
15
Step-by-step explanation:
my head hurts too