Answer:
87.0%
Step-by-step explanation:
If we rewrite what is given we get that 3450 out of the 3966 students are taking math. Putting this into a fraction we get that:
\(\frac{Students-taking-math}{total-amount-of-students} = \frac{3450}{3966}\)
Putting this in a basic calculator of any kind we find that this is equal to:
0.8698941
This is the fraction as a number, so to get it as a percentage we just have to multiply by 100%:
0.8698941 · 100% = 86.98941% ≈ 87.0%
Which expression is equal to -12 1/2 + 5 3/4
Answer: A
Step-by-step explanation:
It wants you to make it an in improper fraction
Select the correct answer from the drop-down menu. The missing term in the denominator is
Answer: where is the answer choices
Step-by-step explanation:
Is it SSS, SAS, ASA, SAA, or HL?
Answer:
it’s SAA
Step-by-step explanation:
ur wlcm, i am sure of my answer
brainliest please?
Find the volume of the composite solid (STEP BY STEP PLEASE) 15 POINTS
Simplifying 6(x+4)2/3x(x+4)
Answer:
\(\dfrac{2(x+4)}{x}\) or \(2 + \dfrac{8}{x}\)
Step-by-step explanation:
Rewrite the problem as a fraction.
\(\dfrac{6(x+4)^2}{3x(x+4)}\)
Then, represent the squared term on the top as two values to make it easier to cancel.
\(\dfrac{6(x+4)(x+4)}{3x(x+4)}\)
Now, cancel an x+4 from the top and bottom.
\(\dfrac{6(x+4)}{3x}\)
Finally, divide the numerator and denominator by 3.
\(\dfrac{2(x+4)}{x}\) or \(2 + \dfrac{8}{x}\)
\(\bf{\dfrac{6(x+4)2}{3x(x+4)} \iff \ Eliminate \ (x+4).}\\ \\ \bf{That\:is, isolating\:the \ common \ factor \ \dfrac{\not{6}\times2 }{\not{3}x} \ \--\to\dfrac{2\times2}{x}=\dfrac{4}{x} } \\ \\ \boldsymbol{\sf{\dfrac{4}{x} }}\bf{\iff}\boxed{\boxed{\bf{Answer}}}\)
write each info entire radical √48
The value of the radical √48 is 4√3.
Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.
Here, we are given the radical √48
To find the value of the radical, we will factorize 48
i.e., 48 = 2×2×2×2×3
= 16×3
Now, the square root of 48, that is, √48
= \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)
We know 16 is a perfect square of 4, that is, the square root of 16= 4
⇒√16=4
Using this, we have √48= 4√3
The correct answer is 4√3.
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» How many digits will be in the quotient?
39)4,641
Answer:
There will be three digits in the quotient.
Step-by-step explanation:
The answer would be 119. Hope this helped ^^✨
Solve the system.
2x + y + 3z = 20
X + 2y - z = -11
3x - 2z = -3
Enter your answer as an ordered triple.
The solution to the system, as an ordered triple is: (3, -4, 6).
How to Solve a System of Equations?To solve the following given system of equations:
2x + y + 3z = 20 --> eqn. 1
x + 2y - z = -11 --> eqn. 2
3x - 2z = -3 --> eqn. 3
Multiply equation 1 by 2 to get eqn. 4:
4x + 2y + 6z = 40 --> eqn. 4
Subtract eqn. 4 from eqn. 2:
x + 2y - z = -11 --> eqn. 2
4x + 2y + 6z = 40 --> eqn. 4
-3x - 7z = -51 --> eqn. 5
Add equations 3 and 5 together:
3x - 2z = -3 --> eqn. 3
-3x - 7z = -51 --> eqn. 5
-9z = -54
z = -54/-9
z = 6
Substitute the value of z into equation 5:
-3x - 7(6) = -51 --> eqn. 5
-3x - 42 = -51
-3x = -51 + 42
-3x = -9
-3x/-3 = -9/-3
x = 3
Find the value of y by substituting the values of x and z into equation 1:
2(3) + y + 3(6) = 20 --> eqn. 1
6 + y + 18 = 20
24 + y = 20
y = 20 - 24
y = -4
The solution as an ordered triple is: (3, -4, 6).
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In a wood there are 420 silver birch trees 130 oak trees and 210 wild cherry trees. What percentage of the trees are oak trees? Give your answer to 1 dp
Answer:
17.1%
Step-by-step explanation:
To find the percentage of oak trees in the wood, divide the number of oak trees by the total number of trees (sum of all tree types), and then multiply by 100 to express it as a percentage:
\(\begin{aligned}\textsf{Percentage of oak trees}&= \dfrac{\textsf{Number of oak trees}}{\textsf{Total number of trees}} \times 100\\\\&= \dfrac{130}{420+130+210} \times 100\\\\&= \dfrac{130}{760} \times 100\\\\&=0.171052631... \times 100\\\\&=17.1\%\; \sf (1\;d.p.)\end{aligned}\)
Therefore, approximately 17.1% of the trees in the wood are oak trees.
Answer:
17.1%
Step-by-step explanation:
In order to calculate the percentage of trees that are oak trees, we can use the following formula:
\(\textsf{Percentage of oak trees }=\dfrac{\textsf{ Number of oak trees }}{\textsf{total number of trees} }\cdot 100\% \)
We know that the number of oak trees is 130 and the total number of trees is 420 + 130 + 210 = 760.
Substituting these values into the formula, we get:
\(\textsf{Percentage of oak trees }=\dfrac{130}{760}\cdot 100\% \\\\ = 0.1710 \cdot 100\% \\\\ \approx 17.1 \% \textsf{( in 1 d.p.)}\)
Therefore, 17.1% of the trees in the wood are oak trees.
11 players are going to practice in the batting cage. how many different orders are possible
Answer:
Step-by-step explanation:
Choose the correct answer to 97 ÷ 4.
24 R1
24
23 R5
24 R3
Answer:
24 R1
Step-by-step explanation:
What is the exact value of sin pi/3?
The exact value of sin(pi/3) is √3. By definition, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. Therefore, sin(pi/3) = √3/1 = √3.
The exact value of sin(pi/3) can be determined using trigonometric properties and identities.
First, we know that pi/3 is equivalent to 60 degrees. In a unit circle, the point corresponding to 60 degrees forms an equilateral triangle with the origin and the x-axis. This triangle has side lengths of 1, 1, and √3.
To find the sine of pi/3, we consider the side opposite the angle (pi/3) in the triangle. In this case, the opposite side has a length of √3. The hypotenuse of the triangle is 1, as it is the radius of the unit circle.
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The measurements of the base and altitude of a triangle are found to be 36 and 50 centimeters, respectively. The possible error in each measurement is 0.25 centimeter. (a) Use differentials to approximate the possible propagated error in computing the area of the triangle. (b) Approximate the percent error in computing the area of the triangle. Step 1 of 3 A Consider that the measurement base and the altitude of a triangle of a triangle is 36 and 50 centimeters, respectively. Also, the possible error in each measurement is 0.25 centimeter. Comment Step 2 of 3 A (a) Objective is to approximate the propagated error in computing the area of the triangle with the help of differential. For this note that the formulae for the area of triangle is: A= (bn) Here, b is the base of triangle and h is the height of triangle. Thus, b= 36, h = 50 And, db = dh = +0.25 To approximate the propagated error differentiate the area and get dA, dA= 2 1 = 56(dh) +=n(db) - }(50)x(+0.25)+} (36)*(+0.25) = +10.75 Thus area has propagate error of about 10.75 cm? Comment Step 3 of 3 A (b) The percent error can be calculated as follows: +b(dh) +hdb -x100 dA x 100 = 2 A 1 bh 2 21.50 -x100 1800 = 1.194 Hence, the required percent error is 1.194%
The error in computing the area of triangle is 10.75 and the percentage error in computing the area of triangle is 1.194%.
Given that, base of the triangle is 36 cm (a)
Altitude of the triangle is 50 cm (b)
Error in each measurement is 0.25 cm
We know that, area of the triangle (s) = 1/2 * base * altitude
Let us consider base as ' a ' and altitude as ' b '
So, the maximum error of ' s ' can be calculated as
⇒ ds/da * da + ds/db * db
⇒ 1/2* b * da + 1/2 *a * db
⇒ 1/2* 36 * 0.25 + 1/2* 50* 0.25
⇒ 4.5 + 6.25 = 10.75
Now, let us calculate the percentage error in computing the area of the triangle.
dA/A * 100 = [(1/2* b* da + 1/2* a * db)/ 1/2* b *h] * 100
⇒ [(1/2* 36 * 0.25 + 1/2* 50 * 0.25)/ 1/2* 36 * 50] * 100
⇒ [ 21.5/ 1800 ] * 100
⇒ 1.194%
Thus, the error in computing the area of the triangle is 10.75 and the percentage error in computing the area of the triangle is 1.194%.
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Mary walks the 3 day breast cancer walk. They break the 62 miles evenly for each day. How
4
many miles does she walk in one day?
Answer:
she would walk at least those 62 miles
Step-by-step explanation:
We are told that in the 3 days of the walk to fight cancer, Mary breaks the 62 mile barrier every day, that is to say that every day she travels 62 miles or more.
You ask us how much she walks in a single day, considering what the statement that goes at least 62 miles each day says, she would walk at least those 62 miles on a normal day.
How do I write 10×30 in unit form?
what's 1+1 guys i'm really struggling with this question please help.
Answer:
its 2
Step-by-step explanation:
you eat one chip, then you eat one more, you have now eaten two chips
2/7 + 4/5 mixed forms
Answer:
38/35 or 1 3/35Step-by-step explanation:
2/7 + 4/5 mixed forms
2/7 + 4/5 =
38/35 or 1 3/35
Answer:
38/35
Step-by-step explanation:
1. convert to like fractions
2/7-> 10/35
4/5-> 28/35
2. add fractions
10/35 + 28/35 = 38/35
Andrew is building a gate in his fence in the shape of a trapezoid.
What is the area of the gate?
ANSWER: 16FT
SOLUTION IN IMAGES
Six people start a new town. Every 20 years , the population doubles. After years will the town have more than people? Make the pattern: ____________________Answer the question: ____________________
The complete statement is "After 80 years, the town will have more than 96 people."
What is the population?Generally, A population is the whole set of people in a group, whether that group is a country or a collection of people who share a certain trait. A population is the group of people from whom a statistical sample is taken in statistics.
Here is the pattern:
20 years: 6*2=12 people 40 years: 12*2=24 people 60 years: 24*2=48 people 80 years: 48*2=96 peopleAfter 80 years, the town will have more than 96 people.
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5. When I sine an angle like 60°, it gives me a value like 0.866025403. What does this number represent?
Answer:
See below
Step-by-step explanation:
The number you described is the same as \(sin(60^{\circ})=\frac{\sqrt{3}}{2}\) where the sine of an angle is the ratio between a right triangle's opposite side to the angle and the hypotenuse. So, in this case, if we had a right triangle with a height of \(\sqrt{3}\) units and a hypotenuse of 2 units, the ratio between the two sides will result in the value you provided. This right triangle in particular would be a 30-60-90 triangle.
In the case of a unit circle, it’s the y-coordinate of the point where a 60° angle in the standard position intersects a unit circle and a right triangle is created from that.
write a polynomial function of least degree with integral coefficients that has the given zeros. -1, 3+3i
The least degree polynomial function with integral coefficients and the given zeros, -1, 3+3i is f(x) = x³ + x².
What do we mean by polynomial function?A polynomial function is one that involves only non-negative integer powers or positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, and so on. For example, 2x+5 is a polynomial with an exponent of one.So, given zeroes are -1, 3+3i.
We got: x = -1Then, x + 1 = 0.Hence, one factor of the polynomial function is (x+1).Similarly,
We have: 3+3iRewrite as: x = 3 + √-9Square both the sides: x² = 9 - 9So, the other factor is x².So, the polynomial has the function: (x+1)x²
(x+1)x²x³ + x²f(x) = x³ + x²Therefore, the least degree polynomial function with integral coefficients and the given zeros, -1, 3+3i is f(x) = x³ + x².
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!!HELP MEEE!!!
What is the length of PQ?
14 units
17 units
27 units
34 units
The length of the line segment AB is 5 units.
Unfortunately, you haven't provided any information about PQ such as its location or any other data to help solve the question.
Therefore, it's impossible to determine the length of PQ using the given options. However, here is an explanation of how to find the length of a line segment using the distance formula, which may help you in solving similar questions in the future.
The distance formula is used to find the distance between two points in a coordinate plane, such as the length of a line segment. The formula is:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
where d is the distance, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.
To use the distance formula, you first need to find the coordinates of the two points that make up the line segment. Then, substitute these coordinates into the formula and simplify to find the distance.
For example, let's say you have two points: A(1, 2) and B(4, 6), and you want to find the length of the line segment AB. Using the distance formula:
d = √((4 - 1)² + (6 - 2)²)
d = √(3² + 4²)
d = √(9 + 16)
d = √25
d = 5
Remember, the distance formula can be applied to any two points in a coordinate plane to find the distance between them.
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What is simplified form of the fifth square root of x times the fifth square root of x times the fifth square root of x times the fifth square root of x
Answer: This was a bit hard to understand, x times the 5th root of x
Step-by-step explanation:
When you multiply square roots of the same root and inside value, they essentially get rid of the square roots. So the first two terms boil down to just x. Then multiply x by the 5th root of x to get:
\(x\sqrt[5]{x}\)
Answer:
\(x\)
Step-by-step explanation:
Apply exponent rules.
\(\sqrt{x} =x^\frac{1}{2}\\\:a^b\times \:a^c=a^{b+c}\)
\(\sqrt[5]{x} \times\sqrt[5]{x} \times\sqrt[5]{x} \times\sqrt[5]{x} \times\sqrt[5]{x}\)
\(x^{\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}}\)
\(x^1\)
What is 3.761 in expanded form
Answer:
3 + 0.7 + 0.06 + 0.001
Answer:3+ 0.7+ 0.06+ 0.001= 3.761
Step-by-step explanation:
Mr.Kermshner has 168 bandages march through June. How much is it if each bandage is 3 cents
504 bandages if it is each bandage is 3 cents.
Given,
Mr. Kermshner has 168 bandages march through June.
To find the how much is it if each bandage is 3 cents ?
Now, According to the question,
Based on the given conditions,
Formulate:
Total bandage is 168
and, each bandage is 3 cents
= 168 x 3
= 504
Alternative form = 5.04 x 10^2
Hence, 504 bandages if it is each bandage is 3 cents.
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Create a Venn diagram to illustrate each of the following: 26. (D ⋃ E) c ⋂ F
The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.
To represent the sets D, E, and F in the Venn diagram, we first construct three overlapping circles. Then, beginning with the innermost operation and moving outward, we shade the regions corresponding to the set operations in the expression.
We shade the area where the circles for D and E overlap because the equation (D ⋃ E) denotes the union of the sets D and E. All the elements in D, E, or both are represented by this area.
The union of (D ⋃ E) with F is the next step. This indicates that we darken the area where the circle for F crosses over into the area that we shaded earlier. All the components found in sets D, E, F, or any combination of these sets are represented in this region.
The final Venn diagram should include three overlapping circles, with (D ⋃ E) ⋃ F shaded in the area where all three circles overlap.
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help me I'm lost on this unit.
Answer:
f(5) = 90
Step-by-step explanation:
Substitute x = 5 into f(x) , that is
f(5) = 4(5)² - 5 - 5
= 4(25) - 10
= 100 - 10
= 90
Answer:
y= -41/8
Step-by-step explanation:
What’s the volume of a cylinder with a base of 25 and height of 6
place the following words in a binary search tree. add the words to the tree in the order given. lust gluttony greed sloth wrath envy pride
The binary search tree for the given words (lust gluttony greed sloth wrath envy pride) can be seen as attached.
Running the Python code referenced the attached binary search tree will produce results as follows:
value: envy, count: 1
value: gluttony, count: 1
value: greed, count: 1
value: lust, count: 1
value: pride, count: 1
value: sloth, count: 1
value: wrath, count: 1
search lust, result: (1, 1)
search gluttony, result: (2, 1)
search greed, result: (3, 1)
search sloth, result: (2, 1)
search wrath, result: (3, 1)
search envy, result: (3, 1)
search pride, result: (3, 1)
What is the binary search tree?The binary search tree is an advanced algorithm used for analyzing the node, its left and right branches, which are modeled in a tree structure and returning the value. The binary search tree is devised on the architecture of a basic binary search algorithm; so, it enables faster lookups, insertions, and removals of nodes.
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A train running between two stations 50 Km apart arrives on time if it travels at an
average speed of 60 km/h. How late will it be if travels at an average speed of 50 Km/h?
If the train travels at an average speed of 50 Km/h, it would be late by 10 minutes.
How late will the train be if it travels at an average speed of 50 Km/h?Speed is simply referred to as distance traveled per unit time.
It is expressed as:
Speed = distance / time
Given that the train running between two stations 50 Km apart arrives on time if it travels at an average speed of 60 km/h.
The time taken by the train to travel 50 km at an average speed of 60 km/h can be calculated using the formula:
Speed = distance / time
time = distance / speed
time = 50 km / 60 km/h
time = 5/6 hour
Next, if the train travels at an average speed of 50 km/h, the time taken to cover the same distance of 50 km would be:
Speed = distance / time
time = distance / speed
time = 50 km / 50 km/h
time = 1 hour
Now, the difference in time between the two scenarios would be:
time difference = 1 hour - 5/6 hour
time = 1/6 hour
Convert to minutes
time = 1/6 × 60
time = 10 minutes
Therefore, the train would be late by 10 minutes.
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