Answer:
\(x = 168.33\)
Step-by-step explanation:
Given
Let the number be x
Required
From the question, we have:
\(60\% * x = 161\)
Convert % to decimal
\(0.60 * x = 101\)
Divide both sides by 0.60
\(x = \frac{101}{0.60}\)
\(x = 168.33\)
Hence, the second wave is 148.63
Please explain the meaning of free semigroup based on the following quote simply. And give an example?
Answer:
Free Semigroup: Consider a non empty set A = {a 1,a 2,.....a n }. Now, A* is the set of all finite sequences of elements of A, i.e., A* consist of all words that can be formed from the alphabet of A. If α,β,and,γ are any elements of A*, then α, (β. γ)= (α.β).γ.
Hope this helps. :)
According to a cookie recipe, I need 3 large eggs if I need to make 38 cookies.
Now, you want to make 300 cookies for a bake sale. How many eggs do I need?
O 25
O24
O22
O 23
Answer:
24
Step-by-step explanation:
Because 300 cookies / 38 cookies = 7.89,..
Then 7.89,... x 3 = 23.68,...
round to the nearest tenths= 24
In order to meet the demand for the bake sale, a total of 300 cookies will be prepared, requiring the use of precisely 24 fresh eggs.
To calculate how many eggs you need to make 300 cookies, set up a proportion based on the information given in the cookie recipe:
Number of eggs / Number of cookies = Constant ratio
Let the number of eggs needed for 300 cookies as "x."
So, x eggs / 300 cookies = 3 eggs / 38 cookies
Now, cross-multiply and solve for "x":
x * 38 = 3 * 300
38x = 900
x = 900 / 38
x = 23.6842
x ≈ 24
Therefore, you need 24 eggs to make 300 cookies for the bake sale.
Thus, option (b) is correct.
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n/4=6/8 n*8=4* equals what
Answer:
n/4=6n=4
Step-by-step explanation:
max points easy math problem
Solution:
Given:
x = -4y = 4Substitute the values into the equation:
x⁶ - x/4y=> [(-4)⁶] - (-4)/4(4)Simplify the numerator and the denominator:
=> [(-4) x (-4) x (-4) x (-4) x (-4) x (-4)] + 4/16=> [(-64) x (-64)] + 4/16=> [4096] + 4/16=> 4100/16Simplify the fraction:
=> 4100/16=> 1025 x 4/4 x 4=> 1025/4Correct option is B.
Answer:
\([-\frac{1023}{4} ]\)
Step-by-step explanation:
\(\frac{x^6-x}{4y}\)
x = -4
y = 4
Replace all the variables with the corresponding values given:
\(\frac{-4^6-(-4)}{4(4)}\)
Now solve,
-4 to the power of 6 is equal to -4096
\(\frac{-4096-(-4)}{4(4)}\)
we see that we are subtracting a negative number, meaning that it'll cancel out and turn into an addition sign. Therefore:
\(-4096 + 4\)
\(-4092\)
\(\frac{-4092}{4(4)}\)
4(4) is equal to 16
\(\frac{-4092}{16}\)
When divided, you'll get a mixed fraction of \(-255\frac{3}{4}\)
To turn into an improper fraction, simply multiply the whole number by the denominator, then add the numerator to the result.
\(-255 * 4 + 3\)
\([-\frac{1023}{4} ]\)
Which of the following statements is true?
A.
the segment bisects segment
B.
the segment DE bisects segment
C.
the segment is perpendicular to segment
D.
segment is congruent to segment
The correct statement about the line segment is,
⇒ the segment DE bisects segment AC.
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
Triangle ABC is shown in figure.
Now, We can see that;
⇒ AE = EC
Hence, the segment DE bisects segment AC.
Thus, The correct statement about the line segment is,
⇒ the segment DE bisects segment AC.
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Jim has ridden 24 miles of a bike course. The course is 40 miles long. What percentage of the course has Jim ridden so far?
Answer:
-
Step-by-step explanation:
Two angles are supplementary. One is 90° more than twice the other. Find the measures of the angles.
Answer:
30, 150
A + B = 180
A = 2B+ 90
2B + 90 + B = 180
3B = 90
B=30 A=150
Step-by-step explanation:
Answer:
30°
Step-by-step explanation:
Suppose smaller angle = x°
larger angle = (2x+90) deg
Supplementary angles so sum = 180 degree
x+2x+90=180
3x+90=180
3x=180-90
3x=90
x=30
larger angle =2x+78=68+78=146 degree
Smaller angle = 30°
Hope this answer helps you :)
Have a great day
Mark brainliest
(3x^3)^2 write without exponent
Answer:
9*x*x*x*x*x*x.
Step-by-step explanation:
(3x^3)^2
= 3^2 * x^(3*2)
= 3^2 * x^6
= 9*x*x*x*x*x*x
There are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag.
What is the theoretical probability of randomly drawing a red marble?
25%
62.5%
20%
41.7%
Answer:
20%
Step-by-step explanation:
The theoretical probability of drawing a red marble can be found by dividing the number of red marbles by the total number of marbles in the bag:
P(red) = number of red marbles / total number of marbles
P(red) = 5 / (5 + 8 + 12)
P(red) = 5 / 25
P(red) = 0.2
So the theoretical probability of randomly drawing a red marble is 20%, which corresponds to option (C).
Find the roots of each equation by factoring. 36=x^2
The equation has no zeros in that there is no
Just c please
Thanks will give brainliest
pyramid A: 16 + \(8\sqrt{5\)
pyramid B: 400 + \(8\sqrt{125\)
pyramid A: 4 by 4= 16 cm.
with a height of 1 and length of 2, we use pythagorean theorem to find height of other surfaces to be square root of 5. area of triangle is 1/2 bh
square root of 5 multiplied by 4 and divided by 2 is 2 root 5
multiply this by 4 sides total for 8 root 5
Add the 8 root 5 to 16
To find pyramid B: use ratio of 25:1 and multiply 16 by 25 to find 400, and root 5 to 125
Pls help do you know 500000x4000000000➗4
Answer:
500000000000000
Step-by-step explanation:
multiply 500000 by 4000000000 (2000000000000000), then divide by 4 (500000000000000)
A survey was conducted from 1000 people about what fruit they like the most. By looking at the graph how many people enjoyed grapes and bananas
Answer:
200 to 70
Step-by-step explanation:
well if it were 100 it would be 20 people to 7 so scale it up by 10 and you get 200 to 70 people
ni p*t* idea pibe :)
Multiply: 3,217 × 5,716
Answer:
Step-by-step explanation:
183,883,72
Answer:
18388372
Step-by-step explanation:
1 )Use the algorithm method.
3 2 1 7
× 5 7 1 6
1 1 1 4
1 9 3 0 2
3 2 1 7 0
2 1 1 4
2 2 5 1 9 0 0
1 1 3
1 6 0 8 5 0 0 0
1 1 1
1 8 3 8 8 3 7 2
==================step 2==================2 )Therefore, 3217 × 5716 = 18388372.
18388372
PLEASE HELP ASAP!!
Shelby bought a circular spin wheel to make a game for the end-of-year carnival. She knows
that a circle has 360 degrees in all. She wants to paint 24 equal-sized wedges on the wheel.
Let w represent the angle measure of each wedge. Which equation models the problem?
W/24= 360 or
24w = 360
Solve this equation to find the angle measure of each wedge.
As a result, every single wedge on the cylindrical spin wheel needs to be 24 degrees in inclination.
What equation of number would that be?The meaning of an equation in algebra is a mathematical assertion that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are split by the 'equal' symbol.
The equation that models the problem is:
w/24 = 360/360
or simply:
w/24 = 1
To solve for w, we can multiply both sides of the equation by 24:
w/24 × 24 = 1 × 24
w = 24
Therefore, each wedge on the circular spin wheel should have an angle measure of 24 degrees.
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f(1)=0
f(n)=f(n−1)+2
Answer: f(n) = 2n - 2
Therefore, we can use this formula to find the value of f(n) for any positive integer n.
Step-by-step explanation: Using the given recursive formula:
f(1) = 0
f(n) = f(n-1) + 2
We can find the values of f(n) for different values of n:
f(1) = 0
f(2) = f(1) + 2 = 0 + 2 = 2
f(3) = f(2) + 2 = 2 + 2 = 4
f(4) = f(3) + 2 = 4 + 2 = 6
f(5) = f(4) + 2 = 6 + 2 = 8
And so on.
We can see that each term in the sequence is 2 more than the previous term. So, we can write the general formula for f(n) as:
f(n) = 2n - 2
Therefore, we can use this formula to find the value of f(n) for any positive integer n.
Anything would help :))
Step-by-step explanation:
1.
x = number
x/4 = x/3 - 1
x/3 - x/4 = 1
4x/12 - 3x/12 = 1
x/12 = 1
x = 12
2.
the numerator is the top (it gives the number of the parts of the whole that are combined in the fraction).
the denominator is the bottom (it says in how many and therefore how small parts we split the whole).
x = numerator
y= denominator
fraction is x/y
y = x + 2
(x+3)/(y+3) = 23
x + 3 = 23(y + 3) = 23y + 69
x = 23y + 66
now we use the first equation (y = x + 2) and substitute it into the last equation :
x = 23(x + 2) + 66 = 23x + 46 + 66 = 23x + 112
x = -112/22 = -56/11
y = -68/22 = -34/11
the original fraction is
x/y = -56/11 / -34/11 = -56/11 × -11/34 = 56/34 = 28/17
3.
in 1 hour the large pipe has done 1/3 of the work. and the small pipe 1/6 of the work.
so, in total in 1 hour we get (1/3 + 1/6) done.
what factor do we need to multiply (1/3 + 1/6) to get 1/1 (the whole work) ?
x(1/3 + 1/6) = 1
x(2/6 + 1/6) = 1
x(3/6) = 1
x × 1/2 = 1
x = 2
it takes both pipes together 2 hours to empty the pool.
4.
very similar to 3.
we are just using days instead of hours.
in 1 day Erwin gets 1/2 of the work done and Ana 1/5 of the work. so, together, 1/2 + 1/5 of the total work in one day.
so, how many days to get 1/1 (the whole work) done ?
x(1/2 + 1/5) = 1
x(5/10 + 2/10) = 1
x(7/10) = 1
7x = 10
x = 10/7
it takes them together 10/7 days to mow the whole lawn.
Right triangle EFG has its right angle at F, EG = 6 , and FG = 4 What is the value of the trigonometric ratio of an angle of the triangle? Drag a value to each box to match the trigonometric ratio with its value .
Answer:
\(\cos G=\dfrac{2}{3}\)
\(\csc E=\dfrac{3}{2}\)
\(\cot G=\dfrac{2}{\sqrt{5}}\)
Step-by-step explanation:
If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).
Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.
\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)
Therefore:
EF = 2√5FG = 4EG = 6\(\hrulefill\)
To find cos G, use the cosine trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle G, the adjacent side is FG and the hypotenuse is EG.
Therefore:
\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)
\(\hrulefill\)
To find csc E, use the cosecant trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle E, the hypotenuse is EG and the opposite side is FG.
Therefore:
\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)
\(\hrulefill\)
To find cot G, use the cotangent trigonometric ratio:
\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)
For angle G, the adjacent side is FG and the opposite side is EF.
Therefore:
\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)
ASAP!!! NEED AN ANSWER
In this budget scenario, use 15 per hour as the current wage for 40 hour work weeks. Hint: There are 52 weeks in a year, and 12 months in a year.
1. What is the gross yearly income?
2. What is the gross monthly income using this pay rate?
1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year
Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year
Gross Yearly Income = $31,200
2)Gross Monthly Income = Gross Yearly Income / Months in a Year
Gross Monthly Income = $31,200 / 12 months
Gross Monthly Income ≈ $2,600
Can someone help me please it's only 2 questions!!!!!
Problem 1
Answer: -4 + 7Reason: We start at 0 and move 4 units left. This is represented by 0+(-4) or 0-4. That simplifies to -4. Then add on 7 to move 7 units to the right to arrive at 3 as the final destination.
=============================================
Problem 2
Answer: 8 + 3Reason: We start at 0 and move 8 units to the right. That is represented by +8 or simply 8. Then the +3 will move us 3 more units to the right to get to 11 on the number line. This is one visual way to see why 8+3 = 11.
15
The graph below shows Jason's earnings based on the number of hours he works.
JASON'S EARNINGS
50
45
40
35
30
Earnings (dollars)
25
20
15
10
5
0 1 2 3 4 5 6 7 8
Number of Hours Worked
What point on the graph represents Jason's hourly pay rate?
А
(0,0)
B
(1, 15)
C (2, 30)
D
(3.45)
Answer:
B) (1,15)
Step-by-step explanation:
Because 1/15= 15 and so does everything else. But it iS the first point that we look at to see the answer of the rest.
help I don't understand
With the help of proportions in the given similar triangles we know that the value of x is 3.5 units.
What is triangle similarity?Euclidean geometry states that two objects are comparable if they have the same shape or the same shape as each other's mirror image.
One can be created from the other more precisely by evenly scaling, possibly with the inclusion of further translation, rotation, and reflection.
These three theorems—Angle-Angle (AA), Side-Angle-Side (SAS), and Side-Side-Side (SSS)—are reliable techniques for figuring out how similar triangles are to one another.
So, in the given situation:
TR and WY are as follows:
TR/WU
24/2
2/1
Similarly,
TS/WV
2/1
7/x
7/3.5
Therefore, with the help of proportions in the given similar triangles we know that the value of x is 3.5 units.
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Select the correct answer.
Which expression is equivalent to the given expression?
2x² - 14x +24
A. (2x - 12)(x - 2)
B. 2(x - 3)(x - 4)
C. 2(x - 8)(x + 3)
D. 2(x - 5)(x - 2)
Answer: B. 2(x - 3)(x - 4)
Step-by-step explanation:
There are 12 inches in a foot. How many square inches are in 11 2 square feet?
Answer:
144
Step-by-step explanation:
Which of the following shows the image T of triangle ABC under the transformation (x,y)→(x−4,y+1)?
The required image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)
To find the image T of triangle ABC under the transformation (x,y) → (x-4, y+1), apply this transformation to each of the vertices of triangle ABC and then connect the new vertices to form the image T.
Let's assume that the coordinates of the vertices of triangle ABC are A(a,b), B(c,d), and C(e,f).
To find the image of vertex A under the transformation, we substitute x = a and y = b into the transformation equation:
(x,y) → (x-4, y+1)
(a,b) → (a-4, b+1)
Therefore, the image of vertex A is A'(a-4, b+1).
Similarly, we can find the images of vertices B and C:
B'(c-4, d+1)
C'(e-4, f+1)
Therefore, the image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)
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Which set of ordered pairs does NOT represent a function?
A (0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9)(0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9)
B (1, 4), (3, 7), (5, 8), (4, 9), (6, 2), (7, 8), (2, 5)(1, 4), (3, 7), (5, 8), (4, 9), (6, 2), (7, 8), (2, 5)
C (-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2)(-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2)
D (-3, 6), (2, 7), (0, 5), (1, 5), (4, 9), (5, 4)(-3, 6), (2, 7), (0, 5), (1, 5), (4, 9), (5, 4)
E (0, 1), (2, 2), (4, 8), (-2, 7), (5, 8)
Answer: A
Step-by-step explanation:
The set of ordered pairs that does NOT represent a function is option A because it contains two ordered pairs with the same first element (2), but different second elements (2 and 7), violating the definition of a function, which requires that each input (first element) is associated with only one output (second element).
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If 450 birds have to fit evenly into 18 enclosures and there are 3 enclosures in each section of the zoo how many birds are in each section of the zoo?
Answer:There are 75 birds in each section.
Step-by-step explanation:450 birds divided by 18 enclosures is 25 birds in each enclosure. 25 birds times 3 enclosures is 75 birds in each section.
209.69 rounded to 2 Dp
Answer:
209.70
Step-by-step explanation:
209.70 to 2decimal places
Car A travels 18 miles every 20 minutes. Car B travels 13 miles every 12 minutes. Which statement best compares how far the two cars can travel in an hour?
Answer:
The answer is C) car b travels 11 more miles than car a in one hour
Step-by-step explanation:
Car A: 18/20(60)=54 mph
Car B: 13/12(60) = 65 mph
So car b travels 11 more miles than car a in one hour
For what values of a and b is x^64 + ax^b +25 a perfect square for all integer values of x?
For the expression \(x^64 + ax^b + 25\) to be a perfect square for all integer values of x, b must be 64, and a must be a perfect square, written as a = \(y^2.\)
To determine the values of a and b such that the expression\(x^64 + ax^b\) + 25 is a perfect square for all integer values of x, we need to analyze the properties of perfect squares.
A perfect square is an expression that can be written as the square of another expression. In this case, we want the given expression to be in the form of\((x^n)^2,\) where n is an even integer.
Let's examine the given expression: \(x^64 + ax^b\) + 25
For it to be a perfect square, the quadratic term \(ax^b\)must have the same exponent as the leading term\(x^6^4.\) This means b must be equal to 64.
So we have:\(x^64 + ax^64 + 25\)
Now, we can rewrite this as:\((x^32)^2 + 2(x^32) (\sqrt{a}) + (\sqrt{25})^2\)
By comparing this with the standard form of a perfect square, (\(x^n +\sqrt{k} )^2\), we can deduce that √a must be equal to x^32 and \(\sqrt{25}\) must be equal to \(\sqrt{k.}\)
Therefore, we have: \(\sqrt{a} = x^3^2\)and\(\sqrt{25} = \sqrt{k}\)
From the second equation, we know that k = 25.
Now, substituting the value of k back into the first equation, we have: \(\sqrt{a} = x^3^2\)
To satisfy this equation for all integer values of x, a must be a perfect square. Therefore, we can express a as a =\(y^2\), where y is an integer.
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