Answer:
A
Step-by-step explanation:
The domain is the set of possible x values.
The given x-coordinates are -2, 1, 0, 3
the radius of a circle is 3 inches long. what is the circumference?
Given:
a.) A circle with a radius of 3 inches long.
To be able to get the circumference of the circle, we will be using the following formula:
\(\text{ C = 2}\pi r\)Where,
C = Circumference
r = radius
We get,
\(\begin{gathered} \text{ C = 2}\pi r \\ \text{ = 2(3.14)(3)} \\ \text{ = 6 x 3.14} \end{gathered}\)\(\text{ C = 18.84 in.}\)Therefore, the circumference of the circle is 18.84 in.
Which product is greater than
3/5
Answer:
4/5
Step-by-step explanation:
Use the shell method to find the volume of the solid below the surface of revolution and above the xy-plane. (Give your answer correct to 3 decimal places.) The curve z sin(y), (0 y π), in the yz-plane is revolved about the z-axis.
V = 19.739 is the volume of the solid below the surface of revolution and above the xy-plane.
What is the solid's volume?
The amount of space that a solid occupies is expressed in terms of its volume. It is calculated using the quantity of unit cubes required to completely fill the solid.
We have 30 unit cubes in the solid after counting the unit cubes, hence the volume is 2 units. 3 units 30 cubic units from 5 units.
Given Curve
z = sin(y) , (0 ≤ Y ≤ π)
It's on the y-z plane to see the volume of revolution.
It is the upper portion of the sine curve, from 0 to π, revolved around the z - axis.
A differential area element is then dA = z dx. Revolving this around the z - axis gives the differential volume element,
dV = 2πr dA
dV = 2π (z dx)
dV = 2πy sin(y) dx
Then, integrating (I used integration by parts, u = y, dv = sin(y) dy)
V = 2π{ - y cos(y) + sin(y)} evaluated between π and 0
V = 2π{ ( - π cos(π) + sin(π)) - ( - 0*cos(0) + sin(0)) }
V = 2π²
Then, to 3 decimal places
V = 2(3.14159265)2
V = 19.739
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Marine life depends on the microscopic plant life that exists in the photic zone, a zone that goes to a depth where only 1% of surface light remains. In some waters with a great deal of sediment, the photic zone may go down only 15 to 20 feet. In some murky harbors, the intensity of light d feet below the surface is given approximately by I= I0e^-0.23d
The percentage of the surface light :
\(\frac{I}{I_0} \times 100=27.25 \%\)
\($\frac{I}{I_0} \times 100=7.43 \%$\)
This is further explained below.
What percentage of the surface light will reach a depth of (A) 5 feet? (B) 10 feet?Generally, the equation for is mathematically given as
We have; the intensity of light d ft below the surface given by
I=I_0 \(e^{-0.26 d}\)
Where; I_0= Intensity of the light at the surface.
d= depth (in feet).
A)
d=5 \mathrm{ft}:
\(\quad I=I_0 \cdot e^{-0.26 \times 5} \\\\I=I_0 \times e^{-1 \cdot 30}$\)
\($\left(\frac{I}{I_0}\right)=e^{-1.30}=0.27253\)
In of form:
\(\frac{I}{I_0} \times 100=27.25 \%\)
b)
\($d=10 \mathrm{ft}:\)
\(\quad \mathrm{J}=\mathrm{I}_0 e^{-0.26 \times 10}\\\\=I_0 e^{-2.60}$\)
\($\left(\frac{I}{I_0}\right)\)=e^{-2.60}
\($\left(\frac{I}{I_0}\right)\)=0.07427
In form: \($\frac{I}{I_0} \times 100=7.43 \%$\)
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CQ
Marine life is dependent upon the microscopic plant life that exists in the photic zone, a zone that goes to a depth where about 1% of the surface light remains. In some waters with a great deal of sediment, the photic zone may go down only 15 or 20 feet. In some murky harbors, the intensity of light d feet below the surface is given by I=Ioe^-0.26d,Where Io is the intensity of light at the surface. What percentage of the surface light will reach a depth of (A) 5 feet? (B) 10 feet?
Using Postulates and/or Theorems learned in Unit 1, determine whether PRQ MRN.
Show all your work and explain why the triangles are similar or why they are not
Please help and give a good explanation
Answer:
RM / RP = 10/18 = 5/9
RN/RQ = 7/21 = 1/3
Since the two ratios are not the same, triangle PRQ is not similar to triangle MRN.
Step-by-step explanation:
The triangles PRQ and MRN are not similar.
Similar triangles:Triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion.
This means the ratio of there corresponding sides must be equal. The corresponding angles must be the same . Therefore, the following rules must apply:
∠R = ∠R
∠Q = ∠N
∠P = ∠M
The following proportion rule must apply below:
PR / MR = RQ / RN = PQ / MN
18 / 10 = 21 / 7
9 : 5 ≠ 3 : 1
Therefore, the triangles are not similar
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i still need help finding angle 1 and 2
7. Leah took a total of 4 quizzes over the course of 2 weeks. How many weeks of school will Leah have to attend this quarter before she will have taken a total of 6 quizzes? *Just type the NUMBER - no label!* *
4 quizzes per 2 weeks = 2 quizzes per week
Leah took a total of 4 quizzes , so she only needs to take two more quizzes . that means she will have to attend one more week since 2 quizzes are given each week.
Answer:
Leah must attend 3 weeks of school this quarter for her to take a total of 6 quizzes.
solve and graph the inequality 3x < 13
The solution of the inequality 3x < 13 is x < 4.33.
None of the given option is correct.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
An inequality,
3x < 13.
Simplifying,
x < 4.33
The graph is given in the attached image.
Therefore, the solution is x < 4.33.
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Daniella receives $30. Show that Edward recieves $45
The proof that Daniel and Edward receive money in the ratio of their ages is shown below.
What is a Ratio?A ratio expresses the number of times one number contains another. For example, if a dish of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon-to-orange ratio is 6:8, while the orange-to-total fruit ratio is 8:14.
Given that Daniel and Edward receive money in the ratio of their ages. And the age of Daniel and Edward is 8 years and 12 years, respectively. Therefore, it can be written as,
Ratio of Ages
=Age of Daniel: Age of Edward
= 8 years : 12 years =
= 2 : 3
Ratio of the amount received by them
= Amount received by Daniel: Amount received by Edward
= $30 : $45
= 2 : 3
Since, Ratio of Ages = Ratio of the amount received by them.
Therefore, it can be concluded that Daniel and Edward receive money in the ratio of their ages.
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The complete question is:
Daniel is 8 years old and Edward is 12 years old. Their parents give them money in the ratio of their ages. If Daniella receives $30, then Show that Edward receives $45.
Given the polynomial 9x2y6 − 25x4y8, rewrite as a product of polynomials.
(9xy3 − 25x2y4)(xy3 + x2y4)
(9xy3 − 25x2y4)(xy3 − x2y4)
(3xy3 − 5x2y4)(3xy3 + 5x2y4)
(3xy3 − 5x2y4)(3xy3 − 5x2y4)
Answer:
Option 3
(3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Step-by-step explanation:
Factorize polynomials:
Use exponent law:
\(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)
9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²
25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²
Now use the identity: a² - b² = (a +b) (a -b)
Here, a = 3xy³ & b = 5x²y⁴
9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²
= (3xy³)² - (5x²y⁴)²
= (3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
the perimeter of a triangle is 32 feet. One side of the triangle is 11 feet longer than the second side. The third side is 9 feet longer than the second side. Find the length of each side.
Answer:
One side - 15 feet
Second side - 4 feet
Third side - 13 feet
Step-by-step explanation:
Let's call the sides A B and C, respectively.
We know that:
A = B + 11
C = B + 9
and that
A + B + C = 32
Please note that we have 3 equations and 3 unknowns. We can solve this, we'll use substitution.
A + B + C = (B + 11) + B + (B + 9) = 32
3B + 20 = 32
3B = 12
B = 4
The sides have lengths of 4+11 = 15, 4 and 4+9 = 13. This is in fact a proper triangle (because the shorter sides add up to more than the longer side).
The diameter of an ancient chariot is wheel is 2 meters what is the approximate distance the chariots travel if the wheel rotates 120 times
Hey there!
Answer:
240π or 753.6 meters traveled.
Step-by-step explanation:
To solve this problem, first solve for the circumference of the wheel:
C = dπ
C = 2π or ≈6.28 m.
If the wheel rotates 120, then:
D = 2π × 120 = 240π
or
D = 6.28 × 120 = 753.6 m traveled.
20 points and brainlyest to who answers this first in a well format!
Answer:
in the forth line of the equation it should be this
-6x+10=4x+20
-6x-4x=20-10
-10/-10x=10/-10
x=-1
What is the slope of the line?
Answer:
2/3
Step-by-step explanation:
Find two points
(0,-2) and (3,0)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (0- -2)/(3-0)
= (0+2)/(3-0)
= 2/3
Answer:
\(\frac{2}{3}\)
Step-by-step explanation:
From the graph, we can see the line passes through the points (3,0) and (0,-2).
The slope of a line, \(m\), that passes through points \((x_1,y_1)\) and \((x_2,y_2)\) is given by \(m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}\)
Let \((x_1,y_1)\implies (3,0)\) and \((x_2,y_2)\implies (0,-2)\).
The slope of the line that passes through these points is:
\(m=\frac{-2-0}{0-3}=\frac{-2}{-3}=\boxed{\frac{2}{3}}\)
How many lines of symmetry does a rhombus have
Answer: 2
Step-by-step explanation:
Answer:
2 lines of symmetry.
(4 points)
7. Write a paragraph proof of Theorem 3-8: In a plane, if two lines are perpendicular to the same
line, then they are parallel to each other.
Given: rls,1s
Prove: rl
Someone please help
Answer:
Step-by-step explanation:
We are given that line a and b and perpendicular to line x. By definition of perpendicular lines, lines a and b form right angles at the intersection of a and x and b and x. By definition, a right angle is equal to 90 degrees, and the sum of angle 2 and 3 is equal 180 degrees, so by the Converse of Same-Side Interior Angle Theorem, line a is parallel to line b.
Note: I don't have a drawing, but we can assume that angles 2 and 3 are same-side interior.
Line m and line n have corresponding angles that are congruent, which implies that line m is parallel to line n.
Theorem: In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.
Proof:
Let's assume we have a plane with three lines: line l, line m, and line n. We are given that both line m and line n are perpendicular to line l. We want to prove that line m is parallel to line n.
Since line m is perpendicular to line l, the angle formed between line m and line l is 90 degrees. Let's call this angle A.
Similarly, since line n is perpendicular to line l, the angle formed between line n and line l is also 90 degrees. Let's call this angle B.
By the definition of parallel lines, if corresponding angles formed by a transversal and two other lines are congruent, then the two lines are parallel.
In our case, angle A is congruent to angle B (both are 90 degrees). Therefore, line m and line n have corresponding angles that are congruent, which implies that line m is parallel to line n.
Hence, we have proven that in a plane, if two lines are perpendicular to the same line, then they are parallel to each other.
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The following table shows the speeds at which Jeff does 4 activities. For example, Biking has a rate of 19 miles in 2 hours.
Activity Miles Hours
Biking 19 2
Walking 14 4
Running 15 3
Swimming 18 4
Which type of activity does Jeff do at a speed of 4.5 miles per hour?
Choose 1 answer:
(Choice A)
Biking
(Choice B)
Walking
(Choice C)
Running
(Choice D)
Swimming
Answer:
Step-by-step explanation:
option 2 since it equals 14/4
20 points! I appreciate it! What is the difference in the areas of the two triangles?
Answer:
1 ft²
Step-by-step explanation:
Left triangle, area = 10 x 7/2 = 35 ft²
Right triangle, area = 9 x 8/2 = 36 ft²
Difference = 1 ft²
i'll mark brainliest, thanks in advance!
please help me please help
Answer:
y=-1/2x-7
Step-by-step explanation:
15 Simplity 4r + Sx + Sr - 3r by collecting like terms.plizz
Answer:
a x^2+8x
b 12x-30x^2
-----------------------------------
a 3 ( 7 a + 8 b )
b 6 ( 2 a + 3 b )
------------------------------------
9 x ^2 + 2 x
---------------------------------
x=7/2 fraction
x=3.5 decimal
x=3 1/2 mixed number
ı hope ıt will help you
Step-by-step explanation:
In the diagram a person who is 6 ft tall is standing on the ground 3 ft aware from point P.A line segment drawn from the top corner of the building to point P creates two similar triangles. Which proportion can be used to find h, the height of the building in feet?
The proportion that can be used to find h, the height of the building in feet, is given as follows:
3/6 = 18/h.
What are similar triangles?Similar triangles are triangles that share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.From the diagram given by the image at the end of the answer, the equivalent side lengths are given as follows:
3 ft and 18 ft.6 ft and h ft.Hence the proportion to find h is given as follows:
3/6 = 18/h.
Missing Information
The diagram is given by the image presented at the end of the answer.
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There are three sections of College Algebra at Stellar
University. Section B has twice as many students as section A
has. Section C is has greater than or equal to the number of
students enrolled in section A plus B.
If there are 24 students in section C, what is the maximum
number of students that could be in section A?
Answer:
8 students
c>=A+B
b=2a
24<=C
Find the area of a parallelogram with side lengths of 10 m and 16 m and an angle that measures 120
ANSWER:
138.6 square meters
STEP-BY-STEP EXPLANATION:
If we do not know the height of the parallelogram, we can use the concept of trigonometry to find its area, like this:
The value of h would be the product of side 10 times the sine of the indicated angle. We find this angle, knowing that the sum of all the internal angles is equal to 360 °, therefore, we calculate it like this:
\(\begin{gathered} 360=120+120+x+x \\ \text{ we solve x:} \\ 2x=360-120-120 \\ x=\frac{120}{2} \\ x=60\text{\degree} \end{gathered}\)Which means, that the area would be:
\(\begin{gathered} A=b\cdot h \\ h=10\cdot\sin 60 \\ \text{ replacing} \\ A=16\cdot10\cdot\sin 60 \\ A=138.6m^2 \end{gathered}\)The area is equal to 138.6 square meters
Nancy has 1 box of carrots. Each day, she picks another 1/2 box .How many boxes of carrots will Nancy have in 6 days? Write an equation, complete the table, and then graph to sove the problem. Let x = the number of days and let y = the number of boxes
Given :
Nancy has 1 box of carrots.
Each day, she picks another 1/2 box
So, the number of boxes will every day will increase by 1/2 box
this can be represented by following sequence:
1 , 1 1/2 , 2 , 2 1/2 , ......
The first term is : a = 1
And the common difference : d = 1/2
So, if the number of days = x
And the number of boxes = y
so,
\(\begin{gathered} y=d\cdot x+a \\ \\ y=\frac{1}{2}x+1 \end{gathered}\)The graph and the table of the equation will be as shown in the following image :
How many boxes of carrots will Nancy have in 6 days ?
When x = 6
The number of boxes = 1/2 * 6 + 1 = 3 + 1 = 4 boxes
someone help tyyyyyy
Nick bought a sweater for $16.75 and $28.92. estimate how much Nick spent on the sweater and pants.question 2 if Nick paid with $50 how much money will he receive in change?
1. Round to the nearest whole dollar and add: 17 + 29 = $46
Estimated he spent about $46
2. subtract the two amounts from 50:
50-16.75 - 28.92 = $4.33 change back
How do you solve this problem
Answer:
V=\(8y^{15} ft^3\)
Step-by-step explanation:
The volume of a cube is l*w*h, and since l,w,h are all the same multiply \(2y^5\) by itself thrice and use exponent rules, which looks like this:
\((2y^5)^3\\(2)^3(y^5)^3\\8y^{15}\)
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Determine whether u and v are orthogonal.
u = (-1,3,-1) v = (2,-1,5)
===================================================
Explanation:
We compute the dot product. This is where we multiply corresponding coordinates and add the products.
If
u = (a,b,c)
v = (d,e,f)
then
u dot v = a*d + b*e + c*f
If the result of the dot product is zero, then the vectors are orthogonal.
---------------
So,
u dot v = a*d + b*e + c*f
u dot v = -1*2 + 3*(-1) + (-1)*5
u dot v = -2-3-5
u dot v = -10
The result is nonzero.
It tells us that these vectors are not orthogonal.
The two vectors do not form a 90 degree angle.
A baseball player gets 18 hits in the first 21 games of the season. If he continues hitting at the same rate, how many hits will he get in the first 28 games?
In the first 28 games, he'll get how many hits.
Answer:
126
Step-by-step explanation: I am pretty sure this is right so my explanation for this answer is, I subtracted 28 by 21 to see how many games were left, I got 7. So then I multiplyed 18 by 7 to see the total of each to have the final answer.
(sorry if wrong)