Answers
x/15 = 12/(12+8) = 3/5
x = 15*3/5
x = 9
Related Questions
5.1x10^-1 as an ordinary number?
Answers
so its 5.1 * 0.1 = 0.51 Answer
Convert [tex]\( 5.1 \times 10^{-1} \)[/tex] to an ordinary number, the, [tex]\( 5.1 \times 10^{-1} \)[/tex] as an ordinary number is 0.51.
To convert [tex]\( 5.1 \times 10^{-1} \)[/tex] to an ordinary number:
1. Identify the exponent: The exponent is -1.
2. Understand the meaning: [tex]\( 10^{-1} \)[/tex] means "divide by 10".
3. Apply the operation: Divide 5.1 by 10.
4. Move the decimal point: To divide by 10, shift the decimal point in 5.1 one place to the left.
5. Result: Moving the decimal point one place to the left changes 5.1 to 0.51.
Thus, [tex]\( 5.1 \times 10^{-1} = 0.51 \)[/tex].
Complete question:- What is [tex]5.1 * 10^{- 1[/tex] as an ordinary number?
I really need help ASAP
Answers
.. tan(a) = 78'/36'
.. a = arctan(78/36) ≈ 65.22°
You also know that
.. a = c = k = j
and that
.. a +c +e = 180°
.. e = g = 180° -2a = 49.55°
f = h = 180° -e = 130.45°
Of course the other corner angles are
.. b = d = i = l = 90° -a = 24.78°
_____
One bit of trigonometry and the rest is arithmetic.
What is the cosecant of angle y?
Answers
The cosecant of angle y is z/y.
What is Trigonometry?The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).
Given:
Hypotenuse = z
Perpendicular = y
Base = x
As, Cosecant is the ratio of Hypotenuse to perpendicular
Using Trigonometry
cos y = H/ P
cos y = z/ y
Hence, the cosecant of y is z/y.
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solve the following system of equations: -2x+y=1
-4x+y=-1
A)(3,1)
B)(-1,3)
C)(-1,-3)
D)(1,3)
Answers
.. (-2x +y) -(-4x +y) = (1) -(-1)
.. 2x = 2 . . . . . . . . . . . . . . . . . . . simplify
.. x = 1 . . . . . . . . . . . . . . . . . . . . . divide by 2
This corresponds to selection D) (1, 3).
Which best describes what is happening in section C? His car is stopped. His car is speeding up. His car is slowing down. His car is traveling at a constant speed.
Answers
The best describes what is happening in section C is His car is slowing down.
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them.
As, from the speed versus time graph we can see that section C occurs in between section B and D.
In section B,
line is horizontal which means the car is at constant high speed.
In section D,
line is also horizontal which means the car is at a constant low speed.
In section C,
the line goes down to the right which shows that from section B to D there is decrease in speed of car. So, in section C the car in movement of slowed down.
Hence, in section C is car is slowing down.
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PLEASE HELP!
Which transformations will produce similar, but not congruent, figures?
A)Triangle MNO is reflected across the y-axis and then rotated 180° clockwise to form triangle M"N"O" .
B)Triangle MNO is reflected across the y-axis and then dilated by a scale factor of 1.8 to form triangle M"N"O" .
C) Triangle MNO is reflected across the x-axis and then translated 9 units down to form triangle M"N"O" .
D)Triangle MNO is reflected across the x-axis and then rotated 90° clockwise to form triangle M"N"O" .
Answers
Give the values a, b, and c needed to write the equations standard form. 2/3(x-4)(x+5)=1
Answers
ax ^ 2 + bx + c
What we must do in this case is to rewrite the given equation.
We have then:
2/3 (x-4) (x + 5) = 1
(x-4) (x + 5) = 3/2
(x ^ 2 + 5x-4x-20) = 3/2
2x ^ 2 + 2x-40 = 3
2x ^ 2 + 2x-43 = 0
Thus, the values of a, b and c are:
a = 2
b = 2
c = -43
Answer:
a = 2
b = 2
c = -43
Answer:I agree
Step-by-step explanation:
The ratio of two supplementary angles is 6:3. what is the measure of the smaller angle?
Answers
simplify
2:1
That means that the bigger angle is two times bigger than the smaller one
supplementary angles equal up to 180
smaller angle + larger angle = 180
s + l = 180
we can create our second equation using two times the smaller = larger
2s = l
our two equations are:
2s = l
s + l = 180
now that we have the two equations, we can solve using substitution to isolate the variable.
s + l = 180
s + (2s) = 180
simplify.
3s = 180
s = 60
the smaller angle has a value of 60.
now, remember that the larger angle is two times the smaller.
60 x 2 = 120
smaller angle: 60
larger angle: 120
we know this is correct because we know the smaller is 1/2 or 1:2 or 2:4 times the bigger, and the two angles add up to be 180 (60 + 120)
Hope this helps :)
Amare wants to ride a Ferris wheel that sits four meters above the ground and has a diameter of 50 meters. It takes six minutes to do three revolutions on the Ferris wheel. Complete the function, h(t), which models Amare's height above the ground, in meters, as a function of time, t, in minutes. Assume he enters the ride at the low point when t = 0.
Answers
Final answer:
To model Amare's height above the ground as a function of time, use the equation h(t) = 2 + 2 * sin((2 * pi * t) / 6)
Explanation:
To determine a function to model Amare's height above the ground as a function of time, we can use the equation of motion for circular motion. The height of Amare above the ground can be calculated using the equation:
h(t) = r + R * sin(theta)
Where:
h(t) is the height above the ground at time t
r is the radius of the wheel (half the diameter)
R is the maximum height above the ground (given as 4 meters)
theta is the angle in radians, which is related to time by the formula theta = (2 * pi * t) / T, where T is the time for one revolution (given as 6 minutes)
Putting all these values into the equation, we get:
h(t) = 2 + 2 * sin((2 * pi * t) / 6)
Which of the following best describes an unpredictable event
A. The outfit a person will wear on a particular day 3 years from now
B. The moment a car runs out of gasoline
C. The grade a student gets in a class on a final report card
D. The amount of money in a savings account
Answers
Solve the inequality and then graph its solution: 7s + 12 > 46 - 10s
Answers
Add 10s to both sides:
17s + 12 > 46
Subtract 12 to both sides:
17s > 34
Divide 17 to both sides:
s > 2
The inequality graphed would have an open dot on 2 and the arrow would be going to the right.
Cassie rolls a fair number cube with 6 faces labeled 1 through 6.She rolls the number cube 600 times. Which result is most likely
Answers
Answer:
All results are most likely.
Step-by-step explanation:
Each result 1-6 has an equal chance. The probability is the number of chances divided by the total number. The total number of options is 6 since it is a six sided cube. Each options is represented once so 1 out 6 is the likelihood.
1 out of 6 is 1/6 = 0.17 = 17%.
No matter how many times she has rolled it, it's the same likelihood.
I don't understand this question.
the instructions say: "In exercises 1-4,tell whether the ordered pair is a solution of the inequality."
Answers
5 - 4 > 2
1 > 2
(5, 4) is not a solution to this inequality
what is the solution of the equation x^2-1=0
Answers
x^2 -1^2 = 0
(x + 1) (x - 1) = 0
x + 1 = 0 or x - 1 = 0
x = -1 or x = 1
Ans: -1 and 1
Solve it like this
x^2 - a^2 = (x + a)(x - a)
so for x^2 - 1 you get
(x + sqrt(1) ) (x - sqrt(1) = (x + 1)(x-1)
x^2 - 1 = (x + 1)(x - 1)
(x - 1)(x + 1) =0
x - 1 =0
x = 1
x + 1 = 0
x = - 1
The two answers are x = 1 and x = - 1
You might want to try these. If you post the answers, I'll tell you how you did. Just make comments
x^2 - 25 = 0
x^2 - 9 =0
x^2 - 36 = 0
x^2 - 49 = 0
Which are reasonable solutions for this situation if x represents the number of hot dogs sold and y represents the number of bottles of water sold? Check all that apply.
(–1, 5)
(0, 6)
(2, 1)
(1, 1.5)
(1, 3)
(2, 2)
Answers
its actually c, and e
Step-by-step explanation:
Which set of ordered pairs represent a function
Answers
Answer: second set
Step-by-step explanation:
The volume of right circular cylinder a is 22 cubic centimeters. what is the volume, in cubic centimeters with twice the radius and half the height?
Answers
[volume of right circular cylinder]=pi*r²*h
Vo=pi*r²*h--------------> original volume
Vo= 22 cm³
if twice the radius and half the height
r1=2*r
h1=h/2
then
V1=pi*ri²*h1
substituting
V1=pi*(2*r)² *(h/2)----------->V1= pi*4*r² *h/2-----------> V1=2*pi*r² *h
V1=2*[pi*r² *h]------------> V1=2Vo
V1=2*22=44 cm³
the answer is 44 cm³
To find the volume of the new cylinder with twice the radius and half the height, use the formula for the volume of a cylinder and substitute the new values. The volume of the new cylinder is also 22 cubic centimeters.
Explanation:To find the volume of the new cylinder with twice the radius and half the height, we can use the formula for the volume of a cylinder: V = πr2h.
First, we double the radius of the original cylinder. Let's say the original radius is r. The new radius would be 2r.
Next, we halve the height of the original cylinder. Let's say the original height is h. The new height would be h/2.
Substituting these values into the volume formula, we get the volume of the new cylinder as V = π(2r)2(h/2)=4πr2(h/2)=2πr2h.
So, the volume of the new cylinder is also 22 cubic centimeters.
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6. The cost C of joining FitFast Gym includes an initial membership fee of $127, plus a monthly
fee, m, of $28.
a. The cost of going to the gym is a function of the number of months of membership. Find a
rule for the function.
b. Find the cost of using the gym for 9 months
Answers
The cost of gym membership for 9 months then would be f(9)=127+28(9)=127+252=$379.
Answer:
Step-by-step explanation:
The function rule would be f(m)=127+28m. This is because the membership fee, $127, is added to the monthly cost, which is given by 28×m, the number of months.
The cost of gym membership for 9 months then would be f(9)=127+28(9)=127+252=$379.
12. triangle KMP is isosceles with KM = KP. MX and PY are angle bisectors.
a. Is there enough information to prove triangle WMP is an isosceles
triangle? Explain.
b. Can you conclude that MX and PY are medians?
c. What one additional piece of information would allow you to prove
that MX and PY are altitudes?
triangle below
Answers
B: Yes, because the angle bisectors of MX and MP would also bisect the sides making them both medians.
C to prove that they were Altitudes we would need to know that the base angles of KMP are 60 degrees. if they are 60 degrees they would create two 30-60-90 triangles with the 90 degrees going from the center of the side directly up, perpendicularly to the altitude. (this would also make the triangle an equilateral triangle)
Give the coordinates of the points after a reflection over the line y=-4
A( 4,5) A' (_,_)
B(0,4) B' (_,_)
C(-2,1) C' (_,_)
use algebraic representation and please show your work !
Answers
.. (y +y')/2 = -4
.. y +y' = -8
.. y' = -8 -y
The x-coordinate remains unchanged.
A' = (4, -8-5) = (4, -13)
B' = (0, -8-4) = (0, -12)
C' = (-2, -8-1) = (-2, -9)
PLEASE HELP
7.02
1. Determine whether the sequence converges or diverges. If it converges, give the limit.
60, 10, five divided by three , five divided by eighteen , ...
A) Converges; 72
B) Converges; 0
C) Diverges
D) Converges; -15540
2. Find an explicit rule for the nth term of the sequence.
1, 3, 9, 27, ...
A) an = 1 • 3n + 1
B) an = 3 • 1n - 1
C) an = 1 • 3n - 1
D) an = 1 • 3n
3. Find an explicit rule for the nth term of the sequence.
-5, -25, -125, -625, ...
A) an = -5 • 5n
B) an = 5 • -5n + 1
C) an = 5 • -5n
D) an = -5 • 5n - 1
4. Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.
A) an = 2 • 3n - 1
B) an = 2 • (-3)n - 1
C) an = 2 • 3n
D) an = 2 • (-3)n + 1
5. A certain radioactive isotope has a half-life of 11 days. If one is to make a table showing the half-life decay of a sample of this isotope from 32 grams to 1 gram; list the time (in days, starting with t = 0) in the first column and the mass remaining (in grams) in the second column, which type of sequence is used in the first column and which type of sequence is used in the second column?
Answers
2. C
5.
TABLE
0 32
5 16
10 8
15 4
20 2
after 25 days ----> from 32g to 1g
first column: increments of +5; arithmetic sequence
second clmn: x5 ; geometric sequence
Answers:
1-A, 2-C, 3- D, 4- B.
The radius and height of a right cylinder are each multiplied by 2. what is that change in the total surface area of the cylinder
Answers
The total surface area is multiplied by 4.
When both the radius and height of a right cylinder are multiplied by 2, the change in the total surface area is 4 times the original surface area.
Explanation:
The total surface area of a right cylinder is given by the formula A = 2πrh + 2πr², where r is the radius and h is the height. When both the radius and height are multiplied by 2, we can calculate the change in the total surface area:
The new radius is 2r, so the new area of the bases is 4πr².The new height is 2h, so the new area of the lateral surface is 2π(2r)(2h) = 8πrh.Therefore, the total surface area of the new cylinder is A' = 4πr² + 8πrh = 4(πr² + 2πrh) = 4A.Learn more about Total surface area of a cylinder here:https://brainly.com/question/35459045
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Please help
Part 1.] Match these items.
1.) The positive integers
2.) An ordering of quantities
3.) 2, 4, 8, 16, . . ., 256
4.) 1, 3, 5, 7, . . .
5.) No first term is available
A.) An example of a finite sequence
B.) A sequence
C.) The reason the numbers . . . -4, -2, 0, 2, 4, . . . are not a sequence
D.) The natural numbers
E.) An example of an infinite sequence
Part 2.] Write the first five terms of the sequence. [tex] a_{n}= n^{2}+2[/tex]
A.] 3,6,11,18,27
B.] 3,6,9,12,15
C.] 2,3,6,11,18
Part 3.] Write the first five terms of the sequence. [tex] a_{n}= -1( \frac{1}{3})^{n-1}[/tex]
A.] -1,-3,-9,-27,-81
B.] -1,[tex] \frac{-1}{3},\frac{-1}{9},\frac{-1}{27},\frac{-1}{81} [/tex]
C.] -1,[tex] \frac{1}{3},\frac{-1}{9},\frac{1}{27},\frac{-1}{81} [/tex]
Part 4.] In two or more complete sentences, explain whether the sequence is finite or infinite. Describe the pattern in the sequence if it exists, and if possible find the sixth term. [tex]2a,2a^{2}b,2a^{3}b^{2},2a^{4}b^{3}...[/tex]
Answers
1) The positive integers -----------> D.) The natural numbers
2.) An ordering of quantities -----------> B.) A sequence
3.) 2, 4, 8, 16, . . ., 256 -----------> A.) An example of a finite sequence
4.) 1, 3, 5, 7, . . . -----------> E.) An example of an infinite sequence
5.) No first term is available -----------> C.) The reason the numbers . . . -4, -2, 0, 2, 4, . . . are not a sequence
Part 2
[tex]a_n=n^2+2\\ a_1=1+2=3\\ a_2=4+2=6\\ a_3=9+2=11\\ a_4=16+2=18\\ a_5=25+2=27 [/tex]
The answers is A.
Part 3
[tex]a_n=-1(\frac{1}{3})^{n-1} \\ a_1=-1(\frac{1}{3})^{1-1}=-1\\ a_2=-1(\frac{1}{3})^{2-1}=-\frac{1}{3}\\ a_3=-1(\frac{1}{3})^{3-1}=--\frac{1}{9}\\ a_4=-1(\frac{1}{3})^{4-1}=--\frac{1}{27}\\ a_5=-1(\frac{1}{3})^{5-1}=--\frac{1}{81}\\ [/tex]
The answers is B.
Part 4
The pattern in this sequence is:
[tex]a_n=2a^nb^{n-1}[/tex]
Let's list first six terms:
[tex]a_n=2a^nb^{n-1}\\ a_1=2a^1b^0=2a\\ a_2=2a^2b^1=2a^2b\\ a_3=2a^3b^2\\ a_4=2a^4b^3\\ a_5=2a^5b^4\\ a_6=2a^6b^5\\[/tex]
This is a infinite sequence. The patern is obvious and we could find any term within the sequence.
The questions involve matching concepts related to sequences, finding the first terms of given sequences, and analyzing an infinite sequence. The correct matches were 1-D, 2-B, 3-A, 4-E, 5-C. Options C and C were correct for Parts 2 and 3, while for Part 4, the sequence was infinite, with the sixth term as [tex]2a^{6}b^{5}[/tex].
Explanation:
For Part 1, the correct matching of the items would be as follows:
1 - D (The positive integers can also be referred to as natural numbers)2 - B (A sequence is simply an ordering of quantities)3 - A (2, 4, 8, 16, ... , 256 is a finite sequence because it ends at 256)4 - E (1, 3, 5, 7, ... is an infinite sequence because it goes on indefinitely)5 - C (The numbers -4, -2, 0, 2, 4, ... can't be a sequence because there is no first term)
For Part 2, Option C is correct. The first five terms of the sequence [tex]a_{n} = n^{2} + 2[/tex] are 3, 6, 11, 18, 27, as these are the results you obtain when you plug the first five positive integers into the formula.
For Part 3, Option C is correct. The first five terms of the sequence [tex]a_{n} = -1 * (1/3)^{n-1}[/tex] are -1, 1/3, -1/9, 1/27, -1/81. Notice the alternating signs due to the factor of -1.
For Part 4, the sequence [tex]2a,2a^{2}b,2a^{3}b^{2},2a^{4}b^{3}...[/tex] is infinite since there is no last term. The pattern involves progressively increasing the powers of a and b in each term. The sixth term would be [tex]2a^{6}b^{5}[/tex] following this pattern.
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what is the value of x?
Answers
Answer:
x = 5
Step-by-step explanation:
In this figure with two similar triangles, corresponding edges are proportional. The proportion can be written several ways. One of them is ...
(x+5)/(x+1) = (x)/(x-2)
Multiplying by the product of denominators gives ...
(x -2)(x +5) = (x +1)(x)
x^2 +3x -10 = x^2 +x . . . eliminate parentheses
2x = 10 . . . . . . . . . . . . . . add 10 -x -x^2
x = 5 . . . . . . . . . . . . . . . . divide by 2
What is the hypothesis in the following conditional statement? "If it is a Friday then Josie will receive her paycheck." A. It is a Friday. B. It is not a Friday. C. Josie will receive her paycheck. D. Josie will not receive her paycheck.
Answers
Answer:
C. Josie will receive her paycheck.
Step-by-step explanation:
The hypothesis is that Josie will have her paycheck.
The conditional thing of that hypothesis is that she needs to wait until Friday and then, she can have her paycheck.
You can see this because the main here is to get the paycheck.
And the thing that can change, without changing the main hypothesis, is the day she will receive that check.
f(x) = x4 − 4x3 − 4x2 + 36x − 45. This function has roots
Answers
x=3 is root of this function
Answer:
the answer is 4 not three
Which reason best describes why you can divide any number by 100 by moving the decimal point two places to the left?
Dividing a number by 100 is the same as subtracting the number 100 times.
Dividing by 100 is the same as removing a zero.
Moving the decimal point makes the number smaller.
Moving the decimal point two places to the left makes the number 1/100 of its original value.
Answers
Answer:
Option D, Moving the decimal point two places to the left makes the number 1/100 of its original value.
Step-by-step explanation:
Step 1: Find the answer
I believe that it is the last choice because a number divide by 100 gives 1/100 of the value.
Example: Find 4 / 100
[tex]\frac{4}{100} = 0.04[/tex]
[tex]4*\frac{1}{100} = \frac{4}{100}=0.04[/tex]
Answer: Option D, Moving the decimal point two places to the left makes the number 1/100 of its original value.
What is the volume of a rectangular prism with a length of 81\2 centimeters, width of 9 1\3 centimeters, and a height of 12 2\5 centimeters?
Answers
We must use a certain formula to find the volume of a rectangular prism. The formula is:
V = l × w × h
Let's multiply the 3 dimensions together. Before we can do that, though, we must convert the mixed fractions to improper fractions.
8 1/2 = (8 × 2) + 1 / 2 = 17/2
9 1/3 = (9 × 3) + 1 / 3 = 28/3
12 2/5 = (12 × 5) + 2 / 5 = 62/5
17/2 × 28/3 = 476/6 (which can be simplified to 238/3)
238/3 × 62/5 = 14756/15
Final Answer:
The volume of the rectangular prism is 983 11/15 centimetres cubed, and 983.733 centimetres cubed (Repeating decimal) as a decimal.
A standard number cube is rolled two times. What is the probability that the sum of the two rolls is 13?
Answers
helppppppppppppppppppp
Answers
y = (x + 2) ^ 3
y = x ^ 2 + 3
Then, we see the behavior of the functions:
blue: y = (x + 2) ^ 3
red: y = x ^ 2 + 3
answer:
2 units rigth and 3 units up
(option 3)
See attached graph.