Statement B is the one that is NOT always true.
Explanation of which statement is not always true among given mathematical statements.
To determine which statement is not always true among the given options, let's analyze each one:
A. The sum of two rational numbers is rational - Always TrueB. The product of two irrational numbers is rational - Not Always True. For example, √2 multiplied by √2 equals 2, which is rational.C. The sum of a rational number and an irrational number is irrational - Always TrueD. The product of a nonzero rational number and an irrational number is irrational - Not Always True. For example, 1 (rational) multiplied by √2 (irrational) equals √2 (irrational).Based on the analysis,
Statement B is the one that is NOT always true.
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?
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)
its actually c, and e
Step-by-step explanation:
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
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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what is the solution of the equation x^2-1=0
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" .
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.
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
Answer:
the answer is 4 not three
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.
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
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 !
solve the following system of equations: -2x+y=1
-4x+y=-1
A)(3,1)
B)(-1,3)
C)(-1,-3)
D)(1,3)
The ratio of two supplementary angles is 6:3. what is the measure of the smaller angle?
A standard number cube is rolled two times. What is the probability that the sum of the two rolls is 13?
I really need help ASAP
Which set of ordered pairs represent a function
Answer: second set
Step-by-step explanation:
Give the values a, b, and c needed to write the equations standard form. 2/3(x-4)(x+5)=1
Answer:I agree
Step-by-step explanation:
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
Solve the inequality and then graph its solution: 7s + 12 > 46 - 10s
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
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.
what is the value of x?
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 cosecant of angle y?
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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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.
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.
5.1x10^-1 as an ordinary number?
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?
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
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.
plzz hellp :( i will mark you the brainlist if some on helps (A rectangular prism has a length of 1 1/4 yards, a width of 2 1/2 yards, and a height of 4 yards.
Enter the volume of the prism as a mixed number in simplest form in the box.
helppppppppppppppppppp
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]
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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I don't understand this question.
the instructions say: "In exercises 1-4,tell whether the ordered pair is a solution of the inequality."
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?
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.
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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