The number will be greater than 54 such that a negative one-sixth of a number is less than -9.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
A mathematical phrase in which the sides are not equal is referred to as being unequal.
Inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
Let's suppose that number is x
Then,
negative one-sixth of x
-(1/6)x is less than -9
-(1/6)x < -9
-x < -54
Multiplying by - will change the sign of inequality
So,
x > 54
Hence "The number will be greater than 54 such that a negative one-sixth of a number is less than -9".
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The function f(x)= 70x^3/4 power can be used to estimate the BMR (Basic Metabolic Rate) of mammals. In this function, x is the mass of the animal in kilograms, and f(x) is its BMR in kilocalories (kcal) per day. Note that one kcal is equal to one food calorie. The howler monkeys at a zoo are fed a diet that contains 3.35 kcal per gram. Write a function g(x) that gives the mass of food in grams that a howler monkey must eat to obtain x kilocalories of energy. Please help!
Michaela climbed up a mountain at an Average speed of 3 mi/h. She climbed down at an average speed of 5 mi/h. What is Michaela's average speed for the entire trip? Round to the nearest tenth
To find Michaela's average speed for the entire trip, we need to calculate the total distance traveled and the total time taken. The average speed can be calculated as (2D) / (D/3 + D/5), which is approximately 3.53 mi/h.
Explanation:To find Michaela's average speed for the entire trip, we need to calculate the total distance traveled and the total time taken.
Let's assume the distance she climbed up the mountain is D. The distance she climbed down is also D since she retraced her steps. The average speed for climbing up is 3 mi/h and the average speed for climbing down is 5 mi/h.
The total distance is 2D and the total time is D/3 + D/5. Therefore, the average speed can be calculated as (2D) / (D/3 + D/5).
Simplifying this expression gives us the average speed as 3.53 mi/h (rounded to the nearest tenth).
John surveyed 30 members of a country club. He found that 9 members had signed up for tennis.
What is the experimental probability that the next member surveyed will sign up for tennis?
A.
0.3
B.
0
C.
0.7
D.
1
The experimental probability that the next member surveyed will sign up for tennis is 0.3, based on the current data where 9 out of 30 members have signed up.
The question is asking for the experimental probability that the next member surveyed at the country club will sign up for tennis based on a survey of 30 members where 9 had already signed up for tennis.
To calculate the experimental probability, you divide the number of members who have signed up for tennis by the total number of members surveyed. So, the calculation would be:
Number of members who signed up for tennis: 9Total members surveyed: 30The experimental probability is then calculated as 9/30, which simplifies to 0.3. Therefore, the correct answer is:
A. 0.3
20! / 16! = a 24 b 11,628 c 116,280 d A number too big to compute
20! / 16! =
20*19*18*17*16*15*14*13*12*11*10*9*8*7*6*5*4*3*2*1
divided by
16*15*14*13*12*11*10*9*8*7*6*5*4*3*2*1
equals C. 116,280
Mattie,Joel,and Oscar each ate 325 calories at lunch each day for 18 days.About how many calories did they eat in all
3(x+y)=y, if (x,y) is a solution to the equation above and y cannot equal to zero what is the ratio x/y
The ratio, x/y in the equation, if y ≠ 0 is: x/y = -2/3.
What is the Solution of an Equation?Solution of an equation is the value of a variable or two variables that makes an equation true.
Given:
3(x+y)=y
We are required to find the ratio, x/y if y ≠ 0.
Thus:
3(x+y)=y
Open bracket
3x + 3y = y
Subtract 3y from both sides
3x = y - 3y
3x = -2y
Divide both sides by 3
x = -2y/3
Divide both sides by y
x/y = -2/3
Therefore, the ratio, x/y in the equation, if y ≠ 0 is: x/y = -2/3.
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Prove: The midsegment between sides Line segment AB and Line segment BC is parallel to side Line segment AC.
Why would someone choose to use a graphing calculator to solve a system of linear equations instead of graphing by hand? Explain your reasoning.
Sample Response: A graphing calculator is more accurate than graphing by hand. If the slope and/or y-intercept is a fraction or decimal, it is more difficult to accurately graph by hand. Using a calculator might also be more time efficient because it might accept a line in any form. A calculator’s window can be adjusted quickly instead of having to redraw a graph by hand when adjusting the scale.
For time efficiency and to get a more precise solution.
Why a graphing calculator is better than graphing by hand?
There are two reasons.
1) In a graphing calculator you only need to input the functions and that's all, it will graph the functions for you, so it needs a lot less time than graphing by hand.
2) When you graph by hand, there is a limit in how much of an exact solution you can get (and there may be a mistake if the line is to thick or something like that). While in a graphing calculator you can find the exact point where the graphs intersect, so you will get a more precise solution with a graphing calculator.
These are the two reasons why using a graphing calculator may be better than graphing by hand.
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Identify each sequence below as geometric, arithmetic, or neither.
(a) 1, 3, 5, 7, 9, 11, 13, 15
(b) 21, 16, 12, 9, 7, 6
(c) .3, .03. .003, .0003, .00003
(d) -4, -12, -36, -108, -324
Sequence (a) is an arithmetic sequence because the common difference is constant. Sequence (d) is a geometric sequence because the common ratio is constant. Sequences (b) and (c) do not follow the patterns of arithmetic or geometric sequences and are neither.
Explanation:The question asks to identify each sequence as arithmetic, geometric, or neither.
Arithmetic sequence: In an arithmetic sequence, the difference between successive terms is constant. This difference is also called the common difference. For example, the sequence (a) 1, 3, 5, 7, 9, 11, 13, 15 is an arithmetic sequence because the common difference between the terms is 2.Geometric sequence: In a geometric sequence, the ratio of any two successive terms is constant. This ratio is also called the common ratio. For example, the sequence (d) -4, -12, -36, -108, -324 is a geometric sequence because the common ratio between the terms is 3.Neither: If a sequence is not arithmetic or geometric, it is classified as neither. For example, the sequence (b) 21, 16, 12, 9, 7, 6 and (c) .3, .03, .003, .0003, .00003 do not follow the patterns of arithmetic or geometric sequences and therefore are classified as neither.Learn more about Sequence Identification here:https://brainly.com/question/30531377
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Which conjunction or disjunction is equivalent to the this inequality?
5-3 |p+4| <= -10
p + 4 ≤ 5 AND p + 4 ≥ -5
p + 4 ≤ 5 OR p + 4 ≥ -5
p + 4 ≥ 5 OR p + 4 ≤ -5
p + 4 ≥ 5 AND p + 4 ≤ -5
A triangle has two sides of length 2 and 17. what is the smallest possible whole-number length for the third side?
Find height of triangle given hypotenuse and angle
5 with a negative exponent of 4 over 5 with a exponent of 3 simplified
A.) 5 with an exponent of 7
B.) 5 with a negative exponent of 1
C.) 1 over 5 (fraction)
D.) 1 over 5 with an exponent of 7
What is descriptive statistics and inferential statistics?
Descriptive statistics is a one type of statistics which involve generalization of conclusions from small selected samples.
Inferential statistic is atype of statistic which involve summarization of data in numerical form.
What two numbers have the product of -135 and the sum of 6?
Is this right? Domain and range of a function
Factor the expression completely over the complex numbers.
x4−625
The number of males per 100 females in a country's population is called what?
I need help with #22
Answer:
[tex]4 = y \\ 4 = x[/tex]
Step-by-step explanation:
The isosceles triangle containing the side of y + 12 is congruent to 3x² - 32 [base angles are congruent], and if you look closer, they are also equivalent to all three sides of the equilateral triangle adjacent to the isosceles triangle. So, we will be working with alot gadgets here, if you know what I mean. Anyway, this is how we start out:
[tex]5y - 4 = y + 12[/tex]
-5y - 5y
___________________
-4 = -4y + 12
-12 - 12
____________
-16 = -4y
___ ___
-4 -4
4 = y [Plug this back into both equations to get the value of 16.]
Next, you will set 3x² - 32 equal to 16:
[tex]16 = 3{x}^{2} - 32[/tex]
+32 + 32
_________________
48 = 3x²
__ ___
3 3
16 = x²
4 = x [In this case, we want the NON-NEGATIVE root because inputting a -4 for x will not give us identical answers.]
I am joyous to assist you anytime.
Graph the system of constraints and find the value of x and y that maximize the objective function.
We want to maximize C, which is C= 7x - 3y. Let's explore our intuition regarding how this will look. We know that both y and x are greater than or equal to zero, which means -3y will be a negative number (or 0) and x is a positive number (or 0). We want to get x as big as possible, given the constraints, we want y to be zero, if possible
We see that, based on the constraints, y is greater than or equal to zero,
but it has no other minimum value established. We only know that y and x add up
to 5, and that y is less than or equal to (1/5)x + 2. That means y could be
0 and still satisfy the constraints.
In order to maximize C, we want to be 5 as possible
and y to be zero:
C = 7 (5) - 3(0)
C=35
Answer: Solving Systems Using Matrices Quiz Part 1
1. c) (5,0)
2. a) 20 of type A; 20 of type B
3. d) no solution
4. a) -5
5. d) 11 -12 7 5 12 -7
6. a) (-6,8)
When seven times a number is decreased by 66 the result is 50. what is the number?
is the function f(x)=4-7x^5 a polynomial function? if so state its degree and leading coefficient
Answer:
Degree would be 5 and leading coefficient is -7
Step-by-step explanation:
To identify the leading look for the number with the biggest power. The degree is the power and the leading is the main number.
Yes, the function f(x) = 4 - 7x^5 is a polynomial function with a degree of 5 and a leading coefficient of -7.
Explanation:Yes, the function f(x) = 4 - 7x5 is a polynomial function.
A polynomial function is a function where the variable (x) is raised to a non-negative integer power and multiplied by coefficients. In this case, x is raised to the power of 5 which is a non-negative integer.
The degree of a polynomial function is the highest power of the variable. In this case, the degree of the function is 5.
The leading coefficient is the coefficient of the term with the highest power of the variable. In this case, the leading coefficient is -7.
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solve
5t < -15
^^^(the < sign has a line underneath along with the answers)
A. t > 3
B. t < 3
C. t > -3
D. t < -3
Numbers mr. wahl is thinking of two numbers. the sum of the numbers is 27. the product of the numbers is 180. what two numbers is mr. wahl thinking of?
How do I prove the corresponding angles theorem?
Final answer:
The corresponding angles theorem states angles in matching corners are equal when two parallel lines are intersected by a transversal. To prove this, use properties of parallel lines and transversals, and various established theorems. Euclidean postulates are employed, rather than the Pythagorean theorem or trigonometry.
Explanation:
To prove the corresponding angles theorem, one must understand that when two parallel lines are intersected by a transversal, the angles in matching corners are equal. These are called corresponding angles. For instance, suppose you have two parallel lines L1 and L2, and a transversal T that intersects them at points A and B respectively. The angle ∠PAB on line L1 would correspond to angle ∠QBA on line L2, and they would be equal.
To provide a mathematical proof, one would typically use properties of parallel lines and transversals, or other established theorems such as the alternate interior angles theorem or the exterior angle theorem. By proving all these other angles are equal due to their relationships with each other (alternate interior, consecutive interior, alternate exterior angles, etc.), one can by default establish that corresponding angles must also be equal.
Proof of this theorem often involves constructing supplementary and congruent angles and using the postulates of Euclidean geometry. The Pythagorean theorem and trigonometry need not be involved in this proof unless one is working with right triangles formed by the transversal and the parallel lines, or if dealing with more complex geometric problems.
Factor. 2xy+5x−12y−30
this is the anwser to your problem
(2y+5)(x-6)
The Statement of Theorem should be in what form?
if-then
then-if
maybe-conclusion
does not matter
Answer: If/then.
Step-by-step explanation: A theorem is a statement that has been proven on the basis of other statements, for example other theorems, which are known to be true.
We use the pattern "If A...., then B..." when we known that "A" is a statement that is true and we want to declare that since A is true, B should also be true.
Help pleaseeeeeeeeeeeeeeeeeeeeeee
How to find the variance of a sample with only mean standard deviation size?
A rectangular sandbox has a width of 5 feet. The sandbox is 5 times as long as it is wide. what is the perimeter of the sandbox?