Answer:
x > 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
-4(8 - 3x) > 6x - 8
Step 2: Solve for x
Distribute -4: -32 + 12x > 6x - 8[Subtraction Property of Equality] Subtract 6x on both sides: -32 + 6x > -8[Addition Property of Equality] Add 32 on both sides: 6x > 24[Division Property of Equality] Divide 6 on both sides: x > 4Here we see that any value x greater than 4 would work as a solution to the inequality.
If i toss a fair coin five times and the outcomes are ttttt, then the probability that tails appears on the next toss is.
The probability that tails appears on the next toss is 0.5
Given,
In the question:
If I toss a fair coin five times and the outcomes are TTTTT,
To find the probability that tails appears on the next toss is.
Now, According to the question:
The possible ordered outcomes are listed as elements in a sample space, which is commonly indicated using set notation.
A sequence of five fair coin flips has a sample space that contains all potential outcomes. \(2^3\) {H, T} is the sample of a fair coin toss. {HHHHH, HHHHT, HHHTH, HHTHH, HTHHH,...…TTTTT} .
The probability of a tails result on the next flip is always equal to 0.5 It makes no difference if previous outcomes were {TTTTT} , {HHHHH} or {THTHT} In each of these and all other circumstances, the probability of the next being tails is still 0.5
Hence, the probability that tails appears on the next toss is 0.5
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it takes as input the number of tikets sold and returns as output the amount of money raised a(n) = 3n - 20
The returns when 30 tickets were sold would be $ 70 .
How to find the amount raised ?To calculate the total earnings from 30 sold tickets using the formula a ( n ) = 3 n - 20 , we must input n as 30 and assess the outcome .
Therefore, the returns raised when there were 30 tickets sold would be :
= 3 n - 20
= 3 ( 30 ) - 20
= 3 x 30 - 20
= 90 - 20
= 90 - 20
= $ 70
Therefore, with 30 tickets sold, the amount of money raised is $70.
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Question is:
How much was raised when 30 tickets were sold?
Which parent function is represented by the graph?
Answer:
This is an absolute value graph
Step-by-step explanation:
Convert the equation 3x+2y=143x+2y=14 to slope intercept form.
The equation 3x+2y=14 can be written as in the slope-intercept form is y = (-3/2)x + 7.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation of the line is:
3x + 2y = 14
The slope-intercept form is:
y = mx + c
Here m is the slope of the line and c is the y-intercept.
After arranging:
2y = -3x + 14
y = (-3/2)x + 7
Thus, the equation 3x+2y=14 can be written as in the slope-intercept form is y = (-3/2)x + 7.
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What is the slope of the line? I NEED ASAPPP PLEASEEE!!! I’ll make you brainliest if correct
Answer:
4/5
Step-by-step explanation:
rise over run, up 4 over 5
y is inversely proportional to the cube of x. It is given that for a certain value of x, the value of y is 7. Find the new value of y when x is doubled.
Inversely proportional means as one variable increases the other variable decreases.
In this problem, x is doubled which means it's increased, therefore, y is decreased.
7 / 2 = 3.5
The new value of y is 3.5
Triangle ABC has angle measures as noted below. Please note this triangle is not drawn to scale, and the longest leg of the figure may not be the longest leg of the actual triangle.
You will need to use the expressions for the angles given below.
m∠A) 3(x + 5)
m∠B) 5x+15
m∠C) 7x
Identify the angle relationship and setup your equation with the given expressions.
What is the value of x? Show your work.
What is the measure of angle A, B, & C? Show your work and make sure to identify which is which.
Answer:
<A=45°,<B=65°,<C=70°
Step-by-step explanation:
<A=3(x+5)=3x+15
<B=5x+15
<C=7x
sum angles in a triangle is 180°
so,<A+<B+<C=180
(3x+15)+(5x+15)+(7x)=180
C.L.T
3x+5x+7x+15+15=180
15x+30=180
15x=180-30
15x=150
divide both sides by 15
x=10
<A=3(x+5)=3(10+5)=3(15)=45°
<B=5(10)+15=50+15=65°
<C=7(10)=70°
is 6km is not as far as 6 miles true or false
Answer:
False.
6 miles is farther than 6 kilometers. One mile is equal to 1.60934 kilometers, so 6 miles is equal to 6 x 1.60934 = 9.65604 kilometers. Therefore, 6 miles is farther than 6 kilometers.
Step-by-step explanation:
The answer is:
trueWork/explanation:
We can't really compare two things if they have different units.
So we need to convert kilometers to miles first.
1 km is approximately equal to 0.621 miles.
So 6 km would be approximately 3.728 miles.
6 miles is further away than 3.728 miles.
Hence, the answer is true.6 km is not as far as 6 miles. And now we know why.
Someone help me. PLEASE!
Answer:
x = 25.7
Step-by-step explanation:
We know the adjacent side to the angle and the hypotenuse on a right triangle
cos theta = adj / hyp
cos 18 = x/27
27 cos 18 =x
25.67852594=x
Rounding to the nearest tenth
x = 25.7
etienne couturier and nicolas jacquet. construction of a universal ordinary differential equation c [infinity] of order 3. arxiv preprint arxiv:1610.09148, 2016.
The authors likely present a step-by-step procedure to construct such an equation. Without access to the full paper, it is not possible to provide specific details.
The paper you mentioned, "Etienne Couturier and Nicolas Jacquet. Construction of a universal ordinary differential equation C [infinity] of order 3. arxiv preprint arxiv:1610.09148, 2016," is about the construction of a universal ordinary differential equation (ODE) of order 3.
In this paper, the authors propose a method to construct a universal ODE that is of class C [infinity] (infinitely differentiable) and has a third-order derivative. The term "universal" means that the equation can approximate any smooth function arbitrarily well.
The authors likely present a step-by-step procedure to construct such an equation. However, without access to the full paper, it is not possible to provide specific details.
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-3 * 2 * a + 5(-7b) + (12 * c * 4)
* = multiplication
7th Grade Math
Pls help I’m dumb
Answer: Let's simplify step-by-step.
(((−3x)(2))(x))(a)+5(−7b)+12xcx(4)
=−6ax2+−35b+48cx2
Answer:
=−6ax2+48cx2−35b
Hope I helped?
help ASP PLEASE!!!!!!!!!!!!!
The diagram that shows all the possible outcomes when each arrow is spun once would be diagram D.
How to determine the possible outcome of the given events above?To determine the possible outcome of the given events, the following steps are carried out.
The first spinner has the outcomes listed as follows = A,B,C,D
The second spinner has the outcomes listed as follows=
Red(R) and Pink(P)
When both outcomes are merged the whole possible outcomes include the following;
= A(R and P)
B (R and P)
C ( R and P)
D ( R and P)
Therefore,the diagram that shows all the possible outcomes when the both spinners are spun once would be diagram D
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determine the distance around the track if the straight away the measures 200 meters and the diameter of the semicircles are 50 meters. use 3.14 for pi to determine the distance to the nearest meter
Answer:
Help me with my question please
Step-by-step explanation:
Simplify each trigonometric expression.
cos ²θ-1
Simplification of trigonometric expression cos²θ - 1 = cos(2θ) - cos²θ.
For simplifying the trigonometric expression cos²θ - 1, we can use the Pythagorean Identity.
The Pythagorean Identity states that cos²θ + sin²θ = 1.
Now, let's rewrite the expression using the Pythagorean Identity:
cos²θ - 1 = cos²θ - sin²θ + sin²θ - 1
Next, we can group the terms together:
cos²θ - sin²θ + sin²θ - 1 = (cos²θ - sin²θ) + (sin²θ - 1)
Now, let's simplify each group:
Group 1: cos²θ - sin²θ = cos(2θ) [using the double angle formula for cosine]
Group 2: sin²θ - 1 = -cos²θ [using the Pythagorean Identity sin²θ = 1 - cos²θ]
Therefore, the simplified expression is:
cos²θ - 1 = cos(2θ) - cos²θ
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Help me please I am having trouble figuring out the answer. Help me find the ratio.
Answer:
not equivalent to meteorologists ratio
Step-by-step explanation:
meteorologists ratio is
rainy days : sunny days = 2 : 5
last months weather is
rainy days : sunny days
= 10 : 20 ( divide both parts by LCM of 10 )
= 1 : 2 ← not equivalent to 2 : 5
Assume that demand for a commodity is represented by the equation
P = -2Q-2Q_d
Supply is represented by the equation
P = -5+3Q_1
where Q_d and Q_s are quantity demanded and quantity supplied, respectively, and Pis price
Instructions: Round your answer for price to 2 decimal places and enter your answer for quantity as a whole number Using the equilibrium condition Q_s = Q_d solve the equations to determine equilibrium price and equilibrium quantity
Equilibrium price = $[
Equilibrium quantity = units
The equilibrium price is $0 and the equilibrium quantity is 5 units.
To find the equilibrium price and quantity, we need to set the quantity demanded equal to the quantity supplied and solve for the equilibrium values.
Setting Q_d = Q_s, we can equate the equations for demand and supply:
-2Q - 2Q_d = -5 + 3Q_s
Since we know that Q_d = Q_s, we can substitute Q_s for Q_d:
-2Q - 2Q_s = -5 + 3Q_s
Now, let's solve for Q_s:
-2Q - 2Q_s = -5 + 3Q_s
Combine like terms:
-2Q - 2Q_s = 3Q_s - 5
Add 2Q_s to both sides:
-2Q = 5Q_s - 5
Add 2Q to both sides:
5Q_s - 2Q = 5
Factor out Q_s:
Q_s(5 - 2) = 5
Q_s(3) = 5
Q_s = 5/3
Now that we have the value for Q_s, we can substitute it back into either the demand or supply equation to find the equilibrium price. Let's use the supply equation:
P = -5 + 3Q_s
P = -5 + 3(5/3)
P = -5 + 5
P = 0
Therefore, the equilibrium price is $0 and the equilibrium quantity is 5 units.
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if f(x)=2x+1 and g(x)=x^2-7 find (f/g)(x)
Step-by-step explanation:
f(x)=2x+1 and g(x)=x²-7
(f/g)(x) = (2x+1)/(x²-7)
Answer:
pls answer my questions plsss
Can you please help?
who proposed that a punched card be used for counting the census?
Herman Hollerith proposed the use of punched cards for counting the census.
The punched card system for counting the census was proposed by Herman Hollerith. Hollerith was an American inventor and statistician who developed the punched card tabulating machine. He presented his idea in the late 19th century as a solution to the challenge of processing and analyzing large amounts of data efficiently.
Hollerith's system involved encoding information on individual cards using punched holes to represent different data points. These cards were then processed by machines that could read and interpret the holes, enabling the automatic counting and sorting of data. The punched card system revolutionized data processing, making it faster and more accurate than manual methods.
Hollerith's invention laid the foundation for modern computer data processing techniques and was widely adopted, particularly by government agencies for tasks like the census. His company eventually became part of IBM, which continued to develop and refine punched card technology.
In summary, Herman Hollerith proposed the use of punched cards for counting the census. His invention revolutionized data processing and laid the groundwork for modern computer systems.
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a teacher is experimenting with computer-based instruction. in which situation could the teacher use a hypothesis test for a population mean? group of answer choices
The teacher could use a hypothesis test for a population mean in the following situation:
The teacher wants to determine if computer-based instruction has a statistically significant effect on the average test scores of students in the class. The teacher can collect a sample of test scores from students who received computer-based instruction and a sample of test scores from students who did not receive computer-based instruction. Then, the teacher can use a hypothesis test for the population mean to compare the mean test scores of the two groups and determine if the difference is statistically significant.
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Complete question:
teacher is experimenting with computer-based instruction In which situation could the teacher use a hypothesis test for a ifference in two population means?
O The teacher uses a combination of treditional methods and computer based instruction She asks students # they lked computer based instruction better She wants to determine if the maorty prete the computer-based instruction
O She gives each student a pretest Then she teaches a lesson using a computer program Afterwards, she gives each student a postest The teacher wants to see f the difference in scores willshow an improvement 。
She ran om y d des the class into t goups One gup ecerves computer based instruction The other group recen es tradit na n rete wit t copters Ahe rst eten een student ha to solve a single problem. The teachers wants to compare the proportion of each group who can solve the problem 。She gives each student a pretest he then randomly dvides the class mto two groups.
Ο e group receves compte based i struct . The other go p eceves tradtind rst cto with t computers After instruction each student takes a post test. The teacher compares the improvement in scores (post test minus pretest) in the two groups
which equation shows the divison into zero property
Answer:A
Step-by-step explanation:
Factoring trinomials: m^2 +13m-36
Answer:
\(m^2 +13m-36\) does not factor.
Explanation:
\(m^2 +13m-36\) is not factorable with rational numbers.
If the ratio of children to adults is 2:9 and there are 70 children at an arts festival, how many adults are in attendance?
Answer
How to enter your answer
adults
Answer:
315
Step-by-step explanation:
If 70 children is 2 parts, one part is 35
35*9 is 315
Answer:
315 adults
Step-by-step explanation:
2:9 where 2 is children and 9 is adults.
2 = 70, therefore 1 = 35
35 x 9 = 315
three times the sum of the opposite of a number and -7
The statement three times the sum of the opposite of a number and -7
is 3( - n - 7).
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Three times the sum of the opposite of a number and -7.
Let the number be 'n' and its opposite number be '-n'.
This statement can be numerically represented as,
3( - n + (- 7)).
= 3( - n - 7).
= - 3n - 21.
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starting at the top, if you cut a square pyramid in half using a single cut, what is the shape of the newly-exposed section? (1 point)
The newly exposed section will be a triangle.
What is Cross Section?Cross section is defined as the section or shape which is exposed when something is cut through a straight plane or line.
Square pyramid consists of a square base and 4 triangular faces.
A straight single cut is done through the top to the bottom.
When the square pyramid is cut to half from it's apex, then the resulting sections will be triangles.
There will be only three sides since two sides will be joined at apex.
Hence the resulting cross section is triangle.
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a certain brand of flat white interior latex paint claims one-coat coverage of 410 square feet per gallon. the standard deviation is known to be 20. a sample of 34 gallons is tested. (a) At α = .05 in a left-tailed test, find the β risk and power assuming that the true mean is really 395 square feet per gallon. (Round your answers to 5 decimal places.)
The β risk is approximately 0.88094 and the power is approximately 0.11906.
To find the β risk and power for a left-tailed test in this scenario, we need to calculate the critical value and the test statistic.
Given:
Claimed mean coverage: μ = 410 square feet per gallon
Standard deviation: σ = 20
Sample size: n = 34
True mean coverage: μ₁ = 395 square feet per gallon
Calculate the critical value:
For a left-tailed test at α = 0.05, the critical value is found using the z-table or calculator. In this case, the critical value is -1.645.
Calculate the test statistic (z-score):
The test statistic (z-score) can be calculated using the formula:
z = (x' - μ) / (σ / √n)
where x' is the sample mean.
Substituting the values, we get:
z = (395 - 410) / (20 / √34) ≈ -1.178
Calculate the β risk:
The β risk is the probability of not rejecting the null hypothesis when it is false. We can find β using the z-score and the standard normal distribution. In this case, β ≈ 0.88094.
Calculate the power:
The power is the probability of correctly rejecting the null hypothesis when it is false. Power = 1 - β. In this case, the power ≈ 1 - 0.88094 ≈ 0.11906.
This means that there is a high risk of not detecting a true mean of 395 square feet per gallon (false negative) and a low probability of correctly detecting it (power).
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csc^2x-cscx-2=0 on the interval [0,2pi)
All possible values of 'x' for the trigonometric function on the interval [0,2pi):
x = 3π/2; 2x = π/6, 2x = 5π/6, 2x = 13π/6, 2x = 17π/6;x = 3π/2; x = π/12, x = 5π/12, x = 13π/12, x = 17π/12Explain about the solutions of trigonometric functions?The fact that so many trigonometric equations have infinitely multiple solutions rather than two makes a significant distinction. We will learn how to describe one solution of an equation in terms of all the other answers by using the inverse trigonometric functions.A periodic function known as a cosecant function is the sine function's reciprocal. The discontinuities in this function are congruent with the spots where it sine function is zero.The trigonometric function is given as:
csc²(x) - csc(x) - 2 = 0
On factorizing.
(csc(x) + 1)(csc(x) - 2) = 0.
Equation both equals to 0.
csc(x) = - 1 or csc(2x) = 2;
Thus, all possible values of 'x' for the trigonometric function on the interval [0,2pi):
x = 3π/2; 2x = π/6, 2x = 5π/6, 2x = 13π/6, 2x = 17π/6;x = 3π/2; x = π/12, x = 5π/12, x = 13π/12, x = 17π/12Know more about the solutions of trigonometric functions
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csc^2x-cscx-2=0 on the interval [0,2pi). Find the all possible values of 'x'.
this question Evaluate the expression.
(−18−−−√3)3+334=
The LHS and the RHS of the given expression do not match 240.469= -215 and so the given expression is FALSE.
What are expressions?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.
The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values.
We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra.
Here, we refer to these letters as variables.
So, we have the expression:
(−18−−−√3)3+334=(−183)3 + 334
Now, check it as follows:
(−18√3)3+334=(−183)3 + 334
-93.531+334=-549+334
240.469= -215
Ans: FALSE
Therefore, the LHS and the RHS of the given expression do not match 240.469= -215 and so the given expression is FALSE.
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Correct question:
Evaluate the expression: (−18−−−√3)3+334=(−183)3 + 334=?
How many payment periods are in a 6-year, 8% bond with an effective interest rate of 6%, and paid semiannually?.
By using the concept of Compound interest, Number of payment periods in a 6-year, 8% bond with an effective interest rate of 6%, and paid semiannually = 12
What is Compound interest?
The interest earned on savings that is calculated using both the initial principal and the interest accrued over time is known as compound interest. It is thought that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a sum more quickly than simple interest, which is only calculated on the principal sum. Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.
This problem can be solved by using the concept of compound interest
Number of payment periods are in a 6-year, 8% bond with an effective interest rate of 6%, and paid semiannually = \(6 \times 2 = 12\)
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I know this is in german but i really really need help...
Answer:
i would have helped u
Step-by-step explanation:
but i have forgotten the steps in solving this question
Answer:
is this Afrikaans laguage I don't understand your questions please comment it in English for me