Answer: x < −4
Step-by-step explanation:
4 - 2x > 12
4 - 2x/2x > 12/2x (switch it around)
x < −4
PLEASE SOLVE THIS ASAP
Answer:
Step-by-step explanation:
Please help meee now !!!!!
The cost of each music video is $1.99.
What are arithmetic operations?A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.
Given total cost of 2 music videos, a TV series and a movie is $42.95
and TV series cost 2 times as much as the movie,
cost of the movie = $12.99
cost of TV series = 2*12.99
cost of TV series = $25.98
let the cost of a video be x
so according to condition,
2x + cost of TV series + cost of the movie = $42.95
2x + 25.98 + 12.99 = 42.95
2x = 42.95 - 25.98 - 12.99
2x = 3.98
x = 3.98/2
x = $1.99
Hence the cost of a music video is $1.99.
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A car travels 22 miles for every gallon of gasoline used. The table below represents the relationship.
Answer:
22/1 = x/3
Step By Step:
Hope this helps you out in figuring the answer ;]
Answer: i looked up the table so the equation is... 22/1=x/3
x=66
Step-by-step explanation:
Next time include the table but at least it was online!
How to solve: 22 miles per 1 gallon (unit rate) = _(x/?)_ miles per 3 gallons
Cross multiply: 66=1x
x=66
OR 22*3=66, x=66
The graph of the function f(x) = –(x + 3)(x – 1) is shown below.
On a coordinate plane, a parabola opens down. It goes through (negative 3, 0), has a vertex at (negative 1, 4), and goes through (1, 0).
Which statement about the function is true?
The function is positive for all real values of x where
x < –1.
The function is negative for all real values of x where
x < –3 and where x > 1.
The function is positive for all real values of x where
x > 0.
The function is negative for all real values of x where
x < –3 or x > –1.
The true statement about the function are;
⇒ The function is positive for all real values of x, where x < –1.
What is Function?
A relation between a set of inputs having one output each is called a function.
Given that;
The graph of the function;
f(x) = –(x + 3)(x – 1)
Now,
Graph of the function is shown in attached image.
Which is a parabola, It goes through (- 3, 0), has a vertex at (- 1, 4), and goes through (1, 0).
Clearly, When x < -1
Take x = 0 < -1
The value of function;
f(x) = –(x + 3)(x – 1)
= - (0 + 3) (0 -1)
= -3 x -1
= 3
The function is positive.
Thus, The true statement about the function are;
⇒ The function is positive for all real values of x, where x < –1.
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Write the regression line equation for the following data.
X 43 21
25 42 57 59 33
Y 99 65 79 75 87 81
92
A) 0.53x - 3.58
B) 0.31x + 70.21
70.21 +0.31%
D) -3.58 +0.53x
Answer:
B) y = 0.31x + 70.21
Step-by-step explanation:
Put the data into 2 lists and use the LinReg feature on the TI-84 to get your regression equation.
The line has slope 3 and passes
through the point (-2,-5).
Answer:
y = 3x + 1
Step-by-step explanation:
y = 3x + b
-5 = 3(-2) + b
-5 = -6 + b
1 = b
Please help I want to make sure I'm right here!
Use completing the square to determine which of the following gives the solutions to 3x2 - 24x + 40 = 28.
A 2+413
O B. 4+2√3
o C. 37312
D. 6+2/5
Answer:
\(x=4+2\sqrt{3}\)
\(x=4-2\sqrt{3}\)
Step-by-step explanation:
Completing the square
when \(ax^2+bx+c=0\)
Given equation:
\(3x^2-24x+40=28\)
Subtract 40 from both sides:
\(\implies 3x^2-24x=-12\)
Divide both sides by 3:
\(\implies x^2-8x=-4\)
Add the square of half the coefficient of \(x\) to both sides:
\((\frac{b}{2})^2=(\frac{-8}{2})^2=16\)
\(\implies x^2-8x+16=-4+16\)
Factor the left side and simplify the right side:
\(\implies (x-4)^2=12\)
Square root both sides:
\(\implies x-4=\pm\sqrt{12}\)
Add 4 to both sides and simplify the radical:
\(\implies x=4\pm\sqrt{4 \cdot 3}\)
\(\implies x=4\pm\sqrt{4}\sqrt{3}\)
\(\implies x=4\pm2\sqrt{3}\)
4 x 12 = 6 x n 4
6
8
12
Answer:
2
Step-by-step explanation:
4 x 12 = 6 x 4 x n
Which gives
48 = 24n
48/ 24 = n
so n = 2
Lana has 4 bags of apples. Each bag has 9 apples. She puts an equal number of apples on each of 6 plates.
Let n be the number of apples on each plate.
What equation can be used to find n?
Simplify (p^7)^2/p^5
Given:
\(\frac{(p^7)^2}{p^5}\)Use the rules for exponents, according to the steps below.
Step 01: Use The Power Rule for Exponents.
According to this rule:
\((a^b)^c=a^{b\cdot c}\)Then,
\((p^7)^2=p^{7\cdot2}=p^{14}\)Substituting it, we have:
\(\frac{p^{14}}{p^5}\)Step 02: Use The Quotient Rule of Exponents.
According to this rule:
\(\frac{a^b}{a^c}=a^{b-c}\)Then,
\(\frac{p^{14}}{p^5}=p^{14-5}=p^9\)Answer: p⁹.
Select all the numbers that are rational
Answer:
-13/3
and the last 2
Step-by-step explanation:
The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. Every rational number can be written as a fraction a/b, where a and b are integers. For example, 3 can be written as 3/1, -0.175 can be written as -7/40, and 1 1/6 can be written as 7/6.
9. Identify a horizontal or vertical stretch or compression of the function f(x) = x² by observingthe equation of the function g(x) = 5(x)².The base graph vertically stretched by a factor of 5.The base graph horizontally compressed by a factor of 5.The base graph vertically compressed by a factor of 5.The base graph horizontally stretched by a factor of 5.
If a function f(x) is stretched vertically by a scale factor of k, then
The new function is k . f(x)
Since the given function is
\(f(x)=x^2\)Since the new function is
\(g(x)=5x^2\)Then k = 5
f(x) is stretched vertically by a scale factor of 5
The correct answer is
The base graph vertically stretched by a factor of 5
The first choice
A landscaping company estimates the price of a job,in dollars, using the expression 60 + 12nh, where n is the number of
landscapers who will be working and h is the total number of hours the job will take using n landscapers. Which of the
following is the best interpretation of the number 12 in the expression?
A The company charges $12 per hour for each landscaper.
B A minimum of 12 landscapers will work on each job.
The price of every job increases by $12 every hour.
D Each landscaper works 12 hours a day
How many more unit tiles need to be added to the expression x2+4x+3 in order to form a perfect square trinomial? 1 2 3 4.
The unit tiles that needs to be added to the equation x²+4x+3 will be 1. The correct answer is A.
A square number, also known as a perfect square, is an integer that is the square of another integer. It results from dividing two integers by two.
When converting an expression to a perfect square trinomial
x²+4x+3
We must rearrange the statement in order to transform it into the perfect square.
x²+(2x+2x)+3
Extend the formula (x+2)²
(x+2)² = x² + 2(2x) + 2(2) (2)
(x+2)² = x² + 4 + 4x
(x+2)² = x² + 4x + 4
Add the constant terms together, then subtract them.
Difference is 4 minus 3.
Difference = 1
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-3x (- -8x+52+:
+5+3)
A. 11x²8x-9
11x³8x² - 9x
B.
C. 24x³15x² - 9x
D.
24x²15x - 9
Answer:
To simplify the expression -3x(-8x+52+5+3), we can distribute the -3x to each term inside the parentheses:
-3x(-8x+52+5+3) = 24x² - 156x - 15x - 9x
Simplifying further by combining like terms, we get:
-3x(-8x+52+5+3) = 24x² - 180x - 9x
Therefore, the simplified expression is 24x² - 189x. None of the options given match this answer. Therefore, there seems to be an error in the original question.
Step-by-step explanation:
a ratio of two integers where the denominator is not 0
A ratio of two integers where the denominator is not 0 is a mathematical expression that compares the value of two integers, the numerator, and the denominator.
The ratio expresses the relative size of the numerator to the denominator. The numerator and denominator can be any integers, as long as the denominator is not equal to zero.
For example, the ratio of 3 to 4 is written as 3:4 and it means that for every 4 units, there are 3 units of the numerator. Another example is the ratio of 5 to 2, which is written as 5:2 and it means that for every 2 units, there are 5 units of the numerator.
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1400-615test the claim that the proportion of people who own cats is smaller than 90% at the 0.005 significance level. the alternative hypothesis would be:
The alternative hypothesis would be: The proportion of people who own cats is smaller than 90%.
The null hypothesis for this test would be: The proportion of people who own cats is equal to or greater than 90%.
To conduct the hypothesis test, we would need to collect a random sample of 1400 individuals and determine how many of them own cats. Based on this information, we could calculate the sample proportion of cat owners and use this to test the claim that the population proportion is smaller than 90%.
We would use a one-tailed hypothesis test with a significance level of 0.005. If the p-value for our test is less than 0.005, we would reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis that the proportion of people who own cats is smaller than 90%.
Hi! I'd be happy to help you with this question. You want to test the claim that the proportion of people who own cats is smaller than 90% at the 0.005 significance level.
To do this, we will set up our null and alternative hypotheses as follows:
Null Hypothesis (H0): The proportion of people who own cats is equal to 90% (p = 0.90)
Alternative Hypothesis (H1): The proportion of people who own cats is smaller than 90% (p < 0.90)
Here's a step-by-step explanation of how to test this claim:
1. Determine the sample size (n) and the number of cat owners in the sample (x): In this case, n = 1400, and x = 615.
2. Calculate the sample proportion (p-hat): p-hat = x/n = 615/1400 ≈ 0.439.
3. Determine the significance level (alpha): In this case, alpha = 0.005.
4. Calculate the standard error (SE) of the sample proportion: SE = sqrt[p*(1-p)/n] = sqrt[0.9*(1-0.9)/1400] ≈ 0.008.
5. Calculate the z-score: z = (p-hat - p)/SE = (0.439 - 0.9)/0.008 ≈ -57.63.
6. Find the critical z-value for a one-tailed test at the 0.005 significance level: z-critical = -2.576 (from a standard normal distribution table).
7. Compare the calculated z-score with the critical z-value: Since the calculated z-score (-57.63) is less than the critical z-value (-2.576), we reject the null hypothesis.
In conclusion, based on this analysis, we have enough evidence to support the alternative hypothesis that the proportion of people who own cats is smaller than 90% at the 0.005 significance level.
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what is the density of the rock???!!!!!!!!!!
Answer:
he actual densities of pure, dry, geologic materials vary from 880 kg/m3 for ice (and almost 0 kg/m3 for air) to over 8000 kg/m3 for some rare minerals. Rocks are generally between 1600 kg/m3 (sediments) and 3500 kg/m3 (gabbro).
Step-by-step explanation:
In each table, y and x are in a proportional relationship.
Select the table with a constant of proportionality of –3.
A. 'x' is 1 2 3. 'y' is -3,-6,-9
B. 'x' is 1, 2, 3. 'y' is -1, -2, 0
C. 'x' is 1, 2, 3. 'y' is -3, -3, -3
D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1
The table with a constant of proportionality of –3 are
A. 'x' is 1 2 3. 'y' is -3,-6,-9
A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3
A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1
y = k × x
where,
k = constant of proportionality
A. 'x' is 1 2 3. 'y' is -3,-6,-9
y = k × x
-3 = k × 1
- 3 = k
k = -3
B. 'x' is 1, 2, 3. 'y' is -1, -2, 0
y = k × x
-1 = k × 1
-1 = k
k = -1
C. 'x' is 1, 2, 3. 'y' is -3, -3, -3
y = k × x
-3 = k × 1
-3 = k
k = -3
D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1
y = k × x
-3 = k × 1
-3 = k
k = -3
or
y = k × x
-3/2 = k × 2
-3/ 2 = 2k
k = -3/2 ÷ 2
k = -3/2 × 1/2
k = -3
Therefore, the table with a constant of proportionality of –3 are
A. 'x' is 1 2 3. 'y' is -3,-6,-9
A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3
A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1
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An oblique prism with a square base of edge length x United has a volume of 1/2 x3 cubic units. Which expression represents the heights of the prism
Answer:
The answer is x units.
Step-by-step explanation:
We are tasked to solve for the expression that represents the height of the prism. We are given with the following values:
length = x² units
volume = x³ units
We will use the formula below:
V = length x height
x³ = x² * height
height = x³/x units
height = x units
The answer is x units.
Step-by-step explanation:
Select the correct answer.
Which equation represents a function?
Answer:
C
Step-by-step explanation:
'x=' create vertical lines which are not functions whereas
'y=' create horizontal lines which are functions
To find the inverse of f(x) = 3x - 10, Jenna begins by replacing f(x) with y.
What is the next step?
A. Replace y with f'(X).
B. Subtract 10 from both sides of the equation.
C. Switch x and y.
D. Solve the equation for x.
Answer: Switch x and y
A function assigns the value of each element of one set to the other specific element of another set. The correct option is C.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
To find the inverse of f(x) = 3x - 10, Jenna begins by replacing f(x) with y. The next step is to Switch x and y. And further, solve the equation for x.
Hence, the correct option is C.
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Consider a 1-D harmonic oscillator and a trial wavefunction of the form ψ(x)=A/(x^2 + α^(2)), [20] where A is the normalization constant and α is an adjustable parameter. (a) Determine A. [3] (b) Estimate the ground-state energy of the harmonic oscillator. [12] (c) Check whether ⟨H⟩ overestimates or underestimates the solution you obtained in 3(b), and hence describe the validity of the variational principle in this case. [5]
a.we get, `A = √(2α³/π)`.
b.`⟨H⟩ = (3/4)hω - (h²/4ma²)` where `a = α/√(mω/h)`.
c.we can say that the variational principle is valid in this case.
(a) Let's find the normalization constant A.
We know that the integral over all space of the absolute square of the wave function is equal to 1, which is the requirement for normalization. `∫⟨ψ|ψ⟩dx= 1`
Hence, using the given trial wavefunction, we get, `∫⟨ψ|ψ⟩dx = ∫ |A/(x^2+α²)|²dx= A² ∫ dx / (x²+α²)²`
Using a substitution `x = α tan θ`, we get, `dx = α sec² θ dθ`
Substituting these in the above integral, we get, `A² ∫ dθ/α² sec^4 θ = A²/(α³) ∫ cos^4 θ dθ`
Using the identity, `cos² θ = (1 + cos2θ)/2`twice, we can write,
`A²/(α³) ∫ (1 + cos2θ)²/16 d(2θ) = A²/(α³) [θ/8 + sin 2θ/32 + (1/4)sin4θ/16]`
We need to evaluate this between `0` and `π/2`. Hence, `θ = 0` and `θ = π/2` limits.
Using these limits, we get,`⟨ψ|ψ⟩ = A²/(α³) [π/16 + (1/8)] = 1`
Therefore, we get, `A = √(2α³/π)`.
Hence, we can now write the wavefunction as `ψ(x) = √(2α³/π)/(x²+α²)`.
(b) Using the wave function found in part (a), we can now determine the expectation value of energy using the time-independent Schrödinger equation, `Hψ = Eψ`. We can write, `H = (p²/2m) + (1/2)mω²x²`.
The first term represents the kinetic energy of the particle and the second term represents the potential energy.
We can write the first term in terms of the momentum operator `p`.We know that `p = -ih(∂/∂x)`Hence, we get, `p² = -h²(∂²/∂x²)`Using this, we can now write, `H = -(h²/2m) (∂²/∂x²) + (1/2)mω²x²`
The expectation value of energy can be obtained by taking the integral, `⟨H⟩ = ⟨ψ|H|ψ⟩ = ∫ψ* H ψ dx`Plugging in the expressions for `H` and `ψ`, we get, `⟨H⟩ = - (h²/2m) ∫ψ*(∂²/∂x²)ψ dx + (1/2)mω² ∫ ψ* x² ψ dx`Evaluating these two integrals, we get, `⟨H⟩ = (3/4)hω - (h²/4ma²)` where `a = α/√(mω/h)`.
(c) Since we have an approximate ground state wavefunction, we can expect that the expectation value of energy ⟨H⟩ should be greater than the true ground state energy.
Hence, the value obtained in part (b) should be greater than the true ground state energy obtained by solving the Schrödinger equation exactly.
Therefore, we can say that the variational principle is valid in this case.
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whats 10 times 10? also 6 times 6
Answer:
10 x 10 = 100
6 x 6 = 36
:)
Answer:
10*10=100 | 6*6=36
Step-by-step explanation:
Well, 100/10=10
36/6=6
--------------
10+10+10+10+10+10+10+10+10+10=50+50=100
6+6+6+6+6+6=18+18=36
f(x)=log5x what Is the range of the function
The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.
The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.
The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm
log5(�)log 5 (x) for �>0 x>0.
Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).
In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.
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Answer: All real numbers
Step-by-step explanation:
Edge
C-Ice is a canned beverage made from tea and cannabis that is marketed in Europe as a nutritional drink that can boost the user's immune system. It can only be purchased at health food stores. This limitation on the _____ element of its marketing mix strategy supports the product’s competitive advantage.
a. planning
b. product
c. promotion
d. distribution
e. production
2. Which of the following is NOT an example of a product's tangible feature?
a. brand equity
b. packaging
c. color
d. weight
e. size
This limitation on the distribution element of its marketing mix strategy supports the product’s competitive advantage.
The one which is not representing an example of a product's tangible feature is brand equity.
The limitation on the distribution element of the marketing mix strategy supports the product's competitive advantage.
By exclusively selling C-Ice at health food stores,
The company creates a selective distribution channel that positions the product as a specialized and premium offering.
This limited availability enhances the perception of exclusivity.
And uniqueness, potentially attracting health-conscious consumers who value natural and nutritional products.
Brand equity is not an example of a product's tangible feature.
Brand equity refers to the intangible value and perception associated with a brand,
Such as its reputation, customer loyalty, and brand recognition.
Tangible features, on the other hand, are physical characteristics of a product that can be observed or measured.
Examples of tangible features include packaging, color, weight, and size.
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HELPPPPPP ASAPPPPPP PLEASEEE
Answer:
here
Step-by-step explanation:
-3,3
2,3
3,3
4,3
I hope this helped! :D
What is 100x200x40/20?
Answer:
40,000
Step-by-step explanation:
100 x 200 = 20000
20000 x 40 = 800000
800000 ÷ 20 = 40,000
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Answer:
40,000 hoped this helped have a nice day :)
Example 12. x, y, and = are the measures of the angles shown in the figure. The sum of y
and - in terms of x is:
A.2x B. 90° + x C.180º – X D. 180° – 2x E. 90° – x
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