Answer: 4% of ___days is 56 days Answer If 0.04x = 56 days 0.01x = 14 days x = 14*100 = 1400 days To see more answers head over to College Study Guides
Step-by-step explanation:
In 91.72 which digit is in the tens place?
Answer:
9
ten's go for the number 10
91=9-1 9 in 90 so its 9.
so therefore your answer is 9
Step-by-step explanation:
-5x + 7(x + 4) = 3x + 31
Answer:
your ansawer 2.55 i sorry if i am worng
Step-by-step explanation:
What is the simplified form of \(\sqrt{400x ^{100}\)
Answer:
\(20x^{50}\)
Step-by-step explanation:
This is because you are simplifying the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
There is your answer!
John bought a new television for $540. This total cost included a delivery charge of $12 plus taxes of 14%. Determine the cost of th television before the delivery charge and th taxes.
The cost of the television before the delivery charge and taxes is $452.40.
To determine the cost of the television before the delivery charge and taxes, we need to subtract those amounts from the total cost.
Delivery charge: $12
Taxes: 14% of the cost
Let's calculate the taxes first. The tax amount is found by multiplying the total cost by 14% (or 0.14):
Tax amount = 0.14 * $540 = $75.60
Now, we subtract the delivery charge and tax amount from the total cost to find the cost of the television before these additional charges:
Cost of television = Total cost - Delivery charge - Taxes
Cost of television = $540 - $12 - $75.60
Cost of television = $452.40
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The length in inches of each side of a square is given by the expression x+2. The area of the square can be represented by (x+2)^(2)-16=0 when the area is 16 square inches. What is the value of x?
Answer:
x = 2
Step-by-step explanation:
the area (A) of a square is calculated as
A = s² ( where s is the side length )
given s = x + 2 and A = 16 , then
(x + 2)² = 16 ( take square root of both sides )
x + 2 = \(\sqrt{16}\) = 4 ( subtract 2 from both sides )
x = 2
0.63 repeating as a fraction
Answer:
63 100
Step-by-step explanation:
To convert the decimal 0.63 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one: 0.63 = 0.63 1.
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
Answer:
7/11
Step-by-step explanation:
The sequence {n sin (4/n)}^infinity_n = 1 If the sequence converges, find its value, if it diverges, enter DNE in the blank. lim n rightarrow infinity sin (4/n) =
The sequence converges to 4.
We can begin by finding the limit of sin(4/n) as n approaches infinity. We know that as x approaches 0, sin(x)/x approaches 1. So we can rewrite sin(4/n)/4/n as (sin(4/n)/4/n) * (4/n)/1, which simplifies to sin(4/n)/4 * n.
Thus, as n approaches infinity, sin(4/n)/4 approaches 1, and the sequence {n sin (4/n)} approaches 4 * infinity, which is infinity. Therefore, the sequence diverges.
However, if we consider the modified sequence {sin(4/n)/(1/n)}, we can see that it is of the form 0/0, which is indeterminate. We can apply L'Hopital's rule to get lim n->infinity sin(4/n)/(1/n) = lim n->infinity (cos(4/n) * (-4/n^2)) = 0.
Therefore, by the squeeze theorem, we can conclude that {sin(4/n)/(1/n)} converges to 0, and {n sin(4/n)} approaches 4 * 0 = 0 as well.
Thus, the original sequence does not converge, but the modified sequence converges to 0.
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consider the equation of the line y=-2x+4 what is the value of y when x=2
Answer: The value of y is 8
Step-by-step explanation:
Since we know x=2 we can sub in 2 for x in the equation
y=2(2)+4
y=4+4
y=8
PLEASE HELP ASAP I WILL GIVE BRAINLIEST!!!
Answer:
try -5
Step-by-step explanation:
mainly because it says -3 plus 5 and there's only 4 and 5 so It can't really go further
Answer:try -5
Step-by-step explanation:
mainly because it says -3 plus 5 and there's only 4 and 5 so It can't really go further
What is the length of one side if the area of a square is 16 m²
Answer:
s = 4 m
Step-by-step explanation:
the area (A) of a square is calculated as
A = s² ( s is the side length )
given A = 16 m² , then
s² = 16 ( take square root of both sides )
s = \(\sqrt{16}\) = 4 m
Answer:
4m
Step-by-step explanation:
All the sides of a square are equal lengths. So 2 numbers that are the same must equal 16m^2.
A number times itself is known as a square number. The value of this square number is 16 m².
It can be shown like this:
a²= 16 m² or a×a = 16 m²
The reverse of squaring numbers is square root. To find the value of one side you can do √16. √16 = 4. We can check this by substituting (replacing) 4 in the place of 'a' to see if the answer is 16.
a×a = 16 m²
4 × 4 = 16
Therefore, the length of one side of the square equals to 4m.
help meeeeeeeeeeeee pleaseeee rnnn!!!
Using the area of the rectangle given, the length and width of the rectangle are 12 miles and 6 miles respectively
Area of a RectangleTo find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
In the question, we are given that the width is 6 miles less than the length of the rectangle and the area is 72 squared miles.
Let;
w = widthl = lengthw = l - 6
A = l * w
72 = l * (l - 6)
72 = l² - 6l
l² - 6l - 72 = 0
solving the quadratic equation and taking the positive value;
l = 12 miles
This implies that width will be
w = l - 6; w = 12 - 6 = 6 miles
The length is 12 miles and width is 6 miles.
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Complete the process of solving the equation.Fill in all missing terms and select all missing descriptions. Simplify any fractions.3(90 + 12) - 16 = 2027 + 3616 = 20Apply the distributive property270 + 20= 20Subtract 36 from both sides270 = 0Subtract 20 from both sidesU = 0Divide both sides by 27
The second description is not suitable.
It should be "simplify the terms" sice you are just adding 36 and -20.
Consider the given expression,
\(3\mleft(9u+12\mright)-16=20\)Apply the distributive property,
\(\begin{gathered} 3(9u)+3(12)-16=20 \\ 27u+36-16=20 \end{gathered}\)Combine like terms,
\(27u+20=20\)Subtract 20 from both sides,
\(27u=0\)Divide both sides by 27,
\(u=0\)Uncle Zack spent $36 at a book store. He bought science fiction and mystery novels. The science fiction novels cost $10 apiece and the mystery novels cost $2 apiece. If Uncle Zack bought 6 novels, how many of each type did he buy?
science fiction novels
mystery novels
PLEASE HELP!!!
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 3 science fiction novels and 3 mystery novels
Explanation:
10x + 2x = 36
12x = 36
x = 3
10(3) + 2(3) = 36
meaning 3 of each book
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Dillon and Samantha work at two different grocery stores. Dillon made $41.50 for working 5 hours and Samantha made $50.40 for 6 hours. Who makes more money per hour?
Answer:
Samantha makes more money with $8.40 an hour.
Explanation:
$41.50 divided by 5 is $8.30, and %50.40 divided by 6 is $8.40.
Answer:
Samantha makes more
Step-by-step explanation:
Dillon:
41.50/5 would = $8.3 an hr
Samantha:
50.40/6 would =$8.4 an hr
A monk crossbred plants, which can have purple or white flowers, and obtained 785 plants with white flowers and 262 plants with purple flowers. Find the experimental probability that
a plant had each type of flower.
The probability a plant had white flowers is. (Round to two decimal places as needed.)
The probability a plant had purple flowers is (Round to two decimal places as needed.)
Answer: option 2
Step-by-step explanation:
The square root of 75 will result in an answer that is between what two whole numbers?
A. 7 and 8
B. 8 and 9
C. 9 and 10
D. 6 and 7
Answer: B
Step-by-step explanation:
hope this helps x have a great friday :)
Determine if the following statements are true or false based on the definitions of the functions:
f(x) = 1/x^2 and t(x) = −1/(x+2)^2
The statement is false .Hence, the only true statement is that t(x) is a decreasing Function
The functions f(x) = 1/x² and t(x) = -1/(x+2)² are used to determine if the following statements are true or false.
Let us evaluate the statements and see whether they are true or false.
a) f(x) is an even function since f(-x) = f(x)The statement is false.
A function is said to be even if it satisfies f(x) = f(-x).
However, we can see that f(-x) = 1/(-x)² ≠ f(x) = 1/x².
Therefore, f(x) is not an even function.
b) t(x) is an even function since t(-x) = t(x)
The statement is false. We have, t(-x) = -1/(-x+2)² = -1/(x-2)², which is not equal to t(x) = -1/(x+2)².
Therefore, t(x) is not an even function.c) t(x) is a decreasing functionThe statement is true.
We say that a function is decreasing if it satisfies f(x) > f(y) when x < y. Differentiating t(x) using the chain rule, we have t'(x) = 2/(x+2)³ which is always negative since (x+2)³ > 0 for all x.
Hence, t(x) is a decreasing function.d) f(x) and t(x) intersect at x = −1
The statement is false.
We can find the point of intersection by equating f(x) and t(x) and then solving for x. 1/x² = -1/(x+2)².
On cross multiplying, we obtain (x+2)² = -x².
Expanding the squares gives 4x+4 = 0, which implies x = -1.
However, this value of x does not satisfy the original equation, hence there is no intersection point.
Therefore, the statement is false .
Hence, the only true statement is that t(x) is a decreasing function.
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Four stores are having a sale on video games. Circuit Shop is selling 6 games for $24.72. Electronic Center is selling 5 games for $20.50. Game Shop has 8 games for $32.00, and Cyber Central has 4 games for $17. Which store has the best deal?
A - Cyber Central
B - Electronic Center
C - GameShop
D - Circuit Shop
Answer: Its gameshop its being sold for only 4 dollars each
Step-by-step explanation:
you divide each sum of money by the amount of games and that tells you X the price per game
PLEASE HELP ASAP!!!!
A music store sells CD's with a 50% markup. If the store buys the CD for $7.80, what is the markup? What is the selling price?
(a) The markup is $3.9.
(b) The selling price of the CD is $11.70.
What is the markup?
The markup of the CD is calculated by applying the following formula.
The markup = 50% x $7.80
The markup = ( 50 / 100 ) x $7.80
The markup = 0.5 x $7.80
The markup = $3.9
The selling price of the CD is calculated as follows;
selling price = $7.80 + $3.9
selling price = $11.7
Thus, the selling price of the CD is a function of the cost price, and mark up price. So the final selling price of the CD is $11.7 while the mark up is $3.9
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Can someone answer all these questions
If the perimeter is 16' the sum of the length and width must be 8'. Assuming that area is non 0 possible dimensions are:
1x7 2x6 3x5 4x4 5x3 6x2 7x1
Item 3 The Hampton family used 17,158 kilowatts of electricity last year. They used about the same amount of electricity each week. About how many kilowatts of electricity did the Hampton family use each week? (There are 52 weeks in a year).
Which value would complete the table to make the relationhip between the two quantitie proportional?
x 1 2 3 4 5
y 26. 8 53. 6 ? 107. 2 134
The value that would complete the table to make the relationship between the two quantity proportional is 4.
what is quantity proportional?When two quantities are proportional, their relationship is constant for all values and as one quantity rises, the other rises as well.
A proportional relationship exists between two quantities if they can be written in the general form y = kx, where k is the proportionality constant. In other words, the ratio between these amounts never changes. In other words, no matter which pair of the two numbers you divide, you always obtain the same number k.
The value that would complete the table to make the relationship between the two quantity proportional is 4.
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Evaluate the function rule for the given value. Y=12×3^x for x=-2
Answer:
Y = 4/3
Step-by-step explanation:
Solve for Y:
3 Y = 4
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 3 Y = 4 by 3:
(3 Y)/3 = 4/3
Hint: | Any nonzero number divided by itself is one.
3/3 = 1:
Answer: Y = 4/3
Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression. He sets the expressions equal to y and graphs the equations. What is the greasiest possible number of intersections for these graphs?
The greasiest possible number of intersections for these graphs is 2 if the Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression.
What is a quadratic equation ?Any equation of the form \(\rm ax^2+bx+c=0\) where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
\(\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}\)
As we know the standard form of a quadratic equation is:
\(\rm Y = \rm ax^2+bx+c\)
And a linear equation can be written as:
y = mx + d
Equating both the expression:
ax² + bx + c = mx + d
ax² + (b-m)x + c - d = 0
The above equation is an also quadratic equation, and we know that the quadratic equation have maximum two roots.
Thus, the greasiest possible number of intersections for these graphs is 2 if the Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression.
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Assume that a particle is described by the wave function ψ(x)=(2πσ)−1/4exp[−x2/(4σ)]. (i) Confirm that this wave function is normalised. (ii) Calculate the expectation values ⟨x^2⟩ and ⟨p^2⟩ as a function of σ.
The expectation values ⟨x2⟩ and ⟨p2⟩ as a function of σ are given by,⟨x2⟩ = πσ and ⟨p2⟩ = π/2σ.
The given wave function is ψ(x) = \([2\pi \sigma](-1/4) e^{-x_2/(4\sigma)}\).
To confirm that this wave function is normalized, we need to perform the following steps:
i) ∫ψ(x)*ψ(x) dx from -infinity to +infinity.
ii) Solve the above integral and check if the result is equal to 1.
After performing the above steps, we get the following results
As per the given problem, the wave function is given by,ψ(x) = \([2\pi \sigma](-1/4) e^{-x_2/(4\sigma)}\).
We need to confirm that this wave function is normalized.
For that, we need to perform the following steps:
i) ∫ψ(x)*ψ(x) dx from -infinity to +infinity.
ii) Solve the above integral and check if the result is equal to 1.
Substituting the wave function, we get,
\(\int\limits^\infty_{-\infty} {2\pi\sigma(-1/4)e^{-x_2/4\sigma} \times 2\pi\sigma(-1/4)e^{-x_2/4\sigma} \, dx\)
Now, ∫exp[-x2/(2σ)]dx from -infinity to +infinity can be solved as follows:
Let y = x/(√2σ)
Substituting the limits, we get,
\(∫exp[-x2/(2σ)]dx from -infinity to +infinity = √(2σ) * ∫exp(-y2) dy from -infinity to +infinity\)
= √(2πσ).
∴ \(∫[2πσ](-1/4) exp[-x2/(4σ)]*[2πσ](-1/4) exp[-x2/(4σ)] dx from -infinity to +infinity = ∫[2πσ](-1/2) exp[-x2/(2σ)] dx from -infinity to +infinity= 1, which is equal to 1.\)
Hence, the given wave function is normalized.
Now, we need to calculate the expectation values ⟨x2⟩ and ⟨p2⟩ as a function of σ.
⟨x2⟩ = ∫x2 |ψ(x)|2 dx from -infinity to +infinity.
Substituting the wave function, we get,
⟨x2⟩ = ∫x2 [2πσ](-1/2) exp[-x2/(2σ)] dx from -infinity to +infinity.
Using the relation,
∫x2 exp(-ax2) dx = √(π/2a3)⟨x2⟩ = √(2σ) * ∫x2 exp[-x2/(2σ)] dx from -infinity to +infinity
= 1/2 * σ * √(2σ) * ∫[2σ](-3/2) exp(-u) du from -infinity to +infinity
= 1/2 * σ * √(2σ) * Γ(3/2), where Γ is the Gamma function.
Using the value of Γ(3/2) = √π, we get,⟨x2⟩ = (1/2) * (2σ) * π = πσ.
Conversely, ⟨p2⟩ = ∫p2 |ψ(p)|2 dp from -infinity to +infinity.
Substituting the wave function, we get,
⟨p2⟩ = ∫[2πσ](-1/2) p2 \(e^{-p2\sigma/2}\) dp from -infinity to +infinity.
Integrating by parts twice, we get,
⟨p2⟩ = (2σ) *\(∫[2πσ](-1/2) exp[-p2σ/2] dp from -infinity to +infinity= (2σ) * √(π/(2σ3))\)= π/2σ.
Hence, the expectation values ⟨x2⟩ and ⟨p2⟩ as a function of σ are given by,⟨x2⟩ = πσ and ⟨p2⟩ = π/2σ.
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"A die is rolled and a number less than 5 comes up"
Which letter from A to G best represents the probability of the event?
Answer:
4/6
Step-by-step explanation:
Im pretty sure***
but if a dice has 6 sides, and you have to get something less than 5, which is 1-4, which is 4 numbers, so 4 out of 6 total is 4/6
Describe the shape of the distribution.
A. It is symmetric.
B. It is uniform.
C. It is bimodal.
D. It is skewed.
The ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0).
The equation of an ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0) is \($\frac{x^2}{16}+\frac{y^2}{81}=1$$\).
As per the given data the ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0).
If the ellipse has its x-intercepts at points (4, 0) and (-4, 0) and y-intercepts at points (0, 9) and (0, -9), then it's symmetric across the y- axis and the x-axis.
The equation of an ellipse where the major axis 2a is greater than the minor 2b.
When 2b > 2a , then the equation becomes \($\frac{(y-h)^{2} }{b^{2} } + \frac{ (x-k)^{2} }{a^{2} } =1\)
Moreover h = 0 and k = 0 because the center is on the origin, so the equation becomes:
\($\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)
Moreover,
a = 4
b = 9
The equation of the such ellipse is
\($\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\)
Hence, the equation of the ellipse is
\($\frac{x^2}{4^2}+\frac{y^2}{9^2}=1\)
\($\frac{x^2}{16}+\frac{y^2}{81}=1$$\)
Therefore the equation of an ellipse is \($\frac{x^2}{16}+\frac{y^2}{81}=1$$\).
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Find the equation of the ellipse with the following properties. The ellipse with x-intercepts at (4, 0) and (-4, 0), y-intercepts at (0, 9) and (0, -9), and center at (0, 0).
STEM The average temperature on the planet Neptune is –214 °C. The
temperature on the south pole of Neptune is thought to be 10 °C. Is this
colder or warmer than the average temperature? Write an inequality to
support your answer.
Which is colder??
Solve the equation in standard form
The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.
To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:
-5/3 x² + 3x + 11 = -9 + 25/3 x²
First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:
-5x² + 9x + 33 = -27 + 25x²
Next, let's combine like terms:
-5x² - 25x² + 9x + 33 = -27
-30x² + 9x + 33 = -27
Now, let's bring all the terms to one side to have a quadratic equation equal to zero:
-30x² + 9x + 33 + 27 = 0
-30x² + 9x + 60 = 0
Finally, we have the quadratic equation in standard form:
-30x² + 9x + 60 = 0
Dividing each term by 3, we get:
-10x² + 3x + 20 = 0
(-2x + 5)(5x + 4) = -10x² + 3x + 20
So, the factored form of the equation -30x² + 9x + 60 = 0 is:
(-2x + 5)(5x + 4) = 0
Now we can set each factor equal to zero and solve for x:
-2x + 5 = 0 --> x = 5/2
5x + 4 = 0 --> x = -4/5
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