Answers
When you shift the decimal two decimal places over you get 0.853
Related Questions
How do you write 47 in base 3
Answers
Answer:
\(47=1202_3\)Explanation:
We want to write 47 in base 3
To do this, we follow the steps below:
47/3 = 15 Remainder 2
15/3 = 5 Remainder 0
5/3 = 1 Remainder 2
1/3 = 0 Remainder 1
Now, to base 3, we write the remainders, starting from the last one to the first one.
\(1202_3\)Find the value of k and yz if y is between x and z. x y = 3 k − 2 , y z = 7 k 4 , x z = 4 k 38
Answers
Considering that y is between x and z, we have that:
The value of k is of k = 6.The length of yz is 46 units.How to find the value of k and of yz?We consider that y is between x and z, hence the length of the segment is given by:
xz = xy + yz
The separate lengths are given as follows:
xz = 4k + 38.xy = 3k - 2.yz = 7k + 4.Hence:
4k + 38 = 3k - 2 + 7k + 4.
4k + 38 = 10k + 2
6k = 36
k = 6.
Hence the length of yz is given by:
yz = 7k + 4 = 7(6) + 4 = 42 + 4 = 46 units.
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All the real zeros of the given polynomial are integers. Find the zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
P(x) = x3 + 4x² - 19x + 14
X =
Write the polynomial in factored form.
P(x) =
Answers
The zeros of P(x) are x = 1, x = -7, and x = 2.
In factored form, we can write:
P(x) = (x - 1)(x + 7)(x - 2)
To find the real zeros of the polynomial\(P(x) = x^3 + 4x^2 - 19x + 14,\) we can use the Rational Root Theorem to identify potential rational roots. The theorem states that if a polynomial with integer coefficients has a rational root of the form p/q,
where p and q are integers with no common factors, then p must divide the constant term (in this case, 14) and q must divide the leading coefficient (in this case, 1).
The possible rational roots of P(x) are therefore ±1, ±2, ±7, and ±14.
We can test these roots by synthetic division to see which, if any, are roots of the polynomial.
Synthetic division by x - 1 gives:
1 | 1 4 -19 14
1 5 -14
1 5 -14 0
Therefore, x - 1 is a factor of P(x), and we can write:
\(P(x) = (x - 1)(x^2 + 5x - 14)\)
Now we need to find the roots of the quadratic factor \(x^2 + 5x - 14.\)
We can use the quadratic formula to obtain:
\(x = (-5 \pm \sqrt{5^2 + 4(14} )/2\)
= (-5 ± 3)/2
So the roots of the quadratic factor are x = -7 and x = 2.
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To find the real integer zeros of the polynomial P(x) = x³ + 4x² - 19x + 14, we can use the Rational Root Theorem. This theorem states that if a rational number p/q is a root of the polynomial with integer coefficients, then p must be a divisor of the constant term (14), and q must be a divisor of the leading coefficient (1).
Since the leading coefficient is 1, the possible rational roots are just the divisors of 14, which are ±1, ±2, ±7, and ±14. By substituting these values into the polynomial, we find that P(-1) = 0, P(2) = 0, and P(7) = 0. So, the real integer zeros of the polynomial are -1, 2, and 7.
Now, we can write the polynomial in factored form as P(x) = (x + 1)(x - 2)(x - 7).
In summary, the real integer zeros of P(x) = x³ + 4x² - 19x + 14 are -1, 2, and 7, and the factored form of the polynomial is P(x) = (x + 1)(x - 2)(x - 7).
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Let g(x)=x²-5 and h(x) = 3x + 2. Find (hog)(x)
Answers
The value of the composite function is (hog)(x) = 3x²- 13.
What is a composition function?
Function composition is an operation used in mathematics that takes two functions, f, and g, and creates a function, h = gof, such that h(x) = g. The function g is applied in this operation on the outcome of applying the function f to x.
The functions are g(x)=x²-5 and h(x) = 3x + 2
The composition function (hog)(x) can be written as (hog)(x) =h(g(x))
Putting g(x)=x²-5 in (hog)(x) =h(g(x)):
(hog)(x) =h(x²-5)
Now putting x= (x²-5) in h(x) = 3x + 2:
h(x²-5) = 3(x² - 5) + 2
h(x²-5) = 3x² - 15 + 2
h(x²-5) = 3x² - 13
Therefore (hog)(x) = 3x² - 13.
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When Sam gave Clarissa 105 chocolates, Clarissa had 5 times as many chocolates as Sam. They had 504 chocolates altogether. How many more chocolates did Clarissa have at first?
Answers
Answer:
315 chocolate
Step-by-step explanation:
Let Sam's chocolate be S
Let Clariss's chocolate be C
When Sam gave Clarissa 105 chocolates, Clarissa had 5 times as many chocolates as Sam.
This can be written as:
C = 5S
The sum of their chocolate is 504 i.e
S + C = 504
Now, let us determine the chocolate of Clarissa after receiving 105 chocolate from Sam. This can be obtained as follow:
S + C = 504
But: C = 5S
S + 5S = 504
6S = 504
Divide both side by 6
S = 504/6
S = 84.
C = 5S = 5 x 84 = 420
Therefore, Clarissa have 420 chocolate after receiving 105 chocolate from Sam.
Now, to know the amount of chocolate that Clarissa has at first, we simply subtract 105 from the present amount that Clarissa have. This is illustrated below:
Amount of chocolate that Clarissa has a first = 420 – 105 = 315
Therefore, Clarissa had 315 chocolate at first.
The number of more chocolates did Clarissa have at first is 315 chocolates.
Calculation of the number of chocolates:Since Sam gave Clarissa 105 chocolates, Clarissa had 5 times as many chocolates as Sam. They had 504 chocolates altogether.
here we assume Sam's chocolate be S and Clariss's chocolate be C
So, the equations are
C = 5S
S + C = 504
So, it could be like
S + 5S = 504
6S = 504
S = 84.
C = 5S = 5 x 84 = 420
Now the extra chocolates shoudl be
= 420 – 105
= 315
Therefore, Clarissa had 315 chocolate at first.
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If the number of bacteria in a colony doubles every 236 minutes and there is currently a population of 9,085 bacteria, what will the population be 708 minutes from now?
Answers
We could state an exponential model.
Number of bateria will be given by:
\(N=N_0e^{kt}\)where k=growth constant and t=time in minutes.
We're given that N0 is the initial population, which is:
\(N_0=9,085\)We also know that, when t=236 min, N=2(9,085) = 18,170:
\(18,170=9,085e^{k(236)}^{}\)We're going to solve this equation to find the value of k:
\(\begin{gathered} \frac{18,170}{9,085}=e^{236k} \\ 2=e^{236k} \\ \ln 2=\ln e^{236k} \\ \ln 2=236k \\ k=\frac{\ln 2}{236} \end{gathered}\)Then, our expression is:
\(N=9,085e^{\frac{\ln 2}{236}t}\)To find the population of bacteria after 708 minutes, we replace t by 708:
\(N=9085e^{\frac{\ln2}{236}(708)}=72680\)Therefore, the population of bacteria 708 minutes from now, is 72680.
the quantity 2.67 × 103 m/s has how many significant figures?
Answers
The quantity 2.67 × 10³ m/s has three significant figures because the digits 2, 6, and 7 are all significant, and the exponent 3, which represents the power of 10, is not considered a significant figure.
Scientists use significant figures to indicate the level of accuracy and precision of a measurement. The significant figures are the reliable digits that are known with certainty, plus one uncertain digit that has been estimated or measured with some degree of uncertainty. In determining the significant figures of a number, the following rules are applied: All non-zero digits are significant.
For example, the number 345 has three significant figures. Zeroes that are in between two significant figures are significant. For example, the number 5004 has four significant figures. Zeroes that are at the beginning of a number are not significant. For example, the number 0.0034 has two significant figures. Zeroes that are at the end of a number and to the right of a decimal point are significant. For example, the number 10.00 has four significant figures.
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Hello its urgent i really need help its a math question! i will give brainlist thank you
Answers
We know that we will eventually rotate it 180° about the origin due to the direction it’s facing. If we were to reflect it, the triangle would wind up either sideways or upside down unless we reflected it across both the x axis then the y axis. However, reflecting over both axises is the same as rotating 180° about the origin. Before we can rotate the triangle though, we need to translate it first. Let’s take point V at (2,2). If we first translate it up 1 and right 2, it maps to (4,3). If we then rotate it 180° about the origin, point V will map to (-4,-3), which is the correct point V”. Since we already determined that the orientation of the triangle is correct, we can assume the rest of the points will map correctly as well.
A negative number raised to an exponent is positive. Which of the following is not true?
A. The number could be even
B. The number could be odd
C. The exponent could be even
D. The exponent could be odd
Answers
Answer:
the number could be odd.
Answer:
the number could be odd
Step-by-step explanation:
Determine whether the distribution represents a probability distribution. X 3 6 0.3 0.4 P(X) Oa. Yes b. No 9 0.3 0.1
Answers
The distribution does not represent a probability distribution. The correct option is b.
A probability distribution should satisfy two main conditions: (1) the sum of the probabilities for all possible outcomes should be equal to 1, and (2) the probabilities for each outcome should be between 0 and 1 (inclusive).
In this distribution, the probabilities for the outcomes are 0.3, 0.4, 0.3, and 0.1 for the values of X as 3, 6, 9, and 0, respectively. However, the sum of these probabilities is 1.1, which violates the first condition of a probability distribution.
Therefore, this distribution does not meet the requirements of a probability distribution and is not a valid probability distribution. The correct answer is option b.
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ms. lee is shopping for a new electric warer heater. brand A cost $575 and uses 442 kiliwatt- hours per month. brand B cost $651 and uses 397 kiliwatt-hours per month. if electricity costs $0.17 per kilowatt-hour, how much would ms. lee save on electricity per month by buying brand B
Answers
Answer:
7.65
Step-by-step explanation:
Brand A:
442(times)0.17=75.14 each month
Brand B:
397(times)0.17=67.49 each month
75.14-67.49=7.65
Ms.Lee would save 7.65 each month with brand B
A fair dice is rolled. Work out the probability of getting a factor of 6. Give your answer in its simplest form.
Answers
Answer:
2/3
Step-by-step explanation:
1 2 3 6 are factors of six. So 4/6 chance which is reduced to 2/3
the population of a town is 7,000 and it grows at a rate of 4.6 percent. what will the population be in 10 years.
Answers
Data Input
P = 7000
r = 4.6%
t = 10 years
Procedure
The population after 10 years can be found by
\(\begin{gathered} P=P_o(1+\frac{t}{100})^t \\ \end{gathered}\)where
P is the population after 10 years
t is the times
r is the rate of interest
Po is the initial population
\(\begin{gathered} P(t)=7000(1+\frac{4.6}{100})^{10} \\ P(t)=7000(1+0.046)^{10} \\ P(t)=7000(1.046)^{10} \\ P(t)=10975 \end{gathered}\)The population would be 10975
consider a lattice with n spin-1 atoms with n >> 1. each atom can be in one of three spin states, sz = −1, 0, 1. assume each state has the same energy ε and that there is no external magnetic field
Answers
This lattice system with n spin-1 atoms, each having three spin states with equal energy ε and no external magnetic field, provides a framework to study the statistical behaviour and quantum properties of a large ensemble of spin systems.
In a lattice with n spin-1 atoms, where n is much larger than 1, each atom can exist in one of three spin states: sz = -1, 0, or 1. It is assumed that each of these spin states has the same energy ε, and there is no external magnetic field acting on the system.
This system can be described using concepts from statistical physics and quantum mechanics. Each spin state corresponds to an energy level, and the atoms can undergo transitions between these states. The energy ε represents the energy difference between the spin states.
The behaviour of the system can be analyzed using statistical methods such as the Boltzmann distribution to determine the probability of each spin state being occupied at a given temperature. The interactions between the atoms can lead to collective phenomena and phase transitions.
The absence of an external magnetic field simplifies the analysis as it eliminates the influence of an external force on the spins.
Therefore, this lattice system with n spin-1 atoms, each having three spin states with equal energy ε and no external magnetic field, provides a framework to study the statistical behaviour and quantum properties of a large ensemble of spin systems.
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A cake shop bakes a variety of brownies. the top-selling brownies are ones with toppings of chocolate chip, walnuts, or both. a customer enters the store. the probability that the customer will pick both toppings is 0.4. what is the probability that they will pick neither the chocolate chip nor the walnut toppings? a. 0.5 b. 0.3 c. 0.45 d. 0.8 e. 0.2
Answers
Based on the probabilities that a customer will pick chocolate chip, walnut, or both, the probability that the customer will pick neither is 0.3.
What is the probability of picking neither chocolate chip or walnut?This can be found by the formula:
= 1 - (Probability of picking chocolate chip + Probability of picking walnut + Probability of picking both)
Solving gives:
= 1 - (0.2 + 0.1 + 0.4)
= 1 - 0.7
= 0.3
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Answer:
0.3
Step-by-step explanation:
2(4x - 7)
What’s the answer
Answers
Answer:
\(8x - 14\)
Step-by-step explanation:
1. expand by distributing terms.
\(2 \times 4x + 2 \times - 7\)
2. Simplify 2 × 4x to 8x.
\(8x + 2 \times - 7\)
3. Simplify 2 × -7 to -14.
\(8x - 14\)
Therefor, the answer is, 8x - 14.
(a) If tan A=x/y
prove that: y.cos2A +x.sin2A= y.
Please help me..
Answers
Answer: see proof below
Step-by-step explanation:
Use the following Double Angle Identities: cos 2A = 1 - 2sin²A
sin 2A = 2sinA · cosA
\(\text{Given:}\quad \tan A = \dfrac{x}{y}\)
Proof LHS = RHS
y cos 2A + x sin 2A = y
x sin 2A = y - y cos 2A
x sin 2A = y(1 - cos 2A)
\(\dfrac{x}{y}=\dfrac{1-\cos2A}{sin\ 2A}\)
\(\dfrac{x}{y}=\dfrac{1-(1-2sin^2A)}{2\sin A\cdot \cos A}\)
\(\dfrac{x}{y}=\dfrac{2sin^2A}{2\sin A\cdot \cos A}\)
\(\dfrac{x}{y}=\dfrac{\sin A}{\cos A}\)
\(\dfrac{x}{y}=\tan A}\)
This is a TRUE statement since it was given that \(\tan A = \dfrac{x}{y}\)
Do this please!!!!!!!
Answers
Answer:
The tides change as the three interact.
Step-by-step explanation:
When the sun, moon, and Earth are in alignment (at the time of the new or full moon), the solar tide has an additive effect on the lunar tide, creating extra-high high tides, and very low, low tides—both commonly called spring tides.
I need help , slope calculator
Answers
Answer:
Step-by-step explanation:
change in x (horizontal) = 4 - 1 = 3
Change in y (vertical) = 9 - 3 = 6
Slope = change in x / change in y
slope = 3 / 6 = 1/2
What is the value of x?
(5x + 5)°
(4x+8)°
(6x-1)⁰
(5x + 3)°
(3x)°
Answers
Answer:
The value of x is 0.04.
Step-by-step explanation:
(180 x 5) - 23x - 15 = 540
x = 0.04
Find all numbers whose absolute value is 4.
If there is more than one, separate them with commas.
If there are no such numbers, click on "None".
Answers
Step-by-step explanation:
-4
4
and those are the only ones i know
The figure below is not drawn to scale. What is the value of x?
Answers
calculate the z-score for a data value of 80 in a data set with a mean of 52 and a standard deviation of 9. round your answer to the nearest tenth.
Answers
The z-score for a data value of 80 in a data set with a mean of 52 and a standard deviation of 9 is approximately 3.1.
The formula for calculating the z-score is:
z = (x - μ) / σ
where x is the data value, μ is the mean, and σ is the standard deviation.
Substituting the given values, we get:
z = (80 - 52) / 9 = 3.11 (rounded to two decimal places)
Therefore, the z-score for a data value of 80 in a data set with a mean of 52 and a standard deviation of 9 is approximately 3.1.
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The z-score for a data value of 80 in this data set is approximately 3.1.
Calculate the z-score for a data value of 80 in a data set with a mean of 52 and a standard deviation of 9.
To find the z-score, follow these steps:
Identify the data value (x), mean (µ), and standard deviation (σ).
In this case, x = 80, µ = 52, and σ = 9.
Use the z-score formula:
z = (x - µ) / σ
Plug in the values:
z = (80 - 52) / 9
Perform the calculations:
z = 28 / 9
Round the answer to the nearest tenth: z ≈ 3.1
So, the z-score for a data value of 80 in this data set is approximately 3.1.
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Select the correct answer.
Write an expression to represent the product of 6 and the square of a number plus 15.
In your expression, what is the value of the coefficient?
А.15
B. 2
C. 6
D. 1
Answers
C. 6
\(6 {n}^{2} + 15\)
the coefficient is the number in front of the variable (letter)
joshua scored a 65, 80, 85 and 100 on his math tests. what score will joshua have to earn on his fifth test to have a mean score of 85?
Answers
Joshua scored 65, 80, 85, and 100 on his math tests. 90 score Joshua has to earn on his fifth test to have a mean score of 85
To calculate the mean score, add up all of the scores and divide by the total number of tests.
To figure out what score Joshua needs to get on the fifth test, use the formula:
Total score = mean score × total number of tests
Total score = 85 × 5
Total score = 425
Joshua's total score on all five tests must be 425. He has already earned 330 points from his first four tests (65 + 80 + 85 + 100).
Therefore, Joshua must earn 95 points on his fifth test (425 - 330 = 95) to achieve a mean score of 85.
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Express the given function in terms of the unit step function and find the Laplace transform. f(t) = 0 if 0 < t < 2 t2 + 3t if t > 2 F(s)
Answers
The Laplace transform of f(t) is F(s) = -(2s^2 + 3s + 6) / (s^3 e^(2s)), expressed in terms of the unit step function.
To express the given function in terms of the unit step function, we can rewrite it as f(t) = (t2 + 3t)u(t - 2), where u(t - 2) is the unit step function defined as u(t - 2) = 0 if t < 2 and u(t - 2) = 1 if t > 2.
To find the Laplace transform of f(t), we can use the definition of the Laplace transform and the properties of the unit step function.
F(s) = L{f(t)} = ∫₀^∞ e^(-st) f(t) dt
= ∫₀^2 e^(-st) (0) dt + ∫₂^∞ e^(-st) (t^2 + 3t) dt
= ∫₂^∞ e^(-st) t^2 dt + 3 ∫₂^∞ e^(-st) t dt
= [(-2/s^3) e^(-2s)] + [(-2/s^2) e^(-2s)] + [(-3/s^2) e^(-2s)]
= -(2s^2 + 3s + 6) / (s^3 e^(2s))
Therefore, the Laplace transform of f(t) is F(s) = -(2s^2 + 3s + 6) / (s^3 e^(2s)), expressed in terms of the unit step function.
Note that the Laplace transform exists for this function since it is piecewise continuous and has exponential order.
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Does someone mind helping me with this problem? Thank you!
Answers
Based on the use of substitution, The answer will be: (x, y) = (1, -2)
What is the substitution about?3x - 4y = 11
y + 3x = 1
Step 1: Solve one of the equations for one of the variables.
Let's solve the second equation for y:
y = -3x + 1
Step 2: Substitute this expression for y into the first equation:
3x - 4(-3x + 1) = 11
3x - (-12x + 4) = 11
3x + 12x = 15
15x = 15
x = 1
Step 3: Substitute this value of x back into one of the original equations to find the value of y:
y = -3(1) + 1 = -2
The solution is (x, y) = (1, -2)
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See transcribed text below
Solve the system using substitution.
3x-4y = 11 y + 3x = 1
([?], [_])
Enter
Guys where did i go wrong
Answers
Answer:
....
Step-by-step explanation:
consider the quadratic function y equals short dash x squared plus 6 x minus 5. what do we know about the graph of this quadratic equation, based on its formula?
Answers
Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.
Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.
First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.
Next, we can find the vertex using the formula:
Vertex = (-b/2a, f(-b/2a))
where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:
Vertex = (-b/2a, f(-b/2a))
= (-6/(2*-1), f(6/(2*-1)))
= (3, -14)
So the vertex of the parabola is at the point (3,-14).
Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.
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The cost C (in millions of dollars) for the federal government to seize p% of an illegal drug as it enters the country is given by
C=528*p/100-p, 0≤p<100
A)Find the costs of seizing 25%, 50% and 75% for the drug.
B) According to the model, would it be possible to seize 100% of the drug? Explain.
Answers
Answer:
b for me hehe ok
Step-by-step explanation:
Explanation