Answer:
x=6.5
Step-by-step explanation:
-8(x-2)=3-6x
Distribute the -8
-8x+16=3-6x
add 8x to both sides
16=3+2x
subtract 3 from both sides
13=2x
Divide both sides by two
6.5=x
Answer:
x=13
Step-by-step explanation:
What is equivalent to24.02
Answer:
Fraction 24 2/100 which equals 24 1/50 OR in decimal form 24.020
Step-by-step explanation:
Hope this helps! :)
Matt got on a scale and weighed 243.28 pounds. After dieting and exercising for several weeks, he lost 17.29 pounds.
Answer:
Step-by-step explanation:
243.28-17.29=225.99 after the diet
A Monte Carlo experiment is a statistical analysis that uses repetitive random sampling to solve a problem.
a. True
b. False
Answer:
True
Step-by-step explanation:
In the Monte Carlo simulations process, the probability of outcomes is determined on the basis of repeated sampling for the outcomes in a process which can not be determined easily due to several random variables involved in the process. This techniques helps in determining the risk, uncertainty in prediction and forecasting models.
Solve
Find x
pls it's urgent now
Answer:
23.3 (Rounded to Tenths)
Step-by-step explanation:
This is a Trigonometry problem.
You use the Trigonometry Helper "SohCahToa"
(Sine[Opposite/Hypotenuse], Cosine[Adjacent/Hypotenuse], Tangent [Opposite/Adjacent])
This is
Cos39=x/30
(Cos39)30=x
23.3=x
(Rounded to Tenths)
93,83,65,59,88,76,86,93,48,73,54,79
What is the percentage of these test scores that are less than 88?
Currently, there are 1,460 wolves in Scataway National Park. If the population of wolves is growing at a rate of 6% every year,
which function represents the number of wolves in Scataway National Park in tyears?
OA W0 = 1,460(1.06)
B. WO = 1,460(0.94)
OC M6 = 1,460(0.06)
OD. WO = (1,460)(1.06)
Answer:
\(P(t) = 1460(1.06)^t\)
Step-by-step explanation:
Exponential equation for population growth:
The exponential equation for a population after t years is given by:
\(P(t) = P(0)(1+r)^t\)
In which P(0) is the initial population and r is the growth rate, as a decimal.
Currently, there are 1,460 wolves in Scataway National Park.
This means that \(P(0) = 1460\)
Growing at a rate of 6% every year:
This means that \(r = 0.06\). So
\(P(t) = P(0)(1+r)^t\)
\(P(t) = 1460(1+0.06)^t\)
\(P(t) = 1460(1.06)^t\)
Answer:
Step-by-step explanation:
Question Number 12, i need help!! It’s geometry.
For exercises 16-18 , trace each figure and draw its rotated image
Determine the total resistance in the circuit given: R1=100Ω,R2=150Ω
, and R3=200Ω Can someone help pleaseee
Answer:
30
Step-by-step explanation:
Determine whether the underlined number is a statistic or a parameter. A sample of professors is selected and it is found that (40%) own a television. Choose the correct statement below.
a. Statistic because the value is a numerical measurement describing a characteristic of a sample.
b. Parameter because the value is a numerical measurement describing a characteristic of a sample.
c. Parameter because the value is a numerical measurement describing a characteristic of a population.
d. Statistic because the value is a numerical measurement describing a characteristic of a population.
Answer: a. Statistic because the value is a numerical measurement describing a characteristic of a sample.
Step-by-step explanation: Statistic are numerical characteristics drawn or obtained from a sample which is a subset of a population. Numerical values obtained from a population of data is called parameter. Hence, since the set of professors from which the value of those who own a television being 40% was drawn is stated as being a sample. Then all numerical characteristics obtained from the dataset will be referred to as a statistic.
If "a" is a negative number, and "ab" is a positive
answer, then what is the sign of "b”?
Answer:
b would be a negative number
Answer: The sign of b is negative or -
Step-by-step explanation:
If you multiply two negative numbers you will have a positive number. And if you multiply a positive and negative numbers you will have a negative answer.
what is.25 times .26
Answer:
25 x 26 = 650
0.25 x 0.26 = 0.065
Step-by-step explanation:
Find the area of the regular pentagon with apothem 3.5 and side. Not drawn to scale.
100 POINTS
SHOW WORK PLEASE
Answer:
52.5 inch square
Step-by-step explanation:
Area of pentagon: A = 1/2 × p × a;
where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.
A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5
The area of the regular pentagon with apothem 3.5 and side 6 is 52.5
What is the area of the regular pentagon?In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.
How to find the area of the regular pentagonGiven the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.
In order to find the area, the formula to calculate the area of the regular pentagon is given by:
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)
Where “s” is the side length. And “a” is the apothem length.Now,
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5\)
\(\text{Area of pentagon} =52.5\)
Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5
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For each pair of function f and g below, find f(g(x)) and g(f(x)).
a. f(x)=3/x,x=/= 0
b. g(x)=3/x, x=/=0
c. f(x)=x+4
d. g(x)=-x+4
Answer:
(a) and (b)
\(f(g(x)) = g(f(x)) = x\)
(c) and (d)
\(f(g(x)) =-x + 8\)
\(g(f(x)) = x + 8\)
Step-by-step explanation:
Given
(a) to (d)
Required
Find f(g(x)) and g(f(x)) for each pair
For (a) and (b), we have:
\(f(x) = \frac{3}{x}\)
\(g(x) = \frac{3}{x}\)
Calculate f(g(x))
\(f(x) = \frac{3}{x}\)
\(f(g(x)) = \frac{3}{g(x)}\)
Substitute 3/x for g(x)
\(f(g(x)) = \frac{3}{3/x}\)
Rewrite as:
\(f(g(x)) = 3/\frac{3}{x}\)
\(f(g(x)) = 3*\frac{x}{3}\)
\(f(g(x)) = x\)
Since f(x) = g(x), then:
\(f(g(x)) = g(f(x)) = x\)
For (c) and (d)
\(f(x) =x + 4\)
\(g(x) =-x + 4\)
Solving f(g(x)), we have:
\(f(x) =x + 4\)
\(f(g(x)) =g(x) + 4\)
Substitute \(g(x) =-x + 4\)
\(f(g(x)) =-x + 4 + 4\)
\(f(g(x)) =-x + 8\)
Calculating g(f(x))
\(g(x) =-x + 4\)
\(g(f(x)) = -f(x) + 4\)
Substitute: \(f(x) =x + 4\)
\(g(f(x)) = x + 4 + 4\)
\(g(f(x)) = x + 8\)
From this diagram, select the
pair of lines that must be
parallel if angle 1 is congruent to angle 8. If there is no pair of lines, select "none".
Answer:
Line L is parallel to Nangle 1 is equal to angle 4 ( vertically opposite angles)
if angle 1 is congruent to angle 8
then angle 4 is also congruent to angle 8
then slope of line L and n is equal
that is L is parallel to n
Expressed in simplest a + bi form, (7-3i) + (x - 2i)² - (4i + 2x²) is
Therefore, the expression (7-3i) + (x - 2i)² - (4i + 2x²) in the simplest a + bi form is: -2x² - 1 - (4x + 7i)
What are the different forms of linear equation?Linear Equation General Form Example
Slope intercept form y = mx + b y + 2x = 3
Point–slope form y – y1 = m(x – x1 ) y – 3 = 6(x – 2)
General Form Ax + By + C = 0 2x + 3y – 6 = 0
Intercept form x/a + y/b = 1 x/2 + y/3 = 1
As a Function f(x) instead of y f(x) = x + C f(x) = x + 3
The Identity Function f(x) = x f(x) = 3x
Constant Functions f(x) = C f(x) = 6
Let's start by expanding the square term (x - 2i)² using the formula for (a + b)²:
(x - 2i)² = x² - 4xi + 4i²
Note that i² = -1, so we can simplify this expression to:
(x - 2i)² = x² - 4xi - 4
Substituting this expression and the given values into the original expression, we get:
(7 - 3i) + (x² - 4xi - 4) - (4i + 2x²)
Grouping the real and imaginary terms, we get:
(7 - 4 - 2x²) + (-3i - 4i - 4x) + (x²)
Simplifying the real part, we get:
-2x² - 1
Simplifying the imaginary part, we get:
-7i - 4x
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which mixed number is equivalent to the improper fraction of 41/10
Answer:
4 1/10 when u have a inproper fraction like that every 10 is one whole number
A company uses a computer program to create coupon codes for customers to use on its website. The codes are made up from the symbols !, #, &, and *, as well as any letter from the alphabet.
The company uses the program to make a code, one character at a time.
What is the probability the first character is a symbol?
Enter your answer as a decimal rounded to the nearest hundredth in the box.
Answer:
\(total = 26 + 4 = 30 \\ probability = \frac{4}{30} \\ = 0.13\)
Hope This Helps!!!
Hope This Helps!!!Have a great day!!!
3. Simplity: 1-7721
a. -772
b. - 7
c. 772
d. 72
Answer:
1 - 7721 = -7220 so i don't really see the answer in the choices you gave.
Step-by-step explanation:
sketch the region y=sqrtx, y=0, x=4
Answer:
see attached for a sketch
area = 5 1/3 square units
Step-by-step explanation:
You want the area under the square root curve, above y=0, from x=0 to x=4.
AreaThe area is found by integrating a differential of area over appropriate limits. A vertical slice will have hight √x and width dx, so we have ...
dA = (√x)dx
A = ∫(√x)dx
The power rule can be used for the integration:
\(\displaystyle A=\int_0^4{x^{\frac{1}{2}}}\,dx=\left[\dfrac{x^{\frac{3}{2}}}{\frac{3}{2}}\right]^4_0=\dfrac{2}{3}(4^\frac{3}{2})=\dfrac{16}{3}=\boxed{5\dfrac{1}{3}}\)
The area of the region is 5 1/3 square units.
__
Additional comment
You will notice that the area is bounded by a rectangle 4 units wide and 2 units high, for an area of 4·2 = 8. The area under the parabolic curve is 2/3 of that: 2/3·8 = 16/3 = 5 1/3 square units.
This fraction will be true for any area bounded by a parabola where the vertex is one of the corners of the rectangle.
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A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean life of 83 months with a variance of 81. If the claim is true, what is the probability that the mean monitor life would be greater than 81.2 months in a sample of 146 monitors? Round your answer to four decimal places.
Answer:
0.9922 = 99.22% probability that the mean monitor life would be greater than 81.2 months in a sample of 146 monitors.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The production manager claims they have a mean life of 83 months with a variance of 81.
This means that \(\mu = 83, \sigma = \sqrt{81} = 9\)
Sample of 146:
This means that \(n = 146, s = \frac{9}{\sqrt{146}}\)
What is the probability that the mean monitor life would be greater than 81.2 months in a sample of 146 monitors?
This is 1 subtracted by the p-value of Z when X = 81.2. So
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{81.2 - 83}{\frac{9}{\sqrt{146}}}\)
\(Z = -2.42\)
\(Z = -2.42\) has a p-value of 0.0078.
1 - 0.0078 = 0.9922.
0.9922 = 99.22% probability that the mean monitor life would be greater than 81.2 months in a sample of 146 monitors.
I will give brainliest answer
Answer:
It's 8 units to the left and 5 units up.
Step-by-step explanation:
You know this because the bottom right point of the triangle starts out at (6,-6) and ends up at (-2,-1), so the x value decreased by 8 and the y value increased by 5.
Answer:
A translation by 8 units to the left and 5 units up.
Step-by-step explanation:
A = (3,-4)
B = (5, -2)
C = (6,-6)
A' = (-5,1)
B' = (-3,3)
C' = (-2,-1)
(3,-4) --> (-5,1) = -8, +5
(5,-2) --> (-3,3) = -8, +5
(6,-6) --> (-2,-1) = -8, +5
Constant of -8 in x-values.
Constant of +5 in y-values.
8 left.
5 up.
15x^2+5x GCF help. out please
Answer:
5x is the GCF
Step-by-step explanation:
Solve each triangle. Round side lengths to nearest tenth and angle measures
to nearest degree.
15. A = 80, B = 14, a = 40
16. a 14, c = 20, B = 38°
8
17. a = 4, b = 6, c = 3
A triangle is solved when all the angles and sides are found.
How do you solve a triangle?1) Using the sine rule;
a/Sin A = b/sin B
asin B = b sin A
b = asin B/sin A
b = 40 sin 14/sin 80
b = 10
C = 180 - (A + B)
C = 180 - (80 + 14)
C = 86
c/sin C = b/sinB
c/sin 86 = 10/sin 14
csin 14 = 10 sin 86
c = 10 sin 86/sin 14
c = 41
2) b^2 = a^2 + c^2 - 2ac Cos B
b = √a^2 + c^2 - 2ac Cos B
b =√(14)^2 + (20)^2 - (2 * 14 * 20) Cos 38
b = √196 + 400 - 560Cos 38
b = 12
a/Sin A = b/sin B
14/sin A = 12/sin 38
14 Sin 38 = 12sin A
A = Sin-1(14 Sin 38/12)
A = 33
C = 180 - (33 + 38)
C = 109
3) b^2 = a^2 + c^2 - 2ac Cos B
b^2 = a^2 + c^2 - 2ac Cos B
6^2 = (4)^2 + (3)^2 - (2 * 4 * 3) Cos B
36 = 16 + 9 - 24Cos B
36 = 25 - 24Cos B
36 - 25 = -24Cos B
11 = -24Cos B
B = Cos-1 (11/-24)
B = 117
b/sin B = a/sin A
6/sin 117 = 4/sinA
6Sin A = 4Sin117
Sin A = 4Sin117/6
A = Sin-1(4Sin117/6)
A = 36
C = 180 - (36 + 117)
C = 27
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6(x1.5)+30<48 I need help with this Help
The solution to given linear inequality, 6(x1.5) + 30 < 48, is x < 2
Solving linear inequalitiesFrom the question, we are to solve the given linear inequality
The given linear inequality is
6(x1.5) + 30 < 48
First, we will write this inequality properly.
The inequality can be properly written as
6(1.5x) + 30 < 48
Now, we will solve the linear inequality
6(1.5x) + 30 < 48
Subtract 30 from both sides of the equation
6(1.5x) + 30 - 30 < 48 - 30
6(1.5x) < 18
Divide both sides of the inequality by 6
6(1.5x)/6 < 18/6
(1.5x) < 3
1.5x < 3
Divide both sides of the inequality by 1.5
1.5x/1.5 < 3/1.5
x < 2
Hence, the solution is x < 2
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In a solar system 6 of 9 of the planets has a satellite what is the percentage of planets that don’t have a satellite
Answer:
33%
Step-by-step explanation:
6/9 = .66 which is the amount that do have it
1 - .66 = .33 which is the amount that dont.
.33 x 100 = 33%
If APR on credit card is 17.8% what is the daily percentage rate (DPR)?
The daily percentage rate (DPR) for the given Annual Percentage Rate (APR) on credit card is 17.8% is equal to 0.048%.
Given the Annual Percentage Rate (APR) on credit card is 17.8%.
Now, we need to find the daily percentage rate (DPR) for the given yearly percentage on credit card.
To find your current annual percentage rate, look at your monthly statements. To determine the daily percentage rate (DPR), divide the annual percentage rate (APR) by 365 (the number of days in a year).
So, given APR = 17.8%
Now, daily percentage rate will be:
⇒ Daily percentage rate = Annual Percentage Rate ÷ 365
⇒ DPR = APR / 365
⇒ DPR = 17.8% ÷ 365
⇒ DPR = 0.048%
Therefore, daily percentage rate (DPR) is equal to 0.048%.
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If f(x) = 4x-2, what does f(-2) equal?
Complete the table. Answer should be T or F.
P Q
T F P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
F T P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
P Q P V Q P ^ Q P -> Q -P -Q -P V -Q -P -> Q -P -> -Q P <-> Q
T T T T T F F F F F T T
F T T F F T T T T T F F
P F T F F T T T T T F F
-P T T F F T T T T T F F
-Q T T T T F T F F F T T
-P V -Q T T F F T T T T T F
-P -> Q T T F F T T T T T F
-P -> -Q T T F F T T T T T F
P <-> Q T T T T F T T T T F
Here is a more detailed explanation of how I filled out the table:
P | Q : This column is simply the truth value of P and Q. If P and Q are both true, then the entry in this column is T. If P is true and Q is false, then the entry in this column is F. If P is false and Q is true, then the entry in this column is F. And if P and Q are both false, then the entry in this column is T.
P V Q : This column is the truth value of P or Q. If P is true, then the entry in this column is T. If Q is true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.
P ^ Q : This column is the truth value of P and Q. If P and Q are both true, then the entry in this column is T. And if P and Q are both false, then the entry in this column is F.
P -> Q : This column is the truth value of P implies Q. If P is true and Q is false, then the entry in this column is F. And if P is false or Q is true, then the entry in this column is T.
-P : This column is the negation of P. If P is true, then the entry in this column is F. And if P is false, then the entry in this column is T.
-Q : This column is the negation of Q. If Q is true, then the entry in this column is F. And if Q is false, then the entry in this column is T.
-P V -Q : This column is the truth value of not P or not Q. If P and Q are both true, then the entry in this column is F. If P and Q are both false, then the entry in this column is T. And if P or Q is true, then the entry in this column is T.
-P -> Q : This column is the truth value of not P implies Q. If P is true and Q is false, then the entry in this column is T. And if P is false or Q is true, then the entry in this column is F.
-P -> -Q : This column is the truth value of not P implies not Q. If P and Q are both true, then the entry in this column is T. If P is false or Q is false, then the entry in this column is T. And if P is true and Q is true, then the entry in this column is F.
P <-> Q : This column is the truth value of P if and only if Q. If P and Q are both true or P and Q are both false, then the entry in this column is T. And if P and Q have different truth values, then the entry in this column is F.
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substitution to evaluate the indefinite integral
Answer:
\(\displaystyle \int {e^{5x}} \, dx = \boxed{ \frac{e^{5x}}{5} + C }\)
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]:
\(\displaystyle (cu)' = cu'\)
Derivative Rule [Basic Power Rule]:
Integration
IntegralsIntegration Rule [Reverse Power Rule]:
\(\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C\)
Integration Property [Multiplied Constant]:
\(\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx\)
Integration Methods: U-Substitution
Step-by-step explanation:
Step 1: Define
Identify given.
\(\displaystyle \int {e^{5x}} \, dx\)
Step 2: Integrate Pt. 1
Identify variables for u-substitution.
Set u:Step 3: Integrate Pt. 2
[Integral] Rewrite [Integration Property - Multiplied Constant]:∴ we have used substitution to evaluate the indefinite integral.
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration