4²times 4² is ? Explain how you know and simplify please
Answer:
For me, it always helps to break down equations like this. Divide it up into two separate parts.
4^2*4^2=x
4^2=16
Replace both 4^2 with 16
16*16=256
the cube root of 343 is 7. how much larger is the cube root of 345.1? estimate using the linear approximation.
Therefore, the estimated difference between the cube roots of 343 and 345.1 is approximately 0.0189.
To estimate the difference between the cube roots of 343 and 345.1 using linear approximation, we can use the fact that the derivative of the function f(x) = ∛x is given by f'(x) = 1/(3∛x^2).
Let's start by calculating the cube root of 343:
∛343 = 7
Next, we'll calculate the derivative of the cube root function at x = 343:
f'(343) = 1/(3∛343^2)
= 1/(3∛117,649)
≈ 1/110.91
≈ 0.0090
Using the linear approximation formula:
Δy ≈ f'(a) * Δx
We can substitute the values into the formula:
Δy ≈ 0.0090 * (345.1 - 343)
Calculating the difference:
Δy ≈ 0.0090 * 2.1
≈ 0.0189
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Kim and Anthony start a dog walking business. During their first week, they paid $10 to make their business cards. Kim walked a dog for 15 minutes.
Part A - Which integers represent the dollar amounts either spent or earned during their first week Kim and Anthony were in business? Fill in all that apply.
$5 -$5 $10 -$10 -$6
Answer:
-10$
Step-by-step explanation:
Kim and Anthony spent 10 dollars on business cards and it does not say how much Kim earned for the dog walk so the correct integer is -10$
An auditing software can identify 63.7% of misreporting issues in accounting ledgers. Let X be the number of accounting misreporting transactions identified by the software among 50 randomly selected transactions for the last 3 months.
Determine the probability that no misreported transactions are found.
Determine the probability that less than 10 misreported transactions are found.
Determine the probability that at least half of the transactions are misreported.
If the firm applying the auditing software as a test run finds no misreporting, it will receive a $200 compensation, but if there are less than 10 misreported transactions it will have to pay a fee of $50, and if the misreported transactions represent more than half of the transactions then the fee will be $100. Determine the expected monetary gain (assuming that the auditing software is correct when identifying a misreporting).
The auditing software can identify 63.7% of misreporting issues in accounting ledgers. The probability that no misreported transactions are found is 1 - 63.7% = 36.3%. The probability that at least half of the transactions are misreported is 1 - P(X 25) = 1 - P(X 24) P(X 24) = _(i=0)24 (50C_i) (0.363)i (1 - 0.363)(50 - i) 0.0001. The expected monetary gain is approximately -$49.8.
Given that an auditing software can identify 63.7% of misreporting issues in accounting ledgers. Let X be the number of accounting misreporting transactions identified by the software among 50 randomly selected transactions for the last 3 months.Probability that no misreported transactions are found:X follows a binomial distribution with n = 50 and p = 1 - 63.7% = 36.3%.P(X = 0) = (1 - p)^n = (1 - 0.637)^50 ≈ 0.0002Probability that less than 10 misreported transactions are found:
P(X < 10) = P(X ≤ 9)P(X ≤ 9)
= P(X = 0) + P(X = 1) + P(X = 2) + ... + P(X = 9)P(X ≤ 9)
= ∑_(i=0)^9 (50C_i ) (0.363)^i (1 - 0.363)^(50 - i) ≈ 0.99
Probability that at least half of the transactions are misreported:
P(X ≥ 25)P(X ≥ 25)
= P(X > 24)P(X > 24)
= 1 - P(X ≤ 24)P(X ≤ 24)
= ∑_(i=0)^24 (50C_i ) (0.363)^i (1 - 0.363)^(50 - i) ≈ 0.0001
Expected monetary gain:Let Y be the amount of money that the firm gets to earn or pay. The probability distribution of Y can be shown below:Outcomes: $200, -$50, -$100
Probabilities: P(X = 0), P(0 < X < 10), P(X ≥ 25)P(X = 0)
= 0.0002P(0 < X < 10)
= 0.99 - 0.0002 = 0.9898P(X ≥ 25)
= 0.0001E(Y)
= ($200 x P(X = 0)) + (-$50 x P(0 < X < 10)) + (-$100 x P(X ≥ 25))E(Y)
= ($200 x 0.0002) + (-$50 x 0.9898) + (-$100 x 0.0001)≈ -$49.8
Therefore, the expected monetary gain is approximately -$49.8.
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Find the area of the pizza if the diameter is 15 in.
Answer:
176.7 square inches
Step-by-step explanation:
You want the area of a 15 inch diameter pizza.
AreaThe formula for the area of a circle in terms of its diameter is ...
A = (π/4)d²
The area of the pizza is ...
A = (π/4)(15 in)² = 225π/4 in² ≈ 176.7 . . . square inches
The area is about 176.7 square inches.
jwiwionwjaojsjsisnsnsn
Answer:
jaw sin epoik tupe
Step-by-step explanation:
Evaluate f(x)=4x+5 when x=4.
21
Step-by-step explanation:
=4x+5
=4*4+5
=16+5
=21
The value of function f(x) = 4x + 5 when x = 4 is 21 the answer is 21.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = 4x + 5
Plug x = 4
f(4) = 4(4) + 5
f(4) = 16 + 5
f(4) = 21
Thus, the value of function f(x) = 4x + 5 when x = 4 is 21 the answer is 21.
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For f(x) = -7x + 14, evaluate f(3)
Answer:
f(3) = -7
Step-by-step explanation:
f(3) = -7(3) + 14
f(3) = -21 + 14
f(3) = -7
help me with this please
Answer:
44 cm²
Step-by-step explanation:
Ar(big rect.) = (4+4)×(4+3)
= 8×7
= 56
Ar. of small rect. = 4×3 = 12
Area of X = 56-12
= 44 cm²
The line Graphed on the grid represents the first of two equations in a system of linear equations.
-20
16
12
CO
4
Х
4
8
12 16
20
-4
-16 -12 -8
-4
-8
-12
-16
-20
If the graph of the second equation in the system passes through the points (-12, 20) and (4. 12
A
The only solution to the system is (10,5).
B
The only solution to the system is (0, 14).
C
The system has no solution.
The system has an infinite number of solutions
Answer:
It’s A
Step-by-step explanation:
I think
How do you write a linear function from a data table?
The constant average rate of change is the slope of the line which can be used to write the linear function.
What is a Data Table ?
A table of data is linear if there is a constant average rate of change between all pairs of points.
Testing for Linearity
to test if a table of data is linear, calculate the average rate of change between each consecutive pair of pointsif the rate of change is constant, the data represents a linear functionif not, then it is not a linear functionFinding a Function from a Table that is Linear
the constant average rate of change found when determining that the table is linear is the slope of the line.use this slope and any one point from the table, write the equation using the point slope form, then solve for “y” to get the function equation.Learn more about linear functions at:
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msp:TeddyBearTed soooo hiiiiii ummmmmmm immm weeiirrrdddd
Answer:
lol tho :) hehe
Step-by-step explanation:
Answer:
wsp u bored to
Step-by-step explanation:
Using the definition of martingales
Let two martingales in respect to the same filtration. Prove that the process is a supermartingale.
In a supermartingale , the current variable (\(X_{t}\)) is an overestimate for the upcoming \(X_{t + 1}\).
A sequence of random variable (\(X_{t}\)) adapted to a filtration (\(F_{t}\)) is a martingale (with respect to (\(F_{t}\))) if all the following holds for all t :
(i) E|\(X_{t\)| < ∞
(ii) E[ \(X_{t + 1}\)|\(F_{t}\)] = \(X_{t}\)
If instead of condition (ii) we have E [\(X_{t + 1}\)|\(F_{t}\)] ≥ \(X_{t}\) for all t , we then say that (\(X_{t}\)) is submartingale with respect to (\(F_{t}\)).
If instead of condition (ii) we have E [ \(X_{t + 1}\) | \(F_{t}\)] ≤\(X_{t}\) for all t , we then say that (\(X_{t}\)) is supermartingale with respect to (\(F_{t}\)).
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You buy 1 shirt and 2 pair of pants for $31 Your friend buys 3 shirts and 1 pair of pants for $38
Using a system of linear equation, the cost of each shirt and pant is $9 and $11 respectively.
What is System of Linear EquationA system of linear equations is a collection of one or more linear equations that contain two or more variables. The goal of solving a system of linear equations is to find the values of the variables that satisfy all of the equations in the system.
A linear equation is an equation that can be written in the form of ax+by=c, where x and y are variables, and a, b, and c are coefficients.
In this problem, we need to define our variables and the solve the equations.
Let;
x = cost of shirty = cost of pantx + 2y = 31 ...eq(i)
3x + y = 38 ...eq(ii)
Solving both equations
x = 9, y = 11
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a car is traveling at 33 mph. if its tires have a diameter of 26 inches, how fast are the carʹs tires turning? express the answer in revolutions per minute. if necessary, round to two decimal places.
the car's tires are turning at a rate of approximately 583.33 revolutions per minute.
To find out how fast the car's tires are turning, we can use the formula:
Speed = (Distance / Time)
In this case, the distance traveled by the tire in one revolution is equal to the circumference of the tire, which is given by:
Circumference = π * Diameter
The time it takes for one revolution is given by:
Time = 60 minutes / Speed
Let's calculate the speed of the tire in inches per minute:
Speed = 33 miles/hour * 5280 feet/mile * 12 inches/foot / 60 minutes
= (33 * 5280 * 12) / 60 inches/minute
≈ 34944 inches/minute
Now, let's calculate the number of revolutions per minute:
Circumference = π * Diameter
= 3.1416 * 26 inches
≈ 81.68 inches
Time = 60 minutes / Speed
= 60 minutes / 34944 inches/minute
≈ 0.001715 minutes
Revolutions per minute = 1 / Time
= 1 / 0.001715 minutes
≈ 583.33 revolutions/minute
Therefore, the car's tires are turning at a rate of approximately 583.33 revolutions per minute.
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what is area of ths shape
The area is 114 yards
Step-by-step explanation:
(10x9) + (4x6)
Answer:
3600
Step-by-step explanation:
multiply them all i believe im wrong tho i dont know
What is the leading coefficient of the polynomial f(x)f(x) defined below? f(x)=−3x^4−10x^3
Answer:
9x^8
Step-by-step explanation:
f(x) is a binomial. Multiplying a binomial by itself results in a trinomial. In this problem we need ONLY to specify what the leading coefficient (coefficient of this trinomial product) is.
Here this is obtained by squaring the coefficient −3x^4. We get"
(-3)^2*(x^4)^2 = 9x^8
Consider 8x2 - 48x = -104.
Write the equation so that
a = 1: x2 +
-6
x
=
-13
Complete the square:
x2 – 6x +
=
–13 +
A quadratic equation is a second-order polynomial equation in a single variable x.
Equation can be written in the form a (x² + (-6)x ) = -13 where a = 1.
Completing the square of the equation is x² - 6x + 13 = 0
What is a quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x.
Example:
ax² + bx + c = 0.
We have,
8x² - 48x = -104
We need to write in the form of:
a( x² + (-6) ) = -13
Now,
8x² - 48x = -104
Taking out 8 commons on both sides.
8 ( x² - 6x ) = 8 x (-13)
Cancel 8 on both sides.
x² + (-6)x = -13
We can put a = 1 and we can get,
a (x² + (-6)x ) = -13
Completing the square means writing a quadratic in the form of a squared bracket and adding a constant if necessary.
x² + (-6)x = -13.
x² - 6x = -13
x² - 6x + 13 = 0
Constant = 13
Thus we have,
Equation in the form a (x² + (-6)x ) = -13 where a = 1.
Completing the square of the equation is x² - 6x + 13 = 0
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find the radian measure of an angle at the center of a circle with radius 77.0 cm that intercepts an arc length of 128 cm
The radian measure of the angle at the center of the circle is approximately 1.6623 radians.
We are given that the radius of the circle is 77.0 cm and the length of the intercepted arc is 128 cm. We need to find the radian measure of the angle at the center of the circle.
To solve this problem, we use the formula relating the angle at the center of a circle, the radius of the circle, and the arc length intercepted by the angle.
The formula is given byθ = s/rwhereθ = angle at the center of the circle in radians s = arc length intercepted by the angle r = radius of the circle Substituting the given values, we getθ = 128/77.0 = 1.6623 radians (rounded to four decimal places)
Therefore, the radian measure of the angle at the center of the circle is approximately 1.6623 radians.
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35/z=20/4 solve the proportion
plz help me solve this
Answer:
35 / 7 = 20 / 4
Step-by-step explanation:
20 / 4 equals to 5
35 / 7 equals to 5
The following expression represents the population of colony of penguins in Antarctica: P,= 17.2.3 P, is the penguin population, and r is time in days. a. What is the population after 6 days? b. When will P, be 650 penguins?
help please I don’t know
Answer:
the value of x is 12 as per my calculation it goes in equation
verify the identity. (simplify at each step.) 2 tan x + 2 cot y/ tan x cot y = 2 tan y + 2 cot x
We can see in the solution below that the left-hand side is equal to the right-hand side, since the identity containing tan and cot have both simplified to the same expression, 2/cos ysin y = 2/cos xsin x. Therefore, we have verified the identity.
Simplifying left-hand side containing tan and cot:
2 tan x + 2 cot y/ tan x cot y
= 2(tan x + cot y)/ (tan x)(cot y)
= 2(tan x/cot x + cot y/cot y)/ (tan x)(cot y)
= 2[(tan x/cot x)(1/cos x) + 1/sin y]/ (sin x)(cos y)
= 2[sin x/cos x + 1/sin y]/ (sin x)(cos y)
= 2[(sin x/sin y)(1/cos y) + cos x/sin y]/ (sin x)(cos y) (replace cos x with sin x/sin y and cot y with 1/tan y)
= 2[(sin x/sin y)(1/cos y) + (sin x/sin y)(cos y/sin y)]/ (sin x)(cos y)
= 2/cos ysin y
Simplifying right-hand side:
2 tan y + 2 cot x
= 2(tan y + cot x)
= 2(cot x/cot x + tan y/cot x)
= 2[(cos y/sin y)(1/sin x) + sin y/cos x]/ (sin x)(cos y) (replace cot x with cos x/sin x )
= 2[(cos y/sin y)(1/sin x) + (cos y/sin y)(sin x/cos x)]/ (sin x)(cos y)
= 2(cos y/sin x)/ (sin x)(cos y)
= 2/cos xsin x
Since, both simplified to the same expression, hence identity is verified.
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Jaylynn deposits 20% of the money she earns each week in a savings account. She earns
$85.00 each week. How much money will she deposit?
HINT: twenty percent OF $85.00 *
Answer:
She deposits $17.00 each week
Step-by-step explanation:
You multiply 85 times 0.2 which gives you 17.
A 95 percent confidence interval for the slope of the regression line relating the number of grams of carbohydrates and the number of kilocalories per 100-gram sample of various raw foods is given by (2.505, 6.696). The confidence interval is based on a random sample of n raw foods. A check of the conditions for inference on the slope shows they are reasonably met. Which of the following is a correct interpretation of the interval? A. Ninety-five percent of all such samples of size n will produce a sample slope between 2.505 and 6.696 for the regression line relating grams of carbohydrates and kilocalories per 100- gram sample of various raw foods. B. The probability is 0.95 that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-gram sample of various raw foods is between 2.505 and 6.696.
C. We are 95 percent confident that the slope of the regression line for the random sample of n raw foods is between 2.505 and 6.696. D. We are 95 percent confident that the predicted number of kilocalories per 100-gram sample will be between 2.505 and 6.696. E. We are 95 percent confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-gram sample of various raw foods is between 2.505 and 6.696.
"We are 95 percent confident that the true slope of the regression line relating grams of carbohydrates and kilocalories per 100-gram sample of various raw foods is between 2.505 and 6.696." The correct interpretation of the given confidence interval is option E:
In the context of statistics, a confidence interval provides a range of values within which the true parameter is likely to fall. The given confidence interval (2.505, 6.696) gives an estimated range for the slope of the regression line. The interpretation in option E correctly states that we can be 95 percent confident that the true slope of the regression line falls within this interval.
Option A is incorrect because it refers to "all such samples of size n," which is too general and doesn't specify the true parameter. Option B is incorrect because it confuses the concept of probability with confidence. Confidence intervals are constructed to estimate the true parameter, not to assign probabilities to its values.
Option C is incorrect because it only mentions the random sample of n raw foods and doesn't refer to the true slope. Option D is incorrect because it refers to the predicted number of kilocalories, which is not related to the slope of the regression line.
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Order the following list from least to greatest.
|-18|, -30, 35, -9.3
Answer:
Step-by-step explanation:
-30, -9.3, |-18|, 35.
Answer: -30, -9.3, |-18| (which is now just 18), and 35
Step-by-step explanation: The absolute value sign around |-18| makes the -18 an 18. For example, |-5| will become positive 5. |7| would stay positive even with the absolute value sign.
As negative numbers get bigger, they go left on the number line, making them smaller. Positive numbers go right on the number line, making then bigger.
charlie brown hit the baseball a distance of 3.5 miles.charlie brown is 5 feet tall. how many feet taller did the baseball travel, compared to charlie brown's height. do the math
Therefore, the baseball travels higher than Charlie Brown's height by (18,480 - 5) feet = 18,475 feet.
Given:
Charlie Brown hit the baseball a distance of 3.5 miles.
Charlie Brown is 5 feet tall.
We have to determine the distance in feet by which the baseball travels higher than Charlie Brown's height.
Mathematical Calculation: Charlie Brown hit the baseball a distance of 3.5 miles.
To convert miles into feet, multiply the value of miles with 5,280 (1 mile = 5,280 feet).
Therefore, the baseball travels 3.5 × 5,280 = 18,480 feet.
Charlie Brown is 5 feet tall.
The baseball travels higher than Charlie Brown's height by (18,480 - 5) feet=18,475 feet
Charlie Brown hit the baseball a distance of 3.5 miles. To convert miles into feet, we multiplied the value of miles with 5,280 (1 mile = 5,280 feet).
Therefore, the baseball travels 3.5 × 5,280 = 18,480 feet. Charlie Brown is 5 feet tall.
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suppose we want to test whether there is a difference between the room rates of luxury hotels in new york versus los angeles. we collect data from 20 random luxury hotels in new york and 30 random luxury hotels in l.a. what are the degrees of freedom associated with a pooled-variance two-sample t-test or confidence interval? type your answer here
The degrees of freedom associated with a pooled-variance two-sample t-test or confidence interval in the given case would be 48.
When a pooled-variance two-sample t-test or confidence interval is to be conducted on two groups, the degrees of freedom is calculated using the following formula: df = n1 + n2 - 2, where n1 and n2 are the sample sizes of the two groups being compared.
In the given scenario, data is collected from 20 random luxury hotels in New York and 30 random luxury hotels in Los Angeles. Therefore, the degrees of freedom for a pooled-variance two-sample t-test or confidence interval would be:df = 20 + 30 - 2df = 48. Hence, the degrees of freedom associated with a pooled-variance two-sample t-test or confidence interval are 48.
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-2k+13=-8k-35
What’s k
Answer:
k = -8
Step-by-step explanation:
-2k+13=-8k-35
Add 8k to each side
-2k+8k+13=-8k+8k-35
6k +13 = -35
Subtract 13 from each side
6k+13-13 = -35-13
6k = -48
Divide by 6
6k/6 = -48/6
k = -8
Consider figures 1 and 2 shown in the coordinate plane. Figure 1 has been translated to produce figure 2.
у
1
-6 -4
-2
6-
4-
2
O
-2
+
-6-
N-
-2
2
A.
4
-6
X
This translation can be described by (z,y) = (x +
y+
Reset
).
Next
Answer:
8
-2
Step-by-step explanation:
Notice that figure 1 fits right over figure 2. There is no dilation (change of size) and no rotation. This is just a translation, moving from one place to another.
All you need to do is look at one point on the original figure (figure 1) and the corresponding point in the translated figure (figure 2).
For example, look at the lower right vertex of the original figure.
That point has coordinates (-3, 3).
Now go right and down until you reach the corresponding point in figure 2. That corresponding point is (5, 1).
To go from (-3, 3) to (5, 1), we move 8 units right along the x-axis and 2 units down along the y-axis.
The change in x is +8.
The change in y is -2.
Answer: (x + 8, y + -2)