It's C.
Basically, when youre dividing something, the bases would stay the same but the exponents would change. For division, you'd have to substract the exponent of the denominator from the denominator (of like bases, of course)
In this case, it's 10^8-(-3).
The only reason it's not 10⁵ is because of the negative 3. If it were a positive 3, it would become 10⁵.
how many 1/4 foot cubes would fill the inside of a rectangular prism
Answer: 192 cubes.
Step-by-step explanation: Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube’s volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes.
12. Look for Relationships In the graph of a
vertical motion model shown, how is the initial
velocity related to the vertex of the parabola?
The vertical component of the initial velocity will basically decide where the vertices will be. that is how the initial velocity is related to the vertex of the parabola.
Describe Parabola?A parabola is a symmetrical curve that is formed by the intersection of a plane and a cone, where the plane is parallel to one of the cone's generating lines. The shape of a parabola is similar to that of a U-shaped curve, but with a sharper curve near the bottom of the U.
The parabola has several important properties, including a focus and a directrix. The focus is a point on the axis of symmetry of the parabola that is equidistant from every point on the curve. The directrix is a line that is perpendicular to the axis of symmetry and is equidistant from every point on the curve.
The equation of a parabola in standard form is y = ax² + bx + c, where "a" determines the direction and shape of the parabola, "b" determines the horizontal shift of the parabola, and "c" determines the vertical shift of the parabola.
The initial velocity will have two component basically, a horizontal component and a vertical component. The vertical component will decide how high the object will go, or in other words the vertical component of the velocity will decide the position of the vertex of the parabolis path which the object is going to follow.
When the vertical component of the velocity becomes 0, the object will be at it's maximum height (i.e the object will be at the vertex of the parabola)
The vertical component of the initial velocity will basically decide where the verties will be. that is how the initial velocity is related to the vertex of the parabola.
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.Lid of most kitchen utensils are circular. If the circumference of the pot is 154 cm, what could be the radius of the pot
Answer:
radius of the pot is 24.5 cm
Step-by-step explanation:
r≈24.51cm
Circumference = 154 cm
Using the formula
C=2πr
Solving for r
2πr = 154
r ≈ 24.50986cm
The radius of the pot will be 24.52229299≅24.522 if the circumference of the pot is 154 cm.
A circle is a Two-Dimensional closed figure that has no corners or edges. The Circle will have a diameter, radius and circumference.
The circumference of the circle is calculated by the formula,
C=2πr
where, C= Circumference of the circle
π= 3.14 (fixed value)
r= Radius of the circle
As given per the problem C= 154 cm, substitute this value in the formula and derive r
=> 2πr = 154
=> πr = 154/2
=> πr = 77
=> r = 77/π
=> r = 77/3.14
=> r= 24.52229299 ≅ 24.52
Therefore, radius(r) = 24.52
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What value correctly fills in the blank so that the expressions are equivalent? 18 + 45 = blank x (2 + 5) 2 3 7 9
Answer:
9
Step-by-step explanation:
18 divided by 9 is 2 and 45 divided by 9 is 5 so 9(2+5) is equal to 18+45
Answer:
x=9
Step-by-step explanation:
18+45 =x (2+5), so
63 = ? * 7 divide bothe sides by 7
x=63/7=9
Fill in the blanks-----------
3x + y =11
5x - y = 21
\(\bold{Heya...}\)
3x + y = 11.
E x p l a n a t i o n : -Let's solve for x ~
3x + y = 11
Step 1: Add -y to both sides.
\(\mathtt{3x \: + \: y \: + \: -y \: = \: 11 \: + \: -y}\)
\(\mathtt{3x \: = \: -y \: + \: 11}\)
Step 2: Divide both sides by 3.
\(\mathtt{\frac{3x}{3} \: = \: \frac{-y \: + \: 11}{3}}\)
↓ \(\underline{A \: n \: s \: w \: e \: r :}\) ↓
\(\bold{x \: = \: \frac{-1}{3}y \: + \: \frac{11}{3}}\)
Let's solve for x ~
5x - y = 21.
Step 1: Add y to both sides.
\(\mathtt{5x \: - \: y \: + \: y \: = \: 21 \: + \: y}\)
\(\mathtt{5x \: = \: y \: + \: 21}\)
Step 2: Divide both sides of 5.
\(\mathtt{\frac{5x}{5} \: = \: \frac{y \: + \: 21}{5}}\)
↓ \(\underline{A \: n \: s \: w \: e \: r :}\) ↓
\(\bold{x \: = \: \frac{1}{5}y \: + \: \frac{21}{5}}\)
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\(\huge{\bold{\red{\star{\pink{ItzSehzadi}}}}\)
A binomial probability distribution with p = .3 is
a. bimodal
b. symmetrical
c. positively skewed
d. negatively skewed
A binomial probability distribution with p = 0.3 is c. positively skewed.
A binomial probability distribution with p = 0.3 is positively skewed. This means that the distribution is skewed to the right. In a binomial distribution, the skewness is determined by the value of p, which represents the probability of success in each trial. When p is less than 0.5, as in this case (p = 0.3), the distribution tends to be positively skewed.
The correct answer is c. positively skewed.
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In the diagram below of triangle BCD, E is a midpoint of BC and F is a midpoint of CD. If EF = 44 - 8x, and BD = 44 - 5x, what is the measure of BD?
Answer:
BD = 24
Step-by-step explanation:
EF = 44 - 8x,
BD = 44 - 5x.
Since EF is a midsegment of ∆BCD, therefore, based on the Midsegment Theorem,
\( EF = \frac{1}{2}(BD} \)
\( 44 - 8x = \frac{1}{2}(44 - 5x} \)
Multiply both sides by 2
\( 2(44 - 8x) = 44 - 5x \)
\( 88 - 16x = 44 - 5x \)
Collect like terms
\( 88 - 44 = 16x - 5x \)
\( 44 = 11x \)
Divide both sides by 11
\( 4 = x \)
x = 4
BD = 44 - 5x
Plug in the value of x
BD = 44 - 5(4) = 44 - 20
BD = 24
Using the graph below state the domain.A. [9, 00)B. (-00,00)C. [-4,00)D. (2,00)
The domain is:
\((-\infty,\infty)\)This comes from the fact that the function will go in both ways of the plane.
Therefore the answer is B.
PLEASE HELP
Patrick ate 56% of the cake. What fractional part did he eat?
A. 5/6
B. 14/25
C. 4/15
D. 8/27
Answer:
B
Step-by-step explanation:
Answer: B. 14/25
Step-by-step explanation:
Convert to a fraction by placing the expression over 100.
Kiaya recorded the distance she rode her bike during four different workouts. She rode the same number of kilometers per hour during each workout.
Answer:
Step-by-step explanan
i tried my best anwsering it
PLEASE PLEASE PLEASE HELP ~ URGENT WILL MARK BRAINLIEST
Can someone please help me find my y - intercept for this scatter plot?
THANM YOU SO MUCH!!
Answer:
11,000 or to be more specific $11,000
Step-by-step explanation:
Well there is no equation provided so one has to go by the graph
The y-intercept is where the line intersects the y-axis
Looking at the graph we see this is at y ≅ 11,000
Of course it all depends on your best fit line that you have drawn though it looks OK
Basically the y-intercept for this graph is $11,000 which is the cost of the Prius in 2004
4y 8x - 16 as a function
Answer:
The function form is:
f(x) = 2x - 8
Rational numbers a, b, and c are shown on
the following number line.
a b
0 c
Note that the distance between a and b is the
same as the distance between 0 and c.
Make a true statement by placing the letters
a, b, and c into the equation.
The distances between a and b and between 0 and c are equal, which can be expressed mathematically using Absolute value notation as |b - a| = |c - 0|.
One possible true statement that can be made using the letters a, b, and c from the given number line is:|b - a| = |c - 0|
This statement represents the fact that the distance between a and b is equal to the distance between 0 and c, which is given in the problem statement. The absolute value signs are used to ensure that the distances are represented as positive quantities.
Another way to express this statement is:|b - a| = |c|or|a - b| = |c|
Both of these expressions are equivalent to the first statement, since |c - 0| is the same as |c|.
Therefore, we can conclude that the distances between a and b and between 0 and c are equal, which can be expressed mathematically using absolute value notation as |b - a| = |c - 0|.
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8. An automobile traveled 320 miles in 6 hours. What is its average speed?
Answer:
The automobile's average speed is 53.33 mph.
Step-by-step explanation:
Since average speed equals total distance traveled divided by the time of the travel we have:
d = 320 mi the distance traveled
t = 6 hr the time of the travel
v = average speed
v = d/t
v = 320/6
v = 53.33 mph
Answer:
about 53 miles per hour
Step-by-step explanation:
320/6 is 53.33 repeated
you divide 320/6 because you need to know how many miles you going in an hour
hope that helps!
12. A rectangle is drawn so that the base lies on thex-axis, and the top corners are on the curvey=48−x 2. Draw a diagram. Find the maximum area of such a rectangle.
the maximum area of such a rectangle will be 144 unit²
What is a rectangle?
Rectangles are quadrilaterals having four right angles in the Euclidean plane of geometry. Various definitions include an equiangular quadrilateral, A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason.
Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.
The area of rectangle is A = a*b
A = 2x*(48-x²) = 96x - 2x³
We are asked to maximize the Area as changes so hopefully, we can identify a critical point of
It an associated with a maximum, So we need to find \(\frac{dA}{dx}\) = 0
96 - 6x² = 0
x² =96/6 = 16
x = ±6
So the width = 12
Height = 48 - 36 = 12
So the area = 144 unit²
Hence the maximum area of such a rectangle will be 144 unit²
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Make a preference table based on these and after, find the winner using (1) plurality method (2) hare system method (3) condorcet method (4) sequential piecewise method (with agenda Math-English-Science-Calculus).
Data/Results of the survey for the making of preference table:
M-E-S-C
M-E-S-C
M-S-E-C
S-C-M-E
C-M-S-E
E-C-M-S
S-E-M-C
M-C-E-S
The numbers in the table indicate the preference of each subject, the entry "4" in the Math column and "3" in the English column means participant ranked Math as their 4rth preference and English as their 3rd preference.
To determine the winner using different methods:
Plurality Method: The subject with the highest number of first-place rankings wins. In this case, Math has the most first-place rankings (2), so it is the winner.
Hare System Method: The subject with the fewest last-place rankings wins. Calculus has the fewest last-place rankings (1), so it is the winner.
Condorcet Method: A subject wins if it is preferred over all other subjects in pairwise comparisons. Math is preferred over all other subjects in pairwise comparisons, so it is the winner.
Sequential Piecewise Method (Agenda: Math-English-Science-Calculus): In this method, subjects are considered one by one based on the agenda. Math has the highest overall ranking, so it is the winner.
In summary, Math emerges as the winner in all four methods (Plurality, Hare System, Condorcet, and Sequential Piecewise) based on the given preference table.
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Leona has 300 cups of lemonade to have at a party. An equal amount of
lemonade was put in 6 pitchers. How many quarts did Leona put in each
pitcher?
Answer:
300/6=50 cups(1 pitcher contains 50 cups of lemonade)
convert into quarts:
50/4=12.5 quarts
1. Find the equation of a line, in Slope Intercept Form, that has a slope of 2 and
passes through the point (-3, 1).
Answer: y = 4
Step-by-step explanation:
Makensie bought 5.4 pounds of cashews for $18.62. Approximately how many pounds of cashews can Makensie purchase for $1?
Answer:
$4.00 per pound
Step-by-step explanation:
A grocery store sells cashew nuts at $8.00 per pound and peanuts at $4.00 per pound. They want to mix 10 pounds of the cashews with peanuts to create a mixture that will sell at $6.50 per pound
Math 110 Course Resources - Applications of Definite integrals Course Packet on income streams and annuities A Math 110 student decides to make quarterly payments of $2,000 into a retirement account paying 6% interest per year compounded continuously. If the student continues to make these payments for 50 years, compute each of the following values. Account balance after 50 years (exact value) = Account balance after 50 years (rounded to the nearest cent) =1 dollars Total of all deposits (exact value) = Total of all interest payments (rounded to the nearest cent) =
The account balance after 50 years is approximately $40,171.07. The total of all deposits is $400,000, and the total interest payments amount to approximately -$359,828.93.
To compute the values, we need to use the formula for the future value of an annuity with continuous compounding:
A = P * e^(rt)
where:
A is the account balance,
P is the payment amount,
r is the interest rate per period,
t is the number of periods, and
e is the base of the natural logarithm.
Given:
P = $2,000 (quarterly payments),
r = 6% per year = 0.06,
t = 50 years.
First, let's calculate the account balance after 50 years:
A = 2000 * e^(0.06 * 50)
A ≈ 2000 * e^(3)
A ≈ 2000 * 20.08553692
A ≈ 40,171.07
Therefore, the account balance after 50 years (exact value) is $40,171.07.
Rounded to the nearest cent, the account balance after 50 years is $40,171.07.
Next, let's calculate the total of all deposits:
Total Deposits = P * number of payments
Since there are 4 payments per year for 50 years:
Total Deposits = 2000 * 4 * 50 = $400,000
Therefore, the total of all deposits (exact value) is $400,000.
Finally, let's calculate the total of all interest payments:
Total Interest = Account Balance - Total Deposits
Total Interest = 40,171.07 - 400,000
Total Interest ≈ -$359,828.93
Rounded to the nearest cent, the total of all interest payments is -$359,828.93 (negative value indicates that the account balance is less than the total deposits).
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(06.03)
For the expression 6 + y − 3, determine the coefficient for the variable term. (2 points)
−3
0
1
6
(b) Work out the value of (2.4 x 10³) x (9.5 x 10³)
Give your answer in standard form.
Answer:
\(2.28*10^7\)
Step-by-step explanation:
\((2.4*10^3)(9.5*10^3)=(2.4*9.5)(10^3*10^3)=22.8*10^6=2.28*10^7\)
Answer:
228,000
Step-by-step explanation:
(2.4x10^3) x (9.5x10^3)
(2.4x100) x (9.5x100)
240x950
228,000
a sack contains n unbiased coins. among them, n-1 coins are normal (i.e., head on one side andtail on the other side), and one coin is fake, having heads on both sides. you pick a coin,uniformly at random, from the sack and flip it twice. you get heads both times. what is theconditional probability that you picked the fake coin?
The conditional probability that you picked the fake coin given that you got heads twice is 4/(3n-1).
Let E be the case where you choose the bogus coin and F be the case where you got heads twice. We wish to calculate P(E|F), which is the likelihood that you chose the fake coin given that you received heads twice.
By Bayes' theorem, we have:
P(E|F) = P(F|E)P(E) / P(F)
We can calculate each term on the right-hand side as follows:
P(F|E) = 1, Because the fake coin contains heads on both sides and always results in two heads when flipped.
P(E) = 1/n, since there is only one fake coin among n coins.
P(F) = P(F|E)P(E) + P(F|not E)P(not E), where not E is the event that you picked a normal coin. We can calculate:
P(F|not E) = (n-1) * (1/2)^2 = (n-1)/4, Because each normal coin has a 50% chance of revealing heads on each given flip and there are n-1 normal coins
P(not E) = (n-1)/n, since there are n-1 normal coins among n coins.
Therefore, we have:
P(F) = 1 * (1/n) + (n-1)/4 * (n-1)/n = (3n-1)/(4n)
Substituting these values into Bayes' theorem, we get:
P(E|F) = 1 * (1/n) / ((3n-1)/(4n)) = 4/(3n-1)
Thus, the conditional probability that you picked the fake coin given that you got heads twice is 4/(3n-1).
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NEED HELP QUICK!!!!! A set of data includes the point (17,3.8) and has the regression equation y=-25x+436. What is the residual for this point
Given:
The regression equation is:
\(y=-25x+436\)
The given point is (17,3.8).
To find:
The residual for the given point.
Solution:
We have,
\(y=-25x+436\)
Substituting \(x=17\), we get
\(y=-25(17)+436\)
\(y=-425+436\)
\(y=11\)
The predicted value at \(x=17\) is 11.
The given point is (17,3.8). It means the observed value at \(x=17\) is 3.8.
Formula for residual:
Residual = Observed value - Predicted value
Residual = \(3.8-11\)
Residual = \(-7.2\)
Therefore, the residual for the given point is -7.2.
Given the side lengths, determine whether the triangle is acute, obtuse, right, or not a triangle
Answer:
Not a triangle
Step-by-step explanation:
The sum of the lengths of sides a, b must be greater than the length of the remaining side c.
Answer:
not a triangle
Step-by-step explanation:
11+13<25
Did I put the letters in the right places?
Answer:
Yes u did thats what i did too XD
Jaya has 26 hockey cards. Jaya has 1 fewer than 3 times the number her brother, Kumar has. How many cards does Kumar have? Form an algebraic equation and solve this question.
Answer:
The correct answer to the problem is 9
Step-by-step explanation:
3 x- 1 = 26
3 x = 27
x = 9
what is the size of the key space if all 8 characters are randomly chosen 8-bit ascii characters? how long does the average key search take with a single pc?
The size of the key space is 256^8, or 2^64. The average key search time would be 2^64/processing power of PC, which would be a very large number.
The question is asking about the size of the key space if 8 randomly chosen 8-bit ASCII characters are used, and how long it would take to find a key on a single PC.
The size of the key space if all 8 characters are randomly chosen 8-bit ASCII characters is 256^8 = 2^64 = 18,446,744,073,709,551,616.
The average key search time with a single PC would be 18,446,744,073,709,551,616 / 2,000,000,000,000 (2 trillion) operations per second = 9,223,372,036,854,775.8 seconds, which is approximately 292,030 years.
The size of the key space for an 8-bit ASCII character is 2^64 combinations. On average, it will take a single PC 2^64 / (processing speed of PC in Hz) seconds to search through the entire key space.
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The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual For a sample of n=64, find the probability of a sample mean being less than 22. 1 if =22 and o=134 Click the icon to view page 1 of the standard normal table Click the icon to view page 2 of the standard normal table For a sample of n=64, the probability of a sample mean being less than 22.1 il p=22 and o=1.34 is (Round to four decimal places as needed) Would the given sample mean be considered unusual? The sample mean be considered unusual because it has a probability that is than 5%
The probability of a sample mean being less than 22.1, given a sample size of n=64, a population mean of μ=22, and a population standard deviation of σ=1.34, is [probability value]. The given sample mean of 22.1 would be considered unusual because its probability is less than 5%.
To determine the probability of a sample mean being less than 22.1, we can use the standard normal distribution. Since the population mean (μ) and population standard deviation (σ) are known, we can calculate the z-score for the given sample mean using the formula:
z = (x - μ) / (σ / sqrt(n))
In this case, x represents the given sample mean of 22.1, μ is the population mean of 22, σ is the population standard deviation of 1.34, and n is the sample size of 64.
By substituting these values into the formula, we can calculate the z-score. Once we have the z-score, we can look it up in the standard normal table to find the corresponding probability.
If the probability is less than 0.05 (5%), we consider the result to be statistically unusual. In this case, the given sample mean of 22.1 has a probability that is less than 0.05, indicating that it would be considered unusual.
Therefore, the probability of a sample mean being less than 22.1, given the specified parameters, is [probability value], and the given sample mean would be considered unusual.
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