Answer:
Step-by-step explanation:
when x=3 because, 4x3=12, and 12-12=0 and when 0 is a denominator, then the expression is undefined.
Use the graph to write a linear function that relates y to x
Answer:
y=4/3x+2
Step-by-step explanation:
Which is the correct first step in solving the inequality –4(2x – 1) > 5 – 3xanswers are?ADistribute–4 to get –8x + 4 > 5 – 3x.BDistribute –4to get –8x – 1 > 5 – 3x.CSubtract2xfrom both sides of the inequality.DAdd 1to both sides of the inequality
The correct first step in solving the inequality –4(2x – 1) > 5 – 3x is option A: Distribute –4 to get –8x + 4 > 5 – 3x.
This is because we are trying to solve for x, so we need to get x on one side of the inequality and all the other terms on the other side. In order to do this, we need to apply distributive property of multiplication over addition, which means we need to multiply the -4 with the 2x-1. By doing this we get -8x + 4 > 5 - 3x. This can help us to move forward in solving the inequality. This is the correct first step as it gets us closer to isolating the variable x on one side of the inequality.
After this step, we can further simplify the inequality by adding or subtracting similar terms to get the final solution.
It is important to remember that when solving inequalities we need to be careful with the signs, specially when dividing or multiplying by a negative number, as it might change the direction of the inequality.
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The annual average rainfall in new york is 50 ⅕ inches
Per year. Write this fraction as a decimal. HELPPP
50.2 should be the anwser i doubled checked with search
and it says it is correct so it should be good.
Step-by-step explanation:
math
Solve to find x
log (3x+5) to base 5= 2log (1-3x) to base 25
Answer:
x = -2/ 3
Step-by-step explanation:
in order to cancel out the logs they should have common bases
\( \mathsf{ log_{5}(3x + 5) = 2 log_{25}(1 - 3x) } \)
we can write 25 as 5²
\(\mathsf{ \implies log_{5}(3x + 5) = 2 \: log_{ {5}^{2} }(1 - 3x) } \)
we know that the reciprocal of the exponents of the bases are multiplied to the log
\(\mathsf{ \implies log_{5}(3x + 5) = \frac{1}{\cancel{2} } \times \cancel{2} \: log_{ 5}(1 - 3x) } \)
and now since the logs have common bases
\(\mathsf{ \implies \cancel { log_{5}}(3x + 5) = \cancel{ log_{ 5}}(1 - 3x) } \)
we're left with
\(\mathsf{ \implies 3x + 5 = 1 - 3x} \)
\(\mathsf{ \implies 9x = -4} \)
x = -2/ 3
A number, x, rounded to the nearest 10 is 630. Another number, y, rounded to the nearest 10 is 420. What are the lower and upper bounds of x + y?
The lower and upper bounds of x + y are 1040 and 1058, respectively.
What are lower bounds and upper bounds?
Lower bounds and upper bounds are used to define the range of possible values for a given quantity or measurement.
A lower bound represents the smallest possible value that a quantity could have, based on the available information or constraints. This means that the actual value of the quantity must be greater than or equal to the lower bound. For example, if we know that a person's height is between 150cm and 170cm, then the lower bound of their height is 150cm.
An upper bound represents the largest possible value that a quantity could have, based on the available information or constraints. This means that the actual value of the quantity must be less than or equal to the upper bound. For example, if we know that a person's weight is between 50kg and 80kg, then the upper bound of their weight is 80kg.
In some cases, we may be able to determine a range of possible values for a quantity using both a lower bound and an upper bound. This range of possible values is sometimes referred to as an interval or a confidence interval.
To find the lower and upper bounds of x + y, we need to consider the possible values of x and y that would result in the maximum and minimum values of their sum when added together.
Let's start by considering the possible values of x and y that would round to 630 and 420, respectively, when rounded to the nearest 10:
x: Any number between 625 and 634 would round to 630 when rounded to the nearest 10.
y: Any number between 415 and 424 would round to 420 when rounded to the nearest 10.
To find the lower bound of x + y, we need to add the smallest possible values of x and y:
Lower bound = 625 + 415 = 1040
To find the upper bound of x + y, we need to add the largest possible values of x and y:
Upper bound = 634 + 424 = 1058
Therefore, the lower and upper bounds of x + y are 1040 and 1058, respectively.
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order from the least to the greatest 5 -13 _19 -8 _14 -12
Write the equation for this line
A. Y= -2
B. Y=2x
C. Y= 1/4 x + 2
D. Y=1x+4
Answer:
C hope this helps brother, I guess I really have to stall on
Why 16 not a perfect cube
A perfect cube is a number that is the cube of an integer. For example, 125 is a perfect cube since 125 = 5 × 5 × 5= \(5^{3}\). Some examples of perfect cubes are 1, 8, 27, 64, 125, 216, 343, ..
16 does not have a perfect cube, but does have a perfect square 4×4=16
Refer to the Exhibit Cape May Realty. Testing the significance of the slope coefficient at a = 0.10, one can conclude that a. Because the p-value < 0.10, we can reject the null hypothesis. Therefore, there is enough evidence to say that the square footage has no effect on the property rental rate. b. Because the p-value < 0.10, we fall to reject the null hypothesis Therefore, there is enough evidence to say that there is no relationship between square footage and property rental rate. c. Because the p-value <0.10, we can reject the null hypothesis. Therefore, there is enough evidence to say that the population slope coefficient is different from zero. d. Because the p-value <0.10.we can reject the null hypothesis. Therefore, there is enough evidence to say that the population slope coefficient is greater than zero.
Based on the given information in Exhibit Cape May Realty, the question is asking to test the significance of the slope coefficient at a significance level of a = 0.10. The p-value is less than 0.10, which means that the null hypothesis can be rejected. This leads to the conclusion that the population slope coefficient is different from zero. Therefore, option C is the correct answer.
This means that there is a statistically significant relationship between square footage and property rental rate. As the slope coefficient is different from zero, it indicates that there is a positive or negative relationship between the two variables. However, it does not necessarily mean that there is a causal relationship. There could be other factors that influence the rental rate besides square footage.
In summary, the statistical analysis conducted on Exhibit Cape May Realty indicates that there is a significant relationship between square footage and property rental rate. Therefore, the population slope coefficient is different from zero. It is important to note that this only implies a correlation, not necessarily a causal relationship.
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list all the ordered pairs in the relation r = {(a, b) | a divides b} on the set {1, 2, 3, 4, 5, 6}.
The ordered pairs in the relation r = {(a, b) | a divides b} on the set {1, 2, 3, 4, 5, 6} are: (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 2), (2, 4), (2, 6), (3, 3), (3, 6), (4, 4), (5, 5), (6, 6).
The relation r = {(a, b) | a divides b} on the set {1, 2, 3, 4, 5, 6} represents the set of ordered pairs where the first element divides the second element.
Let's determine all the ordered pairs that satisfy this relation:
For the element 1: (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
For the element 2: (2, 2), (2, 4), (2, 6)
For the element 3: (3, 3), (3, 6)
For the element 4: (4, 4)
For the element 5: (5, 5)
For the element 6: (6, 6)
Therefore, the ordered pairs are: (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 2), (2, 4), (2, 6), (3, 3), (3, 6), (4, 4), (5, 5), (6, 6).
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Line k is parallel to y= -2x - 1 and passes through the point (4,3). What is the y intercept of line k?
A. (0,1)
B. (0,7)
C. (0,10)
D. 0,11)
The circle below is made up of nine parts that are all the same size, Vincent marks the angle in one part of the circle as shown. Complete the statements to show the connection between the fraction of Vincent's circle marked by the angle and the angle measure. The measure of the angle turns through 2 of the circle. The angle measure can be found using the expression Х
Since the circle is divided into 9 equal parts, this will serve as our denominator. Each slice is 1/9 of the circle.
Since Vincent marked two parts of the circle, that measures 2/9 of the circle.
We know that one whole circle is one revolution and that is 360 degrees.
Hence, to measure the marked angle, we can use the expression:
\(\frac{2}{9}\times360\)how to write 15*15*15*15 as an exponent
Answer:
\(15^{4}\)
Step-by-step explanation:
Since 15 is being multiplied by itself four times, it is raised to the fourth power.
252 = 42 x 6
Which statement does the equation represent? Answer options with 4 options
A. 42 is 6 more than 252.
B. 252 is 42 more than 6.
C. 42 is 6 times as many as 252.
D. 252 is 42 times as many as 6.
Answer:
C. 42 is 6 times as many as 252
Step-by-step explanation:
because 42×6 = 252
5 The average low temperature for one winter day is 10°F.
The low temperature on that day was actually -2°F.
Write a subtraction problem to represent the
situation. Then write the subtraction problem as
an addition problem.
Answer:
10 - (-2) = 12, 10 + 2 = 12
Step-by-step explanation:
10 - (-2) = 12
10 + 2 = 12
Which answer choice correctly shows 579 written as a Roman Numeral? A. MLXXIV B. DLXXIX C. DLXXVIIII D. DLXXIV
mary's winning art design is shown. the smallest circle has radius 2 inches, with each successive circle's radius increasing by 2 inches. approximately what percent of the design is black?
Approximately 16% of the design is black.
Since the radius of each circle increases by 2 inches, the diameter of each circle increases by 4 inches. Thus, the diameter of the largest circle is 2 + 4(5) = 22 inches.
The area of each circle is proportional to the square of its radius, so the area of the smallest circle is π(\(2^2\)) = 4π square inches. The area of the second circle is π(\(4^2 - 2^2\)) = 12π square inches, the area of the third circle is π(\(6^2 - 4^2\)) = 20π square inches, and so on.
The total area of the design is the sum of the areas of all the circles, which is:
4π + 12π + 20π + 28π + 36π = 100π
The black area in the design consists of four quarter circles, each with a radius of 4 inches. The area of a one-quarter circle is:
(1/4)π(\(4^2\)) = 4π
So the total black area is 4 times this, or 16π.
The percent of the design that is black is:
(16π / 100π) x 100% ≈ 16%
Therefore, approximately 16% of the design is black.
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What is 1 minus 1 divided by 5
Answer:
0.8Step-by-step explanation:
Remember PEMDAS
1-1:5=
1-0.2=
0.8
What is the value of x in the pentagon above?
The sum of the interior angles of a pentagon is 540°.
We can use this information to find the value of x by adding the rest of the interior angles and then substracting them from 540°:
\(\begin{gathered} 90+90+100+105+x=540 \\ 385+x=540 \\ x=540-385 \\ x=155 \end{gathered}\)It means that the correct answer is b. 155.
How would you explain 2-3?
Valorie made five times more baskets than her brother, Vance.
The equation v = 5n, where v represents the number of baskets Valorie made, and n represents the number of baskets Vance made, shows this relationship.
If Valorie made 55 baskets, how many baskets did Vance make?
A.
8
B.
11
C.
50
D.
60
Answer:
B. 11
Step-by-step explanation:
Valorie made five times more baskets, so if you replace the V in the equation with how many baskets she made (55), it would look like 55=5n. Divide 55 and the n by five to get rid the five in the equation. 11=n. Thus, the answer is B.
The bag contains green yellow and orange marbles. The ratio of green marbles to yellow marbles is 2 to 5. The ratio of yellow marbles to orange marbles is 3 to 4. What is the ratio of green marbles to orange marbles?
Answer:
2 to 4 or simplified 1 to 2
Step-by-step explanation:
There 2 green marbles and 4 orange marbles so the ratio is 2 to 4
You can simplify that down to 1 to 2
The first term of a geometric sequence is 2, and the 4th term is 250. Find the 2 terms between the first and the 4th term.
Answer:
second term: 10
third term: 50
Step-by-step explanation:
The equation for any geometric sequence is \(a_{n} = a_{1} *r^{n-1}\) where n is the term number you want to find, \(a_{1}\) is the first term in the sequence, and \(r\) is the common ratio. The equation for this sequence specifically uses 5 as its common ratio, so the equation is \(a_{n} =2*5^{n-1}\)
\(a_{1} = 2*5^{1-1}=2*5^{0} =2*1=2\)
\(a_{2} = 2*5^{2-1}=2*5^{1} =2*5=10\)
\(a_{3} = 2*5^{3-1}=2*5^{2} =2*25=50\)
\(a_{4} = 2*5^{4-1}=2*5^{3} =2*125=250\)
Count the possible combinations of 2 letters chosen from L, M, N, O. The possible combinations of 2 letters are __.
Answer:
The possible combinations of two letters is 12
Step-by-step explanation:
Here, we want to count the possible combinations of two letters
Now, for the first letter any point in time, we have 4 letters to pick from,
For the second letter we have 3 letters to pick from
So therefore, we have the possible combinations as;
4 * 3 = 12
Answer:
6
Step-by-step explanation:
The method you were doing was for permutation (nPr) and the question needs you to do the method for combinations (nCr).
Using the file random sample of interest rates, complete a single factor anova. What is the f-test statistic?.
To perform a one-way ANOVA, you need a dataset containing interest rates for different groups or categories. Each group should have independent samples, and the interest rates within each group should be approximately normally distributed.
To calculate the F-test statistic, we need to compare the variation between the group means to the variation within the groups. In this case, the groups are the different interest rates. The F-test statistic measures the ratio of the mean square between groups to the mean square within groups. It determines whether there is a significant difference in means across the groups. A higher F-test statistic indicates a greater difference between the group means and suggests a higher likelihood of rejecting the null hypothesis. Conversely, a lower F-test statistic suggests that the group means are similar, supporting the null hypothesis.
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Hell meeeeeeeeeeee please
Answer:
OOOOOOOOHHH SHUTE BROTHER SORRY WISHED I COULD HELP but im blonde so sowwy
Quadrilaterals Q and P are similar. What is the scale factor of the dilation that takes Q to P
Dilation involves changing the size of a shape.
The scale factor of dilation that takes quadrilateral Q to quadrilateral P is 0.8
The corresponding sides of quadrilaterals Q and P are:
\(P = 2\)
\(Q = 2.5\)
So, the scale factor (k) of dilation that takes Q to P is:
\(k = \frac PQ\)
Substitute values for P and Q
\(k = \frac 2{2.5}\)
Divide 2 by 2.5
\(k = 0.8\)
This means that the scale factor is 0.8
Hence, the scale factor of dilation that takes quadrilateral Q to quadrilateral P is 0.8
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Answer: 4/5
0.8 as a decimal which is the right answer options are
3/5 4/5 5/4 5/3
Let S, T , X, and Y be subsets of some universal set. Assume that
242 Chapter 5. Set Theory
(i) S [T X [Y; (ii) S \T D;; and (iii) X S.
(a) Using assumption (i), what conclusion(s) can be made if it is known that a 2 T ? (b) Using assumption (ii), what conclusion(s) can be made if it is known that a 2 T ? (c) Using all three assumptions, either prove that T Y or explain why it
Set theory is a branch of mathematics that deals with the study of sets, which are collections of objects. A subset is a set that contains only elements that belong to a larger set, called the universal set. In this context, let S, T, X, and Y be subsets of some universal set.
Assuming that S [T X [Y, we can conclude that if a belongs to T, then a belongs to S or a belongs to X or a belongs to Y. This is because T is a subset of S [T X [Y, and any element in T must belong to at least one of these sets.
Assuming that S \T D, we can conclude that if a belongs to T, then a does not belong to S. This is because S \T is the set of elements that belong to S but not to T, and D is the empty set, meaning that there are no elements in the set. Therefore, if a belongs to T, it cannot belong to S \T, and so it must not belong to S.
Assuming that X S, we can use all three assumptions to prove that T Y. Suppose that a belongs to T. Then, using assumption (i), we know that a belongs to S or a belongs to X or a belongs to Y. But since a cannot belong to S (using assumption (ii)), we must have either a belongs to X or a belongs to Y. But since X is a subset of S (using assumption (iii)), we know that if a belongs to X, then a belongs to S. Therefore, we must have a belongs to Y. This holds for any element a in T, so we can conclude that T Y.
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518. Coin Change 2
You are given coins of different denominations and a total amount of money. Write a function to compute the number of combinations that make up that amount. You may assume that you have infinite number of each kind of coin.
If we have coins = [1, 2, 5] and amount = 5, then the function should return 4, because there are four combinations of coins that make up an amount of 5: [1, 1, 1, 1, 1], [1, 1, 1, 2], [1, 2, 2], and [5].
This problem can be solved using dynamic programming. Let's define dp[i][j] as the number of combinations of coins using the first i coins to make up an amount j. Then we can use the following recurrence relation:
dp[i][j] = dp[i-1][j] + dp[i][j-coins[i]]
The first term on the right-hand side of the equation corresponds to the case where we don't use the i-th coin, while the second term corresponds to the case where we use the i-th coin at least once. Note that we only need to consider cases where j >= coins[i], because it's impossible to make up an amount less than the value of the i-th coin using that coin.
We can initialize dp[0][0] = 1, because there is exactly one way to make up an amount of zero using no coins. Finally, the answer to the problem is dp[n][amount], where n is the total number of coins.
Here's the Python code:
def change(amount, coins):
n = len(coins)
dp = [[0] * (amount+1) for _ in range(n+1)]
dp[0][0] = 1
for i in range(1, n+1):
dp[i][0] = 1
for j in range(1, amount+1):
dp[i][j] = dp[i-1][j]
if j >= coins[i-1]:
dp[i][j] += dp[i][j-coins[i-1]]
return dp[n][amount]
For example, if we have coins = [1, 2, 5] and amount = 5, then the function should return 4, because there are four combinations of coins that make up an amount of 5: [1, 1, 1, 1, 1], [1, 1, 1, 2], [1, 2, 2], and [5].
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A six-sided number cube is rolled, and then a spinner with 5 equal sections labeled A through E IS spun
What is the probability of rolling a number greater than 2 and spinning a vowel?
Answer:
4/15
Step-by-step explanation:
Sample Space (List of possible outcomes)
1A, 1B, 1C, 1D, 1E, 2A, 2B, 2C, 2D, 2E, 3A, 3B, 3C, 3D, 3E, 4A, 4B, 4C, 4D, 4E, 5A, 5B, 5C, 5D, 5E, 6A, 6B, 6C, 6D, 6ETotal outcomes = 6 x 5 = 30Conditions
Number greater than 2VowelSpace for Listed Outcomes (with conditions applied)
3A, 3E, 4A, 4E, 5A, 5E, 6A, 6EOutcomes = 4 x 2 = 8Probability
Listed outcomes / Total outcomes8/304/15