Answer:
- p / 2
Step-by-step explanation:
4 / -8 = - 1/2
p^3 / p^2 = p
- 1/2 * p = - p / 2
Evaluate the following expressions: Group of answer choices (2 * 2 - 3 > 2 && 4 - 2 > 5) [ Choose ] (2 * 2 - 3 > 2 || 4 + 2 > 5) [ Choose ] (2 * 2 - 3 > 2 && 4 + 2 > 5) [ Choose ]
Group of answer choices: (2 * 2 - 3 > 2 && 4 - 2 > 5)To evaluate the given expression, we need to replace the values of the terms with their numerical values.
Here is how to do it:
2 * 2 = 4, so (2 * 2 - 3 > 2) becomes (4 - 3 > 2)
which is equivalent to (1 > 2), but this is false4 - 2 = 2, so (4 - 2 > 5) becomes (2 > 5) which is also false. Therefore, the expression
(2 * 2 - 3 > 2 && 4 - 2 > 5)
is false.2. Group of answer choices:
(2 * 2 - 3 > 2 || 4 + 2 > 5)
To evaluate this expression, we can apply the same process as above:
2 * 2 = 4, so (2 * 2 - 3 > 2) becomes (4 - 3 > 2)
which is equivalent to (1 > 2), but this is false4 + 2 = 6, so (4 + 2 > 5) becomes (6 > 5) which is true. Therefore, the expression
(2 * 2 - 3 > 2 || 4 + 2 > 5) is true.
Group of answer choices:
(2 * 2 - 3 > 2 && 4 + 2 > 5)
Once again, we can apply the same process:
2 * 2 = 4, so (2 * 2 - 3 > 2) becomes (4 - 3 > 2)
which is equivalent to (1 > 2), but this is false 4 + 2 = 6, so (4 + 2 > 5) becomes (6 > 5) which is true. Therefore, the expression
(2 * 2 - 3 > 2 && 4 + 2 > 5)
is false.
The given expressions have been evaluated, and their truth values have been determined. The first expression is false, the second expression is true, and the third expression is false.
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Use the Law of Sines to solve for the missing side for the oblique triangle. Round your answer to the nearest hundredth. Assume that angle A is opposite side a, angle B is opposite side b, and angle C is opposite side c.
11. Find side b when A = 37°, B = 49°,c=5. 12. Find side a when A = 132", C = 23, b = 10.
By using Law of Sines, the side b and a when A = 37°, B = 49°,c=5, and A = 132", C = 23, b = 10 is b ≈ 4.09 and a ≈ 19.66 respectively.
To use the Law of Sines to solve for the missing side in an oblique triangle, we can use the following formula:
a/sin(A) = b/sin(B) = c/sin(C)
Let's solve each problem using the Law of Sines:
Find side b when A = 37°, B = 49°, c = 5.
We know angle A, angle B, and side c. We need to find side b.
b/sin(B) = c/sin(C)
b/sin(49°) = 5/sin(180° - 37° - 49°)
b/sin(49°) = 5/sin(94°)
Cross-multiplying:
b * sin(94°) = 5 * sin(49°)
b = (5 * sin(49°)) / sin(94°)
b ≈ 4.09
Therefore, side b ≈ 4.09 (rounded to the nearest hundredth).
Find side a when A = 132°, C = 23, b = 10.
We know angle A, angle C, and side b. We need to find side a.
a/sin(A) = b/sin(B)
a/sin(132°) = 10/sin(180° - 132° - 23°)
a/sin(132°) = 10/sin(25°)
Cross-multiplying:
a * sin(25°) = 10 * sin(132°)
a = (10 * sin(132°)) / sin(25°)
a ≈ 19.66
Therefore, side a ≈ 19.66 (rounded to the nearest hundredth).
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(2x-3)^2=9 factorise
Answer:
3
Step-by-step explanation:
(2x-3)^2=9
(2x-3)^2=3^ 2
2x - 3 = 3
2x = 3 + 3
2x = 6
x = 6/2
x = 3
Answer:
\(x(4x-12)=0\)
Step-by-step explanation:
\((2x-3)^2=9\\(2x-3)(2x-3)=9\\4x^2-12x+9=9\\4x^2-12x=0\\x(4x-12)=0\)
Determine which property is demonstrated below;
Answer:
symmetric property
Step-by-step explanation:
The symmetric property is the one that tells you A=B means also B=A.
The obfuscating factor in this question is the renaming of angle SZW to angle WZS. Both names refer to the same angle.
\( {2}^{ - 3} \times {2}^{ - 5} \div {2}^{ - 4} \)
how do I solve this?
Answer:
4⁻⁸/2⁻⁴ = 2²
Step-by-step explanation:
2 x 2 = 4 so that would be the base, then we have to add the two first powers... which would give us 4⁻⁸ divided by 2⁻⁴
After this we just have to divide the numbers, so 4 divided by 2 is 2, and then -8 +- -4 = 2
I think its like that
Jerry started doing sit-ups every day. The first day he did 19 sit-ups. Every day after that he did 4 more sit-
ups than he had done the previous day. Today Jerry did 81 sit-ups. Write an equation that could be solved
to find the number of days Jerry has been doing sit-ups, not counting the first day. Let n represent the
number of days.
An equation that can help Jerry to find the number of days he has been dolng sit-ups is given by
Answer:
81 - 19 = 62 ÷ 4 = 15.5 days (?)
A rectangular flag i 40 centimeter by 72 centimeter. What are the dimenion of a cale drawing of the flag uing the cale 1:8?
320 cm by 576 cm
5 cm by 9 cm
4 cm by 7. 2 cm
1. 8 cm by 11. 11 cm
The dimensions of a scale drawing of a rectangular flag that is 40 centimeters by 72 centimeters using the scale 1:8 is 4 cm by 7.2 cm. Option C.
This is because a 1:8 scale means that for every actual unit of length, the corresponding length on the scale drawing is 8 times smaller.
Therefore, in order to find the dimensions of the scaled drawing of the flag, we must divide the actual dimensions (40 cm by 72 cm) by 8. The result is 4 cm by 7.2 cm.
It is important to make sure that you use the correct scale when attempting to determine the dimensions of a scaled drawing. If you use a different scale than the one intended, your result will be incorrect.
For example, if you use a 1:4 scale instead of a 1:8 scale, you will end up with a scaled drawing that has dimensions of 20 cm by 36 cm, which is double the correct answer.
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What is 20% of 75 mathematics
Answer: 15
Step-by-step explanation:
Answer:
9H879UIU789U78HT5H7YUIY6IKT5HY78UYJ
Step-by-step explanation:
The temperature fell 16 degrees between noon and 3 pm. at 3 pm the temperature was -3 degrees. write and solve an equation to determine the temperature at noon.
Answer:
13 degrees or, x-16=-3
Step-by-step explanation:
(x is a variable that is unknown)
x-16=-3
x=13 degrees
The diagnols of a rhombus are 21 and 16 centimeters long find the area of the rhombus
Answer:
168 cm²
Step-by-step explanation:
The area of a quadrilateral with diagonals that intersect at right angles is half the product of the lengths of the diagonals. A rhombus is one such quadrilateral, so the area of this one is ...
A = 1/2(d1)(d2)
A = (1/2)(21 cm)(16 cm) = 168 cm²
The area of the rhombus is 168 cm².
Solve for x. 3(x−4)/2=9 Enter your answer in the box. x =
Answer:
x = 10
Explanation:
Answer:
x=5
Step-by-step explanation:
3(x-4)/2=9
Distribute 3
3x-12/2=9
3x-6=9
add 6 to both sides
3x=15
divide both sides by 3
x=5
11. (a) If D, M and S are the numbers of sexagesimal degrees, minutes and seconds of a angle then show that 3600D = 60M = S
Both M and S in sexagesimal notation = 3600D.
Here converting 'D' into minutes.
We know that a degree is made up of 60 minutes.
so multiply D with 60 we get
⇒ D x 60 = M
Now convert 'M' into seconds.
Again, there are 60 seconds in a minute,
so multiply M with 60 we get,
⇒ M x 60 = S
Simplify this equation by substituting D x 60 for M,
⇒D x 60 x 60 = S
Simplifying further, we get,
⇒ 3600D = S
Hence, 3600D is equal to both M and S in sexagesimal notation.
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Determine whether the series converges or diverges. (n+4)! a) 4!n!4" b) 1 \n(n+1)(n+2) =
We have to determine whether the given series converges or diverges. The given series is as follows: `(n+4)! / 4!(n!)` Let's use the ratio test to find out if this series converges or diverges.
The Ratio Test: It is one of the tests that can be used to determine whether a series is convergent or divergent. It compares each term in the series to the term before it. We can use the ratio test to determine the convergence or divergence of series that have positive terms only. Here, a series `Σan` is convergent if and only if the limit of the ratio test is less than one, and it is divergent if and only if the limit of the ratio test is greater than one or infinity. The ratio test is inconclusive if the limit is equal to one. The limit of the ratio test is `lim n→∞ |(an+1)/(an)|` Let's apply the Ratio test to the given series.
`lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `lim n→∞ [(n+5)/4] * [1/(n+1)]` `lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `lim n→∞ (n^2 + 9n + 20) / (4n^2 + 20n + 16)`
As we can see, the limit exists and is equal to 1/4. We can say that the given series converges. The series converges. To determine the convergence of the given series, we use the ratio test. The ratio test is a convergence test for infinite series. It works by computing the limit of the ratio of consecutive terms of a series. A series converges if the limit of this ratio is less than one, and it diverges if the limit is greater than one or does not exist. In the given series `(n+4)! / 4!(n!)`, the ratio test can be applied. Using the ratio test, we get: `
lim n→∞ |(an+1)/(an)| = lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `= lim n→∞ [(n+5)/4] * [1/(n+1)]` `= lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `= 1/4`
Since the limit of the ratio test is less than one, the given series converges.
The series converges to some finite value, which means that it has a sum that can be calculated. Therefore, the answer is a).
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I will give brainiest
Answer:
Step-by-step explanation:
PLEASEE HELPP WILL MARK BRAINLIEST!!!
Find value of x and measure of <) E.
22x+6
9x+11x
Answer:
x=5
Step-by-step explanation:
The slope and y-intercept of a line that goes though (0,4) and (-5,5)
Answer:
slope= -1/5 y intercept 3
Step-by-step explanation:
(0,4) and (-5,5) can be rewriten as 5-4/-5-0, which equals -1/5. Then, you plug the numbers into the equation y= mx+b to get -4=-1/5(5)+b. That gets 3.
I went shopping and bought a shirt for $15.60, a skirt for $28.80, and some leggings for $4.50. Tax is 6%. What was the total cost of my purchase?
6q+4-q+5 please answer quickly ik this question may seem easy but I’m not that smart hah
Answer:
5q + 9
Step-by-step explanation:
The Concept in that Question is adding Like-Terms
6q + 4 - q + 5 = ( 6q - q ) + ( 4 + 5 ) = 5q + 9
1. What are the 3 conditions for a function to be continuous at xa? 2. the below. Discuss the continuity of function defined by graph 3. Does the functionf(x) = { ***
The three conditions for a function to be continuous at a point x=a are:
a) The function is defined at x=a.
b) The limit of the function as x approaches a exists.
c) The limit of the function as x approaches a is equal to the value of the function at x=a.
The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.
The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.
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Dado f(x)=14(5−x)2 cual es el valor de F(11)?
pls help if you can asap!!!!
Answer: x= 6
Step-by-step explanation:
Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.
You can see they do not look the same so they add up to equal 180
12x + 3 +105 = 180
12x + 108 = 180
12x = 72
x = 6
If miss Willson walked 3/4 miles each day how many did she walk in 4 days?
Answer:
3 miles
Step-by-step explanation:
sorry I can't explain
These are the two types of 'kadai' that a certain shop has. 1. Surya Steel Rs 235
2. Trish Non-stick Rs 372 Shalini visits this shop and buys the steel kadai. However, she changes her mind the next day and comes to take the non-stick one instead. She pays for the excess amount with a 500 rupee note. What amount should be returned to her?
Given: Surya Steel kadai costs Rs 235Trish Non-stick kadai costs Rs 372Shalini visits this shop and buys the steel kadai. She changes her mind the next day and comes to take the non-stick one instead. She pays for the excess amount with a 500 rupee note. The amount that should be returned to her is Rs. 363.
The amount of Trish Non-stick kadai =Rs.372.00The amount of Surya Steel kadai=Rs.235.00 Amount paid by Shalini for Trish Non-stick kadai=Rs.372.00 . Amount paid by Shalini initially=Rs.235.00 . Amount she should get back= 500 - (372 - 235) = 500 - 137= Rs. 363. Hence, the amount that should be returned to her is Rs. 363.
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The U.S. Senate has 100 members. For a bill to pass with a supermajority, at least twice as many senators must vote in favor of the bill as vote against it. If each of the 100 senators votes either in favor of or against a bill, how many must vote in favor for it to pass with a supermajority
At least 67 senators must vote in favor for a bill to pass with a supermajority.
How is the minimum number of senators needed to pass a bill with a supermajority?A supermajority is a voting requirement that surpasses a simple majority and sets a higher threshold for passing certain decisions. In the case of the U.S. Senate, which consists of 100 members, a bill must garner the support of at least twice as many senators voting in favor as those voting against in order to pass with a supermajority. Therefore, to achieve a supermajority, a minimum of 67 senators must vote in favor of the bill.
The purpose of a supermajority requirement is to ensure that significant decisions have substantial support and broad consensus among legislators. By raising the threshold, it becomes more challenging for a small minority to block the passage of a bill, making it more likely that measures with broad support can be enacted into law.
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Given that f(x) = x^2? + 9x + 18 and g(x) = x + 3, find (f ÷ g) (x) and express the result in standard form.
Answer:
x + 6
Step-by-step explanation:
(f ÷ g)(x)
= \(\frac{x^2+9x+18}{x+3}\) factorise the numerator
= \(\frac{(x+3)(x+6)}{x+3}\) ← cancel the factor (x + 3) on numerator/ denominator
= x + 6
Hannah needs to calculate the cotangent of an angle. She uses the ratio
opposite leg
for her calculation. Did Hannah correctly calculate the cotangent of the angle?
adjacent leg
A
B.
Yes, Hannah correctly calculated the cotangent of the angle.
adjacent leg
No, Hannah should have used the ratio
opposite leg
hypotenuse
No, Hannah should have used the ratio
opposite leg
O c.
D.
No, Hannah should have used the ratio
adjacent leg
hypotenuse
Answer:
B. No, Hannah should have used the ratio \( \frac{adjacent}{opposite} \)
Step-by-step explanation:
✍️The formula for calculating cotangent of an angle is given as:
\( cot = \frac{adjacent}{opposite} \).
The ratio, \( \frac{opposite}{adjacent} \), used by Hannah is the formula for calculating tangent of an angle.
Therefore, Hannah did not calculate the cotangent of the angle correctly.
She should have used, the ratio, \( \frac{adjacent}{opposite} \) instead.
determine whether the set of all linear combinations of the following set of vectors in r3 is a line or a plane or all of r3. justify, your answer.
The set of all linear combinations of the given set of vectors forms a line, a plane, or all of ℝ³.
To determine whether the set of all linear combinations of a given set of vectors in ℝ³ forms a line, a plane, or all of ℝ³, we need to examine the span of the vectors.
Let's denote the set of vectors as S = {v₁, v₂, v₃}.
If the span of S is a line, it means that all linear combinations of the vectors lie on a single line in ℝ³. Mathematically, this implies that the vectors v₁, v₂, and v₃ are linearly dependent, and we can express one of them as a linear combination of the other two.
If the span of S is a plane, it means that all linear combinations of the vectors lie on a two-dimensional plane in ℝ³. In this case, the vectors v₁, v₂, and v₃ are linearly independent.
If the span of S is all of ℝ³, it means that any vector in ℝ³ can be expressed as a linear combination of v₁, v₂, and v₃. In other words, the vectors span the entire three-dimensional space.
To determine which case applies, we need to check the linear dependence or independence of the vectors v₁, v₂, and v₃. If they are linearly dependent, the span will be a line; if they are linearly independent, the span will be a plane; and if they span all of ℝ³, the span will be all of ℝ³.
So, let's examine the linear dependence or independence of the vectors.
If we have a set of vectors {v₁, v₂, v₃} in ℝ³, we can create a matrix A with these vectors as columns:
A = [v₁ v₂ v₃]
We can then perform Gaussian elimination or use other techniques to determine the linear dependence or independence of the columns of A. If any of the columns can be expressed as a linear combination of the others, the vectors are linearly dependent; otherwise, they are linearly independent.
If the vectors are linearly dependent, the span will be a line. If they are linearly independent, we proceed to check if they span all of ℝ³. To do this, we check if the matrix A is full rank, i.e., if its columns are linearly independent. If the matrix A is full rank, the span will be all of ℝ³; otherwise, the span will be a plane.
So, by performing the necessary calculations, you can determine whether the set of all linear combinations of the given set of vectors forms a line, a plane, or all of ℝ³.
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How is field data aggregated? Number of failed parts Number of failures Hours of operation Maintenance time Mark for follow up Question 3 of \( 7 . \) Data collection extends over a large number of it
Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,
such as a day or a week. Number of Failed Parts: The number of parts that have failed over a given period of time, such as a day or a week. Hours of Operation: The amount of time that a machine or system was operational during a given period of time, such as a day or a week. Maintenance Time: The amount of time that was spent maintaining a machine or system during a given period of time, such as a day or a week.
Mark for Follow-Up: An indication of which issues need to be addressed or followed up on to prevent future failures or improve performance. Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,
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suppose a bottle filling operation has a process mean of 36.2 ounces, process standard deviation of 0.3 ounces, an upper tolerance limit of 37 ounces, and a lower tolerance limit of 35 ounces. what is the process capability of this bottle filling operation?
The process capability index (Cp) for this bottle filling operation is approximately 1.11.
To calculate the process capability of the bottle filling operation, we can use the process capability index, also known as Cp.
Cp is calculated by dividing the tolerance width by six times the process standard deviation.
The tolerance width is the difference between the upper and lower tolerance limits, which in this case is 37 - 35 = 2 ounces.
The process standard deviation is given as 0.3 ounces.
Therefore, the process capability index (Cp) can be calculated as:
Cp = (Upper tolerance limit - Lower tolerance limit) / (6 * Process standard deviation)
= 2 / (6 * 0.3)
≈ 2 / 1.8
≈ 1.11
A Cp value greater than 1 indicates that the process is capable of meeting the specified tolerance limits. In this case, the bottle filling operation is slightly capable of meeting the tolerance limits, as the Cp value is just above 1. However, it's important to note that other process capability indices such as Cpk should also be considered to assess the process capability more comprehensively, especially if there are potential issues with process centering or variation.
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Applying the Angle of Intersecting Tangents Theorem, the measure of angle PQR is: 49°.
How to Apply the Angle of Intersecting Tangents Theorem?If two tangents of a circle meet at a point outside the circle, then the angle between them is equal to half the difference between the measures of the two arcs intercepted by the tangents, according to the Angle of Intersecting Tangents Theorem.
Based on the above theorem:
m<PQR = 1/2(m(PQR) - m(PR))
m(PQR) = 360 - 131 = 229°
m(PR) = 131°
Substitute:
m<PQR = 1/2(229 - 131)
m<PQR = 49°
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