What would you use to solve for a?
a
43
11
A
A. sine
B. cosine
C. tangent D. Pythagorean Theorem

Answer:

1 1/12

Step-by-step explanation:

You take 2 3/4 and subtract it by 1 2/3

Make them into improper fractions 11/4 - 5/3

you multiply 11/4 by 3 and 5/3 by 4 to get a common denominator

you get 33/12 - 20/12 and get 13/12

then make it a mixed number

hope this helps :)

At the 5% significance level, with 6 degrees of freedom, the critical value of t is ±2.447.

The regression relationship between the number line is used to estimate the relationship between the months on the job and the level of monthly sales. The coefficient of determination and correlation must be computed and interpreted. Then, using these coefficients, we can estimate the level of sales for salespeople who have been on the job for ten months. Finally, we can test whether job experience has a significant impact on sales using a 5% significance level.

The computations are as follows:

Using the regression relationship between the number line, we get:

y = 1.385x + 1.06

where y is the monthly sales, and x is the number of months on the job.

The coefficient of determination is:

R² = 0.769

The coefficient of correlation is:

r = 0.877

Therefore, there is a strong positive relationship between the months on the job and the level of monthly sales. This indicates that as the salespeople's experience on the job increases, the monthly sales also increase.

If the number of months on the job is 10, then the estimated level of sales is:

y = 1.385(10) + 1.06 = 15.4

Hence, the expected level of sales for salespeople with ten months of experience is 15.4.

The t-test of significance for the slope is computed as follows:

t = b/se(b)

where b is the slope and se(b) is its standard error.

The standard error is:

se(b) = 0.345

The t-value is:

t = 1.385/0.345 = 4.01

At the 5% significance level, with 6 degrees of freedom, the critical value of t is ±2.447.

Since the computed t-value (4.01) is greater than the critical value (±2.447), we can reject the null hypothesis and conclude that job experience significantly impacts the level of sales.

Thus, job experience has a significant impact on sales, and salespeople with experience are more likely to generate higher monthly sales. Additionally, the coefficient of determination indicates that the model explains 76.9% of the variability in monthly sales, while the coefficient of correlation indicates that there is a strong positive correlation between job experience and sales.

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Answer:

The percent discount is 17.3%.

To find g(x), the translation 1 unit left of f(x) = x², we need to replace x with (x+1) because moving left means we need to subtract 1 from x. Therefore, g(x) = f(x+1) = (x+1)².

To write g(x) in the form a(x-h)² + k, we need to expand (x+1)² first. Using the formula (a+b)² = a² + 2ab + b², we get:

g(x) = (x+1)² = x² + 2x + 1

Now we can write g(x) in the vertex form by completing the square. We add and subtract (2/2)² = 1 to the expression to get:

g(x) = x² + 2x + 1 - 1 + 1
    = (x+1)² + 0

Therefore, g(x) = (x+1)² + 0 is the vertex form of g(x), where a=1, h=-1, and k=0. This means that the vertex of the parabola g(x) is (-1,0), and it opens upwards. The translation 1 unit left of f(x)=x² results in a horizontal shift of the parabola to the left by 1 unit without changing its shape or orientation.

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The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.

To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.

A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.

In this case, a = 25, so b = (1/2)(70) = 35.

Expanding (ax + b)^2, we have:

(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2

= 25x^2 + 70x + 1225.

Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.

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The statement  of the given question is True.

True. This is because there are only 14 different types of socks to choose from, so if you choose 15 socks, there must be at least one pair of socks that match. This is known as the Pigeonhole Principle, which states that if there are more pigeons than pigeonholes, at least one pigeonhole must contain more than one pigeon. In this case, the socks are the pigeons and the different types of socks are the pigeonholes.

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Answer: A) Buddhism

Step-by-step explanation:

Answer:

Thee answer is A. Buddhism. Hope this helps!

Step-by-step explanation:

Answer:

225 miles

Step-by-step explanation:

We will need to first find the base unit that will allow us to easily find the actual distance. For example, if 2:10, the base unit is 1:5 which allows use to easily find any other value.

There are two easy ways to solve this, the first way is always definitive regardless of the numbers

1. we do 2/180 as a fraction, then cross multiply 180 by 2.5 and divide it by 2. We are given 225 miles

2. We simplify the ratio of 2:180 to 1:90. With this, we can manipulate the value of 1 and along with it the value of 90. So 1*2.5 = 2.5, and we also need to apply this to 90. So we would do 90*2.5 giving us 225 miles.

The value of x is expressed as x = -5 ± 12. 9

From the information given, we have the quadratic equation given as;

x² + 5x - 84 = 0

Given the quadratic general formula as;

ax + bx + c

We have the variables as;

a = 1

b = 5

c = -4

Then, using the formula, we get;

x = -b± √b²-4ac

Substitute the values

x = -(5) ± \(\sqrt{\frac{-(5) - 4(1)(-84)}{2(1)} }\)

Multiply the values, we get

x = -5± √331/2

Divide the values, we get;

x = -5 ± √165.5

Find the square root of the value

x = -5 ± 12. 9

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There are no restrictions on the value of h for which b is in the plane spanned by a1 and a2

To determine if vector b is in the plane spanned by vectors a1 and a2, we need to see if there exist scalars c1 and c2 such that b = c1a1 + c2a2.

Let's set up this equation and solve for h:

b = c1a1 + c2a2

⇔

left bracket Start 3 By 1 Matrix 1st Row 1st Column 4 2nd Row 1st Column 8 3rd Row 1st Column h End Matrix right bracket

c1 * left bracket Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column 4 3rd Row 1st Column −1 End Matrix right bracket

c2 * left bracket Start 3 By 1 Matrix 1st Row 1st Column −7 2nd Row 1st Column −24 3rd Row 1st Column 3 End Matrix right bracket

This gives us the system of equations:

c1 - 7c2 = 4

4c1 - 24c2 = 8

-c1 + 3c2 = h

We can solve this system using Gaussian elimination or another method to get:

c1 = -2h/5

c2 = -(3h + 20)/35

Now, we need to ensure that there exist values of c1 and c2 that satisfy these equations for any value of h. In other words, we need to make sure that the system of equations has a solution for any value of h.

One way to do this is to use the determinant of the coefficient matrix of the system. If the determinant is nonzero, then the system has a unique solution for any value of the constants on the right-hand side (in this case, the vector b).

The determinant of the coefficient matrix is:

left| Start 3 By 3 Matrix 1st Row 1st Column 1 2nd Column negative 7 3rd Column negative 1 2nd Row 1st Column 4 2nd Column negative 24 3rd Column 3 3rd Row 1st Column negative 1 2nd Column 3 3rd Column 0 End Matrix End| right| equals 100 \(\neq\) 0

Since the determinant is nonzero, there exists a unique solution for any value of b, and therefore a unique value of h that satisfies the system of equations.

Therefore, b is in the plane spanned by a1 and a2 for any value of h.

In other words, there are no restrictions on the value of h for which b is in the plane spanned by a1 and a2

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The linear function y = 48x represents the distance y, given x gallons.

The domain is an infinite positive values of x, that is x can be represented by all positive numbers. Hence the domain is continuous

We have

Using the associative, commutative, and distributive laws for sum and multiplication, we can see without computing that

A. 81*(59 +37) ----- same values

B. (81.*37) + 59 ------ incorrect

C. (81*37) + (81* 59) ---- same values

D. 81 + (37*59) ---- incorrect

E. (37 + 59)*81 ---- same values

Answer:

40

Step-by-step explanation:

2(5+3)/2(5)=40

Answer: 1.6

Step-by-step explanation: 2(8)/10

16/10

1.6

Answer:

tru

Step-by-step explanation:

Answer:

1,620 degrees.

Step-by-step explanation:

It has a steady pattern. 180 x 2 = 360, which is quadrilateral. 180 x 3 = 540, which is a pentagon. so, 180 x 9 = 1,620

B. No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

The Central Limit Theorem (CLT) is a fundamental concept in statistics that states that as the sample size increases, the sampling distribution of the sample means will approach a normal distribution. However, this is only true if certain conditions are met, one of which is having a large enough sample size.
The CLT states that the sampling distribution of x will be approximately normally distributed if the sample size is large enough (usually greater than 30). If the sample size is small, the sampling distribution may not be normally distributed. In such cases, other statistical techniques like the t-distribution should be used.
Furthermore, the CLT assumes that the population being sampled is not necessarily normally distributed, but it does require that the population has a finite variance. This means that even if the population is not normally distributed, the sampling distribution of x will still be approximately normal if the sample size is large enough.
In conclusion, the answer is B, as the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

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The four terms of the sequence are 13, 19, 25, and 31.

To derive the first four terms of an arithmetic sequence with a given explicit rule, we can use the function given for the sequence and substitute specific values for n. The formula for the sequence is f(n) = 13 + 6(n - 1).

To find the first term of the sequence, we substitute n = 1 into the equation to get f(1) = 13 + 6(1 - 1) = 13. This means that the first term of the sequence is 13. To find the second term of the sequence, we substitute n = 2 into the equation to get f(2) = 13 + 6(2 - 1) = 19.

This means that the second term of the sequence is 19. To find the third term of the sequence, we substitute n = 3 into the equation to get f(3) = 13 + 6(3 - 1) = 25.

This means that the third term of the sequence is 25. To find the fourth term of the sequence, we substitute n = 4 into the equation to get f(4) = 13 + 6(4 - 1) = 31. This means that the fourth term of the sequence is 31. Therefore, the four terms of the sequence are 13, 19, 25, and 31.

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Answer:

B,C,E your welcome

Step-by-step explanation:

Answer: b e and c hope this was useful

a) When the vehicle's speed was dropped to 30 mph, it moved 73 feet.

b) When the vehicle's speed was dropped to 15 mph, it moved 117 feet.

Kinematic equations are a collection of equations that describe how an item moves when its acceleration is constant. The deceleration rate is then determined using this using method, \(a=\frac{v^2-v_0^2}{2\Delta\cdot s}\) where v is the final speed, v₀ is the initial speed, and Δs is the traveled distance.

Given v₀= 66 ft/s (45 mph), Δs=132 feet, and v=0 ft/s. Then,

\(\begin{aligned}a&=\mathrm{\frac{(0-66^2)ft^2/s^2}{2\times132\;ft}}\\&=\mathrm{-16.5\;ft/s^2}\end{aligned}\)

a) The distance covered by the vehicle at a 30 mph (44 ft/s) reduction in speed is,

\(\begin{aligned}\Delta s&=\frac{v^2-v_0^2}{2\cdot a}\\&=\mathrm{\frac{(44^2-66^2)\;ft^2/s^2}{2\times-16.5\;ft/s^2}}\\&=\mathrm{73.333\;ft}\\&\approx\mathrm{73\;ft}\end{aligned}\)

b) The distance covered by the vehicle at a 15 mph reduction in speed is,

\(\begin{aligned}\Delta s&=\mathrm{\frac{(22^2-66^2)ft^2/s^2}{2\times-16.5\;ft/s^2}}\\&=\mathrm{117.33\;ft}\\&\approx\mathrm{117\;ft}\end{aligned}\)

The required answers are 73 feet and 117 feet.

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Answer: $3.55

Step-by-step explanation:

5 oranges * $2.84/4 oranges =

5 oranges * $0.71/1 orange=

5 oranges/1 orange * $0.71=

5/1 * 0.71=

5*0.71=$3.55

The descriptions that can describe more than one triangle are

This is further explained below.

Generally, An angle is a figure produced in Euclidean geometry by two rays, which are referred to as the sides of the angle, and which have a common endpoint, which is referred to as the vertex of the angle. The plane that includes two rays will always contain the angles that are generated by the beams. Another way that angles are created is when two planes cross with one another. These particular angles are referred to as dihedral angles.

In conclusion, Measurements of 40 degrees, 60 degrees, and 80 degrees in relation to one another may define more than one triangle.

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The predicted population for the year of 2020 is given as follows:

345,071.

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameters for this problem are given as follows:

a = 25400, b = 1.11.

Hence the population in t years after 1995 is given as follows:

\(P(t) = 25400(1.11)^t\)

2020 is 25 years after 1995, hence the population is given as follows:

\(P(25) = 25400(1.11)^{25}\)

P(25) = 345,071.

The complete problem is:

"In the year 1995, the population of a town in Texas was recorded as 25,400 people. Each year since 1995, the population has increased on average by 11% each year. Based on the function what is the population predicted to be in the year 2020?".

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There are three possible partitions on the set {1, 2, 3}: Partition 1: { {1}, {2}, {3} } This partition corresponds to the equivalence relation R1 from the previous problem. Partition 2: { {1, 2}, {3} } This partition corresponds to the equivalence relation R2 from the previous problem. Partition 3: { {1, 3}, {2} } This partition corresponds to the equivalence relation R3 from the previous problem.
A partition of a set is a collection of disjoint subsets of the set that together cover the entire set. In other words, each element of the set belongs to exactly one of the subsets. For the set {1, 2, 3}, there are five partitions:
- P1 = {{1}, {2}, {3}}
- P2 = {{1, 2}, {3}}
- P3 = {{1, 3}, {2}}
- P4 = {{2, 3}, {1}}
- P5 = {{1, 2, 3}}
Each of these partitions corresponds to a different equivalence relation on the set {1, 2, 3}.

For example, the partition P1 corresponds to the equivalence relation R1 = {(1, 1), (2, 2), (3, 3)}, which is the identity relation. The partition P2 corresponds to the equivalence relation R2 = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1)}, which relates 1 and 2 to each other but not to 3. The partition P3 corresponds to the equivalence relation R3 = {(1, 1), (2, 2), (3, 3), (1, 3), (3, 1)}, which relates 1 and 3 to each other but not to 2. The partition P4 corresponds to the equivalence relation R4 = {(1, 1), (2, 2), (3, 3), (2, 3), (3, 2)}, which relates 2 and 3 to each other but not to 1.

Finally, the partition P5 corresponds to the equivalence relation R5 = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1), (1, 3), (3, 1), (2, 3), (3, 2)}, which relates all of the elements to each other.

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Answer:

what the quistion?

Step-by-step explanation:

sry i cant spell

The probability that the first time a battery damage is observed is during the third trial or later is 42.74%.

To solve this problem, we can use the geometric distribution, which models the number of trials until the first success in a sequence of independent trials. In this case, the probability of success is 0.24 (the probability of a battery damage) and the probability of failure is 0.76 (the probability of a glass screen damage).

The probability of observing a battery damage for the first time on the third trial or later can be calculated as the complement of the probability of observing a battery damage on the first or second trial.

The probability of observing a battery damage on the first trial is 0.24, and the probability of observing a battery damage on the second trial is (0.76)(0.24) = 0.1824 (the probability of no battery damage on the first trial times the probability of battery damage on the second trial). Therefore, the probability of observing a battery damage for the first time on the third trial or later is 1 - 0.24 - 0.1824 = 0.5776.

However, the question asks for the probability of observing a battery damage for the first time on the third trial or later, which means we need to take into account the fact that we may have observed a battery damage before the third trial. Therefore, we need to adjust our calculation by subtracting the probability of observing a battery damage for the first time on the first or second trial from our previous result.

The probability of observing a battery damage for the first time on the first or second trial is 0.24 + 0.1824 = 0.4224. Therefore, the probability of observing a battery damage for the first time on the third trial or later is 0.5776 - 0.4224 = 0.1552 or 15.52%.

Therefore, the probability that the first time a battery damage is observed is during the third trial or later is 42.74%

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Answer:

5cm

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Answer:

  (d)  (4x² +7)(x -3)

Step-by-step explanation:

This polynomial can be factored by factoring pairs of terms.

  = (4x³ -12x²) +(7x -21)

  = 4x²(x -3) +7(x -3)

  = (4x² +7)(x -3)

__

Additional comment

The answer choices suggest we're not interested in irrational or complex factors. The quadratic (4x² +7) could be factored into linear terms involving irrational complex numbers. The form for "difference of squares" would be used for the purpose.

Answer:

The fraction is 3/10 = .3

The value of the arbitrary constant C is 0.854. What is the value of the arbitrary constant C, if h' (x) = sin^2 x, and h(1) = 1? (Hint: Use appropriate double angle formula to express sin^2 x differently) 0.622 0.854 None of the options 0.72 0.903

To find the value of the arbitrary constant C, we need to integrate h'(x) = sin^2 x. Using the appropriate double angle formula, sin^2 x can be expressed as (1-cos(2x))/2. So, we have:
h'(x) = (1-cos(2x))/2
Integrating both sides with respect to x, we get:
h(x) = (x/2) - (sin(2x)/4) + C
Now, we can use the given initial condition h(1) = 1 to find the value of C. Substituting x = 1 and h(1) = 1, we get:
1 = (1/2) - (sin(2)/4) + C
C = 1 - (1/2) + (sin(2)/4) = 0.854

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No , it is not possible to form a triangle with side lengths 3.5, 3.5, and 9 , because of the rule that sum of any two sides must be greater than other side. So, Option D is correct.

A triangle is a two-dimensional shape formed by three line segments connecting three points. In order to form a triangle, a necessary and sufficient condition is that the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the triangle inequality theorem.

If the sum of the lengths of any two sides is less than or equal to the length of the third side, then the three line segments will not be able to form a closed shape, and therefore cannot form a triangle.

In the case of the triangle with side lengths 3.5, 3.5, and 9, the sum of the lengths of the first two sides is 7, which is less than the length of the third side, 9. Hence, these three side lengths do not satisfy the triangle inequality theorem, and therefore cannot form a triangle.

In general, to determine the type of triangle that can be formed with three given side lengths, it is necessary to compare the lengths of the sides and check if any two sides are equal in length (isosceles), or if all three sides are equal in length (equilateral). If none of the sides are equal, then the triangle is called scalene.

In this case, since it is not possible to form a triangle with the given side lengths, it is not possible to determine the type of triangle that would be formed.

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A sequence is characterised as one that adheres to a predetermined pattern. The following term is created by increasing or decreasing the previous word by a certain amount.

On occasion, an expression is followed by every term in the series. The general formula for an AP is T n = a + (n - 1) d.

Understanding the underlying pattern or rule that creates the sequence is necessary for formulating the general term an of the sequence. Finding a formula for the overall term of a series can be done in a number of ways, including:

1) Finding a pattern: In some cases, a pattern can be found by examining the terms of the sequence and looking for a common ratio or difference. For instance, the formula for the general term can be written as a = a1 + (n - 1)d, where a1 is the first term and d is the common difference, assuming the terms of a sequence are rising by a constant amount.

2) Recurrence relations are used to characterise some sequences. These relations define the nth term in terms of the phrases that came before it. If the recurrence relation, for instance, is a = an-1 + an-2, then the general term's formula can be discovered by resolving the recurrence relation.

3) Making use of generating functions: Sequences can be represented mathematically using generating functions. A formula for the general term of a sequence can be discovered by fiddling with the generating function.

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