Find X
Reward if solved is 10 points ​

Answer: the answer is 21

Step-by-step explanation:

If one angle measures 170°, and another angle measures (6k + 44)° and both are vertical angles that means the second angle should be the same as the first angle.

Vertical angles are congruent meaning they have an equal measure.

Now we have to find k

(6k + 44) = 170

subtract 44 - 44 and 170 - 44

(6k) = 126

divide 6 by 6, that leaves with just k on the left.

126 divided by 6  equals to 21

k = 21

Hope this helps!

Answer:

No

Step-by-step explanation:

Unit rate consists of at least one 1. the unit rate for this would be 1 slice for $1.25

please mark brainliest

Answer: x=-1/4 and x=-1

Step-by-step explanation:

The answer choices you give are extremely hard to figure out, so I hope my explanations and answers help.

The quadratic formula is \(x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\). Once we figure out a, b, c, we can plug them into the formula and solve for x.

The standard form equation is ax²+bx+c=0. The equation given matches this so we know that:

a=4

b=5

c=1

Plug them into the formula. There is a \(\pm\) symbol, which stands for "plus or minus". This means we solve the formula with addition and subtractions separately. We should have 2 solutions at the end. Let's do them separately to show work.

Solution 1: addition

\(x_1=\frac{-5+\sqrt{5^2-4(4)(1)} }{2(4)}\)             [exponents]

\(x_1=\frac{-5+\sqrt{25-4(4)(1)} }{2(4)}\)             [multiply]

\(x_1=\frac{-5+\sqrt{25-16} }{8}\)                    [inside square root]

\(x_1=\frac{-5+\sqrt{9} }{8}\)                          [square root]

\(x_1=\frac{-5+3}{8}\)                            [add]

\(x_1=\frac{-2}{8}\)                                [divide top and bottom by 2]

\(x_1=-\frac{1}{4}\)

Solution 2: subtraction

\(x_2=\frac{-5-\sqrt{5^2-4(4)(1)} }{2(4)}\)             [exponents]

\(x_2=\frac{-5-\sqrt{25-4(4)(1)} }{2(4)}\)             [multiply]

\(x_2=\frac{-5-\sqrt{25-16} }{8}\)                    [inside square root]

\(x_2=\frac{-5-\sqrt{9} }{8}\)                          [square root]

\(x_2=\frac{-5-3}{8}\)                            [subtract]

\(x_2=\frac{-8}{8}\)                                [divide]

\(x_2=-1\)

I am not able to find the answer choices, but we know that x=-1/4 and x=-1.

The value of a(t) is -1 and b(t) is 55 + \(e^t\)

No, the given equation y' - y = 55 + \(e^t\) is not in the standard form of a first-order linear differential equation.

In the method for solving a first-order linear differential equation, an integrating factor is a function used to transform the equation into a form that can be easily solved.

For an equation in the standard form y' + a(t)y = b(t), the integrating factor is defined as:

μ(t) = e^∫a(t)dt

To solve the equation, you multiply both sides of the equation by the integrating factor μ(t) and then simplify. This multiplication helps to make the left side of the equation integrable and simplifies the process of finding the solution.

To put it in standard form, we need to rewrite it as y' + a(t)y = b(t).

Comparing the given equation with the standard form, we can identify:

a(t) = -1

b(t) = 55 + \(e^t\)

Therefore, The value of a(t) is -1 and b(t) is 55 + \(e^t\)

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Answer: 5, 10, 15, 20

Step-by-step explanation:

Domain is all possible values that can be used as inputs in a function.

The arcade machine accepts multiples of 5 game tokens. You have 20 tokens. As the machine accepts 5 game tokens, the minimum is 5. Since you have 20, the maximum is 20.

The multiples of 5 are:

5 x 1 = 5

5 x 2 = 10

5 x 3 = 15

5 x 4 = 20

Answer:

y = -x/2 + 2

what are those mutli choice answers?

if that point is (6,1)

y = -x/2 + 4

Step-by-step explanation:

the perpendicular line has a gradient which is the negative inverse, that is -1/m

so the equation will be of the form y = -x/2 + c

substituting in the point (6, -1)

-1 = -6/2 + c

c = 2

so y = -x/2 + 2

The proportions equal to the ratio 9 : 5 is given by the equation A = 18 : 10 , 27 : 15 and 36 : 20

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the equation will be

A = 9 : 5

Now , the proportion equivalent to the proportion A is given by

A = 9/5   be equation (1)

Multiplying the numerator and denominator by 2 , we get

A = 18/10

So , the value of A = 18 : 10

Now , Multiplying the numerator and denominator by 3 , we get

A = 27/15

So , the value of A = 27 : 15

Now , Multiplying the numerator and denominator by 4 , we get

A = 36/20

So , the value of A = 36 : 20

Hence , the proportion is 9 : 5

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Answer:

\( (5^3)^{-4} \).

Step-by-step explanation:

According to the power rule, exponents can be multiplied when we have a number base that has an exponents which is raised to another power.

The following illustrates how to apply the power rule where multiplication of exponents is to be done:

\( (x^a)^b = x^{a*b} = x^{ab} \), where, x is the base number, a and b are exponents respectively.

From the options given, the expression where the exponents are required to be multiplied is \( (5^3)^{-4} = 5^{3*-4} = 5^{-12} \).

Answer:

A: (5^3)^-4

Step-by-step explanation:

i did flvs

P(x) can be factored as (x - 0)(x - (5-i))(x - (5+i))(x - r₁)(x - r₂), where r₁ and r₂ are the roots of an irreducible quadratic factor.

To find r₁ and r₂, we can use the quadratic formula. Considering the quadratic factor as (x - r)(x - s), where r and s are the roots, we have:

r + s = - (3/2) (sum of roots from the coefficient of x³ term)

rs = -8 (constant term from the quadratic)

Solving these equations, we find that r₁ and r₂ are (-4 - i) and (-4 + i) respectively. Therefore, we can write the factored form of P(x) as:

P(x) = x⁵ - 8x² + 3x³ + 82x² - 78x = x(x - 0)(x - (5-i))(x - (5+i))(x - (-4 - i))(x - (-4 + i))

In summary, the polynomial P(x) can be factored as the product of linear and irreducible quadratic factors. The factored form is given by P(x) = x(x - 0)(x - (5-i))(x - (5+i))(x - (-4 - i))(x - (-4 + i)).

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A Type 1 error in the context of this study would occur if the chemical company concluded that the new fertilizer increases the size of tomatoes, when in fact it does not. The possible consequences of this error could be the company investing significant resources in promoting the new fertilizer based on inaccurate or incomplete data, which could result in wasted time and money.

The power of a statistical test is the probability of correctly rejecting the null hypothesis when it is false. In the context of this study, a power of 0.30 means that there is only a 30% chance of correctly detecting a difference of 0.2 pounds between the new fertilizer and the current fertilizer. This suggests that the study may not be sufficiently powered to detect a meaningful difference between the two fertilizers.

To carry out a significance test at a significance level of 0.05, we would use a one-sample t-test, since we have a sample mean and standard deviation. The null hypothesis would be that the mean weight of tomatoes grown with the new fertilizer is equal to the known mean weight of tomatoes grown with the current fertilizer (1.2 pounds), and the alternative hypothesis would be that the mean weight is greater than 1.2 pounds. With a sample size of 20 and a sample mean of 1.6 pounds, the calculated t-value would be 5.656, with a corresponding p-value of 0.00001.

The p-value of 0.00001 indicates that the probability of observing a sample mean of 1.6 pounds or greater, assuming that the mean weight of tomatoes grown with the new fertilizer is equal to the mean weight of tomatoes grown with the current fertilizer, is extremely small. This suggests that the null hypothesis can be rejected at a significance level of 0.05, and there is evidence to suggest that the new fertilizer does increase the size of tomatoes.

Learning that all of the plants were randomly chosen from an area that gave 50% more sunshine than the other plants used for comparison would invalidate the results of the study because it introduces a confounding variable that was not controlled for. In other words, the increased amount of sunshine could be responsible for the observed increase in tomato size, rather than the new fertilizer. This invalidates the assumption that the sample of tomatoes grown with the new fertilizer is comparable to the sample of tomatoes grown with the current fertilizer, and the results of the study would be unreliable.

A. y=4

B. y=10

C. y=7

D. y=1

Hope this helped!!

Answer:

1/2

2

-1/2

-2

Step-by-step explanation:

ECHA

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Slope:-

#2

Slope

#3

Slope:-

#4

Slope:-

The code is

Answer:

Mean = 6

Median = 6

Mode = 5 and 6

Step-by-step explanation:

Mean - Add all numbers together then subtract from how many numbers are there.

Median - Arrange your numbers in numerical order. Then count how many numbers you have. After that you pick the number in the middle.

Mode - This question has a two modes because there are two number that both appear the same amount of time.

The derivative of the function is

A) dw/dz=z^5 (7z-18)

B) dh/dx=192x^11+36x^5-6x^2+19

C) dy/dx=24x^2-38x-15

In mathematics, the derivative of a function measures the sensitivity to change of the function value with respect to a change in its argument. It is the rate of change of a function with respect to a variable.

A) w = z^7 – 3z^6 + 14

dw/dz=7z^6-18z^5

dw/dz=z^5 (7z-18)

B) h(x) = 16x^12 + 6x^6 – 2x^3 + 19x – 7

dh/dx=192x^11+36x^5-6x^2+19

C) y = (8x + 5)(x^2 – 3x)

dy/dx=  d/dx  [8x+5]*〖(x〗^2-3x)+(8x+5)*d/dx[x^2-3x]

dy/dx=(8*  d/dx  [x}+d/dx[5])*〖(x〗^2-3x)+(8x+5)*(d/dx[x^2]-3 d/dx[x])

dy/dx=(8*1+0)(x^2-3x)+(8x+5)(2x-3*1)

dy/dx=8(x^2-3x)+(2x-3)(8x+5)

dy/dx=24x^2-38x-15

Note: The question is incomplete. The complete question probably is: Find the derivative of the following function: A) w = z^7 – 3z^6 + 14 B) h(x) = 16x^12 + 6x^6 – 2x^3 + 19x – 7 C) y = (8x + 5)(x^2 – 3x).

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6 full teams will be made.

If you take 62 and divide it by 9, you'll get a value of 6.88... or it can also be notated as 6 remainder 8. You will be able to make 6 full teams but your last team will only have 8 members, which does not have the full 9 members.

Answer: moderate, C, B

Step-by-step explanation:

A)  A shows a moderate negative correlation.  It is moderate because the scattered points are sort of close to the line so it has moderate/medium correlation.  It is also negative because it has a negative slope

B) C shows the strongest correlation because the points around the line are tight and close.

C)  B should not have been drawn.  The  correlation is very weak.  You do know where the line should be because the points are all over the place.

Answer:

58

Step-by-step explanation:

Answer: 58°

Step-by-step explanation:

We know it's a right triangle, one of them must be 90°. The sum of the three interior angles are 180°, so we know the sum of the other two angles is 180 - 90 = 90°.

If one of the angles is 32°, another angle is 90 - 32 = 58°

Using Linear Approximation, the estimate of cos(62°) - cos(60°) is approximately 0.530153 - 0.5 = 0.030153 (rounded to six decimal places).

To use Linear Approximation to estimate cos(62°) - cos(60°), we'll follow these steps:

1. Choose a point near 62° where the cosine function is easier to compute, such as 60° (which is in radians, π/3).
2. Find the derivative of the cosine function: d/dx(cos(x)) = -sin(x).
3. Evaluate the derivative at the chosen point (60°): -sin(60°) = -sin(π/3) = -√3/2.
4. Use the linear approximation formula: Δy ≈ f'(x0)Δx, where Δy is the change in y (cosine values), f'(x0) is the derivative at the chosen point, and Δx is the change in x (angle).
5. Compute Δx: 62° - 60° = 2° (convert to radians: 2° * π/180 ≈ 0.0349 radians).
6. Plug the values into the linear approximation formula: Δy ≈ (-√3/2)(0.0349) ≈ -0.030153.
7. Now, subtract the linear approximation from the original cosine value at 60°: cos(60°) - Δy = cos(π/3) - (-0.030153) = 1/2 + 0.030153 ≈ 0.530153.

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Answer:

-18x4

Step-by-step explanation:

The proportional relationship between the price and quantity of ears of corn can be represented using a table or a graph, showing how the price and quantity vary in a consistent manner.

One way to represent the proportional relationship between the price and quantity of ears of corn is by using a table:

Price (in dollars) Quantity (in ears of corn)

             2             5

             4             10

This table shows the corresponding values of the price and quantity.

As we can observe, when the price is $2, the quantity is 5 ears of corn, and when the price is $4, the quantity is 10 ears of corn.

The relationship is proportional because as the price doubles, the quantity also doubles.

Another representation of this proportional relationship is through a graph.

We can plot the points (2, 5) and (4, 10) on a coordinate plane, where the x-axis represents the price and the y-axis represents the quantity.

By connecting these two points with a straight line, we can visualize the proportional relationship.

The line will pass through the origin (0, 0) since zero price corresponds to zero quantity.

The slope of the line will indicate the rate of change between price and quantity.

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Answer:

w=79

Step-by-step explanation:

Since these two angles are vertical angles, they are equivalent, so you can set it up like so:

152=w+73

Then subtract 73 from both sides:

152(-73)=w+73(-73)

79=w

79 is your answer

Hope this helps!

Answer:

79

Step-by-step explanation:

Both angles will be equivalent since it is a vertical angle...

\(152-73=79\)

There are a total of 32,501 kids who participate in the City Sports Program.

What is Set ?

In mathematics, a set is a collection of distinct objects, called elements, that are grouped together based on some common characteristic or property. Sets are denoted using braces { } and listing the elements inside the braces, separated by commas. For example, the set of even numbers less than 10 can be denoted as {2, 4, 6, 8}.

Sets can be finite, meaning they have a fixed number of elements, or infinite, meaning they have an infinite number of elements. Sets can also be empty, meaning they have no elements.

Two sets are considered equal if they have the same elements. For example, the sets {1, 2, 3} and {3, 2, 1} are equal, even though they list the elements in a different order.

Sets can be manipulated using set operations, such as union, intersection, and complement. The union of two sets A and B, denoted by A ∪ B, is the set that contains all the elements that are in A, in B, or in both. The intersection of two sets A and B, denoted by A ∩ B, is the set that contains all the elements that are in both A and B. The complement of a set A, denoted by A', is the set that contains all the elements that are not in A.

To solve this problem, we need to use the principle of inclusion-exclusion, which allows us to count the number of kids who participate in at least one of the sports.

Let A be the set of kids who sign up for basketball, B be the set of kids who sign up for softball, and C be the set of kids who sign up for swimming. Then we can use the following formula to count the number of kids who participate in at least one of the sports:

|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|

where |X| represents the number of elements in the set X.

Substituting the given values, we get:

|A ∪ B ∪ C| = 14046 + 16596 + 17354 - 7923 - 6790 - 10001 + 4119

Simplifying the equation gives:

|A ∪ B ∪ C| = 32501

Therefore, there are a total of 32,501 kids who participate in the City Sports Program.

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The first quartile Q1 is 84.44 which separates the bottom 25% from the top 75%.

We have to find the first quartile Q1, which separates the bottom 25% from the top 75%.We know that for a normal distribution, the z-score is given as

z = (x - μ)/σ

where x is the IQ score.

Let Q1 be the IQ score below which the bottom 25% lie.So, the area to the left of Q1 is 0.25.

Thus, the corresponding z-score is given as:

z = invNorm(0.25) = -0.6745

Now, substituting the given values in the above equation, we get:-0.6745 = (Q1 - 95.9)/16.4

Q1 = -0.6745(16.4) + 95.9

Q1 = 84.44

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Rotter Partners is planning a major investment, and to ensure that the investment is profitable, it is essential to understand the expected profit from the investment. The probability distribution of profits from similar investments indicates that the expected profit (mx) can be calculated as the weighted average of profits, where the weights are the probabilities associated with each profit level.

Based on the given probability distribution, the expected profit (mx) can be calculated as follows:

mx = (1 x 0.1) + (1.5 x 0.2) + (2 x 0.4) + (4 x 0.2) + (10 x 0.1)
mx = 0.1 + 0.3 + 0.8 + 0.8 + 1
mx = 2.7

Therefore, the expected profit from the investment is $2.7 million. This estimate is valuable to Rotter Partners as it can help them make informed decisions about the investment. If the expected profit is lower than the cost of the investment, then the investment may not be worthwhile. On the other hand, if the expected profit is higher than the cost of the investment, then the investment is likely to be profitable. In any case, the expected profit is a useful metric for assessing the potential success of the investment.

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1) In a normal distribution, we know that there

Answer:

The correct answer is: 2. t=0.45a

Step-by-step explanation:

Let t be the price of apples

and a be the number of apples

The price and quantity are directly proportional

\(t \propto a\)

Removing the proportionality symbol introduces a proportionality constant in the equation

\(t = ka\)

So far we know that cost of 6 apples is $2.70

Putting in the equation

\(2.70 = k (6)\\k = \frac{2.70}{6}\\k = 0.45\)

Putting the values of k will give us:

\(t = 0.45a\)

Hence,

The correct answer is: 2. t=0.45a

Answer:

Step-by-step explanation:

Properties of a circumcenter;

1). Circumcenter of a triangle is a point which is equidistant from all vertices.

2). Point where perpendicular bisectors of the sides of a triangle meet is called circumcenter of the triangle.

From the picture attached,

9). AG = GB = GC = 21

10). BC = 2(DC)

            = 2×16

            = 32

11). By applying Pythagoras Theorem in ΔGFB,

     GB² = GF² + FB²

     (21)² = GF² + (19)²

     441 = GF² + 361

     GF² = 441 - 361

     GF = \(\sqrt{80}\)

     GF = 8.9

12). By applying Pythagoras theorem in ΔGDB,

     GB² = DG² + BD²

     (21)² = (DG)² + (16)² [BD = DC = 16]

     DG² = 441 - 256

     DG = √185

     DG =  13.6

Answer:

34

Step-by-step explanation: if r is the midpoint then QR must be equale to RS

So the equation would be 5x-3=21-x

After solving this equation x=4

so you plug for instead of the x and for both QR and RS you get 17

so in order to dind QS you have to combine QR and RS

whuch means 17+17

and that equals to 34

Answer:

4000 Sq feet.

Step-by-step explanation:

Since the room needed is 20 times the number of attendees and 200 attendees are expected to come, it's just 20x200. Looking for keywords such as times really help!

Answer:y=-2x-9

Step-by-step explanation:

Slope intercept form is y=mx+b

4x+2y=-18

Subtract 4x from both sides:

2y=-4x-18

Divide the entire thing by 2:

y=-2x-9