Help needed and explained too!!

Answer:

x = 180 - (37 + 53)

Step-by-step explanation:

Answer:

37 + 53 + x = 180

x = 180 - (37 + 53)

Answer:

E

Step-by-step explanation:

the circle eqnation is (x-h)^2 + (y-k)^2 = r^2

negative value with the subtraction sign makes it positive in the given equation

Answer;

11

Step-by-step explanation:

2 X (3-1)

2 X 2= 4

44 divided by 4= 11

Answer:

Step-by-step explanation:

1B

There were 1542 yes votes

Parameters:

Total votes = 2570

Ratio of yes votes to no votes = 3:2

Sum of ratios = 3 + 2 = 5

The given statement means if 2570 was divided into 5, yes votes take 3 part of the votes, and no votes take the remaining 2.

So

Yes Votes = (3/5)*2570

= 1542

No Votes = (2/5)*2570

= 1028

Answer:

1. - A; 2. - A.

Step-by-step explanation:

'1' = '1' = 8 / √2 = 4√2.

Answer:

7

Step-by-step explanation:

If you use your mouse or something to cover two of the squares at a time and then make tally marks then you should get 7. I'm not sure if i'm right though, so don't take my answer as the law or something like that.

Answer:

1/5

Step-by-step explanation:

F=200/1000 = 2/10 = 1/5 Pretty simple just convert to the same unit if it doesn't make sense watch videos about the topic of unit conversion :D

1. \(\( -(A \cap B)^\prime = A^\prime \cup B^\prime \)\) is proven using De Morgan's law.

2. \(\( -A \cap (B \cup C) = (A \cap B) \cup (A \cap C) \)\)is proven by considering the elements in the sets. 3.\(\( -A - (B \cap C) = (A \cap B) - (A \cap C) \)\) is proven by considering the elements in the sets.

1. Proving \(\( -(A \cap B)^\prime = A^\prime \cup B^\prime \)\):

Let's start with the left-hand side: \(\( -(A \cap B)^\prime \).\)

Using De Morgan's law, we know that \(\( (A \cap B)^\prime = A^\prime \cup B^\prime \).\)

Taking the complement of this, we have \(\( -(A \cap B)^\prime = - (A^\prime \cup B^\prime) \).\)

Now, let's simplify the right-hand side: \(\( A^\prime \cup B^\prime \).\)

By definition,\(\( - (A^\prime \cup B^\prime) \)\) represents the complement of \(\( A^\prime \cup B^\prime \)\), which means all elements that are not in \(\( A^\prime \cup B^\prime \).\)

Let's consider an arbitrary element x  that is not in \(\( A^\prime \cup B^\prime \)\). This means that x is not in either \(\( A^\prime \) or \( B^\prime \)\). Since x is not in \(\( A^\prime \)\), it must be in  A  (because \(\( A^\prime \)\) is the complement of A ). Similarly, since x  is not in \(\( B^\prime \),\) it must be in B. Therefore, x is in \(\( A \cap B \).\)

Conversely, if  x  is in \(\( A \cap B \),\) then it is in both A and B. This means that  x is not in \(\( A^\prime \)\) (because \(\( A^\prime \)\) is the complement of A and not in \(\( B^\prime \)\) (because \(\( B^\prime \)\) is the complement of B ). Therefore,  x is not in \(\( A^\prime \cup B^\prime \).\)

Since all elements not in \(\( A^\prime \cup B^\prime \)\) are in \(\( A \cap B \)\) and vice versa, we can conclude that \(\( -(A \cap B)^\prime = A^\prime \cup B^\prime \).\)

2. Proving \(\( -A \cap (B \cup C) = (A \cap B) \cup (A \cap C) \)\):

Let's start with the left-hand side: \(\( -A \cap (B \cup C) \).\)

This represents the set of elements that are not in A \) but are in either B or C.

Now, let's simplify the right-hand side: \(\( (A \cap B) \cup (A \cap C) \).\)

This represents the set of elements that are in both  A  and  B , or in both A and C.

To show that \(\( -A \cap (B \cup C) = (A \cap B) \cup (A \cap C) \)\), we need to prove that these two sets are equal.

Let's consider an arbitrary element x that is in \(\( -A \cap (B \cup C) \).\) This means that x  is not in A, but it is in either B or C. In either case, x is in either A and B or A  and C . Therefore, x  is in \(\( (A \cap B) \cup (A \cap C) \)\).

Conversely, if \( x \) is in \(\( (A \cap B) \cup (A \cap C) \)\), then it is in both A and B , or in both A and C. This means that x is not in A, but it is in either \( B \) or \( C \). Therefore, \( x \) is in \(\( -A \cap (B \cup C) \).\)

Since all elements in \(\( -A \cap (B \cup C) \)\) are in \(\( (A \cap B) \cup (A \cap C) \),\) and vice versa, we can conclude that \(\( -A \cap (B \cup C) = (A \cap B) \cup (A \cap C) \).\)

3. Proving \(\( -A - (B \cap C) = (A \cap B) - (A \cap C) \)\):

To prove this statement, we need to show that the left-hand side is equal to the right-hand side.

Let's start with the left-hand side: \(\( -A - (B \cap C) \).\)

This represents the set of elements that are not in A and are also not in the intersection of B and C.

Now, let's simplify the right-hand side: \(\( (A \cap B) - (A \cap C) \).\)

This represents the set of elements that are in both \( A \) and \( B \), but not in both \( A \) and \( C \).

To show that \(\( -A - (B \cap C) = (A \cap B) - (A \cap C) \)\), we need to prove that these two sets are equal.

Let's consider an arbitrary element x that is in \(\( -A - (B \cap C) \)\). This means that x is not in A and is also not in the intersection of B  and C. Therefore, x  is in both A and B (because it's not excluded by A and not in both A and C (because it's not in the intersection of B and C.

Conversely, if x is in \(\( (A \cap B) - (A \cap C) \)\), then it is in both A and B , but not in both  A  and  C . Therefore, \( x \) is not in \( A \) and is also not in the intersection of  B  and C.

Since all elements in \(\( -A - (B \cap C) \)\) are in

\(\( (A \cap B) - (A \cap C) \)\), and vice versa, we can conclude that \(\( -A - (B \cap C) = (A \cap B) - (A \cap C) \)\).

Hence, the statement \(\( -A - (B \cap C) = (A \cap B) - (A \cap C) \)\) is proven.

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Beth's distance drops by 3 miles if Kristin's distance drops by 5 miles.

The variable that is altered or managed in a scientific experiment is known as an independent variable. It stands for the rationale or cause behind an outcome. The experimenter modifies the independent factors to test the dependent variable.

The dependent variable is impacted by the independent variable. For instance, your exam results are influenced by how much sleep you get (an independent variable) (dependent variable). This is understandable, but Eg. How much sleep you get depends on your test results.

a. Independent Variable = Kristin's distance (K)

Dependent Variable = Beth's distance (b)

c. b = k + 2

If Kristin's decreases by 5 miles, we represent new distance as (k - 5)

b = (k + 5) + 2

simplifying the above equation, we get

b = k - 3

Kristin and Beth are now equally separated from the park and the pork.

Beth's distance drops by 3 miles if Kristin's distance drops by 5 miles.

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The calculated value of the side length in the triangle is 144

From the question, we have the following parameters that can be used in our computation:

The simiar triangles

Using the theorem of corresponding sides, we hav

GH = 2JK

So, we have

10x - 36 = 2 * 4x

Multiply

So, we have

10x - 36 = 8x

Evaluate

2x = 36

So, we have

x = 18

This means that

GK = 4 * 18

GK = 144

Hence, the indicated side length in the triangle is 144

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If the perimeters are the same. Then the dimension of the triangle will be 5, 5, and 6.

The peripheral of a form is defined in mathematics as the entire length of its boundaries. The surrounding of a form is calculated by summing the lengths of all the vertices and edges that surround it. It is measured in linear quantities like cm, meters, inches, and feet.

Let 'x' be the isosceles sides and the 'y' be the third side. Then the equation is given as,

x + x + y = 4 × 4

2x + y = 16

2x + y = 2(5) + 6

Then the dimension of the triangle will be 5, 5, and 6.

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Answer:

y = -4

Explanation:

Given the equation:

Thus, the number is -4.

The future value of the loan is approximately $10,070.29.

To find the interest on the loan, we can use the formula:Interest = Principal × Rate × Time

Given:

Principal (P) = $6000

Rate (R) = 8% per year (0.08 as a decimal)

Time (T) = 6 months (0.5 years)

Plugging in the values into the formula:

Interest = $6000 × 0.08 × 0.5 = $240

Therefore, the interest on the loan is $240.

To find the future value of the loan, we can use the formula for simple interest:

Future Value = Principal + Interest

Given:

Principal (P) = $6000

Interest = $240

Plugging in the values into the formula:

Future Value = $6000 + $240 = $6240

Therefore, the future value of the loan is $6240.

For the second scenario:

Given:

Principal (P) = $9275

Rate (R) = 7.57% per year (0.0757 as a decimal)

Time (T) = 13 months (13/12 years)

To find the interest, we can use the same formula:

Interest = Principal × Rate × Time

Plugging in the values into the formula:

Interest = $9275 × 0.0757 × (13/12) = $795.29

Therefore, the interest on the loan is approximately $795.29.

To find the future value of the loan, we can use the same formula as before:

Future Value = Principal + Interest

Plugging in the values into the formula:

Future Value = $9275 + $795.29 = $10,070.29

Therefore, the future value of the loan is approximately $10,070.29.

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Answer:

the range is 13

Step-by-step explanation:

Range is the largest number subtreacted from the smallest. In this case, it will be, 79-66=13

Answer:

79 - 66 = 13

Range: 13

Answer: 17.28

Step-by-step explanation:

\(2.7 = 2.0 + 0.7\\ 6.4 = 6.0 + 0.4\)

Substituted

\(2.7 x 6.4 = (2.0 + 0.7) x (6.0 +0.4) 2.7 x 6.4 = 2.0(6.0) + 2(0.4) + 0.7(6) + 0.7(0.4) 2.7 x 6.4 = 12 + 0.8 + 4.2 + 0.28 2.7 x 6.4 = 17.28\)

the product of 2.7 x 6.4 using partial products is 17.28

The inequality of the statement At a farm stand, every basket of strawberries weighs more than 3/4 lb. is w > 3/4

From the question, we have:

Every basket weighs more than 3/4 lb

We can represent the weight of a basket of strawberries as the variable w.

Since the weight is always more than 3/4 lb, we can write the inequality:

w > 3/4

To graph this inequality, we can plot a dashed line at 3/4 on a number line

And shade the region to the right of the line to represent all values greater than 3/4.

The graph would look like the attached graph

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Answer: 13.5

Step-by-step explanation:

multiply 2 1/4 cups by 6

Answer:

C = 7.72 ~ 7.7

Step-by-step explanation:

So when you solve this equetion you must 1st find x then c

we can find x by using cos(60)

cos(60) = x/14

x = cos(60) × 14

x = 1/2 ×14

x = 7

so after we find x we are going to solve c by using cos (25)

cos (25) = X/C = 7/c

cos(25) × C = 7

C = 7/cos (25)

C = 7.72 ~ 7.7

so the solution is 7.7

Answer:

1 neither

2 supplementary

3 supplementary

Step-by-step explanation:

Answer:

2u-24

Step-by-step explanation:

Answer:2u-24

Step-by-step explanation:

There are a total of three terms in this expression.

Lets start by finding out the first two terms

-4(u+6)

-4*u= -4u

-4*6=-24

your first two terms are -4u and -24, which can be written as -4u-24.

The third term is 6u, and notice that 6u and -4u are like terms.

6u-4u=2u

And then we input -24 with 2u

2u-24

The probability of 2 people insists on sitting side by side is 2/7. In the next, the probability of 2 people insists on sitting side by side is 2/5

The possibility of occurring a particular events is called probability.

it is expressed in ratio of two data. The probability has no unit to measure.

Number of students =7, among them 2 are insists on sitting side by side

now probability to sit in such a way = 2/7

again, 2 students will never sit side by side so the number became 5.

probability to sit side by side = 2/5

hence, the result is 2/7 and 2/5

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Answer:one pencil would be $0.56

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(1165, 1235) (hours)

Step-by-step explanation:

The "middle 68%" of a set of normally distributed data is that data that lies within ONE standard deviation of the mean:

(1200 - 35, 1200 + 35), or

(1165, 1235) (hours)

This is an application of the Empirical Rule.

The interval of hours represents the lifespan of the middle 68% of light bulbs is (1165, 1235) (hours).

It is a measurement of statistical data dispersion. The degree to which the value varies is known as dispersion.

With a mean of 1200 hours and a standard variation of 35 hours, the length of time a certain brand of light bulb lasts is typically distributed.

The data that is within one standard deviation of the mean is referred to as the "middle 68 percent" of a collection of normally distributed data:

The interval of hours represents the lifespan of the middle 68% of light bulbs is found as;

(1200 - 35)=1165

( 1200 + 35)=1235

(1165, 1235) (hours)

Hence,the interval of hours represents the lifespan of the middle 68% of light bulbs is (1165, 1235) (hours).

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There are 13,992 integers between 1 and 1,000,000 with a sum of digits equal to 15.

To find the number of integers between 1 and 1,000,000 with a sum of digits equal to 15, we can use a combinatorial approach.

We need to distribute the sum of 15 among the digits of the number. We can think of this as placing 15 indistinguishable balls into 6 distinct boxes (corresponding to the digits).

Using the stars and bars method, the number of ways to distribute the sum of 15 among 6 boxes is given by the combination formula:

C(n + r - 1, r - 1)

where n is the sum (15) and r is the number of boxes (6).

Plugging in the values, we have:

C(15 + 6 - 1, 6 - 1) = C(20, 5)

Calculating this combination, we find:

C(20, 5) = 13,992

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The quadratic function with real coefficients and the given zeros of 5 and 4i is: f(x) = x^3 - 5x^2 + 16x - 80.

A quadratic function with real coefficients and the given zeros of 5 and 4i is:

f(x) = (x - 5)(x - 4i)(x + 4i)

Expanding this expression, we get:

f(x) = (x - 5)(x^2 - (4i)^2)

f(x) = (x - 5)(x^2 + 16)

f(x) = x^3 - 5x^2 + 16x - 80

Therefore, the quadratic function with real coefficients and the given zeros of 5 and 4i is:

f(x) = x^3 - 5x^2 + 16x - 80.
Hi! To write a quadratic function with real coefficients and the given zero 5 + 4i, you should also consider its complex conjugate, which is 5 - 4i. This is because complex roots of a quadratic equation with real coefficients always occur in conjugate pairs.

Let x = 5 + 4i and x = 5 - 4i be the zeros of the quadratic function. Using the factored form of a quadratic function, we can write it as:

f(x) = A(x - (5 + 4i))(x - (5 - 4i))

Now, expand the expression inside the parentheses:

f(x) = A((x - 5) - 4i)((x - 5) + 4i)

Multiply the two binomials using the difference of squares formula:

f(x) = A((x - 5)^2 - (4i)^2)

Simplify:

f(x) = A(x^2 - 10x + 25 + 16)

Combine the constant terms:

f(x) = A(x^2 - 10x + 41)

Since we want a quadratic function with real coefficients, A can be any real number. We can choose A = 1 to simplify the expression:

f(x) = x^2 - 10x + 41

So the quadratic function is f(x) = x^2 - 10x + 41.

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The rank of the 4 x 5 matrix is 2 whose null space is three-dimensional

Matrix is defined as a rectangular array of rows and columns.

Rank of a matrix is defined as the maximum number of linearly independent columns (or rows ) that the matrix has.

Rank–nullity theorem is defined as a theorem described in linear algebra, which says that the dimension of the domain of a map is the sum of its rank and its nullity.

The rank-nullity theorem states that for a matrix A,

rank(A)+nullity(A)= number of pivot columns of A

That implies (the number of pivot columns) - (the null space dimension) = rank

The rank-nullity theorem states that for any matrix A, the rank of A plus the dimension of the null space of A equals the number of columns of A. In other words:

rank(A) + dim(null(A)) = number of columns of A

In this case, we have a 4 x 5 matrix A with null space of dimension 3. Therefore, we can solve for the rank of A as follows:

rank(A) + dim(null(A)) = number of columns of A

rank(A) + 3 = 5

rank(A) = 2

So the rank of the 4 x 5 matrix is 2.

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The graphs of the functions f(x) = 3e^(2x) and g(x) = 6x^3 have parallel tangent lines when their derivatives are equal. By taking the derivatives of f(x) and g(x) and setting them equal to each other, we can solve for the value of x at which this occurs.

To find the derivative of f(x), we apply the chain rule. The derivative of e⁽²ˣ⁾is 2e⁽²ˣ⁾, and multiplying it by the constant 3 gives us the derivative of f(x) as 6e⁽²ˣ⁾. For g(x), the derivative is obtained by applying the power rule, resulting in g'(x) = 18x².

To find the value of x at which the tangent lines are parallel, we equate the derivatives: 6e⁽²ˣ⁾ = 18x². Simplifying this equation, we divide both sides by 6 to obtain e⁽²ˣ⁾ = 3x². Taking the natural logarithm (ln) of both sides, we have 2x = ln(3x²).

Further simplifying, we get 2x = ln(3) + 2ln(x). Rearranging the terms, we have 2ln(x) - 2x = ln(3). This equation does not have a straightforward algebraic solution, so we would typically use numerical or graphical methods to approximate the value of x.

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The value of sin(80°)cos(20°) – cos(80°)sin(20°) using the trignometry property is √3/2.

The difference formula in trignometry for the sine funciton is given as,

\(\sin(A-B)=\sin(A)\cos(B) -\cos(A)\sin(B)\)

The trignometric equation given in the problem is,

\(\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)\)

Compare this equation with the above eqution, we get,

\(A=80^o\\B=20^o\)

Thus, this equation can be written as,

\(\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)=\sin(80-20)\\\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)=\sin(60)\\\sin(80^o)\cos(20^o) -\cos(80^o)\sin(20^o)=\dfrac{\sqrt{3}}{2}\)

Hence, the value of sin(80°)cos(20°) – cos(80°)sin(20°) using the trignometry property is √3/2.

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Answer: \(y=-\frac{5}{4} x+5\)

Step-by-step explanation:

Please mark brainliest if this helped :)

Answer

the answer is y=2x-x