Complete the following statement: |-13| __ -(-13)​

Answer:

65

Step-by-step explanation:

<S = <t

x + 50 = 3x + 20

2x = 30, x = 15

. <t = <v

3x + 20 = 45 + 20 =  65

Answer:

b.  65 degrees.

Step-by-step explanation:

m < RST = m < STU (alternate angles), so

x + 50 = 3x + 20

50 - 20 = 3x - x

2x = 30

x = 15.

Now m < RVT = m < RST  ( opposite sides of a parallelogram are equal).

So m < RVT = x + 50 = 15 + 50 = 65.

The probability that the sum is not 4 and the sum is greater than 5 will be 11/12 and 13/18, respectively.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

When two six-sided dice are rolled, there are 36 possible outcomes.

A. The probability that the sum is not 4 is given as,

Non- Favorable event = 3 {(1, 3), (2, 2), (3, 1)}

Then the probability is given as,

P = 1 - 3 / 36

P = 33 / 36

P = 11/12

B. The sum is greater than 5. Then the non-favorable event is given as,

Non - favorable event = 10 {(1,1),(1,2),(1,3),(1,4),(2,1),(2,2), (2,3),(3,1),(3,2),(4,1)}

Then the probability is given as,

P = 1 - 10 / 36

P = 26 / 36

P = 13 / 18

The probability that the sum is not 4 and the sum is greater than 5 will be 11/12 and 13/18, respectively.

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Answer: she must sell 6 large photos and 6 small photos

Step-by-step explanation: and how I knew that is I multiplied 6 40 times and that gives you 240 and if you multiply 6 ten times that gives you 60 so 240 plus 60 is $300

Answer:

Factoring the expression \(xy^4+x^4y^4\) completely we get \(\mathbf{xy^4(x+1)(x^2-x+1)}\)

Step-by-step explanation:

We need to factor the expression \(xy^4+x^4y^4\) completely

We need to find common terms in the expression.

Looking at the expression, we get \(xy^4\) is common in both terms, so we can write:

\(xy^4+x^4y^4\\=xy^4(1+x^3)\)

So, taking out the common expression we get: \(xy^4(1+x^3)\)

Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:

\(a^3+b^3=(a+b)(a^2-ab+b^2)\)

So, we get:

\(xy^4(1+x^3)\\=xy^4(x^3+1)\\Applying\:the\:formula\;of\:a^3+b^3\\=xy^4(x+1)(x^2-x+1)\)

Therefor factoring the expression \(xy^4+x^4y^4\) completely we get \(\mathbf{xy^4(x+1)(x^2-x+1)}\)

Answer:

2 × 10 - 3 = 17

8 × 10 = 80

80 - 17

= 63

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

<95141404393>

The correct order of the given functions from lowest to the highest growth is: 0.5(0.3) < (n-2)! < 10 log (n+100) < 100(log²n + 3logn² + 0.0052√√n) < 3n+1 < n² < 1000 nlogn + 50 < (2²n) < In² n.

The given functions are listed below according to their order of growth from the lowest to the highest:

Therefore, the correct order of the given functions from lowest to the highest growth is:

0.5(0.3) < (n-2)! < 10 log (n+100) < 100(log²n + 3logn² + 0.0052√√n) < 3n+1 < n² < 1000 nlogn + 50 < (2²n) < In² n.

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Answer:

Option (4)

Step-by-step explanation:

Equation of a line passing through a point \((x_1,y_1)\) and with slope 'm' is,

y - y₁ = m(x - x₁)

Given → Slope 'm' = -2

Point through which the line is passing is (-1, -2)

x₁ = -1 and y₁ = -2

Therefore, equation will be,

y + 2 = -2(x + 1)

y = -2x - 2 - 2

y = -2x - 4

Option (4) is the correct option.

Answer:

-6

Step-by-step explanation:

Plug in -1/3for t

W(-1/3)=15(-1/3)-1=-5-1=-6

Answer:

-6

Step-by-step explanation:

substitute -1/3 into w(t) = 15t - 1

=>  w(-1/3) = 15(-1/3) - 1

=> w(-1/3) = -6

Answer:

Angle BCF= 107 degrees

Step-by-step explanation:

for this question, you need to use the alternate angle which means angle EDC is equal to angle CFA. All the angles in a triangle makeup up 180 degrees. so with angle CFA AND ABC we can minus it from 180 degrees to find angle BCF. So 180-41-32=107

Step-by-step explanation:

We need to factorise 3x

2

−12xy

Here we can take 3x common.

Thus we have 3x

2

−12xy=3x(x−4y)

Hence, factors are 3x,(x−4y).

Answer:

Place value allows us to take complicated addition subtraction, multiplication, and division problems and reduce them to simpler problems. We do this by breaking down problems according to their place value or tens hundreds, and thousands.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Place value allows us to take complicated addition, subtraction, multiplication, and division problems and reduce them to simpler problems. We do this by breaking down problems according to their place value, or tens, hundreds, and thousands.

Hope this helps!!!

Answer:

Your answer is D

Step-by-step explanation:

45 divided by 5 equals 9

Answer:

easy 45 dived by 9 is 5

Step-by-step explanation:

hope it helps

The value of the side b and c will be 58.57 units and 36.86 units, and angle ∠B will be 107°.

Let the triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c.

Then by the sine law, we have

\(\rm \dfrac{\sin\angle A}{a} = \dfrac{\sin\angle B}{b} = \dfrac{\sin\angle C}{c}\)

The sum of angles of triangle is 180°.

∠A + ∠B + ∠C = 180°

36° + ∠B + 37° = 180°

                  ∠B = 107°

Then the side b will be

sin 36° / 36 = sin 107° / b

                b = 58.57 units

Then the side c will be

sin 36° / 36 = sin 37° / c

                c = 36.86 units

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Daniel and Maria must babysit for 6 hours for their total fees to be the same.

To find the number of hours at which Daniel and Maria have the same total fee, we need to compare their fee structures and determine when their fees are equal.

Daniel charges a flat fee of $10 plus $6 per hour. So his total fee can be represented by the equation:

Total fee (Daniel) = $10 + $6 * Number of hours

Maria's total fee is given in the table. We can see that the total fee increases by $4 for every additional hour. So we can represent Maria's total fee by the equation:

Total fee (Maria) = $22 + $4 * Number of hours

To find the number of hours at which their fees are equal, we set the two equations equal to each other and solve for the number of hours:

$10 + $6 * Number of hours = $22 + $4 * Number of hours

Simplifying the equation, we get:

$6 * Number of hours - $4 * Number of hours = $22 - $10

$2 * Number of hours = $12

Dividing both sides by $2, we find:

Number of hours = $12 / $2

Number of hours = 6

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Answer:

268.25

Step-by-step explanation:

by using the fact that one year is 365.25 days, we can subtract our 365.25 by our 97 to get 268.25, written in the equation of 365.25-97=268.25

*edit, messed up how long a year was, corrected my issue, answer & equation.

Answer:

Step-by-step explanation:

How many did not rain is 268 because if you take away 97 from 365 ofcourse it will be 268 you’re welcome

It would be closest rounded to about 30.25/30.26. Would be better to know the radius rather than the circumference.

Dilation does not maintain congruence.

What is transformation?

In arithmetic, a transformation may be a operate f, typically with some geometrical underpinning, that maps a collection X to itself, i.e. f: X → X.

Main Body:

The options are:

a. dilation

b. rotation

c. reflection

d. translation

Congruent figures are the same shape and the same size.  The only choice that involves changing the size of a figure is letter a) dilation and as a result, creates two figures that are NOT congruent.  

The other three choices merely "move" a shape to a new location (i.e. rotated, translated, or reflected) and result in a congruent figure.

Hence ,dilation does not maintain congruence.

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Answer :

9 sides

Explanation:

Step 1

Since the interior angle is 140 degrees, the supplement of this is the exterior angle and equal to 40 degrees. Hence the number of sides is 360/40 = 9 sides.

Step 2

Method 2: Since the exterior angle is 140°

The sum of the interior angles = (2n - 4) × right angles.

So 140n =(2n - 4) ×right angles, or we can also say

140n =(2n - 4) × 90

140n = 180n - 360

40n = 360

Divide both sides of the equation by 40

n = 9 sides.

n = 9 sides.Hence the number of sides is 9 sides.

Answer:

n+8+6

Sum means = and and means + so n+8+6

Answer: 3.5

Step-by-step explanation:

Answer:

I don't really understand your question

Step-by-step explanation:

but if I were to guess 0.75 or 1.25

This, compute f30  = (832040, 1346269)t.

To solve the given problem in MATLAB

Define the matrix f.

f = [0 1; 1 1];

Find the eigenvalues and eigenvectors of matrix f.

[V, D] = eig(f);

Obtain the invertible matrix p and the diagonal matrix d.

p = V;

d = D;

Verify that pdp^(-1) equals f.

result = p * d * inv(p);

Compute f^10 and pd^10p^(-1).

f_10 = f^10;

result_10 = p * (d^10) * inv(p);

Compute ff, f2f, f3f, f4f, and f5f.

f_1 = f * f;

f_2 = f_1 * f;

f_3 = f_2 * f;

f_4 = f_3 * f;

f_5 = f_4 * f;

The pattern in the answers can be observed as follows:

ff = (1, 1)t

f2f = (1, 2)t

f3f = (2, 3)t

f4f = (3, 5)t

f5f = (5, 8)t

To compute f30, we can use the same pattern and repeatedly multiply f with itself. However, computing f^30 directly might result in large numbers and numerical errors. Instead, we can utilize the Fibonacci sequence properties.

Given that f = (f0, f1)t = (1, 1)t, we know that fnf = (fn, fn+1)t. So, to find f30, we can calculate f30f = (f30, f31)t. Since f30 is the 31st term in the Fibonacci sequence, we can conclude that f30 = fn+1 = 832040.

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For any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

To determine the values of h and okay for which the device of equations has no answer, we want to locate the situations underneath which the equations are inconsistent or parallel.

The given system of equations is:

Equation 1: x + 3y = h

Equation 2: -4x + ky = -9

For the gadget to haven't any answer, the lines represented with the aid of these equations should be parallel and in no way intersect. In different phrases, the slopes of the traces need to be equal, but the y-intercepts should be specific.

Let's first discover the slopes of the traces. The slope-intercept form of Equation 1 is y = (-1/3)x + (h/3), wherein the slope is -1/3. The slope-intercept shape of Equation 2 is y = (4/k)x - (9/k), wherein the slope is 4/k.

For the strains to be parallel, the slopes should be equal. Therefore, we have the condition: -1/3 = 4/k.

To locate the values of h and okay for which the gadget has no answer, we need to locate the values of h that satisfy the situation -1/3 = 4/k.

Solving this equation for ok, we've got:

-1/3 = 4/k

-1 = 12/k

k = -12

Substituting k = -12 returned into the equation -1/3 = 4/k, we've:

-1/3 = 4/(-12)

-1/3 = -1/3

Since the equation holds real for any value of h, there aren't any restrictions at the price of h.

Therefore, for any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

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The system of equations has no solution when k is equal to 12. The value of h can be any real number.

To determine the values of h and f for which the system has no solution, we need to analyze the coefficients of the variables and the constants in the equations.

The given system of equations is:

x + 3y = h

-4x + ky = -9

We can rewrite the second equation as:

-4x + ky = -9

Dividing both sides of the equation by -4, we get:

x - (k/4)y = 9/4

Comparing the coefficients of x and y in the two equations, we can see that the slopes of the lines represented by the equations are different when k is not equal to 12.

Therefore, for the system to have no solution, k must be equal to 12.

As for the value of h, it can be any real number since it does not affect the slopes of the lines.

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For said given exponent equation, the value of m is determined to be 6.

Regarding the given equation.

36 Superscript n - 12 Superscript 2 m, Baseline = 6.

This could be written as;

36∧(12 - m) = 6∧(2m)

Using the adding exponent rule.

36∧(12). 36∧(-m) = 6∧(2m)

Simplifying.

(6)∧(12x2). (6)∧(-2m) = 6∧(2m)

(6)∧(24). (6)∧(-2m) = 6∧(2m)

Thus,

As, for the equal base, equating those powers.

24 - 2m = 2m

4m = 24

m = 6

Accordingly, the value of m for the preceding exponent equation is found to be 6.

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Answer:

6

Step-by-step explanation:

.

The equivalent expression would now be given as \(4x^3y^4\). Option A

Regardless of the particular values given to the variables, equivalent expressions in mathematics have the same value. In other words, they stand for the same quantity or mathematical relationship.

We would now just apply the mathematical principle that we need by taking the cube root of all the terms that we have in the expression as shown.

We have the expression;

\(\sqrt[3]{} 64x^9y^{12}\)

This would now be;

\(4x^3y^4\)

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When ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.

We are given that ab = 0, where a and b are variables or numbers.

According to the zero-product property, if the product of two factors is equal to zero, then at least one of the factors must be zero.

In our case, we have ab = 0. This means that the product of a and b is equal to zero.

To satisfy the condition ab = 0, at least one of the factors (a or b) must be zero. If either a or b is zero, then when multiplied with the other factor, the product will be zero.

It is also possible for both a and b to be zero, as anything multiplied by zero gives zero.

Therefore, based on the zero-product property, we can infer that either a = 0 or b = 0 when ab = 0.

In summary, when ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.

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Answer:

Step 3 is wrong

Step-by-step explanation:

Only one three digits number 111 would satisfy this condition.

Let the three digits be x, y and z. Since the sum of the digits is equal to the product of the digits, we can write x + y + z = xyz

Simplifying the equation, we get x + y + z - xyz = 0

This is a quadratic equation in the form ax2 + bx + c = 0 where a = 1, b = 1 and c = -xyz

To solve this equation, we use the quadratic formula: x = [-b ± √(b2 - 4ac)]/2a

In this case, x = [-1 ± √(1 - (-4 * 1 * (-xyz))]/2

Since xyz must be a positive integer, the only solution is when the square root of 1 - (-4 * -xyz) is 0

This means xyz must be 1, so x + y + z = 1 + y + z = 3

Since x, y and z are all distinct digits, the only possible solution is when x = 1, y = 1 and z = 1, giving the solution 111.

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Answer:

It is best it you guess. What grade are you in

Step-by-step explanation:

Answer:

I think <BCH would also be 108 since its corresponding angles

and with <MNJ would also be 97 since its alternate exterior angles