6. A rectangle with a length of 15 feet has a
diagonal that measures 17 feet. Find the
perimeter of the rectangle.

Answer:

6.25

Step-by-step explanation:

divide the volume value by 8

Answer:

students that like big blue triangles

Answer:

x = -4

Step-by-step explanation:

1/6(6x−12)=−13−(x−3)

Distribute

x -2=−13−x+3

Combine like terms

x-2 = -x-10

Add x to each side

x-2+x = -x-10+x

2x-2 = -10

Add 2 to each side

2x-2 +2 = -10+2

2x = -8

Divide by 2

2x/2 = -8/2

x = -4

The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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Yes, any list of five real numbers can be considered a vector in the set of real numbers with dimension 5, denoted as ℝ5.

A vector is a mathematical object that represents a quantity with both magnitude and direction. In the case of ℝ5, this set includes all possible lists of five real numbers, which can be thought of as five-dimensional vectors. Each number in the list represents a component or coordinate of the vector, indicating how far it extends in each of the five dimensions.

Therefore, any list of five real numbers can be considered a vector in the set of real numbers with dimension 5, denoted as ℝ5.


In mathematics, a vector is an element of a vector space, which is a set of objects that can be added together and multiplied by scalars (real numbers). The set ℝ⁵ is a vector space consisting of all 5-tuples (lists) of real numbers, written as (a₁, a₂, a₃, a₄, a₅), where each element aᵢ is a real number. Any list of five real numbers forms a vector in ℝ⁵ because it satisfies the required conditions to be an element of the vector space.

A list of five real numbers is indeed a vector in the set of real numbers ℝ⁵, as it meets the necessary criteria to be a part of the vector space.

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Answer:

a lot

Step-by-step explanation:

Answer:

Option B is the best way to write the underlined parts of sentences 2 and 3.

Sentence 2: They have a special finish that helps.

Sentence 3: The finish helps the swimmer glide through the water.

Option B provides a clear and concise way to connect the two sentences and convey the idea that the special finish of the swimsuits helps the swimmer glide through the water. It avoids any ambiguity or redundancy in the language.

Answer:

\(x=6,\\m\angle 1=18^{\circ}\)

Step-by-step explanation:

Since the problem denotes the figure as a parallelogram, \(\overline{AB}\) is parallel to \(\overline{DC}\). Therefore, angles 1 and 2 are equal (from corresponding angles and vertical angles).

Therefore, we have the following equation:

\(m\angle 1=m\angle 2,\\x+12=6x-18,\\30=5x,\\x=\boxed{6}\)

Substituting \(x=6\):

\(m\angle 1=x+12=6+12=\boxed{18^{\circ}}\)

Answer:

(-4, 2).

Step-by-step explanation:

8x + 5y=-22

-3x - 5y = 2   Adding the 2 equations:

5x = -20

x = -4.

Substitute x = -4 in the first equation:

8(-4) + 5y = -22

5y = -22 + 32

5y = 10

y = 2.

Answer:

\(x=-4,\:\\y=2\)

Step-by-step explanation:

\(\begin{bmatrix}8x+5y=-22\\ -3x-5y=2\end{bmatrix}\\\mathrm{Multiply\:}8x+5y=-22\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:24x+15y=-66\\\mathrm{Multiply\:}-3x-5y=2\mathrm{\:by\:}8\:\mathrm{:}\:\quad \:-24x-40y=16\\\\\begin{bmatrix}24x+15y=-66\\ -24x-40y=16\end{bmatrix}\\\\-24x-40y=16\\+\\\underline{24x+15y=-66}\\-25y=-50\\\begin{bmatrix}24x+15y=-66\\ -25y=-50\end{bmatrix}\\-25y=-50\\\mathrm{Divide\:both\:sides\:by\:}-25\\\frac{-25y}{-25}=\frac{-50}{-25}\\y=2\\\)

\(\mathrm{For\:}24x+15y=-66\mathrm{\:plug\:in\:}y=2\\24x+15\times\:2=-66\\24x+30=-66\\24x+30-30=-66-30\\24x=-96\\\frac{24x}{24}=\frac{-96}{24}\\x=-4\\\\\\x=-4,\:y=2\)

Answer:

B

Step-by-step explanation:

Answer:

B is correct

Step-by-step explanation:

√5 ≈ 2,24

since it is - √5 the answer must be -2,24 so B is correct

Answer:

y = \(\frac{7}{2}\)x + 2

Step-by-step explanation:

m= 2-9/ 0-2 = \(\frac{-7}{-2}\) = \(\frac{7}{2}\)

y=mx+b              9 = \(\frac{7}{2}\) (2) + b

m= \(\frac{7}{2}\)                   9 = 7 + b

b = 2                 -7   -7  

                          2 = b

y = \(\frac{7}{2}\) x + 2

Identifying Eigenvalues and Eigenvectors, A should be a n x n matrix. By resolving the det(λI−A)=0 problem, first determine the eigenvalues of A. Find the fundamental solutions to (λI−A)X=0 to determine the fundamental eigenvectors X≠0 for each.

In linear algebra, a nonzero vector is said to have an eigenvector, or characteristic vector, when a linear transformation is applied to it; this characteristic vector only changes by a scalar amount. The scaling factor for the eigenvector is known as the associated eigenvalue, frequently represented by the symbol. Linear transformations are made intelligible by the usage of eigenvectors. Eigenvectors can be thought of as a non-directional stretching or compressing of an X-Y line chart. In mathematics, eigenvalues are regarded as the factor by which a transformation is stretched, whereas eigenvectors are the real non-zero eigenvalues that point in the direction stretched by the transformation. The direction of the transformation is negative if the eigenvalue is negative.

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Length of the golf club where Bruce plays = 7,040 yards

Solution:

1. Let's convert 7,040 yards to miles:

1 yard = 0.000568182 mile

Now, we can use Direct Rule of Three, as follows:

Yards Miles

1 0.000568182

7,040 x

2. Solve for x:

1 * x = 0.000568182 * 7,040

x = 4 miles

Answer:

360 miles

Step-by-step explanation:

The distance will be:

= 90 ÷ 1/4

= 90 × 4

= 360 miles.

Answer:

$374.55 - $94.95 = $279.60 = N

$34.95 x 8 = $279.60

N=8

Step-by-step explanation:

Yes, Since  a and b are independent event then therefore, a and b are mutually exclusive events.

             P(a) +P(b) = 0.5+0.5

therefore, P(a ∪b) = 1.0

Mutually exclusive events are events that do not occur at the same time. For example, when you toss a coin, the result is either heads or tails, but you cannot get both results. Such events are also called disjoint events because they do not occur at the same time. If A and B are mutually exclusive events, their probabilities are given by P(A or B) or P(A U B).

According to the question:

P(a) = 0.5 and P(b)=0.5

therefore,

    P(a) +P(b) = P(a ∪ b)

⇒ 0.5 +0.5 = 1.0

Therefor a and b are mutually exclusive events.

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The expression is equivalent to 2(a  -3) + 4a will be 6a - 6. Then the correct option is A.

The equivalent is the expression that is in different forms but is equal to the same value.

The expression is given below.

⇒ 2(a  -3) + 4a

Simplify the expression, then we have

⇒ 2(a  -3) + 4a

⇒ 2a - 6 + 4a

⇒ 6a - 6

The expression is equivalent to 2(a  -3) + 4a will be 6a - 6. Then the correct option is A.

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The missing options are given below.

A. 6a - 6

B. 6a - 1

C. a - 6

D. None of the above

If f: rn → rm is a linear map, then its derivative is simply the map itself. This is because a linear map is a function that preserves vector addition and scalar multiplication.

In other words, if we take two vectors in the domain and add them together, and then apply the linear map, it is the same as applying the linear map to each vector separately and then adding the results. Similarly, if we multiply a vector in the domain by a scalar and then apply the linear map, it is the same as multiplying the result of applying the linear map to the original vector by the same scalar.
Formally, we can express this idea using the concept of a Jacobian matrix. The Jacobian matrix of a function describes the rate at which the function changes near a particular point. For a linear map, the Jacobian matrix is simply the matrix that represents the map. This means that the derivative of f is the matrix A such that f(x) = Ax for all x in rn.
To see why this makes sense, consider the simplest case of a linear map from R1 to R1, given by f(x) = ax, where a is a constant. The derivative of this function is f'(x) = a, which is just the constant coefficient of the linear map. More generally, the derivative of a linear map f: rn → rm is the matrix A such that f(x) = Ax for all x in rn.

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The z-score with probability 0.225 to the right is 0.15 and the z-score with probability 0.900 to the left is -1.28. This can be calculated using the Z-score table for a standard normal distribution.

(a) Probability 0.225 to the right is equal to z-score 0.15.

This can be calculated using the Z-score table for a standard normal distribution.

The probability to the right of z-score is equal to the cumulative probability of the z-score.

The cumulative probability of 0.15 is 0.225, which is the probability to the right.

(b) Probability 0.900 to the left is equal to z-score -1.28.

This can be calculated using the Z-score table for a standard normal distribution.

The probability to the left of z-score is equal to the cumulative probability of the z-score.

The cumulative probability of -1.28 is 0.900, which is the probability to the left.

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Step-by-step explanation:

the picture shows the answer step by step. make sure to ask if you need any further guidance.

Answer:

-2

Step-by-step explanation:

\( {8}^{x + 2} = {32}^{2x + 4} \)

You need to write this in exponential form with the base of 2:

\( {2}^{3x + 6} = {2}^{10x + 20} \)

Then you need to set the exponent s equal:

\(3x + 6 = 10x + 20\)

Now we just need to solve it. :)

\(3x - 10x = 20 - 6\)

\( - 7x = 14\)

\(x = - 2\)

That's it. :)

The formula for the exponential function passing through the points (-3, 3/25) and (1, 15) is:
f(x) = 15 * 5^x

To find a formula for the exponential function passing through the points (-3, 3/25) and (1, 15), we can start by using the general form of an exponential function, which is f(x) = ab^x, where a is the initial value and b is the growth factor. Using the two given points, we can form two equations:

3/25 = ab^(-3)
15 = ab

We can solve for a and b by first dividing the second equation by the first equation:

15 / (3/25) = ab / (ab^(-3))

Simplifying, we get:

125 = b^3

Taking the cube root of both sides, we get:

b = 5

Substituting this value into one of the original equations, we can solve for a:

3/25 = a(5)^(-3)
a = 3/25 * 125 = 15

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The distance bewteen the points (-3,5) and (3,1) in a simple radical form is 2√13.

The distance formula used in finding the distance between two points is expressed as;

d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

From the graph;

Point A: (-3,5)

x₁ = -3

y₁ = 5

Point B: (3,1)

x₂ = 3

y₂ = 1

Plug the given values into the distance formula and simplify.

\(d = \sqrt{( x_2 - x_1)^2 + (y_2 -y_1 )^2} \\\\d = \sqrt{( 3-(-3))^2 + (1 -5)^2} \\\\d = \sqrt{( 3+ 3)^2 + (1 -5)^2} \\\\d = \sqrt{( 6)^2 + (-4)^2} \\\\d = \sqrt{36 + 16} \\\\d = \sqrt{52}\\\\d = 2\sqrt{13}\)

Therefore, the distance between the points is 2√13.

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Answer:

- 65

Step-by-step explanation:

x + 140 + 105 = 180

x + 245 = 180

x = 180- 245 = - 65

The size of angle x is 25°.

A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.

As per the given data:

The two external angles are given in the diagram.

Assume angles as ∠1, ∠2 and ∠x in anti-clockwise order.

For finding the angles of the triangle:

∠1 + 105° = 180° {linear pair angles}

∠1 = 75°

∠2 + 140° = 180° {linear pair angles}

∠2 = 80°

Using angle-sum property of a triangle:

∠1 + ∠2 + ∠x = 180°

75° + 80° + ∠x = 180°

∠x = 25°

Hence, the size of angle x is 25°.

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(The given question is incomplete, the complete question is given below)

By side side side congruence theorem if any two triangles have three pairs of congruent sides, then the triangles are congruent.

We know that side side side (S-S-S) congruence theorem is a theorem for triangle congruence.

It states that if any two triangles have three pairs of congruent sides, then the triangles are congruent.

We need to prove:  the SSS congruence theorem

Consider ΔABC and ΔPQR

here, AB = PQ, BC = QR and AC = PR

Construct a congruent copy of triangle ABC that shares a side with PQR.  

∠SQR ≅ ∠ABC and AB = QS

In ΔABC and ΔSQR,

AB = QS                     ..............(by construction)

∠SQR ≅ ∠ABC                 ..............(by construction)

BC = QR                 ..............(given)

ΔSQR ≅ ΔABC         ...............(SAS congruence theorem)

So, by corresponding angles of congruent theorem,

∠A ≅ ∠S and ∠ACB ≅ SRQ      

But the quadrilateral PQRS is a kite, since we have QP = QS and RP = RS

We know that the diagonal divides the kite into two congruent triangles. Here,  the diagonal QR  divides the kite into ΔSQR and ΔPQR.

But ΔSQR ≅ ΔABC

so we have ΔPQR ≅ ΔABC

Hence the side side side congruence theorem proved.

Therefore, if any two triangles have three pairs of congruent sides, then the triangles are congruent.

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Answer:

first year

$2180

Step-by-step explanation:

9% of $2000 =$180

Step-by-step explanation:

1year $2180. so the ans is send me I'd and password of zoom Answer of ur Question bro

Answer:

B.2.5

Step-by-step explanation:

The equation would be

\(-4x +8 = 2x -7\)

I believe that you would know how to solve this.

You could also sub in 2.5 for the x to check.

Good Luck!!!!!

The given two-way Frequency table, there are 33 left-handed students who are not in the music program.

The number of left-handed students who are not in the music program, we need to examine the data presented in the two-way frequency table.

From the table, we can see that the number of left-handed students in the music program is 15, and the total number of left-handed students is 48.

the number of left-handed students not in the music program, we subtract the number of left-handed students in the music program from the total number of left-handed students.

Number of left-handed students not in the music program = Total number of left-handed students - Number of left-handed students in the music program

Number of left-handed students not in the music program = 48 - 15

Calculating this, we find that the number of left-handed students not in the music program is 33.

Therefore, there are 33 left-handed students who are not in the music program, based on the data provided in the two-way frequency table.

In conclusion, based on the given two-way frequency table, there are 33 left-handed students who are not in the music program.

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Answer:

c

Step-by-step explanation:

Answer:

guys its D

Step-by-step explanation: