Each of the 16 creates on a freight elevator weighs 150 pounds. The freight elevator has a weight limit 2 tons. How many more creates can be safely put on the elevator freight?

Answer:

18

Step-by-step explanation:

25 + 11 = 36

36/2 = 18

hope this helps

Answer:

the answer is 6 trust. poopoo

a. there are three vectors in {a₁, a₂, a₃}.

b. There are infinitely many vectors in W = span {a₁, a₂, a₃} by definition.

c. we have that a₁ is in the W.

A matrix is a set of integers arranged in rows and columns. The rows and columns of integers are arranged in a rectangular matrix. The matrix A, for instance, contains two rows and three columns. The elements of the matrix, also known as the entries, are the integers. In addition to many areas of mathematics, matrices are widely used in the fields of engineering, physics, economics, and statistics.

a. The vector b is not in {a₁ ,a₂, a₃} since b is not equal to any of the column vectors of A. Clearly, there are three vectors in {a₁, a₂, a₃}.

b. Vector b is in W if the augmented matrix [a₁, a₂, a₃ b] is consistent.

The augmented matrix is:

\(\left[\begin{array}{cccc}1&0&-4&4\\0&3&-2&1\\-2&6&3&-4\end{array}\right] \sim \left[\begin{array}{cccc}1&0&-4&4\\0&3&-2&1\\0&6&-5&4\end{array}\right] \sim \left[\begin{array}{cccc}1&0&-4&4\\0&3&-2&1\\0&6&-1&2\end{array}\right]\)

Thus, since the system is consistent we have that b must be in W.

There are infinitely many vectors in W = span {a₁, a₂, a₃} by definition.

c. since   \(\left[\begin{array}{c}1\\0\\-2\end{array}\right] = 1. \left[\begin{array}{c}1\\0\\-2\end{array}\right] + 0. \left[\begin{array}{c}1\\0\\-2\end{array}\right] + 0. \left[\begin{array}{c}1\\0\\-2\end{array}\right]\) we have that a₁ is in the W.

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a. there are three vectors in {a₁, a₂, a₃}.

b. There are infinitely many vectors in W = span {a₁, a₂, a₃} by definition.

c. we have that a₁ is in the W.

A matrix is a set of integers arranged in rows and columns. The rows and columns of integers are arranged in a rectangular matrix. The matrix A, for instance, contains two rows and three columns. The elements of the matrix, also known as the entries, are the integers. In addition to many areas of mathematics, matrices are widely used in the fields of engineering, physics, economics, and statistics.

a. The vector b is not in {a₁ ,a₂, a₃} since b is not equal to any of the column vectors of A. Clearly, there are three vectors in {a₁, a₂, a₃}.

b. Vector b is in W if the augmented matrix [a₁, a₂, a₃ b] is consistent.

No, b is not in {a1, a2, a3}.

There are 3 vectors in {a1, a2, a3}.

Yes, b is in W.

There are infinitely many vectors in W.

Yes, a1 is in W because it can be expressed as a linear combination of the vectors in W. This is shown by the equation a1 = 1(a1) + 0(a2) + 0(a3).  The coefficients of the vectors in the linear combination are all integers and this equation shows that a1 is in the span of the vectors in W.

Thus, since the system is consistent we have that b must be in W.

There are infinitely many vectors in W = span {a₁, a₂, a₃} by definition.

c. since we have that a₁ is in the W.

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The completed proof for the two triangles is as follows -

ST bisects ∠UTV - Given

∠UTS ≅ ∠VTS - Angle Bisection Theorem

∠TUS and ∠TVS are right angles - Given

∠TUS ≅ ∠TVS - All right angles are congruent

ST ≅ ST - Reflexive property of congruence

ΔUTS ≅ ΔVTS - Angle Angle Side (AAS) Theorem

SU ≅ SV - CPCTC Rule

SU = SV - Congruence Theorem

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

Two right angle triangles ΔSUT and ΔSVT are given with line segment ST being the common.

It is given that line segment ST bisects ∠UTV as ST is the common line between the two triangles.

∠UTS ≅ ∠VTS as it is bisected by the line segment ST and it follows the rule of angle bisection theorem.

∠TUS and ∠TVS similar as they both are right-angles which is denoted by the small square symbol in the diagram.

∠TUS ≅ ∠TVS as they both are right-angles and all the right angles are equal and congruent having a measure of 90°.

ST ≅ ST since it is mid line segment of both the triangles and it follows the rule of reflexive property of congruency.

ΔUTS ≅ ΔVTS as they satisfy the AAS theorem, where two angles of a triangle and side between them are equal. Here, ∠UTS ≅ ∠VTS, ∠UTS ≅ ∠VTS and ST ≅ ST.

SU ≅ SV as corresponding parts of the congruent triangles are congruent. So, the CPCTC rule is applied.

SU = SV as they are part of the congruent triangles, so the line segments must be equal.

Therefore, ΔUTS is equal and congruent to ΔVTS.

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Answer:     Hope this helps sorry for answering late ^ ^

Step-by-step explanation: i got it right

Answer:

  D.  (2, 0)

Step-by-step explanation:

The solutions are the two points of intersection of the graphs:

  (-2, -4) and (2, 0)

The latter of these corresponds to choice D, the one you have marked.

\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)

Answer:

slope = 4

points on graph = (0,0), (1,4)

Step-by-step explanation:

line going through quadrants 1 and 3. Straight line.

The values of the variables are;

x = 7

y = -9

From the information given, we have that;

5x−y=44

−3x−y=−12

Using the elimination method of solving simultaneous equations

Subtract equation (2) from equation (1), we get;

5x - y - (-3x - y) = 44 - (-12)

Now, expand the bracket

5x - y+ 3x + y = 56

collect the like terms

5x + 3x = 56

add the terms

8x = 56

Make 'x' the subject of formula

x= 7

Now, substitute the value of x in equation (2)

-3x - y = -12

-3(7) - y = -12

expand the bracket

-21 - y= - 12

collect like terms

-y = 9

y = -9

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Answer: The description of that transformation is the triangle is rotated 90 degrees clockwise. Then, it's moved to the right TWICE. Finally, you go down 2 times.

Step-by-step explanation:

Hope this helps :)

triangle B is in dofferent orientation from triangle B so we know it was either mirrored or rotated. Triangle B isnt in the exact opposite orientation as A so we know it wasnt mirrored. So we now know that it was rotated and know we have to find the point of rotation. we can tell that the rotation was 270 degrees anti clockwise since it cant be clockwise because no points of rotation match. since we know triangle A was rotated 270 degrees anti clockwise to get triangle B we cant find the point of rotation by seeing which point works and if we test the points we will see that (0;-1) is the point of rotation. So triangle A was rotated 270 degrees anti clockwise on the point (0;-1) to make triangle B

Answer:

9 squares

Step-by-step explanation:

Anne bought a piece of ribbon = 7 over 9 m long = 63 m²

she used = 3 over 18 m = 54 m²

left = 9 m²

maximum number of squares she could form of 1 m = 9

Answer:

3

Step-by-step explanation:

LK is around half of AB, which is 6. Half of 6 is 3.

The volume of the stone if, The volume of the water is 110 cm³, and The volume of the water and the stone is 150 cm³, is 40 cm³.

The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.

Given:

The volume of the water = 110 cm³,

The volume of the water and the stone = 150 cm³,

Calculate the volume of the stone as shown below,

The volume of stone = The volume of the water and the stone - The volume of the water

The volume of stone = 150 - 110

The volume of stone = 40

Thus, the volume of the stone is 40 cm³

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Answer:

11.4

Step-by-step explanation:

57/5 as a mixed number is 11 2/5.

2/5 of a number is also known as 4/10 or 0.4, so add that to 11 to get 11.4.

Answer:

11.4

Step-by-step explanation:

57/5 = 11.4

Answer:

10

Step-by-step explanation:

Using an exponential function, it is found that the hourly growth rate of the bacteria culture is of 14.9%.

------------------------

An exponential function has the following format:

\(A(t) = A(0)(1+r)^t\)

In which:

------------------------

Since it doubles every 5 hours, it means that:

\(A(5) = 2A(0)\)

And we use this to find r.

------------------------

\(A(t) = A(0)(1+r)^t\)

\(2A(0) = A(0)(1+r)^5\)

\((1 + r)^5 = 2\)

\(\sqrt[5]{(1 + r)^5} = \sqrt[5]{2}\)

\(1 + r = 2^{\frac{1}{5}}\)

\(1 + r = 1.149\)

\(r = 1.149 - 1 = 0.149\)

0.149*100% = 14.9%.

The hourly growth rate of the bacteria culture is of 14.9%.

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Answer:

Min: 1

Q1: 2
Median: 7
Q3: 9
Max: 11.5

Step-by-step explanation:

The five bars of the box plot correspond (from left-to-right) to the numbers in the five-number summary.

The first bar represents the minimum, which in this case is 1.

The second bar represents the first quartile (Q1), which in this case is 2.

The third bar represents the median, which in this case is 7.

The fourth bar represents the third quartile (Q3), which in this case is 9.

And the fifth bar represents the maximum, which in this case is 11.5.

Answer:

Min: 1

Q1: 2

Median: 7

Q3: 9

Max: 11.5

Step-by-step explanation:

I hope it helps:)

Answer:

8004

Step-by-step explanation:

87 x 92 = 8004

Answer:

87 × 92 = 8,004

Step-by-step explanation:

all 87 students got 92 signatures

Step 1

The graph of the original function

is shown below.

From this Graph

Graph Y has a

Answer:

58

Step-by-step explanation:

9x + 22                        x = 4

9(4) + 22

36 + 22

58

Answer:

its a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Tis' a function because for each input, there's one output. Because, for any given x, there is only 1 sin(x).

Yes, because for each input there is exactly one output. Therefore, the relation represented by the mapping diagram is a function.

To determine if the relation represented by the given mapping diagram is a function, we need to check if each input (x value) has exactly one output (y value) associated with it.

From the given mapping diagram, we can see that:

The input value -3 is associated with the output value 0.

The input value -1 is associated with the output value 2.

The input value 1 is associated with the output value 0.

The input value 3 is associated with the output value 2.

The input value 5 is associated with the output value 5.

As we can see, each input value has exactly one output value associated with it. Therefore, the relation represented by the mapping diagram is a function.

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9514 1404 393

Answer:

  Q = ±2√R

Step-by-step explanation:

Take the square root:

  ±√R = 1/2Q

Multiply by 2:

  Q = ±2√R

Answer:

18624 to nearest 1000= 19000

hope this helps <3

Answer:

19000

Step-by-step explanation:

624 is more than 499 therefore it is 19000

The expression we have is:

Step 1. To solve for g, we need to have the term that contains "g" alone on one side of the equation. For that reason the first step will be to add 4f to both sides of the equation:

And as we can see, on the left side we get -4f+4f which cancel each other:

Step 2. Combine the like terms on the right side of the equation.

We can combine 6f+4f because the two terms have the same variable, and the result is 10f:

Step 3. The last step to solve for g is to divide both sides of the equation by 2:

On the left side we get g:

and on the right side, 10f/2 is equal to 5f:

Answer:

The equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is: R(x) = 250000 + 375x - 2.5x²

Equations are mathematical statements with two algebraic expressionsοn either sideοf an equals (=) sign. It illustrates the equality between the expressions writtenοn the left and right sides. To determine the valueοf a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

N(x) = 625 + 2.5x

The revenue R(x) will be the productοf the numberοf students enrolled and the fee charged per student. The fee charged per student will be (400 - x) dollars. So, the revenue function can be represented as:

R(x) = (625 + 2.5x)(400 - x)

Simplifying the expression, we get:

R(x) = 250000 + 375x - 2.5x²

Therefore, the equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is:

R(x) = 250000 + 375x - 2.5x²

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Answer:

im going so asume you mean a 6 sided dice since thats the most common

(i) 16 2/3%

(ii) 0%

(iii) 16 2/3

(iv) (2,3,5) 50% (1,2,3,5) 66 2/3%

(v) 50%

(vi) 50%

(vii) 33 1/3

Hope This Helps!!!

Answer:

79.2° (First Option)

Step-by-step explanation:

To find mAB, recognize that the percents given for the pie chart can represent the percent area of the sector of the circle, the percent measure of the central angle that forms the sector, or the percent measure of the length of the arc.

The measure of an arc is equal to the measure of the central angle between the radii that form its endpoints. So, mAB=m∠AOB.

The measure of the central angle AOB that forms AB is 22 percent of the whole circle, or (0.22)360∘. So, mAB=0.22(360∘)=79.2∘

Therefore, the measure of arc AB

is 79.2∘.

The measure of the arc AB of a circle showing the different vitamins present in a health drink is 79.2 degrees.

The measure of an arc is always equivalent to the measure of the central angle between the radii that form its endpoints.

As the measure of an arc is always equivalent to the measure of the central angle between the radii that form its endpoints.

Thus \(m\angle{AOB}=\widehat{AB}\).

First, find the measure of angle AOB.

Since the measure of angle AOB shows 22% of vitamins of the whole circle.

This means that the measure of angle AOB is 22% of 360 degrees.

Then we will get

\(m\angle{AOB}=\dfrac{22}{100}\times 360^{\circ}\\m\angle{AOB}=79.2^{\circ}\)

Here the measure of angle AOB  is 79.2 degrees.

And since \(m\angle{AOB}=\widehat{AB}\).

Therefore the measure of arc AB is 79.2 degrees.

That means option A \(79.2^{\circ}\) is correct option.

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Answer:

1008 cm²

Step-by-step explanation:

The triangular prism comprises:

Formulae

Area of a triangle = 1/2 × base × height

Area of a rectangle = width × length

Total surface area:

= 2 triangles + rectangle 1 + rectangle 2 + rectangle 3

= 2(1/2 × (9 + 5) × 12) + (15 × 20) + (13 × 20) + ((5 + 9) × 20)

= 2(1/2 × 14 × 12) + (15 × 20) + (13 × 20) + (14 × 20)

= 168 + 300 + 260 + 280

= 1008 cm²

Area of two side triangles

Area of atop rectangles

Area of base rectangle

TSA

Step-by-step explanation:

absolute value absolute value of numbers | x | means: the distance on the real line (or in the complex plane or in the n-dimensional space) between x and zero, it is also called modulus. | a + bi | = √ (a² + b²) Cardinality: | A | = Cardinality of set A.

Answer:

parallel lines :]

Step-by-step explanation:

Answer: a is equal to b

Step-by-step explanation:

Answer:

a is parallel to b

Step-by-step explanation: