Work out a+2b as a column vector

Answer:

360

Step-by-step explanation:

Answer: 360

Step-by-step explanation:

Every second, the water level increases by 10 mm and this value also represents the slope

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The graph represents the given parameter

From the graph, we have the following points

(x, y) = (0, 0) and (1, 10)

The increase in height each second is then calculated as

Increase = (y2 - y1)/(x2 - x1)

This gives

Increase = (10 - 1)/(1 - 0)

Evaluate

Increase = 10

Hence. the increase in height each second is 10 mm

In (a), we have

The increase in height each second is 10 mm

The increase in height each second is also the slope of the graph

Hence, the slope of the graph is 10 mm

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The measure of the angle TRS = 46°

The angles given in figure are :

angle QSR = 110°

angle STR = 64°

angle QRS = 2x-10°

We will find the angle TRS using these given angles and some angle properties in a triangle.

We have the fact that sum of three angles of a triangle = 180°

So angle TRS + angle RST + angle STR = 180°

angle QSR and angle RST are supplementary. i.e., their sum = 180°

So angle RST = 180° - 110° = 70°

So angle TRS = 180°- (70°+64°) = 46°

Using angle TRS we can also find angle QRS and thereby, the value of x.

From the figure, angle QRT = 90°.

So angle QRS = 90°-angle TRS

⇒ 2x - 10° = 90° - 46°

⇒ 2x = 44° + 10°

⇒ x = 54°/2

⇒ x = 27°

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[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-5})\hspace{10em} \stackrel{slope}{m} ~=~ - 7 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 7}(x-\stackrel{x_1}{(-1)}) \implies y +5= -7 (x +1) \\\\\\ y+5=-7x-7\implies {\Large \begin{array}{llll} y=-7x-12 \end{array}}[/tex]

40, 3600/90 =40, is the  complete problem  where 40, 36, and 9 are the, missing numbers.

The problem we dealing with here is related to Algebra which is meant as the department of mathematics that makes a difference in the representation of problems or circumstances within the frame of numerical expressions. It includes factors like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to create an important numerical expression.

Here we are  asked to  use the digits 9, 6, and 3 in order to solve the problem. Since we know  that we  get 40 when 3600 is divided by 90,

3,600 / 90 = 40

So the number 40 means the result and followed by 3600 and 90.

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The temperature in Celsius (C) increased by 273.15 to get the temperature in Kelvin (K). The equation with the subject Celsius (C) is C=K-273.15, Option A correct.

Given that,

The temperature in Celsius (C) increased by 273.15 to get the temperature in Kelvin (K).

The formula K = C + 273.15 can be used to simulate this.

We have to find the equation with the subject C.

K=C+273.15

Taking the C to left hand side and K to right hand side.

-C=273.15-K

Multiplying -1 on both sides

-1(-C)=-1(273.15-K)

C=K-273.15

Therefore, The equation with the subject Celsius (C) is C=K-273.15, Option A correct.

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Answer:

The total percentage loss would be 67%.

Step-by-step explanation:

Since we have given that

Rate of decline each year = 20%

Number of years = 5

We need to find the total percentage loss in value of the house at the end of 5 years.

So, Total percentage loss would be

The area of the composite figure is 17 square in. Option B

From the image shown, we can see that the composite figure is made up of;

The formula for area of a rectangle is expressed as;

Area = lw

Where;

Now, substitute the values into the formula for area

Area = 3 × 4

Multiply through

Area = 12 square in

The formula for area of a triangle is expressed as;

Area = 1/ 2 × b × h

Where;

Substitute the values into the formula

Area = 1/ 2 × 2 × 5

Multiply the numerators

Area = 10/ 2

Find the ratio

Area = 5 square in

But area of the composite figure is given as;

Area of rectangle + area of triangle

12 + 5

17 square in

Hence, the area is 17 square in

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the sum of the interior angles of a parallelogram is 360°,

we have the next angles equals

m

m

With this in mind, we can have the next equation

51+51+28x-11+28x-11=360

we sum similar terms

80+56x=360

we isolate the x

56x=360-80

56x=280

x=280/56

x=5

Answer:

Yep your good

Step-by-step explanation:

Your smart

The triangle ABC has an area of 50 square cm

From the question, the given parameters are:

The given parameters above mean that:

The triangles ABC and PQR are similar triangles

So, the area of the triangle ABC is then calculated as

Area of △PQR = Area of △ABC x (AC/PR)²

Substitute the known values in the above equation

So, we have the following equation

Area of △PQR = 8 x (2.5)²

Evaluate the product

Area of △PQR = 50

Hence, the area of the triangle ABC is 50 square cm

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By using the concepts of recurrence formula and sum, the sum of the first 26 terms of the sequence is equal to 299.

In this problem we have a recurrence formula of the following form: a₁ = C and aₙ = aₙ₋₁ + k. Then, the sum of first n terms of the sequence is:

s = a₁ + a₂ + a₃ + ... + aₙ₋₁ + aₙ

First, determine the first 26 terms of the series:

a₁ = 49

a₂ = 46

a₃ = 43

a₄ = 40

a₅ = 37

a₆ = 34

a₇ = 31

a₈ = 28

a₉ = 25

a₁₀ = 22

a₁₁ = 19

a₁₂ = 16

a₁₃ = 13

a₁₄ = 10

a₁₅ = 7

a₁₆ = 4

a₁₇ = 1

a₁₈ = - 2

a₁₉ = - 5

a₂₀ = - 8

a₂₁ = - 11

a₂₂ = - 14

a₂₃ = - 17

a₂₄ = - 20

a₂₅ = - 23

a₂₆ = - 26

Second, sum all the terms found in the previous step:

s = 49 + 46 + 43 + 40 + 37 + 34 + 31 + 28 + 25 + 22 + 19 + 16 + 13 + 10 + 7 + 4 + 1 - 2 - 5 - 8 - 11 - 14 - 17 - 20 - 23 - 26

s = 299

The sum of the first 26 terms of the sequence is equal to 299.

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A Venn diagram is visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas the circles that do not overlap do not.. If U = {1, 2, 3, 4, 5, 6, 7, 8), A=(2, 4, 6), B = {1, 2, 5, 8), and C = (1,3,7), Then

AU(BUC)= {1,2,3,4,5,6,7,8}.

A Venn diagram is visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas  the circles that do not overlap do not.

Venn diagrams are useful for showing how the two concepts are related and different visually. They have long been acknowledged for their value as teaching resources. Venn diagrams have been incorporated into elementary-level lesson plans and the introduction to logic curricula worldwide since the middle of the 20th century.

Venn diagrams are helpful for displaying the relationships between several ideas or factors. They can quickly demonstrate how things are alike or dissimilar as well as where and how they overlap. A Venn diagram's center, which is where two or more circles intersect, frequently indicates some nexus or central concept that may be broken down into the various other circles, with the labels on the outer portions representing more abstract and separate concepts than those near the center.

Since, BUC= {1,2,3,5,7,8}

So, AU(BUC) = {1,2,3,4,5,6,7,8}

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Answer:

That's the answer

please mark brainiest

The total weight of the brass returned is 4.04 lb

In this question, we have to find the total conversion of brass return with 450 so multiply the conversion rate by the live rounds return back then we will get our exact answer as follows

A unit received rounds of .9mm = 1000

They return the number of live round units = 450

They return the number of live round units with a brass conversion = .009

so,

  The total weight of the brass returned = 450 × .009

   The total weight of the brass returned with a brass conversion = 4.05 lb

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Answer:

4

Step-by-step explanation:

1 side is 50 per inch the ornate cost 200 cents. 200÷50=4

The equation of the new parallel line is  x = - 5

How is the new line equation calculated?

The old line = x = -2

The new line is parallel to x = -2 ---(1)

The new line is of the form x = k --- (2)

The  line x = k  will passes through the point ( -5 , 4)

So, x = k = - 5

=> -5 = K

=> x = -5

   The equation of the new parallel line is x = -5

What are parallel lines?

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Answer:

a=75

Step-by-step explanation:

Answer:

Domain { 0,2,3,4}

Range { -2,1,2,5}

Step-by-step explanation:

The domain is the values that x can take

Domain { 0,2,3,4}

The range is the values that y can take

Range { -2,1,2,5}

Answer: 1 and 1/5 (or 1.2), on a number line would be between One and Two but closer to One.

Answer: (5,10)

Step-by-step explanation: We are given that a factory's production is modeled by function  f(x).

Where f(x)=Number of parts produced per hour

x=Number of people working during production

We have to choose an ordered pair that represents a possible domain and range of the function.

x is the number of people working during production. It is always positive because time can not be negative.

f(x) is the number of parts produced per hour .It is always positive because quantity of any number cannot be negative. It is always positive.

In first option (-1,15)

x=-1,f(x)=15

x is negative which is not possible.

So, it is false.

In option b(5,-50)

x=5,f(x)=-50

Range is negative which is not possible.

So , it is false.

In option C( -10,-100)

x=-10, f(x)=-100

x and f(x) are both negative  therefore, it is false.

In option D (5,10)

x=5 , f(x)=10

x and f(x) are both positive.

So, it is possible ordered pair.

Hence, ordered pair (5,10) in which 5  represent  a possible domain and 10 represent the possible range.

Answer:

-4

Step-by-step explanation:

The line goes down as it moves to the right so it has to be negative.

It goes over 1 and down 4.

To find the slope we use -4/1

We do this because it went down 4 so the 4 is negative, and we use 1 because it went over 1.

So -4/1 = -4

The single transformation from shape A to shape B is;

(1, 6);  (x, y) → (y + 1, x + 5)

(5, 6); (x, y) → (y + 1, x - 3)

(3, 8); (x, y) → (y + 1, x + 1)

We know that in transformation, it could either be a reflection, a dilation, a translation e.t.c.

Now, let us look at the shapes A and B to find their coordinates.

Coordinates of Shape A are; (1, 6), (5, 6), (3, 8)

Coordinates of Shape B are; (7, 6), (7, 2), (9, 4)

Since the transformed shape B is to the right of the original shape A, then we can suggest that the first transformation is a reflection about the line x = 6. Thus, this is; (x, y) → (y, x)

The transformation of shape A following (x, y) → (y, x) is;

A'(6, 1), B'(6, 5), C'(8, 3)

Comparing that to the coordinates of shape B, we can say that the transformations are;

(1, 6);  (x, y) → (y + 1, x + 5)

(5, 6); (x, y) → (y + 1, x - 3)

(3, 8); (x, y) → (y + 1, x + 1)

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Answer:

range of the function f(x) = 23/1082 {x| all real numbers}; {yly >0} O {x| all real numbers}; {yl y 2 0} O {x|x>0}; {yl all ...

The domain and range of the function f ( x ) is {x all real numbers}; {yl y >0}

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 2( ∛108 )²ˣ

The domain of the function is all real numbers because there are no restrictions on the variable x.

To find the range, we can simplify the function as follows:

f(x) = 2(∛108)²ˣ

f(x) = 2(6)²ˣ

f(x) = 2(36)ˣ

f(x) = 72ˣ

Since 72ˣ is always positive, the range of the function is {y: y > 0}.

Hence , the domain and range is solved and = {x ∈ R : x ∈ R }, {y ∈ R: y > 0}

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The complete question is attached below :

Determine the domain and range of the function f(x) = 2( ∛108 )²ˣ

O {x all real numbers}; {yl y >0}

O x all real numbers}; {yl y ≥ 0}

O {xx>0}: {yl all real numbers}

O x x ≥ 0}; {yl all real numbers}

He’ll get the prize of dollar 10000, then the consumption after adding dollar 1500 is:  $10000 + $1500 = $11500

a) the derive equation is 50000 + 10000 + x

jack has maximum amount of wealth = $50,000

When he participated in a jujitsu competition  then the prize amount = 10,000

Then we will take a variable x for derive the equation which will depend on that he will win and loose :

Here,

the equation is = 50000 + 10000 + x

b) His consumption after not purchasing medical insurance is $15000.

if, he does not purchase medical insurance  then he has no coverage of insurance and

He’ll lose the tournament and he’ll have to pay medical expenses dollar 5000 and also the prize amount $10000

So, his consumption after not purchasing medical insurance is:

$10000 + $5000 = $15000

c) when he will purchase medical insurance then his total consumption is $3500

his consumption if he purchase medical insurance, he will give dollar1 for medical insurance and will get in return dollar .3 ,

When he will have to pay for medical insurance $5000, then he’ll get the coverage on medical insurance:

0.3 * 5000 = $1500

Now, subtracting the amount of medical insurance which he’ll have to pay:

$5000 - $1500 = $3500

He’ll get the prize of dollar 10000, then the consumption after adding dollar 1500 is:

 $10000 + $1500 = $11500

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Answer:

-10x²+4x-8

Step-by-step explanation:

-4x²+4x-6x²-8

-4x²-6x²+4x-8

-10x²+4x-8

1. The total bill that the basketball team will pay is $165.

2. The change that the person will recieve after paying is $43.075

1. The basketball team went out and the total bill was $125.

Tip given to waitress= 25% = 25% × $125 = $31.25

Tax rate = 7% = 7% × $125 = $8.75

Total bill = $125 + $31.25 + $8.75 = $165

2. Amount saved = $100

Total bill = $45

Tip given to waitress= 20% = 20% × $45 = $9

Tax rate = 6.5% = 6.5% × $45 = $2.925

Amount left = $100 - $45 - $9 - $2.925 = $43.075

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