Plot the image of point P under a translation by 3 units to the right and 1 unit up

Simplify the Integer part of the SQRT

Step-by-step explanation:

Factor 200 into its prime factors

           200 = 23 • 52 

Answer:

Area of drawing= 0.315 m²

Step-by-step explanation:

Base = 6m

Height = 4.2 m

Area = height* base

Area= 4.2*6

Area= 25.2 m²

The scale is 10 cm on the drawing for every 8 meters on the sculpture.

Which is 10 cm to 800 cm

Or

0.1m to 8m

Arra of sculpture= 25.2 m²

area of drawing= (25.2*0.1)/8

Area of drawing= 0.315 m²

Answer:

Step-by-step explanation:205

(a) x² + y² + z² + 18(x - y + z) + 218 = 0

(b) (x + 9)² + (y - 9)² + 56 = 0

The general equation of a sphere of radius r and centered at C = (x₀, y₀, z₀) is given by;

(x - x₀)² + (y - y₀)² + (z - z₀)² = r²               ------------------(i)

From the question:

The sphere is centered at C = (x₀, y₀, z₀) = (-9, 9, -9) and has a radius r = 5.

Therefore, to get the equation of the sphere, substitute these values into equation (i) as follows;

(x - (-9))² + (y - 9)² + (z - (-9))² = 5²

(x + 9)² + (y - 9)² + (z + 9)² = 25      ------------------(ii)

Open the brackets and have the following:

(x + 9)² + (y - 9)² + (z + 9)² = 25

(x² + 18x + 81) + (y² - 18y + 81) + (z² + 18z + 81) = 25

x² + 18x + 81 + y² - 18y + 81 + z² + 18z + 81 = 25

x² + y² + z² + 18(x - y + z) + 243 = 25

x² + y² + z² + 18(x - y + z) + 218 = 0    [equation has already been normalized since the coefficient of x² is 1]

Therefore, the equation of the sphere centered at (-9,9, -9) with radius 5 is:

x² + y² + z² + 18(x - y + z) + 218 = 0

(2)  To get the equation when the sphere intersects a plane z = 0, we substitute z = 0 in equation (ii) as follows;

(x + 9)² + (y - 9)² + (0 + 9)² = 25

(x + 9)² + (y - 9)² + (9)² = 25

(x + 9)² + (y - 9)² + 81 = 25        [subtract 25 from both sides]

(x + 9)² + (y - 9)² + 81 - 25 = 25 - 25

(x + 9)² + (y - 9)² + 56 = 0

The equation is therefore, (x + 9)² + (y - 9)² + 56 = 0

Answer:

13

Step-by-step explanation:

(3-2i)(3+2i)

as (a+b)(a-b) =a²-b²

3²-(2i)²

=9-(4*-1)

=9-(-4)

=9+4

=13

Hope this helps you!

Answer:

13

Step-by-step explanation:

3^2=9, 2i*(-2i)=-4i^2=4

the 6i and -6i cancel leaving the positive 9 and 4

9+4=13

Answer:

1.125

Step-by-step explanation:

Each piece weighs 1.125 ounces

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that small apple weighs 4.5 ounces.

if it is divided into 4 equal Pieces then

Therefore, Weight of apple = 4.5 ounces

Total pieces = 4

Now Weight of 1 piece = 4.5 ÷ 4

= 1.125

Hence the answer is 1.125 ounces

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Answer:

a: 15 in

b:210 cm

c: 21 yds

Step-by-step explanation:

a: to find the area of a triangle multiply the base and the height, then divide the result by two.

b: to find the area of a trapezoid, multiply the median ( the point where the opposite corners cross) and the height.

c: to find the area of a parallelogram, multiply the lenght and the height.

Hope this helps!

Answer:

the contribution margin per composite unit is $365

Step-by-step explanation:

The computation of the contribution margin per composite unit is shown below:

= Contribution margin per unit for product A × ratio of A + Contribution margin per unit for product B × ratio of B

= ($86 - $45) × 5 + ($124 - $49) × 2

= $205 + $160

= $365

Hence the contribution margin per composite unit is $365

This question is incomplete, the complete question is;

Your boss asks you to design a Boolean circuit that verifies whether a given integer 0 < x < 16 is divisible by 5.

Every such number is represented in binary using four bits, say b₃b₂b₁b₀, and so your Boolean circuit will have four inputs. For instance, the number 13 is written in binary as 1101 and so to test its divisibility by 5 a user would feed the values b₀ = 1, b₁ = 0, b₂ = 1, and b₃ = 1 into the inputs of your circuit.

The Boolean circuit will have a single output, which should deliver the value 1 if the iput values represent a number that is divisible by 5 and 0 otherwise.

a) write down the truth table of the Boolean function F(b₀,b₁,b₂b₃) that implements this "divisible by 5" operation

b) construct a Boolean expression in disjunctive normal form that implements the Boolean function yo wrote down in a)

Answer:

Given that;

integer range = 0≤ x ≤ 16

within 4bits, we can represnt each number

(0,5,10,15)

a)  

Truth table for function that implements  divisible by 5

Integer    B3    B2    B1    B0     Y

0              0       0      0      0      1

1              0       0      0       1      0

2              0       0      1        0     0

3              0       0      1        1      0

4              0       1       0       0     0

5              0       1       0       1      1

6              0       1       1        0     0

7              0       1       1        1       0

8              1       0      0        0      0

9              1       0      0        1       0

10             1       0      1         0      1

11              1       0      1          1      0

12             1        1      0         0     0

13             1         1     0          1      0

14             1         1       1         0     0

15            1         1        1        1       1

b)

Boolean expression that implements the Boolean function from a)

from the truth table;

Boolean expression Y is;

Y = b⁻₃b⁻₂b⁻₁b⁻₀ / y₁   +   b⁻₃b₂b⁻₁b₀ / y₂   +   b₃b⁻₂b₁b⁻₀ / y₃   +   b₃b₂b₁b₀ / y₄

Answer:

  circuit is in the second attachment

Step-by-step explanation:

Attached is a truth table for the desired circuit, where b3–b0 are the input bits, MSB–LSB. We notice that the output is true whenever b3=b1 and b2=b0. This can be written in DNF as ...

  [tex]Y=b_3'b_2'b_1'b_0'+b_3b_2'b_1b_0'+b_3'b_2b_1'b_0+b_3b_2b_1b_0[/tex]

More compactly, it can be written in terms of the exclusive-nor function as ...

  [tex]y=(b_3\odot b_1)\wedge(b_2\odot b_0)[/tex]

A circuit diagram showing this circuit is the second attachment. (A–D are the input bits, in order MSB–LSB (or its reverse)).

Answer:

A

[tex]f(x + h) = 21x -x^2 -2xh+ 21h+h^2[/tex]

B

[tex]f(x-h)-f(x) = 21h+h^2 -2xh[/tex]

C

[tex]\frac{f(x-h)-f(x)}{h} = 21+h -2x[/tex]

Step-by-step explanation:

From the question we are told that

   The equation given is

                    [tex]f(x) = x (21 - x )[/tex]

Considering  A

      [tex]f(x + h) = (x + h) (21 - (x + h))[/tex]

      [tex]f(x + h) = (x + h) (21 - x - h)[/tex]

      [tex]f(x + h) = 21x -x^2 -2xh+ 21h+h^2[/tex]

Considering B

       [tex]f(x + h)-f(x) = 21x -x^2 -2xh+ 21h+h^2 -[ x(21 -x)][/tex]

        [tex]f(x + h)-f(x) = 21x -x^2 -2xh+ 21h+h^2 -21x + x^2[/tex]

       [tex]f(x-h)-f(x) = 21h+h^2 -2xh[/tex]

Considering C

       [tex]\frac{f(x-h)-f(x)}{h} = \frac{21h+h^2 -2xh}{h}[/tex]  

       [tex]\frac{f(x-h)-f(x)}{h} = \frac{h(21+h -2x)}{h}[/tex]

       [tex]\frac{f(x-h)-f(x)}{h} = 21+h -2x[/tex]

A sequence is defined as an arrangement of numbers in a particular order.

The number of Band members in the year 2018 is expected to be 76.

A sequence is defined as an arrangement of numbers in a particular order.

We have,

Year         Number of Band members

2014        40

2015        46

2016        54

2017         64

We can make a sequence with the number of band members that increases each year.

i.e

40  46  54  64

We see that,

46 - 40 = 6

54 - 46 = 8

64 - 54 = 10

We see that the difference between the consecutive terms is increasing by 2.

So, the next term in the sequence will be 64 + 12 = 76.

Thus the number of band members in the year 2018 is expected to be 76.

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Answer:

Answer A

Step-by-step explanation:Option B is saying that he went back 8 yards and was pushed even farther. Option C is saying he ran foward 17 yards and got pushed back 8. Option D is saying he got pushed foward 17 yards.

Option A is saying that he ran 8 yards and then lost 17 by getting pushed back.

Answer:

X = m - 2w

Step-by-step explanation:

just isolate the variable.

Answer:

x=m-2w

Step-by-step explanation:

Just take the +2w to the other side where it becomes negative.

Answer:

P ($)=70-5(t)

Where p = price at t days

t = number of days

Step-by-step explanation:

The product price initially = $70

Now, every day , it reduces $5

The rate=$5 per day reduction

The price in the days will be determined by the formula below

P ($)=70-5(t)

Where p = price at t days

t = number of days

So let's assume it's on the second day

The price after the second day

P($) = 70-5(2)

P($) = 70-10

P($)= $60

The price after two days will be reduced to $60

Answer:

(a) (x - 3)² + (y + 4)² + (z - 5)² = 25

(b) (x - 3)² + (y + 4)² + (z - 5)² = 9

(c) (x - 3)² + (y + 4)² + (z - 5)² = 16

Step-by-step explanation:

The equation of a sphere is given by:

(x - x₀)² + (y - y₀)² + (z - z₀)² = r²            ---------------(i)

Where;

(x₀, y₀, z₀) is the center of the sphere

r is the radius of the sphere

Given:

Sphere centered at (3, -4, 5)

=> (x₀, y₀, z₀) = (3, -4, 5)

(a) To get the equation of the sphere when it touches the xy-plane, we do the following:

i.  Since the sphere touches the xy-plane, it means the z-component of its centre is 0.

Therefore, we have the sphere now centered at (3, -4, 0).

Using the distance formula, we can get the distance d, between the initial points (3, -4, 5) and the new points (3, -4, 0) as follows;

[tex]d = \sqrt{(3-3)^2+ (-4 - (-4))^2 + (0-5)^2}[/tex]

[tex]d = \sqrt{(3-3)^2+ (-4 + 4)^2 + (0-5)^2}[/tex]

[tex]d = \sqrt{(0)^2+ (0)^2 + (-5)^2}[/tex]

[tex]d = \sqrt{(25)}[/tex]

d = 5

This distance is the radius of the sphere at that point. i.e r = 5

Now substitute this value r = 5 into the general equation of a sphere given in equation (i) above as follows;

(x - 3)² + (y - (-4))² + (z - 5)² = 5²  

(x - 3)² + (y + 4)² + (z - 5)² = 25  

Therefore, the equation of the sphere when it touches the xy plane is:

(x - 3)² + (y + 4)² + (z - 5)² = 25  

(b) To get the equation of the sphere when it touches the yz-plane, we do the following:

i.  Since the sphere touches the yz-plane, it means the x-component of its centre is 0.

Therefore, we have the sphere now centered at (0, -4, 5).

Using the distance formula, we can get the distance d, between the initial points (3, -4, 5) and the new points (0, -4, 5) as follows;

[tex]d = \sqrt{(0-3)^2+ (-4 - (-4))^2 + (5-5)^2}[/tex]

[tex]d = \sqrt{(-3)^2+ (-4 + 4)^2 + (5-5)^2}[/tex]

[tex]d = \sqrt{(-3)^2 + (0)^2+ (0)^2}[/tex]

[tex]d = \sqrt{(9)}[/tex]

d = 3

This distance is the radius of the sphere at that point. i.e r = 3

Now substitute this value r = 3 into the general equation of a sphere given in equation (i) above as follows;

(x - 3)² + (y - (-4))² + (z - 5)² = 3²  

(x - 3)² + (y + 4)² + (z - 5)² = 9  

Therefore, the equation of the sphere when it touches the yz plane is:

(x - 3)² + (y + 4)² + (z - 5)² = 9  

(b) To get the equation of the sphere when it touches the xz-plane, we do the following:

i.  Since the sphere touches the xz-plane, it means the y-component of its centre is 0.

Therefore, we have the sphere now centered at (3, 0, 5).

Using the distance formula, we can get the distance d, between the initial points (3, -4, 5) and the new points (3, 0, 5) as follows;

[tex]d = \sqrt{(3-3)^2+ (0 - (-4))^2 + (5-5)^2}[/tex]

[tex]d = \sqrt{(3-3)^2+ (0+4)^2 + (5-5)^2}[/tex]

[tex]d = \sqrt{(0)^2 + (4)^2+ (0)^2}[/tex]

[tex]d = \sqrt{(16)}[/tex]

d = 4

This distance is the radius of the sphere at that point. i.e r = 4

Now substitute this value r = 4 into the general equation of a sphere given in equation (i) above as follows;

(x - 3)² + (y - (-4))² + (z - 5)² = 4²  

(x - 3)² + (y + 4)² + (z - 5)² = 16  

Therefore, the equation of the sphere when it touches the xz plane is:

(x - 3)² + (y + 4)² + (z - 5)² = 16

By using the general sphere equation and what we know about planes, we will get:

The general sphere of radius R centered in the point (a, b, c) is given by:

(x - a)^2 + (y - b)^2 + (z - c)^2 = R^2

If we want a sphere centered in (3, -4, 5) we will have:

(x - 3)^2 + (y + 4)^2 + (z - 5)^2 = R^2

a) We want the sphere to touch the xy-plane, (with z = 0) then the radius must be at least equal to the z-component of the point, so we have R = 5, then the equation is:

(x - 3)^2 + (y + 4)^2 + (z - 5)^2 = 5^2

b) This time is the yz-plane, so the radius must be equal to the x-component.

(x - 3)^2 + (y + 4)^2 + (z - 5)^2 = 3^2

c) Finally, the xz-plane, this time the radius must be equal to the y-component.

(x - 3)^2 + (y + 4)^2 + (z - 5)^2 = 4^2

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Answer:the answer is 1, b option i just take the tes

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

the answer is one

Answer:

The area should be 56.4

Step-by-step explanation:

When you try to find the area of a triangle you have to multiply the base and height, which was 12km and 9.4 km,and you divide it by 2.

Answer:

36 9/16 ft^3

Step-by-step explanation:

volume = length * width * height

volume = 3 3/4 ft * 3 ft * 3 1/4 ft

Change all mixed numerals to fractions.

volume = 15/4 * 3/1 * 13/4 ft^3

volume = 585/16 ft^3

volume = 36 9/16 ft^3

Answer:

75%

Step-by-step explanation:

Total = 21 + 7

         = 28 cupcakes

Vanilla cupcakes = 21 / 28 x 100

                             = 0.75 x 100

                             = 75%

Answer:

75%

Step-by-step explanation:

21+7=28

21 divided by 28 is equal to 0.75. 0.75 x 100 = 75%

Please choose my answer as the brainliest. It gets me to the next level!

Answer:

Radius= 11

Circumference= 69.12

Area= 380.133

Step-by-step explanation:

Radius is half of the diameter.

Circumference is 2[tex]\pi[/tex]r.

Area is [tex]\pi r^2[/tex].

Answer:

because angles on a straight line add up to 180 degrees substract (180-110), step 2; you will get 70 degrees afterwards the angle y is perpendicular it's 90 degrees.step 3;add (90+70) you get 160 .step 4;then substract (180-160) you get your answer as 20 degrees

Answer:

x = 20º

Step-by-step explanation:

Since it is a triangle, the sum of the internal angles is 180º.

We know that y = 90º, because 110º + 70º = 180º, and the line intercepts it, splitting the larger triangle into 2.

Since, y = 90º, and the other angle is 70º, we add those together to 160º.

Then, we take 180º - 160º = 20º.

x = 20º

Hope this helps.

:)

Answer:Avocados:4

Broccoli:3

Carrots:2

Onions:1

Step-by-step explanation:I did the question it is correct.

Answer:

x=7

Step-by-step explanation:

[tex]1 + 3x = - 13 + 5x[/tex]

Collect like terms and simplify

[tex]3x - 5x = - 13 - 1 \\ - 2x = - 14[/tex]

Divide both sides of the equation by -2

[tex] \frac{ - 2x}{ - 2} = \frac{ - 14}{ - 2} [/tex]

Simplify

[tex]x = 7[/tex]

Answer:

Step-by-step explanation:

1 + 3x = 5x - 13

-2x + 1 = -13

-2x = -14

x = 7

Answer:

16. 200+3

17. 30+4+0.1+0.02+0.007

18. 200+70+6+0.1+0.03

19. 30000000+4000000+100000+20000+3000+6

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Rule:

[tex] a^m \times a^n = a^{m + n} [/tex]

Explanation:

When multiplying monomials with the same base, write the same base and add the exponents.

She will most likely finish graduation portraits.

I'm not to sure so try not to pick my answer.

Answer:

A;C;E

Step-by-step explanation:

Let cost of almond per pound be X

Cost of 3 pounds of almonds=3X

cost of pistachios per pound = X+4

Cost of 2 pounds of pistachios=2X+8

Total cost=5X+8=48

5X+8=48

5X=40

X=8

cost of one pound almond is $8

cost of one pound pistachios is $12

Please mark it brainly

Answer:

[tex]-\frac{15}{16}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4} ^{2}[/tex]= [tex]\frac{1}{16}[/tex]

2*(pq)= 2([tex]\frac{1}{6}[/tex])= [tex]\frac{1}{3}[/tex]

-3[tex]q^{2}[/tex]= -3[tex](\frac{4}{9} )[/tex]= [tex]-\frac{4}{3}[/tex]

[tex]\frac{1}{16} +\frac{1}{3}-\frac{4}{3}[/tex]=

[tex]\frac{1}{16} -1[/tex]=

[tex]-\frac{15}{16}[/tex]

Answer:

Step-by-step explanation:

(8 + 2)/(-2 - 1)= -10/3

Answer:

[tex]R(200) = 6200[/tex]

[tex]R(3000) = 93000[/tex]

Step-by-step explanation:

Given

[tex]R(x) = 31x[/tex]

Solving (a): R(200)

[tex]R(x) = 31x[/tex]

Substitute 200 for x

[tex]R(200) = 31 * 200[/tex]

[tex]R(200) = 6200[/tex]

This means that the revenue from 200 hats is 6200

Solving (b): Revenue from 3000 hats

[tex]R(x) = 31x[/tex]

Substitute 3000 for x

[tex]R(3000) = 31 * 3000[/tex]

[tex]R(3000) = 93000[/tex]

The above represents the functional notation and the revenue sale is 93000