\frac{1}{2}=21​=\,\,-\frac{3}{4}+\frac{3}{5}x−43​+53​x

Answer:

621200 mg

1.36664 Lb

Step-by-step explanation:

Given;

Cullinan diamond weighed 3106 carats.

1 Carat - 0.2 grams

Question to Answer;

How much does the diamond weigh in milligrams/pounds?

Solve;

Since 1 carat = 0.2 grams

1g = 1000 mg

1g = 0.0022 lb

Thus,

3106 ct = 0.2 * 3106g = 6212g

621.2g = 621.2 * 1000 mg = 621200 mg

621.2g = 621.2 * 0.0022 lb = 1.36664 lb

[RevyBreeze]

Answer:

The answer is 144

The value of x from the given equation is 144. Therefore, option C is the correct answer.

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

The given expression is [tex](x^{\frac{1}{8} })(x^{\frac{3}{8} })[/tex].

Using exponent formula aⁿ×aˣ=aⁿ⁺ˣ we get

[tex](x^{\frac{1}{8} })(x^{\frac{3}{8} })[/tex] = [tex]x^{\frac{1}{8} +\frac{3}{8} }[/tex]

= [tex]x^{\frac{4}{8}}[/tex]

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

The simplified expression is equal to 12.

So, [tex]x^{\frac{1}{2}}[/tex]=12

Squaring on both side, we get

x=12²

x=144

Therefore, option C is the correct answer.

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Answer:

D, 4x^2+x+2

Step-by-step explanation:

Substitute for f(x) and g(x)

2(x^2+3)+1/3*(6x^2+3x-12)

2x^2+6+2x^2+x-4

Therefore, 4x^2+x+2

Answer:

y = -3x - 4

Step-by-step explanation:

x - y - 2 = 4x + 2

x - y - 2 + y = 4x + 2 + y

x - 2 = 4x + 2 + y

x - 2 - 4x - 2 = 4x + 2 + y - 4x - 2

-3x - 4 = y

so y = -3x - 4

Answer:

  y = -3x -4

Step-by-step explanation:

Any "solve for" problem involves inverse operations. You want to "undo" what has been done to the variable of interest. Generally, we're undoing multiplication or addition.

__

It can help to simplify the equation first:

  x -(y +2) = 2(2x +1)

 x -y -2 = 4x +2 . . . . eliminate parentheses using the distributive property

To get y by itself, we can undo the addition of (x -2) by subtracting that from both sides.

  -y = (4x +2) -(x -2)

  -y = 3x +4

To "undo" the multiplication of y by -1, we can multiply by the reciprocal of that, which is -1.

  (-y)(-1) = (-1)(3x +4)

  y = -3x -4

__

Additional comment

Here, we simplified the equation first. That's not always necessary or desirable. The first step is to look at what you have and make a plan. Here, y is in parentheses, so part of the plan will be to eliminate those parentheses.

Answer:

x = 180-(30+50)

=100°

Y = 30+50

=80°

...............................................

The scale factor that the company used was 0.028

Given the following parameters

Area of truck wheel = 32411 square inches

Area of the truck after scaling = 911 square inches

The formula for finding the scale factor will be;

k = final area/original area

k = 911/32411
k = 0.028

Hence the scale factor that the company used was 0.028

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Step-by-step explanation:

Height of cylinder = 15cm

Radius of cylinder = 8cm

Volume = πr²h

= 3.14×8×8×15

=3.14×960

=3014.4 cm²

[tex]hyx^{2} =bx^{2} +hx^{2}[/tex]First you get the length PX

secondly you use the sine rule a\sin A= b\sin B=c\sin C

hence hy = 30

you take 30\sin 90=18\X

cross multiply

sin 90 × 18 = 30×X

sin 90 = 1

1×18=30X

18\30=30X\30

0.6=X

then sin~1 0.6

answer 36.8699 as angle p

then get cos 36.8699

Step-by-step explanation:

here is the answer. I just took th test

The area of the quilt that will be striped fabric is,

⇒ 420 cm²

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

This figure represents a design being added to a quilt square.

And, Malcolm wants to add this design in a striped fabric to 12 quilt squares.

Now, The figure contain a triangle and a square shape.

Hence, We get;

Area of triangle = 1/2 (Base x Height)

                         = 1/2 (5 x 4)

And, Area of square = side²

                               = 5²

Hence, Total area of figure is,

⇒ 5 × 5 + 1/2 (5 × 4)

⇒ 25 + 10

⇒ 35 square units

Hence, The area of the quilt that will be striped fabric is,

⇒ 35 × 12

⇒ 420 cm²

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Complete question is shown in figure.

A pyramid is a three-dimensional object have one common point at the top. The pyramid will have 34 faces.

A pyramid's base form determines how many faces it has. Since the bases of the prism and the pyramid in this problem are identical, we may utilise the knowledge of the prism to ascertain the number of faces on the pyramid.

Three faces of a prism meet at each vertex. Since there are 99 edges on the prism in this instance, we can divide that number by 3 to get how many vertices there are.

99 ÷ 3 = 33

The pyramid has the same number of edges as the prism since its base is identical to that of the latter. The pyramid does, however, have a second face, which is the base itself.

Therefore, the pyramid has 33 + 1 = 34 faces.

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Answer:

[tex]m=1[/tex]

Step-by-step explanation:

Given the following question:

Point A = (-7, -8) = (x1, y1)
Point B = (-5, -6) = (x2, y2)

To find the answer we are going to have to use the formula for slope or rise over run.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]m=\frac{-6--8}{-5--7} =\frac{2}{2}[/tex]
[tex]\frac{2}{2} =1[/tex]
[tex]m=1[/tex]

Which means the slope of the line that passes through the points (-7, -8), (-5, -6) is "1."

Hope this helps.

Answer:

this is the step thank you

Answer:

Step-by-step explanation:

1. What is the theoretical probability that a coin toss results in two heads showing?

25%

2. What is the experimental probability that a coin toss results in two heads showing?

50%

3. What is the theoretical probability that a coin toss results in two tails showing

0.5%

4.  What is the experimental probability that a coin toss results in two tails showing?

25%

5. What is the theoretical probability that a coin toss results in one head and one tail showing?

0.5

6. What is the experimental probability that a coin toss results in one head and one tail showing?

0.5

7. Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?

0.5

There you go. Remember you can figure these answers out by yourself if you really try. From now on ill be answering questions and trying to help other people. Please read from your lessons as they can help you a lot, Thank you.

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Step-by-step explanation:

Answer:

Each student ticket costs $8.33

Each adult ticket costs $15.34

Step-by-step explanation:

At Niagra High, Mr. Borton bought 4 student tickets and 2 adult tickets for the high school musical which cost $64. then Mrs. Gelvoria bought 3 student tickets and 3 adult tickets for the show and it cost her $72. How much are each type of tickets?​

s = cost of each student ticket

a = cost of adult ticket

Our system of equations:

4s + 2a = 64

3s + 3a = 71

-3(4s + 2a = 64) ==> -12s - 6a = -192

2(3s + 3a = 71) ==>     6s + 6a = 142

-12s - 6a = -192

  6s + 6a = 142

-6s = -50

/-6      /-6

s = $8.33 (the cost of each student ticket)

Now, let's find the cost of each adult ticket:

4s + 2a = 64

4(8.33) + 2a = 64

33.32 + 2a = 64

-33.32         -33.32

2a = 30.68

/2        /2

a = 15.34 (the cost of each adult ticket)

(x, y) ==> (8.33, 15.34)

Check your answer:

4s + 2a = 64

4(8.33) + 2(15.34) = 64

33.32 + 30.68 = 64

64 = 64

This statement is true

Hope this helps!

Answer:

C

Step-by-step explanation:

Area of a parallelogram = base times height.

The base is 14 and the height is 3, you just have to rotate the figure.

A = 14 * 3 = 42 square feet

Answer:

Sally's team found 50 balls

Step-by-step explanation:

300 balls are hidden.

300x30%x40%

=36 balls are yellow

Sally's team finds 20% of 36 and 80% of the white balls (300x30%-36).

20%x36+80%x(300x30%-36)

=7 (approximately or else they would've found 7.2 yellow balls) +80%x(90-36)

=7+43 (approximately)

=50

Answer:

you can find a radius through its volume and height. Multiply the volume by 3. For example, the volume is 20. Multiplying 20 by 3 equals 60

Step-by-step explanat                      

I hope to help you

Answer:

x = -9

Step-by-step explanation:

First rearrange the terms.

-6x - 6x +3 = 111

Add like terms

-12x + 3 = 111

Subtract 3 from both sides

-12x = 108

Divide -12 on both sides

x = -9

Answer:

c ≈ 26.39 yd

Step-by-step explanation:

    The circumference of a circle can be found by multiplying the radius by 2 by pi or by multiplying the diameter by pi.

-> Since they give us the radius, I will use the more-known equation of 2πr

[Given]

c = 2πr

[Plug-in the value of r]

c = 2π(4.2 yd)

[Simplify]

c = 8.4yd * π

[Multiply]

c ≈ 26.39 yd

No, because if you do -17/-40 you would get a positive answer of 0.425 and it would not equal -0.425.

Answer:

-1/ 9 i think?

sooo my original answer was this, but i thought of the "five more" wrong

its actually different

check the person below please ignore my answer!

Step-by-step explanation:

5 + 9x = 4 i think

then to solve you subtract 5 on both sides

9x = -1

x = -1/9

Answer:

5 > x+9= 4

OR

5(x + 9) = 4

Step-by-step explanation:

I did the first one for if you are doing inequalities

The second one is if it is a normal equation, in which would be that answer.

Please mark as Brainliest!!

Answer:

wheres the graph? picture?

Step-by-step explanation:

Answer:

C. 104

Step-by-step explanation:

First, translate 69 1/3 feet to inches. 69 1/3 * 12 = 832.

Because the lightbulbs are 8 inches apart, we can divide 832 by 8 to get 104.

Answer:

1/3

Step-by-step explanation:

Read

Answer:

121

Step-by-step explanation:

=5+6=11

=11(11)

=121

Answer:

[tex] {4}^{1} = 4 \\ because \: {a}^{1} = a \\ \: a \: is \: any \: \: real \: number[/tex]

The value of the expression 4¹ will be equal to 4.

Powers can simply be expressed in concise form using exponential expressions. The exponent shows how many times the base has been multiplied. Since 2 is the "base" and 5 is the "exponent,"

It can be represented as 2x2x2x2=25 for the number 32. This phrase should be understood as "two to the fifth power."

Given that the exponential number is 4¹. The value of the exponent will be calculated as,

E = 4¹

E = 4

From the law of exponents, the value of 4¹ will be 4.

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Large bag contains 14

30% of 14 is 3 / 10 times 14 which is 42 / 10 = 21 / 5 pounds of pretzels, in improper form, 4 and 1 / 5th of a pound or 4.2 pounds

Answer:

When f(x) = 0, there will be two 'x' values. The point where the graph crosses the positive x-axis represents the point where the cannon hits the earth.

Step-by-step explanation: