100 POINTS !!! how long would it take to spend a trillion dollars if i spent 10 million a day?

The measure of side HI is 10.74 for the triangle EFG which is similar to HIJ.

Similar triangles are those triangles which have corresponding sides in proportion to each other and the corresponding angles of two triangles are equal to each other. Similar triangles look the same but they differ in terms of the sizes of the two triangles.

In short, If two triangles are similar that means,

All corresponding angle pairs of triangles will be equal.

All corresponding sides of triangles will be proportional.

Now, it is given in the question that ΔEFG is similar to ΔHIJ then, their corresponding sides will be in proportion.

⇒ GE/EF = HJ/HI

⇒ 19/34 = 6/HI

⇒ HI = 6 x 34/19

⇒ HI = 10.74

Therefore, the measure of side HI is 10.74.

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The equation x + 7 = 2 will have the value of x as 5.

We are given the equation:

x + 2 = 7

We need to solve the equation to find the value of x.

We will first subtract 2 from both the sides:

x + 2 - 2 = 7 - 2

So, subtracting 2 from both the sides, we get that:

x = 5

the value of x for the equation will be 5.

Therefore, the equation x + 7 = 2 will have the value of x as 5.

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Answer:

g=−28

Step-by-step explanation:

-74 = g/7 + -70

Let's solve your equation step-by-step.

−74=g/7−70

Step 1: Simplify both sides of the equation.

−74=g/7−70

−74=1/7g+−70

−74=1/7g−70

Step 2: Flip the equation.

1/7g−70=−74

Step 3: Add 70 to both sides.

1/7g−70+70=−74+70

1/7g=−4

Step 4: Multiply both sides by 7.

7*(1/7g)=(7)*(−4)

g=−28

See attachment for the graph and the function is a continuous function.

The function definition is given as:

f(x) =  [ x-4 if x < 2

         [-2x+2 if x ≥2

The above function is a piecewise function.

So, we plot each function by its domain

Having said that, the next step is to plot the graph of the functions in f(x) according to their domain

See attachment for the graph

Also, the function is a continuous function.

This is so because there is no break in the function value i.e. domain and range are the set of all real values

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Answer:

x=44

Step-by-step explanation:

x32=10+x/2

Multiply the 2 from x over 2 to reverse the division equation.

2*x32=10+x/2*2

That results in 2 multiplying 32x and 2 multiplying the 2 in x over 2.

Because multiplication is the reverse of division, the 2's will cancel out and reduce x over to 2 to simply x.

2*32 is 64, include the x before the 64 just like the given equation exemplifies with the x before the 32.

The equation looks like the following once put together: x64=10+x

Subtract the x from the 10+x side of the equation underneath the x64.

x64=10+x

-x          -x

Which equals x63=10.

To receive the answer to this question, you have to divide the 63 on both sides.

63 divided by 63x leaves you with just the x.

63 divided by 10 leaves you with 6.3 in decimal form.

Thus, x equals 6.3.

To check if it's right, insert 6.3 for both x's.

(6.3)*32=10+(6.3)/2

Solve.

201.6=10+3.15

201.6=13.15

Clearly, this doesn't work.

So, I'm assuming you actually meant: 32=10+x/2.

Hence, you would multiply 2 on both sides.

2*32=10+x/2*2

We've established that 32*2 is 64 and the 2's would cancel out.

64=10+x

Subtract the 10 on both sides.

54=x

To see if this one is correct, plug in 54 to the x.

32=10+(54)/2

Divide 54 by 2 which equals 27.

32=10+27

32=37

Nope, that doesn't work either.

Thus, instead of multiplying by 2, we would first need to subtract the 10.

32=10+x/2

-10 -10

32-10 is 22 and it would leave the other side with just x over 2.

22=x/2

Now, we would have to multiply the 2 on both sides.

22*2=44 and x/2*2 gives us x.

So, 44=x.

Let's check.

32=10+(44)/2

32=10+22

32=32

Finally, we have our match.

In conclusion, x=44.

Hope this helps.

Answer:

[tex] \sf \: 19c + 30 [/tex]

Step-by-step explanation:

Given expression,

→ 1(19c + 30)

Let's simplify the expression,

→ 1(19c + 30)

→ 1(19c) + 1(30)

→ (1 × 19)c + (1 × 30)

→ (19)c + (30)

→ 19c + 30

Hence, answer is 19c + 30.

The coordinates of the point on the directed line segment will be (1, -6).

Let A (x₁, y₁) and B (x₂, y₂) be a line segment. Then the point P (x, y) divides the line segment in the ratio of m:n. Then we have

x = (mx₂ + nx₁) / (m + n)

y = (my₂ + ny₁) / (m + n)

The coordinates of the point on the directed line segment from (-1, -8) to (5, -2). The ratio is 1: 2.

Then the coordinates of the point will be

x = (1(5) + 2(-1)) / (1 + 2)

x = (3 / 3)

x = 1

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

y = - 18 / 3

y = - 6

The coordinates of the point on the directed line segment will be (1, -6).

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Answer: 45 yrs old

Step-by-step explanation:

Car A  = 9 yrs old

Car B = X yrs old

The ratio for the cars are

Car A : Car B

or

2 : 5

You want to make it easier to read so you make both the ratio number and the given age number (9) the same number.

Multiply Car A age by 2 to make it 18 and the Ratio 2 by 9 to make it 18. This makes them the same number. Since you did this to one side, you have to do it on the other side by multiplying the 5 by 9 which is 45.

Your new ratio is now

18 : 45

This means Car B is 45 yrs old

Answer:

17

Step-by-step explanation:

[tex]\sf |-3d-6|+|-5-d^2| \quad for\:\: d = -3[/tex]

Given expression:

[tex]\sf |-3d-6|+|-5-d^2|[/tex]

substitute d = -3

[tex]\sf |-3(-3)-6|+|-5-(-3)^2|[/tex]

simplify following inside parenthesis

[tex]\sf |9-6|+|-5-9|[/tex]

simplify by combining integers

[tex]\sf |3|+|-14|[/tex]

if |-a| or |a| then equals to a

[tex]\sf 3+14[/tex]

evaluate:

[tex]\sf 17[/tex]

Answer:

17

Step-by-step explanation:

Given expression:

[tex]|-3d-6|+|-5-d^2|[/tex]

To evaluate for d = -3, substitute d = -3 into the expression:

[tex]\implies |-3(-3)-6|+|-5-(-3)^2|[/tex]

[tex]\textsf{Apply exponent rule} \quad a\cdot a=a^2:[/tex]

[tex]\implies |(-3)^2-6|+|-5-(-3)^2|[/tex]

[tex]\textsf{Apply exponent rule} \quad (-a)^2=a^2:[/tex]

[tex]\implies |3^2-6|+|-5-3^2|[/tex]

[tex]\implies |9-6|+|-5-9|[/tex]

Subtract the numbers:

[tex]\implies |3|+|-14|[/tex]

[tex]\textsf{Apply absolute rule} \quad |a|=a, \quad a\geq 0[/tex]

[tex]\implies 3+|-14|[/tex]

[tex]\textsf{Apply absolute rule} \quad |-a|=a, \quad a > 0[/tex]

[tex]\implies 3+14[/tex]

Add the numbers:

[tex]\implies 17[/tex]

Statistical considerations for the use of composite health-related quality-of-life scores in randomised trials

This is a research paper whose author is Andrew J. Vickers.

Abstract:

Conclusions:

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The number of 8-inch long pieces of ribbon that the other class cut is 9.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given that Students in 3 art classes cut 728 inches of ribbon into 8-inch long pieces. Therefore, the number of ribbon that 3 classes together cut is,

Number of ribbon cut by 3 classes together = 728 inches / 8 inches = 91

Further, it is given that two of the classes together cut 656 inches of ribbon. Therefore, the number of ribbon that 2 classes together cut is 656.

Number of ribbon cut by 2 classes together = 656 inches / 8 inches = 82

Now, the number of  8-inch long pieces of ribbon that the other class cut can be written as,

Number of pieces cut by other class

= Number of ribbon cut by 3 classes together - Number of ribbon cut by 2 classes

= 91 - 82

= 9

Hence, the number of 8-inch long pieces of ribbon that the other class cut is 9.

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Each pound of brand B costs 0.33 dollars less than each pound of brand A.

Here we need to find the cost per pound for both brands, to get that, we need to get the quotient between the costs and the number of pounds.

For brand A the cost is $37.80 and you get 35 pounds, then the cost per pound is:

A = $37.80/35 = $1.08

Then each pound for brand A costs 1.08 dollars.

Now let's do the same for brand B, the cost is $33.75, and you get 45 pounds, then the cost per pound is:

B = $33.75/45 = $0.75

Then each pound for brand B costs 0.75 dollars.

So brand B is cheaper, and the difference is:

1.08 dollars -  0.75 dollars = 0.33 dollars.

Each pound of brand B costs 0.33 dollars less than each pound of brand A.

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Answer:

x = 1/3

Step-by-step explanation:

•3x - 1 = 1 - 3x *group like terms*

•3x + 3x = 1 + 1 *remember whenever you transpors the sign changes*

•6x/6 = 2/6

• x = 1/3

ieiejeieieiweisns xx xnsiwiwksniz

Answer:

A

Step-by-step explanation:

Answer:

Exact Form --  -7/8   Decimal Form --  -0.875

Step-by-step explanation:

I Didn't Now If U Wanted It Explained So...

Answer: -7/8

Step-by-step explanation:

convert from mixed number to fraction:

-5/2 ÷ 20/7

use the fraction rule

[tex]\frac{a}{b}[/tex]÷[tex]\frac{c}{d} = \frac{a}{b}[/tex]×[tex]\frac{d}{c}[/tex]

-5/2 x 7/20

cross cancel

- 1/2 x 7/4

from there multiply numerators together and denominators together

(-1*7) / (2*4)

-7/8

Using it's concept, the range of the function f(x) = -x + 5 in the domain [-3,2] is [3,8], and the graph is given at the end of the answer.

The range of a function is the set that contains all possible output values of the function for a given domain(set of input values). In a graph, the range is given by the vertical axis, that is, by the values of y.

From the graph shown at the end of the answer, y assumes values between 3 and 8, hence the range is of [3,8].

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We can use inequality, 24. |m| greater than or equal to 10 then the possible to value is =  |14|.

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Based on the given conditions, formulate,

24. |m| greater than or equal to 10

So, we can write,

24 + m ≥ 10

m ≥ 10 - 24

We can sum or difference,

m ≥ -14

Then,

|m| ≥ |-14|

Hence,

|m| ≥  |14|

Therefore,

24. |m| greater than or equal to 10 then the possible to value is =  |14|.

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Two column proof is a way to portray proofs in geometry.A two column proof always has two columns, one for statement and the other for reason.

The rules of a two column proof are, every statement should be numbered, every statement should have a reason. There is no order for the statements but it is better to maintain logocal order.Reasons for the statements are theories, previously proved theorems that justify the statement.

A,B,C,D are on a line and we have to prove that if AB=CD then AC=BD

Statements                                                  Reasons

1.A,B,C,D are collinear                               1.given

2.AB=CD                                                     2.given

3.BC=BC                                                     3.reflexive

4.AB+BC=BC+CD                                       4.adding 2 and 3

5.AB+BC=AC and BC+CD=BD                  5. Segment addition

6.AC=BD                                                     6.Substitution

Thus it is proved by two column proof that if AB=BC then AC=BD

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Answer:

8456/1000 Is the fraction of 8.456

Answer:

1057/125

Just write the number in a calculator and press equal. It'll give you the number in fraction

Answer: 3x=13

Step-by-step explanation:

The person is blind. They did what they were supposed to except the fact that they didn't multiply the 8 by the -1.

Answer: The error is in step 3

Explanation:

In step 2, they multiplied both sides by 8 to clear out the fractions. In step 3, they forgot to distribute the 8 to each term inside the parenthesis.

This is what the steps should look like

[tex]\frac{3\text{x}}{8}-1=\frac{5}{8}\\\\\\8\left(\frac{3\text{x}}{8}-1\right)=8\left(\frac{5}{8}\right)\\\\\\3\text{x}-8 = 5\\\\\\3\text{x} = 13\\\\\\\text{x} = \frac{13}{3}\\\\\\[/tex]

In step 4, we added 8 to both sides. Afterward, divide both sides by 3 to fully isolate x.

The improper fraction 13/3 is the same as the mixed number 4 & 1/3.

The Perimeter of polygon ABCD = 21.6 units.

The perimeter of figure ABCD = sum of all its sides = AB + BC + CD + AD.

To find each of the sides, apply the distance formula, d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

A(-5, 5)

B(0, 3)

C(-2, -2)

D(-7, 0)

AB = √[(0−(−5))² + (3−5)²]

AB = √29

AB ≈ 5.4 units

BC = √[(0−(−2))² + (3−(−2))²]

BC = √29

BC ≈ 5.4 units

CD = √[(−7−(−2))² + (0−(−2))²]

CD = √29

CD ≈ 5.4 units

AD = √[(−7−(−5))² + (0−5)²]

AD = √29

AD ≈ 5.4 units

The Perimeter of polygon ABCD = 5.4 + 5.4 + 5.4 + 5.4 = 21.6 units.

Therefore, the Perimeter of polygon ABCD = 21.6 units.

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The abbreviated formula is -4xy (5x(x-y) - y(4x + y)).

The answer to the question is that common words outside of the brackets can be used to simplify the supplied equation.

Therefore,

Required expression is -4xy(5x2 - 9xy -y2), which is equivalent to -4xy(5x2 - 5xy - 4xy -y2).

The final formula will be: -4xy(5x(x-y) - y(4x + y)).

Therefore, the abbreviated formula is: -4xy(5x(x-y) - y(4x + y)).

In mathematics, simplification is a technique that makes a complex equation simpler in a less complex way. This approach makes expression calculation possible.

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Answer:

The true statements are the 1st, 2nd, and 4th statement.

in fig. 3.1 the value of  x  is 20° , in fig. 3.2 the value of  x  is 40° ,  in fig.  the value of  3.3 x  is 10° ,  in fig. 3.4 the value of  x  is 120°.

In planar geometry, an angle is a shape made up of two rays or lines that share an endpoint. The English word "angle" derives from the Latin word "angulus," which means "corner." The vertex and the two rays are referred to as the sides of an angle, respectively, and are the shared termini of two rays.

3.1

straight lines makes an angle of 180° thus ,

              x + 2x + 120 = 180

                3x = 60

                  x = 20°

3.2

    sum of the angles of triangle is = 180°

     105 + 35 + x = 180

      140 + x = 180

       x = 40°

3.3

       since it is an isoceles triangle so the opposite angles to equal sides are equal

140 + 4x = 180

4x = 40

x = 10°

3.4

parallel  line theorem  state that alternate angles are equal

so ,

    180= x + 60

x = 120 °

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Answer: (1/75)

Step-by-step explanation:

[{6*(10^4)*(3^3)}/{(6^5)*(5^6)}]

= (1/75)

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{6\times10^4\times3^3}{6^5\times5^6}}[/tex]

[tex]\mathsf{= \dfrac{6\times10\times10\times10\times10\times3\times3\times3}{6\times6\times6\times6\times6\times5\times5\times5\times5\times5\times5}}[/tex]

[tex]\mathsf{= \dfrac{6\times100\times100\times9\times3}{36\times36\times6 \times25\times25\times25}}[/tex]

[tex]\mathsf{= \dfrac{6\times 10,000\times9\times3}{1,296\times6 \times 625\times5}}[/tex]

[tex]\mathsf{= \dfrac{60,000\times 27}{7,776\times 15,625}}[/tex]

[tex]\mathsf{= \dfrac{1,620,000}{12,150,000}}[/tex]

[tex]\mathsf{= \dfrac{1,620,000\div 1,620,000}{12,150,000\div1,620,0000}}[/tex]

[tex]\mathsf{= \dfrac{1}{75}}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{\dfrac{1}{75}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

Uhh the answer should be x^3 + y^3 + z^3 for k

Step-by-step explanation:

That's what it says in question, which is the answer.

Pls brainlieset :0?