1 point
3. The value of gold is always changing. Last year, Max had a 0.2-ounce
piece of gold valued at $148.96. This year he had a 0.24-ounce piece of
gold valued at $222.84.How much had the price of gold per ounce changed
since last year? Record your answer and fill in the bubbles on your answer
document. Be sure to use the correct place value
Your answer

Answer:

              [tex]\boxed{\bold{\,f(x)=2(x-1)^2-9\,}}[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2-4x-7\\\\f(x)=2(x^2-2x-3.5)\\\\f(x)=2(\underline{x^2-2x+1^2}-1^2-3.5)\\\\f(x)=2\big((x-1)^2-4.5\big)\\\\f(x)=2(x-1)^2-9[/tex]

Vertex:  (1, -9)

Answer:

Im not sure about a but, b= 38

Step-by-step explanation

b: 90 - 52 = 38

*90 because it is a right angle

Answer:

The probability is [tex]P(|p-\^{p}| >  0.03)  =   0.0040[/tex]

Step-by-step explanation:

From the question we are told that

   The population proportion is [tex]p =  0.07[/tex]

   The mean of the sampling distribution is   [tex]\mu_p =  0.07[/tex]

   The sample size is n = 600

Generally the standard deviation is mathematically represented as

     [tex]\sigma_p  =  \sqrt{\frac{p (1 -p)}{n} }[/tex]

=>    [tex]\sigma_p  =  \sqrt{\frac{0.07(1 -0.07)}{600} }[/tex]    

=>    [tex]\sigma_p  =  0.010416 [/tex]    

Generally the probability that the proportion of airborne viruses in a sample of 600 viruses would differ from the population proportion by greater than 3% is mathematically represented as

      [tex]P(|p-\^{p}| >  0.03) =  1 - P(|p -\^{p}| \le 0.03)[/tex]

=>   [tex]P(|p-\^{p}| >  0.03)  =  1 -  P(-0.03 \le p -\^{p} \le 0.03 )[/tex]

Now  add p  to  both side of the inequality

=>   [tex]P(|p-\^{p}| >  0.03)  =  1 -  P( 0.07-0.03  \le \^{p} \le 0.03+ 0.07 )[/tex]

=>   [tex]P(|p-\^{p}| >  0.03)  =  1 -  P(0.04 \le \^{p} \le 0.10 )[/tex]

Now  converting the probabilities to their respective standardized score

=> [tex]P(|p-\^{p}| >  0.03)  =  1 -  P(\frac{0.04 - 0.07}{0.010416}  \le Z \le \frac{0.10 -0.07}{0.010416}  )[/tex]

=> [tex]P(|p-\^{p}| >  0.03)  =  1 -  P(-2.88  \le Z \le 2.88 )[/tex]

=>   [tex]P(|p-\^{p}| >  0.03)  =   1 - [P(Z \le 2.88) - P(Z \le -2.88)][/tex]

From the z-table  

       [tex]P(Z \le 2.88)  =  0.9980[/tex]

and

       [tex]P(Z \le -2.88)  = 0.0020[/tex]

So

     [tex]P(|p-\^{p}| >  0.03)  =   1 - [0.9980 - 0.0020][/tex]

=>   [tex]P(|p-\^{p}| >  0.03)  =   0.0040[/tex]

Answer:

I think your answer would be 13.5

Step-by-step explanation:

5 x 10 = 50

50 - 2 = 48

48 + 60= 108

108 / 8 = 13.5

Answer:

8/340.

Step-by-step explanation:

First thing to do is add up all of the ones. I know that it = 8, so we now have 8/. Now to figure out what the rest is... oh! I know! It's 5 x 68, which is 340, Meaning we know have 8/340.

Answer:

y = -2x + 3

Step-by-step explanation:

Answer:

Rules for Reflections

Step-by-step explanation:

hope this helps :)

Answer:

a-16= -5

Step-by-step explanation:

a-16 = -5

1.) Add 16 on both sides of the equal sign to get a by itself.

-That leaves you with.

a= 11

Answer:

x+x+x+12+x+12=156

width is 33

length is 45

Step-by-step explanation:

for for the width we will substitute it for x, and for the length we will substitute for x + 12 since the width is 12 cm less than the length. and, we know that to find the perimeter, you just have to add the widths and lengths. and since the perimeter is given the equation is:

x+x+x+12+x+12=156

width is 33

length is 45

Answer:

19

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

So first what you want to do is find how many acres you're working with. Since you know that one acre is 43,500 square feet, you can find the number of acres you're working with by dividing 80,000 theoretical square feet by your given conversion:

80,000/43,500 is 1.83908045977

After this what you want to do is divide the theoretical acres by the conversion that was given to you in the problem:

1.83908045977/.075 is 2.45210727969

Now that you have this number, you would multiply the number of corn plants that you have in order to get the theoretical number of plants that you could plant on an area of that theoretical size of 80,000 square feet:

2.45210727969  times 26,100 is 64,000 even.

The number of corn plants that could be planted on 80,000 square feet is : 64000.

An acre is a unit for expressing the area of big  shapes and objects like fields, farm lands.

Analysis:

If 1 acre is equivalent to 43500square feet, then 0.75 acre would be

0.75 x 43500 = 32625 square feet.

If 325625 square feet produce 26,100 corn plants , then 80,000 square feet would produce : [tex]\frac{80000 x 26100}{32625}[/tex]  = 64000 corn plants.

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9514 1404 393

Answer:

  C) 18  eating gummy bears

Step-by-step explanation:

The angles indicated with x-expressions are supplementary, so we have ...

  (5x) +(7x+24) = 180

  12x +24 = 180 . . . collect terms

  x +2 = 15 . . . . . . divide by 12

  x = 13 . . . . . . . . . subtract 2

Then the obtuse angle is ...

  7x +24 = 7(13) +24 = 115

__

The angle marked with a y-expression is a corresponding angle to this, so has the same measure.

  6y +7 = 115

  6y = 108 . . . . subtract 7; next divide by 6

  y = 18

Answer:

y=18

Step-by-step explanation:

5x+7x+24=180

12x+24=180

12x=156

x=13



6y+7+65=180

6y+72=180

6y=108

y=

Answer:

100

Step-by-step explanation:

160 * (5/8) = 100

Answer:

difference between irrational and rational numbers:

Rational numbers: They are numbers which can be expressed in the form of p/q and q is not equal to 0

Examples: 3=3/1 ,  0=0/1 , 17=17/1

Irrational Numbers:  They are numbers which cannot be expressed in the form of p/q where q is not equal to 0

Example: Root 2, 1. 1517825278235............... , 45.87812254.............

this is the major difference between irrational and rational numbers.

THERE ARE STILL MORE BUT THIS IS THE BASIC DIFFERENCE.

Answer:

Step-by-step explanation:

-2(x-5)=-14

-2x+10=-14

-2x=-14-10

-2x=-24

-x=12

x=-12

Answer:

$160 do you need the work?

Answer:

$160

Step-by-step explanation:

Money raised = 2/3 of 240

                      [tex]=\frac{2}{3}*240\\\\=2*80\\\\[/tex]

                     = $ 160

Answer:

No solution

Step-by-step explanation:

Solving inequalities is similar to solving equations. First let's distribute the 3 with (k-9)

[tex]3(k - 9) > 3k + 6[/tex]

[tex]3k - 27 > 3k + 6[/tex]

(Subtract 3k from both sides)

[tex] - 27 > 6[/tex]

[tex] - 33 > 0[/tex]

(Subtract 6 from both sides. You can also add 27 to both sides. You will get the same answer.)

This inequality is invalid. There are no values of k that make the inequality true.

Answer:

No solution

Step-by-step explanation:

The line parallel to y = -x has the same slope, which is -1, because parallel lines have the same slope.

So you plug 5 and 5.5 into the equation y = -x + b.

5.5 = -5 + b

Add 5 to both sides.

10.5 = b

So, y = -x + 10.5

Answer:

36 hours (1 1/2 days, 351$ )

Step-by-step explanation:

create a linear system and solve.

8.25x + 54 = 9.75x

_______________

-8.25x -8.25x

_______________

54 = 1.5x

_______________

1.5 x = 54

_______________

÷ 1.5. ÷1.5

_______________

x = 36.

if you want to know how much money they will have at this time, just substitute the x value that you solved for back into the equation

x = 36 -> 8.25(x) + 54 = 9.75(x)

8.25(36) + 54 = 9.75(36)

297 + 54 = 351

351 = 351

________________________________

David's budget >= 54$

Fatima's budget >= 0$

The required inequality is 8.25x + 54 = 9.75x

It will take 36 hours for David to have as much as Fatima.

David :

Initial saving = 54

Pay per hour = $8.25

Fatima :

Pay per hour = $9.75

Let number of hours worked = x

David's total = $8.25x + 54

Fatima's total = 9.75x

In other to have the same amount :

8.25x + 54 = 9.75x

Collect like terms :

8.25x - 9.75x = - 54

-1.5x = - 54

x = - 54 / - 1.5

x = 36

Hence, it will take 36 hours for David to have as much as Fatima.

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Answer:

idk,i need the same answer

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

x-5x+19=10+2x-3

-4x+19=10+2x-3

-4x+19=7+2x

19=7-2x

12=-2x

x=-6

Answer:

x = 2

Step-by-step explanation:

x - 5x + 19 = 10 + 2x - 3

-4x +19 = 7 + 2x

-2x               -2x

-6x + 19 = 7

      -19     -19

-6/-6x = -12/-6

x = 2

Answer:

c

9-|2x-1|=9

|2x-1|=9-9

|2x-1|=0

2x-1=0

2x=1

x=1/2

Answer:

7

Step-by-step explanation:

GCF of 14 and 21 is 7

Answer:

x= 40

Step-by-step explanation:

the way to figure out a cale factor is to divide a new side by an old side, in this case you could divide 24 by 15 to get 1.6

multiply the side congruent to x by 1.6, so 25 and 1.6

you should get 40

Answer:

0.3

Step-by-step explanation:

0.03×10= 0.3

Greater than would mean to multiply

The number is 10 times greater than 0.03 is 0.3 .

Greater than is used when a quantity or number is bigger or larger than the second or rest quantities or numbers.

According to the question

The number is 10 times greater than 0.03

i.e

As we need 10 times greater than 0.03

we will multiply 10 to 0.03

0.03 * 10 = 0.3

Hence, the number is 10 times greater than 0.03 is 0.3 .

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Answer:

1.5

Step-by-step explanation:

I'm thinking that if the number on the outside of the parentheses is doubled, then everything else on the inside will be halved.

Answer:

20 years old

Step-by-step explanation:

Given

Base Amount = $10

Additional Amount = $20

Required

Determine the number of years where the total will accumulate to $4000

This question represents Sum of an AP series.

[tex]S_n = \frac{n}{2}(2a + (n - 1)d)[/tex]

Such that:

[tex]S_n = 4000[/tex]

[tex]a = 10[/tex]

[tex]d = 20[/tex]

Substitute these values in the above formula:

[tex]4000 = \frac{n}{2}(2 * 10 + (n - 1) * 20)[/tex]

[tex]4000 = \frac{n}{2}(20 + 20n - 20)[/tex]

[tex]4000 = \frac{n}{2}(20n)[/tex]

[tex]4000 = \frac{20n^2}{2}[/tex]

[tex]4000 = 10n^2[/tex]

Divide through by 10

[tex]400 = n^2[/tex]

Take square root of both sides

[tex]20 = n[/tex]

[tex]n = 20[/tex]

Answer:

y = negative two-thirds x + 5

y = -2/3x + 5

Hope this helps :)

Answer:

y = negative two-thirds x + 5

Step-by-step explanation:

Answer:

118

Step-by-step explanation:

you should have learned this in 1st grade

Answer: 14 boxes

Step-by-step explanation:

Divide 110 by 8 and you get 13.75. You will then round up to the nearest hole number to make sure that almost all the boxes have 8 muffins in each.