Write the quadratic equation whose coefficient with x2 equal to 1 and roots are:

1/2√3 and 2√3

Answer:

400 meters for #14

Step-by-step explanation:

Because 1.9 is half of 3.8, and 1.9 is really 200 meters; all you have to do is multiply 200 meters by 2. Therefore, 400 meters.

400 meters is your answer for question #14

Answer:

The bottle of perfume A contains more glass

Step-by-step explanation:

we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four triangular faces

step 1

Find the surface area of Perfume A

[tex]SA=3^{2} +4[\frac{1}{2}(3)(2.5)]=24\ in^{2}[/tex]

step 2

Find the surface area of Perfume B

[tex]SA=2.5^{2} +4[\frac{1}{2}(2.5)(3)]=21.25\ in^{2}[/tex]

step 3

Compare the surface areas

[tex]24\ in^{2}>21.25\ in^{2}[/tex]

therefore

The bottle of perfume A contains more glass

See the attachment :)

Answer:

ok

Step-by-step explanation:

The value of x, given the equation, can be found to be (5y - 35) / 6.

To find the value of x in the equation 6x = 5y - 35, you need to isolate x.

Start with the equation:

6 x = 5 y - 35

To isolate x, divide both sides of the equation by 6:

( 6 x ) / 6 = ( 5 y - 35 ) / 6

Simplify both sides:

x = ( 5 y - 35 ) / 6

So, the value of x is ( 5 y - 35 ) / 6.

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Answer:

Step-by-step explanation:

Answer:b

Answer:

my answer it 84%

Step-by-step explanation:

i got the question correct on the test

Answer:

#1) D frequency data that can be plotted on a number line ; #2) A Sarah read twice as many chapters Wednesday as Monday, C Sarah read more than four chapters on two days, F Sarah read at least three chapters on four days, and H The total number of chapters Sarah read on the weekend was the same as the total number she read on the weekdays.

Step-by-step explanation:

#1) A line plot shows the frequencies of data.  It is displayed over a number line; this makes the best choice for the answer "frequency data that can be plotted on a number line."

#2) We can see that Sarah read 2 chapters on Wednesday and 1 chapter on Monday.  This is twice as many chapters.

She read more than 4 chapters on both Saturday and Sunday.

She read 3 or more chapters on Tuesday, Friday, Saturday and Sunday.

The total number of chapters she read on the weekend was 5+6 = 11.  The total number of chapters she read on the weekdays was 1+3+2+2+3 = 11.  These are the same.

Answer:

To answer the question for the graph and all that apply.

1,3,6,8 or I could say  A,C,F,H

both ways are correct on ed

Step-by-step explanation:

There are likely approximately 180 defective MP3 players in a shipment of 4,500 units.

The question asks how many MP3 players in a shipment of 4,500 units are likely to be defective given that a random sample of 50 MP3 players found 2 defective ones. To estimate the number of defective players in the entire shipment, we can use proportion. If 2 out of 50 MP3 players are defective, we set up a proportion to estimate the likely number of defectives in the entire 4,500 units.

Assuming the sample is representative of the whole shipment, the proportion would be:

2 (defective in sample) / 50 (sample size) = x (estimated defectives in shipment) / 4,500 (shipment size)

To solve for x, the likely number of defective MP3 players, we cross-multiply and divide:

2 / 50 = x / 4,500
50x = 2 * 4,500
50x = 9,000
x = 9,000 / 50
x = 180

Therefore, using the sample proportion, we would expect there to be approximately 180 defective MP3 players in the shipment.

the sun interior angles of a triangle must be equal to 180degrees

option A 49, 59, 72 is the only one where the sum of the angles equal to 180 degrees

The set of three angles 49,59,72 represents the interior angles of a triangle option (A) is correct.

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have:

Set of three angles:

The triangle's interior angles add up to 180°.

A.49,59,72

= 49 + 59 + 72

= 180(interior angles of a triangle)

B.28,58,62

= 28 + 58 + 62

= 148 (not an interior angles of a triangle)

C.39,89,108

= 39 + 89 + 108

= 236 (not an interior angles of a triangle)

D.45,70,85

= 45 + 70 + 85

= 200 (not an interior angles of a triangle)

Thus, the set of three angles 49,59,72 represents the interior angles of a triangle option (A) is correct.

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Answer:

Yes

Step-by-step explanation:

Example:

series of 5 1's

1 1 1 1 1

mean median and mode are all equal here

Answer:

I guess they could be equal sometimes but not always i say this because there could be a chance but im not 100% sure

The thing i wanted to teach you is....

Hey diddle diddle the medians the middle you add then divide for the mean the mode is the one that appears the most and the range is the difference between.

Step-by-step explanation:

Answer:

Step-by-step explanation:

In this type of problem it's reasonable to use a calculator for the computation.  Here, 83.31·6.2 = 516.522.  Double check to ensure that you've copied all of the possible answer choices correctly.

The value of the expression is 516.522, which corresponds to option B.

To solve the expression 83.31 * 6.2, we need to multiply the two numbers. Here is the step-by-step calculation:

Multiply 83.31 by 6.2 without considering the decimal places: 8331 * 62 = 516,522.

Count the total number of decimal places in the factors. In this case, 83.31 has two decimal places, and 6.2 has one, so there are three decimal places in total.

Place the decimal point in the result (516,522) to reflect the combined number of decimal places from the factors: 516.522.

Therefore, the value of the expression 83.31 x 6.2 is 516.522, which corresponds to option B.

The correct answer is D ) -2

Answer:

the awnser is D

Step-by-step explanation:

Answer:

Step-by-step explanation:

ΔBCE:

Use the Pythagorean theorem:

[tex]EB^2=EC^2+BC^2[/tex]

We have EC = 4cm and BC = 3cm. Substitute:

[tex]EB^2=4^2+3^2\\\\EB^2=16+9\\\\EB^2=25\to EB=\sqrt5\\\\EB=5\ cm[/tex]

BF is the diagonal of the square FEBA. The formula of a diagonal of a square with side a is:

[tex]d=a\sqrt2[/tex]

Therefore

[tex]BF=5\sqrt2\ cm[/tex]

Approximation:

[tex]BF\approx5(1.414)=7.07\ cm[/tex]

Answer:

x ≤ -27

Step-by-step explanation:

x/-9 ​≥ 3

well since theres division and we want to separate the x's and the naked numbers by themselves were going to have to multiply

x ≥ 3 x -9

x ≥ - 27  (but since theres a negative the symbol  ≥ is going to switch)

x ≤ -27

TIP: remember we always do the opposite when switching a numbers place for example if we have +9 if we switch it place to the other side its going to become -9, same thing with multiplication and division.

example:

3 + x = 5                          or           3x = 5

x = 5 - 3                                          x = 5/3

~batmans wife dun dun dun...aka ~serenitybella

The solution to the inequality (x/-9) ≥ 3 in fraction form is x ≤ -27.

The relationship between the two values which are either greater or lesser than each other but not equal is called inequality.

The primary application of inequality is to compare two numbers on a number line.

The inequality can be solved as:

(x/-9) ≥ 3

 Multiply both sides of the inequality by -9. The multiplication of a number with a negative sign changes the direction of the inequality.

The equation can be written as:

[tex]\dfrac{-9x}{-9} \leq -9(3)[/tex]

x ≤ -27

Thus, the solution to the inequality (x/-9) ≥ 3  is x ≤ -27.

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Answer:

(x + 3)(x + 4)

Step-by-step explanation:

To factor the trinomial

Consider the factors of the constant term ( + 12) which sum to give the coefficient of the x- term ( + 7)

The factors are + 3 and + 4, since

3 × 4 = 12 and 3 + 4 = 7, hence

x² + 7x + 12 = (x + 3)(x + 4)

Thus length can be x + 3 or x + 4 and

the width can be x + 4 or x + 3

Answer:

X 2 + 84 / 7 by 12

Step-by-step explanation:

Answer:

Is it too late for the answer?

Step-by-step explanation:

????????????

Answer:

See below

Step-by-step explanation:

Part A

Formula

M = 2/3 * log(E/Eo)

Givens

M = ??

E = 2 * 10^15 joules

Eo = 10^4.4

Solution

M = (2/3) * log(2 * 10^15 / 10^4.4)

M = (2/3 ) log (7.96 * 10 ^ 11)

M = (2/3) * 11.901

M = 7.934

Part B

What the question is saying is that E/Eo = 10000

You don't have to figure out exact values.

M = 2/3 * log(10000)

M = 2/3 * 4

M = 8/3 or 2 2/3 or 2.66667

If you have choices, please list them.

Answer:

A ; M = 7.267

B ; M = 2.667

Step-by-step explanation:

Formula

M = (2/3) log (E/Eo)

M = 2/3 * log (2 * 10^15/10^(4.4) )

M = 2/3 * log( 7.9621* 10^10)

M = 2/3 * 10.901

M = 7.267 on the Richter scale.

Part B

Suppose that you use Eo and your base. Eo is 10^4.4

Now the new earthquake is E = 10000 * Eo

So what you get now is M = (2/3)* Log(10000 * Eo / Eo )

M = 2/3 * log(10000)

M = 2/3 of 4

M = 8/3

M = 2.6667

What this tells you is that if the original reading was (say) 6 then the 10000 times bigger reading would 8.266667

Answer:

Mark the triangle the same on the bottom, that leaves the rectangle, both ends of the rectangle is 2.5 in. for the rest, just use a ruler.

Step-by-step explanation:

Answer:

Step-by-step explanation:

ANSWER IS 76

Answer:

17 square meters

Step-by-step explanation:

Begin by finding the area of the whole rectangle without the cut out. The area is A = l*w = 4*5 = 20.

Now find the area of the cut out and subtract it from 20.

A = l*w = 3*1 = 3

20 -3 = 17

The area of the figure is 17.

Final answer:

Carla spent two-fifths of her savings on a bracelet and had $9 left. Her original savings were $22.50, so the bracelet cost $9.

Explanation:

Carla spent two-fifths of her savings on a bracelet and had $9 left over. To determine the cost of Carla's bracelet, we need to let s represent her original savings. According to the problem, the remaining savings after purchasing the bracelet is s - (2/5)s = $9.

To solve for the cost of the bracelet, we can set up the equation (2/5)s = s - $9. By multiplying both sides by 5/2 to isolate s, we get:

s = (5/2) * ($9)

s = $22.50

So her original savings were $22.50. This means Carla spent (2/5) * $22.50 on the bracelet. Calculating this gives:

Cost of bracelet = (2/5) * $22.50

Cost of bracelet = $9

Thus, Carla's bracelet cost $9.

No one, due to cube is 3D and rectancle 2D

Best regards

Answer:

9

Step-by-step explanation:

[tex] average~rate~of~change = \dfrac{f(x_2) - f(x_1)}{x_2 - x_1} [/tex]

[tex] x_1 = 0 [/tex]

[tex] x_2 = 2 [/tex]

[tex] f(x_1) = f(0) = 0^2 + 7(0) + 10 = 10 [/tex]

[tex] f(x_2) = f(2) = 2^2 + 7(2) + 10 = 4 + 14 + 10 = 28 [/tex]

[tex] average~rate~of~change = \dfrac{f(x_2) - f(x_1)}{x_2 - x_1} [/tex]

[tex] average~rate~of~change = \dfrac{28 - 10}{2 - 0} [/tex]

[tex] average~rate~of~change = \dfrac{18}{2} [/tex]

[tex] average~rate~of~change = 9 [/tex]

Answer:

9

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

here [ a, b ] = [ 0, 2 ]

f(b) = f(2) = 2² + 7(2) + 10 = 4 + 14 + 10 = 28

f(a) = f(0) = 0 + 0 + 10 = 10, hence

average rate of change = [tex]\frac{28-10}{2-0}[/tex] = [tex]\frac{18}{2}[/tex] = 9

Subtract how much she has saved from the total

1345 - 145 = 1200

She needs to save $1,200 in 12 weeks, now divide thow much she needs to save by the number of weeks to find how much she needs to save each week:

1200 / 12 = 100

She needs to save $100 per week.

Answer:

8 hours

Step-by-step explanation:

first car: speed=40, time=(t+3), distance=s1

second car: speed=55, time=t, distance=s2

speed=distance/time

distance=speed×time

s1=40×(t+3)

s2=55×t

since the cars would travel the same distance; s1=s2

40(t+3)  = 55t

40t+120 = 55t

15t = 120

t=8

Answer:

= 18 cubic inches

Step-by-step explanation:

The volume of a cone is given by the formula;

V = 1/3 × base area × height

While that of cylinder is given by the formula;

Volume = Base area × height

Since we need the cylinder to fit exactly inside the cone, then it  means that their bases are the same and heights are the same.

Therefore;

The cone has three times less volume compared to the cylinder.

Thus;

Volume of the cylinder = Volume of cone × 3

                                       = 6 In³ × 3

                                       = 18 cubic inches

Answer:6.95

6.95= 6.95>6.841

6.8= 6.800<6.841

6.786<6.841

6.839<6.841

Answer:

6.95

Step-by-step explanation:

We can find the answer by analyzing the options and deducing which is greater or less.

That is, if we have the number 6.841, the number 6.95 must be greater because it has 9 intead of an 8, which makes it a bigger number.

We can also make a division between the original number and the number that we want to know if it is greater or less, and if the division is less than 1 it means that the number is greater, and if the division is greater than 1 it means that the number is smaller.

6.841/6.8 = 1.006 ⇒⇒ 6.8 is smaller than 6.841

6.841/6.786 = 1.008 ⇒⇒ 6.786 is smaller than 6.841

6.841/6.839 = 1.0003 ⇒⇒ 6.839 is smaller than 6.841

6.841/6.95= 0.98 ⇒⇒ 6.95 is greater than 6.841

Answer:

x = -48

Step-by-step explanation:

-12 * 4 = -48

X = -48

4*(-12)=-48.

x=smaller number

y=larger number

x+y=12

y=3x-6

Let's begin with the first equation...

x+y=12

Let's substitute...

x+(3x-6)=12

4x-6=12

Let's add 6 to both sides as we proceed to isolate x...

6+4x-6=12+6

4x=18

Let's divide both sides by 4...

(4x)/4=18/4

x=9/2=4.5---smaller number

12-4.5=7.5s larger number

Answer:

The sum of the two numbers is -18.

Step-by-step explanation:

You can work your way through the problem starting with ...

1/3 the difference of two numbers is 12

Since 3 times 12 is 36, the difference of the two numbers is 36.

Then you are told ...

the larger number is 9

so the smaller number will be 9 less the difference, or ...

smaller number = 9 - 36 = -27.

Now, you know both numbers, so you know there sum is ..

9 + (-27) = -18 . . . . . sum of the two numbers

_____

You can work it also using L for the larger number, D for the difference. Then the smaller number is (L-D) and the sum is ...

sum = L + (L -D) = 2L - D

Filling in the values given for the larger number and the difference, you have ...

sum = 2·9 - 3·12 = 18 -36 = -18 . . . . . as before

Answer:

-16 g

Step-by-step explanation:

5(-8g) + 4(6g)

-40 g  + 24 g   they are like terms so they can be added together.

-16 g

Answer:

[tex]\boxed{\bold{-16g}}[/tex]

Step By Step Explanation:

RemoveParenthesis: (a) = a

[tex]\bold{-5\cdot \:8g+4\cdot \:6g}[/tex]

Multiply: [tex]\bold{5\cdot \:8=40}[/tex]

[tex]\bold{-40g+4\cdot \:6g}[/tex]

Multiply: [tex]\bold{4\cdot \:6=24}[/tex]

[tex]\bold{-40g+24g}[/tex]

Combine Similar Elements: [tex]\bold{-40g+24g=-16g}[/tex]

[tex]\bold{-16g}[/tex]

➤ [tex]\boxed{\bold{Mordancy}}[/tex]