Two more than three times a number is six less than the product of two
and a number.

[tex] (2.3 \times 10^1) \times (7 \times 10^6)[/tex]

[tex](2.3 \times 7) \times (1 {0}^{1} \times {10}^{6} )[/tex]

[tex]16.1 \times {10}^{1 + 6} [/tex]

[tex]16.1 \times {10}^{7} [/tex]

The product of the given numbers is 1.61 × 10⁸.

Scientific notation is a way of writing a large number or small number with many digits in a simpler form using the power of 10.

For example, 30,000 can be written as 3 × 10⁴.

Given that,

We have to multiply the numbers (2.3 x 10¹) (7 x 10⁶).

The numbers in scientific notation uses exponents.

So we have to use the product rule of exponents here.

(2.3 x 10¹) (7 x 10⁶) = (2.3 × 7) × (10¹ x 10⁶)

                              = 16.1 × (10¹ x 10⁶)

We have the product rule, xᵃ . xᵇ = xᵃ⁺ᵇ

So the product is,

(2.3 x 10¹) (7 x 10⁶) = 16.1 × (10¹⁺⁶)

                              = 16.1 × 10⁷

                              = 1.61 × 10⁸

Hence the product in scientific notation is 1.61 × 10⁸.

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Answer:

5/12 - 4/5 = -23/60. You can't simplify -23/60. Hope this is right

Step-by-step explanation:

4/5= 48/60

5/12 =  25/60

25/60-48/60= -23/60

46 sqaure miles.........

Answer:

46 square miles

Step-by-step explanation:

Answer:

42 × 1/6 = 7

Step-by-step explanation:

42 multiplied by 1/6 equals 7 since 42 divided by 6 equals 7. This equation is another way to show.

Answer:

y = 2/3x +4

Step-by-step explanation:

The y intercept is where the line crosses the y axis

y intercept =4

We can find the slope using two points on the line

(0,4) and (3,6)

m = (y2-y1)/(x2-x1)

   = (6-4)/(3-0)

   = 2/3

The equation of a line in slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 2/3x +4

Answer:

y = 2/3x +4

Step-by-step explanation:

let the 2 unknown be a and b

X = 0, Y = 4 -> 4 = 0*a+b -> b = 4

Y =0, X = -6  -> 0 = -6*a + 4 -> a = -4/-6 = 2/3

-> y = 2/3x +4

Answers and Step-by-step explanations:

Let's look at the first row:

cost = _______ + _______ * (monthly payment)

The first blank should be the "down payment" because this is the initial, constant value that is paid. The second blank should be the "number of months" because this way, when multiplied by the actual amount each payment is (monthly payment), then we get the total amount paid during those months.

So, we have:

cost = (down payment) + (number of months) * (monthly payment)

Now for the second row, we just plug in numbers and variables:

335 = 50 + 6 * p

Finally, we can solve for p:

335  = 50 + 6p

6p = 285

p = $47.50

Answer:

Cost = down payment + no. of monthly payments × monthly payment

335 = 50 + 6 × p

285 = 6p

p = 47.5

Answer: G < 8

Step-by-step explanation:

G as a variable for gallons

Answer:

complementary angles

Step-by-step explanation:

If the measures of two angles add up to 90 then they are complementary angles

Answer:

median:8 mean:199 that is all i know i might be wrong

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

0 1 1 3 3 3 4 5 7

median= 3

Q1= 1

Q3= 4.5

4.5-1= 3.5

Answer:3.5

0,1,1,3,3,3,4,5,7

Answer:

the inequality is 3+7(x)<24

x=x < 3 2/7

Step-by-step explanation:

because...

3 + 7x < 26

7x < 23

x < 23/7

x < 3 2/7

Answer:

The range is different. (Last option)

Step-by-step explanation:

Since the graph was reflected, the range will change since it is no longer a minimum amount but a maximum amount that it will reach. The domain will continue to stay the same because the x values it will reach are still all real numbers.

Answer:

-8

a positive number multiplied or divided by a negative number will always = a negative number.

Answer: i-

Step-by-step explanation:

Answer:

Yes, lines CD & AB are perpendicular

Step-by-step explanation:

AB slope: y = -12/8x + 7

CD slope: y = 6/9x - 6

Once the slopes are simplified:

AB: -3/2

CD: 2/3

Hope this helps!

Answer:

d. no solution

Step-by-step explanation:

y=2x-3

2x=y-3

y=2x+3

Since these are two distinct parallel lines (same slope), they will never meet. Hence, no solution

Answer:

No solution :)

Step-by-step explanation:

1. 5

2. 7-3 root 3

3. 6

4. 4.24

5. 5.76

First, I need to decide what equation this is like.

I believe this is y=mx.

We know that x is typically the input, and m is the constant function.

Y is the output.

So the original function may have been y=200x.

The only difference is now we've been given something to apply to the equation, in place of x.

2. Imagine a cloning machine. Whatever you put in, you get a copy of, and the original thing you put in. Its function would be y=2x. Let's pretend we decided to put three things in; 3 would go where x is.

Y would be the result of 3 copies and their originals, or 2(3).

(6=2(3))

Now, when someone else decides to use the cloning machine, they may put any number in, but the only properties that will change are y and x, not m.

The function will remain y = 2x. Any number could go in place of x, and multiplying x by 2 will give you the y. As long as you have a different value for x, the y will never be the same.

3. So now we have an understanding of what it means, we see that we have been given an x value to insert; an input.

A more practical example could be someting with money. This won't be entirely realistic, because we are dealing with a fraction of a number and another large number.

4. I decided to go with flour. I wanted the 200 to represent pennies, or cents. Before I landed on this, I looked up the cost of flour per pound. I found that the average is .43 dollars, which isn't terribly close to two dollars. But maybe the flour is high quality, so we can stick with that.

5. Seeing that this equation, y=200x, means we are charging 200 cents, or two dollars, we can write a problem from here.

Sylvia is in charge of selling home-harvested flour from an organic farm. She charges two dollars per pound of flower. Today, her next-door neighbors hope to buy a ninth of pound of flour, and they insist on paying with pennies. How many pennies do they need to pay for their order?

Let me know if this helped, or if you have any questions!

Answer:

Hello,

Answer : C.

Step-by-step explanation:

The whole number is X.

5 + 2 X < 20

2 X < 15

X < 7.5

X = 1 or X = 2 or X = 3 or X = 4 or X = 5 or X = 6 or X = 7

Answer:

Step-by-step explanation:

Rule for the transformations has been given as,

[tex]T_{(5, -0.05)o\text{R}(0, 180)}(x,y)[/tex] defines the rules as the translation by 5 units right and 0.5 units down followed by rotation of the triangle by 180° about the origin.

In other words,

Rule for translation:

F(x, y) → F"(x + 5, y - 0.5)

Followed by the rotation of 180° about the origin,

Rule of rotation,

F"(x', y') → F'(-x, -y)

Following these rules coordinates of the new triangle F'G'H' can be obtained.

Answer:

[tex]-\dfrac{11}{12}[/tex]

Step-by-step explanation:

[tex]\dfrac{\frac{5}{8}+\frac{3}{4}}{\frac{-2}{3}-\frac{5}{6}}[/tex]

Find common denominators:

[tex]\dfrac{\frac{5}{8}+\frac{6}{8}}{\frac{-4}{6}-\frac{5}{6}}=[/tex]

[tex]\dfrac{\frac{11}{8}}{\frac{-9}{6}}=[/tex]

[tex]\dfrac{11}{8}\cdot -\dfrac{2}{3}=-\dfrac{11}{12}[/tex]

Hope this helps!

Answer:

If the graphs are parallel they are porportional

Step-by-step explanation:

Answer:

The best way to show and explain direct proportional relationships is by graphing two sets of related quantities. If the relation is proportional, the graph will form a straight line that passes through the origin.

Step-by-step explanation:

Please mark me most brainly... :)

Answer:

X = 6

Step-by-step explanation:

Look at the attachment

Answer:

30

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

In 50 years there'll be approximately 3582 elephants.

Step-by-step explanation:

If they are decreasing at a rate of 9% per year, it means it's population by year is:

population(0) = 400000

population(1) = population(0)*(100% - 9%) = population(0)*(91%)

population(2) = population(1)*(91%) = population(0)*(91%)*(91%) = population(0)*(91%)²

population(3) = population(2)*(91%) = population(0)*(91%)²*(91%) = population(0)*(91%)³

And so on, so the number of population as years passes is:

population(n) = population(0)*(91/100)^n

In this case we want to know the population of elephants when n = 50, so we have:

population(50) = 400000*(0.91)^50 = 3582.033

In 50 years there'll be approximately 3582 elephants.

Answer:

What is the length of Side X Z?

✔ 5

What is the length of Size Y Z?

✔ 6

The length of side XZ is 5 units.

The length of side YZ is 6 units.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

To find the length of side XZ, we can use the distance formula, which is:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Substituting the coordinates of X (-2, 4) and Z (3, 4), we get:

[tex]d(XZ) = \sqrt{(3 - (-2))^2 + (4 - 4)^2}\\= \sqrt{5^2 + 0^2}\\= \sqrt{25}\\= 5[/tex]

The length of side XZ is 5 units.

To find the length of side YZ, we can again use the distance formula with the coordinates of Y (3, -2) and Z (3, 4):

[tex]d(YZ) = \sqrt{(3 - 3)^2 + (4 - (-2))^2}\\= \sqrt{0^2 + 6^2}\\= \sqrt(36)\\= 6[/tex]

The length of side YZ is 6 units.

Thus,

The length of side XZ is 5 units.

The length of side YZ is 6 units.

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