Ariana shaded parts of the hundredths model below to represent the product of two numbers . Which equation does the model represent?

Answer:

The correct answer is 1 for the first part, and 12n+8 for the second part.

Step-by-step explanation: I got them wrong for you guys. Edge 2021.

The product of the expression given is 12n + 8.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The given expression is ([tex]\frac{8}{6n-4}[/tex]) . (9n² - 4)

Multiplying the numerators together,

([tex]\frac{8}{6n-4}[/tex]) . (9n² - 4) = [8 (9n² - 4)] / [6n - 4]

                         = {8 [ (3n)² - (2)² ] } / {6n - 4}

We have an algebraic identity, a² - b² = (a + b) (a - b)          

Using this identity (3n)² - (2)² = (3n + 2) (3n - 2)

And the expression in the denominator, 6n - 4 = 2 (3n - 2)

([tex]\frac{8}{6n-4}[/tex]) . (9n² - 4) = [8 (3n + 2) (3n - 2)] / [2 (3n - 2)]

The expression 3n - 2 gets cancelled as it lies in both numerator and denominator.

([tex]\frac{8}{6n-4}[/tex]) . (9n² - 4) = [8(3n + 2)] / [2]

                         = 4 (3n + 2)      

                         = 12n + 8

Hence the product is 12n + 8.

Learn more about Expressions here :

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Answer:

g(x) = 3(x - 5)^2 + 6

Step-by-step explanation:

(x - k) moves it to the right

8 - 2 moves it 2 down

Given:

An exponential equation passes through the points (0,4) and (2,9).

To find:

Exponential equation that passes through the given points.

Solution:

Let the required exponential function is:

[tex]y=ab^x[/tex]           ...(i)

The function passes through the points (0,4) and (2,9). It means the above equation must be true for these points.

[tex]4=ab^0[/tex]

[tex]4=a(1)[/tex]

[tex]4=a[/tex]

And,

[tex]9=ab^2[/tex]

Substituting [tex]a=4[/tex], we get

[tex]9=(4)b^2[/tex]

[tex]\dfrac{9}{4}=b^2[/tex]

[tex]\pm \sqrt{\dfrac{9}{4}}=b[/tex]

[tex]\pm \dfrac{3}{2}=b[/tex]

In an exponential function b>0. So, [tex]b=\dfrac{3}{2}[/tex].

Putting [tex]a=4,b=\dfrac{3}{2}[/tex] in (i), we get

[tex]y=4\left(\dfrac{3}{2}\right)^x[/tex]

Therefore, the required exponential function is [tex]y=4\left(\dfrac{3}{2}\right)^x[/tex].

Interpreting as: circle 8.5 inches.

Assuming

"circle"

is a geometric object

circle | radius 8.5 inches

Equation:

(x - x_0)^2 + (y - y_0)^2 = 72.

(assuming center (x_0, y_0))

Properties:

diameter | 17 inches

area enclosed | 227 in^2 (square inches)

circumference | 53.4 inches

answer is D. 17/C

Answer: I think the perimeter is 17ab4

Step-by-step explanation:

Answer:

the answer is 1-x5

Step-by-step explanation:

10x5 6x7+92 j0ll

Answer:

the length of the hypotenuse must be 10.

Step-by-step explanation:

This is a right triangle, so we can apply the Pythagorean Theorem.

6² + 8² = 10²   so the length of the hypotenuse must be 10.

Answer:

D) 98/280 = p/100

Step-by-step explanation:

Since p is the missing percentage, it has to be OVER 100, so C is eliminated.

Total:

182 + 98 = 280

Spotted sheep probability:

98/280 = 0.35 or 35%

To check:

[tex]\frac{98}{280} =\frac{p}{100} \\\\280p=9800\\x=35[/tex]

Answer:

4 units count the boxes from a to b and that's 4

Answer:

[tex]Area = 45.82m^2[/tex]

Step-by-step explanation:

Given

[tex]d = 10m[/tex] --- diameter

[tex]\theta = 210^\circ[/tex]

Required

Determine the area of the sector

The ares of the sector is calculated as:

[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]

Where

[tex]r = \frac{d}{2}[/tex]

This gives:

[tex]r = \frac{10m}{2} = 5m[/tex]

So, we have:

[tex]Area = \frac{210}{360} * 3.142 * 5^2[/tex]

[tex]Area = \frac{210}{360} * 78.55[/tex]

[tex]Area = \frac{210 * 78.55}{360}[/tex]

[tex]Area = \frac{16495.5}{360}[/tex]

[tex]Area = 45.82m^2[/tex]

Answer:

The value of cos 45° is equal to 1/√2

Answer:

Its 1/2

Step-by-step explanation:

I just took the test

Answer:

-4. (e) (2-7)(5–3)+32. (-5)(2) +9. -10+9. -8710. 913 - 12 - 13. Ex: Evaluate 4x-7 when x=5. 4(5)-7 ... Ex: In the following exercise we show how two linear expressions are ... equivalency of the two expressions you determined to be equivalent above? ... Ex: Determine an expression that is equivalent to 10x+15? lox+1. 5(2X+3).

Step-by-step explanation:

Here is my notes hope it helped

Answer:

Isosceles and Right

Step-by-step explanation:

An Isosceles Right Triangle is a right triangle that consists of two equal length legs. Since the two legs of the right triangle are equal in length, the corresponding angles would also be congruent. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent.

Answer:

Isosceles and right

Step-by-step explanation:

We have a picture of triangle and are asked to name it, look at definitions below :

Isosceles - Geometrical figure with three sides and three angles

Right - Triangle where one angle is a right angle (90°)

Scalene - Triangle where all three sides have different lengths

Acute - Triangle where all three sides are less than 90°

If we look at the triangle, we can tell that it has three sides and three angles, therefore isosceles must be in one of the answer choices. Crossing out the options scalene and acute / scalene and right.

Now we have two options and we need to determine whether this triangle is an acute triangle or is a right triangle.

To figure out so we can look at the angle in the bottom left, which when measures equals to 90°. Therefore making it a right triangle and crossing out the other option.

Our answer left is Isosceles and Right.

Answer:

15 times

Step-by-step explanation:

50% of the time, 50% of 30=15

Answer: 15 times

Step-by-step explanation:

A coin has a 50/50 chance to get either heads or tails. 50% of the time it's heads, 50% is tails. So, if you tossed a coin 30 times, you would expect the coin to land on the tail 15 times because 30 / 2 = 15.

Answer:

-5x-1/6=3/2

-5×1/6+1/6=3/2+1/6

-5×÷5×=10/6/-5x

x=-10/30

Answer:

x ≤ 10

Step-by-step explanation:

2x-6-5 ≤ 9

2x-11 ≤ 9

2x ≤ 20

x ≤ 10

Answer:

x = 20

Step-by-step explanation:

Answer:

maybe is

Step-by-step explanation:

[tex] \sqrt{481} [/tex]

Answer:

10 miles

Step-by-step explanation:

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

6^2 + 8^2

36 + 64 = 100

square root = 10

Answer:

The rate of change of f(x) with respect to x is 1/4

Step-by-step explanation:

What this question simply ask is to find the slope of the line that passes through the two points

to find this, we use the slope equation

we have this as;

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

(x1,y1) = ((-15,-3)

(x2,y2) = (-7,-1)

m = (-1 + 3)/(-7 + 15) = 2/8 = 1/4

Answer:

2/10 on the first draw and 1/9 on the second draw

Step-by-step explanation:

In the first draw, 2 marbles are yellow out of 10, but on the second draw, you don't replace a yellow marble leaving 1 yellow marble out of 9 total marbles in the bag.

Answer:

k

Step-by-step explanation:

Answer:

B. y = [x] + 3

Step-by-step explanation:

The answer to this graph would be

B. y = [x] + 3

This is because the graph is translated up by 3 units. Such that a value of 0 passed into x would give us a y value of 3 on the graph, which is represented as a black dot. For a value of -4 passed as x, the largest integer that is less than -4 would be -4 itself and if we add 3 to it due to following this function, we get a y value of -1 which is what is represented in the graph.

Mass = density x volume

Mass = 178 x 25 = 4,450 grams