Simplify a^7 b^2 a^-9
Select one:
O a. a^2/ b²
O b. a^8 b^2
O c. a^2 b^2
O d. b^2/a ²

The expression that represents the statement "four less than the product of 2 and a number g" is 2 g - 4.

We are given a statement:

four less than the product of 2 and a number g

We need to form an expression to represent that statement.

An expression is a combination of variables and constants by using the various operations of mathematics like addition, subtraction, division and multiplication.

So, first we will find the product of 2 and a number g.

This is:

2 × g = 2 g

Now, we will subtract 4 from the expression:

2 g - 4

Therefore, the expression that represents the given statement "four less than the product of 2 and a number g" is 2 g - 4.

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Answer: there are 6 servings

Step-by-step explanation:

[tex]\displaystyle\\6\frac{3}{4}:1\frac{1}{8} =\\\\\frac{6*4+3}{4} :\frac{1*8+1}{8} =\\\\\frac{24+3}{4}:\frac{8+1}{8}=\\\\\frac{27}{4}:\frac{9}{8}=\\\\\frac{27}{4}*\frac{8}{9} =\\\\ \frac{27*8}{4*9} =\\\\\frac{3*9*4*2}{4*9} =\\\\3*2=\\\\6[/tex]

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]vertex \begin{cases} x=4\\ y=7 \end{cases}\implies y=a(x-4)^2 +7~\hfill \textit{we also know that} \begin{cases} x=6\\ y=19 \end{cases} \\\\\\ 19~~ = ~~a(6-4)^2 +7\implies 12=a(2)^2\implies \cfrac{12}{(2)^2}=a\implies 3=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\LARGE \begin{array}{llll} y=3(x-4)^2 + 7 \end{array}} ~\hfill[/tex]

Answer:

0.15 miles per minute or 9 miles per hour

Step-by-step explanation:

Answer:

1.25 a pound

Step-by-step explanation:

if it was 1.20 per pound it would be less money

The value of the algebraic expressions is 59.

According to the statement

We have to find that the value of the expression.

So, For this purpose, we know that the

Algebraic expression is, a symbol or a combination of symbols used in algebra, containing one or more numbers, variables, and arithmetic operations

From the given information:

5(7-4)^2 + 3 + 11

Then we have to solve it with bodmas rule.

Then

5(7-4)^2 + 3 + 11

Firstly solve the bracket

5(3)^2 + 3 + 11

Then multiply the terms

5*9 + 3 + 11

Then add the terms

45+14

59.

So, The value of the algebraic expressions is 59.

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The expression that is equivalent to negative three raised to the fourth power divided by negative three raised to the second power is (-3⁴) / (-3²)

Expression:

Expressions are the mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given,

Negative three raised to the fourth power divided by negative three raised to the second power.

Here we need to find the expression for this statement.

First, we have to divide the statement into two like,

"Negative three raised to the fourth power"

It can be written as,

=> (-3⁴)

And the for the next part,

"Negative three raised to the second power."

It can be written as,

=> (-3²)

Now we have to divide these two terms, the we get,

=> (-3⁴) / (-3²)

Therefore, the expression is (-3⁴) / (-3²).

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Answer:

Step-by-step explanation:

-5 = n - 3

- 5 + 3 = n

-2 = n

--------------

check

-5 = -2 - 3

-5 = -5

the answer is good

The domain of the function is the set of all real values

The equation of the function is given as:

f(x) = |2x + 5| + 3

The above function is an absolute value function

All absolute value functions can take any value as their input

This means that the given function can take any value as its input

Hence, the domain of the function is the set of all real values

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The correct option is (C) 45°

The measure of angle ∠OCA = 45°.

A circle is a depiction with no sides or vertices.

It includes a radius as well as a center. The center is the point from which all other points just on circle are equidistant, and the distance between them equals the radius.

Let AC equal the tangent to the circle with center O.

OA ⊥ AC   ....(The tangent has always been perpendicular to the radius.)

As, it is given that ∠OAC = 90° and ΔOAC is isosceles triangle.

Thus, ∠O = ∠C = x (say)

Now, using the triangle's angle sum property. We have it,

90° + x + x= 180°

On simplification;

x = 45°

Thus, the value of angle ∠OCA is 45°.

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The correct question is-

'O' is a centre of a circle, AC is a tangent to a circle at point A. If ΔOAC is an isosceles triangle, then find the measure of  ∠OCA

(A) 75°

(B) 50°

(C) 45°

(D) 40°

Number of matinee tickets = 900

Number of student tickets = 1800

Number of regular tickets = 5800

Let x be the number of matinee tickets.

In that case, the number of  student tickets is 2x.

The number of regular  tickets is (8500-x-2x) = (8500-3x).

Total money

5x + 6*(2x) + 8.50*(8500-3x) = 64600

Simplifying and solving for x

5x + 12x - 8.50*3*x + 8.50*8500  = 64600

5x + 12x - 8.50*3*x = 64600 - 8.50*8500

Solving x , we get

x = 900

Number of matinee tickets = 900

Number of student tickets = 1800

Number of regular tickets = 8500 - (900+1800) = 5800

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Answer:

21

Step-by-step explanation:

The answer choice which correctly represents an equivalent expression to that which is given as in the task content is; −30 + (−70) + (−40).

It follows from the task content that the expression whose equivalent is to be determined is; −30 + (−40) + (−70).

Therefore, since it follows from the associative property of addition that;

a + b + c = a + c + b.

Therefore, same can be said for the expression as given in the task content where;

-30 + (-40) + (-70) = -30 + (-70) + (-40).

Ultimately, the required equivalent expression is; −30+(−70)+(−40); negative 30 plus open parenthesis negative 70 close parenthesis plus open parenthesis negative 40 close parenthesis

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The mathematical expression, an inequality to be more specific which represents the given word phrase; -3 * a number increased by 7 is less than -11 is; -3a +7 < 11.

It follows from the task content that the mathematical expression which correctly represents the word phrase is to be determined.

Since the product of -3 and the number, a can be written as; -3 × a = -3a.

Hence, the word phrase as given in the task content can be written as;

-3a +7 < 11.

This follows from the concept of inequalities.

Ultimately, The mathematical expression, an inequality to be more specific which represents the given word phrase; -3 * a number increased by 7 is less than -11 is; -3a +7 < 11.

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A

Step-by-step explanation:

Answer:

3/6

Step-by-step explanation:

2/3 = 4/6

(multiply 2 by 2 = 4, multiply 3 by 2 = 6)

4/6 - 1/6 = 3/6

Answer:

2x2/3x2-1/6

4/6-1/6=3/6=1/2

he used half for the day

hope this helps or may also he correct •-•

Hence, the equation of exponential function is represented by y = A(Bˣ)

The equation in exponential form

y = A(Bˣ)

Case 1 :

x =0 y = 0.02

0.02 =  A (B⁰)

A = 0.02

Case 2:

x = 1 y =0.04

0.04 =  0.02(B)

0.04 /0.02 = B

B = 2

Case 3 :

x = 2 y =0.08

0.08 = 0.02(2²)

0.08 = 0.08

Case 4 :

x = 3 y = 0.16

0.16 = 0.02(2³)

0.16 = 0.16

So, we have implemented the eqaution y = A(Bˣ)

We found the values of A & B, and also proved them in case 3 and case 4.

Hence, the equation of exponential function is represented by y = A(Bˣ)

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The answer is only 1

The radioactive substance remaining after 43 hours is: 62.7273 mg by unitary method.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Now,

Given that 180 mg is present at t = 0 hours.

After t = 33 hours, substance left = 90mg

By unitary method, after = 1 hour, substance left = [tex]180-\frac{90}{33}=180 -\frac{30}{11}[/tex]mg

The substance left after t = 43 hours = [tex]180 - \frac{30\times43}{11}= 180 - \frac{1290}{11}=180 - 117=62.7273mg[/tex]

Hence, The radioactive substance remaining after 43 hours is: 62.7273 mg by unitary method.

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The length of the pieces of wire include 23.5425 inches and 75.4565 inches.

Given the total length of wire is

X+Y=100

Y=100-X

Then we bend the two pieces into squares so that the sides of each square are X/4 and (100-X)/4. Therefore

(X/4)² + [(100-X)/4]² =400

X² +10000-200X +X² =6400

X²-100X+1800=0

Solving the equation

X = 76.4565 inches and X=23.5425 inches

Therefore, the length of the pieces of wire include 23.5425 inches and 75.4565 inches.

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The triangle with vertices located at U(-5 , 5), K(-5 , -1), and L(1 , 2) has its centroid located at (-3 , 2).

The centroid of a triangle is the point inside the triangle where the three medians intersect. The median of a triangle is the line the connects the midpoint of a side and the opposite vertex.

To get the centroid of a triangle, use the formula given by:

C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]

where C is the centroid of the triangle located at (x , y)

x1, x2, and x3 are the x-coordinate of the vertices of the triangle

y1, y2, and y3 are the y-coordinate of the vertices of the triangle

Let Point 1(x1 , y1) = U(-5 , 5)

Point 2(x2 , y2) = K(-5 , -1)

Point 3(x3 , y3) = L(1 , 2)

Plug in the values in the formula.

C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]

C(x ,y) = [(-5 + -5 + 1)/3 , (5 + -1 + 2)/3]

C(x ,y) = (-9/3 , 6/3)

C(x ,y) = (-3 , 2)

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Answer: End of chain

Step-by-step explanation:

Dog is at pole and cat is at 8 meters if the dog runs at 12 meters a sec and cat runs at 10 in 2 secs the dog will reach end of chain. But the dog needs 4 secs to reach cat because the dog runs 2 meters a second faster than the cat. Hope it Helps!

The error is the symbol for the ray is not correct.

We know that opposite rays are two rays that both start from a common point and go in exactly opposite directions.

In the image attached the rays,

→

YC and

→

YE are opposite rays.

And the points E, Y, and C are colinear, that is the points E, Y, and C lie on a straight line.

In the image, the rays YC and YE just have a line on the above without the right arrow mark. This representation that is given in question indicates that YC and YE are line segments and not rays.

Hence, The correct way to represent them is

→

YC and

→

YE are opposite rays.

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The total value of the furniture she sold is $4400.

Let the remaining sales be represented by x.

She receives 10% of her first $900 in sales and 15% of the balance of her sale.

This will be:

(10% × $900) + (15% × x) = 750

90 + 0.15x = 750

Collect like terms

0.15x = 750 - 90

0.15x = 660

Divide

x = 660/0.15

x = 4400

Therefore, the total value is $4400.

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Answer: 8 14/15

Step-by-step explanation:

2 1/3 + 6 3/5 =

2+1/3 + 6+3/5=

2+6+1/3+3/5=

8+1/3+3/5=

8+(1/3+3/5)*15/15=

8+(1*15/3+3*15/5)/15=

8+(15/3 + 45/5)/15=

8+(5+9)/15=

8+14/15=8 14/15

Answer:

well 22

Step-by-step explanation:

what is the answer to the answer to the answer to the answer to the same the whole of I will tell is the best of the whole time I will tell u won't let go and see if you have any questions or concerns please visit

Step-by-step explanation:

are you serious ?

1/3 of 24 means dividing 24 by 3,

means 24×1/3 = 24/3 = 8

For a data set with an odd number of observations that have been sorted from smallest to largest values, the median is located at [tex]\frac{x+1}{2}[/tex]

Given,

The conditions

We know,

Median is the middle number of ordered data set.

Consider the number of observations as x

Then the median is located at [tex]\frac{x+1}{2}[/tex]

Hence, for a data set with an odd number of observations that have been sorted from smallest to largest values, the median is located at [tex]\frac{x+1}{2}[/tex]

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