the number y of new vocabulary words that you learn after x weeks is represented by the equation y=15 number 17 please help A-C.

We are given

First expression:

[tex]4^{-5} \cdot (4 \cdot 9)^{5} \cdot 9^{-3}=4^{-5} \cdot (4^{5} \cdot 9^{5}) \cdot 9^{-3}[/tex]

We used property

power rule-II:

Product to power distribute  to each base

[tex](a \cdot b)^m=a^m \cdot b^m[/tex]

Second expression:

[tex]=(4^{-5} \cdot 4^{5}) \cdot ( 9^{5}) \cdot 9^{-3})[/tex]

we used property

associative property of multiplication:

[tex]a \cdot b \cdot c \cdot d =(a \cdot b) \cdot (c \cdot d)[/tex]

Third expression:

[tex]=4^0 \cdot 9^2[/tex]

we used property

Product Rule:

Same base add exponents

[tex]a^m \cdot a^n =a^{m+n}[/tex]

Fourth expression:

[tex]=1 \cdot 9^2[/tex]

we used property

Zero Exponent :

Anything to the zero power  (except 0) is one

[tex]a^0=1[/tex]

Fifth expression:

[tex]= 9^2[/tex]

we used property

Multiplicative identity:

[tex]1 \cdot a=a[/tex]

Sixth expression:

[tex]= 81[/tex]

We used simplification

Answer:

The correct answer is c. c is the square of half of b.

Step-by-step explanation:

In all perfect square trinomials, half of the middle number squared gives you the constant. See the example below for proof.

(x + 4)^2

(x + 4)(x + 4)

x^2 + 4x + 4x + 16

x^2 + 8x + 16

You'll notice if you take the middle term (8), cut it in half (4) and then square it (16), the result is the constant.

Answer:

C

Step-by-step explanation:

c is the square of half of b.

To determine the greatest number of people Oscar and Julie can invite within their budget, we can set up an inequality and solve for the variable 'x'. The total cost equation is $90 + $31x ≤ $2,000. Solving this inequality, we find that the greatest number of people they can invite is 61.

To determine the greatest number of people that Oscar and Julie may invite and still stay within their budget, we need to set up an inequality based on the given information. Let's denote the number of people they invite as 'x'. The total cost of the reception hall is $90 (cleanup fee) + $31 (per person) * x (number of people). This should be less than or equal to their budget of $2,000. So, the inequality is 90 + 31x ≤ 2000. To solve for 'x', we need to isolate the variable. Subtracting 90 from both sides, we have 31x ≤ 1910. Dividing both sides by 31, we find x ≤ 61.935. Since we can't have a fraction of a person, the greatest number of people they can invite is 61.

Answer:

The variable p represent the number of packages.

Step-by-step explanation:

As 4.45 is the cost of tomatoes, and 4.45p represents the cost of the tomatoes for a number of packages, we can say that p represent the number of packages.

  7x^3   +0x^2 +   2x   -1

+ -x^3    +8x^2   +2x    -6

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

6x^3     +8x^2  +4x    -7

standard form is from largest exponent to smallest exponent

Answer:

Step-by-step explanation:

Plug in 1 for p, and 7 for q

7 - 5p + 3q

7 - 5(1) + 3(7)

Simplify. First, multiply

5 x 1 = 5, 3 x 7 = 21

7 - 5 + 21 = 2 + 21 = 223

23 is your answer

hope this helps

~Rise Above the Ordinary

Answer:Your Answer of the probability would determindedly be 3/25.

Step-by-step explanation:

Answer: A-500 meters

Step-by-step explanation:

sixty-two hundred= This would be 6200.

Answer: T = -32

Step-by-step explanation:

isolate T by multiplying both sides by -4 (the reciprocal of -1/4)

[tex]8 = -\frac{1}{4}T[/tex]

[tex](-4)8 = -(-4)\frac{1}{4}T[/tex]

-32 = T

Use the graphing calculator to plot the line y=ax+b for the given data. On the attached diagram you can see green points that are ordered pairs weight-height and black line is regression line.

As you can see a≈0.1 and b≈50.9.

The equation of regression line is y=0.1x+50.9.

Answer:

137.3 miles apart from each other

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

i jus did the quiz and got 100% . your welcome

2(b + 3) - (7 + b) = -7

2b + 6 - 7 - b = -7

b = -6 + 7 - 7

b = -6

To solve this first distribute the 2, and then distribute the negative sign.

2(b+3)-(7+b)=-7

2b+6-7-b=-7

Combine like terms.

2b+(-b)=b

6+(-7)=-1

b-1=-7

Add 1 on both sides of the equation.

b-1+1=-7+1

b=-6

A quotient is the answer that results from a number being divided by another number. In other words, it is the answer to a division problem. So, the quotient of y and 6 means that y is being divided by 6. Algebraically, you write this as y ÷ 6, or [tex]\frac{y}{6}[/tex]

Abby needs 2940 total and has 245, therefore she needs  2695 lbs

you would do 245x212= 51,940

OR

212x212= 44,944

Hope that helps its one oth those but i want to say its the first one 245x212=51,940

Answer:

a) 61

The friend's ages are consecutive, therefore they are each one year apart. There are 3 friends whose ages add up to 180 in total.

[tex]180 / 3 = 60[/tex]

In order to make three consecutive numbers, subtract one and add one to 60.

[tex]60 - 1 = 59\\60 + 1 = 61[/tex]

You get 59, 60, and 61.

61 is the oldest age, that's your answer.

The domain is the first x of each ordered pair. The domain is 1, -30, -12, -11

The range is the y value : -27,30,21,4

This is an example of the Associative Property of addition.

The student's question involves dividing a polynomial by a binomial using algebraic techniques such as long or synthetic division to find the quotient and remainder.

The question presented requires a division of polynomials. Specifically, the student is asked to divide the polynomial [tex](v^4 - v^3 - 68v^2 - 26v - 94)[/tex] by the binomial (v - 9). This problem can be solved using long division or synthetic division, which are techniques used in algebra to divide one polynomial by another. The result of the division will provide a quotient and possibly a remainder if the division is not exact.

The answer would be A, 3(x-6)(x+2)

Solution:- Let f and g be the functions such that

                         [tex]f:X\rightarrow  Y\\and\\ g:Y\rightarrow Z[/tex]

can be used to form a function which maps x in X to [tex]g(f(x))[/tex] in Z.  

If z is a function of y, and y is a function of x, then z is a function of x. (transitive property)

Hence the composite function is given by

[tex]g of : X\rightarrow Z[/tex] , defined by [tex](gof)(x)=( g(f(x)) x)[/tex] for x in X.

Now , for the function g(x) into the function for f(x), we have to work from the inside out by substituting the expression. So by this way composition of function related to order of operations.

The values of A and B of the given equation with the given coordinates are; A = 5 and B = -4

We are told the equation is;

Ax + By = 10

Since the equation goes through (6,5) and (-2,-5), then it means we have two simultaneous equations as;

6A + 5B = 10   ----(eq 1)

-2A - 5B = 10  ----(eq 2)

Add eq 1 to eq 2 to obtain;

4A = 20

A = 20/4

A = 5

Now, put 5 for A in eq 1 to get;

6(5) + 5B = 10

30 + 5B = 10

-5B = 30 - 10

-5B = 20

B = -20/5

B = -4

Thus, in conclusion, the values of A and B are 5 and -4 respectively.

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Values of A and B in the equation Ax+By=10, that pass through points (6,5) and (-2,-5), can be calculated by plugging these points into the equation, resulting in two simultaneous equations. On solving them, you find that A = 1 and B = -1.

In order to determine the values of A and B in the equation Ax+By=10 that passes through the points (6,5) and (-2,-5), first we plug these points into the equation. This will result in two simultaneous equations.

For the point (6,5), the equation becomes 6A + 5B = 10. For the point (-2,-5), the equation becomes -2A - 5B = 10. Solving these two simultaneous equations, you will obtain A = 1 and B = -1.

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Answer:

[tex]y = 5 + 0.003(2^{x})[/tex]

Step-by-step explanation:

If a base shipping charge of $ 5 is collected, it means that regardless of the amount of money spent, a base payment of $ 5 must be made for the shipment. Therefore the graph of the exponential function must move 5 units up on the positive y axis. Your new cutoff point with the positive y axis will be y = $ 5.003

Therefore, the new function that represents the shipping cost will be:

[tex]y = 5 + 0.003(2^{x})[/tex]

with [tex]x \leq 20[/tex]

1. 3p: Add 6 to negative 3, and carry over the "p"

3. 6x: Subtract 1 from 7 and carry over the "x"

5. -4v: Add 6 to negative 10 and carry over the "v"

7. -4r + 9: Add 5 to -9 and carry over the "r". Then put "+9" after the variable, since the other 9 was by itself.

9. 14n: Add 5 to 9 and carry over the "n".

I hope this helps!

[tex]Solution, solve\:for\:x,\:3\left|x-3\right|+2=14\quad :\quad x=-1\quad \mathrm{or}\quad \:x=7[/tex]

[tex]Steps:[/tex]

[tex]\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}, 3\left|x-3\right|+2-2=14-2[/tex]

[tex]\mathrm{Simplify}, 3\left|x-3\right|=12[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}3, \frac{3\left|x-3\right|}{3}=\frac{12}{3}[/tex]

[tex]\mathrm{Simplify}, \left|x-3\right|=4[/tex]

[tex]|f\left(x\right)|=a\quad \Rightarrow \:f\left(x\right)=-a\quad \mathrm{or}\quad \:f\left(x\right)=a, x-3=-4\quad \quad \mathrm{or}\quad \:\quad \:x-3=4[/tex]

[tex]x-3=-4\quad :\quad x=-1[/tex]

[tex]x-3=4\quad :\quad x=7[/tex]

[tex]\mathrm{Combine\:the\:ranges}, x=-1\quad \mathrm{or}\quad \:x=7[/tex]

The correct answer is B. x=-1, x=7

Hope this helps!!!

Answer:

Equation is

           [tex]224=\frac{7}{8}x[/tex]

Step-by-step explanation:

At the gym, Jasper was able to bench press 224 pounds, which was 7/8 of the weight that Balin was able to bench press.

Let  x be the weight that Balin could bench press.

We have

         [tex]224=\frac{7}{8}x\\\\x=\frac{8\times 224}{7}=256[/tex]

That is

         x = 256

Equation is

           [tex]224=\frac{7}{8}x[/tex]

Answer: B

Step-by-step explanation:

4 * √24

with √24 you find a side, per 4 and you have the perimeter of the square

4 * √24

4* 4.9=

19.6

Hello there!

You had to find the prime factorization of 12

3*2*2=12

Then you find the prime factorization of 7.

7*1=7

7*3*2*2=84

Answer⇒⇒84

The least common multiple of 12 and 7 is 84.

Hope this helps!

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-Charlie