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Answer:

[tex]\boxed {\boxed {\sf 682}}[/tex]

Step-by-step explanation:

The nth term of an arithmetic sequence can be found using the following formula.

[tex]a_n=a+d(n-1)[/tex]

where a is the first term, d is the common difference, and n is the term.

First, we should find the common difference.

We can do this by subtracting each term from the term following it. Basically, subtract the first term from the second term, the second from the third, and so on.

[tex]d= a_2-a_1[/tex]

The second term is 25 and the first is 16.

[tex]d= 25-16[/tex]

[tex]d=9[/tex]

Now we know the common difference is 9. We also know the first term is 16 and we are looking for the 75th term.

[tex]d=9 \\a=16 \\n= 75[/tex]

Substitute the values into the formula.

[tex]a_{75}=16+9(75-1)[/tex]

Solve according the PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction).

Solve the parentheses first.

[tex]a_{75}=16+9(74)[/tex]

Multiply next.

[tex]a_{75}=16+666[/tex]

Finally, add.

[tex]a_{75}=682[/tex]

The 75th term in the sequence is 682.

Answer: 10 , 10

Step-by-step explanation:

By solving one-step matrix equation, we get [tex]x_{1} =10[/tex], [tex]x_{2}=10[/tex].

A matrix equation is an equation of the form Ax = b , where A is an m × n matrix, b is a vector in R m , and x is a vector whose coefficients x 1 , x 2 ,..., x n are unknown.

A one-step equation is an algebraic equation you can solve in only one step. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.

Given one-step matrix equation

[tex]\left[\begin{array}{c}x_{1} &x_{2} \end{array}\right]+\left[\begin{array}{c}-2 &5 \end{array}\right] =\left[\begin{array}{c}8 &15 \end{array}\right][/tex]

By adding the matrix the respective equations are:

[tex]x_{1} +(-2)=8[/tex].....(1)

[tex]x_{2} +(5)=15[/tex].....(2)

By solving [tex]x_{1} +(-2)=8[/tex]

⇒ [tex]x_{1} -2=8[/tex]

Add 2 on the both sides of the equation

⇒ [tex]x_{1}-2+2 =8+2[/tex]

⇒ [tex]x_{1} =8+2[/tex]

⇒ [tex]x_{1} =10[/tex]

Solving equation 2

[tex]x_{2} +(5)=15[/tex]

⇒ [tex]x_{2} +5=15[/tex]

Subtract 5 on both sides of the equation

⇒ [tex]x_{2} +5-5=15-5[/tex]

⇒ [tex]x_{2}=10[/tex]

By solving one-step matrix equation, we get [tex]x_{1} =10[/tex], [tex]x_{2}=10[/tex].

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Answer:

1 x=12

Step-by-step explanation:

combine -2 ans -2 then add -8 the subtract 5 from 4 and divde 1 from each side

Answer:

Combine the like terms

-4x+2

Thats it

Answer: 7

Step-by-step explanation:

3x (4 - 2) + 1

3x (2) + 1

6 + 1

7

Answer:

[tex]\left\{\begin{matrix}2p + 4c = 31.50\\3p + 2c = 33.25\end{matrix}\right.[/tex]

Step-by-step explanation:

Let's call (as suggested)

p = the cost of one pizza

c = the cost of one cheeseburger

The Anderson Family ordered 2 pizzas and 4 cheeseburgers and paid $31.50, thus:

2p + 4c = 31.50             [1]

Next weekend, they ate at the same restaurant and ordered 3 pizzas and 2 cheeseburgers for $33.25, thus:

3p + 2c = 33.25           [2]

To know the cost of one pizza and one cheeseburger, we need to solve the system of equations defined by [1] and [2]

[tex]\left\{\begin{matrix}2p + 4c = 31.50\\3p + 2c = 33.25\end{matrix}\right.[/tex]

Answer:

1/3 of your math problems need to be completed on Sunday if you did 2/3 on Saturday.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

You already did 2/3 on Saturday. So what left to do on Sunday in order to finish your homework is 1/3 more.

Answer:

Step-by-step explanation:

3 x 4 - 5

= 7

The required output of the given function at x = 4 is given as f(x) = 7.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
To evaluate output from the function f(x) = 3x - 5, at x = 4 we must put the value of x in the function:
f(4) = 3(4) - 5
f(4) = 7

Thus, the required output of the given function at x = 4 is given as f(x) = 7.

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Answer:

30.40/3.2=9.5 so he pays $9.50 per ounce of steak

Step-by-step explanation:

Answer: Few phrases make me cringe the way I do when I hear, “Ours is not to reason why; just invert and multiply.” A student’s job in math class is to reason, and a teacher’s job is to help the students see that math makes sense. Understanding division of fractions is complicated, bringing together many ideas that build up to a method that makes sense, especially in the tricky case of a fraction divided by a fraction. Liping Ma writes about research asking teachers to explain what it means to divide by a fraction. Most U.S. teachers were startled to find how difficult this was for them. What if we start with the simpler case of a whole number divided by a fraction?

Answer:

equation

Step-by-step explanation:

obviously!

Answer:

Sure, I can try to help.

Step-by-step explanation:

Answer:

The discrimination is positive

Step-by-step explanation:

The graph shows the parabola with branches go up in positive y-direction. This gives you that a>0.

Since parabola has two x-intercepts, then the equation  has two different solutions and the discriminant is greater than 0.

9514 1404 393

Answer:

  a = 57.5

  b = 90

  c = 65

Step-by-step explanation:

The measure of an inscribed angle is half that of the arc it intercepts. The angle at 'a' intercepts an arc of 115°, so its measure is (115/2)° = 57.5°

__

The inscribed angle at 'b' is a semicircle, 180°, so the measure of 'b' is (180/2)° = 90°.

__

The arc 'c' is the remainder of a semicircle after 115° have been taken away. Its measure is 180° -115° = 65°.

  (a, b, c) = (57.5, 90, 65)

Answer:

18c - 30d + 36

Step-by-step explanation:

Answer:

B.) 10 cm squared

Step-by-step explanation:

Answer:

Step-by-step explanation:

-(12-8x)=5x+15-7x

-12+8x=5x+15-7x

8x+7x-5x=15+12

10x=27

x=27/10

Answer:

x = 27/10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-(12 - 8x) = 5x + 15 - 7x

Step 2: Solve for x

i really dont know but good luck

Answer:

ensure that no single branch of government would have too much power

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

f(-4) means x = -4 so then plug -4 into the function.

y = -4²-16

y = 0

Answer:

f(-4) =0

Step-by-step explanation:

f(x)=x²-16

Let x = -4

f(-4) = (-4)^2 -16

       =  16-16

       = 0

Answer:

B

Step-by-step explanation:

To make the perfect square the first step is  Subtract 40 from both sides option (A) is correct.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

The complete question is:

Which is the best first step to solve 5x²+12x = 40 by completing the square?

We have a quadratic equation:

5x²+12x = 40

To make the perfect square:

First, subtract 40 from both sides.

5x²+12x - 40 = 40 - 40

5x²+12x - 40 = 0

Thus, to make the perfect square the first step is  Subtract 40 from both sides option (A) is correct.

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Answer:

10% of choosing a 7th grade boy.

50% of choosing 8th grade boy

Step-by-step explanation:

Answer:

Step-by-step explanation:

prob(boy 7th grade)= 1/10  it is just one boy out of 10 students

prob(boy 8th grade)= 3/6=1/2  there are 3 boys out of 6 students

Prob(both boys)=( 1/10)*(1/2)=1/20

Answer:

$2.64

Step-by-step explanation:

I hoped I could help you!!

Answer:

x = - 2

Step-by-step explanation:

Step 1:

-2 ( x + 11 ) = - 18         Equation

Step 2:

- 2x - 22 = - 18       Multiply

Step 3:

- 2x = 4       Add 22 on both sides

Step 4:

x = 4 ÷ - 2

Answer:

x = - 2

Hope This Helps :)