6) In a true experimental design, the manipulated variable, or grouping variable is
and assignment to groups is
(choose the option in which both are correct)
called the
a) dependent variable; random
b) dependent variable; based on preexisting differences
c) independent variable; based on preexisting difference
d) independent variable; random

The volume of the container is (4x-3)(x+2)(x+1) cubic feet.

Six faces make up the three-dimensional shape of a rectangular prism. The prism's faces are all rectangles. The shape of a rectangular prism is cuboidal.

There are two sets of parallel and congruent bases in this polyhedron. It has eight vertices, 12 sides, and six faces. Rectangular prisms are also known as a right rectangular prism, rectangular parallelepiped, and rectangular hexahedron.

Right rectangular prisms and oblique prisms are the two primary varieties of rectangular prisms. The bases of a right rectangular prism are parallel to the other faces.

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Answer:

Step-by-step explanation:

F(x)=4x-6

It will start at -6C and every hour we will be going up by 4

The account after 1 year if he makes no withdrawals will be $309.

Omar deposits $300 in an account earning 3% interest compounded annually.

And,  3% interest compounded annually

To find the how much will be in the account after 1 year if he makes no withdrawals?

Now, According to the question:

We know that

P = 300

r = 3%

n = 1

t = 1

where:

P = Principle

r=rate

n=time

And formula is:

P ×[tex](1+r/n)^n^t[/tex]

Substitute the values in the formula

= 300 × [tex](1 + \frac{3}{100} / 1 )^1[/tex]

Evaluate the equation / expression , we get

= 309

Hence, The account after 1 year if he makes no withdrawals will be $309.

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Answer:

D;75ml

Step-by-step explanation:

1st water→30ml

1st oil→20ml

2nd water →Xml

2nd oil →50ml

30→20

X →50

cross multiply both equations

1500=20x

X=1500/20

X=75ml

Answer:

y = -2x+1

Step-by-step explanation:

Answer:

-2x+1

Step-by-step explanation:

Answer:

it would be -90⁰ because its clockwise its the opposite direction

Answer:

Step-by-step explanation:

y = 4x + 2                 Substitute x = -6

y = 4(-6) + 2

y = -24 + 2

y = - 22

Answer:

Independent Variable: Number of bagels bought

Dependent Variable: Total cost because it depends on the number of bagels bought.

Function: N(x)=1.75x

So, if x is the number of bagels bought, N(14) means that 14 bagels were bought. So you multiply 14 by the price; 1.75. So, N(x)=1.75*14 = $24.5

Step-by-step explanation:

Answer:

The independent variable, x, represents the number of bagels purchased, and the dependent variable is the total cost of the bagels, because the total cost of the bagels depends on the number of bagels purchased.

A function relating these variables is V(x) =1.75x.

So V(14) = 24.5, meaning 14 bagels will cost 24.5 dollars.

Step-by-step explanation:

Have a good day :)

Please give me Thanks

Answer:

59°

Step-by-step explanation:

According to the given description, [tex] \angle QRS[/tex] is the exterior angle of [tex] \triangle PQR[/tex]

So, by exterior angle property of a triangle, we have:

[tex] m\angle QRS=m\angle RPQ+m\angle PQR\\\\

(10x - 1)\degree = (3x +17)\degree+(2x +12)\degree\\\\

(10x - 1)\degree = (3x +17+2x +12)\degree\\\\

(10x - 1)\degree = (5x +29)\degree\\\\

(10x - 1)= (5x +29)\\\\

10x - 5x = 29 + 1\\\\

5x = 30\\\\

x = \frac{30}{5}\\\\

x = 6\\\\

\because m\angle QRS = (10x - 1)\degree \\\\

\therefore m\angle QRS = (10\times 6- 1)\degree \\\\

\therefore m\angle QRS = (60- 1)\degree \\\\

\huge\orange{\boxed{\therefore m\angle QRS = 59\degree }}\\

[/tex]

Answer:

dang steve dog training go brrr

Step-by-step explanation:

Answer: 80

Step-by-step explanation: First divide 48 by 6 and that would give us 8. Then multiply 8 by 10 which equals 80 and thats how you do it!

Answer:

Ans is ( 1 , 4 )

Step-by-step explanation:

meter jhdogasdoiew

Answer:

(1, -5).

Step-by-step explanation:

The robot is at the point (-3, -5).

If it moves 4 to the right the x coordinate increases by 4 and the y-coordinate stays the same.

The answer is

((-3 + 4, -5)

= (1, -5).

Answer:

The sum of the exterior angles in a convex 50-gon polygon is 360° ⇒ A

Step-by-step explanation:

In the question

∵ The polygon has 50 sides

→ By using the 3rd rule above

∵ The sum of the exterior angles of any polygon (n-gon) is 360°

∴ The sum of the exterior angles in a convex 50-gon polygon is 360°

Answer:

the answer of this qst is A

Applying the least common multiple, the fraction is rewritten as

[tex]\frac{4200(x+100)}{x(x+100)} + \frac{4200x}{x(x+100)}[/tex]

Which is option A.

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

The fraction given is:

[tex]\frac{4200}{x} + \frac{4200}{x + 100}[/tex]

When two fractions with different denominators are added, the first step is finding the least common multiple of the denominators. The lcm of x and x + 100 is x(x + 100), thus we use it to factor the fraction.

[tex]\frac{4200}{x} + \frac{4200}{x + 100} = \frac{4200\frac{x(x+100)}{x}}{x(x+100)} + \frac{4200\frac{x(x+100)}{x+100}}{x(x+100)} = \frac{4200(x+100)}{x(x+100)} + \frac{4200x}{x(x+100)}[/tex]

Which is option A.

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Answer:

x = -7

Step-by-step explanation:

Step-by-step explanation:

a(n) = a +(n-1)d

a=-2

d=4+2=6

°.° a(n) = -2 +(n–1)6

hope this helps

The fuel economy lies between 7 to 12 and minimum fuel economy in the city

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Answer:

-7n - 3

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define Expression

5n - 3(4n + 1)

Step 2: Simplify

T1(a) = 10, common ratio (r) = [tex] \frac{30}{10} = 3[/tex] T11 = ?

Formula for finding the nth term of a GP: [tex]t_{n} = a {r}^{n - 1} [/tex]

To find T11:

[tex]⟹t_{11} = 10 \times {3}^{11 - 1} [/tex]

[tex] ⟹t_{11} = {10 \times 3}^{10} [/tex]

[tex] ⟹t_{11} = 10 \times 59049[/tex]

Therefore:

[tex] t_{11} = 590490[/tex]

Answer:

1.5 miles

Step-by-step explanation:

graph on desmos graphing calculator

(0.075t, 0.1t-5)  

The second runner will overtake after 1.5 miles.

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

Let t represent the time taken at which both the joggers meet

Then the distance covered is given by

For jogger A = 0.075 t

For jogger B = 0.1 (t-5)

0.075 t = 0.1t - 0.5

0.025t = 0.5

t = 20 seconds

The distance at which they meet is

=0.075 * 20

= 1.5 miles

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Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

so in first picture

1 is exterior angle of the triangle

it means that

1=2+3

so is evident that m 1 > m 2

in the second picture

1 is the exterior angle of the triangle

so

1=3+4

but 3=2 as alternate interior angles

definition:The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

so is evident that m 1 > m 2

Answer:

see explanation

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(1)

∠ 1 is an exterior angle of the triangle, then

∠ 1 = ∠ 2 + ∠ 3

Thus ∠ 1 must be > ∠ 2

(2)

∠ 3 = ∠ 2 ( alternate angles )

∠ 1 is an exterior angle of the triangle, then

∠ 1 = ∠ 3 + ∠ 4 = ∠ 2 + ∠ 4

Thus ∠ 1 > ∠ 2

Answer:

B) x < 9 or x > 23

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

I'm so sorry if I'm not correct, but that's the only answer that makes any sense to the sentence.

Answer:

B: 1/5 = 4/x

Step-by-step explanation:

1cm = 5km

4cm = 20km

Answer:

Ten is two more than five times a number ten is two more translate to10+2 Five times the number translates to 5x where x stand for the number. And the word than means equality. So the equation is10+2=5x→5x=12

Answer:

c

Step-by-step explanation:

Answer:$20

Step-by-step explanation: We first need to figure out how much a single candy is worth. To do that we need to divide 40 candy bars by $30. 40/30 is equal to 4/3 or $1.33 dollars each. Now we multiply 15 by the price of a single candy bar which is 4/3 or 1.33 dollars. 4/3*15 is $20.

Answer:

D

Step-by-step explanation:

The Answer is D

Answer:

Somebody already answered lol but it’s D.

Step-by-step explanation:

I’m bored

Answer:

its 6............................

if 2 cm is 1 meter then 1 meter is 2 cm

13 * 2 = 26

26 cm is the answer

Answer:

[tex]\sqrt{28.25}[/tex]

Step-by-step explanation:

Use the Pythagoran Theorem

Answer:

Step-by-step explanation:

a^2+b^2= c^2

1.1^2+ 5.2^2= c^2

1.21+ 27.04= c^2

28.25=c^2