Answer:
C.)
Step-by-step explanation:
The graph is positive this time, so right away you can eliminate A and B.
If y=2x, the graph would be much steeper so the answer is C.) you can also check by graphing it in desmos.
Answer:
First term (a) =8
Common difference (d)= t2-t1
=12-8
=4
Now, sum of first 31th term (tn31) =n/2{2a+(n-1)d}
= 31/2{2×8+(31-1)4}
=31/2{16+(30×4)
=31/2(16+120)
=31/2×126
=31×63
Step-by-step explanation:
Similarly use 19 as (n) for the 19th term
Answer:
or units.
Step-by-step explanation:
To find the <em>distance between two points</em>, we can use the Distance Formula.
Distance Formula:
<u />
<u>Given:</u>
P (10, -7) ⇒ x₁ = 10, y₁ = -7
Q (7, -10) ⇒ x₂ = 7, y₂ = -10
Substitute the given values into the formula and simplify.
The distance between points P and Q is or units.
Learn more here:
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The number of cubes with edge length ⅕ inch that will fit in the prism is: 1,920 cubes
<h3>Volume of a Rectangular Prism</h3>
Volume of a rectangular prism = length × width × height
<h3>Volume of a Cube</h3>
A cube has equal edge length. Therefore, the volume of a cube = a³, where a is the edge length.
Given the following,
Dimensions of Priya's Rectangular Prism:
2⅖ = 2.4 inches
3⅕ = 3.2 inches
2 inches
Volume of the Rectangular Prism = 2.4 × 3.2 × 2 = 15.36 in.³
Dimension of the cubes:
edge length = ⅕ inch
Volume of the cube = (⅕)³ = 0.008 in.³
The number of ⅕ inch edge cube that will fit in the prism = Volume of Prism / Volume of Cube
= 15.36/0.008 = <em>1,920 cubes </em>
Learn more about Volume of Prism on:
brainly.com/question/9761614
Answer:
25%
I cannot really describe how I did it but I am pretty sure it is correct.