Ah clever. So you need two formulas.
1) Volume of the marble.
4(pi)r^3/3
= 4(pi)(1.4)^3/3
<span>= 11.49 (approx)
</span>
2) Formula for density.
D = M / V
= 9 / 11.49
= 0.78
0.78 < 1
Therefore the marble will float.
Answer:
Step-by-step explanation:
No attempt is made to influence anything - just ask questions and record the responses. By definition, An observational study measures the characteristics of a population by studying individuals in a sample, but does not attempt to manipulate or influence the variables of interest.
A is the correct answer.
The first term is, <span> <span>z2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> +z </span> its coefficient is <span> 1 </span>.
The last term, "the constant", is <span> -2 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -2 = -2</span>
Step-2 : Find two factors of -2 whose sum equals the coefficient of the middle term, which is <span> 1 </span>.
<span><span> -2 + 1 = -1</span><span> -1 + 2 = 1 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -1 and 2
<span>z2 - 1z</span> + 2z - 2
Step-4 : Add up the first 2 terms, pulling out like factors :
z • (z-1)
Add up the last 2 terms, pulling out common factors :
2 • (z-1)
Step-5 : Add up the four terms of step 4 :
(z+2) • (z-1)
Which is the desired factorization
<span>Equation at the end of step 3 :</span><span> 3 • (z + 2) • (z - 1) = 0 </span>
Answer:
x = 23
y = 7
z = 11
Step-by-step explanation:
Since ∆PRS ≅ ∆CFH, therefore,
m<R = m<F
13y - 1 = 90° (substitution)
Add 1 to both sides
13y - 1 + 1 = 90 + 1
13y = 91
Divide both sides by 13
13y/13 = 91/13
y = 7
Since ∆PRS ≅ ∆CFH, therefore,
PS = CH
2x - 7 = 39 (substitution)
Add 7 to both sides
2x - 7 + 7 = 39 + 7
2x = 46
Divide both sides by 2
2x/2 = 46/2
x = 23
Since ∆PRS ≅ ∆CFH, therefore,
m<S = m<H
Find m<S
m<S = 180 - (m<P + m<R) (sum of ∆)
m<S = 180 - (28 + (13y - 1)) (substitution)
Plug in the value of y
m<S = 180 - (28 + (13)(7) - 1))
m<S = 180 - (28 + 91 - 1)
m<S = 180 - 118
m<S = 62°
Therefore, since m<S = m<H,
62° = 6z - 4 (substitution)
Add 4 to both sides
62 + 4 = 6z - 4 + 4
66 = 6z
Divide both sides by 6
66/6 = 6z/6
11 = z
Answer:
a = -20
Step-by-step explanation:
In this question, you would solve for "a".
Solve:
8(a + 30)=80
Use the distributive property.
8a + 240 = 80
Subtract both sides by 240
8a = -160
Divide both sides by 8.
a = -20
Your final answer would be a = -20
