Answer:
<u>$1516</u>
Step-by-step explanation:
$78,832 / 52 weeks = $1516 per week
-If Lana worked every week of the year with no vacation with only weekends as a break.
Answer:
whole milk 4 ---------------- 32 ounces
skim milk 0 ---------------- x ounces
Mixture 2.5 ---------------- 32 + x ounces
4*32+0x =2.5(32 +x)
128+0x= 80+2.5 x
0 x + -2.5 x = 80 - -128
-2.5 x = -48
/ -2.5
x = 19.2
19.2 ounces of 0 % fat skim milk
Answer:
8
Step-by-step explanation:
Answer: 4(3+1)/4c-q^1/2d i think tht is how you do it...
Step-by-step explanation:
apply the distribuitive property to create an equivalent expression
4
(
3
+
1
)
4
c
−
q
1
2
d
Write the problem as a mathematical expression.
apply the distribuitive property to create an equivalent expression
4
(
3
+
1
)
4
c
−
q
1
2
d
Simplify.
4
(
3
+
1
)
4
c
−
q
2
d
Add
3
and
1
.
4
⋅
4
4
c
−
q
2
d
Simplify the denominator.
Tap for more steps...
4
⋅
4
8
c
d
−
q
2
d
Multiply
4
by
4
.
16
8
c
d
−
q
2
d
Multiply the numerator by the reciprocal of the denominator.
16
2
d
8
c
d
−
q
Multiply
16
2
d
8
c
d
−
q
.
Tap for more steps...
32
d
8
c
d
−
q
Answer:
Exponential decay.
Step-by-step explanation:
You can use a graphing utility to check this pretty quickly, but you can also look at the equation and get the answer. Since the function has a variable in the exponent, it definitely won't be a linear equation. Quadratic equations are ones of the form ax^2 + bx + c, and your function doesn't look like that, so already you've ruled out two answers.
From the start, since we have a variable in the exponent, we can recognize that it's exponential. Figuring out growth or decay is a little more complicated. Having a negative sign out front can flip the graph; having a negative sign in the exponent flips the graph, too. In your case, you have no negatives; just 2(1/2)^x. What you need to note here, and you could use a few test points to check, is that as x gets bigger, (1/2) will get smaller and smaller. Think about it. When x = 0, 2(1/2)^0 simplifies to just 2. When x = 1, 2(1/2)^1 simplifies to 1. Already, we can tell that this graph is declining, but if you want to make sure, try a really big value for x, like 100. 2(1/2)^100 is a value very very very veeery close to 0. Therefore, you can tell that as the exponent gets larger, the value of the function goes down and gets closer and closer to zero. This means that it can't be exponential growth. In the case of exponential growth, as the exponent gets bigger, your output should increase, too.
