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juin [17]
3 years ago
13

A yogurt shop offers 3 different flavors of frozen yogurt and 15 different toppings. How many choices are possible for a single

serving of frozen yogurt with one topping?
Mathematics
1 answer:
Tamiku [17]3 years ago
7 0
3 yogurts multiplied by 15 toppings. 45 choices.
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Arrange the following polynomial into descending order for x, then interpret the degree of the 2nd term.
igor_vitrenko [27]
For the answer to the question above,  the power of "y" doesn't influence descending order for x even if it is higher than power of x.

Unordered polynomial is 
7x3y3 + 4 - 11x5y2 - 3x2y

Polynomial in descending order  looks like this
-11x5y2 + 7x3y3 - 3x2y + 4

Degree of the second term is 5 ( because of x5 ) 
3 0
3 years ago
Read 2 more answers
The populations of termites and spiders in a certain house are growing exponentially. The house contains 120 termites the day yo
zysi [14]

Answer:

in order to triple the inicial population of spiders, will take 50395 days

Step-by-step explanation:

we can define the termite population function as T(t) and the one for spiders as S(t) , where t represents time measured in days

since both have and exponencial growth

T(t)= a*e^(b*t)

S(t)= c*e^(d*t)

1) when the day the person moves in , t=0 and T(0)= 120 termites

T(0) = a*e^(b*0) = a = 120

2) after 4 days , t=4 and  the house contains T(4) = 210 termites

T(4)= 120*e^(b*4) = 210 → 4*b = ln (210/120) → b = (1/4)* ln(210/120)= 0.14

therefore

T(t) = 120*e^(0.14*t)

3) 3 days after moving in , t=3, there were T(3) = 120*e^(0.14*3)=182.63≈ 182 termites . The number of spiders is half of the number of termites → S(3) = T(3) * 1 spider/ 2 termites  =91.31 spiders ≈ 91 spiders

4) after 8 days of moving in , t=8, there were T(8) = 120*e^(0.14*8)=367.78≈ 368 termites . The number of spiders is 0.25 times the number of termites → S(8) = T(8) * 1 spider/ 4 termites =91.94 spiders   ≈ 92 spiders

from

S(t)= c*e^(d*t) → d = ln [S (tb)/S (ta) ] / (tb-ta)

therefore d = ln [ S(8)/S(3) ] / (8 - 3 ) = 2.18*10^-5

in order to triple the initial population

S(t3) = 3 *S(0) = 3*[c*e^(d*0)] = 3*c

S(t3) = c*e^(d*t3) = 3* c → t3 = ln(3) / d = 50395 days

5 0
3 years ago
1. How many ways can eight different types of soaps be displayed on a shelf in a grocery store?
castortr0y [4]

Answer:

8^8 = 16777216

Step-by-step explanation:

3 0
3 years ago
What's the equation of these points in slope.
Rashid [163]
Google “slope calculator” on google
Use calculator soup.
4 0
3 years ago
Use logarithms to solve each equation 2x9/8=111
Illusion [34]
<span>We have this equation:
</span>
2x^{\frac{9}{8}} = 111

and we need to find the value of x.

First of all, we multiply the whole equation for 1/2, so our goal is to isolate x, therefore:

x^{\frac{9}{8}}=\frac{111}{2}
 
Next step we must do is to apply <span>logarithms:
</span>
logx^{\frac{9}{8}} = log(\frac{111}{2})

Next, we have to apply identities and then to solve the equation:

\frac{9}{8}logx = log(\frac{111}{2})
logx =  \frac{8}{9}log(\frac{111}{2})
logx = 1.5504
10^{logx} =  10^{1.5504}

Finally, we have the value of x which was our goal. This is the answer for the question above:

x= 35.5140

7 0
3 years ago
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