All categories

3 years ago

Hector works 12 hours per week at a part-time

Mathematics

1 answer:

rewona [7]3 years ago

6 0

Answer:

Step-by-step explanation:

You might be interested in

Dots sells a total of 277 T-shirts ($2) and shorts ($3). In April, total sales were $656.

icang [17]

Answer:

Shorts = 112 and t shirts = 165

Step-by-step explanation:

Let S = shorts

Let T = t shirts

T + S = 277

$2T + $3S = $656

-2(T + S) = 277 so -2T -2S = -544

2T + 3S = 656 so 2T + 3S = 656

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

SO: (subtract T's cancel out) 1S = 112

divide by 1 so S = 112

Plug S into the top equation: T + s = 277 T + 112 = 277 so T = 165

5 0

3 years ago

Need to know the population in 2015

Margarita [4]

$\bf P=1110.9e^{kt}\quad 
\begin{cases}
P=1200 &\textit{in thousands}\\
t=2 &\textit{in 2002}
\end{cases}\implies 1200=1110.9e^{k2}
\\\\\\
\cfrac{1200}{1110.9}=e^{2k}\implies ln\left( \frac{1200}{1110.9} \right)=ln(e^{2k})\implies ln\left( \frac{1200}{1110.9} \right)=2k
\\\\\\
\cfrac{ln\left( \frac{1200}{1110.9} \right)}{2}=k\implies 0.0385755\approx k\implies 0.0386\approx k\\\\
-------------------------------\\\\$

$\bf P=1110.9e^{0.0386t}\qquad 
\begin{cases}
t=14\\
\textit{year 2015}
\end{cases}\implies P=1110.9e^{0.0386\cdot 14}
\\\\\\
P\approx 1907.0747\implies about\ 1,907,075\textit{ once rounded up}$

3 0

3 years ago

Sort the following functions from asymptotically smallest to asymptotically largest, indicating ties if there are any. You do no

Serhud [2]

Answer:

b. n

d. 2^lgn

c. n^2.1

a. 4^2lgn

Step-by-step explanation:

Logarithm is a function of mathematics which is used to calculate inverse function of exponents. The asymptotically smallest function will be the one that has smallest or no exponents. The exponent function is calculated in reverse when log is applied. The function with highest exponents will be largest asymptotically.

3 0

3 years ago

There is a quadrilateral MNPQ in which side MN is congruent to side PQ and side NP is parallel to side MQ. The diagonal MP and t

8_murik_8 [283]

Answer: QN = 12

Step-by-step explanation: This quadrilateral is a paralelogram because its 2 opposite sides (NP and MQ) are parallel and the other 2 (MN and PQ) are congruent.

In paralelogram, diagonals bisect each other, which means QR = RN.

If QR = RN:

QR = 6

Then,

QN = QR + RN

QN = 6 + 6

QN = 12

The diagonal QN of quadrilateral MNPQ is QN = 12.

5 0

3 years ago

I need help with this and also the explanation plz

RoseWind [281]

Answer:

The correct answer is 0 or A

Step-by-step explanation:

2/0+2 + 1/5 = 6/0+5

2/2 + 1/5 = 6/5

1 + 1/5 = 6/5

5/5 + 1/5 = 6/5

6/5 = 6/5

7 0

3 years ago