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Viktor [21]
3 years ago
10

On Monday it rained two and one-half inches. On Tuesday it rained three and three-fourths inches. How much did it rain in the tw

o days?
Mathematics
1 answer:
Rufina [12.5K]3 years ago
8 0

2 1/2 + 3 3/4

get a common denominator ofr 4

2 1/2 *2/2 + 3 3/4

2 2/4 + 3 3/4

5 5/4

5 + 1 1/4

6 1/4 inches

Answer  6 1/4 in ches

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Find all critical numbers of the function <img src="https://tex.z-dn.net/?f=g%28x%29%3Dx%5E%7B%5Cfrac%7B3%7D%7B4%7D%20%7D-2x%5E%
postnew [5]

Differentiate g using the power rule:

g'(x) = \dfrac34 x^{\frac34-1} - 2\cdot\dfrac14 x^{\frac14-1}

g'(x) = \dfrac34 x^{-\frac14} - \dfrac12 x^{-\frac34}

g'(x) = \dfrac14 x^{-\frac34} \left(3 x^{\frac12} - 2\right)

g'(x) = \dfrac{3\sqrt x - 2}{4 x^{\frac34}}

The critical points of g occur where g' is zero or undefined.

We have

g'(x) = 0 \implies 3\sqrt x - 2 = 0 \implies \sqrt x = \dfrac23 \implies \boxed{x = \dfrac49}

and the derivative is undefined for

\dfrac1{g'(x)} = 0 \implies 4x^{\frac34} = 0 \implies \boxed{x=0}

8 0
2 years ago
HELP PLZ DUE TM!!!! 20 POINTS!!!
Flauer [41]

 

\displaystyle\bf\\m \overset{\frown}{HE}=360-m \overset{\frown}{HL}-m \overset{\frown}{EV}-m \overset{\frown}{VL}\\m\overset{\frown}{HE}=360^o-40^o-130^o-110^o=360^o-280^o=80^o\\\\m\widehat{EYH}=m\widehat{EYV}=\frac{m \overset{\frown}{EV}-m\overset{\frown}{HE}}{2}=\frac{130^o-80}{2}=\frac{50^o}{2}=\boxed{\bf25^o}

5 0
3 years ago
In response to the increasing weight of airline passengers, the Federal Aviation Administration in 2003 told airlines to assume
schepotkina [342]

Answer: 0.0016

Step-by-step explanation:

Given the following :

Population mean(m) = 196

Population Standard deviation (sd) = 32

Number of sample (n) = 18

Sample mean (x) = Total weight of sample / number of samples = 3928 / 18 = 218.2

Obtaining the test statistic (z) :

Z = [(x - m) / (sd/√n)]

Z = [(218.2 - 196) / (32/√18)]

Z = [(22.2 / 7.5424723)]

Z = 2.943

Hence,

P(Z > 2.94) = 1 - P(Z < 2.94)

= 1 - 0.9984

= 0.0016

4 0
3 years ago
A business reports a net income of −$2,730−$2,730 over a 3-month period.
bearhunter [10]
The answer is C. $910, all you do is take the income and divide it by the number of months to find the average.
7 0
3 years ago
Read 2 more answers
A veterinarian treated 7 dogs this morning. The list below gives the weights (in pounds) of each dog.
Fantom [35]
Range: difference between the highest and lowest values
First order from smallest to greatest
3, 8, 24, 24, 29, 38, 62
Smallest number: 3
Largest number: 62
62 - 3 = 59
Solution: the range is 59
7 0
3 years ago
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