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Evgesh-ka [11]
3 years ago
15

How do I solve these problems?

Mathematics
1 answer:
lesya [120]3 years ago
5 0

Domain:\\D:x > 0\\\\\ln x=5.6+\ln(7.5)\ \ \ \ |-\ln(7.5)\\\\\ln x-\ln7.5=5.6\ \ \ |Use\ \log x-\log y=\log\dfrac{x}{y}\\\\\ln\dfrac{x}{7.5}=5.6\ \ \ \ |use\ \log_ab=c\iff a^c=b\\\\\dfrac{x}{7.5}=e^{5.6}\ \ \ \ |\cdot7.5\\\\\boxed{x=7.5e^{5.6}}\in D

\log x=5.6-\log7.5\ \ \ \ |+\log7.5\\\\\log x+\log7.5=5.6\ \ \ \ |use\ \log x+\log y=\log (xy)\\\\\log(7.5x)=5.6\ \ \ \ |use\ \log_ab=c\iff a^c=b\\\\7.5x=10^{5.6}\ \ \ \ |:7.5\\\\\boxed{x=\dfrac{10^{5.6}}{7.5}}\in D

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The number line shows the locations of points P 0. R. and S 털 HR & -7 -6 = Which points have a distance of 5 units between t
Svetradugi [14.3K]

Answer: point P and point S

Step-by-step explanation:

took the test

6 0
2 years ago
Out of seniors at a local high school, 60% went on the senior trip. At the hotel , one room was reserved for every 4 students .
sweet [91]

Answer:

<u>Number of rooms reserved for the students are - 90 .</u>

Step-by-step explanation:

Firstly ,

As we know 60% of the 600 students went on the trip,

Then ,

Number of students went on the trip = 60% of 600

                                                          = \frac{60}{100}\times600

                                                        = 360

Now ,

Given - One room is reserved  for 4 students ,

Therefore , Number of rooms for 360 students = \frac{360}{4}

                                                                             = 90

<u>Hence , the answer is  90 rooms reserved for the students.</u>

7 0
2 years ago
Please answer correctly! I will mark you Brainliest! The pictures go together! Please No answering without knowing answer or sca
Anna007 [38]

Answer:

904.32

Step-by-step explanation:

\frac{4}{3}\cdot \:3.14\cdot \:6^3=904.32

The volume of a sphere is \frac{4}{3}\pir^{3}

6 0
2 years ago
Mr.gilliam is 3 years younger than his wife.the sum of their ages is 95.how old is mr.gilliam
Usimov [2.4K]
X = the age of Mr. Gilliam
His wife is 3 years older, so the age of Mr. Gilliam's wife = x+3
The sum of their ages is 95.

x+x+3=95 \\&#10;2x+3=95 \\&#10;2x=95-3 \\&#10;2x=92 \\&#10;x=46

Mr. Gilliam is 46 years old.
3 0
3 years ago
Read 2 more answers
Hey hun can any of y'all help me?
11111nata11111 [884]
\bf \cfrac{5}{\frac{1}{6}+\frac{1}{x+1}}\qquad \cfrac{}{\impliedby LCD\textit{ will be 6(x+1)}}\implies \cfrac{5}{\frac{1(x+1)+1(6)}{6(x+1)}}&#10;\\\\\\&#10;\cfrac{5}{\frac{x+1+6}{6(x+1)}}\implies \cfrac{\frac{5}{1}}{\frac{x+7}{6(x+1)}}\implies \cfrac{5}{1}\cdot \cfrac{6(x+1)}{x+7}\implies \cfrac{30(x+1)}{x+7}

and you can expand the numerator if you wish, it won't be simplified further though.
6 0
3 years ago
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