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3 years ago

Eric conducted a survey of the cars in four parking lots and wrote the following observations:

Mathematics

2 answers:

vredina [299]3 years ago

8 0

Answer:

1- 42%

2- 47%

3- 40%

4- 62%

parking lot 4 had the greatest percentage of blue cars

Step-by-step explanation:

Mademuasel [1]3 years ago

5 0

Answer:

Lot 4 had the greatest percentage of blue cars.

Step-by-step explanation:

15 of the 36 cars in lot 1 were blue = 41.66 %

43 of the 92 cars in lot 2 were blue = 46.73 %

12 of the 30 cars in lot 3 were blue = 40%

32 of the 52 cars in lot 4 were blue = 61.53 %

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Estimate the limit A B C D

Lera25 [3.4K]

Answer:

C. $\lim_{x\rightarrow f(x)=2$

Step-by-step explanation:

Given problem is $\lim_{x\rightarrow \frac{\pi}{4}}\frac{tan(x)-1}{x-\frac{\pi}{4}}$ .

Now we need to evaluate the given limit.

If we plug $\x=\frac{\pi}{4}$ , into given problem then we will get 0/0 form which is an indeterminate form so we can apply L Hospitals rule

take derivative of numerator and denominator

$\lim_{x\rightarrow \frac{\pi}{4}}\frac{tan(x)-1}{x-\frac{\pi}{4}}$

$=\lim_{x\rightarrow \frac{\pi}{4}}\frac{sec^2(x)-0}{1-0}$

$=\frac{sec^2(\frac{\pi}{4})-0}{1-0}$

$=\frac{(\sqrt{2})^2}{1}$

$=\frac{2}{1}$

Hence choice C is correct.

5 0

3 years ago

a person invest in 9000 in a bank. the bank pays 5% interest compounded semi annually. to the nearest tenth of a year, how long

QveST [7]

Answer:

10.1 years.

Step-by-step explanation:

It is given that,

Principal = 9000

Rate of interest = 5%

No. of times interest compounded = 2 times in an year

Amount after certain time = 14800

The formula for amount:

$A=P(1+\frac{r}{n})^{nt}$

where, P is principal, r is rate of interest, n is no. of times interest compounded in an year and t is time in years.

Substitute the given values in the above formula.

$14800=9000(1+\frac{0.05}{2})^{2t}$

$\frac{14800}{9000}=(1+0.025)^{2t}$

$1.644=(1.025)^{2t}$

Taking log both sides.

$\log(1.644)=\log(1.025)^{2t}$

$\log(1.644)=2t\log(1.025)$ $[\because \log a^b=b\log a]$

$\frac{\log(1.644)}{2\log(1.025)}=t$

$t=10.066$

$t=10.1$

Therefore, the required time is 10.1 years.

3 0

3 years ago

Please help me!! Will get brainliest!

makvit [3.9K]

Completing the square follows the principle of taking $a x^{2} +bx+c$ and converting it into $(x+ \frac{b}{2})^2+d$ where d is the 'correctional number' as I like to call it - i.e. the number that converts the expanded bracket into the +c, since the expanded bracket will give us $a x^{2} +b$ .

In this case, 2/2=1 so we have the first part: $(w+1)^2$ .
Expanding this gives us $w^2+2w+1$ . We need c to be 9, so we can just add 8.
Putting this together:

$w^2+2w+9=(w+1)^2+8$

Now we can solve it more easily.
Rearranging:
$(w+1)^2=-8 \\ w+1= +-\sqrt{-8} = +-\sqrt{8}i=+-2 \sqrt{2}i \\ \boxed{w=-1+ 2\sqrt{2}i\ or\ -1-2 \sqrt{2}i }$

5 0

3 years ago

HELP ASAP PLEASE

Serga [27]

Answer:

Step-by-step explanation:

The bases of a triangular prism are equilateral triangles, since they have equal sides: 5, 5, and 5

yes, since if all lateral faces are rectangles, rectangles are formed from 4 perpendicular segments, thus, if all edges of the lateral faces are perpendicular, then they are rectangles

6 0

3 years ago

Which equation can be used to solve the problem? 75 percent of what number is 150? asap

shutvik [7]

Answer:

200

Step-by-step explanation:

Multiplying both sides by 100 and dividing both sides by 75,we have x = 150 ×

100/75

x = 200

4 0

3 years ago

Read 2 more answers