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1 year ago

Question four need to know what I did wrong I need to do it I need to understand

Mathematics

1 answer:

Nuetrik [128]1 year ago

4 0

If there are 189 children, then there are 189 divided 7 = <em>27 groups of 7 children.</em>

As mentioned in the problem,<em> for every 7 children, there are 2 caretakers </em>therefore, there are a total of 2 x 27 = 54 caretakers in the local daycare.

So, in total, there are 189 children + 54 caretakers = 243 people in the daycare facility.

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Find the indicated limit. ModifyingBelow lim With x right arrow 8 StartRoot 7 x minus 2 EndRoot Select the correct choice below

riadik2000 [5.3K]

Answer:

$3\sqrt{6}$

Step-by-step explanation:

We are to determine the limit below.

$\lim _{x \rightarrow8}\sqrt{7x-2}$

Plug in 8 into the function.

$\lim _{x \rightarrow8}\sqrt{7x-2}=\sqrt{7(8)-2}\\=\sqrt{56-2}\\ =\sqrt{54}\\ =3\sqrt{6} \\\lim _{x \rightarrow8}\sqrt{7x-2}=3\sqrt{6}$

3 0

3 years ago

(a) Use the Quotient Rule to differentiate the function f(x)=tan(x)-1/sec(x). f'(x)=

yKpoI14uk [10]

Answer:

(a) sin(x) + cos(x)

(b) sin(x) + cos(x)

Step-by-step explanation:

(a) The given function is:

$f(x) = \frac{tan(x)-1}{sec(x)}$

According to the quotient rule:

$f(x) = \frac{g(x)}{h(x)}\\f'(x)= \frac{g'(x)h(x)-g(x)h'(x)}{h(x)^2}$

Applying the quotient rule:

$f(x) = \frac{tan(x)-1}{sec(x)}\\f'(x)=\frac{sec^2(x)*sec(x)-(tan(x)-1)*sec(x)tan(x)}{sec(x)^2}\\f'(x)=\frac{sec^3(x)-sec(x)tan^2(x)+sec(x)tan(x)}{sec(x)^2}\\f'(x)=sec(x)+\frac{tan(x)-tan^2(x)}{sec(x)}\\ \frac{tan(x)}{sec(x)}=sin(x) \\f'(x)=sec(x)+sin(x)-sin(x)tan(x)\\$

This can be simplified to:

$f'(x)=sec(x)+sin(x)-sin(x)tan(x)\\f'(x) = \frac{1}{cos(x)}+sin(x)-\frac{sin^2(x)}{cos(x)}\\f'(x)=\frac{1+sin(x)cos(x)-sin^2(x)}{cos(x)}\\f'(x)=\frac{sin^2(x)+cos^2(x)+sin(x)cos(x)-sin^2(x)}{cos(x)}\\f'(x)=\frac{cos^2(x)+sin(x)cos(x)}{cos(x)}\\ f'(x)=sin(x) +cos(x)$

(b) Simplifying in terms of sin(x) and cos(x):

$f(x) = \frac{tan(x)-1}{sec(x)}\\f(x)=\frac{\frac{sin(x)}{cos(x)}-1 }{\frac{1}{cos(x)} } \\f(x)=sin(x)-cos(x)\\f'(x) = cos(x)+sin(x)$

(c) As proven above, both answers are equivalent.

4 0

3 years ago

Draw a model to write 2 3/5 as a improper fraction

Andreyy89

13/5
2 3/5
2x5=10
10+3=13
13/5

3 0

3 years ago

Explain why the formula for sample variance is different from the formula for population variance. Why is it inappropriate to us

Aliun [14]

Step-by-step explanation:

The difference in the formula of population and sample variance can be explained as:

Population variance is said to be the value of variance that is calculated from population data, whereas sample variance refers to the variance calculated from sample data. This is the reason why value of denominator in the formula for variance in case of sample data is ‘n-1’, while it is ‘n’ for population data. Hence, the result of both variance and standard deviation derived from sample data is larger than those found out from population data.

3 0

2 years ago

In each of the following situations, data are obtained by conducting a research study. Classify each Experimental or Correlation

klio [65]

Answer:

1. Experimental

2. Correlational

3. Experimental.

Step-by-step explanation:

1. Experimental.

Researches are interested on finding the effects of music on a test.

2. Correlational

Researchers are interested on finding the correlation of the gender and cognition from different samples

3. Experimental

The Researcher wants to know the effects of bedroom light.

7 0

3 years ago