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2 years ago

Given the function f(x), whose graph is shown below, place the black draggable dot at the point that corresponds to f−1(−4).

Mathematics

1 answer:

astraxan [27]2 years ago

7 0

Answer:eyys

Step-by-step explanation:

yes

jdvimj

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What is 4.66666666667 as a fraction

ss7ja [257]

Step-by-step explanation:

466666666667/100000000000

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2 years ago

Zara is serving a fresh pie.she starts by cutting the pie in half and then cuts each half into 4 equal pieces what fraction of t

gladu [14]

Answer:

$\boxed{\frac{1}{8}}$

Step-by-step explanation:

You are starting with ½ pie. Then you cut it into four pieces.

You want to evaluate ½ ÷ 4

Step 1. Treat the integer as a fraction

$\frac{1}{2}\div{\frac{4}{1}}$

Step 2. Invert the divisor and change divide to multiply

$\frac{1}{2}\times{\frac{1}{4}}$

Step 3. Multiply numerators and denominators

$\frac{1}{2}\times{\frac{1}{4}} = \mathbf{\frac{1}{8}}\\\\\text{Each piece is } \boxed{\mathbf{\frac{1}{8}}} \text{ of a whole pie.}$

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2 years ago

Sales tax in one state is 4%. What is the amount of tax on a $56.70 purchase?

NeTakaya

1) Convert 4% to decimal = .04

2) Multiply the purchase by that decimal

.04(56.70) = $2.27

5 0

2 years ago

A parabolic satellite dish reflects signals to the dish’s focal point. An antenna designer analyzed signals transmitted to a sat

ivolga24 [154]

Answer:

$c=\frac{16}{39}$

Step-by-step explanation:

The probability density function is :

$f(x)=c(1-\frac{1}{16}x^{2})$

With 0 < x < 3

To be a valid probability density function :

$\int\limits^b_a {f(x)} \,dx=1$

Where a < x < b

And also

f(x) ≥ 0 for a < x < b

Applying this to the probability density function of the exercise :

$\int\limits^3_0 {c(1-\frac{1}{16}x^{2})} \, dx=1$

$c\int\limits^3_0 {(1-\frac{1}{16}x^{2})} \, dx=1$

$c(3-\frac{1}{16}\frac{3^{3}}{3})=1$

$c(\frac{39}{16})=1$

$c=\frac{16}{39}$

We can verify by replacing ''c'' in the original probability density function and integrating :

$\int\limits^3_0 {\frac{16}{39}(1-\frac{1}{16}x^{2})} \, dx=$

$=\frac{16}{39}.(3)-\frac{1}{39}.(\frac{3^{3}}{3})=\frac{16}{13}-\frac{3}{13}=\frac{13}{13}=1$

Also, f(x) ≥ 0 for 0 < x < 3

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3 years ago

Brittany surveyed the students in three different Chemistry classes regarding the average number of hours of sleep they get each

aalyn [17]

Class B has the most consistant sleep because there is less of a difference between 6.87 and 3.65 than the other classes.

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2 years ago

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