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2 years ago

10

Draw a graph of the line that contains the given point and (-3,0); m = 1 8

1 answer:

salantis [7]2 years ago

4 0

Answer:

Step-by-step explanation:

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Ms. Franco earned $709.54 in net pay for working 25 hours. She paid $87.45 in federal and state taxes, and $38.45 in FICA taxes.

GenaCL600 [577]

Answer:

The hourly wage of Ms. Franco is $28.38 .

Option (B) is correct .

Step-by-step explanation:

As given

Ms. Franco earned $709.54 in net pay for working 25 hours.

Thus

$Hourly\ wage\ of\ Ms. France = \frac{Total\ wage}{Total\ number\ of\ hours}$

Putting values in the above

$Hourly\ wage\ of\ Ms. France = \frac{709.54}{25}$

Hourly wage = $ 28.38

Therefore the hourly wage of Ms. Franco is $28.38 .

Option (B) is correct .

7 0

3 years ago

Read 2 more answers

HELP PLEASE! ONLY 5 MORE MINUTES! Look at the following shape below: Please find the PERIMETER of the following shape using the

Evgen [1.6K]

Answer:

The perimeter is $P=73.12\ cm$

Step-by-step explanation:

we know that

The perimeter of the figure is equal to the circumference of a semicircle

plus the perimeter of a square minus the diameter of the circle

so

$P=\pi r+4(b)-D$

we have

$r=8\ cm$

$b=16\ cm$

$D=16\ cm$

The diameter of the circle is equal to the length side of the square

substitute

$P=(3.14)(8)+4(16)-16$

$P=25.12+64-16$

$P=73.12\ cm$

7 0

3 years ago

Frank and his mom are planting vegetables in their garden. Frank has finished planting 8 rows of carrots so far and is planting

Yuliya22 [10]

Answer:

It will take 3 hours. They will both have completed 11 rows.

Step-by-step explanation:

1 row of carrots per hour = frank

3 rows of tomatoes per hour = frank's mom

right now, this is how many they have completed

frank - 8 rows

mom - 2 rows

1st hour

f - 9

m - 5

2nd hour

f - 10

m - 8

3rd hour

f - 11

m - 11

8 0

2 years ago

Solve the proportion.<br> 4<br> y<br> =<br> 7<br> ?<br> y =

Leni [432]

Answer:

y=28/5

Step-by-step explanation:

Okay so for this we can use cross- multiplication. Basically, the product of the numerator of the first number and the denominator of the second is equal to the product of the denominator of the first and the numerator of the second.

What I mean is: 4*7=5*y

so,

28=5y

y=28/5

4 0

3 years ago

The daily average temperature in Santiago, Chile, varies over time in a periodic way that can be modeled approximately by a trig

natali 33 [55]

Answer:

a) the trigonometric function is;

$y = 7.5 sin ( \frac{2 \pi}{365}t + \frac{337 \pi}{730})+ 21.5$

b) $y = 28.36^0 \ C$ ( to two decimal places)

Step-by-step explanation:

This data can be represented by the sinusoidal function of the form :

$\mathbf{y = A sin (Bt -C)+D}$

where A = amplitude and which can be determined via the formula:

$A = \dfrac{largest \ temperature - lowest \ temperature}{2}$

$A = \dfrac{29-14}{2}$

$A = \dfrac{15}{2}$

A = 7.5° C

where B = the frequency;

Since the data covers a period of 3 days ; then $\dfrac{2 \pi}{B } =365$

$B = \dfrac{2 \pi}{365}$ ( where 365 is the time period )

The vertical shift is found by the equation D;

D = $\frac{largest \ temperature + lowest \ temperature}{2}$

D = $\frac{29+14}{2}$

D = 21.5

Replacing the values of A ; B and D into the above sinusoidal function; we have :

$y = 7.5 sin (\frac{2 \pi}{365}t -C) + 21.5$

From the question; when it is 7th of the year ( i.e January 7);

t = 7 and the temperature (y) = 29° C

replacing that too into the above equation; we have:

$29= 7.5 sin (\frac{2 \pi}{365}*7 -C) + 21.5$

$29= 7.5 sin (\frac{14 \pi}{365} -C) + 21.5$

$\frac{29-21.5}{7.5}= sin (\frac{14 \pi}{365} -C)$

$1= sin (\frac{14 \pi}{365} -C)$

$sin^{-1}(1)= (\frac{14 \pi}{365} -C)$

$\frac{\pi}{2}= (\frac{14 \pi}{365} -C)$

$C= (\frac{14 \pi}{365} -\frac{\pi}{2})$

$C= (\frac{28 \pi- 365 \pi}{730} )$

$C= \frac{-337 \pi}{730}$

Thus; the trigonometric function is;

$y = 7.5 sin ( \frac{2 \pi}{365}t + \frac{337 \pi}{730})+ 21.5$

Similarly; to determine the temperature o Jan 31; i.e when t= 31 ; we have :

$y = 7.5 sin ( \frac{2 \pi}{365}*31+ \frac{337 \pi}{730})+ 21.5$

$y = 7.5 sin ( \frac{62 \pi}{365}+ \frac{337 \pi}{730})+ 21.5$

$y = 7.5 sin ( \frac{124 \pi+ 337 \pi }{730})+ 21.5$

$y = 7.5 sin ( \frac{461 \pi }{730})+ 21.5$

$y = 7.5 *( 0.915)+ 21.5$

$y = 6.8689+ 21.5$

$y = 28.36^0 \ C$ ( to two decimal places)

7 0

3 years ago

Read 2 more answers