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Papessa [141]
2 years ago
7

The value of y varies directly with x, and when x = y = 25. What is the value of

Mathematics
1 answer:
kipiarov [429]2 years ago
6 0

Answer:

A 233.3 or 233 1/3

Step-by-step explanation:

X =1/4

Y =25

1/4 X 100= 25

2 1/3 X 100= 233.3

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M=(y2-y1)/(x2-x1) m=(-4-4)/(3-1) m=-8/2 m=-4 so the answer should be first one
7 0
3 years ago
What is the area of a tringe with a base of 16cm and a height of 5ft plus the area of a rectangle with the height of 19cm and wi
slavikrds [6]
Triangles area is 40 cm^2 and the rectangles area is 437 centimeters squared I assume you mean triangle by the phrase tringe
6 0
2 years ago
Are 8x^2y and -5yx^2 like terms? Explain.
MaRussiya [10]

Like terms must have the same variables and those variables must have the same powers.

7a^2b^3 and 9a^2b^3 are like terms, because they both have a^2 and they both have b^3.

7a^2b^3 and 7a^3b^2 are NOT like terms, because the powers no longer match.

In your example, do you have the same variables and do the variables have the same powers in both expressions?

6 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
Natalie had 64 beads. She used 24 beads to make a bracelet. She used 7/8 of the remaining beads to make a necklace. How many bea
Eddi Din [679]

Answer:

Natalie have left with 5 beads.

Step-by-step explanation:

Given:

Natalie had 64 beads. She used 24 beads to make a bracelet. She used 7/8 of the remaining beads to make a necklace.

Now, to find the beads does Natalie have left.

<em>Total beads Natalie had = 64 beads.</em>

<em>And beads she used to make a bracelet = 24 beads</em>.

So, the remaining beads are = 64-24=40\ beads.

Now,<em> the beads she used to make a necklace</em> = 40 of \frac{7}{8}

                                                                             = 40\times \frac{7}{8}

                                                                             = \frac{280}{8}

                                                                             = 35\ beads  

Hence, the beads Natalie have left = remaining beads - beads used to make necklace.

The\ beads\ Natalie\ have\ left\ =\ 40-35

The\ beads\ Natalie\ have\ left\ =\ 5\ beads.

Therefore, Natalie have left with 5 beads.

8 0
3 years ago
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