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3 years ago

Compute 5e^2 - 4g + 7 where e = 4 and g = 6 ? (Not sure how to type a squared number where e^2 = “e squared”)

Mathematics

1 answer:

viktelen [127]3 years ago

6 0

Answer:

Step-by-step explanation:

The given expresion is

$5 {e}^{2} - 4g + 7$

We want to find the value of this expression when e=4 and g=6.

We substitute these values to get:

$5( {4}^{2} ) - 4(6) + 7$

We evaluate to obtain:

$5(16) - 4(6) + 7$

Let us multiply out to get:

$80 - 24 + 7$

This simplifies to 63

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Hat term can you add to StartFraction 5 over 6 EndFraction x minus 4 to make it equivalent to One-half x minus 4?

kolezko [41]

Answer:

$\dfrac{-x}{3}$ should be added to the given equation.

Step-by-step explanation:

Let a is added to the given equation.

According to the given condition,

$\dfrac{5x}{6}-4+a=\dfrac{x}{2}-4\\\\a=\dfrac{x}{2}-4+4-\dfrac{5x}{6}\\\\a=\dfrac{x}{2}-\dfrac{5x}{6}\\\\a=\dfrac{3x-5x}{6}\\\\a=\dfrac{-2x}{6}\\\\a=\dfrac{-x}{3}$

So, $\dfrac{-x}{3}$ should be added to the given equation.

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3 years ago

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 73 and 9

Naddika [18.5K]

Answer: After about 9.03 hours the temperature first reach 82 degrees.

Step-by-step explanation:

The sinusoidal function is given by :

$y=A\sin[\omega(x-\alpha)]+C$

where, A = amplitude; $\omega=\dfrac{2\pi}{period}$ , α= phase shift on the Y-axis and C = midline.

As per given,

Average daily temperature= $C=\dfrac{73+97}{2}=85$ [midline is average of upper and lower limit.]

A= 97-85 = 12

Phase shift: $\alpha=10$

Period = 24 hours;

$\omega=\dfrac{2\pi}{24}=\dfrac{\pi}{12}$

Substitute all values in sinusoidal function, we get

$y=12\sin[\dfrac{\pi}{12}(x-10)]+85$

Put y= 82, we get

$82=12\sin[\dfrac{\pi}{12}(x-10)]+85\\\\\Rightarrow\ -3= 12\sin[\dfrac{\pi}{12}(x-10)]\\\\=\dfrac{-1}{4}= \sin[\dfrac{\pi}{12}(x-10)]\\\\\Rightarrow\ \dfrac{\pi}{12}(x-10)=\sin^{-1}(\dfrac{-1}{4})\\\\\Rightarrow\ x-10=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))\\\\\Rightarrow\ x=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))+10\\\Rightarrow\ x\approx9.03$

Hence, After about 9.03 hours the temperature first reach 82 degrees.

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3 years ago

Explain how you can use division to simplify a complex fraction.

PolarNik [594]

Reduce the final answer if needed (or reduce when you multiply). A mixed number should be converted to an improper fraction (heavier on top) before simplifying. Change the numerator and denominator to single fractions<span> by creating a common denominator</span>

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4 years ago

The distance between two cities on a map is 4.5cm. The map scale is 1cm : 40 miles. What is the actual distance between the two

eimsori [14]

Answer: 180 miles

Step-by-step explanation: 1cm=40 miles. There is 4.5 so 4*40=160 and there is also half a centimeter, which is 20 miles. 160+20

Hope this helps and brainliest would be appreciated

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3 years ago

The color of any object depends upon which colors are reflected and absorbed. True or False?

SSSSS [86.1K]

Answer:

true

Step-by-step explanation:

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3 years ago

Read 2 more answers