A store orders 22 boxes of light bulbs. Each box has 148 bulbs.
Which is the best estimate of the total number of bulbs the store orders?

Answer:

Answer is Option 2

Step-by-step explanation:

Triangles equal to 180 degrees in total. So it is 55+54+x+74=180

The simplified version that I just wrote is Option 2

Answer:

See explanation below

Step-by-step explanation:

Recall the identity for the cosine of an addition of angles:

[tex]cos(\theta+\gamma)= cos(\theta)*cos(\gamma)- sin(\theta)*sin(\gamma)[/tex]

and that for a subtraction of angles:

[tex]cos(\theta-\gamma)= cos(\theta)*cos(\gamma)+sin(\theta)*sin(\gamma)[/tex]

Now, use the property of addition of angles above to write :

[tex]cos(\frac{A+B}{2} +\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]

but since :  [tex]\frac{A+B}{2} +\frac{A-B}{2}= A[/tex]

Then the cosine of addition of angles above can be written as:

[tex]cos(\frac{A+B}{2} +\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\cos(A)=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]

We do something similar now with the cosine of the subtraction of angles:

[tex]cos(\frac{A+B}{2} -\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]

and we notice that: [tex]\frac{A+B}{2} -\frac{A-B}{2}= B[/tex]

Then the cosine of subtraction of angles above can be written as:

[tex]cos(\frac{A+B}{2} -\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\cos(B )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]

and finally, we add term by term the expressions we got for cos (A) and for cos(B) and notice that the terms that contain the sine functions cancel each other because they have opposite signs, while the terms in cosine add up to double themselves:

[tex]cos(A )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\+\\cos(B )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\=\\cos(A) +cos(B)=2\,cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )[/tex]

which is what we wanted to prove.

Answer:

6500

Step-by-step explanation:

6700-200= 6500

6500 ft above sea level

Answer:

About 2.08 Uranus years is equal to 175 Earth years

Step-by-step explanation:

1     = ?

84     175

175/84 = 2.08

Number of Uranus years are equal to 175 Earth years is 2.08 years.

Given that, The length of 1 year on Uranus is a little more than 84 years on Earth.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let the number of years be x

1 : 84 :: x : 175

⇒ 1/84 = x/175

⇒ 84x=175

⇒ x=175/84

⇒ x=2.08 years

Therefore, number of Uranus years are equal to 175 Earth years is 2.08 years.

To learn more about the proportions visit:

https://brainly.com/question/7096655.

#SPJ2

Answer:

4

Step-by-step explanation:

1 2 3 4 so 4 because 4 is the last number before 5

Answer:

y = 1.25x+4

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

Substitute Values for one set of coordinates. I used (0,4) and (4,8)

Once you have derived what m is equal too, put it into your slope intercept form: y=mx+b

y=1.25x+b

b would be equal to 4 in this case (sorry i don't have enough time to explain why, but it is 4)

The final answer is y = 1.25x+4

Answer: -2x+18

Hope this will help :)

Answer:

-2x + 18

Step-by-step explanation:

Simplfy

-6 (x - 3) + 4x

-6x + 18 + 4x         Combine liked terms

-2x + 18

Answer:

350 feet

Step-by-step explanation:

352.50 - 37.50= 315

315 ÷ 45 = 7

7 × 50 = 350

Answer:

14! So a

Step-by-step explanation:

Answer:

aaaaaaaaa

Step-by-step explanation:

aaaaaaaaaaaaaaaa

Answer:

rate of current=1 mph

Step-by-step explanation:

Answer:

x= 9.37

y = 17.69

Step-by-step explanation:

in order to find the answer, use the trigonometries.

First finding x which is tan(32) = x/15

x = tan(32)15

and Y is cos(32) = 15/y

y = 15/cos(32)

I hope this helps

Answer:

$69,408.17  = $69,410 rounded

Step-by-step explanation:

Final investment value

$69,408.17

Total interest earned

$19,408.17

Initial balance

$50,000.00

Total monthly deposits

$0.00

Effective Annual Rate (APY)

4.185%

The formula used in the compound interest calculator is A = P(1+r/n)^(nt)

A = the future value of the investment

P = the principal investment amount

r = the interest rate (decimal)

n = the number of times that interest is compounded per period

t = the number of periods the money is invested for

Answer:

Juke's jump; by 0.35 feet

Step-by-step explanation:

Given that,

Cooper's jump rope is for [tex]4\dfrac{2}{5}[/tex] feet.

Juke's jump rope is [tex]4\dfrac{3}{4}[/tex] feet.

Cooper's jump is :

[tex]4\dfrac{2}{5}=\dfrac{22}{5}\ \text{feet}\\\\=4.4\ \text{feet}[/tex]

Juke's jump is

[tex]4\dfrac{3}{4}=\dfrac{19}{4}\\\\=4.75\ \text{feet}[/tex]

So, it is clear that Juke's jump is longer than Cooper's jump.

Juke's jump - Cooper's jump = 4.75 - 4.4

= 0.35 feet

or

So, Juke's jump is 375 feet longer.

Answer:

nothing nothing nothing nothing

Step-by-step explanation:

nothing nothing nothing nothing nothing nothing nothing nothing

stream positons by ariana grande <3

Answer:

Its a+10

Step-by-step explanation:

Answer:

10 + a or a + 10, depending on multiple choice, or writing

Step-by-step explanation:

2 + 8 = 10

10 + a

detailed:

find like terms 8 and 2 = 10

plot the a 10 + a

Answer:

87   39/1000

Step-by-step explanation:

Answer:

ya if you do 3 a day

Step-by-step explanation:

Answer:

yes it is enough time you would have to do 25 assignments aweek

Step-by-step explanation:

Answer:

At the end of the 100th turn, you have 90 plates placed normally.

Step-by-step explanation:

Not sure if there is a formula to calculate this.  I plugged the data into a spreadsheet and created formulas to turn every plate, every 2nd plate, every 3rd, .... to every 100th plate.

Answer:

The answer is: y = 9.25x

Step-by-step explanation:

Let the equation for the proportionality relation is y = mx .......... (1), where y represents the money that Craig earns for a duty of x hours.

Here, m is the constant of proportionality and we have to find its value.

Given that Craig earns $37 for 4 hours duty.

So, from equation (1), we have 37 = 4m, ⇒ m = 9.25

Therefore, the equation becomes y = 9.25x. (Answer)

Answer:

240

Step-by-step explanation:

According to law of exponential growth,

[tex]y=y_0e^{kt}[/tex]

Here, [tex]y_0[/tex] denotes the initial amount and k is the rate constant of the equation.

Now, the initial population is 240 bacteria.

Put [tex]y_0=240[/tex]

So,

[tex]y=240e^{kt}[/tex]

The population after 12 hours is double the population after 1 hour.

[tex]y(12)=2y(1)[/tex]

[tex]240e^{12k}=240e^{k} \\e^{12k}=e^{k} \\e^{12k-k}=1\\e^{11k}=1\\11k=log 1=0\\k=0[/tex]

(Formulae used: [tex]\frac{e^x}{e^y}=e^{x-y}\,,\,log 1=0[/tex])

So,

[tex]y=240e^{0}=240\\y=240[/tex]

Therefore,

Number of bacteria after 3 hours = 240

Answer: The cost of milk at Target is 3 standard deviations above the mean = $3.05.

Step-by-step explanation:

Given: Mean price of a gallon of milk = $2.60

Standard deviation =  $0.15

The cost of milk at Target is 3 standard deviations above the mean = Mean + Standard deviation

= $ (2.60+3(0.15))

=-$(2.60+0.45)

= $ 3.05

Hence, the cost of milk at Target is 3 standard deviations above the mean = $3.05.

Answer:

C. 33

Step-by-step explanation:

Answer: 7.0

Step-by-step explanation:

sergio must ride 7.5 miles in 1/4 hour to achieve this target speed so  he needs to ride  an addititonal 9.8 mile per1/4 hour

Answer:

30 mph

Step-by-step explanation:

since it is 1/4  you would multply 7.5 times 4, which adds up to 30.

Answer:

the missing angle is 5m

Step-by-step explanation:

Answer:

Ah yes, Pearson lol. It should be 4 or 5 m.

Step-by-step explanation:

Hope this helps :)

Answer:

1886 i think thats right if you do the math

Step-by-step explanation:

Answer:

I have $100 and I buy 3 lunches, after which I'm left with $74.50.  How much does each lunch cost?

Answer:

The answer is 8

Step-by-step explanation:

Since there's already a negative sign right beside h and one outside of it, the answer has to be positive, and since 12-4=8, the answer is 8