Determine the measures of angles C and D.
​

An LED light bulb is 40% efficient, compared to an incandescent, which is 5% efficient which means that an LED light bulb will convert 40% of the energy used into visible light, while an incandescent light bulb will only convert 5% of the energy used into visible light.

The other 95% of the energy used by an incandescent bulb is lost as heat, making it less efficient. LEDs are much more energy efficient than incandescent bulbs. LEDs are able to produce the same amount of light as an incandescent bulb with only a fraction of the energy. This is because LEDs emit light in a narrow spectrum which reduces energy loss due to the amount of light that is not visible to the human eye. In addition, LEDs do not contain filaments that require power to heat up, meaning that much less energy is wasted as heat.

LEDs also have a longer lifespan than incandescent bulbs. This is due to the fact that LEDs have no filament to burn out, meaning they can last up to 50,000 hours or more. On the other hand, an incandescent bulb typically has a lifespan of around 1,000 hours. This means that an LED light bulb can potentially last up to 50 times longer than an incandescent bulb.

To get more information on efficiency click here:

https://brainly.com/question/30280642

#SPJ11

Answer: ~14°, ~62°

Step-by-step explanation:

See image. You should be able to easily calculate the last two angles.

we should reject H0 if the standardized test statistic is greater than 1.645

Given a sample size of n = 48 and a level of significance of α = 0.1, we can use the z-test to test the claim μ ≤ 25.6.

Since the level of significance is α = 0.1, we need to find the critical value corresponding to a 90% confidence level (1 - α).

The critical value for a 90% confidence level is 1.645.

what is statistic?

A statistic is a numerical value or measure that summarizes a specific characteristic or property of a sample or population. It is commonly used in statistics and research to provide information about a data set or to make inferences about a larger population based on the observed sample.

To know more about statistic visit:

brainly.com/question/31577270

#SPJ11

The data given has: a) A strong correlation, b) A positive correlation

Correlation is a statistical measure that expresses the extent to which two variables are linearly related, meaning they change together at a constant rate.

We have ordered pairs in the data as:

x             y

1             2

2            3

3            8

4            10

5            26

6            38

7            46

8            50

9            68

Plotting the graph (attached)

Clearly, on plotting the scatter plot on the basis of table of values, we see that the relation is a strong correlation since we can find a relationship between variable x and y.

i.e. the points will lie above or below the curve  which is formed by connecting some points of the scatter plot and are not scattered away.

Hence, the data above has: A strong correlation.

Also, the graph is a positive correlation since with the increasing value of x the y-value also increases.

Learn more about correlation, click;

https://brainly.com/question/28898177

#SPJ1

Answer:

x = -7

Step-by-step explanation:

Step 1: Write equation

3x - 1 = -22

Step 2: Add 1 on both sides

3x = -21

Step 3: Divide both 3

x = -7

Rewriting the left hand side,

csc²t - cost sec t

= (1/sin²t)-(cost)(1/cost)

= 1/sin²t - 1

= 1/sin²t - sin²t/sin²t

= (1-sin²t)/sin²t

= cos²t/sin²t

= cot²t

Answer:

\(x=-6\)

Step-by-step explanation:

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

Plug in all known points and variables:

\(\frac{1}{5} =\frac{(3-4)}{(x--1)}=\frac{-1}{(x+1)}\)

Multiply both sides of the equation by (x+1):

\(\frac{(x+1)}{5} =-1\)

Multiply both sides by 5:

\(x+1=-5\)

Subtract 1 from both sides:

\(x=-6\)

Answer:

Suppose that a couple invested $50,000 in an account when their child was born, to prepare for the child's college education. If the average interest rate is 4.4% compounded annually, ( A ) Give an exponential model for the situation, and ( B ) Will the money be doubled by the time the child turns 18 years old?

( A ) First picture signifies the growth of money per year.

( B ) Yes, the money will be doubled as it's maturity would be $108,537.29.

a = p(1 + \frac{r}{n} ) {}^{nt}a=p(1+

n

r

)

nt

a = 50.000.00(1 + \frac{0.044}{1} ) {}^{(1)(18)}a=50.000.00(1+

1

0.044

)

(1)(18)

a = 50.000.00(1 + 0.044) {}^{(1)(18)}a=50.000.00(1+0.044)

(1)(18)

a = 50.000.00(1.044) {}^{(18)}a=50.000.00(1.044)

(18)

50,000.00 ( 2.17074583287910578440507440 it did not round off as the exact decimal is needed.

a = 108.537.29a=108.537.29

Step-by-step explanation:

Hope This Help you!!

Step-by-step explanation:

Put a point at (5,3) then go up 3 and right 5 for the second point then do it again for the third point.

Answer:

80 boxes of cookies

Step-by-step explanation:

First, we have to find 1% by taking

32 divided by 40 = 0.8

Then we take it times 100%

0.8 x 100 = 80 boxes of cookies

Jean want to sell 80 boxes of cookies

Answer:

7x=11

Step-by-step explanation:

do it

Answer:

X < 31

Step-by-step explanation:

Answer: X<31

Hope this helps!

a)Since d^2 v = 0, we can conclude that dw = 0. Therefore, every exact form is closed. b) the l-form w = f1(x)da1 + f2(x)da2 + f3(x)da3 in R^3 is closed if and only if (∂fi/∂aj) - (∂fj/∂ai) = 0 for all i, j.

a) To show that every exact form is closed, we need to demonstrate that if a form w is exact, then dw = 0.

Let's assume that w is an exact form, which means there exists a form v such that w = dv. Now, we need to calculate dw.

Using the exterior derivative operator d, we have:

dw = d(dv)

By applying the exterior derivative twice, we can use the property that d^2 = 0:

dw = d(dv) = d^2 v = 0

b) Now, let's consider the l-form w = f1(x)da1 + f2(x)da2 + f3(x)da3 in R^3, where a1, a2, and a3 are the coordinate differentials. We want to determine the conditions under which w is closed, i.e., dw = 0.

The exterior derivative of w is given by:

dw = df1 ∧ da1 + df2 ∧ da2 + df3 ∧ da3

To simplify this expression, we can use the property that the exterior derivative of a function f is given by df = ∑ (∂f/∂xi) dxi, where ∂f/∂xi represents the partial derivative of f with respect to xi.

Using this property, we can rewrite dw as:

dw = (∂f1/∂a1)da1 ∧ da1 + (∂f2/∂a2)da2 ∧ da2 + (∂f3/∂a3)da3 ∧ da3

Since the coordinate differentials da1, da2, and da3 are anti-symmetric, we have da1 ∧ da1 = da2 ∧ da2 = da3 ∧ da3 = 0. Therefore, the terms involving the same coordinate differentials vanish.

Thus, dw simplifies to:

dw = (∂f1/∂a1)da1 ∧ da1 + (∂f2/∂a2)da2 ∧ da2 + (∂f3/∂a3)da3 ∧ da3

= 0 + 0 + 0

= 0

Therefore, dw = 0 if and only if (∂f1/∂a1)da1 ∧ da1 + (∂f2/∂a2)da2 ∧ da2 + (∂f3/∂a3)da3 ∧ da3 = 0.

Using the antisymmetry property of the wedge product, this condition is equivalent to (∂f1/∂a2) - (∂f2/∂a1) = (∂f2/∂a3) - (∂f3/∂a2) = (∂f3/∂a1) - (∂f1/∂a3) = 0.

This condition represents the equality of mixed partial derivatives of the functions fi(x) with respect to the coordinate variables aj and ai.

Learn more about derivative at: brainly.com/question/29144258

#SPJ11

The central angle of a circle when you know the radius and arc length, you can use the formula:

Central angle (in radians) = Arc length / Radius

To find the central angle of a circle when you know the radius and arc length, you can use the formula:

Central angle (in radians) = Arc length / Radius

If you want the central angle in degrees, you can convert it using the fact that there are 2π radians in a full circle (360 degrees):

Central angle (in degrees) = (Arc length / Radius) * (180 / π)

Make sure to use consistent units for the arc length and radius, such as meters or centimeters, to obtain accurate results.

To know more about central angle:

https://brainly.com/question/29150424

#SPJ4

Answer:

y = x + 2

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = \(\frac{2-0}{0-(-2)}\) = \(\frac{2}{0+2}\) = \(\frac{2}{2}\) = 1

the line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = x + 2 ← equation of line

Answer:

(-2,3)

Step-by-step explanation:

The sum for each geometric sequence is 62.

Given:

Geometric sequence,

2 4 8 16 32

Number of terms n = 5

First term a = 2

common ratio r = 4/2

= 2

Sum \(S_5 = a(r^n-1)/r-1\)

= 2(2^5 - 1)/2-1

= 2(32 - 1)/1

= 2(31)/1

= 2*31

= 62

Learn more about the geometric progression here:

https://brainly.com/question/4853032

#SPJ4

Answer:

Step-by-step explanation:

The revenue function is given to you, it's just not given in equation form. In equation form, the function is

R(p) = p(120 - 4p)

If we are looking for the number of tickets that causes the revenue to be $0, we replace R(p) with 0 and solve for p.

0 = p(120 - 4p). That means, by the Zero Product Property, that

p = 0 or 120 - 4p = 0 which gives us, when we solve each one of those equations, that

p = 0 or

120 = 4p and

p = 30. The reasoning is the bold statement up above.

The equation we would use to determine the number of tickets needed to sell for the revenue to be $600 will be

600 = p(120 - 4p)

Answer:

D. False; supplement is an obtuse angle

Step-by-step explanation:

An acute angle is measured less than 90°, therefore A and C can't be true.

B also can't be true because the sum of the angles must add up to 180°, therefore the supplement has to be an obtuse angle.

Therefore, D is correct.

The statement is false.

The correct explanation is:

D. False; the supplement of an acute angle is an obtuse angle.

We know that,

An acute angle is an angle that measures less than 90 degrees.

The supplement of an angle is the angle that, when added to the original angle, results in a sum of 180 degrees (a straight angle).

Since the straight angle measures exactly 180 degrees, the supplement of an acute angle must be larger than the acute angle itself, making it an obtuse angle (an angle that measures more than 90 degrees).

As, the supplement of an acute angle is 180 degrees minus the measure of the acute angle, it will always be greater than 90 degrees.

Therefore, the supplement of an acute angle is an obtuse angle, not a right angle.

An acute angle is measured less than 90°, therefore A and C can't be true. B also can't be true because the sum of the angles must add up to 180°, therefore the supplement has to be an obtuse angle.

Hence, The statement is false.

The correct explanation is:

D. False; the supplement of an acute angle is an obtuse angle.

To learn more on angle click:

brainly.com/question/28451077

#SPJ3

The expression for the nth term an, for the infinite series s=∑n=1[infinity]an is ∑n=4¹⁶an = 468

We know that the sum of the first n terms of the series is given by sn. Therefore, we can find an expression for the nth term an by taking the difference between successive values of sn:

sn - sn-1 = an

(4-4n²) - (4-4(n-1)²) = an

Simplifying this expression, we get:

an = 8n - 4

Now we can use this expression to find the values of ∑n=1¹⁰an and ∑n=4¹⁶an:

∑n=1¹⁰an = a1 + a2 + ... + a10

= (81 - 4) + (82 - 4) + ... + (8*10 - 4)

= 76

Therefore, ∑n=1¹⁰an = 76.

Similarly,

∑n=4¹⁶an = a4 + a5 + ... + a16

= (84 - 4) + (85 - 4) + ... + (8*16 - 4)

= 468

Therefore, ∑n=4¹⁶an = 468.

Know more about expression here:

https://brainly.com/question/14083225

#SPJ11

Answer:

24square unit

Step-by-step explanation:

triangle area=1/2.b.h

=1/2.8.6=24

Answer:

soln,

here,1st and 2nd case for a

1st case

so,a=3/2g.

2nd case

a=2/3g.

3rd and 4th case for X

3rdcase

(U+4)/2=X

X=(U+4)/2.

4th case

X=(U+4)/2.

The value of y that satisfies the equation is 3.35 or - 5.35.

The value of y that satisfies the equation is calculated as follows;

The given equation;

√ (y + 3) + √ ( y - 2) = 5

Square both sides of the equations as follows;

[√ (y + 3) + √ ( y - 2) ]² = 5²

y + 3 + 2(y + 3)(y - 2) + y - 2 = 25

2y + 1   +   2(y² + y - 6) = 25

2y + 1 + 2y² + 2y - 12 = 25

Collect similar terms and simplify the equation;

2y²  +  4y - 36 = 0

divide through by 2;

y² + 2y - 18 = 0

Solve the quadratic equation using formula method as follows;

a = 1, b = 2, c = -18

y = 3.35 or - 5.35

Learn more about quadratic equation here: https://brainly.com/question/1214333

#SPJ1

Answer:

189.571428571 miles or km

Step-by-step explanation:

Just deduct the last odometer reading with the first one and divide by the number of days,

(11,477-10,150)/7 = 189.571428571

Answer:

'

\( \sin(a) = \frac{7}{25} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.28 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {16}^{0} {15}^{'} \)

THE ANSWER IS FIRST OPTION

Answer:

-2

Step-by-step explanation:

The interval [-6. -4] refers to x values.

At x = -6, in the line in the middle of -4 and -8, y = 0 at the x axis

At x = -4, y = -4. We know this because when the function crosses x = -4, y = -4 at that point.

The average rate of change is equal to (change in y)/ (change in x) = (yfinal - yinitial) / (xfinal - xinitial) (or the other way around in terms of final and initial)

= (-4 - 0) / (-4 - (-6)) = -4 / (-4 + 6) = -4/2 = -2

The amount of pot holders Brent sold for 58 weeks is 3016

He sells 52 pot holders each week.

This means for every week, he sold 52 pot holders. Therefore, the amount of pot holders he sold for 58 weeks can be solved as follows:

1 week = 52 pot holders

58 weeks  = ?

cross multiply

number of pot sold for 58 weeks = 58 × 52

number of pot sold for 58 weeks = 3016

learn more on sells here:https://brainly.com/question/17562675

#SPJ1

the reason 3 is AA, because from 1. we have the equality of one angle, then fron 2 we have that other angle is equal (by definition of sine and cosine functions) . then the triangles are similar

Answer:

The solution to the equation 2(x+4) = 5 is x = -3/2.

Step-by-step explanation:

To solve the equation 2(x+4) = 5, we can use the following steps:

Distribute the 2 on the left side of the equation:

2x + 8 = 5

Subtract 8 from both sides of the equation:

2x = -3

Divide both sides of the equation by 2:

x = -3/2

Therefore, the solution to the equation 2(x+4) = 5 is x = -3/2.