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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.

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Answer: f(x) = mx+ b

slope = m = $25 / month

This means that for every month (x) that goes by, the total value of the stock (f(x)) will increase by $25.

y-intercept = b = $525

This is the amount of money in the account at time = 0. This will be equal to the original investment of $525.

f(x) = mx+ b = 25x + 525

Step-by-step explanation:

The analysis of the matrices and vectors components indicates;

a) coa(A) = 1

b) <A, B> = 37

c) ||u|| ≈ 91.79

A vector is an mathematical object has magnitude and direction. Vector quantities can be represented by an ordered list of numbers, representing the components of the vector.

a) The cosine of the angle between the vectors, can be obtained from the dot product formula as follows;

cos(A) = (5)·(0) + (0)·(0) + (82)·(1) = 82

The magnitudes of the vectors are; ||u|| = √(5² + 0² + 82²) = 82

||v|| = √(0² + 0² + 1²) = 1

cos(A) = (u·v)/(||u||·||v||) = 82/82 = 1

cos(A) = 1

b) The inner product of the matrices;  \(A=\begin{bmatrix} 4&7 \\ 8& 4 \\\end{bmatrix}\) and \(B = \begin{bmatrix}5 &-1 \\ 3&0 \\\end{bmatrix}\) can be found from the sum of the product of the corresponding entries of the matrices as follows;

<A, B> = 4 × 5 + 7 × (-1) + 8 × 3 + 4 × 0 = 37

The inner <A, B> = 37

c) The norm of a vector is defined as the square root of the sum of the squares of the components of the vector, therefore;

||u|| = √(|2 + 26i|² + |1 + 88i|² + |0|²)

|2 + 26i| = √(2² + 26²) = √(680)

|1 + 88i| = √(1² + 88²) = √(7745)

||u|| = √((√(680))² + (√(7745))² + (0)²) = √(8425) ≈ 91.79

The norm of the vector is ||u|| ≈ 91.79

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Answer:

its d because who askes that question

Answer:

You need to find what x is bro

Step-by-step explanation:

100 - j = j - 40

100 + 40 = j + j

140 = 2j

140/2 = j

70 = j

_____

RainbowSalt2222 ☔

(a) The expressions for the length, width, and height can be 3x, (2x + 5), and (x - 3).

(b) The least possible integer value of x for the rectangular solid to exist is 4.

a. To express the length, width, and height of the right rectangular prism in terms of x, we can factor the volume expression, 6x³ - 3x² - 45x.

Factoring out the greatest common factor, 3x:

3x(2x² - x - 15)

Now, factor the quadratic expression:

3x(2x² - x - 15)

To factor the quadratic expression further, find two numbers whose product equals the constant term (-15) and whose sum equals the coefficient of the linear term (-1). These two numbers are -5 and 3.

3x(2x + 5)(x - 3)

Thus, the expressions for the length, width, and height can be 3x, (2x + 5), and (x - 3)

b. For the rectangular solid to exist, all dimensions (length, width, and height) must be positive. Let's examine the constraints on x for each dimension:

1. 3x > 0
2. 2x + 5 > 0 → x > -5/2
3. x - 3 > 0 → x > 3

Since x must satisfy all three inequalities, the least possible integer value of x for the rectangular solid to exist is x = 4.

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From these data, it is difficult to draw any meaningful conclusions about which waiters and waitresses earn larger tips.

The data only measure the percentage of the total bill left as a tip for one randomly selected waiter and one randomly selected waitress from each of the 50 restaurants during a 1-week period, which does not provide a large enough sample size to draw any meaningful conclusions. In order to draw more reliable conclusions, a larger, more comprehensive study should be conducted that measures the tips for multiple waiters and waitresses from each restaurant over a longer period of time.

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Answer:

Please provide a diagram as the question is confusing.

Answer: True

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

they both simplify to 3:1

Answer:

Yes

Step-by-step explanation:

To see whether two fractions are equivalent or not we need to simplify them

9:3 can be simplified to 3:1 as the biggest common divisor of 9 and 3 is 3

6:2 can be simplified to 3:1 since the biggest common divisor of this set is 2

as seen we can simplify both to 3:1 so yes, they are equivalent

At the 0.10 level of significance, the evidence is insufficient to disprove the assertion that the proportion is 48%.

Based on the given conditions,

The analyst or researcher establishes a null hypothesis based on the research question or problem that they are trying to answer. Depending on the question, the null may be identified differently. For example, if the question is simply whether an effect exists (e.g., does X influence Y?) the null hypothesis could be H0: X = 0. If the question is instead, is X the same as Y, the H0 would be X = Y. If it is that the effect of X on Y is positive, H0 would be X > 0. If the resulting analysis shows an effect that is statistically significantly different from zero, the null can be rejected.

Let's start by outlining the research's null and alternate hypotheses;

A newsletter publisher believes that 60`% of their readers own a Rolls Royce.

This means that the null hypothesis is:

H0: p = 0.48

That is, that the proportion of their readers who own a Rolls Royce is of 0.48.

A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim.

The alternate hypothesis is:

Ha: p ≠ 0.48

Now that he fails to disprove the null hypothesis based on the evidence, we will draw the following conclusion:

Therefore,

At the 0.10 level of significance, the evidence is insufficient to disprove the assertion that the proportion is 48%.

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Answer:

4m x 11m

Step-by-step explanation:

4 is your width. 11 is your length.

4 x 4=16 > 11

Answer:

  x° ≈ 58.0°

Step-by-step explanation:

Given a right triangle with an acute angle marked x°, the adjacent side marked 9, and the hypotenuse marked 17, you want the measure of the angle.

You are given the side adjacent to the angle, and the hypotenuse. The mnemonic SOH CAH TOA reminds you that ...

  Cos = Adjacent/Hypotenuse

  cos(x°) = 9/17

The angle is found using the inverse cosine function.

  x° = arccos(9/17)

  x° ≈ 58.0°

The measure of the angle marked x° is about 58.0°.

__

Additional comment

You will notice the calculator is set to DEG mode, so the angle is given in degrees.

Answer:

angle x° is equal to 58.03°

Step-by-step explanation:

Using pythagorean theorem, we can find the length of opposite side being the square root of 17²-9² which is 14.42. After you would use inverse tan (Tan^-1) and put in 14.42/9 and get the answer.

Answer:

Circumference of the circle = 15.70 units.

Step-by-step explanation:

In this question three sides of a triangle has been given as 3, 4 and 5 units.

These are the sides of a right angle triangle.

3² + 4² = 5² [By Pythagoras theorem]

9 + 16 = 25

If this triangle is inscribed in a circle then Hypotenuse of the triangle will be the diameter of the circle.

Theorem for the angle formed in the semicircle says, "angle formed by drawing the the lines from the ends of the diameter of a circle to it's circumference form a right angle."

Therefore, radius of the circle will be  units

Now we know the formula of circumference of the circle = 2πr

= 2π(2.5)

= 2(3.14)(2.5)

= 15.70 units

The statement is false, a counterexample is given by using the numbers 1 and -1.

Here we have the statement:

"The sum of two numbers is always greater than their difference"

So we just need to find two numbers such that the statement is false.

This is really trivial, for example, we can propose the numbers 0 and 0.

The sum gives 0 + 0 = 0

The difference is 0 - 0 = 0

The sum is not greater than the difference.

Now, I will propose a less trivial counterexample, let's use the numbers 1 and -1.

The sum gives 1 + (-1) = 1 - 1 = 0

The difference gives: 1 - (-1) = 1 + 1 = 2

The difference is larger than the sum, so we found a counterexample for the given statement.

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Answer:

68

Step-by-step explanation:

Use the formula provided...

6 and 11 are b1 and b2, and 8 is h.

So, 6+11 = 17

17/2 = 8.5

8.5*8 = 68

Answer:

Kilogram

Step-by-step explanation:

in science and technology, the weight if body in a particular reference frame is defined as the force that gives the body and acceleration equal to the local acceleration of free fall in that reference frame

in this kind of exercises you need to work in 3 steps:

1. split your figure into shapes you know

2. calculate the area of those separate shapes

3. add the areas

1. (see picture)

2. shape 1 (triangle)

A= 8m×3m

A= 24m²

2. shape 2 (rectangle)

A= 8m×4m

A= 32m²

3.

total A= A1+ A2

A= 24m²+32m²

A= 56m²

Divide the difference of the heights by the difference of the times.

Answer:

vertex = (1, - 9 )

Step-by-step explanation:

The x- coordinate of the vertex is at the midpoint of the zeros.

Given

f(x) = (x - 4)(x + 2)

Find the zeros by letting f(x) = 0 , that is

(x - 4)(x + 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 4 = 0 ⇒ x = 4

Then

\(x_{vertex}\) = \(\frac{-2+4}{2}\) = \(\frac{2}{2}\) = 1

Substitute x = 1 into f(x) for corresponding y- coordinate

f(1) = (1 - 4)(1 + 2) = (- 3)(3) = - 9

Vertex = (1, - 9 )

Answer:

16 months

Step-by-step explanation:

1/2 = 8 (multiply 2 to both sides of the equation)

1 = 16

Answer:

2.05m

Step-by-step explanation:

Answer:

30ft

Step-by-step explanation:

Don't worry I just know

The simplified expression is\($-11p^2-8p+\frac{7}{3}$, where $a=-11$ and $b=\frac{7}{3}$.\)

To simplify the given expression, let's break it down step by step.
Step 1: Simplify the expressions inside the parentheses:
\($((5p+1)-2p\cdot4)(3)(4-1\div3)(6p-9)$$=(5p+1-8p)(3)(4-\frac{1}{3})(6p-9)$$=(-3p+1)(3)(\frac{11}{3})(6p-9)$\)
Step 2: Simplify the expression in the first set of parentheses:
\($=(-3p+1)(\frac{11}{3})(6p-9)$\\\)
Step 3: Expand the expression using the distributive property:
\($=-\frac{33}{3}p^2+11p+6p-\frac{11}{3}-18p+6$\)
Step 4: Combine like terms:
\($=-11p^2-8p+\frac{7}{3}$\\\)
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Answer:

I’m guessing that you want to know how much is in the container so it’s 56 ounces

Step-by-step explanation:

if 64 is the max just do 64 - 8 and you’ll get whats left

Answer:

It would be triangles A & C

Step-by-step explanation:

This is because all of the angles within triangle add up to 180, with this, you can do the following to find the missing sides:

Tri A:

180-110-30 = 40

Tri B:

180-45-30 = 105

Tri C:

180-110-40 = 30

When you do this, look at the angles of the triangles. You see that Triangle A with the angles 110, 30, and 40 all match with those seen in Triangle C.

Therefore, the two triangles are congruent.

If we take a simple random sample of size n=500 from a population of size 5,000,000, the variability of our estimate will be  (c) about the same as the variability for a sample  size n=500 from a population of size 50,000,000.

The variability of an estimate primarily depends on the sample size (n) rather than the population size. Since both scenarios have a sample size of 500, the variability will be approximately the same.

The correct answer is (d) slightly greater than the variability for a sample size n = 500 from a population of size 50,000,000. This is because the larger the population size, the smaller the sampling variability. In other words, if we take a sample of the same size from a larger population, there will be more variability due to the increased number of potential outcomes. However, the difference in variability between a population size of 5,000,000 and 50,000,000 is not significant enough to make a substantial impact on the estimate.

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Answer:

A. 2

B.1

C.3

D. (should be x and 7x but that isnt an answer choice so) no

Step-by-step explanation:

For given expression x + 3 + 7x,

a) the number of terms in an algebraic expression = 2

b) the numerical coefficient of the first term = 1

c) the constant term = 3

d) the like terms are x and 7x

"It is a mathematical expression that consists of variables, numbers and operations."

"It is a value or number that never changes in expression."

"The like terms are defined as the terms that contain the same variable which is raised to the same power."

For given example,

We have been given an expression  x + 3 + 7x

a) x + 3 + 7x = 3 + (1 + 7)x

                    = 3 + 8x

So, the number of terms in the algebraic expression = 2

b) for given expression x + 3 + 7x,

the first term is x

x = (1) × (x)

the numerical coefficient of the first term is 1.

c) for given expression x + 3 + 7x,

the constant term = 3

d) for given expression x + 3 + 7x,

the like terms are x and 7x

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