Mrs. Drilon’s electric meter reading last month was 1023, and her present electric meter reading is 1053. What is her electric consumption?

Answer:

the answer should be b (14)

Answer: hydrogen 6

Step-by-step explanation:

the orthogonal projection projv(w) of vector w = [-2, 0, 1] onto subspace V spanned by b₁ and b₂ is [-1/3, -5/6, 1/6].

What is vector?

A vector is a mathematical object that represents both magnitude (or length) and direction. It is commonly used to describe physical quantities such as displacement, velocity, force, and more.

To compute the orthogonal projection projv(w) of vector w onto subspace V, we can use the formula:

\(projv(w) = (w . b_1) / ||b_1||^2 * b_1 + (w . b_2) / ||b_2||^2 * b_2,\)

where "·" denotes the dot product and ||b|| represents the norm (or length) of vector b.

Given:

b₁ = [2, 2, 2]

b₂ = [0, 2, -2]

w = [-2, 0, 1]

Let's calculate the projection step by step:

Step 1: Calculate the dot products between w and the basis vectors b1 and b₂:

w · b₁ = (-2)(2) + (0)(2) + (1)(2) = -4 + 0 + 2 = -2

w · b₂ = (-2)(0) + (0)(2) + (1)(-2) = 0 - 0 - 2 = -2

Step 2: Calculate the squared norms of b₁ and b₂:

\(||b_1||^2 = (2^2) + (2^2) + (2^2) = 4 + 4 + 4 = 12\\\\||b_2||^2 = (0^2) + (2^2) + (-2^2) = 0 + 4 + 4 = 8\)

Step 3: Compute the scalar projections:

\((w . b_1) / ||b_1||^2 = -2 / 12 = -1/6\\\\(w . b_2) / ||b_2||^2 = -2 / 8 = -1/4\)

Step 4: Calculate the projections:

projv(w) = (-1/6) * [2, 2, 2] + (-1/4) * [0, 2, -2]

= [-1/3, -1/3, -1/3] + [0, -1/2, 1/2]

= [-1/3, -5/6, 1/6]

Therefore, the orthogonal projection projv(w) of vector w = [-2, 0, 1] onto subspace V spanned by b₁ and b₂ is [-1/3, -5/6, 1/6].

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The polynomial that represent the perimeter of the rectangle is 14x - 16.

The perimeter of the rectangle when x = 6 cm is 68 cm.

The polynomial that represent the area of the rectangle is 6x² - 8x.

A rectangle is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

The perimeter of a rectangle can be found as follows:

perimeter of a rectangle = 2(l + w)

where

Therefore,

perimeter of the rectangle = 2(6x - 8 + x)

perimeter of the rectangle = 2(7x - 8)

perimeter of the rectangle = 14x - 16

Let's find the perimeter when x = 6cm

Therefore,

perimeter of the rectangle = 14x - 16

perimeter of the rectangle = 14(6)- 16

perimeter of the rectangle = 84 - 16

perimeter of the rectangle = 68 cm

The area of the rectangle can be found as follows:

area of the rectangle = lw

Hence,

area of the rectangle = x(6x - 8)

area of the rectangle = 6x² - 8x

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Answer:

B) 70 degrees

Step-by-step explanation:

The sum of angles in a triangle = 180 degrees

We are given 2 angles in the triangle = 70° and 40°

The measure of the third angle is

180° = 70° + 40° + 3rd Angle

3rd Angle = 180° - ( 70° + 40°)

= 180° - 110°

= 70°

The measure of the other angle is 70°

Option B is the correct option.

Answer:

x=138

Step-by-step explanation:

The question is a high school Mathematics problem. It involves using inequalities to solve a practical problem about a shipping container's weight limit. The answer found was that a maximum of 138 crates can be added to the container.

In this Mathematics problem, we have a shipping container that can hold a maximum weight of 27500 kilograms and there are already shipments totaling 6800 kilograms inside. We want to find out how many 150-kilogram crates (let's call this number 'x') can be added to the container without exceeding the maximum allowable weight.

Firstly, we build an inequality. The total weight of the container should not exceed 27500 kilograms, so we have:

6800 (the weight of the already loaded shipments) + 150*x (the weight of the x crates) ≤ 27500

This simplifies to:

150*x ≤ 20700 (because 27500-6800=20700)

Finally, to solve the inequality for 'x', divide throughout by 150:

x ≤ 138 (because 20700/150=138)

So, 138 is the maximum number of 150-kilogram crates that can be loaded into the shipping container without violating the weight constraint.

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Answer:

1. b ∈ B 2. ∀ a ∈ N; 2a ∈ Z 3. N ⊂ Z ⊂ Q ⊂ R 4. J ≤ J⁻¹ : J ∈ Z⁻

Step-by-step explanation:

1. Let b be the number and B be the set, so mathematically, it is written as

b ∈ B.

2. Let  a be an element of natural number N and 2a be an even number. Since 2a is in the set of integers Z, we write

∀ a ∈ N; 2a ∈ Z

3. Let N represent the set of natural numbers, Z represent the set of integers, Q represent the set of rational numbers, and R represent the set of rational numbers.

Since each set is a subset of the latter set, we write

N ⊂ Z ⊂ Q ⊂ R .

4. Let J be the negative integer which is an element if negative integers. Let the set of negative integers be represented by Z⁻. Since J is less than or equal to its inverse, we write

J ≤ J⁻¹ : J ∈ Z⁻

The velocity of a train starting from rest moves with a uniform acceleration of 5 m/s2 would be 100 m/s.

Acceleration = 5 m/s2

Distance, s = 1 km = 1000m

Intital velocity, u=0 m/s

We know that, Newton's equation of motion,

s = ut+ 1/2 at^2

1000 = 0 + 1/2 x 5 x t^2

1000 = 5/2 x t^2

2000/ 5 = t^2

t = 20 s

Also,a = (v-u)/t

5 = v-0/20

100 = v

v = 100 m/s

Hence, the velocity of a train starting from rest moves with a uniform acceleration of 5 m/s2 would be 100 m/s.

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The statement about the given expression is described below.

A math expression consist numbers, variables and operators its operation addition, subtraction, multiplication, and division. The parts of the expression that are connected with addition and subtraction are considered as terms.

Expression, (a+b+c)(d+e+f)(a+b+c)(d+e+f) = (a +b+c)^2(d+e+f)^2

Thus, given expression has two factors which consist 3 terms.

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Answer:

3x^2+4x+81

Step-by-step explanation:

so this is a composite function.

you need to plug g(x) into f(x)

3(x-6)^2+4(x-6)-3

3(x^2+36)+4x-24-3

3x^2+108+4x-27

3x^2+4x+81

The approximate measure of angle YZX is 39.4°. Option(B) is the correct answer.

we know that

In the right triangle XYZ

\(tan(Y Z X)= \frac{opposite side angle YZX}{adjacent side angle YZX}\)

In this problem,

Opposite side angle YZX= XY = 12.4cm

Adjacent side angle YZX= YZ = 15.1cm

substitute the values,

\(tan ( Y Z X) = \frac{12.4}{15.1}\)

\(Angle ( Y Z X) = arc tan( \frac{12.4}{15.1} )\)

Angle ( Y Z X) = 39.4°

So,  the approximate measure of angle YZX is 39.4°.

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The complete question is:

In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm. Which is the approximate measure of angle YZX?

A .34.8°

B .39.4°

C .50.6°

D. 55.2°

The items for which the bakery owner receives certain amount of money: order (birthday cake and cookies) on May 2; order (wedding cake and deserts) on May 5; order (anniversary cake) on May 6; order (breads and desserts for a conference) on May 7 and bakery sales on May 7.

$- 147.95 in the table means spending of $147.95 for baking supplies.

On May 5.

The bakery owner receives more money on May 5.

Here in the table the amount with positive value represents the received money and the amount with negative value represents the spending money.

So the received amount for the items are: order (birthday cake and cookies) on May 2; order (wedding cake and deserts) on May 5; order (anniversary cake) on May 6; order (breads and desserts for a conference) on May 7 and bakery sales on May 7.

$- 147.95 in the table means spending of $147.95 for baking supplies.

On May 5.

for order of wedding cake and desserts receive $240.55 and spend $147.95 for baking supplies.

Since 240.55 > 147.95

So the bakery owner receives more money on May 5.

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The question is incomplete. The complete question will be -

Answer:

  about 626.1 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right triangle. The given angle is opposite the given side, and we are asked to find the hypotenuse. The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

__

Solving for the hypotenuse, we get ...

  Hypotenuse = Opposite/Sin

  cable length = (balloon height)/sin(53°) = (500 ft)/0.79864

  cable length ≈ 626.1 ft

Answer:

0.09

Step-by-step explanation:

9% written as a decimal is 0.09

8%=0.08

7%=0.07

6%=0.06

5%=0.05

4%=0.04

3%=0.03

2%=0.02

1%=0.01

Answer:

a=-5

Step-by-step explanation:

When you do this every time the slope will go down 2 and over 1 which is rise over run or slope. You can see the y coordinates go down 4 points and every time is should go down 2 so you will know that it would have gone down 2 times so a+2 should equal -3 so if we subtract 2 from both sides we would get a=-5 and that is our answer.

Answer:

a = - 5

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 2

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

with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (a, 3)

m = \(\frac{3+1}{a+3}\) = \(\frac{4}{a+3}\) = - 2 ( multiply both sides by a + 3 )

- 2(a + 3) = 4 ( divide both sides by - 2 )

a + 3 = - 2 ( subtract 3 from both sides )

a = - 5

Answer:

Step-by-step explanation:

y>3x+1

y≤-2x-4

Answer:

The circumference is:

\(C=84.8\: cm\)

Step-by-step explanation:

The pizza is a circle, so the circumference equation is given by:

\(C=2\pi R\)

Where:

Therefore, the circumference is:

\(C=2\pi*13.5\)

\(C=84.8\: cm\)

I hope it helps you!

The child passes through 18π radians in the course of the carousel ride.

To determine the number of radians the child passes during the 6-minute ride on the carousel, we need to know the distance traveled in terms of radians.

Since there are 20 horses spaced evenly around the carousel, each horse is separated by an angle of 360/20 = 18 degrees or π/10 radians.

Therefore, during one rotation of the carousel, the child passes through 20π/10 = 2π radians. And since the carousel completes one rotation every 40 seconds, the angular velocity is 2π/40 = π/20 radians per second.

To find the total distance traveled in radians during a 6-minute ride, we need to multiply the angular velocity by the time elapsed.

6 minutes is equal to 360 seconds,

so the child passes through π/20 x 360 = 18π radians during the ride.

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The three methods for the evaluation of the accuracy of a classifier are Hold-out method, Cross-validation, and Bootstrap. The major differences among the three methods are explained below:a) Hold-out method:This method divides the original dataset into two parts, a training set and a test set.

The training set is used to train the model, and the test set is used to evaluate the model's accuracy. The advantage of the hold-out method is that it is simple and easy to implement. The disadvantage is that it may have a high variance, meaning that the accuracy may vary depending on the particular training/test split.b) Cross-validation:This method involves dividing the original dataset into k equally sized parts, or folds. This process is repeated k times, with each fold used exactly once as the test set.

The advantage of cross-validation is that it provides a more accurate estimate of the model's accuracy than the hold-out method, as it uses all of the data for training and testing. The disadvantage is that it may be computationally expensive for large datasets, as it requires training and testing the model k times.c) Bootstrap:This method involves randomly sampling the original dataset with replacement to generate multiple datasets of the same size as the original. A model is trained on each of these datasets and tested on the remaining data.

In conclusion, the hold-out method is the simplest and easiest to implement, but may have a high variance. Cross-validation and bootstrap are more accurate methods, but may be computationally expensive for large datasets.

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answer

8/25

Step-by-step explanation:

so you would keep the first fraction (2/15) then you would change the symbol then you would flip the other fraction (5/12). then you would multiply 2*12=24 and 15*5=75. then you would simplifie it. it would be 8/25.

To create a valid matched pair test, the researcher should consider random assignment, similarity, blinding, sample size, and duration.

To create a valid matched pair test, the researcher should consider the following:

Random assignment: The pairs should be randomly assigned to the treatment and control groups to avoid bias.

Similarity: The pairs should be matched based on similar characteristics that could affect the outcome, such as age, gender, prior algebra performance, and socioeconomic status.

Blinding: The researcher should ensure that the students do not know which group they are assigned to, and the person administering the test should also be blinded to the group assignments.

Sample size: The sample size should be large enough to provide sufficient statistical power to detect a meaningful difference between the two groups.

Duration: The length of the study should be sufficient to allow for meaningful differences to occur between the groups, but not so long that other factors could interfere with the outcome.

By considering these factors, the researcher can create two groups that are well-matched and comparable, allowing for a valid matched pair test to be conducted.

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Answer:

x is 49

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

i just took the test

The value of the unknown number x is 8.

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

The given numbers include:

The sum of the given numbers is calculated as follows:

\(2 + 4 + \text{x} + 6 = 12 + \text{x}\)

The mean of the given 4 numbers is calculated as follows:

\(\dfrac{12+\text{x}}{4} =5\)

\(12+\text{x}=20\)

\(\text{x}=20-12\)

\(\text{x}=8\)

Thus, the value of the unknown number x is 8.

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The measure of the supplement of angle GEF is calculated as: 140 degrees.

The supplement of an angle is the angle that, when added to the original angle, forms a straight line or 180 degrees. In other words, the supplement of an angle is the angle that completes the original angle to make it a straight angle.

For example, if the original angle is 30 degrees, then the supplement of that angle is 150 degrees, because 30 + 150 = 180. Similarly, if the original angle is 75 degrees, then the supplement of that angle is 105 degrees, because 75 + 105 = 180.

Given that the measure of angle GEF is 40°, to find the measure of the supplement of angle GEF, subtract 40 from 180.

Therefore:

The measure of the supplement of angle GEF = 180 - 40

= 140 degrees.

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Answer:

Sometimes

Step-by-step explanation:

The test statistic is approximately 1.22, rounded to two decimal places.

The test statistic measures the deviation of the sample proportion from the population proportion under the null hypothesis and helps determine the statistical significance of the claim.

To calculate the test statistic, we use the formula:

z0 = (p′ - p0) / sqrt(p0 * (1 - p0) / n)

Where:

p′ = sample proportion = 0.60

p0 = population proportion under the null hypothesis = 0.49

n = sample size = 30

Plugging in the values, we have:

z0 = (0.60 - 0.49) / sqrt(0.49 * (1 - 0.49) / 30)

Calculating the expression within the square root:

sqrt(0.49 * (1 - 0.49) / 30) ≈ 0.090

Substituting back into the formula:

z0 = (0.60 - 0.49) / 0.090 ≈ 1.22

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The number of Salmiah's marbles and the number of Devi's marbles at the beginning of the game are determined using mathematical operations as follows:

To determine the numbers, we use mathematical operations, including multiplication, subtraction, and addition.

The total number of lost marbles is determined as 12 by multiplying 6 by 2.

The difference between the beginning number of marbles and the lost marbles is computed by subtraction.

From the ending factors whose product will be 80, we add 6 each to determine the beginning numbers of marbles.

The total number of marbles at the beginning of the game = 30

The number of marbles lost by each contestant = 6

The total number of lost marbles = 12 (6 x 2)

The remaining number of marbles after the game = 18 (30 -12)

The factors of 18 that will become a product of 80 are 8 and 10.

The beginning number of marbles held:

Salmiah = 14 (8 + 6)

Devi = 16 (10 + 6)

Total marbles = 30

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Answer:

Step-by-step explanation:

Asymptote is the x axis for both functions. the y intercept is translated up to 125

A relation is a function if it has only One y-value for each x-value.

The asymptote and intercept of the given function compare to the asymptote and intercept of the function f(x) = 5ˣ

To find x- or y-intercepts, set the other variable equal to zero and solve in turn.

To find y-intercept: set x = 0 and solve for y. The point will be (0, y). To find x-intercept: set y = 0 and solve for x. The point will be (x, 0).

The asymptote is the x axis for both functions. the y intercept is translated up to 125.

Hence, asymptote is the x axis for both functions. the y intercept is translated up to 125.

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Answer:

reflexive property

Step-by-step explanation:

Here, we want to write the decimal as a percent

We first re-write as a fraction then multiply by 100%

We have this as;