Write the equation of the line in fully simplified slope-intercept form.

Answer:

15min

Step-by-step explanation:

1hr15min=60min+15min=75min

Street dance: Tap Dance =3:2 =3x:2x

Difference:3x-2x=x

3x+2x=75

5x=75

x=15

Answer:

The graph of the circle is not a function

Answer: 39,900

Step-by-step explanation:

      To round to the nearest hundred, we will look at the tens place. If it is at or above 5, we will round up. If it is 4 or below, we will stay the same.

\(39,9\boxed{4}4\), 4 < 5, so we round 39,944 to 39,900

Answer:

Step-by-step explanation:

No, the ordered pair (-2, 3) is not a solution to the system of linear equations. When substituted into the equations, the values do not result in the equations being true. For the first equation, 5(-2) + 3 = -7, which is not true. Similarly, for the second equation, -3(-2) + 2(3) = 0, which is also not true. Therefore, the ordered pair (-2, 3) is not a solution to the system of linear equations.

Given, the height \($h=6$, the base $b_1=9$ and $b_2=12$.\)

The area of the trapezoid is given by the formula,

\(\[A = \frac{1}{2}h(b_1+b_2)\]\)

Substitute the given values,  

\(\[A = \frac{1}{2} \times 6 \times (9+12)\]\\\)

Simplifying the above expression,

\(\[A = 45 \text{ square feet}\]\)

Therefore, the area of the trapezoid is $45$ square feet.

The perimeter of a two-dimensional geometric shape is the entire length of the boundary or outer edge. It is the sum of the lengths of all the shape's sides or edges.

The perimeter of a square, for example, is calculated by adding the lengths of all four sides of the square.

Similarly, to find the perimeter of a rectangle, sum the lengths of two adjacent sides and then double the result because there are two pairs of adjacent sides.

To know more about perimeter visit:

https://brainly.com/question/6465134

#SPJ11

The range in which the usage vary is from 682.77  kilowatt-hours to 2867.11  kilowatt-hours.

Given the charge of electricity charge is 6.434 cents  per​ kilowatt-hour.

Fixed customer charge = ​$7.81

Bill range = $51.74 to ​$​192.28

Since every value is in $ , we will first convert cents to dollar

per​ kilowatt-hour charge will be $6.434/100    ( as $1 = 100 cents )

per​ kilowatt-hour charge = $ 0.06434    …(1)

Lets us first find the lower range of usage

Last year's lowest bill was $51.74 (including the customer charge)

So last year lowest bill = $51.74-$7.81  = $43.93   …(2)

We know that (per KWh charge)x(no. of KWh used)=Total bill. …(3)

Substituting the values from (1) & (2) we get

(0.06434)x(no. of KWh used)=$43.93

no. of KWh used=\(\frac{43.93}{0.06434} = 682.77 KWh\)

Similarly we will solve for maximum KWh used

Lets us find the maximum range of usage

Last year's highest bill was $192.28 (including the customer charge)

So last year highest bill = $192.28-$7.81  = $184.47   …(4)

Substituting the value of (1) & (4) in (3) we get

(0.06434)x(no. of KWh used)=$184.47

no. of KWh used=\(\frac{184.47}{0.06434} =2867.11 KWh\)

Therefore ,  the The range in which the usage vary is from 682.77 kilowatt-hours to 2867.11  kilowatt-hours.

Learn more about Ratio here https://brainly.com/question/17489069

#SPJ4

Answer:

\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)

Step-by-step explanation:

\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)

The image of vector u under the linear transformation T is [-15, -24, -8], and the image of vector v is [3c, -8a, -4b].

Let's go through the calculation step by step to explain how we arrived at the images of u and v under the linear transformation T.

Given:

A = [0 0 3; -8 0 0; 0 -4 0]

u = [3; 2; -5]

v = [a; b; c]

To find the image of u under the linear transformation T, we need to multiply the matrix A with the vector u.

T(u) = A * u

Multiplying A and u:

[0 0 3; -8 0 0; 0 -4 0] * [3; 2; -5]

= [(0*3 + 0*2 + 3*(-5)); (-8*3 + 0*2 + 0*(-5)); (0*3 + (-4)*2 + 0*(-5))]

= [-15; -24; -8]

Therefore, T(u) = [-15; -24; -8].

To find the image of v under the linear transformation T, we multiply the matrix A with the vector v.

T(v) = A * v

Multiplying A and v:

[0 0 3; -8 0 0; 0 -4 0] * [a; b; c]

= [(0*a + 0*b + 3*c); (-8*a + 0*b + 0*c); (0*a + (-4)*b + 0*c)]

= [3c; -8a; -4b]

Therefore, T(v) = [3c; -8a; -4b].

Hence, the images of u and v under the linear transformation T are:T(u) = [-15; -24; -8]

T(v) = [3c; -8a; -4b].

These vectors represent the transformed coordinates of u and v under the linear transformation T.

Learn more about matrix here:https://brainly.com/question/28180105

#SPJ11

The area of the semicircle with the given diameter is 189.97 mm^2

The given parameters are

Diameter, d = 22 mm

The area of the semicircle is calculated as

A = 1/2 * pi * (d/2)^2

So, we have

A = 1/2 * 3.14 * (22/2)^2

Evaluate the expression

A = 189.97 mm^2

Hence, the area of the semicircle with the given diameter is 189.97 mm^2

Read more about area at:

https://brainly.com/question/22972014

#SPJ1

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\((3x) \times 3 - 2 = 1\)

\((3x \times 3) - 2 = 1\)

\(9x - 2 = 1\)

Add sides 2

\(9x - 2 + 2 = 1 + 2\)

Simplification

\(9x = 3\)

Divide sides by 9

\( \frac{9x}{9} = \frac{3}{9} \\ \)

\( \frac{9}{9} x = \frac{3}{9} \\ \)

\(x = \frac{3}{3 \times 3} \\ \)

\(x = \frac{1}{3} \\ \)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

56 students

Step-by-step explanation:

Given information:

• 448 students total

• \(\frac{3}{8}\) of 448 participate in after-school activities

• \(\frac{1}{3}\) of those \(\frac{3}{8}\) get home after 7 pm

To find how many students is \(\frac{1}{3}\) of those who participate in after-school activities, you first need to find the exact number of how many participate in after school activities:

The amount of students who participate in after-school activities is \(\frac{3}{8}\) the total number of students. So, multiply 448 × \(\frac{3}{8}\):

448 × \(\frac{3}{8}\)         Multiply.

\(\frac{1344}{8}\)               Simplify into a whole number.

1344 ÷ 8       Divide.

168

\(\frac{3}{8}\) of the total students is 168 students.

To find the amount of students that do not get home until after 7 pm, multiply 168 by \(\frac{1}{3}\):

168 × \(\frac{1}{3}\)          Multiply.

\(\frac{168}{3}\)                 Simplify into a whole number.

168 ÷ 3         Divide.

56

The amount of students that participate in after-school activities and get home after 7 pm is 56 students.

Answer:

56 students i will not give explanation

Answer:

\(-1\)

Step-by-step explanation:

\(\dfrac{1}{4}\cdot-4\\\)

Turn the 2nd term into an improper fraction

\(\dfrac{1}{4}\cdot-\dfrac{4}{1}\)

Cross reduce

\(1\cdot-1\)

which is \(-1\)

Answer:

Nickel is not a layer of earth. It is a white metal that belongs to the group of transition metals and is said to be present in the core of the Earth. Sial- refers to the upper layer of the Earth's crust. This layer has an abundance of minerals having aluminum and silicates.

Answer:

I dont see the following but these are the layers of the Earth

Step-by-step explanation:

Answer:

\(40 + 37 + 30 + 40 + 39 + 41 + 38 + n = 265 + n\)

1)

\( \frac{265 + n}{8} = 43\)

\(265 + n = 344\)

\(n = 79\)

2)

\( \frac{265 + n}{8} = 40\)

\(265 + n = 320\)

\(n = 55\)

3)

\( \frac{265 + n}{8} = 38\)

\(265 + n = 304\)

\(n = 39\)

The relative rate of change is the derivative of the function f(t) divided by f(t). we obtained the derivative of f(t) and divided it by f(t). We got a relative rate of change of -0.5 for f(t). We substituted the value of f(4) and calculated f'(4) to get a relative rate of change of -27.08.

Given function is f(t) = 100e^(-0.5t). The relative rate of change of this function is given by; f'(t)/f(t) = [-0.5(100e^(-0.5t))] / [100e^(-0.5t)]f'(t)/f(t) = -0.5 Therefore, the relative rate of change is -0.5. The relative rate of change of f(t) is -0.5. The relative rate of change is given by the derivative of the function f(t) divided by f(t).f'(t)/f(t) = [-0.5(100e^(-0.5t))] / [100e^(-0.5t)]f'(t)/f(t) = -0.5

We know that at t = 4,

f(4) = 100e^(-0.5(4))

= 54.16.

To evaluate the relative rate of change at t = 4, we substitute the value of f(4) into the above formula; f'(4)/f(4) = -0.5f'(4) = -0.5 * f(4)f'(4)

= -0.5 * 54.16f'(4)

= -27.08

Therefore, the relative rate of change of f(t) at t = 4 is -27.08.

This means that the function is decreasing at a rate of 27.08%.The question asked us to find the relative rate of change of the function f(t) = 100e^(-0.5t)

and evaluate it at t = 4.

The relative rate of change is the derivative of the function f(t) divided by f(t). Therefore, we obtained the derivative of f(t) and divided it by f(t). We got a relative rate of change of -0.5 for f(t). We then used this to evaluate the relative rate of change at t = 4.

We substituted the value of f(4) into the formula to get f'(4)/f(4) = -0.5.

We multiplied both sides by f(4) to get f'(4) = -0.5 * f(4).

We substituted the value of f(4) and calculated f'(4) to get a relative rate of change of -27.08.

To know more about derivative visit:

https://brainly.com/question/29144258

#SPJ11

The values of the missing sides are;

a.  x = 35. 6 degrees

b. x = 15

c. x = 22. 7 ft

d. x = 31. 7 degrees

To determine the values, we have;

a. Using the tangent identity;

tan x = 5/7

Divide the values

tan x = 0. 7143

x = 35. 6 degrees

b. Using the Pythagorean theorem

x² = 9² + 12²

find the square

x² = 225

x = 15

c. Using the sine identity

sin 29= 11/x

cross multiply the values

x = 11/0. 4848

x = 22. 7 ft

d. sin x = 3.1/5.9

sin x = 0. 5254

x = 31. 7 degrees

Learn more about trigonometric identities at: https://brainly.com/question/7331447

#SPJ1

The construction being demonstrated is constructing a perpendicular bisector.

In this construction, a line is drawn to bisect a given line segment and is perpendicular to that line segment. The perpendicular bisector divides the line segment into two equal parts and creates a right angle at the point of intersection. It is useful in various geometric constructions and applications, such as finding the midpoint of a line segment or constructing equilateral triangles. By constructing a perpendicular bisector, we ensure that the distances from any point on the line to the endpoints of the line segment are equal.

Know more about perpendicular bisector here:

https://brainly.com/question/29132624

#SPJ11

Height is same

So

Volume of cuboid (Box is cuboid)

As H is same kick it out

So

If we know multiplication shows association

So

Volume remains same

True. Regression analysis involves analyzing the relationship between two variables, typically by using all available data points.

Ignoring certain data points, such as the highest and lowest volume data points, can skew the results and lead to inaccurate conclusions. Therefore, it is important to use all available data points in regression analysis to ensure that the relationship between the variables is accurately represented.

True: Regression analysis uses all data points, not just the highest and lowest volume data points. It is a statistical method for analyzing the relationship between a dependent variable and one or more independent variables. By including all data points, regression analysis can identify patterns and trends, providing a more accurate representation of the data. This allows for better predictions and insights into the relationships between variables. Excluding some data points, such as only using the highest and lowest volume data points, would limit the analysis and potentially lead to inaccurate results.

Learn more about Regression at: brainly.com/question/31735997

#SPJ11

Typically the letters in each figure correspond to the same letter in the second figure so D = Q, E = R, etc.

You are told E = 143, so since E = R , then R should also be 143 degrees.

Answer:

143

Step-by-step explanation:

Answer:

Do like this

Step-by-step explanation:

Hope it helps you

For the matrix the true statement is given by option d. Both A and B are false.

Let's analyze each statement of the matrix as follow,

A) If A is a 3 times 5 matrix and T is a transformation defined by T(x) = Ax, then the domain of T is R⁵.

This statement is false.

The domain of the transformation T is not R⁵.

The domain of T is determined by the dimensionality of the vectors x that can be input into the transformation.

Here, the matrix A is a 3 times 5 matrix, which means the transformation T(x) = Ax can only accept vectors x that have 5 elements.

Therefore, the domain of T is R⁵, but rather a subspace of R⁵.

B) If A is a 3 times 2 matrix, then the transformation x right arrow Ax cannot be onto.

This statement is also false.

The transformation x → Ax can still be onto (surjective) even if A is a 3 times 2 matrix.

The surjectivity of a transformation depends on the rank of the matrix A and the dimensionality of the vector space it maps to.

It is possible for a 3 times 2 matrix to have a rank of 2,

and if the codomain is a vector space of dimension 3 or higher, then the transformation can be onto.

Therefore, as per the matrix both statements are false, the correct answer is d. Both A and B are false.

Learn more about matrix here

brainly.com/question/29132693

#SPJ4

The above question is incomplete, the complete question is:

Which of the following best characterizes the following statements:

A) If A is a 3 times 5 matrix and T is a transformation defined by T(x) = Ax, then the domain of T is R^5

B) If A is a 3 times 2 matrix, then the transformation x right arrow Ax cannot be onto

a. Only A is true

b. Only B is true

c. Both A and B are true

d. Both A and B are false

The 40% clearance discount is already factored into the clearance price of $30, so applying the 20% coupon only reduces the price further by 20% of $30, or $6. Therefore, you would pay $24 for the item with both discounts applied.

Let's break down the discounts and calculate the final price of the item using the terms "normal", "price", and "quantitatively".
The normal price of the item: $50

First, apply the 40% clearance discount:
40% off the normal price = 0.4 * $50 = $20

Subtract the clearance discount from the normal price:
New discounted price = $50 - $20 = $30

Now, apply the 20% off coupon to the discounted price:
20% off the new discounted price = 0.2 * $30 = $6

Quantitatively, the calculation would be:
Normal price = $50
Clearance price (40% off) = $30
Coupon discount (20% off clearance price) = 0.20 x $30 = $6
Final price = $30 - $6 = $24

Subtract the coupon discount from the discounted price:
Final price = $30 - $6 = $24

So, you should pay $24 for the item. It is not the same as taking 60% off the normal price because the discounts are applied sequentially, not combined. Quantitatively, you can see that taking 60% off the normal price would result in a $30 discount ($50 * 0.6), while the actual total discount here is $26 ($20 + $6).

Learn more about Discount:

brainly.com/question/3541148

#SPJ11

It is true about Marcy's survey that she wants to study all visitors of the library and due to this, her sample is not representative.

Marcy's study focuses on determining the type of books that visitors prefer to borrow. Based on this, Marcy is studying the preferences of all the visitors to the library.

The sample selected is not representative because she is only considering those that go to the children's room on a specific day and time of the week rather than all the visitors.

Based on this, it can be concluded her population is all visitors and the sample is not representative.

Note: This question is incomplete because the options are missing; due to this, I answered it based on general knowledge.

Learn more about population in: https://brainly.com/question/905400

Answer: Look at the explanation

Step-by-step explanation:

Note that I think it is the question in the math book.

Its says... (from what I see in my book)

A) Marcy’s sample is not a representative sample because not all of the  library’s visitors go to the children’s reading program.

B) Marcy’s sample is a represnetative sample of the population.

C) Marcy will get a random sample by surveying as many people in the children’s reading room as possible.

D) The population of Marcy’s study consits of all visitors of the public library.

E) The results of Marcy’s survey include a mode, but niether a mean nore a median.

The answers that are true are

A

D

E

Why?

Let’s take letter b for example. It says that Marcy’s sample is a representative sample of the population. This is wrong because she asked all the people in the children’s reading room and that is not the whole population

*Note that the whole population is the people in the library*

Marcy needs to ask people who are in and not in the children’s reading room.

I am not sure if this is correct but I hope this helps with your question.

Will someone tell me if this is correct please?

Answer:

Now, the formulas for other trigonometry ratios are: Cot θ = 1/tan θ = Adjacent side/ Side opposite = AB/BC. Sec θ = 1/Cos θ = Hypotenuse / Adjacent side = AC / AB. Cosec θ = 1/Sin θ = Hypotenuse / Side opposite = AC /BC

Line b. 2y - x = 5 is Not parallel, the given line is not parallel to the x-axis or y-axis. A line is parallel to the x-axis if its slope is equal to 0 and it is parallel to the y-axis if its slope is undefined.

Generally, The slope of the given line can be found by rearranging the equation to the form y = mx + b, where m is the slope.

In this case, the equation is already in that form, so the slope is 2.

Therefore, the given line is not parallel to either the x-axis or the y-axis.

Read more about Line

https://brainly.com/question/30003330

#SPJ1

Answer:

please mark as branilest pleaseeee

Answer:

1. 96

2. 84

Step-by-step explanation:

I used the Circle theorems:

For 1 you use the alternate segment theory

For 2 you use the theory that opposite angles in a cyclic quadrilateral add up to 180.

I can't be asked to explain it properly I'm sorry but if no one else does it properly you can give me brainliest?

Based on the information the amount that Agnes paid as state income tax is $2,040.

Federal Income Tax is the tax system in the United States, levied and governed by Internal Revenue Services (IRS) which helps determine the tax that is charged on the income earned by individuals, corporates, and various other legal entities.

The first step is to calculate Agnes' federal taxable income.

Federal taxable income=$15449.60/0.284

Federal taxable income= $54,400

The second step is to calculate Agnes' state income tax.

State income tax=0.0375 ×$54,400

State income tax=$2,040

Hence, the amount that Agnes paid as state income tax is $2,040.

Learn more here federal income:

brainly.com/question/12600097

Answer:

its d

Step-by-step explanation: