What is the domain in interval notation?​

Answer:

11

Step-by-step explanation:

55 x 55 = 3025

3025/275

11

Can you give brainliest if someone else answers? :)

Answer: wow Ashley smh it’s Lorelei btw

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to know the amount borrowed at 10%, 12%, and 14% if the total borrowed was $21000, the total interest was $2580, and the total of amounts borrowed at 10% and 14% was double the amount borrowed at 12%.

The relations give rise to three equations. If we let x, y, z represent the respective amounts borrowed at 10%, 12%, and 14%, we have ...

  x + y + z = 21000 . . . . . . total borrowed

  0.10x +0.12y +0.14z = 2580 . . . . . . total interest

  x + y = 2z . . . . . . . . . . . relationship between amounts

Writing the last equation as ...

  x -2y +z = 0

we can formulate the problem as a matrix equation and use a solver to find the solution. We have done that in the attachment. It tells us the amounts borrowed are ...

__

Additional comment

Recognizing that the amount at 12% is 1/3 of the total, we can use that fact to rewrite the other two equations. The interest on the $7000 at 12% is $840, so we have ...

These two equations have the solution shown above. (It is usually convenient to solve them by substituting for x in the second equation.)

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Answer:

$4.161616 =

As a fraction

= $[(4 × 62500) + 10101]/62500

= $(260101/62500)

As a mixed number =

$\(4\frac{10101}{62500}\)

Step-by-step explanation:

Cost of making a computer component = $4.161616

= $4 + $0.161616

6 numbers after the decimal , hence

0.161616 × 1000000/1000000

= 161616/1000000

= 10101/62500

We are told in the question to write the repetiting decimal cost as a fraction and as a mixed number

$4 + $0.161616 = $4 + 10101/62500

As a fraction

= $[(4 × 62500) + 10101]/62500

=$260101/62500

As a mixed number = \($4\frac{10101}{62500}\)

According to the question (a) The projection of vector \(\mathbf{u}$ onto $\mathbf{v}$ is $\left(\frac{11}{25}\right)\mathbf{i} + \left(\frac{44}{25}\right)\mathbf{j}$\) ,  (b) The vector component of \(\mathbf{u}$ orthogonal to $\mathbf{v}$ is $\left(\frac{9}{25}\right)\mathbf{i} + \left(\frac{-36}{25}\right)\mathbf{j}$\).

(a) To find the projection of vector \($\mathbf{u}$\) onto vector \($\mathbf{v}$\), we can use the formula:

\(\[\text{proj}_{\mathbf{v}}(\mathbf{u}) = \left(\frac{\mathbf{u} \cdot \mathbf{v}}{|\mathbf{v}|^2}\right) \mathbf{v}\]\)

Given \(\mathbf{u} = 4\mathbf{i} + 2\mathbf{j}$ and $\mathbf{v} = 3\mathbf{i} + 4\mathbf{j}$\) , we can calculate the projection as follows:

\(\[\begin{aligned}\text{proj}_{\mathbf{v}}(\mathbf{u}) &= \left(\frac{(4\mathbf{i} + 2\mathbf{j}) \cdot (3\mathbf{i} + 4\mathbf{j})}{|3\mathbf{i} + 4\mathbf{j}|^2}\right) (3\mathbf{i} + 4\mathbf{j}) \\&= \left(\frac{20}{25}\right)(3\mathbf{i} + 4\mathbf{j}) \\&= \frac{12}{5}\mathbf{i} + \frac{16}{5}\mathbf{j}\end{aligned}\]\)

Therefore, the projection of \(\mathbf{u}$ onto $\mathbf{v}$ is $\frac{12}{5}\mathbf{i} + \frac{16}{5}\mathbf{j}\).

(b) To find the vector component of \(\mathbf{u}$ orthogonal to $\mathbf{v}$\), we can subtract the projection from \($\mathbf{u}$\):

\(\[\text{comp}_{\mathbf{v}}(\mathbf{u}) = \mathbf{u} - \text{proj}_{\mathbf{v}}(\mathbf{u})\]\)

Given \(\mathbf{u} = 4\mathbf{i} + 2\mathbf{j}$ and the projection of $\mathbf{u}$ onto $\mathbf{v}$ is $\frac{12}{5}\mathbf{i} + \frac{16}{5}\mathbf{j}$\) , we can calculate the orthogonal component as follows:

\(\[\begin{aligned}\text{comp}_{\mathbf{v}}(\mathbf{u}) &= (4\mathbf{i} + 2\mathbf{j}) - \left(\frac{12}{5}\mathbf{i} + \frac{16}{5}\mathbf{j}\right) \\&= \left(\frac{8}{5}\mathbf{i} - \frac{6}{5}\mathbf{j}\right)\end{aligned}\]\)

Therefore, the vector component of \(\mathbf{u}$ orthogonal to $\mathbf{v}$ is $\frac{8}{5}\mathbf{i} - \frac{6}{5}\mathbf{j}$\).

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Answer:

3 batches

Step-by-step explanation:

First simplify 1/2 into 3/6

which into 1/6 makes three which means Mark can make 3 batches of cookies.

(If Mark had a full pound he could make 6 batches of cookies)*

Have a good day. :)

Hope this helps!

(brainliest would be appreciated)

Answer:

3 batches

Step-by-step explanation:

Answer:

30.583

Step-by-step explanation:

Answer:

30.58317511 to 3 significant figures:

30.583

Answer:

4p³z - 14z +13

Step-by-step explanation:

(5p³z -9z +9) - (p³z +5z -4)

the - multiplies the bracket

5p³z -9z +9 -p³z -5z +4

collect like terms

5p³z -p³z -9z -5z +9+4

4p³z - 14z +13

Step-by-step explanation:

The elevator has an acceleration and deceleration of magnitude 1.0 m/s^2, so it takes (5 m/s) / (1 m/s^2) = 5 seconds to reach its maximum speed of 5 m/s.

To come to a stop from this maximum speed, it will also take 5 seconds.

The time it takes for the elevator to travel the entire distance of 200 m is given by:

t = 5 s + 5 s + d / v

where d is the distance traveled at constant speed and v is the constant speed.

We know that the total time is equal to t = 10 s + d / 5 m/s.

Thus, d = (10 s - 5 s) * 5 m/s = 25 m.

So the elevator spends 5 seconds accelerating, 5 seconds decelerating, and 10 - 5 = 5 seconds at constant speed.

The total output of 15 workers will be 105 units per day.Work and time are correlated so using this we could solve the question.

What is work and time?

Time is the duration of any activity or work that occurs or continues.

Work is a task or set of activities designed to achieve a specific result.

Main Body:

This can be done by simply multiplying both number of days and total work in one day.Hence the equation become:

total output = total workers*total work done by one person.

Total output = 7*15

hence,total output = 105 units

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Answer: 10

Step-by-step explanation:

Calculate the product or quotient: 35/3.5

Multiply both the numerator and denominator with the same integer:350/35

Cross out the common factor:10

Find the smallest integer greater than or equal to 10

Answer: 10

Answer:

10

Step-by-step explanation:

3.50 divided by 2 = 1.75

17.50 divided by 1.75 = 10

10 is the answer

Answer:

x = 19.8

Step-by-step explanation:

The number of hours it will take until the drill reaches its final depth of y feet would be (y * 24) / x.

To find the number of hours it will take for the drill to reach its final depth, we need to determine the drilling rate per hour.

Let's assume the drill can drill to a depth of x feet in one day (24 hours). Therefore, the drilling rate per hour would be:

Drilling rate per hour = Depth drilled in one day (feet) / Number of hours in one day

Now, we can calculate the drilling rate per hour:

Drilling rate per hour = x feet / 24 hours

To find the number of hours it will take to reach the final depth of y feet, we can set up the following proportion:

Drilling rate per hour = Depth drilled (feet) / Number of hours

We can rearrange this proportion to solve for the number of hours:

Number of hours = Depth drilled (feet) / Drilling rate per hour

Substituting the values we have:

Number of hours = y feet / (x feet / 24 hours)

Simplifying this expression:

Number of hours = (y * 24) / x

Therefore, the number of hours it will take until the drill reaches its final depth of y feet would be (y * 24) / x.

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Answer:

(0,-3)

Step-by-step explanation:

Answer:

12+9r

Step-by-step explanation:

3(4+3r) = 3*4+3*3r = 12+9r

the slope is 9 and the y intercept is -2

Answer:

The slope is 9 and the y intercept is -2

Step-by-step explanation:

this was right on edge 2021

Answer:

a = 32

b= 27

c = 9

Step-by-step explanation:

a= 5+ b from the second equation

c= b/3 from the third equation

substitute the above equations to the first equation then solve for b your answer will be 27

substitute the value of b in the second equation you will solve for a

perform the same substitution to the third equation you will get the answer for c

Step-by-step explanation:

a-b=5<=>a=5+b (1)

b:c=3<=>b=3c (2)

a+b+c=68<=>5+b+3c+c=68<=>5+3c+3c+c=68

<=>7c=63<=>c=9

Fill in (2), we have b=3c=3.9=27

and in (1), we have a=5+b=5+27=32

So, a=32, b=27, c=9

Answer: B (I)

Step-by-step explanation:

Given the relation, value of  −r2 is {(3, 1), (3, 3), (2, 3), (1, 4)}.

To find −r2, we first need to find r2, which is the composition of the relation r with itself. The composition of r with itself is given by:

r2 = {(a, c) | ∃b ∈ A, (a, b) ∈ r and (b, c) ∈ r}

where A is the set of all elements in the relation r.

Using this definition, we can calculate r2 as follows:

r2 = {(1, 3), (3, 3), (3, 2), (4, 1)}

Next, to find −r2, we simply take the inverse of each ordered pair in r2 and reverse the order of the pairs. Thus, we have:

−r2 = {(3, 1), (3, 3), (2, 3), (1, 4)}

Therefore, the relation −r2 is {(3, 1), (3, 3), (2, 3), (1, 4)}.

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The given statement "two common tolerance zones of a perpendicularity tolerance are two parallel planes or a cylinder" is true because Perpendicularity tolerance is a geometric tolerance that is used to control the orientation of a feature relative to a datum.

It ensures that a feature is perpendicular to a specified datum plane or axis within a certain tolerance zone. There are two types of tolerance zones for perpendicularity: a pair of parallel planes and a cylinder. The parallel plane tolerance zone consists of two parallel planes that are perpendicular to the datum plane or axis.

The feature must lie between these two planes within the specified tolerance limit. The cylinder tolerance zone, on the other hand, consists of a cylinder that is coaxial with the datum axis. The feature must lie within the cylinder and be perpendicular to the axis within the specified tolerance limit.

Perpendicularity tolerance is essential in ensuring the proper fit and function of parts in a machine or assembly. Without it, parts may not fit together properly, causing problems such as misalignment, binding, or excessive wear.

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The percentage of the students who wore a silly hat is 64 %.

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Last Tuesday was a silly hat day at Aaron's school. 64 students wore a silly hats and 36 students did not.

We have to determine the percentage of the students who wore a silly hat

The total number of students = 64 students wore silly hats and 36 students did not.

The total number of students = 64 + 36 = 100

We have to determine the percentage of the students who wore a silly hat

The percentage of the students wore a silly hat = (64/ 100) × 100

The percentage of the students wore a silly hat = 0.64 × 100

The percentage of the students wore a silly hat = 64 %

Thus, the percentage of students who wore silly hats is 64 %.

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Answer:

Step-by-step explanation:

As x approaches infinity, y approaches negative infinity

As x approaches negative infinity, y approaches infinity

Answer: y=0.05x-23540

Step-by-step explanation: We turn 5% into a decimal which is 0.05 and we add x to it so we can pick how many years. Then we subtract 23540 because he has used that money to buy the car.

Answer:

x is all real numbers

Step-by-step explanation:

This means that the graph is continuous from negative infinity to positive infinity.

Answer: Angle X

Reason: For any triangle, the largest angle is always opposite the longest side.

∠X is the largest measure on the triangle XYZ.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The angle opposite to the largest side is the largest measure.

So,

XY = 6 and opposite angle = ∠Z

YZ = 9 and opposite angle = ∠X

XZ = 8 and opposite angle = ∠Y

We see that,

YZ > XZ > XY

So,

∠X > ∠Y > ∠Z

Thus,

∠X is the largest measure on the triangle XYZ.

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Answer:

450miles

Step-by-step explanation:

Because she is riding at 20 miles per houre means that she ride 450 miles in 5 houre.

Answer:

\(\sf \bold{ 1 * (-3)^{n-1}}\)

Explanation:

first term, a₁ = 1

difference between the terms: -3

where "a₁ is first term" and "r refers to common difference"

Answer:

~ 104 135

Step-by-step explanation:

Decreasing by 8% each year means  92% is left each year

Formula

  FV = PV ( i)^n       FV = population in future  PV = pop now  

                                       i = 92% in decimal form = .92     n = years = 5

FV = 158000(.92)^5 = 104135

A percentage is a way to describe a part of a whole. The population of the city after 5 years will be 104135.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that the population of a city is 158,000 and is decreasing by 8% every year. Therefore, the population of the city after 5 years will be,

Population after 5 years = 158,000(1-0.08)⁵

                                          = 158,000 × 0.659

                                          = 104134.8807 ≈ 104135

Hence, the population of the city after 5 years will be 104135.

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Answer:

~17.67

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2

7.5^2+16^2=c^2

~17.67

Answer:

Step-by-step explanation:

We use pythagorus theorem which is; a²+b²=c²

(16cm)²+(75/10cm)²=x²

256cm²+225/4cm²=x²

1249/4cm²=x²

√1249/4cm²=√x²

312.25cm=x