Answer:
m=2Step-by-step explanation:
to understand thisyou need to know about:law of exponentPEMDASgiven:\( \frac{ {5}^{m} }{ {5}^{ - 3} } = {5}^{5} \)tips and formulas:\( \frac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b} \)\( {x}^{a} = {x}^{b} < = > a = b\)let's solve:\( \frac{ {5}^{m} }{ {5}^{ - 3} } = {5}^{5} \)
\( {5}^{m - ( - 3)} = {5}^{5} \)
\(m + 3 = 5\)
\(m = 2\)
Answer:
\( {5}^{m} \div {5}^{ (- 3)} = {5}^{5} \\ {5}^{m} \div \frac{1}{ {5}^{3} }= {5}^{5} \\ {5}^{m} \times {5}^{3} = {5}^{5} \\ {5}^{m} = \frac{ {5}^{5} }{ {5}^{3} } \\ {5}^{m} = {5}^{2} \\ \boxed{m = 2}\)
★ m=2 is the right answer.If someone could help me with these two problems please. ( will mark brainliest if correct )
Answer:
Q14 = 45
Q15 = 1.98
Step-by-step explanation:
Q14.
2t = 90 degrees (right angle)
(1) t = 45 (90 ÷ 2)
45 + 8 = 53
45 - 12 = 33
Q15.
43s = 85 degrees
s = 1.98 (85 ÷ 43)
At a coffee shop, the amount of tax due is calculated based on the cost of the customer's
order.
t = the amount of tax due
c = the cost of the order
Which of the variables is independent and which is dependent?
In this context, the dependent variable is t (amount of tax due) and the independent variable is c (cost of the order).In this scenario, the variables are t (the amount of tax due) and c (the cost of the order).
To determine which variable is independent and which is dependent, we need to understand their relationship.In this case, the amount of tax due, t, is calculated based on the cost of the customer's order, c. The tax amount is dependent on the cost of the order because it is directly influenced by the value of c. As the cost of the order changes, the amount of tax due will also change accordingly.
On the other hand, the cost of the order, c, is independent. It is not influenced or determined by the amount of tax due. The customer can choose the cost of their order, and the tax will be calculated based on that chosen amount.
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Set up the triple integral that will give the following:
(a) the volume of R using cylindrical coordinates with dV = r dz dr do where R:01, 0 ≤ y ≤√1-x², 0 ≤ z <√4-(x2+y2). Draw the solid R.
(b) the volume of the solid B that lies above the cone z = √32 + 3y2 and below the sphere x² + y²+22= z using spherical coordinates. Draw the solid B
(a) ∫₀²π ∫₀¹ √(1-r²) r dz dr dθ
We can evaluate the triple integral to find the volume of the solid R.
(b) the volume of the solid B is zero.
(a) To set up the triple integral that gives the volume of the solid R using cylindrical coordinates, we'll use the given bounds and the cylindrical volume element dV = r dz dr dθ.
The bounds for R are:
0 ≤ r ≤ 1
0 ≤ θ ≤ 2π
0 ≤ y ≤ √(1 - x²)
0 ≤ z < √(4 - x² - y²)
To convert the y bound in terms of cylindrical coordinates, we need to substitute y with r sin(θ), as y = r sin(θ) in cylindrical coordinates.
The solid R can be represented by the triple integral as follows:
V = ∭R dV
= ∫₀²π ∫₀¹ ∫₀√(1-r²) r dz dr dθ
= ∫₀²π ∫₀¹ √(1-r²) r dz dr dθ
Now, we can evaluate the triple integral to find the volume of the solid R.
(b) To set up the triple integral that gives the volume of the solid B using spherical coordinates, we'll use the given bounds and the spherical volume element dV = ρ² sin(φ) dρ dφ dθ.
The bounds for B are:
0 ≤ ρ ≤ √(32 + 3y²)
0 ≤ φ ≤ π
0 ≤ θ ≤ 2π
z = ρ cos(φ) lies below the sphere x² + y² + 22 = z.
To convert the equation of the sphere in terms of spherical coordinates, we have:
x² + y² + 22 = z
ρ² sin(φ) cos²(θ) + ρ² sin(φ) sin²(θ) + 22 = ρ cos(φ)
ρ² sin(φ) + 22 = ρ cos(φ)
Now, we can determine the bounds for ρ in terms of the given equation:
ρ cos(φ) = ρ² sin(φ) + 22
ρ² sin(φ) - ρ cos(φ) + 22 = 0
We can solve this quadratic equation for ρ, and the bounds for ρ will be the roots of this equation.
With the given equation, we can calculate the discriminant:
Δ = (-1)² - 4(1)(22) = 1 - 88 = -87
Since the discriminant is negative, the quadratic equation has no real roots. This means that the solid B is empty, and its volume is zero.
Therefore, the volume of the solid B is zero.
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Write in point-slope form an equation of the line that passes through the point
(3,−5) with slope -4
A horizontal line through y=−53. Explanation: Write the equation in the form y=mx+c because then we can read off the slope and the y-intercept ...
Answer:
Step-by-step explanation:
Find the median and mean
40, 4, 12, 15, 45, 16
Answer:
15.5 is the median.
The mean of the data is 22
Step-by-step explanation:
First, the median of a data set is found by sorting the numbers in order, from least to greatest. Then you count inwards one at a time on both sides until you reach a center number.
4 , 12, 15, 16, 40, 45
12, 15, 16, 40
15, 16
15.5
This means, 15.5 is the median
Next, to find the mean, you add up all the numbers and divide it by however many numbers there are. In this case there are 6 numbers, so we divide the total by 6.
40 + 4 + 12 + 15 + 45 + 16 = 132
132 / 6 = 22
The mean of the data is 22
Answer:
Mean: 22
Median: 15.5
Step-by-step explanation:
hope this helps :)
Cecilia made an envelope to mail a letter. She colored the regular trapezoid flap on the bottom of the envelope blue,
shown.
5 in.
2 in
9 in.
What is the area of the blue flap of the envelope?
O 14 in 2
O 18 in 2 45in2. 90in2
Answer:
14 inch ^2
Step-by-step explanation:
Area of a trapezium= (a+b) 2 times h
so side a= 5 inches
side b= 9 inches
then times by 2 times the height (2)
you can rearrange the formula to this- a + b/ 2 times height.
5+9/2 times 2= 14
I hope this helps, have a lovely day.
please help ill mark brilliant
Answer:
(2,-3), (3,-1), (4,-4), (6,-1)
Complete the following statement. Use the integers that are closest to the number in the middle.
? < 90 < ?
The integers that are closest to the number in the middle will be 89 < 90 < 91.
What is an integer?It should be noted that an integer simply means a whole number that can be positive, negative, or zero.
It should be noted that on this case, we have to look for the numbers that are closest to 90 one has to be less than 90 and the other one should be greater than it.
Therefore, the numbers that fits the information will be 89 and 91.
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What is the volume of a rectangular prism with a height of 2 ft and a base area of 6 ft2?
The volume of the rectangular prism is 12 cubic feet.
To find the volume of a rectangular prism, you need to multiply its height by its base area. In this case, the height is given as 2 ft and the base area is given as 6 ft2. So, the volume can be calculated as follows:
Volume = Height x Base area
Volume = 2 ft x 6 ft2
Volume = 12 cubic feet
Therefore, the volume of the rectangular prism is 12 cubic feet.
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Lucia paints a certain room in 5 hours, and Marie paints the same room in 8 hours. How long does it take them to paint the room if they work together? Round to the nearest tenth.
Answer:
3.1 hrs painting together
Step-by-step explanation:
Lucia rate = 1 room/ 5 hr
Marie rate = 1 room/8hr
now combine the rates
1 room / ( 1/5 + 1/8) = 3.077 hrs
A garment store sells a particular brand of a shirt at ₹x and a particular brand of a trouser at ₹y. John buys 5 shirts and 3 trousers from the store at ₹9000. Frame an equation to model the above situation.
Answer:what I don’t even know sorry that I wasted you time but if you stay and keep reading it might be important
So how do I switch accounts or log out hopefully you chose to keep reading I got you good and wasted your time
Step-by-step explanation:
Answer ASAP pls pls
Answer:
30 x 24 = 720
720 / 2 = 360
360 inches squared
can someone please help me!
Answer:
60
Step-by-step explanation:
The blueprint for the
Moreno's living room
has a scale of
2 inches = 5 feet.
The family wants to
use a scale of 1
inch = 3 feet. What is
the width of the
living room on the
new blueprint?
4
subtract 2 from 6, because when you subtract 5 from 2 you will get 3
The mode is the value of the observation that appears most frequently. true or false
The statement 'The mode is the value of the observation that appears most frequently.' is True.
We know that, the mode is the most frequent number.
It is the number that occurs the highest number of times.
The observation occurring the most number of times or which has highest frequency is known as the mode.
For example, in {6, 3, 9, 6, 6, 5, 9, 3} the Mode is 6 as it occurs most often.
There is no mode when all observed values appear the same number of times in a data set.
Therefore, the statement 'The mode is the value of the observation that appears most frequently.' is True.
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Brooklyn has 3 shelves in her bedroom that have 40 books on each shelf in another room,she has 4 shelves that each contain 20 books if she buys 17 books at a resale shop, how many books does brooklyn have now
Answer:120 plus 80 plus 17 equals 217
Step-by-step explanation:
Answer:
Step-by-step explanation:
217
Square root & simplifying radicals
√30
Answer:
√30 =
5.4772255751
It can be simplified as this only, not more
Help me please picture is attached
Explain too please !!!!!!!!!!!!!!!!!!
Answer:
4th Option isn't a function
Step-by-step explanation:
it is because a domain can't have two images in the co domain set
Hope it helps
Please mark as brainliest
Answer:
"D" (the fourth one....(7,1),(6,2)....
a "function" is a very specific relationship in math...
for a relationship to be "a function" every possible INPUT (x-values) has to map (correspond) to a UNIQUE output value (Y-value)
a line is a function (all x's have unique y values.
A circle is NOT ..... at the center (x-value) there are two y values (one above and one below)
in your problem answer "D" the "x-value" "5" has two different "y-values"
3 and 4
Step-by-step explanation:
In a group of 31 students, 7 study both Art and Biology.
14 study Biology but not Art.
7 study neither subject.
Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?
Answer:
it is 358
Step-by-step explanation:
Hope this helped have an amazing day!
hey can someone help me? thanks
Select the correct answer.
Function ris a continuous rational function with a horizontal asymptote at y = -8.
Which statement describes the key features of s(t) = (x +2) – 12
A. Function s is continuous and has a horizontal asymptote at y = -1.
В. Function shas a point of discontinuity at I = -2 and a horizontal asymptote at y= -9.
C. Function s has a point of discontinuity at r = -2 and a horizontal asymptote at y = -1.
D. Function sis continuous and has a horizontal asymptote at y = -9.
s(x) is continuous and has a horizontal asymptote at y = -9
We know that we have a function r(x) that has a horizontal asymptote at y = -8
Then, what can we say about the function s(x) = r(x + 2) - 1 ?
Ok, first remember that a horizontal asymptote means that as x, the variable, increases (or decreases), the function eventually tends to a given value, but never actually reaches it.
So as x tends to infinity, we should see an almost horizontal line that tends to y = -8.
So if that happens when x tends to infinity, the same thing will happen when x + 2 tends to infinity, because that "+2" does not add a lot.
Then is easy to conclude that:
r(x + 2) also has a horizontal asymptote at y = -8
And our function is:
s(x) = r(x + 2) - 1
So we are subtracting one, then that horizontal asymptote will be at:
y = -8 - 1 = -9
The function s(x) has a horizontal asymptote at y = -9
And because r(x) is continuous, then:
s(x) = r(x + 2) - 1
is also continuos, as there is nothing added that could change the continuity (we do not have any zero in the denominator or something like that)
Then the correct option is D.
"s(x) is continuous and has a horizontal asymptote at y = -9"
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(7 — 2) - 10
Simplify each numerical expression
Answer:
-5
Step-by-step explanation:
7−2−10
=5−10
=-5
Answer:
-5
Step-by-step explanation:
You have to follow PEMDAS, so we would do parentheses, and 7-2 equals 5. Then we subtract 5-10 which equals -5.
rite an equation for the circle of water from the sprinkler. Explain how you found your answer.
Answer:
water being measured as the distance increases from the sprinkler. Finally, where the sprinkler radius came to an end, there would be a container far enough from the sprinkler to have no measurable water. Figure 33: Sprinkler water distribution graph Figure 34: 60% sprinkler radius
Step-by-step explanation:
What is the slope of the line passing through the points (1, -3) and (1,0)?
Answer:
Undefined
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
0-(-3)/1-1
3/0
Since the denominator is 0, the slope is undefined.
Best of Luck!
Provide a detailed distinction between the two training
methodologies that may be utilised in the organisation, as well as
the popular methods for each.
In an organization, two popular training methodologies that can be utilized are on-the-job training and off-the-job training.
Let's examine each methodology along with their popular methods:
1. On-the-Job Training:
On-the-job training refers to the process of acquiring knowledge and skills while performing tasks and responsibilities directly related to one's job. It takes place within the actual work environment and provides hands-on experience. Some popular methods of on-the-job training include:
a. Job Shadowing: This method involves a new employee observing and working closely with an experienced employee, learning from their day-to-day activities and tasks.
b. Mentoring: In this method, a more experienced employee (mentor) guides and supports a less experienced employee (mentee) by providing advice, feedback, and sharing their expertise.
c. Coaching: Similar to mentoring, coaching involves a more experienced employee providing guidance and support to enhance the skills and performance of the employee being coached.
d. Apprenticeships: This method combines on-the-job training with classroom instruction. It allows individuals to learn a trade or skill through practical experience while working alongside skilled professionals.
2. Off-the-Job Training:
Off-the-job training refers to the process of learning and acquiring skills outside of the regular work environment. It usually takes place in a separate training facility or classroom setting. Some popular methods of off-the-job training include:
a. Workshops and Seminars: These are interactive sessions where participants learn new skills, gain knowledge, and exchange ideas on specific topics facilitated by subject-matter experts.
b. Conferences and Conventions: These events bring together professionals from a particular industry or field to attend presentations, panel discussions, and networking opportunities to learn about new trends and developments.
c. E-Learning and Online Courses: With advancements in technology, online platforms offer various courses and training programs that individuals can access remotely at their own pace and convenience.
d. Simulations and Role-Playing: These methods involve creating artificial scenarios or situations that closely resemble real work situations, allowing participants to practice and develop skills in a controlled environment.
e. Case Studies and Group Discussions: Participants analyze real-life scenarios and engage in group discussions to understand problem-solving techniques, decision-making processes, and best practices.
It's important to note that the selection of the training methodology and methods depends on the specific needs, goals, and resources of the organization, as well as the desired learning outcomes for the employees. A combination of both on-the-job and off-the-job training can often be beneficial for comprehensive skill development and knowledge acquisition.
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Solve the equation.
2x+3-2x = -+²x+5
42
If necessary:
Combine Terms
Apply properties:
Add
Multiply
Subtract
Divide
The solution to the equation is -1.5 or -3/2.
How to solve equations?We have the equation:
x² + 3-2x= 1+ x² +5
Combine Terms and subtract x² from both sides:
x² - x² + 3 -2x = 1 + 5 + x² - x²
3 -2x = 1 + 5
Add:
3 -2x = 6
Combine Terms and subtract 3 from both sides:
-2x + 3 -3 = 6 - 3
-2x = 3
Dividing by -2 we get:
x = 3/(-2)
x = -3/2
x = -1.5
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What is the point of concurrency of the right bisectors of the sides of triangle?
The point of concurrency of the right bisectors of the sides of a triangle is called the circumcenter.
- The right bisector of a side of a triangle is a line that divides the side into two equal segments and is perpendicular to that side.
- The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.
- The circumcenter is equidistant from the vertices of the triangle.
- It lies inside the triangle if the triangle is acute, on the triangle if the triangle is right-angled, and outside the triangle if the triangle is obtuse.
- The circumcenter is the center of the circle that passes through all three vertices of the triangle, known as the circumcircle.
- The circumcenter has a special property: it is equidistant from the three vertices of the triangle, which means the distances from the circumcenter to each vertex are the same.
In conclusion, the point of concurrency of the right bisectors of the sides of a triangle is the circumcenter, which is the center of the circumcircle and equidistant from the triangle's vertices.
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If you take the opposite of the product of 8 and -2, will the answer be less than -5, between -5 and 5 and 10, or greater than 10?
Answer: Greater than 10.
the set of order pairs (1,13),(2,17),(3,17),(4,19),(5,23)
The set of order pairs (1,13),(2,17),(3,17),(4,19),(5,23)
What is ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it can be helpful to position it on the Cartesian plane.
An ordered pair's numerical values may be fractions or integers. The idea of an ordered pair is very helpful for word problems, statistics, and data comprehension.
• The given x-coordinates are 1,2,3, 4,5; Thus, the domain is {1,2,3, 4,5}
• The given y-coordinates are 13,17,17,19,23; Thus, the domain is {13,17,17,19,23}
• Since every value of x-coordinate have only one value of y-coordinates, it would be a function.
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Is 364 a prime or a composite number?
Answer:
364 is an even composite number.
Step-by-step explanation:
It is composed of three distinct prime numbers multiplied together.