The width of the rectangular prism will be 3 units.
Given that:
Length, L = 7 units
Height, H = 5 ¹/₅ units
Volume, V = 109 ¹/₅ cubic units
Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as,
V = L x W x H
Then the width of the prism is calculated as,
109 ¹/₅ = 7 x W x 5 ¹/₅
W = 3 units
The width of the rectangular prism will be 3 units.
More about the volume of the rectangular prism link is given below.
https://brainly.com/question/21334693
#SPJ1
f(x)=log5x what Is the range of the function
The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.
The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.
The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm
log5(�)log 5 (x) for �>0 x>0.
Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).
In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.
For more such questions on Logarithm:
https://brainly.com/question/31117877
#SPJ8
Answer: All real numbers
Step-by-step explanation:
Edge
plot (1,-4) in a coodinate plane
Answer:
I can't graph this but I will do my best to explain.
From 0 go right once, then go down 4. that should be where you would put the dot on the graph.
Step-by-step explanation:
Hope this helps!
Find the volume of the cone with a height and radius both of 7. Enter your exact answer in terms of π .
___ π units^3
Answer:
(343/3) π (units³)
Step-by-step explanation:
volume of cone = (1/3) π r² h
where r is the radius and h is the vertical height
volume = (1/3) π (7)² (7)
= (1/3) (7)³ π
= (343/3) π (units³)
What time is it for y'all for me, it's 12:06am-midnight any of you guys times different
Answer:
4 am for me you probably live somewhere in america though
two similar figures have an area of 25 in^2 and 4 in^2, what is the ratio of the corresponding sides?
Answer:
5/2
Step-by-step explanation:
ratio of sides=(√25)/(√4)=5/2
the sum of two complex numbers is 7+8i. the difference of the numbers is 1-2i. what is the product of the numbers?
The product of the complex numbers is -3 + 29i
How to find the product of the complex numbers?Let the complex numbers be
M = x + iy and N = a + ibTheir difference M - N = x + iy - (a + ib) = x - a + i(y - b)
Their sum M + N = x + iy + (a + ib) = x + a + i(y + b)
Since the sum of two complex numbers is 7 + 8i, we have that
M + N = x + a + i(y + b) = 7 + 8i
⇒x + a = 7 (1) and y + b = 8 (2)
Also, the difference of the numbers is 1 - 2i, we have that
M - N = x - a + i(y - b) = 1 - 2i
⇒ x - a = 1 (3) and y - b = -2 (4)
Adding equations (1) and (2), we have
x + a = 7
+
x - a = 1
2x = 8
x = 8/2
x = 4
Substituting x = 4 into equation (1), we have
x - a = 1
4 - a = 1
a = 4 - 1
a = 3
Adding equations (2) and (4), we have
y + b = 8
+
y - b = -2
2y = 6
y = 6/2
y = 3
Substituting y = 3 into equation (2), we have
y + b = 8
3 + b = 8
b = 8 - 3
b = 5
So,
M = x + iy = 4 + 3i and N = a + ib = 3 + 5iSo, their product M × N = (4 + 3i)(3 + 5i)
= 4 × 3 + 4 × 5i + 3 × 3i + 3i × 5i
= 12 + 20i + 9i - 15
= 12 - 15 + 20i + 9i
= -3 + 29i
So, the product of the complex numbers is -3 + 29i
Learn more about complex numbers here:
https://brainly.com/question/26125074
#SPJ1
PLEASE HELP ANSWER THIS QUESTION
(ILL GIVE BRAINLIEST TO THE BEST ANSWER TOO)
In Earth's southern hemisphere, the summer season is from December to March and winter is from June to September. The table shows the highest temperatures recorded at the South Pole for three different months.
Graph model:
South Pole Temperatures
Month Highest temperature (°F)
January 6
June –24
November –2
Each month's highest recorded temperature is plotted on the number line.
4. Which month had the coldest of the three temperatures? Explain.
Same question here answered by me with proper explanation.Visit the link below for your ans
https://brainly.com/question/24967986?
what does it mean when the second derivative equals zero
When the second derivative of a function equals zero, it indicates a possible point of inflection or a critical point where the concavity of the function changes. It is a significant point in the analysis of the function's behavior.
The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero at a particular point, it suggests that the function's curvature may change at that point. This means that the function may transition from being concave upward to concave downward, or vice versa.
Mathematically, if the second derivative is zero at a specific point, it is an indication that the function has a possible point of inflection or a critical point. At this point, the function may exhibit a change in concavity or the slope of the tangent line.
Studying the second derivative helps in understanding the overall shape and behavior of a function. It provides insights into the concavity, inflection points, and critical points, which are crucial in calculus and optimization problems.
learn more about derivatives :
https://brainly.com/question/25324584
#SPJ4
When the second derivative of a function equals zero, it indicates a critical point in the function, which can be a maximum, minimum, or an inflection point.
The second derivative of a function measures the rate at which the slope of the function is changing. When the second derivative equals zero, it indicates a critical point in the function. A critical point is a point where the function may have a maximum, minimum, or an inflection point.
To determine the nature of the critical point, further analysis is required. One method is to use the first derivative test. The first derivative test involves examining the sign of the first derivative on either side of the critical point. If the first derivative changes from positive to negative, the critical point is a local maximum. If the first derivative changes from negative to positive, the critical point is a local minimum.
Another method is to use the second derivative test. The second derivative test involves evaluating the sign of the second derivative at the critical point. If the second derivative is positive, the critical point is a local minimum. If the second derivative is negative, the critical point is a local maximum. If the second derivative is zero or undefined, the test is inconclusive.
Learn more:About second derivative here:
https://brainly.com/question/29090070
#SPJ11
what is 95% of 800? 680 720 760 795
Answer:
760
Step-by-step explanation:
Correct on edge 2022
95% of the number 800 is 760.
Hence, option (C) is correct.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
The given number is 800.
To find 95% of 800,
Use percentage property,
800 x 95 % = 800 x 95 / 100 = 760
The 95% of 800 is 760.
To know more about Percentage on:
https://brainly.com/question/24120406
#SPJ2
Layla leans a 26-foot ladder against a wall so that it forms an angle of 61° with the
ground. How high up the wall does the ladder reach? Round your answer to the
nearest tenth of a foot if necessary.
Step-by-step explanation:
Calculate the approximate value: 26 x 0.87462
Calculate: 22.74012
Round 22.74012 to the required place
Answer:22.7
Hope this helps
Let f(x)=7 x+5 and g(x)=x² . Perform each function operation and then find the domain of the result.
(f+g)(x)
Function operations are the rules we use to solve functions. There is a specific way to deal with function addition, multiplication, and division.
x² + 7x + 5 is the domain of all real numbers.
What is meant by function operation?Function operations are the rules we use to solve functions. There is a specific way to deal with function addition, multiplication, and division.
Let the two functions be f and g then f(x) = 7x + 5 and g(x) = x².
we have to calculate (f + g)(x)
Which is equivalent to:
(f + g)(x) = f(x) + g(x)
Taking the two functions and substituting them into this expression, we get,
f(x) + g(x) = (7x + 5) + (x²)
simplifying the above function, we get
f(x) + g(x) = x² + 7x + 5
Therefore, (f + g)(x) = x² + 7x + 5.
We must also determine the domain of the new function. However, because this is a second-order function with no denominators, logarithms, or roots, there are no restrictions on the value of x; thus, the domain is all real numbers.
To learn more about function operation refer to:
brainly.com/question/14882213
#SPJ4
Mark is putting a round fountain in his backyard. He decides to place bricks around the edge of the fountain. If the radius of the fountain is 1.5 feet, what is the length of the brick edge?
Answer: 9.42ft :)
Step-by-step explanation: Your Welcome!!!
A researcher wants to know if a new type of exercise improves people’s health. Would this be a one-tailed or a two-tailed test and why?
a) One-tailed because the study is only interested in whether exercise increases health. b) One-tailed because the study only looks at the effects of exercise and does not take other factors into account. c) Two-tailed because they will have to study healthy and unhealthy people. d) Two-tailed because there is no predicted direction of the difference.
Two-tailed because there is no predicted direction of the difference. The correct answer is D.
In hypothesis testing, a one-tailed test is used when the researcher has a specific prediction about the direction of the effect. They expect the results to be either greater than or less than a certain value. However, in this scenario, the researcher simply wants to investigate whether the new type of exercise improves people's health without any specific directional prediction.
A two-tailed test is appropriate when the researcher wants to determine if there is a significant difference between the groups being compared, but without specifying the direction of the difference. In this case, the researcher wants to examine if the new exercise has any effect on health, whether it improves or worsens it. Therefore, a two-tailed test is suitable as it allows for the possibility of observing a significant difference in either direction.
Therefore, considering these factors, the researcher should conduct a two-tailed test to assess the potential impact of the new exercise on people's health. The correct answer is D.
To learn more about Two-tailed from the given link
https://brainly.com/question/30818311
#SPJ4
Teresa wants to buy a new cell phone. She wants to get a phone with a good text message plan. She is deciding between Verizon and AT&T. Verizon charges a monthly fee of $25 and $0.05 per text message. AT&T charges a monthly fee of $15 and $0.10 per text message. After how many text messages will the costs be the same? Which company should she choose if she sends 100 text messages per month?
9514 1404 393
Answer:
200 messagesVerizonStep-by-step explanation:
The cost of the AT&T plan for m messages is ...
a(m) = 25 +0.05m
The cost of the Verizon plan for m messages is ...
v(m) = 15 +0.10m
The two plans have equal costs when ...
a(m) = v(m)
25 + 0.05m = 15 + 0.10m
10 = 0.05m . . . . . . . . . . . . . . subtract 15+0.05 m from both sides
200 = m . . . . . . . . . multiply both sides by 20
The plans have the same cost for 200 messages.
__
For fewer than 200 messages, the plan with the lower fixed fee is the better choice.
Teresa should choose the Verizon plan.
help please it’s due today
Answer:
A
Step-by-step explanation:
I am not 100% sure how to show it but i graphed it and it's A
Am i the only one that watches Osman??
Someone else in the world may watch it but personally i do not.
Answer:
Please Give Brainliest
Step-by-step explanation:
a gang of 17 bandits stole a chest of gold coins. when they tried to divide the coins equally among themselves, there were three left over. this caused a fight in which one bandit was killed. when the remaining bandits tried to divide the coins again, there were ten left over. another fight started, and five of the bandits were killed. when the survivors divided the coins, there were four left over. another fight ensued in which four bandits were killed. the survivors then divided the coins equally among themselves, with none left over. what is the smallest possible number of coins in the chest?
A a gang of 17 bandits stole a chest of gold coins, using Chinese Remainder Theorem the smallest possible number of coins in the chest is given as 7.
The Chinese Remainder Theorem in Mathematics states that, assuming that n and the divisors are pairwise coprime, one may utilise the remainders of n's division by the product of these other numbers to get the unique remainder of n's division by n. (no two divisors share a common factor other than 1).
Apply Chinese Remainder Theorem we get,
x≡3(mod17),
So, (x-3) is divided by 17
so, x = 20
x≡10(mod16),
(x-10) is divided by 16
x = 26
x≡4(mod11)
(x-4) is divided by 11
So, x = 15
x≡0(mod7)
(x-0) is divided by 7.
So, x=7
So smallest possible coin is 7.
Learn more about Chinese Remainder Theorem:
https://brainly.com/question/30811240
#SPJ4
Data table Activity Optimistic START 0 ABCDEFGHIK А J L FINISH 605 2607NTO TO 2-253 N N N M - NO 15 3 1 1 1 Time Estimates (days) Most Likely 0 0 10 1 20 10 2 2 2 3 1 Print Pessimisitic 0 OANAN www�
Answer:
This is gebber gabber but yes
Step-by-step explanation:
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
Learn more about Scheduling here:
brainly.com/question/30012511
#SPJ4
Which of the following numbers can be exposed as repeated decimals? 5/7 4/5 7/9 5/8
A. 7/9 and 5/8
B. 5/7 and 4/5
C. 5/7 and 7/9
D.4/5 and 5/8
Answer:
C.
Step-by-step explanation:
5/7=.714285714 and so on
7/9=.777777778 and so on
Find the volume of the rectangular prism.
Answer:
Step-by-step explanation:
0.7 cubic kilometers
V= lwh
V=(.5)(2)(.7)
Use the quadratic formula to solve. Express your answer in simplest form.
The solutions to the quadratic equation 22p² + 16p - 5 = 6p² are give as follows:
p = -5/4 and p = 1/4.
Solutions of a quadratic equationA quadratic equation is defined according to the rule presented as follows:
y = ax² + bx + c.
The solutions are given by the equation presented as follows:
\(x_{1} = \frac{-b + \sqrt{\Delta}}{2a}\)\(x_{2} = \frac{-b - \sqrt{\Delta}}{2a}\)They depend on the discriminant given by:
\(\Delta = b^{2} - 4ac\)
In this problem, the equation is given as follows:
22p² + 16p - 5 = 6p².
In standard format, it is given by:
16p² + 16p - 5 = 0.
Hence the coefficients are given as follows:
a = 16, b = 16, c = -5.
Then the discriminant is:
\(\Delta = 16^{2} - 4(16)(-5) = 576\)
The solutions are given as follows:
\(p_{1} = \frac{-16 + \sqrt{576}}{32} = 0.25\)\(p_{2} = \frac{-16 - \sqrt{576}}{32} = -1.25\)As fractions in simplest form, they are given as follows:
p = -5/4 and p = 1/4.
More can be learned about quadratic equations at https://brainly.com/question/24737967
#SPJ1
how do I solve this?
Answer:
The final answer is (2,-1)
(also idek what I did in the photo but I'm positive the answer is (2,-1)
formula for determining the nth term in a sequence of approximations to a solution of a polynomial equation
The formula for determining the nth term in a sequence of approximations to a solution of a polynomial equation is known as Newton's method or Newton-Raphson method. It is an iterative process that involves using the derivative of the polynomial to refine the approximation.
1. Start with an initial guess for the solution, denoted as x0.
2. Use the polynomial equation and its derivative to calculate the next approximation using the formula:
x1 = x0 - (f(x0) / f'(x0))
where f(x0) is the value of the polynomial at x0 and f'(x0) is the derivative of the polynomial evaluated at x0.
3. Repeat step 2 until the desired level of accuracy is achieved or until a maximum number of iterations is reached.
Therefore, Newton's method is an iterative approach that uses the derivative of the polynomial to refine the approximation to the solution of a polynomial equation.
To know more about Newton's method visit:
https://brainly.com/question/30763640
#SPJ11
Four subtracted from four times the smaller is equal to the larger number. Twice the larger number equals six times the smaller number. What are the numbers?
Answer:
12 and 4
Step-by-step explanation:
We could set up two equations with the given information.
Let a be the larger number, and b be the smaller number.
4b - 4 = a (Four subtracted from four times the smaller is equal to the larger number.)
2a = 6b (Twice the larger number equals six times the smaller number.)
With the 1st equation, we could substitute a = 4b - 4 into the second equation.
We get
2(4b-4) = 6b
8b - 8 = 6b
2b = 8
b = 4
Substituting back into the first equation,
a = 4(4) - 4 = 12
Therefore the two numbers are 12 and 4.
the answer is four and twelve
What is the following sum? 2 (RootIndex 3 StartRoot 16 x cubed y EndRoot) 4 (RootIndex 3 StartRoot 54 x Superscript 6 Baseline y Superscript 5 Baseline) 4 x (RootIndex 3 StartRoot 2 y EndRoot) 12 x squared y (RootIndex 3 StartRoot 2 y squared EndRoot) 8 x (RootIndex 3 StartRoot x y EndRoot) 12 x cubed y squared (RootIndex 3 StartRoot 6 y EndRoot) 16 x cubed y (RootIndex 3 StartRoot 2 y squared EndRoot) 48 x cubed y (RootIndex 3 StartRoot 2 y EndRoot).
Equivalent expressions are expressions that have the same value, and can be used interchangeably.
The result of the sum \(2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})\) is \(4x\sqrt[3]{2y} + 8x^2y\sqrt[3]{2y^2})\)
The expression is given as:
\(2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})\)
Rewrite the expression as:
\(2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 2 (\sqrt[3]{2^4x^3y}) + 4 (\sqrt[3]{3^3 \times 2x^6y^5})\)
Evaluate the roots
\(2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 2 (2x\sqrt[3]{2y}) + 4 (3x^2y\sqrt[3]{2y^2})\)
Open the brackets
\(2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 4x\sqrt[3]{2y} + 12x^2y\sqrt[3]{2y^2})\)
The above expression cannot be further simplified.
Hence, the result of the sum \(2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})\) is \(4x\sqrt[3]{2y} + 8x^2y\sqrt[3]{2y^2})\)
Read more about equivalent expressions at:
https://brainly.com/question/2972832
The sum of the expression is \(4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\\).
We have to determine, the sum of the given expression.
According to the question,
Expression; \(2(\sqrt[3]{16x^3y} +4(\sqrt[3]{56x^6y^5})\)
To determine the sum of the given expression following all the steps given below.
Rewrite the expression term in the form of their cubes,
\(\rm = 2(\sqrt[3]{16x^3y} +4(\sqrt[3]{56x^6y^5})\\\\ = 2(\sqrt[3]{2^4x^3y} +4(\sqrt[3]{3^3 \times 2 \times x^6y^5})\\\\= 2\times 2(\sqrt[3]{x^3y} +4\times 3(\sqrt[3]{ 2 \times x^6y^5})\\\\= 4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\\\=4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\\)
Hence, The sum of the expression is \(4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\\).
For more details refer to the link given below.
https://brainly.com/question/21798224
What is the volume of this composite solid?
5 m
12 m
9 m
A. 864 cubic meters
B. 567 cubic meters
C. 1188 cubic meters
D. 132 cubic meters
I need help plz may mark brainiest
The answer is a. 864
A vet treats dogs (D), cats (C), birds (B), hamsters (H), and reptiles (R). A veterinary assistant randomly selects a patient’s file.
What is the sample space for this experiment?
Responses
S={D, B, H}
S equals left curly bracket D comma B comma H right curly bracket
S={D, C, B, H, R}
S equals left curly bracket D comma C comma B comma H comma R right curly bracket
S={C, B, H, R}
S equals C comma B comma H comma R right curly bracket
S={D}
Answer:
The sample space for the experiment of randomly selecting a patient's file from the given animals is:
S={D, C, B, H, R}
The sample space includes all the possible outcomes of the experiment, which in this case are the animal types that can be selected by the veterinary assistant. Since the assistant can randomly select a file for any of the five types of animals, the sample space consists of all the possible animal types, which are D (dogs), C (cats), B (birds), H (hamsters), and R (reptiles).
Step-by-step explanation:
Select the correct statement:
(this is only briefly mentioned in the video, if you have a difficult time finding it, or just want to make sure you answer is correct, you can find the answer in the book too)
Group of answer choices
Freud is not a stage theorist
Freud is a stage theorist
Freud is a stage theorist. Sigmund Freud, the renowned Austrian neurologist and psychoanalyst, is widely recognized as one of the pioneers in the field of psychoanalysis.
He proposed a developmental theory that included psychosexual stages of development. According to Freud, human development progresses through distinct stages, each characterized by a specific focus on different erogenous zones. These stages include the oral stage, stage, phallic stage, latency stage, and genital stage. Freud believed that the way individuals navigate these stages influences their personality and psychological well-being in adulthood.
Although Freud's stage theory has been critiqued and modified over time, his ideas regarding the importance of early childhood experiences and unconscious processes have had a profound impact on psychology and continue to shape our understanding of human development.
To know more about psychoanalyst:
https://brainly.com/question/279955
#SPJ4
write a variable expression for each word phrase. (16 more than m)
Given the word phrase ( 16 more than m )
More than mean addition, so we will use the sign (+)
so, the expression will be:
\(m+16\)