The answer is C. Ability to rust. This is because rusting is a chemical property of a substance, which is caused by environmental factors causing said substance to tarnish.
Consider the function f(x)=3x2−25−−−−−−√ over the interval [3,4]. Does the extreme value theorem guarantee the existence of an absolute maximum and minimum for f(x) on this interval?
The absolute maximum of f(x) on [3,4] is f(3) = 2 and the absolute minimum is f(4) = -7.The extreme value theorem does guarantee the existence of an absolute maximum and minimum for f(x) on this interval.
The extreme value theorem states that if a function is continuous over a closed interval, then it must have an absolute maximum and an absolute minimum on that interval.
In this case, the function f(x) is continuous over the closed interval [3,4], as it is a square root function and the square root of a non-negative number is always defined.
To find the absolute maximum and minimum of f(x) on [3,4], we need to evaluate f(x) at the endpoints and any critical points in the interval. However, since f(x) is a decreasing function on [3,4], the maximum value of f(x) occurs at the left endpoint x=3 and the minimum value occurs at the right endpoint x=4.
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PLEASE HELP The domain is {x∈R| x≠−3}, and the range is {y∈R| y≠−5}. The domain is {x∈R| x≠−2}, and the range is {y∈R| y≠−5}. The domain is {x∈R| x≠−5}, and the range is {y∈R| y≠−2}. The domain is all real numbers, and the range is all real numbers as well.
The domain is {x∈R| x≠−2}
The range is {y∈R| y≠−5}
====================================================
Explanation:
Using the function, we can factor the numerator to get
x^2-x-6 = (x-3)(x+2)
Then the (x+2) terms cancel out leaving x-3 only
Therefore, f(x) simplifies to f(x) = x-3.
This produces the straight line graph that is shown. But there's a hole at (-2,-5)
Why is this? It's because plugging x = -2 into the original equation (before you simplify) leads to a division by zero error.
The denominator x+2 becomes -2+2 = 0 and we can't divide by zero.
If we plugged x = -2 into the simplified version of f(x), then we have
f(x) = x-3
f(-2) = -2-3
f(-2) = -5
Showing why the hole is at (-2,-5)
There is no way that x can equal -2, so this is why we kick it out of the domain. Similarly, there's no way to get to y = -5, and this value is kicked out of the range.
The notation x∈R means that x is in the real number set. Saying {x∈R| x≠−2} means x is any real number but -2. The range is a similar story but we kick out -5 instead.
Jenny está en la página 250 de su novela de 375 páginas, Gabriel está en la página 243 de las 405páginas de la suya y Jessica está leyendo la página 448 de las 768 páginas de la suya. ¿Quién ha hecho lalectura más alejada de su novela y qué fracción de la novela los separa de los demás?
Answer:
Jenny es la más alejada de su novela, con 6.66/100 por delante de Gabriel, y 8.33/100 por delante de Jessica.
English Translation: "Jenny is furthest through her novel, at 6.66/100 ahead of Gabriel, and 8.33/100 ahead of Jessica."
Step-by-step explanation:
Translation to English: "Jenny is on page 250 of her 375-page novel, Gabriel is on page 243 of the 405 pages of hers, and Jessica is reading page 448 of the 768 pages of hers. Who has done the furthest reading of their novel and what fraction of the novel separates them from the others?"
For the first part of question, where is asks who is farther through their book, calculate percentage, which is calculated from division:
250/375 = 0.66..., or 66.66%
243/405 = 0.6, or 60%
448/768 = 0.5833..., or 58.33%
We can already see that Jenny is furthest through her book, as she is around 6.66% farther than Gabriel and 8.33% farther than Jessica.
But, to answer the second part of the question, we must convert this information to fractions, which can be done by putting the values over 100:
66.66/100, 60/100, 58.33/100. Now, since they are already in the same denominators, we can easily tell how far they are from one another in fractions: Jenny is 6.66/100 ahead of Gabriel, and 8.33/100 ahead of Jessica.
If I helped, please make this answer brainliest! ;)
which of the following shows the length of the third side, in inches, of the triangle below?
Answer:
20 inches
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²Step-by-step explanation:
Step 1: Identify Variables
Leg a = x
Leg b = 15
Hypotenuse c = 25
Step 2: Solve for x
Substitute [PT]: x² + 15² = 25²Isolate x term: x² = 25² - 15²Exponents: x² = 625 - 225Subtract: x² = 400Isolate x: x = 20Answer:
20 inches
Step-by-step explanation:
Step 1: Understanding Pythagorean Theorem
The Pythagorean Theorem is \(a^{2} +b^{2}+c^{2}\). It is used to find the side lengths of a right triangle.
Step 2: Using the Theorem
We can see that the triangle shown is a right triangle and we know two sides so we can solve for the last side.
We can denote -
a - 15
b - unknown
c - 25
(note, c is always the hypotenuse or the longest side of the triangle)
We can plug in the numbers -
\(15^{2} +b^{2} =c^{2}\)
\(225 +b^{2}=625\)
\(b^{2} =625-225\)
\(b^{2} =400\)
\(b=20\)
help me now please hurry. inna rush
Answer:
A
Step-by-step explanation:
Lucy recently asked the servers at her restaurant to only give straws to customers who request them. she thinks that about half of the customers will ask for straws but hopes that the rate will be less than half. she randomly selects 100 customers and finds that 43 of them ask for a straw. to determine if these data provide convincing evidence that the proportion of customers who will ask for a straw is less than 50%, 150 trials of a simulation are conducted. lucy is testing the hypotheses: h0: p = 50% and ha: p < 50%, where p = the true proportion of customers who will ask for a straw. based on the results of the simulation, what is the estimate of the p-value of the test? a. 0.0333 b. 0.05 c. 0.0733
d. 0.11
Answer:
Because the P-value of 0.0733 > , Lucy should fail to reject H0. There is not convincing evidence that the proportion of customers who will ask for a straw is less than 50%.
triangular park ABC has sides 3 m, 5 m, and 6 m. a gardener ravi wants to put a fence all around it and also plant grass inside. how much area does he need to plant?
Step 1) Check if the given triangle lengths form a right triangle
3^2 + 5^2 = 6^2
9 + 25 = 36
36 = 36
Step 2) Solve for the area of the triangle
Formula: A = 1/2 x base x height
A = 1/2 x 3 x 5
A = 1/2 x 15
A = 7.5 m^2
Step 3) Solve for the perimeter of the triangle
Formula: P = sum of all sides
P = 3 + 5 + 6
P = 14 m
Ravi needs to plant 7.5m^2 of grass and put up a fence that is 14m in total length.
Hope this helps!! :)
Consider the function f(x)=√x2+9−x.
A. Find the vertical and horizontal asymptotes.
B. Find the interval where the function is decreasing.
C. Find the interval where the function is concave up.
D. Sketch the graph of f.
what is the answer to this math problem?
Answer:
0.84 pounds per week
Step-by-step explanation:
as we can see, the graph ends below 7(not exactly 7, assume it to be 6.72) in y axis and 8 in axis.
so 6.72/8 = 0.84 pound per week
express
the speed
10m
per second as
km per hour
10 m/s can be expressed as 36km/h.
Here, we are given an expression for speed, that is: 10 meter per second.
Now, as per the rules of mathematics,
1 kilometer = 1000 meters
⇒ 1 meter = 1/1000 kilometers
or 1 meter = 0.001 kilometers
and also, 1 hour = 60 mins
and 1 min = 60 seconds
⇒ 60 mins = 60 × 60 seconds
= 3600 seconds
Thus, 1 hour = 60 mins = 3600 seconds
⇒ 1 second = 1/3600 hours
Now, we need to convert meter per second into kilometer per hour,
1 meter/ 1 second = \(\frac{0.001}{\frac{1}{3600} }\)
= (0.001 × 3600)/ 1
= 3.6
This 1 meter per second = 3.6 kilometer per hour
⇒ 10 meter per second = 3.6 × 10 = 36 kilometers per hour
Thus, 10 m/s is 36km/h.
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*97 POINTS*
Use the numerals representing cardinalities in the Venn diagram, shown on the right, to give the cardinality of the set
A' ∩ B' ∩ C. '
n(A' ∩ B' ∩ C')= ___________
Answer:
19
Step-by-step explanation:
A' represents everything out A
B' represents everything out B
C' represents everything out C
So only the outside is left hope this helps
Can you please show work. I will give brainliest.
Answer:
B
Step-by-step explanation:
area of a rectangle is l times width
24x30=720
top triangles are is 49.5
middle triangle is 67.5
bottom triangle is 150
add everything up
Answer:
B.) 978 square inches
Step-by-step explanation:
Area formula for a square: lw
L=30
W=24
30·24=720
Area formula for a triangle: BH1/2
1st & 2nd Triangles
B=9
H=12
(9)(12)(1/2)=54
(9)(12)(1/2)=54
3rd Triangle: (15)(20)(1/2)=150
Add all the areas of the shapes: 54+54+720+150=978
Hope this helps! :)
Correct me if I'm wrong
Jessie draws a marble from the bag shown and then, without replacing the first marble,
he draws a second one.
Which expression shows the probability that he drew a red marble both times?
O 3/10 3/10
O3/10 3/9
3/10 2/10
O3/102/9
Answer:
Last choice:
3/10 · 2/9
Step-by-step explanation:
The total number of marbles and the number of red marbles is not provided but only one answer fits the problem solution
3/10 x 2/9 which is the last choice
It can be deduced that there are 10 marbles totally and 3 of them are red
The probability of a red marble on first draw = 3/10
After the first draw given a red marble was drawn, there are 2 red marbles and total of marbles so the probability of a second red marble = 2/9
The combined probability is 3/10 x 2/9
What is the distance between point A and point B?
10
B
9
8
7
6
5
4
3
2
1
A
х
0 1 2 3 4 5 6 7 8 9 10
V 81
V 45
7
7.5
Answer:
\( \sqrt{45} \)
Step-by-step explanation:
(5,9) and (2,3)
then by distance formula
\(d = \sqrt{{(x1 - x2)}^{2} + {(y1 - y2)}^{2} } \)
d²=3²+6²
d²=9+36
d²=45
\(d = \sqrt{45 } \)
4 times (12-8) + 2^3. (2 to the 3rd power)
Answer:
It's 48. Heres why:
Step-by-step explanation:
Our equation, I believe, is 4[(12-8) + 2³]. We can do the operations in the parenthesis:
4[(4)+8] (12-8 = 4, and 2³ is 8). If we add 4 + 8, we get 12. Multiply 12 by 4, we get 48.
Need help I’ll give brainliest
Answer: there are better people out there
Step-by-step explanation:
A score that is 3 points lower than the sample mean has a z-score of z=-0.25, and a score of X= 44 has a z-score of -0.75. What is the sample mean? O a. M=48 b. M=56 c. M=51 d. M=53
The sample mean is c) M=51.
To find the sample mean, we can use the formula for z-score:
z = (X - M) / s
where:
In this case, we have two equations with two unknowns:
-0.25 = (M - 3 - M) / s
-0.75 = (44 - M) / s
Multiplying both sides of the first equation by s gives us:
-0.25s = M - 3 - M
Simplifying gives us:
-0.25s = -3
Next, we can multiply both sides of the second equation by s:
-0.75s = 44 - M
Now we can substitute the value of s from the first equation into the second equation:
-0.75(-3 / 0.25) = 44 - M
Simplifying gives us:
9 = 44 - M
Finally, we can solve for M:
M = 44 - 9
M = 35
So the sample mean is 35.
However, this answer is not one of the options given. It's possible that there was a mistake in the original question or in the calculations. Double-checking the calculations and the original question can help determine the correct answer. In this case, the correct answer is c. M=51.
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Write the equation of a line that is parallel to y = –5/4x +7
and that passes through the point -4.1).
Step-by-step explanation:
a general line equation is
y = ax + b
the slope of a line is always the factor of x (a).
it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point to another.
so, here it is -5/4.
it says, when x changes by +4, then y changes by -5.
a parallel line must have the same slope. it just crosses the y-axis at a different point. and that is what b specifies in the equation. it tells us the y value when x = 0.
and we get it by using the point coordinates in the equation and then solve for b :
1 = -5/4 × -4 + b = (-5 × -4)/4 + b = 20/4 + b = 5 + b
b = -4
so, the full equation of the parallel line is
y = -5/4x - 4
The sum of 3 + 2h is a rational number
True
Not enough information
False
Answer
false
Step-by-step explanation:
False; h could be anything. For example, it could be pi, which is irriational.
Answer:
True
Step-by-step explanation:
If H is a decimal you can still but it a over b. You can still do it if it is a whole number or a negative
an unnormalized relation is a table that has more than one row.
An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.
Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.
In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.
To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.
In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.
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prime between number of 1234 to 1352
prime between number of 1234 to 1352 are 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327
Collins Middle School has 228 sixth grade students. If the sixth grade is 30% of the total school, how many students are in the middle school?
Answer:
760 students
Step-by-step explanation:
divide 228 ÷ 30%
30% = 0.30
228 ÷ 0.30 = 760
he theater club is hosting a one-act competition to raise $1,220 for new costumes. It plans to sell tickets for $8 each and would like to earn within $100 of its goal. This is the equation representing this situation, where t is the number of tickets sold: |8t − 1,220| = 100. Type the correct answer in each box. Use numerals instead of words. To earn within $100 of its goal, the theater club needs to sell a minimum of tickets and a maximum of tickets.
Answer:
i think that your suppose to divide add and subtracct.
Step-by-step explanation:
Hope this helps.
Answer:
140
165
Step-by-step explanation:
To solve the absolute value equation, first rewrite the equation as two separate equations equal to -100 and 100:
8t − 1,220 = -100 8t − 1,220 = 100
8t = 1,120 8t = 1,320
t = 140 t = 165
To earn within $100 of its goal, the theater club needs to sell a minimum of 140 tickets and a maximum of 165 tickets.
if the variance of the population a is 10 and the variance of the population b is 15, does it mean that population a has less variability than population b?
Yes, the given statement is true if the variance of the population 'a' is smaller than the variance of population 'b' it represents that population 'b' is more variable than 'a'.
Population variance represents the measurement of spread of group data points.It shows the average squared deviation from the given mean.Whenever data points are very near to the mean then the variance has smaller value.And when data points are far away to the mean then it has larger value of variance.Here variance of population 'a' is 10 which is smaller than the variance of population 'b' .It represents population 'a' is less variable than population 'b'.Therefore, the given statement is true for the variance of population 'a' and 'b'.
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Find the difference:
(8x2
+ 6x + 4) – (8x2 + 10x – 6)
Step-by-step explanation:
8x^2 + 6x + 4 - 8x^2 - 10x + 6
-4x + 10
Find the exact value cos A in simplest radical form
Answer:
5/radical 26
Step-by-step explanation:
HELP HELP QUICK WHAT IS THIS
asa
aas
sas
not enough info?!
Answer:
Its either asa or sas but like i think is asa
Step-by-step explanation:
Answer:
the right answer is aas
Step-by-step explanation:
angle angle side because both angles are touching each other which is an easier way to tell.
a coin is tossed 17 times. 10. in how many outcomes do exactly 11 heads occur? a. 187 b. 494010316800 c. 8910720 d. 12376 e. 2048
The possible outcomes using exactly 11 heads is 12376.
What do you mean by tossed a coin?A coin toss has two possible results: heads or tails.
The result of each and every coin flip will either be heads or tails.
Therefore, the two results (heads or tails) are mutually exclusive; if the coin lands on heads during one toss, it cannot land on tails at that same toss.
Total number of different outcomes for 17 times toss = 2¹⁷
Exactly 11 heads can be found by combination ( exactly n heads possibility can be found by ¹⁷Cn =¹⁷C₁₁
¹⁷C₁₁ = factorial 17 ÷ (factorial (17 -11)× factorial 11)
¹⁷C₁₁ = 12376
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Are the two equations b=A/3 and A=3b equivalent ? How do you know ?
Answer:
Yes it is
Step-by-step explanation:
Because, If you multiply by 3 on both sides for the first equation, you will get 3b = a
please help! I need some help. Thanks.
Answer:
A”(-3, -18) B” (0, -27) C” (-12, -30)
Step-by-step explanation:
Two transformations have been listed beneath the graph. Complete them in order to get the solution.
The first transformation is a translation. A translation involves moving the shape across the graph without altering its form. To receive the coordinates for this. Add the <-3, -8> given to coordinates A, B, and C. Which should result in the following: A (-1, -6) B (0, -9) C (-4, -10)
Now complete the second transformation, which is a dilation. Dilations happen when a shape is either made smaller or larger by a set number. To complete the second transformation: take the number given: “3” and multiply each number in the coordinate sets you got after the first transformation by this number.
Which should result in: A”(-3, -18) B” (0, -27) C” (-12, -30)