Answer: Line 3
Step-by-step explanation:
A andwich hop erve 4 ounce of meat and 3 ounce of cheee on each andwich. After making andwiche for an hour, the hop owner ha ued 91 combined ounce of meat and cheee. How many combined ounce of meat and cheee are ued on each (1) andwich?
The combined ounces of meat and cheese used on each sandwich is 7 ounces and the combined ounces of meat on all sandwiches is 52 ounces and that of cheese on all sandwiches is 39 ounces.
According to the question,
We have the following information:
A sandwich hop serve 4 ounce of meat and 3 ounce of cheese on each sandwich. After making sandwiches for an hour the hop owner has used 91 combined ounce of meat and cheese.
Combined ounces for 1 sandwich:
Ounces of meat + ounces of cheese
4+3
7 ounces
It is given that in an hour 91 ounces of combined cheese and meat are used.
Now, we have:
Number of sandwiches made in 1 hour = 91/7
Number of sandwiches = 13
Ounces of meat used in 13 sandwiches can be found using multiplication as follows:
13*4
Ounces of meat used in 13 sandwiches = 52 ounces
Ounces of cheese used in 13 sandwiches can found using multiplication as follows:
13*3
Ounces of cheese used in 13 sandwiches = 39 ounces
Hence, the combined ounces of meat and cheese used on each sandwich is 7 ounces and the combined ounces of meat on all sandwiches is 52 ounces and that of cheese on all sandwiches is 39 ounces.
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Suppose your friend's parents invest $10,000 in an account paying 6% compounded annually. What will the balance be after 7 years?
The account balance will be $
(Round to the nearest cent as needed.)
The balance will be $15,036.30 after 7 years.
What is Compound Interest?Compound interest, also known as interest on principle and interest, is the practise of adding interest to the principal amount of a loan or deposit.
We have,
P = $10,000
R= 6%
T= 7 years
r = R/100
r = 6/100
r = 0.06 rate per year,
Then solve the equation for A
A = P(1 + r/n\()^{nt\)
A = 10,000.00(1 + 0.06/1)⁷
A = 10,000.00(1 + 0.06)⁷
A = $15,036.30
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The midpoint of AB is M (4, 4). If the coordinates of A are (2, 1), what are the
coordinates
of B?
Answer:
(6,7)
Step-by-step explanation:
Let B(x,y).
By the midpoint formula,
4 is the average of 2 and x, so x = 6.Similarly, y = 7.So, the coordinates of B are (6,7).
Which expression is equivalent to (2x – 4) (3x2 – 5x – 2)?
A. 3x2-3x-6
B. 3x2-10x+8
C. 6x3+2x2-24x-8
D. 6x3 -22x2+16x+8
Answer:
d
Step-by-step explanation:
Translate the figure 7 units left and 3 units up.
PLEASE HELP ASAP
Answer:
(-4, 5), (-3, 9), (2, 9)
Step-by-step explanation:
Mathematics: Explain/define.
When you translate a figure, you are moving only changing the location of the figure.
(X-COORDINATE): LEFT - SUBTRACT / RIGHT - ADD
(Y-COORDINATE): DOWN - SUBTRACT / UP - ADD
↓
For example, in this problem, the figure must be translated 7 units left and 3 units up.
This means to subtract the x-coordinates from 7 and add the y-coordinates to 3. (x - 7, y + 3)
Mathematics: Solve.
Original coordinates:
(3, 2) → (-4, 5).
(4, 6) → (-3, 9).
(9, 6) → (2, 9).
Mathematics: Conclude.
Therefore the new coordinates are: (-4, 5), (-3, 9), and (2, 9).
What is the activation energy of a reaction if it has the following rate constants? Rate Constant Temperature 6.20 x 10-4 s-1 700 K 2.39 X 10-2 s-1 760 K'
The activation energy of the reaction is approximately 126.8 kJ/mol. The calculation was done using the Arrhenius equation and the natural logarithm of the rate constants at the two temperatures.
To calculate the activation energy of a reaction, we can use the Arrhenius equation:
k = A * e⁽⁻ᴱᵃ/ᴿᵀ⁾
where k is the rate constant, A is the pre-exponential factor, Ea is the activation energy, R is the gas constant, and T is the temperature in Kelvin.
We have two rate constants at different temperatures, so we can set up two equations:
k₁ = A * e⁽⁻ᴱᵃ/ᴿᵀ₁⁾
k₂ = A * e⁽⁻ᴱᵃ/ᴿᵀ₂⁾
We want to solve for Ea, so we can take the natural logarithm of both sides of each equation:
ln(k₁) = ln(A) - Ea/RT₁
ln(k₂) = ln(A) - Ea/RT₂
We can subtract the second equation from the first to eliminate ln(A):
ln(k₁) - ln(k₂) = Ea/R * (1/T₂ - 1/T₁)
Now we can solve for Ea:
Ea = -R * (ln(k₁) - ln(k₂)) / (1/T₂ - 1/T₁)
Plugging in the given values, we get:
Ea = -8.314 J/mol/K * (ln(6.20 x 10⁻⁴) - ln(2.39 x 10⁻²)) / (1/760 K - 1/700 K)
Ea ≈ 126.8 kJ/mol
Therefore, the activation energy of the reaction is approximately 126.8 kJ/mol.
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Occasionally, & random sample of three packages of Skittles Is selected from the output and weighed, to be sure that the manufacturing process is under control. Here are data on five such samples Measurements are in ounces: Sample Measurements 3.61 3.58 3.62 3.65 3.62 3.49 3.56 3.58 43.67 3.49 3.65 3.45 3.64 3.54 3.61 What is average of the sample ranges for the weight of packages of Skittles? Select one: 0.16 b. 0.06 c.0.10 none of the above e.0.11
The average of the sample ranges for the weight of packages of Skittles is 0.11. So, the correct answer is (e) 0.11.
To find the average of the sample ranges for the weight of packages of Skittles, we first calculate the range for each sample. The range is the difference between the maximum and minimum values in each sample.
Sample 1: Range\(= 3.62 - 3.58 = 0.04\)
Sample 2: Range\(= 3.65 - 3.49 = 0.16\)
Sample 3: Range \(= 3.65 - 3.45 = 0.20\)
Sample 4: Range \(= 3.64 - 3.54 = 0.10\)
Sample 5: Range\(= 3.62 - 3.49 = 0.13\)
Next, we calculate the average of these sample ranges:
A\(verage = (0.04 + 0.16 + 0.20 + 0.10 + 0.13) / 5 = 0.11\)
Therefore, the average of the sample ranges for the weight of packages of Skittles is \(0.11\). So, the correct answer is (e) \(0.11.\)
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boy can mow a lawn in 90 minutes and his sister can mow the same lawn in 60 minutes. how long will it take for both mowing at the same time to mow the lawn?
The time taken by both to mow the lawn is 36 minutes.
This is a question of time and work.
It is given that:-
Time taken by boy to mow the loan = 90 minutes.
Time taken by girl to mow the loan = 60 minutes.
We have to find the time taken by both of them together to mow the lawn.
LCM(60,90) = 180
Let the total work to be done to mow the lawn be 180 units.
Hence,
Efficiency of boy = 180/90 = 2 units
Efficiency of girl = 180/60 = 3 units
Total efficiency = 2 + 3 = 5 units.
Hence, time taken by both of them to mow the lawn = 180/5 = 36 minutes.
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Blanca has dimes and quarters in her purse. The number of dimes is 2 less
than 5times the number of quarters. Let q represent the number of quarters.
Write an expression for the number of dimes.
Step-by-step explanation:
Let :d=dimes and q=quarters
d=2-5(q)
Find the missing number.
Increased
by 25
Decreased
by. %
The percentage by which the number has to be decreased is 20%.
What do you mean by algebraic expression?It represents a mathematical relationship or calculation. For example, the expression "2x + 3" is an algebraic expression that represents a linear equation with a variable x and constants 2 and 3. Algebraic expressions can be simplified, evaluated for specific values of the variables, and used to solve equations.
Given:
A number is increased by 25%
To find:
The percentage by which it has decreased
Solution:
The percentage by which the number has to be decreased is 20%.
We can find the percentage by following the given steps-
We know that a number increased by a percentage decreases by a different percentage.
Let us assume that the number is 100.
We know that this number has been increased by 25%.
So, the new number=100+25% of 100
=100+25/100×100
=100+25
=125
Now, the new number is 125.
Let us assume that this number has to be decreased by X% to obtain 100.
So, 125-X% of 125=100
125-X/100×125=100
125-1.25X=100
125-100=1.25X
25=1.25X
25×100/125=X
2500/125=X
X=20%
Therefore, the percentage by which the number has to be decreased is 20%.
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Juanita has a storage closet at her shop with extra bottles of lotion and shower gel. some are scented and some are unscented. if she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel. for the events "shower gel" and "scented" to be independent, what must be shown to be true? p(lotion) = 42% p(scented) = 42% p(shower gel | scented) = 42% p(scented | shower gel) = 42%
The probability of selecting a shower gel given item is scented must be the same as grabbing shower gel which is 42%.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Juanita has a storage closet at her shop with extra bottles of lotion and shower gel, some are scented and some are unscented.
If she reaches into the closet and grabs a bottle without looking, she has a 42% chance of grabbing a bottle of shower gel.
For the events "shower gel" and "scented" to be independent.
P(A|B) = P(A)
P(B|A) = P(B)
P(A∩B) = P(A) × P(B)
We know that the probability she selects a shower gel is 42%. Let this event be A. Then we have
P(shower | scented) = P(shower gel) = 42%
This must be true for the events to be independent.
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Answer:
The answer is
C - P(shower gel | scented) = 42%
Step-by-step explanation:
Hope this helped!
Toby says that the converse of
the following statement is true. Is Toby's reasoning correct? Explain.
If a number is divisible by 6, then it is divisible by 2
Answer:
false
Step-by-step explanation:
Because in a counterexample if 10 is divisible by 2 but not by 6 then it is false.
For each of the following relations, determine whether the relation is: • Reflexive. • Anti-reflexive. • Symmetric. • Anti-symmetric. • Transitive. • A partial order. • A strict order. • An equivalence relation.
a. is a relation on the set of all people such that (, ) ∈ if and only if and have a common grandparent.
b. is a relation on ℤ such that (, ) ∈ if and only if | − | ≤ .
c. is a relation on ℤ + such that (, ) ∈ if and only if is divisible by . Hint: An integer x is divisible by an integer y with y ≠ 0 if and only if there exists an integer such that x = y.
d. is a relation on ℤ + such that (, ) ∈ if and only if there is a positive integer such that = .
e. is a relation on ℤ × ℤ such that ((, ), (, )) ∈ if and only if < and < .
A relation on the (a) set of all people: symmetric, (b) a relation on ℤ: symmetric, (c) is a relation on ℤ +: reflexive, (d) is a relation on ℤ + if there is a positive integer: not symmetric, (e) is a relation on ℤ × ℤ: anti-reflexive.
a. This relation is reflexive since every person has a common grandparent with themselves. It is also symmetric since if person A has a common grandparent with person B, then person B has a common grandparent with person A.
However, it is not transitive since if person A has a common grandparent with person B, and person B has a common grandparent with person C, it does not necessarily mean that person A has a common grandparent with person C. Therefore, this relation is not a partial order or an equivalence relation.
b. This relation is reflexive since |a - a| = 0 for any integer a. It is also symmetric since if |a - b| ≤ k, then |b - a| ≤ k. However, it is not anti-symmetric since |a - b| ≤ k and |b - a| ≤ k does not imply that a = b. Therefore, this relation is not a partial order or an equivalence relation.
c. This relation is reflexive since every integer is divisible by itself. It is also transitive since if a is divisible by b and b is divisible by c, then a is divisible by c. However, it is not anti-symmetric since if a is divisible by b and b is divisible by a, it does not necessarily mean that a = b. Therefore, this relation is a partial order but not an equivalence relation.
d. This relation is not reflexive since there is no positive integer k such that k × k = k. It is also not symmetric since if k is not equal to l, then k × l is not equal to l × k. It is transitive since if k × l = m and l × n = p, then k × n = m × p. Therefore, this relation is a strict order but not a partial order or an equivalence relation.
e. This relation is not reflexive since (a, b) is not less than or equal to (a, b). It is also not anti-reflexive since (a, b) is less than or equal to (a, b). It is symmetric since if (a, b) is less than (c, d), then (c, d) is not less than (a, b). It is also transitive since if (a, b) is less than (c, d) and (c, d) is less than (e, f), then (a, b) is less than (e, f).
Therefore, this relation is a strict order but not a partial order or an equivalence relation.
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Use a Maclaurin polynomial for sin(x) to approximate sin (1/2) with a maximum error of .01. In the next two problems, use the estimate for the Taylor remainder R )K (You should know what K is)
The Maclaurin series expansion for sin(x) is: sin(x) = x - /3! + \(x^5\)/5! - \(x^7\)/7!
To approximate sin(1/2) with a maximum error of 0.01, we need to find the smallest value of n for which the absolute value of the remainder term Rn(1/2) is less than 0.01.
The remainder term is given by:
Rn(x) = sin(x) - Pn(x)
where Pn(x) is the nth-degree Maclaurin polynomial for sin(x), given by:
Pn(x) = x - \(x^3\)/3! + \(x^5\)/5! - ... + (-1)(n+1) * x(2n-1)/(2n-1)!
Since we want the maximum error to be less than 0.01, we have:
|Rn(1/2)| ≤ 0.01
We can use the Lagrange form of the remainder term to get an upper bound for Rn(1/2):
|Rn(1/2)| ≤ |f(n+1)(c)| * |(1/2)(n+1)/(n+1)!|
where f(n+1)(c) is the (n+1)th derivative of sin(x) evaluated at some value c between 0 and 1/2.
For sin(x), the (n+1)th derivative is given by:
f^(n+1)(x) = sin(x + (n+1)π/2)
Since the derivative of sin(x) has a maximum absolute value of 1, we can bound |f(n+1)(c)| by 1:
|Rn(1/2)| ≤ (1) * |(1/2)(n+1)/(n+1)!|
We want to find the smallest value of n for which this upper bound is less than 0.01:
|(1/2)(n+1)/(n+1)!| < 0.01
We can use a table of values or a graphing calculator to find that the smallest value of n that satisfies this inequality is n = 3.
Therefore, the third-degree Maclaurin polynomial for sin(x) is:
P3(x) = x - \(x^3\)/3! + \(x^5\)/5!
and the approximation for sin(1/2) with a maximum error of 0.01 is:
sin(1/2) ≈ P3(1/2) = 1/2 - (1/2)/3! + (1/2)/5!
This approximation has an error given by:
|R3(1/2)| ≤ |f^(4)(c)| * |(1/2)/4!| ≤ (1) * |(1/2)/4!| ≈ 0.0024
which is less than 0.01, as required.
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Find the sum of the geometric series
1+1.2 + 1.22 +1.23 + ... +1.274
Answer:
5.924 I may be wrong though sorry
Step-by-step explanation:
I hope I could help you! (:
Ok so I messed up big time I’m so sorry I don’t understand
What is the value of the expression when a = 3 and b = 5?
3a+b−4
4
7
10
34
Select all ratios equivalent to 4:8.
21:24
5:10
2:5
Answer:
just 5:10
Step-by-step explanation:
to find ratios equivalent to 4:8 we must find the most basic version first
4:8 is also 1:2 if u divide both sides by 4
now try simplifying all of the other ones to see if u can get 1:2
21:24 becomes 7:8 so it is not one
5:10 becomes 1:2 so it is one
2:5 stays 2:5 so it is not one
so the answer is 5:10
just 5:10
PLS HELP
if u do ill mark u branliest
Hello there!
15 is a term so the first digit in the code is 4.
15-3y is an expression so the second digit in the code is 5
4 5 x x x is the code right now
Now, let's solve the third puzzle:
4(2y-3)-2y=24
8y-12-2y=24
Combine like terms:
6y=36
x=6
4 5 4 x x is the code right now
The next problem:
1/3(12x-3)=7
4x-1=7
4x=8
x=2
4 5 4 2 x is the code right now
Problem 5: I think it's infinite solutions
4 5 4 2 4 is the code!
I hope it is correct! If it isn't, don't report and send me more puzzles! I would love to strain my brain!
Your friend, \(GraceRosalia\)
Answer:
1) 15 is a variable (2)
2) 15y-3 is a term (4)
3) y=6 (4)
4) x=2 (2)
5) infinite solutions (4)
the code is 24424
Step-by-step explanation:
This scatter plot Marie’s best 200 meter times each week after she began training. The equation represents the linear model for this data. Y=-0.4x+29.8. According to the model, what will Marie’s lowest time be after 14 weeks? Enter your exact answer in the box.
According to the given linear model equation, Y=-0.4x+29.8, where Y represents Marie's best 200 meter time and x represents the number of weeks since she began training, we can predict Marie's lowest time after 14 weeks. To do this, we simply substitute x=14 into the equation and solve for Y.
Y=-0.4(14)+29.8
Y=-5.6+29.8
Y=24.2
Therefore, Marie's predicted lowest time after 14 weeks of training is 24.2 seconds.
It is important to note that this prediction is based solely on the linear model and assumes that Marie's training progress will continue to follow the same pattern as the data observed in the scatter plot. It is possible that external factors such as injuries, illness, or changes in training regimen could affect her performance, leading to variations in her actual best 200-meter times.
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What is the equation to find the height of a rectangular prism with a length of 16 cm, a width of 8 cm, and a volume of 392 cm
The height of the Rectangular prism is approximately 3.0625 cm when the length is 16 cm, the width is 8 cm, and the volume is 392 cm³.the volume of a rectangular prism, which is given as:volume = length x width x height ; 392 cm³ = 16 cm x 8 cm x h
To find the height of a rectangular prism with a given length, width, and volume, we can use the formula for the volume of a rectangular prism, which is given by:
Volume = Length x Width x Height
In this case, we are given the length of 16 cm, the width of 8 cm, and a volume of 392 cm³. We need to find the height of the rectangular prism.
Let's denote the height of the prism as h. Plugging in the given values into the volume formula, we have:
392 cm³ = 16 cm x 8 cm x h
To find the height, we need to isolate the variable h. We can do this by dividing both sides of the equation by the product of 16 cm and 8 cm:
392 cm³ / (16 cm x 8 cm) = h
Simplifying the right side of the equation:
392 cm³ / 128 cm² = h
Simplifying the division:
3.0625 cm = h
The formula is derived from the formula for the volume of a rectangular prism, which is given as:volume = length x width x height
392 cm³ = 16 cm x 8 cm x h
Therefore, the height of the rectangular prism is approximately 3.0625 cm when the length is 16 cm, the width is 8 cm, and the volume is 392 cm³.
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Please help me with this, will give brainliest
Answer:
\( \frac{18 {x}^{2} + 30x + 8 }{6 {x}^{2} - 58x - 20} \div \frac{3 {x}^{2} - 20x - 32 }{ {x}^{2} - 2x - 48} = \)
\( \frac{9 {x}^{2} + 15x + 4}{3 {x}^{2} - 29x - 10} \times \frac{ {x}^{2} - 2x - 48}{3 {x}^{2} - 20x - 32} = \)
\( \frac{(3x + 1)(3x + 4)}{(3x + 1)(x - 10)} \times \frac{(x + 6)(x - 8)}{(3x + 4)(x - 8)} = \)
\( \frac{x + 6}{x - 10} \)
PLEASE HELP ASAP NEED ANSWER VERY QUICK!!
Answer:
Translation
Step-by-step explanation:
Not completely sure.
Can I have Brainliest?
Answer:
Translation
Step-by-step explanation:
The square is just moved to another side, its not rotted or reflected (if it were reflection it would be in the -x side)
Given the following discrete probability mass function (f(x)): f(x) 1/4 1/8] 1/4 3/8 Find the following probabilities: a) P(x = 3) = b) P(x < 4) = c) P(x > 3) = d) P(2
These probabilities are calculated based on the given probability mass function and represent the likelihood of specific events occurring with the random variable x.
What is the probability of getting a sum of 7 when rolling two fair six-sided dice?P(x = 3) represents the probability of getting the value 3 from the random variable x. In this case, the probability is 1/4, which means there is a 1/4 chance of getting the value 3.
P(x < 4) represents the probability of getting a value less than 4 from the random variable x. Since all the values in the given probability mass function are less than 4, the probability is 1, indicating that it is certain to get a value less than 4.
P(x > 3) represents the probability of getting a value greater than 3 from the random variable x. In the given probability mass function, there are 3 values greater than 3 (1/4 + 3/8), so the probability is 3/8.
P(2 < x < 4) represents the probability of getting a value between 2 and 4 (exclusive) from the random variable x. In the given probability mass function, there are two values within this range (1/8 + 1/4), so the probability is 3/8.
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Someone help me on these questions please
Answer:
1) is D
2)is B
3)is unsure
Step-by-step explanation:
i used a graphing calculator
an event that increases the probability that a response will be repeated is called _____.
The term that describes an event that increases the likelihood of a response being repeated is known as reinforcement.
Reinforcement can be defined as any consequence that strengthens or increases the probability of a behavior occurring again in the future. This can include positive reinforcement, which involves adding a desirable consequence after a behavior, or negative reinforcement, which involves removing an aversive consequence after a behavior. Both types of reinforcement have been shown to be effective in increasing the likelihood of a behavior being repeated.
Overall, understanding the concept of reinforcement is essential in the field of psychology, particularly in the areas of behaviorism and behavior modification. By providing positive consequences after desired behaviors, individuals can be motivated to continue engaging in those behaviors, which can lead to long-term positive changes. Reinforcement can also be used to shape new behaviors or replace unwanted behaviors with more desirable ones.
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Leave answer in the simplest radical form.
\(\frac{7x^-^3^/^2y^5^/^2z^-^2^/^3}{56x^-^1^/^2y^1^/^4}\)
\(\cfrac{7x^{-\frac{3}{2}} ~~ y^{\frac{5}{2}} ~~ z^{-\frac{2}{3}}}{56 x^{-\frac{1}{2}} ~~ y^{\frac{1}{4}}}\implies \cfrac{7}{56}\cdot \cfrac{y^{\frac{5}{2}} ~~ y^{-\frac{1}{4}}}{x^{-\frac{1}{2}} ~~ x^{\frac{3}{2}} ~~ z^{\frac{2}{3}}}\implies \cfrac{1}{8}\cfrac{y^{\frac{5}{2}-\frac{1}{4}}}{x^{-\frac{1}{2}+\frac{3}{2}}~~ z^{\frac{2}{3}}}\)
\(\cfrac{y^{\frac{9}{4}}}{8x z^{\frac{2}{3}}}\implies \cfrac{\sqrt[4]{y^9}}{8x\sqrt[3]{z^2}}\implies \cfrac{\sqrt[4]{y (y^2)^4}}{8x\sqrt[3]{z^2}}\implies \cfrac{y^2 \sqrt[4]{y}}{8x\sqrt[3]{z^2}}\)
The functions f and g are defined by fx=8x+33 and gx=2. 1.2x 1
Which function eventually grows faster, f or g? explain how you know.
80 points
Answer:
To determine which function eventually grows faster, we need to look at their growth rates as x approaches infinity.
For function f(x), the growth rate is 8x, which means that as x gets larger, f(x) gets larger at a rate of 8 times x.
For function g(x), the growth rate is 1.2x, which means that as x gets larger, g(x) gets larger at a rate of 1.2 times x.
Since 8x grows faster than 1.2x as x approaches infinity, we can conclude that function f(x) grows faster than function g(x) in the long run.
Therefore, function f(x) eventually outgrows function g(x).
I took a pic I hope that's fine
Answer:
20/35
Step-by-step explanation:
The framed wall art Modern is 20 and the total is 35 so unless you have to simplify this should be the answer
please help i’ll mark brainliest
Answer:
13 cubes
Step-by-step explanation:
cube is a 3D square basically
so you can do the volume
2 * 1 * 7/4
14/4
14/4 and you divide it by 1/4
14/4 ÷ 1/4 or 14/4 * 4/1
52/4
13 cubes
Answer:
224 cubes to fill the entire prism.
Step-by-step explanation:
recall rectangular prism volume: length * breadth * heightrecall cube volume: length³using the formula:
full prism volume: 2 * \(\frac{7}{4}\) * 1 = 3.5 cm³
volume of single cube: (\(\frac{1}{4}\))³ = \(\frac{1}{64}\) cm³
so ? cubes to fill: 3.5 / \(\frac{1}{64}\) = 224 cubes.
Can you help finish my trigonometry maze?? And show me the equation for each I know some of them are finding angles and I’m stuck please help.
Using the trigonometric ratios of sine, cosine and tangents will help solve navigate the maze.
What is trigonometry?Trigonometry is the study of the relationships between side lengths and angles of triangles.
The three main trigonometry functions are sine, cosine and tangent.
For right-angled triangles, the ratios of the three trigonometric functions are:
Sine = opposite/hypotenuseCosine = adjacent/hypotenuse Tangent = opposite/adjacentFor the given maze, the missing measures are found using the angles and the side given.
For example:
tan 52 = 40/x
x = 40/tan 52 = 31.3
Therefor, using the trigonometric ratios will help solve navigate the maze.
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