Answer:
The answer should be 5 logx + 2 log y
2
✓3
✓5
✓6
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 24 ft long and 18 ft wide. If the gardener wants to build a
fence around the garden, how many feet of fence are required? (Use the value 3.14 for 1, and do not round your answer. Be sure to include the correct unit in
your answer.)
0
ft
ft?
ft
18
х
?
24 ft
Answer:
Area = 559.17 sq ft
Step-by-step explanation:
Area (rectangle) = 18 x 24 = 432
Area (semi-circle = πr²÷2 = 81π/2 = 127.17
PLEASE HURRY!!
State the domain and range for the function f(x) = 2x² - 7.
Domain
\(-\infty \: < x < \infty\)
Range
\(f\left(x\right)\ge \:-7\:\)
Question is inside of screenshot.
The linear function for population growth is given as follows:
P(t) = 2.66t + 255.64.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The two points that we are going to use is:
E(11, 284.9) and K(21, 311.5).
The slope is given by change in the output divided by change in the input, hence:
m = (311.5 - 284.9)/(21 - 11) = 2.66.
Hence:
P(t) = 2.66t + b.
From point E, when t = 11, P(t) = 284.9, hence we can use it to find the y-intercept of the function as follows:
284.9 = 2.66 x 11 + b
b = 255.64.
Hence the function for the population growth model is:
P(t) = 2.66t + 255.64.
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1. A manager has formulated the following LP problem. Draw the graph and find the optimal solution. (In each, all variables are nonnegative).
Maximize: 10x+15y, subject to 2x+5y ≤ 40 and 6x+3y ≤ 48.
The LP problem is to maximize the objective function 10x+15y subject to the constraints 2x+5y ≤ 40 and 6x+3y ≤ 48. By graphing the constraints and identifying the feasible region, we can determine the optimal solution.
To find the optimal solution for the LP problem, we first graph the constraints 2x+5y ≤ 40 and 6x+3y ≤ 48. These constraints represent the inequalities that the variables x and y must satisfy. We plot the lines 2x+5y = 40 and 6x+3y = 48 on a graph and shade the region that satisfies both constraints.
The feasible region is the area where the shaded regions of both inequalities overlap. We then identify the corner points of the feasible region, which represent the extreme points where the objective function can be maximized.
Next, we evaluate the objective function 10x+15y at each corner point of the feasible region. The point that gives the highest value for the objective function is the optimal solution.
By solving the LP problem graphically, we can determine the corner point that maximizes the objective function. The optimal solution will have specific values for x and y that satisfy the constraints and maximize the objective function 10x+15y.
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The statement "P implies Q' is FALSE under which of the following conditions? Choose all that apply. a. P and Q are both true. b. P and Q are both false. c. P is true and Q is false. d. P is false and Q is true.
The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.
The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).
To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.
Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.
Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.
Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.
Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.
Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.
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If 2 > -a, then _____.
a > 2
a > -2
a < 2
a < -2
Answer:
B
Step-by-step explanation:
:))
Which table represents a linear function?
୦
X
1
no
2
4
y
-2
-6
-2
-6
Because the graph always has a consistent slope of +2, the table x|y-2| 4|0| 6|2| is an illustration of a linear function table.
In order for a table to represent a linear function, there must be a constant rate of change (slope) between any two points on the graph. In other words, the relationship between the x-values and y-values should follow a consistent pattern.
The correct table that represents a linear function is: x|y-2| 4|0| 6|2|This is because there is a constant rate of change of +2 between any two points on the graph. For example, when x goes from 2 to 4, y increases from -2 to 0. When x goes from 4 to 6, y increases from 0 to 2.
This constant rate of change indicates that the relationship between x and y is linear.
In summary, a table represents a linear function when there is a constant rate of change between any two points on the graph. The table x|y-2| 4|0| 6|2| is an example of a linear function table because there is a consistent slope of +2 between any two points on the graph.
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Seema bought a new pair of jeans that were on sale. The original price of the jeans was $56. The store had marked them down by 25 percent, and Seema had a 20 percent off coupon as well. Original price: $56 25% 25% 25% 25% $42 20% 20% 20% 20% 20% $8.40 $8.40 $8.40 $8.40 What was the price of the jeans before tax? $8.40 $16.80 $33.60 $42.00
Answer:
C.) 33.60
Step-by-step explanation:
OMP. = $56
D. = 25%
0.25 * $56 = $14
SP. = $56-$14=$42
CD. = 20% of Selling price
= 0.20 * $42 = $8.40
FSP. = $42-$8.40 = $33.60
Answer:
c
Step-by-step explanation:
Given the equation
2x+2/y = 4w+2, what is the value of x?
O X=yW+y-1
O x= 2yW+y-1
O X = 2yw+y-2
O X= 4yw+2y-2
Answer:
x=2yW+y-1
Step-by-step explanation:
2x+2/y=4w+2
2x+2=4yw+2y
2x=4yw+2y-2
x=2yw+y-1
Option B is correct, if the equation is (2x+2)/y = 4w+2 then the value of x is 2wy+y-1
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is (2x+2)/y = 4w+2
We have to find the value of x
Which means we have to isolate the x term
2x+2=4wy+2y
Subtract 2 from both sides
2x=4wy+2y-2
Divide both sides by 2
x=2wy+y-1
Hence, option B is correct, if the equation is (2x+2)/y = 4w+2 then the value of x is 2wy+y-1
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there is no prior information about the proportion of americans who support gun control in 2018. if we want to estimate 95% confidence interval for the true proportion of americans who support gun control in 2018 with a 0.36 margin of error, how many randomly selected americans must be surveyed? answer: (round up your answer to nearest whole number)
Answer:
Step-by-step explanation:
To estimate the required sample size for estimating the true proportion of Americans who support gun control in 2018 with a 95% confidence level and a margin of error of 0.36, we need to use the formula:
n = (Z^2 * p * (1 - p)) / E^2
Where:
n = required sample size
Z = Z-score corresponding to the desired confidence level (for 95% confidence level, Z ≈ 1.96)
p = estimated proportion (since we have no prior information, we can use p = 0.5, which gives the maximum sample size required)
E = margin of error
Substituting the values into the formula:
n = (1.96^2 * 0.5 * (1 - 0.5)) / 0.36^2
n = (3.8416 * 0.25) / 0.1296
n ≈ 9.6042 / 0.1296
n ≈ 74.0842
Rounding up to the nearest whole number, the required sample size is approximately 75. Therefore, you would need to survey at least 75 randomly selected Americans to estimate the true proportion of Americans who support gun control in 2018 with a 95% confidence level and a margin of error of 0.36.
Darryl deposits $1,500 into a savings account that has a simple interest rate of 2.7%.
Lori deposits $1,400 into a savings account that has a simple interest rate of 3.8%.
If no other transactions are made, who will have more money in their account after 10 years? How much more step by step explanation please
Lori will make more than Darryl, then the after 10 years Lori will have make $27.00 more in their account.
Darryl deposits into a savings = $1,500
Account that has a simple interest rate = 2.7%.
Lori deposits into a savings = $1,400
Account that has a simple interest rate = 3.8%.
Let us assume,
\(P_{1}\) = $1,500
\(r_{1}\) = 2.7%.
\(r_{1}\) = 2.7/100
\(r_{1}\) = 0.027
After 10 years = t = 10years
The formula to calculate simple interest is,
\(A_{1}\) = \(P_{1} (1+r_{1} t)\) (Equation-1)
\(P_{1}\) = Principal amount
\(r_{1}\) = rate of interest ( in decimal )
t = time
First we calculate Darryl's deposit,
So we can substitute values in the equation-1,
\(A_{1}\) = 1,500(1 + 0.027×10)
\(A_{1}\) = 1,500 ( 1+0.27 )
\(A_{1}\) = 1,500 × 1.27
\(A_{1}\) = $1905
Now we will calculate Lori's deposit,
\(A_{2}\) = \(P_{2} (1+r_{2} t)\) (Equation-2)
\(P_{2}\) = $1,400
\(r_{2}\) = 3.8%.
\(r_{2}\) = 3.8/100
\(r_{2}\) = 0.038
So we can substitute values in the equation-2,
\(A_{2}\) = 1,400 ( 1 + 0.038 × 10 )
\(A_{2}\) = 1,400 ( 1 + 0.38 )
\(A_{2}\) = 1,400 × 1.38
\(A_{2}\) = $1,932
Darryl will make money after 10 years = $1905
Lori will make money after 10 years = $1,932
Hence,
Lori will make more than Darryl,
Then the difference will be = 1,932 - 1,905 = $27
Therefore,
After 10 years Lori will have make $27.00 more in their account.
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Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he has rolled 185 fours. Find the experimental probability of not rolling a four, based on Jimmy’s experiment. Round the answer to the nearest thousandth.
In this case, the experimental probability is D. 0.860
Why is this so?First, note that Experimental probability, also known as Empirical probability, is founded on real experiments and adequate documentation of events.
In the table we can see that he rolled the cube 1000 times, and he recorded that 140 of those times he rolled a 5.
Then, the probability of rolling a 5 will be equal to:
P1 = 140/1000 = 0.14
Now, the probabilty of NOT rolling a 5, is equal to the rest of the probabilities, this is:
P2 = 1 - 0.14 = 0.86
then the correct option is D
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Jimmy rolls a number cube multiple times and records the data in the table above. At the end of the experiment, he counts that he had rolled 140 fives. Find the experimental probability of not rolling a five, based in Jimmy’s experiment. Round the answer to the nearest thousandth.
A. 0.140
B. 0.167
C. 0.667
D. 0.860
Whats the answer hurry !!
Answer:
\(=\frac{81m^2n^5}{8}\)
Step-by-step explanation:
One is given the following expression:
\(\frac{(3m^-^1n^2)^4}{(2m^-^2n)^3}\)
Simplify, distribute the exponent outside of the parenthesis by the terms inside of it. Remember, when a value that already has an exponent is raised to another exponent, the equivalent of these two values is multiplying the exponents together. Use this property here:
\(=\frac{(3m^-^1n^2)^4}{(2m^-^2n)^3}\)
\(=\frac{3^4m^(^-^1^)^(^4^)n^(^2^)^(^4^)}{2^3m^(^-^2^)^(^3^)n^3}\)
\(=\frac{81m^-^4n^8}{8m^-^6n^3}\)
Now simplify this fraction. Keep in mind that a fraction is another way of representing the operation of division. When one wants to divide terms raised to an exponent, one must make sure that these terms have a like base. Then one will subtract the exponents from each other. Do this step with terms that have a variable base:
\(=\frac{81m^-^4n^8}{8m^-^6n^3}\)
\(=\frac{81m^(^-^4^)^-^(^-^6^)n^(^8^)^-^(^3^)}{8}\)
\(=\frac{81m^-^4^+^6n^8^-^3}{8}\)
\(=\frac{81m^2n^5}{8}\)
find the coordinates of A' after a reflection across the y-axis and then across the line y = -2. write your answer in the form (a, b).
Answer:
(3,1)
Step-by-step explanation:
When a point is reflected across the y axis, the sign of its x coordinate flips. Since point A is at (-3,-5), when it is reflected across the y axis its new position will be (3,-5). Now, point A is 3 units from the line y=-2, meaning that when it is reflected across it will be 3 units away from the other direction. (-2+(3))=1, meaning that the final coordinates of point A are (3,1). Hope this helps!
a paper bag holds 8 red crayons, 4 blue crayons, 2 yellow crayons, and 6 green crayons. if you take one crayon from the bag without looking, what is the probability of drawing a red crayon?
The probability of drawing a red crayon from the bag is 2/5 or 40%.
The probability of drawing a red crayon from the bag can be calculated by dividing the number of red crayons by the total number of crayons in the bag.
In this case, the bag contains a total of 8 red crayons, 4 blue crayons, 2 yellow crayons, and 6 green crayons.
So, the total number of crayons in the bag is 8 + 4 + 2 + 6 = 20.
The probability of drawing a red crayon can be calculated as follows:
Number of red crayons / Total number of crayons = 8 / 20
Simplifying this fraction gives us:
Probability of drawing a red crayon = 2 / 5
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the amount of food prepared for a catered event depends on the number of people attending. which variable is the explanatory variable? [1 point]
The number of people attending affects how much food is prepared for a catered event. The number of people attending is the explanatory variable in this scenario.
One kind of independent variable is an explanatory variable. Both words are frequently used interchangeably. This is the variable that changes as we change it or watch it change. In other words, it is a factor that a researcher has changed in an experiment.
In the given situation, the number of people attending is an explanatory variable and the amount of food prepared is a dependent variable. As the number of people attending increases, the amount of food prepared also increases. This means the effect of one variable alters the effect of another variable. The change of one variable is called an independent variable while the change that occurs because of the independent variable is a dependent variable.
Therefore, the required answer is the number of people attending.
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Question 3 The Schwarzschild metric is given by 2M 2M ds² -(₁-²M) di² + (1-²¹)- 1- dr² +r² (d0² + sin² 0 dó²). There are Killing vectors associated with time invariance and angular momen- tum invariance in the direction in this geometry leading to the conserved quantities e = (1-2) and l= r² sin² 0 dr From this one can derive an analog to the radial energy equation in Newtonian mechanics by orienting the coordinates so that the orbits are confined to the equatorial plane where 0 = π/2 and u = 0. One finds 2 1 dr + Veff (r) = E 2 dr (e²_ -1) where E = and Veft(r) = - + 2/²/²2 - Mp³². Further, for circular orbits one can show that M | [₁ + √/₁−12 (+1)]. r+= | 2M Finally, for circular orbits of radius R do 1/2 M dt R³ (a) Which value of r corresponds to the Schwarzschild radius of stable circular orbits: r or r? Justify your answer. [3 marks] (b) Show that for circular orbits of radius R do 1/2 M -1/2 3M (²) ¹² (1-³) dT R³ R where is the proper time. [6 marks] (c) A free particle is moving in a circular orbit around a spherical source of curvature of mass M. The Schwarzschild radius of the orbit is 8M. Use the equivalence principle to argue that the period as measured at infinity should be larger than that measured by the particle. [4 marks] (d) Find the period of the orbit as measured by an observer at infinity. Find the period of the orbit as measured by the particle. [7 marks] M
(A) Circular orbits of stable particles are possible at radii greater than three times the Schwarzschild radius for the non-rotating spherically symmetric mass.
This represents the radius of a black hole's event horizon, within which nothing can escape. The Schwarzschild radius is the event horizon radius of a black hole with mass M.
M can be calculated using the formula: r+ = 2Mwhere r+ is the radius of the event horizon.
(B) 1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ R. This is the required expression.
Tau is the proper time of the particle moving around a circular orbit. Hence, by making use of the formula given above:1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ dt.
(C) Time passes differently in different gravitational fields, and it follows that the period as measured at infinity should be larger than that measured by the particle.
The principle of equivalence can be defined as the connection between gravitational forces and the forces we observe in non-inertial frames of reference. It's basically the idea that an accelerating reference frame feels identical to a gravitational force.
(D) The period of the orbit as measured by an observer at infinity is 16π M^(1/2) and the period of the orbit as measured by the particle is 16π M^(1/2)(1 + 9/64 M²).
The period of orbit as measured by an observer at infinity can be calculated using the formula: T = 2π R³/2/√(M). Substitute the given values in the above formula: T = 2π (8M)³/2/√(M)= 16π M^(1/2).The period of the orbit as measured by the particle can be calculated using the formula: T = 2π R/√(1-3M/R).
Substitute the given values in the above formula: T = 2π (8M)/√(1-3M/(8M))= 16π M^(1/2)(1 + 9/64 M²).
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If DE = X+1, EF = x-2, DF =15, and E is
between D and F. then DE = ?
Answer:
X =8
Step-by-step explanation:
DF = DE + EF
15 = X+1 + X-2
16 = 2X
X = 8
Answer the following.(a) A certain solution has a hydrogen ion concentration of 0.00000896 moles per liter. Write this number in scientific notation.(b) A humpback whale can weigh up to 1.1 * 10^5 pounds. Write this number in standard notation.
Given:
Two statements (a) and (b) are given.
Find:
we have to write the answers of both statments (a) and (b).
Explanation:
(a) A certain solution has a hydrogen ion concentration of 0.00000896 moles per liter
The scientific notation of 0.00000896 is
\(8.96×10^{-6}\)......................................................................................................................................
(b) A humpback whale can weigh up to 1.1 * 10^5 pounds
The standard form of the given number is given as below
\(1.1\times10^5=110000\)
State the range of the following function
Answer:
Y=8x
Step-by-step explanation:
the cournot theory of oligopoly is based on the assumption that each firm believes that rivals will multiple choice increase their output whenever it increases its output. keep their output constant if it changes its output. decrease their output whenever it increases its output. randomly change output whenever it changes its output.
The cournot theory of oligopoly is based on the assumption that each firm believes that rivals will keep their output constant if it changes its output.
The Cournot theory of oligopoly is an economic model that analyzes the behavior of firms in an oligopolistic market structure. It is named after the French economist Antoine Augustin Cournot.
In the Cournot model, each firm in the market assumes that its rivals will keep their output constant if it changes its own output. This assumption is based on the idea that firms make strategic decisions regarding their production levels, taking into account the likely responses of their competitors.
Under the Cournot model, firms choose their output levels simultaneously, considering the current market conditions and their expectations of how their competitors will react. Each firm acts as a quantity-setter, determining its production quantity based on its own cost structure, market demand, and beliefs about how its rivals will behave.
The assumption that rivals will keep their output constant if one firm changes its output is a simplification used in the Cournot model. It implies that firms do not engage in immediate or aggressive reactions to changes in their competitors' output levels. Instead, they make decisions based on the expectation that their rivals' production decisions will remain unchanged.
By making these assumptions, the Cournot model allows economists to analyze the equilibrium outcomes and market shares that arise in oligopolistic markets. It provides insights into how firms' interdependent behavior affects prices, quantities, and overall market outcomes.
It is important to note that the Cournot model is a simplified representation of real-world oligopoly markets, and the actual behavior of firms may deviate from these assumptions. Nonetheless, the model serves as a useful tool for understanding strategic interactions among firms in oligopolistic industries.
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Indicate the answer choice that best completes the statement or answers the question.
PRODUCTION A manufacturer produces 950 light bulbs per day.
Days, d
1
2
3
4
Bulbs, b
950
1,900
2,850
3,800
Use the equation to determine how many bulbs the manufacturer will make in 25 days.
Oa 23,750 bulbs
Ob. 38 bulbs
Oc. 24,700 bulbs
O d. 975 bulbs
Answer:
a - 23,750 bulbs
Step-by-step explanation:
950 x 25 = 23,750
answer i guess i will give brainly for corret answers.
Answer:
B. Never
Step-by-step explanation:
When a number is irrational, it means that it cannot be written as a fraction.
I hope this helps!
pls ❤ and mark brainliest pls!
Answer:
c) when it is improper fraction
Suppose that each individual orders a main course. The waiter must remember who ordered which dish as part of the order. It's possible for more than one person to order the same dish. How many different possible orders are there for the group
The number of different possible orders for the group of n individuals who can order r different main courses is n! / r!(n - r)!. To determine how many different possible orders are there for the group, we need to use permutations.
To find the number of permutations, we need to use the permutation formula: nPr = n! / (n - r)! Where n is the total number of individuals in the group, and r is the number of dishes available. In this scenario, r will be equal to the number of different main courses that can be ordered.
Let's suppose there are n individuals in the group, and r different main courses available. Then, we can calculate the number of permutations as follows:
nPr = n! / (n - r)!
The formula for factorial n! is: n! = n × (n - 1) × (n - 2) × ... × 2 × 1
Therefore, substituting n = number of individuals in the group, and r = number of main courses available, we get:
Possible orders = nPr
= n! / (n - r)!
= n! / r!(n - r)!
Therefore, the number of different possible orders for the group of n individuals who can order r different main courses is n! / r!(n - r)!.
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1
What is the equation of the line parallel to 8x - 16y= -14 and passing through (3, 0)?
Answer:
8x -16y = 24
Step-by-step explanation:
8x - 16y= -14
A parallel line (i.e. same slope) will be: 8x - 16y= c
We have to find the value of "c".
If it passes through (x, y) = (3, 0) ⇒ 24 - 0 = c,
so equation is 8x -16y = 24
11. Identify the properties below.
a. 5 + 6 = 6 + 5
b. 7 + (3 + 9) = (7 + 9) + 3
x + 5y +3z = 4
4y – z=3
6x – 2y + 4z = 0
Answer:
x = \(\frac{1}{4}\)
y = \(\frac{3}{4}\)
z = 0
Step-by-step explanation:
You first need to solve for a variable, it won't be as easy as x = 3, you are looking to replace a variable with another equation.
For example, the second equation, 4y-z=3, I can either solve for y or z. It won't be a numerical value but it will get you a step closer.
4y-z=3
4y=z+3
y = \(\frac{z}{4} +\frac{3}{4}\)
Then you are able to use substitution to negate one of the variables and solve for the other two variables. I won't type that but I think you get the idea.
Math Journal Cameron buys 4 notebooks and 2 packages of pens for $16.
Olivia buys 5 notebooks and 1 package of pens for $14.75. Write and solve
a system of equations to find the price of each notebook and the price of
each package of pens. Tell what each variable represents and what each
equation represents.
(No links please)
Answer: A notebook cost $2.25
A pen cost $3.50
Step-by-step explanation:
Let the price of notebook be n
Let the price of pens be p.
Cameron buys 4 notebooks and 2 packages of pens for $16. This will be:
4n + 2p = 16 ..... equation i
Olivia buys 5 notebooks and 1 package of pens for $14.75. This will be:
5n + p = 14.75 ..... equation ii
Combining both equations will give us:
4n + 2p = 16 ..... i
5n + p = 14.75 ...... ii
Multiply equation i by 1
Multiply equation ii by 2
4n + 2p = 16 ....... iii
10n + 2p = 29.50 ...... iv
Subtract equation iii from iv
6n = 13.50
n = 13.50/6
n = 2.25
A notebook cost $2.25
Since 4n + 2p = 16 from equation I
4n + 2p = 16
4(2.25) + 2p = 16
9 + 2p = 16
2p = 16 - 9
2p = 7
p = 7/2
p = 3.5
A pen cost $3.50
What is the solution to this system of linear equations? x+y=30 2x-y=6
Answer:
(12, 18)
Step-by-step explanation:
Desmos Graphing Calculator will be your bestfriend! :)
32 more than a number n
Answer:
32+n
Step-by-step explanation:
32 more than the number n would be 32+n.
Hope this helps!