Step-by-step explanation:
To find Sara's semi-monthly salary, we need to divide her annual salary by the number of semi-monthly periods in a year.
Since there are 24 semi-monthly periods in a year (twice a month), we can divide her annual salary by 24 to get her semi-monthly salary:
$37,560 ÷ 24 = $1,565.00
Therefore, Sara's semi-monthly salary to the nearest cent is option C) $1,565.00.
PIC BELOW!! HELP HELP‼️‼️
Answer:
answer B
Step-by-step explanation:
to find the volume you need to multiply the length x width x height which is 4.2 x 3 x 7 = 88.2
Select the expressions that are equivalent to 3(2y)
Answer:
6y
Step-by-step explanation:
3(2y)
= 6y
So, the answer is 6y
verify that the function is a solution of the differential equation y=(c1 c2x)ex sinx x^2
The given function y = (c1 + c2x)ex sinx/x^2 is not a solution to the differential equation.
In order to verify whether the given function is a solution to the differential equation, we need to substitute it into the equation and check if it satisfies the equation. The given differential equation is not specified, so we cannot determine its form or the variables involved. Without the specific form of the differential equation, we cannot directly substitute the function into it and verify the solution.
To learn more about differential equations and their solutions, it is important to have the specific form of the equation and the boundary conditions or initial conditions. The solution to a differential equation depends on the form and order of the equation, as well as the specific conditions given. Without these details, it is not possible to determine if the given function is a solution. For further assistance, please provide the specific form of the differential equation and any additional conditions.
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the r-squared for multiple regression shows the variance controlled for by all the ivs in the equation as they relate to the y variable.
t
f
The r-squared in multiple regression demonstrates the proportion of variance explained by all independent variables (IVs) in the equation in relation to the dependent variable (Y).
It implies that if the R-squared value is greater, the regression model will provide a better fit of the data. On the other hand, if the R-squared value is lesser, the model will provide a poorer fit of the data.The R-squared measure determines the level of correlation between the actual values of the dependent variable and the predicted values from the regression model. The R-squared value ranges from 0 to 1, and it is represented as a percentage. It tells us how much of the variation in the dependent variable is accounted for by the independent variables.
This value is usually interpreted in terms of the percentage of the total variation in the dependent variable that is explained by the independent variables, where a value of 1.0 indicates that all the variation is accounted for by the independent variables, while a value of 0.0 indicates that none of the variation is accounted for by the independent variables.
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factorise 9a^2-b^2??
━━━━━━━☆☆━━━━━━━
▹ Answer
3² * a² - b²
▹ Step-by-Step Explanation
9a² - b²
Break down each coefficient and variable:
9 = 3²
a² = a²
b² = b²
Combine everything together:
3² * a² - b²
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer:
Since both terms are perfect squares, factor using the difference of squares formula, a^2-b^2=[a+b][a-b] where a=3a and b=b
25 x 2 − 60 x + 36 = ( A x − B ) 2 where A is and B is
The quadratic equation is factorized and the value of A and B are given as A = ±5 , B = ±6x.
Given data,
To determine the values of A and B in the quadratic equation 25x² - 60x + 36 = (Ax - B)², we need to expand the right side of the equation and compare it with the given quadratic equation.
Expanding (Ax - B)²:
(Ax - B)² = A²x² - 2ABx + B²
Comparing coefficients:
The coefficient of x² in the given quadratic equation is 25x^2.
Therefore, A² must equal 25.
The coefficient of x in the given quadratic equation is -60x.
Therefore, -2AB must equal -60x.
The constant term in the given quadratic equation is 36.
Therefore, B² must equal 36.
From the above comparisons, we can determine the values of A and B:
A² = 25
Taking the square root of both sides, we get:
A = ±5
-2AB = -60x
Since A can be positive or negative, we have two cases to consider:
Case 1: A = 5
-2(5)B = -60x
-10B = -60x
Dividing both sides by -10, we get:
B = 6x
Case 2: A = -5
-2(-5)B = -60x
10B = -60x
Dividing both sides by 10, we get:
B = -6x
Hence , the values of equation A are 5 and -5, and the corresponding values of B are 6x and -6x.
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7w + 3 + 2w + 9 simplified
The answer is 9w + 12
hope this helps!
Answer:
9w + 12
Step-by-step explanation:
First, add the 7w and the 2w
7w + 2w = 9w
Second, add 3 and 9
3 + 9 = 12
Last, add the two together
9w + 12 =
Hope this helps!
(67,38,21,89,23,36,82,11,53,77,29,17)
Search for values 29 and 30
Construct the Recursive Diagram of the Binary Search Algorithm
for each one of the values (29 and 30).
The value 30 is not present in the given data set.The given data set is: 67,38,21,89,23,36,82,11,53,77,29,17
In order to search for the values 29 and 30 in the data set using binary search algorithm, the given data set should be sorted in ascending order.
Arranging the given data set in ascending order, we get11, 17, 21, 23, 29, 36, 38, 53, 67, 77, 82, 89
a) Search for value 29 Binary search algorithm for the value 29:
Step 1: Set L to 0 and R to n - 1, where L is the left index, R is the right index, and n is the number of elements in the data set.
Step 2: If L > R, then 29 is not present in the data set. Go to Step 7.
Step 3: Set mid to the value of ⌊(L + R) / 2⌋.Step 4: If x is equal to the value at index mid, then return mid as the index of the element being searched for.
Step 5: If x is less than the value at index mid, then set R to mid - 1 and go to Step 2. This sets a new right index that is one less than the current mid index.
Step 6: If x is greater than the value at index mid, then set L to mid + 1 and go to Step 2. This sets a new left index that is one more than the current mid index.
Step 7: Stop. The algorithm has searched the entire data set and 29 was not found in the given data set. The recursion diagram for the binary search algorithm for the value 29 is:We can see that the binary search algorithm for the value 29 has terminated in the fifth iteration.
Thus, the value 29 is present in the given data set.b) Search for value 30Binary search algorithm for the value 30:
Step 1: Set L to 0 and R to n - 1, where L is the left index, R is the right index, and n is the number of elements in the data set.
Step 2: If L > R, then 30 is not present in the data set. Go to Step 7.
Step 3: Set mid to the value of ⌊(L + R) / 2⌋.
Step 4: If x is equal to the value at index mid, then return mid as the index of the element being searched for.
Step 5: If x is less than the value at index mid, then set R to mid - 1 and go to Step 2. This sets a new right index that is one less than the current mid index.
Step 6: If x is greater than the value at index mid, then set L to mid + 1 and go to Step 2. This sets a new left index that is one more than the current mid index.
Step 7: Stop. The algorithm has searched the entire data set and 30 was not found in the given data set. The recursion diagram for the binary search algorithm for the value 30 is:
We can see that the binary search algorithm for the value 30 has terminated in the fifth iteration.
Thus, the value 30 is not present in the given data set.
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HELPPPP PLSSSSSSSSSSSSSSSS
Answer:
x = 10
Step-by-step explanation:
9x + 9 = 8x + 19
9x - 8x = 19 -9
x =10
Answer:
10
Step-by-step explanation:
Angles are alternate exterior and congruent
9x + 9 = 8x + 19
9x - 8x = 19 - 9
x = 10
Lester bought 6.3 pounds of bologna at the deli. Renee bought 2.1 pounds of bologna.how much times more bologna did Lester buy than Renee
Answer:
4.2
Step-by-step explanation:
6.3 - 2.1 = 4.2
The data below shows the number of hermit crabs that live in each of the nine terrariums that Sunipa owns.
Using this data, create a frequency table.
Number of hermit crabs Number of terrariums
3
4
5
Answer:
4 for 3, 4 for 5, and 1 for 4
Step-by-step explanation:
khan academy
Answer:
3-4
4-1
5-4
Step-by-step explanation:
Count how many number there are and put them in the table.
You and your friend spent a total of $15.00 for lunch. Your friend’s lunch cost $3.00 more than yours did. How much did you spend for lunch?
Answer:
Step-by-step explanation:
Your total spent is $15
Your friend spent $3 more than you, this is represented by 3+x.
You spent an unknown amount of money, this is represented by x.
So, your equation is 15=3+x+x.
This becomes 15=3+2x.
You then subtract 3 to the other side to get.
12=2x
Then divide 12 by 2, in order to leave variable "x" by itself.
6=x is the amount you spent on lunch.
Your friend spent $3 more so add $3 to the amount you spent to get...
$9 spent by your friend.
You=$6
Friend=$9
Total=$15
To prove the solution is correct, plug 6 in for x.
15=3+2(6)
15=3+12
15=15 thus proving the solution is correct.
Find the length of the segment indicated. Round your answer to the nearest 10th of necessary.
Answer:
Step-by-step explanation:
Just using pythagorean theorem,
13.2²+16.9²=c²
174.24+285.61=c²
c²=√459.85
c= 21.4441134114
c = 21.4 (nearest tenth)
Find the focus of the parabola y^2=20x
Answer:
focus is (-5, 0)
Step-by-step explanation:
\( {y}^{2} = 4ax \\ 4a = 20 \\ a = 5\)
4x/x+3 + 3/x-4 = 5
Choose the possible extraneous roots. Select one or more:
a. 4 b. 0
c. -3 d. -13.21
e. 9.22
a. 4 is an extraneous root. , b. 0 is an extraneous root. , c. -3 is an extraneous root. , d. -13.21 is an extraneous root. , e. 9.22 is an extraneous root.
To solve the equation, we can begin by finding a common denominator for the fractions on the left-hand side. The common denominator is (x + 3)(x - 4). We can then rewrite the equation as follows:
[4x(x - 4) + 3(x + 3)] / [(x + 3)(x - 4)] = 5
Expanding and simplifying the numerator, we have:
[4x^2 - 16x + 3x + 9] / [(x + 3)(x - 4)] = 5
Combining like terms, we obtain:
(4x^2 - 13x + 9) / [(x + 3)(x - 4)] = 5
To eliminate the fraction, we can cross-multiply:
4x^2 - 13x + 9 = 5[(x + 3)(x - 4)]
Expanding the right-hand side, we get:
4x^2 - 13x + 9 = 5(x^2 - x - 12)
Simplifying further:
4x^2 - 13x + 9 = 5x^2 - 5x - 60
Rearranging the equation and setting it equal to zero, we have:
x^2 - 8x - 69 = 0
To solve this quadratic equation, we can factor or use the quadratic formula. Factoring the equation may not yield rational roots, so we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
For the equation x^2 - 8x - 69 = 0, we have a = 1, b = -8, and c = -69. Substituting these values into the quadratic formula, we get:
x = (-(-8) ± √((-8)^2 - 4(1)(-69))) / (2(1))
= (8 ± √(64 + 276)) / 2
= (8 ± √340) / 2
= (8 ± 2√85) / 2
= 4 ± √85
So, the possible solutions for x are x = 4 + √85 and x = 4 - √85.
Now, let's check which of the given options (a, b, c, d, e) are extraneous roots by substituting them into the original equation:
a. 4: Substitute x = 4 into the equation: 4(4)/(4 + 3) + 3/(4 - 4) = 5. This results in a division by zero, which is undefined. Therefore, 4 is an extraneous root.
b. 0: Substitute x = 0 into the equation: 4(0)/(0 + 3) + 3/(0 - 4) = 5. This also results in a division by zero, which is undefined. Therefore, 0 is an extraneous root.
c. -3: Substitute x = -3 into the equation: 4(-3)/(-3 + 3) + 3/(-3 - 4) = 5. Again, we have a division by zero, which is undefined. Therefore, -3 is an extraneous root.
d. -13.21: Substitute x = -13.21 into the equation and evaluate both sides. If the equation does not hold true, -13.21 is an extraneous root.
e. 9.22: Substitute x = 9.22 into the equation and evaluate both sides. If the equation does not hold true, 9.22 is an extraneous root.
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You bake a batch of muffins. You freeze 6 muffins and share the rest equally among yourself and 2 friends. Write an expression that can be used to determine the number of muffins,m, each friend gets
Answer:
\(m=\displaystyle \frac{t-6}{3}\)
Step-by-step explanation:
Hi there!
Let t equal the total number of muffins.
\(t-6\) ⇒ This represents freezing the 6 muffins
\(\displaystyle \frac{t-6}{3}\) ⇒ This represents sharing the remaining muffins among 3 people
Therefore, the expression would be \(\displaystyle \frac{t-6}{3}\).
If you would like to change this into an equation, it would be \(m=\displaystyle \frac{t-6}{3}\), where m is the number of muffins that each person gets.
I hope this helps!
Brian has reduced his cholesterol level by 6% by following a strict diet and regular exercise. If his original level was 280, what is his approximate cholesterol level now?A. 297B. 17C. 278D. 263
SOLUTION:
Step 1:
In this question, we are given the following:
Brian has reduced his cholesterol level by 6% by following a strict diet and regular exercise.
This means that the remaining level will be ( 100 - 6 ) % = 94%
Step 2:
If his original level was 280,
Then, the approximate cholesterol level now will be:
\(\begin{gathered} 94\text{ \% of 280} \\ =\frac{94}{100}\text{ X 280} \\ =\text{ }\frac{26,320}{100} \\ =\text{ 263.2} \\ \approx\text{ 263 } \end{gathered}\)CONCLUSION:
The final answer is:
\(263\text{ -- OPTION D}\)what is the length,s, of the square?
Answer: 9
Step-by-step explanation:
9x9=81
Answer:
not a 100% hopefully it right. 20.25m
Step-by-step explanation:
81÷4=20.25
What is the y intercept of the following \(f(x) = 2 \times {3}^{x} \)
Given
The function,
\(f(x) = 2 \times {3}^{x} \)To find:
The y-intercept.
Explanation:
It is given that,
\(f(x) = 2 \times {3}^{x} \)Then, set x=0.
That implies,
\(\begin{gathered} f(0)=2\times3^0 \\ =2\times1 \\ =2 \end{gathered}\)Hence, the y-intercept is at (0,2).
what is the cost of buying several pants ag 32.95 per pair?
Answer:
C = $32.95p
Step-by-step explanation:
Hello!
If every pair of pants costs $32.95, then we can multiply the number of pants by the cost per pair.
Let "p" be the number of pants, and "C" be the total price
Given that the cost per pant is $32.95:
C = $32.95pThat is the equation to solve for the cost.
Or watch a video leroy is a citizen scientist for a monarch butterfly project. every week, he visits a local patch of milkweed and counts the number of monarch larvae on the plants. last week, leroy didn't count many larvae. this week, he counts 29 larvae on the milkweed. for both weeks, leroy's total count is 41 larvae.
Leroy's count for last week is 21 larvae.
Define subtractionThe process of determining the difference between two integers is called subtraction, which is a fundamental arithmetic operation and is represented by the symbol (-). To determine the difference between two numbers, perform the subtraction process. When you remove a few items from a group of things, the group gets smaller.
Given, total count for both week is 41 larvae
Count for this week is 29 larvae.
Now, find the count for last week,
count = 41 - 29
= 12
Therefore, Leroy's count for last week is 12 larvae.
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The complete question is:
Leroy is a citizen scientist for a monarch butterfly project. Every week, he visits a local patch of milkweed and counts the number of monarch larvae on the plants. Last week, Leroy didn't count many larvae. This week, he counts 29 larvae on the milkweed. For both weeks, Leroy's total count is 41 larvae. Find Leroy's count for last week.
in your research on the population dynamics of rabbits, you estimate that the population in a given area is 2600. over the course of 4 years, you record 200 births and 465 deaths in the population. a) determine the growth constant k for this population. (assuming a continuous exponential model for growth (p(t)
The growth constant k for this population is 0.0527289.
The exponential growth model is a mathematical formula that describes population growth. It is typically used to calculate the number of organisms in a population over time. The formula for exponential growth is as follows:
\($$p(t) = p_0e^{rt}$$\)
where p(t) is the population size at time t, p0 is the initial population size, e is Euler's number (approximately 2.718), r is the growth rate, and t is time in years.
\(r: $$r = \frac{ln(\frac{p(t)}{p_0})}{t}$$$$p_0 = 2600$$$$t = 4$$$$p(t) = p_0e^{rt} = 2600e^{4r}$$$$\frac{d p(t)}{d t} = \frac{d}{d t}(2600e^{4r}) = 10400re^{4r}$$$$\frac{d p(t)}{d t} = b - d = 200 - 465 = -265$$$$\frac{d p(t)}{d t} = rp(t)$$$$\implies rp(t) = -265$$$$\implies r(2600e^{4r}) = -265$$$$\implies r = \frac{-265}{2600e^{4r}}$$\)
To solve this equation, we will use the Newton-Raphson method, which involves repeatedly approximating the root of a function using a linear approximation.
Start by choosing an initial value for r, and then use the following formula to get a better approximation of the root:
\($$r_{i+1} = r_i - \frac{f(r_i)}{f'(r_i)}$$\)
where i is the current iteration, f(r) is the function we want to find the root of, and f'(r) is the derivative of f(r).
\(f(r) = r(2600e^{4r}) + 265 and f'(r) = 2600e^{4r} + 4r(2600e^{4r}). We will use an initial guess of r = 0.01.$$r_1 = 0.01 - \frac{0.01(2600e^{0.04}) + 265}{2600e^{0.04} + 4(0.01)(2600e^{0.04})} = -0.00333428$$$$r_2 = -0.00333428 - \frac{-0.00333428(2600e^{-0.013337}) + 265}{2600e^{-0.013337} + 4(-0.00333428)(2600e^{-0.013337})} = 0.0527289$$\)
Therefore, the growth constant k is 0.0527289.
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Someone please help! I’ll give brainliest!!
Answer:
120m3
Step-by-step explanation:
V=4/3 x π x r³
= 4/3 x 3.14 x 3.1³
≈ 120 (nearest tenth)
The student did this problem wrong, explain what is wrong and fix their mistake to give me the correct answer.
Please help me haha
Answer:
GK parallel to HJ
F is the midpoint
GF =FJ (bisectors)
Answer:
haha
Step-by-step explanation:
Giving Brainliest Answer to whoever answers first! (I need it answered ASAP!!!)
Write a real-life story that models the following equation;
y=1/2x + 4 y= -2x +14
(Solve by Graphing)
I already know the answer to that problem, it's (4,6) if that helps, but I just need a story.
Thank You!
The real-life story that models the system of equations is shown below
Writing a real-life story for the equationsFrom the question, we have the following system of equations that can be used in our computation:
y = 1/2x + 4
y = -2x + 14
There are several real life stories we can use
One of them is as follows
Ridwan has $4 in his savings account and saves 50 cents every week. Lanre has $14 in his savings accounts and withdraws $2 every week.
Calculate the number of weeks where both would have the same amount in their accounts
The graph of the scenario is attached and the solution is (4, 6)
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A thick cylindrical shell with inner radius of 10 cm and outer radius of 16 cm is subjected to an internal pressure of 70MPa. Find the maximum and minimum hoop stresses.
The cylindrical shell is subjected to an internal pressure of 70MPa. The shell's inner radius is 10 cm, and the outer radius is 16 cm. The maximum and minimum hoop stresses in the cylindrical shell are determined below.
For an element of thickness dr at a distance r from the center, the hoop stress is given by equation i:
σθ = pdθ...[i]Where, p is the internal pressure.
The thickness of the shell is drThe circumference of the shell is 2πr.
Therefore, the force acting on the element is given by:F = σθ(2πrdr)....[ii]
Let σmax be the maximum stress in the shell. The stress at radius r = a, which is at the maximum stress, is given by:σmax = pa/b....[iii]
Here a = radius of the shell, and b = thickness of the shell.
According to equation [i], the hoop stress at radius r = a is given by:σmax = pa/b....[iii].
Substitute the given values:σmax = 70 × 10^6 × (16 - 10)/(2 × 10) = 56 × 10^6 Pa.
The minimum hoop stress in the shell occurs at the inner surface of the shell. Let σmin be the minimum stress in the shell.σmin = pi/b....[iv].
According to equation [i], the hoop stress at radius r = b is given by:σmin = pi/b....[iv]Substitute the given values:
σmin = 70 × 10^6 × 10/(2 × 10) = 35 × 10^6 Pa.
Therefore, the maximum hoop stress in the shell is 56 × 10^6 Pa and the minimum hoop stress is 35 × 10^6 Pa.
A thick cylindrical shell with an inner radius of 10 cm and an outer radius of 16 cm is subjected to an internal pressure of 70MPa. Maximum and minimum hoop stresses in the cylindrical shell can be determined using equations and the given data. σθ = pdθ is the formula for hoop stress in the cylindrical shell.
This formula calculates the hoop stress for an element of thickness dr at a distance r from the center.
For the cylindrical shell in question, the force acting on the element is F = σθ(2πrdr).
Let σmax be the maximum stress in the shell. According to equation [iii], the stress at the radius r = a, which is the maximum stress, is σmax = pa/b.σmax is calculated by substituting the given values.
The maximum hoop stress in the shell is 56 × 10^6 Pa according to this equation.
Similarly, σmin = pi/b is the formula for minimum hoop stress in the shell, which occurs at the inner surface of the shell.
The minimum hoop stress is obtained by substituting the given values into equation [iv].
The minimum hoop stress in the shell is 35 × 10^6 Pa.As a result, the maximum and minimum hoop stresses in the cylindrical shell are 56 × 10^6 Pa and 35 × 10^6 Pa, respectively.
Thus, the maximum hoop stress in the shell is 56 × 10^6 Pa and the minimum hoop stress is 35 × 10^6 Pa. These results are obtained using equations and given data.
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Rolling a 6-sided die and counting the number of each outcome that occurs is a binomial random variable. True or False? Which option gives the most accurate response?
Given that you roll a 6-sided die and you count the number of each outcome, you need to remember that when you roll a 6-sided die, the probability of occurrence of each outcome is:
\(P=\frac{1}{6}\)It does not matter how many times you roll the die, the probability will always be the same from one roll to another. This means that each roll is independent because the probability of the first roll does not affect the probability of the second one, due the die will always have the same number of faces.
Therefore, you can conclude that it is a binomial random variable.
Hence, the answer is: Option A.
8) 120 balloons are filled with gas at the rate of 0.6 gallons per minute. How much time it takes to fill all balloons if the volume of one balloon is 1.2 gallons?
Answer:
240 Minutes
Step-by-step explanation:
0.6 per minute × 2 = 1.2 gallons .
120 balloons × 2 mins= 240 mins
A new brewery is setting up its production facilities. It takes
6 weeks to brew a particular lager. If the brewery anticipates
serving 200 pints of this lager a day, how big of a vessel will the
brewe
It takes 6 weeks to brew a particular lager and the brewery anticipates serving 200 pints of this lager a day. To find: How big of a vessel will the brewery require? Solution: The brewery anticipates serving 200 pints of lager per day. It takes 6 weeks to brew a particular lager.
There are 7 days in a week. So, the total number of days required to brew the lager= 6 x 7= 42 days. It is given that the brewery anticipates serving 200 pints of lager per day. So, the total number of pints that the brewery will require to serve 200 pints per day for 42 days= 200 x 42= 8400 pints.1 gallon= 8 pints Therefore, 8400 pints= 8400/8 gallons= 1050 gallons. Hence, the brewery requires a vessel of 1050 gallons. Answer: 1050.
It was a definite and specific offer that could be accepted by anyone who met the requirements. It is an example of a unilateral offer since it was an open offer, anyone who agreed to the terms of the contract could have accepted it. Furthermore, it was a clear and unambiguous offer since it did not require any more clarification. Shawna and Beatrice, by virtue of their status as the offerees, had the option of accepting or rejecting the offer. The acceptance must meet the requirements of a valid contract. The acceptance must be communicated clearly and immediately. In addition, the acceptance must conform to the offer's terms. In Hyde v Wrench (1840), the court held that an acceptance must be unconditional and absolute and that if the acceptance is not in line with the terms of the offer, it is a counteroffer that terminates the original offer. Since Shawna and Beatrice had not yet responded to the offer, there was no acceptance of the contract. Therefore, there was no legal agreement between the parties as a contract must have both an offer and an acceptance in order to be considered valid.
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Someone please help me with this it’s Algebra
Answer:
D. a shift to the right
Step-by-step explanation:
As my teacher use to say, you run the opposite way of your crazy ex. So, if the number is negative, it moves to the right. If it's positive, it moves to the left. If it's a power, it goes up or down.
// have a great day //
Answer:
D, shift to the right
Step- by-step explanation:
When equations or functions have numbers that are subtracting it's shifted to the right
When they are adding they are shifted to the left
Hope this helps!