Answer:
Step-by-step explanation:
|x|= 9 is a solution. The range of the absolute value function is [0, infinity).
-|x|=9 not a solution. No absolute value function will return a negative result.
-|-x|=9 not a solution. -(x) = 9 is not true for x = 9.
-|-x|=-9 solution. -9 = -9 is true.
So can y’all help me please this is due at 5pm
Answer:
Variable terms: 4a and 6a
Constant terms: 4 and 11
Step-by-step explanation:
A constant term is one that is NOT multiplied by any variables.
At this level of math, think of constants as terms that are only numbers.
(for example: 1, 68.9, -42, etc.)
Note that a term in « a + bi » form can also be a constant.
A variable term is a one that IS multiplied by a variable.
(for example x, -3y, 8z, etc.)
In question 1, the variable terms are:
4a and 6a because they are multiplied by the variable a
The constant terms are:
4 and 11 because they are simply integers
Note that the constant terms could also be written as -4 and -11 depending on how the operations are viewed (subtracting vs adding a negative)
Find 2/5 divided 1/8 simplest form
Answer: 3.2
Step-by-step explanation: (2/5)/(1/8)=(2/5)*8= 16/5=3 1/5=3.2
True or false? In a two-column proof, the left column states your reasons.
A. True
B. False
A. True.
In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.
The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).
Explanation:The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.
A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.
For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.
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Adirondack Savings Bank (ASB) has $5 million in new funds that must be allocated to home loans, personal loans, and automobile loans. The annual rates of return for the three types of loans are 7% for home loans, 12% for personal loans, and 9% for automobile loans. The bank's planning committee has decided that at least 40% of the new funds must be allocated to home loans. In addition, the planning committee has specified that the amount allocated to personal loans cannot exceed 60% of the amount allocated to automobile loans.(a) Formulate a linear programming model that can be used to determine the amount of funds ASB should allocate to each type of loan to maximize the total annual return for the new funds.(b) How much (in dollars) should be allocated to each type of loan? 1) What is the total annual return (in dollars)?2) What is the annual percentage return?
What’s the range of this graph?
A) all real numbers
B) all real numbers greater than or equal to 0
C) all real numbers greater than or equal to 1
D) all real numbers greater than or equal to 2
Option d is the correct answer. All real numbers are greater than or equal to 2.
What are domain and range?Domain of a function--The domain of the function is the set or collection of all the x-values for which the function is well defined.
Range of a function--The range of a function is the set of all the values which are attained by a function in its defined domain.
By looking at the graph we observe that the function is continuously increasing and the function takes all the real values greater than as well as equal to 2( since there is a closed circle at (1,2). Hence, the range is: [2,∞).
Thus Option d is the correct answer. All real numbers are greater than or equal to 2.
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can someone please help
Answer:
The measure of CD is 46
Step-by-step explanation:
From the midpoint theorem, we have,
FG = (1/2)CD
so,
\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)
Now,
\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)
Jaxon was taking his boat out around the lake. The boat is able to drive for 18 minutes for every gallon of gas. Jaxon has 8 gallons of gas in his boat so he bought another 12 gallons. How long can the boat run for now? (In minutes)
Answer:
hi
Step-by-step explanation:
i dot no because i dot spak in english because im frach
help me pleaseee...
Increase 2,400 by 5%
Increasing 2400 by 5% gives us 2520
we can increase the value by using the formula:
\(initial value+ percentage increase *initial value\) = increased percentage
in the aforementioned question we have
initial value = 2400
percentage increase = 5%
thus we can find out the increased percentage by:
2400 + 2400 X (5/100)
=2400 + 120
=2520
the value by which 2400 is increased is 120
to arrive at the increased value which is 2520
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100 pts!!
Thanh rents a car. He has a fixed rate of $49.00 weekly, pays $14.00 per week for the optional insurance, and he spends $12.00 weekly on gas. What will Thanh's cost be per month (four weeks)?
Thanh's cost per month (four weeks) will be $300.00.The given fixed rate for Thanh is $49.00 per week. Thanh also pays $14.00 per week for the optional insurance and $12.00 weekly on gas.
To find Thanh's cost per month (four weeks), we need to multiply his weekly cost by 4.We can use the formula below to calculate Thanh's monthly cost.
Total weekly cost = Fixed rate + Insurance cost + Gas cost
Total weekly cost = $49.00 + $14.00 + $12.00
Total weekly cost = $75.00
The cost for Thanh per month (four weeks) = Total weekly cost × 4
Cost for Thanh per month (four weeks) = $75.00 × 4
Cost for Thanh per month (four weeks) = $300.00
Therefore, Thanh's cost per month (four weeks) will be $300.00.
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How can I factor the following expression by grouping:
a) 4x^3 - 2x^2 + 8x - 4
The factored expression of 4x³ - 2x² + 8x - 4 is (2x² + 4)(2x - 1) by grouping
How to factor the expression by groupingFrom the question, we have the following parameters that can be used in our computation:
4x³ - 2x² + 8x - 4
Group the expression in 2's
So, we have
(4x³ - 2x²) + (8x - 4)
Factorize each group
2x²(2x - 1) + 4(2x - 1)
So, we have
(2x² + 4)(2x - 1)
Hence, the factored expression is (2x² + 4)(2x - 1)
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Suppose there is a simple index of two stocks, stock A and stock B. Stock A opens on Monday with 5000 shares at $2.75 per share. Stock B opens on Monday with 3000 shares at $4.30 per share. Stock A opens on Tuesday at $3.10 per share, and stock B opens on Tuesday at $4.85 per share. Both stocks have the same number of shares that they opened with on Monday. What is the rate of change of this simple index over 1 day?
The rate of change of the simple index over one day is approximately 12.78%.
To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.
On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:
Total value of Stock A on Monday = 5000 * $2.75 = $13,750
Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:
Total value of Stock B on Monday = 3000 * $4.30 = $12,900
The total value of the index on Monday is the sum of the values of Stock A and Stock B:
Total value of the index on Monday = $13,750 + $12,900 = $26,650
On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.
The total value of Stock A on Tuesday is:
Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500
The total value of Stock B on Tuesday is:
Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550
The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:
Total value of the index on Tuesday = $15,500 + $14,550 = $30,050
To calculate the percent change in the index, we use the formula:
Percent Change = ((New Value - Old Value) / Old Value) * 100
Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%
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Please help me for 15 points
You want to survey people about their favorite types of art. Which is the better place to get a random sample?
A) outside an art museum
B) in the modern art section of an art museum
Answer:
B) in the modern art section of an art museum
Step-by-step explanation:
Hope it helps! =D
Solve the equation.
C +9 = 3.7
Answer:
C= -5.3
Hope this helps!
Brainliest?
Answer:
C = -5.3
Step-by-step explanation:
C+9=3.7
Subtract 9 from both sides
C+9-9=3.7-9
Simplify
C = -5.3
please help
Question: 6b = 18
Answer: ?
Answer:
6b=18
b=18/6
b=3
.
.
.
.
.
.
Answer:
6b=18
b=18/6
b=3
.
Step-by-step explanation:
Zachary purchased a computer for $1,800 on a payment plan. Three months after he purchased the computer, his balance was $1,440. Six months after he purchased the computer, his balance was $1,080. What is an equation that models the balance y after × months?
The equation __________ models the balance y after x months.
(Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation. Do not include the $ symbol in your answer.)
Answer:
Equation: y = 1800 - 120x
Step-by-step explanation:
y = 1800 - mx Where x = months after purchase of computer
y = balance remaining
1800 = y-intercept because this is your initial balance remaining as it is the actual price of the computer.
The coefficient of ‘m’ will be negative for this equation because the value of y decreases as x increases. (NOTE: y is NOT indirectly proportional to x as the line of the equation does not pass through the origin)
Next step is to determine 'm’:
m = slope of equation
Two sets of x and y values have been provided:
\((x_{2}, y_{2}) = (3, 1440)\)
\((x_{3} ,y_{3})= (6, 1080)\)
Use any set and substitute in the slope-intercept equation to determine the value of m:
1080 = 1800 - 6m
All the like terms are brought together and m needs to be isolated:
6m = 1800 - 1080
6m = 720
m = \(\frac{720}{6}\)
m = 120
Therefore:
y = 1800 - 120x
15. Many people swimming in a pool experience pain in their ears if they dive to the
bottom. Why is this?
A. Pressure increases as the depth of the water column above them increases.
B. The area of the pool is wider where it's deeper.
C. Pressure decreases as the depth of the water column above them increases.
D. The vapor pressure at the surface is removed.
Answer:
The answer is Ahope this helps
what are the coordinates of each point after quadrillateral MNPQ is trans;ated 2units right and 5 units down
The coordinates of each point after the quadrilateral MNPQ is translated 2 units right and 5 units down are:
M' = (x1 + 2, y1 - 5)
N' = (x2 + 2, y2 - 5)
P' = (x3 + 2, y3 - 5)
Q' = (x4 + 2, y4 - 5)
How to calculate the coordinates?To calculate the coordinates, we shall assume that the coordinates of the points of the quadrilateral MNPQ are:
M = (x1, y1)
N = (x2, y2)
P = (x3, y3)
Q = (x4, y4)
Next, we translate the quadrilateral 2 units right and 5 units down by adding 2 to the x-coordinate and subtracting 5 from the y-coordinate of each point.
The new coordinates of the points after the translation will be:
M' = (x1 + 2, y1 - 5)
N' = (x2 + 2, y2 - 5)
P' = (x3 + 2, y3 - 5)
Q' = (x4 + 2, y4 - 5)
Therefore, the coordinates of each point after the quadrilateral is translated 2 units right and 5 units down are:
M' = (x1 + 2, y1 - 5)
N' = (x2 + 2, y2 - 5)
P' = (x3 + 2, y3 - 5)
Q' = (x4 + 2, y4 - 5)
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Question completion:
Although part of your question is missing, you might be referring to the below question:
What are the coordinates of each point after quadrilateral MNPQ is translated 2 units right and 5 units down?
Faez bought a box of cheese tart from bakery shop for his family tea time. Diagram 12 shows the top view of a cuboid-shaped box that can hold 12 round- shaped of cheese tart with the same size.
Calculate the perimeter, in cm, of the space that is not filled with cheese tart.
The Perimeter of the space that is not filled with cheese tart is 44 cm.
What is perimeter?Perimeter is the total length of the boundary that surrounds a two-dimensional shape, such as a square or rectangle. It is measured in linear units, such as inches, feet, or meters. The perimeter of a shape can be calculated by adding up the lengths of each of its sides. Perimeter is also used to calculate the area of a two-dimensional shape. The area of a shape can be calculated by multiplying its perimeter by its width. Perimeter is an important concept in mathematics and is used to solve a variety of problems related to area and volume. It is also an important tool for measuring the size and shape of objects, such as in architecture, engineering, and construction.To learn more about perimeter refer to:
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2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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Consider the equation 4x=8.
Which value could be substituted x to make the equation TRUE?
Answer:
2
Step-by-step explanation:
4 times 2 is 8
The lengths of a particular snake are approximately normally distributed with a given mean Mu = 15 in. and standard deviation Sigma = 0.8 in. What percentage of the snakes are longer than 16.6 in.? 0.3% 2.5% 3.5% 5%
Using the normal distribution, it is found that 2.5% of the snakes are longer than 16.6 in.
Normal Probability DistributionIn a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, the mean and the standard deviation are respectively, given by \(\mu = 15, \sigma = 0.8\).
The proportion of the snakes are longer than 16.6 in is 1 subtracted by the p-value of Z when X = 16.6, hence:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{16.6 - 15}{0.8}\)
\(Z = 2\)
\(Z = 2\) has a p-value of 0.975.
1 - 0.975 = 0.025 = 2.5% of the snakes are longer than 16.6 in.
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Answer:
D - 5%
Explanation:
PLEASE HELP ME
The function f(x) = -2(4)^x+1 +140
represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
PLEASE SEE PHOTO FOR FUNCTION
The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).
The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.
To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.
For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.
Therefore, the practical domain of the situation is x ≥ 0.
For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.
Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.
Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).
To summarize:
- The practical domain of the situation is x ≥ 0.
- The practical range of the situation is [140, ∞).
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(a)Charmaine pumped 60 gallons of water out of her pool. This was done over a period of 10 minutes at a constant rate. What was the change in the amount of water in the pool each minute?
We have the next information
60 gallons - 10 minutes
x gallons - 1 minute
x is the number of gallons per minutes, in order to find that we need to divide 60 between 10
\(x=\frac{60}{10}=6\)6 gallons per minute
Tim and Steve are brother. Their mom Lisa gives
them each a weekly allowance. Since Steve is older
than Tim so he gets $5 more than Tim. Write an
expression for how much money Lisa needs to give
Tim and Steve??
anyone
Answer:
5 for Tim and 10 for Steve?
Step-by-step explanation:
you didn't give a amount of how much they should get if they were the same age
Which of the following lines is perpendicular to the line y=7/8x-2?
Group of answer choices
y=-8/7x+4
y=-7/8x+9
y=7/8x+1/2
y=8/7x-6
Answer:
Standard form for straight line y = m x + b where m is slope
m' = -m or m * m' = -1
answer a or y = - 8/7 + 4 satisfies this requirement
Solve the following inequality:
Answer:
\(r \geqslant - 16\)
Step-by-step explanation:
\( \frac{ - 10 + r}{2} \geqslant - 13\)
multiply both sides by 2:
\( - 10 + r \geqslant - 26\)
add 10 on both sides:
\(r \geqslant - 16\)
Answer:
\(r \ge -16\)
Step-by-step explanation:
To solve any equation/inequality:
1. get the variable to show up exactly once
2. isolate it
\(\frac{-10+r}{2} \ge -13\)
Multiply both sides by 2 and simplify (note that we're multiplying by a positive, not a negative, so the direction of the inequality stays the same, whereas multiplying or dividing by a negative would have changed the direction of the inequality)
\(\frac{-10+r}{2} *2 \ge -13 *2\)
\(-10+r \ge -26\)
Add 10 to both sides, and simplify
\((-10+r)+10 \ge (-26)+10\)
\(r \ge -16\)
Points A and B are on opposite sides of a lake. Another point, C. is 94.4 meters from Angle A. The measure of Angle A is 72° and the measure of Angle C is 30°. Find the distance between A and B.
To find the distance between points A and B, we can use trigonometry and the given information.
Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.
Using trigonometry, we can use the tangent function to find the value of "d".
tan(72°) = d / 94.4
To solve for "d", we can rearrange the equation:
d = tan(72°) * 94.4
Using a calculator, we can evaluate the expression:
d ≈ 4.345 * 94.4
d ≈ 408.932
Therefore, the distance between points A and B is approximately 408.932 meters.