Answer:
-2.5
Step-by-step explanation:
Slope is y over x, so in this case -15/6. Do -15/6 to get -2.6
Answer:
Step-by-step explanation:
How is solving 2x c= d similar to solving 2x 1 = 9 for how are they different? how can you use 2x c= d to solve 2x 1 = 9? free anser
The value of x is x = 9/4. The equation 2xc = d as follows: 2xc = d2x * 1/2 = 9/22x = 9/2 * 2x = 9/4
The equation 2xc = d and 2x + 1 = 9 are similar in that they are both linear equations and involve the variable x.
However, they are different in that they have different constants and coefficients.
How to use 2xc = d to solve 2x + 1 = 9? To use 2xc = d to solve 2x + 1 = 9, you first need to rewrite 2x + 1 = 9 in the form 2xc = d.
To do this, you need to isolate x on one side of the equation. 2x + 1 = 9
Subtract 1 from both sides2x = 8. Divide both sides by 2x = 4Now, we can write 2x + 1 = 9 as 2x * 1/2 = 9/2.
Therefore, we can see that this equation is similar to 2xc = d, where c = 1/2 and d = 9/2.
We can use this relationship to solve for x in the equation 2xc = d as follows: 2xc = d2x * 1/2 = 9/22x = 9/2 * 2x = 9/4 Therefore, x = 9/4.
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2. For each function shown, answer the questions.
Part I: Given the function f(x)=3√√x-2,
A. What restriction is there on the value under the square root symbol? In
other words, what can't you do with a square root expression? (2 points)
B. What is the domain of this function? (2 points)
A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.
The types of function.In Mathematics, there are different types of functions and these include the following;
Periodic functionInverse functionModulus functionSignum functionPiece-wise defined function.For the given function f(x) = 3√(x - 2), the restriction on the value under the square root symbol is that it cannot take a negative number. This ultimately implies that, all the values under the square root symbol must be greater or equal to 0.
What is a domain?A domain can be defined as the set of all real numbers for which a particular function is defined. Thus, the domain of this function are all real numbers and these include the following:
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Find the distance between (10,6), (1,-4)
A town has 3500 families who own a car. If this represents 28% of the families in the town how many families are there in total
The number of families of the town will be 25000.
What is exponential?
The exponential is an example of a mathematical function that is useful in determining if something is increasing or decreasing exponentially is the exponential function. As implied by its name, an exponential function uses exponents. But take note that an exponential function does not have a variable as its exponent and a constant as its base (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
A town has 3500 families who own a car.
If this represents 28% of the families in the town how many families
28x/100=3500
x=350000/28
x=12500
Hence, The number of families of the town will be 25000.
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1-x⁴
is it polynomial?
25. One source of bias in self-selected samples and voluntary response samples is that the people who are likely to respond are those who:
The sample population may not be representative of the entire population, and the findings may not be generalizable to the whole population.
One source of bias in self-selected samples and voluntary response samples is that the people who are likely to respond are those who are more interested in or feel more strongly about the topic than those who do not respond.
However, not everyone would be willing to participate in a study or survey.
In self-selected samples and voluntary response samples, people who choose to participate are usually those who have a strong interest in the topic.
This can result in bias since their views may be different from those who chose not to participate.
Therefore, the sample population may not be representative of the entire population, and the findings may not be generalizable to the whole population.
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NEES ANSWER ON A TEST!!!!!
Answer:
i think its.... c
Step-by-step explanation:
Find the equation of a line that is parallel to
f(x)=3x+4
and passes through the point (2,3).
Answer:
g(x) = 3x - 3
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
If a line is parallel to another, they have the same slope.
Step 1: Define variables
m = 3
Random pt (2, 3)
y = 3x + b
Step 2: Find b
3 = 3(2) + b
3 = 6 + b
b = -3
Step 3: Write parallel linear equation
y = 3x - 3
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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X^2+12=40 what number must you add to complete the square?
Answer:
Step-by-step explanation:
1) If you really meant X^2+12=40, then this simplifies to x^2 = 28, and therefore x = ±√28, or x = ±2√7.
2) If you meant X^2+12x=40:
a) Take half of the coefficient of x: that would be (1/2)(12), or 6.
b) Square this result, obtaining: 6² = 36
c) Add this 36 to x^2 + 12x + 40, and then subtract it: We get:
x² + 12x + 36 - 36 = 40, or x² + 12x + 36 = 76
We have to add 36, as indicated above, to "complete the square."
For a fundraiser, a group plans to sell granola bars and bottles of water at the same prices as described in Part A. The group wants the income from the fundraiser to be at least $150.Choose the inequality to show the number of granola bars x and the number of bottles of water y that must be sold.A. 1.4x + 0.75 y > 150B. 1.4x + 0.75y ≥ 150C. 1.4x + 0.75 < 150D. 1.4x + 0.75 ≤ 150
Answer:
the answer is D i think
How many binary strings of length 10 are there in which the number of 0's in the string is not equal to the number of 1's in the string?
The binary strings of length 10 are there in which the number of 0's in the string is not equal to the number of 1's in the string is 2¹⁰ - 2⁹.
Binary number:
A binary number is a number expressed in the base-2 numeral system or binary numeral system, a method of mathematical expression which uses only two symbols: typically "0" and "1".
Given,
Here we need to find How many binary strings of length 10 are there in which the number of 0's in the string is not equal to the number of 1's in the string.
Here the length of the binary string is 10.
So, it can be written in the power form as 2¹⁰.
Now we need to find the number of 0's in the string is not equal to the number of 1's in the string.
For that, we have to consider,
There are 2⁹ number of binary strings are not have same number of 0's in the string is not equal to the number of 1's in the string.
So, it can be written as,
=> 2¹⁰ - 2⁹
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find the area of a 3/4 circle with a raidius of 6
Answer:
84.82275
Step-by-step explanation:
The formula for Area of a circle is
\(A=\pi r^{2} \\A=\pi 6^{2} \\A=113.097\)
That would be for the entire circle, now divide that number by .75 to get 3/4 of the circle.
84.82275
What is the squad root of 4 times the square root of 8
Answer:
1024
Step-by-step explanation:
4x4= 16
8x8= 64
sqrt4 x sqrt8
The square root of 4 is 2.
The square root of 8 is 2.83.
2x2.83=5.66
hope it helps!
In the movie drawer there are seven action movies, five comedies, and three dramas. What is the probability of choosing an action or a comedy?
The probability of choosing an action or a comedy out of seven action movies, five comedies, and three dramas is 4/5.
What is probability?
Probability defines the likelihood of occurrence of an event. There are many real-life situations in which we may have to predict the outcome of an event.
The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.
According to the given question:
In the movie drawer, there are 15 movies, seven are action movies, five comedies, and three dramas.
The probability of choosing an action movie = 7/15
While the probability of choosing a comedy movies = 5/15
The probability of choosing an action or a comedy
= (7/15+5/15)
=12/15
= 4/5
Therefore the probability of choosing an action or a comedy out of seven action movies, five comedies, and three dramas is 4/5
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Amy's fish tank has 16 liters of water in it. She plans to add 6 liters per minute until the tank has more than 88 liters. What are the possible numbers of minutes Amy could add water?
Answer:
12 minutes till 88 liters
Step-by-step explanation:
What is the area of a rectangle with a base of 7 cm and a height of 11 cm
Answer: 77
Step-by-step explanation:
What are the index of summation, the upper bound of summation, and the lower bour ∑i=29(i−8) index of summation upper bound lower bound
The given summation expression ∑i=29(i−8) has the index of summation (i), the upper bound (29), and the lower bound (unspecified).
The index of summation, denoted by the letter in the summation notation, represents the variable that takes on different values as the sum is computed.
In this case, the index of summation is "i". The upper bound specifies the last value of the index for which the summation is performed. In this case, the upper bound is 29.
However, the lower bound is not specified in the given expression. The lower bound represents the starting value of the index for which the summation begins. Without a specified lower bound, we cannot determine the full range of values over which the summation is computed.
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ANSWER QUICKLY PLS!!
Solve for x, graph the solution on the numberline.
Answer:
\(\tt 5 > 2+\cfrac{x}{3}\)
\(\tt 2+\cfrac{x}{3} < 5\)
(Subtract 2 from both sides):-
\(\tt 2+\cfrac{x}{3}-2 < 5-2\)\(\tt \cfrac{x}{3} < 3\)(Multiply both sides by 3):-
\(\tt \cfrac{3x}{3} < 3\times \:3\)\(\boxed{\underline{\tt x < 9}}\)~\(\tt -4+\cfrac{x}{5} < -4\)
(Add 4 to both sides):-
\(\tt -4+\cfrac{x}{5}+4 < -4+4\)\(\tt \cfrac{x}{5} < 0\)(Multiply both sides by 5):-
\(\tt \cfrac{5x}{5} < 0\times \:5\)\(\boxed{\underline{\tt x < 0}}\)~\(\tt 13 > 3+2x\)
(Subtract 3 from both sides):-
\(\tt 3+2x-3 < 13-3\)\(\tt 2x < 10\)(Divide both sides by 2):-
\(\tt \cfrac{2x}{2} < \cfrac{10}{2}\)\(\boxed{\underline{\tt x < 5}}\)~\(\tt -2x+4 < 10\)
(Subtract 4 from both sides):-
\(\tt -2x < 6\)(Multiply both sides both -1):-
\(\tt -2x\times-1 > 6 \times-1\)\(\tt 2x > -6\)(Divide both sides by 2):-
\(\tt \cfrac{2x}{2} > \cfrac{-6}{2}\)\(\boxed{\underline{\tt x > -3}}\)~(Look at the Attachments)
Im StUcK HeLp Me
-1 (4x + 2y)
Answer:
-4x - 2y
Step-by-step explanation:
Hope it works
Answer:
Step-by-step explanation:
−1(4x+2y)
=(−1)(4x+2y)
=(−1)(4x)+(−1)(2y)
=−4x−2y
Hope this helps u out
Gold-192 is a radioactive isotope with a half-life of 4.95 hours. How long would it take for a 25 gram sample of Gold-192 to decay until only 2 grams remain? a. about 9.1 hours b. about 31 hours c. about 18 hours d. about 61.9 hours
Answer:
Step-by-step explanation:
The formula you will need for this is:
\(A=A_0(\frac{1}{2})^{\frac{t}{H}\) where A is the amount after some decay has happened, A₀ is the intial amount, t is the time in hours, and H is the half-life in hours. Those values for us are:
A = 2 g
A₀ = 25 g
H = 4.95 hrs and
t = ?
Filling in:
\(2=25(\frac{1}{2})^{\frac{t}{4.95}\) Keep in mind that, because of the nature of the exponential form of this equation, you CANNOT simply multiply the 25 by the 1/2. Exponential equations don't work that way. Begin instead by dividing both sides by 25 to get
\(.08=(\frac{1}{2})^{\frac{t}{4.95}\) The goal is to get that t out from its exponential position. Do that by taking the natural log of both sides:
\(ln(.08)=ln(.5)^{\frac{t}{4.95}\)
After you take the natural log of the right side, the property allows you to bring the exponent down out front:
\(ln(.08)=\frac{t}{4.95}ln(.5)\)
Now divide both sides by ln(.5) to get
\(\frac{ln(.08)}{ln(.5)}=\frac{t}{4.95}\)
Simplify the left side out on your calculator to get
\(\frac{-2.525728644}{-.6931471806}=\frac{t}{4.95}\) and then divide:
\(3.643856=\frac{t}{4.95}\)
Finally, multiply both sides by 4.95 to get
3.643856(4.95) = t so
t = 18.0 hours which is choice C
An isosceles triangle has a 5 inch base and 8 inch side. What is the perimeter of the triangle
Answer:
21
Step-by-step explanation:
An isosceles triangle has 2 sides of the same length, those sides being the sides that aren't the base. The perimeter is the total length of all 3 sides of the triangle. We know that the base is 5 inches, and that one side is 8. Because the triangle is isosceles, we know that the others ide is also 8 inches. Therefore, the perimeter is 8+8+5, which is 21.
Answer:
21 in.
Step-by-step explanation:
If the triangle is isosceles, then two of its three sides are of equal length. We can assume that the side lengths are 5 in., 8 in and 8 in. Summing these up, we get total length 21 in. That's the perimeter of the triangle.
2x - 4(4x - 8) = -94 solve for x
Answer:
x =9
Step-by-step explanation:
2x - 4(4x - 8) = -94
Distribute
2x - 16x +32 = -94
Combine terms
-14x +32 = -94
Subtract 32 from each side
-14x+32-32 = -94-32
-14x =-126
Divide each side by 14
-14x/-14 = -126/-14
x =9
Answer:
9
Step-by-step explanation:
It you tip 3.75 on a bill and your tip was 20% of the bill, how much was the meal before tip?
Answer: If 3.75 is 20% of the bill then $300 is the bill
Data collected on the time it takes in seconds for 83 randomly selected passages of play in a game of rugby were collected. Those times (in seconds) are shown below. - A graph is included to but it only lets me send one picture
mean is the addition of all the times divided by the total number of times
Adding all the rugby times on the first page
\(11+1.9+24.4+\ldots+18.5+5=486.4\)Adding all the rugby times on the second page
\(14.6+8.6+\cdots+12.9+50.1=703.6\)Adding all the rugby times on the third page
\(3.6+46.8+\cdots+9.8+28.4=504\)The total times on the first page is 30
The total times on the second page is 31
The total times on the third page is 22
The mean is
\(\begin{gathered} \operatorname{mean}=\frac{486.4+703.6+504}{30+31+22} \\ \operatorname{mean}=\frac{1694}{83} \\ \operatorname{mean}=1694 \end{gathered}\)Hence, the mean is 1694sec
A bacteria colony with a population of 250,000 is given an antibiotic that kills half of the colony each day. Write the exponential
function that models this situation.
Select all expressions that are equivalent to 2( - 2x + 5) +x
1. 3x + 10
2. - 3x + 10
3. 4x + 10 + x
4. -4x + 10 + x
Answer:
2) -3x+10
4) -4x+10+x
Step-by-step explanation:
Use the distributive property to get rid of the parentheses.
(2 × -2x) + (2 × 5) + x
-4x + 10 +x is correct, but the x's can be combined.
(-4x + x) + 10 = -3x + 10
The population of Mussman, Maine is 13,500 and grows at an annual rate of 6.5%. How long will it take the population of Mussman, Maine to reach 27,000 residents?
Please specify the steps
The year it will take Mussman to reach a population of 27,000 resident is 10.7 years
What is population growth?Population growth is the increase in the number of people in a population or dispersed group.
We use exponential function when calculating increase in population per time
p(t) =p(o) e^kt
27000 = 13500 e^0.065t
e^0.065t = 27000/13500
0.065t = ln 2
0.065t = 0.693
t = 0.693/0.065
t = 10.7 years
therefore it will take 10.7years for the resident of Mussman to reach a population of 27000
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Point M is the midpoint of AB. The coordinates of point A are (−8, 2) and the coordinates of M are (−3, 2). What are the coordinates of point B?
Answer:
B is (2, 2)
Step-by-step explanation:
since the y is 2 for m and a, y is also 2 for b. -3 and -8 are 5 away from each other. so add 5 to -3 to get 2.
Solve for y in the two equations below using substitution.
3x - 9y = 9
-2x - 2y = 8
Answer:
C
Step-by-step explanation:
3x - 9y = 9 → (1)
- 2x +2y = 8 ( subtract 2y from both sides )
- 2x = - 2y + 8 ( divide through by - 2 )
x = y - 4
substitute x = y - 4 into (1)
3(y - 4) - 9y = 9
3y - 12 - 9y = 9
- 6y - 12 = 9 ( add 12 to both sides )
- 6y = 21 ( divide both sides by - 6 )
y = \(\frac{21}{-6}\) = - \(\frac{7}{2}\)