Answer:
B is the only one i know, sorry.
Step-by-step explanation:
Hope this helped
Rewrite x^2 − 2x − 3 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.
a = 4 and b = 3
a = 3 and b = 2
a = 2 and b = 1
a = 1 and b = 4
Find the slope between (4,-8) and (-1,3).
Answer:
7
Step-by-step explanation:
(4, -8) and (-1, 3), formula used will be \(y_{1}-y_{2}\)/\(x_{1} -x_{2}\) so:
-1 - (-8)/3 - 4 = -1 + 8/1 = 7/1 = 7
i edited my answer a few times cause i read the points wrongly so just know that this is the correct one.
y + 2 = 2/3 (x - 4)
Slope
Answer: Y = 2/3x - 14/3
Answer:
2/3
Step-by-step explanation:
y+2=2/3 (x-4)
1. multiply parentheses (y+2=2/3x-8/3
2. subtract 2 from both sides (y=2/3x-2/3
3. 2/3x is the slope
Five less than 1/3 of a number equals three
Answer:
I'm pretty sure it's 24 But you can check again with someone else.
Step-by-step explanation:
1/3 of 24 is 8 and 5 less meaning, 5 is subtracted from 8 gives you 3
Are the two Rectangles congruent? How do you know?
A. No, Sides are diffrent length and do not have a corresponding part.
B. Yes, each side and each angle has a congruent corresponding part.
Yes each side and each angle has a congruent corresponding part
Hello! I need some assistance with this homework question for precalculus, please?HW Q23
Solution
Step 1:
Write the logarithm function
\(\log_a^6\text{ = 4}\)Step 2:
Base = a
Exponent = 4
Hence
\(\begin{gathered} \text{The exponential function is:} \\ a^4\text{ = 6} \end{gathered}\)Final answer
\(a^4\text{ = 6}\)In order to solve this equation for x, what expression must be multiplied by each
term?
4/x-1 - 1/ x^2-1= 6/x-1
answers:
A. (x^2-1)
B. (x+1)
C. (x-1)
D. this equation can be solved as is.
E. (x+3/2)
The common factor for the rational expression presented in this problem is given as follows:
A. (x²-1).
How to obtain the greatest common factor of the expression?The rational expression in this problem is given as follows:
4/(x - 1) - 1/(x² - 1) = 6/(x - 1).
It is called a rational expression as it has the variable x in the denominator.
The common factor, which is the expression that multiplies each term, is obtained considering all the terms that are present in the denominators.
The denominators to each term of the expression are listed as follows:
x - 1.x² - 1 = (x - 1)(x + 1) -> subtraction of perfect squares.x - 1.Hence the two terms present in the denominators of the expression are:
(x - 1)(x + 1) = x² - 1 -> subtraction of perfect squares.
Hence option A gives the correct term.
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y
5t
dy+(5lny+3)dt=0
The given differential equation is a first-order linear homogeneous equation.
The given differential equation is of the form:
dy/dt + (5ln(y) + 3) = 0
This is a first-order linear homogeneous equation because it can be written in the form dy/dt + P(t)y = 0, where P(t) = 5ln(y) + 3. In this equation, y represents the dependent variable and t represents the independent variable.
To solve this type of equation, we can use an integrating factor. By multiplying both sides of the equation by the integrating factor, which is e^(integral of P(t) dt), we can simplify the equation and solve for y.
After multiplying by the integrating factor, the equation becomes:
e^(integral of P(t) dt) * dy/dt + (e^(integral of P(t) dt) * (5ln(y) + 3)) = 0
Simplifying further, we obtain:
d/dt (e^(integral of P(t) dt) * y) = 0
Integrating both sides with respect to t, we get:
e^(integral of P(t) dt) * y = C
Where C is the constant of integration.
Finally, solving for y, we have:
y = Ce^(-integral of P(t) dt)
This is the general solution to the given differential equation. By specifying initial conditions or additional information, we can determine the particular solution that satisfies the given conditions.
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An investment adviser has determined that ABCD stock would be an appropriate investment for his client, but only if the price falls from the current level of $50 per share to $35 per share. What MUST the adviser do prior to placing an order to buy ABCD stock for the client's account
Prior to placing an order to buy ABCD stock at a lower price, the investment adviser must conduct thorough research and analysis, set a target price, and determine an appropriate entry point for the purchase.
The investment adviser's primary responsibility is to act in the best interest of their client and make informed investment decisions. In this case, where the adviser believes ABCD stock is appropriate only if the price falls to $35 per share, several steps need to be taken before placing an order.
Firstly, the adviser should conduct comprehensive research on ABCD stock to understand its historical performance, financial health, industry trends, and any relevant news or events that might impact its future prospects. This research will help validate the adviser's belief that the stock is worth considering at a lower price.
Secondly, the adviser should establish a target price of $35 per share based on their analysis and the client's investment objectives. This target price serves as a reference point and provides a clear criterion for initiating the purchase.
Lastly, the adviser needs to identify an appropriate entry point for the purchase. This involves monitoring the stock's price movements and market conditions closely. The adviser may choose to set a limit order at $35 per share or implement a strategy to take advantage of potential price declines, such as dollar-cost averaging.
By following these steps, the investment adviser ensures that they have thoroughly evaluated the investment opportunity and have a plan in place before placing an order to buy ABCD stock for the client's account.
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cr2o72−(aq) 14h (aq) 6i−(aq)→2cr3 (aq) 7h2o(l) 3i2(s)cr2o72−(aq) 14h (aq) 6i−(aq)→2cr3 (aq) 7h2o(l) 3i2(s) express your answer in volts using two decimal places.
The cell potential (E⁰ cell) of the given reaction Cr₂O₇²⁻ (aq) + 14H⁺ (aq) + 6I⁻ (aq) → 2Cr³⁺ (aq) + 7H₂O (l) + 3I₂ (s) is 0.79 volts.
The given reaction is a redox reaction involving the following species: Cr₂O₇²⁻ (aq) + 14H⁺ (aq) + 6I⁻ (aq) → 2Cr³⁺ (aq) + 7H₂O (l) + 3I₂ (s) .
To determine the cell potential (E⁰) of the reaction, we need to know the reduction potentials (E⁰) of the species involved. The reduction half-reactions involved in this reaction are:
Cr₂O₇²⁻ (aq) + 14H⁺ (aq) + 6e⁻→ 2Cr³⁺ (aq) + 7H₂O (l)
(1) I2 (s) + 2e⁻ → 2I⁻ (aq)
(2) The standard reduction potentials (E⁰) for these half-reactions are: E⁰(Cr₂O₇²⁻/Cr³⁺) = 1.33 V
E⁰(I2/I⁻) = 0.54 V
To calculate the cell potential (E⁰cell), we subtract the reduction potential of the anode reaction (oxidation half-reaction) from the reduction potential of the cathode reaction (reduction half-reaction):
E⁰cell = E⁰cathode - E⁰anode
In this case, the reduction half-reaction (1) involves Cr₂O₇²⁻/Cr³⁺ and has a higher reduction potential (1.33 V) compared to the reduction half-reaction (2) involving I2/I⁻ (0.54 V).
Therefore, the reduction half-reaction (1) is the cathode reaction, and the reduction half-reaction (2) is the anode reaction. Substituting the values into the equation, we get:
E⁰cell = 1.33 V - 0.54 V = 0.79 V
Therefore, the cell potential (E⁰cell) of the given reaction is 0.79 volts.
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Find the Domain and range.Also,state whether each set of ordered pairs ia a function or not
{(0,8),(7,-4),(5,-7),(-2,3),(7,0)}
Domain:_______
Range:_______
Funtion or not:_______
pls help question in the pic
Answer:
x = 13
Step-by-step explanation:
Looking at the angle labeled, this is a 90-45-45 right isosceles triangle. As a result, x (the side indicated) is also 13, like the labeled side.
the chart gives prices and output information for the country of new zealand. use this information to calculate real and nominal gdp for both years. use 2017 as the base year.
The nominal GDP for the year 2017 is $87,000, and the real GDP for the year 2017 is $87,000.
How to calculate real and nominal GDP?Using a base year,the formula to calculate the Real GDP is given below:
Real GDP = Nominal GDP ÷ Deflator (in decimal)
Where, Deflator = (Price of base year goods and services ÷ Price of current year goods and services) × 100
Nominal GDP for the year 2017= 1,650 × 10 + 2,820 × 25= 16,500 + 70,500= 87,000
Nominal GDP for the year 2019= 1,900 × 12 + 3,250 × 27= 22,800 + 87,750= 110,550 Using the above formula,
Deflator for the year 2017 can be calculated as:
Deflator for 2017= (P2017 / P2017) × 100= (1 × 10 + 2 × 25) / (1 × 10 + 2 × 25) × 100= 100
Similarly, Deflator for the year 2019 can be calculated as:
Deflator for 2019= (P2019 / P2017) × 100= (1.10 × 12 + 2.75 × 27) / (1 × 10 + 2 × 25) × 100= 120.25
Now, Real GDP for the year 2017= 87,000 / 100= $87,000 Real GDP for the year 2019= 110,550 / 120.25= $917.54 million.
Thus, the nominal GDP for the year 2017 is $87,000, and the real GDP for the year 2017 is $87,000. The nominal GDP for the year 2019 is $110,550, and the real GDP for the year 2019 is $917.54 million.
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Which of the following statements is true?
The probability of the union of two events can exceed one.
When events A and B are mutually exclusive, then P(A intersection b) = P(A) + P(B).
The union of events A and B consists of all outcomes in the sample space that are contained in both event A and B.
When two events A and B are independent, the joint probability of the events can be found by multiplying the probabilities of the individual events
The statement "When two events A and B are independent, the joint probability of the events can be found by multiplying the probabilities of the individual events" is true.
When two events A and B are independent, it means that the occurrence of one event does not affect the probability of the other event. In such cases, the joint probability of both events can be found by multiplying their individual probabilities. Mathematically, this can be expressed as P(A ∩ B) = P(A) * P(B). This rule holds true for independent events and is a fundamental concept in probability theory.
Now, let's examine the other statements:
1. The probability of the union of two events can exceed one:
This statement is false. The probability of an event is always between 0 and 1, inclusive. When you consider the union of two events, the probability of their combined occurrence cannot exceed 1. It is possible for the sum of the individual probabilities of the two events to exceed 1, but the probability of their union will never be greater than 1.
2. When events A and B are mutually exclusive, then P(A ∩ B) = P(A) + P(B):
This statement is false. Mutually exclusive events are events that cannot occur at the same time. If events A and B are mutually exclusive, their intersection (A ∩ B) will be an empty set, and therefore, the probability of their intersection is 0 (P(A ∩ B) = 0). The correct statement for mutually exclusive events is P(A ∪ B) = P(A) + P(B), where P(A ∪ B) represents the probability of the union of events A and B.
3. The union of events A and B consists of all outcomes in the sample space that are contained in both event A and B:
This statement is false. The union of events A and B, denoted as A ∪ B, consists of all outcomes that belong to either event A or event B or both. In other words, it includes all outcomes that are in A, in B, or in both A and B. The intersection of events A and B (A ∩ B) represents the outcomes that are contained in both A and B.
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Kyle’s mom needed a small carpet to put in the kitchen. There was room for a carpet that was 7/10
of a meter long and 3/5
of a meter wide. Choose the model that shows the area of the carpet.
Answer:
The carpet is the one that has an area of 21/50 square meters.
Step-by-step explanation:
To find the area of the carpet, we need to multiply the length and width of the carpet. The length of the carpet is 7/10 of a meter and the width of the carpet is 3/5 of a meter.
So, the area of the carpet is:
(7/10) x (3/5) = (21/50) square meters
Therefore, the correct model that shows the area of the carpet is the one that has an area of 21/50 square meters.
The sum of two numbers is 15 and
their difference is 7.
What are the two numbers ?
Smaller number
Larger number
Answer:
Smaller Number=4, Larger Number=11
Step-by-step explanation:
I just guessed and checked
The marching band at Jefferson High School is taking a field trip from Lansing, Michigan, to Detroit, Michigan. The bus driver was told to stop 53 miles into the trip. If the rest of the trip is 41 miles and the entire journey can be represented by the expression
3
x
+
16
,
find the value of x.
Consider the following. {(-1, 2), (8,4)} (a) Show that the set of vectors in R^n is orthogonal. (-1,2). (8,4)
We can infer that the set of vectors represented by (-1, 2), (8, 4) is orthogonal in Rⁿ since their dot product is equal to zero.
We must determine whether the dot product of any two vectors in the set is equal to zero in order to demonstrate the orthogonality of the set of vectors in Rⁿ.
Let's determine the dot product of the vectors provided:
(-1, 2) ⋅ (8, 4) = (-1)(8) + (2)(4)
(-1, 2) ⋅ (8, 4) = -8 + 8
(-1, 2) ⋅ (8, 4) = 0
We can infer that the set of vectors (-1, 2), (8, 4) is orthogonal in Rⁿ because the dot product of (-1, 2) and (8, 4) equals zero.
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______ receives about 65 percent of the federal funds that are transferred to state governments.
the Department of Education receives about 65 percent of the federal funds transferred to state governments.
First, you need to identify what type of information is being asked for in the question. In this case, the question is asking which department receives a certain percentage of federal funds transferred to state governments.
Next, you need to research the answer. You can find the answer to this question by looking at the U.S. Department of Education website or other reliable sources.
The answer is that the Department of Education receives about 65 percent of the federal funds transferred to state governments.
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a writer wrote 10,010 words for his book on the first day of writing. he wrote 9,760 words on the second day, 9,510 words on the third day, and continued this way in an arithmetic sequence. write an explicit rule showing the equation for the number of words the writer would write on the 14th day, and solve.
Answer:
rule: an = 10010 -250(n -1)day 14: 6760 wordsStep-by-step explanation:
The first three terms of the arithmetic sequence for the number of words written are 10010, 9760, 9510. These have a common difference of 9760-10010 = -250. The first term and common difference can be used to make the explicit equation for the words written on the n-th day.
Formula for Arithmetic SequenceThe explicit formula for the n-th term of an arithmetic sequence with first term a₁ and common difference d is ...
\(a_n=a_1+d(n-1)\)
ApplicationFor first term a₁ = 10010 and common difference d = -250, the explicit rule is ...
\(a_n=10010-250(n-1)\)
On day 14, n=14, and the number of words written is ...
\(a_{14}=10010-250(14-1)\\\\a_{14}=10010-250(13)=10010-3250\\\\a_{14}=6760\)
The writer would write 6760 words on the 14th day.
The first two steps in determining the solution set of the system of equations, y = x2 – 6x + 12 and y = 2x – 4, algebraically are shown in the table.
Which represents the solution(s) of this system of equations?
(4, 4)
(–4, –12)
(4, 4) and (–4, 12)
(–4, 4) and (4, 12)
Answer:
(4,4)
Step-by-step explanation:
The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.
x^2 - 6x + 12 = 2x - 4
x^2 - 8x + 16 = 0
(x - 4)^2 = 0
x = 4
Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.
y = 2x - 4 = 2(4) - 4 = 4
Therefore, the solution of this system of equations is (4, 4).
Therefore, the correct answer is (4, 4).
I need an answer now!!
A number is randomly selected from ">{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
A is represented by the event that the number picked is greater than 7.
What is the probability of the complement of event A?
Answer:
6/20 chance or a 3/10(same thing )
Step-by-step explanation:
there are 20 numbers and only six of the are over 7 making a 6/20 chance or 3/10
how much more money will you make if you invest $740 at 5.1% interest compounded contiuously for 12 years than if he same amount was invested at 5.1% compounded daily for the same amount of time?
The amount of money we can make is $0.05.
We have,
P= $710
R= 5.1%
T= 12 year
Compounded Continuously:
A = P\(e^{rt\)
A = 710.00(2.71828\()^{(0.051)(12)\)
A = $1,309.32
Compounded Daily:
A = P(1 + r/n\()^{nt\)
A = 710.00(1 + 0.051/365\()^{(365)(12)\)
A = 710.00(1 + 0.00013972602739726\()^{(4380)\)
A = $1,309.27
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A train averages a speed of 90 miles per hour across the plains and 37.5 miles per hour through the mountains. If a trip of 300 miles took 3 hours and 48 minutes then how many miles were spent in the mountain?
The number of miles that are spent in the mountain will be 30 miles.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A train averages a speed of 90 miles per hour across the plains and 37.5 miles per hour through the mountains. If a trip of 300 miles took 3 hours and 48 minutes.
Let 't' and 'T' be the amount spent on the mountain and plain. Then the equation is given as,
37.5t + 90T = 300 ....1
t + T = 3 + 48 / 60
t + T = 3.8 .....2
From equations 1 and 2, then we have
37.5t + 90(3.8 - t) = 300
37.5t + 342 - 90t = 300
52.5t = 42
t = 0.8 hour
Then the distance of the mountain is given as,
d = 37.5 x 0.8
d = 30 miles
The number of miles that are spent in the mountain will be 30 miles.
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A tree casts a shadow that is 24 ft in length. A 3 foot stick casts a shadow that is 2 ft in length. What is the height of the tree?
Answer:
36 ft
Step-by-step explanation:
Looking at the shadow of the stick, it is 2/3 as long the length of the stick.
We know the shadow is 24 feet, so 24 is 2/3 of x (the length of the tree)
Multiply 24 by 3/2 (the reciprocal of 2/3) to get x.
24/1 * 3/2
Cross-cancellation
12/1 * 3/1
12 * 3
36 ft
The height of the tree is 36 feet.
identify whether or not the following features are represents in the above diagram. for each feature that is represented write the name(s) denoted in the diagram.
Answer:
The rays represented in the diagram includes
Ray AB, NB, BN, BA
The vertex where rays NB and NA meets = N
Step-by-step explanation:
A ray is a line segment that extends endlessly from a given point. A ray is a line that has unbounded endpoint but has a start or endpoint.
A vertex is the point or corner which is the meeting point of two or more lines or rays. In the question, the meeting point of the rays NB and NA is the point N, which can be said to be the vertex of the two rays.
EASY POINTS UP FOR GRABS!!
Answer:
\(1.445 \times {10}^{3} \)
Step-by-step explanation:
\((1.7 \times {10 }^{4} )(8.5 \times {10}^{ - 2} ) = 14.45 \times {10}^{2} = 1.445 \times {10}^{3} \)
Find the measure of side b. Round to the nearest whole number.
9514 1404 393
Answer:
143 m
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
cos(33°) = b/(170 m)
b = (170 m)cos(33°) ≈ 142.57 m
The measure of side b is about 143 meters.
there is a single sequence of integers $a 2$, $a 3$, $a 4$, $a 5$, $a 6$, $a 7$ such that \[\frac{5}{7}
The given equation is$\frac{5}{7}=\frac{a_2}{a_3}\times \frac{a_4}{a_5}\times \frac{a_6}{a_7}$Now, let us take $a_2=5$ and $a_4=1$. Thus, we get, $\frac{5}{7}=\frac{5}{a_3}\times \frac{1}{a_5}\times \frac{a_6}{a_7}$To simplify, we get, $\frac{5a_5a_6}{7a_3a_7}=1$
Hence\(, $5a_5a_6=7a_3a_7$Now, let us take $a_5=7$, $a_6=1$, $a_3=5$ and $a_7=1$.\)Putting the values, we get, $5\times7\times1=7\times5\times1$.Thus,\($a_2=5$, $a_3=5$, $a_4=1$, $a_5=7$, $a_6=1$ and $a_7=1$\) satisfies the given equation $\frac{5}{7}=\frac{a_2}{a_3}\times \frac{a_4}{a_5}\times \frac{a_6}{a_7}$.
Therefore, there is a single sequence of integers \($a_2$, $a_3$, $a_4$, $a_5$, $a_6$, $a_7$\)such that $\frac{5}{7}=\frac{a_2}{a_3}\times \frac{a_4}{a_5}\times \frac{a_6}{a_7}$ and the values are: \($a_2=5$, $a_3=5$, $a_4=1$, $a_5=7$, $a_6=1$ and $a_7=1$.\)
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