Answer:
x=2.1
Step-by-step explanation:
collect like terms 2.4x+5.8x=8.2x
move the terms to the left side and change its sign to -8.2x
move the constant(-3.28) to the right and change its sign to 3.28
equation should now be 9x-8.2x=-1.6+3.28
next you're going to do 9x-8.2x=0.8x
then -1.6+3.28=1.68
divide both sides of the equation by 0.8
x=2.1 is your final answer
3 consecutive integers have a sum of 120. What is the least of these integers
Answer:
39
Step-by-step explanation:
39 + 40 + 41 = 120
39 is the least of these integers
Convert the following decimal to a fraction.
34
Answer:
34/1
Step-by-step explanation:
34 is a whole number so it can only have a one thrown under it
Which is the graph of the sequence defined by the function f(x) = 100(0.5)x - 1?
Answer:
Step-by-step explanation:
The graph choices have not been posted.
There is also a doubt as to what is really wanted, is it
A. f(x) = 100(0.5)^x - 1
or
B. f(x) = 100(0.5)^(x - 1)
I have included a graph for each. Feel free to make a choice between the two, A is red, and B is blue.
Answer:
it's B
Step-by-step explanation:
i literally just did it on ed
Lina goes to another bank that offers her 7% interest on her $200. After 1 year, how much would she have earned?
6TH TIME POSTING....
Which algebraic rule describes the translation?
Wont let me copy and paste picture .-.
Cordinates: RUST: R= -4,-1 U= -4,-3 S= -1,-1 T= -1,-3
Cordinates: R'U'S'T': R'= 4,1 U'= 4,3 S'= 1,1 T'= 1,3
Answer:
I wanna say (x,y)→(-x,-y)
Step-by-step explanation:
What quantities are being compared? (If there are x- and y- axes, what do they represent?)
Answer:
The independent variable belongs on the x-axis (horizontal line) of the graph and the dependent variable belongs on the y-axis (vertical line).
A diner serves a stack of potato slices that is 2.8 centimeters tall. The thickness of a potato is .35 centimeters. How many potato slices are in the stacks?
Given that a diner serves a stack of potato slices that is 2.8 centimeters tall. The thickness of a potato is 0.35 centimeters.
We have to determine the number of potato slices in the stacks.
The number of potato slices in the stack is given by:
\(\frac{2.8}{0.35}=8\)Thus, the number of potato slices in the stack is 8.
group of 20 students were tested on their knowledge of a particular topic. these students received a tutorial on the subject and were then re-tested. what would be the appropriate type of test, a paired-t test or an independent sample t-test?
The appropriate type of test for this scenario would be a paired-t test. A paired-t test is used when the same group of subjects are tested twice under different conditions.
In this case, the 20 students were tested before and after receiving the tutorial, making it a paired design.
A paired-t test compares the mean scores of the two tests and determines if there is a significant difference between them.
On the other hand, an independent sample t-test is used when two different groups are tested and compared. It would not be suitable in this scenario since the same group of students were tested twice. In summary, the main answer is that a paired-t test is appropriate in this case.
An explanation for this is that a paired-t test is used for within-subject designs, where the same group of subjects are tested twice under different conditions.
After mentioning that a paired-t test is more powerful and sensitive than an independent sample t-test in detecting significant differences between two sets of scores because it reduces variability between subjects.
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An account earning interest at a rate of 4. 6% per year, compounded continuously, will be worth $2174. 30 in 18 years. How much is invested in the account today, if no additional deposits or withdrawals are made?.
To make the given statements true, $967.72 should be invested in the account today, with no additional deposits or withdrawals being made.
Compound interest refers to the amount of interest added on the principal amount plus interest. The formula for compound interest is:
B = P(1 + r/n)^t
where B is the ending balance, P is the principal amount or original balance, r is the interest rate in decimal form, n = number of times interest is compounded annually, and t is the time in number of year
Based on the given information, P is the unknown and
B = $2174. 30
t = 18
r = 4. 6% = 0.046
n = 1
Plug in the values and solve for P or the amount that should be invested today.
B = P(1 + r/n)^t
$2174. 30 = P(1 + (0.046/1))^18
$2174. 30 = P(1.046)^18
P = $2174. 30 / (1.046)^18
P = $967.72
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The quadratic equation x x4 3 2 0 2 − − = has what roots
The quadratic equation x2 - 4x + 3 = 0 has two roots. The roots are given by the quadratic formula as x = [4 ± √(16 - 12)]/2, which gives x = [4 ± 2√3]/2. Therefore, the roots are x = 2 ± √3.
The quadratic equation x^2 - 4x - 3 = 0 has two roots.
To find the roots of this equation, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac))/(2a)
In this case, a = 1, b = -4, and c = -3. Plugging these values into the quadratic formula, we get:
x = (-(-4) ± √((-4)^2 - 4(1)(-3)))/(2(1))
x = (4 ± √(16 + 12))/2
x = (4 ± √28)/2
x = (4 ± 2√7)/2
Simplifying further, we get:
x = 2 ± √7
Therefore, the two roots of the equation are x = 2 + √7 and x = 2 - √7.
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can someone help me with this? I’ll mark you brainliest
Answer:
sorry man can't help you with this one
what is the slope of (-2,8) and (9,6) ?
in preparation, you identify all possible outcomes and the probability of each outcome. which approach to negotiation are you using? game theory individual differences cognitive approach situational characteristics
By identifying all possible outcomes and the probability of each outcome the negotiation used here is Game theory.
The study of mathematical models of strategic interactions between rational beings is known as game theory and it has uses in computer science, logic, systems science, and all branches of social science.
The most well-known application of game theory is The Prisoner's Dilemma for instance take two offenders who were detained following an arrest as an example. The prosecution lacks concrete proof to prove their guilt. Officials, however, take the inmates out of their isolation cells and question each one separately in order to extract a confession.
The area of mathematics known as "game theory" is concerned with the analysis of such games. Classical game theory and combinatorial game theory are the two primary subfields of game theory. Traditional game theory examines games where participants can move, wager, or strategize all at once.
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Find the area of the region that lies inside the curve r = 11 cos θ and outside the curve r = 5 cos θ.
The area of the region that lies inside the curve r = 11 cos θ and outside the curve r = 5 cos θ is \(48\int_{a}^{b}cos^2\theta d\theta\).
In the question, we are asked to find the area of the region that lies inside the curve, r = 11 cos θ and outside the curve, r = 5 cos θ.
The function r = n + a cos θ is a polar function, whose area under the curve can be calculated using integration with respect to dθ, with the formula, \(\int_{a}^{b}\frac{1}{2} r^2d \theta\), over the interval [a, b].
Thus, the area under the curve, r = 11 cos θ, using the stated formula, can be shown as:
\(\int_{a}^{b}\frac{1}{2} r^2d \theta\\=\int_{a}^{b}\frac{1}{2} (11 cos \theta)^2d \theta\\=\int_{a}^{b}\frac{121cos^2\theta}{2} r^2d \theta\)
The area under the curve, r = 5 cos θ, using the stated formula, can be shown as:
\(\int_{a}^{b}\frac{1}{2} r^2d \theta\\=\int_{a}^{b}\frac{1}{2} (5 cos \theta)^2d \theta\\=\int_{a}^{b}\frac{25cos^2\theta}{2} r^2d \theta\)
The area of the region that lies inside the curve, r = 11 cos θ, and outside the curve, r = 5 cos θ, can be shown as follows:
\(\int_{a}^{b}\frac{121cos^2\theta}{2} r^2d \theta - \int_{a}^{b}\frac{25cos^2\theta}{2} r^2d \theta\\=48\int_{a}^{b}cos^2\theta d\theta\)
Thus, the area of the region that lies inside the curve r = 11 cos θ and outside the curve r = 5 cos θ is \(48\int_{a}^{b}cos^2\theta d\theta\).
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Which of the following rational functions is graphed below?
Given rhombus TUVW below. If
m/TXU = (-x-6)°, solve for x.
The value of x in the rhombus is - 96.
How to find the angle of a rhombus?A rhombus is a quadrilateral with 4 sides equal to each other. The opposite sides of a rhombus are parallel. The opposite angles are congruent. The diagonals are perpendicular and they bisect each other. The adjacent angles are supplementary.
Therefore,
m∠TXU = (-x - 6) degrees
Hence,
-x -6 = 90
add 6 to both sides of the equations
-x -6 = 90
-x -6 + 6 = 90 + 6
-x = 96
Therefore,
x = -96
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the test in an if function must evaluate to either a true or a false.
Yes, the test in an "if" function must evaluate to either a True or a False value.
An "if" function, also known as a conditional statement, is used to perform specific actions based on whether a certain condition is met or not. The test or condition within the "if" function needs to be evaluated as either True or False in order for the program to decide which action to execute. If the test evaluates to True, the program will perform the action within the "if" block, and if it evaluates to False, it will either execute the action in the "else" block (if present) or simply skip the "if" block.
When using an "if" function in programming, it is essential for the test or condition within the statement to result in a boolean value, which is either True or False. This is because the program needs to determine whether the condition is met or not, so it can decide which set of actions to execute. If the condition evaluates to True, the code within the "if" block will be executed, while if it evaluates to False, the code within the "else" block (if present) will be executed, or the "if" block will be skipped altogether.
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what is the value of the expression -40 -(-50-2) +10
A/a; B/b; C/C; D/d x A/A; B/b; c/c; D/d What is the probability of obtaining A/a; B/b; C/c; D/d offspring? 1/4 1/8 1/16 3/16 1/32
Since each trait is inherited independently, we can multiply the probabilities together. The probability of obtaining A/a; B/b; C/c; D/d offspring is (1/2) * (1/2) * (1/2) * (1/2) = 1/16.
The probability of obtaining A/a; B/b; C/c; D/d offspring can be calculated by multiplying the probabilities of each individual trait. Since each trait is inherited independently, we can multiply the probabilities together.
The probability of obtaining A/a offspring is 1/2 (A is dominant and a is recessive).
The probability of obtaining B/b offspring is 1/2 (B is dominant and b is recessive).
The probability of obtaining C/c offspring is 1/2 (C is dominant and c is recessive).
The probability of obtaining D/d offspring is 1/2 (D is dominant and d is recessive).
Therefore, the probability of obtaining A/a; B/b; C/c; D/d offspring is (1/2) * (1/2) * (1/2) * (1/2) = 1/16.
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HELP MEH PLEASEEEEEEEEE
Answer: A matches with Graph 4, B matches with Graph 3, C matches with Graph 1, and D matches with Graph 2.
What is the area of a triangle with vertices at (-2, -1), (4, -1), (6,5)?
6 square units
9 square units
18 square units
36 square units
Answer: C
Step-by-step explanation:
Extend numeric patterns with constant ratio 1;3;9;27
Calculate the constant ratio
someone please help me
2) A website has games available to purchase for $5 each. If Shauna has $23, how many games can she purchase? Explain your answer.
Answer:
Shauna can buy 4 games because if you multiply 5 by itself to see hom many times it goes into 23 and 5 goes into 23 4 times
6840 precent of 38000
Answer:
x=2599200
Step-by-step explanation:
38000/x=100/6840
(38000/x)*x=(100/6840)*x - we multiply both sides of the equation by x
38000=0.014619883040936*x - we divide both sides of the equation by (0.014619883040936) to get x
38000/0.014619883040936=x
3 pencils cost £2.25.
How much do 7 pencils cost?
Answer: they would cost £5.25
Step-by-step explanation: £2.25 divided by 3 = 0.75 0.75x7= £5.25
Pls solve asap
2x^2 + y^2 =19
x +3y =0
Answer:
4x+4y=19 and x just stays by itself and the 3y also stays by its self so you get x+3y=0
Step-by-step explanation:
im not sure if your trying to use the substitution method or not but answers will be
4x+4y=19 although solving y to the second power but i got it
if the dot product of two nonzero vectors is zero, the vectors must be perpendicular to each other. a) true b) false
The statement "if the dot product of two nonzero vectors is zero, the vectors must be perpendicular to each other" is true. The dot product of two vectors is zero if and only if the vectors are perpendicular.
The dot product of two vectors is defined as the product of their magnitudes and the cosine of the angle between them. When the dot product is zero, it means that the cosine of the angle between the vectors is zero, which occurs when the vectors are perpendicular.
In other words, the dot product being zero indicates that the vectors are at a 90-degree angle to each other, supporting the statement that they are perpendicular.
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Solve the following equation for x . 9=x2+2
Answer:
X=3.5
Step-by-step explanation:
9=x2+2
9-2=x2
(9-2)÷2=x
if A+B= 45° then prove that: tanA+ tanB+ tanA. tanB
Answer:
See Explanation
Step-by-step explanation:
\(A+B= 45 \degree \\ \\ assuming \: \tan \: on \: both \: sides \\ \\\implies \: \tan( A+B)= \tan 45 \degree \\ \\ \implies \: \tan( A+B)= 1 \: \: \\ ( \because \: \tan 45 \degree = 1) \\ \\ \implies \: \frac{\tan \: A +\tan \: B }{1 - \tan \: A .\tan \: B } = 1 \\ \\ \implies \: \tan \: A +\tan \: B = 1 - \tan \: A .\tan \: B \\ \\ \purple{ \implies }\: \orange{ \bold{\tan \: A +\tan \: B + \tan \: A .\tan \: B= 1 }} \\ \\ thus \: proved\)
How many hex digits are required to represent decimal numbers up to 1,999? how many bits are required?
To determine the number of hex digits required to represent decimal numbers up to 1,999, we need to find the largest decimal number within that range and convert it to hexadecimal representation.
The largest decimal number within the range is 1,999. To convert it to hexadecimal, we divide it by 16 repeatedly until the quotient is 0, and then concatenate the remainders in reverse order.
1,999 divided by 16 gives a quotient of 124 and a remainder of 15 (F in hexadecimal representation).
124 divided by 16 gives a quotient of 7 and a remainder of 12 (C in hexadecimal representation).
7 divided by 16 gives a quotient of 0 and a remainder of 7 (7 in hexadecimal representation).
Thus, 1,999 in hexadecimal representation is 7CF. It requires three hex digits (7, C, F) to represent 1,999.
To calculate the number of bits required, we need to know the number of bits in one hex digit. Since each hex digit represents 4 bits, three hex digits would represent 3 * 4 = 12 bits.
Therefore, to represent decimal numbers up to 1,999, three hex digits are required, and it would take 12 bits.
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