Answer:
the first one
Step-by-step explanation: they are all the same
Simplify: \(t^{2} . t\)
Answer:
t ^3
Step-by-step explanation:
t^2.t
= t × t^2+1
= t^3
+
MONDAY
Use numbers 0-9 so that each problem
has the same sum.
1 7 1
+
17 1
Answer: See below
Step-by-step explanation:
To solve this problem, we need to assign each digit from 0 to 9 to a unique letter so that each letter represents a single digit. We can then use this mapping to solve the addition problem:
Let's assign the letters A, B, C, D, E, F, G, H, I, and J to the digits 0 to 9, respectively.
Then, the addition problem becomes:
A B C
D E F
We know that the sum of each column must be the same, so:
C + F = 10 + B
B + E = 10 + A
We can rewrite these equations as:
C - B + F = 10
B - A + E = 10
Since we are given that the sum of the two numbers is the same, we know that:
C + F + D + E = 1112
We can substitute C and F in terms of A and B using the equations above:
C = 10 + B - F
F = 10 + C - B
Substituting these expressions into the equation for the sum, we get:
10 + B - F + C + D + E = 1112
Simplifying this equation, we get:
B - F + C + D + E = 1102
Now we can substitute in the expressions for C and F in terms of A and B:
B - (10 + B - F) + (10 + C - B) + D + E = 1102
Simplifying and canceling out terms, we get:
F - C - D - E = -92
We know that each digit is unique, so we can assume that A is not equal to 0 (otherwise the number would not have 4 digits). We can also assume that D is not equal to 0, since it is the leftmost digit of the second number.
Trying different values for A and D, we find that A = 2 and D = 3 works:
A B C
D E F
2 7 9
1 7 3
The sum of each column is 3 + 7 + 2 = 1 + 9 + 7, which is equal to 12. Therefore, the solution is:
2 7 9
1 7 3
4 5 2
Tickets for a raffle cost $8. There were 737 tickets sold. One ticket will be randomly selected as the winner, and that person wins $1800 and also the person is given back the cost of the ticket. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)?
On average, someone who buys a ticket can expect to make a profit of $2.43 as the expected value for someone who buys a ticket is $2.43.
What is expected value?It is the average amount of money that an individual can expect to win or lose on an investment. It is calculated by multiplying the probability of each outcome by its payoff and then adding the expected values of all outcomes.
In this case, the probability of winning= 1/737
and the payoff = $1800 - $8
= $1792.
The expected value (EV) is calculated by multiplying the probability of each outcome by its payoff.
EV = (1/737) x (1792)
EV = $2.43
Therefore, the expected value for someone who buys a ticket is $2.43. This means that, on average, someone who buys a ticket can expect to make a profit of $2.43.
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What percent of 28 is 77?
Answer:
36.3636364%
or 36.36
Step-by-step explanation:
Given: Circle C; Angle LRC is congruent to Angle EIC
Prove: Triangle LRC is congruent to Triangle EIC
Answer:
\({\triangle LRC} \cong {\triangle EIC}\) by angle-angle-side (\(\texttt{AAS}\).)
Step-by-step explanation:
Let \(r\) denote the radius of this circle.
Notice that \(EC\) and \(LC\) are each a radius of this circle. (A radius of a circle is a segment with one end at the center of the circle and the other end on the perimeter of the circle.)
Therefore, the length of both segment \(EC\) and segment \(LC\) should be equal to the radius of this circle:
\(r = \overline{EC}\).
\(r = \overline{LC}\).
Therefore, \(\overline{EC} = \overline{LC}\).
Thus, \({\triangle LRC} \cong {\triangle EIC}\) by angle-angle-side (\(\texttt{AAS}\)) since:
\({\angle RCL} = {\angle ICE}\) (same angle.)\({\angle LRC} \cong {\angle EIC}\) (given.)\(\overline{EC} = \overline{LC}\).Which of the following is equal to the opposite of −45?
−|45|
−|−45|
−(−45)
−45
Which of the following statements does not represent the same value as the others?
the absolute value of 9
the absolute value of negative 9
the opposite of 9
the distance between 0 and −9
All of the following are true statements except _____.
|−93| = −93
|−93| = 93
−|93| = −93
|93| = 93
If you move from zero to 15 on the number line, you are representing all of the following except _____.
the absolute value of 15
the distance between zero and 15
the opposite of −15
the opposite of 15
All of the following expressions are equal to N except _____.
−(− N )
− N
| N |
|− N |
Answer:
The first one
Step-by-step explanation:
What Did the Baby Porcupine Say
When It Backed Into a Cactus?
each
Answer:
As baby porcupine is backed into cactus, so the spines of cactus will feel like spines of mother porcupine. So the baby porcupine will give call to its mother.
Step-by-step explanation
He said hi Ma.
Find the doubling time of an investment earning 8% interest if interest is compounded continuously. The doubling time of an investment earning 8% interest if interest is compounded continuously is ____ years.
Answer:
Step-by-step explanation:
Using FV = PV(1 + r)^n where FV = future value, PV = present value, r = interest rate per period, and n = # of periods
1/PV (FV) = (PV(1 + r^n)1/PV divide by PV
ln(FV/PV) = ln(1 + r^n) convert to natural log function
ln(FV/PV) = n[ln(1 + r)] by simplifying
n = ln(FV/PV) / ln(1 + r) solve for n
n = ln(2/1) / ln(1 + .08) solve for n, letting FV + 2, PV = 1 and rate = 8% or .08 compound annually
n = 9
n = ln(2/1) / ln(1 + .08/12) solve for n, letting FV + 2, PV = 1 and rate = .08/12 compound monthly
n = 104 months or 8.69 years
n = ln(2/1) / ln(1 + .08/365) solve for n, letting FV + 2, PV = 1 & rate = .08/365 compound daily
n = 3163 days or 8.67 years
Alternatively
A = P e ^(rt)
Given that r = 8%
= 8/100
= 0.08
2 = e^(0.08t)
ln(2)/0.08 = t
0.6931/0.08 = t
t= 8.664yrs
t = 8.67yrs
Which ever approach you choose to use,you will still arrive at the same answer.
hello can you help me with this question
Answer:
B. x is less than or equal to 5
Step-by-step explanation:
The dot is on 5 and is also a solid dot which means it is less than or equal to or greater than or equal to
In this case it is less than or equal to because the line goes to the left
Hope this helped!
If f(x) = -8x + 2, then i
8x + 2. then '(x) =
What is this one
Answer:
as for the other stuff you need to update my 45=44
Hello can I have some help for the second part of the question
y = - x - 2
Explanation:
The equation of a line perpendicular to PQ in point-slope form is given as:
\(y-y_1=-\frac{1}{m}(x-x_1)\)where:
• m is the ,slope, of the line
,• (x₁, y₁) is ,any point ,on the line
Get the required point
The point (x₁, y₁) will be the midpoint of PQ with endpoints P(-5, -5) and Q(3, 3) as shown using the midpoint formula.
\(\begin{gathered} (x_1,y_1)=(\frac{-5+3}{2},\frac{-5+3}{2}) \\ (x_1,y_1)=(\frac{-2}{2},\frac{-2}{2}) \\ (x_1,y_1)=(-1,-1) \end{gathered}\)Get the slope of the line passing through the point P(-5, -5) and Q(3, 3) using the slope formula as shown:
\(\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{3-(-5)}{3-(-5)} \\ m=\frac{3+5}{3+5} \\ m=\frac{8}{8} \\ m=1 \end{gathered}\)Substitute the point (-1, -1) and the slope of PQ which is 1 into the point-slope form of the equation to have:
\(\begin{gathered} y-y_1=-\frac{1}{m}(x-x_0) \\ y-(-1)=-\frac{1}{1}(x-(-1)) \\ y+1=-1(x+1) \end{gathered}\)Expand the parenthesis:
\(\begin{gathered} y+1=-x-1 \\ y=-x-1-1 \\ y=-x-2 \end{gathered}\)Hence, the equation of the line passing through the midpoint and perpendicular to PQ is y = -x - 2
What does (2+4(6))/2 equal?
16
13
14
10
Answer:
13
Step-by-step explanation:
You must use PEMDAS to solve this equation.
Solve everything in the parentheses first;
4(6) = 24
24 + 2 = 26
26 / 2 = 13
Final answer = 13
Need do find the domain and range
Answer:
So
Domain: (-∞,∞)
Range: [\(-\frac{105}{8} ,\)∞)
Step-by-step explanation:
Answer:
Domain: (-∞,∞)
Range: [-105/8,∞)
Step-by-step explanation: Hope this helps.
Manny goes bowling.
- He has $25.00 to spend.
- He spends $4.25 to rent shoes.
- He spends $2.50 for each game he bowls.
Which inequality can Manny use to determine x, the greatest number of games he can bowl?
A. 2.5+4.25x≥25
B.4.25+2.5x≥25
C. 2.5+4.25x≤25
D. 4.25+2.5x≤25
Answer:
D
Step-by-step explanation:
Chicken costs c dollars per pound. Write an expression for the price of 3/4 pound of chicken.
Answer: \(\frac{3}{4}\)c
Step-by-step explanation:
If one pound of chicken costs c dollars, and we are writing an expression for 3/4 a pound of chicken, our expression will be the price (c) multiplied by how much chicken there is (3/4):
3/4c
- In mathematics, an expression is a combination of numbers, variables (represented by letters), symbols, and operators, arranged in a way that represents some meaningful mathematical relationship or calculation.
- Expressions can be simple, like 3x or 4 + 5, or complex, like (3x + 4y) / (2x - 5y). Expressions are not equations or inequalities, as they do not contain an equal sign, but they can be used to build equations or inequalities.
Solving the Question:The price of 1 pound of chicken is c dollars. To find the price of 3/4 pound of chicken, we can multiply the price of 1 pound by 3/4:
\(\begin{aligned}\sf Price\: of\: \dfrac{3}{4}\: pound\: of\: chicken& =\sf \dfrac{3}{4} \times c \\&=\boxed{\bold{\:\dfrac{3}{4}c\:}}\end{aligned}\)
Therefore, the expression for the price of 3/4 pound of chicken is 3/4c.
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Endpoints of segment MN have coordinates (0, −3), (−2, −4). Endpoints of segment AB have coordinates (2, 5), (4, k).
a
What value of k makes these segments perpendicular?
Answer:
the answer is k=1
Step-by-step explanation:
Question
A card is drawn from a standard deck of 52 cards and then placed back into the deck. Find the probability that a red card is
drawn at least once by the third draw. Round your answer to two decimal places.
Provide your answer below:
The probability that a red card is drawn at least once by the third draw is 0.88.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Let, a card is drawn from a standard deck of 52 cards and then placed back into the deck.
In a standard 52 card deck the red cards are 26.
So,
P(red) = n(red cards) / n(total cards)
= 26 / 52
P(red) = 0.50
Now, X ≈ Bin (n = 3, P = 0.50)
P(X = x) = (n x) p^x (1 - p)^n-x
(n x) = \(\frac{n!}{x!(n-x)!}\)
P(X ≥ 1) = 1 - P(X < 1)
= 1 - P(X = 0)
= 1- (3 0)(0.5)^0(0.5)^3
= 1 - 0.125
= 0.875
P(X ≥ 1) = 0.88
Hence, the probability that a red card is drawn at least once by the third draw is 0.88.
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What is the difference quotient of the function f(x)=12^x+1 ?
Answer:
The Answer is D or 12^x+1 (12^h - 1) / h
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Got it right
a. Use each sample to make an estimate for the median number of nights students in your school plan to camp next summer. Sample A B C D Median Question 2 Describe the variation of the estimates. Range: nights
The median number and variation estimates is given below.
What is variance?Variance is a measurement of the spread between numbers in a data set. We can write variance as -
\($S^2 = \frac{\sum (x_i - \bar{x})^2}{n - 1}\)
where -
S² = sample variance
x{i} = the value of the one observation
\(\bar{x}\) = the mean value of all observations
n = the number of observations
Given is to use each sample to make an estimate for the median number of nights students in your school plan to camp next summer.
Since the sample is not given, we can calculate the median number of nights using the formula. We can write -
\($\mathrm{Med}(X) = \begin{cases} X[\frac{n+1}{2}] & \text{if n is odd} \\ \frac{X[\frac{n}{2}] + X[\frac{n}{2}+1]}{2} & \text{if n is even} \end{cases}\)
Similarly, we can write variation from median as -
Var(x) = ∑{X(i) - median(X)}²/n
Therefore, the median number and variation estimates is given below.
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The price of a stock steadily decreased by a total of $159 over the past 14 months. Which expression shows the change in the stock's value?
The expression that shows the change in the stock's value is -159 * 14
How to determine the expression that shows the change in the stock's value?From the question, we have the following parameters that can be used in our computation:
Rate of decrement = $159
Duration = 14 months
Using the above as a guide, we have the following:
The expression that shows the change in the stock's value is
Expression = Rate of decrement * Duration
Substitute the known values in the above equation, so, we have the following representation
Expression = -159 * 14
Evaluate the products
Expression = -2226
Hence, the required expression is -159 * 14
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A kite is flying 99 ft off the ground, and it's string is pulled taut. The angle of elevation of the kite is 41°. Find the length of the string. Round your answer to the nearest tenth
Answer:
150.90 feet
Step-by-step explanation:
It is given that,
A kite is flying 99 ft off the ground
The angle of elevation is 41°.
We need to find the length of the string. Let it is H.
Here, 99 ft is the perpendicular of a right angled triangle. We need to find hypotenuse of the triangle. Using trigonometry we can find it as follows :
\(\sin\theta=\dfrac{P}{H}\\\\H=\dfrac{P}{\sin\theta}\\\\H=\dfrac{99}{\sin(41)}\\\\H=150.90\ \text{feet}\)
So, the length of the string is 150.90 feet.
what is the quotient of -8x^7 /4x^-3 (it’s a fraction)
Answer:
-2x^10
Step-by-step explanation:
-8x^7 x^3/4 - -8x^10/4
Solve the question below:
Answer:
x = 15
Step-by-step explanation:
3x+1+4x-3 = 103
7x = 105
x = 15
1) Which example represents
perpendicular line segments?
A. tines of a fork
B. legs of a table
C. corner of a room
D. pedestrian crosswalk
Answer:
the area of a square garden 3136cm what is the length of one side
Please help Express both quantities in each comparison
using the same units. Write the comparison
as a ratio in fraction form. Then write an
equivalent ratio using whole numbers.
a) 85¢ to $1.20 b) 24 kg to 80 g
Answer:
1a) .85/1.20 = 85/120 = 17/24. 2a) 17:24
1b) 24000/80 = 2400/8 = 300/1. 2b) 300:1
_______________________________
I believe this is what the problem is asking.
which of the following could be the length of the side of a triangle
A :3,10 and 15
B :3,1 and 2
C :11,9, and 20
D :10,4, and 12
(1)
Determine the equation of the line passing through the point (0; -1) and
parallel to the -axis. Do you remember what the gradient of this line is?
(2)
Determine the equation of the line passing through the point(-1;0) and
parallel to the -axis. Do you remember what the gradient of this line is?
We know that,
slope = \( \rm{\frac{(y2 - y1)}{(x2 - x1)} }\)
Let (0,1)=(x 1 ,y 1 ) and (1,2)=(x 2,y 2 )
So,
Slope of line = \( \frac{(2 - 1)}{(1 - 0)} = 1\)
Now,
The required line equaqtion is given by,
==> y−y 1 = m(x-x1)
==> y−1=1(x−0)
==> y−1=x
==> y=x+1
please halp with this step by step to further understand thank you!
. . . . . . plssssss
A skyscraper casts a shadow 200 ft long. If the angle of elevation of the Sun is 38 degrees, then the height of the skyscraper is approximately _____.
A. 200 ft
B. 173.34 ft
D. 156.26 ft
The height of the skyscraper is D. 156.26 ft
How to determine the valueTo determine the height of the skyscraper, we need to consider the following trigonometric identities listed thus;
sinecosinetangentcotangentsecantcosecantFrom the information given, we have that;
Angle, θ = 38 degrees
The shadow casted is the adjacent side of the angle and is 200 ft
The height off the skyscraper is the opposite side
Now, using the tangent identity, we have that;
tan θ = opposite/adjacent
tan 38 = h/200
cross multiply the values, we get;
h = 200(0.7812)
Multiply the values
h = 156. 26 ft
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Extrema interpreting functions
Answer:
In mathematics, the extrema of a function refer to the maximum and minimum values that the function can take on. These values can be local extrema, which occur within a certain range of the function, or global extrema, which are the maximum and minimum values over the entire domain of the function.
To find the extrema of a function, one can use a variety of techniques, such as taking the derivative of the function and setting it equal to zero to find the points of stationary values, or using the second derivative test to determine whether a stationary point is a local maximum or minimum.
Interpreting the extrema of a function can provide valuable information about the behavior of the function. For example, the global maximum of a function might represent the highest possible value that the function can attain, while the global minimum might represent the lowest possible value. Local extrema can also be important, as they can indicate changes in the slope or concavity of the function, which can have important implications for applications such as optimization or modeling real-world phenomena.