According to the property , which choice is equivalent to the quotient below?3577 35 A.5B.C.D.-5E.25
Answer:
Option A is the right answer mate...
When writing a proof, how do you construct the first statement?
A) By writing the justification for the first statement in the right column.
B) By copying the “prove” statement(s) from the original problem.
C) By writing the next logical statement from the current one.
D) By copying the “given” statement(s) from the original problem.
When writing a proof, you should construct the first statement by copying the “prove” statement(s) from the original problem. The Option B is correct.
How should you construct the first statement in a proof?When constructing the first statement in a proof, it is important to begin with copying the “prove” statement(s) from the original problem. This involves writing the next statement based on the given or previously proven statements.
It is not helpful to write a justification for the first statement in the right column without considering its logical connection to the problem. By beginning with a logically connected statement, the proof can proceed in a clear and organized manner which leads to a valid conclusion.
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Why is ABC congruent to CDA?
Answer:
Not enough information
Step-by-step explanation:
There are 37 oak Trees Correctly in the park park workers will Plant 27 more oak Trees today how many oak Trees will The park have when The workers are finished
Answer:
64
Step-by-step explanation:
37+27=64
1. Choose two animals with different speeds. You can choose from the chart
that starts at the bottom of this page or do research to choose your own.
2. Design a fair race in which the two animals have an equal chance of winning
if they race at their top speed. Here are a few tips for your design:
a. The race is fair if the two animals could finish the race in the same
amount of time.
b. You can give the slower animal a shorter distance to race.
c. Since this is a video game, the race does not need to be realistic—it
can be any length, and the animals can run at a constant speed.
3. Write a system of two linear equations showing the distance each animal can
travel to model the fair race. Be sure to define all variables.
4. Graph the system to prove that the two animals have an equal chance of
winning the race. Explain how the graph proves the race is fair
The animals I chose are the squrriel and mouse. the linear equation for the squrriel is y = 12x
and for the mouse its y = 8x
Can I please get help with number 4? Im not sure how to graph it
The linear equation that can be given for squirrel y is the value of 12x.
How to solveAccording to the question,
Animal Mouse Squirrel
Speed(mph) 8 12
SInce "x" the time goes along with x-axis and "y" is the distance covered by the animal.
The mouse time and distance would plot the graph (1,8)(2,16)(3,24)....
The squirrel time and distance would plot the graph (1,12)(2,24)(3,36)....
Let us consider the track is a straight line and the shorter distance is 50 meters.
The formula for straight line equation y = mx + b where 'b' is the base value, 'x' is the time and 'y' is the distance.
The linear equation for squirrel y = 12x+b and the squirrel starts at 0 meters per hour. so the equation becomes y = 12x.
The linear equation for mouse y = 8x + b and the mouse starts at 0 meters. so the equation becomes y = 8x.
Distance covered by the mouse and the squirrel at time x = 3 we can find the distance covered by the mouse and the squirrel.
y =12x
y = 12(3)
y = 36.
The distance covered by the squirrel is 36km at time 3hours.
For mouse, at time x = 3 hours.
y = 8(3)
y=24.
The distance covered by the squirrel is 24km at time 3hours.
Hence, The linear equation for squirrel y = 12x.
The linear equation for mouse y = 8x
The distance covered by the squirrel is 36km at time 3hours.
The distance covered by the squirrel is 24km at time 3hours.
Thus:
The linear equation for mouse y = 8xThe distance covered by the squirrel is 36km at time 3hours.The distance covered by the squirrel is 24km at time 3hours.Read more about fair race here:
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a + b=c make (a) the subject with working
Step-by-step explanation:
a= c-b pls let me know if it is correct or not
The cost per guest of catering an event of no more than 100 people is modeled by the function f(x) = 20 + 5x. The number of guests is modeled by the function g(x) = 100 −x , where x represents the number of guests fewer than 100 that attend. Evaluate(f ∙g )(18) and interpret what it means in the context of the problem.
Answer:
430 is the cost of catering 18 less than 100 guests.
Step-by-step explanation:
f(g(18))=f(100-18)=f(82)=20+5*82=430
In part of an agreement between cigarette agencies and the government, levels of nicotine in cigarettes are to be slowly reduced over time. A sample of 40 measurements conducted on one brad of cigarettes 10 years ago yielded an average of 32.9mg per cigarette with a sample standard deviation of 4.4 mg. A study done last month on 30 cigarettes of this brand yielded a sample mean of 30.6mg with sample standard deviation 5.1 mg. What type of test should be used to determine if the levels now are lower than what they were 10 years ago
Answer: INDEPENDENT SAMPLES T-TEST
Step-by-step explanation:
Given that;
sample size n₁ = 40, sample size n₂ = 40
sample mean x₁ = 32.9, sample mean x₂ = 30.6
Standard deviation S₁ = 4.4, Standard deviation S₂ = 5.1
Now
NULL hypothesis H₀ : u₁ = u₂
and Alternative hypothesis H₁ : u₁ > u₂
Therefore based on the information provided above, the type of test that should be used to determine whether the level of nicotine are now lower than what they were 10 years ago is the INDEPENDENT SAMPLES T-TEST
Solve each equation by completing the square.
d² - 24d + c
Answer:
d² - 24d + c = (d - 12)² - 144 + c
Determine if it is possible to form a triangle using the set of segments with the given measurements.
4.5 in., 5.6 in, 10 in.
a) No, adding all three sides does not add up to the correct measurements.
b) No, because two sides add up to less than the third one.
c) No, because two sides add up to more than the third one.
d) Yes, because two sides add up to less than the third one.
e) Yes, because two sides add up to more than the third one.
Answer:
e) Yes, because two sides add up to more than the third one.-------------------------
Apply the Triangle Inequality Theorem.
It states that:
For a triangle to exist, the sum of the lengths of any two sides must be greater than the length of the third side.We'll take the sum of two shortest sides and compare with the longest:
4.5 + 5.6 = 10.1 > 10It confirms the theorem, without testing the other two sides (which is obvious) so the answer is yes.
The matching answer choice is e).
2x-8y=10
find the y interept
Answer:
The answer is (0,-5/4)
Dis
Answer:
the answer is \(y=\frac{1}{4}x-\frac{5}{4}\)
Step-by-step explanation:
Which of the following is equal to eleven and nine hundred ninety-seven thousandths?
A.
11.997
B.
119.97
C.
11.097
D.
11.97
I NEED HELPPP PLEASE. CORRECT ANSWERS ONLY.
If the smaller of two numbers is one-half of the larger number and the sum of the two numbers is 78. find the numbers.
Answer:
26 and 52Step-by-step explanation:
so one number is 1/2 the other is a 1/3
we need to divide 78 by 3
78/3
=26
26 x 2=52
Write a numerical expression to represent the phrase "the sum of 25 and the cube of 9." Do not evaluate the expression.
Answer:
25 + 9^3
Step-by-step explanation:
Which multiplication expression can you use to find
3/4 divided by 3/8
The given multiplication expression is 3/4÷3/8 or 3/4×8/3
What is multiplication expression?
Mathematical expressions that include multiplication are called multiplication expressions. We combine the integers and then the like variables to simplify the equation. We will therefore obtain x to the second power if we multiply two xs together.
An answer to a multiplication sentence is obtained by multiplying the various components. The multiplier (first number), multiplicand (second number), and product are the components of a multiplication phrase (third number).
The simplest form of an expression is one in which terms cannot be concatenated. In order to write 3 + (2 5) simply: Start by carrying out the procedure between parenthesis. The addition should then be done.
Given, 3/4÷3/8
3/4×8/3
=2
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Kenneth bought 15 chicken sandwiches and tuna sandwiches for $35.10. Each chicken sandwich costs $2.30 and each tuna sandwich costs $2.40. How many chicken sandwiches did Kenneth buy?
Help! Can you do a guess and check? Awarding 20 points!
NONSENSE=REPORT
Answer:
the number of chicken sandwiches = 9
Step-by-step explanation:
let x be the number of chicken sandwiches
y be the number of tuna sandwiches
We have to solve this system:
\(\begin{cases}x+y=15&\\ 2.3x+2.4y=35.1&\end{cases}\)
\(\Longleftrightarrow \begin{cases}y=15-x&\\ 2.3x+ 2.4(15-x)=35.1&\end{cases}\)
\(\Longleftrightarrow \begin{cases}y=15-x&\\ 2.3x+ 36 -2.4x=35.1&\end{cases}\)
\(\Longleftrightarrow \begin{cases}y=15-x&\\ -0.1x + 36=35.1&\end{cases}\)
\(\Longleftrightarrow \begin{cases}y=15-x&\\ -0.1x=-0.9&\end{cases}\)
\(\Longleftrightarrow \begin{cases}y=15-x&\\ x = 9&\end{cases}\)
\(\Longleftrightarrow \begin{cases}y=15-9=6&\\ x = 9&\end{cases}\)
where does 3.5 belong o the venn diagram
Answer:
I think i would be c or a but im not sure
step-by-step explanation:
Example 1: Every Number Has an Opposite
Locate the number 8 and its opposite on the number line. Explain how they are related to zero.
-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
Exercises 2-3
2. Locate and label the opposites of the numbers on the number line.
9
-2
4
a.
b.
C.
8
Answer:
To locate the number 8 and its opposite on the number line, we can use the given number line:
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
Number 8 is located to the right of zero. Its opposite can be found by moving an equal distance to the left of zero. Since the number line is symmetric about zero, the opposite of 8 would be -8.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
↑ ↑
So, the opposite of 8 is -8. They are related to zero as equal distances on opposite sides of zero on the number line.
Now, let's address exercises 2-3:
a. To locate the opposite of 9, we need to move an equal distance to the left of zero. The opposite of 9 is -9.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
↑
b. To locate the opposite of -2, we need to move an equal distance to the right of zero. The opposite of -2 is 2.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
↑
c. To locate the opposite of 4, we need to move an equal distance to the left of zero. The opposite of 4 is -4.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
↑
So, the opposites of the given numbers are:
9 → -9
-2 → 2
4 → -4
They are related to zero as equal distances on opposite sides of zero on the number line.
Step-by-step explanation:
Graph Linear equation y= -2x + 1/3
The graph of the function y = -2x + 1/3 is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = -2x + 1/3
The above function is a linear function that has been transformed as follows
Vertically stretched by a factor of -2Shifted up by 1/3 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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Please help, this is on final. I need how you got the answer and what the answer is.
Answer:
Angle 1 is congruent to the angle that is supplementary to angle 2. Angle 2 is also congruent to angle 3 due to the Corresponding angles theorem. Since angle 2 is supplementary to angle 1 and angle 3 is congruent to angle 2. This shows that angle 1 and angle 3 are supplementary.
Step-by-step explanation:
Answer:
I can't see it that wel..?m
Do not understand this question
Answer:
A, C
Step-by-step explanation:
You want all the shapes that are enlargements of shape X, which is 1 unit high and 3 units wide.
EnlargementAn enlargement of shape X multiplies each of its dimensions by the same factor. When it is enlarged by a factor of 2, the dimensions become ...
high : wide = 1 : 3 = 2 : 6 . . . . . . matches shape C
When it is enlarged by a factor of 3, the dimensions become ...
high : wide = 1 : 3 = 3 : 9 . . . . . . . matches shape A
The 2-high shape B is too short, being 4 1/2 wide instead of 6. Shape F is too long, being 7 wide instead of 6.
The 3-high shapes D and E are too short, being 8 and 5 wide instead of 9.
__
Additional comment
An enlargement preserves the aspect ratio of the shape, the height to width ratio. Here, that is 1:3. Any shape with a different aspect ratio is not an enlargement of X.
The Lim household paid $45 for electricity usage in a certain month. Find in kWh, the amount of electricity they used in that month if each electricity (in kWh) is charged at $0.20
The Lim household used 225 kWh of electricity in that month. The solution has been obtained by using the arithmetic operations.
What are arithmetic operations?
All real numbers are thought to be adequately described by the four basic operations, often known as "arithmetic operations." The mathematical operations quotient, product, sum, and difference come after division, multiplication, addition, and subtraction.
We are given that the Lim household paid $45 for electricity usage in a certain month and each electricity (in kWh) is charged at $0.20.
Let the electricity used be x.
So, we get an equation as
⇒ 0.20x = $45
Using the division operation, we get
⇒ x = 225 kWh
Hence, the Lim household used 225 kWh of electricity in that month.
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What function is being described Justify each part of your function, explaining how you determined it.
My function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2. It has end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity. The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).
The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.
What is the end behavior of a polynomial function?The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.
The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.
Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.
The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.
The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).
Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.
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HELP SOLVE ASAP
Vanessa needs to rent a car while on vacation. The rental company charges $17.95, plus 18 cents for each mile driven. If Vanessa only has $40 to spend on the car rental, what is the maximum number of miles she can drive? _________________________Miles
Answer:
2 miles.
Step-by-step explanation:
17.95 +17.95= 35.90
You roll a die, winning nothing if the number of spots is odd, $1 for a 2 or a 4, and $10 for a 6.
Round your answers to 3 decimal places (a) Find the expected value and standard deviation of your prospective winnings.
The expected value is
, the standard deviation is
(b) You play twice. Find the mean of your total winnings.
The mean is
Answer: The expected value is 1/6 * 1/2 * 1/3 = 1/36 the standard deviation of 1/36 = 99.7% = 1/36 * 0.997 = 0.0276944444
The mean playing twice = 1/9 =0.111111111
Step-by-step explanation:
to win $10 in one throw = 1/6 to win $1 in one throw = 2/6 and to lose is 1/2 so we have 3 probabilities and 3(3)= 9 probability combinations = 1/2 to lose 1/3 to win $2 and 1/6 to win $10 playing twice = 1/6 * 1/6 = 1/36 or 1/6* 1/2= 1/12 or 1/6 * 1/3 = 1/18 or 1/2 * 1/2 = 1/4 or 1/2 * 1/6 = 1/12 or 1/2 * 1/3 = 1/6 or 1/3 * 1/3 = 1/9 or 1/3 * 1/2 = 1/6 or 1/3 * 1/6 = 1/18 we write a list 1/36+1/12+1/18+1/4+1/12+1/6+1/9+1/6+1/18 /9 = 34/36 + 2/36 = 36/36 = 1 and 1/9 =0.111111111
What is the square root of 598?
the square root of 598 is 24.4540385
-8/9 + (-2)/57
find the absolute value of the following rational number
The absolute value of the Rational number -474/513 is 474/513.
To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:
-8/9 = (-8/9) * (57/57) = -456/513
-2/57 = (-2/57) * (9/9) = -18/513
Now, you can add the fractions:
-456/513 + (-18/513) = (-456 - 18)/513 = -474/513
To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:
| -474/513 | = 474/513
Therefore, the absolute value of the rational number -474/513 is 474/513.
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Evaluate √(13 +2i)^4
Answer:
(165 + 52 i)
Step-by-step explanation:
We are given the expression:
√(13+2i)⁴
the square root can also be written as the power of 1/2
\((13 + 2i)^{4 * 1/2}\)
(13 + 2i)²
(13)² + (2i)² + 2(13)(2i) [(a + b)² = a² + b² + 2ab]
169 + 4(i²) + 52i
169 - 4 + 52i [i² = -1]
(165 + 52 i)
You have a credit card that has a balance of $3850 at an APR of 13.99%. You plan to pay $300 each month in an effort to clear the debt quickly. How many months will it take you to pay off the balance?
Answer:
about 14 months
Step-by-step explanation:
Questions regarding loan payments, values, interest amounts, number of payments, and so on, are conveniently answered by the financial formulas available in many apps, calculators, and spreadsheets. Here, we want to solve for the number of payments.
__
The time-value-of-money app on a TI-84 calculator tells us the number of monthly payments is 13.98. It will take about 14 months to pay off the credit card balance.
__
Alternate solutions
You can also use a graphing calculator to find the time value needed in the amortization formula that corresponds to a monthly payment amount of $300 on a loan of $3850 at 13.99% interest compounded 12 times per year. This is shown in the second attachment.
The algebraic solution is a little messy, and involves logarithms, but you can solve it that way, too.
A = P(r/n)/(1 -(1 +r/n)^(-nt))
gives the monthly payment A on a loan of principal P at annual rate r compounded n times per year for t years. We want to find the value of nt for P=3850, A=300, r=0.1399, n=12.
Putting in the numbers, we get ...
300 = 3850(0.1399/12)/(1 -(1 +0.1399/12)^(-nt))
(1.011658333...)^(-nt) = 0.8503847222... . . . . isolate nt term
nt = -log(0.8503857222...)/log(1.011658333...) ≈ 13.982213...