Answer:
Get a protractor
Step-by-step explanation:
You should have a protractor if you're doing this type of work. Measure the angles with it, and than order them from least to greatest. If you dont have a protractor, ask your parents to get you one ASAP
Write the quadratic equation in standard form: x^2+x=-4x^2+16
Answer
-3\(x^{2}\) +\(x\)+16=0
Step-by-step explanation:
Factor the expression.
(_q^2r+_s^2)(_q^4t^2-6q^2rs^2t+_s^4t^2)
Answer:
2
3
4
9
Step-by-step explanation:
If 5 is added to the square of a number, the result is 30. Find all such numbers,
Answer:
5, -5
Step-by-step explanation:
We have the problem x^2+5=30
Same to both sides
x^2=25
And 25 is a perfect square, x = 5
BUUUUUUUT..........
x could also equal to -5 because no numbers that are squared can be negative
Confused?
Squaring a number means doing the number multiplied by itself
A negative multiplied by a negative equals a positive
A positive multiplied by a positive equals a positive
Under no circumstances can something squared be a negative number
-5*-5 also equals 25.
So those are your two numbers
Let me know if you have any questions
Find x,if (18 / 23) ^4×(18 / 23) ^ −5=(18 / 23)^ 2X+1
Answer:
x=2645/5832 hope that helped
Step-by-step explanation:
Find the median and mean of the data set below:
14, 6, 30, 23, 4,4
Answer:
Median is 10 and mean is 13.5
Will upvote correct answers that show steps.
For the following expressions, indicate the input ranges (or conditions) when there may be significant errors in evaluation. Provide algebraically equivalent terms that would reduce or avoid error.
a. √x + (1/x) - √x - (1/x)
b. 1 - sin x
a. The input range where there may be significant errors in evaluation is when x is very large or very small.
b. The input range where there may be significant errors in evaluation is when x is very close to multiples of π.
For a, In these cases, significant figures may be lost in the subtraction of two nearly equal numbers (√x and -√x, and 1/x and -1/x). To avoid this error, we can simplify the expression to 0.
√x + (1/x) - √x - (1/x) = 0For b, This is because the sine function has a maximum error of 1 in the vicinity of these points, which can cause cancellation errors in the subtraction of 1 and sin x. To avoid this error, we can use the identity:
1 - sin x = (1 - sin x)(1 + sin x)/(1 + sin x) = (cos² x)/(1 + sin x)This expression avoids subtraction and reduces error using the more stable cosine function.
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for a period of time, an island's population growth exponential. if the population doubles every 17 years and the current population is 1,725, what will the population be 10 years from now?
Using the exponential growth formulas, we get the population at 10 years would be 2593.
What is exponential growth?
A process called exponential growth sees a rise in quantity over time. It happens when the derivative of a quantity's instantaneous rate of change with respect to time is equal to the original quantity.
Given Initial population is Pt= 1725.
The doubling time of the population is D=17
Now we need to find the population at time t=10
Using the formula,
\(P_{t}=P_{0} (2)^{\frac{t}{D} } \\P_{t}=1725 (2)^{\frac{10}{17} } \\P_{t}=1725 (2)^{0.588}\\P_{t}=1725 \space\ . \space\ 1.503\\P_{t}=2593\)
Hence the population of the island in 10 years would be 2593.
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what is a2+b2=c2 what formula is this
Amos trevor_frost
Answer:
\(\huge{\boxed{\boxed{\tt { ⎆ \ Pythagorean \ Theorem :-}}}} \ \)
\(a {}^{2} + b {}^{2} = c {}^{2} \)
This is the formula for the pythagorean theorem i.e, one leg of a triangle squared plus another leg of a triangle squared equals the hypotenuse squared.
Answer:
\(a^2+b^2=c^2\) is the formula for the Pythagorean Theorem
Step-by-step explanation:.
The Pythagorean Theorem, also referred to as the ‘Pythagoras theorem,’ is arguably the most famous formula in mathematics that defines the relationships between the sides of a right triangle. This mathematical law states that the sum of squares of the lengths of the two short sides of the right triangle is equal to the square of the length of the hypotenuse.
Thirteen people in the sixth grade are campaigning for the class representative positions. The positions are:
president, vice president, secretary, and treasurer. How many ways can the class choose the
representatives?
Select the Hint button to view a hint.
A 8,648,640
C 154,440
B 1,235,520
D 17,160
The number of ways the class can choose the representatives is 17160.
The correct option is D.
This problem involves selecting a group of four people from a group of thirteen.
There are 13 choices for the first position, 12 choices for the second position, 11 choices for the third position, and 10 choices for the fourth position.
Therefore, the number of ways the class can choose the representatives is:
13 x 12 x 11 x 10 = 17,160
So, the answer is D.
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Answer:
D
Step-by-step explanation:
What is 4 & 1/2 ÷ 1/8
Answer:
36
Step-by-step explanation:
4 1/2 in improper form is 9/2.
9/2 ÷ 1/8 = 36
Hope this helps, thank you !!
Answer:
9/16
Step-by-step explanation:
4 1/2 / 1/8 - 0.5625
0.5625 converted to fraction is 9/16
in a test of the hypotheses, , the calculated p-value is 0.03. what is the decision at the 2% level of significance?
The term "content loaded in a test of the hypotheses" refers to the data and information used to perform the hypothesis test, which in this case resulted in a calculated p-value of 0.03.
Based on the information provided, the calculated p-value of 0.03 is less than the level of significance of 2%. This means that the null hypothesis can be rejected and the alternative hypothesis can be accepted.
Therefore, the decision is to reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis.
The term "content loaded in a test of the hypotheses" refers to the data and information used to perform the hypothesis test, which in this case resulted in a calculated p-value of 0.03.
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A radio was brought for 4000 was sold for 5000 calculate the percentage profit
The Net Profit Margin is given by the next formula:
Profit=(Revenue-Cost)/Revenue
So, in the case of the radio described by the problem, we get that the profit was:
\(\text{Profit}=\frac{(5000-4000)}{5000}=\frac{1}{5}=0.2\)And this expressed in percentage is 20%
Therefore, the percentage profit is 20%
A drone is flown from the ground straight up into the sky, 6 ft to the right of a school building located at the origin. For which values of A, B, and C will Ax+By=C represent the path of the drone?
Answer:
A = 1
B = 0
C = 6
Step-by-step explanation:
A store owner wishes to make a new tea with a unique flavor by mixing black tea and oolong tea. If he has 35 pounds of oolong tea that sells for 2. 40 per pound, how much black tea worth 1. 80 per pound must he mix with it so that he can sell the final mixture for 2. 10 per pound
The store owner needs to mix 35 pounds of back tea.
Let's Assume
x pounds of black tea with the 35 pounds of oolong tea.considering the weighted average of the prices of the individual teas.
The total cost of the oolong tea = 35 * 2.40 = $84.
cost of x pounds of black tea is y dollars
y = 1.80xTo find the total cost of the mixture, we add the cost of the black tea to the cost of the oolong tea:
Total cost = $84 + yThe total weight of the mixture is the sum of the weights of the oolong tea and the black tea:
Total weight = 35 + xTotal cost / Total weight = $2.10
Substituting the values, we get:
($84 + y) / (35 + x) = $2.10
($84 + 1.80x) / (35 + x) = $2.10
To solve for x, we can multiply both sides of the equation by (35 + x):
$84 + 1.80x = $2.10(35 + x)
$84 + 1.80x = $73.50 + $2.10x
$1.80x - $2.10x = $73.50 - $84
-0.30x = -$10.50
Dividing both sides by -0.30, we have:
x = -$10.50 / -0.30
x = 35
Therefore, the store owner needs to mix 35 pounds of black tea .
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List from least to greatest
Answer:
The answer is C
.......
Finding Experimental Probability
A class quiz has 5 True/False questions. The correct answers are T, T, F, F, and T, in that order. John answered the
questions randomly and is now wondering if he will pass the quiz. He needs to have at least 3 correct answers. John
used a calculator to generate random numbers from 1 to 100. He let odd numbers stand for True and even numbers
stand for False. He recorded the results in the table. What is the experimental probability that John passed the quiz?
The experimental probability of John passing the quiz is 1.
What is the experimental probability?To find the experimental probability that John passed the quiz, the recorded results are used.
Given:
John answered the questions randomly.
He generated random numbers from 1 to 100 using a calculator.
Odd numbers represent True (T) and even numbers represent False (F).
The correct answers are T, T, F, F, and T.
The recorded results are given below:
Recorded Results:
True (T)
False (F)
True (T)
False (F)
True (T)
From the recorded results, John answered 3 out of 5 questions correctly.
Since John needs at least 3 correct answers to pass the quiz, it can e concluded that he passed the quiz based on the experimental data.
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One of the legs of a right triangle measures 19 em and its hypotenuse measures 20
cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Find the segment length indicated. Assume that lines which appear tobe tangent are tangent.?1220
Answer:
16
Explanation:
The segment with a length equal to 12 is tangent to the circle, It means that it forms an angle of 90 degrees with the line of the missing length.
So, the formed triangle is a right triangle and we can apply the Pythagorean theorem to solve the question.
Then, since 20 is the hypotenuse of the triangle, we get that the missing side can be calculated as:
\(\text{? = }\sqrt[]{20^2-12^2}\)So, solving the expression, we get:
\(\begin{gathered} \text{? = }\sqrt[]{400-144} \\ \text{? = }\sqrt[]{256} \\ \text{? = 16} \end{gathered}\)Therefore, the segment length is 16.
Jane, ahmad, and miguel served a total of 84 orders monday at the school cafeteria. ahmad served 2 times as many orders as miguel. jane served 8 fewer orders than miguel. how many orders did they each serve?
Miguel served 23 orders, Ahmad served 46 orders, and Jane served 15 orders at the school cafeteria on Monday.
To solve this problem, let's assign variables to represent the number of orders served by each person. Let's say Miguel served x orders.
According to the information given, Ahmad served 2 times as many orders as Miguel, so Ahmad served 2x orders.
Jane served 8 fewer orders than Miguel, so Jane served (x - 8) orders.
The total number of orders served by all three is 84, so we can set up the equation:
x + 2x + (x - 8) = 84
Simplifying the equation, we have:
4x - 8 = 84
Adding 8 to both sides of the equation:
4x = 92
Dividing both sides by 4:
x = 23
Now we can find the number of orders served by each person:
Miguel served 23 orders.
Ahmad served 2 * 23 = 46 orders.
Jane served 23 - 8 = 15 orders.
In conclusion, Miguel served 23 orders, Ahmad served 46 orders, and Jane served 15 orders at the school cafeteria on Monday.
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Find x
Pls help me.
Answer:
109
Step-by-step explanation:
as we can see x is an outer exterior angle and according to its property sum of an interior angle and an outer exterior angle = 180
The interior angle is 40+31 = 71
71 + x = 180
x = 180 -71
therefore x = 109
Select the equation that most accurately depicts the word problem. The perimeter of a rectangle is 68 inches. The perimeter equals twice the length of L inches, plus twice the width of 9 inches.
68 = 9L + 2
68 = L/2 + 2(9)
68 = 2/L + 2/9
68 = 9(L + 2)
68 = 2L + 2(9)
68 = 2(L - 9)
Answer:
68 = 2L + 2(9)
Step-by-step explanation:
Just write down exactly what it says!
The perimeter of a rectangle is 68 inches
68
The perimeter equals twice the length of L inches
68 = (2 × L)
Plus twice the width of 9 inches.
68 = (2 × L) + (2 × 9)
Now just clean up the equation.
68 = 2L + (2 × 9)
68 = 2L + 2(9)
The answer is 68 = 2L + 2(9).
Two students rented instruments from the same music store. They paid the same total amount for their rentals. The first student rented an instrument for 9 months and spent $18 on a one-time fee. The second student rented an instrument for 12 months and spent $6 on a one-time fee. Both students paid the same rental fee per month for their instruments. What is the rental fee, in dollars, per month?
Answer:
Step-by-step explanation:
Find the distance beetween 4, -3 and 4,2
Answer:
5
I hope this helps!
Answer:distance beetween 4, -3 =-7 distance beetween 4,2=2
(6x³)²Type your answer using exponential notation. Simplify your answer.)
6x^6
steps
multiply the exponents
An alloy contains 13. 5 gms of copper and 4. 5 gms of zinc. Find the ratio by mass of copper to zinc in the alloy
The ratio by mass of copper to zinc in the alloy is 3:1.
To find the ratio by mass of copper to zinc in the alloy, we need to first calculate the total mass of the alloy. We can do this by adding the mass of copper and zinc:
Total mass of alloy = 13.5 g + 4.5 g = 18 g
Now we can find the ratio of copper to zinc by dividing the mass of copper by the mass of zinc:
Ratio of copper to zinc = 13.5 g / 4.5 g = 3:1
Therefore, the ratio by mass of copper to zinc in the alloy is 3:1.
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Which rule explains why these scalene triangles are similar?
A. SSS
B. SAS
C. AA
D. None of the above; the triangles cannot be proven similar
Answer:
D. none of the above
Step-by-step explanation:
no side lengths given
no angles are the same in both triangles
A trapezoid with a height of 8 ft base measuring 11 ft has an area of 112ft find the length of the other base
Answer:
1.27272727273 I think
Step-by-step explanation:
find a power series representation for the function f(x)=xsin(4x)
The power series representation for the function f(x) = x sin(4x) can be found as follows:
Firstly, we can find the power series representation of sin(4x) using the formula for the sine function:$
$\sin x = \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)!}x^{2n+1}$$
Substitute 4x for x to obtain:$$\sin 4x
= \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)!}(4x)^{2n+1}
= \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)!}4^{2n+1}x^{2n+1}$$
Multiplying this power series by x gives:
$$x\sin 4x
= \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)!}4^{2n+1}x^{2n+2}$$
Therefore, the power series representation for the function
f(x) = x sin(4x) is:$$f(x)
= x\sin 4x
= \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)!}4^{2n+1}x^{2n+2}$$
Therefore, the power series representation for the function f(x) = x sin(4x) is:$$f(x) = x\sin 4x = \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)!}4^{2n+1}x^{2n+2}$$
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State if the triangles in each pair are similar. If so, state how you know they are similar and complete the similarity statement.
Thank you!
Answer: Similar by SAS, and ABC ~ AVU
Step-by-step explanation:
AV = 77 - 66 = 11
AU = 42 - 36 = 6
6/36 = 1/6
11/66 = 1/6
Therefore, these two triangles ABC and AVU are similar by SAS similarity.
ABC ~AVU :>
|3n – 6| = 6
absolute value equation
Answer:
\(n=\{0,\: 4\}\)
Step-by-step explanation:
\(|3n-6| = 6\\\therefore 3n - 6 = \pm 6\\\therefore 3n = 6 \pm 6\\\therefore 3n =6+6\:\: or\:\: 3n = 6-6\\\therefore 3n =12\:\: or \:\:3n = 0\\\\\therefore n =\frac{12}{3}\:\: or\:\: n =\frac{0}{3}\\\\\therefore n = 4 \:\: or\:\: n = 0\\\\\therefore n=\{0,\: 4\}\\\)