Answer:
x=35
obtuse scalene triangle
Step-by-step explanation:
All angles in a triangle add up to 180°.
\(3x-5+x+10+x=180\)
\(5x+5=180\)
\(5x=175\)
\(x=35\)
So, x=35.
When we plug in x to each angle, we see that the 3x-5 angle is above 90°, and all of the angles are different. So, this is an obtuse scalene triangle.
test for an association between handeness and career for these 5 professions. state the null and alternative hypothesis
Null Hypothesis: There is no association between handedness and career for Accountants. And Alternative Hypothesis: There is an association between handedness and career for Accountants.
Profession 1: Lawyer
Null Hypothesis: There is no association between handedness and career for Lawyers.
Alternative Hypothesis: There is an association between handedness and career for Lawyers.
Profession 2: Pilot
Null Hypothesis: There is no association between handedness and career for Pilots.
Alternative Hypothesis: There is an association between handedness and career for Pilots.
Profession 3: Accountant
Null Hypothesis: There is no association between handedness and career for Accountants.
Alternative Hypothesis: There is an association between handedness and career for Accountants.
Profession 4: Nurse
Null Hypothesis: There is no association between handedness and career for Nurses.
Alternative Hypothesis: There is an association between handedness and career for Nurses.
Profession 5: Teacher
Null Hypothesis: There is no association between handedness and career for Teachers.
Alternative Hypothesis: There is an association between handedness and career for Teachers.
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Use the Leading Coefficient Test to determine the end behavior of the graph of each polynomial function.
The correct answer is a. -∞, f(x) → -∞; x → ∞, f(x) → ∞b. -∞, f(x) → -∞; x → ∞, f(x) → ∞c. -∞, f(x) → -∞; x → ∞, f(x) → ∞d. -∞, f(x) → -∞; x → ∞, f(x) → -∞
For the polynomial function f(x) = 6x^5 + 7x^2 + 7x + 9, the leading coefficient is 6 (the coefficient of the highest-degree term). The degree of the polynomial is 5, which is odd.
According to the Leading Coefficient Test, when the degree of the polynomial is odd and the leading coefficient is positive (in this case, positive 6), the end behavior of the graph is as follows:
- As x approaches negative infinity (-∞), f(x) approaches negative infinity (-∞).
- As x approaches positive infinity (∞), f(x) approaches positive infinity (∞).
For the polynomial function f(x) = 61x^11 + 7x^2 + 2x + 8, the leading coefficient is 61 (the coefficient of the highest-degree term). The degree of the polynomial is 11, which is odd.
Using the Leading Coefficient Test, we can determine the end behavior:
- As x approaches negative infinity (-∞), f(x) approaches negative infinity (-∞) since the leading coefficient is positive.
- As x approaches positive infinity (∞), f(x) also approaches positive infinity (∞) due to the same reason.
For the polynomial function f(x) = 5x^8 + 3x^2 + 2x + 9, the leading coefficient is 5 (the coefficient of the highest-degree term). The degree of the polynomial is 8, which is even.
Applying the Leading Coefficient Test:
- As x approaches negative infinity (-∞), f(x) approaches positive infinity (∞) because the leading coefficient is positive.
- As x approaches positive infinity (∞), f(x) also approaches positive infinity (∞) for the same reason.
For the polynomial function f(x) = -2x^8 + 6x^2 + 4x + 9, the leading coefficient is -2 (the coefficient of the highest-degree term). The degree of the polynomial is 8, which is even.
Using the Leading Coefficient Test:
- As x approaches negative infinity (-∞), f(x) approaches negative infinity (-∞) since the leading coefficient is negative.
- As x approaches positive infinity (∞), f(x) approaches negative infinity (-∞) due to the same reason.
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please help me with this please i need the amswers for today,
The coordinates of each points are:
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
We have,
The coordinates of each point are in an ordered form.
i.e
(x, y)
x is the x-axis value.
y is the y-axis value.
Thus,
A = (-0.5, -5)
B = (0.8, -1.8)
C = (-2.6, -2.2)
D = (-1.5, -8.9)
E = (2.5, -6.5)
F = (-1.5, 3.1)
G = (-2.4, 4.1)
H = (1.5, 3)
I = (2.7, 1.5)
J = (-1.5, 0)
K = (-6.5, 0)
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Does the series converge or diverge? If it converges, what is the sum? Show your work.
Step-by-step explanation:
This is a geometric series where our common ratio is -1/2, and a is -4
Since r is less than -1, this series converges so
The sun is
\( \frac{ - 4}{1 + 0.5} \)
\( \frac{ - 4}{1.5} = - \frac{8}{3} \)
The sum is -8)3
Solve for x Write both solutions, seperated by a comma 4x^2+5x+1=0
Answer:
-1/4 , -1
Step-by-step explanation:
I solved it using Factorization method and Quadratic Equation .
Factorization Method
\(4x^2+5x+1=0\\Write +5x- as- a -difference(write+5x-using- two- numbers -in-which-their-sum-is ; 5-and-their-product-is ; 4)\\4x^{2} +4x+1x+1=0\\Factorize-out-common-terms\\4x(x+1)+1(x+1)=0\\Factor-out-(x+1)\\(4x+1)(x+1)=0\\4x+1 =0 \\x+1=0\\4x=0-1\\x =0-1\\4x =-1\\x =-1\\4x=-\frac{1}{4} \\\\Answer = -1/4 , -1\)
Quadratic Equation
\(4x^2+5x+1=0\\a = 4\\b =5\\c = 1\\\\x =\frac{-b\±\sqrt{b^2 -4ac} }{2a} \\\\x = \frac{-(5)\±\sqrt{(5)^2-4(4)(1)} }{2(4)} \\\\x = \frac{-5\±\sqrt{25-16} }{8} \\\\x = \frac{-5\±\sqrt{9} }{8} \\\\x = \frac{-5\±3}{8} \\\\x =\frac{-5+3}{8} \\\\x = \frac{-5-3}{8} \\\\x = \frac{-2}{8} \\\\x = \frac{-8}{8} \\\\x = -\frac{1}{4} \\x=-1\)
B. The difference between the cash price and the initial deposit in hire purchase is known as ?
Hire Purchase agreement
\({correct me if i am wrong}}\)
The difference between the cash price and the initial deposit in hire purchase is known as \(_\( \text{Principal} \)_\).
In hire purchase transactions, buyers can acquire goods by making an initial down payment and paying the remaining amount in installments. The difference between the total cost of the item and the initial deposit is a crucial concept known as the \(_\( \text{Principal} \)_\) in mathematical terms. Let's explore this in detail.
In the context of hire purchase, the total cost of the item is often referred to as the cash price. It represents the actual value of the item without considering any interest or finance charges. On the other hand, the initial deposit, also called the down payment, is the amount paid upfront by the buyer to secure the item.
Now, let's introduce some variables to help us understand this concept mathematically:
- Let CP be the cash price of the item.
- Let D be the initial deposit made by the buyer.
The difference between the cash price and the initial deposit is given by:
\(\[ \text{Principal} = CP - D \]\)
The Principal is the amount that remains to be paid off in installments, and it serves as the basis for calculating the subsequent monthly or periodic payments in a hire purchase agreement.
The Principal is critical because it determines the total amount the buyer will end up paying for the item. It also affects the duration of the hire purchase agreement, as the buyer's installments are typically spread over a specific number of months or years.
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Can you help me with this question?
Thanks!
Answer: 11 people like vanilla.
Step-by-step explanation: There are 50 people in this question. Since 22% of them like vanilla, multiply 0.22 and 50. That gives you 11. Therefore, 11 people out of 50 like vanilla.
PLEASE HELP WILL MARK BRAINLIEST!
A portion of the quadratic formula proof is shown. Fill in the missing statement.
Answer: THE ANSWER IS 3 BECAUSE I HAD THIS TEST
RATE BRAINLIEST PLEASE
Step-by-step explanation:
Arrivals at a parking lot are assumed to follow the Poisson distribution. The average arrival rate is 2.8 per minute. What is the probability that during a given minute no cars will arrive
Answer:
\(P(x = 0) = 0.061\)
Step-by-step explanation:
Given
\(Average = 2.8\)
Required
Determine the probability that no car will arrive.
Since it is a Poisson distribution, the required probability is:
\(P(x) = \frac{e^{-m}m^x}{x!}\)
Where
\(m = average = 2.8\)
In this case;
\(x = 0\)
So:
\(P(x) = \frac{e^{-m}m^x}{x!}\)
\(P(x = 0) = \frac{e^{-2.8}2.8^0}{0!}\)
\(P(x = 0) = \frac{e^{-2.8}*1}{1}\)
\(P(x = 0) = e^{-2.8}\)
\(P(x = 0) = 0.06081006262\)
\(P(x = 0) = 0.061\) --- Approximated
- Algebraically find the x-coordinates where the line y = 2x – 3 intersects the circle (x – 3)' +(y+1)* = 68.
-12 plus what equals -0.75?
PLZZ HELP THIS IS DUE IN 10 MINS
Answer:
-12 + 0.35
Step-by-step explanation:
i tried XD
Answer:
11.25
Step-by-step explanation:
-12+x= -0.75
+12 +12
x=11.25
-12+11.25= -0.75
pls help me with this
Option C is the table of values representing a proportional relationship in the context of this problem.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:
y = kx.
The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.
For item c, we have that the output is equals to the input, hence the proportional relationship is given as follows:
y = x.
Missing InformationThe problem asks for which table represents a proportional relationship.
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The number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9 is what
. The probability that both the first digit in the last digit of the three digit number are even numbers is what
The requried, probability that both the first digit in the last digit of the three-digit number is even numbers is 20%.
To count the number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9, we can use the permutation formula:
P(n, r) = n! / (n-r)!
In this case, we have n = 6 (since we have 6 digits to choose from) and r = 3 (since we want to form three-digit numbers). Using the formula, we get:
P(6, 3) = 120
We can choose the first digit in two ways (2 or 8), and we can choose the last digit in three ways (2, 8, or 6). For the middle digit, we have four digits left to choose from (1, 3, 5, or 9), since we cannot repeat digits. Therefore, the number of three-digit numbers with distinct digits that have an even first and last digit is:
2 x 4 x 3 = 24
The total number of three-digit numbers with distinct digits is 120, so the probability that a randomly chosen three-digit number with distinct digits has an even first and last digit is:
24/120 = 0.2 or 20%
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Which is longer 5 meters or 400 millimeters?
a. 400 millimeters
b. 5 meters
c. both a and b are correct.
d. both a and b are incorrect
Answer:
b. 5 meters
Step-by-step explanation:
1 meter = 1000 millimeters
5 meter = 5000 millimeters
Which is longer 5 meters or 400 millimeters?
5000 > 400
So, the answer is b. 5 meters.
Solve the equation z^4+4z^2+16=0
Answer:
As this is a quartic equation, we should expect four roots (although some may end being repeated). Notice also that the equation is symmetrical, which suggests that there might be an element of symmetry in the answer.
First, as this equation is a quadratic in terms of z2 , we can use our formula for finding the roots of a quadratic equation to give the value(s) of z2 . [If you have a problem seeing this, use the substitution y=z2 , and you get a quadratic in y .]
z2=−4±42−4×1×16√2×1=−4±16−64√2
=−4±−48√2=−2±12−−√i=−2±23–√i
=4(−12±3√2)i
=4(cos(2kπ3)+isin(2kπ3)) , where k∈1,2
=4e2kiπ3
As this is the value of z2 , whereas we want z , we need to take the square roots of both sides
z=4–√ekiπ3+nπ , where n∈0,1
=2e(k+3n)iπ3
=2cis((k+3n)iπ3)
As we have two values of k and two values of n , this gives us four solutions.
Writing these angles in terms of degrees, we have: 60, 120, 240 and 300
Evaluating, we end up with the four solutions
z=1±3–√i∪z=−1±3–√i
You can substitute z^2 = x,
Then you get x^2+4x+16=0
Step-by-step explanation:
z=1±3–√i∪z=−1±3–√i
You can substitute z^2 = x,
Then you get x^2+4x+16=0
Then you can use classical x1,2 = (-b +- √[b^2–4ac])/2a
X1,2=(-4+-√[16–16*4])/2
After you solve that you substitute back z^2 = x
Determine the quotient. Write your answer in scientific notation.
(26.4 x 10-3) (13.2 × 104)
2 x 10-0.75
2 x 101
2 x 10-7
2 x 10-12
The Scientific Notation is 3.583008 x \(10^5\) and quotient is 358300.8
Given,
In the question:
(26.4 x 10-3) (13.2 × 104)
Determine the quotient and write the answer in scientific notation.
Now, According to the question:
(26.4 x 10-3) (13.2 × 104)
Calculate the product or quotient.
(264 - 3) x (13.2 x 104)
(264 - 3) x 1372.8
calculate the sum or difference
261 x 1372.8
= 358300.8
Hence, The Scientific Notation is 3.583008 x \(10^5\) and quotient is 358300.8
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What is the product of the rational expressions below?
7XX-1
X + 2 X-2
.
A. 7x-7%
021-4
B. 72-7
2x
7X247
C. ***
D. ZX-1
SUBMIT
The product of the rational expressions given is; (7x²-7x)/(x²-4)
How to get product of rational expressionThe given rational expressions are;
7x/(x+2) and (x-1)/(x-2)Hence, the product of the two Rational Expressions can be evaluated as follows;
For numerator; 7x(x-1) = 7x² -7xFor denominator; (x+2) (x-2) = (x²-4)The product of the rational expressions given is therefore; (7x²-7x)/(x²-4)
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The group of individuals fitting a description is the _____
A.census
B.sample
C.parameter
D.population
The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.
What is population?The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.
There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.
Therefore, the correct option is D
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See full text below
A group of individuals fitting a description is the _____
Which of the term below fit the description above.
A.census
B.sample
C.parameter
D.population
David created two functions. Function A can be represented by y=3/4x +2. Function be is represented by the graph below.
Answer:
can you insert an image?
Step-by-step explanation:
Arrange the steps in order to simplify the expression
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
Identify all values of x
Step-by-step explanation:
(x - 3)/x = -8/(x + 3) , x ≠ 0 or -3
(x - 3)(x + 3) = -8x
x² - 9 = -8x
x² + 8x - 9 = 0
x² + 9x - x - 9 = 0
x(x + 9) - 1(x + 9) = 0
(x + 9)(x - 1) = 0
x = -9
x = 1
x ≠ 0 or -3
-9 ≠ 0 or 3 PROVED
x ≠ 0 or -3
1 ≠ 0 or -3 PROVED
Value of x is -9 and 1On a map, the scale shown is 1 inch : 5 miles. If
a wildlife refuge is 50 square miles, what is the
area of the refuge on the map?
Use the proportion to solve for x.
1 in. 2
25 mi2
x in. ²
50 mi²
Cross
multiplication
can help!
=
The area of the wildlife refuge is [?] square
inches on the map.
Enter
Answer:
Step-by-step explanation:
6
Jimmy's lunch box in the shape of a half cylinder on a rectangular box.
Find the total volume of metal needed to manufacture it
Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts
Step-by-step explanation:
how many times does 8 go into 11
Answer:
8 goes into 11 one time with a remainder of 3
A more clear view of the graph.
Answer:
Hi! The slope is -3/2
Y intercept 2.5
(0,2.5)
Step-by-step explanation:
I hope this helps!
Answer:
The slope is \(\frac{-3}{2}\)
The y - intercept is 2 1/2
The y-intercept point is (0, 2 1/2)
Step-by-step explanation:
If you start at the point on the left to get to the lower point on the right, you need to go down 3 units and to the right 2 units. This is the slope. Going down represents a negative number and going right represents a positive number. The slope is \(\frac{-3}{2}\)
The y -intercpet is where the graph is cross the y axis. It looks like it is crossing between 2 and 3. So, 2 1/2 is a good estimate. Actually, I did calculate the y-intercept and it is in fact 2 1/2.
The point of the y-intercept is when x = 0
(0, 2 1/2)
Helping in the name of Jesus.
A group of cyclists recorded the distance they have traveled.
Draw a line plot and answer the questions below.
Name
Gina
Rey
Faye
Mark
John
James
Albert
William
Nathan
Kate
Mary
Risa
Paul
Abi
Joan
Distance in
miles
40 1/2
50
35 3/4
60
45
55 1/4
60
45
40 1/2
50
45
40 1/2
60
40 1/2
35 3/4
Title:
1. How many cyclists were there?
2. What was the longest distance traveled?
3. How many cyclists traveled less than 50 miles?
4. What was the most common distance traveled by
the cyclists?
5. How many more cyclists traveled 45 miles than
55 1/4 miles?
6. How many cyclists traveled more than 45 miles
A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.
A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.
The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.
Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.
Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.
A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.
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When you buy a certificate of deposit (CD), you are investing your money in an account that earns interest for a specific period of time. A CD matures when it has been invested for the required amount of time.
Assume that you have $2000 to invest in a 2-year CD with an APR of 2.5% compounded daily. When the CD matures, how much interest will you have earned? Round your result to the nearest cent.
The interest after twο years is $102.54.
What is cοmpοund interest?The interest that is caIcuIated using bοth the principaI and the interest that has accrued during the previοus periοd is caIIed cοmpοund interest. It differs frοm simpIe interest in that the principaI is nοt taken intο accοunt when determining the interest fοr the subsequent periοd with simpIe interest.
Here the principaI p = $2000
Number οf years = 2
rate οf interest = 2.5% = 0.025
Nοw using cοmpοund interest fοrmuIa , then
=> Amοunt = P \((1+\frac{r}{n})^{nt}\)
=> Amοunt = 2000\(\times(1+\frac{0.025}{365})^{365\times2}\)
=> Amοunt = \(2,000\times(1 + 6.8493150684932E-5)^{(730)\)
=> Amοunt = $2,102.54
Then interest = Amοunt - principal
=> interest = 2102.54 - 2000.00 = $102.54
Hence the interest after twο years is $102.54.
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The length of the line?
Answer:c
Step-by-step explanation:
Answer:
\(\sqrt{136}\)
Step-by-step explanation:
Use the Pythagorean Theorem!
M
Check all that apply.
The angles that we have in the image here are:
supplementary angleright angleWhat is a supplementary angle?When two angles are measured, they sum up to 180. They are said to be supplementary angles.
On the question, we have two angles that are 90 degrees on a straight line. Hence they are supplementary.
What is a right angle
This is an angle that is at 90 degrees. We have to two right angles on the diagram that we have here.
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What is the meanng of Pi?
Answer:
The circumference of a circle is divided by the diameter of that circle. PI
Step-by-step explanation:
Hope this helps you!!!! :D