Answer:
18
Step-by-step explanation:
Each exterior angle is the supplement of the adjacent interior angle, so is ...
180° -160° = 20°
The total of all n of these exterior angles is 360°, so we have ...
n(20°) = 360°
n = 18 . . . . . . . . . divide by 20°
The polygon is an 18-gon. It has 18 sides.
Answer:
18 Sides
Step-by-step explanation:
Each interior angle = 160°
Each exterior angle = 180° - 160° = 20°
The sum of the exterior angles = 360°
Hence the number of exterior angles =360°/20°
= 18
The polygon has 18 sides (since it has 18 exterior angles).
Hope this helps.
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Choose two statements that are true for this expression.
5x3 – 6x2
25
y
+ 18
25
O A. The term
is a ratio.
B. There are three terms.
C. The entire expression is a difference.
O D. There are four terms.
Answer:
Step-by-step explanation:
I'm having difficulty reading your input: 25, y, + 18, 25. Please clarify your meaning.
5x3 – 6x2 is a polynomial expression with two terms.
The term is a ratio. False. See above.
The entire expression is a difference. True.
There are four terms. False. See above.
Two statements B and C are true for the expression 5x3 – 6x2 25y+ 18
How many options are correct for given expressio?
A. The term is a ratio. False
B. There are three terms.terms. True
C. The entire expression is a difference. True
D. There are four terms. False
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Assume that when adults with smartphones are randomly selected, 57% use them in meetings or classes. If 8 adult smartphone users are randomly selected, find the probability that exactly 4 of them use their smartphones in meetings or classes. The probability is
Answer:
≈ 0.2526
Step-by-step explanation:
The number of combinations of 4 out of 8:
8C4 = 8!/(4!(8-4)!)= 8*7*6*5/(1*2*3*4)= 70Success factor is:
57% = 0.57and failure factor is:
(100 - 57)%= 43%= 0.43Probability:
0.57⁴*0.43⁴*70 ≈ 0.2526I need help with these
Answer:
2. 20 oranges
3. 18 yellow tulips
4. 23 students
 evaluate the expression for r=-10 -54-r=
Answer:
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.
Step-by-step explanation:
Evaluate Algebraic Expressions. ... To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.
Design a nonlinear system that has at least two solutions. One solution must be the ordered pair: (-2, 5). Tell how you came up with your system and give the entire solution set for the system.
Answer:
[tex] \begin{cases} (x - 2)^2 + (y - 2)^2 = 25 \\ y = 5 \end{cases} [/tex]
Solutions: x = 6, y = 5 or x = -2, y = 5
Step-by-step explanation:
Use a graph.
Plot point (-2, 5). That will be a point on a circle with radius 5.
From point (-2, 5), go right 4 and down 3 to point (2, 2). (2, 2) is the center of the circle.
You now need the equation of a circle with center (2, 2) and radius 5.
Use the standard equation of a circle:
[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]
where (h, k) is the center and 5 is the radius.
The circle has equation:
[tex] (x - 2)^2 + (y - 2)^2 = 25 [/tex]
To have a single solution, you need the equation of the line tangent to the circle at (-2, 5), but since you want more than one solution, you need the equation of a secant to the circle. For example, use the equation of the horizontal line through point (2, 5) which is y = 5.
System:
[tex] \begin{cases} (x - 2)^2 + (y - 2)^2 = 25 \\ y = 5 \end{cases} [/tex]
To solve, let y = 5 in the equation of the circle.
(x - 2)^2 + (5 - 2)^2 = 25
(x - 2)^2 + 9 = 25
(x - 2)^2 = 16
x - 2 = 4 or x - 2 = -4
x = 6 or x = -2
Solutions: x = 6, y = 5 or x = -2, y = 5
An example of a nonlinear system that has at least two solutions, one of which is (-2,5) are,
⇒ x² + y² = 29
⇒ 3x + 4y = -2
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, This system by starting with the equation of a circle centered at the origin with radius sqrt(29), which is,
⇒ x² + y² = 29.
Then, Added a linear equation that intersects the circle at (-2,5) to create a system with two solutions.
The entire solution set for this system is: (-2, 5) and (7/5, -19/10)
Thus, An example of a nonlinear system that has at least two solutions, one of which is (-2,5) are,
⇒ x² + y² = 29
⇒ 3x + 4y = -2
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The polynomial P(x) = 5x2(x − 1)3(x + 9) has degree ____ It has zeros 0, 1, and ____ The zero 0 has multiplicity ____ , and the zero 1 has multiplicity ____
The complete question is;
The polynomial P(x) = 5x²(x − 1)³(x + 9) has degree ____. It has zeros 0, 1, and ____. The zero 0 has multiplicity ____ , and the zero 1 has multiplicity ____
Answer:
A) degree = 6
B) -9 is also a zero of the polynomial
C) 0 has multiplicity of 2
1 has multiplicity of 3
Step-by-step explanation:
A) To find the degree of the polynomial, we will first have to identify each term [term is for example (x - 1)³]. Thus, to find the degree of each term we will add the exponents.
The terms are;
5x², (x - 1)³, (x + 9)
The exponents are, 2, 3 and 1 respectively.
Thus, degree = 2 + 3 + 1 = 6
B) A zero of a polynomial is the value of x that causes the polynomial function to equal 0.
Since 0 and 1 are zeros, looking at the polynomial P(x) = 5x²(x − 1)³(x + 9), we can tell that when the term which when x = 0 makes the polynomial 0 is 5x².
Similarly, the term which when x = 1 makes the polynomial 0 is (x - 1)³
Thus,we are left with the term (x + 9)
So for the polynomial to be zero, (x + 9) = 0
Thus,x = -9
So -9 is a zero of the polynomial
C) The zero 0 is from the term 5x².
Thus,the multiplicity is the highest power of x which is 2.
The zero 1 is from the term (x - 1)³. Thus, the multiplicity is the highest power of x which is 3
The triangle shown on the graph above is rotated 90 degrees clockwise about the original to form triangle P’Q’R which of the following are the (x,y) coordinates of the point P’
Hey there! I'm happy to help!
When rotating a point 90 degrees clockwise about the origin, our original point (x,y) becomes (-y,x), because it is now at a negative y-value.
We see that our point P is at (1,2). We can use this rotation formula to find the coordinates of P' (the new spot where P is)/
(x,y)⇒(-y,x)
(1,2)⇒(-2,1)
Therefore, the coordinates of the point P' are (-2,1).
Have a wonderful day! :D
simplify the expression 10 divided by 5 times 3
Answer:
= 2/3
Step-by-step explanation:
10 / (5*3)
= 10/15
= 2/3
1. What is the value of (1/2)^3?
O A. 76
O B. 119
O C.12
O D. 18
Answer:
1/2 to the power of 3= 1/8
Step-by-step explanation:
1/2*1/2=1/4
1/4*1/2=1/8
d?
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{(\dfrac{1}{2})^3}[/tex]
[tex]\mathsf{= \dfrac{1}{2}^3}[/tex]
[tex]\mathsf{= \dfrac{1}{2} \times \dfrac{1}{2} \times \dfrac{1}{2}}[/tex]
[tex]\mathsf{= \dfrac{1 \times 1 \times 1}{2 \times 2 \times 2}}[/tex]
[tex]\mathsf{\mathsf{= \dfrac{1 \times 1} {4 \times 2}}}[/tex]
[tex]\mathsf{= \dfrac{1}{8}}[/tex]
[tex]\huge\text{Therefore your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{Option\ D.\ \dfrac{1}{8}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Look at the picture
Answer:
f(x) = {x^2 if x = (-inf , 2) , y = 5 if x [2, 4).
Step-by-step explanation:
First, we look at the quadratic. Luckily, it's only x^2. Putting in the range, we have f(x) = x^2 if x < 2, or (-inf, 2).
Then, we have the line. This is the line of y = 5, and the range is if 2 [tex]\leq[/tex] x < 4, or [2, 4).
Find the volume of the solid. When appropriate, use π=3.14 and round your answer to the nearest hundredth.
Answer:
3179.25
Step-by-step explanation:
Hello!
To find the volume of a cylinder we use the equation
[tex]V = \pi r^{2} h[/tex]
V is volume
r is radius
h is height
Put in what we know. It is says to use pi as 3.14
[tex]V = 3.14 * 7.5^{2} *18[/tex]
Solve
V = 3.14 * 56.25 * 18
V = 3179.25
Hope this Helps!
What is the factorization of the polynomial below? 9x^2+12x+4
Answer:
(3x+2)^2
Step-by-step explanation:
A kites string is fastened to the ground. the string is 324ft long and makes an angle of 68 degrees with the ground. A model of this is shown below. use the law of sites (sin A/a=sin B/b) to determine how many feet the kite is above the ground (x). Enter the value, rounded to the nearest foot. (PLEASE)
Answer:
x = 300 feet
Step-by-step explanation:
In the given right triangle,
Length of the string of the kite = 324 feet
Angle between the string and the ground = 68°
By applying law of Sines in the given right triangle,
[tex]\frac{\text{SinA}}{a}=\frac{\text{SinB}}{b}=\frac{\text{SinC}}{c}[/tex]
Now we substitute the values of angles and sides in the formula,
[tex]\frac{\text{Sin68}}{x}=\frac{\text{Sin90}}{324}[/tex]
[tex]\frac{\text{Sin68}}{x}=\frac{1}{324}[/tex]
x = 324 × Sin(68)°
x = 300.41 feet
x ≈ 300 feet
Therefore, measure of side x = 300 feet will be the answer.
The value of y varies jointly with x and z. If y = 2 when z = 110 and x = 11, find the approximate value of y when x = 13 and z = 195.
Answer:
y = 4Step-by-step explanation:
To find the approximate value of y when
x = 13 and z = 195 we must first find the relationship between them
The statement
y varies jointly with x and z is written as
y = kxzwhere k is the constant of proportionality
From the question
y = 2
x = 11
z = 110
We have
2 = 11(110)k
2 = 1210k
Divide both sides by 1210
[tex]k = \frac{1}{605} [/tex]
So the formula for the variation is
[tex]y = \frac{1}{605} xz[/tex]
When
x = 13
z = 195
y is
[tex]y = \frac{1}{605} (13)(195)[/tex]
[tex]y = \frac{507}{121} [/tex]
y = 4.1900
We have the final answer as
y = 4Hope this helps you
A researcher examines typing speed before a typing class begins, halfway through the class, and after the class is over. 4. Identify the number of levels: 5. Identify the type of design: 6. Identify the dependent variable:
Answer:
Number of levels = 2
Type of design = Repeated measure
Dependent variable = Typing Speed
Step-by-step explanation:
The number of levels in an experiment simply refers to the number of experimental conditions in which participants are subjected to. In the scenario above, the number of levels is 2. Which are ; Halfway through the class and After the class is over.
The type of designed employed is REPEATED MEASURE, this is because the participants all took part in each experimental condition.
The dependent variable is TYPING SPEED, which is the variable which is measured with respect to the independent variable. Hence the observed value depends on period that is (halfway through the class or after the class is over).
A sample of 36 observations is selected from one population with a population standard deviation of 4.2. The sample mean is 101.5. A sample of 50 observations is selected from a second population with a population standard deviation of 5.0. The sample mean is 100.1. Conduct the following test of hypothesis using the 0.10 significance level.H0 : μ1 = μ2H1 : μ1 ≠ μ2a. This is a_________tailed test.b. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)The decision rule is to reject H0 if z is ___________the interval.c. Compute the value of the test statistic. (Round your answer to 2 decimal places.) Value of the test statistic d. What is your decision regarding H0?e. What is the p-value? (Round your answer to 4 decimal places.)
Answer:
Step-by-step explanation:
Given that :
the null and the alternative hypothesis are computed as :
[tex]H_o: \mu_1 = \mu_2[/tex]
[tex]H_a : \mu _1 \neq \mu_2[/tex]
This is a two tailed test
This is because of the ≠ sign in the alternative hypothesis which signifies that the rejection region in the alternative hypothesis are at the both sides of the hypothesized mean difference .
Decision Rule: at the level of significance ∝ = 0 . 10
The decision rule is to reject the null hypothesis if z < - 1 . 64 and z > 1 . 64
NOTE: DURING THE MOMENT OF TYPING THIS ANSWER THERE IS A TECHNICAL ISSUE WHICH MAKES ME TO BE UNABLE TO SUBMIT THE FULL ANSWER BUT I'VE MADE SCREENSHOTS OF THEM AND THEY CAN BE FOUND IN THE ATTACHED FILE BELOW
Given there are 26 alphabets in the English language, how many possible three-letter words are there?
We have 26 letters and 3 slots to fill. We can reuse a letter if it has been picked, so we have 26^3 = 26*26*26 = 17,576 different three letter "words". I put that in quotes because a lot of the words aren't actual words, but more just a sequence of letters.
Someone help again:/
Write the phrase "the product of 19 and a number" as a mathematical expression.
A 19 + x
B) 19/x
C) 19 x
(D) 19 -x
Answer:
19x
Step-by-step explanation:
product means multiply
19*x
19x
Answer:
The answer is C.
Step-by-step explanation:
if a number and a variable are next to each other, it is assumed they will be multiplied.
Simplify (x + 4)(x2 − 6x + 3). x3 − 14x2 + 3x + 12 x3 − 6x2 − 17x + 12 x3 − 10x2 − 27x + 12 x3 − 2x2 − 21x + 12
Answer:
36 x^3 - 32 x^2 + (x + 4) (x^2 - 6 x + 3).x^3 - 62 x + 12
Step-by-step explanation:
Answer:
x^6-2x^5-21x^4+48x^3-32x^2-62x+12
Step-by-step explanation:
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1. If a bug can flap its wings at a rate of 92 times in 6 seconds, how many times do they flap their wings in 2.34 minutes? Round to 1 decimal.
Answer:
2152.8
Step-by-step explanation:
First, 2.34 minutes is 140.4 seconds. Next, the bug can flap its wings at a pace of 15.333..... flaps per second. Multiplying this, we get 2152.8
If the item regularly cost d dollars and is discounted 12percent which of the following represents discount price dollar
Answer:
-12
Step-by-step explanation:
Which statement about this function is true?
O A.
The value of a is positive, so the vertex is a minimum.
OB.
The value of a is negative, so the vertex is a minimum.
OC.
The value of a is negative, so the vertex is a maximum.
OD
The value of a is positive, so the vertex is a maximum.
Answer:
b
Step-by-step explanation:
The value of a is negative, so the vertex is a minimum.
NEED HELP ASAP
Which is best described as a part of the interior of a circle bounded by an arc
and the two radii that share the are's endpoints?
Answer:
The answer is sector. B.
Good day!I need to find AB can someone please help me ASAP :(
Answer:
AB = 11
Step-by-step explanation:
Using the external secant property,
CB*CA = CD*CL (=CT^2 if T is tangent throught C)
substitute values,
7*(7+2x+3) = 9*(9+x+1)
Expand and simplify
70+14x = 90 + 9x
5x = 20
x = 4
=>
AB = 2x+3 = 2(4)+3 = 8+2 = 11
What is the issue with the work? It is wrong. Please answer this for points!
Answer:
3 ( a ) : x = 3.6,
3 ( b ) : x = 5
Step-by-step explanation:
For 3a, we can calculate the value of x through Pythagorean Theorem, which seemingly was your approach. However, the right triangle with x present as the leg, did not have respective lengths 9.6 and 12. The right angle divides 9.6 into two congruent parts, making one of the legs of this right triangle 9.6 / 2 = 4.8. The hypotenuse will be 12 / 2 as well - as this hypotenuse is the radius, half of the diameter. Note that 12 / 2 = 6.
( 4.8 )² + x² = ( 6 )²,
23.04 + x² = 36,
x² = 36 - 23.04 = 12.96,
x = √12.96, x = 3.6
Now as you can see for part b, x is present as the radius. Length 3 forms a right angle with length 8, dividing 8 into two congruent parts, each of length 4. We can form a right triangle with the legs being 4 and 3, the hypotenuse the radius. Remember that all radii are congruent, and therefore x will be the value of this hypotenuse / radius.
( 4 )² + ( 3 )² = ( x )²,
16 + 9 = x² = 25,
x = √25, x = 5
What is the probability of drawing 3 kings and 2 aces in a 5 card hand of poker?
Answer:
the probability of getting 3 aces and 2 kings when you draw 5 cards from the deck is 24 / 2598960 = 9.234463016 * 10^-6.
Step-by-step explanation:
the number of ways you can get 3 aces out of 4 aces is c(4,3) = 4.
the number of ways you can get 2 kings out of 4 kings is c(4,2) = 6.
the number of ways you can get 2 kings and 3 aces is 4 * 6 = 24.
the number of ways you can get 5 cards out of a deck of 52 cards is c(52,5) = 2598960.
Decide if the situation involves permutations, combinations, or neither. Explain your reasoning. Does the situation involve permutations, combinations, or neither? Choose the correct answer below. A. B. C. Neither. A line of people is neither an ordered arrangement of objects, nor a selection of objects from a group of objects.
Answer:
C. Neither
Step-by-step explanation:
The permutation is a selection of objects from a given sample in an ordered manner .
The combination is a selection of objects from a given sample irrespective of an order of arrangement.
The given line of people is neither an ordered arrangement of objects, nor a selection of objects from a group of objects So it fits neither of the combinations or permutations.
So the best answer is neither.
This graph shows the US unemployment rate from August 2010 to November 2011.
Sample Unemployment Rate
Graph
Unemployment Rate
10%
80%
6%
Unemployment Rate
Aug 10
Jan 11
Jun 11
Nov 11
This graph suggests unemployment in the United States
O will continue to fall.
O will continue to rise.
O will remain the same.
O will only change a little.
Answer: Will continue to rise
Step-by-step explanation:
Looking at the graph one notices that after a slight dip in the unemployment rate from August 2010 to January 2011, the unemployment rate began to rise and by November 2011 was still rising.
The arrow on the graph serves to indicate the direction the unemployment rate is going and as it is pointing upwards, this means that the Unemployment rate will continue to rise.
This was down to the fact that in 2011 the US was still yet to recover from the Great Recession of 2008 - 2009.
Answer:
EDGE 2021
Step-by-step explanation:
1) 4%
2) Increase
Find the area of the shaded regions:
Answer: 125.6 in^2
Step-by-step explanation:
First, we have that the radius of this circle is r = 10in
Now, we know that the area of a circle is:
A = pi*r^2
Now, if we got only a section of the circle, defined by an angle x, then the area of that region is:
A = (x/360°)*pi*r^2
Notice that if x = 360°, then the area is the same as the area of the full circle, as expected.
Then each shaded area has an angle of 72°.
A = (72°/360°)*3.14*(10in)^2 = 62.8 in^2
And we have two of those, both of them with the same angle, so the total shaded area is:
2*A = 2*62.8 in^2 = 125.6 in^2
