Answer:
3/5
Step-by-step explanation:
What divisor is represented by the synthetic division below? x + 5. One factor of x^3+x^2+x+1. If f(-5) = 0, what are all the factors of the function mc022-... -4 and 3. The polynomial function f(x) = 5x5 + 3x - 3 is graphed below. The root at point P maybe 3/5 3.
The potential rational roots are: [tex]\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]
What is the rational root theorem?The rational root theorem is used to determine the possible rational roots of a polynomial function
The equation of the function is given as:
[tex]f(x) = 5x^5 +\frac{16}{5} x -3[/tex]
Considering a polynomial function, f(x).
Such that:
[tex]f(x) = px^n + .......... +q[/tex]
The possible rational roots are:
[tex]Roots =\pm \frac{Factors\ of\ q}{Factors\ of\ p}[/tex]
So, we have:
[tex]Roots =\pm \frac{Factors\ of\ 3}{Factors\ of\ 5}[/tex]
List the factors of 3 and 5
[tex]Roots =\pm \frac{1,3}{1,5}[/tex]
Split
[tex]Roots =\pm \frac{1}{1}, \pm \frac{1}{5}, \pm \frac{3}{1},\pm \frac{3}{5}[/tex]
Simplify
[tex]Roots =\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]
Hence, the potential rational roots are:
[tex]\pm 1, \pm \frac{1}{5}, \pm 3,\pm \frac{3}{5}[/tex]
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Four letters are selected at random with replacement from the word MATHCOUNTS. What is the probability that the letters in the order they are selected will form the word MATH?
So "MATHCOUNTS" has 10 letters.
And "MATH" has 4 letters.
So the probability of you getting the letters "M" "A" "T" "H" is 4/10 or 2/5.
But it has to be in order...
There are 32 ways you can arrange the 4 letters. There is only 1 way you can write "MATH"
So 1/32 probability of 2/5 is 2/160 or 1/80
The probability of getting the word MATH is 1/80
What is Probability ?The study of likeliness of an event to happen is probability .
It is given that
Total letters in MATHCOUNTS : 10 letters.
Total chances of getting letter M , A , T , H is 4
Probability of getting the letters M , A , T , H is 4/10
= 2 /5
The probability of getting the word MATH is 1
And the total number of ways the letters can be arranged is 2⁴
= 32
The probability of getting the word MATH is
= 1 /32 * 2 /5
=1/80
Therefore , The probability of getting the word MATH is 1/80
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Can someone help me with this math problem
Answer:
B. (m-1)(m-8)
Step-by-step explanation:
The factors of 8 (constant term) are
{(1,8), (2,4)}, from which we see that 1+8 = 9, the absolute value of the coefficient of the second term.
Therefore we can group the expression as
m^2 - 9m + 8
= m^2-m - (8m -8)
then factor each group
= m(m-1) - 8(m-1)
and factor out (m-1)
= (m-1)(m-8)
What’s x ?? Help plzzz
Answer:
x = 69°
Step-by-step explanation:
1). JFGHI is a pentagon, every angle in a Pentagon is equal to 108°.
2). angle JIH + angle HIE = 180°; angle JIH = 108, so angle HIE = 72°.
3). angle JDI is equal to 39° and angle IEH; so angle IEH = 39°
4). Now we know 2 out of the three angles in the triangle IHE, so we can find x!
5). x + angle HIE + angle IEH = 180°
x + 72° + 39° = 180°
x = 69°
Simplify (−3c3w5)3. −9c6w8 −9c9w15 −27c6w8 −27c9w15
Answer:
-6723cw
Step by Step:
(-3c * 3w * 5) * 3 - 9c * 6w* 8 - 9c * 9w * 15 - 27c * 6w * 8 - 27c * 9w * 15
help me plz can i have help
Answer:
6×[tex]10^{-4}[/tex]
Step-by-step explanation:
What is -8.64 -0.024?
360
- 36
-360
36
Answer:
(-8.64) / (-0.024) = 360
Step-by-step explanation:
You have to type like this in your question;
(-8.64) / (-0.024)
or [tex]\frac{-0.024}{-8.64}[/tex].
Bye!
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 40 ft to 72 ft Thankyou!! please hurry tho lol
Answer:
5/9 is the simplest fraction for this ratio
The graph of f(x) = xx is reflected across the x-axis and then across the y-axis to create the graph of function g(x).
Which statements about the functions f(x) and g(x) are true? Check all that apply.
The functions have the same range.
The functions have the same domains.
The only value that is in the domains of both functions is 0.
There are no values that are in the ranges of both functions.
The domain of g(x) is all values greater than or equal to 0.
The range of g(x) is all values less than or equal to 0.
Answer:C and F are correct
Step-by-step explanation:
got it right on edge
-5+2(10b-2)=31 need help thanks!
Answer:
[tex]\Large \boxed{b=2}[/tex]
Step-by-step explanation:
-5+2(10b-2)=31
Expand brackets.
-5+20b-4=31
-9+20b=31
Add 9 on both sides.
20b=40
Divide both sides by 20
b=2
Answer:
b = 2Step-by-step explanation:
-5+2(10b-2)=31
Multiply the terms in the bracket
That's
- 5 + 20b - 4 = 31
Group like terms
Send the constants to the right side of the equation
That's
20b = 31 + 4 + 5
Simplify
20b = 40
Divide both sides by 20
We have the final answer as
b = 2Hope this helps you
Select the correct answer.
Simplify.
V96
Answer:
[tex]4 \sqrt{6}[/tex]
Step-by-step explanation:
The question is not properly presented and has mission options; however, the solution is as follows
Given
[tex]\sqrt{96}[/tex]
Required
Simplify
[tex]\sqrt{96}[/tex]
Start by expanding
[tex]\sqrt{16 * 6}[/tex]
The expression can be split to:
[tex]\sqrt{16} * \sqrt{6}[/tex]
Take positive square root of 16
[tex]4 * \sqrt{6}[/tex]
[tex]4 \sqrt{6}[/tex]
The expression cannot be further simplified
The two points on the coordinate plane represent Jane's house and her friend's house. Find the distance between the houses. Question 3 options: A) units B) units C) units D) units
Answer:
8.3
Step-by-step explanation:
To do this use the distance formula
[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
First find the coordinates Jane (-5, -2) Friend (3, -4)
Now solve for d (8.246)
Answer:
10 units or approx. 8.25 units
Step-by-step explanation:
Jane's house is at coordinate (-5,-2) and her friend's house is at coordinate (3,-4).
You can find the answer in 2 ways.
1) Hypotenuse (the diagonal side or side across from the right angle) - approx. 8.25 units
2) Down and Side (go down 2 units and go side 8 units) - 10 units
Hope that helps and maybe earns a brainliest!
Have great day ahead! :)
URGENT!!!! PLEASE HELP NOW!!! WHO EVER GIVES THE CORRRECT ANSWER WILL GET BRAINLIEST!!!
Items Sold at a Clothing Store
The bar graph shows the number of each item sold at a clothing store. Which
statement about the graph is true?
Answer:
The correct ans is..... ( which i believe )
3rd option
Hope this helps...
Pls mark my ans as brainliest
If u mark my ans as brainliest u will get 3 extra points
Answer:
3rd option
Step-by-step explanation:
because 2/5 of 40 is equal to 16, and thats the equivelent of the pants sold.
Explain how I would rewrite 3^5 * 3^-4 as a base an exponent
Answer:
3^1 or 3
3^5 * 3^-4 are 3^5-4
so, 3^1!
Hope it helps!
Answer:
3^1
Step-by-step explanation:
Since the bases are the same and we are multiplying we can add the exponents
a^b * a^c = a^(b+c)
3^5 * 3^-4
3^ (5+-4)
3^1
What is the total surface area of the square pyramid below? A square pyramid. The square base has side lengths of 10 centimeters. The triangular sides have a height of 14 centimeters. 100 cm2 200 cm2 280 cm2 380 cm2
Answer:
380 cm^2
Step-by-step explanation:
10*10=100(base square)
Each triangle= (14*10) /2=70
4 sides, so therefore: 70*4=280
280+100=380
Since the square base has side 10 cm and triangular side has height 14 cm, the total surface area of square pyramid is 380 cm²
To answer the question, we need to find the total surface area of the square pyramid
Total surface area of a square pyramid.Since a square pyramid has a square base and four triangular sides, its surface area, A = area of square base + 4 × Area of triangular side.
Area of square base
Area of square with side, L is A = L²
Area of triangular base
Area of triangle with height, h and base, L which is the length of the square base is A' = 1/2Lh
So, total surface area of square pyramid is A" = L² + 4 × 1/2Lh
= L² + 2Lh
Given that the length of the square base is 10 cm and the height of the triangular side is 14 cm.
We have that
L = 10 cm and h = 14 cmSo, substituting the values of the variables intot he equation, we have
A" = L² + 2Lh
A" = (10 cm)² + 2 × 10 cm × 14 cm
A" = 100 cm² + 280 cm²
A" = 380 cm²
So, the total surface area of square pyramid is 380 cm²
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Find the measure of the remote exterior angle. m∠x=(4n−18)°m∠y=(n+9)°m∠z=(151−5n)° A. 71 B. 16 C. 100 D. 46
Answer: A.71
Step-by-step explanation: 1.set up the equation
2. 4n-18+n+9=151-5n
3.combine like terms -> 5n-9=151-5n
4.solve for n
5.10n=160
n=16
now you have to plug 16 in for n in order to get the remote exterior angle.
151-5(16)
151-80
71°
The sum of any two interior angle is equal to the third exterior angle. The value of n will be 16°. Then the correct option is B.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The triangle having the interior angle x and y, and z is the exterior angle of triangle.
m∠x = (4n − 18)°, m∠y = (n + 9)°, and m∠z = (151 − 5n)°
Then the value of n will be
We know that the sum of any two interior angle is equal to the third exterior angle. Then we have
∠x + ∠y = ∠z
4n - 18 + n + 9 = 151 - 5n
10n = 160
n = 16°
Then the correct option is B.
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The coefficient of 8.2 N is
8
2
16
Answer:
2
Step-by-step explanation:
A coefficient is the number placed before the variable. The variable gets multiplied by the coefficient.
The format is not exactly clear with the expression in the question.
Assuming the expression is '8 * 2n', the coefficient would be 2.
'n' is getting multiplied by '2'.
'8' does not have a variable next to it, so it is just a term in the expression.
The product of 8 and 2 is 16. 16 is not in the expression.
If the expression was '8.2n', 8.2 would be the coefficient.
Brainilest Appreciated.
Given f(x) = -4(x-3)^2-2
a) Determine the inverse of f(x)
b) List the domain and range of inverse.
Answer:
[tex]\sqrt{\frac{x+2}{-4} }+3=y[/tex] d=(-infinity,-2) r=(3,+infinity)
Step-by-step explanation:
i did the math
For triangle DEF, angle D = 42 degrees, line e = 30 meters and line d = 25 meters. Determine the number of possible triangles that can be constructed. Show work.
Answer:
2 triangles
Step-by-step explanation:
The given angle is opposite the shorter of the given sides, so the number of triangles is 2. (30/25·sin(42°) ≈ 0.8 < 1)
_____
Additional comment
For the case where the shorter given side is opposite the given angle, there is the possibility that the triangle could be a right triangle (1 solution) or that there may be no solutions. You can tell the difference by computing ...
(long side)/(short side) × sin(given angle)
If this result is exactly 1, the triangle is a right triangle. If it is greater than 1, the triangle cannot exist (no solutions). Since the sines of most angles are irrational, it is unlikely you will see this result be exactly 1 (except for a 30°-60°-90° right triangle).
These observations are a consequence of the Law of Sines, which tells you ...
sin(A) = (a/b)sin(B)
For real angles, sin(A) ≤ 1.
Tamara walked 3/4 mile in 1/2 hour. Which of the following represents the unit rate that Tamara walked? A. 1/2 mi/h B. 2/3 mi/h C. 3/4 mi/h D. 1 1/2 mi/h Include ALL work please!
Answer:
1 1/2 miles / hour
Step-by-step explanation:
We want distance / time
3/4 miles
---------------
1/2 hour
3/4 ÷ 1/2
Copy dot flip
3/4 * 2/1
3/2
1 1/2 miles / hour
Answer:
D
Step-by-step explanation:
Multiple (3/4) by 2 to find the information for one hour)
6/4 in one hour
3/2 or 1 + 1/2 mi/h
D is the answer
Jill paid $36 for calendars marked down $5 apiece from the original price, she could have gotten 5 fewer calendars. How many cards did she buy
Answer:
she bought 7 cards
Step-by-step explanation
7x5=35 and im sure there is tax
PLEASE HELP!! A 5×5×5 wooden cube was painted and then sawed into 1×1×1 cubes. How many 1×1×1 cubes have exactly two faces painted?
Answer:
36
Step-by-step explanation:
There would be three on each edge. (Five, minus the two ends that have 3 sides painted.)
A cube has 12 edges.
12x3=36
5. Find the measures of the following. Round to the nearest whole number
Answer:
a - HT = 17
b - ∠T = 62
c - ∠H = 28
*PLEASE ANSWER* The volume of this fish tank needs to be doubled.
Answer:
Of course the answer is 2.
It says 'Double'!
The required scale factor is 2 in a manner to double the volume of the fish tanks. Option A is correct.
The figure is shown of the fish tank, a scale factor to be determined that is applied to the dimensions so the volume becomes twice the former volume.
Volume is defined as the ratio of the mass of an object to its density.
The volume of the fish tank = v
Now new the volume of the new fish tank = 2v
Scale factor = New volume/old volume
= 2v/v
= 2
Since the scale factor is 2 the dimension of new fish tank should be doubled to get twice the volume of the old fish tank.
The required scale factor is 2 in a manner to double the volume of the fish tanks. Option A is correct.
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If we transform the parabola y=(x+1)^2+2 by shifting 7 units to the right and 5 units down, what is the vertex of the resulting parabola? Vertex of resulting parabola: (__ a0,__ a1)
Hey there! I'm happy to help!
The vertex form of a parabola is y=a(x-h)²+k. The h represents the horizontal transformation, while the k represents the vertical. The vertex of a parabola in this form is (h,k). The a represents a vertical stretch or shrink.
Our parabola is y=(x+1)²+2. This is already in vertex form, so we do not need to change the equation. There is no a (basically a=1), which means that the parabola has not been stretched or shrunk from its parent form.
We see that the h is -1. This is because in the original equation it is (x-h)², so it has to be -1 because the two negatives make a positive which is the +1. (x--1)=(x+1).
We see that the k value is 2.
Since the vertex is (h,k), this vertex is (-1,2).
However, we have to shift the parabola 7 units to the right and 5 units down. So, we add 7 to the x-value and subtract 5 from the y-value of the vertex.
(x,y)⇒(x+7,y-5)
(-1,2)⇒(6,-3)
Therefore, the vertex of the resulting parabola is (6,-3).
Have a wonderful day! :D
What is 5 divided by 3,678
Answer:
Simple division..
divide 5 by 3,678
you'll get answer
0.00135943447
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]5\ \div \ 3678[/tex]
[tex]= \frac{5}{3678}[/tex] (Decimal: 0.001359)
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
If this helped you, could you maybe give brainliest..?
❀*May*❀
Two functions, A and B, are described as follows: Function A y = 9x + 4 Function B The rate of change is 3 and the y-intercept is 4 How much more is the rate of change of function A than the slope of function B? 3 6 2 9
Answer:
6
Step-by-step explanation:
Function A
y = 9x + 4
Function B
y = max+b
m = 3 and b = 4
y = 3x+4
The difference in the slopes is 9-3 = 6
Answer:
6
Step-by-step explanation:
The two functions are A and B.
A's equation is khown
● y =9x + 4
B is also khown. We should only gather tge information.
● the rate of change is 3
●the y-intercept is 4
So B's equation is:
● y = 3x + 4
3 is the rate of change wich is khown as the slope.
Divide A's slope by B's slope to khow how much A's slope is bigger than B's.
● 9/3 = 3
Substract 3 from 9 and you get the difference 9-3= 6
35= -5(2k+5)?????? need help
Answer:
k=-6
Step-by-step explanation:
Answer:
[tex]\Large \boxed{k=-6}}[/tex]
Step-by-step explanation:
35 = -5(2k+5)
Expand brackets.
35 = -10k - 25
Add 25 on both sides.
60 = -10k
Divide both sides by -10.
-6 = k
Find the sine and cosine of each angle as a fraction and as a decimal. Round to the nearest hundredth.
Answer:
1st triangle:
sin(C): 0.64, [tex]\frac{16}{25}[/tex]
cos(C): 0.8, [tex]\frac{4}{5}[/tex]
Second triangle:
sin(C): 0.75, [tex]\frac{\sqrt{5} }{3}[/tex]
cos(C): 0.67, [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Using SOH CAH TOA, we know that to find the sin of an angle, it's Opposite/Hypotenuse.
To find the cos of an angle, it's adjacent/hypotenuse.
In the 1st triangle:
The adjacent to C is 16, the hypotenuse is 25.
[tex]\frac{16}{25} = 0.64[/tex] is the sin of C.
The adjacent to C is 20, and the hypotenuse is 25.
[tex]\frac{20}{25} = 0.8[/tex] is the cos of C.
In the second triangle:
The opposite to C is [tex]\sqrt{5}[/tex] and the hypotenuse is 2.
[tex]\frac{\sqrt{5} }{2} \approx0.75[/tex] is the sin of C.
The adjacent to C is 2 and the hypotenuse is 3.
[tex]\frac{2}{3} \approx 0.67[/tex] is the cos of C.
Hope this helped!
The coefficient of 6x is
1
6
Х
Answer:
6
Step-by-step explanation:
If a number and a variable were together in a term, the number would the the coefficient. The coefficient would multiply the variable.
In '6x', the number '6' is the coefficient. '6' would be multiplying 'x'.
The correct answer should be 6.
Solve for x show work plz
Answer:
20
Step-by-step explanation:
We know that ΔBAC and ΔBED are similar becuase of the AA Postulate (they both have a right angle and they both share ∠B). Since AC is 15/3 = 5 times longer than ED, the scale factor is 5 which means AB is 5 times longer than EB. This makes EB = 25 / 5 = 5. Since AB = AE + EB and we know that AB = 25, AE = x and EB = 5, 25 = x + 5 which means x = 20.
