According to no. of terms it's binomial since it has two terms , according to the power it's cubic function since the power of X is 3
PLEASE GIVE BRAINLIEST
pls help asap!!!!
Which number best represents the slope of the graphed line?
Answer:
C: 1/2
Step-by-step explanation:
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: C. \cfrac{1}{2}[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex] \textsf{Slope of line - } [/tex]
[tex]\qquad \tt \rightarrow \: m = \cfrac{rise}{run} [/tex]
[tex]\qquad \tt \rightarrow \: m = \cfrac{0 - ( - 4)}{8 - 0} [/tex]
[tex]\qquad \tt \rightarrow \: m = \cfrac{ 4}{8 } [/tex]
[tex]\qquad \tt \rightarrow \: m = \cfrac{ 1}{2} [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
The correlation in error terms that arises when the error terms at successive points in time are related is termed _____.
Answer:
auto correlation is the answer to the question
Help please
A.-3
B.-1/3
C.1/3
D.3
Susan makes purple paint by mixing red and blue paint in the ratio 2:3
She has 12ml of red and 15ml of blue
What is the maximum amount of purple she can make?
What are the asymptote and the y-intercept of the function shown below?
f(x) = 6(0.5)x + 2
A curve declines through (negative 0 point 5, 10), (0, 8), (1, 5), (3, 2 point 9), (4, 2 point 3) and extends linearly through (6, 2), (7, 2), (8, 2) and (9, 2) on the x y coordinate plane.
A.
asymptote: y = 2
y-intercept: (0,8)
B.
asymptote: y = 1
y-intercept: (0,5)
C.
asymptote: y = 2
y-intercept: (0,5)
D.
asymptote: y = -2
y-intercept: (0,8)
The asymptote and the y-intercept of the function is asymptote: y = 2
y-intercept: (0,8) , Option A is the answer.
What is an Asymptote ?Asymptote is a straight line that approaches the curve but does not meet even at infinite distance.
It is given that f(x) = 6 (0.5)ˣ +2
The horizontal asymptote is at y = c
y = 2
From the curve it can be seen that
The intercept of y axis is determined when x = 0
then f(0) = 6 * (0.5)⁰ + 2
f(0) = 8
Therefore the y intercept is at (0,8)
Therefore Option A is the right answer.
To know more about Asymptote
https://brainly.com/question/4084552
#SPJ1
Answer:
C
Step-by-step explanation:
thats what i got
Find the value of x that makes the triangle a right triangle.
A
12
B
13
C
15
D
17
[tex]12^2+9^2=x^2\\144+81=x^2\\x^2=225\\x=15[/tex]
10(x + 2) + 10 • 2 for x = 2
Answer:
60
Step-by-step explanation:
10(2 + 2) + 20
=10(4)+20
=40+20
=60
question below, NEED ASAP!! THANK YOU!!!
Answer:
1
Step-by-step explanation:
[tex] log_{3}(5) \times log_{25}(9) = \frac{ log(5) }{ log(3) } \times \frac{ log(9) }{ log(25) } = \frac{ log(5) }{ log(3) } \times \frac{2 log(3) }{ 2log(5) } = \frac{2}{2} = 1[/tex]
im really stuck on this one
Answer:
See below
Step-by-step explanation:
The first one IS decay...as 'x' increases the function decreases
the second and third are NOT ...as 'x' increases the value increases
radioactive decay IS decay (obviously)
the one with e^2x is not ....it grows exponentially as x grows
and finally the last one is decay because as x gets larger the value of y gets smaller
Which expression is equivalent to 16³?
2⁷
2¹¹
2¹²
2⁶⁴
Answer:
2^12
Step-by-step explanation:
16^3 can be rewritten as (2^4)^3 which can then be rewritten as 2^12 by multiplying the exponents
Please help as soon as possible!!
Answer:
A) 144 feet
[tex]\textsf{B)} \quad h(t)=16t(6-t)[/tex]
Step-by-step explanation:
Part A
Given polynomial:
[tex]h(t)=96t-16t^2[/tex]
where:
h(t) is the height of the debris (in feet).t is the time (in seconds) after the explosion.To find the height of the debris 3 seconds after the explosion, substitute t = 3 into the polynomial and solve:
[tex]\begin{aligned}\implies h(3)& = 96(3)-16(3)^2\\ & = 288 - 16(9)\\ & =288-144\\ & =144 \sf \:\: ft\end{aligned}[/tex]
Part B
To factor the polynomial, rewrite 96 as 6 × 16:
[tex]\implies h(t)=6 \cdot 16t-16t^2[/tex]
Rewrite t² as t × t:
[tex]\implies h(t)=6 \cdot 16t-16t \cdot t[/tex]
Factor out the common term 16t:
[tex]\implies h(t)=16t(6-t)[/tex]
Check
Substitute t = 3 into the factored expression:
[tex]\begin{aligned}h(3) & = 16(3)(6-3)\\& = 16(3)(3)\\& = 48(3)\\& = 144\:\: \sf ft \end{aligned}[/tex]
As the height is 144 ft when t = 3 is substituted into the original polynomial and the factored polynomial, this confirms that the factorization is correct.
help i am struggling
Answer: it's D
Step-by-step explanation:
A quadrilateral has three congruent sides. Each of the congruent sides is 5 cm shorter than the forth side. If the quadrilateral has a perimeter of 33 cm, find the length of the longest side
The length of the three congruent sides is 7 cm and the fourth side length is 12cm.
Given quadrilateral has three congruent sides and perimeter of quadrilateral is 33 cm.
A quadrilateral can be expressed as ABCD and three congruent sides are AB, BC, CD and the fourth side is AD.
Let AD=x
then AB=BC=CD=x-5
This means if all the sides of a quadrilateral are known, we can get its perimeter by adding all its sides.
So, Perimeter = AB + BC + CD + DA.
Substitute values
(x-5)+(x-5)+(x-5)+x=33
4x-15=33
4x= 48
x=12
Hence the fourth side length is 12cm and the other sides are 7 cm longer.
Learn more about perimeter here https://brainly.com/question/6465134
#SPJ10
Solve the equation.
8-2x = -8x + 14
O x=-1
3
0x = - 1²/20
5
0x = ²/3
O x = 1
Answer:
D. x=1
Step-by-step explanation:
8-2x = -8x + 14
First, add 8x to both sides.
8+6x=14
Next, subtract 8 from both sides.
6x=6
Lasty, divide 6 from both sides.
x=1
Hope this helps!
If not, I am sorry.
if the first term is -2 and the rule is multiply by 6 and then subtract 13 whats the 3rd term
Answer:
-163
Step-by-step explanation:
-2,-25,-163
-2×6=-12 -12-13=-25
-25×6=-150 -150-13=-163
Answer:
The third term is = -163
Step-by-step explanation:
The first term is = -2
The second term = -2 ×6 = -12 Then - 13 = - 25
The second term = - 25
The third term = -25 × 6 = - 150 Then -13 = -163
The third term is -163
Mark brainliest
which number produces a rational number when added to 0.53
Answer:
5/7 or D
Step-by-step explanation:
i just know
Please solve! And explanation!
A fraction is a way to describe a part of a whole. The value of x is 6.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The value of x can be written as,
[tex]\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{x}}} = \dfrac{7}{13}\\\\\\\dfrac{1}{1+\dfrac{1}{\dfrac{x+1}{x}}} = \dfrac{7}{13}\\\\\\\dfrac{1}{1+\dfrac{x}{x+1}} = \dfrac{7}{13}\\\\\\\dfrac{1}{\dfrac{x+1+x}{x+1}}= \dfrac{7}{13}\\\\\\\dfrac{x+1}{x+1+x}= \dfrac{7}{13}\\\\[/tex]
13x + 13 = 7x + 7 + 7x
13x + 13 = 14x + 7
x = 6
Hence, the value of x is 6.
Learn more about Fraction:
https://brainly.com/question/1301963
#SPJ1
Sahil chooses a number, divides it by 8 , adds 8 to the answer. Then multiples the answer with 8 . He obtains the result as 952 . The number he chooses in the beginning was
I'M IN LOVE WITH A FAIRYTALE
EVEN THOUGH IT HURTS
CAUSE I DON'T CARE IF I LOOSE MY MIND
I'M ALREADY CURSED
Answer:
888
Step-by-step explanation:
let the number be n then divide by 8 , that is [tex]\frac{n}{8}[/tex]
now add 8 to this
[tex]\frac{n}{8}[/tex] + 8 and finally multiply this by 8 and equate to 952
8([tex]\frac{n}{8}[/tex] + 8) = 952 ( divide both sides by 8 )
[tex]\frac{n}{8}[/tex] + 8 = 119 ( subtract 8 from both sides )
[tex]\frac{n}{8}[/tex] = 111 ( multiply both sides by 8 to clear the fraction )
n = 888
the number chosen was 888
(PLEASE HELP!) Determine the values for the pronumerals that make the following piece-wise functions continuous.
Answer:
a = - 1b = 7Given A piece-wise function, consisting of three lines.
In order to make the function continuous, the first and second pairs of lines should have common points.
Let's find the common points.1. Intersection of the first two lines:
- x = 2 + x -2x = 2x = - 1This determines the value of a:
a = - 12. Intersection of the second two lines:
2 + x = 2x - 52x - x = 2 + 5x = 7This determines the value of b:
b = 7See the graph attached
find L.C.M. of:
a) 3 x (x + 1) (x-1) and 2x² (x-1) (x+3).
Answer:
f
Step-by-step explanation
Please solve it. It will help me for my exam preparation.
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: \cfrac{ y{ }^{2} }{(p - y) {}^{y} }[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: \cfrac{ {p}^{2} }{(p - y) {}^{y} } + \cfrac{ - 2p}{(p - y) {}^{y - 1} } + \cfrac{1}{(p - y) {}^{y - 2} } [/tex]
[tex]\qquad \tt \rightarrow \: \cfrac{ {p}^{2} + ( - 2p)(p - y) + 1(p - y) { }^{2} }{(p - y) {}^{y} } [/tex]
[tex]\qquad \tt \rightarrow \: \cfrac{ {p}^{2}- 2p {}^{2} + 2py + p {}^{2} + y{ }^{2} - 2py}{(p - y) {}^{y} } [/tex]
[tex]\qquad \tt \rightarrow \: \cfrac{ {p}^{2} + {p}^{2} - 2p {}^{2} + 2py - 2py + y{ }^{2} }{(p - y) {}^{y} }[/tex]
[tex]\qquad \tt \rightarrow \: \cfrac{ y{ }^{2} }{(p - y) {}^{y} }[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
If [tex]\rm \: x = log_{a}(bc)[/tex], [tex]\rm \: y = log_{b}(ca)[/tex], [tex]\rm \: z = log_{c}(ab)[/tex] , the xyz is equal to :
(a) x + y + z
(b) x + y + z + 1
(c) x + y + z + 2
(d) x + y + z + 3
Use the change-of-basis identity,
[tex]\log_x(y) = \dfrac{\ln(y)}{\ln(x)}[/tex]
to write
[tex]xyz = \log_a(bc) \log_b(ac) \log_c(ab) = \dfrac{\ln(bc) \ln(ac) \ln(ab)}{\ln(a) \ln(b) \ln(c)}[/tex]
Use the product-to-sum identity,
[tex]\log_x(yz) = \log_x(y) + \log_x(z)[/tex]
to write
[tex]xyz = \dfrac{(\ln(b) + \ln(c)) (\ln(a) + \ln(c)) (\ln(a) + \ln(b))}{\ln(a) \ln(b) \ln(c)}[/tex]
Redistribute the factors on the left side as
[tex]xyz = \dfrac{\ln(b) + \ln(c)}{\ln(b)} \times \dfrac{\ln(a) + \ln(c)}{\ln(c)} \times \dfrac{\ln(a) + \ln(b)}{\ln(a)}[/tex]
and simplify to
[tex]xyz = \left(1 + \dfrac{\ln(c)}{\ln(b)}\right) \left(1 + \dfrac{\ln(a)}{\ln(c)}\right) \left(1 + \dfrac{\ln(b)}{\ln(a)}\right)[/tex]
Now expand the right side:
[tex]xyz = 1 + \dfrac{\ln(c)}{\ln(b)} + \dfrac{\ln(a)}{\ln(c)} + \dfrac{\ln(b)}{\ln(a)} \\\\ ~~~~~~~~~~~~+ \dfrac{\ln(c)\ln(a)}{\ln(b)\ln(c)} + \dfrac{\ln(c)\ln(b)}{\ln(b)\ln(a)} + \dfrac{\ln(a)\ln(b)}{\ln(c)\ln(a)} \\\\ ~~~~~~~~~~~~ + \dfrac{\ln(c)\ln(a)\ln(b)}{\ln(b)\ln(c)\ln(a)}[/tex]
Simplify and rewrite using the logarithm properties mentioned earlier.
[tex]xyz = 1 + \dfrac{\ln(c)}{\ln(b)} + \dfrac{\ln(a)}{\ln(c)} + \dfrac{\ln(b)}{\ln(a)} + \dfrac{\ln(a)}{\ln(b)} + \dfrac{\ln(c)}{\ln(a)} + \dfrac{\ln(b)}{\ln(c)} + 1[/tex]
[tex]xyz = 2 + \dfrac{\ln(c)+\ln(a)}{\ln(b)} + \dfrac{\ln(a)+\ln(b)}{\ln(c)} + \dfrac{\ln(b)+\ln(c)}{\ln(a)}[/tex]
[tex]xyz = 2 + \dfrac{\ln(ac)}{\ln(b)} + \dfrac{\ln(ab)}{\ln(c)} + \dfrac{\ln(bc)}{\ln(a)}[/tex]
[tex]xyz = 2 + \log_b(ac) + \log_c(ab) + \log_a(bc)[/tex]
[tex]\implies \boxed{xyz = x + y + z + 2}[/tex]
(C)
Which of the following is a radical equation?
Ox+√5=12
O x² = 16
O 3+x√7=13
O 7√x = 14
Answer:
2
Step-by-step explanation:
because it's for the point s
The radical equation from the following equation is 3+x√7=13, the correct option is C.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
Four equations
x+√5=12, x² = 16, 3+x√7=13, 7√x = 14
Now,
Out of the four options you gave, only one is a radical equation:
Ox+√5=12 O x² = 16 O 3+x√7=13 O 7√x = 14
Only 3+x√7=13 because x is under a cube root sign. The other options are not radical equations because they do not have variables under radicals.
Therefore, the radical equation will be 3+x√7=13.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ5
You attend a wedding and are second in line to get a slice of wedding cake. there are 3 slices of vanilla cake, 12 slices of chocolate cake, and 6 slices of red velvet cake left. they are being handed out by a waiter at random. what is the probability that both you and the person in line in front of you get red velvet cake?
Answer:
1/14
Step-by-step explanation:
Let A represent the event First person getting red velvet cake
Let B represent the event Second person getting red velvet cake
P(A) = Total number of Red Velvet Cakes ÷ Total Number of Cakes =
6/21 = 2/7
If the first person gets a red velvet cake, then there are 5 red velvet cakes and 20 total cakes
Therefore P(B|A) = Number of red velvet cakes left ÷ total number of cakes left = 5/20 = 1/4
P(A and B) == probability of both getting red velvet cake P(A∩B) = P(A).P(B|A) = 2/7 × 1/4 = 2/28 = 1/14
4.
The graph below shows the distance traveled by a person biking at a rate of 6
miles per hour.
The equation is d = 6t, where t is the number of hours and d is the distance traveled
Write an equation that represents the distance traveled by a person who can bike
at a rate of 8 miles per hour.
Answer:
d=8t
Step-by-step explanation:
Use the Multiplication Law of Exponents to explain why 5^3*5^-3 = 1
(URGENT PLEASE)
The multiplication law states that
a^m×a^n=a^m+nSo
5³×5-³=15^(3-3)=15⁰=11=1Answer:
1 = 1
Step-by-step explanation:
5^3*5^-3 = 1We all know the law of exponents,the one we'll use to solve this is the multiplication law:
x^y * x^z = x^y+zIf the bases are equal or two numbers then the powers are equal too.Solved:
[tex]5^3 \: * \: 5^{-3} = 1[/tex][tex]5 {}^{3 + ( - 3)} = 1[/tex][tex]5 ^{0} = 1[/tex]x^0 = 1
[tex]1 = 1 \: ( \rm \: Proved)[/tex]Alternate method:
5^3*5^-3 = 15^3*1/5^3 = 15^3 and 5^3 cancels, which results to
1 = 1From a hot-air balloon, Brody measures a 39^{\circ}
∘
angle of depression to a landmark that’s 532 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
335.16 ft
Step-by-step explanation:
6. Find the distance between points A = (2, 0) and B = (0, 9). Round your answer to the nearest
tenth.
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:\approx 9.2 \:\: units [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex] \textsf{Using distance formula : - } [/tex]
[tex]\qquad \tt \rightarrow \: \sqrt{(x_2 - x_1) {}^{2} + (y_2 - y_1) {}^{2} } [/tex]
[tex]\qquad \tt \rightarrow \: \sqrt{(2 - 0) {}^{2} + (0 - 9) {}^{2} } [/tex]
[tex]\qquad \tt \rightarrow \: \sqrt{(2) {}^{2} + (- 9) {}^{2} } [/tex]
[tex]\qquad \tt \rightarrow \: \sqrt{ 4 + 81} [/tex]
[tex]\qquad \tt \rightarrow \: \sqrt{85} \: \: units[/tex]
[tex]\qquad \tt \rightarrow \: \approx 9.2 \: \: units[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
The distance between points A and B is 9.2 units.
We have,
To find the distance between two points (a, b) and (c, d) in a coordinate plane, you can use the distance formula:
Distance = √[(c - a)² + (d - b)²]
In this case, point A is (2, 0) and point B is (0, 9).
Now, plug the values into the distance formula:
Distance = √[(0 - 2)² + (9 - 0)²]
Distance = √[(-2)² + 9²]
Distance = √[4 + 81]
Distance = √85
Now, round the answer to the nearest tenth:
Distance ≈ √85 ≈ 9.2 (rounded to the nearest tenth)
Thus,
The distance between points A and B is 9.2 units.
Learn more about distance of a line here:
https://brainly.com/question/14645718
#SPJ7
Hey! can someone give me a step-by-step explanation on how to solve this problem correctly? I know for a fact that I did it incorrectly.
Answer:
B. 1:18
Explanation Down Below
Step-by-step explanation:
Hello!
First, let's find the volume of each cylinder by plugging in the given values.
Volume of a Cylinder: [tex]V = \pi r^2h[/tex]
Cylinder ASince the variables are the same as given in the formula, we can just use the formula as the volume.
[tex]\implies{\boxed{{V = \pi r^2h}}[/tex]
Cylinder BWe have to plug in 3r for the radius, and 2h for the height.
[tex]V = \pi r^2 h[/tex][tex]V = \pi (3r)^2(2h)[/tex][tex]V = \pi(9r^2)(2h)[/tex][tex]V = 18\pi r^2h[/tex][tex]\implies \boxed{ V = 18\pi r^2h}[/tex]
RatioWe can see that the Volume of Cylinder B is just 18 times the Volume of Cylinder A, but we can find the same ratio using equations.
[tex]\text{Ratio} = A:B[/tex][tex]\text{Ratio} = \pi r^2h: 18\pi r^2h[/tex][tex]\text{Ratio} = \frac{\pi r^2h}{18\pi r^2h}[/tex][tex]\text{Ratio} = \frac{\not{\pi}\not {r^2}\not{h}}{18\not{\pi}\not{r^2}\not{h}}[/tex][tex]\text{Ratio} = \frac1{18}[/tex][tex]\text{Ratio} =1:18[/tex]The answer is Option B. 1:18.
Which of the following is the solution to the following system of inequalities?
x+2y<4
3x-y >2
The solution will be the point of intersection of the two lines. The solution to the system is (1.1, 1.3)
Inequality graphsInequalities are expression not separated by an equal sign. Given the following inequalities
x+2y<4
3x-y >2
They are both written in standard form. The first line will be a dashed line and shaded below the graph while the second line will be a dashed line and shaded above.
The solution will be the point of intersection of the two lines as attached
Learn more on inequality graph here: https://brainly.com/question/11234618
#SPJ1
Answer:
Graph D is the correct one.
Step-by-step explanation: