[tex]\displaystyle\ \Large\boldsymbol p^q=16 \ \ then \\\\ 1) p=2 \ ; \ q=4 \Longrightarrow q^{pq}=4^{2\cdot 4}= 4^{8}=65536 \\\\\\2) p=4 \ ; \ q=2\Longrightarrow q^{pq}=2^{4\cdot2} =256[/tex]
Make a conjecture about the diagram below. Is AC greater than, less than, or equal to BC? Explain your reasoning.
Answer:
i dont see a diagram ?
Step-by-step explanation:
Answer:
AC is greater than BC because segment AC is the hypotenuse of right triangle ABC, and the hypotenuse is the longest side of a right triangle.
Click on the photo! Needing help ASAP please!♥️
=============================================================
Explanation:
Choice B has the GCF x we can factor out like so
10x^4-5x^3+70x^2+3x = x(10x^3-5x^2+70x+3)
Showing that choice B is not prime. If a polynomial can be factored, then we consider it not prime. It's analogous to saying a number like 15 isn't prime because 15 = 3*5, ie 15 can be factored into something that doesn't involve 1 as a factor.
In contrast, we consider 7 prime because even though 7 = 1*7, there aren't any other ways to write this integer as a factorization if we don't involve 1.
-----------------------------------
Choice C is a similar story. This time we can factor out 3
3x^2 + 18y = 3(x^2 + 6y)
So we can rule this out as well.
-----------------------------------
Choice D is a bit tricky, but we can use the difference of cubes factoring rule
a^3 - b^3 = (a-b)(a^2+ab+b^2)
where in this case a = x and b = 3y^2
Note how b^3 = (3y^2)^3 = 3^3*(y^2)^3 = 27y^(2*3) = 27y^6
All of this means choice D can be factored and it's not prime either.
------------------------------------
We've ruled out choices B through D. The answer must be choice A.
If you let w = x^2, then w^2 = x^4
The polynomial w^2+20w-100 is prime because setting it equal to zero and solving for w leads to irrational solutions. I'm assuming your teacher wants you to factor over the rational numbers.
Because w^2+20w-100 can't be factored over the rational numbers, neither can x^4+20x^2-100. This confirms that choice A is prime.
91.55
Which equation has the solutions -
5:27
3
1?
I
3x2 - 5x + 7 = 0
03x2 - 5x – 1 = 0
3x2 - 10x + 6 = 0
O 3x2 _ 10x + 1 = 0
Answer:
the answer is 3x2-10x+6=0
Find the surface area of the pyramid
Determina el centro,radio y gráfica de la circunferencia:(x+2)2 + (y-3)2=121
Answer:
La ecuación genérica para un círculo centrado en el punto (a, b), de radio R, es:
(x - a)^2 + (x - b)^2 = R^2
Entonces si miramos a nuestra ecuación:
(x + 2)^2 + (y - 3)^2 = 121
Tendremos el centro en:
(-2, 3)
el radio está dado por:
R^2 = 121
R = √121 = 11
La gráfica de esta circunferencia se puede ver en la imagen de abajo.
find the vertex, focus and equation of the directrix for the conic given by (x + 1)^2 = -20(y - 3).
sketch a graph of this conic
Hello,
The conic is a parabola ,
vertex (-1,3)
focus : (-1,-2)
directrix: y=8
equation: y= - 1/20x²-1/10*x+59/20
solution in picture
The vertex is v(-1,3) , focus is f(-1,8) and the equation of directrix is y = -2.
What is a parabola?A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line. The equidistant from a fixed point called the focus (F), and the fixed-line is called the directrix (x + a = 0).
For the given situation,
The standard form of equation of parabola is given by, [tex]y=\frac{1}{4p}(x-h)^{2}+k[/tex]
The vertex is given by [tex]v(h,k)[/tex]
The focus is given by [tex]f(h,k-p)[/tex]
The equation of directrix is given by [tex]y=k+p[/tex]
The given equation is [tex](x+1)^{2} =-20(y-3)[/tex]
On rearranging the given equation in standard form,
⇒ [tex](x+1)^{2} =-20y+60[/tex]
⇒ [tex](x+1)^{2} -60=-20y[/tex]
Divide by 20 on both sides,
⇒ [tex]\frac{(x+1)^{2}}{20} +4 = y[/tex]
⇒ [tex]y=\frac{-1}{(4)(5)} (x+1)^{2} +3[/tex]
On comparing the above equation with the standard form,we get
[tex]p=-5, h=-1, k=3[/tex]
⇒ [tex]k-p=3-(-5)\ =8[/tex]
Hence we can conclude that the vertex is v(-1,3), focus is f(-1,8) and equation of directrix is y=-2.
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Tìm x €N: a) 24:(2x-4)+14=26
Answer:
2x-4+14=26 add -4+14 this will give you +10
2x+10=26 subtract 10 on both side this will give you 16
2x=16 divide by 2 on both side this will give you 8
x=8
Step-by-step explanation:
If α and β are the zeroes of the polynomial 6y 2 − 7y + 2, find a quadratic polynomial whose zeroes are 1 α and 1 β .
Answer:
[tex]2y^2-7y+6=0[/tex]
Step-by-step explanation:
We are given that [tex]\alpha[/tex] and [tex]\beta[/tex] are the zeroes of the polynomial [tex]6y^2-7y+2[/tex]
[tex]y^2-\frac{7}{6}y+\frac{1}{3}[/tex]
We have to find a quadratic polynomial whose zeroes are [tex]1/\alpha[/tex] and [tex]1/\beta[/tex].
General quadratic equation
[tex]x^2-(sum\;of\;zeroes)x+ product\;of\;zeroes[/tex]
We get
[tex]\alpha+\beta=\frac{7}{6}[/tex]
[tex]\alpha \beta=\frac{1}{3}[/tex]
[tex]\frac{1}{\alpha}+\frac{1}{\beta}=\frac{\alpha+\beta}{\alpha \beta}[/tex]
[tex]\frac{1}{\alpha}+\frac{1}{\beta}=\frac{7/6}{1/3}[/tex]
[tex]\frac{1}{\alpha}+\frac{1}{\beta}=\frac{7}{6}\times 3=7/2[/tex]
[tex]\frac{1}{\alpha}\times \frac{1}{\beta}=\frac{1}{\alpha \beta}[/tex]
[tex]\frac{1}{\alpha}\times \frac{1}{\beta}=\frac{1}{1/3}=3[/tex]
Substitute the values
[tex]y^2-(7/2)y+3=0[/tex]
[tex]2y^2-7y+6=0[/tex]
Hence, the quadratic polynomial whose zeroes are [tex]1/\alpha[/tex] and [tex]1/\beta[/tex] is given by
[tex]2y^2-7y+6=0[/tex]
Calculate the exact value of number one
Answer:
1. a. (ii) 1/27
Step-by-step explanation:
1st one is already given, I will give you the answer to the second one,
³√27/9²
= 3/81
= 1/27
Answered by GAUTHMATH
Answer:
17/42 or in decimal 0.405
Step-by-step explanation:
Add: 1 4/7+2/3- 1 5/6= 47/21- 1 5/6
Subtract: 47 - 1 5/6 = 17/42
Simplify: 17/42
PLS HELP I WILL GIVE BRANLIEST JUST PLS QUICKK
Charles has five 1 pound bags of different color sands. For an art project, he will use 3/8 pounds of each bag of sand to create a colorful sand art jar. How much sand will be in Charles's sand art jar?
At the time of her grandson's birth, a grandmother deposits $3000 in an account that pays 9.5% compounded monthly.
What will be the value of the account at the child's twenty-first birthday, assuming that no other deposits or withdrawals are made during this period?
Answer:
74820
Step-by-step explanation:
9.5% of 3000 is 285
there are 12 months in a year
so 12 times 21 equals 252
so 285 times 252 add 3000 equals 74820
I need help w this ASAP !!!
hmm...let me think a little bit
Step-by-step explanation:
hmmm ..... i dont know so sorry
i am very very sory
2x - y when x = 0 and y = -5
Answer:
5
Step-by-step explanation:
2x - y when x = 0 and y = -5
2(0) - (-5) =
= 0 + 5
= 5
Answer:
5
Step-by-step explanation:
2x-y
2(0)-(-5)
0-(-5)
0+5
5
find the size of each of the unknown angles
plz give me solution
Answer:
80°Step-by-step explanation:
See the picture
It should be self-explanatory
The top part of the angle a is:
35° + 165° - 180° = 20°The bottom part of the angle a is:
180° - 120° = 60°The measure of angle a is:
20° + 60° = 80°Firstly, draw a line parallel to UT
Something like in the picture
Now,
a = BNU
Also,
BNU + BNM = 165°
A coordinate plane.
A line goes through the point (–4,–2) and has an x-intercept of –1.
Which point also lies on the line?
A (–6,–5)
B (3,2)
C (4,5)
D (5,4)
Answer: D. (5, 4)
Step-by-step explanation:
An x-intercept of -1 means the point = (-1, 0)
So find the slope(m) using the formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex](x_{1},y_{1})=(-4,-2)\\(x_{2},y_{2})=(-1,0)\\\\m = \frac{0-(-2)}{-1-(-4)}=\frac{0+2}{4-1}=\frac{2}{3}[/tex]
Now find the y-intercept(b) by substituting a point into the function:
y = mx + b
[tex]y=\frac{2}{3} x+b\\\\0=\frac{2}{3} (-1)+b\\\\0=-\frac{2}{3}+b\\\\b=\frac{2}{3}[/tex]
So now the function is determined as [tex]y=\frac{2}{3} x+\frac{2}{3}=\frac{2}{3}(x+1)[/tex].
Bring each of the coordinates in to see if it fits in:
A. (-6, -5) [tex]\frac{2}{3}(-6+1)=\frac{2}{3}(-5)=-3.33\neq -5[/tex]
B. (3, 2) [tex]\frac{2}{3}(3+1)=\frac{2}{3}(4)=2.67\neq 2[/tex]
C. (4, 5) [tex]\frac{2}{3}(4+1)=\frac{2}{3}(5)=3.33\neq 5[/tex]
D. (5, 4) [tex]\frac{2}{3}(5+1)=\frac{2}{3}(6)=4[/tex]
Answer:
D(5,4)
Step-by-step explanation:
Took Quiz
Solve for x
Help me please
Answer:
x = 42.5
Step-by-step explanation:
A triangle inscribed inside of a circle using the diameter of the circle as it's hypotenuse is a right triangle ( a 90 degree triangle ) where the angle opposite of the hypotenuse is the 90 degree angle ( angle C )
Hence angle C = 90
If angle C = 2x + 5
Then 2x + 5 = 90
Notice that we just created an equation that we can use to solve for x
We now solve for x algebraically
2x + 5 = 90
Step 1 subtract 5 from both sides
2x + 5 - 5 = 90 - 5
Outcome: 2x = 85
Step 2 divide both sides by 2
2x/2 = 85/2
Outcome: x = 42.5
Which option correctly shows one row of a stem-and-leaf plot that displays this data set? 24,35,10,32,19,26,24,30,17,19,20,35
Answer:
STEM ___ LEAF
1 _______0_ 7 _ 9 _ 9
2_______0 _ 4 _ 4 _ 6
3_______0 _ 2 _ 5 _ 5
Step-by-step explanation:
Given the ordered version of the data:
10, 17, 19, 19, 20, 24, 24, 26, 30, 32, 35, 35
. The stem is the tens digit and leaf is the unit digit of each data.
STEM ___ LEAF
1 _______0_ 7 _ 9 _ 9
2_______0 _ 4 _ 4 _ 6
3_______0 _ 2 _ 5 _ 5
Since there isn't any option given, then the row could be any of row values above.
tìm nghiện của đa thức
A.x-2
B.2x-7
C.(X-4)*(2-3X
Answer:
C.
make me brainlest if you copy okay
A coin is flipped five times. Find the number of possible sets of heads and tails that have at most 3 heads
Answer:
[tex]Sets = 27[/tex]
Step-by-step explanation:
Given
[tex]Coin = 1[/tex]
[tex]Toss = 5[/tex]
Required
Number of outcomes with at most 3 heads
First, we list out the sample space of a toss of coin 5 times
[tex](HHHHH)[/tex], [tex](HHHHT)[/tex], [tex](HHHTT)[/tex], [tex](HHTTT)[/tex], [tex](HTTTT)[/tex], [tex](TTTTT)[/tex], [tex](TTTTH)[/tex], [tex](TTTHH)[/tex], [tex](TTHHH)[/tex], [tex](THHHH)[/tex], [tex](HTHTH)[/tex], [tex](THTHT)[/tex], [tex](HHTHH)[/tex], [tex](TTHTT)[/tex], [tex](HTTHT)[/tex], [tex](THHTH)[/tex], [tex](THHHT)[/tex], [tex](HTTTH)[/tex], [tex](THHTT)[/tex], [tex](HTTHH)[/tex], [tex](HHTTH)[/tex], [tex](TTHHT)[/tex], [tex](TTHTH)[/tex], [tex](HHTHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](THTTH)[/tex], [tex](HTHHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](HHHTH)[/tex], [tex](TTTHT)[/tex]
Next, we list out all outcomes with at most 3 heads
, , [tex](HHHTT)[/tex], [tex](HHTTT)[/tex], [tex](HTTTT)[/tex], [tex](TTTTT)[/tex], [tex](TTTTH)[/tex], [tex](TTTHH)[/tex], [tex](TTHHH)[/tex], , [tex](HTHTH)[/tex], [tex](THTHT)[/tex], , [tex](TTHTT)[/tex], [tex](HTTHT)[/tex], [tex](THHTH)[/tex], [tex](THHHT)[/tex], [tex](HTTTH)[/tex], [tex](THHTT)[/tex], [tex](HTTHH)[/tex], [tex](HHTTH)[/tex], [tex](TTHHT)[/tex], [tex](TTHTH)[/tex], [tex](HHTHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](THTTH)[/tex], [tex](HTHHT)[/tex], [tex](HTHTT)[/tex], [tex](THTHH)[/tex], [tex](TTTHT)[/tex]
So, the number of set is:
[tex]Sets = 27[/tex]
find the area of the triangle
What is the value of x?
Enter your answer in the box.
x = in.
Answer:
24
Step-by-step explanation:
Consider a binomial experiment. If the number of trials is increased, what happens to the expected value
Answer:
The expected value is an expression of the weighted average and can be taken as the (arithmetic) mean
As the number of trials is increased in a binomial experiment, the expected values obtained, in each of the set of trials continuously tend to the theoretical expected value
Step-by-step explanation:
15 POINTS AND BRAINLIEST!!!
Answer:
option C
Step-by-step explanation:
2, 4, 6
i don't know whether it is correct or not...
Find the intersection point between the lines of equations:
2x-y+6=0 and 2x+3y-6=0
Step-by-step explanation:
The two equation will intersect each other at the point which will be the solution of the given two equations , and the given equations are ,
[tex]\implies 2x -y +6=0\\\\\implies 2x + 3y -6=0[/tex]
On subtracting the given equations we have,
[tex]\implies -y - 3y +6 -(-6) = 0 \\\\\implies -4y = -12 \\\\\implies y = -12/-4\\\\\implies y = 3 [/tex]
Put this value in any equation , we have ,
[tex]\implies 2x -3 +6 =0\\\\\implies 2x = -3 \\\\\implies x =\dfrac{-3}{2} \\\\\implies x =-1.5 [/tex]
Hence the lines will Intersect at ,
[tex]\implies\underline{\underline{ Point=(-1.5, 3)}}[/tex]
for the first one x = 1/2 y-3" and y = 2 x + 6 and for the other one is x = − 3 /2 y+ 3 and y= − 2 /3 x + 2
how i did this Step 1: Add -3y to both sides.
Step 2: Add 6 to both sides.
Step 3: Divide both sides by 2.
A survey asked people of different ages whether they get their news by
reading the paper. What is the probability that a person surveyed is 40 or
above, given that he or she gets the news by reading the paper? If necessary.
round your answer to the nearest percent.
Answer:
A) 60%
Step-by-step explanation:
24/40
= 0.6
0.6*100
= 60%
I really hope this is right and it helps.
Find the standard form for the equation of the line which passes through the point (10, 53) and which has a y-intercept of — 3.
Answer:
Step-by-step explanation:
eq. of line with slope m and intercept 3 is
y=mx+3
∵ it passes through (10,53)
53=10m+3
10m=53-3=50
m=50/10=5
y=5x+3
so standard form of eq. is
5x-y+3=0
or
5x-y=-3
Can someone help me with this math homework please!
OPTION C
The variable x represents the independent variable.
If a student can type 120 if if if if a student can type 120 words in 3
minutes, at this rate, how many words can
she type in 5 minutes?
(C) 180
(A) 240
(D) 160
(B) 200
(E) 120
Answer:
200
Step-by-step explanation:
Given: they can type 120 words in 3 minutes
Find number of words they can type in 1 minute: Words typed in 1 minute = 120/3=40
Solution: Words typed in 5 minutes = 40 * 5 = 200
Answer:
200 words
Step-by-step explanation:
First we need to find the words per minuite the student can type
we can do this by taking the number of words typed in 3 mins and dividing it by 3
120/3 = 40
Now we know she types 40 words per min
multiply 40 by 5 to get the no. of words typed in 5 mins
40*5=200
200 is the words she types in 5 mins
pls give brainliest
I NEED HELP FAST!!!!!
(05.03 MC) John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks: Which equation best models the relationship between x and y?
A. y= -5x+25
B. y= -25x+125
C. y= -25x+175
D. y= -5x+125
Answer:
think it is D
Step-by-step explanation:
look at the X axis and the number at the Y axis
The equation best models the relationship between x and y is y=-5x+125.
We have given that,
John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, y, after x weeks.
We have to determine the equation best models the relationship between x and y.
What is the equation best models the relationship?
The three main ways to represent a relationship in math are using a table, a graph, or an equation.
The X-axis and the number at the Y-axis.
Therefore, The equation best models the relationship between x and y is y=-5x+125.
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Surface Area of Prisms
Can someone show me how to solve and also what the formula is. Please!
Answer:
400 in.²
Step-by-step explanation:
Surface area of the triangular prism = bh + L(s1 + s2 + s3)
Where,
b = 8 in.
h = 15 in.
s1 = 17 in.
s2 = 15 in.
s3 = 8 in.
L = 7 in.
Plug in the values
S.A = 8*15 + 7(17 + 15 + 8)
S.A = 120 + 7(40)
S.A = 120 + 280
S.A = 400 in.²