Answer:
x = -3
Step-by-step explanation:
Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:
2³⁰/(2³)⁹ = 2^x
When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:
(2³)⁹ = 2^3•9 = 2²⁷
Now we have:
2³⁰/2²⁷ = 2^x
When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:
2^(30-27) = 2^x
2^-3 = 2^x
Now you know that x = -3
Arrange the polynomial equations in increasing order of the maximum number of extrema they could have. y = x6 − 6x3 + 5x y = x5 + 4x3 − 5x y = x3 + 21x2 + 110 y = 3x2 + 5 y = x4 − 17x2 + 72 ↓ ↓ ↓ ↓
The increasing order of maximum number of extrema they could have is;
y = 3x² + 5y = x³ + 21x + 2y = x⁴ − 17x² + 72y = x5 + 4x³ − 5xy = x6 − 6x3 + 5xWhat is the maximum number of extrema they could have in increasing order?The extrema of a polynomial is otherwise termed it's "turning point(s)". It follows that a polynomial with a degree n would have (n-1) number of turning points. It therefore follows on this basis that the arrangement of the polynomial equations in increasing order of possible extrema they could have is;
y = 3x² + 5
y = x³ + 21x + 2
y = x⁴ − 17x² + 72
y = x5 + 4x³ − 5x
y = x6 − 6x3 + 5x
Read more on extrema;
https://brainly.com/question/11513179
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A cylinder-shaped drainage pipe 66 in. long measures 25.12 in. around.
What is the volume of the drainage pipe?
Answer:
Step-by-step explanation:
25.12 inches around means diameter. So radius = 12.56 inches
volume [tex]= \pi r^2 \times h =\pi \times 12.56^2 \times 66 = 32709.44 \ in^3[/tex]
Answer:
The volume of the drained pipe is 32692.11 in ³.
Step-by-step explanation:
Given :-Diameter of drainage pipe = 25.12 in
So, radius , r = 25.12 in = 12.56 in
Height of drainage pipe, h = 66 in.
To Find :-Volume of the drainage pipe
Solution :-We know that,
Volume of cylinder = π × r ² × h
substitute the values
Volume of pipe = 3.14 × (12.56 in)² × 66 in
simplify
Volume of pipe =3.14 ×157.7536 in² × 66in
multiplying ✖ the values
Volume of the pipe = 32,692.11 in ³
Therefore, the volume of the drained pipe is 32692.11 in ³.
What is the slope-intercept equation of the line below? A.y=2x+3 B.y=-2x-3 C.y=2x-3 D.y=-2x+3
Answer:
C.
Step-by-step explanation:
First, lets find the y-intercept. The y-intercept where the line passes through the y-axis. In this case, it is -3.
Now, to find the slope, lets find the next non-decimal point(that way it is easier on us). That would be (1,-1). Now, to get to this point from the y-intercept, we have to go left 1 unit, and up 2 units. So, the change in y over change in x = 2/1 or 2. Now, using this information, we can form the equation:
y = 2x + -3. or y = 2x - 3.
Select all of the following that are equivalent to 1/10,000
A (10,000)^-1
B(-10,000)
C(100)^-2
D(10)^-4
E(-10)^2
D.( 10 )^-4
This is the answer of your question
hope it is helpful to you
¿¡ Cuanto es "(8 x 7 + 5 x (-8)) : (-4)" ??
Answer:
-4
Step-by-step explanation:
So like ur last problem do it in order left to right.
[8x7]+5x(-8)/(-4)
56+[5x(-8)/-4
56+(-40)/-4
16/-4=(-4)
Sorry if i did in wrong order.
Identify the transformations of the
function f(x) = x^2 to g(x)=(x-7)^2+4
What is the relationship between the values tand s plotted on the number line
below?
S
A. t= s
B. t>s
O c. tcs
Answer:
The answer should be t > s. B is the correct answer.
Given line t passes through (0,-5) and (-1,3) and liner passes through (-4,3) and (4,2).
Are the lines parallel, perpendicular or neither? Show all work to justify your
response.
Answer:
neither
Step-by-step explanation:
Slope of the first line: (y2 -y1)/(x2-x1) = (3-(-5)/-1 = 8/-1 = -8
Slope of the second line: (2-3)/4-(-4) = -1/8
They are neither parallel nor perpendicular. In fact the two lines have different slope so they can’t be parallel. In addition the product of their slope is not -1, so they can’t be perpendicular,
PLEASE HELP! Translate the following phrase into a variable expression. Use the letter d to name the variable.
…10 times as deep..
A. d + 10
B. 10d
C. d/10
D. d - 1
Answer:
B. 10d
Step-by-step explanation:
10 times d = 10d
Hope its right
GRADE 10 MATH QUESTION
The city is trying to open a road that connects a cabin in the woods to a
roadside. The roadside connects 2 parks. The cabin site is located at (8,6) on
the map and the parks are at point A (-2,10) and point B (5,-4). Find the
route that minimizes the cost and the number of trees that have to be cut
down (Hint: Find the shortest distance between the cabin and the roadside)
Answer:
the shortest route is from cabin site to B
Step-by-step explanation:
see my attachment
Answer:
answer is b
Step-by-step explanation:
for freshman year Nick had 3.5 for a gpa. what gpa does Nick needs for sophomore, junior, senior year to get the average of at least 4.0?
Answer:4.0
Step-by-step explanation:
What is the product?
Answer:
[tex]21x^{7}y^{11}[/tex]
Step-by-step explanation:
Remove the parentheses and take out the constansts.
[tex](7 x 3) x^{2} x^{5} y^{3} y^{8}[/tex]
Simplify 7 x 3 to 21.
[tex]21x^{2} x^{5} y^{3} y^{8}[/tex]
Use the product rule: [tex]x^{a} x^{b} = x^{a + b}[/tex]
[tex]21x^{2 + 5}y^{3+8}[/tex]
Simplify 2+5 to 7.
[tex]21x^{7}y^{3+8}[/tex]
Simplfiy 3 + 8 to 11.
[tex]21x^{7}y^{11}[/tex]
Coach Peters has 12 gallons of water to fill buckets for field day. If
each bucket needs of a gallon to fill, how many buckets can he fill?
Answer:
Step-by-step explanation:
D.36
because 12 divided by 1/3 is 36
Anyone know how to do this
Answer:
77
Step-by-step explanation:
3+2*49-24
3+98-24
101-24
77
Good luck
Answer:
77
Step-by-step explanation
3+2X7^2-4X6
First complete the exponent
3+2X49-4X6
Then multiply
3+2X49-24
Multiply
3+98-24
Calculate the rest of the equation
101-24=77
Therefore the answer is 77.
Please don't be mad if this is incorrect
Also the x's are multiplication symbols and NOT variables
Whats the y-intercept of -2x - y=3
HELP ASAP PLEASE!!!!!
In the applet above right triangle XYZ is drawn with a 23 degrees angle. for the right triangles with an angle of 23 degrees the ratio of the leg adjacent the 23 degrees angle compared to the hypotenuse is 0.92 if the leg adjacent to the 23 degrees angle has a length of 46 units, what is the length of the hypotenuse ?
Answer:
50 ( nearest whole number)
Step-by-step explanation:
Given from the question :
Ratio of Adjacent to hypotenus = 0.92
Length of Adjacent leg = 46 units
From trigonometry :
Ratio of adjacent to hypotenus is the cosine of the angle :
Hence,
Cos 23 = adjacent / hypotenus
Cos 23 = 46 / hypotenus
0.9205048 = 46/ hypotenus
Hypotenus = 46 / 0.9205048
Hypotenus = 49.97
Please help with these problems
Answer:
thank you for thissssssss
what is 4.3347x10^4 in standard form?
Answer:
43347
Step-by-step explanation:
just move decimal to the right 4 times.
Hi can someone please help me with these questions.
Answer:x=3, x=18, x=29, x=30, x=27
Step-by-step explanation: for problems like the first one, the angles add up to 180 since it’s just a straight line.
The second problem is a right angle so 90°. It gives you 2x and 3x. Part + part =whole so you have 5x=90 then just solve.
Angles across from each other are the same so just 145=5x then solve.
Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for
recycling. Abha collected 178 more cans than Shane did.
Write an inequality to determine the number of cans, S, that Shane could have collected.
What is the solution set of the inequality?
Answer:
s + 178 = Abha's Can's
Step-by-step explanation:
Well since Abha collected 178 more cans than Shane, it would be Shane's amount of cans they collected AND 178 cans on top of that.
(i didnt know if you wanted the solution of s or just the equation on how to find s)
Which of the following is RS? pls answer asap thank you
Answer:
not sure
Step-by-step explanation:
but I think it's c tell me if I'm correct please but I'm not sure if u have no time just click C)
Answer:
c
Step-by-step explanation:
What is the theoretical probability of randomly choosing a blue marble from a bag of 5 blue marbles, 8 red marbles, and 7 yellow marbles?
Answer:
25%
Step-by-step explanation:
There's a total of 5+8+7 = 20 marbles.
The chance of picking a blue marble is [tex]\frac{5}{20} =\frac{1}{4} =0.25=[/tex]25%, as there's 5 blue marbles and a total of 20.
The diagram shows the locations of Cody and Reese after running
different directions from a tree. How far did Cody run?
Answer: 80yd
Step-by-step explanation:
pls help me pls and thank u
A potential difference of 35v is applied across the ends of a resistance of 3 ohms. How much current will flow in the resistance?
Answer:
11.67 Amperes
Step-by-step explanation:
From Ohm's law,
Ohm's law which state that a current
which flow through a conductor at a distance between two points is proportional directly to the voltage which is flowing across the two points.
I= V/R
Where
I= Current
V= potential difference =35v
R= resistance = 3 ohms
Then substitute the values we have
I = 35 / 3
I= 11.67 Amperes
x = 4 and y = 2, what is the value of x^2 + y^3 ?
Answer:
14
Step-by-step explanation:
x * 2 = 8
y * 3 = 6
6 + 8 = 14
The solution is {-8, 3} but I’m not sure how to graph it on a line, is it A B C or D?
Answer:
-8 < x< 3
Step-by-step explanation:
|2x+5| <11
there are two solutions, one positive and one negative ( remember to flip the inequality for the negative)
2x+5 <11 and 2x+5 > -11
Subtract 5 from each side
2x+5-5 < 11-5 and 2x+5-5 > -11-5
2x< 6 and 2x>-16
Divide by 2
2x/2 <6/2 and 2x/2 >-16/2
x <3 and x>-8
-8 < x< 3
x is less than 3 and x is greater than -8
open circles and -8 and 3 and a line between
What is the sum of the fraction below? 1/7+3/8
Answer:
29/56
Step-by-step explanation:
Here we're combining two fractions of different denominators, 7 and 8. The LCD is the product of 7 and 8: 56.
1/7 is rewritten as 8/56 and 3/8 as 21/56.
Summing these up, we get 29/56
Which one goes where?:( WILL GIVE BRAINLIEST!<33
Answer:
1 pair of parallel sides: B
2 pairs of parallel sides: A, D
3 pairs of parallel sides: C
Step-by-step explanation:
When two lines are parallel, they will never intersect.