Answer:
0.267[tex]mm^3[/tex]
Step-by-step explanation:
Radius of the Bubble = 0.7 mm
Volume of the bubble is given by the formula :
[tex]r=\sqrt[3]{\frac{3V}{4\pi } }[/tex]
Taking cube on both sides
[tex]V=\frac{4\pi\times r^3 }{3}\\\\ V=\frac{4\times3.14\times(0.7)^3}{3}\\\\V=\frac{12.56\times 0.064}{3}\\\\ V=\frac{0.804}{3}\\\\V=0.267mm^3[/tex]
_____ is a gas giant, an "ice giant," and orbits the Sun like a rolling ball (since its axis is greatly tilted). A. Saturn B. Jupiter C. Uranus D. Neptune
Need help ASAP! Need help ASAP will mark you as brainiest!
Answer:
[tex]r=\frac{44}{\pi }[/tex]
Step-by-step explanation:
[tex]88=2\pi r[/tex]
[tex]\mathrm{Switch\:sides}\\2\pi r=88\\\frac{2\pi r}{2\pi }=\frac{88}{2\pi }\\r=\frac{44}{\pi }\\or\\r=14.00563[/tex]
Answer:
2 metres
Step-by-step explanation:
Circumference = 2 × π × r
→ Substitute in the values
88 = 2 × [tex]\frac{22}{7}[/tex] × r
→ Divide both sides by 2 to isolate [tex]\frac{22}{7}[/tex] and r
44 = [tex]\frac{22}{7}[/tex] × r
→ Multiply everything by 7 to get rid of the fraction
308 = 22 × 7r
→ Divide the equation by 22 to isolate 7r
14 = 7r
→ Divide the equation by 7 to isolate r
2 = r
The radius of the circle with a circumference of 88 meters is 2 metres
Is x = 17 a solution to the equation x + 15 = 42?
guys plz help me :(
Answer:
no
Step-by-step explanation:
x + 15 = 42
Subtract 15 from each side
x + 15-15 = 42-15
x = 27
x = 17 is not 27 so it is not a solution
Answer:
No.
Step-by-step explanation:
If you substitute 17 in for x in the equation you get 17+15=42. Simplify to get 32=42. This is not a true statement, so x=17 is not the answer.
Which shows the fractions in order from greatest to least?
A. 3/6, 4/9, 3/7, 3/10
B. 3/10, 3/7,4/9,3/6
C. 3/6, 4/7,4/9,3/10
D. 3/10, 4/9,3/7,3/6
Answer: A
Step-by-step explanation:
3/6= 0.5
4/9= 0.444
3/7= 0.428
3/10= 0.3
0.5 > 0.444....> 0.428 > 0.3
Jose bought 750 bags of peanuts for $375.00. He intends to sell each bag for $0.15 more than he paid. How much should he charge for each bag?
Answer:
65p
Step-by-step explanation:
375 divided by 750=0.50
0.50+15=65p
Answer:
0.65
Step-by-step explanation:
750 / 375 = 0.50, and he wanted to sell them for 0.15 more than the original cost, so the answer is 0.65
Part 3
1. Be sure your work is shown and steps are in order.
2. List all the possible rational roots.
3. Use synthetic division to test the possible rational roots and factor possible.
4. Identify complex roots if possible.
5. Sketch a graph of the function, please show:
a. the end behavior correctly
b. the shape of the near x-intercepts
c. (if possible) anything you can learn by considering symmetry and transformations.
3a. p(x)= 2x^5 - 9x^4 + 6x^3 + 22x^2 - 20x - 25
Answer:
possible rational roots: ±1/2, ±1, ±5/2, ±5, ±25/2, ±25
p(x) = (x +1)^2(2x -5)(x^2 -4x +5)
complex roots: 2±i
see the last attachment for a graph
Step-by-step explanation:
2. The leading coefficient of p(x) is 2, and the constant term is 25. The Rational Root Theorem tells you possible rational roots will be of the form ...
±(divisor of 25)/(divisor of 2)
That is, they are ...
±1/2, ±1, ±5/2, ±5, ±25/2, ±25
__
3. Before we get into synthetic division, we choose to see if we can reduce this list any. We note that p(0) = -25. The value of p(1) is the sum of the coefficients:
p(1) = 2 -9 +6 +22 -20 -25 = 30 -54 = -24
Similarly, the value of p(-1) is the same sum with odd-degree coefficients negated:
p(-1) = -2 -9 -6 +22 +20 -25 = 42 -42 = 0
So, we found our first root: -1. Using synthetic division, we can reduce the polynomial and start over. See the first attachment for this division.
__
The reduced polynomial is ...
p1(x) = 2x^4 -11x^3 +17x^2 +5x -25
We already know that +1 is not a of it. Checking -1, we have ...
p1(-1) = 2 +11 +17 -5 -25 = 0
So, we found our second root: -1. Using synthetic division, we can reduce the polynomial and start over. See the second attachment for this division.
__
The reduced polynomial is ...
p2(x) = 2x^3 -13x^2 +30x -25
The alternating signs tell us there are no more negative real roots. They also tell us there are 1 or 3 positive real roots. We know p2(0) = -25. Then ...
p2(1) = 2 -13 +30 -25 = 32 -38 = -6
The average rate of change between these points is (-6 -(-25))/(1 -0) = 19. At this rate, we expect a root between x=1 and x=2. Testing x=2 using synthetic division, we get a remainder of -1. (See the 3rd attachment.) Then the rate of change between x=1 and x=2 is (-1 -(-6))/(2-1) = 5, suggesting x=5/2 might be a worthwhile test value.
The synthetic division is shown in the 4th attachment. You will note that we divide the polynomial p2(x) by its leading coefficient, so the coefficients used for p2(x) in the synthetic division are 1, -13/2, 15, -25/2. The remainder of 0 tells us that (x -5/2) is a factor of p2(x)/2, or (2x -5) is a factor of p2(x).
__
The reduced polynomial is ...
p3(x) = x^2 -4x +5
This can be written in vertex form as ...
p3(x) = (x -2)^2 +1
The positive leading coefficient means the graph opens upward, and the vertex at (2, 1) means there are no real solutions.
The real solutions to p(x) are x = -1, -1, and 5/2.
__
4. The complex solutions will be the solutions to ...
(x -2)^2 +1 = 0
(x -2)^2 = -1
x -2 = ±√(-1) = ±i
x = 2 ±i . . . . complex roots of p(x)
__
5. The graph is shown in the last attachment. The odd degree and positive leading coefficient of p(x) means the overall shape will be from lower left to upper right (/). That is, the sign of the end value of p(x) will match the sign of x.
The graph will touch the x-axis from below at x = -1, and will cross at x = 2.5. There is no particular symmetry.
The final quadratic factor is graphed and its vertex shown. The vertex matches that of the vertex-form equation for p3(x), above.
Answer:
possible rational roots: ±1/2, ±1, ±5/2, ±5, ±25/2, ±25
real solutions to p(x) are x = -1, -1, and 5/2.
(x -2)^2 +1 = 0
(x -2)^2 = -1
x -2 = ±√(-1) = ±i
x = 2 ±i complex roots
1. Evan drove 308 km in the same time that Meghan drove 329 km. If Meghan drove
on average 6 km/h faster than Evan, calculate her average speed and the time taken
for the journey.
Answer:
Her average speed is 94 km/h
Time taken is 3.5 hours
Step-by-step explanation:
Let Evan’s average speed be x km/h.
now since Meghan drove faster, according to the question, we can say her average speed would be x + 6 km/h
Mathematically, time = distance/speed
so; since time is the same; we have
308/x = 329/(x + 6)
cross multiply
329(x) = 308(x + 6)
329x = 308x + 1848
329x-308x = 1848
21x = 1848
x = 1848/21
x = 88 km/h
Meghan average speed = x + 6 = 88 + 6 = 94 km/h
Time taken would be 329/94 = 3.5 hours
WILL GIVE BRAINLIEST
If b^2-4ac>0, which of the following conclusions can be made about the graph of f(x)=ax^2+bx+c, a≠0?
a. The graph has two distinct x-intercepts.
b. The graph has three distinct x-intercepts.
c. The graph has no x-intercepts.
d. The graph has one x-intercept.
Answer:
c. The graph has no x-intercepts.
Step-by-step explanation:
because it will never touch the x axis
A quadratic function is represented as: [tex]\mathbf{f(x) = ax^2 + bx + c}[/tex]
The conclusion from [tex]\mathbf{b^2 - 4ac > 0}[/tex] is that, the graph has two distinct x-intercepts
There are three possible roots of a quadratic function
Complex rootsDistinct real rootsRepeated real rootsWhen [tex]\mathbf{b^2 - 4ac > 0}[/tex], it means that:
The function has distinct real roots
In other words, the function has 2 different values of x
This implies that,
The function crosses the x-axis two times
When the function cross the x-axis, it means that the function has an x-intercept
Hence, the conclusion is:
a. The graph has two distinct x-intercepts.
Read more about quadratic functions at:
https://brainly.com/question/23033812
Suppose f(x) = x². Find the graph of f(x - 2)
Click on the correct answer.
graph 1
graph 2
graph 3
graph 4
Answer:
the answer is graph 1
y=p2 +gr
Find y when p=-5, q=3 and r=-7.
Write p in terms of q, r and y.
Answer:
4
p= √(y-qr)
Step-by-step explanation:
y=p² +qr
p= -5, q=3, r= -7
y= (-5)²+3*(-7)= 25- 21=4p²= y - qr
p= √(y-qr)
HELP
According to the Rational Root Theorem, Negative 2/5 is a potential rational root of which function?
f(x) = 4x4 – 7x2 + x + 25
f(x) = 9x4 – 7x2 + x + 10
f(x) = 10x4 – 7x2 + x + 9
f(x) = 25x4 – 7x2 + x + 4
Answer: Answer is f(x) = 25x4 - 7x2 + x + 4
Step-by-step explanation:
Answer:
d on edg
Step-by-step explanation:
gbhujiklbvnhjkml dxfcgvhj
Answer:
C. 2 1/2
Step-by-step explanation:
Since there is a distance of 6 1/2 units, you have to add and subtract 6 1/2 from the number.
-4 - 6 1/2 = -10 1/2
-4 + 6 1/2 = 2 1/2
Looking at the answer choices, 2 1/2 can represent point Q.
ran 42 miles per hour in 8 hours whats his miles per hour
What’s 30x8+5 divided by 8% =
Answer:
302.5
Step-by-step explanation:
30 x 8
5/8
I hope this helps I'm like 90 percent sure this is right. There is no other answer I could think of so I hope Hope helpa
any help would be amazing, please?!!
Answer:
I think it's C
Step-by-step explanation:
Sorry if I'm wrong
I need to match each one to each other
Answer
speed : metres per second (a)
perimeter : meters (b)
volume : cubic centimetres (d)
area : square metres (c)
What is the probability of a number less than 4 showing when a number cube is rolled?
Answer:
50 percent
Step-by-step explanation:
Answer: there is a 50% chance
Step-by-step explanation:
there are three numbers less than four on a number cube. 3/6 is equivalent to 1/2
Find a value for Ф in radians between 2π² if sin(Ф) = -1/2 and cos(Ф) = √3/2 (Unit Circle)
Answer:
This is the angle in the angle in the fourth quadrant that verifies the given conditions:
[tex]\phi =\frac{11\, \pi}{6} \\[/tex]
Step-by-step explanation:
Notice that in the unit circle, if sin of the angle is negative, and cos of the same angle is positive, we are in the fourth quadrant.
Also, the angle that renders
[tex]sin(\phi)=-\frac{1}{2}[/tex]
in the fourth quadrant, is [tex]\phi =\frac{11\, \pi}{6} \\[/tex]
for such angle, also :
[tex]cos(11 \pi/6)=\frac{\sqrt{3}}2}[/tex]
which verifies the second condition.
why is, 9a is equivalent to 11a - 2a true ?
Answer:
9a is equivalent to 11a - 2a because 11a-2a is 9a.
Step-by-step explanation:
What is the value of x?
Answer:
x =40
Step-by-step explanation:
x and 4x-20 form a straight line which means they add to 180
x+4x-20 = 180
Combine like terms
5x -20 =180
Add 20 to each side
5x = 200
Divide by 5
5x/5 = 200/5
x =40
Answer:
it just looks confusing sry
Step-by-step explanation:
but im usually good at these but it just looks confusing on this one, but maybe it is A. idk sry good luck
Identify the percent of change as an increase or decrease. Then find the percent of change, rounding to the nearest tenth of a percent, if necessary.
60 cars to 24 cars
Answer:
-60% decrease
Step-by-step explanation:
60 is the old value and 24 is the new value.
percent change = [tex]\frac{new - old}{|old|}[/tex] x 100%
so for this problem, you can substitute the values given in the formula:
percent change = [tex]\frac{60-24}{|60|}[/tex] x 100% = [tex]\frac{-36}{60}[/tex] x 100% =
-60% (decrease)
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
Which multiplication expression is equal to 2/3 ÷ 1/2
2/3 ÷ 1/2 = 1.33333333333 or 1.3 for short
-Peter
Answer:
2*2/3 = 4/3
Step-by-step explanation:
2*2/3 = 4/3
solve v=1/3 bh for b
Answer:
3v/h = b
Step-by-step explanation:
1/3 is a given fraction and to get rid of it you must multiply by it's reciprocal of 3/1 or 3. You will also multiply the other side by 3
3 * v = (1/3 bh) * 3 --> 3v = bh
divde both sides by h and you get 3v over h = b
3v/h = b
Hope this helps!
Answer:
3v/h = b
Step-by-step explanation:
v = 1/3bh
3v = bh
3v/h = b
Three of the angles of a polygon are
105.5
sum of the angles in the
polygon is 2520 find each of the other
angles if they are equal to each other
Answer:
three angles of a polygon are each 105.5,the sum of the angles in the polygon is 2520. find each of the other angles if they are equal to each other. For a polygon with n sides and n angles, the sum of the measures of all the interior angles equals (n-2)180 degrees. 16-3=13
Complete the missing parts of the paragraph proof. We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because . We see that is congruent to by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the .
Answer:
it is given , angle 2 , angle 3 , converse alternate exterior angles theorem
Step-by-step explanation:
We know that angle 1 is congruent to angle 3 and that line l is parallel to line m because it is given . We see that angle 2 is congruent to angle 3 by the alternate interior angles theorem. Therefore, angle 1 is congruent to angle 2 by the transitive property. So, we can conclude that lines p and q are parallel by the converse alternate exterior angles theorem .
Answer:
✔ it is given
✔ angle 2
✔ angle 3
✔ converse alternate exterior angles theorem
Where are the stem cells that replace old blood cells located in adults?
A. In the bones
B. In the digestive tract
C. In the brain
D. In the layers of skin
Answer:
A
Step-by-step explanation:
It is specifically in bone marrow. Bone marrow is the tissue comprising the center of large bones.
Plss brainliest
Answer:
In the Bones
Step-by-step explanation:
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Answer:
Yes,she had enough
½pound=8ounces
she needs a total of 24ounces
Step-by-step explanation:
She had enough because ½pound is 8ounces thus 16ounces+8ounces add up to 24ounces.
Answer:
Yes,she had enough
½pound=8ounces she needs a total of 24ounces
Step-by-step explanation:
finding angle measures using triangles
In the given diagram ∠AJF or x comes to be 76°.
What are opposite angles?Opposite Angles are angles directly opposite to each other when two lines intersect in a plane.
We know that ∠JIH+∠JID=180°
107° +∠JID=180°
∠JID=180°-107°
∠JID=73°
∠JDI=31°(given))
In triangle JDI,
∠JDI+∠JID+∠IJD=180°
31° + 73° + ∠IJD =180°
∠IJD =76°
We know that ∠IJD and angle x° are opposite angles.
So, x=76°
Therefore, In the given diagram ∠AJF or x comes to be 76°.
To get more about angles visit:
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Plzzzzzz help me.......
Answer: 4 terms and 8 factors
Step-by-step explanation:
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