Answer:
3√3
Step-by-step explanation:
One way to figure this out is to form equivalent expressions. For example, in this case, 9^3/4 = (3^2)^3/4 = 3^3/2 = 3 * 3^1/2 = 3 * √3.
PLEASE HELPPP ASAP. I WILL GIVE BRAINLIEST!!!
Answer:
Factors: 5x, 3x²y⁵ Not Factor: 10x⁴y³
Step-by-step explanation:
5x is a factor because 15x²y⁶= 5x•3xy⁶
3x²y⁵ is a factor because 15x²y⁶ = 3x²y⁵•5y
10x⁴y³ isn't a factor because 15:10=1.5 isn't integer
TRUE OR FALSE
(b^4)^3 = b^12
Answer:
TRUE
Step-by-step explanation:
if it was b^4 x b^3 then false. but here, would would multiply b^4 by b^3 to make it 12 so true
sorry for bad explanation
Answer:
True
Step-by-step explanation:
If b=2, 2^4 is 16, and 16^3 is 4096.
Also 2^12 is 4096.
So they are equivalent.
Jenny wants to show the gym on a scale drawing. She uses a scale of 1:75. The gym has a length of 12.3 metres. Jenny works out the length of the gym on the scale drawing is 18cm. Is she correct?
Answer:
She is wrong
Step-by-step explanation:
Let us use the scale 1 : 75 to find the length of the gym on the scale drawing.
The scale means that 1 m on the drawing represents 75 m in real life.
Therefore, if the length of the gym is 12.3 cm, then the length of the gym in the scale drawing is:
12.3 / 75 = 0.164 m
Converting to cm:
1 m = 100 cm
0.164 m = 0.164 * 100 = 16.4 cm
She is wrong.
Does -3(x-4)= -3x=12 have one solution, many solutions, or no solutions at all?
Answer:
If the expression is:
-3x + 12 = -3x + 12, infinite solutions
If the expression is:
-3x + 12 = -3x - 12, no solutions
Step-by-step explanation:
Step 1: Distribute
-3x + 12 = 3x = 12
If both lines have the same slope and same y-int, they are the same line and therefore have infinite solutions.
If both lines have the same slope but different y-int, then they are parallel and therefore have no solutions.
HELP ASAP LINEAR EQUATIONS!!
Answer:
y = 4/3x - 10.
Step-by-step explanation:
3x + 4y = 12
4y = -3x + 12
y = -3/4x + 3
If a line is perpendicular to another, the line has a slope that is the negative reciprocal of the other line. Since the given line has a slope of -3/4, the line perpendicular to that line will have a slope of 4/3.
So far, for the equation of the line, we have an equation of y = 4/3x + b.
To find b, simply substitute the coordinates (6, -2) for x and y.
-2 = 4/3(6) + b
b + 4/3(6) = -2
b + 8 = -2
b = -10
So, the equation of the line will be y = 4/3x - 10.
Check your work...
-2 = (4/3)(6) - 10
-2 = 8 - 10
-2 = -2
Hope this helps!
Answer: C) [tex]y = \frac{4}{3} x-10[/tex]
Step-by-step explanation:
First change this equation into slope-intercept form(y = mx + b). y = -3/4x + 3.
For a line to be perpendicular to another line, it must have an opposite reciprocal slope. The opposite reciprocal of -3/4 is 4/3. Thus, the answer is NOT B. Then, attempt to plug in 6, -2 into each equation. The only one where it works is C.
Hope it helps <3
Please answer this question fast in two minutes
Answer:
(3, 0)
Step-by-step explanation:
M = (-3, -4) - mid point
D= (-9, -8)
C=?
--------
Mid point:
x= (x1+x2)/2, y=(y1+y2)/2
-3= (-9 +x1)/2 ⇒ -6= -9 +x1 ⇒ x1= 9-6=3-4= (-8+y1)/2 ⇒ -8= -8 +y1 ⇒ y1= 8-8= 0C= (3, 0)
The diagram shows an irregular octagon. Work out the sum of the interior angles.
Answer:
1080°
Step-by-step explanation:
Sum of interior angles = 180°(n-2)
Where n is the number of sides of the polygon
Therefore,
Sum of interior angles of an octagon =180°(8-2)
=1080°
A polygon is a geometrical shape that has between 1 to an infinite number of sides. A polygon can come in two forms:
Regular polygonIrregular polygonThe sum of the interior angles of the irregular octagon is 1080°
The formula to solve for the sum of the interior angles of an irregular polygon is given as:
(n - 2) x 180°
Where n = number of sides.
An octagon is a polygon that has 8 sides. Hence, n = 8
So: (8 - 2) x 180°
= 6 x 180°
= 1080°
Therefore, the sum of the interior angles of the irregular octagon is 1080°
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cos^4a=1/8(3+4cos2a+cos4a)
Answer:
Below.
Step-by-step explanation:
cos2a = 2 cos^2 a - 1
cos^4a = 8cos^4 a - 8cos^2 a + 1
Right side of the identity =
1 /8(3 + 4cos2a + cos4a)
= 1/8( 3 + 4(2 cos^2 a - 1) + 8cos^4 a - 8cos^2 a+1)
= 1/8 (3 + 8 cos^2 a - 4 + 8 cos^4 a - 8cos^2 a + 1)
= 1/8 (8cos^4 a)
= cos^4 a = the left side.
I realised that I should have derived the identity for cos 4a as well , which i have done in the picture.
The given identity, cos⁴a = 1/8(3 + 4cos2a + cos4a) is proved.
How is proving identities done?To prove a given identity, say f(a) = f(b), we proceed to simplify any of the expressions among the L.H.S. f(a) and the R.H.S. f(b), to get the other term. If we get the simplified form as the other term, our identity holds and is proved.
How do we solve the given question?We know cos2A = 2cos²A - 1.
Going by the same formula, we derive the value of cos4A.
cos4A = 2cos²2A - 1
or, cos4A = 2(2cos²A - 1)² - 1, putting value of cos2A
or, cos4A = 2(4cos⁴A - 4cos²A + 1) - 1, (expanding (2cos²A - 1)² using the formula of (a-b)² = a² -2ab + b²)
or, cos4A = 8cos⁴A - 8cos²A + 2 - 1, (expanding)
or, cos4A = 8cos⁴A - 8cos²A + 1, (simplifying)
∴ cos4A = 8cos⁴A - 8cos²A + 1.
Given identity to us is, cos⁴a = 1/8(3 + 4cos2a + cos4a).
To prove the identity, we proceed with the R.H.S.:
= 1/8(3 + 4cos2a + cos4a)
We put values of cos2A and cos4A in this expression, to get
= 1/8(3 + 4(2cos²a - 1) + (8cos⁴a - 8cos²a + 1))
Expanding the equation, we get
= 1/8(3 + 8cos²a - 4 + 8cos⁴a - 8cos²a + 1)
Simplifying, we get
= 1/8(8cos⁴a) = cos⁴a = L.H.S.
Hence, the given identity is proved.
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What is 3/5 of £85? PLEASE HELPPP
Answer:
51
Step-by-step explanation:
85/5x3=51
Answer:
Hey!
3/5 of 85 = 51!
Step-by-step explanation:
3/5 = 0.6
So 0.6 x 85 = 51!
HOPE THIS HELPS!!
HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!...............................................................please?
Answer:
Hey!
Your answer should be
Step-by-step explanation:
To find the BASE: 8 x 4 = 32cm^2
To find the angled TOP FACE: 10 x 4 = 40 cm^2
To find the TRIANGLES: (6x8)/2 x 2 = 48 cm^2
To find the REAR FACE: 6 x 4 = 24 cm^2
TOTAL: 32 + 40 + 48 + 24
SUFACE AREA: 144cm^2
Hope this helps!
Answer:
192 cm ^3
Step-by-step explanation:
find area of cross section x depth
6 times 8 is 48
depth is 4
48 x 4 is 192
Plz Help!!! I really do not get this lesson and I really need to pass it to move onto the next I am kind of getting it, I want to make sure my answer is correct. IS it sas?
Answer:
SSS
Step-by-step explanation:
I think it would be SSS (side, side, side)... let me know if I'm wrong and I'll try again:)
Check out the diagram below. I've marked the angles and sides that are congruent. Notice how the marked sides are not between the marked angles for either triangle. So we're dealing with AAS instead of ASA. The order is important. If we wanted to use ASA, then we would have to know DE = TU, both of those sides are between the marked angles.
A cyclist travels at an average speed of 11mph for 3 hours. how far did she travel in miles
Answer:
She traveled 33 miles.
Step-by-step explanation:
11*3 = 33
Answer:
33
Step-by-step explanation:
11mph times 3 hours= 33 miles
Please answer for brainliest!!!Find the equation of a line that passes through the point (-2,1) and has a gradient of 3. Leave your answer in the form ax+by=c Where a, b and c are integers
Answer:
3x - y = - 7
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 3 and (a, b) = (- 2, 1) , thus
y - 1 = 3(x + 2) ← distribute
y - 1 = 3x + 6 ( subtract 6 from both sides )
y - 7 = 3x ( subtract y from both sides )
- 7 = 3x - y, that is
3x - y = - 7 ← in standard form
A micrometer is capable of measuring the thickness of an object to units of one hundredth of a millimeter. Suppose an analog micrometer is used to measure the diameter of a ball bearing that is roughly 1.5 cm across. Select a reasonable value and error for the measurement of the bearing’s diameter. How did you choose the amount of error?
Answer:
Check Explanation
Step-by-step explanation:
The options for the question aren't available. But it is given that the micrometer screw gauge in question can measure up to a hundredth of a millimeter.
We now want to measure a ball with diameter that is roughly 1.5 cm.
1.5 cm = 15.00 mm
Since our micrometer screw gauge can measure up to a hundredth of a millimeter, the possible true diameter of the ball will range between 14.995 mm and 15.004 mm
The error in measurement can range from -0.004 mm to +0.005 mm.
The amount of error was picked based on the approximate measurements on the analogy micrometer screw gauge that the equipment will still classify as roughly 15 mm (1.5 cm)
Hope this Helps!!!
Answer:
1.715 cm ± 0.005 cm; The standard error was chosen as +(-) 1/2 the smallest unit that can be precisely measured on the device, or 0.01 cm.
Step-by-step explanation:
If 8a^2+ 2b^2= 10 and ab = 2, then what is the value of (2a+b)^2
Answer:
13
Step-by-step explanation:
We have:
8a^2 + 2b^2 = 10
Dividing both sides by 2,
=> 4a^2 + b^2 = 5
or (2a)^2 + b^2 = 5
We also have ab = 2
=> (2a + b)^2
= (2a)^2 + 2(2a)(b) + b^2
= (2a)^2 + b^2 + 4ab
= 5 + 4(2)
= 5 + 8
= 13
Choose the best estimate for the division problem below.
8.3 /0.7
A. 12
B. 10
c. 9
Answer:
12
Step-by-step explanation:
8.3 / .7
Multiply each by 10 to get rid of the decimal
83/7
We know that 84/7 =12 so this is close to 12
A standard fair dice is rolled twice. What is the probability of getting an odd number on the first roll and any number except 4 on the other?
Answer:
Let,O and P be the events of getting odd number and any other number except 4 respectively.
n(S)=6
O=(1,3,5) so, n(O)=3
P=(1,2,3,5,6) so, n(P)=5
So,probability of getting an odd number and any other number except 4 will be
n(O)/n(S) × n(P)/n(S)
=3/6 × 5/6
=5/12
May be it's the answer I guess. Hope you're clear with it:-)
Which methods could you use to calculate the y-coordinate of the midpoint of a vertical line segment with endpoints at (0,0) and (0, -12)?
Answer:
add the y coordinates of the two lines and divide by 2
Step-by-step explanation:
½[0+(-12)]
½[0-12]
½[-12)
y co-ordinate of the midpoint is -6
Which statement describes the end behavior of the function f(x) = 3|x − 7| − 7? A. As x approaches negative infinity, f(x) approaches negative infinity. B. As x approaches negative infinity, f(x) approaches positive infinity. C. As x approaches positive infinity, f(x) approaches negative infinity. D. As x approaches positive infinity, f(x) is no longer continuous.
Answer:
Our expressions is f(x) = 3|x-7|-7
in positive values |x-7| is x-7 ⇒f(x) = 3x-28in negative ones |x-7| is 7-x wich is the opposite⇒f(x) = 14-3xLet's calculate the limits in +∞ and -∞
[tex]\lim_{x \to +\infty} (3x-28)=[/tex][tex]\lim_{x \to+ \infty} 3x[/tex] = +∞ [tex]\lim_{x \to- \infty} (14-3x) = \lim_{x \to- \infty} -3x[/tex] =+∞So the right staement is B
As x approaches positive infinity, f(x) approaches negative infinity.
What is a function?A relation is a function if it has only One y-value for each x-value.
The function f(x) = 3|x − 7| − 7 is a piecewise function, where the absolute value function has two cases depending on the sign of (x - 7).
When (x - 7) is positive, the function becomes 3(x - 7) - 7 = 3x - 28, and when (x - 7) is negative, the function becomes -3(x - 7) - 7 = -3x + 14.
As x approaches positive infinity, both cases approach negative infinity because the dominant term in each case is the linear term (3x or -3x) as x becomes large.
Therefore, the end behavior of the function is that as x approaches positive infinity, f(x) approaches negative infinity.
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Identify the graph of y^2+8x=0 for theta=π/6 and write an equation of the translated or rotated graph in general form.
Answer:
parabola; (x)^2-2(square root 3) xy+3(y)^2 +16 (square root 3) x+16=0
Step-by-step explanation:
edge’s possible answer 2020
Which function has real zeros at x = 3 and x = 7?
f(x) = x2 + 4x - 21
Cf(x) = x2 - 4x - 21
Cf(x) = x2 - 10x + 21
f(x) = x2 - 10x - 21
Answer:
f(x) = x2 – 10x + 21
Step-by-step explanation:
I got it because you substract and add the last part
what is the product of the polynomials below? (8x^2-4x-8) (2x^2+3x+2)
Answer:
B
Step-by-step explanation:
you can FOIL or set up a box that is 3 x 3 (which is what I recommend) to solve it.
The product of the given polynomials is [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]. The correct option is- B. [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]
Product of polynomialsFrom the question, we are to determine the product of the given polynomials
The given polynomials are
(8x^2-4x-8) (2x^2+3x+2)
Their product can be determined as follows
[tex](8x^2-4x-8) (2x^2+3x+2)[/tex]
[tex](8x^2) (2x^2+3x+2)-4x(2x^2+3x+2)-8 (2x^2+3x+2)[/tex]
Clear the brackets
[tex]16x^4 +24x^3+16x^2 -8x^3-12x^2-8x-16x^2-24x-16[/tex]
Now, collect like terms
[tex]16x^4 +24x^3 -8x^3-12x^2+16x^2-16x^2-8x-24x-16[/tex]
Simplifying
[tex]16x^4 +16x^3 -12x^2-32x-16[/tex]
Hence, the product of the given polynomials is [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]. The correct option is- B. [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]
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Please Help me ASAP Just answers please ;)
Answer:
C
Step-by-step explanation:
< means exclusive, so open hole
≤ means inclusive, so closed dot
also, you can see that the values for y are going down, like 6, 4, 2. That's only in answer C.
Point A is located at (0, 4) and point C is located at (-3, 5). Find the x value for point B that is located the distance from point A to point C.
Answer: If point B is on the same line and the same distance from points A and C, the location is (-1.5, 4,5)
Step-by-step explanation: For point B to be the same distance from the other two points, it must be halfway between them.
for the x-value, find the number that is halfway between 0 and -3. That is -1.5
For the y-value, find the number that is halfway between 4 and 5. That is 4.5
The coordinate for point B is (-1.5, 4.5)
help !!
Evaluate 8 - 50g + 2h when g = 10 and h = 5
Answer:
The evaluated answer to this equation is -482
Step-by-step explanation:
h = 5
g = 10
Plug in your numbers for the equation.
8 - 50(10) + 2(5)
Multiply -50 by 10 and multiply 2 by 5.
8 - 500 + 10
Subtract 8 by -500.
-492 + 10
Add 10 to -492.
-482
What are the coordinates of the vertex of the parabola described by the equation below? y=-2(x+7)^2+22
Answer:
(-7,22)
Step-by-step explanation:
x+7 moves the graph left 7 (-7)
+22 moves it up 22
the 2 at the beginning is a shrink and it doesn't matter when finding the vertex
What is the slope of the line represented by the equation y=4/5x-3? A.-3 B.-4/5 C.4/5 D.3
Answer:
4/5
Step-by-step explanation:
y = 4/5 x -3
This is written in slope intercept form
y =mx + b where m is the slope and b is the y intercept
the slope is 4/5 and the y intercept is -3
23. A 340 million square mile forest is how many hectares?
Answer:
88059595400 hectares
Step-by-step explanation:
Convert 340 million square miles into hectares.
1 square mile = 258.99881 hectares
340,000,000 square miles = 88059595400 hectares
The forest is 88059595400 hectares.
Answer:
[tex]8.80597(10^{10})[/tex] hectares
Step-by-step explanation:
This is unit conversion:
[tex]340,000,000miles(\frac{258.999 hectares}{1 mile} )[/tex]
We then multiply, with our units miles canceling out and leaving us with hectares:
[tex]8.80597(10^{10})[/tex] hectares
or
88059700000 hectares
Write the equation of the line that passes through (2, 3) and is parallel to the line 12x – 5y = 2.
Answer:
The answer is
5y - 12x = - 9Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
12x - 5y = 2
5y = 12x - 2
Divide both sides by 5
y = 12/5x - 1/5
Comparing with the above formula
Slope / m = 12/5
Since the lines are parallel their slope are also the same.
Slope the parallel line = 12/5
Equation of the line using point (2,3) is
[tex]y - 3 = \frac{12}{5} (x - 2) [/tex]
Multiply through by 5
That's
5y - 15 = 12(x - 2)
5y - 15 = 12x - 24
We have the final answer as
5y - 12x = - 9Hope this helps you
Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help. StartFraction 7 Over 8 EndFraction blank line StartFraction 2 Over 4 EndFraction StartFraction 7 Over 8 EndFraction StartFraction 2 Over 4 EndFraction A circle divided into 8 equal parts. 7 parts are shaded. A circle divided into 4 equal parts. 2 parts are shaded. is greater than cannot be compared to is less than is equal to
Answer:
7/8 is greater than 2/4
Step-by-step explanation:
In this question basically, what we are trying to do is to compare fractions and state which is greater or less.
The first fractions in the question is;
7/8 _ 2/4
Now, one of the best ways to go around comparing fractions is looking at the denominators.
In this question, the denominators in the fractions are 8 and 4.
The next thing to do here is to multiply the numerator and the denominator of the first by 4 and the numerator and the denominator of the second by 8. This makes it possible for us to have the same denominator in both fractions and thus compare both fractions directly.
Thus, what we have would be;
7/8 = 7/8 * 1 = 7/8 * 4/4 = 28/32
Now for the fraction;
2/4 = 2/4 * 1 = 2/4 * 8/8 = 16/32
We can see they both have a common denominator and we can directly compare their numerators.
Obviously, 28 is greater than 16 and this makes a case for the fact that 7/8 is greater than 2/4
So what we have in the blank is ; is greater than
Kindly note that the other part of the question that talks about shading circles is same as saying 7/8 and 2/4
Answer:
is less than
Step-by-step explanation:
look at da graph and watch mario.