Answer:
Negative
Step-by-step explanation:
From the number line we see that [tex]m[/tex] is negative and [tex]n[/tex] is positive
The expression in the parentheses, [tex](-m . n^2)[/tex] is positive since
[tex]-m[/tex] is the negative of a negative number and the sign of that is positive
[tex]n^2[/tex] is positive since a positive (or negative) number squared is always positive
[tex]\frac{m}{n}[/tex] is a negative number. If you divide a negative number, the sign of the result is negative
So evaluating the whole expression [tex]\frac{m}{n} .( m . n^2)[/tex]
gives us a negative number multiplied by a positive number and the result is a negative number
At a sale, dresses were sold for $192 each. This price was 96% of a dress's original price. How much did a dress originally cost?
Answer:
it was 200
Step-by-step explanation:
srry if its wrong
Ram is three times as old as his sister Sudha. After three years, he will
be twice as old as Sudha. Find their present age.
Answer:
Step-by-step explanation:
Let's replace Ram with r and Sudha with s.
(r = 3s) + 3 = (r = 2s)
(r = 2x) = ( r = 3s - 3)
3s - 3 = 2x
3s - 1x = 2x
s = 3
If r = 3s and s = 3, then r = 3 x 3 = 9.
Ram is 9 years old and Sudha is 3 years old.
Answer:
age of ram = 9 years
and the age of sudha is 3 years
Step-by-step explanation:
let the present age of ram be x
and his sister sudha's present age be y
Ram is three times as old as his sister Sudha
so, x = 3y ----i)
After three years, he will be twice as old as Sudha.
so , x+3 =(y+3)2
=> x+3 = 2y+6 ----ii)
now putting the value of x in equation ii)
=> 3y+3 = 2y+6
=> 3y-2y = 6-3
=> y = 3 { the present age of sudha is 3 year}
now the age of ram = x = 3y
=> x = 3(3)
=> x = 9
find sin(x) if cos(x) = -22/29
Answer:
sin(x) = ±(√357)/29 ≈ ±0.651533
Step-by-step explanation:
The relation between sine and cosine is ...
sin(x) = ±√(1 -cos(x)^2)
sin(x) = ±√(1 -(-22/29)^2) = √(1 -484/841) = √(357/841)
sin(x) = ±(√357)/29
_____
Additional comment
The sign of the cosine is negative, which places the angle in quadrant II or III. In quadrant II, the sine is positive; in quadrant III, the sine is negative. That is, we cannot tell which sign to apply from the information given.
(20, 21, 29) is a Pythagorean triple. We suspect a typo in the question: 22 is used where 20 or 21 is likely intended.
NO LINKS!! Which graph illustrates even symmetry? Odd symmetry? Please support your response.
Answer:
a) odd
b) even
Step-by-step explanation:
a) It is an odd symmetry because it is symmetric about the origin, meaning if you rotate an odd function 180° around the origin, you will have the same function you started with.
b) It is an even symmetry because it reflects over the y-axis. The left and right looks the same.
1+2*3-4. Please answer
Answer:1(2x3)-4= 3
2x3= 6 -4=2+1=3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
2x3=6
1+6=7
7-4=3
The General Sherma, the largest tree in the world, has a maximum diameter of 36.5 feet. What is the circumference of the tree?
Answer:
The General Sherman Tree is the world's largest tree, measured by volume. It stands 275 feet (83 m) tall and is over 36 feet (11 m) in diameter at the base. Sequoia trunks remain wide high up. Sixty feet above the base, the Sherman Tree is 17.5 feet (5.3 m) in diameter.
Step-by-step explanation:
Answer these questions about the steps of simplifying this rational expression:
Part A What is the GCF of the terms in the numerator and denominator? Rewrite the expression by factoring out any common factors.
Part B Write the quadratic expressions in the numerator and the denominator in factored form.
Part C Cancel the common factor of the numerator and the denominator to write the expression in simplified form.
Answer:
x²
Step-by-step explanation:
4x²-14x+6
x²-7x²+12x
=2×2×x×x-2×7×x+2×3
x×x×x-7×x×x+2×2×3
= -2+2
x×x
the 2s cancle each other
= x²
PLEASE HELP QUICKLY 10 BRAINLY POINTS
The student store buys one dozen pencils for 96¢ and sells them for 20¢ each. How much profit does the store make on a dozen pencils?
Group of answer choices
$0.12
$1.44
$0.24
Answer: $1.44
Step-by-step explanation:
PLEASEPLEASEPLEASEPLEASE
Write the English phrase as an algebraic expression. Then simplify the expression. Let x represent the number.
Seven times the product of negative six and a number.
What is the algebraic expression?
(Do not simplify.)
What is the slope intercept form of the equation of the line passing through (1,2) and (3,10).
Answer:
y = 4x - 2
Step-by-step explanation:
slope = (10 - 2)/(3 - 1) = 8/2 = 4
Let the equation be y = 4x + b
Sub (1, 2) into it,
2 = 4*1 + b
so b = 2 - 4 = -2
The equation is y = 4x - 2
When a number ,x, increases by 12% and then decreased by 12% then the new number will be?
Answer: The new number is 1.44% smaller than the original.
=========================================================
Explanation:
To increase by 12%, we involve the multiplier 1.12
Think of 1.12 as 100% + 12% = 1 + 0.12 = 1.12
We go from x to 1.12x
To decrease by 12%, we will use the multiplier 0.88 because 1 - 0.12 = 0.88
Think of it like a discount. If you save 12%, then you pay the remaining 88%
So 0.88*1.12x = 0.9856x
The value 0.9856 is smaller than 1, meaning that overall we have a net discount going on.
The discount rate is 1 - 0.9856 = 0.0144 = 1.44%
In other words, x ultimately goes down by exactly 1.44%
----------------
If you want to use an actual number to see an example, let's go for x = 100
Increasing 100 by 12% means we increase by 0.12*100 = 12
We go from 100 to 112
Then decreasing by 12% means the value goes down by 0.12*112 = 13.44 and drops to 112-13.44 = 98.56
The original value 100 becomes the final value 98.56
This is a percent decrease of (100-98.56)/100 = 0.0144 = 1.44%
A company's total cost, in millions of dollars, is given by C(t) where t is the time in years since the start-up date. The graph of C(t) is shown to the right. Find each of the following.a) The marginal cost,
b)
c)
d) Find C(t) and
The marginal cost that can be deduced from the information given about the company is 40e^-t.
What is a a marginal cost?Marginal cost simply means the change in production cost due to an additional unit produced.
From the complete question, the cost function is given as 60 - 40e^-t. Therefore, the marginal cost will be:
C'(t) = d/dt (60 - 40e^-t)
= d/dt (60) - 40 d/dt (etc)
= 0 - 40(-1)e^-t
= 40 e^-t.
Learn more about marginal cost on:
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Please help me with this question
Answer:
13.5m/s
Step-by-step explanation:
formula is v=u + at
as given:
u=3m/s
a=1.5m/s²
t=7secs
v=3+1.5(7)
v=3 + 10.5
v = 13.5m/s
The unit for velocity is m/s
Answer:
a) 87
b) 13.5
Step-by-step explanation:
for the first question we've been given the equation and the parameters needed
so we just input the parameters
3a+4b when a is 17 and b is 9
therefore the answer is 3*17 + 4*9
51+36=87
second question
that's an equation of motion and we've been given all the parameters we also need so we just input the parameters In the equation
v=u+at
v=3+1.5*7
v= 3+10.5
v=13.5
A recycling bin is in the shape of a rectangular box. Find the height of the box if its length is 15 ft its width is 10 ft, and its surface area is 600 ft². (In the figure, h=height. Assume that the given surface area includes that of the top lid of the box.)
Answer:
The surface area of a rectangular box is the sum of the areas of the flat rectangular faces of the box. The height is the vertical side of the box. So the other sides are the length and width. Try to picture a box in your head, or you can draw it on paper.
Let x = length
Let y = width
Let h = height
Using these variables, we can write an equation that represents the surface formula.
A = 2(area of bottom face) + 2(area of front face) + 2(area of side face)
A = 2xy + 2xh + 2yh
This is general equation for surface area. All we need to do is plug in the known values into it and solve for h.
496 = 2(18)(8) + 2(18)h + 2(8)h
496 = 288 + 36h + 16h
Now it comes down to simple algebra. Isolate the h terms and solve for h from there.
208 = 52h
Divide both sides of the equation by 52 to get your height. I let you finish up here.
Step-by-step explanation:
Pls help me pls pls pls pls pls
Answer:
-2, 0, d
refer the image attached
Answer:
d > -2
Graph :
Brainliest if correct
Answer:
30
Step-by-step explanation:
(3+3³)
3+27
30
Answer:
[tex]30[/tex]
Step-by-step explanation:
[tex]3\cdot(1+3^2)\\\\3\cdot(1+9)\\\\3\cdot(10)\\\\30[/tex]
Remember to follow PEMDAS
At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 2 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when the pile is 2 feet high?
Answer:
[tex]\frac{2}{9\pi}ft^3/min[/tex]
Step-by-step explanation:
Given
[tex]\frac{dV}{dt}=2ft^3/min\\ \\\frac{dh}{dt}=?\\ \\V_{cone}=\frac{1}{3}\pi r^2h\\\\d=2r=3h\\\\\frac{d}{2}=r=\frac{3}{2}h\\\\h=2[/tex]
Calculation
[tex]V=\frac{1}{3}\pi r^2h\\ \\V=\frac{1}{3}\pi(\frac{3}{2}h) ^2h\\\\V=\frac{1}{3}\pi(\frac{9}{4}h^2)h\\ \\V=\frac{9}{12}\pi h^3\\ \\V=\frac{3\pi}{4}h^3\\ \\\frac{dV}{dt}=\frac{9\pi}{4}h^2\frac{dh}{dt}\\ \\2=\frac{9\pi}{4}(2)^2\frac{dh}{dt}\\ \\ 2=9\pi\frac{dh}{dt}\\ \\ \frac{2}{9\pi} =\frac{dh}{dt}[/tex]
Therefore, the rate that the height of the pile is changing when the pile is 2 feet high is [tex]\frac{2}{9\pi}ft^3/min[/tex].
write a linear equation that passes through the points(2,-2) and (0,1)
Answer:
Slope intercept: y = -3/2x + 1
Point slope: y + 2 = -3/2 * (x - 2) [Forgot to add the work for this, I will add it if you need it, feel free to ask.]
Step-by-step explanation:
m = (change in y)/change in x)
But also
m = y_2 - y_1/x_2 - x_1
So lets substitute
m = 1 - (-2)/0 - (2)
Lets find the slope
m = 3/0 - (2)
m = 3/-2
m = -3/2 (Moved the negative)
Now we find the value of b using the equation of a line.
y = mx + b
y = (-3/2) * x + b
y = (-3/2) * (2) + b
-2 = (-3/2) * (2) + b
Now we find the value of b
Lets rewrite
-3/2 * 2 + b = -2
Cancel the CF of 2
-3 + b = -2
Move the terms without b to the right
b = -2 + 3
b = 1
Now we substitute our values of the slope and y-int into y = mx + b to find the equation.
y = -3/2x + 1
Answer:
[tex]y=\frac{-3}{2}x-1[/tex]
Step-by-step explanation:
Given the two points, we can use the slope formula to get the slope of our equation.
[tex]\frac{y_2-y_1}{x_2-x_1}=m[/tex]
Plug in what we know
[tex]\frac{(1)-(-2)}{0-2}=m[/tex]
[tex]m=\frac{-3}{2}[/tex]
[tex]y=\frac{-3}{2}x-b[/tex]
Plug in one of the points given and solve to find our y-intercept [b]
[tex]-2=\frac{-3}{2}(2)-b[/tex]
[tex]b=1[/tex]
(we already know our y-intercept since we're given what y is when x is 0 [hence (0,1)], but this is how it is done if we did not know it initially)
Final equation
[tex]y=\frac{-3}{2}x-1[/tex]
Someone help me pls
Answer:
1 5/8
Step-by-step explanation:
Heather jogged 5 miles.
How many feet did she jog?
1 mi = 1760 yd, 1 yd = 3 ft
Enter your answer in the box
ft
Answer:
26400
Step-by-step explanation:
1 mi=1760 yd
5mi=8800yd
1yd=3ft
8800yd=26400ft
If Heather jogged 5 miles in terms of feet he jogged 26400 feet.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Heather jogged 5 miles.
Also given that 1 mi = 1760 yd and 1 yd = 3 ft.
Therefore, If Heather jogged 5 miles then he jogged 5×1760 yards and
5×1760×3 feet which is,
= 26400 feet.
learn more about the unitary method here :
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Order the side lengths , , , , and from least to greatest.
(Note that the figure is not drawn to scale.)
F
G
H
I
Answer:
1. FH, 2. GH, 3.IH 4. GI, 5. FG
Step-by-step explanation:
According to a certain geometric theorem, the smallest angle is always opposite to the smallest side of a triangle. Likewise, the largest angle is always opposite to the largest side. Using this theorem we can properly order the angles and sides.
Additionally, the interior degrees of a triangle will always be 180, and the interior of this quadrilateral is 360 degrees. Using this we can determine the missing angles.
180 - 75 - 55 = 50 (first missing angle)
180 - 59 - 63 = 58 (second missing angle)
The smallest angle would be 50 degrees and the largest 75.
The second smallest is 55 degrees, the third smallest is 58 degrees, the fourth smallest is 59 degrees, and the fifth is 63 degrees.
Now, one thing that seems a bit confusing is the fact that GH is opposite to 2 different angles, so how do we know WHICH angle to use to find its length. From what I understand, we should be able to find the average of the two angles across from this side to see what its place would be in terms of length.
63 + 50 = 56.5
This would make side GH larger than FH but less than HI
This is how I would solve the problem, and I think this is the correct order. Please let me know whether it turns out right.
Mark the formula/theorem below
The angle measures bigger means the opposite side of angle is bigger.Here
55<59<63<75So the order is
FH<IH<GI<GH<FGHELP ASAP
What is the correct expanded form and value of (4/5)³ ?
Answer:
(4/5)³ = 4/5 * 4/5 * 4/5 = 64/125.Step-by-step explanation:
An exponent is a number that makes another number multiply itself.
If it's on a fraction, then we need to do this:
4/5³ = 4/5 * 4/5 * 4/5.It can be confusing.
Remember,
We are not adding.
Please answer the question in the picture
Answer:
(y-8) (y-8)Step-by-step explanation:
→ y² -16y +64
→ y²-8y-8y+64
→ y(y-8) -8(y-8)
→ (y-8) (y-8)
Kelly is taking a cross-country road trip. She was able to drive 325 miles in 2 days. If her car gets 30 miles to the gallon, how many gallons of gas did she use for the trip?
Answer:
the awnser is 19,500
Step-by-step explanation:
you multiply 325 × 2=650 then you multiply 30×650=19,500
Hi everyone same as a while ago please help me with this :))) (with solution plzz) Thank you!
6.) Convert 820 cg to g.
7.) Convert 3.8 L to mL.
8.) Convert 56000 cL to L
9.) Convert 63 dL to mL.
10.) Convert 12 in to cm
11.) Convert 4 mi to ft.
12.) Convert 16 ft to cm.
(You don't have to answer all of them , Half of it is ok like 9-12 ) Thank you
Answer:
6. 8.2g
7. 3800 ml
8. 560 L
9. 6300 ml
10. 30.48cm
11. 21120 ft
12. 487.48cm
Step-by-step explanation:
820 ÷ 100
3.8 × 1000
56000 ÷ 100
63 × 100
12 × 2.54
4 × 5280
16 × 30.48
Please mark me as brainliest
MULTIPLE CHOICE QUESTION
SOLVING SYSTEMS OF EQUATIONS BY ELIMINATION
5x=y=7- 20-49:22
+ = 14
21 x = 42
2x-y=5
4x+2y=-10
x + 4y = 14
What is the value of y in this system?
Hint: Plug in the value of x to find y.
3
-2
-3
2
Answer:
(Q.1) No solution
(Q.2) True
(Q.3) x = 4 - 2y
(Q.4) True
Step-by-step explanation:
(Q.1) As shown in the first attached figure.
By graphing. x + 2y = 8 & x + 2y = -4
The two lines are parallel, there is no intersection points between the lines.
So, there is no solution to the system of equations.
Also, we should note the parallel lines have the same slope
to find it make the equation similar to y = mx + c where m is the slope
at this situation m = -1/2
===================================================
(Q.2) As shown in the second attached figure.
By graphing the system of inequalities y> -3x+2 & y<2x+1
The Shaded area represents the solution of the system of inequalities
And the point (4,2) is inside the shaded area
So, The ordered pair (4,2) is a solution to the system of inequalities.
====================================================
(Q.3) solving the system { x+2y=4 & 2x+2y=6 } by substitution
From the first equation x + 2y = 4
we will find x in terms of y then plug it into the second equation
So, x + 2y = 4 ⇒ x = 4 - 2y
=====================================================
(Q.4) As shown in the third attached figure.
By graphing. 2x + 4y = 8 & x + 2y = 6
The two lines are parallel, there is no intersection points between the lines.
So, there is no solution to the system of equations.
Also, we should note the parallel lines have the same slope
to find it make the equation similar to y = mx + c where m is the slope
at this situation m = -1/2
help me please 20
0000
A bag contains 4 red marbles , 8 blue marbles and 5 green marbles . If three marbles are drawn out of the bag what is the probability to the nearest 1000th that all three marbles drawn will be green '
Pleaseee help this is compound probability..
Answer:
0.025
Step-by-step explanation:
The solution is in the attached file
What is an equation of the line that passes through the points (-6, 5) and (6, 7)?
Answer:
[tex]y=\frac{1}{6}x+6[/tex]
Step-by-step explanation:
Let [tex](x_1,y_1)\rightarrow(-6,5)[/tex] and [tex](x_2,y_2)\rightarrow(6,7)[/tex]
Determine slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\ \\m=\frac{7-5}{6-(-6)}\\ \\m=\frac{2}{6+6}\\ \\m=\frac{2}{12}\\ \\m=\frac{1}{6}[/tex]
Use either ordered pair to find the y-intercept
[tex]y=mx+b\\\\7=\frac{1}{6}(6)+b\\\\7=1+b\\\\6=b[/tex]
Final equation
[tex]y=\frac{1}{6}x+6[/tex]