Answer:
81Step-by-step explanation:
3 exponent 4
[tex] = {3}^{4} [/tex]
= 3 × 3 × 3 × 3
= 81 (Ans)
Please help ASAP. Differentiating polynomials
Answer:
Step-by-step explanation:
If the function is
[tex]y=x^2-4x[/tex], then its derivative is
y' = 2x - 4. This is equal to 0 where
2x - 4 = 0 and
2x = 4 so
x = 2. When x = 2 in the original equation:
[tex]y =2^2-4(2)[/tex] so
y = -4. So the coordinate is (2, -4). On to the next one:
If the function is
[tex]y=25x +\frac{1}{x}[/tex] then its derivative is
[tex]y'=25-\frac{1}{x^2}[/tex]. This is equal to 0 where
[tex]25-\frac{1}{x^2}=0[/tex] and
[tex]-\frac{1}{x^2}=-25[/tex] or, in simpler terms:
[tex]\frac{1}{x^2}=\frac{25}{1}[/tex] so
[tex]25x^2=1[/tex] and
[tex]x^2=\frac{1}{25}[/tex] so
x = ±[tex]\sqrt{\frac{1}{25} }[/tex] so
x = [tex]\frac{1}{5},- \frac{1}{5}[/tex]. When you plug those into the original equation, you get the coordinates
[tex](\frac{1}{5},10)[/tex] and [tex](-\frac{1}{5},-10)[/tex]
A college had a tuition of $35,000, then increased it by 10%, then decreased it by 5%. What is the new tuition of the college after this increase and decrease?
Answer:
$36,575 is the new tuition
A watch that originally cost $110 has been marked down to $88. What was the percent of the markdown ?
12%
10%
25%
20%
Answer:
20%
Step-by-step explanation:
When calculating percents, it is important to divide by the initial value, not the end value. The formula for calculating percents is
[tex]\frac{finalvalue - inititalvalue}{initialvalue} * 100[/tex]
Plugging our values into this formula, we get
[tex]\frac{88-110}{110} * 100 = 20[/tex] as our answer.
What is the value of x?
OA 73°
OB. 71°
OC. 70°
OD. 68°
Answer:
OB.71
Step-by-step explanation:
correct me if I'm wrong
Answer:C.70
Step-by-step explanation:
Write 5/8 as a sum of fractions two different ways.
Answer:
2/8 + 3/8
1/8 + 4/8
Step-by-step explanation:
I hope this is what you mean!
If this helps you, please mark brainliest!
The requried, 5/8 can be expressed in two different ways of the sum as 1 / 8 + 4 / 8 and 2/8 + 3/8.
What is the fraction?Fraction is defined as the number of compositions that constitutes the Whole.
Here,
As mentioned in the quesiton, to determine 5/8 as a sum of fractions in two different ways.
5 / 8 = a / 8 + b / 8
5 = a + b
So the above-modeled equation, gives the required fraction, by assuming a value that satisfies the equation,
For a = 1, 2, 3, 4 , b = 4, 3, 2, 1
So different combination is given as, 1 / 8 + 4 / 8 and 2/8 + 3/8.
Thus, the requried, 5/8 can be expressed in two different ways of the sum as 1 / 8 + 4 / 8 and 2/8 + 3/8.
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Please help me it's urgent!
Match the graph with the correct set of equations for each linear system.
A factory makes orange paint by mixing red paint and yellow paint in the ratio 7:2. The factory makes 2700 litres of orange paint every day. How many litres of yellow paint does the factory use every day?
Answer:
2700÷9=300
300×2=600liters yellow paint
which segments are congruent?
Answer:
LN and NK
Step-by-step explanation:
line LK was bisected (cut in half) by JM
the segment created by the bisector will be congruent
Sally is 54 years old and her mother is 80, how many years ago was Sally’s mother times her age?
41 years ago, when Sally was 13 and her mother was 39.
Step-by-step explanation: I've heard this question b4
Rewrite the following quadratic function in vertex form. Then, determine if it has a maximum or minimum and say what that value is.
y = -x 2 + 6x + 5
HELP PLEASE!!!!!!
Answer:
-(x-3)²+14
maximum
(3,14)
Step-by-step explanation:
y= -x²+6x+5
y-5= -x²+6x
y-5= -(x²-6x)
complete the square
y-14= -(x²-6x+9)
x²-6x-9= -(x-3)²
y-14= -(x-3)²
y= -(x-3)²+14
maximum because a is negative
vertex is (3,14)
Question 2 of 10
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10+
(7.2)
-10
(0,0)
10
- 10+
A. y=-7x
O B. y = 2x
Answer:
D)
[tex]y = \frac{2}{7} x[/tex]
Step-by-step explanation:
[tex]slope = \frac{rise}{run} = \frac{2}{7} [/tex]
Y-intercept=0
The equation of line is y = ( 2/7 )x where the slope of line is m = 2/7
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 0 , 0 )
Let the second point be Q ( 7 , 2 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 2 - 0 ) / ( 7 - 0 )
Slope m = 2/7
Now , the equation of line is y - y₁ = m ( x - x₁ )
On simplifying , we get
y - 0 = ( 2/7 ) ( x - 0 )
y = ( 2/7 )x
Therefore , the value of A is y = ( 2/7 )x
Hence , the equation of line is y = ( 2/7 )x
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If f(x) = x^2 + 1 find f (a+1)
Answer:
f(a + 1) = a² + 2a + 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationExpand by FOILStep-by-step explanation:
Step 1: Define
Identify
f(x) = x² + 1
Step 2: Evaluate
Substitute in x [Function f(x)]: f(a + 1) = (a + 1)² + 1Expand [FOIL]: f(a + 1) = a² + 2a + 1 + 1Combine like terms: f(a + 1) = a² + 2a + 2Answer:
[tex]{ \tt{f(x) = {x}^{2} + 1 }} \\ { \tt{f(a + 1) = {(a + 1)}^{2} + 1 }} \\ { \tt{f(a + 1) = ( {a}^{2} + 2a + 1) + 1 }} \\ { \tt{f(a + 1) = {a}^{2} + 2a + 2}}[/tex]
Write the equation of a line passing through (4,1) and parallel to y = 3/2x + 3.
Answer:
y = 3/2x - 5
Step-by-step explanation:
y = 3/2x + b
1 = 3/2(4) + b
1 = 6 + b
-5 = b
Explain how to use the standard normal table to
find the probability associated with the shaded
area under the curve.
A
^
-3
-2.
0
1
2
3
0.4
1.9
The probability associated with the shaded area under the curve is 0.6267
How to determine the probabilities?From the curve, we have the following parameters:
z1 = 0.4
z2 = 1.9
Using the standard normal table, determine the p values at the respective z-scores
P(z >0.4) = 0.3446
P(z<1.9) = 0.9713
The probability is then calculated using:
P = P(z<1.9) - P(z >0.4)
Substitute the known values
P = 0.6267
Hence, the probability associated with the shaded area under the curve is 0.6267
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Answer:
The standard normal table gives areas under the curve to the left of z-scores.
Find the probability in the standard normal table that a value is to the left of 1.9.
Find the probability in the standard normal table that a value is to the left of 0.4.
Subtract the probability of a value being to the left of 0.4 from the probability of a value being to the left of 1.9.
Hiiioo! Can someone please help me out! :)❤️
Answer:
-2/3
3/2
Step-by-step explanation:
slope is m in the equation y = m*x+b.
3y=-2x-3
y=-2/3x-1
parallel lines have the same slope, so slope of parallel lines is -2/3
perpendicular lines have negative the inverse
so -(-3/2)=3/2
1. the surface area of the rectangular prism
5 cm
20 cm
4cm
Answer:
430 cm^2
thankuhh
have a nice day
I have to solve the equation:
[tex] |4 \sqrt{2} - 6 | + |2 \sqrt{10} - 6| [/tex]
The first thing I tried is simply removing the modules, it seemed like the most logical solution and this is the answer I got, but it wasn't any of the options:
[tex]4 \sqrt{2} + 2 \sqrt{10} + 12[/tex]
The second thing I tried is putting both equations in one module and sum the first one with the second one in parentheses like this:
[tex] |4 \sqrt{2} - 6 + (2 \sqrt{10} - 6 | = \\ = |4 \sqrt{2} - 6 + 2 \sqrt{10} + 6 | = \\ = 4 \sqrt{2} + 2 \sqrt{10}[/tex]
But this wasn't in the answers either.
After I checked, the correct answer was:
[tex]2 \sqrt{10} - 4 \sqrt{2} [/tex]
So I was wondering where does the minus come from?
It is in a module and between the modules, there's a plus and even if that plus somehow turns into a minus when it goes inside the modules, which I'm not aware of, it would still turn into a plus because it is in a module ;-; Or I'm just st*pid, I don't know.
Think back to the definition of absolute value:
• If x ≥ 0, then |x| = x.
• If x < 0, then |x| = -x.
In other words, the absolute value always returns a positive number. So if x is positive, leave it alone; but if it's negative, then you have to negate it to get a positive number back.
This means that you cannot simply reduce |x - y | to x - y because you need to consider the possibility that x - y may be negative, in which case |x - y | would reduce to -(x - y) = y - x.
In this case,
|4√2 - 6| = -(4√2 - 6) = 6 - 4√2
because 4√2 < 6, which you can determine by comparing both of these numbers as square roots:
4√2 = √16 √2 = √32
6 = √36
and √32 < √36 because 32 < 36.
Similarly,
|2√10 - 6| = 2√10 - 6
because
2√10 = √4 √10 = √40
6 = √36
So ultimately,
|4√2 - 6| + |2√10 - 6| = (6 - 4√2) + (2√10 - 6) = 2√10 - 4√2
What is the area, in square inches, of the shape below?
Answer:
27.44 in²
Step-by-step explanation:
The formula for area of a triangle is a=[tex]\frac{bh}{2}[/tex], where a is area, b is base length, and h is height.
We can sub in the base and height lengths we know to work out the area. This gives a=[tex]\frac{5.6*9.8}{2}[/tex] or [tex]\frac{54.88}{2}[/tex].
This solves to 27.44 in².
**This content involves area of triangles, which you may wish to revise. If you are required to do this by hand, you may also like to review multiplying and dividing decimals. I'm always happy to help!
1 Solve the compound inequality 4x>-16 or 6x <-48
Answer:
Step-by-step explanation:
4x > -16 reduces to x > -4: All numbers greater than x = -4 (shaded area to the right of -4).
6x < -48 reduces to x < -8: All numbers to the left of -8 (shaded area to the left of -8).
Solution: (-infinity, -4) ∪ (-8, infinity)
The number line between -8 and -4 is not part of the solution set (is not shaded or darkened)
Draw an open circle at -8 and extend an arrow to the left of this circle. Then draw an open circle at -4 and extend an arrow to the right of this circle.
Find the value of k if the slope of the line 2x-ky+3=0 is 5/3
Answer:
6/5
Step-by-step explanation:
2x+3=ky
ky=2x+3
y=(2x+3)/k
y=2x/k + 3/k - > equation 1
y=mx + c - >equation 2
Comparing equation 1 and 2,
2/k=m
2/k=5/3
6/5=k
k=6/5
Please help I’ve been struggling for ages!
Answer:
"D" only 1 & 2
Step-by-step explanation:
please please help!! limited time! i don’t understand!
Answer:
option b ) 18
Step-by-step explanation:
The questions states 3 different values for f(x)
f(x) = 3x + 12, if x ≤ -2
f(x) = 4 , if -2 < x < 3
f(x) = 2x² if x ≥ 3
Evaluate f(3)
x = 3, that is x ≥ 3
So we will have to choose f( x ) = 2x²
f( 3 ) = 2 (3)²
= 2 x 9
= 18
The ratio of pennies: nickels is proportional to the ratio of nickels: dimes, and to the ratio of dimes: quarters. If you have one penny and two nickels, how much money do you have?
Answer:
11 cents
Step-by-step explanation:
1 penny = 1 cent
1 nickel = 5 cents
2×1 nickel = 10 cents
1 penny + two nickels
= 1 cent + 10 cents
= 11 cents
The amount of fence a farmer needs to create a garden with width w and length 1 is F = 5w + 21.
Which formula represents l in terms of F and w?
No files just ty0e it in please and thank you
sorry im answering late..
Answer:
27
Step-by-step explanation:
9x0=0 9x1=9 9x2=18
[9x3=27] 9x4=36 9x5=45
9x6=54 9x7=63 9x8=72
9x9=81 9x10=90 9x11=99
9x12=108
what is the nth term of 1/3 4/7 7/11 2/3
Answer:
[tex]\frac{1+3(n-1)}{3+4(n-1)}[/tex]
Step-by-step explanation:
First find the pattern.
1/3 gets 5/21 added to it but doing that to 4/7 does not get 7/11, so it's nto normal adding.
if you multiply 1/3 gets 12/7, but if you multiply that by 4/7 you don't get 7/11 so it's not normal multiplcation.
I would next try only adding to the numerator and denominator separately.
so 1/3 gets 3 added to the 1 and 4 added to the 3. Doing that again gets us (4+3)/(7+4) = 7/11 and doing it again gets us 10/15 = 2/3. So that is the right answer.
So we know what is happening. if you start with 1/3 and increasingthe numerator by 3 and denominator by 4 then we know it's going to look like (1+3(n-1))/(3+4(n-1)) because the first term is when n=1 and we want that to cancel out. You can also simplify it and get (3n-2)/(4n-1)
Let me know if it doesn't make sense.
9
Find the area of the triangle.
Please help
Answer:
[tex]6ft^2[/tex]
Step-by-step explanation:
The formula to find the area of a triangle: [tex]A=\frac{1}{2} bh[/tex]
The base is 4 because 2 + 2 = 4
[tex]A=\frac{1}{2}( 4)(3)[/tex]
[tex]A=\frac{1}{2} (12)[/tex]
[tex]A=6[/tex]
Hope this helps
Answer:
A) The first one for whole triangle = 6ft^2
or
B) The second one for blue = 3ft^2
Step-by-step explanation:
T1 Area = 1/2 x 3 x 4 = 6ft^2
T2 Area = 1/2 x 3 x 2 = 3ft^2
T3 Blue Area = 6-3 = 3ft^2
х
3
3(x+4) represents the area of the rectangle above. Which expression below is equivalent by the Distributive Property?
O 3x+12
O (3 + x) +4
O (x + 4) - 3
O 3x + 4
Answer:
O 3x+12
Step-by-step explanation:
3(x + 4) = (3 · x) + (3 · 4)
= 3x + 12
In order for the parallelogram to be a
rhombus, x = [?].
(x + 15)
(2x - 40)
Help pleaseeee
Answer:
Step-by-step explanation:
x+15 = 2x-40
Move x to the right side and you get 15 = x-40
Move -40 to the left side and you get x = 55
In order for the parallelogram to be a rhombus, x must equal 55.
What is a rhombus?A rhombus is a quadrilateral that has four equal sides.
Some of the properties we need to know are:
- The opposite sides are parallel to each other.
- The opposite angles are equal.
- The adjacent angles add up to 180 degrees.
We have,
If a parallelogram is a rhombus, it means that all four sides of the parallelogram have equal length.
We can set the expressions for the opposite sides of the parallelogram equal to each other and solve for x.
x + 15 = 2x - 40
First, we can simplify by adding 40 to both sides and getting:
x + 55 = 2x
Next, we can subtract x from both sides and get:
55 = x
Therefore,
In order for the parallelogram to be a rhombus, x must equal 55.
To verify this, we can substitute x = 55 back into the expressions for the sides:
x + 15 = 55 + 15 = 70
2x - 40 = 2(55) - 40 = 70
Both opposite sides have an equal length of 70, so the parallelogram is a rhombus.
Thus,
In order for the parallelogram to be a rhombus, x must equal 55.
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Sin 0 = 7/25 and cos 0 = -24/25. Find tan 0
Answer:
[tex]tan \theta = - \frac{7}{24}[/tex]
Step-by-step explanation:
[tex]sin \theta = \frac{7}{25} \ , \ cos\theta = \frac{-24}{25}\\\\tan \theta = \frac{sin\theta}{cos\theta}[/tex]
[tex]=\frac{\frac{7}{25}}{\frac{-24}{25}} \\\\=\frac{7}{25} \times \frac{25}{-24}\\\\= - \frac{7}{24}[/tex]