Answer:
t = 16
Step-by-step explanation:
if you do 448 divided by 28 you get 16.
if you do 28 x 16 you get 448
Divide x^4 + 2x^2 + 1 by x+1 .
Answer:
[tex]=x^3-x^2+3x-3+\frac{4}{x+1}[/tex]
Step-by-step explanation:
[tex]\frac{x^4+2x^2+1}{x+1}\\\mathrm{Divide}\:\frac{x^4+2x^2+1}{x+1}:\quad \frac{x^4+2x^2+1}{x+1}=x^3+\frac{-x^3+2x^2+1}{x+1}\\=x^3+\frac{-x^3+2x^2+1}{x+1}\\\mathrm{Divide}\:\frac{-x^3+2x^2+1}{x+1}:\quad \frac{-x^3+2x^2+1}{x+1}=-x^2+\frac{3x^2+1}{x+1}\\=x^3-x^2+\frac{3x^2+1}{x+1}\\\mathrm{Divide}\:\frac{3x^2+1}{x+1}:\quad \frac{3x^2+1}{x+1}=3x+\frac{-3x+1}{x+1}\\=x^3-x^2+3x+\frac{-3x+1}{x+1}\\\mathrm{Divide}\:\frac{-3x+1}{x+1}:\quad \frac{-3x+1}{x+1}=-3+\frac{4}{x+1}\\=x^3-x^2+3x-3+\frac{4}{x+1}[/tex]
What is 24% as a growth and decay factor
Answer:
When given a percentage of growth or decay, determined the growth/decay factor by adding or subtracting the percent, as a decimal, from 1. In general if r represents the growth or decay factor as a decimal then: b = 1 - r Decay Factor. b = 1 + r Growth Factor. A decay of 20% is a decay factor of 1 - 0.20 = 0.
Step-by-step explanation:
The growth factor is 1.24, and the decay factor is 0.76 for the 24% growth add one as a decimal and for decay subtract one as a decimal.
What is the growth and decay factor?It is defined as the factor that represents the increase and decreases in value by that factor. For the growth add one as a decimal and for the decay subtract one as a decimal.
For the growth factor:
F(g) = 1+r
Here r = 24% = 0.24
F(g) = 1+0.24 = 1.24
For the decay factor:
F(d) = 1-r
Here r = 24% = 0.24
F(d) = 1-0.24 = 0.76
Thus, the growth factor is 1.24, and the decay factor is 0.76 for the 24% growth add one as a decimal and for decay subtract one as a decimal.
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Please help it is URGENT!
−12−128÷2÷4^2=
Answer:
-16
Step-by-step explanation:
-12-128/2/4^2=
-12-64/4^2=
-12-64/16=
-12-4=
-16
Answer:
-16.
Step-by-step explanation:
Using order of operations (PEMDAS):
-12 - 128 ÷ 2 ÷ 4^2 First do the exponential term
-12 − 128 ÷ 2 ÷ 16 Do the leftmost division first:
= -12 - 64 ÷ 16 Now the division
= -12 - 4
= -16.
If mÐ1 = 2x + 2, mÐ2 = 9x, find mÐ1.
Answer:
x= -1
Step-by-step explanation:
make the equation to equal to zero and then bring 2 to left side of the equal sign. To get rid of (x), you simply divide both sides by 2 and you will get x= -1.
Brian has $30 in his piggy bank. He earns $10 a week at his job.
Sarah has $10 in her piggy bank and earns $20 a week at her job.
In how many weeks will they have the same amount of money?
A.1
B.2
С.3
D.Never
I know it’s not a or d someone please help me ASAP I have time
Answer:
B. 2 weeks
Step-by-step explanation:
1st week
Brian will have $40
Sarah will have $30
2nd week
Brian will have $50
Sarah will have $50
Answer:
B. 2
Step-by-step explanation:
10w +30 = 20w +10,
30 - 10 = 20w - 10w,
20 = 10w,
so the answer is,
w = 2
There were 8 apples in the tree.
The wind blew some apples off
the tree. Now how many apples
are in the tree?
Answer:
idk maybe 4
Step-by-step explanation:
PLZZ HELP! Sara selects two cards at random from a standard deck of fifty-two cards. Which of the following could be used to calculate the probability that she will select two even-numbered cards if she does not replace the first card before selecting the second? Note: For this problem, face cards and aces are not numbered cards.
sixteen over fifty-two times sixteen over fifty-one
sixteen over fifty-two times fifteen over fifty-one
sixteen over fifty-two times fifteen over fifty-two
sixteen over fifty-two times sixteen over fifty-two
Answer:
91
Step-by-step explanation:
it takes to long to explain
Solve the inequality
-7x + 12 = 75
Answer:
-9
Step-by-step explanation:
-7x+12=75
-12 -12
-7x= 63
divide by -7 on both sides
x = -9
1) 2/9 + 5/9 =
2) 3/4 - 5/16 =
3) 6/7 × 1/2 =
4) Convert the decimal 0.984 to a fraction.
help asap please
Answer:
1. 7/9
2. 7/16
3. 3/7
4. 123/125
Step-by-step explanation:
1. Simplify the following:
2/9 + 5/9
2/9 + 5/9 = (2 + 5)/9:
(2 + 5)/9
2 + 5 = 7:
Answer: 7/9
_________________________
2. Simplify the following:
3/4 - 5/16
Put 3/4 - 5/16 over the common denominator 16. 3/4 - 5/16 = (4×3)/16 - 5/16:
(4×3)/16 - 5/16
4×3 = 12:
12/16 - 5/16
12/16 - 5/16 = (12 - 5)/16:
(12 - 5)/16
12 - 5 = 7:
Answer: 7/16
_____________________________________________
3. Simplify the following:
6/7×1/2
6/7×1/2 = 6/(7×2):
6/(7×2)
6/2 = (2×3)/2 = 3:
Answer: 3/7
__________________________________________________
4. Rewrite the decimal number as a fraction with 1 in the denominator
0.984=0.984/1
Multiply to remove 3 decimal places. Here, you multiply top and bottom by 10^3 = 1000
(0.984/1)×(1000/1000)= 984/1000
Find the Greatest Common Factor (GCF) of 984 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 8,
(984/8) = 123
(1000/8) = 125
Therefore
X=123/125
In conclusion,
Answer: 0.984=123/125
Fill in the blank
The equation *blank* describes the relationship
(simplify your answer)
Answer:
y = 1.5x
Step-by-step explanation:
in the graph you can see that when y=2, x= 3 and this graph is linares (im sorry if its not the right word). so this means for every 3gal of white paint youll need 2 gal of red paint. so 2y=3x: y = 3/2x
which is a liability ??
Answer:
The liability is his mortgage.
Answer:
The mortgage
Step-by-step explanation:
The mortgage is a liability. A liability is something that you have to pay for. Bills, fees, mortgages, etc are all liabilities.
The yearly salary- asset
The commission- asset
The mortgage- liability
The rental property- asset
Graph the line with slope -3 and y-intercept 3. please
Answer:
I can't post a graph, but I will explain how to do it.
Step-by-step explanation:
The y intercept is 3, so we know we can place a point at the coordinates (0,3). The y intercept is the point where your line crosses the y axis.
The slope is -3, which is the same as -3/1. The top number is the y axis, the bottom number of the slope is the x axis. This tells us that for every 1 space we move on the x axis, we move -3 spaces on the y axis. You should therefore have a second point located at (1,0).
You should end up with a line with a point at (0,3) and (1,0) which slopes down from left to right. Hope that helps.
The line of the graph is y=-3x+3
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Slope is -3 and y-intercept is 3.
y=-3x+3
Now we have to plot the graph
x 0 1 2 3 4
y 3 0 -3 -6 -9
Hence, the line of the graph is y=-3x+3
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Aloysius and Benjamin have $150 altogether. Aloysius' mother gives him another $40 and Benjamin spends $ 10 on a book. Benjamin then has $10 more than Aloysius . How much money does each of them have at first?
Answer:
Aloy has $55 initially
Benjamin has $95 initially
Step-by-step explanation:
In this question, given the order in which the money flowed in the question, we want to know how much each of the two had initially.
let what Aloys have be x and what Benjamin has be y.
Together, they had 150
x + y = 150 ••••••••(i)
Aloys mother gave him 40, new money is x + 40, Benjamin spent 10, new money is y-10
the new difference is 10
Thus;
(x + 40)-(y-10) = 10
x + 40 -y + 10 = 10
x+ 40 = y
substitute this into the first equation
x + 40 + x = 150
2x + 40 = 150
2x = 150-40
2x = 110
x = 110/2
x = $55
y = x + 40 = 55 + 40 = $95
Create a data set of six values that meet the following criteria...
Mean: 6
Range: 7
Mode: 3
Median 6
Answer: A = {2, 6 ,6 , 6 , 7 ,9}
Step-by-step explanation:
As the mode is 3, we must have a number that repeats 3 times.
As the median is 6, the number in the middle must be 6
then with this we can construct a set with 3 times the number 6.
Now, knowing that the range is 7. the difference between the larger number and the smaller number is 7, so suppose the larger number is 9 and the smaller number is 2 (9 - 2 = 7)
Then the numbers in our set are:
2 6 6 6 9
lets find the last one.
We know that the mean is 6, then we have
6 = (1/6)*( 2 + 6 + 6 + 6 + 9 + x) = (1/6)(29 + x)
6*6 = 29 + x
36 - 29 = x
x = 7
Then our set is:
A = {2, 6 ,6 , 6 , 7 ,9}
Where the number in the middle is 6, the mean is 6, the mode is 3 and the range is 7
7 inches and the height is 3 inches
Answer:
21
Step-by-step explanation:
b) Order these measurements from greatest to least.
Explain how you decided.
2,300 L
500 ml
3,000 mL
2 L
22 L
what is the equivalent to 18/18?
Answer:
1
Step-by-step explanation:
ZA
Round your answer to the nearest hundredth.
6
С
В
7
?
A
Answer:
58.99
The simplifying part may be wrong. It's not my strongest thing in math.
Step-by-step explanation:
Well to find angle A you first have to see which trig function to use.
Soh Cah Toa
In this case, you need the opposite / hypotenuse, which is sin.
6 / 7
And then you have to use inverse sin of 6 / 7
It's 58.99728087 which can be simplified to 58.99
The simplifying part may be wrong. It's not my strongest suit.
Answer:
∠A ≈ 59.00
Step-by-step explanation:
In this case, you need to use the inverse of sine (it gives you the opposite and hypotenuse sides): [tex]sin^-1[/tex]
[tex]sin^-1(6/7)[/tex]
≈ 58.997
Round to nearest hundredth:
≈ 59.00
A quadrilateral has 2 pairs of angle with equal measures and 4 sides of equal length. What is the name of the quadrilateral? A. parallelogram B. rhombus C. trapezoid D. rectangle
Answer:
D. Rhombus
Step-by-step explanation:
Rhombus is the quadrilateral that lhas 2 pairs of angle with equal measures and 4 sides of equal length
Attached picture is the shape of Rhombus
Answer: The correct answer is option D; Rhombus
Step-by-step explanation: Basically, all the four options are quadrilaterals, or a plane shape with four sides. However, not all four-sided plane shapes have the same properties, and hence each of them has its own unique name due to its unique features or properties. A rhombus has four sides that are equal in measurement, but not all its four angles are equal in measurement. Two pairs of angles are equal to each other, and these are the pair of opposite angles. Also, the opposite sides/lines are parallel and congruent to each other.
A rectangle has, two opposite sides parallel and congruent, but unlike a rhombus, not all sides measure the same length. Only two opposite sides have equal measurement. In a rectangle, all four angles are congruent and they all measure 90 degrees each.
A trapezoid has only two sides as being parallel, and the other two sides are not parallel. The two parallel sides are referred to as the bases.
A parallelogram also has two equal sides as being parallel to each other and the two opposite sides are also congruent, just like a rhombus. However, unlike a rhombus, a parallelogram does not necessarily have all sides congruent. The two opposite sides may be equal in measure just like in a rectangle, but the angles are not all equal like in a rectangle.
Therefore, only a rhombus satisfies the conditions outlined in the question namely;
Two pairs of angles with equal measures, and four sides of equal length.
Madison wants to order T-shirts for the University which consist of 12,000 students she takes a random sample to figure out how many sizes to order of each kind if she randomly surveyed 300 students and 129 of them want to medium how many medium T-shirts should she order
Answer:
5160
Step-by-step explanation:
25^x = 1 find the value of x
Answer:
x=0
Step-by-step explanation:
Anything to the power of 0 = 1
factorise:
a) 2y^3-4y^2-2y+4
b) 2x^2+7x+3
Answer:
b) 2x^2 + 7x + 3
= 2x^2 + 6x + 1x + 3
= 2x(x + 3) + 1(x + 3)
= (2x + 1) (x + 3)
At the end of any year a car is worth 5% less than what it was worth at the beginning of the year. If certain car was worth $10,000 at the beginning of 2014, then its value at the end of 2014 was
Answer:
$9500
Step-by-step explanation:
A=P(1-r)^t is the general model for decay. A being the end result of 2014, p is the amount beforehand, r is decay as a decimal, t is time. I think t would just be one since it's one year in time? 9500=10,000(1-0.05)^1
A right triangle with side a being 7 and the hypotenuse is 8. Find the measure of the missing side length. Round your answer to the nearest tenth.
Answer:
4
Step-by-step explanation:
use the Pythagoras' theorem
formula for an ABC triangle( right angled)
AB is height
BC is hypotenuse
CA is length
[tex]BC^{2}[/tex] = [tex]AB^{2}[/tex] + [tex]CA^{2}[/tex]
in your case
AB is 7
BC is 8
CA is unknown so we write x
[tex]8^{2}[/tex]=[tex]7^{2}[/tex]+[tex]x^{2}[/tex]
64=49+[tex]x^{2}[/tex]
64-49=[tex]x^{2}[/tex]
15=[tex]x^{2}[/tex]
[tex]\sqrt{15}[/tex] =x
3.87=x
4=x
Mark the statements that are true.
The principal likes to keep the ratio of students to teachers at 24:1. If he has hired 32 teachers, then how many students are expected to enroll?
Step-by-step explanation:
simply 32×24 gives 768 students
The principal likes to keep the ratio of students to teachers at 24:1. If he has hired 32 teachers. .768 students are expected to enroll.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
The principal likes to keep the ratio of students to teachers at 24:1. If he has hired 32 teachers.
The ratio we have 24 : 1
We need to find the ratio
? : 32
then we get,
24 x 32 = 768
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Equation of line through (-3,7) with slope of 4 is?
Answer & Step-by-step explanation:
First, we know what the formula is for y-intercept slope form.
[tex]y=mx+b[/tex]
Since, we have coordinate points and the slope, then we can use these numbers to find the y-intercept, b.
[tex]7=4(-3)+b[/tex]
[tex]7=-12+b[/tex]
[tex]19=b[/tex]
So, the equation of the line that passes through (-3, 7) with a slope of 4 is..
y = 4x + 19
I cant solve this answer
Answer:
RC1. 5
RC2. 8
RC3. a
RC4. 3
Step-by-step explanation:
So basically what you need to start with is the fact that the second triangle is 2 times larger than the first.
so,
8 = 8
C = 10
A = 6
---------------------------------------------------------------------
the next important part is that the opposite sides of the fraction, when multiplied are equal to each other.
( for example 1/2 = 2/4, because 1*4 = 4 and 2*2 = 4)
RC1. a/3 = C/_
substitute
6/3 = 10/_
3 * 10 = 30
6 * _ =30
30/6 = 5.
Rc2. 4c = 5_
4*10 = 5*_
40/5 = 8
RC3. 3c = 5*_
3*10 = 5*_
30/5 = 6
RC4. 4a = 8*_
4 * 6 = 8*_
24/8 = 3
good luck with your schoolwork/homework!
---------------------------------------------------------------------
apologies in advance for incorrect answers or bad explanations.
C-12.1 Binomial coefficients are a family of positive integers that have a number of useful properties and they can be defined in several ways. One way to define them is as an indexed recursive function, C(n, k), where the "C" stands for "choice" or "combinations." In this case, the definition is as follows: C(n, 0) = 1, C(n, n)=1, and, for 0
Answer:
Step-by-step explanation:
a)
If we implement the combinations recursively without memoization, then the running time would be exponential in n.
Time Complexity:
If we implement this equation literally, as a recursive program, then the running
time of our algorithm without using memoization, T(n), as a function of n, has the following behavior:
T(0) = 1
T(1) = 1
T(n) = T(n − 1) + T(n − 2).
But this implies that
T(n) ≥ 2T(n − 2) = 2^(n/2).
b)
But if we store the combinations in an array, C[][], then we can instead calculate the combinations, C(n,k), iteratively, as follows:
C[0,0] = 0
C[1,1] = 1
for i = 2 to n do
C[n,k] = C[n-1, i−1] + C[n-1,k]
This algorithm clearly runs in O(n) time, and it illustrates the way memoization
can lead to improved performance when subproblems overlap and we use table
lookups to avoid repeating recursive calls.
What is the amplitude of g(x)=8cos(5πx+3π/2)-9
Answer:
8
Step-by-step explanation:
The value of the amplitude is always positive and it tends to be number in front of the cosine function so for example by using the form 'a.cos(bx - c) + d', we can know that the amplitude is the number in front of the function so its 'a'