Answer:
0.00010152
Step-by-step explanation:
Jessica and her brother collects stamps. When Jessica gives her brother 1% of her stamps, she has 2,475 stamps left. Calculate how many stamps Jessica had originally.
Answer:
2500
Step-by-step explanation:
2475 stamps is 99% of her original number of stamps.
SO,
[tex]2475 \div 99\% = 2500[/tex]
She originally had 2500 stamps
digital root of 5307
Answer:
15 hegevwyegecceccr
Step-by-step explanation:
5+3+0+7=15
Answer:
The digital root of 5307 is 6
Step-by-step explanation:
determine if the lines are parallel, perpendicular, or neither. x - y = 4 and x + y = 9
Answer:
Perpendicular
Step-by-step explanation:
What I would do first is to rearrange these equations into the equation of a line formula: [tex]y=mx+c[/tex]
To do so, we isolate y:
x - y = 4 -> -y = -x+4 -> (multiply both sides by -1) y=x-4
x+y=9 -> y=-x+9
We know that in the formula y=mx + c, m stands for gradient of a line (The degree of steepness of the line), and we know that if there is no number before x it means that it is 1 or -1 (depending on the sign before x).
so that on y=x-4 the gradient is 1 and on y=-x+9 the gradient is -1.
We now can check if its parallel, perpendicular or neither with these equations:
m1 · m2 = -1 for perpendicular, m1 = m2 for parallel,(where m = gradient)
we plug the values of the two gradients into the first equation
(m1 · m2 = -1) and it fits: 1 x -1 = -1
If we plug the same values into the second equation (m1 = m2), we can check that 1 ≠ -1
In conclusion, we can check that these lines are perpendicular to each other.
Which function has the graph shown below? *
a. f(x) = x² - 4
b. f(x) = x² + 4
c. f(x) = (x + 4)²
d. f(x) = (x - 4)² opps dont forget to change the sign
Answer:
C
Step-by-step explanation:
yeah-ya......... right?
Sully built a shelf 8 5/8 inches wide for his DVD collection. If each DVD is 3/8 inches
wide, how many can he fit on the new shelf?
Answer:
23
Step-by-step explanation:
8 5/8 = 69/8
Each DVD is 3/8 inches
Ignore the denominators
We have 69 and 3
69 is 23 times bigger than 3, so 23 DVD's can fit
show me how to do the work please
[tex]\large\boxed{\mathsf{\dfrac{x}{-4}\leq 12}}\\\\\large\text{MULTIPLY -4 to BOTH SIDES}\\\\\large\boxed{\mathsf{-4\times -\dfrac{1}{4}x \leq -4 \times 12}}\\\\\large\text{CANCEL out: }\rm{-4 \times-\dfrac{1}{4}}\large\text{ because it gives you 1}\\\\\large\text{KEEP: }\rm{-4\times 12}\large\text{ because it helps solve for what is being compared to the }\\\large\text{x-value}\\\\\large\text{NEW EQUATION: }\rm{x \geq\ -4 \times 12}\\\\\large\text{SIMPLIFY IT}\uparrow[/tex][tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{x\geq-48}}}\huge\checkmark[/tex]
[tex]\large\boxed{\mathsf{It\ is\ an\ CLOSED\ circle\ shaded\ to\ the\ right}}[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
HELP!!! IM CONFUSED
Answer:
2/3Step-by-step explanation:
If we want to find the slope, the most easiest way to find the slope is to use 'Rise/Run'. Two points are given, lets use those points and find the slope.
=> We see that the rise is 2. So 2 will be our numerator,
=> We can also see that the run is 3. So 3 will be our denominator.
What do we get?
We get 2/3 as our slope. Therefore, B is our answer. Hoped I helped.
find the equation of the tangent whose slope is 3 and has the y-intercept 1
Answer:
Look, this should help.
Step-by-step explanation:
Guided Practice
Type your answer and then click or tap Done.
Use the ^ symbol (Shift+6 on the keyboard) to signify an exponent. For example, for 2 to the third power, enter 2^3.
Identify the quadratic term in the function.
f(x)=2x^2−3x+5
Answer:
2x^2
Step-by-step explanation:
Q:
identify the quadratic term in the function f(x)=2x^2-3x+5
A:
The quadratic term is 2x^2.
Answer:
2x2-3x-5=0
Step-by-step explanation:
(2x2 - 3x) - 5 = 0
Answer:
The quadratic term in the function is
Step-by-step explanation:
Given : Function
To find : Identify the quadratic term in the function ?
Solution :
The quadratic form of the function is
Where, is quadratic term.
On comparing with given function,
is the quadratic term.
Therefore, the quadratic term in the function is
What is the next term in the sequence 58, 47, 36, 25,. ? –58 –8 14 69.
Answer:
14
Step-by-step explanation:
58, 47, 36, 25,. ?
Each term is 11 less than the preceding term
the term after 25 will be
25 - 11 = 14
YES I WILL BE GIVING A BRANLIST
Which function has the greater rate of change? What is that value?
Answer:
To find the rate of change you use the formula, Y2-Y1/X2-X1.
Function A:
You can substitute in any two points. The points I will use are (0,0) and (1,1).
1-0/1-0
1/1
1
The rate of change for Function A is 1.
Function B:
The points I will use are (2,1) and (4,2).
2-1/4-2
1/2
The rate of change for Function B is 1/2.
Since 1 is larger than 1/2, Function A has a larger rate of change. The value is 1.
Hope this helps! :)
A smokestack deposits soot on the ground with a concentration inversely proportional to the square of the distance from the stack. With two smokestacks d miles apart, the concentration of the combined deposits on the line joining them, at a distance x from one stack, is given by:
[tex]S=\frac{c}{x^2} +\frac{k}{(d-x)^2}[/tex]
where c and k are positive constants which depend on the quantity of smoke each stack is emitting. If k=8c, find the point on the line joining the stacks where the concentration of the deposit is a minimum. xmin= ? miles
Answer:
d/3
Step-by-step explanation:
For k = 8c, the concentration is ...
S = c/x^2 + 8c/(d -x)^2
The minimum of the function will be found where its derivative is zero. The derivative with respect to x is ...
S' = -2c/x^3 +(-2)(8c)(-x)/(d -x)^3
We are interested in the value of x that makes this zero.
0 = -2c/x^3 +16c/(d -x)^3 . . . . . simplify slightly, set S'=0
0 = (-2(d -x)^3 +16x^3)/(x(d -x))^3 . . . . . combine terms, divide by c
0 = d^3 -3d^2x +3dx^2 -x^3 -8x^3 . . . . multiply by (x(d-x))^3/(-2)
9x^3 -3dx^2 +3d^2x -d^3 = 0 . . . . . simplified cubic
Factoring by grouping, we have ...
(9x^3 -3dx^2) +(3d^2x -d^3) = 0
3x^2(3x -d) +d^2(3x -d) = 0
(3x^2 +d^2)(3x -d) = 0
The solution will be found where the second of these factors is zero:
3x -d = 0
x = d/3
The concentration of the deposit is a minimum at x = d/3 miles.
_____
The graph shows the minimum is x = 1/3 when d = 1.
5 peppers for $5.50 how much is each
Answer:
$1.10
Step-by-step explanation:
5.50 divided by 5, take a way the decimal in order to divide. 550/5=110
55 divided by 5 is 11 just add a zero
please help with statistic 20
Part A
p = 0.32 = probability of someone voting by internet
n = 13 = sample size
x = 10 = number of people who voted by internet
Apply the binomial probability formula.
[tex]P(x) = (_n C _x)*(p)^{x}*(1-p)^{n-x}\\\\P(10) = (_{13} C _{10})*(0.32)^{10}*(1-0.32)^{13-10}\\\\P(10) = (286)*(0.32)^{10}*(0.68)^{3}\\\\P(10) \approx 0.0010124942242\\\\P(10) \approx \textbf{0.00101}\\\\[/tex]
Note: the [tex]_n C_x[/tex] refers to the combination formula.
Answer: 0.00101=============================================================
Part B
We could apply the binomial theorem for the following values of x: {10,11,12,13}. Then would add up the results.
However, such a task is fairly tedious and it's more efficient to use computer software (or a graphing calculator). Also, there's the element of limited time that you'll need to consider. I showed the steps for part A above because your teacher may have wanted you to list them. Usually it's better to rely on software for that task as well. At the very least, it's useful to have software to check your answer.
Whichever method you use, you should find the following:
P(10) = 0.00101P(11) = 0.00013P(12) = 0.00001P(13) = 0The last value isn't exactly 0, but it's so small that it's effectively zero. This is because we only have 5 decimal places to work with.
Add up those four values to get:
[tex]P(x \ge 10) = P(10)+P(11)+P(12)+P(13)\\\\P(x \ge 10) \approx 0.00101+0.00013+0.00001+0\\\\P(x \ge 10) \approx 0.00115\\\\[/tex]
A faster shortcut is to use your calculator's binomCDF function.
This result of 0.00115 is fairly small. The usual distinction we make between whether a probability is small or not is to set up some kind of threshold. This threshold is known as the significance level. By default, it's set to 0.05 unless your teacher specifies otherwise. Another common significance level is 0.01, but it's usually mentioned.
Since 0.00115 is smaller than 0.05, and even 0.01, we consider the probability of getting 10 or more internet voters to be a significant event. It's fairly unusual to get 10 or more people voting by internet in this sample of n = 13 people.
Answer: Choice A) Yes, because the probability of 10 or more is 0.00115, which is low.=============================================================
Part C
Like with part B, we could find the binomial probability values for x = {1,2,3,...,11,12,13}. We could add up the values like I did, or use the binomCDF function which is faster.
Another approach is to use the complement of the event "at least 1". If x is some number in the set {0,1,2,..,12,13}, then either [tex]x = 0[/tex] or [tex]x \ge 1[/tex]
From this, we can say
[tex]P(x=0) + P(x \ge 1) = 1\\\\P(x \ge 1) = 1-P(x=0)\\\\P(x \ge 1) \approx 1-0.00665\\\\P(x \ge 1) \approx 0.99335\\\\[/tex]
This then rounds to 0.993
Answer: 0.993hi please help me with part b and can you see if i did a correctly pls?
a is right its 58
and in my opinion i think b would be 58*5=290 cents, since nickel is worth 5 cents.
but gotta check other people's answers
Solve for n.
n + 24 = 99
n =
Answer:
[tex]n + 24 = 99 \\ \\ n = 99 - 24 \\ \\ n = 75[/tex]
-2x^3+5x^2-3x-12 for x=2
Thank you.
-14
plug in #2 in the spots with an x
good luck :)
Simplify.
x2+2x−3/
x−4/
2x2+5x−3/
x^2−16
x2−x−12/2x−3
x2−5x−4/2x−1
x2+3x−4/2x−1
x2+x−12/2x−3
Answer:
x^2 + 7x- 3/x - 3/x^2 -16
Step-by-step explanation:
Key: ( ^ ) means exponent
= x^2 + 2x- 3/x -2x^2 + 5x- 3/x^2 -16
= x^2 - 2x^2 + 2x+5x - 3/x- 3/x^2 -16
= x^2 - 2x^2 = -x^2
= -x^2 + 2x + 5x- 3/x- 3/x^2-16
As you see you add 2x and the 5x and got 7x
= Answer : x^2 + 7x- 3/x - 3/x^2 -16
Answer:
I think the answer is x^2+3x-4/2x-1
Lin's bike travels 100 meters when her wheels rotate 55 times. What is the circumference of her wheels? Round your answer to the nearest hundredth.
Thank You!!!
Answer:
Using formula to calculate the circumference of wheel:
where
D is the distance bike travel
n is the number of times rotation
C is the circumference of the wheel
As per the statement:
Lin’s bike travels 100 meters when her wheels rotate 55 times.
here, n = 55 rotation and D = 100 meter.
then by definition:
meter
Therefore, the circumference of her wheel is, 1 9/11
Step-by-step explanation:
Claudia studied for 45 minutes. Crystal studied for 5 minutes.
The number of minutes that Claudia studied is how many times the number of minutes that Crystal studied?
The number of minutes that Claudia studied is 9 times the number of minutes Crystal studied.
y = -2x + 1 4x + y = 9
9514 1404 393
Answer:
(4, -7)
Step-by-step explanation:
Maybe you want the solution to this system of equations.
About the easiest way to obtain it is to use a graphing calculator.
(x, y) = (4, -7)
_____
Additional comment
Since one of the equations gives an expression for y, it is a simple matter to substitute that for y in the other equation.
4x +(-2x +1) = 9
2x = 8 . . . . . . . . . . subtract 1 and simplify
x = 4
y = -2(4) +1 = -7 . . . use the first equation to find y
HELP!! Highschool math
Answer:
What does this mean?
Step-by-step explanation:
So you need to divide the m by 234 and after you got your answer you would need to times it by 156
HELP DUE IN 1 MINUTE 5x^3 + 20x^2-160x
please help me I don't understand what it is asking
Answer:
3.5 ft
Step-by-step explanation:
[tex]1 \frac{3}{4} = \frac{7}{4} [/tex]
7/4 inch = ? feet
[tex] \frac{ \frac{1}{2} }{ \frac{7}{4} } = \frac{1}{x} \\ \\ \frac{4}{14} = \frac{1}{x} \\ x = \frac{7}{2} [/tex]
3.5 ft
Answer:
3.5 ft.
Step-by-step explanation:
The question describes a bookshelf with width given in inches and we have to find the actual width in feet.
That makes it
Conversion of lengths from inches to feets:The bookshelf drawn by Sarita is
[tex]1 \frac{3}{4} [/tex]
inches wide.
Converting a mixed fraction to its simplest formAny fraction with it's quotient greater than or equal to 1 can be expressed in the form of mixed fraction.
It combines a whole number and a fractional reminder. The whole number represents how many complete wholes you have.
So, to convert a mixed fraction to an improper fraction, following steps will be conducted:
STEP I
(multiply the whole number by the denominator)
In this case,
[tex] 1\frac{3}{4} [/tex]
Denominator = 4whole number = 1= 4 × 1
= 4
STEP II
(add the product to the numerator)
numerator = 3 product obtained din step 1 = 4= 3 + 4
= 7
STEP III
(place the numerator obtained in Step 3 over the denominator)
new numerator = 7 denominator = 4Which gives us the fraction:
[tex] \boxed{ \frac{7}{4} }[/tex]
So, the width of the bookshelf is 7/ 4 in.
Expressing it in feets:[tex] \mathsf{ \frac{1}{2} \: inches \: represent = 1 \: feet }[/tex]
[tex] \mathsf{ 1 \: inch \:will\: represent = 1 \times \: \frac{2}{1} feet }[/tex]
[tex] \mathsf{ \frac{7}{4} \: inches \:will\: represent = 2 \times \: \frac{7}{4} feet }[/tex]
[tex] \implies \mathsf{ \underline{\frac{7}{2} \: ft. }}[/tex]
[tex] \mathsf{or}[/tex]
[tex] \implies \: \mathsf{ \underline{3.5 \: ft.}}[/tex]
That makes it Option: D) 3.5 ft.
A landscaper is planting a tree that is now 48 cm tall. The tree will grow 2 cm per month for x months,
The tree will grow to be less than y cmn tall. Write an inequality showing this relationship.
Answer:
y > 2x + 48
Step-by-step explanation:
plz help this is past due
Answer:
-8
Step-by-step explanation:
if you sub in 8 as the value for y, you get
-4x - 8 = 24
add 8 on both sides to simplify
-4x = 32
divide both sides by -4
x = -8
what is the correct Answer?!
Answer:
B
Step-by-step explanation:
2⁶
2³
2⁶
2³
then add the ⁶+³+⁶+³ =18
2¹⁸
Which of the following equations has one real solution?
2x2+x+3=0
x2+5x−3=0
x2−5x+4=0
4x2−12x+9=0
Answer:
4x2−12x+9=0
Step-by-step explanation:
The equation, 2x2+x+3=0, does not have a solution
The equation, x2+5x−3=0, equals -5/2+1/2√37 and -5/2+-1/2√37
The equation, x2−5x+4=0, equal 1 and 4
The equation, 4x2−12x+9=0, equals only 3/2
Hope this Helps
Different answers down below.
A. 1
B. 1/4
C. -1/4
D. -1
Answer:
— ¼ = — 0.25
Step-by-step explanation:
[tex] \frac{a + bc}{a - bc} = \frac{ - 12 + 20}{ - 12 - 20} = \frac{8}{ - 32} = - \frac{1}{4} [/tex]
Can you help me on this question Plss??