(2X²+3X-1)+(X²-2X+3)
Answer:
3x^2+x+2
Step-by-step explanation:
Let's simplify step-by-step.
2x2+3x−1+x2−2x+3
=2x2+3x+−1+x2+−2x+3
Combine Like Terms:
=2x2+3x+−1+x2+−2x+3
=(2x2+x2)+(3x+−2x)+(−1+3)
Kevin baked 44 cookies. His family ate d of them. Using d, write an expression for the number of cookies that remained
Answer:
44-d
Step-by-step explanation:
Take the total number of cookies and subtract the number eaten. That is the number remaining
44-d
10. (01.02)
Given the function f(x)
3x - 4
5
which of the below expressions is correct? (1 point)
5x+4
f-1(x) =
3
f-1(x)
5x - 4
3
O f-'(x)
-344
-3x – 4
5
4–3x
f-1(x) =
5
Answer:
5x+4f-1(x)=3 this is short answer
Convert the following:
How many kilometers are in 1 mile? (Hint: Use the answer from the previous problem)
1 mile is equivalent to
ao kilometers (rounded to the nearest hundredth)
Answer: 1.609344 kilometers.
Step-by-step explanation:
A mile is an English Unit that is used to measure the length of a linear surface.
Even though the kilometre has replaced it to a large extent as the standard measure of length, it is still the main unit of measurement for distances in the United States, the United Kingdom, Liberia and UK and US oversees territories.
Miles are longer than kilometres as a kilometer is equivalent to only 0.621371 miles.
1 mile is therefore;
= 1/0.621371
= 1.609344 kilometers.
A news article estimated that only 5% of those age 65 and older who prefer to watch the news, rather than to read or listen, watch the news online. This estimate was based on a survey of a large sample of adult Americans. Consider the population consisting of all adult Americans age 65 and older who prefer to watch the news, and suppose that for this population the actual proportion who prefer to watch online is 0.05. A random sample of n = 100 people will be selected from this population and p, the proportion of people who prefer to watch online, will be calculated.
(a) What are the mean and standard deviation of the sampling distribution of p? (Round your standard deviation to four decimal places.
(b) Is the sampling distribution of p approximately normal for random samples of size n 100? Explain.
i. The sampling distribution of p is approximately normal because np is less than 10.
ii. The sampling distribution of p is approximately normal because np is at least 10.
iii. The sampling distribution of p is not approximately normal because np is less than 10
iv. The sampling distribution of p is not approximately normal because np is at least 10
v. The sampling distribution of p is not approximately normal because n(1 - p) is less than 10.
(c) Suppose that the sample size is n = 400 rather than n = 100, what are the values for the mean and standard deviation when n=400?
Does the change in sample size affect the mean and standard deviation of the sampling distribution of p? If not, explain why not.
i. When the sample size increases, the mean increases.
ii. When the sample size increases, the mean decreases.
iii. When the sample size increases, the mean stays the same.
iv. The sampling distribution is always centered at the population mean, regardless of sample size.
v. When the sample size increases, the standard deviation increases.
vi. When the sample size increases, the standard deviation decreases.
Answer:
3.25
Step-by-step explanation:
Each corner of a rectangular prism is cut off. Two (of the eight) cuts are shown. How many edges does the new figure have? Assume that the planes cutting the prism do not intersect anywhere in or on the prism. EXPLAIN PLS
Answer:
36
Step-by-step explanation:
Each cut creates a triangular face where the corner used to be. That face adds three edges to the figure. The 8 cuts add a total of 8×3 = 24 edges to the 12 edges the prism already had.
The new figure has 12+24 = 36 edges.
Solve the inequality -3 < 3/2(2-x)<5
Answer:
Step-by-step explanation:
I tried something similar to the notation of (x+2)^7, etc, did not get close at all, how would this be solved?
[tex] 24 = 3 \cdot 2^3 [/tex]
[tex]96=3\cdot 2^5 [/tex]
[tex] 384=3\cdot2^7[/tex]
hence it is a geometric progression, with a multiplied constant [tex]3[/tex]
Sum of G.P. of [tex]n[/tex] terms [tex] S_n = a\dfrac{r^n-1}{r-1}\quad \text{where } r \text{ is the common ratio and } a \text{ is the first term} [/tex]
and [tex] r=-2^2=-4[/tex]
Note that the constant should be separated, so
[tex] a= -8 [\tex]
after plugging the values, you'll get the answer
[tex] -26216 \times 3 [/tex]
which option C
Answer:
C
Step-by-step explanation:
-24+96-384+...
a=-24
r=96/(-24)=-4
[tex]s_{7}=a\frac{1-r^7}{1-r} \\=-24\frac{1-(-4)^7}{1-(-4)}\\=-24\frac{1+4^7}{1+4} \\=-24\frac{1+16384}{5} \\=-24\frac{16385}{5} \\=-24 \times 3277\\=-78648[/tex]
4x + 8 + 3(x - 2) + 3x ,combining liked terms
Answer:
4x+8 +3x - 6 + 3x
10x + 8 - 6
10x + 2
A waiter earns $11.00 an hour and approximately 10% of what he serves in a shift. If he works a 6 hour shift and takes $425 in orders, his total earnings for the six hours would be:
Answer:
108.50
Step-by-step explanation:
First find the wages
11* 6 = 66 dollars
Then figure the commission
10% of 425
.10 * 425
42.5
Add the two amounts together
42.5+66
108.50
A stone is dropped of a 1296-ft-cliff. The height of the stone above the ground is given by the equation h= - 16t^2+1296, where h is the stone’s height in feet, and t is the time in seconds after the stone is dropped. Find the time required for the stone to hit the ground.
When stone hits the ground, it's height will be zero, and since we're finding the time that's required for the stone to hit the ground, we can set h = 0 and solve for t.
The time required for the stone to hit the ground[tex]v(9)=-288,a(9)=-32[/tex].
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given that,
A stone is dropped of a [tex]1296[/tex]-ft-cliff. The height of the stone above the ground is given by the equation [tex]h=-16t^2+1296[/tex], where [tex]h[/tex] is the stone’s height in feet, and [tex]t[/tex] is the time in seconds after the stone is dropped.
So,
[tex]h=-16t^2+1296\\\\v(t)=\frac{ds}{dt}=-32t+0\\\\=-32t\\\\\\a(t)=\frac{dv}{dt}=-32[/tex]
When [tex]s(t)=0[/tex] now solve it for [tex]t[/tex] so,
[tex]-16t^2+1296=0\\\\t^2=\frac{1296}{16}\\\\t^2=81\\\\t=\sqrt{81}\\\\t=9seconds[/tex]
When [tex]t=9[/tex] so,
[tex]v(9)=-32(9)\\\\v(9)=-288[/tex]
nd
[tex]a(9)=-32[/tex]
Hence, the time required for the stone to hit the ground[tex]v(9)=-288,a(9)=-32[/tex].
To know more about the equation
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NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!
Find the 5th term for the following recursive formulas/sequences. SHOW YOUR WORK!!
c. 1/6, 2/3, 8/3, . . .
Answer:
128/3
Step-by-step explanation:
The sequence follow the rule (1/6)*(4)^(n-1). The 5th term will be (1/6)*(4)^4=128/3
Answer:
128/3
Step-by-step explanation:
1/6, 2/3, 8/3, . . .
1/6, 4/6, 16/6
We are multiplying by 4 each time
1/6 *4 = 4/6
4/6 * 4 = 16/6
This is a geometric sequence with the common ratio of 4
an = a1 (r)^(n-1)
an = 1/6 (4) ^(n-1)
Let n = 5
a5 = 1/6 (4)^(5-1)
a5 = 1/6 (4)^4
a5 = 1/6 * 256
a5 =128/3
The image of (-2, 7) reflected across the x-axis is
2
(-2,-7)
b)
(2,7)
(2, -7)
d)
(-2, 7)
Answer:
(-2,-7)
Step-by-step explanation:
because it's reflected across the x-axis, only the y-intercept will change
Answer:
(-2,-7)
Step-by-step explanation:
All you have to do is draw a graph and draw the point across the x axis in the same row and same distance from the x axis.The distance is 7 so you just change it to -7.
what is the volume of a rectangular prism with length 5cm, width 3cm and height 4cm?
Answer:
60 cm^3
Step-by-step explanation:
The equation to find the volume for a rectangular prism is length times width time height.
So just multiply 5 times 3 times 4
V=(5)(3)(4)
V=60
Answer:
60cm^3
Step-by-step explanation:
w=3cm
h=4cm
l=5cm
[V=whl]
V=3×4×5=60
limit chapter~ anyone can help me with these questions?
please gimme clear explanation :)
Step-by-step explanation:
I(S) = aS / (S + c)
As S approaches infinity, S becomes much larger than c. So S + c is approximately equal to just S.
lim(S→∞) I(S)
= lim(S→∞) aS / (S + c)
= lim(S→∞) aS / S
= lim(S→∞) a
= a
As S approaches infinity, I(S) approaches a.
point slope of the line equation, slope=4, passing through(7,2)
Answer:
Step-by-step explanation:
Point-slope equation for line of slope m that passes through (x₀, y₀):
y-y₀ = m(x-x₀)
apply your data
y-2 = 4(x-6)
Answer:
y−2= −2(x−7)
Step-by-step explanation:
khan academy says its right
Find a 122 of the sequence 5, 8, 11, ....
Answer:
B.368
Step-by-step explanation:
Answer:
Step-by-step explanation:
Look at picture pleasee
Answer:
Point A.
.................
Answer:
It is the Picture B.
Step-by-step explanation:
For a free lunch giveaway, a restaurant draws 1 card from a bowl of business cards. Val puts in 5 cards. The bowl has 50 cards. What is the probability that Val will win?
Answer:The probability Val will win is 1/5 or 10/50 or 2/10
Step-by-step explanation:
Choose Yes or No to tell if each statement is true.
3
.
072
>
3
.
2
Choose...
728
.
307
>
729
.
07
Choose...
12
.
040
=
12
.
04
Choose...
531
.
135
<
531
.
315
Choose...
Answer:
1. No 2. No 3. Yes 4. Yes
Step-by-step explanation:
Compare the value of each digit from the leftmost digit.
The sum of the interior angles of a regular nonagon (9-gon) is equal to
The sum of the interior angles is 1260°
Solve for 2 in the diagram below.
45°
150
42°
ea
Stuck? Watch a video or use a hint.
Step-by-step explanation:
Hi, there!!!
It's so simple..
Let me clear you, alright.
Here, On the fig line, OE is just a confusing line. If you look it in simple way,
AB and CD are interested at a point O.
so, angle AOD and angle COB are equal.{ because they are vertically opposite angle}
so, angle AOD= angle COB
or, 4x°=45°+15°
or, 4x°= 60°
or, x= 60°/4
Therefore, x= 15°.
Hope it helps....
tan inverse X + tan inverse Y + tan inverse z=pie prove that X+Y+Z=xyz
Answer:
see explanation
Step-by-step explanation:
Given
[tex]tan^{-1}[/tex]x + [tex]tan^{-1}[/tex]y + [tex]tan^{-1}[/tex] z = π
let
[tex]tan^{-1}[/tex]x = A , [tex]tan^{-1}[/tex]y = B , [tex]tan^{-1}[/tex]z = C , so
x = tanA, y = tanB , z = tanC
Substituting values
A + B + C = π ( subtract C from both sides )
A + B = π - C ( take tan of both sides )
tan(A + B) = tan(π - C) = - tanC ( expand left side using addition identity for tan )
[tex]\frac{tanA+tanB}{1-tanAtanB}[/tex] = - tanC ( multiply both sides by 1 - tanAtanB )
tanA + tanB = - tanC( 1 - tanAtanB) ← distribute
tanA+ tanB = - tanC + tanAtanBtanC ( add tanC to both sides )
tanA + tanB + tanC = tanAtanBtanC , that is
x + y + z = xyz
Stepwise regression is a variable screening method, not a model building method.
A. True
B. False
Answer:
A. True
Step-by-step explanation:
Stepwise regression is a variable-selection method for independent variables.
Stepwise regression helps us to recognize and choose the most handy descriptive variables from a list of several reasonable independent variables.
It entails a series of steps that is drafted to locate the most handy X-variable to incorporate in a regression model. During each step of the course of action or method, each X - variable is estimated by applying a set criterion to determine if it is meant to exist in the model.
The basis for selection can be choosing a variable which satisfies the stipulated criterion or removing a variable that least satisfies the criterion. A typical illustration of such criterion is the t value.
Find the sum of the given series up to the 100th term: 3 + 8 + 13 + 18 +......
a) 25,100
b) 25,050
c) 25,200
d) 25,300
Answer:
B = 25050
Step-by-step explanation:
S=n/2(2a1+(n-1)d)
Is the relationship shown by the data linear? If so, model the data with an equation.
Answer:
4th option
Step-by-step explanation:
The relationship is linear,
putting the value of x in the right side of the equation of option 4, you'll get the value of the left side
putting, x=1
y+4=-1/2(x-1)
y=-1/2(1-1)-4
y=-4
putting, x=7
y+4=-1/2(7-1)
y=-1/2(6)-4
y=-6/2-4
y=-3-4
y=-7
x + y + z = -6 -2x – 2y – 2z = 12 5x + 5y + 5z = -30 find x y and z please
Answer:
x = s, y = t, z = -6 -s -t
Step-by-step explanation:
These are dependent equations. For some values s and t, the solution is ...
x = s, y = t, z = -6 -s -t
pls helpppp find the total area of the prism
Answer:
Total area = [tex](54+\frac{9\sqrt{3} }{2})[/tex] square inch
Step-by-step explanation:
Total area of the prism = Area of the rectangular sides (lateral sides) + area of the triangular bases
Area of the rectangular sides = 3 × (length × width)
= 3 × (3 × 6)
= 54 square inch
Area of the triangular bases = 2 × (Area of an equilateral triangle)
= 2 × [tex]\frac{\sqrt{3}}{4}(\text{Side})^2[/tex]
= [tex]\frac{\sqrt{3}}{2}(\text{Side})^2[/tex]
= [tex]\frac{\sqrt{3}}{2}(3)^2[/tex]
= [tex]9(\frac{\sqrt{3} }{2})[/tex]
= [tex]\frac{9\sqrt{3}}{2}[/tex] square inch
Total surface area = (54 + [tex]\frac{9\sqrt{3}}{2}[/tex]) square inch
Give the digits in the tens place and the tenths place.
97.42
Answer:
9: tens place
4: tenths place
Step-by-step explanation:
800,000+700 standard form
Answer:
800700
Step-by-step explanation:
800000 + 00000 + 0000 + 000 + 00 + 0
000000 + 00000 + 0000 + 700 + 00 + 0
------------------------------------------------------------
= 800700
Answer:
Hey there!
800000+700=800700
Hope this helps :)