Answer: saucer 3 ounces smaller cup 3 ounces larger cup 6 ounces
Step-by-step explanation:
Show all work to multiply
(3+ square root -16) (5 – square root -25)
[tex]\left(3+\sqrt{-16} \right) \left(5-\sqrt{-25} \right)\\\\=\left(3+\sqrt{-1} \cdot \sqrt{16} \right) \left(5- \sqrt{-1} \cdot \sqrt{25} \right)\\\\=(3+4i)(5-5i)~~~~~~~~~~~~~~;\left[i=\sqrt{-1} \right]\\\\=15-15i + 20i - 20i^2\\\\=15+5i -20(-1)~~~~~~~~~~~~;[i^2 =-1]\\\\=15+5i +20\\\\=35+5i[/tex]
Hi need help for this maths question
a) If f(y) is a probability density function, then both f(y) ≥ 0 for all y in its support, and the integral of f(y) over its entire support should be 1. eˣ > 0 for all real x, so the first condition is met. We have
[tex]\displaystyle \int_{-\infty}^\infty f(y) \, dy = \frac14 \int_0^\infty e^{-\frac y4} \, dy = -\left(\lim_{y\to\infty}e^{-\frac y4} - e^0\right) = \boxed{1}[/tex]
so both conditions are met and f(y) is indeed a PDF.
b) The probability P(Y > 4) is given by the integral,
[tex]\displaystyle \int_{-\infty}^4 f(y) \, dy = \frac14 \int_0^4 e^{-\frac y4} \, dy = -\left(e^{-1} - e^0\right) = \frac{e - 1}{e} \approx \boxed{0.632}[/tex]
c) The mean is given by the integral,
[tex]\displaystyle \int_{-\infty}^\infty y f(y) \, dy = \frac14 \int_0^\infty y e^{-\frac y4} \, dy[/tex]
Integrate by parts, with
[tex]u = y \implies du = dy[/tex]
[tex]dv = e^{-\frac y4} \, dy \implies v = -4 e^{-\frac y4}[/tex]
Then
[tex]\displaystyle \int_{-\infty}^\infty y f(y) \, dy = \frac14 \left(\left(\lim_{y\to\infty}\left(-4y e^{-\frac y4}\right) - \left(-4\cdot0\cdot e^0\right)\right) + 4 \int_0^\infty e^{-\frac y4} \, dy\right)[/tex]
[tex]\displaystyle \cdots = \int_0^\infty e^{-\frac y4} \, dy[/tex]
[tex]\displaystyle \cdots = -4 \left(\lim_{y\to\infty} e^{-\frac y4} - e^0\right) = \boxed{4}[/tex]
is a half of a teaspoon more than a fourth of a teaspoon
Answer:
Half of a teaspoon is more than a fourth of a teaspoon
Step-by-step explanation:
1/2 is greater than 1/4
A rectangle has a perimeter of 270cm and its length is 2½cm times its width find its width
Answer:
Step-by-step explanation:
If you mean length is 2½ times its width not "2½cm times its width"
2(L + W) = 270
2(2.5W + W) = 270
2(3.5W) = 270
7W = 270
W = 38.5714285714...
W ≈ 38.57 cm
Answer:
Width = 38. 57 cm
Step-by-step explanation:
The perimeter of a Rectangle = 270 cm
Now,
Let's take x to be the width.
Length = 2½ = 5x/2
According to the formula,
The perimeter of a rectangle = 2 ( l + w )
270 = 2 ( 5x/2 + x )
270 = 5x + 2x
270 = 7x
x = 270/7
x = 38. 57 cm.
• The width of a rectangle is 38.57 cm
Last year's computer models are discounted 20%. What was the original price to the nearest dollar of a computer that now costs $1,480?
Answer:
$1850Step-by-step explanation:
If the Original price was $ X , Then[tex]x - 0.20x \: = 1480[/tex]
[tex]0.8x = 1480[/tex]
[tex]x = 1480 \div 0.8[/tex]
So , X = 1850 dollars .Hope this helps you !!!I'm not sure if this is correct, but I got this
Last year’s computer models are discounted 20%. If a computer is on sale for $1,480, what is the original price of the computer rounded to the nearest dollar?
20% = 0.2
1,480 x 0.2 = 296
1,480 + 296 = 1,776
Answer: 1,776
Again, I don't know if this is correct, so don't be 100% sure with my response.
Points E, D, and H are the midpoints of the sides of ΔTUV. UV=82, TV=106, and HD= 82. Find HE.
Answer:
41
Step-by-step explanation:
53/106 = x/82 similar triangles
x=41
Lena bought 40 tickets to use at a carnival. She used some of the tickets to ride the bumper cars and play some games. Now she has 24 tickets left. What is the percent of decrease in the number of tickets that he has?
a. 66.6
b. 40
c. 60
d. 80
Answer:
40
Step-by-step explanation:
that's how it is done hope it will help
16,40 and 56 LCM
Solve please
Answer:
pic?
Step-by-step explanation:
send me the picture please
6x+3y=13 find the value
6x+3y=13
6x+3y-13=13--13
6x+3y-13=0
(3v^5-34v^4+79v^3+5v^2+21v+19)\(v-8)
Answer:
3 big guys
Step-by-step explanation:
Answer:
Step-by-step explanation:
we find by synthetic division.
v-8=0
v=8
8 | 3 -34 79 5 21 19
| - 24 -80 -8 -24 -24
|----------------------------------
3 -10 -1 -3 -3 |-5
Quotient:-3v^4-10v³-v²-3v-3
Remainder:- -5
Is (9, –6) a solution to this system of inequalities?
17x + 12y > 19
10x + 5y > –13
Answer:
Yes
Step-by-step explanation:
( 9 , -6 )
17(9) + 12(-6) > 19
153 + (-72) > 19
81 > 19
10(9) + 5(-6) > -13
90 + (-30) > -13
60 > -13
What is the third number in this sequence?
Step-by-step explanation:
x = the first number of the sequence
x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) = 519
6x + 1 + 2 + 3 + 4 + 5 = 519
6x = 504
x = 84
so, the third number is x+2 = 84 + 2 = 86
Listen
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Figure B is a scale image of Figure A, as shown.
2.5
Figure A
Figure B
Enter the scale factor applied to Figure A to produce Figure B.
Enter your answer as a fraction, like this. 42/53
Answer:
scale factor = [tex]\frac{14}{5}[/tex]
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original.
scale factor = [tex]\frac{7}{2.5}[/tex] = [tex]\frac{7(2)}{2.5(2)}[/tex] = [tex]\frac{14}{5}[/tex]
What's does A equal?
Answer:
x = 65
Step-by-step explanation:
2x + 2(2x-15) = 360
2x + 4x - 30 = 360
6x = 390
x = 65
x=y^2+4y+4 solve for y
Answer:
y=
x
−2
y=−
x
−2, x≥0
y=−
x−2, x≥0
Step-by-step explanation:
Hey , can you help me with this math equation ?
The gas tank on a car holds 13.3 gallons. If the car goes 199.5 miles on a single tank, how many miles per gallon does the car get?
Answer:
292.6
Step-by-step explanation:
Linda deposits $90,000 into an account that pays 6% interest per year, compounded annually.
Bob deposits $90,000 into an account that also pays 6% per year. But it is simple interest.
Find the interest Linda and Bob earn during each of the first three years.
Then decide who earns more interest for each year.
Assume there are no withdrawals and no additional deposits.
Answer: Linda earns more interest
Step-by-step explanation:
Linda: 90000 x 1.06^3 -90000 = 17191.44
Bob: (90000 x 1.06 - 90000) x 3 = 16200
17191.44 > 16200
I need help solving this problem
Solve for X
Answer:
x = -7
Step-by-step explanation:
The 2 horizontal lines are parallel as given ion the problem.
The x + 97 angle is congruent to the right angle.
x + 97 = 90
x = -7
A
3
-2
-1
0
2
3
4
В.
The midpoint of AB = ([?],[ ])
Enter
Step-by-step explanation:
hope it will help you and please mark the answer as brillant please.
The perimeter of a rectangular field is 314 m.
If the width of the field is 72 m, what is its length?
Answer:
85m
Step-by-step explanation:
Perimeter of a rectangle = 2(l+b)
b=72m, l=?
perimeter =314m
314=2(l+72)
314/2= l+72
157=l+72
l=157-72
l=85m
HELP
HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.
THX
100 points on the line
Answer:
x = 7 & y = 8
Step-by-step explanation:
We know that
Mean = Sum of terms/Total terms
=> Mean = 4 + 6 + x + y + 10/5
=> Mean = 20 + x + y/5
Now,
Median = (n + 1)/2
=> Median = (5 + 1)/2
=> Median = 6/3
=> Median = 3rd term = x
So,
x = 20 + x + y/5
x × 5 = 20 + x + y
5x = 20 + x + y
5x - x = 20 + y
4x = 20 + y
Since x and y are in order so,
Possible outcomes will be 7,8 & 9
(7,8) & (8,9) & (7,9)
Taking x = 7 and y = 8
4(7) = 20 + 8
28 = 28
Hence,
x = 7 and y = 8
Answer:
y=7 x=8
Step-by-step explanation: hope you do well in school
y = x^2+5x-3
y-x=2
What is the solution of the linear-quadratic system of equations
Answer:
(-5,-3)
(1,3)
Step-by-step explanation:
Solving with substitution
Set both equations to y = ...
y = x^2 + 5x - 3
----------------
y - x =2
y = x + 2
----------------
Substitute one of the Y's with the other Y = equation.
x + 2 = x ^2 + 5x -3
Set one side to 0
0 = x^2 + 4x -5
x^2 + 4x - 5 = 0
Simplify by factoring
(x-1) (x+5)
Get your X values
x-1 = 0
x = 1
x+5 = 0
x = -5
Plug in each X into one of the equations to get your Y value.
1st X
y = x + 2
y = 1 + 2
y = 3
When X = 1, Y = 3
2nd X
y = x + 2
y = -5 + 2
y = -3
When X = - 5, Y = -3
Your answers are (1,3) and (-5,-3)
What is the measurement of ADB?
A. 90
B. 95
C. 105
D. 145
Answer:
C)105
Step-by-step explanation:
sizde benim sorduğum soruları cevaplarsanız sevinirim doğru ve hızlı bir şekilde
Should I write the answer as decimal or a whole number
Rachel buys 1 gallon of milk. Her sister Abby uses 15 quarts of the milk in a recipe. Then her mother
uses 3 cups of the milk in a different recipe
Select all of the true statements below
O A Rachel's mother uses more milk than her sister Abby uses
B. There are 56 fluid Ounces of milk left
C. There are 9 cups of milk left
D. There is more than gallon of milk lett,
O E There is more than 5 gallon of milk left,
Answer:
Option B
Step-by-step explanation:
Which TWO identify the same sequence?
A) f(x) = 6x + 4 for x = {1, 2, 3, ...}
B) f(x) = 10x + 4 for x = {1, 2, 3, ...}
C) a1 = 6 and an + 1 = an + 4 for n = {1, 2, 3, ...}
D) a1 = 10 and an + 1 = an + 4 for n = {1, 2, 3, ...}
E) a1 = 10 and an + 1 = an + 6 for n = {1, 2, 3, ...}
The sequences A and E are the same sequences.
What is Sequence?Sequences are set of numbers where the numbers are arranged in a specific order. Some of the common types of sequences are Arithmetic sequences and Geometric sequences.
A) f(x) = 6x + 4 for x = {1, 2, 3, ....}
f(1) = 10, f(2) = 16, f(3) = 22, ....
B) f(x) = 10x + 4 for x = {1, 2, 3, ...}
f(1) = 14, f(2) = 24, f(3) = 34, ....
C) a₁ = 6 and aₙ₊₁ = aₙ + 4 for n = {1, 2, 3, ...}
a₁ = 6, a₂ = a₁ + 4 = 10, a₃ = a₂ + 4 = 14, ....
D) a₁ = 10 and aₙ₊₁ = aₙ + 4 for n = {1, 2, 3, ...}
a₁ = 10, a₂ = a₁ + 4 = 14, a₃ = a₂ + 4 = 18, .....
E) a₁ = 10 and aₙ₊₁ = aₙ + 6 for n = {1, 2, 3, ...}
a₁ = 10, a₂ = a₁ + 6 = 16, a₃ = a₂ + 1 = 22, ....
A and E are the same sequences with a common difference 6 and the first term 10.
Hence A and E have the same sequence 10, 16, 22, .....
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Define the following sequence recursively: 96, 48, 24, 12, ....
Select one:
a. f(1)=12 f(n−1)=2⋅f(n) n≥2
b. f(1)=12 f(n−1)=−12⋅f(n) n≥2
c. f(1)=96 f(n)=12⋅f(n−1) n≥2
d. f(1)=96 f(n)=2⋅f(n−1) n≥2
Answer:
I do not see that any of your options will work.
Step-by-step explanation:
a) and b) have a false first statement because f(1) = 96, not 12
c) would create the sequence 96, 1152, 13824
d.) would create the sequence 96, 192, 384. 768...
I believe the correct answer would be
f(1) = 96 f(n) = ½f(n-1) n ≥ 2
which could be either c) or d) if taking potential typographic errors into account. Recording a "2" or "12" where a "½" ought to be.
Harry read 1/3 of a book on Saturday and three force of the remainder on Sunday. If he still had 75 pages left how many pages were in the book?
Which of the following expressions has a "x" term with a coefficient of 1?
An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is B.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression that has a "x" term with a coefficient of 1 is the expression that has positive one in from of the term that has x in the expression.
Now, If all the options are observed, then it can be found that the second option has x term with leading coefficient as 1.
Hence, the correct option is B.
Learn more about Expression here:
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