Answer:
The intersection operation is denoted by the symbol ∩. The set A ∩ B—read “A intersection B” or “the intersection of A and B”—is defined as the set composed of all elements that belong to both A and B. Thus, the intersection of the two committees in the foregoing example is the set consisting of Blanshard and Hixon.
According to Newton's Law of Cooling, the temperature T(t) of a hot object, at time t after being placed in an environment with a constant temperature C, is given by T(t)=C+(To-C)e^-kt, where To is the temperature of the object at time t = 0 and k is a constant that depends on the object. If a hot cup of coffee, initially at 190°F, cools to 125°F in 5 minutes when placed in a room with a constant temperature 75°F, how long will it take for the coffee to reach 100°F?
Answer:
Given the temperature of an object at time t as
-kt f(t) = T. + Ce +
where TO is the environment temperature, C is the difference in temperature of environment and object.
Given a boliling water at 100 degree celsius is placed in a freezer at 0 degree celsius, so we have
To = 0
C = 100 – 0= 100
After 26 minutes the temperature of water is 50 degree celsius.
f(26) = 0 + 100e -26k = 50
100e 26K = 50
-26 e = 0.5
-26%: In e = ln 0.5
-26% = ln 0.5
In 0.5 k= 26
So the temperature of water after 78 minutes will be,
f(78) = 100e -78 In 0.5 26 = = 12.5 =
The temperature of water after 78 minutes will be approximately 12.5 0 C
Step-by-step explanation:
7.
V= lwh for w
What’s the explanation
Answer:
w=[tex]\frac{V}{lh}[/tex]
Step-by-step explanation:
just divide lh from both sides
Graph the number on the number line.
Answer:
Step-by-step explanation:
can u take good picture
What is the area of the rectangle? 7 feet 3 feet 3 feet 7 feet
Answer:
21ft^2
Step-by-step explanation:
A=LW
A= 3ft x 7ft
A=21ft^2
Help help help help help help help help help
Answer:
(-1,1)
Step-by-step explanation:
Im pretty sure the answer to A'' would be the inverse of A, as the triangle was mirrored on the opposite quadrant of the graph. (The inverse or opposite of (1,-1) would be (-1,1) ).
Hope this helped!
Need help with this
Answer:
It CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
Step-by-step explanation:
nope
can anyone help with this, please
Answer:
Step-by-step explanation:
As the zeros are x = -2 and x = 2, the factors are (x + 2) and (x - 2)
y = C(x + 2)(x - 2) = C(x² - 4)
applying the y intercept of (0, 4)
4 = C(0² - 4)
C = -1
y = -1(x² - 4)
y = 4 - x²
Answer:
hi
Step-by-step explanation:
How much money was invested at 5% annual simple interest for 4 years to earn $2870?
Answer:
Principal (amount invested) = $14,350
Step-by-step explanation:
Given the simple interest amount of $2,870 earned in 4 years at 5% interest rate:
In order to find the principal amount that was invested, we could use the simple interest formula and isolate the variable, P, algebraically.
I = P × r × t
where:
I = interest earned = $2,870
P = principal amount invested = ?
r = interest rate = 5% or 0.05
t = time = 4
Divide both sides by (r × t ) to isolate P :
[tex]\displaystyle\mathsf{\frac{I}{(r\:\times\:t)}\:=\:\frac{P\:\times\:r\:\times\:t}{(r\:\times\:t)}}[/tex]
[tex]\displaystyle\mathsf{P\:=\frac{I}{(r\:\times\:t)}}[/tex]
Substitute the given values into the formula for P:
[tex]\displaystyle\mathsf{P\:=\frac{I}{(r\:\times\:t)}\:=\:\frac{2870}{0.05\:\times\:4}}[/tex]
[tex]\displaystyle\mathsf{P\:=\frac{2870}{0.20}=14,350}[/tex]
Therefore, the principal amount invested is $14,350.
These signs give information about two different towns.
Study these signs carefully. Then, answer the questions and complete the statements
about them below.
Use the drop-down menus to complete each statement.
Answer:
In which town does the total number have meaning?
Answer: Town B
For Town A, it does not, cannot, does not.
For Town B, does, can, does.
Jeanine Baker makes floral arrangements. She has 22 different cut flowers and plans to use 6 of them. How many different selections of the 6 flowers are possible?
Since the order of the flowers does not matter, this is a combination of 22 things taken 6 at a time.
Answer:
16
Step-by-step explanation:
In a class of 20 kindergarteners, 10 are wearing blue shirts, 5 are wearing green shirts, and 5 are wearing red shirts. A group of 10 kindergarteners is chosen at random to go outside for play time. What is the probability that exactly two of the group are wearing red shirts
as there are 30 children and from 30 children 2 will be picked (which will than be 2/30)
but if we simplify that by 2, than that will lead to the ANSWER OF: 1/15
What is the distance between the points (7 , 34) and (7 , 19) in the coordinate plane?
Answer: 15.00 units
Explanation: When we know the horizontal and vertical distances between two points we can calculate the straight line distance like this: distance = √ a2 + b2
Mary burns 35 calories when she rides her bicycle to the park. After riding, she
burns 9.5 calories per minute while running.
Write a linear equation for the total amount of calories, C, that Mary will burn if
she cycles to the park and runs m minutes.
Answer/Step-by-step explanation:
C = 35 + 9.5m --> This means that she burns an initial 35 calories plus 9.5 calories for every minute she runs. This will tell us the total amount of calories she burns for a given amount of time.
Answer:
C = 35 + 9.5m
Step-by-step explanation:
This means that she burns an initial 35 calories plus 9.5 calories for every minute she runs. This will tell us the total amount of calories she burns for a given amount of time.
Anyone that can answer it right gets 30!
Answer:
First
Step-by-step explanation:
1.
[tex]\frac{48}{8} + 2^{3} = 6 + 8 = 14[/tex]
[tex]5 + 3^2 = 5 + 9 = 14[/tex]
2.
[tex]9^{2} - 7^{2} = 81 - 63 = 18[/tex]
[tex]\frac{20}{7-2} = \frac{20}{5} = 4[/tex]
3.
[tex]\frac{150}{5^2} = \frac{150}{25} = 6[/tex]
[tex]30 - 4^{2} - 12 = 30 - 16 - 12 = 30 - 28 = 2[/tex]
4.
[tex]\frac{8 - 7}{2} - 12 = 0.5 - 12 = -11.5[/tex]
[tex]22 - 2 * 3 = 22 - 6 = 16[/tex]
Answer:
first and fourth
Step-by-step explanation:
Equate and compare both sides of the equations. If both sides are equal then the equation is true.
48 ÷ 8 + 2³ = 6 + 8 = 14
right side = 5 + 3² = 5 + 9 = 14
This is a true equation
---------------------------------------
9² - 7² = 81 - 49 = 32
right side = 20 ÷ (7 - 2) = 20 ÷ 5 = 4
This is not a true equation
---------------------------------------
[tex]\frac{150}{5^2}[/tex] = [tex]\frac{150}{25}[/tex] = 6
right side = 30 - 4² - 12 = 30 - 16 - 12 = 14 - 12 = 2
This is not a true equation
--------------------------------------------------
[tex]\frac{8(7)}{2}[/tex] - 12 = [tex]\frac{56}{2}[/tex] - 12 = 28 - 12 = 16
right side = 22 - 2 × 3 = 22 - 6 = 16
This is a true equation
The lines shown below are parallel. If the green line has a slope of 5, what is
the slope of the red line?
A. 5
O B. //
1
C.
091
D. -5
Answer:
its C. 1/5
Mark me BRAINLIESTHELP ME PLEASE !!!!!!!!
Se construye cubo de madera de qué tiene 26 m de aristas y se debe cubrir todo el cubo con plástico cuántos metros cuadrados de plástico se necesitará
Answer:
i tink its a
Step-by-step explanation:
can anyone solve this step by step for me
Answer:
0.5 ㏑ | 1-2x | +c
Step-by-step explanation:
Formula: ∫ 1/ax+b dx = 1/a ln Iax+bI +c
Anyone able to help with this?
[tex]W = 23.7°[/tex]
Step-by-step explanation:
The formula given is the statement of Snell's law of refraction. We are given the following:
[tex]I_a = 1.0003[/tex]
[tex]I_w = 1.3[/tex]
[tex]A = 31.5°[/tex]
So we need to find the angle of refraction W. Starting with Snell's law,
[tex]\dfrac{I_w}{I_a} = \dfrac{\sin A}{\sin W} \Rightarrow \sin W = \left(\dfrac{I_a}{I_w}\right)\sin A[/tex]
Plugging in the given values, we get
[tex]\sin W = \left(\dfrac{1.0003}{1.3}\right)\sin{31.5°} = 0.402[/tex]
Solving for the angle W, we then get
[tex]W = \sin^{-1}(0.402) = 23.7°[/tex]
If Shane’s average number of jumps completed is greater than one-half, then the
eighth graders earn 50 points. If not, the seventh graders earn 50 points. Which
grade should be awarded 50 points?
Ok so, it all depends if Shane is likely to jump win over all of the other seventh graders then the eighth graders should earn the 50 points...
But if the roles are reversed the the Seventh graders should earn the 50 points.
There is not a full answer to what I am saying but from speculation you should be able to decide..
Answer:
Step-by-step explanation:
pls help me i will mark as brilliant
Answer:
6
Step-by-step explanation:
[tex]45 \: min = 0.75 \: hour[/tex]
[tex]0.75 * 8 = 6 \: hours[/tex]
Hi! Can someone help me with this lab? It's 67% of my grade and I totally forgot to study for it.. It's only 4 questions but they count a lot!
Answer:
C. Transitive property of ≅Step-by-step explanation:
The statement #5 and #7 give an outcome of the statement #8:
ΔABG ~ ΔACF and ΔACF ~ ΔDCB ⇒ ΔABG ~ ΔDCBThis is called transitive property of congruence:
If one triangle is similar with another two, then the the other two triangles are similar to each otherCorrect choice is C
Answer:
C. Transitive property of congruence
Step-by-step explanation:
Transitive property of congruence means, if one pair of lines or angles or triangles are congruent to a third line or angle or triangle, then the first line or angle or triangle is congruent to the third line or angle or triangle.
Solve the equation for x:
x2 = 196
Answer: x= 1/196
Step-by-step explanation:
to convert 13 feet to yards you would use the ratio 1 yard / 3feet or true or false
Answer:
True
Explanation:
3 feet is 1 yard so 13/3 is 4.3 yards approximately
True
[tex] \frac{1 \: yard}{3 \: feet} = \frac{x \: yard}{13 \: feet} [/tex]
3x = 13
[tex]x = \frac{13}{3} yards[/tex]
Ramon Escalante purchases a digital camera for $399.99 in Omaha Nebraska, where the sales tax rate is 5.75 percent
A. what is the sales tax?
B. what is the total purchase price?
Answer:
[tex] \: [/tex]
A. The sales tax will be $ 22.999425
so, the sales tax » $ 23
5.75 % of $ 399.99
B. The Total Purchase will be →
$ ( 399.99 + 22.999425 ) $ 422.989425or
$(23 + 399.99) $ 422.99Y=4x+8 y=-x-7 solve by substitution
Step-by-step explanation:
Alrighty! here you go image.
Answer:x=15
Step-by-step explanation:
At a local print shop, 14 copies can be made for $4. At this rate, how how many copies could be made for $8?
Full explanation (No links)
Answer:
28
Step-by-step explanation:
the ratio is written as copies/dollars.
14/4=x/8
since we can multiply 4 by 2 to get 8, multiply 14 by 2 as well.
14/4=28/8
how do you solve this problem lol
right answers only plz and thank you
Answer:
letter A
Step-by-step explanation:
3x=0
x=0
x-2=0
x=2
2x+7=0
2x=-7
x=-7/2
right answer only plz and thank u
Answer:
[tex](x-1)^2(x+3)[/tex]
Step-by-step explanation:
For factorization the given expression you can use the Ruffini's rule.
First find the divisors of the independent term (these are the possible rational roots), in the given polynomial the independent term is [tex]3[/tex].
[tex]3 = \{\pm1,\pm3\}[/tex]
Now replace each number in the polynomial
[tex]P(1) = 1^3 + 1^2 - 5(1) + 3 = 0[/tex]
If the result is equal to 0 that's meaning that is a possible root of the polynomial. Then for know if is a root you have to divide the polynomial by [tex](x - \text{possible root})[/tex].
[tex](x^3 + x^2 -5x+3 )/ (x-1)[/tex]
In the first row are the coefficients of the given polynomial.
In the second row are the product between the coefficients and the independent term of the [tex]x-1[/tex].
The third row are the coefficients of the quotient polynomial (except the last that is the remainder).
[tex]\qquad 1\qquad 1\qquad-5\qquad \quad3\\1\qquad\qquad1\qquad \quad 2\qquad-3\\-------------\\ 0 \ \ \quad1 \qquad 2 \qquad -3 \qquad \quad 0[/tex]
Because the last term is the remainder and it's 0 you can factorizate [tex](x-1)[/tex] and the quotient polynomial is equal to
[tex]x^2 + 2x -3[/tex]
So our current expression is [tex](x-1)(x^2 + 2x -3)[/tex], however you can factorizate the quotient polynomial in:
[tex]x^2 +sx +rx +rs = x^2 + 3x -x + 3(-1) = (x + 3)(x -1)[/tex]
So the last expression is:
[tex](x-1)(x+3)(x-1) = (x-1)^2(x+3)[/tex]