Answer:
9.1
Step-by-step explanation:
If Darryl and Ming worked together they takes 4.4 hours to complete the work.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, Working alone, Darryl can oil the lanes in a bowling alley in ten hours. Ming can oil the same lanes in eight hours.
Darryl can oil the lanes in a bowling alley in one hour = 1 /10
Ming can oil the same lanes in one hour = 1 / 8
The time it takes to work together,
1 / t = 1 / 10 + 1 / 8
1 / t = 10+8 / (10 × 8)
1/t = 9 / 40
t = 40/9
t = 4.4 hours
Thus, if Darryl and Ming worked together it takes 4.4 hours to complete the work.
Learn more about the equation here,
https://brainly.com/question/10413253
#SPJ2
Evaluate the expression \{10 x 7\}+(10 - 6){10×7}+(10−6)left brace, 10, times, 7, right brace, plus, left parenthesis, 10, minus, 6, right parenthesis.
Answer:
74
10x7=70
10-6=4
70+4=74
The result of the given mathematical expression is 74.
What is a mathematical expression?A mathematical expression consists of numbers, variables, and common mathematical operations such as addition, subtraction, multiplication, division, and more.
The given expression is:
{10 x 7} + (10 - 6)
= 70 + 4
= 74
Learn more about a mathematical expression here: https://brainly.com/question/23749699
#SPJ3
How much do you earn per week if your annual salary is $40,716?
Answer:
783
Step-by-step explanation:
There are 52 weeks in a year. Divide 40,716/52 and you get $783 weekly.
Carly made her uncle a quilt. The width is 7 2 5 ft and the length is 5 1 2 ft. What is the area of the quilt?
Answer:
2474
Step-by-step explanation:
(725 x 2) + (512 x 2)
(1450)+(1024)
=2474
What is the unit rate for mason's run?
Answer:
Picture or graph? I need a graph to answer.
Multiplying Polynomials.
Simplify each difference.
What is the total finance charge for a $4,250 loan at 13. 25% interest compounded monthly for 24 months? a. $25. 47 b. $202. 55 c. $611. 20 d. $4,861. 20 Please select the best answer from the choices provided A B C D.
The total finance charge for a $4,250 loan at 13. 25% interest compounded monthly for 24 months is $670.54.
What is Compound Interest?
Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
A is the final amount, P is the Initial principal balance, r is the interest rate, n is the number of times interest is applied per time period, t is the number of time periods elapsed.
As it is given that the principal amount is $4,250 while the interest rate is 13.25% compounded monthly and the principal amount is taken for 24 months, therefore,
[tex]A = P(1 + \frac{r}{n})^{nt}\\\\A = 4,250(1 + \frac{0.1325}{12})^{24 \times 2}\\\\A = 5,531.54[/tex]
Now, the total amount that is needed to be paid is $5,531.54, while $4,250 was the principal amount therefore, the finance charge or the interest is,
Financial Charge = Final amount - Principal amount
Financial Charge = $5531.54 - $4861 = $670.54
Hence, the total finance charge for a $4,250 loan at 13. 25% interest compounded monthly for 24 months is $670.54.
Learn more about Compound Interest:
https://brainly.com/question/25857212
A small regional carrier accepted 22 reservations for a particular flight with 20 seats. 14 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 42% chance, independently of each other.
a. Find the probability that overbooking occurs.
b. Find the probability that the flight has empty seats.
The probabilities for each case are:
a) P = 0.012b) P = 0.937How to get the probability?
There are 8 reservations for passengers that may go or not, such that the probability of arriving to the flight is P = 0.42, and the probability of not arriving is Q = 0.58
a) There will be overbooking if 7 or more passengers go to the flight, the probability that the 8 attend is:
P(8) = (0.42)^8
The probability that 7 attend is:
P(7) = 8*(0.42)^7*(0.58)
(where the factor 8 is because there are 8 permutations)
The total probability is:
P = P(8) + P(7) = 0.012
b) Will be empty seats if less than 6 people go.
The probability that exactly 6 of these people go to the flight is:
P(6) = (28)*(0.42)^6*(0.58)^2
Where there are 28 permutations, that is why we used that factor.
Then, the probability of having empty seats is:
P = 1 - P(6) - P(7) - P(8) = 0.937
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
If z = x² + y² , prove that:
[tex]{ \large{ \rm{ {x}^{2} \: {\frac{ {∂}^{2}z }{∂ {x}^{2} } + 2xy \frac{ {∂}^{2}z }{∂x∂y} } + {y}^{2} \frac{ {∂}^{2}z }{∂ {y}^{2} } = 2z}}}[/tex]
_____________
Don't Spam
Well explained answers needed
Answer:
Given That:
[tex]{ \large\longrightarrow { \rm{z = {x}^{2} + {y}^{2} }}}[/tex]
Partial differentiating both sides with respect to x, we get:
[tex]{ \large\longrightarrow { \rm{ \frac{∂z}{∂x} = 2x}}}[/tex]
Partial differentiating again with respect to x, we get:
[tex]{ \large\longrightarrow {{ \rm{ \frac{ {∂}^{2}z }{∂ {x}^{2} } \: = 2 \: \: \: \: \quad -(i) }}}}[/tex]
Consider again:
[tex]{ \large\longrightarrow {{ \rm{ z = {x}^{2} + {y}^{2} }}}}[/tex]
Partial differentiating both sides with respect to y, we get:
[tex]{ \large\longrightarrow { { \rm{ \frac{∂z}{∂y} = 2y}}}}[/tex]
Now, partial differentiating both sides with respect to x, we get:
[tex]{ \large\longrightarrow{ \rm{ \frac{ {∂}^{2}z }{∂x \:∂y } = 0 \: \: \: \quad - (ii) }}}[/tex]
Consider again:
[tex]{ \large\longrightarrow { \rm{ \frac{∂z}{∂y} = 2y}}}[/tex]
Partial differentiating both sides with respect to y, we get:
[tex]{ \large\longrightarrow{ \rm{ \frac{ {∂}^{2}z }{∂ {y}^{2} } = 2 \: \: \: \: \: \quad - (iii) }}}[/tex]
Now, consider Left Hand Side, we get:
[tex]{ \large{ \rm{ \longrightarrow {x}^{2} \frac{ {∂}^{2}z }{∂ {x}^{2} } + 2xy \frac{ {∂}^{2} x}{∂x \:∂y } + {y}^{2} \frac{ {∂}^{2}z }{∂ {y}^{2} } }}}[/tex]
From Equation (i),(ii) and (iii), we can write:
[tex]\longrightarrow{ \large{ \rm{ {2x}^{2} + 0 + {2y}^{2} }}}[/tex]
[tex]\longrightarrow \: { \large{ \rm{2( {x}^{2} + {y}^{2} ) }}}[/tex]
[tex]\longrightarrow{ \large{ \rm{2z}}}[/tex]
Therefore,
[tex]{ \large{\longrightarrow \: { \rm{{x}^{2} \frac{ {∂}^{2} z}{∂ {x}^{2} } + 2xy \frac{ {∂}^{2}x }{∂x \:∂y } + {y}^{2} \frac{ {∂}^{2}z }{∂ {y}^{2} } = 2z }}}}[/tex]
Hence Proved!!
[tex] \: [/tex]
Learn More:-[tex]\boxed{\begin{array}{c|c}\bf f(x)&\bf\dfrac{d}{dx}f(x)\\ \\ \frac{\qquad\qquad}{}&\frac{\qquad\qquad}{}\\ \sf k&\sf0\\ \\ \sf sin(x)&\sf cos(x)\\ \\ \sf cos(x)&\sf-sin(x)\\ \\ \sf tan(x)&\sf{sec}^{2}(x)\\ \\ \sf cot(x)&\sf-{cosec}^{2}(x)\\ \\ \sf sec(x)&\sf sec(x)tan(x)\\ \\ \sf cosec(x)&\sf-cosec(x)cot(x)\\ \\ \sf\sqrt{x}&\sf\dfrac{1}{2\sqrt{x}}\\ \\ \sf log(x)&\sf\dfrac{1}{x}\\ \\ \sf{e}^{x}&\sf{e}^{x}\end{array}}[/tex]
Refer to the attachments for answer
Used Concept :- [tex]{\boxed{\bf{\dfrac{d}{dx}(x^n)=nx^{n-1}}}}[/tex]hey so can u help me with this question?
Answer:
E. 0.75%
Step-by-step explanation:
Convert to a fraction, then convert to a decimal by dividing the numerator by the denominator.
You need a new computer for college that costs $1200. You
have worked all summer and earned $960. You will have to ask
your aunt if you can borrow the rest. What percent of the
computer's cost do you ask your aunt to pay?
Answer: 20%
Step-by-step explanation: $1200 - $960 = $240
20% of 1200 is 240.
If f(1) = 0, what are all the roots of the function f (x) = x cubed + 3 x squared minus x minus 3? Use the Remainder Theorem.
x = –1, x = 1, or x = 3
x = –3, x = –1, or x = 1
x = –3 or x = 1
x = –1 or x = 3
Answer:
x = –3, x = –1, or x = 1
Step-by-step explanation:
when I put -3.-1,or 1 as x I get 0
Remainder Theorem Way :
x^3-3x^2-x-3
x^2 (x+3) -1(x+3) = 0
(x^2 -1) (x+3) = 0
(x+1) (x-1) (x+3) = 0
x= 1 x= -1 x= -3
https://brainly.com/question/3470351
Answer:
its b
Step-by-step explanation:
cause I took test
What are the complete factors of the polynomial 7x - 7?
Answer:
7(x-1)
Step-by-step explanation:
If you factor out 7 from each term,
you end up with 7([tex]\frac{7x}{7} -\frac{7}{7}[/tex])
or 7(x-1)
whats the equation 2+2 yo
Answer: is 4 you dontiy noweok
Step-by-step explanation: beacouse 2 + 2 is for silli sdlkfjasñldkas
sadfjlñsakdfjñsldfk
sdfsdlfksjañdlkfj234
23
42
34
23
4234
4
56
6
345
.
Evaluate.
x² + 2
for x = 5.1
Answer:
28.01
Step-by-step explanation:
Since x = 5.1
Substitute
5.1² + 2
=26.01+2
Add the numbers
=28.01
Hence, Answer = 28.01
~Learn with Lenvy~
239 students went on a field trip. Six
buses were filled and 17 students traveled
in cars. How many students were in each
bus?
Answer:
37
Step-by-step explanation:
239-17=222
222/6=37
37
Jenny wishes to advertise her business, so she gives packs of 8 red flyers to each restaurant owner and sets of 4 blue flyers to each clothing store owner. At the end of the day, Jenny realizes that she gave out the same number of red and blue flyers. What is the minimum number of flyers of each color?
Answer:
8 red flyers and 8 blue flyers
Step-by-step explanation:
Packs of red flyers = 8
Blue flyers = 4
Jenny realizes that she gave out the same number of red and blue flyers
Find the lowest multiples of 8 and 4
8 = 8, 16, 24, 32
4 = 4, 8, 12, 16
The lowest common multiples of 8 and 4 is 8
Therefore,
The minimum number of flyers of each color is
8 red flyers and 8 blue flyers
Help me with this problem please.
Answer:
1.23, -4.8
Step-by-step explanation:
-3.57 - 1.23 = -4.8
Hope this helps :)
Please I need some steps!
Answer:
98.875
Step-by-step explanation:
Just add all the hours worked.
Hope this helps! :)
7505 ÷ 25
please send a photo
Answer:
300.2
7505/25=300.2 or300
30. Felipe va a hacer un banderín para su equipo de fútbol, con las medidas que se indican en la figura. ¿Cuánta tela ocupará para elaborar el banderín?
A) 930 cm2
B) 961 cm2
C) 1 860 cm2
D) 1 922 cm2
Veremos que el area del banderín es 930cm^2, entonces la opción correcta es A.
¿Que area tiene el banderin?Luego de una pequeña busqueda online, pude ver que el banderin es un triangulo isósceles con base de 31cm y altura de 60 cm.
Recordar que para un triangulo de base b y altura h, el area es:
A = b*h/2
Entonces el area del banderín va a ser:
A = (31cm)*(60cm)/2 = 930cm^2
Entonces la opción correcta es A.
Sí quieres aprender más sobre triangulos, puedes leer:
https://brainly.com/question/2217700
What are the values of a and b?
Answer:
A=44 B=68
Step-by-step explanation:
There are two congruent sides, therefore the corresponding angles are also congruent.
Answer:
a and b both are 56 degree
Step-by-step explanation:
this is due to it's isosceles triangle. So, we take (180-68):2
Need these also any help
==============================
Explanation:
For problem 1, we will plot a closed circle at x = -2 to include this value in the shaded solution set. We include it because of the "or equal to". The shading is to the right because of the "greater than". So we're describing all x values that are either equal to -2 or larger than -2. You could say "x is -2 or larger".
---------------------
In problem 2, we'll exclude the endpoint since we don't have "or equal to". We shade to the left to visually show all values smaller than 3.
---------------------
In problem 3, we follow the same idea as the last problem. We have an open hole to exclude the endpoint and shade to the right of 12 to describe all values larger than 12.
---------------------
With problem 4, we now include the endpoint again. This is similar to problem 1. We shade to the left to describe x values that are either -15 or smaller.
the function g(x) is a transformation of the quadratic parent function, f(x) = x^2. What function is g(x)
Answer:
Option (C)
Step-by-step explanation:
Quadratic parent function has been given as,
f(x) = x²
If we reflect this function across the x-axis and vertically stretched by a scale factor of 'k',
g(x) = -kx²
This quadratic function passes through a point (1, -4),
g(1) = -k(1)²
-4 = -k
k = 4
Therefore, the new function after transformation will be,
g(x) = -4x²
Option (C) will be the correct option.
The function g(x) is [tex]\rm g(x) = -4x^2\\[/tex].
Given that,
The function g(x) is a transformation of the quadratic parent function,
[tex]\rm f(x) = x^2[/tex]
We have to determine,
What function is g(x)?
According to the question,
The function f(x) is a transformation of the quadratic parent function,
[tex]\rm f(x) = x^2[/tex]
In the given figure the function g(x) reflect across the x-axis and is vertically stretched by a scale factor of 'k',
Then, The function g(x) is,
[tex]\rm g(x) = -kx^2[/tex]
Therefore,
The quadratic equation passes through the point (1,4),
[tex]\rm g(x) = -kx^2\\\\g(1) = -k(1)^2\\\\-4 = -k\\\\k= 4[/tex]
Therefore,
The function g(x) is,
[tex]\rm g(x) = -kx^2\\\\g(x) = -4x^2[/tex]
Hence, The required function g(x) is [tex]\rm g(x) = -4x^2\\[/tex].
For more details refer to the link given below.
https://brainly.com/question/411998
What is the 7th term in the geometric sequence described by this explicit
formula?
an = 800 - (0.5)(n-1)
Answer:
a₇ = 797
Step-by-step explanation:
substitute n = 7 into the explicit formula
a₇ = 800 - 0.5(7 - 1) = 800 - 0.5(6) = 800 - 3 = 797
Helppp meeeee with question 1 or can the all pleaseeee !!!
Answer:
1. 2c+9=m
Step-by-step explanation:
What is 7/10 + 3/5 answer
Answer:
■○■•♤•♤♤•》•♤~♤~♤~♤~♤♤~♤•♤○♤~
Use the Distributive Property to solve the equation. 3/5(a + 5. 25) = 7. 35a =
What is y+3=-(x-5) written in standard form
Answer:
the answer would be 3x+y-15
HELP ME OUT PLEASE!! UR THE BEST AND PLS DONT ADD IRRELEVANT ANSWERS
Mark the Following statement as True or False and provide an explanation for your
choice:
"If the price of Hula Hoops is set below its market equilibrium price there will be a
surplus of Hula Hoops in the market."
Hula Hoop Market
please can you help me with this question.
thank you.
Answer:
Follow the steps shown below.
Step-by-step explanation:
12cos(30)+2tan(60)
[tex]12*\frac{\sqrt{3} }{2} + 2\sqrt{3}[/tex]
[tex]6\sqrt{3} + 2\sqrt{3}[/tex]
[tex]8\sqrt{3}[/tex]
[tex]\sqrt{64*3}[/tex]
[tex]\sqrt{192}[/tex]