Answer:
a
Step-by-step explanation:
(x³ + y³ +z³) - 3xyz = (x + y + z )(x² +y² +z² - xy -yz - zx)
If x +y + z = 0, then
(x³ + y³ +z³) - 3xyz = 0 *(x² +y² +z² - xy -yz - zx)
(x³ + y³ +z³) - 3xyz = 0
(x³ + y³ +z³) = 3xyz
find the value of 3m-2, if m =7.
Answer:
37-2=35 or 3^7-2=2185
divide the sum of -5,-10 and -9 by the product of 2 and -3
Answer: 1/4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
=(-5)+(-10)+(-9)/2*(-3)
=-5-10-9/-6
=-24/-6
=4 ans.....
Find the sum and express it in simplest form.
(6u - 7c - 6) + (-2u + 4c)
Answer:
4u - 3c - 6
Step-by-step explanation:
Remove the parentheses and combine like factors.
(6u - 7c - 6) + (-2u + 4c)
6u - 7c - 6 - 2u + 4c
4u - 3c - 6
A portion of a line or Ray that extends from one point to another point is called what
Answer: line segment
Step-by-step explanation:
A line segment is a ray that extends from one point to another. Hope this helps!
Answer:
line segment
Step-by-step explanation:
If a portion of a line has two endpoints (two little black dots on its end), then it is a line segment.
If it has one dot and an arrow, its a ray. This has an endpoint and goes on forever in the direction of the arrow.
An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction S 49.17°W. How far is the plane from the airport (round to the nearest mile)? (2 points) PLEASE HELP ASAP 30 POINTS!!!!!!! need full explanation and work
Answer:
299.99 miles
Step-by-step explanation:
Since the plane traveled due west,
The total angle is 49.17 + 90
Represent that with θ
θ = 49.17 + 90
θ = 139.17.
Represent the sides as
A = 170
B = 150
C = unknown
Since, θ is opposite side C, side C can be calculated using cosine formula as;
C² = A² + B² - 2ABCosθ
Substitute values for A, B and θ
C² = 150² + 170² - 2 * 150 * 170 * Cos 139.17
C² = 22500 + 28900 - 51000 * Cos 139.17
C² = 51400 - 51000 (−0.7567)
C² = 51400 + 38,591.7
C² = 89,991.7
Take Square Root of both sides
C = 299.9861663477167
C = 299.99 miles (Approximated)
Hence, the distance between the plane and the airport is 299.99 miles
On a time limit answer asap pls
Answer:
160°
Step-by-step explanation:
Take notice that m∠1 and m∠2 are supplementary angles, meaning their angle measures will add up to 180°.
Since we know m∠2, we can find m∠1 easily.
180-20=160°
Hope this helped!
3 friends Mary, Peter, John have 10 flowers. Mary has the most flowers, Peter has the least. Know that the number of John's flowers is double Peter's . How many flowers that Peter, John and Mary got? (Detail Solution pls) Thanks
Answer:
Mary has 7 flowers
Peter has 1 flower
John has 2 flowers
Step-by-step explanation:
M + P + J = 10
J = 2P
M + P + 2P = 10
M + 3P = 10
P = 1
M + 3 = 10
M = 7
A study table of length 2 m and breath 1.25 m in decorted with square design of size 10x 10 find the number of such designs???
Answer:
250Step-by-step explanation:
Area of the shape of the table = Length * Breadth (Rectangular in nature)
Area of the study table = 2m * 1.25m
Converting the units to cm
Since 100cm is equivalent to 1m, hence;
Area of the study table = 200cm * 125cm
Area of the study table = 25000cm²
If the study table is decorated with square design of size 10cm x 10cm, then the area of one square of such design will be 100 cm².
The number of square designs = Area of the study table/area of one square design
= 25000/100
= 250
Hence the number of such design on the study table is 250
help! ill give brainliest
Answer:
84 square inches is the correct answer.
Step-by-step explanation:
I am 100% sure of that.
Hope this helps....
Have a nice day!!!!
Helpppp pleaseeeeee!!!
Answer: yes.
Step-by-step explanation:
Answer: Yes
The roll of the dice is a random process that Jon has no control over (this is assuming the dice is fair of course). Whoever is selected first is not selected again, so the probability for the second selection will increase as there is a smaller pool of people to pick from.
9x) = 27^y and X-Y = -3/2
find the value of y
Answer:
− y ln (27) + ln (9x) = 0
The amount of juice in a container is
normally distributed with a mean of
70 ounces and a standard deviation of
0.5 ounce. What is the probability that a
randomly selected container has more
than 70.5 ounces of juice?
Answer:
0.15866
Step-by-step explanation:
To solve for the above question, we use z score formula
z = (x - μ) / σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question,
x is the raw score = 70.5
μ is the population mean = 70
σ is the population standard deviation = 0.5
z = 70.5 - 70/ 0.5
z= 0.5/0.5
z = 1
We used the z score table to find the probability of z = 1
P( x = z) = P(x = 70.5)
= P( z = 1) = 0.84134
Hence, the probability that a randomly selected container has more than 70.5 ounces of juice is calculated as
P(x>70.5) = 1 - P(x =70.5)
P(x>70.5) = 1 - 0.84134 = 0.15866
Therefore, the probability that a randomly selected container has more than 70.5 ounces of juice is 0.15866.
A delivery truck company just bought a new delivery truck and they need to know the maximum volume it can carry. In the front of the truck, there is an extra ledge that sticks out over the driver's cab for extra storage space. What is the maximum amount of cargo that can fit into the new truck?
Answer:
The answer is below
Step-by-step explanation:
To find the maximum amount of cargo the truck can carry, we need to find the volume of the truck.
Volume = length × width × height.
Firstly 1 feet (1') = 12 inches (12"),
For the extra ledge that sticks out, the height = 7'8" = 7.667 feet, the width = 16'9" - 14'3" = 16.75 - 14.25 = 2.5 feet, the length = 2'7" = 2.583 feet
Volume of extra ledge = length × width × height = 2.583 × 2.5 × 7.667 = 49.5 feet³
For the truck, the height = 7'8" = 7.667 feet, the length = 14'3" = 14.25 feet, the width = 6'6" = 6.5 feet
Volume of truck = length × width × height = 14.25 × 6.5 × 7.667 = 710.16 feet³
The maximum volume = volume of extra ledge + volume of truck = 49.5 + 710.16 = 759.66 feet³
Find the perimeter of this figure. (Image down below)
Answer:
The answer is
44 ftStep-by-step explanation:
The figure above is a rectangle
To find the perimeter of a rectangle we use the formula
Perimeter of a rectangle = 2l + 2w
where
l is the length of the rectangle
w is the width of the rectangle
From the question
length = 14 ft
width = 8ft
Substituting the values into the above formula we have
Perimeter = 2(14) + 2(8)
= 28 + 16
We have the final answer as
Perimeter = 44 ftHope this helps you
If paul puts 300 dollars in a saving account that earns 3% interest how much interest will he earn after 2 years?
Answer:
[tex] \boxed{18 \: dollars}[/tex]Step-by-step explanation:
Principal ( P ) = $ 300
Rate ( R ) = 3%
Time ( T ) = 2 years
Now, let's find the simple Interest:
I = [tex] \mathsf {\frac{PTR}{100} }[/tex]
[tex] \mathsf{ = \frac{300 \times 2 \times 3}{100} }[/tex]
[tex] \mathsf{ = \frac{1800}{100} }[/tex]
[tex] \mathsf{ = 18}[/tex]
Extra information:
Simple Interest
In our daily life when we borrow a sum of money either from a moneylender or from any financial company, we have to pay the money back by adding with extra sum of money. This borrowed money is called principal. The extra money to be paid for the borrowing money is called interest , which is paid after certain duration in certain rate. At last, the borrowed money should be paid back along with interest which is called amount.
Interest is based on three factors : Principal ( P ) , Rate of interest ( R ) and Time ( T ). While computing the interest, the rate must be in percent and time in years.
[tex] \mathsf{ \: simple \: interest \: = \frac{PTR}{100} }[/tex]
On simplifying
[tex] \mathsf{p = \frac{I \times 100}{T \times R} }[/tex]
[tex] \mathsf{t = \frac{I \times 100}{P \times R} }[/tex]
[tex] \mathsf{r = \frac{I \times 100}{P \times T}} [/tex]
And from the definition,
Amount ( A ) = Principal ( P ) + Interest ( I )
Principal ( P ) = Amount ( A ) - Interest ( I )
Interest ( I ) = Amount ( A ) - Principal ( P )
Hope I helped!
Best regards!
Answer:$18
Step-by-step explanation:3% of $300 is $9.$9 is the interest of 1 year so the interest of 2 years is 2 multiplied by 9 which is $18.
21. Find the distance between the points. Leave your answer
as a simplified square root
(-8,5), (-1.1)?
PLEASE answer as fast as you can. thanks
Answer:
The answer is
[tex] \sqrt{65} \: \: \: units[/tex]
Step-by-step explanation:
To find the distance between two points we use the formula
[tex] \sqrt{ ({x1 - x2})^{2} + ( {y1 - y2})^{2} } [/tex]
where
( x1 , y1) and ( x2 , y2) are the points
From the question the points were
(-8,5), (-1.1)
Substitute the values into the above formula
That's
[tex] \sqrt{ ({ - 8 + 1})^{2} + ({5 - 1})^{2} } [/tex]
[tex] \sqrt{ ({ - 7})^{2} + {4}^{2} } [/tex]
[tex] \sqrt{49 + 16} [/tex]
We have the final answer as
[tex] \sqrt{65} \: \: units[/tex]
Hope this helps you
Please please please please help
Answer:
m = 9
Step-by-step explanation:
8/12 = 6/m
8m = 72
m = 9
Camille had $275 in her checking account . she deposited $812 and wrote checks $75, $60, and $48. how much did she have in the account after all these transactions?
Which of these relations are functions?
х
O
-2 6 2 -6
-5 21 15-15
y
11
y
4
2
O
x
4
-2
4
o
{(-5,-7), (-2,-7), (7,17), (-5,21)}
y
For each value of y, the number of value of x must be one. Then the correct options is D.
The complete question is attached below.
What is relation function?The relation function is given as, for every independent value, there is a dependent value.
Let the function be y = f(x).
For each value of x, the number of value of y may one or two.
But for each value of y, the number of value of x must be one.
Then the correct options is D.
More about the relation function link is given below.
https://brainly.com/question/2253924
#SPJ1
Simplify the following: a) [ -6 +22 – 6 + 8 ] ÷ ( -9 ) b) 400 ÷ { 40 – (-2) -3 – ( -1)} c) 40 x -23 + 40 x -17 d) 1673 x 99 – (-1673) e) 490 x 98
Step-by-step explanation:
a) [ -6 +22 – 6 + 8 ] ÷ ( -9 )[ -6 +22 – 6 + 8 ] = 18
18 ÷ (-9) = -2
b) 400 ÷ { 40 – (-2) -3 – ( -1)}{40 – (-2) -3 – ( -1)} = { 40 + 2 -3 + 1} = 40
400 ÷ 40 = 10
c) 40 x -23 + 40 x -17(40 x 23) + (40 x -17)
920 + (-680)
= 240
d) 1673 x 99 – (-1673)(1673 x 99) + 1673
1673 x 100
= 167300
e) 490 x 98 = 48020Hope this helps ^-^
last one hopefullly hahah
you are correct. all angles (except central) are not equal (iff TU and CB are not parallel)
the triangles are not similar
Answer:
it's A
They don't give you enough information to determine if they are similar or not
2 pts Question 1 Write an expression to model the phrase: Myles has $635 and is earning $120 each week as a lifeguard. (Use x as your variable) 2 pts Wuestion 2
Answer:
The equation is y= 120x+ 635Step-by-step explanation:
Hey there!!!,
in this problem we are expected to present an equation for the given scenario, and a way out is to model it after the equation of line
i.e y= mx+c
From the problem statement we can see that the constant amount Myles have is $635, and also earnings of $120 weekly.
Comparing the statement withe equation of line we have
y= 120x+ 635
as "x" is the number of weeks worked and $635 is the constant amount at hand.
Should you need further clarification on this, let me know
54. Mrs. Jackson bought 7 dozen eggs for an egg-tossing contest. If each of the 26 teams
is given the same number of eggs, how many eggs does each team get?
Answer:
Each team will get 3 eggs
Step-by-step explanation:
First determine the number of eggs
7 * 12 = 84 eggs
Then divide by the number of teams
84/26 =3 with 6 left over
Each team will get 3 eggs
A certain mixture of paint contains 5 parts white paint for every 4 parts blue paint. If a can of paint contains 75 ounces of white paint, how many ounces of blue paint are in the can?
Answer:
60 ounces.
Step-by-step explanation:
Given:
A mixture contains 5 parts of white paint for every 4 parts of blue paint.
i.e. Ratio of white paint : blue paint = 5 : 4
Quantity of White paint = 75 ounces
To find:
How many ounces of blue paint = ?
Solution:
Here, we are given the ratio of white and blue paint in the mixture.
Also, we are given the quantity of white paint in the paint can.
And we have to find the quantity of other paint in the can.
Let us use all the given statements to find the unknown quantity of blue paint.
Ratio of white paint : blue paint= Ratio of quantity of white paint: blue paint
[tex]\dfrac{5}{4} = \dfrac{75}{\text{Quantity of blue paint}}\\\Rightarrow \text{Quantity of blue paint} = 15 \times 4\\\Rightarrow \text{Quantity of blue paint} = 60\ ounces[/tex]
So, the quantity of blue paint in the can is 60 ounces.
solve for x 4(x+2)=48
Answer: 10
Step-by-step explanation:
4(x+2)=48
4x+8=48
4x=40
x=10
Answer:
x=10
Step-by-step explanation:
4(x+2)=48
Divide each side by 4
4/4(x+2)=48/4
x+2 = 12
Subtract 2 from each side
x+2-2= 12-2
x = 10
PLEASE help me with this question! No nonsense answers please. This is really urgent.
Answer:
32
Step-by-step explanation:
This is because you would want the feet and the radium kinda meeting up in a way and would need to make sure you can fill it in with th e drive way as it will be on a horizontal base so you would need X2 of the driveway to make it into a standing up horizontal base
Hope this helps
If this seems incorrect please comment with the answer that it should be and I shall change my answer thanks you :)
Divide a 7-inch line into three parts so that each part is 1 inch longer than one before it.
Answer:
Hey there!
We can write an equation:
x+x+1+x+2=7
3x+3=7
3x+4
x=4/3
The lines are 4/3, 7/3, and 10/3.
Let me know if this helps :)
Which is 5.348 closer to, 5.3 or 5.4?
Answer:
5.3
Step-by-step explanation:
It is less than halfway
Answer:
5.3
Step-by-step explanation:
(-3)+(-5)
What are the signs and places
Un cultivo de bacterias crece y se duplica cada dos horas .¿Cu`antas veces mas grande sera el numero de bacterias en 12 horas?El numero inicial es X. Expresa usando potencias ayuda profis es para hoy ; )
Responder:
64 visitas
Explicación paso a paso:
Dado lo siguiente:
Número inicial de bacterias = x
Tasa de crecimiento = se duplica cada dos horas
¿Cuántas veces mayor será la cantidad de bacterias en 12 horas?
La cantidad de veces (n) en las que la cantidad de bacterias se duplica:
n = 12 horas / período de tasa de crecimiento
n = 12/2 = 6
Eso significa que el crecimiento de bacterias se duplicará 6 veces en 12 horas.
Por lo tanto, la cantidad de bacterias después de 12 horas será:
Después del 1er período = x * 2 = 2x
2do período = 2 ^ 2 * x = 4x
Después de n período
= 2 ^ n * x
Después de 6 períodos:
2 ^ 6 * x = 64x
Número de veces que las bacterias serán mayores en 12 horas:
Inicial = final
x = 64x
Comparando ambos
Las bacterias serán 64 veces más grandes después de 12 horas.
