Answer:
Step-by-step explanation:
6m^5-2m^3-m^3-4m+4m+3-6
7m^5-3m^3-3
Answer:
[tex]7m^5-3m^3-3[/tex]
Step-by-step explanation:
[tex](6m^5+3-m^3-4m)-(-m^5+2m^3-4m+6)= \\\\(6m^5+m^5)+(-m^3-2m^3)+(-4m+4m)+3-6= \\\\7m^5-3m^3-3[/tex]
Hope this helps!
CORRECT AND CLEAR ANSWER WILL BE GIVEN BRAINLIEST An object of mass 0.30 kg is thrown vertically upwards and reaches a height of 8.0 m. Calculate: (a) it's final potential energy (b) The velocity with which it must be thrown, neglecting air resistance ( assuming g = 10m/s²)
Answer:
Final potential energy = 24 Joule
The velocity with which object must be thrown = [tex]4 \sqrt{10}[/tex] m/s
Step-by-step explanation:
Given:
Mass of object, m = 0.30 Kg
Height of object, h = 8 m
Acceleration due to gravity, g = 10 [tex]ms^{-2}[/tex]
a) Formula for Potential Energy:
[tex]E_p =mgh[/tex]
Where m is the mass of object
g is acceleration due to gravity and
h is the height of object
Putting the values of m, g and h
[tex]E_p = 0.3 \times 10 \times 8\\\Rightarrow E_p =24 J[/tex]
b) Formula for initial and final velocity:
[tex]v^{2} =u^{2} +2gh[/tex]
where v is the final velocity
u is the initial velocity with which the object is thrown
g is acceleration due to gravity and
h is the height obtained by object
here v = 0 at the height 8 m because it will come to rest at the point it attains the maximum height.
h = 8m
g = -10 [tex]ms^{-2}[/tex] (negative because the object's velocity is decreasing)
Putting the values to find 'u':
[tex]0^{2} =u^{2} +2 \times -10 \times 8\\\Rightarrow u^{2} = 160\\\Rightarrow u = 4 \sqrt{10}\ m/s[/tex]
what is 15 minutes to 1 hour
Answer:
1:4 or 25% or 1/4
Step-by-step explanation
There are 60 minutes in an hour and 60 divided by 15 is four. So basically, 15 minutes is 1/4 of an hour, 25% of an hour, and 1:4 of an hour.
R (x) = 3x + 17/ -6x^2 + 39x
Answer:
[tex]\frac{3x+17}{-3x(2x-13)}[/tex]
unless there is more to the question
Step-by-step explanation:
You can't do anything to the top so work with the bottom.
since both terms have an x and are divisible by 3 take out a GCF of -3x
The bottom should be: -3x(2x-13)
You can't simplify any further.
Jonah earned $5 more than half of Karen's salary, k. Which of the following expressions represents Jonah's earnings?
Answer:
J = 0.5k + 5
Step-by-step explanation:
At a state park, the rangers' office knows the current population of deer in the park is 482 animals and predicts the population will increase by 5% per year for the foreseeable future. The park's acreage can currently sustain a population of 645 deer, and the rangers estimate that number will increase over the next t years by 20t - t2. Which system of equations can be solved to find the number of years from now, t, when the population of deer will exceed the number sustainable by the park's acreage?
Answer:
In six years the population will exceed 645 deers
Nick simplified this expression. Is his answer correct?
O No Nick multiplied before dividing
O No. Nick should have converted to all decimals first.
O No. The first step should be division
O Yes. Nick did not make a mistake
Answer:
is A
Step-by-step explanation:
No. Nick multiplied before dividing
Answer:
the answer is nick multiplied before dividing.
Step-by-step explanation:
Simplify the expression below. (–7x + 4) – (2x – 8)
Answer:
- 9x + 12
Step-by-step explanation:
Given
(- 7x + 4) - (2x - 8) ← distribute parenthesis by 1 and - 1
= - 7x + 4 - 2x + 8 ← collect like terms
= - 9x + 12
Marl borrowed $200 at 12% simple interest for one year. If he makes no payments that year, how much interest will he owe at the end of the year?
Step-by-step explanation:
Simple interest means that it's not added. You would need to multiply 200 and .12, yielding 24. That's the interest. The total he owes is 224, please mark as brainliest
solve for x
possibly answer
12
-7
5
-6
Answer:
12 is the answer. cause 5×12 is 60 and the missing angle is 60 degrees
The line AB had midpoint (2, 5).
A has coordinates (1, 2).
Find the coordinates of B.
Answer:
The line AB, with A(Ax, Ay), B(Bx, By) and midpoint M(Mx, My) satisfying:
Ax + Bx = 2Mx
Ay + By = 2My
=>
2 + Bx = 2*1
5 + By = 2*2
=> Bx = 0
=> By = -1
=> B(0, -1)
Hope this helps!
:)
Answer:
B(3, 8 )
Step-by-step explanation:
Using the midpoint formula
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then midpoint is
[ [tex]\frac{1}{2}[/tex](x₁ + x₂ ), [tex]\frac{1}{2}[/tex](y₁ + y₂ ) ]
let the coordinates of B = (x, y ), then
[tex]\frac{1}{2}[/tex](1 + x) = 2 ( multiply both sides by 2 )
1 + x = 4 ( subtract 1 from both sides )
x = 3
and
[tex]\frac{1}{2}[/tex] (2 + y) = 5 ( multiply both sides by 2 )
2 + y = 10 ( subtract 2 from both sides )
y = 8
Thus
coordinates of B = (3, 8 )
Point A is the incenter of ΔDEF. Point A is the incenter of triangle D E F. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z. Angle L D A is 27 degrees. Angle A D M is (3 n minus 6) degrees. What is the value of n? 7 11 14 15
Answer:
The correct option is;
11
Step-by-step explanation:
The incenter is the point where the interior angle bisectors of the triangle meet, hence the interior angles are each bisected into two by the segments DA, EA, and FA respectively
Given that point A is the incenter of ΔDEF, we have;
∠FDE = ∠XDY is bisected by DA which gives ∠XDA = ∠YDA
∠LDA = ∠XDA = 27
∠MDA = ∠YDA = 3··n - 6
Therefore, 27 = 3·n - 6
3·n = 27 + 6 = 33
n = 33/3 = 11°
Answer:
11
Step-by-step explanation:
edge2020
How many points does a plane have that is on the same line
I don't understand this math problem need help plz!
Answer:
A' (-4, - 7), B' (-5, -4), C' (-4, -3), D' (-3, -4)
Step-by-step explanation:
When rotating about the origin at an angle of 90° in the counterclockwise direction, the given values of (x, y) are interchanged with y also taking a negative sign. That is ;
(x, y) - - - -> (-y, x)
Therefore, in the question above ;
Translation = (x-2, y+3)
A =(-5, 1) = (-5 - 2, 1 + 3) = (-7, 4) - - -> A' = (-4, - 7)
B =(-2, 2) = (-2 - 2, 2 + 3) =(-4, 5) - - -> B' = (-5, -4)
C =(-1, 1) = (-1 - 2, 1 + 3) = (-3, 4) - - -> C' = (-4, -3)
D =(-2, 0) = (-2 - 2, 0+3) =(-4, 3) - - -> D' = (-3, -4)
In December, Sara's Sodas produced 4.0 million liters of the beverage. Manufacturing overhead was $1,435,000 and the cost per liter was $0.47. Labor costs were 25 percent of materials cost. Required: a. Calculate the materials cost for December.
Answer:
The material cost for December = $356,000
Step-by-step explanation:
The manufacturing overhead is the sum of the indirect costs that come from the manufacturing process except labor and materials
Hence, whereby the cost per liter = $0.47, we have;
Total volume produced = 4.0 million liters
Manufacturing overhead = $1,435,000
Total cost = Cost per liter × Total volume produced
∴ Total cost = 4 × 10⁶ × $0.47 = $1,880,000
Hence the cost of labor + materials = Total cost - Manufacturing overhead
the cost of labor + materials = $1,880,000 - $1,435,000 = $445,000
Labor cost = 25% material cost = 0.25 × material cost
∴ 0.25 × material cost + material cost = $445,000
1.25 × material cost = $445,000
material cost = $445,000/1.25 = $356,000
Which gives labor cost = 0.25 × $356,000 = $89,000
The material cost for December = $356,000.
please answer asap for brainliest
Answer:
5/8
Step-by-step explanation:
count the squares between one point to the other
Answer:
slope= 7/4
Step-by-step explanation:
It is better to find a couple of line points on the plane whose coordinates are easy to read. two such points are: (-1,-3) and (3, 4) (see attached image).
Then use the slope formula with them:
[tex]slope=\frac{y_2-y_1}{x_2-x_1} =\frac{4-(-3)}{3-(-1)} =\frac{7}{4}[/tex]
Find the term to term rules for the following sequences:
2, 6, 18, 54, 162
Step-by-step explanation:
U=ar^(n-1)
r=6/2=3
a=2
U=2(3)^n-1=6^n-1
Calculate the surface area of each polyhedron. Pls!! Show work
Answer:
384 m^2
Step-by-step explanation:
Surface area of cube = area of 1 side x 6
area of 1 side, in this case = 64 m^2
so, total surface area = 64 x 6 = 384 m^2
4
3
5
6
Jacob rolls two fair number cubes. Find the probability that the sum of
the numbers he rolls is 8.
A Use the table to find the sample space for
1 2.
rolling a particular sum on two number cubes.
Each cell is the sum of the first number in that
1
row and column.
2
3
B
How many possible outcomes are in the
sample space?
4
5
с
6
Circle the outcomes that give the sum of 8.
D How many ways are there to roll
a sum of 8?
What is the probability of rolling a sum of 8?.
TRY THIS!
Find the probability of each event.
1a. Rolling a sum less than 5.
1b. Rolling a sum of 7 or a sum of 9.
REFLECT
1c. Give an example of an event that is more likely than rolling a sum of 8.
1d. Give an example of an event that is less likely than rolling a sum of 8.
What is the standard form of this function?
f(x) = (x − 2)2 + 6
A. f(x) = -x2 − 8x + 10
B. f(x) = -x2 − 6x + 10
C. f(x) = x2 − 8x + 10
D. f(x) = x2 − 4x + 10
Answer:
D
Step-by-step explanation:
To find the standard function, open the bracket
f(x) = (x-2)^2 + 6
(x-2)^2 becomes
x(x-2) -2(x-2)
= x^2 -2x -2x + 4
= x^2 -4x + 4
Now add 6 and it becomes x^2 -4x + 4 + 6
= x^2 -4x + 10
Choco pies are cookies made from chocolate (c), sugar (s), and flour (. Chocolate costs $5 per pound, sugar costs
$3 per pound, and flour costs $2 per pound. You spend $50 on 18 pounds of food and buy twice as much flour as
sugar
Calvin wants to invest $12,000 in deposits. For tax purposes, he wants his total interest to be $600. He wants to put
$1000 more in a 2-year deposit than in a l-year deposit and invest the rest in a 3-year deposit. How much money
should he invest in each deposit?
Number of Years
Rate
2.0%
5.09
6.0%
1-year: $2200, 2-year: $3200, 3-year: $6600
1-year: $4000, 2-year: S5000, 3-year: $3000
1-year: S3200, 2-year: $4200, 3-year: $4600
1-year: $1000, 2-year: S2000, 3-year: $9000
Question :
justinapace7446
Yesterday
Mathematics
High School
+5 pts
Choco pies are cookies made from chocolate (c), sugar (s), and flour (. Chocolate costs $5 per pound, sugar costs
$3 per pound, and flour costs $2 per pound. You spend $50 on 18 pounds of food and buy twice as much flour as
sugar
Calvin wants to invest $12,000 in deposits. For tax purposes, he wants his total interest to be $600. He wants to put
$1000 more in a 2-year deposit than in a l-year deposit and invest the rest in a 3-year deposit. How much money
should he invest in each deposit?
Number of Years
Rate
2.0%
5.0%
6.0%
Answer:
1-year: $2200, 2-year: $3200, 3-year: $6600
Step-by-step explanation:
Assume y = Amount invested for 1 year.
y + 1000 = investment amount for 2 years
12000 - (y + y + 1000 ) = amount invested for 3 years
11000 - 2y = amount invested for 3 years
Total interest
Multiplying each by its corresponding rate
(0.02 × y) + (0.05 × (y+1000)) + (0.06 × (11000-2y)) = 600
0.02y + 0.05y + 50 + 660 - 0.12y = 600
-0.05y + 710 = 600
-0.05y = 600 - 710
-0.05y = - 110
y = 2200
Therefore first year = y = $2200
Investment for 2 years =y + 1000 = 2200 + 1000 = $3200
Investment for 3 years = 11000 - 2y = (11000 - (2*2200)) = (11000 - 4400) = $6600
How many fourths are in 2?
Answer:
2 wholes with 4 fourths in each whole, so there are 2\times 4 fourths in 2.
Step-by-step explanation:
A rope weighs 600 grams per meter of length.What is the weight in kilograms of 12.2 meters of this rope?
I will mark you brainliest!!
Answer:
C: .94
Step-by-step explanation:
7e^x=18
x=ln(18/7)
x=ln(2.5714)
x=.94
I know this is a SUPER easy question, i’m just dumb. Question in photo.
Answer:
Quadrant III (Answer C)
Step-by-step explanation:
(4, 7) is in Quadrant I. Rotating it 180 degrees around the origin places it in Quadrant III (Answer C).
Answer:
Quadrant 3 (Answer C)
The cost to.Purchase a tank.Of gasoline varies directly with the.Number of gallons purchased. You notice that the person in front of you spent $40.50 on 15 gals of gas. If your truck needs 26 gals of gas how much will you spend
Answer:
$70.20
Step-by-step explanation:
We need to first find the cost per gallon of the gas.
The person in front bought 15 gals at $40.50. The price of each gallon will therefore be:
40.50 / 15 = $2.70
You need to buy 26 gallons. The cost will be:
26 * 2.70 = $70.20
You will spend $70.20.
A cylinder has a radius of 3 cm and height h cm. If the volume is 7211 cm^3.
what is the value of h?
Answer:
[tex]255.04[/tex] cm
Step-by-step explanation:
[tex]\pi r^{2} h[/tex]
[tex]\pi \times 3^2 \times h=7211[/tex]
[tex]\pi \times 9 \times h=7211[/tex]
[tex]h=7211 \div 9\pi[/tex]
[tex]h \approx 255.036954[/tex]
Answer:
h = 255.2 cm³
Step-by-step explanation:
V=πr²h
7211 = (3.14)(3)²h
h = 255.2 cm³
Solve for x. -7x= -8x+7
Answer:
x = 7
Step-by-step explanation:
-7x= -8x+7
Add 8x to each side
-7x+8x= -8x+8x+7
x = 7
Answer:
The value of [tex]x[/tex]:
[tex]x = 7[/tex]
Step-by-step explanation:
Solve for [tex]x[/tex]:
[tex]-7x = -8 x + 7[/tex]
Add both sides by [tex]8x[/tex]:
[tex]-7x + 8x = -8x + 8x + 7[/tex]
[tex]x = 7[/tex]
So, the final answer is [tex]x = 7[/tex] .
Prove that
(1 + cot A + tan A) (sin A - cos A) = sin A tan A - cot A cos A
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
tan A = [tex]\frac{sinA}{cosA}[/tex] , cot A = [tex]\frac{cosA}{sinA}[/tex]
Consider the left side
(1 + cotA + tanA)(sinA - cosA)
each term in the second factor is multiplied by each term in the first factor.
1(sinA - cosA) + cotA(sinA - cosA) + tanA(sinA - cosA)
= sinA - cosA + cosA - [tex]\frac{cos^2A}{sinA}[/tex] + [tex]\frac{sin^2A}{cosA}[/tex] - sinA ( collect like terms )
= [tex]\frac{sin^2A}{cosA}[/tex] - [tex]\frac{cos^2A}{sinA}[/tex]
= ( sinA × [tex]\frac{sinA}{cosA}[/tex] ) - ([tex]\frac{cosA}{sinA}[/tex] × cosA )
= sinAtanA - cotAcosA
= right side ⇒ proven
plz help!! i believe it's a but i'm not 100% sure
Answer:
its a
Step-by-step explanation:
What point is located 4 points from point M?
A. Point A
B. Point B
C. Point C
D. x-axis
E. y-axis
