Answer:
(mn+3m)(n+p)
Step-by-step explanation:
Answer:
(mn + 3m)(n + p)
Step-by-step explanation:
Factorize by grouping:
[tex]mn^2+mnp\\mn(n+p)\\\\3mn+3mp\\3m(n+p)\\\\(mn+3m)(n+p)[/tex]
1. The position of a particle moving along a coordinate axis is given by: s(t) = t^2 - 5t + 1. a) Find the speed of the particle b) Find the acceleration of the particle c) Find the velocity of the particle
Answer: [tex]\left | 2t-5\right |,\ 2,\ 2t-5[/tex]
Step-by-step explanation:
Given
Position of the particle moving along the coordinate axis is given by
[tex]s(t)=t^2-5t+1[/tex]
Speed of the particle is given by
[tex]\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=\left | 2t-5\right |[/tex]
Acceleration of the particle is
[tex]\Rightarrow a=\dfrac{dv}{dt}\\\\\Rightarrow a=2[/tex]
velocity can be negative, but speed cannot
[tex]\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=2t-5[/tex]
Write 128 as a product of its prime factors
Answer:
The prime factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2.
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Find the area of the shaded region.
Answer:
pi × 18cm^2
Or approximately,
56.52cm^2 (using 3.14 for pi)
or
56.5487cm^2 (using pi button on calculator)
Step-by-step explanation:
Area of a circle is pi times [radius squared].
All circles are 360°.
Problem can be solved by finding area of whole circle, and then using ratios.
Whole Circle: area = pi × (9cm)^2 = pi × 81cm^2
80° / 360° = Area[shaded] / (pi × 81cm^2)
pi × 18cm^2 = Area[shaded]
((If you read my answer before the edit, I am sorry. I made a calculator error.))
REALICE LOS SIGUIENTES PROBLEMAS DE ECUACIÓN DE LA RECTA CORRECTAMENTe
1.- Encuentre la ecuación vectorial de la recta si tenemos A(4, -2) y el vector V=(2, 5) paralelo a la recta y que pasa por A
2.- Encuentre la ecuación general de una recta conociendo un punto P(-2 ; 4) y su pendiente m= - 5 y grafique la recta.
Answer:
1. La ecuación vectorial de la línea es [tex]\begin{bmatrix} & x & \\ & y & \end{bmatrix} =\begin{bmatrix} & 4 & \\ & -2 & \end{bmatrix} + t \times \begin{bmatrix} & 2 & \\ & 5 & \end{bmatrix}[/tex]
2. La ecuación de la recta es, y = -5·x - 6
Step-by-step explanation:
1. El punto dado en la línea es A (4, -2), el vector paralelo a la línea es (2, 5)
Por tanto, la ecuación vectorial de la línea es;
[tex]\begin{bmatrix} & x & \\ & y & \end{bmatrix} =\begin{bmatrix} & 4 & \\ & -2 & \end{bmatrix} + t \times \begin{bmatrix} & 2 & \\ & 5 & \end{bmatrix}[/tex]
Donde;
t = Cualquier número
2. El punto por el que pasa la recta es P (-2; 4)
La pendiente de la recta, m = -5
Por lo tanto, la ecuación de la línea en forma de punto y pendiente se presenta de la siguiente manera;
y - 4 = (-5) · (x - (-2)) = -5 · x - 10
∴ y - 4 = -5 · x - 10 + 4 = -5 · x - 6
La ecuación de la recta es, y = -5·x - 6
1. Three products from renewable resources are
Answer:
biomass energy (such as ethanol), hydropower, geothermal power, wind energy, and solar energy.
2. If you move 50 meters in 10 seconds, what is your speed?
Answer:
5 meters per second
Step-by-step explanation:
Find your speed by dividing the number of meters traveled by the number of seconds it took:
50/10
= 5
Your speed is 5 meters per second.
Answer:
5 m/sec
Step-by-step explanation:
The speed would be calculated as follows, as a unit rate:
50 m
----------- = 5 m/sec
10 sec
What is 4,327 rounded to the nearest thousand?
Answer: 4,000
Step-by-step explanation: To round 4,327 to the nearest thousand, we first find the digit in the rounding place, which in this case is the 4 in the thousands place. Next, we look at the digit to the right of the 4, which is 3.
According to the rules of rounding, since the digit to
the right of the rounding place is less than 5, we round down.
So the 4 in the rounding place stays the same
and all digits to the right of the 4 become 0.
So 4,327 rounded to the nearest thousand is 4,000.
Gabriella has a smart phone data plan that costs $25 per month that includes 10 GB of data, but will charge an extra $15 per GB over the included amount. How much would Gabriella have to pay in a month where she used 5 GB over the limit? How much would Gabriella have to pay in a month where she used went over by x x GB?
HELPPP PLZZZZ DUE SOONnnn
Answer:
x = 7, EF = 10, FG = 12
Step-by-step explanation:
EF = 4x - 18
FG = 3x - 9
EG = 22
EG = 22
EF + FG = 22
4x - 18 + 3x - 9 = 22
4x + 3x - 18 - 9 = 22
7x = 22 + 18 + 9
7x = 49
x = 7
EF = 4x - 18
EF = 4*7 - 18
EF = 28 - 18
EF = 10
FG = 3x - 9
FG = 3*7 - 9
FG = 21 - 9
FG = 12
3. If bº = 110°, what is the value of gº?
Answer:
hello mate <3
u see here its a quadrialteral
with 4 angles b , d , 70 , g
so b + d + 70 + g = 360
now u see 60 + d = 180 (straight line)
d = 120 and b = 110 ( given)
so
110 + 120 + 70 + g = 360
g + 300 = 360
g = 360 - 300 = 60 degrees option c
brainliest?
If ram have 30 apple& each apple rs is 26 . 14 are rotten .he had eat 9 apple. 6 apple he sold each price 35 . Now say me ram have got profit or loss.
Answer:
Profit
Step-by-step explanation:
30*26
14*26
9*14
6*26*30
Someone help plsssss
I need help ASAP!! Please explain how to solve the problem
Answer:
B=.5*8*6=.5*48=24
h = 8
P=10+6+8=24
Surface area =2*24+24*8=48+192=240
Step-by-step explanation:
The base is a triangle, and the area of a triangle is 1/2 base (or width) times height (or length). In this case, base is 8 and height is 6, so the area can be found either by multiplying .5*8*6 or by dividing 8*6 by 2, either of which will give you the same answer of B=24.
Height is given, h=8.
Perimeter is simply the sum of the sides, which are given, so the perimeter is 8+6+10=24.
The formula for surface area is given, so all you need to do is plug in your previous answers and you've got it!
An investor has an account with stock from two different companies. Last year, his
stock in Company A was worth $6600 and his stock in Company B was worth $3500.
The stock in Company A has increased 7% since last year and the stock in Company B
has increased 1%. What was the total percentage increase in the investor's stock
account? Round your answer to the nearest tenth (if necessary).
Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589. You must show all of your work to receive credit.
PLSSS SHOW WORK <3
Answer:
x = 18
Step-by-step explanation:
First, let's find the ratios between the two triangles
We'll use AV and AC
372 ÷ 589 = 12/19
All of the sides of the smaller triangle are 12/19 of the bigger triangle
Now let's find x
We know that AU + UB = AB
So it's 20x + 108 + 273 = AB
12/19 of a bigger triangle side equals a small triangle side
(12/19)AB = AU
For this equation multiply both sides by 19/12 to isolate AB
(12/19)AB x 19/12 = AU x 19/12
AB = (19/12)AU
Now we have this
20x + 108 + 273 = (19/12)(20x + 108)
20x + 381 = (19/12)(20x + 108)
Distribute the 19/12
20x + 381 = 95/3x + 171
Move all like terms to one side
20x + 381 = 95/3x + 171
- 171 - 171
20x + 210 = 95/3x
- 20x - 20x
Don't forget about common denominators
210 = 95/3x - 60/3x
210 = 35/3x
Multiply both sides by 3
210 x 3 = 35/3x x 3
630 = 35x
Divide both sides by 35
630/35 = 35x/35
x = 18
Answer:
Step-by-step explanation:
[tex]\frac{20x+108}{20x+381}[/tex] = [tex]\frac{372}{589}[/tex]
589( 20x + 108 ) = 372( 20x + 381 )
11780x + 63612 = 7440x + 141732
4340x = 78120
x = 18
An angle measures 2 more than the measure of its complementary angle
Answer:
let x be the complementary angle
then x + 2 is the angle
x+2 +x =90
2x = 88
x = 44°
x + 2° = 46°
how many metres of wire is needed to fence a circular pond of radius 7.7m if the fence is to have three strands of wire all the way around .Give your answer correct to one decimal place. (Take pi is 3.14)
Find the circumference of the pond:
Circumference = 2 x pi x radius
Circumference = 2 x 3.14 x 7.7 = 48.356 m
You want to go around 3 times so multiply the circumference by 3:
48.356 x 3 = 145.068m
Rounded to 1 decimal = 145.1m
Someone please explain this to me like you would a child
thank you
Answer:
12 degrees
Step-by-step explanation:
Answer:
15 degrees
Step-by-step explanation:
okay haha
so basically the cosine of an angle is the side adjacent to it, divided by the hypotenuse. the sine is the side opposite to that angle divided by the hypotenuse, and the tangent is the side opposite to that angle divided by the side adjacent to it.
in this case we are given the angle and the side opposite to it which is 10, and we are also given the hypotenuse of 39.
what trig function deals with opposite and hypotenuse?
the answer is sine
so we would find the sine of that angle which equals to opposite over hypotenuse:
sin(angle) = 10/39
but, they are asking for the inverse trig function. the inverse of sine is arcsin.
so :
arcsin(10/39) = angle
in a calculator, this would be equal to about 14.857 which is closest to 15.
100÷50000 it's has to be step by step aka show work
100÷50000 can be written as 100/50000, then cancel out 2 of the zeroes, and you will get 1/500 or 0.002 as your final answer.
Use a table of function values to approximate an x-value in which the exponential function exceeds the polynomial
function.
f(x) = 2^(5x-6)
h(x) = 3x^5 - 2x^3 - 4x + 7
x=4
x=7
x = 6
x=5
Answer: ¿Hablas español porque no entiendo esto? Si lo haces, ¿puedes decirme en español?
Step-by-step explanation:
Refer to picture
Need help on Q.8
Answer:
Rajan = 436.36 rupees and Kamal = 363.63 rupees
Step-by-step explanation:
Total ratio = 11/30
Amount to be shared = 800
Rajan = Individual ratio / Total ratio x the total amount to be shared
1/5 ÷11/30 × 800 = 436.36
Kamal = 1/6 ÷ 11/30 × 800 = 363.63
 A study found that healthy eating can help to cut the risk of heart disease. Therefore, a person can conclude that if they eat healthy they definitely will not have any heart issues.
True or false?
Answer:
False
Step-by-step explanation:
It only cuts the risk as stated and other factors such as lifestyle, age, bloodpressure and past medical background also have an impact so you can still have heart issues.
If x is 2/3 of y and y is 3/4 of z, what is the ratio of:x? *
a) 1:2
b) 1:1
c) 2:1
d) 3:2
e) 4:3
Answer:
Answer is option C
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Determine el radio vector del punto medio del segmento que se forma al unir los puntos (-8, 7) y (6, 3).
Es para hoy
Answer:
The radius vector is (-8, 7) and (-1 , 5).
Step-by-step explanation:
Determine the radius vector of the midpoint of the segment that is formed by joining the points (-8, 7) and (6, 3).
The end points are (- 8, 7) and (6, 3) .
The mid point is given by
[tex]x = \frac{x' + x''}{2}\\\\y = \frac{y' +y''}{2}\\\\x =\frac{- 8 + 6}{2}=-1\\\\y = \frac{7+3}{2} = 5[/tex]
So, the radius vector is (-8, 7) and (-1 , 5).
so i need help with this pls i suck at algebra
Answer:
The 5x^2 vs -5x^2 will reflect over "X" axis
the +1 vs -2 will shift the graph down three units
the first answer is the correct answer
Step-by-step explanation:
what is the answer for 7 to the negitive second power.
Answer:
the negative just tell you you put a one over the number. Once that's done, the power will be positive, and you can square like normal
Are you asking about [tex]7^{-2}[/tex] ?
If so:
A negative in the exponent tells us that we must take the reciprocal of the number, in this case, 7, and then use the exponent like normal:
[tex]7^{-2}[/tex] =
[tex](\frac{1}{7})^{2}[/tex] =
[tex]\frac{1}{49}[/tex],
So our answer is 1/49.
the table of values below represents a liner function and show the amount of money in the savings account since she began her part-time job what is her monthly rate of savings
Answer:
she saves $24 dollars every month. 36 + 24 =60 +24 =84 +24 =108 +24 =132 :)
Will give brainliest to correct answer
Answer:
30 lamps
Step-by-step explanation:
30*2= 60
Have fun all !!! This is my trash account. You all can have my points.
Answer:
Step-by-step explanation:
OK
Answer:
rshjgdlf
FGshjfgsfds
Step-by-step explanation:
GIMME'
What is the slope of a trend line that passes through the points (1, 3) and (10, 25)?
Negative StartFraction 15 Over 2 EndFraction
Negative one-half
StartFraction 22 Over 9 EndFraction
StartFraction 24 Over 7 EndFraction
Answer:
[tex]\displaystyle m = \frac{22}{9}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (1, 3)
Point (10, 25)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{25 - 3}{10 - 1}[/tex]Subtract: [tex]\displaystyle m = \frac{22}{9}[/tex]Answer:
c
Step-by-step explanation: