Answer:
. .
Step-by-step explanation:
x^2-9x√x-12
solve by using formula (a+b)^2 and open the brackets
What is
f(x)=(x-2)(x-6) in standard form
Evaluate the expression when a=-6.
a^2 + 5a - 5
Answer:
61
Step-by-step explanation:
(6)^2+5(6)-5
=36+30-5
=61
Answer:
1
Step-by-step explanation:
[tex]( - 6) {}^{2} + 5 \times - 6 - 5 \\ 36 - 30 - 5 \\ 36 - 35 \\ = 1[/tex]
James is studying the decline of a certain bird species. James’ observations are as follows: Year 1900 1950 1990 2005 Population (in thousands) 6012 72 2 .5 What is the best fit exponential decay equation for this decline? 5=6012(1-0.06)105 At what year did the population first drop below 1,000,000? If this trend continues, what will be the population in 2020?
What is the expected number of tails when a fair coin is tossed 100 times?
Answer:
50 times
Step-by-step explanation:
Assuming a fair coin (probability of heads = 1/2), the expected number of heads (in the sense of mathematical expectations) is 100*1/2 = 50.
U is the centroid of ∆SRT. What is the length of segment UV if length of UT = 3 cm?
Answer:
1.5 cm
Step-by-step explanation:
Since U us the centroid, the ratio between UV and UT is 1:2, UT = 3
so UV = 3/2 = 1.5 cm
How is 1.35 x 10-5 written in standard notation?
A.
135.000
C.
0.00000135
Answer:
C.
Brainliest, please!
Step-by-step explanation:
A negative exponent means that the number is really small, which is true in this case.
Answer:
0.00000135
Step-by-step explanation:
1.35 x 10-5 means,
1.35/100000
=>0.00000135
Based on the graph of the trigonometric function,
what is the period?
Answer:
[tex]\displaystyle 4[/tex]
Explanation:
[tex]\displaystyle y = 3sin\:(\frac{\pi}{2}x + \frac{\pi}{2}) \\ y = 3cos\:\frac{\pi}{2}x[/tex]
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{4} \hookrightarrow \frac{2}{\frac{\pi}{2}}\pi[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{4} \hookrightarrow \frac{2}{\frac{\pi}{2}}\pi[/tex]
You will need the above information to help you interpret the graph. So, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-5, 0],[/tex] from there to [tex]\displaystyle [-1, 0],[/tex] they are obviously [tex]\displaystyle 4\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle 4.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 0,[/tex] in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
A boy is flying a kite from the terrace of his house. The kite is 175 m above the terrace. If the terrace is 80 m from the ground floor, findthe distance between the kite and the basement which is 8 m below the ground level.
175 m above the terrace + 80 m from terrace to ground + 8m from ground to basement:
175 + 80 + 8 = 263 meters
11. PLEASE HELP ME
A ball is thrown into the air with an upward velocity of 48 ft/s. Its height h in feet after t seconds is given by the function h= -16t2 + 48t + 6. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball’s maximum height?
A. 1.5 s; 42 ft
B. 1.5 s; 114 ft
C. 3 s; 6 ft
D. 1.5 s; 54 ft
Answer:
A. 1.5 s; 42 ft
Step-by-step explanation:
1.5 sec and will reach a height of 42 feet
that is the vertex
for y=ax^2+bx+c
the x value of teh vertex is
the y value is found by subsituting the x value of the vertex for x
so
h=-16t^2+48t+6
a=-16
b=48
c=6
x value of vertex is
subsituting it for x we get
it reaches the max height of 42ft at 1.5 seconds
Subtract these polynomials.
(3x^2 - 2x + 5) - (x^2 + 3) =
O A. 4x² - 2x + 2
OB. 4x^2 - 2x + 8
O C. 2x^2- 2x + 8
D. 2x^2- 2x + 2
PLEASE HELP! URGENT. the law of cosines is a2+b2-2abcosC=c2. Find the value of 2abccosC.
Answer:
D
Step-by-step explanation:
2ab*cos(C)=a^2+b^2-c^2
2ab*cos(C)=5^2+4^2-2^2=25+12=37
Answer:
The answer is 37
Step-by-step explanation:
if the cost of 2:dozen copies is Rs 720 , find the cost of 72 copies .
Answer:
Rs 2160
Step-by-step explanation:
1 dozen = 12 copies
2 dozen = 24 copies ( 2*12)
72÷12 = 6 dozen
72 copies = 6 dozen
1 dozen = Rs 720÷2
1 dozen Rs 360
6 dozen = 360*6
6 dozen = 72 copies = Rs 2160
A rectangular drawing is enlarged by 30%. The original dimensions of this drawing are 16cm x 24cm.
Determine the scale factor, as a fraction that represents this enlargement. What are the new, enlarged
dimensions?
Answer:
Step-by-step explanation: Scale [tex]\frac{130}{100} = \frac{13}{10}[/tex]
New dimensions [tex]16 * 1.3 --- 24*1.3 =20.8 cm * 31.2 cm[/tex]
Find an equation for the line with the given properties.
x-intercept = 2; y-intercept = -3. y =
Answer:
[tex]y=\displaystyle\frac{3}{2}x-3[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x=0)
We're given:
⇒ x-intercept = 2
⇒ y-intercept = -3
1) Determine the slope (m)
[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Given the x- and y-intercepts, we can rewrite them as points:
x-intercept = 2
⇒ (2,0)
y-intercept = -3
⇒ (0,-3)
Plug these points into the equation:
[tex]m=\displaystyle\frac{0-(-3)}{2-0}\\\\m=\displaystyle\frac{0+3}{2}\\\\m=\displaystyle\frac{3}{2}[/tex]
Therefore, the slope of the line is [tex]\displaystyle\frac{3}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\displaystyle\frac{3}{2}x+b[/tex]
2) Plug in the y-intercept (b)
[tex]y=\displaystyle\frac{3}{2}x+b[/tex]
We're given the y-intercept: -3. Plug this into [tex]y=\displaystyle\frac{3}{2}x+b[/tex]:
[tex]y=\displaystyle\frac{3}{2}x+(-3)\\\\y=\displaystyle\frac{3}{2}x-3[/tex]
I hope this helps!
Full working out for this question please.
On Monday Farmer Tom collected 6 times as many eggs as Farmer Jack. On Tuesday, Farmer Tom sold 425 eggs. Farmer Jack then had three times as many eggs as Farmer Tom. How many eggs did farmer Jack have?
a.150
b.175
c.125
d.25
e.75
Answer:
75
Step-by-step explanation:
Let farmar jack collected x eggs, then farmar Tom collect 6x eggs
farmar Tom sold 425 eggs, so he left with 6x-425 eggs, now farmar jack has 3 times of what farmar Tom has, so
3(6x-425)=x
or, x=75
so farmar jack had 75 eggs
Answered by GAUTHMATH
15 people are sharing $482 fairly between them. How many dollars should each person take?
solve for x *show work*
Answer:
x = 14
Step-by-step explanation:
The sum of the interior angles of a six sided figure is 720
10x + 8x-16+12x-8 +7x+2 +9x+4 +6x+10 = 720
Combine like terms
52x-8=720
Add 8 to each side
52x-8+8 = 720+8
52x = 728
Divide by 52
52x/52 = 728/52
x = 14
Step-by-step explanation:
here's the answer for thy question
What is the probability of getting ALL 2 red balls in a bag containing 24 balls?
Answer:
1 / 276
Step-by-step explanation:
The total Number of balls in the bag = 24
Number of red balls = 2
Assume the number of picks required = 2 and selection is performed without replacement ;
The probability of :
Choosing a red on first pick = (number of red balls / total number of balls) = 2 / 24
After first pick, red balls left = 1 ; total number of balls = 23
Choosing a red on second pick = (number of red balls / total number of balls = 1 / 23
Hence,
(2/24) * (1/23) = 2 / 552 = 1/276
please help me answer this math question, it is really important
Answer:
3 three point baskets
9 two point baskets
4 one point baskets
Step-by-step explanation:
Since you cannot have a 1/3 or 2/3 of a three point basket, finding multiples of threes for the initial two point baskets is the easiest way to start.
230% of 99 hours is what?
Answer:
227.7 hours
Step-by-step explanation:
of means multiply and is means equals
230% * 99 = what
Change the percent to decimal form
2.30 * 99 = what
227.7= what
[tex]\\ \sf\longmapsto 230\%\:of\:99[/tex]
[tex]\\ \sf\longmapsto \dfrac{230}{100}\times 99[/tex]
[tex]\\ \sf\longmapsto \dfrac{230(99)}{100}[/tex]
[tex]\\ \sf\longmapsto \dfrac{22777}{100}[/tex]
[tex]\\ \sf\longmapsto 227.7hours[/tex]
Verificar que el volumen de ambas figuras es el mismo, para ello lleva a cabo el siguiente procedimiento:
a) Obtén una expresión para el volumen de la primera figura.
b) Transforma la expresión como una multiplicación de polinomios.
c) Identifica en tu resultado el área de la base prisma y su altura para concluir una igualdad.
Answer:
English for fast response
Write these sums as decimals:
2/100 + 3/1,000 =
1/10 + 4/10,000 =
Answer:
1 ) 0.023
2 ) 0.1004
Step-by-step explanation:
2 / 100 + 3 / 1000
= 0.02 + 0.003
= 0.020 + 0.003
= 0.023
1 / 10 + 4 / 10,000
= 0.1 + 0.0004
= 0.1000 + 0.0004
= 0.1004
Select the correct answer from the drop-down menu.
Z1 = 4cis (pi/2) and Z2=3cis(3pi/2)
The product of Z1 and Z2 is
Answer:
z₁ × z₂ = 12·cis(2·π)
Step-by-step explanation:
z₁ = 4·cis(π/2), z₂ = 3·cis(3·π/2)
We have;
z₁ = 4·cis(π/2) = 4·(cos(π/2) + i·sin(π/2))
z₂ = 3·cis(3·π/2) = 3·(cos(3·π/2) + i·sin(3·π/2))
According to De Moivre's Theorem,
z₁ × z₂ = 4×3×(cos(π/2 + 3·π/2) + i·sin(π/2 + 3·π/2)) = 12·(cos(2·π) + i·sin(2·π))
∴ z₁ × z₂ = 12·cis(2·π)
6.17 greater or less 61 87/100
Answer:
Less
Step-by-step explanation:
[tex]6.17 < 6.187 [/tex]
the area of a parallelogram shape land is on the square and length of its two adjacent sides are 25 m and 17 M find its diagonal
Step-by-step explanation:
Draw diagonal AC
The triangle ABC has sides 17 and 25
Say AB is 17, BC is 25
Draw altitude on side BC from A , say h
h = 17 sin B
Area = 25*17 sin B = 408
sin B = 24/25
In ∆ ABC
Cos B = +- 7/25
= 625 + 289 — b^2 / 2*25*17
b^2 = 914 — 14*17 = 676
b = 26
h = 17*24/25 = 408/25 = 16.32
Draw the second diagonal BD
In ∆ BCD, draw altitude from D, say DE =h
BD^2 = h^2 + {(25 + sqrt (289 -h^2) }^2
BD^2 = 16.32^2 + (25 + 4.76)^2
= 885.6576 + 266.3424
BD = √ 1152 = 33.94 m
please help meeeeeeeeeeeeee
Answer:
a)-2x(x+4x²)+3(x²+2x)
-2x²-8x³+3x²+6x
-2x²+3x²+6x-8x³
x²-8x³+6x
in descending order
-8x³+x²+6x
b)(4x-3)(4x+3)
4x(4x+3)-3(4x+3)
16x²+12x-12x-9
16x²-9
I hope this helps and sorry if it's wrong
Express it in slope
Enter the corre
000
Clear all
-8
8
In slope-intercept form
In this question, we are given two points, (0,0) and (-8,8), and we want to find the equation of the line in slope-intercept formula.
Slope-intercept formula:
The equation of a line, in slope-intercept formula, is given by:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(value of y when x = 0)[/tex]
Point (0,0):
This means that when [tex]x = 0, y = 0[/tex], and thus, the y-intercept is [tex]b = 0[/tex], and the equation of the line is:
[tex]y = mx[/tex]
Slope:
When we have two points, the slope is given by the change in y divided by the change in x.
In this question, the two points are (0,0) and (-8,8).
Change in x: -8 - 0 = -8
Change in y: 8 - 0 = 8
Slope:
[tex]m = \frac{-8}{8} = -1[/tex]
Thus, the equation of the line, in slope-intercept formula, is:
[tex]y = -x[/tex]
For another example of an equation of a line in slope-intercept formula, you can check https://brainly.com/question/21010520
The equation of the line that passes through [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex] is [tex]y = -x[/tex].
According to the statement, we know the location of two Points: [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex], and must derive the Equation of the Line from this information, whose procedure is described below:
1) Determine the Slope of the line by the Slope Equation for Secant Lines.
2) Use ([tex]x_{1}, y_{1}[/tex]) in the Equation of the Line and solve for the Intercept.
3) Write the resulting Equation of the Line.
Step 1:
The slope of a secant line ([tex]m[/tex]) is calculated from the following formula:
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] (1)
If we know that [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex], then the slope of the line is:
[tex]m = \frac{8-0}{-8-0}[/tex]
[tex]m = -1[/tex]
Step 2:
The equation of the line is Slope-Intercept Form is now represented:
[tex]y = m\cdot x + b[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]b[/tex] - Intercept.
If we know that [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex]m = -1[/tex], then the intercept of the equation of the line is:
[tex]0 = -1\cdot (0) + b[/tex]
[tex]b = 0[/tex]
Step 3:
And the equation of the line that passes through [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex] is [tex]y = -x[/tex].
Related question: https://brainly.com/question/18894159
what is the equation of the line that is parallel to the given line and passes through the point (-3,2)? no links.
Answer:
D) 4x +3y = -6
Step-by-step explanation:
paralell lines so m1 and m2 are equal
m = (3 +1 )/ (0 - 3 )
m = -4/ 3
y -2 = -4/3 (x +3)
y =-4x/3 -2
3y = -4x -6
4x +3y = -6
Match the arc or central angle to the correct measure based on the figure below.
Answer:
a. 50 degrees
b. 130 degrees
c. 180 degrees
d. 230 degrees
a. 50°
b. 130°
c. 180°
d. 230°
what is geometry?geometry, the department of mathematics deals with the shape of individual objects, spatial relationships among various objects, and the properties of surrounding space.
various shapes in geometry have different angle measures. as an example: A triangle is a 3-sided shape and the sum of its 3 interior angles is 180˚ A square, rectangle or quadrilateral are 4-sided shapes, and the sum of their four interior angles is 360˚
Learn more about geometry here
brainly.com/question/25766008
#SPJ2
find the HCF of the following number by listing the set of factors class 6 questions is 27 and 36
Answer:
The factors of 27 are 1,3,9,27.
The factors of 36 are 1,2,3,4,6,9,12,36.
HCF=1,3,9
