Step-by-step explanation:
F( 1 ) = 2 - 6( 1 ) = - 4
F( 2 ) = 2 - 6( 2 ) = - 10
F ( 3 ) = 2 - 6( 3 ) = -16
A running track has two semi-circular ends with radius 27m and two straights of length 90.6m as shown.
Calculate the total distance around the track rounded to 1 DP.
Answer:
350.85
Step-by-step explanation:
90.6*2 = 181.2
27*2 = 54 (diameter)
54*pi = 169.646003294
169.646003294 + 181.2 = 350.846003294
350.846003294 = 350.85
Banks and other financial institutions offer incentives for people to keep their money in a savings account.
True or False?
it's true because it gives interset or compensation amount to the individuals or organizations which motivates people to save their money in a saving account
Does (x, y) satisfy an equation?
Answer:
Yeah
Step-by-step explanation:
convert into power notation -1/81
Answer:
-1/9^2 is the power notation for your questions
Step-by-step explanations
Graph the inequality.
1
Answer:
hope it helps
Step-by-step explanation:
asap answer pls ----------------
Answer:
C
Step-by-step explanation:
Evaluate:
18 (5n - 4) = [?]
Answer:
90n-72=0
Step-by-step explanation:
18×5n-18×4=0
Find the equation of the line perpendicular to y = 3x - 6 that runs through the point (-1, -3).
y
=
1
3
x
+
8
3
y=
3
1
x+
3
8
y
=
−
1
3
x
−
10
3
y=
3
−1
x−
3
10
y = -3x + 8
y
=
3
x
+
10
y=3x+10
Answer:
Step-by-step explanation:
I'll get you the answer. You pick it from what you are given.
The slope of the perpendicular is m1 * m2 = - 1
m1 = 3
m2 = -1 / m1
m2 = -1 / 3
So far what you have is
y = (-1/3) x + b
Use the point go get b
x = -1
y = - 3
y = (-1/3) *x + b
-3 = (-1/3)*-1 + b
-3 = 1/3 + b
-3 - 1/3 = b
b = -3.33333 or
b = -3 1/3
b = -10/3
So the answer is
y = (- 1/3) x - 10/3 or
y = (-1 / 3)x - 3.3333 or
y = (-1/3 )x - (3 1/3)
What could be the coefficient of x once the variable term is isolated on one side of the equation? Check all that apply.
3x - 6(5x + 3) = 9x + 6
1. Distribute: 3x - 30x - 18 = 9x + 6
2. Combine like terms: -27x - 18 = 9x + 6
–36
–27
–24
24
27
36
Answer:
-36,36
Step-by-step explanation:
3x - 6(5x + 3) = 9x + 6
Distribute:
3x - 30x - 18 = 9x + 6
Combine like terms:
-27x - 18 = 9x + 6
There are two possible ways to isolate x
On the left
Subtract 9x from each side
-27x - 18 -9x = 9x-9x + 6
-36x -18 = 6
On the right
Add 27x from each side
-27x - 18 +27x = 9x+27x + 6
-18 =36x+ 6
A researcher decides to find out whether giving students positive
reinforcement improves or impairs their grades. The researcher's sample
group consists of the following 8 students:
0 Jack
1 Tucker
2 Susie
3 Jill
4 Charianna
5 Trey
6 Ashton
7 Jordan
52197 66082 97867 49397 47924 78900 59414 64755 48733
Which of the following represents a 5-person group selected for the
treatment group using the first number in the line from a table of random
numbers above?
A. Charianna, Tucker, Jack, nobody, Ashton
B. Tucker, Susie, Trey, Ashton, Jordan
C. Trey, Susie, Tucker, Jordan, Ashton
D. Charianna, Tucker, Jack, Ashton, Trey
Answer: C. Trey, Susie, Tucker, Jordan, Ashton
========================================================
Explanation:
The random sub-sequence 52197 66082 helps directly determine who we pick.
The digit 5 is first of that sequence, so we pick Trey first (as he's the 5th student). Then we pick student #2 next, who is Susie.
Up next is student #1, and that would be Tucker
Up next is student #9, but the list only goes high as 7. So we skip over 9
Jordan is next up since 7 is the next digit
Finally, the last selection is Ashton because 6 follows after.
--------------
In other words, the sequence 52197 6 will lead to these selections in the order provided.
5 = Trey2 = Susie1 = Tucker9 = skip, since it's not on the list7 = Jordan6 = AshtonSide note: if we wanted a 6th student, then we'd have to skip over the next 6 since we cannot pick Ashton twice. The 6th selection would be Jack since he's student #0
Solve log2(x + 5) + log2(x − 5) = log211.
Answer:
x = 6
Step-by-step explanation:
log2(x + 5) + log2(x − 5) = log2 11.
We know that loga (b) + log a(c) = log a( bc)
log2(x + 5) (x − 5) = log2(11)
Multiply
log2(x^2 -25) = log2(11)
Raise each side to the power of 2
2^log2(x^2 -25) = 2^log2(11)
x^2 - 25 = 11
Add 25
x^2 -25 +25 = 25+11
x^2 = 36
Taking the square root of each side
x = ±6
But x cannot be negative because then the log would be negative in log2(x-5) and that is not allowed
x = 6
Answer:
x = 6
Step-by-step explanation:
[tex] log_2[/tex] ( x + 5 ) + [tex] log_2[/tex]( ( x - 5 ) = [tex] log_2[/tex] 11
Determined the define range.
[tex] log_2[/tex] ( x + 5 ) + [tex] log_2[/tex]( ( x - 5 ) = [tex] log_2[/tex] (11), x ∈ ( 5, + ∞ )
We know that [tex] log_a ( b ) + log_a ( b ) [/tex] = [tex] log_a( bc) [/tex]
[tex] log_2[/tex] ( x + 5 ) ( x - 5 ) = [tex] log_2[/tex] ( 11).
[tex] log_2[/tex] ( ( x + 5 ) × ( x - 5 ) ) = [tex] log_2[/tex] ( 11).
Use indentity :- ( a + b ) ( a - b ) = a² - b².
[tex] log_2[/tex] ( x² + 25) = [tex] log_2[/tex] ( 11).
Since , the base of the logarithm are the same. set the arguments equal.
x² - 25 = 11.
Move constant to the right-hand side and change their sign.
x² = 11 + 25
x² = 36.
Take square root of each side.
√x² = √36
x = ± 6
x = 6
x = -6, x ∈ ( 5, + ∞ )
Check if the solutions is in determine range.
x = 6
Find the equation of the line that passes through (1,6) and (3,10).
y=2x+4
y=-2x+4
y=-24-4
Oy-23-4
Answer:
m = (y2 - y1) / (x2 - x1) = (10 - 6) / (3 - 1) = 2 slope of line
y = m x + b standard form of straight line
y = 2 x + b where b is the intercept at x = 0
b = y - 2 x
b = 6 - 2 = 4 from our first equation
Also, b = 10 - 6 = 4 check from second equation
y = 2 x + 4 is our equation
Check if y = 6 and x = 1 then
y = 2 * 1 + 4 = 6 verifying the first point given
What is the solution to the equation?
-9=-10x-5
Answer:
2/5=x
Step-by-step explanation:
-9=-10x-5
Add 5 to each side
-9+5=-10x-5+5
-4 = -10x
Divide by -10
-4/-10 = -10x/-10
2/5 =x
Answer:
0.4
Step-by-step explanation:
you take the -5 to the other side as positive and that is -4 = -10X and then you divide -4 by -10 and that is 0.4 hope that helps
An acute angle of a right triangle measures 30°, and the length of the triangle's hypotenuse is 10 ft. Find the missing angle measure and side lengths.
Answer:
missing angle <60 and side lengths 5, 5[tex]\sqrt{3}[/tex]
Step-by-step explanation:
we understand from the given information that the triangle in question is a special right triangle
and since this is a special triangle the side lengths follows :
the side length that sees <90 is represented by 2x
the side length that sees <60 is represented by x[tex]\sqrt{3}[/tex]
and the side length that sees <30 is represented by x
2x = 10 so x = 5 and x[tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex]
The graphs below have the same shape. What is the equation of the red graph?
G(x) = ?
F(x) = 3 - x^4
G(x) =____
Answer:
A
Step-by-step explanation:
because if x=0
y=4
pls give me brainliest
The function represented by the red graph is -
g(x) = 4 - x⁴
What is translation of graph?
A translation is a movement of the graph either horizontally (parallel to the
x - axis) or vertically (parallel to the y -axis).
Given is the graph of the function -
f(x) = 3 - x⁴
In order to shift the graph upwards by one unit upwards, we will make a new function g(x) such that -
g(x) = f(x) + 1
Therefore -
g(x) = 3 - x⁴ + 1
g(x) = 4 - x⁴
Therefore, the function represented by the red graph is -
g(x) = 4 - x⁴
To solve more questions on translation of graphs, visit the link below-
https://brainly.com/question/11805053
#SPJ2
Which of the following is a characteristic of science?
Answer:d
Step-by-step explanation:
Answer:
D
explanation:
i got it right on the test
a rectangle has a perimeter equal to 24 if we consider its width x how could we talk about its length y in terms of x what are the possible values of x what aree the possible values of y
PLZ HELP
wait ik you from rsm
order -3, 5, 16, and -10 from least to greatest. Then order the same numbers from closest to zero to fastest from zero. Describe how your lists are similar. Would this be true if the numbers were -3, 5, -16, and -10?
Answer:
least to greatest is : -10,-3,5,16
then closest to zero is :-3,5,-10,16
Step-by-step explanation:
well lets just say for least to greastest anything lower then 0 is always less so -1,-2,-3,-4,-5 etc will keep being less so -10 being less the -3 the puts it at first so -10 first then comes -3 and of course anything after 0 well you already know 16 is greater the 5 so again least -10,-3,5,16 greatest and for the closest to and farthest from 0 is well just think of them as all positive numbers then you would have 3,5,10,16 right going from least to greatest so then all you do is add the negative sign to your negative numbers which is -3,5,-10,16 BOOM
If log 3=x and log 5=y find the value of log 75
Answer:
Step-by-step explanation:
75 = 5 * 5 * 3
Log3 + log(5) + log(5) = 1.8751
log(75) = 1.87506 which is the same answer we got from adding the logs.
A building in the shape of a pentagon is regular and has 50 feet long walls. What interior angles are formed when two of the walls meet?
A. 72
B. 90
C. 900
D. 108
Answer:
[tex]\text{D. }108^{\circ}[/tex]
Step-by-step explanation:
The sum of the interior angles of a polygon with [tex]n[/tex] sides is given by [tex]180(n-2)[/tex].
A pentagon is a shape with 5 sides and 5 angles. Therefore, the sum of its interior angles is equal to:
[tex]180(5-2),\\180\cdot 3=540^{\circ}[/tex]
Regular polygons can be defined as polygons with equal side lengths and angles. Therefore, to find the measure of each interior angle of a regular polygon, divide the sum of the interior angles (540 degrees) by the number of angles the polygon has (5 sides).
Therefore, each interior angle in a regular polygon has a measure of:
[tex]\frac{540}{5}=\boxed{108^{\circ}}[/tex]
Each interior angle in a regular polygon has a measure of is 108°. Therefore, option D is the correct answer.
What is the formula to find the number of sides with interior angle?We can find the number of sides in a polygon using the value of interior angle. Interior angle = 180°(n-2)/n, where n is the number of sides of the polygon.
The sum of the interior angles of a polygon with n sides is given by 180(n-2).
A pentagon is a shape with 5 sides and 5 angles. Therefore, the sum of its interior angles is equal to:
180(5-2) =540°
Therefore, option D is the correct answer.
Learn more about the interior angles of regular polygon here:
brainly.com/question/29774899.
#SPJ2
The circles are concentric. True False
Answer:
true, to my knowledge concentric circles are just circles that all have one main center.
Step-by-step explanation:
What is the slope of the line shown below?
10
(8,8)
O A. -3
LO
(5,5)
O B. -1
O c. 1
-5
5
10
15
5
O D. 3
-10 1
Answer:
It's C. 1
Step-by-step explanation:
Use slope intercept form.
Identify the equation of the circle that has its center at (9, 12) and passes through the origin.
Answer:
(x-9)^2 +(y-12)^2 = 225
Step-by-step explanation:
First find the length of the radius
If is the distance from the center to the point
d = sqrt( (x2-x1)^2 + (y2-y1)^2 )
= sqrt( (0-9)^2 + (0-12)^2)
= sqrt ( 81+144)
= sqrt(225)
= 15
The equation for a circle is
( x-h) ^2+ (y-k)^2 = r^2
(x-9)^2 +(y-12)^2 = 15^2
(x-9)^2 +(y-12)^2 = 225
ailey is shopping at a department store during a 20% off everything sale. She also has a coupon for $5.00 off the sale amount. Hailey wants to keep her total under $65.00 before tax, so she creates this inequality:
0.80x − $5.00 ≤ $65.00.
Which inequality represents all possible solutions for x?
A.
x ≤ $75.00
B.
x ≤ $76.25
C.
x ≤ $86.25
D.
x ≤ $87.50
Answer:86.25
Step-by-step explanation:
86.25 x .80 = 69.20
69.20 - 5.00 = 64.20 which is under 65.00
answer d is incorrect because she would be at 65.00 and she wants to be under 65.00
(x + 6): x= 5:2 Work out the value of x.
Answer:
x is 4
Step-by-step explanation:
[tex]{ \bf{(x + 6) : x = 5 :2 }} \\ { \tt{ \frac{(x + 6)}{x} = \frac{5}{2} }} \\ \\ { \tt{5x = 2(x + 6)}} \\ { \tt{5x = 2x + 12}} \\ { \tt{3x = 12}} \\ { \tt{x = 4}}[/tex]
Answer: x = 4 :)
(x + 6): x= 5:2
x : x + 6 : x = 5 : 2
1 + 6:x = 2,5
6:x = 2,5 - 1
6:x = 1,5
x = 6: 1,5
x= 4
Have a nice day:)
PLS ANSWER YA'LL!
A house owner wishes to cover their roof with solar panels. Each solar panel is of the following size.
->The roof section is rectangular 7.2 m by 4.4 m.
->Each solar panel measures 1400 mm by 850 mm.
There needs to be at least a 30 cm gap left at each edge of the roof section. The house owner thinks he can have at least 15 solar panels fitted to the roof section.
Can u agree? If yes, show the working. (Hint: He can rotate the solar panel)
Answer:
Yes
Step-by-step explanation:
The roof is Rectangular :
Dimension of roof section : 7.2 m by 4.4 m
Area of roof = length * width
Area of roof = 7.2 * 4.4 = 31.68 m²
Dimension of solar panels = 1400 mm by 850 mm
Converting to m:
1000mm = 1 m
1400/1000 by 850/1000 = 1.4 m by 0.85 m
Area each solar panel = 1.4 * 0.85 = 1.19 m²
Gap left at each edge :
30cm gap about the 4 edges gives a square with side length 30cm:
30cm = 30/100 = 0.3m
Area of gap left = 0.3² = 0.09 m²
Total area that can be covered = (31.68 - 0.09) m² = 31.59 m²
Maximum number of panels that can be placed on roof section :
Total area that can be covered / area of panel
31.59 m² / 1.19 m²
= 26.54 panels
Find the measure of b.
Answer: the answer is 40
Answer:
Hello,
measure of b=40°
Step-by-step explanation:
A proof in picture
Find sin 0
A. 16/20
B. 12/16
C. 12/20
D. 16/12
Answer:
16/20
Step-by-step explanation:
Since this is a right triangle
sin theta = opp side / hypotenuse
sin theta = 16/20
Answer:
A.
[tex]{ \tt{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\ \\ { \tt{ \sin( \theta) = \frac{16}{20} }}[/tex]
What action represents the "!" symbol on a TI 84 plus CE calculator for a Statistics problem??
Answer:
The "!" represents a factorial
Step-by-step explanation:
In math, a factorial when there is an ! followed by a number.
For example, 5! = 5 factorial.
To solve factorials, multiply every integer below the number before the factorial, including the number.
5! = 5 x 4 x 3 x 2 x 1 = 120.
Can y’all help me out?
Answer:
Expression is equivalent to (x^1/4 y^16)^1/2 is x^1/8 y^8
