Step-by-step explanation:
Domain = x € the real Numbers
Range = y € the real Numbers
No asymptotes
What is the explicit formula for the sequence 10, 15, 22.5, 33.75, …?
Answer:
Step-by-step explanation:
Since there's no one one number you can add to one number in the sequence to get to the next number, this is not arithmetic. It must be geometric. We need then to find the common ratio. Let's start with the first 2 numbers, find a ratio, and then use it to test for accuracy.
10x = 15 and
x = [tex]\frac{15}{10}=\frac{3}{2}[/tex] If this is in fact a geometric sequence witha common ratio of 3/2, we should be able to multiply 15 by 3/2 to get to the next number in the sequence. Let's try it out:
[tex]15(\frac{3}{2})= \frac{45}{2}=22.5[/tex] Good. So the common ratio is 3/2. The formula for an explicit geometric formula is
[tex]A_n=a_1(r)^{n-1[/tex] where a1 is the first number in the sequence and r is the common ratio. Filling in:
[tex]A_n=10(\frac{3}{2})^{n-1[/tex]
The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = 1/4(x - 8). What
iS the slope-intercept form of the equation for this line?
O y = 1/4x- 12
O y= 1/4x-4
O y= 1/4x+2
O y= 1/4x+6
Answer:
3rd option
Step-by-step explanation:
The equation of a line in point slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Given
y - 4 = [tex]\frac{1}{4}[/tex] (x - 8)
with m = [tex]\frac{1}{4}[/tex] and (a, b) = (8, 4 )
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept ) , then
y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation
To find c substitute (8, 4) into the partial equation
4 = 2 + c ⇒ c = 4 - 2 = 2
y = [tex]\frac{1}{4}[/tex] x + 2 ← equation in slope- intercept form
What is the volume of this container 4 ft2 2 ft3 2 ft2 4 ft3
Answer:
2 [tex]ft^{3}[/tex]
Step-by-step explanation:
volume of a cuboid = length * breadth * height
= 2*1*1
=2 [tex]ft^{3}[/tex]
Answer:
The volume of container is 2 ft ³.
Step-by-step explanation:
We have,
Length = 1 ft .Breadth = 1 ft.Height = 2 ft.We have Formula, Volume of Cuboid.
[tex] \small \sf \mapsto \: Volume = length × breadth × height[/tex]
substitute the values
[tex] \small \sf \mapsto \: Volume = 1 ft × 1 ft × 2 ft[/tex]
multiply the values
[tex] \small \sf \mapsto \: Volume = 2 \: ft {}^{3} [/tex]
Hence, the volume of container is 2 ft ³.
Please help! I don't know how to do this.
Write a polynomial of least degree with roots 1 and 2.
Answer:
f(x) = x^2 - 3x + 1.
Step-by-step explanation:
If the roots of this polynomial are 1 and 2, the corresponding factors are (x - 1) and (x - 2). Multiplying, we get
f(x) = (x - 1)(x - 2) = x^2 - 3x + 1
The polynomial of least degree with roots 1 and 2 is f(x) = x^2 - 3x + 1.
A company has the pay scales below , with the percent of employees receiving that pay listed. Find the best value to represent an average salary at this company. ( round to the nearest dollar ) Job Salary Percent of Employees Entry 23,264 60% 47,480 38% 117,027 2%
Answer:
$34,341
Step-by-step explanation:
Given :
Job Salary Percent of Employees Entry 23,264 60% 47,480 38% 117,027 2%
To obtain the best value for the mean salary ; we obtain the weighted average ;
Σ(salary * weight factor) / Σ weight
[(23264 * 0.60) + (47480 * 0.38) + (117027 * 0.02)] ÷ (0.60 + 0.38 + 0.02)
= 34341.34 / 1
Average salary = 34341.34
= $34,341 ( nearest dollar)
Which one of the following is a non-profit financial intermediary?
Leasing company
Mutual fund
Credit union
Investment bank
Answer:
The answer is Credit union
Step-by-step explanation:
Please please please help me
Answer:
2nd option
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
P (- 8, 1 ) → P' (- 8, - 1 )
Q (- 6, - 8 ) → Q' (- 6, 8 )
R (4, - 3 ) → R' (4, 3 )
Find the median of the given data 60cm,56cm,45cm,50cm,54cm,51cm,52cm,48cm,46cm,53cm
How many solutions does the equation sin(5x) = 1/2 have on the interval (0,2pi]?
Answer:
1/2 has two solutions for 5x
Step-by-step explanation:
But if you add 2pi, 4pi, 6pi, 8pi to the solutions then divide by 5, you get 10 solutions for x
PLEASE HELP MEE 1616,
What is the value of f in the equation 7f-1=6
Answer:
f = 1
Step-by-step explanation:
7f-1=6
Add 1 to each side
7f-1+1=6+1
7f = 7
Divide each side by 7
7f/7 = 7/7
f = 1
hank paid #3.50 for 2 hamburgers. how much will he pay for 8 hamburgers?
Answer:
$14
Step-by-step explanation:
3.50/2= 1.75
1.75*8= 14
The diagonal of a TV is 26 inches long. Assuming that this diagonal forms a
pair of 30-60-90 right triangles, what are the exact length and
width of the TV? PLEASE HURRY
Answer:
D
Step-by-step explanation:
30-60-90
Hypotenuse = 26
one side is half.
the other side is 1/2[tex]\sqrt{3}[/tex]
what is the solution to this equation?
4x+16-x=22+6
Answer:
x=4
Step-by-step explanation:
4x+16-x=28
4x-x+16=28
3x+16=28
3x=28-16
3x=12
x=12/3
x=4
What are the zeros of the quadratic function
y = 6x2 + 3x - 45
Answer:
l think
y= x^2
.
.
.
.
..
..
.
.
.
.
Triangle ABC is reflected across x = 1 and y = -3. What are the coordinates of reflection image of A after both reflections
Answer:
(1,0)&(0,-3)
Step-by-step explanation:
might be not sure..
A figure is shown with the given dimensions.
What is the area, in square feet, of the figure?
Answer:
[tex] \blue{A = 24~ft^2} [/tex]
Step-by-step explanation:
This figure is a trapezoid with bases of 10 ft and 6 ft and height of 3 ft.
[tex] A = \dfrac{b_1 + b_2}{2}h [/tex]
[tex] A = \dfrac{10~ft + 6~ft}{2} \times 3~ft [/tex]
[tex] \blue{A = 24~ft^2} [/tex]
Find the equation of the line that passes through the points (4,
11) and (-1,1). Write your answer in slope-intercept form. Bonus points for
writing it in the two other forms (make sure you label which form is which).
Step-by-step explanation:
the slope = (1-11)/(-1-4) = -10/(-5) = 2
the equation is : y -11 = 2(x-4)
=> y -11 = 2x -20
y = 2x -8 +11
y = 2x +3
other forms :
<=> 2x - y = -3
<=> 2x - y + 3 = 0
Given the following quadratic equation, find the average rate of change
for the interval (1,3]. *
f(x)= 3x^2
Please help me i need someone to help!
Answer:
so to do this we basicely just go through and substitute the anser in and see if it works.
60+10=70
60-10=50
NO
50+20=70
50-20=30
RIGHT
so the answer is the second one
Find the measure of the missing angles to name the shortest and longest sides. (2x) x+15) 1. X= 2.
Answer:
KINDLY CHECK EXPLANATION
Step-by-step explanation:
The triangle Given is right angled :
Hence, the sum of the two angles = 90°
Hence, 2x + (x + 15) = 90
2x + x + 15 = 90
3x = 90 - 15
3x = 75
x = 75 / 3
x = 25
2x = 2 * 25 = 50
(x + 15) = 25 + 15 = 40
Hence, largest angle = angle Y
Largest side = side opposite largest angle = AD
smallest angle = (x + 15) = 40
Smallest side = side opposite smallest angle = AY
calculate the volume of a ball having a radius of 8 cm
Answer:
267.9 [tex]cm^{3}[/tex]
Step-by-step explanation:
volume of a circle = 4/3 * π *[tex]r^{2}[/tex]
=4/3 *3.14 *[tex]8^{2}[/tex]
=12.56/3 *64
=803.84/3
=267.94
=267.9 [tex]cm^{3}[/tex]
Find the distance between the two points in simplest radical form (-3,-2), (-8,4)
Answer:
√61
Step-by-step explanation:
Identify the type of function represented by
f(x) = 4.2%
O A. Exponential growth
O B. Exponential decay
O C. Decreasing linear
O D. Increasing linear
1.875mps into kilometers per hour
Answer:
Answer:
6,75 kilometres per hour
Step-by-step explanation:
1,875×18÷5
=6,75
help asap pls ----------------------------------- Also tell me the graph from the second/third photo not the equation
Answer:
graph "B"
at 0 graph = -1200 that is the production cost
Step-by-step explanation:
Mark rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 5.
A hat contains slips of paper with the names of the 26 other students in Eduardo’s class on them, 10 of whom are boys. To determine his partners for the group project, Eduardo has to pull two names out of the hat without replacing them.
What is the probability that both of Eduardo’s partners for the group project will not be boys?
StartFraction 9 Over 65 EndFraction
StartFraction 24 Over 65 EndFraction
StartFraction 64 Over 169 EndFraction
StartFraction 128 Over 325 EndFraction
Answer:
24/65
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
edge 2023
what is the scale factor from figure a to figure b
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The scale factor is the ratio of corresponding sides , B to A
The right vertical side of B is 2 units
The right vertical side of A is 4 units
scale factor = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
6.perimeter of the given shape above is
a) 20 feet
b) 40 feet
c) 30 feet
d) 25 feet
e) 10 feet
first ,length(l)=14 feet,
bredth(b)=6feet.
now, perimeter = 2(l+b)
=2(14+6)
= 2×20
= 40 feeet
Hope this helps you....
In the diagram below, DE is parallel to xy. What is the value of x?
115
E
*
xº
Y
A. 115
B. 85
C. 105
D. 65
The measure of the angle x will be 65°. Then the correct option is B.
What is an angle?Corresponding angle – If two lines are parallel, then the third line. The corresponding angles are equal angles.
Linear angle – If the total of two angles is 180 degrees, they are said to be linear angles.
Let y be the corresponding angle of x and linear pair of 115°.
∠y + 115° = 180°
∠y = 65°
Then the angle y and angle x are corresponding angles. Then we have
∠x = ∠y
∠x = 65°
Then the correct option is B.
The complete question is given below.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
Answer: 65
Step-by-step explanation: