Answer:
[tex] \frac{ |a + x| }{2} - \frac{ |a - x| }{2} \\ \\ = \frac{ | - 2 - 6| }{2} - \frac{ | - 2 + 6| }{2} \\ \\ = \frac{ | - 8| }{2} - \frac{ |4| }{2} \\ \\ = \frac{8}{2} - \frac{4}{2} \\ \\ = 4 - 2 = 2[/tex]
Which expression is not equivalent to the other three? A: 2x + 2 + 2x + 3x - 8 B: 4 + 7x - 2 C: -2 + 5x + 2x - 4 D: 8x - x - 6
Answer: B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Let's look at A.
A simplified = 7x - 6
Let's look at B
B simplified = 2 + 7x
Let's look at C
C simplified = -6 + 7x OR 7x - 6
Let's look at D, lastly.
D simplified = 7x - 6
In conclusion, we can see that 7x - 6 is the answer we need to arrive at to have equivalent expressions. Only B does not have that answer, so B is the answer.
Hope that helps!
Easy Points! whats 2+2?
Answer:
4
Step-by-step explanation:
Cart 1 (500 g) moves to the right at 0.40 m/s. Cart 2 (250g) moves to the left at 0.50 m/s. a. If the carts stick after the collision, what will be their velocity?
Answer:
after the collision cart 1 will stop and cart 2 will keep moving will 0.1.m/s after stop.
POSSIBLE POINTS: 15
A can of soda contains 0.355 liters of soda. How many milliliters of soda are in one can?
What is the product?
One-third times 33.99
Answer:
11.33
Step-by-step explanation:
um I'm not that good at explaining but...
33/3=11
99/3=33
put it together
11.33
Identify the vertex and the y-intercept of the graph translated 1 unit right from the parent function f(x)=x2
Vertex ( ?,?)
y-intercept: ?
Answer:
Step-by-step explanation:
y = (x-1)²
vertex (1,0)
y-intercept = (0-1)² = 1
The following data represent the number of housing starts predicted for the 2nd quarter (April through June) of 2014 for a random sample of 40 economists.
984 1260 1009 992 975 993 1025 1164 1060
992 1100 942 1050 1047 1000 938 1035 1030
964 970 1061 1067 1100 1095 976 1012 1038
929 920 996 990 1095 1178 1017 980 1125
964 888 946 1004
Required:
a. Draw a histogram of the data.
b. Construct a 95 % confidence interval for the population mean forecast of the number of housing starts in the second quarter of 2014.
c. Construct a 90% confidence interval for the population mean forecast of the number of housing starts in the second quarter of 2014
Answer:
Kindly check attached picture ;
(999.494 ; 1046.056) ;
(1003.235 ; 1042.315)
Step-by-step explanation:
Given the data:
888, 920, 929, 938, 942, 946, 964, 964, 970, 975, 976, 980, 984, 990, 992, 992, 993, 996, 1000, 1004, 1009, 1012, 1017, 1025, 1030, 1035, 1038, 1047, 1050, 1060, 1061, 1067, 1095, 1095, 1100, 1100, 1125, 1164, 1178, 1260
Using calculator to obtain the mean and standard deviation :
Mean, x = 1022.775
Standard deviation, s = 75.124
Sample size, n = 40
Zcritical at 95% = 1.96
Zcritical at 90% = 1.645
Using the relation :
x ± E
E = error margin = Zcritical * s / sqrt(n)
At 95% ;
Error margin = 1.96 * 75.124/ sqrt(40) = 23.281
At 90% ;
Error margin = 1.645 * 75.124/ sqrt(40) = 19.540
Confidence interval at 95%:
(1022.775 - 23.281) ;(1022.775 + 23.281)
(999.494 ; 1046.056)
Confidence interval at 90%:
(1022.775 - 19.540) ;(1022.775 + 19.540)
(1003.235 ; 1042.315)
Mrs.Ziegler will use 1/5 of the 4gallons of milk she has to make chocolate pudding. How much milk will Mrs.Zirkle use to make chocolate pudding?
What is 0.11 / 22.77
Answer:
is your answer
0.00483091
Step-by-step explanation:
Anastasia went shopping for birthday gifts and bought three of the same board game. She also spent $9.75 on birthday cards. Anastasia spent a total of $69.60. What was the price of each board game?
PLEASE HELP ME ITS URGENT ❗❗❗❗❗❗❗❗❗❗❗
Answer: W is your answer :)
Step-by-step explanation:
Please fill in the answers by 4:00 !! (I'll give brainliest if u help me)
here you go! hopefully this helps :))
please help NO LINKS I WILL REPORT YOU ( i will also mark brainliest)
Answer:
6.96 is the area of this triangle! So, option A is correct.
Hope this helps and please mark brainliest!
What’s the slope of the line I forgot how to do it when it comes to negative ones :((!!
Whoever responds first will get marked Best! No links or else I will ban you!Mary is using a triangular piece of cloth to make a scarl for her teddy bear. The base of the scarf is 18 cm and height is 12 cm. How many square
centimeters of cloth does Mary have?
Answer:
108 sq cm
Step-by-step explanation:
18x12 = 216
216/2 = 108
Is this a rational number
Answer:
Note that it is not a perfectly elastic result so it is irrational
Use the slope formula to find the slope of the line through the points (2,1) and (8,7)
Answer:
6/6
Step-by-step explanation:
Answer: slope = (6,6)
Step-by-step explanation:
Geometry!! Will give brainliest
it's the second one.
ill mark brainlist plss help
Step-by-step explanation:
Perimeter of rectangle = 2(l+b)
= 2(97+17)
= 2(114)
= 228cm
Answer:
P = 228 inches
Step-by-step explanation:
P = 2(l + w)
l = 97 inches
w = 17 inches
P = 2 (97 + 17)
P = 2 x 114
P = 228
Someone please explain how you got the answer please and thank you
Answer:
3 texts by madelyn, there were 2 texts from aubrey
Step-by-step explanation:
the ratio of maddie to aubrey was 18:12 which is 3:2
so 3 by maddie = 2 by aubrey
i used maddie because its shorter
Answer:
6 + 6 is 12 and 12 + 6 is 18 so i think its for every 6 text sent and then 6 again (6 in both boxes)
Step-by-step explanation:
adore your sasha pfp
The expression (x^3) (x12) is equivalent to x^n. What is the value of n?
3 and n are exponents
Answer:
Step-by-step explanation:
(x^3) (12x)
(x^4)(12)
12x^4
We can really find the exponent without knowing what x is equal to but I hope this helps
Two forces of 90 newtons and 58 newtons act simultaneously on an object. The angle between the two forces is 57°. Find the magnitude of the resultant, to the nearest 10th of a newton.
Answer:
131.0 N
Step-by-step explanation:
Let the 90 N force is acting a horizontal force on the object
Horizontal force = 90 + 58sin33
Vertical force = 58cos33
∴The resultant force = √(90 + 58sin33)² + (58cos33)²
= 131.0 N
the perimeter of a rectangle is 15x+17y. if the length is 7/2x+7y, then find the width of the rectangle
A.) 4x+3/2y
B.) 8x+3y
C.) 8x+10y
D.) 4x+3y
Answer:
A
Step-by-step explanation:
Length : [tex]\frac{7x}{2} + 7y[/tex]
Perimeter: [tex]15x + 17y[/tex]
Perimeter = 2(Length + Width)
15x + 17y = 2( [tex]\frac{7x}{2} + 7y[/tex] + Width)
15x + 17y = 7x + 14y + 2(Width)
15x + 17y -7x -14y = 2(Width)
8x + 3y = 2(Width)
Width = [tex]\frac{8x + 3y}{2}[/tex]
Width = 4x + 3y/2
You are building a frame for a window. The window will be installed in the opening shown in the diagram. Determine whether the opening is a rectangle. Then give the length of the diagonals.
Answer:
dfffffdf
Step-by-step explanation:
The remaining questions refer to the following situation: Suppose a certain farmer wants to find out if the average length of the green beans in her field is 4 inches. She collects a random sample of 100 beans and get a sample mean of 3.75 inches. (Suppose she knows that the population standard deviation of bean length is 0.5.) What is the population in this situation
Answer:
The population in this situation is all green beans in her field.
Step-by-step explanation:
Informally, if you take a sample of an object, the population in all of these objects.
In this question:
Sample of 100 green beans in her field. This means that the population in this situation is all green beans in her field.
The age of a first-grader on September 1 at Garden Elementary School has the following distribution: f (x )space equals space 1 comma space space 5.8 less or equal than x less or equal than 6.8 We randomly select one first-grader from the class. Find the probability that she is over 6.5 years old. Round to one decimal place.
Answer:
lol
Step-by-step explanation:
lol
Item 16
Find the perimeter of the figure to the nearest hundredth. due today
Answer:
42.84 cm
Step-by-step explanation:
1) Find the perimeter of the top trapezoid. (In cm) 6 + 8 + 12 + 10 = 36 cm
2) Find the circumference of the semicircle with the formula 0.5(pie times D) where D is the diameter. Another formula is 0.5(pie times 2r) where r is the radius. Approximate pie to 3.14 so we should get 0.5 * 3.14 * 12 = 18.84 cm
3) We do not need the length of the base of the trapezoid so we take 36 + 18.84 - 12 = 42.84 cm
El desplazamiento (en metros) de una partícula que se mueve
en línea recta esta dado por s = 12 – 8t + 18, donde t se
mide en segundos.
a) Encuentre la velocidad promedio en cada intervalo de
tiempo:
i) [3, 4] ii) [3.5, 4]
iii) [4, 5] iv) [4, 4.5]
b) Halle la velocidad instantánea cuando t = 4.
c) Dibuje la grafica de s como función de t y trace las rectas
secantes cuyas pendientes son las velocidades promedio
en el inciso a) y la recta tangente cuya pendiente es la
velocidad instantánea en el inciso b).
Answer:
c
Step-by-step explanation:
hize la misma pregunta que vos
The average velocities for the given time intervals are,
(i) -8 m/s,
(ii) -12 m/s,
(iii) 4 m/s, and
(iv) 4 m/s. The instantaneous velocity at t = 4 is -8 m/s. The attached graph of s as a function of t is a straight line with slope -8, showing the secant and tangent lines.
a) To find the average velocity in each time interval,
calculate the change in displacement (Δs) divided by the change in time (Δt) within each interval.
s = 12 - 8t + 18
i) [3, 4]:
Δs = s(4) - s(3) = (12 - 8(4) + 18) - (12 - 8(3) + 18) = -8
Δt = 4 - 3 = 1
Average velocity = Δs / Δt = -8 / 1 = -8 m/s
ii) [3.5, 4]:
Δs = s(4) - s(3.5) = (12 - 8(4) + 18) - (12 - 8(3.5) + 18) = -6
Δt = 4 - 3.5 = 0.5
Average velocity = Δs / Δt = -6 / 0.5 = -12 m/s
iii) [4, 5]:
Δs = s(5) - s(4) = (12 - 8(5) + 18) - (12 - 8(4) + 18) = 4
Δt = 5 - 4 = 1
Average velocity = Δs / Δt = 4 / 1 = 4 m/s
iv) [4, 4.5]:
Δs = s(4.5) - s(4) = (12 - 8(4.5) + 18) - (12 - 8(4) + 18) = 2
Δt = 4.5 - 4 = 0.5
Average velocity = Δs / Δt = 2 / 0.5 = 4 m/s
b) To find the instantaneous velocity when t = 4, we'll find the derivative of s with respect to t and then substitute t = 4.
s = 12 - 8t + 18
ds/dt = -8
Instantaneous velocity at t = 4 is equal to the derivative at t = 4:
Instantaneous velocity at t = 4: ds/dt (t=4) = -8 m/s
c) To sketch the graph of s as a function of t and draw the secant lines (average velocities) and the tangent line (instantaneous velocity):
Attached graph.
The graph of s as a function of t is a straight line with a slope of -8 and a y-intercept of 30. At t = 4, the instantaneous velocity is -8 m/s.
Secant lines:
Draw a straight line connecting the points (3, 10) and (4, 2) for the interval [3, 4].
Draw a straight line connecting the points (3.5, 4) and (4, 2) for the interval [3.5, 4].
Draw a straight line connecting the points (4, 2) and (5, 6) for the interval [4, 5].
Draw a straight line connecting the points (4, 2) and (4.5, 4) for the interval [4, 4.5].
Tangent line:
At t = 4, draw a straight line with a slope of -8 and passing through the point (4, 2).
The attached graph will show the secant lines with different slopes as the average velocities in each interval and the tangent line with a slope of -8 as the instantaneous velocity at t = 4.
learn more about average velocity here
brainly.com/question/32663715
#SPJ2
The above question is incomplete , the complete question is:
The displacement (in meters) of a moving particle
in a straight line is given by s = 12 – 8t + 18, where t is
measured in seconds.
a) Find the average velocity in each time interval:
i) [3, 4] ii) [3.5, 4]
iii) [4, 5] iv) [4, 4.5]
b) Find the instantaneous velocity when t = 4.
c) Plot s as a function of t and draw the secant lines whose slopes are the average velocity in part (a) and the tangent line whose slope is the
instantaneous velocity in part (b).
Help nnananannanannanananannannanansnnsnsnnsnsnsnsnnsns
Answer:
2
Step-by-step explanation:
The two x's end up being -4 and 6, so added together that's 2
what is the answer to this 4 - 1 3/4
the answers is 9/4
simplified its 2 1/4 in mixed number form
decimal is 2.25