Answer:
48 goes into 123 about 2.5625 times.
Step-by-step explanation:
To determine how many times does 48 go into 123, the following mathematical calculation must be performed, by which 123 will be divided by 48 to obtain said number of times:
123/48 = X
2.5625 = X
Therefore, 48 goes into 123 about 2.5625 times.
If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by y = 56t − 1.86t2.
(a) Find the average speed over the given time intervals.
(i) [1, 2] m/s
(ii) [1, 1.5] m/s
(iii) [1, 1.1] m/s
(iv) [1, 1.01] m/s
(v) [1, 1.001] m/s
(b) Estimate the speed when t = 1. m/s.
Answer: (a) (i)50.42 m/s (ii) 51.35 m/s (iii) 52.094 m/s (iv) 52.2614 m/s (v) 52.27814 m/s
(b) 54.14 m/s
Step-by-step explanation:
The average speed over the given time interval [a,b]: = [tex]\frac{y(b)-y(a)}{b-a}[/tex]
Given: If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by [tex]y = 56t − 1.86t^2.[/tex]
(a)
(i) average speed = [tex]\frac{y(2)-y(1)}{2-1}[/tex]
[tex]=\frac{56(2)-1.86(2)^2-(56(1)-1.86(1)^2)}{1}[/tex]
[tex]=50.42[/tex] m/s
(ii) average speed = [tex]\frac{y(1.5)-y(1)}{1.5-1}[/tex]
[tex]=\frac{56(1.5)-1.86(1.5)^2-(56(1)-1.86(1)^2)}{0.5}[/tex]
[tex]=51.35[/tex]m/s
(iii) average speed = [tex]\frac{y(1.1)-y(1)}{1.1-1}[/tex]
[tex]=\frac{56(1.1)-1.86(1.1)^2-(56(1)-1.86(1)^2)}{0.1}[/tex]
[tex]=52.094[/tex]m/s
(iv) average speed = [tex]\frac{y(1.01)-y(1)}{1.01-01}[/tex]
[tex]=\frac{56(1.01)-1.86(1.01)^2-(56(1)-1.86(1)^2)}{0.01}[/tex]
[tex]=52.2614 [/tex]m/s
(v) average speed = [tex]\frac{y(1.001)-y(1)}{1.001-01}[/tex]
[tex]=\frac{56(1.001)-1.86(1.001)^2-(56(1)-1.86(1)^2)}{0.001}[/tex]
[tex]=52.27814 [/tex]m/s
(b) [tex]y(1)=56(1)-1.86(1)^2[/tex]
[tex]=56-1.86[/tex]
[tex]= 54.14[/tex] m/s
There are 20 students in the class. I counted 8 girls. What percent are boys?
Answer:
60%
Step-by-step explanation:
20-8=12
12÷20=0.6
0.6×100=60%
Mr. Mole left his burrow that lies below the ground and started digging his way at a constant rate deeper into
the ground. After 5 minutes of descending at a rate of 1.8 meters per minute, he was 13.5 meters below the
ground.
Let y represent Mr. Mole's altitude (in meters) relative to the ground after c minutes.
Complete the equation for the relationship between the altitude and number of minutes.
y =
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Determine the situation that best describes a normal distribution.
A.
heights of students in a class
B.
prices of shirts during a sale
C.
grades of students on an easy test
D.
cost of houses during inflation
Expand and Simplify 4(g + 5) + 3(g – 2)
PLEASE HELP!!!! I WILL GIVE 50 POINTS!!!
IT IS THE DOCUMENT BELOW PLEASE
The answer is
S .For many reasons
Therefore,
1. Zoey took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.20 plus $3.25 per mile. The total fare was $40.20, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride.
Equation:
Answer: xx =
equation:3.25x+1.2=40.2
ansrew:x=12
Kate is 5 feet 2 inches tall.
Alice is 1.57 metres tall.
Alice says that she is taller than Kate.
Use the conversions below to decide if Alice is correct.
12 inches = 1 foot
1 inch = 2.5 centimetres
if someone could help me with this it would be really helpful
Answer:
Alice is wrong kate is taller than Alice
Step-by-step explanation:
because Alice is 5'1 and Kate is 5'2
Help me out pls and thanksssss
4 3/12 + 1 4/12 = (make sure you simplify the fraction)
Answer:
5 7/12 but it's 67/12 as an improper fraction
Step-by-step explanation:
2m^2 - 4m/ 2(m - 2) simplified
Answer:
=2m²-4m/2(m-2)
=2m(m-2)/2(m-2)
=m is the correct answer
Write the point-slope form of the line's equation satisfying the given conditions. Then use the point-slope form of the equation to write the slope-intercept form of the equation
Slope = 4, passing through (5,3)
Answer:
y = 4x - 17
Step-by-step explanation:
1. (y - y1)=m(x - x1) point-slope formula: slope = 4
2. (y - 3) = 4 (x - 5) substitute x and y values: (5, 3)
3. y - 3 = 4x - 20 simplify
4. y = 4x - 20 + 3 rearrange
5. y = 4x -17 solve
A line is parellel to y=3x+2 and intersects the point (2,9). What is the equation of this parellel line
Answer: y= -3x
Step-by-step explanation:
Use the slope-intercept form to find the slope.
m = −3
To find an equation that is parallel to y = −3x + 2, the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula.
(0,0)
m = −3
Using the point-slope form
y − y1 = m (x − x1), plug in
m = −3, x1 = 0, and y1 = 0.
y − (0) = (−3) (x−(0))
Solve for y
y = −3x
Answer:
y=3x+3
Step-by-step explanation:
(2,9)
x=2
y=9
-Slot these numbers into the equation y=mx+c
-Solve for c
y=3x+c
9=3(2)+c (We have substituted y for 9 and x for 2)
-Solve
9=6+c
(rearrange)
c+6=9
c=9-6
c=3
We have found our y-intercept (c)
Add this value into the original equation (replace the other y-intercept with your new value)
y=3x+3
What is the difference
Answer:
4
Step-by-step explanation:
Ben has 21 votes and Scott has 17
21 - 17 = 4
?
Round to the nearest hundred
thousand.
4,821,766
11X - 3/6 = 5 Solve for X
Answer:
X = 1/2
Step-by-step explanation:
Find the third side in simplest radical form:
33
56
Answer:
65
Step-by-step explanation:
33^2 + 56^2=c^2
4225 = c^2
square root both
65 = c
What is the answer to this problem?
Answer:
5 2/3
Step-by-step explanation:
just trust me
Answer:
option b 5.6 is the correct answer
If test scores of 65 and 75 were added to the set, what would happen to the mean of 75,95,90,95,60,95,75,95,90
Answer:
82.7
Step-by-step explanation:
Answer: the answer is that the mean would become smaller.
Step-by-step explanation: if you have the original 9 values, the mean is 85.5 repeating. Adding 65 and 75 to the data set changes the mean to 82.72 repeating.
Hope this helps! Please give brainliest ;)
Help pleaseee pretty please I will mark you brainliest. NO LINKS OR I WILL REPORT YOU. PLEASE GIVE EXPLANATION.pretttty pleaseee this TIMED
Answer:
A, B, and E
Step-by-step explanation:
Those are correct.
Use the isosceles trapezoid below to
answer the following questions.
N
P
M
Q
Answer:
a, yes
b no
c yes
d no
Step-by-step explanation:
HELP IM LATE ON THIS! I WAS SUPPOSED TO DO IT YESTERDAY BUT IT WAS RAINING AND MY POWER WENT OUT!
Answer: 1/3 quart
Step-by-step explanation: since they both have the same denominator, you can just do 5-2=3. that gives you 3/9, which can be simplified by dividing both the numerator and denominator by 3 which equals 1/3.
Next Activity
Desiree M&Clay
Consumer Mathematics A: Calorie Proportions - Assess It
Contents
1 Course Ove
> Course Res
> Shopping
Nutrition
All changes saved
3. If 10 hot wings have 700 calories and Ben ate 25 hot wings at dinner, how many
calories did he eat?
> Lesso
Find the the measure of angle 5.
Answer:
Angle 5 would be 119 degrees.
Step-by-step explanation:
This is because the angle that is 61 degrees and angle 5 are both supplementary angles. Supplementary angles would add up to 180 degrees and would lie on the same side of the line. So 180 minus 61 is 119.
Write the coordinates of the vertices after a reflection across the line y = 4
A(-9,1) -> A’( )
B(-4,1) -> B’( )
C(0,4) -> C’( )
D(-5,4) -> D’ ( )
What is the volume of the composite figure?
Column I Column II Sin-1 1 / a. The number in Column I is greater. b. The number in Column II is greater. c. The two numbers are equal. d. The relationship cannot be determined using the given information.
Answer:
Col6umn is Column3 so Colum1n is Colum6n so=Column is Column2
Step-by-step explanation:4
Find the volume of a cylinder with a radius of 6cm and height of 8cm
Answer: 904.779
Step-by-step explanation:
v = pi x radius^2 x height
Answer:
904.78 cm^3
Step-by-step explanation:
The formula for volume of a cylinder is V = π r^2 h, and when you plug in your measurements you get the equation V = π × 6^2 × 8, which equals 904.78 cm^3
plss help its due in 2 days :(
A toy shop is manufacturing hollow plastic spheres. The outside diameter of the sphere is 6 inches and the thickness of material is 1 inch. The spheres are packaged in boxes of 8, and the density of the material is 3.25 g/in3. What is the weight of the box to the nearest gram?
Answer:
2069 grams
Step-by-step explanation:
Assume that the box itself is massless so the weight is only due to the spheres only. Calculate the volume of a solid sphere of radius 3 in:
Vout = (4/3)pi(3^3) = 36pi in^3
Now calculate the volume of a solid sphere of radius 2 in:
Vin = (4/3)pi(2^3) = (32/3)pi in^3
To calculate the volume of the hollow sphere, subtract Vin from Vout:
Vnet = Vout - Vin = (76/3)pi
Since the density of the plastic is 3.25 g/in^3, the mass of each hollow sphere is
m = (density) × Vnet = (3.25 g/in^3)×(76/3)pi
= 258.7 g
Since there are 8 spheres in a box, the total weight of the box is
M = 8m = 2069 grams
What is the value of the interior angle
Answer:
I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link: bit.[tex]^{}[/tex]ly/3gVQKw3
Step-by-step explanation: