If a team of minors drill a hole 50.4 m into a rock formation and drill at a steady rate of 2.8 m/min. how long does it take to drill the hole
Answer:
t = 18 minutes.
Step-by-step explanation:
We can find the time by using the following kinematic equation:
[tex] y_{f} - y_{0} = v_{0}t + \frac{1}{2}at^{2} [/tex]
[tex] \Delta y = v_{0}t + \frac{1}{2}at^{2} [/tex]
Where:
Δy: is the difference between the initial and the final height = 50.4 m
t: is the time
a: is the acceleration
v₀: is the velocity of the drill = 2.8 m/min
Since the speed of perforation is constant, the acceleration is zero so:
[tex]\Delta y = v_{0}t[/tex]
Then, by solving the above equation for "t" we have:
[tex] t = \frac{\Delta y}{v_{0}} = \frac{50.4 m}{2.8 m/min} = 18 min [/tex]
Therefore, it takes 18 minutes to drill the hole.
I hope it helps you!
Write the equation of a sine function that has the following characteristics.
Amplitude: 7 Period: 9π Phase shift: 1/4
Type the appropriate values to complete the sine function.
Answer:
[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]
Step-by-step explanation:
we want to figure out the equation of a sine function that has the following characteristics.
Amplitude: 7Period: 9π Phase shift: 1/4the standard form of sine function is given by
[tex] \displaystyle y = a\sin(bx-c)+d[/tex]
where:
a is the amplitudeb can be sorted out using the equation 2π/b=periodC refers to phase shiftFinding a and phase shift:
a and c is simply given which is
a=7C=¼finding b:
using the equation we acquire:
[tex]\dfrac{2\pi}{b}=9\pi[/tex]
solving the equation for b,we obtain:
b=2/9
finding d:
Since d Isn't mentioned, we would assume it 0
finding the equation:
substitute what we got:
[tex]\boxed{ \displaystyle y = 7\sin\left(\frac{2}{9}x-\frac{1}{4}\right)}[/tex]
and we're done!
Consider the following function y=5/3x+2
Answer:
y-2=5/3x
y-2/5=3x
Step-by-step explanation:
Please give your calculations too.
Answer:
1) number of boys in school is 48 [ Could be true ]
2) fraction of the boys in the school is = 6/6+7= 6/13 [False]
3) fraction of girls in school is 7/6+7=7/13 [Definitely true]
[tex]---------------[/tex]
hope it helps...
have a great day!!!
Ann races her bicycle for 58m. A wheel of her bicycle turns 29 times as the bicycle travels the distance. What is the diameter of the wheel
Answer:
0.637 m or 63.7 cm
Step-by-step explanation:
Formula
d = n * pi di
Givens
di = diameter and is unknown
n = 29 times
d = 58 meters
Solution
58 = 29 * 3.14 * di
2 = 3.14 * di
2/3.14 = di
d = 0.637 meters
or
d = 63.7 cm
1.) Solve the following systems of equations graphically. The solution is y=x+3 y= -x-5
key ans lang yan sana makatulong HAHAHA
What is one example of a rectangular prism with a volume of 64?
That's NOT 4x4x4 or 8x4x2!!!
Answer:
16 × 2 × 2
Step-by-step explanation:
64 = 2 × 2 × 2 × 2 × 2 × 2
=> 16 × 2 × 2
help with this math assignment
Use the standard algorithm to find the product of 125 x 16.
Ok
Answer:
2,000
Step-by-step explanation:
125 x 16 = 2000
Which point is located at (2, 3)? On a coordinate plane, point A is 3 units to the right and 2 units up. Point B is 2 units to the right and 2 units up. Point C is 2 units to the right and 3 units up. Point D is 3 units to the right and 3 units up. A B C D
Answer:
Point C
Point A is located at (3, 2)
Point B is located at (2, 2)
Point C is located at (2, 3)
Point D is located at (3, 3)
You have 2 positive numbers. One number is one-fifth of the other number. The difference between the two numbers is 132, find the numbers.
Let the larger number be x
The smaller number would be 1/5x
X - 1/5x = 132
Simplify:
4/5x = 132
Divide both sides by 4/5:
X = 165
1/5x = 1/5(165) = 33
The numbers are 165 and 32
What is the measurement of angle x
C is a vertical angle which the vertical side is corresponding to the vertical side of x°.
105°+54°+y°=180°
159°+y°=180°
y°=21°
Meaning, x=21°.
If a triangle has a center of dilation at the origin and a scale factor of two. if point he was at(-2,-3) what would point A’ would be.
Answer: Second option.
Step-by-step explanation:
First it is important to remember the definition of Dilation.
A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure, before the transformation) have the same shape, but their sizes are different.
In this case you know that the triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin.
According to the exercise, the point C has these coordinates:
Therefore, in order to find the coordinates of C', you need to multiiply the coordinates of the point C by the scale factor 2.
Then, you get that the coordinates of the point C' are:
Your company is considering offering 500 employees the opportunity to transfer to its new headquarters in Ottawa and, as personnel manager, you decide that it would be fairest if the transfer offers are decided by means of a lottery. Assuming that your company currently employs 100 managers, 200 factory workers, and 400 miscellaneous staff, find the following probabilities, leaving the answers as formulas.
a. All the managers will be offered the opportunity.
b. You will be offered the opportunity.
Answer:
a)
[tex]\frac{^{500}C_{400}}{^{700}C_{500}}[/tex]
b)
[tex]\frac{^{699}C_{499}}{^{700}C_{500}}[/tex]
Step-by-step explanation:
Given
The total number of opportunities to employees for transfer = 500
Company currently has 100 managers, 200 factory workers, and 400 miscellaneous staff
a) All the managers will be offered the opportunity
[tex]\frac{^{500}C_{400}}{^{700}C_{500}}[/tex]
b) You will be offered the opportunity
[tex]\frac{^{699}C_{499}}{^{700}C_{500}}[/tex]
Please help me on this for my quiz: If the point (2, -10) lies on the graph of a direct variation, which represents the direct variation equation?
Answer:
k = -5
Step-by-step explanation:
Direct variation formula:
y = kx
Given:
x = 2
y = -10
Work:
y = kx
-10 = 2k
k = (-10)/2
k = -5
A:Alternate interior angles
B:Corresponding angles
C:Consecutive interior angles
D:Vertical angles
relationship between v and x is C:Consecutive interior angles
The line AB is shown on the grid.
0%
6-
a) Find the gradient of a line
perpendicular to AB.
5-
3-
b) Find the equation of the line
perpendicular to AB and passing
through the midpoint of AB.
B В
+
Х
-B
LE
0
ab
А
2-
Answer:
1) The gradient of a line perpendicular to AB.→ [-2}
2) The equation of the line perpendicular to AB and passing
through the midpoint of AB. →[y=-2x+6]
[tex]---------[/tex]
hope it helps....
have a great day!!
Answer:
-2
Step-by-step explanation:
yep
Help me plz I suck at math
what is the midpoint of a segment with endpoints at (-4,-8) and (8,10)
Answer: Midpoint: (2, 1)
Step-by-step explanation:
Midpoint formula: ((x1 + x2)/2 , (y1 + y2)/2)
(-4 + 8)/2 = 2
(-8 + 10)/2 = 1
Answer: (2, 1)
interest rate 6% is:
I need answer for this question
Answer:
The answer should be D) 4x^ + x + 3
what shape is that? Please don't answer the question, i just need to know the shape.
Answer:
Rectangle.
Step-by-step explanation:
It has 4 sides.
Answer:
It is a Wedge
Step-by-step explanation:
Because if you were to compare it to a rectangle which it look like it is a 3D figure and it gets slightly skinnier at the top so it is indeed a wedge
Select the equation of a straight line that is parallel to the line 4y = 3x + 5.
Answer:
B)
Step-by-step explanation:
4y = 3x + 5 has a slope of 3/4
4y = 3x - 1 has a slope of 3/4
parallel lines have equal slopes
The equation of a straight line that is parallel to the line 4y = 3x + 5 is B. 4y = 3x - 1.
To find an equation of a straight line that is parallel to the given line 4y = 3x + 5, we need to identify the equation that has the same slope as the given line
The given line is in the form 4y = 3x + 5. We can rewrite this equation in slope-intercept form (y = mx + b) by dividing both sides by 4:
y = (3/4)x + 5/4.
The slope of the given line is (3/4).
To find a parallel line, we need to choose an equation with the same slope of (3/4). Among the options provided:
A. y = 3x + 5 - The slope of this line is 3, not (3/4), so it is not parallel.
B. 4y = 3x - 1 - This line has a slope of (3/4), making it parallel to the given line.
C. 3y = 4x - 3 - The slope of this line is (4/3), not (3/4), so it is not parallel.
D. 4y = x + 5 - The slope of this line is (1/4), not (3/4), so it is not parallel.
Therefore, the equation of a straight line that is parallel to the line 4y = 3x + 5 is B. 4y = 3x - 1.
To know more about parallel click here :
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If ∠A is a complementary angle of ∠B and ∠C is a complementary angle of ∠B, then which of the following statements is true?
Question 9 options:
A)
∠A + ∠C ≅ ∠B
B)
∠A ≅ ∠B
C)
∠A ≅ ∠C
D)
∠B ≅ ∠C
Answer:
A because its a complementary angle which has a angle which us added to 90 and a plus c =complementary
Answer:
Answer A is incorrect
Step-by-step explanation:
Just took the test
The amount of interest accrued on
a $7,000 loan with 6% interest after t years.
Answer:
$420t
Step-by-step explanation:
Given data
Principal= $7000
Rate= 6%
Time= t years
The expression for the amount is
Simple interest= PRT/100
Sustitute
Simple interest= 7000*6*t/100
Simple interest= 42000t/100
Simple interest= 420t
Hence the amount after t years is $420t
Y=-2x find Oder pairs
Solve the following problems. It may be helpful to set up an equation. The sum of two numbers is 13, the difference is 4. What are the numbers? pls help
Answer:
y = 4 1/2
x = 8 1/2
Step-by-step explanation:
x + y = 13
x - y = 4
substitution method: let x = 4+y
4+y + y = 13
2y = 9
y = 4 1/2
x = 8 1/2
There are 53 regular pencils in the box and some colored pencils in the box. There are a total of 84 pencils. How many colored pencils are there?
Draw a picture and solve vertically.
Answer:
I can't draw a picture for you! But I can give you the answer so maybe you can figure out a picture yourself. The answer is: 31
Step-by-step explanation:
If you have 84 total pencils and you know that 53 are regular pencils all you have to do is subtract 53 from 84. So you would do 84-53=31
So therefore 31 of the pencils are colored. Hope this helps!
Consider the following problem: The box fill weight of Frosted Flakes breakfast cereal follows a normal distribution with a mean of 9.75 ounces and a standard deviation of 0.27 ounces. A sample of 25 boxes filled this morning showed a mean of 9.85 ounces. At the 0.05 significance level, can we conclude that the mean weight is more than 9.75 ounces per box
Answer:
Yes, we can
Step-by-step explanation:
H0 : μ = 9.75
H1 : μ > 9.75
n = 25 ; xbar = 9.85 ; σ = 0.27
The test statistic:
T = (xbar - μ) ÷ (σ / √n)
T = (9.85 -9.75) ÷ (0.27 ÷ √25)
T = 0.1 ÷ 0.054
T = 1.85
We can obtain the Pvalue from the test statistic using the Pvalue calculator :
Pvalue at t score = 1.85 ; 24 = 0.038
If Pvalue < α ; Reject H0
α = 0.05
Since Pvalue < α ; We reject H0 and conclude that mean weight is more than 9.75 ounces per box
3 5/8 - 2 1/8=?
[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]
ASAP!!!!
Answer:
answer:
[tex]3 \frac{5}{8} - 2 \frac{1}{8} [/tex]
[tex] \frac{29}{8} - \frac{17}{8} [/tex]
[tex] \frac{29-17}{8} [/tex]
[tex] \frac{12}{8} [/tex]
[tex] \frac{3}{2} [/tex]
[tex] 1\frac{1}{2} [/tex]
is your answer.