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!
Which fraction is the product of 5/4 x 6?
Answer:
15 x /2
Step-by-step explanation:
Hector's income is 78,000 dollars per year (52 weeks).
How much money does he make weekly?
Answer:
1,500.00
Step-by-step explanation:
Assuming 52 weeks in a year, you would make $1,500.00 per week.
Answer:
$1500
Step-by-step explanation:
Here, the question asks what hector's income per week is.
- Keep in mind that if you are asked what something is per unit, you will most likely need to divide. Example: This problem. See below for answer and explanation.
- If a question asks what something is of a unit, you will most likely need to multiply. Example: 1/4 of a pizza with 4 slices (1 slice). To solve this, you will have to multiply 1/4 to 4. But never mind this, let's focus at this problem.
The bullet points above essentially explain what you have to do here. To find Hector's income, you have to do 78000/52. The answer to this is 1,500 ($1500).
I hope this helped :)
Can some one please help me and explain how you got the answer?
Answer:
Yes number 5 is, they are proportional because y is coresponding to x by multiplying by 1/5
No number 6 isn't, you can't go from 3 to 1 and 7 to 3
Answer:
5. Proportional & 6. Not Proportional
Step-by-step explanation:
Proportional relationships = x and y increase at the same rate
5. all increases by x2
6. increases at different rates
Will give the brainliest answer and 20 points to anyone who can give a complete answer and not a scam link or a joke answer or begging for points (those 3 types of answers will be reported)
A grocery store manager notices that this month her store sold a total of 571 gallons of ice cream, which represents a decrease of 18% from last month. How much ice cream did the store sell last month? Round your answer to the nearest integer.
The store sold ____________ gallons of ice cream last month.
Answer:
673.8
Step-by-step explanation:
Which of the following is most likely the next step in the series?
Answer:
Its D
Step-by-step explanation:
multiplying and simplify radicals!
if u get it right I’ll give brainliest (show math pls!!!)
I would rlly appreciate it if y’all help me! :)
Answer:
10√5 - 5√2
or
5(2√5 - √2)
Step-by-step explanation:
Given:
2√5(5 - 5√5)
Required:
Multiply and simplify
Solution:
2√5(5 - 5√5)
Apply distributive property by multiplying each term in the bracket by 2√5
2√5*5 - 2√5*5√5
2*5√5 - 2*5√5*√5
10√5 - 10√25
10√5 - 10*5
10√5 - 50
10√5 - (25*2)
10√5 - 5√2
Or
5(2√5 - √2)
How would you write the equation with a slope of 2/3 and a y-intercept of -3 in slope- intercept form
y=2/3x-2
Explanation:
The equation of a line can be written as y=mx+c
m=slope and c = y-intercept
The point at the x−intercept has coordinates (-3,0)
In y=mx+c
0=2/3(3)+c
0=2+c
-2=c
The equation is y=2/3x-2
Answer:
[tex] y = \frac{2}{3} x - 3[/tex]
Step-by-step explanation:
Slope (m) = 2/3
y-intercept (b) = - 3
Equation of line in slope intercept form is given as:
[tex] y = mx + b[/tex]
Plug the values of m and b in the above equation, we find:
[tex]y = \frac{2}{3} x + ( - 3) \\ \\ y = \frac{2}{3} x - 3[/tex]
3/10 of the beads in a jar are red, the rest are blue if there are 500 more blue beads than red, how many beads are together?
Answer:hope it helps.
Step-by-step explanation:
2. Bart and Jimmy's Ice Cream Shop are designing a new logo for their company. The logo is shown
below. What is the area of Bart and Jimmy's new logo?
A 88.26 cm?
B 74.13 cm
C 58.26 cm
D 44.13 cm
HURRY
Answer:
Marie Skłodowska-Curie
Polish chemist and pioneer in the field of radioactivity. First woman to become a professor at the University of Paris.
^ po polsku być powinno
Kto Polska?
Ethan purchased a new cell phone for $75.00. The costs of the phone is included in his first month's bill. His cell phone plan charges $0.06 for each minute used.
if Ethan has $90.00 to spend on his first month's bill, what is the maximum number of minutes he can use?
A. 80 minutes
B. 250 minutes
C. 1,250 minutes
D. 1,500 minutes
Answer:1,250
Step-by-step explanation:
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17. A randomly selected group of 35 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 116.8. If the organization's claim is correct, what is the probability of having a sample mean of 116.8 or less for a random sample of this size
Answer:
0.3372 = 33.72% probability of having a sample mean of 116.8 or less for a random sample of this size
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The mean IQ score of its members is 118, with a standard deviation of 17.
This means that [tex]\mu = 118, \sigma = 17[/tex]
Sample of 35:
This means that [tex]n = 35, s = \frac{17}{\sqrt{35}}[/tex]
What is the probability of having a sample mean of 116.8 or less for a random sample of this size?
This is the pvalue of Z when X = 116.8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{116.8 - 118}{\frac{17}{\sqrt{35}}}[/tex]
[tex]Z = -0.42[/tex]
[tex]Z = -0.42[/tex] has a pvalue of 0.3372
0.3372 = 33.72% probability of having a sample mean of 116.8 or less for a random sample of this size
Help please ?
Write a quadratic equation in standard form with the given root(s) -5,1/2
Answer:
2x^2+9x-5
Step-by-step explanation:
(X+5)(x-1/2)
x^2-1/2x+5x-5/2
x^2+9/2x-5/2
multiply through by 2
2x^2+9x-5
[tex]if x^2 = 17x + y \: and \: y {}^{2} = 17y + x \: then \: find \sqrt{x {?}^ + {y { }^{2} + 1 } } [/tex]
Answer:
Bro wat
Step-by-step explanation:
add 2 please add
[tex]2 \frac{3}{4} + 5 \frac{4}{5} = [/tex]
Answer:
Step-by-step explanation:
19/4 + 29/5
2.75 + 5.8
= 8.55
I need the answer don’t scam with a link
Answer this????????????
Answer:
[tex]a + b = 8 \\ 3a - 4b = 3 \\ 4a + 4b = 32 \\ 3a - 4b = 3 \\7a = 35 \\ (a = 5 )\: and \: (b = 3)[/tex]
Can someone help me with this, please!!!
Answer:
The answer is C
Step-by-step explanation:
Both triangles are very similar
write the first five terms of the sequence an=3n^2
Answer:
2,1,0 is the sequence of its terms
Please help me with this i need a real answer not tjose file things
Answer:
c
Step-by-step explanation:
Graph triangle JKL and its image after a reflection in the line x=2 J(1,-1), K(3,0), L(0,-4)
Answer:
I need more information to help you on this question.
Step-by-step explanation:
The points after image reflection in the line x = 2 will be k'(1, 0), L'(4, -4) and J'(3, -1).
What is a graph?In math, graph science is the theory of geometric structures called graphs that are used to represent pairwise different objects. Vertices—also known as nodes or points—that are joined by edges make form a network in this sense.
Undirected graphs, where edges connect two vertices equally, and focused therapy, where edges connect two vertices unevenly, are distinguished.
As per the given information in the question,
Here mirror (x = 2) is vertical, hence only x-coordinate changes vertical distance from x-axis will not change.
For point k(3, 0)
It is one unit right side or x = 2. So, its image point will be one unit left side that is k'(1, 0).
For point L(0, -4)
It is two unit left side, so L' will be 2 unit right side of x = 2, so the point will be L'(4, -4)
Similarly, point J(1, -1) will become J'(3, -1).
To know more about Graph:
https://brainly.com/question/17267403
#SPJ2
A major traffic problem in the Greater Cincinnati area involves traffic attempting to cross the Ohio River from Cincinnati to Kentucky using Interstate 75. Let us assume that the probability of no traffic delay in one period, given no traffic delay in the preceding period, is 0.85 and that the probability of finding a traffic delay in one period, given a delay in the preceding period, is 0.75. Traffic is classified as having either a delay or a no-delay state, and the period considered is 30 minutes.
a. Assume that you are a motorist entering the traffic system and receive a radio report of a traffic delay. What is the probability that for the next 60 minutes (two time periods) the system will be in the delay state? Note that this result is the probability of being in the delay state for two consecutive periods. If required, round your answer to three decimal places.
b. What is the probability that in the long run the traffic will not be in the delay state? If required, round your answers to three decimal places.
Answer:
a. 0.563 = 56.3% probability that for the next 60 minutes (two time periods) the system will be in the delay state.
b. 0.625 = 62.5% probability that in the long run the traffic will not be in the delay state
Step-by-step explanation:
Question a:
The probability of finding a traffic delay in one period, given a delay in the preceding period, is 0.75.
The system currently is in traffic delay, so for the next time period, 0.75 probability of a traffic delay. If the next period is in a traffic delay, the following period will also have a 0.75 probability of a traffic delay. So
0.75*0.75 = 0.563
0.563 = 56.3% probability that for the next 60 minutes (two time periods) the system will be in the delay state.
b. What is the probability that in the long run the traffic will not be in the delay state? If required, round your answers to three decimal places.
If it doesn't have a delay, 85% probability of continuing without a delay.
If it has a delay, 75% probability of continuing with a delay.
So, for the long run:
x: current state
85% probability of no delay if x is in no delay, 100 - 75 = 25% if x is in delay(1-x). So
[tex]0.85x + 0.25(1 - x) = x[/tex]
[tex]0.6x + 0.25 = x[/tex]
[tex]0.4x = 0.25[/tex]
[tex]x = \frac{0.25}{0.4}[/tex]
[tex]x = 0.625[/tex]
0.625 = 62.5% probability that in the long run the traffic will not be in the delay state
Solve the inequality |2x - 28] > 32
Answer:
X>30
Step-by-step explanation:
Well the brackets or parethesis or absolutvalue sign thingy doens’t ,matter. Out of all the signs that won’t do anything at all.
Solve it normally
add 28 on both sides
2x>60
60/2=30
x>30
Answer:
Answer should be...
2x - 28 > 32
ADD BY BOTH SIDES (NON-VARIABLES)
+ 28 + 28
2x > 60
DIVIDE BY VARIABLE NUMBER (2)
2x/2 > 60/2
x > 30
At a middle school, 24 of the 144 students speak Vietnamese. What is the ratio of students that do not speak Vietnamese to students who speak Vietnamese?
Answer:
1:6
Step-by-step explanation:
24 and 144 are divisible by 6. Do the math, it comes out as 1:6.
24:144 = 1:6
Please help with these questions
Answer:
...... ....... ........
I need help asap again pls help me io needd help plzzzzzzzzzzzzzz
Answer: isosceles
equilateral is all sides are the same
scalene is all sides dif
isosceles is at least two sides the same
solve the inequality y + 7/10 < 2
Answer:
y<13/10
Step-by-step explanation:
Erin has 4 cards, one with the letter A, one with the letter B, one with the letter C, and one with the letter D. She places the cards in a row in random order.
What is the probability that either the words BAD or CAB will appear as part of the row?
Answer:
P = 1/6
Step-by-step explanation:
We have 4 places where we can put the cards.
Let's count the number of possible outcomes for each place.
In the first place, we can put one of 4 cards.
in the second place, we can put one of 3 cards (because there is already one card in the first place)
In the third place, we can put one of 2 cards
In the last place, we can put one of one cards.
The total number of different combinations is the product between the number of options for each place, then we have:
C = 4*3*2*1 = 24
Now we need to count the number of combinations such that the words BAD or CAB appear.
Those are:
BADC
CBAD
CABD
DCAB
4 outcomes out of 24.
Then the probability will be equal to the quotient between the number of outcomes where one of these words appears (4) and the total number of possible outcomes (24)
The probability is:
P = 4/24 = 1/6
The probability would be 16.7%
Ralphie's dad has a nutritionist who instructed him to consume less than 2,163 calories per day. He has already consumed 1,503 calories today and wants to eat some fruit bars that are 66 calories each. Which of the following inequalities could be used to solve for x, the number of fruit bars Ralphie's dad can eat without going over his calorie allotment?
Answer:
Ralphie's dad can eat 8 fruit bars without going over his calorie allotment.
Help me with this question please