Answer:
18 seconds
Step-by-step explanation:
Given the equation for height as a function of time expressed as
h(t) = -16t² - initial height, if initial height is 5,184ft, the expression will become;
h(t) = -16t² - 5,184
t is time in seconds
h(t) is height in feet
The height of the rope on the ground is zero. In order to calculate the amount of seconds it will take the piece of rope to hit the ground, we will substitute h(t) = 0 into the modeled equation as shown:
Since the body falls downwards (negative direction), initial height = -5184 ft
h(t) = -16t² - -(5,184)
0 = -16t² + 5,184
0+16t² = 5184
16t² = 5184
16t²/16 = 5184/16
t² = 324
t = √324
t = 18 seconds
Hence, it will take the rope 18seconds to hit the ground.
Answer:18 seconds
Step-by-step explanation:just did the assignment
Question 9
11 pts
The legs of a right triangle measure 89 centimeters and 38 centimeters.
How long is the hypotenuse in centimeters? Round to the nearest
hundredth if necessary.
Answer:
The answer is 96.8 cmStep-by-step explanation:
Since we have the legs of the right angled triangle we can use Pythagoras theorem to find the hypotenuse
That's
[tex] {h}^{2} = {a}^{2} + {b}^{2} [/tex]where
h is the hypotenuse
From the question
The legs of the right angled triangle are 89cm and 38 cm
So the hypotenuse is
[tex] {h}^{2} = {89}^{2} + {38}^{2} \\ {h}^{2} = 7921 + 1444 \\ h = \sqrt{9365} [/tex]h = 96.7729
We have the final answer as
96.8 cm to the nearest tenth
Hope this helps you
PLEASE HELP! A) 6,135º C B) 6,681º C C) 502º C D) 47º C
Answer:
[tex]\huge \boxed{\mathrm{47\° C}}[/tex]
Step-by-step explanation:
The velocity is given as 358 meters per second.
358 = 20√(273 + t)
Solve for t.
Divide both sides by 20.
17.9 = √(273 + t)
Square both sides.
320.41 = 273 + t
Subtract 273 from both sides.
47.41 = t
Round to nearest degree.
t = 47°C
sarah set up a lemonade stand and sold each glass for $1.25. write an algebraic expression to represent sarah's profit.
Answer:
Y=1.25M
Step-by-step explanation:
Y represents the total amount of money being earn
1.25 is how much 1 lemonade drink cost
M represents the number of lemonade that was sold
The amount of lemonade sold time's How much each lemonade drink cost shall give you the total amount of money earn.
warehouse A has 200 tons of coal and sells 15 tons every day. warehouse B has 80 tons and buys 25 everyday in how many days does a=b
Hey there! I'm happy to help!
Let's represent the number of days with x.
WAREHOUSE A
200-15x
WAREHOUSE B
80+25x
We want to find how many days it will take for the two warehouses to have the same amount of coal. Let's put these expressions into an equation to show that they are equal and see what x is.
200-15x=80+25x
We subtract 25x from both sides.
200-40x=80
We subtract 200 from both sides.
-40x=-120
We divide both sides by -40
x=3
Therefore, warehouse A and warehouse B will have the same amount of coal after 3 days.
Have a wonderful day! :D
for the data values below construct a 95 confidence interval if the sample mean is known to be 12898 and the standard deviation is 7719
Answer:
A 95% confidence interval for the population mean is [3315.13, 22480.87] .
Step-by-step explanation:
We are given that for quality control purposes, we collect a sample of 200 items and find 24 defective items.
Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;
P.Q. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample proportion of defective items = 12,898
s = sample standard deviation = 7,719
n = sample size = 5
[tex]\mu[/tex] = population mean
Here for constructing a 95% confidence interval we have used a One-sample t-test statistics as we don't know about population standard deviation.
So, 95% confidence interval for the population mean, [tex]\mu[/tex] is ;
P(-2.776 < [tex]t_4[/tex] < 2.776) = 0.95 {As the critical value of t at 4 degrees of
freedom are -2.776 & 2.776 with P = 2.5%}
P(-2.776 < [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] < 2.776) = 0.95
P( [tex]-2.776 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]{\bar X-\mu}[/tex] < [tex]2.776 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95
P( [tex]\bar X-2.776 \times {\frac{s}{\sqrt{n} } }[/tex] < [tex]\mu[/tex] < [tex]\bar X+2.776 \times {\frac{s}{\sqrt{n} } }[/tex] ) = 0.95
95% confidence interval for [tex]\mu[/tex] = [ [tex]\bar X-2.776 \times {\frac{s}{\sqrt{n} } }[/tex] , [tex]\bar X+2.776 \times {\frac{s}{\sqrt{n} } }[/tex] ]
= [ [tex]12,898-2.776 \times {\frac{7,719}{\sqrt{5} } }[/tex] , [tex]12,898+2.776 \times {\frac{7,719}{\sqrt{5} } }[/tex] ]
= [3315.13, 22480.87]
Therefore, a 95% confidence interval for the population mean is [3315.13, 22480.87] .
check my answers please?
Answer:
5
Step-by-step explanation:
Since, Left Hand Limit and Right Hand Limit at x = 2 are approximately equal to 5 at the point of discontinuity (x = 2), the limit of f(x) as x approaches 2 is 5.
(90) points and brainly! Sameen works at an office. During her lunch break, she rides her bicycle to her favorite sandwich shop and eats lunch at a local park. The graph below shows the distance she is from work over time. Select the statement that is true regarding Sameen's lunch break based on the graph. A Between 0 minutes and 6 minutes, Sameen's distance from work is constant. B Between 6 minutes and 9 minutes, Sameen's distance from work is decreasing. C Between 9 minutes and 27 minutes, Sameen's distance from work is 0 miles. D Between 27 minutes and 30 minutes, Sameen's distance from work is increasing.
Answer:
(B) Between 6 and 9 minutes, Sameen's distance from work is decreasing
Step-by-step explanation:
Looking at the graph, we want to make sure we are looking at the right axis.
The x-axis, the horizontal one, is minutes.
The y-axis, the vertical one, is distance from work.
We can see that while x is between 6 and 9 minutes, the graph slopes downwards. This signifies a decrease in distance from work.
So between 6 and 9 minutes, Sameen's distance from work is decreasing.
Hope this helped!
Answer:
Between 6 and 9 minutes, Sameen's distance from work is decreasing
Step-by-step
name the property illustrated by each statement (8x+3)+12=(8x+3)+12
Answer:
Reflexive property
Step-by-step explanation:
The statement says that some number is equal to itself.
That's the reflexive property.
The sum of two of the angles of a heptagon is 200ᵒ. If the remaining angles are equal, find the value of each of the remaining angles.
Answer: 140°
Step-by-step explanation:
Heptagon is a seven-sided polygon. So heptagon has 7 angles.
As known the sum of the angles in poligon is
N=180°*(n-2)
So N(7)=180°*(7-2)=900°
if the sum of 2 angles are 200° then the sum of residual 5 angles is
900°-200°=700°
The remaining 5 angles are equal so each of them is
∠α=700°:5=140°
Jacob charges $10 per hour to babysit and $60 to clean the house. Write the expression which represents Jacob's earning for cleaning one house and babysitting?
Answer:
60 + 10h
Step-by-step explanation:
Since cleaning the house is a flat fixed cost ($60 no matter how long it takes), you dont use a variable to find it. For baby sitting on the other hand, the cost of it is reliant on how long you do it ($10 for every hours). Therefore you need to use a variable (h).
I hope this helps!
-TheBusinessMan
The mean age of judges in Dallas is greater than 50.2 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis?
Answer:
There is insufficient evidence to support the claim that the mean age is greater than 50.2 years. i.e ( μ > 50.2)
Step-by-step explanation:
Given that:
The mean age of judges in Dallas is greater than 50.2 years.
If a hypothesis test is performed, then the null and the alternative hypothesis can be computed as follows:
The null hypothesis is that the mean age of the judges in Dallas is equal to 50.2
i.e
[tex]H_o : \mu =50.2[/tex]
The alternative hypothesis is that the mean age of the judges in Dallas is greater than 50.2
i.e
[tex]H_1 : \mu > 50.2[/tex]
Decision Rule: Fail to reject the null hypothesis.
The interpretation of this decision rule implies that:
There is insufficient evidence to support the claim that the mean age is greater than 50.2 years. i.e ( μ > 50.2)
f(x)=g(x)? What is the solution
Answer:
The solution of the equation f(x) = g(x) is the set of all x for which the graphs of f and g intersect. The solution of the inequality f(x) < g(x) is the set of all x for which the graph of f lies below the graph of g.
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
;)
write (n^3)^2 without exponents
Answer:
(n×n×n)(n×n×n)
Step-by-step explanation:
Expand the exponential function.
hope this helps :)
if 270kg of corn would feed 42 horses for 21 days, for how many days would 36okg of it feed 21 horses?
Hi!
To find this, multiply 42, 21 and 360 first:
317520
Now, multiply 21 and 270:
5670
Now, divide 317520 by 5670:
56 days
(I've had problems like these before, this is how my teacher taught me to solve them. If you have any more trouble, try to use these steps!)
Hope this helps!
rated Math (Ist quarter)
Which expression uses the distributive property to show equivalent expressions for this situation?
O 54 + 42 = (3)(18) + (6)(7)
54 + 42 = (9)(10) + 6
54 + 42 = 90 + 6
O 54 + 42 = 6(9 + 7)
Answer:
54+42=6(9+7)
Answer:
yes
Step-by-step explanation:
2 = (3)(18) + (6)(7)
54 + 42 = (9)(10) + 6
54 + 42 = 90 + 6
O 54 + 42 = 6(9 + 7)
Angles W and X are supplementary. If m∠W is 37°, what is m∠X?
Supplementary angles = 180
X = 180 - 37
X = 143
"Brad is trying to determine the Cp of a process. The USL is 10, the LSL is 2, and the standard deviation is 1. What is the Cp"
Answer:
1.33
Step-by-step explanation:
Given that:
Upper specification limit ( USL ) = 10
Lower specification limit ( LSL ) = 2
the standard deviation σ = 1
What is the Cp"
The Cp is the process capability ratio which can be expressed by the formula:
[tex]C_P = \dfrac{USL -LSL}{6 \times \sigma}[/tex]
[tex]C_P = \dfrac{10 -2}{6 \times 1}[/tex]
[tex]C_P = \dfrac{8}{6}[/tex]
[tex]C_P = \dfrac{4}{3}[/tex]
[tex]C_P =1.33[/tex]
(x-3) (x+9) need help asap
We will use the F.O.I.L method.
-multiplying the First terms,
-multiplying the Outer terms,
-multiplying the Inner terms,
-and multiplying the Last terms
So we have x² + 9x - 3x - 27 which simplifies to x² + 6x - 27.
f(x)= -3x+7 what is f(-20)?
Answer:
67
Step-by-step explanation:
Evaluate 7 - 3 x where x = -20:
7 - 3 x = -3 (-20) + 7
Hint: | Multiply -3 and -20 together.
-3 (-20) = 60:
60 + 7
Hint: | Evaluate 60 + 7.
60 + 7 = 67:
Answer: 67
3 days converted to seconds
Answer:259,200 seconds
Step-by-step explanation:
24 hours in one day
1 hour= 60 minutes
1 minute =60seconds
60x60=3,600
3,600x24=86,400 seconds
86,400x3(days)=259,200 seconds
Consider the function f(x) = log8 x. (a) What is the domain of f? (Enter your answer using interval notation.)
Answer:
The domain of f is equal to x = log8 x.
Step-by-step explanation:
How many pennies could you have if: When you break the pennies into groups of 2, you have 1 penny left over, AND when you break the pennies into groups of 3, you have 1 penny left over, AND when you break the pennies into groups of 5, you have 1 penny left over?
Answer:
31 pennies
Step-by-step explanation:
Given that:
Breaking the number of pennies into 2 groups, there is 1 penny left over.
Breaking the pennies into 3 groups, there is 1 penny left over.
Breaking the pennies into 5 groups, there is 1 penny left over.
Breaking the pennies into groups implies that the same number of pennies are in each group for each case. Since there is no restriction to the number of pennies in the groups for all cases, then the total number of pennies would be 31.
So that;
31 = 15 + 15 + 1 = 2 groups + 1
31 = 10 + 10 + 10 + 1 = 3 groups + 1
31 = 6 + 6 + 6 + 6 + 6 + 1 = 5 groups + 1
There are 31 pennies.
Which statements are true about x? Select three options
Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. The owner of a football team claims that the average attendance at games is over 523, and he is therefore justified in moving the team to a city with a larger stadium. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.
Answer:
There is no sufficient evidence to support the owner's claim that he average attendance at games is over 523
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 523[/tex]
Generally
The null hypothesis is [tex]H_o : \mu = 523[/tex]
The alternative hypothesis [tex]H_a : \mu > 523[/tex] ( Original claim )
Given in the question that the conclusion is failure to reject the null hypothesis
Then we can conclude that there is no sufficient evidence to support the owner's claim that he average attendance at games is over 523
Note : In every hypothesis test the null hypothesis must contain a equality sign and any other inequality sign
1 point
Jayden is making a chain from construction paper from red and green paper links. The
pattern of the links is red, red, green, green, green. If there are 30 links all together, how
many are red and green?
Which is the measure of the reference angle for 227 degrees ?
a.35 degrees
B.23 degrees
C.47 degrees
D43 degrees
Answer:
C. 47°
Step-by-step explanation:
The angle between the terminal ray of 227° and the nearest x-axis (the negative x-axis) is ...
227° -180° = 47°
The reference angle is 47°.
_____
In mathematical terms the reference angle is the minimum of the angle modulo 180° and the supplement of that angle.
227° modulo 180° = 47°
180° -47° = 133° . . . . supplement of 47°
min(47°, 133°) = 47° . . . the reference angle
-3 yz; use y = 3, and 2 - 2
Step-by-step explanation:
-3(3)(2).
-3(6).
=-18.
Based on the information provided in the graph, for wich of the following situations could you expect to have the greatest increase in salary?
A.Having a highschool diploma and getting an associate's degree
B.Having a bachelor's degree and getting a master's degree
C.Having a master's degree and getting a professional degree
D.Having an associate's degree and getting a bachelor's degree
Answer: your answer is D
Step-by-step explanation:
Match each verbal description to its corresponding expressio.
Verbal Description
Expression
the cube of the difference of 5 times x and
7 divided by the sum of 7 times x and 1
7 times the difference of 5 times x and 7 and
the sum of x and 1
the sum of 5 times the cube of x, 1, and
7 times x, divided by 5
the difference of 5 times the cube of x and
7 divided by 7 times the sum of x and 1
553 +75 + 1
558 +19
(51 – 7)3
78 +1
(51 - 7
715 + 1)
The+1) 7(51 – 7)(8 + 1)
Answer:
Step-by-step explanation:
The solutions to the answers are given below :
1) option c
2) option f
3) option b
4) option d
[tex]a)\frac{5x -7}{7(x+1)} \\\\\\b) 7(5x-7) (x+ 1 )\\\\\[/tex]
[tex]c)\frac{5x^3 + 7x +1}{5}[/tex]
[tex]d) \frac{5x-1 }{7(x+1)}[/tex]
An Expression is a mathematical term consisting of variables, connected using some operators.
Example : 2x + 3
where x is the coefficient of 2 and both the terms are joined using the addition operator.
The verbal description of the corresponding expression is:
1) The cube of the difference of 5 times x and divided by the sum of 7 times x and 1
ans.[tex]\frac{5x - 7}{7(x+1)}[/tex]
2) 7 times the difference of 5 times 6 and 7 and the sum of x and 1.
ans. [tex]7( 5x - 7 )( x+1)[/tex]
3) The sum of 5 times the cube of x , 1 and 7 times x , divided by 5 .
ans. [tex]\frac{5x^3 = 7x +1}{5}[/tex]
4) The difference of 5 times the cube of x and 7 divided by 7 times the sum of x and 1.
ans [tex]\frac{5x -7}{7(x+ 1)}[/tex].
Learn more about expression here :
https://brainly.com/question/28170201
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a muffin recipe calls for a ratio of 5 cups of flour to 2 cups of sugar. for each cup of sugar that is used how many cups of flour are needed
Step-by-step explanation:
2 cups of sugar =5 cups of flour
1 cup of sugar =x cups of flour
2x=5
x=5/2