Answer:
vol = 6.23 cm3
Step-by-step explanation:
dia = 1.26 cm
length = 5.00 cm
vol = area * L
vol = (pi * 1.26² / 4 ) * 5
vol = 6.23 cm3
State sales tax is 3%. How much would you pay on a $246 pair of shoes?
Round your answer to the nearest cent.
Answer:
Step-by-step explanation:
246(.03)= 7.38
246+7.38= $253.38
Help me pls pls pls pls pls pls
Answer:
72 inches
Step-by-step explanation:
if she is making a cake for 18 people and each person is eating 2 slices then she will need 36 pieces of cake but each piece is 2 inches long so that must mean that the cake has to be 72 inches
Tublu buys a cylindrical water tank height 1.4 M and diameter 1.1 M to catch rainwater off his roof.
Complete Question:
Tublu buys a cylindrical water tank of height 1.4m and diameter 1.1m to catch rainwater off his roof. He has a full 2 liters tin of paint in his store and decides to paint the tank(not the base). If he uses 250ml to cover 1m2, will he have enough paint to cover the tank with one layer of paint? Take pie as 3.142
Answer:
Yes. It will be enough to cover the tank with 1 layer of paint. The tank requires 1.21 liters of paint.
Step-by-step explanation:
Given:
Height of cylindrical tank (h) = 1.4m
Diameter = 1.1m (radius = ½ of 1.1 = 0.55 m)
Litres of paint available = 2 liters
Rate of usage of paint = 250 ml to 1 m²
π = 3.142
Required:
Determine if the available 2 liters of paint would be enough for the painting
Solution:
Step 1: calculate the curved surface area of the cylindrical tank
Curved surface area (CSA) = 2πrh
= 2*3.142*0.55*1.4
= 4.84 m²
Step 2: Calculate how many liters of paint is required to paint the cylindrical tank having a curved surface area of 4.84 m²
If 1 m² requires 250ml (0.25 liters) of paint,
4.84m² area will require 4.84*0.25 liters
= 1.21 liters of paint.
Since 2 liters of paint is available, it means the paint will be more than enough to cover the tank with 1 layer of paint.
A rectangular box has a base that is 4 times as long as it is wide. The sum of the height and the girth of the box is 200 feet. (a) Express the volume V of the box as a function of its width w. Determine the domain of V (w).
Answer: V(W) = (1/3)*(*W^2*800ft - 8W^3) and the domain is 0 < W < 100ft.
Step-by-step explanation:
The dimensions of the box are:
L = length
W = width
H = heigth.
We know that:
L = 4*W
And the girth of a box is equal to: G = 2*W + 2*H
then we have:
2*W + 2*H + H = 200ft
2W + 3*H = 200ft
Then we have two equations:
L = 4*W
2W + 3*H = 200ft
We want to find the volume of the box, which is V = W*L*H
and we want in on terms of W.
Then, first we can replace L by 4*W (for the first equation)
and:
2*W + 3*H = 200ft
3*H = 200ft - 2*W
H = (200ft - 2*W)/3.
then the volume is:
V(W) = W*(4*W)*(200ft - 2*W)/3
V(W) = (1/3)*(*W^2*800ft - 8W^3)
The domain of this is the set of W such that the volume is positive, then we must have that:
W^2*800ft > 8W^3
To find the maximum W we can see the equality (the minimum extreme is 0 < W, because the width can only be a positive number)
W^2*800ft = 8W^3
800ft = 8*W
100ft = W.
This means that if W is equal or larger than 100ft, the equation gives a negative volume.
Then the domain is 0 < W < 100ft.
Suppose you live in a town with a population of 25,000 where the municipal waste is sent to its own local landfill. If each resident generates 3 lbs. of trash per day, how many pounds of waste are sent to the landfill each day
Answer:
75000lb
Step-by-step explanation:
There are 25000 residents. Times it by the 3lb of waste per person and that's how much waste is made from 25000 residents.
Answer:
Step-by-step explanation:
A plane descends 1,200 feet then it descends 500 feet what is the answer
Answer:
1700 ft
Step-by-step explanation:
I think you may have read that question wrong, cause the way you worded made it about to be simple addition, and one of the descends should probably be an ascend.
Answer:
1,700 ft
Step-by-step explanation:
A state lottery randomly chooses 4 balls numbered from 1 through 37 without replacement. You choose 4 numbers and purchase a lottery ticket. The random variable represents the number of matches on your ticket to the numbers drawn in the lottery. Determine whether this experiment is binomial. If so, identify a success, specify the values n, p, and q and list the possible values of the random variable x.Is the experiment binomial?A. Yes, there are a fixed number of trials and the trials are independent of each other.B. No, there are more than two outcomes for each trial.C. Yes, the probability of success is the same for each trial.D. No, because the probability of success is different for each trial.
Answer:
A) Yes, there are a fixed number of trials and the trials are independent of each other.
Sample size 'n' = 37
probability of success p = 0.1081
q = 0.8919
Step-by-step explanation:
Explanation:-
Given data we will observe that
There are a fixed number of trials and the trials are independent of each other.
Given a state lottery randomly chooses 4 balls numbered from 1 through 37 without replacement.
Given size 'n' = 37
The probability that a state lottery randomly chooses 4 balls numbered from 1 through 37 without replacement.
Proportion
[tex]p = \frac{x}{n} = \frac{4}{37} = 0.1081[/tex]
q = 1 - p = 1 - 0.1081 = 0.8919
Final answer:-
Sample size 'n' = 37
p = 0.1081
q = 0.8919
Which of the following is the rule for rotating the point with coordinates (x,y), 180° clockwise about
the origin?
Answer:
A. (x, y) ⇒ (-x, -y)
Step-by-step explanation:
Rotation 180° in either direction is equivalent to reflection across the origin, and/or reflection across both axes (in either order). It negates both coordinates.
(x, y) ⇒ (-x, -y) . . . . rotation 180°
Brainliest for whoever gets this correct! What is the least common denominator of the rational expressions below?
Answer:
3x³(x + 5)
Step-by-step explanation:
1/x² - 4/(3x² + 15x)
Factor 3x² + 15x.
3x² + 15x
3x(x + 5)
Find the least common denominator.
(1 × 3x(x + 5))/(x² × 3x(x + 5)) - (4 × x²)/(3x² + 15x × x²)
(3x(x + 5))/(3x³(x + 5)) - (4x²)/(3x³(x + 5))
The least common denominator is 3x³(x + 5).
Answer:
The least common denominator is 3x^2(x+5)
Given that Justin is collecting data on reaction time, what type of data is he working with?
a. qualitative
b. discrete quantitative
c. continuous quantitative
d. none of the above
Answer:
The correct option is (c)
Justin is working with continuous quantitative type of data.
Step-by-step explanation:
We are given that Justin is collecting data on reaction time.
The reaction time is obtained through measurements and it can take any value within a range therefore, it falls in the category of continuous data.
Moreover, since reaction time can be measured thus have numerical value therefore, it is a quantitative type of data.
Therefore, we can conclude that Justin is working with continuous quantitative type of data.
Other examples of continuous quantitative type of data are
measuring height
measuring temperature
Each week a person works from 8.00 a.m. to 12:30 p.m. on 6 days and from 2 p.m. to 5:30 p.m. on four days the rate of pay is 595 Naira per hour what is the person's total weekly wage.
Answer: 24395 naira
Step-by-step explanation:
8:00 to 12:30 is 4.5 hours.
6 × 4.5=27 hours
2:00 to 5:30 is 3.5 hours
4 × 3.5 = 14 hours
Total hours 14+27=41
Multiply by rate: 595 × 41 = 24395 Naira for that week.
The Venn diagram shows the number of employers
who ranked skills important for careers in their field.
C represents communication, T represents technical
skills, and M represents the ability to handle money
How many employers ask that employees be skilled in
communication and handling money?
47
50
67
86
The correct answer is A. 47
Explanation:
A Venn Diagram is a type of graph used to represent numerical data by using overlapping circles. Additionally, each circle represents a category or collection, and circles overlap to show the relationships between categories. In this way, the blue circle C represents all employers that consider communication important, while the yellow circleT represents those that consider technology important and the green circle M those that consider management of money important.
In this context, 22 employers consider both management of money and communication important skills (overlapping between C and M), and 25 consider management of money, technology and communication important (overlapping between C, T, and M), which means there is a total of 47 employers who consider communication and money management important (22+25 = 47)
Answer:
A 47
Step-by-step explanation:
edge 2020
A bank loaned out $20,000, part of it at the rate of 6 % per year and the rest at 16 % per year. If the interest received in one year totaled $1500, how much was loaned at 6 %?
Answer:
$1,020
Step-by-step explanation:
0.06x + 0.16(20,000 - x) = 1500
Which ordered pair is a solution of this equation?
-2x + 9y = -26
(-4,-4)
(4,4)
(-4,-5)
(-5,-4)
Select the proper reason if this
statement is provided as a fact at the
beginning of a proof.
Solve the system of equations. {y=30x+10y=5x2−25 Enter your answers in the boxes.
Answer:
Step-by-step explanation:
Given the system of equations y=30x+10 y=and 5x²−25, since both functions are written in terms of a varaible y, we will equate the two functions to gether and firt alculate the value of x as shown;
30x+10 = 5x²−25,
Equating the expression to zero;
5x²−25-30x-10 = 0
5x²−30x-25-10 = 0
5x²−30x-35 = 0
Dividing through by 5;
x²−6x+7 = 0,
On factoring;
x = -b±√b²-4ac/2a
a = 1, b = -6 and c = 7
x = 6±√(-6)²-4(1)(7)/2(1)
x = 6±√36-28/2
x = 6±√8/2
x = 6±2√2/2
x = 3±√2
x = 3+√2 or 3-√2
Substituting x = 3+√2 into y = 30x+10
y = 30(3+√2 ) + 10
y = 10(3(3+√2)+1)
y = 10(9+1+3√2)
y = 10(10+3√2)
A normally distributed population of package weights has a mean of 63.5 g and a standard deviation of 12.2 g. XN(63.5,12.2) a. What percentage of this population weighs 66 g or more
Answer:
The percentage is %z [tex]= 41.9[/tex]%
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 63.5 \ g[/tex]
The standard deviation is [tex]\sigma = 12.2 \ g[/tex]
The random number is x = 66 g
Given the the population is normally distributed
The probability is mathematically represented as
[tex]P(X > 66 ) = P(\frac{X - \mu }{\sigma} > \frac{x - \mu }{\sigma } )[/tex]
Generally the z-score for this population is mathematically represented as
[tex]Z = \frac{ X - \mu}{ \sigma}[/tex]
So
[tex]P(X > 66 ) = P(Z > \frac{66 - 63.5 }{12.2 } )[/tex]
[tex]P(X > 66 ) = P(Z > 0.2049 )[/tex]
Now the z-value for 0.2049 from the standardized normal distribution table is
[tex]z = 0.41883[/tex]
=> [tex]P(X > 66 ) = 0.41883[/tex]
The percentage is
% z [tex]= 0.41883 * 100[/tex]
%z [tex]= 41.9[/tex]%
X+40/100*x=60 What is x?
Answer:
x = 300/7Step-by-step explanation:
x + 40/100 × x = 60
x + 40/100x = 60
x + 0.4x = 60
Combine like terms.
1.4x = 60
Divide both sides by 1.4.
x = 42.857143
x = 300/7
Determine whether each pair of triangles is similar. Justify your answer.
S
18
00
R
9
P
16
T
yes; AQRP ~ ASRT by SAS Similarity
yes; AQRP ~ ATRS by SAS Similarity
yes; AQRP - ATRS by ASA Similarity
No; The corresponding sides are not proportional.
Answer:
Option (2)
Step-by-step explanation:
By the theorem (SAS) of similarity,
"If two sides of one triangle are proportional to the corresponding sides of another triangle and the included angles in both the triangles are equal then both the triangles are similar."
It's given in the figure attached,
[tex]\frac{QR}{TR}=\frac{PR}{RS}[/tex]
[tex]\frac{8}{16}=\frac{9}{18}[/tex]
[tex]\frac{1}{2}=\frac{1}{2}[/tex]
And m∠QRP ≅ m∠TRS
Therefore, corresponding sides of ΔQRP and ΔTRS will be similar.
Option (2) will be the answer.
Find the missing length indicated. x=
Answer: x = 120
Step-by-step explanation:
Here we have 3 triangles, one big and two smaller ones, one at the left and other at the right.
Now, the right sides is shared by the right smaller triangle and the big triangle, if this length is Z, we have that (using the angle in top of it, A, such that 64 is adjacent to A.)
Cos(A) = 64/Z
Cos(A) = Z/(64 +225)
We can take the quotient of those two equations and get:
[tex]1 = \frac{64*(64 + 225)}{Z^2} = \frac{18496}{Z^2}[/tex]
Then:
Z = √(18,496) = 136.
now, we have that for the smaller triangle one cathetus is equal to 64 and the hypotenuse is equal to 136.
Then, using the Pythagorean theorem:
64^2 + x^2 = 136^2
x = √(136^2 - 64^2) = 120
1a. A deep-sea diver is at sea level. He submerges 15 feet per minute,
How many feet below sea level is he after submerging for 10 minutes? First question.
Second question,Then write an integer representing the deep-sea current location.
PLZZZ answer this correctly and i give you a brainliest!!!
Answer:
150, 15x
Step-by-step explanation:
After ten minutes he will be 15 * 10 = 150 feet below sea level.
We can call the number of minutes the diver has been underwater for as x so the integer is 15 * x = 15x.
Problem of the Day
The tortoise and the hare were arguing: who's the fastest? The tortoise boasted he
could swim 220 miles in 10 hours. The hare bragged he could hop 90 miles in 2 hours.
But who is faster? How can you tell?
Answer:
hare
Step-by-step explanation:
Their average rates are ...
tortoise: (220 mi)/(10 h) = 22 mi/h
hare: (90 mi)/(2 h) = 45 mi/h
The hare has a faster speed than the tortoise.
What expression is equivalent
Answer:
Answer is 4
Step-by-step explanation:
It is not 1 or 2 right off the bat
3 is not right
how many liquid cups are in 315 grams?
315 gr = _____ cups
Answer:
1.33 cups
Step-by-step explanation:
1 cup = 201 g
Answer:
1.33 cups
Step-by-step explanation:
because 1 cup is equivelent to 203grams
Suppose that a tunnel is dug through the center of the earth. You stand on a tower 100 m tall and drop a 3-kg rock into the tunnel. What is the frequency of the resulting harmonic motion?
Answer:
The frequency of the resulting harmonic motion is 0.000219 Hz
Step-by-step explanation:
We are going to calculate the time it takes for one single wave ocillation.
Frequency and the time taken to finish a single wave oscillation are inversely proportional. The formula for calculating frequency when given the time taken to complete a wave cycle is written as: f = 1 / T
In this formula, f represents frequency and T represents the time period or amount of time required to complete a single wave oscillation.
I consider the initial speed to be zero, because it is of no significance compared with the free fall into the earth, through the earth and back again.
Given from Wikipedia:
The diameter of the earth is 1.2742 * 10⁴ km which is 1.27 * 10⁷ m
2 times the radius = diameter, so the radius of the earth = (1.27 * 10⁷ m) /2 = 6.4 * 10⁶ m
radius earth = r
r = 6.4 * 10⁶ m
Now imagine the tunnel and the free fall.
1. Initially the rock has no speed.
2. Due to the gravitational accelleration, the rock will increase it's speed every second by a factor of 9.8.
3. The Rock gains speed untill it reached the centre of the earth. By then it will have reached it's maximum speed and it has travelled the distance r !
4. After this moment, the Rock will be slowed down because of the negative accelleration...
After it has travelled from the centre of the earth to the other end of the earth, it will have stopped completely, and again passing the distance r.
5. Now at the other end of the earth there is the same initial situation as described at point 1, only the Rock has travelled the distance equal to the diameter of the earth, (exactly 2 times r).
So basically, the samething happens once more, only this time it starts exactly from the other end of the earth...
6. Initially the rock has no speed.
7. Due to the gravitational accelleration, the rock will increase it's speed every second by a factor of 9.8.
8. The Rock gains speed untill it reached the centre of the earth. By then it will have reached it's maximum speed.
9. By now the Rock will be slowed down because of the negative accelleration... It is moving towards the initial starting point...
After it has travelled from the centre of the earth to the other end of the earth, it will have stopped completely.
10. Now finally the Rock is exactly at the starting position.
In reality there will have been some loss of speed due to friction, so the Rock will be slightly lower then the 100 m above the ground.
let's calculate the time it takes to free fall for the distance r.
initial speed =0 and after 6.4 * 10⁶ m it's speed will be maximum. We need to find out how much time passes before that distance is passed.
r = v*t + 0.5*a*t²
r = 0 + 0.5*a*t²
0.5*a*t² = r
t² = r / ( 0.5 * a )
t² = 6.4 *10⁶ / ( 0.5 * 9.8 )
t² = 1.306 * 10 ⁶
t = 1142.86 s
Now please confirm that in order for the Rock to move back to the initial starting point it has to travel 4 times as much time. It has to travel r to centre of the earth then another r to travel to to the other side of the earth, and back again. So indeed 4 times r.
The time it will take must be the same as 4 * 1142.86 s
now this is the time of one single wave ocillation.
Since T = 4571.43 s
f = 1 / 4571.43
f = 0.00021874993164 Hz
The frequency of the resulting harmonic motion is 2.19 *10-4
The frequency of the resulting harmonic motion is 0.000219 Hz
Given f(x)=3x and g(x)=1/x+3 which value is in the domain of f(g)
Answer:
8 lies in the domain of f(g)
How to solve this question
Answer:
BC = 3.6
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{BC}{DE}[/tex] = [tex]\frac{AC}{AE}[/tex] , substitute values
[tex]\frac{BC}{1.2}[/tex] = [tex]\frac{4.5}{1.5}[/tex] ( cross- multiply )
1.5 BC = 5.4 ( divide both sides by 1.5 )
BC = 3.6
I need help with question 4.
Answer:4
Step-by-step explanation:
9-5 = 4
hope this helped!
<!> Brainliest is appreciated! <!>
Answer:
4
Step-by-step explanation:
let the question mark be denoted as x.
x+5=9
x=9-5
x=4.
Aphrodite took out a 30-year loan from her bank for $170,000 at an APR of
7.2%, compounded monthly. If her bank charges a prepayment fee of 6
months' interest on 80% of the balance, what prepaymeant fee would
Aphrodite be charged for paying off her loan 12 years early?
A. $3246.74
B. $4078.20
C. $4895.83
D. $4921.46
Answer:
A. $3246.74
Step-by-step explanation:
The monthly payment can be found from the amortization formula.
A = P(r/n)/(1 -(1 +r/n)^(-nt))
where P is the principal amount, r is the annual rate compounded n times per year for t years.
Filling in the values, we compute the monthly payment to be ...
A = $170,000(.072/12)/(1 -(1 +.072/12)^(-12·30)) = $1153.94
__
The remaining balance after t years will be ...
B = P(1 +r/n)^(nt) -A((1 +r/n)^(nt) -1)/(r/n)
For the given initial principal and the computed payment, after 18 years, the balance will be ...
B = $170000(1 +.072/12)^(12·18) -$1153.94((1 +.072/12)^(12·18) -1)/(.072/12)
B = $111,054.71
The prepayment penalty appears to be ...
(r/2)(0.80B) = (.072/2)(0.80)($111,054.71) = $3,198.38
The closest listed answer choice is ...
A. $3246.74
_____
Please ask your teacher how to get the answer, since none of the offered choices appear to be correct.
Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and 2 red marbles. Find the probability of the indicated result. 16) The second marble is blue, given that the first marble is white
Answer:
second marble is blue and first marble is white is [tex]\frac{1}{7}[/tex]
Step-by-step explanation:
given data
two marbles
box = 1 blue, 3 white, 2 green, and 2 red marbles
solution
we get here second marble is blue and given that the first marble is white
= P(3c1 × 1c1) ÷ P(3c1 × 7c1) ................................................1
= 1c1 ÷ 7c1
= 1 ÷ 7
so second marble is blue and first marble is white is [tex]\frac{1}{7}[/tex]