Answer:
Volume of the lake = 6.44 × 10¹¹ Litres
Step-by-step explanation:
First, let us unify the units of measurement in the problem by converting the depth from feet to miles
1 mile = 5280 feet
1 foot = 1/5280 miles
∴ 51.0 Feet = 51.0 × (1/5280) miles
= 0.009659 miles
Next, let us calculate the volume of the lake.
Volume = surface area × depth
surface area = 16.0 (mi)²
depth = 0.009659 mi
volume = 16.0 × 0.009659 = 0.15454 (mi)³
Next, since we are asked to report the volume in litres, let us convert from cubic miles to litres
1 cubic mile = 4.168 × 10¹² litres
∴ 0.15454 cubic miles = 4.168 × 10¹² × 0.15454
= 6.44 × 10¹¹ Litres
∴ Volume of the lake = 6.44 × 10¹¹ Litres
The volume of the lake is 6.46×10¹¹ liters.
To get the volume of the lake in liters, we need to calculate the volume in square miles and then convert it to liters.
Formula:
V = Ah................... Equation 1Where:
V = Volume of the lakeA = Surface area of the lakeh = height of the lake.From the question,
Given:
A = 16.0 square milesh = 51.0 feet = (51×0.00019) feet = 0.00969 milesSubstitute these values into equation 1
V = 16(0.00969)V = 0.15504 milesV = (0.15504×4.168×10¹²) litersV = 6.46×10¹¹ litersHence, the volume of the lake is 6.46×10¹¹ liters
Learn more about volume here: https://brainly.com/question/12410983
A washer and dryer cost 1019$ combined. The washer costs 69$ more than the dryer. What is the cost of the dryer?
Answer:
440.5$
Step-by-step explanation:
1019$ ÷ 2 = 509.5
509.5 - 69$ = 440.5$
An online merchant sells products that can be classified into the following non-intersecting categories: video games, electronics and clothing.In any given week, it is estimated that twice as many video games are sold compared to clothing items. However, the number of electronic items sold would be two-thirds of the number of video games sold, less one-fifth of the number of clothing items sold. A total of five items were independently sold in the past week.What is the probability that the five items consisted of three video games, one electronic item and one clothing item?A. 0.03B. 0.06C. 0.08D. 0.12E. 0.15
Answer:
0.15 ( E )
Step-by-step explanation:
Assuming
video game to be : V
electronics : E
clothing : C
From the content of the question
V = 2c
hence E = 2/3 V - 1/5 C
= 2/3 ( 2c ) - 1/5 c
= [tex]\frac{17c}{15}[/tex]
therefore : V = 2c and E = 17c / 15
assuming the number of clothing ( c ) = 15
V = 2*15 = 30 and E = ( 17 *15 ) / 15 = 17
Total number of items sold = V + C + E = 30 + 15 + 17 = 62
from here we can determine the probability that of the five items independently sold that there are 3 video game, 1 electronic item and 1 clothing item
attached below is the remaining part of the solution
Answer:
Step-by-step explanation:
I don’t understand this bs i need help.
Answer:
Easy answer is 7
Step-by-step explanation:
Subtract
Answer:
x<-1 or x>4
Step-by-step explanation:
Open ended means Less than
Close ended/colored means less than or equal to
solve the equation2.2^2x-7×2^x-4=0.
Answer:
2
Step-by-step explanation:
2×2^2x - 7×2^x - 4=02×(2^x)^2 - 7×2^x - 4 = 0Substitute 2^x = y, where y>0
Then we get quadratic equation:
2y^2 - 7y - 4 = 0Solving this, we get y = 4 as positive root, so;
y = 42^x = 42^x = 2^2x = 2Answer is 2
What number should be added to 77 to make the sum 0? (5 points)
77
-77
0
-76
Answer:
-77
Step-by-step explanation:
77+77=154 wrong
77+(-77)=0 right
77+0=77 wrong
77+(-76)=1 wrong
Answer:
b. -77
Step-by-step explanation:
The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.
Answer:
[tex]perimeter=90[/tex]
Step-by-step explanation:
We know that the length is four times the width, so:
[tex]l=4w[/tex]
We also know the area, which is 324 m². The formula for area:
[tex]A=l*w[/tex]
Insert the known values:
[tex]324=(4w)*w[/tex]
Solve for w. Simplify by removing parentheses:
[tex]324=4w*w\\324=4w^2[/tex]
Divide 4 from both sides to isolate the variable:
[tex]\frac{324}{4}=\frac{4w^2}{4} \\\\81=w^2[/tex]
Find the square root of both sides:
[tex]\sqrt{81} =\sqrt{w^2} \\\\w=9[/tex]
The width is 9 m.
We know the width. Now find the length by using the area formula and inserting known values:
[tex]324=l*9[/tex]
Solve for l. Divide both sides by 9:
[tex]\frac{324}{9}=\frac{l*9}{9}\\\\ l=36[/tex]
The length of the rectangle is 36. (You can check: 4 times 9 is 36)
Now find the perimeter:
[tex]P=2l+2w[/tex]
Insert values:
[tex]P=2(36)+2(9)\\\\P=72+18\\\\P=90[/tex]
The perimeter is 90 m.
PLS PLS HELP WILL GIVE 50 POINTS TO BRAINLIEST How do you find the radius of a circle with the equation: 03.5 (x+2.2)^2 + 3.5 (y−11.1)^2 − 21 = 0
Answer: r=√6 or r≈2.45.
Step-by-step explanation:
To find the radius, you first need to know the equation of a circle.
Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex]
Now that we know the equation of the circle, we can use it to find the radius of the given equation.
3.5(x+2.2)²+3.5(y-11.1)²-21=0
So far the equation looks pretty similar with the exception of the bolded areas. To get rid of them, we need to use our algebraic properties.
3.5(x+2.2)²+3.5(y-11.1)²-21=0 [add both sides by 21]
3.5(x+2.2)²+3.5(y-11.1)²=21 [factor out 3.5]
3.5((x+2.2)²+(y-11.1)²)=21 [divide both sides by 3.5]
(x+2.2)²+(y-11.1)²=6
Now, our equation is the same as the one posted above. You may think that 6 is our radius, but if you look closely, the equation is equal to r². Therefore, 6 is actually r², not r.
r²=6 [square root both sides]
r=√6
Finally, we have the final answer, r=√6 or r≈2.45.
The accuracy of verbal responses is tested in an experiment in which individuals report their heights and are then measured. The data consist of the reported height and measured height for each individual.
A. Cannot be determined from the information given
B. Dependent samples
C. Independent samples
Answer:
B. Dependent samples
Step-by-step explanation:
Dependent samples occur when you have two samples that do affect one another. Dependent samples are paired measurements for one set of items.
While independent samples occur when you have two samples that do not affect one another.
Independent samples are measurements made on two different sets of items.
16.75 + 3.2d - 4 + 6d = 51.39
Find the differential of each function. (a) y = tan( 5t ) dy = Correct: Your answer is correct. (b) y = 5 − v2 5 + v2
Answer:
[tex](a)[/tex] [tex]dy = 5sec^2(5t) \ dt[/tex]
[tex](a) \ dy = \frac{-20v}{(5+v^2)^2} \ dt[/tex]
Step-by-step explanation:
Given;
(a) y = tan(5t)
[tex](b) \ y = \frac{5-v^2}{5+v^2}[/tex]
Solving for (a)
y = tan(5t)
let u = 5t
⇒y = tan(u)
du/dt = 5
dy/du = sec²u
[tex]\frac{dy}{dt} =\frac{dy}{du} *\frac{du}{dt} \\\\\frac{dy}{dt} = sec^2(u)*5\\\\\frac{dy}{dt} = 5sec^2(u)\\\\\frac{dy}{dt} = 5sec^2(5t)[/tex]
[tex]dy = 5sec^2(5t) \ dt[/tex]
Solving for b;
let u = 5 - v²
du/dv = -2v
let v = 5+ v²
dv/du = 2v
[tex]\frac{dy}{dv} = \frac{vdu - udv}{v^2} \\\\\frac{dy}{dv} = \frac{-2v(5+v^2) - 2v(5-v^2)}{(5+v^2)^2}\\\\\frac{dy}{dv} = \frac{-10v-2v^3-10v+2v^3}{(5+v^2)^2}\\\\[/tex]
[tex]\frac{dy}{dv} = \frac{-10v-10v}{(5+v^2)^2}\\\\\frac{dy}{dv} = \frac{-20v}{(5+v^2)^2}\\\\dy = \frac{-20v}{(5+v^2)^2} dt[/tex]
I need help I'm in Jr high
Answer:
8
Step-by-step explanation:
It is at value 8
You may award me brainliest.
each line represent one interval numerically, space from 4-6 is five therefore teh numbers above are simply one above six and further more.
match each statement to the reasons given for the geometric proof.
Given: ABCD is a parallelogram
Prove: Diagonals bisect each other(AE=CE and BE = DE
Answer: 5, 3, 1, 2, 6, 4
Step-by-step explanation:
The proof should be written as follows (which is a different order than provided):
Statement Reason
1. ABCD is a parallelogram 1. Given
2. AB||DC and AD||BC and AB ≅ DC 2. Definition of parallelogram
3. ∠ABD ≅ ∠CDB 3. Alternate Interior Angles Theorem
4. ∠DEC ≅ ∠BEA 4. Vertical Angles Theorem
5. ΔABE ≅ ΔCDE 5. AAS Congruency Theorem
6. AE = CE and BE = DE 6. CPCTC
This is the order provided in your question:
5. ΔABE ≅ ΔCDE 5. AAS Congruency Theorem
3. ∠ABD ≅ ∠CDB 3. Alternate Interior Angles Theorem
1. ABCD is a parallelogram 1. Given
2. AB||DC and AD||BC and AB ≅ DC 2. Definition of parallelogram
6. AE = CE and BE = DE 6. CPCTC
4. ∠DEC ≅ ∠BEA 4. Vertical Angles Theorem
A sample of 40 11th graders were asked to select a favorite pattern out of 6 choices. The following display shows what their favorite color patterns were. The counts have been recorded in the accompanying table according to pattern and the number of students who chose that pattern.
Answer:
C. Graph C
Step-by-step explanation:
To easily find out which graph correctly displays the data from the list and table, note, the frequency of each color that in ascending order.
The color with the highest frequency would have the longest bar, followed by the 2nd highest, then the third, and so on. Thus, frequency should tally with the length of the bar.
From the table given, the top 3 are:
Pink polka dots => 12
Purple => 8
Ted and orange stripes => 7
Green => 6
Blue and gray => 4
Yellow => 3
The graph that has length of bars that corresponds to the frequency of the colors is graph C
Answer: graph c
Step-by-step explanation:
A P E X
Samantha is building a miniature maze for a science experiment. she determines that she needs 6 yards of wood for the exterior walls. how many feet of wood must she by in order to build her maze?
Answer:
18 ft
Step-by-step explanation:
Convert yards to feet:
6 yds 3 ft
------------ * ------------ = 18 ft
1 1 yd
Plz help 7th grade math picture below
Answer: balance is -44 dollars
This indicates he owes 44 dollars
=======================================================
Explanation:
21 + (-30) = -9 is the balance if we don't account for the overdraft fee
If we do account for the overdraft fee, then -9 + (-35) = -44 is the bank balance.
Note how I'm using negative values to indicate balances in which Nick owes money, rather than it's the amount of money he has. So he owes the bank $44.
------------
A slightly different way to get the answer is to say
21-30 = -9
-9-35 = -44
This is because adding a negative is the same as subtraction.
a. Guttery invested $147,000 in cash to start the business.
b. Paid $4,700 for the current month's rent.
c. Bought office furniture for $15,420 in cash.
d. Performed services for $8,500 in cash.
e. Paid $1,120 for the monthly telephone bill.
f. Performed services for $14,300 on credit.
g. Purchased a computer and copier for $35,400; paid $11,700 in cash immediately with the balance due in 30 days.
h. Received $7150 from credit clients.
i. Paid $2,700 in cash for office cleaning services for the month.
j. Purchased additional office chairs for $4,500; received credit terms of 30 days.
k. Purchased office equipment for $27,000 and paid half of this amount in cash immediately, the balance is due in 30 days.
I. Issued a check for $8,100 to pay salaries.
m. Performed services for $14,800 in cash.
n. Performed services for $16,300 on credit.
o. Collected $6,700 on accounts receivable from charge customers.
p. Issued a check for $2,250 in partial payment of the amount owed for office chairs.
q. Paid $570 to a duplicating company for photocopy work performed during the month.
r. Paid $1,090 for the monthly electric bill.
s. Guttery withdrew $7.700 in cash for personal expenses.
Required:
Prepare a trial balance, an income statement, a statement of owner's equity, and a balance sheet. Assume that the transactions to
place during the month ended June 30, 2019. Determine the account balances before you start work on the financial statements.
Analyze
< Prey
4 of 10
Next >
Answer:
unanswerable
Step-by-step explanation:
bruh no one can answer all these questions. try making them seperatly that should help.
Help Me out with this question plz thx
Answer:
6x³ - 8x + 9
Step-by-step explanation:
Step 1: Write out expression
2x + 7 + 6x³ - 1 + 3 - 6x - 4x
Step 2: Combine like terms (x)
6x³ - 8x + 7 - 1 + 3
Step 3: Combine like terms (constants)
6x³ - 8x + 9
Answer:
6x^3-8x+9.
Step-by-step explanation:
Rearrange the number with its like terms.
i.e. 6x^3+2x-6x-4x+7-1+3.
which will give us 6x^3-8x+9.
Solve for y. 8/5=4y. Simplify your answe
Answer:
2/5 =y
Step-by-step explanation:
8/5 = 4y
Divide each side by 4
8/5 * 1/4 = 4y/4
8/4 *1/5 = y
2 *1/5 = y
2/5 =y
Answer:
y=2/5
Step-by-step explanation:
8/5=4y
y=(8/5)/4
y=(8/5)(1/4)
y=8/20
simplify
y=2/5
last year frankie deli made an 11 foot 6 inch submarine this year they plan to make another one 2 feet and 3 inches longer how many feet long will this sandwich be? anserw
Answer:
13 feet 9 inches
Step-by-step explanation:
11 feet 6 inches + 2 feet 3 inches= 13 feet 9 inches
Refer to the following distribution:Cost of Textbooks Frequency $25 up to $35 2 S35 up to $45 5$45 up to $55 7$55 up to $65 20 S65 up to $75 16What is the relative class frequency for the $25 up to $35 class? A) 0.10 B) 0.05 C) 0.02 D) 0.04
Answer:
[tex]Relative\ Frequency = 0.04[/tex]
Step-by-step explanation:
Given
Cost of Textbooks ---- Frequency
$25 up to $35 ----- 2
$35 up to $45 ------- 5
$45 up to $55 ------- 7
$55 up to $65 ------ 20
$65 up to $75 ---- -- 16
Required
Determine the relative class frequency for the $25 up to $35 class
First, we need to get the total frequency
[tex]Total = 2 + 5 + 7 + 20 + 16[/tex]
[tex]Total = 50[/tex]
Next, is to write out the frequency of $25 up to $35 class
[tex]Frequency = 2[/tex]
Divide this frequency by the total frequency; This gives the relative frequency
[tex]Relative\ Frequency = \frac{Frequency}{Total}[/tex]
[tex]Relative\ Frequency = \frac{2}{50}[/tex]
[tex]Relative\ Frequency = 0.04[/tex]
Hence;
Option D answers the question
Need help now Please help
Answer:
D is the correct answer.
Answer:
d
Step-by-step explanation:
taisha ran faster than 15.02 but slower than 14.65
On a recent road trip, Johnny was able to drive 360 miles on 12 gallons of gas. a. What is the average gas mileage for Johnny’s car?
Answer:
1/30 gallon per mile
12/360=1/30
Answer:
Step-by-step explanation:
The answer is 1/30 of a gallon
12/360=1/30
An article claims that 12% of trees are infested by a bark beetle. A random sample of 1,000 trees were tested for traces of the infestation and found that 127 trees were affected.
z = p - p/underroot pq/n
Using the formula and data provided, what is the value of the z-test statistic?
Answer:
0.68
Step-by-step explanation:
The formula for z test is given above as:
z = p' - p/√(pq/n)
p' = sample proportion
= Number of infested samples(trees)/ Number of samples
p' = 127/1000 = 0.127
p = 12% = 0.12
q= 1 - 0.12 = 0.88
n = number of samples = 1000
z = 0.127 - 0.12/√(0.88 × 0.12/1000)
z = 0.007/√0.0001056
z = 0.007 /0.0102761861
z = 0.6811865737
Therefore, the z test statistic is approximately ≈ 0.68
please help me!!
find the variables!
1) 8x -44= -3x
2) 1w- 9= 4w
3) 5n- 16=1n
4) 8h+ 36=2
Answer:
Step-by-step explanation:
1. 11x = 44
x = 4
2. 3w = -9
w = -3
3. -4n = -16
n = 4
4. 6h = 36
h= 6
You meet with the financial aid office to discuss your costs for attending MGA next semester. Tuition is
$113.67 per credit hour, and fees are a flat cost of $660. You have a grant of $350 and a scholarship of
$400. If you are taking 15 credit hours, what amount will you need to pay for your classes next
semester?
Answer:
$1615.05
Step-by-step explanation:
First, you need to determine the total cost for taking 15 credit hours:
Total cost=660+(113.67*15)
Total cost=$2,365.05
Now, you can subtract from that the amount of the grant and the scholarship you receive:
$2,365.05-$350-$400=$1615.05
According to this, the answer is that if you are taking 15 credit hours, you will need to pay $1615.05 for your classes next semester.
if a right cylinder have the same radius and height as the oblique cylinder shown here, what is the volume of the right cylinder? Use 3.14 for pi. Round to the nearest whole number.
Answer:
[tex]\displaystyle V_\text{right} \approx 1696\text{ units}^3[/tex]
Step-by-step explanation:
Recall that the volume for an oblique cylinder is the same for the volume of a right cylinder. That is:
[tex]\displaystyle V_\text{right} = V_\text{oblique} = \pi r^2h[/tex]
Hence, find the volume of the oblique cylinder:
[tex]\displaystyle \begin{aligned} V_\text{oblique} & = (3.14)(6)^2(15) \\ \\ & = 1695.6 \text{ units}^3 \\ \\ &\approx 1696\text{ units}^3\end{aligned}[/tex]
Therefore:
[tex]\displaystyle V_\text{right} \approx 1696\text{ units}^3[/tex]
In conclusion, the volume of the right cylinder is about 1696 units³.
What is the length of the line segment with endpoints (11, −4) and (−12, −4
Answer:
23 units
Step-by-step explanation:
Use the distance formula: d = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]
Plug in the 2 points:
d = [tex]\sqrt{(-12 - 11)^2 + (-4 + 4)^2}[/tex]
d = [tex]\sqrt{529}[/tex]
d = 23
So, the distance is 23 units
Answer:
length of the line segment =23
Step-by-step explanation:
[tex] (11, −4) = (x_1 , y_1) \\ (−12, −4) = (x_2 , y_2) \\ d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} }[/tex]
Plug in the values into the equation
[tex]d = \sqrt{( - 12 - 11)^{2} + ( - 4 - ( - 4)^{2} } [/tex]
Simply :
-12-11=- -23
-4(-4) = -4+4=0
[tex]d = \sqrt{( - 23)^{2} + {(0)}^{2} } \\ d = \sqrt{529 + 0} \\ d = \sqrt{529} \\ d = 23[/tex]
According to an April 2019 report by the Cruise Lines International Association, in 2018 28.5 million people went on cruises, and this accounted for 2% of international travelers. How many people traveled internationally in 2018? Write your answer in millions of people.
Answer:
Total people international traveler on cruises = 1,425 million people
Step-by-step explanation:
Given:
Total people international traveler on cruises = 28.5 million
Percentage of international traveler = 2%
Find:
Total people international traveler on cruises
Computation:
Total people international traveler on cruises = 28.5 million × [100/2]%
Total people international traveler on cruises = 1,425 million people
The number of international travelers in 2018 was 570000.
Percentage is a number or ratio expressed as a fraction of 100. One percent is a hundredth part.
Given that in 2018 28.5 million people went on cruises, and this accounted for 2% of international travelers.
Number of international travelers = 2% of 28.5 million = 0.02 * 28.5 million = 570000The number of international travelers in 2018 was 570000.
Find out more on percentage at: https://brainly.com/question/24304697
Find the value of x.
X = [?]°
68.5°
Х
49.5°
Answer:
[tex] \boxed{ \bold {\huge{ \boxed{ \sf{x = 62°}}}}}[/tex]
Step-by-step explanation:
Sum of angle of triangle = 180 °
Create an equation :
[tex] \sf{x + 68.5 + 49.5 = 180°}[/tex]
Add the numbers
⇒[tex] \sf{x + 118 = 180}[/tex]
Move 118 to right hand side and change it's sign
⇒[tex] \sf{x = 180 - 118}[/tex]
Subtract 118 from 180
⇒[tex] \sf{x = 62°}[/tex]
Hope I helped!
Best regards!!
How much more gasoline will it take to fill the tank?
Answer:
I think you need to divide both fractions and see if you will get a answer from the answer choices.
Step-by-step explanation: