5sq.km 95ha 8994sq.m + 11sq.km. 11ha 9010sq.m. =
Final answer:
The total area when the two given areas are added together, after converting them into the same unit (square meters), is 17,078,004 m².
Explanation:
The student is asking to perform an addition of two figures that represent areas in different units (square kilometers, hectares, and square meters). To solve this, we need to convert all the areas to the same unit, for instance, square meters (m²), and then add them together. Here's the conversion and addition step-by-step:
Convert 5 square kilometers (sq.km) to square meters: 5 sq.km = 5 × (1,000²) = 5,000,000 m².
Convert 95 hectares (ha) to square meters: 95 ha = 95 × 10,000 = 950,000 m².
Add the square meters: 5,000,000 m² + 950,000 m² + 8,994 m² = 5,958,994 m².
For the second area, convert 11 sq.km to m²: 11 sq.km = 11 × (1,000²) = 11,000,000 m².
Convert 11 ha to m²: 11 ha = 11 × 10,000 = 110,000 m².
Add the square meters: 11,000,000 m² + 110,000 m² + 9,010 m² = 11,119,010 m².
Finally, add the two total areas in m²: 5,958,994 m² + 11,119,010 m² = 17,078,004 m².
Will give the brainiest to whoever answers first
4.What are the coordinates of the vertex of y = –x2 – 12x – 32?
5.What's the y-intercept of y = –x2 – 12x – 32?
6.Find any zeros of y = –x2 – 12x – 32.
Question 1:
For this case we have:
The value of the x coordinate of the vertex is with the equation given by:
[tex]x = -\frac{b}{2a} \\[/tex]
Where b = -12 and a = -1
therefore,
[tex]x =- \frac{-12}{2(-1)} \\\\x = -6\\[/tex]
To find the coordinate and substitute in the equation:
[tex]y = - (- 6) ^ 2-12 (-6) -32\\\\y = 4\\[/tex]
Answer:
The coordinates of the vertex are (-6.4)
Question 2:
For this case we have the following equation:
[tex]y = -x ^ 2 - 12x - 32\\[/tex]
By definition, to find the intercept point with the y axis, we make x = 0 and substitute as shown below:
[tex]y = - (0) ^ 2-12 (0) -32\\\\y = -32\\[/tex]
Thus, the intercept point with the y axis is given by (0, -32)
Answer:
the y-intercept is (0, -32)
Question 3:
For this case we have the following equation:
[tex]y = -x ^ 2 - 12x - 32\\[/tex]
The zeros of the function are given by the cut points with the x axis, so, equaling the equation to zero and clearing x we have:
[tex]0 = -x ^ 2 - 12x - 32\\[/tex]
Rewriting the equation we have:
[tex]0 = x ^ 2 + 12x +32\\[/tex]
Factoring has the following:
[tex](x + 4) (x + 8) = 0\\[/tex]
Thus, the solutions are given by:
[tex]x = -4 \\\\x = -8\\[/tex]
Therefore, the zeros of the equation are (-4.0) and (-8.0)
Answer:
(-4.0) and (-8.0)
(3x)^2 write in expanded form use parentheses to indicate multiplication
Expand (3x)^2
When you see ^2, it means that the term(s) inside the parenthesis should be copied once, and multiplied.
(3x)^2 = (3x)(3x)
(3x)(3x) is your expanded form
~Rise Above the Ordinary
Timothy began the week with $35.He bought lunch at school,paying $2.25 for each meal. Let x be the number of meals he bought at school and y be the amount of money he had left for the end of the week. Which equation can represent the relationship in the sitiountaion?
Hello 156339
Since we know the amount of money is always decreasing, then we should know to subtract by 35. Because 2.25 is the cost per meal and x is the number of meals, the total cost should be 2.25x, which is correct because y is the amount of money left over.
Our final equation would be:
y = 35 - 2.25x
:)
The relationship between Timothy's beginning funds, cost of meals, and money left can be represented as y = 35 - 2.25x, where x is the number of meals bought and y is the remaining money.
Explanation:The relationship between the amount of money Timothy started with, the cost of meals he bought, and the money he had left at the end of the week can be represented with a simple linear equation. The key detail provided in your question is that Timothy started with $35 and his meals cost $2.25 each (we can represent the number of meals as x). We can also denote the amount of money he has left at the end of the week as y. We can then write the equation as: y = 35 - 2.25x. With each meal Timothy buys, his remaining money (y) is reduced by $2.25.
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The weekly salaries (in dollars) for
9
employees of a small business are given below.
(Note that these are already ordered from least to greatest.)
679, 715, 799, 844, 891, 917, 938, 1002, 1027 Suppose that the
$
1027
salary changes to
$
946
. Answer the following.
(a) What happens to the median?
It decreases by
$
.
It increases by
$
.
It stays the same.
(b) What happens to the mean?
It decreases by
$
.
9
It increases by
$
.
It stays the same.
Answer:
a) Median stays the same
b) Mean is decreased by $9
Step-by-step explanation:
The median is the number or the average of the two numbers that is in the middle of a sorted distribution of numbers,
Here the median number will be the 5th number counting from left or right from the sorted list of numbers. Therefor is is 891.
When 1027 is changed to 946 it will fall between 938 and 1002. So updated sorted list of numbers will now look like,
679, 715, 799, 844, 891, 917, 938, 946, 1002
Here also median will be the 5th number which will be equal to 891.
Therefore, , median will not change.
Mean is the value we get by taking the total value of the salaries and divide it by the number of employees.
In the initial case,
Mean =[tex]\frac{679+715+799+844+891+917+938+1002+1027}{9} =868[/tex]
When the salary is changed from $1027 to $946,
Mean=[tex]\frac{679+715+799+844+891+917+938+1002+946}{9} =859[/tex]
Therefor we can see that Mean has decreased by $9.
The formula for the surface area S of a rectangular prism is S=2hl+2hw+2lw, where l is the length,w is the width, and h is the height. Solve the formula for height h.
Hey there!!
Equation given :
S = 2hl + 2hw + 2lw
... S = 2 ( hl + hw + lw )
S / 2 = hl + hw + lw
S / 2 = h ( l + w ) + lw
S / 2 - lw = h ( l + w )
S - 2lw / 2 = h ( l + w )
( S - 2lw / 2 ) / ( l + w ) = h
( S - 2lw / 2l + 2w ) = h
[tex]\frac{S-2lw}{2l+2w} = h[/tex]
Hope my answer helps!!
To solve the formula S=2hl+2hw+2lw for h, rearrange the formula using basic algebra. The final formula for h is h = (S - 2lw) / (2l + 2w).
Explanation:The formula for the surface area S of a rectangular prism is S=2hl+2hw+2lw, where l is the length,w is the width, and h is the height. To solve this formula for height h, the formula needs to be rearranged with basic algebra.
Start by subtracting 2lw from both sides of the equation, which leaves us with S - 2lw = 2hl + 2hw. Then, factor out the h from the right side of the equation, you get S - 2lw = h(2l + 2w).
Finally, to solve for h, divide both sides of the equation by (2l + 2w). The final formula to solve for height h would be h = (S - 2lw) / (2l + 2w).
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Bi-weekly mortgage is $576. Monthly phone charges are $44.95. The electric bill last month was $105.88. Groceries cost about $98/week. What is a good estimate of your monthly expenses?
Final answer:
To estimate the monthly expenses, we calculate each monthly cost including the bi-weekly mortgage paid twice a month, phone charges, electric bill, and groceries multiplied by the average number of weeks per month for a total of $1,728.64.
Explanation:
To estimate the monthly expenses based on the provided costs, we need to calculate the monthly totals of each category. Here's the breakdown:
Bi-weekly mortgage: Since a month roughly consists of 4 weeks, a bi-weekly amount would be paid twice. Therefore, $576 × 2 = $1,152 for the mortgage per month.
Monthly phone charges: This cost is already on a monthly basis, so it's $44.95 for the phone.
Electric bill: The electric bill from last month was $105.88 and we'll use this as an estimate for the current month as well.
Groceries: Groceries cost about $98/week. As there are roughly 4.345 weeks in a month (52 weeks in a year divided by 12 months), we'll multiply the weekly cost by this factor: $98 × 4.345 ≈ $425.81 for groceries.
Adding these expenses, the total estimated monthly expenses would be $1,152 (mortgage) + $44.95 (phone) + $105.88 (electric) + $425.81 (groceries) = $1,728.64.
(-2)(-5)= what’s the answer
10
hop thats helps ya
what is ( 2 ^8 x 5^-5 x 19^0) ^-2 x ( 5^-2 / 2^3 ) ^4 x 2^28
(2^8x5^-5x19^0)^-2 x (5^-2/2^3)^4 x 2^28
(256x0.00032x1)^-2 x (0.04/8)^4 x 2^28
0.08192^-2 x 0.005^4 x 268,435,456
149.0116119384766 x 0.000000000625 x 268,435,456
0.000000093132257 x 268,435,456
= 25
the Martin family's truck gets an average of 25 miles per gallon predict how many miles can they drive using 7 gallons of gas
They will go 175 Miles, all you have to do is 25 x 7 Hope this Helps :D
If the truck gets 25 MPG [Miles Per Gallon] And They use 7 Gallons Of gas you do 25*7.
Making it 175 Miles. Martin's Family Can Drive 175 On 7 gallons of Gas.
In the equation y = -2x = 6, what is the slope? y-intercept?
Is the =6 supposed to be +6?
If so, the slope would be -2 and the y-intercept is 6.
THIS IS A LITERAL EQUATION
E=mc sguare
solve for c
E=mc sguare
solve for c
Rewrite equation
Mc^2=e
Divide both sides by m
C^2=e/m
Square root both sides to get c alone .
C= ± square root e/m
Withsquare root you need a positive and negative solution
C= square root em/m, - square root em/m
Becky has 4 quarters. Becky's mom gives her 3 more. Becky spends 2 of them on candy. How many quarters does Becky have left?
4+3= 7
7-2=5
She has 5 quarters.
Hope I helped!
Good Luck!
Becky has 5 quarters left.
Becky starts with 4 quarters and then receives an additional 3 quarters from her mom, giving her a total of 7 quarters. After spending 2 quarters on candy, she subtracts those from her total, leaving her with 5 quarters remaining.
To solve the chocolate problem, we need to work backward from the information given.
Lisa ends up with 6 chocolates, which means before Lisa received her half, there must have been 12 chocolates remaining (since 6 is half of 12).
Jenny ate 2 chocolates before that, so she originally had 14 chocolates.
Therefore, the correct answer is C. 14.
Forty tickets were Sold for a lottery. If Lin bought two tickets, what are the chances he will win?
Lin has a 2/40 chance of winning,
or in percentage, a 2.5% chance.
What is the difference between 76.82 and 2.761
74.059 is the answer.
Hope this helps...
The difference usually means to subtract so I am going to subtract 76.82 - 2.761 to get an answer of 74.059.
Ricardo earns a base salary of $500 a week plus a weekly commission he has earned a commission of $325, $460, $280, $400, $380, and $250 each week for the last six weeks.
Find the mean, median, mode, and range for the commision Ricardo earned during these six weeks. Round answers to the nearest tenth.
What commission must Ricardo earn during the seventh week to raise his mean weekly commision to $370.70?
What commission must Ricardo earn during the seventh week to raise his mean weekly earnings to $850?
Answers:
1)
Mean = $349.2
Median = $352.5
Range = $210
2)
$499.90
3)
$355
I have attached a photo of the work written for this question:
Rochelle made three $25 withdrawals and then wrote a check for $100. If she started with $200 in her account, find the total amount she has left in her account in dollars.
$25. 25 x 3 is 75. Plus the 100 is 175. 200 - 175 is $25
#7 pleasebdbdbdbx??????????
Use traditional algorithm to find the quotient 3 ) 137
Using the traditional division algorithm, 137 divided by 3 equals 45 with a remainder of 2.
Explanation:To find the quotient of 3 divided into 137 using the traditional divisor algorithm, we take it step by step. Starting from the left, we see if 3 fits into the first digit, 1. It does not, so we look at the next digit, making it 13. 3 fits into 13 four times. Write this 4 on top of the division line. Then you subtract the value of 4 times 3, or 12, from 13 to get a remainder of 1. Bring down the next digit from the dividend, so now we're dividing 3 into 17. 3 fits into 17, five times. Write this 5 on top of the division line. Therefore, 137 divided by 3 using traditional division algorithm equals 45 remainder 2.
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victor bought 15.6 pounds of paintball all together the balls cost $35.99 about how much did the paintball cost per pound
What is the square root of 25
The square root of 25 is 5.
Your just trying to find what number you can multiply with its self to make that number. So 5x5 = 25
Another example is lets say 64, the square root of 64 is 8 because 8x8 = 64.
Hope this makes sense!!
Hope this Helps!!
What is the square root of 25?
5 * 5 = 25
√25 = 5
your answer is 5
What is the least common multiple of 8 and 10? Enter your answer in the box. _____
40 is the LCM,
Hope it helps ❤️
The price of a used car is reduced by 25% to $6,000. What was the original price of the car in dollars? Round your answer to the nearest dollar.
The original price of the used car, before the 25% reduction, was approximately $8,000. This was calculated by considering that $6,000 represents 75% of the original price.
Explanation:The question is related to percentage and price, which falls under the realm of Mathematics. To find the original price of the car, you must consider that the price after the 25% discount was $6,000. This 25% reduction means that $6,000 represents 75% of the original price because 100% - 25% equals 75%. To find the original price (which is 100%), you can set up a simple equation and solve for the original price using cross multiplication. The equation will look like this:
75/100 = 6000/x
When you cross multiply and solve for x, the result is $8,000. So, the original price of the car was approximately $8,000.
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How long does it take a train traveling at constant rate of 70 miles per hour to travel 350 miles
A 280 hours
B 20 hours
C 5 hours
D 245 hours
The answer is C) 5 hours
The square of a number x is 92. The number x is between what two consecutive whole number
Answer:
i think 9 and 11 i might be wrong sry\
Step-by-step explanation:
Katrina has 12 more car payments that are each $178. About how much money does she have left to pay? $200
We are given
total number of cars =12
cost of each car = $178
now, we have to find total cost
so, we can use formula
total cost = (total number of cars)* ( cost of each car)
so, we can plug values
and we get
[tex]TC=12\times 178[/tex]
[tex]TC=2136[/tex]
So, the cost of 12 cars is $2136.........Answer
Answer:
2136
Step-by-step explanation:
multiply 12 and 178
What is the answer to 63+x+13=3x,x
HELP PLEASE!!!!!!!!!!!!!!! I GIVE BRAINLIAST <3)))
8. domain=hours
range=cost
it is a function because there is a y value for ever x
9. minutes =60, 120,180, 240 (domain)
calories= 360, 720, 1080, 1440 (range)
this is also a function
Can someone help me to answer this PLEASE!!!!!
Convert 6.039 x 10^6 to decimal notation
show solution.
Move the decimal point 6 places to the right to get the answer. the answer would be
6039000.000
in decimal notation, it should be 6/1 x 1000000/1000000 + 0/1 x 100000/10000 + 3/1 x 10000/10000 + 9/1 x 1000 + 0/1 x 100/100 + 0/1 x 10/10 + 0/1 x 1/1
Sonny Siebert earned $485,000 a year as a rookie pitcher for the Cleveland Indians. Assuming a tax rate of 6.2% for Social Security up to $118,500 and Medicare tax of 1.45%, how much did Sonny pay in FICA taxes as a rookie pitcher?
Answer:
14379.50
Step-by-step explanation:
If I remember correctly, the Medicare tax is taken on Gross Income. The question has already limited the base amount for Social Security.
Social Security: 118,500 * 6.2/100 = 7347
Medicare Tax: 485,000*1.45/100 = 7032.50 Add
Add 14379.50
Sonny paid 14370 in taxes for these 2 items.
Answer:
$14,379.50
Step-by-step explanation:
Given that:
Sonny Siebert Income: $485,000Social Security tax rate: 6.2% up to $118,500Medicare tax of 1.45%As we know that, the Federal Insurance Contributions Act (FICA) is made up of two items, Social Security and Medicare taxes.
So
Social Security tax: $118,500*6.2% = $7347
Medicare tax: $485,000*1.45% = $732.5
=> the amount of FICA taxes as a rookie pitcher she needs to pay is:
= $7347 + $732.5
= $14,379.50