the amount of medicine in Elizabeth blood is modeled by the function M(t)= -t2+10t where t is the number of hours of

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

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:

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)

Using the traditional division algorithm, 137 divided by 3 equals 45 with a remainder of 2.

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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The answer is C) 5 hours

Is the =6 supposed to be +6?

If so, the slope would be -2 and the y-intercept is 6.

Answer:

i think 9 and 11 i might be wrong sry\

Step-by-step explanation:

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:

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

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.

Final answer:

To find how many times larger 3 x [tex]10^{15}[/tex] is than 6 x [tex]10^{10}[/tex], divide the first by the second resulting in 5 x [tex]10^{4}[/tex]. This means 3 x [tex]10^{15}[/tex]  is fifty thousand times larger than 6 x [tex]10^{10}[/tex].

Explanation:

To find out how many times larger 3 x [tex]10^{15}[/tex]  is than  6 x [tex]10^{10}[/tex], you can divide the first number by the second number:

This means that 3 x [tex]10^{15}[/tex]  is fifty thousand times larger than 6 x [tex]10^{10}[/tex].

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.

Lin has a 2/40 chance of winning,

or in percentage, a 2.5% chance.

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.

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

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).

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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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.

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.

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

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

40 is the LCM,

Hope it helps ❤️

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.

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.

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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10

hop thats helps ya

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

(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

$25. 25 x 3 is 75. Plus the 100 is 175. 200 - 175 is $25

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