7x-9x=-36
(I know the answer but I’m not sure if I have the work right)

Answer:

24 is the answer

Step-by-step explanation:

2a + 5 = 53

     -5      -5

      0      48

2a/2= a

48/2= 24

THEREFORE a=24

The system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

For the stated data;

Standard car license plates in a nation typically have 3 digits, 2 letters, and 2 numbers.

There are total 9 digits (0 - 9).

There are total 26 letter (A - Z)

Repetitions of letters and numbers given allowed.

Thus, numbers and the letters ca be arranged as;

1st place = 9 ways.

2nd place = 9 ways.

3nd place = 9 ways.

4th place = 26 ways.

6th place = 26 ways.

7th place = 9 ways.

8th place = 9 ways.

Total ways = 9×9×9×26×26×9×9

Total ways = 39917124

Thus, the system of standard automotive license plates allows for a variety of standard plates is 39917124 ways.

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Step-by-step explanation:

it is an exponential function but u can solve it by using logarithm so the answer is 2

Answer:

\(x=2\)

Step-by-step explanation:

\(2^{3-2x} =\frac{1}{2}\)

taking ln on both the sides.

\(3-2x ln2^{} =ln\frac{1}{2}\)

\(3-2x = \frac{ln(1/2)}{ln(2)}\)

\(3-2x=-1\)

\(-2x = -1-3\)

\(-2x=-4\)

\(x=-4/-2\)

\(x=2\)

OR

\(2^{3-2x} =\frac{1}{2}\)

\({3-2x} ={-1}\)

\({-2x} ={-1-3}\)

\(-2x=-4\)

\(x=-4/-2\)

\(x=2\)

Answer:

The awnser is #3

Answer:

3. $30,000

Step-by-step explanation:

Answer:

\(-1.8x-6xy\)

Step-by-step explanation:

\(x(-1.8-6y)\)

\(x(-1.8)+x(-6y)\)

\(-1.8x+-6xy\)

1. If the serial number 1207 is a Tuesday, the serial number 1210 would be on Friday.

2. The result of the formula "1:30" is 1 hour and 30 minutes.

3. The formula =DATE(2017,7,2) will return July 2, 2017.

4. To find the difference between two dates listed in years instead of days, use the YEARFRAC function.

5. The statement "You can’t edit conditional rules, but you can delete them and then create new ones" is FALSE regarding the Conditional Formatting Rules Manager.

6. If the actual rent increases to 26,000, both the Actual and Difference conditional formatting graphics will change.

1. By considering the days of the week in order, serial number 1210 would be on Friday, as it follows the pattern of consecutive days.

2. The formula "1:30" represents 1 hour and 30 minutes.

3. The formula =DATE(2017,7,2) specifies the date as July 2, 2017.

4. The function YEARFRAC is used to find the difference between two dates in years, taking into account fractional parts of a year.

5. The Conditional Formatting Rules Manager allows you to create, edit, and delete rules. You can edit conditional rules by selecting them and making the necessary changes.

6. If the actual rent increases to 26,000, both the Actual and Difference conditional formatting graphics will change, as the Difference column is calculated as budget minus actual amount, and any change in the actual rent would affect both values.

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Answer:

7, 14, 14,21, and 28

Step-by-step explanation:

Only 1, 7 is pair of numbers that has 7 as its least common multiple.

Given that,
Pairs ( 1, 7 ), ( 3, 4 ), ( 7, 21), ( 14, 28).
A pair or pairs to be determined that have 7 as its least common multiple.

In mathematics, it deals with numbers of operations according to the statements.

In arithmetic, LCM is defined as the lowest common multiple of two integers X and Y, usually represented as by LCM X, Y, and is the smallest favorable integer that is dividable by both X and Y.

Since the Least common multiple of pair of numbers has 7, this is only possible for 1 * 7, because the LCM of 1 and7 is 7. So from given option 1, 7 is the required pair.

Thus, only 1, 7 is pair of numbers that has 7 as its least common multiple.

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Answer:

1 7/8 can be written as 8*1+7/8=15/8=1.875

Step-by-step explanation:

Therefore, the linearization of f(x) = cos(x) at a = π/2 is L(x) = π/2 - x.

The linearization of a function f(x) at a point a is given by:

L(x) = f(a) + f'(a)(x - a)

where f'(a) denotes the derivative of f(x) evaluated at x = a.

In this case, we have:

f(x) = cos(x)

a = π/2

First, let's find f'(x):

f'(x) = -sin(x)

Then, we can evaluate f'(a):

f'(π/2) = -sin(π/2) = -1

Next, we can plug in the given values into the formula for linearization:

L(x) = f(a) + f'(a)(x - a)

L(x) = cos(π/2) + (-1)(x - π/2)

L(x) = 0 - x + π/2

L(x) = π/2 - x

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Based on amortization loan formula, Melissa should make a monthly payment of $4.21494.

The amount paid each month to repay the loan over the course of the loan is known as the monthly payment. When a loan is taken out, not only the principal, or the original lent amount, but also the interest that accrues, must be repaid.

Assuming the loan exists compounded monthly, the total monthly payment exists estimated from the amortization formula as peruses:

\($A=P(i(1+i)^n)/((1+i)^n-1)\)

Where, A be the monthly payment

P be the amount borrowed = $ 6000

i be the monthly interest = 0.0311/12

n be the number of months = 4 × 12 = 48 months

Calculating the monthly payment:

substitute the values in the above equation, we get

\($\frac{6000\left(\frac{0.03}{12}\left(1+\frac{0.03}{12}\right)^{48}\right)}{(1+0.03)^{48-1}}\)

simplifying the above equation, we get

\($=\frac{6000 \cdot \frac{0.03}{12}\left(1+\frac{0.03}{12}\right)^{48}}{(1+0.03)^{48-1}}$$\)

\($(1+0.03)^{48-1}=1.03^{47}$\)

\($=\frac{6000 \cdot \frac{0.03}{12}\left(\frac{0.03}{12}+1\right)^{48}}{1.03^{47}}$\)

Multiplying the above equation,  

\($6000 \cdot \frac{0.03}{12}\left(1+\frac{0.03}{12}\right)^{48}= 16.90992 \ldots \\\)

\($=& \frac{16.90992 \ldots}{1.03^{47}} \\\)

\($1.03^{47}=4.01189 \ldots \\\)

\($=& \frac{16.90992 \ldots}{4.01189 \ldots}\)

= 4.21494

Based on amortization loan formula, Melissa should make a monthly payment of $4.21494.

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Answer:

0.09

Step-by-step explanation:

Answer:

$0.09

Step-by-step explanation:

12 eggs= 1.08

1.08/12= $0.09

one egg= $0.09

Having 1 as an exponent does nothing to the original number.

2/3^1 = 2/3

Best of Luck!

Answer:

\(\frac{2}{3}\)

Step-by-step explanation:

Anything to the power of 1 is itself.

---------------------------------------------------

If a number is to the power of 2, it multiplies itself and there are two 8 terms.

\(8^2=8*8\)

Thus, if a number is to the power of 1, it is just by itself.

\(8^1=8\)

Given:

The system of equations is

\(y=1.5x-3\)

\(y=1.5x+4\)

To find:

The true statement about the given system of equations.

Solution:

The slope intercept form of a line is

\(y=mx+b\)

Where, m is the slope and b is the y-intercept.

We have,

\(y=1.5x-3\)

\(y=1.5x+4\)

On comparing these two lines with slope intercept form, we get

\(m_1=1.5,b_1=-3\)

\(m_2=1.5,b_2=4\)

Since the slopes of the lines are equal but the y-intercepts are different, therefore, the two lines are parallel and the system has no solution.

Therefore, the correct option is A.

Answer:

Below : )

Step-by-step explanation:

1) {x lx is all real numbers}

2) {y l y is greater than or equal to zero}

3) increasing

4) decreasing

range: the set of output values corresponding to the domain values

domain: the set of input values for which the function is defined

Hope this helps! : )

If the graphs of the linear equations are identical, then there are infinitely many solutions.

If the graphs are not identical, then there are not infinitely many solutions. In this case, there may be either no solutions (lines are parallel but not collinear) or one solution (the lines are not parallel but they intersect).

To find the depth of water in the tank at t = 3 minutes, we need to calculate the volume of water that has been pumped into the tank by that time.

The rate at which water is pumped into the tank is given by r(t) = 100 - 6t ft^3/min.

To find the volume of water pumped into the tank from t = 0 to t = 3, we integrate the rate function over the interval [0, 3]:

V = ∫[0, 3] (100 - 6t) dt

V = [100t - 3t^2/2] evaluated from 0 to 3

V = (100(3) - 3(3)^2/2) - (100(0) - 3(0)^2/2)

V = (300 - 27/2) - 0

V = 300 - 13.5

V = 286.5 ft^3

The volume of water pumped into the tank after 3 minutes is 286.5 ft^3.

To find the depth of water in the tank, we need to divide this volume by the cross-sectional area of the tank.

The tank has a radius of 6 feet, so its cross-sectional area is given by:

A = πr^2

A = π(6)^2

A = 36π ft^2

Now, we can find the depth of water:

depth = V / A

depth = 286.5 / (36π)

depth ≈ 2.53 ft

Therefore, the depth of water in the tank at t = 3 minutes is approximately 2.53 feet.

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Answer:

-4

Step-by-step explanation:

-1.5 (4-r) = -12   Distribute the -1.5.  

-6 - 1.5r = -12   Add 6 to both sides.

-1.5r = 6  Divide both sides by -1.5.

r = -4

Answer:

\( \boxed{\sf r = - 4} \)

Step-by-step explanation:

\( \sf Solve \: for \: r: \\ \sf \implies - 1.5(4 - r) = - 12 \\ \\ \sf Divide \: both \: sides \: of \: - 1.5(4 - r) = - 12 \: by \: - 1.5 : \\ \sf \implies \frac{ - 1.5(4 - r)}{ - 1.5} = \frac{ - 12}{ - 1.5} \\ \\ \sf \frac{ \cancel{ - 1.5}}{ \cancel{ - 1.5}} = 1 : \\ \sf \implies 4 - r = \frac{ - 20}{ - 1.5} \\ \\ \sf \frac{ - 20}{ - 1.5} = 8 : \\ \sf \implies 4 - r = 8 \\ \\ \sf Subtract \: 4 \: from \: both \: sides: \\ \sf \implies (4 - \boxed{ \sf 4}) - r = 8 - \boxed{ \sf 4} \\ \\ \sf 4 - 4 = 0 : \\ \sf \implies - r = 8 - 4 \\ \\ \sf 8 - 4 = 4 : \\ \sf \implies - r = \boxed{ \sf 4} \\ \\ \sf Multiply \: both \: sides \: of - r = 4 \: by \: - 1: \\ \sf \implies - r \times ( - 1) = 4 \times ( - 1) \\ \\ \sf - r \times ( - 1) = r : \\ \sf \implies r = 4 \times ( - 1) \\ \\ \sf \implies r = - 4\)

Answer:

$ 2.55 or less

Step-by-step explanation:

We have if they buy 6 cans of corn and 2 boxes of pasta are priced at $ 15.75 or less, they also tell us that the price of a can of corn is $ 0.50 + half the price of a box of pasta. Let's formulate the equation, let "x" be the cost of the can of corn and "y" be the cost of the box of pasta.

6 * x + 2 * y <= 15.75

x = 0.5 + y / 2

replacing:

6 * (0.5 + y / 2) + 2 * y <= 15.75

3 + 3 * y + 2 * y <= 15.75

5 * and <= 15.75-3

y <= 12.75 / 5

y <= 2.55

replacing in x:

x = 0.5 + 2.55 / 2 = 1.775

Which means that the price of a can of corn is $ 1,775 and for the box of pasta it is $ 2.55 or less.

Answer:

The answer is 2.55

Step-by-step explanation:

hope this helps

There are initially 750 bacteria. There are approximately 2.11 x 10^49 bacteria after 15 minutes. It takes approximately 0.111 minutes for the number of bacteria to double.

a. The initial number of bacteria (when t=0) can be found by plugging t=0 into the equation A(t) = 750e^(6.25t). So, A(0) = 750e^(6.25*0) = 750e^0 = 750*1 = 750. Thus, there are initially 750 bacteria.

b. To find the number of bacteria after 15 minutes, plug t=15 into the equation: A(15) = 750e^(6.25*15). A(15) ≈ 2.11 x 10^49. So, there are approximately 2.11 x 10^49 bacteria after 15 minutes.

c. To find the time it takes for the number of bacteria to double, set A(t) equal to twice the initial amount, 2 * 750 = 1500: 1500 = 750e^(6.25t). Solve for t by dividing both sides by 750, then taking the natural logarithm: ln(2) = 6.25t. Finally, divide by 6.25: t ≈ 0.111. Thus, it takes approximately 0.111 minutes for the number of bacteria to double.

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Answer:

The number is 0.

Step-by-step explanation:

Let's say the number is "n"

5(-5+n)=-25

rearrange:

5(n-5)=-25

Simplify:

5n-25=-25

rearrange:

5n=-25+25

simplify:

5n=0

n=0

Answer: .416666667

Step-by-step explanation: Take 80 and divide it by 192.0= .416666667

Step-by-step explanation:

from midpoint formula p(x,y)= -2 +(-3)÷2 ,-8+(-12)÷2

=-5÷2 , -20÷2

= -2.5 , -10

The required negative function h(x) with a y-intercept at "-4" with one solution is x + 4

The y-intercept of an equation is the pint where the x-value of the function is 0, that is;

f(-4) = 0

Since the solution has one solution, hence it will be linear in nature

h(x) = x + 4

This gives the required negative function h(x) with a y-intercept at "-4" with one solution

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Answer:

-x^2+y+6x-8

hope this helps

Answer:

V= 18 in^3

Step-by-step explanation:

Volume = length x width x height

V = 2 x 2 and 1/4 x 4

V = 8 x 2 and 1/4

V = 32/4 x 9/4

V = 18 in^3

Answer:

18in^3

Step-by-step explanation:

2in x2 1/4 in x4 in=

2x9/4x4=18in^3

Cost to put a 0. 5 ft layer of topsoil on the entire garden is $1000.

The quantity of square units required to completely fill a square is known as the area of a square. The region that lies inside the confines of a flat item or a two-dimensional figure is generally referred to as the area. Measurements are made in square units, with square meters serving as the reference unit 

Area of a Square = Side × Side.

Therefore, the area of square = Side square units.

Side of a square garden= 10 ft.

Area of a square garden= Side × Side= 10 × 10 =100 square ft.

Cost of the whole garden = 100×$5 =$500

Cost to put a 0. 5 ft layer of topsoil on the entire garden =$500/0.5

=$1000

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The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000

According to the given statement

we have given that the

side length of the square garden is 10ft.

topsoil cost per foot is $5

And we have to find the cost which required to put a 0. 5 ft layer of topsoil on the entire garden.

So,

The  side length of the square garden is 10ft.

Now, the volume of the cube is (a)^2

And

Total volume of cube = 10*10

Total volume of cube = 100 per square foot.

Now, we find the cost required for a topsoil.

Cost required to put a topsoil of 1 foot in the total volume of cube = volume*cost

So,

Cost required to put a topsoil of 1 foot in the total volume of cube = 1000*5

Cost required to put a topsoil of 1 foot in the total volume of cube = $5000

if we put a topsoil of 0.5 feet then

The cost required = $5000/0.5

The cost required = $1000.

So, The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000

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Answer:

x>125

Step-by-step explanation:

Answer:

x>125

Step-by-step explanation: