Select the quadratic equation that has no real solution.9x2–25x-30 = 09x? – 25x +30 = 09x2-30x +25= 0o 9x2-30x – 25 = 0

The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

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$3,244.21 can be withdrawn each month for 25 years, assuming an interest rate of 7% and a starting principal of $500,000.

PV = PMT × [1 - (1 + r)⁻ⁿ] / r

where:

PV is the present value of the annuity

PMT is the payment amount per period

r is the interest rate per period

n is the total number of periods

In this case, we want to withdraw a fixed amount each month for 25 years, which represents 12 ×25 = 300 periods.

The interest rate per period is 7% / 12 = 0.5833%.

Let's assume that you want to withdraw a fixed amount each month, and you want the withdrawals to last for 25 years. To calculate the amount you can withdraw each month,

PV = PMT × [1 - (1 + r)⁻ⁿ] / r

500,000 = PMT × [1 - (1 + 0.005833)⁻³⁰⁰] / 0.005833

Solving for PMT, we get:

PMT = PV × r / [1 - (1 + r)⁻ⁿ]

PMT = 500,000 × 0.005833 / [1 - (1 + 0.005833)⁻³⁰⁰]

PMT = $3,244.21

Therefore, you can withdraw $3,244.21 each month for 25 years, assuming an interest rate of 7% and a starting principal of $500,000.

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Answer:

518

Step-by-step explanation:

let x be the number of people who likes the science the most.

x / 700 x 100 0.74

x = 518

Answer:

518 students

Step-by-step explanation:

74% of 700

Answer:

Parallel lines ALWAYS have the same slope

Step-by-step explanation:

The equations have unequal slopes, meaning they aren't parallel.

Step-by-step explanation:

8q + 6 = 4q - 14

8q - 4q = - 14 - 6

4q = - 20

q = -20/4 = -5

q = -5

hope this answer helps you dear take care and may u have a great day ahead!

For Mai's conclusion to be true, the following inequality should be satisfied -

M{x} > G{x}               for all {x} ∈ R

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Mai says f(x) is always greater than g(x) for the same value of x.

Now, for Mai's conclusion to be true, the following inequality should be satisfied -

M{x} > G{x}               for all {x} ∈ R

Therefore, for Mai's conclusion to be true, the following inequality should be satisfied -

M{x} > G{x}               for all {x} ∈ R

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Answer:

4.1x10^5

Step-by-step explanation:

Answer:

a) P(75 < x < 80 ) = 0.2088

b) The probability that  average height of all humans less than 65

P( X < 65 ) = 0.0495

Step-by-step explanation:

Step(i):-

Given mean of the Population = 72

Given variance of the Population = 18 inches.

Standard deviation of the Population = √18 = 4.242

Let 'x' be the random variable in Normal distribution

a)

Given X₁ = 75

\(Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{75-72}{4.242} = 0.70721\)

Given X₂= 80

\(Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{80-72}{4.242} = 1.885\)

The probability that  average height of all humans between 75 and 80

\(P(75 < X < 80 ) = P(0.70721 < Z < 1.885)\)

                        = | A ( 1.885) - A( 0.70721|

                       = 0.4699 - 0.2611

                      = 0.2088

P(75 < x < 80 ) = 0.2088

b)

Step(ii):-

Given X₁ = 65

\(Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{65-72}{4.242} = -1.650\)

The probability that  average height of all humans less than 65

P( X < 65 ) = P( Z < - 1.650 )

                 = 1 - P( Z > 1.650)

                = 1 - ( 0.5 + A (1.650))

              =  0.5 - A( 1.65)

             = 0.5 - 0.4505

             = 0.0495

The probability that  average height of all humans less than 65

P( X < 65 ) = 0.0495

Answer:

y = x/2 + 1

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Write equation

x - 4 = 2(y - 3)

Step 2: Solve for slope-intercept form

Answer:

Step-by-step explanation:

\(\tt -33=x+1\)

First of all, let's flip the equation:-

\(\tt x+1=-33\)

Subtract 1 from both sides:-

\(\tt x+1-1=-33-1\)

Simplify:-

\(\tt x=-34\)

_________________

Hope this is what you're looking for!

Have a great day!

Answer:

-34

Step-by-step explanation:

Answer:

t and u are supplementary as opposite angles of a cyclic quadrilateral.

t = 180 - (81 + 53) = 46

u = 180 - t = 180 - 46 = 134

v and w are equal as opposite angles to equal sides.

v = w = 1/2(180 - u) = 1/2(180 - 134) = 23

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Simplify the following:

((4 + 1/5)×5)/14

((4 + 1/5)×5)/14 = ((4 + 1/5)×5)/14:

((4 + 1/5)×5)/14

Put 4 + 1/5 over the common denominator 5. 4 + 1/5 = (5×4)/5 + 1/5:

(((5×4)/5 + 1/5) 5)/14

5×4 = 20:

((20/5 + 1/5)×5)/14

20/5 + 1/5 = (20 + 1)/5:

(((20 + 1)/5)×5)/14

20 + 1 = 21:

(21/5×5)/14

21/5×5 = (21×5)/5:

((21×5)/5)/14

((21×5)/5)/14 = (21×5)/(5×14):

(21×5)/(5×14)

(21×5)/(5×14) = 5/5×21/14 = 21/14:

21/14

The gcd of 21 and 14 is 7, so 21/14 = (7×3)/(7×2) = 7/7×3/2 = 3/2:

Answer:  3/2

The minimum profit occurs at L = 0, where Q = 0.

To find the value of L that maximizes the profit Q = L²\(e^{(0.01L)\).

We need to differentiate Q with respect to L and find the critical points where the derivative equals zero.

Then we can determine whether each critical point is a maximum or a minimum by examining the second derivative.

Testing for critical points:Q = L²\(e^{(0.01L)\)

Q' = \(2Le^{(0.01L)\) + \(0.01 L^2e^{(0.01L)\)

= 0(2L + 0.01L²) \(e^{(0.01L)\)

= 0L (critical point) or 200 \(e^{(0.01L)\)

= 0 (extraneous, ignore)

2L + 0.01L² = 0L(2 + 0.01L) = 0L = 0 or L = -200 (extraneous, ignore)

The only critical point is at L = 0.

Testing for maximum or minimum:Q'' = \(2e^{(0.01L)\) + 0.02Le^(0.01L) + 0.0001L²\(e^{(0.01L)Q''(0)\)

= \(2e^{(0)\) = 2Since Q''(0) > 0,

The critical point at L = 0 is a minimum.

Therefore, there is no value of L that maximizes the profit.

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The values of L that will maximize the profit are 0 and -200

From the question, we have the following parameters that can be used in our computation:

\(Q = L\²e^{0.01L\)

Differentiate the function

So, we have

\(Q' = \frac{L \cdot (L + 200) \cdot e^{0.01L}}{100}\)

Set the equation to 0

\(\frac{L \cdot (L + 200) \cdot e^{0.01L}}{100} = 0\)

Cross multiply

\(L \cdot (L + 200) \cdot e^{0.01L} =0\)

When expanded, we have

L = 0, L + 200 = 0 and \(e^{0.01L} =0\)

When solved for L, we have

L = 0 and L = -200

Hence, the values of L are 0 and -200

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a) The Keynesian cross graphs an economy's planned expenditure function,

\($\mathrm{E}=\mathrm{C}(\mathrm{Y}-\mathrm{T})+\mathrm{I}+\mathrm{G}$\),

and the equilibrium condition that actual expenditure equals planned expenditure.

How do you find the expenditure function?

To derive the expenditure function we can either (i) invert V(·) and solve for M, or (ii) set up the dual of the consumer's choice problem, solve for Hicksian demand functions and substitute them into the objective (i.e., expenditure) function.

The amount by which\($\mathrm{Y}$\)falls is given by the product of the tax multiplier and the increase in taxes

\(: $\Delta \mathrm{Y}=[-\mathrm{MPC} /(1-\mathrm{MPC})] \Delta \mathrm{T}$.\)

c) We can calculate the effect of an equal increase in government expenditure and taxes by adding the two multiplier effects that we used in parts a and b :

\(\Delta \mathrm{Y}=\left[(1 /(1-\mathrm{MPC}))^* \Delta \mathrm{G}\right]-[(\mathrm{MPC} /(1-\mathrm{MPC}))]^* \Delta \mathrm{T}\)

Because government purchases and taxes increase by the same amount, we know that \(\Delta \mathrm{G}=\Delta \mathrm{T}$. Therefore we can rewrite the equation as:$$\Delta \mathrm{Y}=[(1 /(1-\mathrm{MPC}))-(\mathrm{MPC} /(1-\mathrm{MPC}))]^* \Delta \mathrm{G}=\Delta \mathrm{G}\)

This expression tells us that an equal increase in government purchases and taxes increases \($\mathrm{Y}$\) by the amount that \($\mathrm{G}$\) increases. That is, the balanced-budget multiplier is exactly 1 .

Complete question: Consider the Keynesian model with a change in the way that taxes are incorporated: (1) PAE = C + IP + G + NX Definition of Planned Aggregate Expenditure (2) C = C+ mpc (1-1) .y Consumption Function (3) PAE = Y Short-run Equilibrium Condition In this case, taxes paid are proportional to income, i.e. taxes paid are t - Y, where t is the tax rate and 0<t< 1. Disposable income is the part of income after taxes, i.e., (1-t). Y. Solve for the PAE spending line with PAE as a function of Y. What is the slope?

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Answer:

Domain: 0, 1, 2, 3, 4,

Range: 1, 2, 3, 4, 5,

Step-by-step explanation:

Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5,  therefore, the answer is:

Answer:

fudjdhajs gf djdjsiwjsj

The line slants downward from left to right, indicating that as x increases, y decreases.

The given linear equation is -x = 2y + 1. To represent this equation graphically, we need to rearrange it into the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.Rearranging the given equation, we get:2y = -x - 1

Dividing both sides by 2:y = (-1/2)x - 1/2

The slope of the line is -1/2, which means that for every unit increase in x, y decreases by 1/2 unit. The y-intercept is -1/2, indicating that the line intersects the y-axis at (0, -1/2).

Based on this information, the best graph that represents the linear equation y = (-1/2)x - 1/2 is a straight line with a negative slope of -1/2, starting at the point (0, -1/2) and extending infinitely in both directions.

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Answer:

C. 17.1

Step-by-step explanation:

edge

[ 25 , 1.581 ] is the pair that is the mean and standard error of x.

What does standard error mean?

A statistical concept known as the standard error uses standard deviation to assess how well a sample distribution represents a population.

                            The standard error of the mean describes the statistical variation between a sample mean and the population's actual mean. Measures of variability include standard error and standard deviation: The standard deviation describes variation within a single sample.

 n = 80

 μ = 25

 σ² = 200

mean of x =  μ  = 25

 standard error = √ σ²/n

                        = √200/80

                         = 1.581

                         = [ 25 , 1.581 ]

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The box plot that best represents the data is given as follows:

Box plot C.

A box and whisker plot shows these five metrics from a data-set, listed and explained as follows:

The ordered data-set for this problem is given as follows:

0, 4, 4, 5, 6, 6, 8, 8, 12, 12.

The minimum and maximum values are given as follows:

The two middle elements are given as follows:

6 and 6.

Hence the median is:

(6 + 6)/2 = 6.

The first half is 0, 4, 4, 5, hence the first quartile is given as follows:

4.

The second half is 8, 8, 12, 12, hence the third quartile is given as follows:

8.

Hence box plot C is the correct option.

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Answer:

no habla espanol

Step-by-step explanation:

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer:

From 2008 to 2016

Step-by-step explanation:

Answer:

lower bound = 90 - 10 = 80 cm

upper bound = 90 + 10 = 100 cm

lower bound d = 1500 x 80 cm = 120,000 cm

upper bound d = 1500 x 100 cm = 150,000 cm

Distance of upper bond and lower bond is 120,000 and 150,000 centimeter

Given:

Number of steps walk = 1500 steps

Each step count = 90 centimetres

Correction in each step = 10 cm nearset

Find:

Lower bound and upper bound for d

Computation:

Lower bound step length = 90 - 10

Lower bound step length = 80 centimetres

Upper bound step length = 90 + 10

Upper bound step length = 100 centimetres

Lower bound d = 1500 × 80

Lower bound d = 120,000 centimetres

Upper bound d = 1500 × 100

Upper bound d = 150,000 centimetres

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The steps in solving the given expression shows that the result is:

0.92 * 10²

The expression is given as:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

The steps that Maggie followed are:

Step 1: Rewrite the given expression:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

Step 2: Divide the coefficients:

The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:

6.89 / 7.5 = 0.9186667.

Step 3: Divide the powers of 10:

This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²

Step 4: Combine the results:

This gives:

0.9186667 * 10²

Step 5: Simplify the coefficient:

She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.

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Step-by-step explanation:

8x^3 + 24x^2 + 56x + 64x^2 +24x +56

8x^3 + 88x^2 + 80x +56

Answer:

64x^3+88x^2+80x+56

Step-by-step explanation:

(8x+8)(8x^2+3x+7)

64x^3+24x^2+56x+64x^2+24x+56

64x^3+24x^2+64x^2+56x+24x+56

64x^3+88x^2+80x+56

The value of the fraction 7/8 is 0.875

Fraction:

In math, a numerical value that expresses a part of a whole is known as fraction.

The standard form of the fraction is written as,

=> a/b

where a refers the numerator and b refers the denominator.

And the value of b is greeter than zero.

For example, 5/3 is a fraction.

Given,

Here we need to find the value of the fraction 7/8.

We know that,

=> 7/8

is the same as

=> 7÷8

Then by using Long Division for 7 divided by 8 and rounding to a Max of 3 Decimal Places gives us

=> 0.875

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Answer:

w(25) = 96

There are 96 wolves in the year 2020

Step-by-step explanation:

Given:

\(w(x)=14\cdot 1.08^{x}\)

w(25) =

\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves