I need help solving this

Answer: x=1, x=0

Step-by-step explanation:

Answer:

-14x+10

Step-by-step explanation:

-2(7x - 5)

-14x+10

well thats hard

Answer:

\(\rm{-14x+10\)

Step-by-step explanation:

Hi there!

The Distributive Property states that

a(b+c)=ab+ac

We multiply a by everything inside the parentheses.

-2(7x-5)

Multiply -2 by 7x and -5:

-14x+10

Thus, \(\rm{-14x+10\) is the answer.

\(\star\star\)Hope it helps!

Enjoy your day!

\(\bold{GazingAtTheStars}\)

The vector z is (7/4, -5/4, -1/4).

To find the vector z, we need to isolate it in the given equation. First, we rearrange the equation to get:

4z = w + 2u

Then, we can substitute the given values for w and u:

4z = 5, -1, -5 + 2(-1, 2, 3)

Simplifying this gives:

4z = 7, -5, -1

Finally, we can solve for z by dividing both sides by 4:

z = 7/4, -5/4, -1/4


In summary, to find the vector z, we rearranged the given equation and substituted the values for w and u. We then solved for z by dividing both sides by 4. The resulting vector is (7/4, -5/4, -1/4).

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Solution:

Given the function;

The graph of the function is;

The x-intercept is;

The y-intercept is;

The relative minimum is;

The relative maximum does not exist. Thus;

The points of inflection are;

Lastly, it has no vertical asymptote. The equation of the asymptote is;

(a) The expected cost per hour if hiring Alex can be expressed as:

Cost_Alex = (12 + 0.10 * 60 * E[T_Alex]) + E[W_Alex] * 0.10 * 60

The expected cost per hour if hiring Pat can be expressed as:

Cost_Pat = (Wage_Pat + 0.10 * 60 * E[T_Pat]) + E[W_Pat] * 0.10 * 60

To determine the expected cost per hour, we need to consider several components. For Alex, the cost consists of the hourly wage of $12 and the value of customer waiting time.

The value of customer waiting time is calculated by multiplying the average waiting time (E[T_Alex]) by the value assigned to each minute (0.10 * 60) and then summing it with the expected waiting time (E[W_Alex]) multiplied by the same value.

Similarly, for Pat, the cost consists of Pat's wage (Wage_Pat) and the value of customer waiting time. The value of customer waiting time is calculated by multiplying the average waiting time (E[T_Pat]) by the value assigned to each minute (0.10 * 60) and then summing it with the expected waiting time (E[W_Pat]) multiplied by the same value.

These expressions allow for comparing the expected cost per hour when hiring either Alex or Pat.

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The federal income tax that Benjamin owes if he earned $105,000 in taxable income is $19374.50

It should be noted that Benjamin earned $105,000 in taxable income in a year from his job as a software developer.

Therefore, the amount that he will pay as tax will be calculated as:

$14382.50 + 24% × ($105,000 - $84200)

= $14382.50 + (24% × $20800)

= $14382.50 + $4992

= $19374.50

Therefore, the federal income tax that Benjamin owes if he earned $105,000 in taxable income is $19374.50

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Answer:

8n is the same as 8 times a number.

That means...

Continuation:

\(8 * n = 128\)

\(128 \div 8 = n\)

\(128 \div 8 = 16\)

Therefore, n is 16.

Hayato spent approximately 16,383.13 Japanese Yen. Rounded to the nearest yen, the answer is (d) 16384.

To find out how much Hayato spent in Japanese Yen, we need to multiply the amount he spent in USD by the exchange rate:

$203 * 80.71 = 16,383.13

So, Hayato spent approximately 16,383.13 Japanese Yen. Rounded to the nearest yen, the answer is (d) 16384.

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A number line goes from negative 2 to positive 8. A closed circle is at negative 2. Everything to the right of the circle is shaded.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.

An inequality is given as:

⇒ (-5/2)x - 3 ≤ 2

⇒  (-5/2)x  ≤ 2 + 3

⇒  (-5/2)x  ≤ 5

⇒ x  ≥ 5 (-2/5)

⇒ x  ≥ -2

The required graph has been attached which shows the solution set for a number line goes from negative 2 to positive 8. A closed circle is at negative 2. Everything to the right of the circle is shaded.

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Answer:

\(k=2\)

Step-by-step explanation:

If the terms form an arithmetic sequence, then there should be a common difference. That is, the difference between the second and first terms should be equal to the difference of the third and second terms.

The difference between the second and first terms is

\(k-(3k+1)\\=k-3k-1\\=-2k-1.\)

The difference between the third and second terms is

\(-3-k.\)

Since the differences must be the same for the terms to form an arithmetic sequence, then \(-2k-1=-3-k.\) Solving for k results in

\(-2k-1=-3-k\\-2k+k=-3+1\\-k=-2\\k=2.\)

Hence, the value of k is 2.

Answer:

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

We know that any term of an AP is the average of the terms equidistant from it:

or

Apply this to the given terms and solve for k:

Answer:

4/5x + 8/5 = g(x)

Step-by-step explanation:

−4x−6=−5y+2

Solve for y

Subtract 2 from each side

−4x−6-2=−5y+2-2

-4x -8 = -5y

Divide each side by -5

-4x/-5 -8/-5 = -5y/-5

4/5x + 8/5 = y

Replace y with g(x)

4/5x + 8/5 = g(x)

The values of the probabilities are P(Jack) = 1/13, P(Red) = 1/2, P(Red jack) = 1/26 and P(Red jack then 7) = 2/663

The probability of pulling a Jack

In a standard deck of card, we have

Deck = 52

Jack = 4

This means that

P(Jack) = 4/52

Simplify

P(Jack) = 1/13

The probability of pulling a red card

In a standard deck of card, we have

Deck = 52

Red = 26

This means that

P(Red) = 26/52

Simplify

P(Red) = 1/2

The probability of pulling a red jack

In a standard deck of card, we have

Deck = 52

Red jack = 2

This means that

P(Red jack) = 2/52

Simplify

P(Red jack) = 1/26

In a standard deck of card, we have

Deck = 52

Red Jack = 2

n(7) = 4

This means that

P(Red and 7) = 2/52 * 4/51

Simplify

P(Red and 7) = 2/663

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Answer:

7 1/2 miles

Step-by-step explanation:

These step are going to be in ratios.

Step 1: figure out how to write down the ratio, in this, like ____unit per ______ unit.

1 1/2 miles per 1/5 of an hour, or 1 1/2 / 1/5

Step 2: In order to do miles for just a whole 1 hour, you would need to multiply by the reciprocal for 1/5, which would be like this:

1/5*5/1 = 1

Then, you need to multiply miles by 5/1 (or 5)

1 1/2*5= 7 1/2

and now your unit rate for miles per hour is 7 1/2 miles per hour :)

Answer:

x=3

Step-by-step explanation:

Angle TRS would be 180-45x as the angle lies on a straight line and we know angles on a straight line add up to 180 degrees

Then I would add the three angles in the triangle and equate it to 180 degrees as angles in any triangle add up to 180 degrees

therefore:

(180-45x)+25x+(57+x)=180

180-45x+26x+57=180

237-19x= 180

237-180=19x

57=19x

57/19=x

3=x

x is correct as when we substitute it in the angles in the triangle, the interior angles for the triangle does add up to 180

Answer: The Answer is -71.

Step-by-step explanation:

-3 (6)^2 +6 (6) +1

~Calculate 6 to the power of 2 and get 36.

−3×36+6×6+1

~Multiply −3 and 36 to get −108.

−108+6×6+1

~Multiply 6 and 6 to get 36.

−108+36+1

~Add −108 and 36 to get −72.

−72+1

~Add −72 and 1 to get −71.

~Final Answer: -71.

(Hoped this helped :D)

Answer: -71

Step-by-step explanation:

-3(6)^2+6(6)+1

-3 (36) + 36 +1

-108 + 36 + 1

-108 + 37

=

-71

Answer:

180000

Step-by-step explanation:

Solve

Given: Both Raised $240,000, Blin raised $60,000 more than Alex

To find: How much money Blin raised

Firstly, since two people raised that amount, divide the amount by 2 of them

240,000 ÷ 2 = 120,000

Nextly, subtract 60,000 from Alex's share; because Brin has more so Alex has less, less means subtract.

120,000 - 60,000 = 60,000

Now, Add that amount to Brin's share; again, Brin has more so Alex has less, less means subtract.

60000 + 120,000 = 180,000

Therefore, Brin raised $180,000

Confirm: 180,000 + 60,000 = 240,000

(For your information, Alex has $60,000)

The change in profit (ΔP) when the number of units (Δx) increases by 5, based on the given marginal profit function, is -18331.50

To find the change in profit (ΔP) when the number of units (Δx) increases by 5.

we need to evaluate the marginal profit function and multiply it by Δx.

The marginal profit function is given by dP/dx = 12.1(60 - 3x).

We are given the value of x as 121, so we can substitute it into the marginal profit function to find the marginal profit at that point.

dP/dx = 12.1(60 - 3(121))

= 12.1(60 - 363)

= 12.1(-303)

= -3666.3

Now, we can calculate the change in profit (ΔP) by multiplying the marginal profit by Δx, which is 5 in this case.

ΔP = dP/dx×Δx

= -3666.3 × 5

= -18331.5

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Using the given value numbers, we can represent the number as 203,167.

To represent the given number using the value numbers 3, 80, 7, 30, 200,000, 3,000, and 50, we need to understand the place value system. In this system, each digit's position determines its value relative to the other digits in the number.

Let's break down the given value numbers:

3 represents the digit 3.

80 represents the digit 8 in the tens place and 0 in the ones place.

7 represents the digit 7.

30 represents the digit 3 in the tens place and 0 in the ones place.

200,000 represents the digit 2 in the hundred thousands place and all other digits as zeros.

3,000 represents the digit 3 in the thousands place and all other digits as zeros.

50 represents the digit 5 in the tens place and 0 in the ones place.

Now let's combine these value numbers to form a single number:

(200,000) + (3,000) + (80) + (30) + (7) + (50)

To simplify this expression, we can add up each component:

200,000 + 3,000 + 80 + 30 + 7 + 50 = 203,167

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Answer: D 10

Step-by-step explanation:

The new pH of the solution after 0.0200 mol of NaOH is added is 5.05.

Given data:

[HA] = 0.5 M

[A^-] = 0.75 M

Ka = 1.8×10⁻⁵

A) pH of this buffer before anything else is added:

To calculate the pH of this buffer, we will use the Henderson-Hasselbalch equation, which is:

pH = pKa + log ([A^-]/[HA])

Where pKa is the dissociation constant of the acid.

The dissociation constant of the acid is given as Ka = 1.8 × 10⁻⁵.

Therefore, pKa = -log (1.8 × 10⁻⁵) = 4.74.

Thus, pH = 4.74 + log (0.75/0.5).

pH = 4.96.

Therefore, the pH of this buffer before anything else is added is 4.96.

B) What will be the new pH of this solution if 0.0200 mol of NaOH is added:

When we add NaOH, it will react with the acidic species (HA), resulting in its dissociation. Therefore, we will have to make an ICE table to calculate the new pH.

Before the addition of NaOH:

[HA] = 0.5 M

[A^-] = 0.75 M

Let's assume that x moles of HA dissociate due to the addition of NaOH. Therefore, [OH^-] = 0.0200 mol/L.

Volume of the buffer solution = 100 mL = 0.1 L.

Using the moles of NaOH, we can find out the number of moles of HA that have reacted with NaOH:

Moles of NaOH = 0.0200 mol/L × 0.1 L = 0.002 mol.

Therefore, 0.002 mol of HA has reacted with NaOH.

To find out the new concentration of [HA], we will subtract the moles of HA that reacted with NaOH from the initial concentration of HA:

[HA] = 0.5 mol/L - 0.002 mol/0.1 L = 0.48 M.

Next, we will find out the new concentration of [A^-] by adding the moles of OH⁻ to the initial concentration of [A^-]:

[A^-] = 0.75 M + (0.002 mol/0.1 L) = 0.77 M.

Now we can use the Henderson-Hasselbalch equation to find the new pH:

pH = pKa + log ([A^-]/[HA]).

pH = 4.74 + log (0.77/0.48).

pH = 5.05.

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Answer:

196 miles

Step-by-step explanation:

distance (D) is calculated as

D = S × T ( S is average speed and T is time in hours )

here T = 3 and a half hours = 3.5 hours and S = 56 , then

D = 56 × 3.5 = 196 miles

Answer:

A.5

Step-by-step explanation:

It's the correct answer

The correct number which can be inserted in the box to make the equation true is, 5

as,

⇒ 10x + 40y=5 (2x + 8y)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 10x + 40y

Now, We can simplify as;

⇒ 10x + 40y

⇒ 5×2x + 5×8y

⇒ 5 (2x + 8y)

The correct number which can be inserted in the box to make the equation true is, 5

as,

⇒ 10x + 40y=5 (2x + 8y)

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(e) The complex number 5+2i in exponential form is (\sqrt{29}e^{i\text{tan}^{-1}\left(\frac{2}{5}\right)}\).
(f) The new period is \(0.31\sqrt{\frac{m}{1.6k}}\) when the spring constant is increased by 60%.

(e) To convert a complex number to exponential form, we need to determine its magnitude and argument. For the complex number 5+2i, the magnitude is given by the formula \(A = \sqrt{{\text{Re}}^2 + {\text{Im}}^2}\) where Re and Im represent the real and imaginary parts, respectively. In this case, the magnitude is \(\sqrt{5^2 + 2^2} = \sqrt{29}\).

The argument, \(\theta\), can be found using the formula \(\theta = \text{tan}^{-1}\left(\frac{{\text{Im}}}{{\text{Re}}}\right)\). For 5+2i, the argument is \(\text{tan}^{-1}\left(\frac{2}{5}\right)\).

Thus, the complex number 5+2i in exponential form is \(Ae^{i\theta} = \sqrt{29}e^{i\text{tan}^{-1}\left(\frac{2}{5}\right)}\).



(f) The period of a spring-mass system is determined by the mass and the spring constant. If the spring constant is increased by 60%, we can calculate the new period using the formula \(T' = T\sqrt{\frac{m}{k'}}\).

Given the original period \(T = 0.31\) seconds and an increase in the spring constant by 60%, we have \(k' = 1.6k\) where \(k\) is the original spring constant.

Substituting the values into the formula, the new period is \(T' = 0.31\sqrt{\frac{m}{1.6k}}\).

Increasing the spring constant causes the spring to become stiffer, resulting in a shorter period. The new period, \(T'\), will be less than the original period \(T\) due to the increased stiffness of the spring.

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Answer:

$430535434

Step-by-step explanation:

$430,934,932-$399,498 = 430535434

As per the Maclaurin series, the value of the function is written as 2.8521

The term Maclaurin series is defined as  a function that has expansion series that gives the sum of derivatives of that function.

Here we have given that the function is \(\sum\frac{(-1)^n\pi^{2n}}{4^{2n}(2n)!}\)

And we need to find the sum of series by using the Maclaurin series as

Now, the sum of series is calculated as,

=>f(n) =  \(\sum\frac{(-1)^n\pi^{2n}}{4^{2n}(2n)!}\)

When we put the value on n = 0, then we get,

=> f(0) = [1 x 3.14]/1] =  3.14

Now, we have to put the value of the function, the value of x as 1,

Then we get,

=> f(1) = [-1 x 9.8596] / [16 x 2]

=> f(1) = -0.308

And then we have to put the value of function for the value of x as 2,

Then we get,

=> f(2) = [1 x 30.959] / [64 x 24]

=> f(2) = 0.0201

Then the sum of the series is

=> 3.14 - 0.308 + 0.0201

=> 2.8521

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Marcus will receive $5,193.82 when he redeems the CD at the end of the ​11 years.

Compound interest is computed as interest on the principle of an account plus any accrued interest.

Compound interest can be calculated using the following formula:

A=P(1+r/n\()^{nt}\)

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

Marcus receives an inheritance of ​$3,000.

He decides to invest this money in an 11 ​-year certificate of deposit​ (CD) that pays 5.0 ​% interest compounded monthly.

P = $3,000

r =5%

t = 11 years

A=P(1+r/n\()^{nt}\)

Substitute the values of P, r and t in the formula,

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 rate per year,

Then solve the equation for A

A=P(1+r/n\()^{nt}\)

A = 3,000.00(1 + 0.05/12\()^{(12)(11)}\)

A = 3,000.00(1 + 0.0041666666666667\()^{132}\)

A = $5,193.82

Therefore, Marcus will receive $5,193.82.

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Answer:

y=1/4x+4

Step-by-step explanation:

because the slope is 1/4

so k=1/4

y=1/4x+b

put the point into the equation

so

6=1/4*8+b

so

b=4

Answer:

The answer would be $3.75

This can be easy if you take $5 and multiply it by 3/4 and you will get that answer!

I hope this helps :)

Step-by-step explanation:

Plz mark B R A I N L I E S T

Answer:

as always o.5

Step-by-step explanation: