A mechanic's tool set is on sale for $204 after a markdown of 40% off the regular price. Find the regular price.

Greetings from Brasil...

We know that the entire length of a circle its:

C = 2πR

C = 2π8

C= 16π      circumference length

now rule of 3:

 length              º

  16π   ---------  360

     X   ---------  135

360X = 135 · 16π

X = 2160π/360

Step-by-step explanation:

Answer:

[tex]z^5-y^5[/tex]

Step-by-step explanation:

=> [tex](z^3*z^2)-(y^4*y)[/tex]

When bases are same, powers are to be added

=> [tex](z^{3+2})-(y^{4+1})[/tex]

=> [tex]z^5-y^5[/tex]

P.s. Yessss, Wishing should be a moderator so that he can delete all the absurd or plagiarized answer!!!!!!!!

Answer:

18 1/5

Step-by-step explanation:

Hey there!

Well to multiply them let's make them improper.

13/3 * 21/5

13*21 = 273

3*5 = 15

273/15

Simplified

18 1/5

Hope this helps :)

Answer:

[tex]\huge\boxed{4\dfrac{1}{3}\times4\dfrac{1}{5}=18\dfrac{1}{5}}[/tex]

Step-by-step explanation:

[tex]4\dfrac{1}{3}\times4\dfrac{1}{5}\\\\\bold{STEP\ 1}\\\text{convert the mixed numbers to the improper fractions}\\\\4\dfrac{1}{3}=\dfrac{4\times3+1}{3}=\dfrac{12+1}{3}=\dfrac{13}{3}\\\\4\dfrac{1}{5}=\dfrac{4\times5+1}{5}=\dfrac{20+1}{5}=\dfrac{21}{5}\\\\\bold{STEP\ 2}\\\text{simplify fractions}\\\\4\dfrac{1}{3}\times4\dfrac{1}{5}=\dfrac{13}{3}\times\dfrac{21}{5}=\dfrac{13}{1}\times\dfrac{7}{5}\\\\\bold{STEP\ 3}\\\text{multiply numerators and denominators}\\\\=\dfrac{13\times7}{1\times5}=\dfrac{91}{5}[/tex]

[tex]\bold{STEP 4}\\\text{convert the improper fraction to the mixed number}\\\\=\dfrac{91}{5}=\dfrac{90+1}{5}=\dfrac{90}{5}+\dfrac{1}{5}=18\dfrac{1}{5}[/tex]

Answer:

13 2/5

Step-by-step explanation:

a = 2 and b = -3

so the question asks whats.... a^3 - b^3/5

First we plug in the values of a and b

(2)^3 - (-3)^3 /5

Now we solve the ones in paranthesis first

(2)^3 = 8 because 2×2×2 and

-(-3)^3 forget about the - outside the parenthesis so

(-3)^3 = (-27) because (-3)×(-3)×(-3)

now we put it back together

8 -(-27)/5

the two minus become plus so

8 + 27/5

Now we solve it like fractions

8 and 27/5

simplify

13 and 2/5

Hope that helps!

Answer: 3

Step-by-step explanation:

7x=21 21/7=3

Answer:

4 ounces

Step-by-step explanation:

6x2/3= 4

Answer:

Slope = -2

Step-by-step explanation:

You want to get it to the slope intercept form first.

2y = -4x + 3

Divide by 2

y = -2x + 3/2

Parallel means in the new slope intercept form there will still be -2x.

y = -2x + b (enter in points ( 0, 1.5 ) )

1.5 = 0 + b

b = 1.5

y = -2x + 1.5 ( just an example of a line parallel to 4x + 2y = 3 )

Answer:

its D. -3c

Step-by-step explanation:

just took the test

The expression that is equivalent to the expression [(6c² + 3c)/(-4c + 2)] ÷ [(2c + 1)/(4c - 2)] is; -3c

[(6c² + 3c)/(-4c + 2)] ÷ [(2c + 1)/(4c - 2)]

[3c(2c + 1)/(-2(2c - 1))] ÷ [(2c + 1)/(2(2c - 1)]

3/2 ÷ 1/5 is the same as; 3/2 × 5/1

Applying this same method to our question gives;

[3c(2c + 1)/(-2(2c - 1))] × [(2(2c - 1)/(2c + 1)]

Read more about simplification of fractions at;https://brainly.com/question/6109670

Answer:

Phoebe's age = 24 years.

Step-by-step explanation:

Given:

Highest Common Factor and Lowest Common Multiple of the ages are 3 and 168 respectively.

Phoebe is 3 years older than Jody.

To find:

The age of Phoebe = ?

Solution:

Here, We have two numbers whose

HCF = 3 and

LCM = 168

Let the age of Phoebe = P years and

Let the age of Jody = J years

As per given statement:

[tex]P = J + 3 ...... (1)[/tex]

Let us learn about the property of LCM and HCF of two numbers.

The product of LCM and HCF of two numbers is equal to the product of the two numbers themselves.

LCM [tex]\times[/tex] HCF = P [tex]\times[/tex] J  

[tex]\Rightarrow P\times J = 3 \times 168 \\\Rightarrow P\times J = 504[/tex]

Putting the value of P from equation (1):

[tex]\Rightarrow (J+3)\times J = 504\\\Rightarrow J^2+3J-504 = 0\\\Rightarrow J^2+24J-21J-504 = 0\\\Rightarrow J(J+24) - 21(J+24) = 0\\\Rightarrow (J - 21)(J+24) = 0\\\Rightarrow J = 21, -24[/tex]

Negative value for age is not possible So, Jody's age = 21 years

Using equation (1):

Phoebe's age = 21 + 3 = 24 years.

Answer:

g(x) = [tex]5(2^{2x} )[/tex]

Step-by-step explanation:

If a function f(x) is vertically stretched by a factor of k, the new function we get in the form of k.f(x).

Rule to be followed,

y = k.f(x)

Where k > 1

If the function is vertically compressed then 0 < k < 1

Following the same rule,

A function, f(x) = [tex]2^{2x}[/tex] when vertically stretched by a factor of 5,

Transformed function will be,

g(x) = [tex]5(2^{2x} )[/tex]

Answer:

a)P [ z > 1,38 ] = 0,08379

b) P [ 1,233 < z < 2,43 ]  = 0,1012

c)  P [ z > -2,43 ]  = 0,99245

Step-by-step explanation:

a) P [ z > 1,38 ] = 1 -  P [ z < 1,38 ]

From z-table  P [ z < 1,38 ] = 0,91621

P [ z > 1,38 ] = 1 - 0,91621

P [ z > 1,38 ] = 0,08379

b)  P [ 1,233 - 2,43 ]  must be  P [ 1,233 < z < 2,43 ]

P [ 1,233 < z < 2,43 ]  = P [ z < 2,43 ] - P [ z > 1,233 ]

P [ z < 2,43 ]  = 0,99245

P [ z > 1,233 ] = 0,89125    ( approximated value  without interpolation)

Then

P [ 1,233 < z < 2,43 ]  = 0,99245 - 0,89125

P [ 1,233 < z < 2,43 ]  = 0,1012

c) P [ z > -2,43 ]

Fom z-table

P [ z > -2,43 ] = 1 - P [ z < -2,43 ]

P [ z > -2,43 ] = 1 - 0,00755

P [ z > -2,43 ]  = 0,99245

Answer:

x = c × sin(α)

x = 15 x sin(38)

= 9.23492

=      9.2

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

50 because of the 100 of 79 to 7

Answer:

x = -1

y =2

Step-by-step explanation:

3x+ 5y = 7

9x+ 11y = 13

Multiply the first equation by -3 so we can eliminate x

-3 (3x+ 5y = 7)

-9x -15y = -21

Add this to the second equation

-9x -15y = -21

9x+ 11y = 13

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

   - 4y = -8

Divide by -4

-4y/-4 = -8/-4

y=2

Now solve for x

3x+5y = 7

3x+5(2) = 7

3x+10 = 7

Subtract 10

3x = 7-10

3x = -3

Divide by 3

3x/3 = -3/3

x = -1

Answer:

-1, 2

Step-by-step explanation:

Although you already have the answer, here's another method of doing it that may or may not help you someday. First, we solve the top equation for x. We get:

[tex]x = \frac{7}{3} - \frac{5}{3}y\\9x + 11y = 13[/tex]

Now that we know what x is, we can plug it into the bottom equation to solve for y.

[tex]9(\frac{7}{3} - \frac{5}{3}y) + 11y = 13[/tex]

Simplify everything out, and you'll see that y = 2. We can now plug it into our equation to solve for x.

x = 7/3 - 5/3 x 2; x = -1

Answer:

The "formula" for an exponential function is f(x) = a * bˣ where a is the initial value / y-intercept. Therefore, a = 4 so f(x) = 4 * bˣ. To solve for b, we can plug in the values x = 3 and f(x) = 500 which becomes:

500 = 4 * b³

125 = b³

b = 5 so the answer is f(x) = 4 · 5ˣ.

Answer:

f(x)=4(5)x

Step-by-step explanation:

An exponential equation in the form y=a(b)x has initial value a and common ratio b. The initial value is the same as the y-intercept, 4, so the equation is in the form y=4(b)x. Substituting the point (3,500) gives 500=4(b)3. Solve for b to find that the common ratio is 5.

Answer:

we will fail to reject the null hypothesis and conclude that the return rate is less than​ 20%.

Step-by-step explanation:

We are given;

Sample size;n = 6970

Success rate;X = 1334/6970 = 0.1914

Now, we want to test the claim that the return rate is less than p = 0.2, hence the null and alternative hypothesis are respectively;

H0: μ < 0.2

Ha: μ ≥ 0.2

The standard deviation formula is;

σ = √(x(1 - x)/n)

σ = √(0.1914(1 - 0.1914)/6970)

σ = 0.004712

Now for the test statistic, formula is;

z = (x - μ)/σ

z = (0.1914 - 0.2)/0.004712

z = -1.825

From the a-distribution table attached, we have a value of 0.03362.

This p-value gotten from the z-table is more than the significance value of 0.01. Thus, we will fail to reject the null hypothesis and conclude that the return rate is less than​ 20%.

Answer:

x = -1.964636

Step-by-step explanation:

Given equation;

eˣ = 4 - x²

This can be re-written as;

eˣ - 4 + x² = 0

Let

f(x) = eˣ - 4 + x²    -----------(i)

To use Newton's method, we need to get the first derivative of the above equation as follows;

f¹(x) = eˣ - 0 + 2x

f¹(x) = eˣ + 2x         -----------(ii)

The graph of f(x) has been attached to this response.

As shown in the graph, the curve intersects the x-axis twice - around x = -2 and x = 1. These are the approximate roots of the equation.

Since the question requires that we use the negative root, then we start using the Newton's law with a guess of x₀ = -2 at n=0

From Newton's method,

[tex]x_{n+1} = x_n + \frac{f(x_{n})}{f^1(x_{n})}[/tex]

=> When n=0, the equation becomes;

[tex]x_{1} = x_0 - \frac{f(x_{0})}{f^1(x_{0})}[/tex]

[tex]x_{1} = -2 - \frac{f(-2)}{f^1(-2)}[/tex]

Where f(-2) and f¹(-2) are found by plugging x = -2 into equations (i) and (ii) as follows;

f(-2) = e⁻² - 4 + (-2)²

f(-2) = e⁻² = 0.13533528323

And;

f¹(2) = e⁻² + 2(-2)

f¹(2) = e⁻² - 4 = -3.8646647167

Therefore

[tex]x_{1} = -2 - \frac{0.13533528323}{-3.8646647167}[/tex]

[tex]x_{1} = -2 - \frac{0.13533528323}{-3.8646647167}[/tex]

[tex]x_{1} = -2 - -0.03501863503[/tex]

[tex]x_{1} = -2 + 0.03501863503[/tex]

[tex]x_{1} = -1.9649813649[/tex]

[tex]x_{1} = -1.96498136[/tex]         [to 8 decimal places]

=> When n=1, the equation becomes;

[tex]x_{2} = x_1 - \frac{f(x_{1})}{f^1(x_{1})}[/tex]

[tex]x_{2} = -1.96498136 - \frac{f(-1.9649813)}{f^1(-1.9649813)}[/tex]

Following the same procedure as above we have

[tex]x_{2} = -1.96463563[/tex]

=> When n=2, the equation becomes;

[tex]x_{3} = x_2 - \frac{f(x_{2})}{f^1(x_{2})}[/tex]

[tex]x_{3} = -1.96463563- \frac{f( -1.96463563)}{f^1( -1.96463563)}[/tex]

Following the same procedure as above we have

[tex]x_{3} = -1.96463560[/tex]

From the values of [tex]x_2[/tex] and [tex]x_3[/tex], it can be seen that there is no change in the first 6 decimal places, therefore, it is safe to say that the value of the negative root of the equation is approximately  -1.964636 to 6 decimal places.

Newton's method of approximation is one of the several ways of estimating values.

The approximated value of [tex]\mathbf{e^x = 4 - x^2}[/tex] to 6 decimal places is [tex]\mathbf{ -1.964636}[/tex]

The equation is given as:

[tex]\mathbf{e^x = 4 - x^2}[/tex]

Equate to 0

[tex]\mathbf{4 - x^2 = 0}[/tex]

So, we have:

[tex]\mathbf{x^2 = 4}[/tex]

Take square roots of both sides

[tex]\mathbf{ x= \pm 2}[/tex]

So, the negative root is:

[tex]\mathbf{x = -2}[/tex]

[tex]\mathbf{e^x = 4 - x^2}[/tex] becomes [tex]\mathbf{f(x) = e^x - 4 + x^2 }[/tex]

Differentiate

[tex]\mathbf{f'(x) = e^x +2x }[/tex]

Using Newton's method of approximation, we have:

[tex]\mathbf{x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)}}[/tex]

When x = -2, we have:

[tex]\mathbf{f'(-2) = e^{(-2)} +2(-2) = -3.86466471676}[/tex]

[tex]\mathbf{f(-2) = e^{-2} - 4 + (-2)^2 = 0.13533528323}[/tex]

So, we have:

[tex]\mathbf{x_{1} = -2 - \frac{0.13533528323}{-3.86466471676}}[/tex]

[tex]\mathbf{x_{1} = -2 + \frac{0.13533528323}{3.86466471676}}[/tex]

[tex]\mathbf{x_{1} = -1.96498136}[/tex]

Repeat the above process for repeated x values.

We have:

[tex]\mathbf{x_{2} = -1.96463563}[/tex]

[tex]\mathbf{x_{3} = -1.96463560}[/tex]

Up till the 6th decimal places,

[tex]\mathbf{x_2 = x_3}[/tex]

Hence, the approximated value of [tex]\mathbf{e^x = 4 - x^2}[/tex] to 6 decimal places is [tex]\mathbf{ -1.964636}[/tex]

Read more about Newton approximation at:

https://brainly.com/question/14279052

Answer:

C-(7)

Step-by-step explanation:

Given figure is a trapezoid and 21 - x is the mid segment.

Therefore by mid-segment formula of a trapezoid, we have:

21 - x = 1/2(17 + 11)

21 - x = 1/2 * 28

21 - x = 14

21 - 14 = x

7 = x

x = 7

Answer:

-1

Step-by-step explanation:

Anything raised to  0 is 1

Multiply i 1 by  1

Simplify.

Rewrite i2 as −1

Move −1  to the left of i

Rewrite −1 i as −i

Factor out i2

Rewrite i2 as −1

Rewrite i2 as  −1

Rewrite i4 as 1

Multiply −1 by  1

Answer:

$9.95.

Step-by-step explanation:

Let's say that you are buying a avatars and b bats.

3a + 3b = 29.85

Divide all terms by 3.

a + b = 9.95

You will pay $9.95 if you buy one of each.

Hope this helps!

the first number is 11 and the second one is 26

Answer:

this is the answer with the working

Answer:

2x+23

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

because if the surgery has a 92% success rate and the splints have a 72% success rate then surgery would be recommended because it has a higher success rate

Answer:

PR=8x+4

Step-by-step explanation:

Given:

PQ=3x-2

QR=5x+6

Required:

PR=?

Formula:

PR=PQ+QR

Solution:

PR=PQ+QR

PR=3x-2+5x+6

PR=3x+5x+6-2

PR=8x+4

Hope this helps ;)❤❤❤

Answer:

4(2x + 1)

Step-by-step explanation:

4(2x + 1)

Not the greatest picture; I think it's trying to be a house, an A frame with a rectangular base.

This is a prism with a side 3 equilateral triangle at the end and a length of 6.

The area of the triangle is

[tex]\Delta = \dfrac{\sqrt{3}}{4} s^2[/tex]

The volume is area times length,

[tex]V = L \Delta = \dfrac{\sqrt{3}}{4} s^2 L[/tex]

[tex]V = \dfrac{\sqrt{3}}{4} (3^2) 6 = \dfrac{27}{2} \sqrt{3}[/tex]

Answer: (27/2) √3

Answer:

$435,000

Step-by-step explanation:

$760 per month * 12 months = $9,120

The minimum rent requires an annual rental cost of $9,120.

The annual rent was $20,520.

The excess was $20,520 - $9,120 = $11,400.

The amount of $11,400 of the rent was due to the gross sales in excess of $150,000.

$11,400 is 4% of the amount in excess of $150,000.

Let the amount in excess of $150,000 = x.

$11,400 = 4% of x

0.04x = 11,400

x = 285,000

$285,000 is the amount in excess of $150,000.

Total gross sales volume = $285,000 + $150,000 = $435,000

Answer:

Cost=x25+200

Step-by-step explanation:

The amount of people is unknown but each person the cost will be $25 for refreshments per each passenger; the limo cost $200 once you figure out how many people will go to prom x will be, EXAMPLE: x=6 times $25 plus $200 which will give you the cost.

Answer:

  C.  10

Step-by-step explanation:

The given information tells you that triangles YZX and YZA are congruent, so ZA = ZX = 10.

Answer:

55%

Step-by-step explanation:

Because 11/20= 0.55

0.55=55%