Kathryn is 1.4 meters tall. Convert her height to feet. Round to the nearest tenth.

Answer:

x² - 3x + 5 - [24÷(x+3)]

Step-by-step explanation:

1. Expand (x³ + 2x - 6x - 9)

            = x³ - 4x - 9

2. Divide [x³ - 4x - 9 by x+3]

            = x² + [(-3x^2-4x-9) ÷ (x+3)]

3. Divide [(-3x^2-4x-9) by (x+3)]

            = -3x + [(5x-9) ÷ (x+3)]

x² - 3x + [(5x-9) ÷ (x+3)]

4. Divide [(5x-9) ÷ (x+3)]

            = 5 + [(-24) ÷ (x+3)]

x² - 3x + 5 + [(-24) ÷ (x+3)]

= x² - 3x + 5 - [24 ÷ (x+3)]

Answer:

See below

Step-by-step explanation:

9 and 8.4 are less than 1 apart, so 9-8.4 must be less than 1. The actual difference is 9-8.4=0.6 which verifies that our answers are true since 0.6<1.

Answer:

Melanie and 2 times ½ a mile

Hopes This helps

Answer:

a=0

Step-by-step explanation:

x²-2x+y²-4y-4=0

(x²-2x+1)+(y²-4y+4)-9=0

(x-1)² + (y-2)² = 3²

Center: (1,2)     radius: 3

(1,2) on line 2x-y+a=0

2*1 - 2 + a = 0

a = 0

Answer:

D

Step-by-step explanation:

Because the discount price is the whole equation 24(1-x),

the original price is 24 technically, and the percent of discount has been given as x...

Answer:

Let's add more steps.

step 6: angle AEB measures 360 - 90 -90 - 70 - 39 = 71° Reason, AECF is a quadrangonal and three of its angle measures 90, 90, and (70+39)

step 7: angles AEB and ABE are congruent: reason triangle ABE is isosceles since AE is conruent to AB

step 8 Angle BAE measures 180 -71-71 = 38°: by difference from the sum of the internal angles.

step 9: Angle BAD measures 90 - BAE = 90 - 38 = 52° Reason angles BAD and BAE are complementary.

QED

[tex]z1=\stackrel{a}{3}+\stackrel{b}{3}i~~ \begin{cases} r = \sqrt{a^2+b^2}\\ r = \sqrt{18}\\[-0.5em] \hrulefill\\ \theta =\tan^{-1}\left( \frac{b}{a} \right)\\ \theta =\frac{\pi }{4} \end{cases}~\hfill z1=\sqrt{18}\left[\cos\left( \frac{\pi }{4} \right) i\sin\left( \frac{\pi }{4} \right) \right] \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{z1}{z2}\implies \cfrac{\sqrt{18}\left[\cos\left( \frac{\pi }{4} \right) i\sin\left( \frac{\pi }{4} \right) \right]} {7\left[\cos\left( \frac{5\pi }{9} \right) i\sin\left( \frac{5\pi }{9} \right) \right]} \\\\[-0.35em] ~\dotfill\\\\ \qquad \textit{division of two complex numbers} \\\\ \cfrac{r_1[\cos(\alpha)+i\sin(\alpha)]}{r_2[\cos(\beta)+i\sin(\beta)]}\implies \cfrac{r_1}{r_2}[\cos(\alpha - \beta)+i\sin(\alpha - \beta)] \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{z1}{z2}\implies \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{\pi }{4}-\frac{5\pi }{9} \right)+i\sin\left( \frac{\pi }{4}-\frac{5\pi }{9} \right) \right] \\\\\\ \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{-11\pi }{36} \right) +i\sin\left( \frac{-11\pi }{36} \right) \right]\implies \cfrac{\sqrt{18}}{7}\left[\cos\left( \frac{83\pi }{36} \right) +i\sin\left( \frac{83\pi }{36} \right) \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{z1}{z2}\approx 0.348~~ + ~~0.496i~\hfill[/tex]

The value of z1/z2 is √18/ 7 (cos ( 11π/36 ) - isin ( 11π/36 )).

"A complex number is the sum of a real number and an imaginary number and it is of the form x + iy and is usually represented by z".

For the given situation,

z1= 3+3i and

z2= 7(cos(5π/9) + i sin (5π/9))

To divide the complex numbers, both should be in same form.

Convert z1 in polar form.

z is of the form x+iy, so, r=[tex]\sqrt{x^{2}+y^{2} }[/tex]

⇒[tex]r=\sqrt{3^{2}+3^{2} }[/tex]

⇒[tex]r=\sqrt{18}[/tex]

θ = [tex]tan^{-1}(\frac{b}{a} )[/tex]

⇒[tex]tan^{-1}(\frac{3}{3} )[/tex]

⇒[tex]tan^{-1}(1)[/tex]

⇒[tex]45[/tex]°

The polar form is of the form, z= r (cosθ + i sinθ),

⇒ z1 = [tex]\sqrt{18}[/tex] (cosπ/4 + isinπ/4)

The formula for dividing complex number is

z1/z2 = r1(cos θ1 + isin θ1) / r2(cos θ2 + isin θ2)

⇒ z1/z2 = r(cosθ + isinθ)

where, r = r1/r2 and θ = (θ1 - θ2)

z1/z2 = [tex]\sqrt{18}[/tex] (cos π/4 + isin π/4) / 7 (cos 5π/9 + isin 5π/9)

⇒ r = [tex]\sqrt{18}[/tex] / 7 and

θ = (π/4 - 5π/9 )

⇒ θ = (-11π/36)

cos(-θ) = cos θ

⇒cos( -11π/36 ) = cos ( 11π/36 )

sin(-θ) = -sin θ

⇒ sin ( -11π/36 ) = -sin ( 11π/36 )

Thus, z1/z2 = [tex]\sqrt{18}[/tex] / 7 (cos ( 11π/36 ) - isin ( 11π/36 ))

Hence we can conclude that the value of z1/z2 is

√18/ 7 (cos ( 11π/36 ) - isin ( 11π/36 )).

Learn more about complex number here

https://brainly.com/question/19612663

#SPJ2

Answer:

Part 1: The entry fee is $5

Part 2: Each minute costs 25 cents

Step-by-step explanation:

In the expression, the '+5' represents the fee added to '.25m' the cost per each minute.

Answer:

Step-by-step explanation:

For  

f(x) = 2x2-3x -5

For Part A

Set f(x) = 0

Factor the Quadratic

Set the factors = 0  

Solve each factor for x to find your x intercepts

For Part B

You need to use the coefficients in your Quadratic  

List them

a = 2 , b = -3 and c = -5

Since a is positive, your parabola opens up  

Find the x coordinate of the vertex it is -b/2a

One you get the x coordinate, plug it into to your Quadratic to get f(x) your y coordinate of the vertex

For Part C

You can plot the vertex, both x intercepts on a coordinate grid

Answer:

5

Step-by-step explanation:

Answer:

The answer is 12

Step-by-step explanation:

3x² - 2xy + 4y²

Let x = -2

y = -1

3(-2)² - 2(-2)(-1) + 4(-1)²

= 3(4) - 2(2) + 4(1)

= 12 - 4 + 4

= 12

Assuming that this would not be destroying the lives of many in a community by locating overseas. The factory would save $2,886,000 in payroll wages during the first year of relocation.

Step-by-step explanation:

$15 saved in wages/working hour × 250 workers × 1924 hours per year/worker = $2,886,000

Answer:

1386

Step-by-step explanation:

First multiply 8 and 77 to get 616

Then multiply 10 and 77 to get 770

Finally, add them all together to get 1386

Answer:

Answer:

1. 2x2x2x3

Step-by-step explanation:

Let's do process of elimination.

2. 2x2x3

2x2=4   4x3=12

2 is false.

3. 8x3

8x3=24

3 is true, but 8 is not a prime number.

4. 6x4​

6x4=24

4 is true, but 6 is not a prime number.

This leaves 1. 2x2x2x3.

1. 2x2x2x3

2x2=4    2x3=6     6x4=24

1 is true, and 2 and 3 are prime numbers. So, the answer is 1.

-hope it helps

Answer:

1. 2x2x2x3

Step-by-step explanation:

Prime factorization is defined as a way of finding the prime factors of a number, such that the original number is evenly divisible by these factors.

[tex]24\:\mathrm{divides\:by}\:2\\\\\quad \:24=12\cdot \:2[/tex]

[tex]12\:\mathrm{divides\:by}\:2\\\\\quad \:12=6\cdot \:2[/tex]

[tex]6\:\mathrm{divides\:by}\:2\quad\\\\ \:6=3\cdot \:2[/tex]

[tex]2, 6\:\mathrm{divides\:by}\:2\quad \\\\\:6=3\cdot \:2[/tex]

Answer: 1.14583333333 miles

Step-by-step explanation: divide 25/21.81818181818182

The car will travel 1.15 miles in 2 minutes 45 secs

if a car is traveling at 25 miles per hour, the amount of time the car travels in secs is 3600secs

25 miles  = 3600secs

To get the distance traveled in 2 minutes 45 secs, we can write;

x = 165 secs

Divide both expressions

25/x = 3600/165

3600x = 25 * 165

3600x = 4125

x = 1.15 miles

Hence the car will travel 1.15 miles in 2 minutes 45 secs

LEarn more on speed here: https://brainly.com/question/10113134

Answer: 4

Step-by-step explanation: +9-(-3)=12

81-78=3

so 12/3=4

Supposing a spinner with 4 sides, the sample space is:

{H1, H2, H3, H4, T1, T2, T3, T4}

The sample space is the set that contains all possible outcomes for an experiment.

In this problem:

Hence, the sample space is:

{H1, H2, H3, H4, T1, T2, T3, T4}

For more on sample space, you can check https://brainly.com/question/25775544

Answer:

  25.024 mi/gal

Step-by-step explanation:

To find miles per gallon, divide miles by gallons.

  (312.8 mi)/(12.5 gal) = 25.024 mi/gal

Answer:

69 years

Step-by-step explanation:

Sum of Alex's and Ben's current age

= 14 +17

= 31 years

For every year, Alex and Ben will each be one year older. Thus, 2 years would be added to the sum of their ages with each passing year.

Difference in the sum of their ages

= 169 -31

= 138 years

Number of sets of 2 years

= 138 ÷2

= 69

Thus, the sum of their ages will be 169 in 69 years.

Answer: your answer is A) & D)

Step-by-step explanation:     Hope this helps :)

Answer:

A) (-5,10), (0,15), (5,10)

Step-by-step explanation:

In order for an ordered pair to be a function, no pair of coordinates can have the same x variable.

The third ordered pair positive integers that satisfies the equation is (123, 369).

The given parameters;

The third ordered pair of the equation can be determined by using general equation of a circle;

[tex]a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}[/tex]

The radius of the circle is calculated as;

[tex]r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96[/tex]

The value of a can be obtained by randomly choosing numbers less than the radius as values of b.

[tex]b < r\\\\b < 388.96[/tex]

[tex]a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)[/tex]

Thus, the third ordered pair positive integers that satisfies the equation is (123, 369).

Learn more about equation of circle here: https://brainly.com/question/24810873

1) Simplify 2 + 3 to 5.

10 * 5 - 8 * 3

2) Simplify 10 * 5 to 50.

50 - 8 * 3

3) Simplify 8 * 3 to 24.

50 - 24

4) Simplify.

24

Work Shown:

1 week = 7 days

3 weeks = 21 days .... multiply both sides by 3

3 weeks + 4 days = 21 days + 4 days = 25 days

1. Assuming OP || NM, considering the triangle proportionality theorem possible measurements for the segments are: ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units

2. The possible values are decided by assuming  [tex]\frac{ON}{LO} = \frac{PM}{LP} = 3[/tex] using the triangle proportionality theorem.

3. Another method is applying the AA Similarity Theorem to compare corresponding side lengths of the triangles that are proportional to each other.

Triangle proportionality theorem states that if a line is parallel to one of the sides of a triangle intersects two of the other two sides, it divides the two sides into proportional corresponding segments.

1. Assuming that OP || NM, we would apply the triangle proportionality theorem to have the following ratio:

[tex]\frac{ON}{LO} = \frac{PM}{LP}[/tex]

Using the above ratio, we can choose the following possible lengths for the segments:

ON = 3 units

LO = 1 unit

PM = 6 units

LP = 2 units

2. The values are decided assuming that the ratio, [tex]\frac{ON}{LO} = \frac{PM}{LP} = 3[/tex]

This means that the ratio of the proportional segments, irrespective of the their measurement should give you an assumed equal ratio of 3:1.

Therefore, since:

[tex]\frac{3}{1} = 3\\\\\frac{6}{2} = 3[/tex]

The measurements, ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units are therefore possible measurements.

3. Using the AA Similarity Theorem to prove that ΔLPO ≅ ΔLMN, the corresponding sides of both triangles will be proportional.

LP/LM = LO/LN = PO/MN

We can use this to choose possible measurements while assuming a ratio between the proportional sides of both triangles.

Let's assume that: LP/LM = LO/LN = PO/MN = 1/4

Let,

LO = 1 unit

LN = 4 units

Therefore, ON = LN - LO = 4 - 1 = 3 units.

Same way the other possible measures can be gotten provided a ratio is assumed.

Learn more about triangle proportionality theorem on:

https://brainly.com/question/24804474

Based on the definition of congruent triangles, the statements will be completed as follows:

Recall the following about Congruent Triangles:

Given that △CFE≅△PTR, thus:

Thus, based on the definition of congruent triangles, the statements will be completed as follows:

Learn more about congruent triangles on:]

https://brainly.com/question/8876876

Answer:

-5 less than or equal to x less than or equal to -8

Step-by-step explanation:

You have to isolate x.

Start with removing +2.

Take 2 away from both sides

15 less than or equal to -3x less than or equal to 24

Then, the only thing you have to isolate after that is -3, you have to remove it from x.

Since -3x is multiplying, you have to divide by -3 on the other sides.

15 divided by -3 is -5

24 divided by -3 is -8

Therefore,

The answer is...

-5 less than or equal to x less than or equal to -8

I have no clue I just need the points have a good day tho :)