Find the missing side lengths and leave the radicals in the simplest form.

Answer:

the answer is 0

Step-by-step explanation:

2x-4

putting 10

2x10-4

20-4

=16

putting 45

2x45-4

90-4

=86

putting 60

60x2-4

120-4

=116

putting 2

2x2=4

4-4=0

Based on the calculations, for any number n > 1, [tex]|(\frac{1}{2} + \frac{3i}{4} )^n|[/tex] is less than one but not greater than or equal to one.

First of all, we would simplify the equation by using the lowest common multiple (LCM) of the fractions as follows:

[tex]|(\frac{2\;+\;3i}{4} )^n|[/tex]

By applying exponent rule, we have:

[tex](a.b)^n=a^n \times b^n\\\\|(\frac{(2\;+\;3i)^n}{4^n} )|\\\\|(\frac{(2\;+\;3i)^n}{(2^2)^n} )|[/tex]

By applying exponent power rule, we have:

[tex]|(\frac{(2\;+\;3i)^n}{2^{2n}} )|[/tex]

Assuming n = 2, we have:

[tex]|(\frac{(2\;+\;3i)^2}{2^{2\times 2}} )|\\\\|(\frac{(2\;+\;3i)^2}{2^{4}} )|\\\\|(\frac{-5\;+\;12i}{16} )|[/tex]

Therefore, for any number n > 1, [tex]|(\frac{1}{2} + \frac{3i}{4} )^n|[/tex] is less than one but not greater than or equal to one.

Read more on complex equations here: https://brainly.com/question/15007300

#SPJ1

Answer:

Option B

Step-by-step explanation:

[tex]A=(5.1)^{2} +4(\frac{(5.1)(5.95)}{2} )=26.01+60.69=86.7cm^{2}[/tex]

Hope this helps

Answer:

I have attached a screenshot of your inequality graphed. Credit to Desmos.

From the four graphs presented, it is expected the only one with a negative correlation coefficient is the third graph or graph c.

This occurs when the two variables analyzed go in opposite direction, which means one increases and the other decreases.

In a graph, a negative correlation coefficient is related to a negative slope.

This negative slope can be seen in the third graph or graph C.

Learn more about negative slope in: https://brainly.com/question/16295806

#SPJ1

The break-even period after which you could make a $10,000 claim for

property damage without the insurance company suffering a loss is 15 months.

The break-even point is the point at which total revenue is equal to the total cost.

Taking only this customer's premiums, deductible, and claims into account, the break-even time during which the client might submit a $10,000 claim for property damage without causing the insurance company a loss is 15 months.

The corporation will not generate a profit or a loss during this break-even time. Therefore, the following Data and Calculations can be made,

Monthly insurance premium payable = $600 (assumed to be paid monthly)

Deductible on the insurance policy = $1,000

Minimum coverage = 30/50/10

Coverage for injury or death to one person = $30,000

Coverage for injury or death to two or more people = $50,000

Coverage for damage to property = $10,000

Average accidents every year = 2

Total claims cost to the insurance before deductibles = $40,000 ($30,000 + $10,000)

Break-even period = 15($10,000 - $1,000)/$600

This break-even period is calculated by subtracting the deductible from the customer's claim and dividing the result by the monthly insurance cost.

Thus, after a 15-month break-even period, the client might file a $10,000 claim for property damage without the insurance company incurring a loss.

Learn more about break-even:

https://brainly.com/question/22875945

#SPJ1

Answer:

15 months

Step-by-step explanation:

verified with a teacher

a. The height of the ball after four seconds is 640 ft

b. The time the ball reachs a height of 768 ft is 6 s or 8 s.

c. The time the ball reachs the ground after it is thrown is 14 seconds.

Since the height of the ball is a parabola, we need to know the equation parabola is

A parabola is an equation of the form x(t) = at² + bt + c

The height of the ball after four seconds is 640 ft

Since the height of the ball is represented by the equation h(t) = -16t² + 224t. The height of the ball after four seconds is when t = 4.

So, h(t) = -16t² + 224t.

h(4) = -16(4)² + 224(4)

h(4) = -16(16) + 224(4)

h(4) = -256 + 896

h(4) = 640 ft

The height of the ball after four seconds is 640 ft

The time it takes the ball to reach a height of 768 ft is 6 s or 8 s.

To find this time, we substituie h = 768 into the equation for the height of the ball.

So, h(t) = -16t² + 224t

768 = -16t² + 224t.

16t² - 224t + 768 = 0

t² - 14t + 48 = 0

Using the quadratic formula, we find t

[tex]t = \frac{-(-14) +/- \sqrt{(-14)^{2} - 4 X 1 X 48} }{2 X 1} \\t = \frac{14 +/- \sqrt{196 - 192} }{2}\\t = \frac{14 +/- \sqrt{4} }{2}\\t = \frac{14 +/- 2 }{2}\\t = \frac{14 + 2 }{2} or t = \frac{14 - 2 }{2}\\t = \frac{16}{2} or t = \frac{12}{2}\\t = 8 or 6[/tex]

So, the time it takes the ball to reach a height of 768 ft is 6 s or 8 s.

The time it takes the ball to reach the ground after it is thrown is 14 seconds.

To find the time it takes the ball to reach the ground, the height, h = 0.

So, h(t) = 0

-16t² + 224t = 0

-16t(t - 14) = 0

t(t - 14) = 0

t = 0 or t - 14 = 0

t = 0 or t = 14 s

So, the time it takes the ball to reach the ground after it is thrown is 14 seconds.

Learn more about equation of parabola here:

https://brainly.com/question/25651698

#SPJ1

Answer:

128

Step-by-step explanation:

multiply length, width, and hight.

[Not including the "triangle roof"] 128 in²

    V = L * W * H

    V = 8 in * 4 in * 4 in

    V = 128 in²

[Including the "triangle roof"] 176in²

    V = [tex]\frac{ L * W * H}{2}[/tex]

    V = [tex]\frac{8\text{ in }*\,4\text{ in }*\,3\text{ in }}{2}[/tex]

    V = [tex]\frac{96\;in^2}{2}[/tex]

    V = 48 in²

        -

    48 in² + 128 in² = 176in²

Answer:

Leading term: 8n⁵

Leading coefficient : 8

Constant: -2

Step-by-step explanation:

Leading term is the term with highest degree.

 Here the highest degree is 5. so 8n⁵ is the leading term

Leading coefficient is the coefficient of the leading term.

Constant is the term without any variable.

Answer:

C. is the correct answer

Step-by-step explanation:

A. is incorrect because the sequence does not start with 15

B. is incorrect because the pattern increases by 5, not multiplied by 5

C. is correct because all of the even numbers in the pattern do end in 0

D. is incorrect because even numbers don't end in 5's

Hope this helps!

Answer: "Every even-numbered term in the pattern has a 0 in the evens place"

Step-by-step explanation:

     We can compare each statement to the pattern and see which ones don't apply.

   The first one is not true. We are adding 5, not having a sum of previous numbers.

  The second one is not true, it is adding 5. Not 5 times greater.

  An even number is a number ending in 0, 2, 4, 6, or 8. This means

that the third option is correct, giving us our answer.

Answer:

S.A = 2( L×W+W×H+ H×L)

= 2(2×4+4×1+1×2)

= 2(8+4+2)

2(14)

= 2×14= 28

Step-by-step explanation:

answer 28

Step-by-step explanation:

oh, come on ! one is finding the inequality itself, the other is solving it. you don't know the difference of that ?

if so, please let me know, what you don't understand of the following explanations, so that I can add whatever is necessary.

you know, what an equality (ahem, equation) is ?

both, equations and inequalities are like a balancing scale with usual different things on the two pans left and right.

an equation is when both sides are in balance. their weight is equal.

an inequality is, when one side is heavier than the other.

and you know, what a variable is ? it is a kind of placeholder for actual values. it is like keeping some space open on the scale pan with a list of conditions for what kind of things you can put in that open space, so that the status of the scale stays unchanged.

A

twenty less than a number is at least 15

looks mathematically

x - 20 >= 15 (larger or equal = "at least")

B

x - 20 >= 15

x >= 35

so, this is true for

{x € R | x >= 35}

or

{x € R | x = 35 or x > 35}

so, this is true for all real values of x that are at least 35.

Answer:

13

Step-by-step explanation:

Answer:

The correct answer is supposed to be 3.36

Step-by-step explanation:

Add up all the numbers:

4 + 3.7 + 3.4 + 3 + 2.7  = 16.8

Divide by how many numbers there are:

16.8 ÷ 5 = 3.36

Answer:

49.36 degrees to the nearest hundredth.

Step-by-step explanation:

In the right angled triangle formed the adjacent side is 25.88 m and the opposite = 30.15 m.

So tan B =  30.15 / 25.88 = 1.16499

So m < B = 49.36 degrees.

Answer:

Step-by-step explanation:

The formula for the area of a parallelogram is base times height

so

x = 7 (base)

y = 5

h = 3 (height)

7 * 3 =

21u²

Answer:

Step-by-step explanation:

the bars, |   |, mean absolute value

for example, if it was

| -9 |

then it would be 9

if it was

| 9 |

then it would be 9

if it was

| -550 |

it would be 550

you take the number, and if its negative, then it becomes positive

thats it

Answer:

1050 miles

Step-by-step explanation:

velocity=distance/time

Distance=450 miles

Time=3 hours

Velocity=150 miles/hours

if time is 7 and velocity is 150 distance is 7x150=1050 miles

Hey there!

7 * 8/10

= 7/1 * 8/10

= 7/1 * 8 ÷ 2 / 10 ÷ 2

= 7/1 * 4/5

= 7(4) / 1(5)

= 28/5

≈ 5.6

= 5 3/5

So, therefore the answer should be:

Anywhere BETWEEN 5 & 6

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

  5 and 6

Step-by-step explanation:

The product of the whole number and fraction is ...

  7×(8/10) = (7×8)/10 = 56/10 = 5.6

This lies between 5 and 6.

Answer:

[tex] {2t}^{3} + {20t}^{2} - 2t + 15[/tex]

Hope this helps!!

Using the normal distribution, it is found that 16.43% of adults in the US qualify for stage 1.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Researching the problem on the internet, the mean and the standard deviation are given, respectively, by:

[tex]\mu = 122, \sigma = 22[/tex].

The proportion of adults in the US qualify for stage 1 is the p-value of Z when X = 160 subtracted by the p-value of Z when X = 140, hence:

X = 160:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{160 - 122}{22}[/tex]

Z = 1.73

Z = 1.73 has a p-value of 0.9582.

X = 140:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{140 - 122}{22}[/tex]

Z = 0.82

Z = 0.82 has a p-value of 0.7939.

0.9582 - 0.7939 = 0.1643.

0.1643 = 16.43% of adults in the US qualify for stage 1.

More can be learned about the normal distribution at https://brainly.com/question/24663213

#SPJ1

Answer:

See below

Step-by-step explanation:

Polynomials are sums of terms in the form of k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x²+2x-5 is a polynomial.

Answer:

6x⁵+12x⁴+3x³

Step-by-step explanation:

3x³(2x² + 4x + 1) = 3x³ × (2x² + 4x + 1)

therefore

3x³(2x² + 4x + 1) =

(3x³ × 2x²) + (3x³ × 4x) + (3x³ × 1)

*NOTE: for the brackets the multiplication law of indices is applied, i.e:

nª × n^b = n^a+b therefore

x³ × x² = x^3+2 = x⁵

x³ × x = x^3+1 = x⁴

x³ × x⁰ = x^3+0 = x³

*Note the quoeficents multiple each other, i.e:

3 × 2 = 6

3 × 4 = 12

3 × 1 = 3

so:

= 6x⁵ + 12x⁴ + 3x³

Answer:

Step-by-step explanation:

A={1,2,3}

n(A)=3

B={5,6}

n(B)=2

Answer: The exact answer is 3.61 weeks, so the "about" answer is 4 weeks.

Step-by-step explanation:

b = $85 + w (10+8)

b = 85 + w (18)

b = 85 + 18w

b is the total amount need in the bank account, so $150.

$150 = $85 + 18w

$150 - $85 = $85 - $85 + 18w

$65 = 18w

$65 / 18 = 18w / 18

3.611 weeks = w

So, it will take about 4 weeks to get $150 in his bank account.

Hope this helps!

Simplify the expression

Put b=150