Please help me!! How do I do this?

Answer:

Part A: [tex]12x+16\leq 580[/tex]

Part B: $47 per month

Step-by-step explanation:

Part A: 12 months in a year. Pays x amount of $ per year, with an additional $16 initiation fee. He wants to spend less than $580 total a year. Thus, [tex]12x+16\leq 580[/tex].

Part B: Solve the inequality for x.

$580 - $16 = $564

x = $564/12 = $47

Hope this helps! :)

Answer:

Hello! I know I am late but here is the answer for anyone else who might need it.

D. 1/2-i√3/2

Step-by-step explanation:

I got it right on edge. Hope this helps!

The value of given expression is [tex]\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex].

What is binomial theorem?

The expression of the form (a+b)^n is expand by binomial theorem.

The expansion is [tex](a+b)^{n}=\sum_{r=0}^{n}{ }^{n} C_{r} a^{n-r} b^{r}[/tex].

Use a=1/2 and b=[tex]b=\frac{i\sqrt{3} }{2}[/tex] into the expansion of binomial.

[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\sum_{k=0}^{5}\left(\begin{array}{l}5 \\k\end{array}\right)\left(\frac{1}{2}\right)^{5-k}\left(\frac{\sqrt{3} i}{2}\right)^{k}[/tex]

When k=0 then, [tex]\left(\begin{array}{l}5 \\0\end{array}\right)\left(\frac{1}{2}\right)^{5-0}\left(\frac{\sqrt{3} i}{2}\right)^{0}=\frac{5 !}{(5-0) ! 0 !}\left(\frac{1}{2}\right)^{5-0}\left(\frac{\sqrt{3} i}{2}\right)^{0}=\frac{1}{32}[/tex]

When k=1 then, [tex]\left(\begin{array}{l}5 \\1\end{array}\right)\left(\frac{1}{2}\right)^{5-1}\left(\frac{\sqrt{3} i}{2}\right)^{1}=\frac{5 !}{(5-1) ! 1 !}\left(\frac{1}{2}\right)^{5-1}\left(\frac{\sqrt{3} i}{2}\right)^{1}=\frac{5 \sqrt{3} i}{32}[/tex]

When k=2 then, [tex]\left(\begin{array}{l}5 \\2\end{array}\right)\left(\frac{1}{2}\right)^{5-2}\left(\frac{\sqrt{3} i}{2}\right)^{2}=\frac{5 !}{(5-2) ! 2 !}\left(\frac{1}{2}\right)^{5-2}\left(\frac{\sqrt{3} i}{2}\right)^{2}=-\frac{15}{16}[/tex]

When k=3 then, [tex]\left(\begin{array}{l}5 \\3\end{array}\right)\left(\frac{1}{2}\right)^{5-3}\left(\frac{\sqrt{3} i}{2}\right)^{3}=\frac{5 !}{(5-3) ! 3 !}\left(\frac{1}{2}\right)^{5-3}\left(\frac{\sqrt{3} i}{2}\right)^{3}=-\frac{15 \sqrt{3} i}{16}[/tex]

When k=4 then, [tex]\left(\begin{array}{l}5 \\4\end{array}\right)\left(\frac{1}{2}\right)^{5-4}\left(\frac{\sqrt{3} i}{2}\right)^{4}=\frac{5 !}{(5-4) ! 4 !}\left(\frac{1}{2}\right)^{5-4}\left(\frac{\sqrt{3} i}{2}\right)^{4}=\frac{45}{32}[/tex]

When k=5 then, [tex]\left(\begin{array}{l}5 \\5\end{array}\right)\left(\frac{1}{2}\right)^{5-5}\left(\frac{\sqrt{3} i}{2}\right)^{5}=\frac{5 !}{(5-5) ! 5 !}\left(\frac{1}{2}\right)^{5-5}\left(\frac{\sqrt{3} i}{2}\right)^{5}=\frac{9 \sqrt{3} i}{32}[/tex],

Now we will add all the results to get the expansion of given expression,

[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\frac{1}{32}+\frac{5 \sqrt{3} i}{32}-\frac{15}{16}-\frac{15 \sqrt{3} i}{16}+\frac{45}{32}+\frac{9 \sqrt{3} i}{32}[/tex]

On simplifying,

[tex]\left(\frac{1}{2}+\frac{\sqrt{3} i}{2}\right)^{5}=\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex]

Therefore, the value of given expression is [tex]\frac{1}{2}-\frac{\sqrt{3} i}{2}[/tex].

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Answer:

Rational

Step-by-step explanation:

Rational. It can be expressed as a fraction, which is the definition of a rational number.

Hope this Helps!

-2 is rational

This is because every negative integer is a negative rational number.

We know that -1 = -1/1, -2 = -2/1, -3 = -3/1, -4 = -4/1 and so on …….

In other words, any negative integer n can be written as n = n/1, here n is negative and 1 is positive.

So, negative 2 is rational.

Answer:

at least a score of 68

Step-by-step explanation:

(85+73+94+q)/4 ≥ 80

(252 + q)/4 ≥ 80

multiply each side by 4 to get:

252 + q ≥ 320

q ≥ 68

Answer:

the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

Step-by-step explanation:

Answer:

4550

Step-by-step explanation:

Answer:

Step-by-step explanation:

18.2% of 25000 = 4550

Answer: 8,500

Step-by-step explanation:

Answer:

8250 mL

Step-by-step explanation:

Multiply the volume value by 1000

Answer:

Step-by-step explanation:

2006053?

Answer:

2,000 + 600 + 50 + 3 = 2,653

Step-by-step explanation:

Answer:

The 16oz is a better deal

Step-by-step explanation:

32 = 2 * 16

buying 2 packages of 16 oz cost

0.79 * 2 = 1.58

1.58 < 2.09

The 16oz is a better deal

Answer:

The 16 oz package.

Step-by-step explanation:

Make the 16 oz a 32 oz so we can compare the prices

Mutiply 0.79 X 2 = 1.58

The 16 oz is because you can buy it twice making it a 32 oz for less than the orginal 32 oz.

(Compared side by side)

2.09 > 1.58

hope this helped!

Answer: 2 5/12

Step-by-step explanation:

Trey bought 3¾ pounds of apples from the grocery store. Corinne bought 1⅓ pounds of grapes from the grocery store.

To know how many more pounds of fruit that Trey bought, we have to find the difference between the value given above and this will be:

= 3¾ - 1⅓

= 3 9/12 - 1 4/12

= 2 5/12

Trey bought 2 5/12 pounds more.

Answer:

Substraction

Step-by-step explanation:

Given that  

The amount paid in the year 2018 is $3,200

And, in the year 2019 the amount paid is $3,516'

We need to find the differnece between two years so how we can find

Basically we need to subtract the amount i.e.

= $3,516 - $3,200

= $316

hence, the difference is of $316 from 2018 to 2019

Answer:

[tex]t=3.142sec[/tex]

Step-by-step explanation:

From the question we are told that:

Speed of ball [tex]V=35m/s\approx 80 mph[/tex]

Length of field [tex]l=110m[/tex]

Generally the equation for Time taken [tex]t[/tex] is mathematically given by

 [tex]t=m/V[/tex]

 [tex]t=110/35[/tex]

 [tex]t=3.142sec[/tex]

 [tex]t \approx \frac{3.142}{60}[/tex]

 [tex]t \approx 0.05hrs[/tex]

Therefore it will take the ball to get from one end of the field to the other

[tex]t=3.142sec[/tex]

Answer: 15

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

X= -8/3

Step-by-step explanation:

Answer:

the answer is B.(-1,-2)

Step-by-step explanation:

please give brainliest

Answer:

a = 40π

Step-by-step explanation:

a = (∅/360) * πr²

a = (144/360) * π(10)²

a = 40π

Answer:

this triangle is "obtuse

Step-by-step explanation:

Since sides 14 and 16 add up to 30, which is more than the third side, 27, we DO have a triangle here.  The sides of lengths 14 and 16 form an angle greater than 90 degrees, and so this triangle is "obtuse."  It's not a right triangle either, because the Pythagorean Theorem is not satisfied:  14^2 + 16^2 = 452, which is NOT 27^2.

Answer:

3.125 miles

Step-by-step explanation:

5 × 0.625 = 3.125 miles

Answer:

12.60

Step-by-step explanation:

give brainliest and 5 star and thank!

Answer: all you have to do is times length times width

which is 1 1/2x4 1/2 and then make it a decimal

Answer:

6.00

Step-by-step explanation:

Answer:

hmm,,,,,,

Step-by-step explanation:

Answer:

88 units

Step-by-step explanation:

[tex] In\: \triangle OBR \:\&\: \triangle OWN[/tex]

BR || WN (Given)

Therefore,

[tex] \angle OBR \cong \angle OWN[/tex] (Alternate angles)

[tex] \angle BOR \cong \angle WON[/tex] (Vertical angles)

[tex] \therefore \triangle OBR \sim \triangle OWN[/tex] (AA postulate)

[tex] \therefore \frac{OR}{ON} =\frac{BR}{WN} [/tex] (csst)

[tex] \therefore \frac{OR}{56} =\frac{24}{42} [/tex]

[tex] \therefore \frac{OR}{56} =\frac{4}{7} [/tex]

[tex] \therefore OR =\frac{4\times 56}{7} [/tex]

[tex] \therefore OR ={4\times 8} [/tex]

[tex] \therefore OR =32 [/tex]

RN = OR + ON

RN = 32 + 56

RN = 88 units

Answer: $285

Step-by-step explanation:

Given

A trip costs [tex]\$319.19[/tex] after-tax inclusion

The rate of tax is 12%

Suppose x is the amount of charge before tax inclusion

We can write

[tex]\Rightarrow x+12\%x=319.19\\\Rightarrow x(1+0.12)=319.19\\\\\Rightarrow x=\dfrac{319.19}{1.12}\\\\\Rightarrow x=\$284.99\approx \$285[/tex]

The amount before tax inclusion is $285

Answer:

TQ=SR [since it is isosceles trapezoid]

6x+1.2=9x-48

48+1.2=9x-6x

3x=49.2

x=49.2/3=16.4

now

QR=3×16.4+2.5=51.7

SR=9×16.4-48=99.6

ST=4×16.4-2=63.6

TQ=6×16.4+1.2=99.6

As it's isosceles trapezoid

Now

QR=3(2)+2.5=8.5

RS=9(2)-4.8=13.2

ST=4(2)-2=6

QT=6(2)-1.2=10.8

Answer:

not sure no attachments but i think its 49 or 37 or both together 88

Step-by-step explanation:

Answer:

The angle of elevation from the ground to the plane is 11.5 degrees

Step-by-step explanation:

Given -

Horizontal distance from the point of takeoff to which the plane flies in a straight line = 4000 feet

The vertical distance travelled from the ground to the plane is 800 feet

Angle of Elevation

[tex]Sin X= \frac{800}{4000} \\X = Sin^{-1}\frac{800}{4000}\\X = 11.5[/tex]

The angle of elevation from the ground to the plane is 11.5 degrees

Answer:

an=yearn−year−0.17n+0.34

Step-by-step explanation:

Answer:

68%

Step-by-step explanation:

17% × 4

68%

Answer:

6%

Step-by-step explanation:

for this is divided the fee by the price of the item.