I need help with my math assignment

Step-by-step explanation:

so, first $300 must be paid without any ifs and whens.

for the rest of the amount the insurance will cover 70%.

the bills total to

700 + 930 = $1630

he must pay $300 of that directly.

that leaves 1630 - 300 = $1330 for the 70/30 split between insurance and patient.

the patient must pay 30% of these $1330.

100% = 1330

1% = 100%/100 = 1330/100 = $13.30

30% = 1% × 30 = 13.30 × 30 = $399

so, the patient pays

300 + 399 = $699

of the $1630 bill.

Answer:

Step-by-step explanation:

Step 1: Isolate the Sin Operator

\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)

Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable

Note that since trig functions have 2 general solutions, this will give us one of our general solutions.

\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)

x₁= 0.48

Solving for x₂

Use the period identity for Sin Functions

\(sin(x)=sin(\pi -x)\)

X in this case is arcsin(0.25)

\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)

So our two general solutions are 0.48 and 5.52

Step 3: Period

Trig Functions have periodic behavior and this function period is

\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)

So our general solutions are

0.48±12k, where k is an integer

5.52±12k, where k is an integer

Let k=1, and we get our next set of solutions:

12.48 and 17.52

So our answer is 0.48,5.52,12.48,17.52

Hello and Good Morning/Afternoon!

Let's take this problem step-by-step:

What the problem asks for:

  ⇒ to rationalize the denominator

      ⇒ rationalize means that you multiply the numerator and

          demonimator by the denominator

Let's put that into action:

    \(\frac{\sqrt{a +1}-2 }{\sqrt{a+1}+2 } * \frac{\sqrt{a +1}+2 }{\sqrt{a+1}+2 }\\=\frac{a +1-4 }{a+1+4\sqrt{a+1}+4 } \\=\frac{a-3}{a+4\sqrt{a+1}+5 }\)<== Answer

Hopefully that helps!

Answer: Angle I is congruent to angle L

Step-by-step explanation:

Did da test

To prove ΔGHI and ΔJKL are similar following statements must be true,

i) angle I and angle L are congruent.

ii) angle G and angle J are congruent

iii) sides of the triangles are in proportion

⇒\(\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}\)\(\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}\)

"Two or more triangles are similar if and only if the corresponding angle measures same and their corresponding side lengths are in proportion.."

For given example,

ΔGHI is dilated to form new ΔJKL.

Also, angle H is congruent to angle K.

To prove ΔGHI and ΔJKL are similar.

i) angle I and angle L are congruent.

ii) angle G and angle J are congruent

iii) sides of the triangles are in proportion

⇒\(\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}\)

Therefore, to prove ΔGHI and ΔJKL are similar following statements must be true,

i) angle I and angle L are congruent.

ii) angle G and angle J are congruent

iii) sides of the triangles are in proportion

⇒\(\frac{GH}{JK}= \frac{HI}{KL}= \frac{IG}{LJ}\)

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To completely solve the problem, Karim should convert the product back into standard decimal notation.

We cannot directly apply the product of powers property because the binomial is not raised to a power itself.

(1) To convert a number from scientific notation to standard decimal notation, we multiply the coefficient (0.0258) by 10 raised to the power of the exponent (-8).

0.0258 × \(10^{-8\)  = 0.0258 × 0.00000001

                         = 0.000000000000258

(2) The product of powers property states that when you raise a term with an exponent to another exponent, you can simplify it by multiplying the exponents.

In the expression \((3z + y)^3\), we have a binomial term (3z + y) raised to the power of 3. This is not a situation where we can directly apply the product of powers property because the binomial is not raised to a power itself.

To simplify the expression, we need to expand it using the binomial theorem or by applying the concept of binomial expansion.

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Answer:

8.9

Step-by-step explanation:

- there are two given sides and its a right angle triangle so you can use pythagoras

- 12^2 = 8^2 + y^2

- rearrange

y = \(\sqrt{(12)^2 -(8)^2}\)

y = 8.9

Answer:

6

Step-by-step explanation:

The true similarity statement are using Right Triangle Altitude Theorem :

ΔABD similar to ΔBCD

ΔABC similar to ΔADB

ΔABC similar to ΔBDC

Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.

By the Right Triangle Altitude Theorem,

If the altitude of a triangle is drawn to the hypotenuse of a right angled triangle, then the triangles formed by the division are similar to each other and both are similar to the original triangle.

Using this,

ΔABD similar to ΔBCD

ΔABC similar to ΔADB

ΔABC similar to ΔBDC

Hence the true statements are ΔABD similar to ΔBCD, ΔABC similar to ΔADB, ΔABC similar to ΔBDC.

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The complete question is given below.

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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The value of k is 18.

If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.

Substituting x = -2 into f(x), we have:

f(-2) = (-2)³ + 5(-2) + k

= -8 - 10 + k

= -18 + k

Since f(-2) should equal zero, we have:

-18 + k = 0

k = 18

Therefore, the value of k is 18.

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Answer:

C

Step-by-step explanation:

According to SohCahToa, cosine is adjacent over the hypotenuse.

The adjacent when looking from angle b, is 21.

The hypotenuse of this triangle is 29.

So Cos B=21/29

The number line that satisfies the inequality is option (B).

What are number lines?
Number lines are horizontal straight lines in mathematics where numbers are arranged in equal intervals. A numeric line can be used to represent every number in a sequence. The endpoints of this line go on infinitely. In other terms, it is an image of numbers on a straight line. It functions as a guide for distinguishing and organizing numbers. It can be used to represent any real number, including all whole numbers and natural numbers.

Solution Explained:
- (a+5) < 4/-2 <= -3-a

\(\left \{ {{- (a+5) < 4/-2} \atop { 4/-2 < -3-a}} \right.\)

\(\left \{ {{-a - 5 < -2} \atop {-2 < = -a -3}} \right.\)

\(\left \{ {{-a-5) +5 < -2+5} \atop {-2+3 < = (-a-3)+3}} \right.\)

\(\left \{ {{-a- 5 +5 < 3} \atop {1 < = -a-3+3}} \right.\)

\(\left \{ {{-a < 3} \atop {1 < = -a}} \right.\)

\(\left \{ {a > -3} \atop {-a > = 1}} \right.\)

\(\left \{ {{a > -3} \atop {a < = -1}} \right.\)

\(-3 < a < = -1\)

a ∈ (-3, -1]

Hence, the number line that satisfies the inequality -(a+5) < b/-2 <= -3-a is in option (B).

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The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.

The sum of the fractions is:

(7/8) + (15/4) + (1/12)

To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:

(7/8) = (21/24)

(15/4) = (90/24)

(1/12) = (2/24)

Now we can add the fractions:

(21/24) + (90/24) + (2/24) = (113/24)

The multiplication of the fractions is:

(7/8) * (15/4) * (1/12)

To multiply fractions, we multiply the numerators and denominators:

(7*15*1) / (8*4*12) = (7/96)

Now we can divide the sum of the fractions by their multiplication:

(113/24) / (7/96)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(113/24) * (96/7) = (2712/168)

Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).

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Answer:

B

Step-by-step explanation:

Please try and answer my questions aswell :) have good day

32

Step-by-step explanation:

Answer:

1.14male studying biology

The appropriate Taylor series for an infinite series with the first four nonzero terms equal to ln(5/3) is 0/1!, 0/2!, 0/3!, and 0/4! .......

An infinite sum of words that are expressed in terms of a function's derivatives at a single point is known as the Taylor series or Taylor expansion of a function in mathematics. Near this point, the function and the sum of its Taylor series are equivalent for the majority of common functions. The polynomial or function of an infinite sum of terms is the Taylor series. The exponent or degree of each succeeding term will be greater than the exponent or degree of the one before it.

The formula is:

∑​n=0​ to ∞(fⁿ(a)(x-a)ⁿ)/n!

Here,

∑​n=0​ to ∞(fⁿ(a)(x-a)ⁿ)/n!

at n=1,

=0/1!

at n=2,

=0/2!

at n=3,

=0/3!

at n=4,

=0/4!

Appropriate taylor series for first four nonzero terms of an infinite series that is equal to ln(5/3) is 0/1!, 0/2!, 0/3!, 0/4!.......

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​​

Answer:

534 is the mean.

Step-by-step explanation:

to calculate the mean you add all the numbers together (for example this set of numbers):

785, 585, 465, 409, 495, 465

=3204

then divide the number of numbers that you added together , (in this case 6)

3204/6

=

534

Answer:

8, 8, 13

Step-by-step explanation:

The three numbers 8, 8, 13 have a range of 5.

13 - 8 = 5

The mode is 8, the repeated number.

Answer:

need pls

Step-by-step explanation:

Angles are: m∠P is 35°, m∠Q is 55° and m∠R is 90°

Three line segments that cross at three non-collinear locations to form a triangle constitute a triangle in geometry. The three line segments are called the sides of the triangle.

Given that ∠R is right angle so, ∠R = 90°

Apply triangle angle rule,

∠P + ∠Q + ∠R = 180°

Put all given values of angles as per diagram,

⇒ (3x - 7)° + (2x +27)° + 90° = 180°

⇒ 5x + 20° = 180° - 90°

⇒ x = 70°/5

⇒ x = 14°

So, ∠P = 3x -7 = 3×(14) -7 = 35°

and ∠Q = 2x +27 = 2×(14) +27 = 55°

Therefore, ∠P is 35°, ∠Q is 55° and ∠R is 90°

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According to the question the angles are: m∠P is 35°, m∠Q is 55° and m∠R is 90°

Three line segments that cross at three non-collinear locations to form a triangle constitute a triangle in geometry. The three line segments are called the sides of the triangle.

Given that ∠R is right angle so, ∠R = 90°
Apply triangle angle rule,
∠P + ∠Q + ∠R = 180°
Put all given values of angles as per diagram,
⇒ (3x - 7)° + (2x +27)° + 90° = 180°
⇒ 5x + 20° = 180° - 90°
⇒ x = 70°/5
⇒ x = 14°
So, ∠P = 3x -7 = 3×(14) -7 = 35°
and ∠Q = 2x +27 = 2×(14) +27 = 55°
Therefore, ∠P is 35°, ∠Q is 55° and ∠R is 90°

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Answer:

19

Step-by-step explanation:

if it was to be 100 its would have been 10 tens. so since its 192 its, 19 tens with an extra 2.

There are \(9\) tens in \(192\).

The system or method of writing certain numbers with the help of some rules is called a number system.

Usually, we write numbers in two ways i. e. national and international.

we write these numbers using periods.

example of the national number system is \(23, 56, 78, 999\) that it is read as twenty-three crore fifty-six lakhs seventy-eight thousand nine hundred ninety-nine.

example of an international number system is \(456,456\)  , read as four hundred fifty-six thousand four hundred fifty-six.

On expanding \(192\) we  get ;

\(192 = 100 + 90 + 2\)

which contains  9 at its tens place .

Thus, on expanding we get \(9\) tens.

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Answer: 15 students per teacher, 8 students per tutor, 9 tutors per 72 students

Step-by-step explanation: Well to find how many student there are per teacher or per tutor, you have to divide so 60/4=15 students per teacher and 40/5=8 students per tutor, So having how many students we have for one tutor you can use that number to divide 72/8 to get 9 which is how many tutors you need if you had 72 students

Step-by-step explanation:

60 ÷ 4 = 15 students per teacher

40 ÷ 5 = 8 students per tutor

72 ÷ 8 = 9 tutors needed

Answer:

  \(a=\dfrac{\Delta v}{t}\)

Step-by-step explanation:

Acceleration is the change in velocity per unit time. It is usually represented by the letter "a". An appropriate formula is ...

  \(\boxed{a=\dfrac{\Delta v}{t}}\)

The required equation for determining the acceleration from a velocity-time graph is \(a=\dfrac{\Delta v}{t}\)equation is a=delta v over t.

We know that,

Acceleration is known as the rate of change of velocity per unit time.

The velocity vs time graph is the graph plotted between the change in velocity with the change in time.

\(a=\dfrac{\Delta v}{t}\)

Hence the required equation for determining the acceleration from a velocity-time graph is \(a=\dfrac{\Delta v}{t}\).

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-56 - (-95) = -56 + 95 =

= 95 + (-56) = 95 - 56 =