1/6 divided by 1/2 plz help

Answer:

64.64

Step-by-step explanation:

ok so in triangle, the angles add up to 180 degrees

so 180 - 62 - 53.4 = 64.6

the upper bound of 64.6 is 64.64 because it rounds up to 64.6 (4<5)

Thus, the explicit formula for the simple interest sequence A(n) = P + (n-1)(i.P) is: A(n) = P * (1 + i * (n-1)).

Simple interest is a method of calculating interest on a loan or investment where interest is charged only on the initial principal amount. In simple interest, the interest rate is applied to the original principal amount, and the interest earned remains the same throughout the entire term of the loan or investment.

by the question.

The formula for a simple interest sequence A(n) = P + (n-1) (i.P) represents the value of an investment that earns simple interest over n periods, where:

A(n) is the value of the investment after n periods.

P is the principal or initial investment

i is the interest rate per period as a decimal fraction (e.g. 0.05 for 5%)

n is the number of periods

To derive the explicit formula for A(n), we can use the formula for simple interest:

I = P * i * n

where I am the total interest earned over n periods. We can then express A(n) as:

A(n) = P + I

Substituting the expression for I, we get:

A(n) = P + P * i * (n-1)

Simplifying, we can factor out P to get:

A(n) = P * (1 + i * (n-1))

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The triangles formed by the diagonals of the parallelogram are congruent by ASA, segments are therefore congruent and we get;

The segments \(\overline{AE}\) = \(\overline{CE}\), and \(\overline{BE}\) = \(\overline{DE}\) by definition

A parallelogram is a quadrilateral that have facing parallel sides.

The completed two column table to prove that the diagonals of a parallelogram bisect each other can be presented as follows;

Statements \({}\)                           Reasons

1. ABCD is a parallelogram \({}\)                      1. Given

2. ∠ABE and ∠CDE are alt. int angles\({}\)     2. Definition

3. ∠BAE and ∠DCE are alt. int angles\({}\)     3. Definition

4. ∠BCE and ∠DAE are alt. int angles\({}\)     4. Definition

5. ∠CBE and ∠ADE are alt. int angles\({}\)     5. Definition

6. \(\overline{AD}\) ≅ \(\overline{BC}\), \(\overline{AB}\) ≅ \(\overline{CD}\)                          \({}\)  6. Properties of a parallelogram

7. ΔBAE ≅ ΔDCE\({}\)                                       7. SAS congruence postulate

8. \(\overline{BE}\) ≅ \(\overline{DE}\), \(\overline{AE}\) ≅ \(\overline{CE}\)               \({}\)              8. CPCTC

9. \(\overline{AE}\) = \(\overline{CE}\) and \(\overline{BE}\) ≅ \(\overline{DE}\)                      \({}\) 9. Definition of congruence

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[(-2-5 )x (-6) ]  is greater than (-2 ) +(-5)x(-6) ]  and the absolute value of greatest integer is 42.

A number system is defined as a system of writing to express numbers.

{(−2)−5}×(−6) and (−2)+(−5×(−6)

Let us solve the expression

{(−2)−5}×(−6)

=-7×(−6)

=42

similarly let us solve for expression [ (-2 ) +(-5)x(-6) ]

=(-2 ) +30

=28

As 42>28

{(−2)−5}×(−6) > (−2)+(−5×(−6)

Therefore [(-2-5 )x (-6) ]  is greater than  (−2)+(−5×(−6).

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The cost of each lily is $3.25, and the cost of each rose is $6.50 according to the first arrangement and second arrangement.

Let's assume the cost of each lily is represented by "L" and the cost of each rose is represented by "R." Based on the given information, we can form a system of linear equations.

From the first arrangement, we know that 5 lilies and 1 rose cost $19.75. This can be written as the equation 5L + R = 19.75.

From the second arrangement, we know that 6 lilies and 3 roses cost $27.75. This can be written as the equation 6L + 3R = 27.75.

To solve this system of equations, we can use the method of substitution or elimination. Let's use the elimination method.

Multiply the first equation by 3 and the second equation by -1 to eliminate the R term:

15L + 3R = 59.25

-6L - 3R = -27.75

Adding the equations, we get:

9L = 31.50

Divide both sides by 9:

L = 3.50

Now substitute the value of L back into one of the original equations. Let's use the first equation:

5(3.50) + R = 19.75

17.50 + R = 19.75

Subtract 17.50 from both sides:

R = 2.25

Therefore, the cost of each lily is $3.50, and the cost of each rose is $2.25.

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If you have the legs be a and B and the hypotenuse be C the A^2 + B^2 =C^2

Just fill in what you know and solve

Answer:

-x² + 3x + 7

Step-by-step explanation:

(f-g)(x) = f(x) - g(x) = (3x+1)-(x²-6) = -x² + 3x + 7

The value of (f - g)(x) is -x² + 3x + 7.

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, the given functions are;

   f(x) = 3x + 1

   g(x) = x² - 6

Now,

 (f - g)(x) = f(x) - g(x)

              = (3x + 1) - (x² - 6)

              = 3x + 1 - x² + 6

(f - g)(x)  = -x² + 3x + 7

Thus, the value of (f - g)(x) is -x² + 3x + 7.

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BD is the Perpendicular bisector of AC.

To complete the flowchart proof, we have to prove that BD is the perpendicular bisector of AC. Here's the proof:

Given D is the midpoint of Line AC and Line AC ⊥ BD, we need to prove that BD is the perpendicular bisector of AC.

1. Draw a diagram of the given situation. Let D be the midpoint of Line AC and Line AC ⊥ BD.

2. Draw Line BD.

3. Since AC is perpendicular to BD, angle ABD and angle CBD are right angles.

4. Since D is the midpoint of AC, AD = DC.

5. Since angle ABD and angle CBD are right angles, triangle ABD and triangle CBD are both right triangles.

6. By the Pythagorean Theorem, AB² + BD² = AD² and BC² + BD² = CD².

7. Since AD = DC, then AD² = DC². Therefore, AB² + BD² = BC² + BD².

8. Subtracting BD² from both sides of the equation, we get AB² = BC².

9. Therefore, triangle ABC is an isosceles triangle, since AB = BC.

10. Since triangle ABC is isosceles, then angle ABD and angle CBD are congruent.

11. Since angle ABD and angle CBD are congruent, then BD is the perpendicular bisector of AC.

Hence, BD is the perpendicular bisector of AC.

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Answer: \(35x+9\leq 310,\ 8\)

Step-by-step explanation:

Given

A group of friends has $310 to spend

Parking costs $9 and ticket cost $35 per person

Suppose  there are x friends who go to amusement park

So, the cost of tickets and parking must be less than or equal to $310

\(\Rightarrow 35x+9\leq 310\\\text{Subtract 9 from both sides}\\\Rightarrow 35x\leq 301\\\text{Divide both sides by 35}\\\Rightarrow x\leq 8.6\)

This indicates that there sholud be maximum 8 persons who can go to amusement park with this much money.

Answer:

4 square units

Step-by-step explanation:

Warm Up For each translation of the point (–2, 5), give the coordinates of the translated point. 1. 6 units down (–2, –1) 2. 3 units right (1, 5) For each.

Answer:

16 students

Step-by-step explanation:

2 pizzas cut into 8ths, 8 slices plus 8 slices = 16

Answer:

  has two solutions:

 x = 2 + √ 12

  or

 x = 2 - √ 12

Step-by-step explanation:

Answer:

A.) 7:1 (which is 5.25 : 0.75 simplified)

B.) 0.75 : 6

Step-by-step explanation:

In linear equation , the car y's price changes the most.

What are a definition and an example of a linear equation?

According to the question

a)  Car x : £ 10320  ≈  £ 10300        10320 - 10300 = 20

    Car y  : £ 15430 ≈ £ 15400          15430 - 15400 = 30

    Car z   :  £ 17490 ≈  £ 17500        17490 - 17500  = 10

                   10 < 20 < 30

so the car y's price changes the most.

b) this car's price change £ 30

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Answer: 6+8

Step-by-step explanation:because negative inot negative becomes positive

Solution: x<5/8

decimal:x<0.625

interval notation:-∞,5/8

Step-by-step explanation:

add/subtract the numbers : 5-4=1

expand 1-5(7x+5):35x-24

add 24 to both sides

35-24+24<-5x+1+24

simplify

35x<-5x+25

add 5x to both sides

35x+5x <-5x+25x+5x

simplify

40x/40 <25/40

simplify

x<5/8

Answer:

First bullet point

Step-by-step explanation:

3x+8=35

3x=27

x=9

Answer:

60

Step-by-step explanation:

Answer:

k ≥ -15

Step-by-step explanation:

I hope that this helps!

The answer is 47/55

It can be calculated by adding both fractions together

= 2/5 + 5/11

The LCM between the two fractions is 55

= 22+25/55

= 47/55

Hence the answer is 47/55

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The number of degrees of freedom increases, the t-distribution becomes closer to the standard normal distribution, and the critical value of t approaches the value of 1.96, which is the critical value of z for a 95% confidence interval based on the standard normal distribution.

The critical value of t for a 95% confidence interval changes as the number of degrees of freedom increases in the following way:

As the number of degrees of freedom increases, the critical value of t decreases.

This is because the t-distribution becomes more concentrated around its mean of 0 as the number of degrees of freedom increases.

The t-distribution is a family of probability distributions that depend on the number of degrees of freedom.

The number of degrees of freedom is small, the t-distribution has more spread or variability, and the tails of the distribution are wider than the normal distribution.

The number of degrees of freedom increases, the t-distribution approaches the normal distribution, which has a fixed and known critical value for a given level of confidence.

If we consider a 95% confidence interval with 10 degrees of freedom, the critical value of t is approximately 2.228.

But if we increase the degrees of freedom to 50, the critical value of t decreases to approximately 2.009.

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Sneha's current age is 16 years old. Sneha's mother is 44 years old.

Let's assume Sneha's current age is x.

Sneha's mother's current age = 2x + 12

After 8 years, Sneha's age = x + 8

After 8 years, Sneha's mother's age = 2x + 12 + 8 = 2x + 20

After 8 years, Sneha's mother's age will be 20 less than three times Sneha's age: 2x + 20 = 3(x + 8) - 20

Now we can solve for x:

2x + 20 = 3(x + 8) - 20

2x + 20 = 3x + 24 - 20

2x + 20 = 3x + 4

x = 16

Therefore, Sneha's current age is 16 years old.

Sneha's mother's current age = 2x + 12

= 2(16) + 12 = 44

So, Sneha's mother is 44 years old.

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Answer:

a.

\(f(t) = 21000( {.918}^{t} )\)

b.

\(f(4) = 21000( {.918}^{4}) = 14913.86\)

option (a) is correct.

In order to solve for x, we'll start by first isolating the squared term: -2(x - 2)² = -5

Dividing both sides by -2: (x - 2)² = 5/2

Taking square roots on both sides: x - 2 = ±√(5/2)x = 2 ± √(5/2)≈ 3.58 or 0.42

So, the value of x is a.

x = 3.58, 0.42 (rounded to the nearest hundredth).

Therefore, option (a) is correct.

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The value of y found by using the definition and theorem of same side interior angles for the angles formed between the parallel lines \(\overleftrightarrow{AB}\) and \(\overleftrightarrow{CD}\) is; C. 30

Same side interior angles are angles formed in the interior of two lines that have a common transversal, with the angles located on the same side of the transversal.

The information in the question are;

Line \(\overleftrightarrow{AB}\) is parallel to line \(\overleftrightarrow{CD}\)

Angle y° and 150° are same side interior angles between parallel lines, by the definition of same side interior angles, therefore;

y° and 150° are supplementary angles (Same side interior angles formed between parallel lines are supplementary).

y° + 150° = 180° Definition of supplementary angles

y° = 180° - 150° = 30°

The value of y is 30°

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According to the given statement the area of shaded region is is 20 units squared.

As an outcome, an isosceles triangle has two equal sides as well as two equal angles. As from Greek words iso (same) and skelos, the phrase is formed (leg). Except for a right triangle, which has quadrilateral on all sides, a scalene triangle lacks equal sides on each side.

The slope of the line connecting the bottom right vertex of something like the triangle to the top left vertex of both the square is equal to -1/2.

This line's equation is y = (-1/2)x + 10. (1)

The point at the triangle's top vertex is (15, 10)

The slope of the segment between (10, 0) and (15, 10) is 10/5, which equals two.

The line connecting these two locations has the equation y = 2(x - 10) y = 2x - 20. (2)

You may get the x coordinate of the point where these lines cross by putting (1) = (2) 

(-1/2)x + 10 = 2x - 20 

30 = [5/2]. x x equals 12 and y equals 2(12) - 20 = 4.

Therefore, the triangle's shaded area's height is 4 and its base is 10.

Its area is therefore (1/2)(4)(10) = 20 units squared.

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Answer:

y-7=3(x+2)

Step-by-step explanation:

Point Slope Form is:

\(y-y_1=m(x-x_1)\)

We are given the point of (-2, 7) and the slope of 3.

Plug in the appropriate values:

\(y-y_1=m(x-x_1)\rightarrow \boxed{y-7=3(x+2)}\)

Hope this helps.

The simplified expressions are: (a) z = 1/4, (b) 3z^2, (c) -4z, and (d) 3z^2.

To simplify each expression by performing the indici, we need to follow the order of operations and combine like terms. Here are the steps for each expression:

(a) z + 3z = 1
First, we need to combine the like terms on the left side of the equation. Since both terms have the variable z, we can add them together:
4z = 1
Next, we need to solve for z by isolating the variable on one side of the equation. We can do this by dividing both sides of the equation by 4:
z = 1/4

(b) z * 3z
To simplify this expression, we just need to multiply the two terms together:
3z^2

(c) -z - 3z
To simplify this expression, we need to combine the like terms. Since both terms have the variable z, we can add them together:
-4z

(d) (-z)(-3z)
To simplify this expression, we just need to multiply the two terms together. Remember that a negative times a negative is a positive:
3z^2

So the simplified expressions are: (a) z = 1/4, (b) 3z^2, (c) -4z, and (d) 3z^2.

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