35. The mean of four numbers is 23. A fifth number, 33, is added to the
total. What is the new mean?

Answer:

(x) ∠CAB

Step-by-step explanation:

In ΔCOD and ΔBOA

\(\frac{OA}{OB} = \frac{OD}{OC} \\\\\implies \frac{OC}{OB} = \frac{OD}{OA}\)

Also,

∠COD = ∠BOA (vertically opposite angles)

⇒ ΔCOD and ΔBOA are similar

⇒ ∠CDO = ∠BAO

⇒ ∠CDB = ∠BAC

⇒ ∠CDB = ∠CAB

Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.

We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000

At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.

For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals

1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000

For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2

For the seventh payment (end of year 7), the present value is:

7,000 x [(1 - (1 + r)-7) / r]

which equals

7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7

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Step-by-step explanation:

\( \frac{3}{4} = \frac{w}{28}\)

\( \frac{3}{4} = \frac{w}{4 \times 7} \)

\(3 = \frac{w}{7} \)

\(w = 21\)

Answer:27Step-by-step explanation:

Answer:

54 rolls of wrapping paper

Step-by-step explanation:

Carly = 18 rolls

Jasmine = (18×2) = 36 rolls

18 + 36 = 54 rolls

Hope it helps :D

The angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

To find the measure of the angle between the sides measuring 4 and 5 in an obtuse triangle with side lengths 4, 5, and 7, we can use the Law of Cosines. The Law of Cosines states that in a triangle with side lengths a, b, and c, and an angle opposite to side c, the following equation holds:

\(c^2 = a^2 + b^2 - 2ab*cos(C)\)

In this case, we have side lengths a = 4, b = 5, and c = 7. We want to find the angle C, which is opposite to side c. Substituting these values into the Law of Cosines, we get:

\(7^2 = 4^2 + 5^2\)- 2(4)(5)*cos(C)

49 = 16 + 25 - 40*cos(C)

49 = 41 - 40*cos(C)

40*cos(C) = 41 - 49

40*cos(C) = -8

cos(C) = -8/40

cos(C) = -0.2

To find the measure of angle C, we can take the inverse cosine (arccos) of -0.2:

C = arccos(-0.2)

Using a calculator, we find that C ≈ 101.54 degrees.

Therefore, the measure of the angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

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Step-by-step explanation:

∫ t⁷ e^(-t⁴) dt

If x = -t⁴, then dx = -4t³ dt, and ¼ x dx = t⁷ dt.

∫ ¼ x eˣ dx

If u = ¼ x, then du = ¼ dx.

If dv = eˣ dx, then v = eˣ.

∫ u dv = uv − ∫ v du

= ¼ x eˣ − ∫ ¼ eˣ dx

= ¼ x eˣ − ¼ eˣ + C

= ¼ eˣ (x − 1) + C

Substitute back:

= ¼ e^(-t⁴) (-t⁴ − 1) + C

The procedure would be as demonstrated in the attachment(s). As you can see your solution will be,

\(\frac{1}{4}\left(-e^{-t^4}t^4-e^{-t^4}\right)+C\)

Answer:

$700

Step-by-step explanation:

Given that,

The sales tax in the town where Amanda lives is 5%.

Amanda paid $35  in sales tax on a new stereo.

We need to find the price of the stereo. Let it is x. Using the formula for percentage as follows :

\(\%=\dfrac{\text{sales tax}}{\text{total}}\times 100\\\\5\%=\dfrac{35}{x}\times 100\%\\\\x=\dfrac{35\times 100\%}{5\%}\\\\=\$700\)

So, the price of the stereo is $700. Hence, the correct option is(c).

something noteworthy is that, the y-coordinate for Line 1 is the same, well that simply means that Line 1 is a horizontal line, anything perpendicular to a horizontal line is simply a vertical line, Check the picture below.

Answer:37

Step-by-step explanation:

<UYW=<UYV+<VYW=36+2x=110

2x=110-36=74

x=74/2=37

Answer:

10 =x

Step-by-step explanation:

-90 = -100 + x

Add 100 to each side to isolate x

-90+100 = -100+100 + x

10 =x

Answer:

  D.  15(cos(23π/12) +i·sin(23π/12))

Step-by-step explanation:

You want the product 5(cos(π/4 +i·sin(π/4))×3(cos(5π/3) +i·sin(5π/3)).

The product is ...

  A·cis(a) × B·cis(b) = AB·cis(a+b)

where "cis(x)" means (cos(x) +i·sin(x))

  5·cis(π/4) × 3·cis(5π/3) = (5·3)·cis(π(1/4+5/3)) = 15·cis(23π/12)

The product is 15·(cos(23π/12) +i·sin(23π/12)).

Kinzang grew 0.96 meters.

We have,

To find how much Kinzang grew, we need to subtract his height at birth from his current height:

Height Kinzang grew = Current height - Height at birth

Height Kinzang grew = 1.49 m - 0.53 m = 0.96 m

Therefore,

Kinzang grew 0.96 meters.

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Step-by-step explanation:

when a line cuts through 2 parallel lines, it does the exact same thing to both lines. it has to. because they are parallel, they act as if they are identical. only their placement is different, but this has no impact on the angles between the lines.

now, imagine a circle with the center at one of the crossing points. this circle is cut in half by the central line.

you know how many degrees a full circle has ?

360 degrees.

now, how many degrees are represented by the half- circle above or below the center line ?

of course, half of the degrees of the full circle. that means 180 degrees.

so, all the angles around a single point on one side of a line must have how many degrees together ?

right, these half-circle 180 degrees again.

because of everything we said up there, the angle 4x+6 is the same as the angle right of the 7x-2 angle.

so, 7x-2 and 4x+6 must be 180 degrees together.

that is called "supplementary angles".

7x - 2 + 4x + 6 = 180

11x = 176

x = 16

Answer:

x=5\3,-2\3

Step-by-step explanation:

Answer:

2 3/5 inches in a year

Step-by-step explanation:

28 1/5 - 25 3/5 = 141/5 - 128/5 = 13/5 = 10/5 + 3/5 = 2 + 3/5 = 2 3/5

Step-by-step explanation:

basketball = 40 %

football = 30 %

baseball = 20 %

soccer = 10 %

Answer:

f(x)=-9+3x

Step-by-step explanation:

Answer:

b=9.58

Step-by-step explanation:

beep boop

relationship between v and x is C:Consecutive interior angles

Answer:

n = A/P - 1

Step-by-step explanation:

1st step: subtract P from each side to get A/P = 1+n

2nd step: subtract 1 from each side to get the answer above

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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Answer:

basically you're solving for x.

Step-by-step explanation:

x = 11/4 for exact form

in decimal form

x= 2.75

in mixed number form

x = 2 3/4

but in this case it's 2.75

Answer:

C.

Step-by-step explanation:

Hope it helps!!

Answer:

C

Step-by-step explanation:

khan also person above

Answer:

The system of linear equations has no solution.

Step-by-step explanation:

We can solve the system of linear equations using substitution or elimination method.

Here's how you can solve it using substitution:

Solve one equation for either x or y.

Substitute the expression you found in step 1 into the other equation.

Solve for the remaining variable.

Use the values you found in steps 3 to find the other variable.

Starting with the first equation:

3y = 6 + x

Solving for x:

x = 3y - 6

Next, we substitute this expression into the second equation:

3x - 9y = 9

Plugging in x = 3y - 6:

3(3y - 6) - 9y = 9

Expanding the left-hand side:

9y - 18 - 9y = 9

Combining like terms:

0y - 18 = 9

Adding 18 to both sides:

0y = 27

Since y cannot equal 0, we have a contradiction and the system has no solution.

So, the system of linear equations has no solution.

Answer:

1) 7/8     8/7

2) 4.4

3) 3.7

4) 2.8

Step-by-step explanation:

Length of bottom side of Figure A: 8 cm

Length of bottom side of Figure B: 7 cm

From Figure A to Figure B, the scale factor is 7/8.

7/8

8/7

5 × 7/8 = 35/8 = 4.375

4.4

3.2 × 8/7 = 3.657...

3.7

3.2 × 7/8 = 2.8

2.8

Answer:

The mean prior to the given set of numbers would be \(58.8\).

How So?

1. Knowing this, first order the set from least to greatest.

\(22, 35, 44, 63, 63, 71, 80,92\)

2. Then, add up all the values.

\(22+35+44+63+71+80+92=470\)

3. Finally, divide 470 by 8 (the number of values in the set).

\(470\) ÷ \(8 = 58.75\)

4. Round 58.75, leaving you with the following solution:

\(58.75=58.8\) ←Our Final Solution / Mean

______________________________________________

Hope this helps!

Answer:

b.× = 14 16

Step-by-step explanation:

#stay safe

hope it helps

The simplified expression based on tej values given is 3a⁴b + 4a³b³.

An expression is a combination of variables, constants, and operators that can be evaluated to produce a single value. In programming languages, expressions are used to represent computations and are often used to assign values to variables, compare values, or perform mathematical operations. Expressions can be simple, such as a single variable or constant, or complex, involving multiple operations and variables.

It should be noted that to simplify the expression a²b(3a² +4ab²), we can distribute the a²b term to the terms inside the parentheses using the distributive property of multiplication:

a²b(3a² +4ab²) = 3a⁴b + 4a³b³

Therefore, the simplified expression is 3a⁴b + 4a³b³.

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Answer:

Step-by-step explanation:

rise/increase/grow

Answer:

Step-by-step explanation:

The key word is increase.

People who don't have a cell phone will bid the price up until some of the people wanting a cell drop out of the bidding. Then only those willing to pay a higher price will be left to buy the cell at a much higher price than was initially thought to be the right price.

Phew. Try reading that sentence a couple of times. It's right, but there should be an easier way to say it.

Answer/Step-by-step explanation:

a. Diagonals of a rectangle are equal to each other. Therefore:

9x + 20 = 10x + 8

Collect like terms

9x - 10x = -20 + 8

-x = -12

Divide both sides by -1

x = 12

b. One of the properties of a rhombus is that, a diagonal of a rhombus bisects the angles of a rhombus. Therefore, this means that:

2x + 15 = 5x + 3

Collect like terms

2x - 5x = -15 + 3

-3x = -12

Divide both sides by -3

x = 4