1. A television is advertised for sale at 33% off. The original price is x dollars.

(a) Write two different equivalent expressions to represent the sale price of the TV.

(b) What do the two different expressions reveal about the relationship between the sale price and the original price? ​

Answer:

$2.50/pound

Step-by-step explanation:

Because if its $5for 2 pounds divide by 5 by 2 to see how much 1 pound costs

Answer:

The value of the house when it was purchased was $137,280.

Step-by-step explanation:

To solve this equation, you need to multiply 429,000 by 32%.

429,000 x 0.32 = $137,280

Hope this helped!

Answer:

0..................

Answer:

0

Step-by-step explanation:

Answer:

all two digit whole number which are divisible by 11 are

22+33+44+55+66+77+88+99=484

Answer: 495

Step-by-step explanation:

11+22+33+44+55+66+77+88+99 =495

Ramesh will bear a total medical expense of RM1,760, and the insurance company will cover RM2,900.

1. Ramesh's deductible is RM1,500 per year. This means that he is responsible for paying the first RM1,500 of medical expenses before the insurance coverage kicks in.

2. For the first treatment, the medical cost was RM700. Since this amount is less than the deductible, Ramesh will have to pay the entire RM700 out of pocket.

3. For the second treatment, the medical cost was RM2,000. Since Ramesh has already met his deductible with the first treatment, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the remaining RM500 (RM2,000 - RM1,500), which amounts to RM100. The insurance company will cover the remaining 80% of RM500, which amounts to RM400.

4. For the third treatment, the medical cost was RM1,700. Again, since Ramesh has already met his deductible, the insurance company will cover a portion of the expenses. Ramesh will be responsible for 20% of the entire cost, which amounts to RM340 (20% of RM1,700). The insurance company will cover the remaining 80% of RM1,700, which amounts to RM1,360.

5. To calculate the total medical expenses borne by Ramesh, we add up the amounts he is responsible for in each treatment: RM700 + RM100 + RM340 = RM1,140.

6. The total medical expenses covered by the insurance company can be calculated by adding up the amounts they pay in each treatment: RM400 + RM1,360 = RM1,760.

7. Finally, to find the overall amount borne by Ramesh and the insurance company, we sum up the individual expenses: Ramesh's expenses + insurance company's expenses = RM1,140 + RM1,760 = RM2,900.

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Answer:

afdgdfdf

Step-by-step explanation:

Answer:

its going up by 1 each time theres a new number so next youll multiply 4 by 120 which is 480

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The expression for the nth term in the sequence are Tₙ = 12 + 2(n -1) and Tₙ = 25 + -5(n - 1)

A sequence is an arrangement of any objects or a set of numbers in a particular order followed by some rule.

If the elements of the sequence are in increasing order, then the order of the sequence is ascending.

If the elements of the sequence are in decreasing order, then the order of the sequence is descending.

There are two types of sequences: finite sequences and infinite sequences. It is possible to count the number of terms in a finite sequence. An infinite sequence is a sequence that is not finite.

In the first sequence 12, 10, 8, 6, 4

The first term (a) = 12

The common difference (d) = -2

Tₙ = a + (n - 1)d

Tₙ = 12 + (n - 1)-2

Tₙ = 12 + 2(n -1)

b) In the second sequence, 25, 20, 15, 10, 5

First term (a) = 25

common difference (d) = -5

Tₙ = a + d(n - 1)

Tₙ = 25 + -5(n - 1)

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The first 2 years' depreciation expenses using the units of production method are $2,805 and $6,035, respectively.

Using the units of production method, we can calculate the depreciation expense based on the number of units the machine produces each year. To do this, we need to calculate the depreciation per unit of production first.

Depreciation per unit = (Purchase price - Residual value) ÷ Estimated total units of production

= (28,500 - 5,500) ÷ 115,000

= 0.17 per unit

Year 1 depreciation expense = Depreciation per unit x Units produced in year 1

= 0.17 x 16,500

= 2,805

Year 2 depreciation expense = Depreciation per unit x Units produced in year 2

= 0.17 x 35,500

= 6,035

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Answer:

Calculating p-value from excel  

p-value = 0.144458 (From excel  =T.DIST.RT(1.091,19))  

p-value = 0.144458 > 0.05  

So, we failed to reject the null hypothesis. There is sufficient evidence to conclude that they pay not more than the national average of $4172.

Step-by-step explanation:

Here the given de4tails are,

Hypothesized mean = 4172

Sample Standard deviation = 1590

Sample mean = 4560

Sample size n = 20

Formulation of hypothesis

Answer:

Step-by-step explanation:

Given the area of the square as A = 98ft²

The side length of the square will be equivalent to the diameter of the circle.

First we need to get the length of the square.

Area of a square = L^2

98 = L²

L = √98

L = 9.89 ft

Hence the diameter of the circle is 9.89 ft

radius = diameter/2

radius = 9.89/2

radius ≈ 4.95 feet

Hence the radius of the circle is approximately 4.95 feet

Answer:

Step-by-step explanation:

Edit:

y = (7/9)x = 3

9514 1404 393

Answer:

  y = 11/3x -3

Step-by-step explanation:

The slope of a line is the tangent of the angle it makes with the x-axis. The slope of the given line is 3/2, so the angle it makes with the x-axis is arctan(3/2) ≈ 56.310°. We want a line that makes an angle of arctan(1/3) ≈ 18.435° with the given line, so its slope will be ...

  tan(56.310° +18.435°) = tan(74.745°) = 11/3

The y-intercept of the desired line is given as (0, -3), so the equation of the line we want is ...

  y = 11/3x -3

_____

Additional comment

The desired slope can be found using the formula for the tangent of the sum of angles. However, simply adding the angles on a calculator saves a lot of arithmetic. (Full precision values must be used.)

The line we have found is at the desired angle measured CCW from the point of intersection with the given line. If you allow the line to have that angle measured CW from the point of intersection, then the slope will be 7/9, and the equation will be ...

  y = 7/9x -3

Answer:

Step-by-step explanation:

(2x + 7)(x + 1)

answer is A

The expression tan59° = h/17 can be used to determine the height (h), in feet, of the flagpole.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The height of the flagpole is the opposite side of the right triangle formed by the flagpole, its shadow on the ground, and the line from the top of the flagpole to the end of the shadow.

The angle of elevation of the sun is opposite the height of the flagpole, and the length of the shadow is the adjacent side.

Therefore, the tan of the angle of elevation is equal to the height of the flagpole divided by the length of the shadow:

tan59° = h/17

Thus, the correct expression to determine the height of the flagpole is:

B. tan59° = h/17

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Answer:

Option 3

Step-by-step explanation:

Each value of x maps onto one value of y and vice versa.

Answer:

Null hypothesis: There is no significant difference in aging time of old methods of culturing cheese and the new method of culturing cheese.

Or

H0:μ1=μ2.

Alternative hypothesis: The new method of culturing cheese reduces aging time as compared to old method of culturing cheese

Or

Ha:μ1>μ2.

Step-by-step explanation:

We are interesting in investigating that whether the the new method of culturing cheese significantly reduces aging time compared to old method of culturing cheese. Null hypothesis always contain equality so, in null hypothesis we make the statement of no difference among both methods of culturing cheese. So, null hypothesis can be written as

Null hypothesis: There is no significant difference in mean aging time of old methods of culturing cheese and the new method of culturing cheese.

Or symbolically it can be written as

H0:μ1=μ2

whereas μ1 represents mean aging time for old method and μ2 represents mean aging time for new method.

Alternative hypothesis includes difference in methods which in this case is the claim about new method of culturing cheese reduces aging time. So, it means that mean aging time of old method will be greater than mean aging time of new method. So, the alternative hypothesis can be written as

Alternative hypothesis: The new method of culturing cheese reduces mean aging time as compared to old method of culturing cheese

Or symbolically it can be written as

Ha:μ1>μ2

whereas μ1 represents mean aging time for old method and μ2 represents mean aging time for new method.

Answer:

45/49

Step-by-step explanation:

The first step to dividing fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. Finally, simplify the fractions if needed.

9/14 * 10/7 = 90/98

divide the numerator and the denominator by 2.

90 * 2 = 45

98 * 2 = 49

45/49

The integral\int(1/x^4 + 9x^2) dx converges by comparison to a convergent integral, and its value is 1/3

To determine whether the integral converges or diverges, we can use the limit comparison test with the integral:

Since for all x > 0, we have:

Thus, by the limit comparison test:

converges if and only if converges.

We can evaluate  using the power rule of integration:

where C is the constant of integration. Evaluating this integral from 1 to infinity, we get:

∫(1/x^4) dx from 1 to infinity = lim as b → infinity

=>

=> 0 - (-1/3)

=> 1/3

Since the integral  dx converges by comparison to a convergent integral, and its value is 1/3.

To learn more about  Convergent integral :

Note: The full question is

Determine whether the integral converges or diverges; if it converges, evaluate. (If the quantity diverges, enter DIVERGES. Do not use the [infinity] symbol in your answer.) [infinity] dx x4 + 9x2 1

Answer:

A=4 -3 5.3748362

Step-by-step explanation:

Answer:

a. The minimum number of 1-inch cuts for a 30-inch stick is 5.

b. The minimum number of 1-inch cuts for a 33-inch stick is 6.

c. 2ˣ ⁻¹ < n < 2ˣ

Where x shows the minimum number of cuts needed.

Where 2ˣ ⁻¹ shows the starting point of cutting for the minimum number of cuts.

Step-by-step explanation:

a. Solve the problem for a 30-inch stick.

We need to cut a 30-inch wooden stick into 1-inch pieces.

2⁴ < 30 < 2⁵

16 < 30 < 32

Which means that we need to make at least 5 cuts and the starting point of cutting should be 16 in.

1st Cut:

Cutting the wood at 16 in. gives at most 2 pieces

No. of pieces  |  size (in) |  No. of pieces  |  size (in)  

          1             |      16      |            1             |     14

2nd Cut:

Cutting the wood at 8 in. gives at most 4 pieces

No. of pieces  |  size (in) |  No. of pieces  |  size (in)  

          3             |      8      |            1             |     6

3rd Cut:

Cutting the wood at 4 in. gives at most 8 pieces

No. of pieces  |  size (in) |  No. of pieces  |  size (in)  

          7             |      4      |            1             |     2

4th Cut:

Cutting the wood at 2 in. gives at most 16 pieces (actual 15)

No. of pieces  |  size (in) |  No. of pieces  |  size (in)  

          14           |      2       |            1             |     2

5th Cut:

Cutting the wood at 1 in. gives at most 32 pieces (actual 30)

No. of pieces  |  size (in) |  No. of pieces  |  size (in)  

          28          |      1        |            2            |     1

Hence total pieces are 28 + 2 = 30 and size is 1 inch.

Therefore, the minimum number of 1-inch cuts for a 30-inch stick is 5.

b. Solve the problem for a 33-inch stick.

We need to cut a 33-inch wooden stick into 1-inch pieces.

2⁵ < 30 < 2⁶

32 < 33 < 64

Which means that we need to make at least 6 cuts and the starting point of cutting should be 32 in.

1st Cut:

Cutting the wood at 32 in. gives at most 2 pieces

No. of pieces  |  size (in) |  No. of pieces  |  size (in)  

          1             |      32      |            1             |     1

2nd Cut:

Cutting the wood at 16 in. gives at most 4 pieces (actual 3)

No. of pieces  |  size (in) |  No. of pieces  |  size (in)  

          2             |      16      |            1             |     1

3rd Cut:

Cutting the wood at 8 in. gives at most 8 pieces (actual 5)

No. of pieces  |  size (in) |  No. of pieces  |  size (in)  

          4             |      8      |            1             |     1

4th Cut:

Cutting the wood at 4 in. gives at most 16 pieces (actual 9)

No. of pieces  |  size (in) |  No. of pieces  |  size (in)  

          8           |      4       |            1             |     1

5th Cut:

Cutting the wood at 2 in. gives at most 32 pieces (actual 17)

No. of pieces  |  size (in) |  No. of pieces  |  size (in)  

          16          |      2       |            1            |     1

6th Cut:

Cutting the wood at 1 in. gives at most 64 pieces (actual 33)

No. of pieces  |  size (in) |  No. of pieces  |  size (in)  

          32          |      1       |            1            |     1

Hence total pieces are 32 + 1 = 30 and size is 1 inch.

Therefore, the minimum number of 1-inch cuts for a 33-inch stick is 6.

c. State a general formula for the minimum number of cuts for an n-inch stick.

2ˣ ⁻¹ < n < 2ˣ

Where x shows the minimum number of cuts needed.

Where 2ˣ ⁻¹ shows the starting point of cutting for minimum number of cuts.

Answer:

J= Javiers age

5J=60

5J/5= 60/5

J= 12

Check:

5(12)= 60

60=6p

Step-by-step explanation:

see answer

hope this helps

The properties of quadratic functions cause this "death ray" effect is discussed below.

The "death ray" effect refers to the phenomenon where a quadratic function appears to have a sharp point or vertex that shoots off to infinity in a graph. This effect is caused by the properties of quadratic functions, specifically:

The degree of the quadratic function: Quadratic functions have a degree of 2, which means they have a leading term that is a squared variable (x²). This leads to a graph that is a parabola.

The coefficient of the squared term: The coefficient of the squared term in the quadratic function determines the shape of the parabola. If the coefficient is positive, the parabola opens upward, and if the coefficient is negative, the parabola opens downward.

However, when the coefficient of the squared term is negative (a < 0), the graph of the quadratic function opens downward, and the vertex represents the maximum point of the parabola.

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The volume of the volleyball is  6,367.4 cm³

For a sphere of radius R, the circumference is:

C = 2*3.14*R

and the volume is:

V = (4/3)*3.14*R³

Here the circumfernce is 72.2cm, then we can write:

72.2cm = 2*3.14*R

(72.2cm/2*3.14) = R

11.5cm = R

Then the volume is approx:

V = (4/3)*3.14*(11.5cm)³ = 6,367.4 cm³

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Answer:

θ= 150°

Step-by-step explanation:

Look at the picture below

Answer:

just shade in the same thing

just shade in the same thing

The true statement is if k = - 1 there are solutions, but if k = - 3 there are no solutions

Given: |x+3|-2=k

Below are rules for solving absolute value equations:

1. If p is positive and |y| = p, then

x = p   OR    y = -p

(two equations are set up)

2. If p is negative and |y| = p, then

No solution

3. If p is zero  and |y| = p, then

One solution

Using the rules:

|x+3|-2=k

when k = -1

|x+3|-2= -1    

|x+3| = 1

Rule 1 is applicable here. Thus, there are solutions  

when k = -3

|x+3|-2 = -3

|x+3| = -1

Rule 3 is applicable here. Thus, no solution

Therefore, if k = - 1 there are solutions, but if k = - 3 there are no solutions.     The 2nd option is the true statement

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Answer:

Step-by-step explanation:

y = 10/4 x

y = 2.5 x

Answer:

(-5, 2)

Step-by-step explanation:

We can see that the g(x) is a translated form of f(x) using the formula:

y = (x - h)³ + k,

where (h, k) is the origin of the graph's translation.

We can assign the following h and k values based on the given g(x):

g(x) = (x + 5)³ + 2

h = -5

k = 2

Finally, we can form an ordered pair (h, k):

(-5, 2)