Which of these statements is true for f(x) = 5.6)^x?

The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

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To solve this problem, we need to use the Poisson distribution since it deals with the probability of a certain number of events occurring in a fixed interval of time or space.

(a) To find the probability of receiving exactly 4 bad checks on a given day, we can use the Poisson formula:

P(x = k) = (e^(-λ) * λ^k) / k!

where λ is the average rate of occurrence (6 bad checks per day) and k is the number of events we want (4 bad checks).

Plugging in the values, we have:

P(x = 4) = (e^(-6) * 6^4) / 4!

Calculating this expression will give us the probability of receiving exactly 4 bad checks on a given day.

(b) To find the probability of receiving at most 10 bad checks over any 3 consecutive days, we need to calculate the probabilities for 0, 1, 2, 3, 4, ..., 10 bad checks and sum them up. Since each day is independent, we can use the Poisson distribution for each day and multiply the probabilities together. Then, sum up the probabilities for the desired range. P(at most 10 bad checks in 3 days) = P(x = 0) + P(x = 1) + P(x = 2) + ... + P(x = 10) where P(x = k) is the probability of receiving exactly k bad checks on a given day. Using the Poisson formula, we can calculate each term and sum them to find the final probability.

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Answer:

a

Step-by-step explanation:

The area of the associated sector is: 120π

A sector is the portion of the area of a circle surrounded by an arc and two radii.

Analysis:

Area of a sector = ∅/360 x π\(r^{2}\)

∅ = 75°

r = 24 units

Area of sector = 75/360 x π\((24)^{2}\) = 120\(\pi\) square units

In conclusion, the area of the associated sector is 120π square units

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Answer:

A

Step-by-step explanation:

I Just Took the Test.

Answer:

10 x 7 = 70 10 x 12 = 120 120 - 70 = 40 try 40

Step-by-step explanation:

Answer:

im guessing you want how many kernels were in the bag. its 130

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

just use guess and check. Divide each of the constants by the width of one point. When you  find a constant that matches, try that out with all the other widths, if it works with the other widths, then you found the right constant!

Answer:

Step-by-step explanation:

4x - 9y = -9 x x - 3y = (5  + 9) - 6 - 9) + 9 - 5

The volume of the total chocolate is 80 ml, where as the volume of each chocolate is 13.33 ml.

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the volume of each chocolate. Hence:

6 * volume of each chocolate = (380 - 300) ml

6x = 80

Divide both sides of the equation by 6:

x = 13.33 ml

The volume of the total chocolate is 80 ml, where as the volume of each chocolate is 13.33 ml.

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the answer is in the attachment

Hope it helps

Answer:

purple shape= 1824 inches squared

For the green rhombus:

Answer: 3 ft^2

Explanation:

you can add a line HA to split the rhombus into two triangles

Area of each triangle

= (2 x 1.5) / 2

= 1.5 ft^2

As there are two triangles, so you can just add 1.5 and 1.5 ft^2 together, and the ans is 3 ft^2

The measure of angle APB in the intersecting chords is 10⁰.

The measure of angle APB is calculated by applying intersecting chord theorem which that the angle at tangent is half of the arc angle of the two intersecting chords.

The value of m∠APB is calculated as follows;

m∠APB = ¹/₂ (arc AC - arc AB ) ( exterior intersecting secants)

The value of arc angle AC = 80⁰

The value of arc angle AB = 60⁰

Now substitute and solve for the value of angle APB as follows;

m∠APB = ¹/₂ (80 - 60 )

m∠APB = ¹/₂ ( 20 )

m∠APB = 10⁰

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The complete question is below:

In the accompanying diagram, tangent PA and secant PBC are drawn to circle O from point P. If mAC=80 and mAB=60, what is the measure of angle APB.

Answer:

15

Step-by-step explanation:

x = 2

-4x+8+2x+3 = ?

-4 (-2) + 8 + 2 (-2) + 3 =

= 8 + 8 - 4 + 3

= 16 - 4 + 3

= 12 + 3

= 15

hopefully this helped you :)

Hello there!

Parallel lines have the same slope.

So if one line has a slope of 4, then the slope of the line parallel to it has a slope of 4 as well.

Hope it helps!

Please mark Brainliest!

~Just a determined gal

\(MysteriousNature\) here to help

Cheri collected 145 number of 5 peso coin and 156 number of 10 peso coin during her family's annual outreach

An equation is used to show the relationship between numbers and variables.

Let x represent the number of 5 peso coins and y represent the number of 10 peso coin

At the end of the year, she has saved a total of Php 2285, hence:

5x + 10y = 2285    (1)

Also, she has 11 more 10 pesos than 5 peso coins, hence:

y = x + 11    (2)

Solving both equations using elimination method gives:

x = 145, y = 156

Cheri had 145 number of 5 peso coin and 156 number of 10 peso coin.  

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Answer:

Bank worker

Step-by-step explanation:

Sounds like a bank worker

It'd help if you added the answer list

The cost of a small cup of coffee is $2.97, and the cost of a piece of banana bread is $5.13.

Let x represent the cost of a small coffee and y represent the cost of a piece of banana bread. We know:

Cost of muffin: $3.51

y = x + $2.16

5(x + $3.51) + 2(x + y) = $48.60

Substitute y with x + $2.16:

5(x + $3.51) + 2(x + (x + $2.16)) = $48.60

Solve for x:

9x + $21.87 = $48.60

9x = $26.73

x = $2.97

Find y:

y = x + $2.16

y = $2.97 + $2.16

y = $5.13

A slice of banana bread costs $5.13, while a small coffee costs $2.97.

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The planned order releases for each item are as follows: A: 20 units in period 1, B: 10 units in period 1, C: 40 units in period 3, D: No planned order release, E: 100 units in period 5, F: 100 units in period 5

To determine the planned order releases for all items, we need to calculate the net requirements for each period based on the given information. We will start with the highest-level item and work our way down the bill of materials.

Item A:

Period 1: Gross requirement of 20 units.

Since A uses lot-for-lot (L4L) as the lot-sizing technique, we release an order for 20 units of A.

Item B:

Item B is a component of A, and each A requires 2 units of B.

We need to calculate the net requirements for B based on the planned order release for A.

Period 1: Gross requirement of 20 units * 2 (requirement multiplier for B) = 40 units.

B has a scheduled receipt of 30 units in period 1.

Net requirement for B in period 1: 40 units - 30 units = 10 units.

Since B also uses L4L as the lot-sizing technique, we release an order for 10 units of B.

Item C:

Item C is a component of A, and each A requires 3 units of C.

We need to calculate the net requirements for C based on the planned order release for A.

Period 1: Gross requirement of 20 units * 3 (requirement multiplier for C) = 60 units.

C has a lead time of two periods, so we need to account for that.

Net requirement for C in period 3: 60 units - 20 units (scheduled receipt for A in period 1) = 40 units.

Since C uses L4L as the lot-sizing technique, we release an order for 40 units of C.

Item D:

Item D is a component of C, and each C requires 1 unit of D.

We need to calculate the net requirements for D based on the planned order release for C.

Period 3: Gross requirement of 40 units * 1 (requirement multiplier for D) = 40 units.

D has a lead time of one period, so we need to account for that.

Net requirement for D in period 4: 40 units - 60 units (scheduled receipt for C in period 3) = -20 units (no requirement).

Since the net requirement is negative, we do not release any planned order for D.

Item E:

Item E is a component of C, and each C requires 1 unit of E.

We need to calculate the net requirements for E based on the planned order release for C.

Period 3: Gross requirement of 40 units * 1 (requirement multiplier for E) = 40 units.

E has a lead time of two periods, so we need to account for that.

Net requirement for E in period 5: 40 units - 0 units (no scheduled receipt for E) = 40 units.

Since E requires a multiple of 100 to be purchased, we release an order for 100 units of E.

Item F:

Item F is a component of B and C, and each B requires 1 unit of F, while each C requires 2 units of F.

We need to calculate the net requirements for F based on the planned order releases for B and C.

Period 1: Gross requirement for B = 10 units * 1 (requirement multiplier for F) = 10 units.

Period 3: Gross requirement for C = 40 units * 2 (requirement multiplier for F) = 80 units.

F has a lead time of two periods, so we need to account for that.

Net requirement for F in period 5: 10 units + 80 units - 0 units (no scheduled receipt for F) = 90 units.

Since F requires a multiple of 100 to be purchased, we release an order for 100 units of F.

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Answer: -3

Step-by-step explanation:

5 times -3 is -15

-15 + 30 is 15

Answer:

2x - 5yz.

Step-by-step explanation:

4x^2 - 25y^2z^2

This is the difference of 2 squares: a^2 - b^2 = (a - b)(a + b), so we have:

4x^2 - 25y^2z^2

= (2x - 5yz)(2x + 5yz).

In doing a quantity takeoff for 100 square feet of single wythe concrete masonry wall, with a thickness of 8", we would need  14.06 8x8x16 block and 10.14 cubic feet mortar.

Number of blocks:

Since each block is 8x8x16 inches, the volume of one block is:

Volume of one block = Length x Width x Height

                                   = 8 inches x 8 inches x 16 inches

                                   = 1024 cubic inches

To calculate the number of blocks needed, we divide the wall area by the area of one block:

Number of blocks = Wall area in square inches / Area of one block

                              = 14,400 square inches / 1024 cubic inches

                              ≈ 14.06

Rounding to the nearest whole number, the correct answer is 14 blocks.

Amount of mortar:

To determine the amount of mortar needed, we multiply the wall area by the joint thickness:

Volume of mortar = Wall area x Joint thickness

                              = 100 square feet x 1 square foot/144 square inches x 8 inches x 3/8 inches

                              ≈ 10.14 cubic feet

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Answer:

x = 2\(\sqrt{2}\)

Step-by-step explanation:

Using the sine or cosine ratio in the right triangle and the exact value

cos45° = \(\frac{\sqrt{2} }{2}\) , then

cos45° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{x}{4}\) = \(\frac{\sqrt{2} }{2}\) ( cross- multiply )

2x = 4\(\sqrt{2}\) ( divide both sides by 2 )

x = 2\(\sqrt{2}\)

Out of 400 band-aids, 200 were used yesterday. Therefore, the percentage of band-aids used yesterday is 50%.

You started with 4 boxes × 100 band-aids per box

= 400 band-aids.

You ended with 2 boxes × 100 band-aids per box

= 200 band-aids

So you used

400 band-aids - 200 band-aids = 200 band-aids yesterday.

To find the percentage of band-aids used, you can divide the number of band-aids used by the total number of band-aids you started with and multiply by 100:

= (200 band-aids / 400 band-aids) × 100

= (1/ 2) × 100

= 50%

Therefore, 50% of the band-aids were used yesterday.

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The number of Americans experience hearing loss sufficient to affect communication is: 1 in 4.

According to the National Institute on Deafness and Other Communication Disorders (NIDCD).

Approximately 1 in 4 adults in the United States aged 65 and older have hearing loss that is sufficient to affect communication.

This is based on data from a survey conducted by the NIDCD and the National Health Interview Survey.

NIDCD (National Institute on Deafness and Other Communication Disorders).

In the United States, 1 in 4 persons 65 and older suffer hearing loss severe enough to impair conversation.

This is based on information from surveys done by the National Health Interview Survey and the NIDCD.

The number of Americans who experience hearing loss sufficient to affect communication is: 1 in 4.

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The dimensions of such a cylinder which has maximum volume are radius = 1.61 units and height = 2.75 units.

So, the formula of the volume of a cylinder is V = πr²h.

Where V is the volume of the cylinder, π is pi (3.14), r is the radius of the base of the cylinder and  h is the height of the cylinder

Let's say that the radius and height of the cylinder are r and h respectively.

Since the cylinder is inscribed inside the right circular cone, the height, and radius of the cylinder must be less than or equal to the height and radius of the cone respectively.

The height of the cylinder, h is less than or equal to the height of the cone, 4.5.

Therefore, we have the inequality h ≤ 4.5. The radius of the cylinder, r is less than or equal to the radius of the cone at the base, 5.5.

Therefore, we have the inequality r ≤ 5.5.

So, we need to maximize the volume of the cylinder which is given by V = πr²hSubject to the constraints r ≤ 5.5h ≤ 4.5

So, using the Lag range multiplier method, we have

L = πr²h + λ1(5.5 - r²) + λ2(4.5 - h)

where λ1 and λ2 are Lag range multipliers.

Let's find the partial derivatives of L with respect to r, h and λ, and equate them to zero.

∂L/∂r = 2πrh - 2λ1r = 0∂L/∂h = πr² - λ2 = 0∂L/∂λ1 = 5.5 - r² = 0∂L/∂λ2 = 4.5 - h = 0.

Solving the above equations, we have h = r√(11/8)

The maximum volume of the cylinder is given by V = πr²h = πr⁴√(11/8).

So, the volume of the cylinder is maximum when h = r√(11/8). Substituting this in the volume equation, we have V = πr⁴√(11/8).

Now, we can substitute the value of r in terms of h in the inequality r ≤ 5.5h ≤ 4.5 and find the value of h that maximizes the volume of the cylinder.

Solving, we have h = 2.75. So, the dimensions of the cylinder which has the maximum volume are r = h/√(11/8) = 1.61 (approx)h = 2.75.

So, the radius of the cylinder is approximately 1.61 units, and its height is 2.75 units.

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Where the above conditions are given,  the correct option is: Plan 1 is a better deal for more than 5 cards purchased.

To determine   which pricing plan is a better deal,we need to compare the total cost for a certain number of game cards purchased.

Let's calculate the   total cost for different numbers  of game cards.

For Plan 1  -

- Admission fee  - $5 (fixed)

- Cost per game card  - $1

For Plan 2  -

- Admission fee  - $2.50 (fixed)

- Cost per game card  - $1.50

Now, let's compare the total cost for different numbers of game cards  -

1. If you purchase 1 game card  -

  - Plan 1  - $5 (admission fee) + $1 (cost per game card) = $6

  - Plan 2  - $2.50 (admission fee) + $1.50 (cost per game card) = $4

2. If you purchase 5 game cards  -

  - Plan 1  - $5 (admission fee) + $5 (cost for 5 game cards) = $10

  - Plan 2  - $2.50 (admission fee) + $7.50 (cost for 5 game cards) = $10

3. If you purchase 8 game cards  -

  - Plan 1  - $5 (admission fee) + $8 (cost for 8 game cards) = $13

  - Plan 2  - $2.50 (admission fee) + $12 (cost for 8 game cards) = $14.50

Based on these calculations, we can conclude that  -

- Plan 1 is a better deal for more than 5 cards purchased.

- Plan 2 is a better deal for more than 8 cards purchased.

Therefore, the correct option is  - Plan 1 is a better deal for more than 5 cards purchased.

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Answer:

the answer would be A.

Step-by-step explanation:

because it done not matter how many times the spinner has landed on a certain letter it is still always gonna be a 1/4th chance to land on any letter

Answer:

5 lollies are left over

Step-by-step explanation:

Total lollies Jordan has = 47

Number of boys at the party = 6

If the lollies are shared equally,

Number of lollies each boy gets = Total lollies ÷ number of boys

= 47 ÷ 6

= 7 lollies remainder 5

That is,

6 boys × 7 lollies each = 42 lollies

How many lollies were leftover.

Remaining lolly = Total lollies - shared lollies

= 47 - 42

= 5 lollies are left over