4.5x + 5 = (if x = 4)

Answer:

i dont know

Step-by-step explanation:

Answer:

See below ↓↓↓

Step-by-step explanation:

(a)

(b)

(c)

a. The radius of the jump ball circle is 6 feet. b. The area of the rectangle (lane) is 228 square feet.

Area is a measure of the size of a two-dimensional shape or surface, typically expressed in square units, such as square meters (m²), square feet (ft²), or square centimeters (cm²). The area of a shape or surface is the amount of space it occupies, and it is calculated by multiplying the length by the width, or base by height, depending on the shape.

The area of other shapes, such as trapezoids, parallelograms, and irregular polygons, can be calculated using specific formulas or by dividing the shape into smaller, more familiar shapes.

Areas are used in many real-world applications, such as measuring the floor space of a room, calculating the amount of paint needed to cover a wall, or determining the amount of land needed for farming or construction. Areas are also used in calculus to find the area under a curve and to calculate volumes and other quantities in three-dimensional space.

a. The area of the circle is given as 113.04 square feet. Using the formula for the area of a circle, A=πr², we can solve for the radius, r:

113.04 = 3.14r²

r² = 113.04/3.14

r² = 36

r = √36

r = 6 feet

Therefore, the radius of the jump ball circle is 6 feet.

b. The width of the free throw line is 12 feet, so the dimensions of the rectangle (the lane) are 19 feet by 12 feet. The area of a rectangle is given by the formula A = lw, where l is the length and w is the width. Thus, the area of the lane is

A = 19 x 12

A = 228 square feet

Therefore, the area of the rectangle (lane) is 228 square feet.

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Answer:

Measure of exterior angle = 68°

Step-by-step explanation:

By exterior angle property of a triangle.

(7x - 16)°= (x + 8)° + (4x)°

(7x - 16)°= (x + 8 + 4x)°

(7x - 16)° = (5x + 8)°

7x - 16 = 5x + 8

7x - 5x = 8 + 16

2x = 24

x = 24/2

x = 12

Measure of exterior angle

= (7x - 16)°

=(7*12 - 16)°

= (84 - 16)°

Measure of exterior angle = 68°

Answer:

I dont understand how to sorry

Answer:

the answer is 77

Step-by-step explanation:

a= b+c/2

78+76/2 = 77

Answer:

The value of y becomes 1/3 of the original.

Step-by-step explanation:

y = 5/x

The value of x tripling is same as dividing both sides by 3.

y/3 = (5/x)/3

y/3 = 5/3x

1/3y = 5/3x

Let’s check.

Put x as 10 in the original equation.

5/(10)

1/2

Put x as 10 in the new equation.

5/3(10)

5/30

1/6

1/6 is one-third of 1/2.

1/2 × 1/3 = 1/6

The formula for the number of bacteria at time t is given by N = 10,000e^(0.0173t).

The formula for the number of bacteria at time t can be found using the exponential growth formula. The formula for exponential growth is given by;N = N0ertWhere;N is the number of bacteria after t minutes.N0 is the initial number of bacteria.r is the growth rate.t is the time interval.

To find the formula for the number of bacteria at time t, substitute the given values into the exponential growth formula.N0 = 10,000r = ln2/40 = 0.0173 (since the number of bacteria doubles every 40 minutes, the growth rate is equal to the natural log of 2 divided by 40.)t = t minutesN = 10,000e^(0.0173t)

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Answer:

Thanks

Step-by-step explanation:

n Quadrant I, both the x– and y-coordinates are positive; in Quadrant II, the x-coordinate is negative, but the y-coordinate is positive; in Quadrant III both are negative; and in Quadrant IV x is positive but y is negative

Answer:

quadrant 4

Step-by-step explanation:

quadrant 1 is positive x positive y

quadrant 2 is negative x  positive y

quadrant 3 is negative x negative y

quadrant 4 is positive x negative y  

Answer:

1) both lights will blink at the same time every 20 seconds

2)Both lights will blink at the same time every 36 seconds

3) How to determine when 2 lights will blink together is that you must find the least common factor (LCM) of both numbers and when both hit the same number then that is when both lights blink at the same time.

Step-by-step explanation:

For example for number 1 we have 4 and 5 seconds when the lights blink

4: 4, 8, 12, 16, 20...

5: 5, 10, 15, 20...

we see that the LCM factor is 20 and that is when both lights will hit at the same time.

The root of the graph of function f(x) = (x-5)³(x+2)² touch the x-axis at -2 and 5.

Given that,

The function is f(x)= (x-5)³(x+2)²

We have to find at which root does the graph function touch the x-axis.

We know that,

Mathematical calculus' core component is functions. The unique forms of relationships are the functions. When it comes to arithmetic, a function is represented as a rule that produces a different result for each input x.

Take the function

f(x) = (x-5)³(x+2)²

f(x) = 0 if a curve touches the x-axis.

⇒ (x - 5)³(x + 2)² = 0.

But if ab = 0

So, a=0 and b=0

⇒ (x - 5)³ = 0 and (x + 2)² = 0

⇒ (x - 5) = 0 and x + 2 = 0

⇒ x=5 and x=-2.

Therefore, The root of the graph of function f(x) = (x-5)³(x+2)² touch the x-axis at -2 and 5.

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To start, let's sketch the graph of the curve y = x from x = 0 to x = 20. This is simply a diagonal line that passes through the points (0,0) and (20,20), as shown below:

```
   |
20  |    *
   |   *  
   |  *  
   | *    
   |*    
0  --------------
  0   10   20
```

Now, we want to revolve this curve around the x-axis to create a solid shape. Specifically, we want to create a paraboloid, which is a three-dimensional shape that looks like an upside-down bowl.

To find the volume of this paraboloid, we need to use calculus. The basic idea is to slice the solid into very thin disks, and then add up the volumes of all the disks to get the total volume.

To do this, we'll use the formula for the volume of a cylinder, which is:

V = πr^2h

where r is the radius of the cylinder and h is its height. In our case, each disk is a cylinder with radius r and height h, where:

- r is equal to the y-value of the curve (i.e. r = y = x), since the disk extends from the x-axis to the curve.
- h is the thickness of the disk, which is a very small change in x. We can call this dx.

So, the volume of each disk is:

dV = πr^2dx
  = πx^2dx

To find the total volume of the paraboloid, we need to add up the volumes of all the disks. This is done using an integral:

V = ∫(from x=0 to x=20) dV
 = ∫(from x=0 to x=20) πx^2dx

Evaluating this integral gives us:

V = π/3 * 20^3
 = 8000π/3

So the exact volume of the paraboloid is 8000π/3.

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The correct answer is Equality holds in the Schwarz inequality if and only if the vectors u and v are linearly dependent.

The Schwarz inequality states that for any two vectors u and v in an inner product space, the following inequality holds:

|⟨u, v⟩| ≤ ||u|| ||v||,

where ⟨u, v⟩ represents the inner product of u and v, ||u|| is the norm (length) of vector u, and ||v|| is the norm of vector v.

Equality holds in the Schwarz inequality if and only if the two vectors u and v are linearly dependent, meaning one vector is a scalar multiple of the other. In other words, if there exists a scalar k such that u = kv or v = ku, where k is a nonzero scalar.

To prove this:

Suppose u and v are linearly dependent, i.e., u = kv for some nonzero scalar k.

Take the inner product of u and v:

⟨u, v⟩ = ⟨kv, v⟩

Apply linearity of the inner product:

⟨u, v⟩ = k⟨v, v⟩

Take the norms on both sides:

|⟨u, v⟩| = |k⟨v, v⟩|

Since k is nonzero, we can cancel it out:

|⟨u, v⟩| = |k| |⟨v, v⟩|

Notice that |k| is the absolute value of the scalar k, and ⟨v, v⟩ is the inner product of v with itself, which is a nonnegative value. So, we have:

|⟨u, v⟩| = |k| |⟨v, v⟩| = k \(||v||^2\)

Since k is nonzero, the inequality becomes an equality:

|⟨u, v⟩| = k ||v||^2 = ||u|| ||v||

This shows that equality holds in the Schwarz inequality when u and v are linearly dependent.

Conversely, if equality holds in the Schwarz inequality, then we can reverse the steps above to show that u and v must be linearly dependent. Therefore, linear dependence is the necessary and sufficient condition for equality in the Schwarz inequality.

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For the given set -2≤ x ≤ 2 , x is given as integer, the solution for the given expression -2(x-5)< 10 is equal to x = 1 and x =2.

As given in the question,

Given set is equal to :

-2≤ x ≤ 2

where x belongs to integer

For the given expression -2(x-5) < 10 the solution set is equal to :

-2(x-5) < 10

Divide by -2 both the side we have,

( x -5 ) > 10 /-2

⇒ (x-5) >-5

Add 5 both the side we get,

x-5 +5 > -5 +5

⇒ x > 0

Value of x is less than or equal to 2.

x = 1 and x =2

Therefore, for the given set  -2≤ x ≤ 2 , x is given as integer, the solution for the given expression -2(x-5)< 10 is equal to x = 1 and x =2.

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Answer:

40

Step-by-step explanation:

1. Find the number of bars in one box.

If there are 24 in 3 boxes, then that means there are 8 per box because 24 ÷ 3=8.

2. Multiply the number per box by the number of boxes there are.

8 × 5 = 40

Answer:

45

Step-by-step explanation:

if 3 boxes equal 24, you can divide 24 by 3 to get how much one box is. so one box equals 8. therefore, you can get the number of bars by multiplying 8x5 which equals 45

The answer is OC. Minimum: -12.48; maximum: 64.48.

The minimum usual value - 20 and the maximum usual value y + 20 for the given values of n and p, n = 100; p = 0.26 are found below.

Minimum usual value = np - z * sqrt(np(1 - p)) = 100 × 0.26 - 1.645 × sqrt(100 × 0.26 × (1 - 0.26))= 26 - 1.645 × sqrt(100 × 0.26 × 0.74) = 26 - 1.645 × sqrt(19.1808) = 26 - 1.645 × 4.3810 = 26 - 7.2101 = 18.79 ≈ 18.80

Maximum usual value = np + z * sqrt(np(1 - p)) = 100 × 0.26 + 1.645 × sqrt(100 × 0.26 × (1 - 0.26))= 26 + 1.645 × sqrt(100 × 0.26 × 0.74) = 26 + 1.645 × sqrt(19.1808) = 26 + 7.2101 = 33.21 ≈ 33.22

Therefore, the minimum usual value - 20 is 18.80 - 20 = -1.20.The maximum usual value y + 20 is 33.22 + 20 = 53.22.

Hence, the answer is OC. Minimum: -12.48; maximum: 64.48.

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If each outcome in the sample space is equally likely, the probability that all three new employees will be a good fit is 1/8.

In this scenario, each new employee can either be a good fit (g) or a bad fit (b). Since each outcome is equally likely, we can determine the probability of all three employees being a good fit by considering the total number of equally likely outcomes.

For each employee, there are two possible outcomes (good fit or bad fit). Therefore, the total number of equally likely outcomes for three employees is 2 * 2 * 2 = 8.

Out of these 8 outcomes, we are interested in the specific outcome where all three employees are a good fit (g, g, g). There is only one such outcome.

Hence, the probability of all three new employees being a good fit is 1 out of 8 possible outcomes, which can be expressed as 1/8.

Therefore, if each outcome in the sample space is equally likely, the probability that all of the new employees will be a good fit is 1/8.

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Let's solve your inequality step-by-step.

5m<6m+6

Step 1: Subtract 6m from both sides.

5m−6m<6m+6−6m

−m<6

Step 2: Divide both sides by -1.

−m / −1 < 6 / −1

m>−6

Answer:

m>−6

Answer:

Step-by-step explanation:

She collected 2/6 gallon of orange juice from two trees and 2/3 from the last tree.  To add these two fractions, both must have common denominators.

Multiply both the numerator and denominator of 2/3 by 2.  This results in 4/6.

Now you have 4/6 + 2/6 which equals 8/6.  This can be converted to 1 and 2/6, further simplified to 1 and 1/3.  Therefore, Sue collected a total of 1 and 1/3 gallons of orange juice.

Answer:

D.

Step-by-step explanation:

329/8=41.125 you divide by 8 because its equivalent to 8 smaller units.

Then: 41.125 x 724=approx. 30,000

The probability that the sum of the numbers on the dice facing up add up to 3 is 1/18.

Probability is defined as the likeliness of an event to occur. The probability of any event to occur ranges from 0 to 1, and the sum of all the probabilities of all the events happening is 1.

probability = desired outcome / total outcomes

A 6-sided dice has numbers 1, 2, 3, 4, 5, 6 at each of the 6 sides.

The event of rolling two fair 6-sided dice, which the numbers on the dice facing up add up to 3, is by having (1, 2) or (2, 1).

probability = desired outcome / total outcomes

probability = 2 / (6 x 6)

probability = 2 / 36

probability = 1/18

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Answer:

One

Step-by-step explanation:

3x-5=-3 add 5 to each side.

3x-5+5=-3+5   simplify.

3x=2       divide each side by three.

3x/3=2/3     simplify

x=2/3

Answer:

Experimental study

Step-by-step explanation:

One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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Answer: b. 3.50

it is the answer and hope it helps you

For the first part, the number of license plates is: 65,780,800 and for the second part, the number of license plates with 3 consecutive digits is: 16,524,288.

If there are no restrictions on where the digits and letters are placed, the number of 8-place license plates consisting of 5 letters and 3 digits with no repetitions allowed can be found using the permutation formula:

nPr = n! / (n-r)!

where n is the number of available characters (26 letters and 10 digits) and r is the number of characters needed for the license plate (8).

Therefore, the number of license plates is:

(26 P 5) x (10 P 3) = (26!/21!) x (10!/7!) = 65,780,800

If the 3 digits must be consecutive, there are 8 possible positions for the block of digits (either the first 3, second 3, or last 3). Once the position of the block is chosen, the number of license plates can be found by counting the number of ways to arrange the letters and the block of digits. The number of ways to arrange the letters is 26 P 5, and the number of ways to arrange the block of digits is 10 (since there are only 10 possible sets of consecutive digits).

Therefore, the number of license plates with 3 consecutive digits is:

8 x (26 P 5) x 10 = 16,524,288

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The complete question goes thus:

If there are no restrictions on where the digits and letters are placed, how many 8

-place license plates consisting of 5

letters and 3

digits are possible if no repetitions of letters or digits are allowed? What if the 3

digits must be consecutive?

Answer:

79

Step-by-step explanation:14+11+2(12) = 24 + 14 + 11 = 79

Answer:

49

Step-by-step explanation:

14+11+2(12)

14+11+24

25+24

49

Using the Hypothesis testing and statistic Z- test we , find that the bag sample is not underfilled at a significance level of 0.025 i.e., 25% .

In the given question, we shall check the bag is underfilled at given level or not .

We can use the hypothesis testing, The Null and Alternative hypothesis are given as below :

H₀ : u = 411 : the bags are not underfilled

Hₜ : u < 411 : the bags are underfilled

Check it now using statistic Z-test and the test Statistic formula is given by

= ( M – u ) / S.D / √n , where M = mean of sample and S.D = standard deviations n is the number of bags used .

From given data we get, n= 19 ; M = 437 ; S.D = √ variance = √ 441 = 21

Including all of the above variables in formula

Z = (437-411)/21/√19

= 26/21/√19

= 5.395

This is right -tail test in statistic Z -test

P- value = 1 – 0.9999 = 0.111 ( by using Z-table or P-value for Z in Excel )

The sufficient evidence level is 0.025 i.e., alpha (α) = 0.025

P- value >α , this implies that Null hypothesis is not Rejected .

There is sufficient evidence to suggest that bag is not underfilled.

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Answer:

1 row = 205plants

9*205=1845plants

Therfore 1845 plants are there in 9 rows of tomato.

Step-by-step explanation:

Please mark as brainliest.

Answer:

I say the answer is going to be C

Step-by-step explanation: