A box has 70 cookies . 10% are broken (a) What fraction is broken ?
(b) What fraction remained whole?​

Answer:

5

Step-by-step explanation:

5-(3 x 3)

Answer:5- (3×3)

Step-by-step explanation:3×3= 9 so it's 5-9=-4

The ball is in the air for approximately 2.8 + √7 seconds, which rounds to 5.2 seconds when rounded to one decimal place.To write the equation in vertex form, we need to complete the square.

The given equation is h = -4.9t² + 27.44t + 0.584. We can rewrite it as:

h = -4.9(t² - 5.6t) + 0.584

Now, we want to complete the square inside the parentheses. To do this, we need to add and subtract the square of half the coefficient of t. In this case, the coefficient is -5.6, so we have:

h = -4.9(t² - 5.6t + (5.6/2)² - (5.6/2)²) + 0.584

Simplifying, we get:

h = -4.9((t - 2.8)² - 2.8²) + 0.584

Expanding further:

h = -4.9(t - 2.8)² + 4.9(2.8)² + 0.584

Thus, the equation in vertex form is: h = -4.9(t - 2.8)² + 34.328

b) The ball's height when it was hit can be found by evaluating the equation at t = 0:

h = -4.9(0 - 2.8)² + 34.328

h = -4.9(-2.8)² + 4.328

h = -4.9(7.84) + 34.328

h ≈ 0.784 meters

To find the time at which the ball reaches its maximum height, we can use the fact that the maximum height occurs at the vertex of the parabolic equation. The vertex of a parabola in the form h = a(t - h₀)² + k is given by (h₀, k). Comparing this to our equation, we can see that the vertex occurs at t = 2.8 and h = 34.328. Therefore, the ball reaches its maximum height at 2.8 seconds, and the maximum height is 34.328 meters.

The total time the ball is in the air can be determined by finding the time it takes for the ball to reach the ground. When the ball hits the ground, its height is 0. To find this time, we can set the equation equal to 0 and solve for t:

0 = -4.9(t - 2.8)² + 34.328

4.9(t - 2.8)² = 34.328

(t - 2.8)² ≈ 7

t - 2.8 ≈ ±√7

t ≈ 2.8 ± √7

Since time cannot be negative in this context, we can ignore the negative value.

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Answer:

The answer is 16 because

Step-by-step explanation:

3(6 - 8)² + 8÷2 = 3(-2)² + 8÷2

        = 3 * 4 + 8÷2

        = 3 * 4 + 4

        = 12 + 4

        = 16

Answer:

$34.50

Step-by-step explanation:

First find out how much 1lb of chopped walnuts costs.

so you multiply by 4/3
so 1 lb costs $4.60
so get the price of 7.5 lbs you need to multiply the price of one lb with 7.5
so 7.5 * $4.60 = $34.50

Answer:

3/10ths is bigger

Step-by-step explanation:

Answer: Area = l × w

= 3.5 × 2.8

= 9.8 meters2

Step-by-step explanation:

Therefore, the degree of the given monomial is 11.

In algebra, a monomial is an expression consisting of a single term. A term can be a constant, a variable, or the product of a constant and one or more variables. In other words, a monomial is a polynomial with only one term.  The degree of a monomial is the sum of the exponents of its variables.

Here,

The degree of a monomial is the sum of the exponents of its variables.

For the monomial -3q⁴rs⁶, the degree would be:

4 + 1 + 6 = 11

Therefore, the degree of the monomial -3q⁴rs⁶ is 11.

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Step-by-step explanation:

To convert millimeters to centimeters we divide

As, 10 millimeters = 1 centimeter

So 1 centimeter = 1/10 millimeter

So here of we have 6 millimeters, so centimeters = 6/10 = 0.6cm

So the diameter of each bead in the necklace = 0.6cm

The diameter of bead in a necklaces is 0.6 centimeters.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

Given that, April is making necklaces using beads that are 6 millimeters in diameter.

We know that, both millimeters and centimeters is the unit to measure the length. One millimeter is equal to 0.1 centimeters and 1 cm is equal to 10 mm.

Here, 6 millimeters

= 6×0.1

= 0.6 centimeters

Therefore, the diameter of a bead is 0.6 centimeters.

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Answer:

BC

Step-by-step explanation:

BECAUSE BC IT'S EQUAL TO EF

Answer:

B. BC

Step-by-step explanation:

By SSS rule in ∆ ABC and DEF,

Answer:

<1=62

<2=83

<3=35 this is the answer of this question

The meer-kitty survey feedback tab has limitations in its data. The survey results must have at least 120 unique responses to be considered useful and aligned with the business objective. The current data, however, only has 40 total responses, with 11 of them coming from one user. This skews the results and makes it difficult to accurately analyze the feedback.

To address these limitations, it is recommended to remove the duplicates, in this case the 11 responses from one user, and focus on the remaining 29 unique responses. This will provide a clearer picture of the survey results and a more accurate representation of the feedback. By doing so, the analysis of the data will be better aligned with the original business objective and provide more valuable insights.

It is important to consider the limitations of the data when conducting any type of analysis, especially when it comes to surveys and feedback. By taking the necessary steps to ensure the data is as accurate and reliable as possible, the results of the analysis will be more meaningful and relevant to the business.

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Answer:

important thing this is 1245386536789854

we can see that Rule 2 has a higher probability of accepting a shipment containing 20% defectives. Therefore, Rule 2 has a smaller probability of accepting a shipment containing 20% defectives.

To compare the probabilities of acceptance of a shipment containing 20% defectives for the two rules, we can calculate the probabilities for both rules and compare the results.

For Rule 1, the probability of accepting a shipment containing 20% defectives is given by the probability of having 0 defectives in a sample of 10 components. This can be calculated as

P(Accept | 20% defectives) = (0.8)¹⁰

= 0.107374

For Rule 2, the probability of accepting a shipment containing 20% defectives is given by the probability of having 0 or 1 defectives in a sample of 20 components. This can be calculated as:

P(Accept | 20% defectives) = (0.8)²⁰ + ²⁰C₁ * (0.8)¹⁹ * (0.2)

= 0.276

Comparing the two probabilities, we can see that Rule 2 has a higher probability of accepting a shipment containing 20% defectives. Therefore, Rule 2 has a smaller probability of accepting a shipment containing 20% defectives.

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Answer: The filled out table is shown below in the attached image

===========================================================

Explanation:

The letters A through J are one way to fill out the table. Though there are other possible orders.

Start at letter A, which is from the fact we have 40 people total

Then move to letter B. This is the total number who like pasta (26)

We have C = A-B = 40-26 = 14 people who don't like pasta

--------------

Now move to cell D. This is the total who don't like netball, which is 21 people. There are E = A-D = 40-21 = 19 people who do like netball.

F = 4 is the number of people who don't like either thing (netball or pasta). So G = D-F = 21-4 = 17 people like pasta but don't like netball.

Of those people who like netball (E = 19), we have 9 who also like pasta. This is in cell H in the upper left corner. This means J = E-H = 19-9 = 10 people like netball but don't like pasta.

----------------

So we have these values

So we have to find how much time those 4 appointments will take. Since the duration of each appointment is given in fractions it's important to remember a properties of fractions:

It is also important to remember the relation between the mix number notation and the usual fraction number notation:

With all of this in mind we can start working on the question. The four appointments consist of two 3/4 hr new patient visits, one 1 1/4 hr serious injury visit and one 3/4 hr dental sealing. The time it will take Roy to finish all of them (t) is equal to the sum of their individual times:

Using what we saw about mix number notation and fractions we get:

Then we have:

So the answer is 7/2 hours.

The choices that are correct when determining the distance between −56 and 69 are |-56 - 69| and 125 units

The endpoints are given as

−56 and 69

The distance between the endpoints is calculated using

Distance = |Difference between  endpoints|

So, we have:

Distance = |-56 - 69|

Evaluate

Distance = 125

Hence, the choices that are correct when determining the distance between −56 and 69 are |-56 - 69| and 125 units

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Answer:

  see attached

Step-by-step explanation:

In general, you plot the solution to an inequality by placing a dot at the bound, then extending a line in the direction indicated by the inequality.

If the inequality symbol is < or >, the dot will be an open circle.

If the inequality symbol is ≤ or ≥, the dot will be a solid dot. That is the kind of dot needed here.

The boundary (dot) location for x ≥ -8 is at -8 on the number line. The inequality indicates that values of x greater than that are in the solution set, so the line will be shaded to the right of the dot.

The boundary (dot) location for x ≤ -2 is at -2 on the number line. The inequality indicates that values of x less than that are in the solution set, so the line will be shaded to the left of this dot.

Since the values of x must satisfy both inequalities (the conjunction is "and"), the solution set is where the lines overlap—between -8 and -2 on the number line.

_____

Additional comment

I find it useful to write inequalities with the "arrow" pointing to the left. Here, the inequalities would be written ...

  -8 ≤ x and x ≤ -2

Note that x is in the middle when the far left number is less than the far right number. (-8 < -2). That means, the inequality can be written as the compound ...

  -8 ≤ x ≤ -2

When the inequalities are written in this way, with arrow(s) pointing left, the location of the variable relative to the constant is the location of the shaded line relative to the dot representing the constant. Here, the appearance of ...

  -8 ≤ x ≤ -2

effectively shows you that the number line is shaded between solid dots at -8 and -2.

The average access time for a cache miss is decreased from 61 cycles to 116 cycles by using critical-word first and early restart, which is a considerable improvement.

Critical-word first and early restart are two approaches we can employ to enhance the L2 cache's performance.

The first word in the cache block is accessed first when using the critical-word first strategy to reduce latency. In our scenario, getting the first 8-byte word requires 100 cycles. So, to speed up access when a cache miss occurs, the critical word should be fetched first.

The number of blocks in the cache can be determined using the formula below, assuming a 1 MB L2 cache with 64-byte blocks:

1 MB = 1024 * 1024 bytes

Number of blocks = 1 MB / 64 bytes = 16384

The first 8 bytes from memory must be retrieved in 90 cycles, and each subsequent 8 bytes must be retrieved in 10 cycles. The duration needed to fetch the complete block therefore is:

Time to fetch block = 90 cycles + 7 * 10 cycles = 160 cycles

Now, With the critical-word first and early restart, let's compute the average access time for a cache miss with and without these features.

Without critical-word first and early restart:

The probability of referencing the first word in a block is 30%.

The probability of referencing the remaining words in a block is (1 - 0.3) / 7 = 0.1.

So, When a cache miss occurs without using critical-word first and an early restart, the average access time is:

Average access time = probability of referencing first word * time to fetch critical word + probability of referencing remaining words * time to fetch block

= 0.3 * 90 cycles + 0.1 * 160 cycles

= 45 cycles + 16 cycles

= 61 cycles

With critical-word first and early restart:

The essential word is retrieved first, which requires 100 cycles.

As soon as the required data is made available, we begin accessing it.

In the background, the remaining words in the block are fetched.

With critical-word first and an early restart, the average access time for a cache miss is as follows:

Average access time = time to fetch critical word + probability of referencing remaining words * time to fetch block

= 100 cycles + 0.1 * 160 cycles

= 100 cycles + 16 cycles

= 116 cycles

Therefore, The average access time for a cache miss is decreased from 61 cycles to 116 cycles by using critical-word first and early restart, which is a considerable improvement.

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Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.

To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.

4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.

To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8

Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8

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Answer:

45 and 63

36 and 54

18 and 63

Step-by-step explanation:

Answer:

128 = +

Step-by-step explanation:

56 + 72  = 128 (+)

Answer:

Option A

140° = 2.44 Rad

Step-by-step explanation:

Formula

Degree × π/180

140° × π/180 = 2.44 Rad

Thus, 140° = 2.44 Rad

-TheUnknownScientist

Therefore , the solution of the given problem of unitary method comes out to be Jill exercised every morning for 30 days as a result.

By applying what was acquired and bringing this variable tactic into practise, along with all supporting information from two people who used a particular tactic, the work can be finished. In other words, if the wanted expression result occurs, either the entity specified in the formula will also be discovered, or both crucial processes will actually ignore the colour. A refundable fee of Rupees ($1.01) may be necessary for forty pencils.

Here,

Let's designate the quantity of morning workout days Jill completed "x".

Jill exercised for a total of 2550 minutes, so her morning and afternoon workouts together accounted for the following amount of minutes:

25x + 1800

Additionally, we are aware that this sum equals 2550:

25x + 1800 = 2550

We can first identify the variable component on one side of the equation by deducting 1800 from both sides in order to find x:

25x = 2550 - 1800

25x = 750

Then, by multiplying both sides by 25, we can find the value of x:

=> x = 750/25

x = 30

Jill exercised every morning for 30 days as a result.

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Answer:

Chau served 63 orders.

Elsa served 16 orders.

Felipe served 21 orders.

Step-by-step explanation:

Given information:

Define the variables:

Create a system of equations from the given information and defined variables:

\(\begin{cases}e+c+f=100\\c=3f\\e=f-5\end{cases}\)

Substitute the second and third equations into the first equation and solve for f:

\(\implies e+c+f=100\)

\(\implies (f-5)+3f+f=100\)

\(\implies 5f-5=100\)

\(\implies 5f=105\)

\(\implies f=21\)

Substitute the found value of f into the second equation and solve for c:

\(\implies c=3f\)

\(\implies c=3(21)\)

\(\implies c=63\)

Substitute the found value of f into the third equation and solve for e:

\(\implies e=f-5\)

\(\implies e=21-5\)

\(\implies e=16\)

Therefore:

Let us assume that,

→ Elsa = x

→ Felipe = x + 5

→ Chau = 3x + 15

Now the required value of x,

→ x + x + 5 + 3x + 15 = 100

→ 5x + 20 = 100

→ 5x = 100 - 20

→ x = 80/5

→ [ x = 16 ]

Then the orders each serve is,

→ Elsa = x = 16

→ Felipe = x + 5 = 16 + 5 = 21

→ Chau = 3x + 15 = 48 + 15 = 63

Hence, the above one is correct.

Answer:

400 meters

Step-by-step explanation:

If it is a square, all four sides are equal.

So, 100+100+100+100= 400. Or 100 x 4= 400

In the given problem, the furniture company should produce 300 bar stools and 50 chairs to maximize their profit, and should not produce any tables.

To maximize profit, the furniture company needs to determine how many units of each product (bar stools, chairs, and tables) they should produce. Let's use x, y, and z to represent the number of bar stools, chairs, and tables respectively.

The objective function to maximize profit is:

Profit = 10x + 25y + 35z

The company has constraints on the amount of labor, wood, and stain available. These constraints can be expressed as follows:

Labor: 1x + 4y + 2z ≤ 700 (the company has 700 hours of labor available each week)

Wood: 8x + 16y + 32z ≤ 3360 (the company has 3360 feet of wood available each week)

Stain: 0.2x + 0.4y + 0.5z ≤ 60 (the company has 60 gallons of stain available each week)

Also, since we cannot produce negative units of any product, we must add the constraint that x, y, and z are all non-negative.

x ≥ 0, y ≥ 0, z ≥ 0

We can now use linear programming techniques to solve this problem. One possible method is the simplex method, which involves converting the problem into an augmented matrix and applying row operations until we obtain the optimal solution.

The optimal solution is:

x = 300 (produce 300 bar stools)

y = 50 (produce 50 chairs)

z = 0 (do not produce any tables)

The maximum profit that the company can earn is:

Profit = 10x + 25y + 35z = 10(300) + 25(50) + 35(0) = $3,250

Therefore, the furniture company should produce 300 bar stools and 50 chairs to maximize their profit, and should not produce any tables.

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Answer:

(X'U'Y) + (XUY')

Step-by-step explanation:

Starting with [Xn(X'nY)]', we can use De Morgan's laws to simplify the expression:

[Xn(X'nY)]' = (Xn)' + (X'nY)'

Recall that Xn represents the logical operator "and", while X' represents "not X". Using these definitions, we can expand the expression:

(Xn)' + (X'nY)' = (X'U'Y) + (XUY')

where U represents the logical operator "or".

Therefore, [Xn(X'nY)]' simplifies to (X'U'Y) + (XUY').