worked a total of
44 h in 2 wk. During the first week,
she worked 8h more than the second
week. How many hours did Rosa
work in each of the 2 wks

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

To determine the change in angular momentum (ΔL) of a cylinder from t = 0 to t = t0, a student can use the equation:

ΔL = I * Δω

where ΔL is the change in angular momentum, I is the moment of inertia of the cylinder, and Δω is the change in angular velocity.

To calculate Δω, the student needs to know the initial and final angular velocities, ω0 and ωt0, respectively. The change in angular velocity can be calculated as:

Δω = ωt0 - ω0

Once Δω is determined, the student can use the moment of inertia (I) of the cylinder to calculate ΔL using the equation mentioned earlier.

The moment of inertia (I) depends on the mass distribution and shape of the cylinder. For a solid cylinder rotating about its central axis, the moment of inertia is given by:

I = (1/2) * m * r^2

where m is the mass of the cylinder and r is the radius of the cylinder.

By substituting the known values for Δω and I into the equation ΔL = I * Δω, the student can calculate the change in angular momentum (ΔL) of the cylinder from t = 0 to t = t0.

It's important to note that this method assumes that no external torques act on the cylinder during the time interval. If there are external torques involved, the equation for ΔL would need to include those torques as well.

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Well ain't it obvious?  If x is -5 then y is -2. Look at the graph.

Got to mention the spaces between the even numbers are odd numbers.

Answer:

1. x=24 2. x=30

Step-by-step explanation:

1. 1/2x+16=28

1/2x=12

x=24

2. 2/3x-14=6

2/3x=20

x=30

Answer: 9.42477796077 square yards

Step-by-step explanation:

Cone Surface Area Calculation

surface area of cone slant height is 2 radius is 1

To find the surface area of a cone, we need to know the radius and slant height of the cone.

In this case, we are given that the radius (r) is 1, and the slant height (l) is 2. We can use the Pythagorean theorem to find the height (h) of the cone:

l^2 = r^2 + h^2

2^2 = 1^2 + h^2

4 = 1 + h^2

h^2 = 3

h = sqrt(3)

Now we can use the formula for the surface area of a cone:

A = πr^2 + πrl

Substituting the values we know:

A = π(1)^2 + π(1)(2)

A = π + 2π

A = 3π

So the surface area of the cone is 3π

3 times Pi = 9.42477796077

ChatGPT

.

Answer:

7.5 pounds

Step-by-step explanation:

multiply by 3.

3x+3y=30

2x+3y=22.5.

x=7.5.

7.5+2.5=10.

7.5 pounds of walnuts, 2.5 pounds of raisins.

Hope this helps :D

The value of the variable a is 13.

We have,

In geometry,

A secant is a line that intersects a circle in two distinct points.

The secant line extends beyond the circle, intersecting it at two points, creating two chord segments within the circle.

From the figure,

When two secants are in a circle we have the definition:

(vw + wx) wx = (zy + yx) yx

Now,

Substituting the values.

(vw + wx) wx = (zy + yx) yx

(13 + 7) x 7 = (a + 7) x 7

20 x 7 = (a + 7) x 7

140/7 = a + 7

20 = a + 7

a = 20 - 7

a = 13

Thus,

The value of the variable a is 13.

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Answer:

1, 3, 5, 7 and 19

Step-by-step explanation:

to find the first 4 terms, substitute n = 1, 2, 3, 4 into the rule, then

a₁ = 2(1) - 1 = 2 - 1 = 1

a₂ = 2(2) - 1 - 4 - 1 = 3

a₃ = 2(3) - 1 = 6 - 1 = 5

a₄ = 2(4) - 1 = 8 - 1 = 7

the first 4 terms are 1, 3, 5, 7

to find the 10th term , substitute n = 10 into the rule

a₁₀ = 2(20) - 1 = 20 - 1 = 19

Given:

AB=DC

AB PARALLEL DC

Prove:

ABC CONGRUNENT CDA

Step-by-step explanation:

Since

AB=DC

AB PARALLEL DC

So, ABCD is a parallelogram

and we know diagonal divide it into two congruent triangle

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The greatest common factor (divisor) is found in the GCD column of the attached spreadsheet. The GCD is calculated using the spreadsheet function. The least common multiple (LCM) is the product of the numbers, divided by their GCD.

Other multiples shown are 2 times, 3 times, and 4 times the least common multiple.

The statement is True. To construct a confidence interval about the mean, the population from which the sample size is drawn must be approximately normal.

This assumption is necessary to ensure that the sampling distribution of the sample mean is also approximately normal, which is a key assumption underlying many statistical tests and confidence interval constructions.

However, suppose the sample size is large enough (usually at least 30). In that case, the central limit theorem may allow for constructing a confidence interval about the mean even if the population is not normal.

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Below is the answer

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Still 5 seconds.

(Assuming the Earth around that building is flat.

The F-ratio is closest to option (d) 1.

If the researcher concludes that there are no systematic treatment effects in an ANOVA study, it implies that the F-ratio, which measures the variability between groups relative to the variability within groups, is close to 1.

The F-ratio compares the mean square between groups (MSB) to the mean square within groups (MSW). If the treatment effects are not significant and the variability between groups is similar to the variability within groups, then the F-ratio will be close to 1.

Therefore, the F-ratio is closest to option (d) 1.

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Developing strategies for remembering facts is essential for children before they engage in drill and practice activities to develop fluency. By establishing these strategies, children can effectively learn, retain, and recall information, ultimately enhancing their performance during practice sessions.

Yes, it is important for children to develop strategies for remembering facts before engaging in drills and practice to develop fluency. By doing so, children can enhance their ability to recall information more quickly and accurately, making it easier for them to perform well on tests and assignments. Strategies such as visualizing, chunking, and using mnemonic devices can help children remember information more effectively. Once these strategies are established, drill and practice can then be used to further reinforce their understanding and speed up their recall time. This approach can ultimately lead to improved academic performance and a stronger foundation for learning.

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The main goal of data democratization is to make data accessible to all users. Option (a) is correct.

Given the primary goal of data democratization.

Data democratization is the ability to make information in a digital format accessible to the average end user. The goal of data democratization is to allow non-professionals to collect and analyze data without the need for outside help. This requires us to support access with an easy way for people to understand data, so they can use it to accelerate decision-making and uncover opportunities for a business. The goal is for everyone to be able to use the data at any time to make decisions without barriers of access or understanding.

Therefore, the main goal of data democratization is to make data accessible to all users.

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Answer

The daughter is 30 years old

Step-by-step explanation:

3/5 times 50 equals 30

HOPE THIS HELPS :)

The illegal radio station from monitoring stations A and B is 33.49 miles and 27.03 miles respectively.      

As the graph triangle shows

∠CAB = 90° - 48° = 42°

∠CBA = 90° - 34° = 56°

So ∠ACB = 180° - ∠CAB - ∠CBA

               = 180° - 42° - 56°

               = 82°

AC/ sin ∠CBA = BC/ sin ∠CAB = AB/ sin ∠ACB

         AC = AB sin  ∠CBA / sin ∠ACB

              = 40 × sin 56°/ sin 82°

               = 33.49 miles

A mile is defined as the unit of length, which is exactly equal to 5280 feet, or 1760 yards, and standardized as exactly 1609.344 meters by the International agreement in 1959.

        BC = AB sin ∠CAB /sin ∠ACB

              = 40 × sin 42°/ sin 82°

              = 27.03 miles  

The illegal radio station from monitoring stations A and B is 33.49 miles and 27.03 miles respectively.

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Answer: 964

Step-by-step explanation:

216/9 = 24

24/6= 4

6+4+9=19

greatest number=  964

 Therefore, Biren and Cemal get $(640 - $160) = $480. Let us find the share of Biren and Cemal in the ratio 15:9. Total ratio is 24. Share of Biren = (15/24) × $480 = $300  Share of Cemal = (9/24) × $480 = $180.

Therefore, Biren and Cemal receive $300 and $180 respectively.c) Aasha has $160 and she wants to buy books which costs $15. Therefore, she can buy a maximum of $160/$15 = 10.6 books.

Since she cannot buy a part of the book, she can buy a maximum of 10 books.d) Biren's share = 15/32 × 640 = $300Amount spent on clothes = 3/8 × $300 = $112.5

Amount spent on a computer = 1/3 × $300 = $100Left fraction = 1 - (3/8 + 1/3) = 1 - (9 + 8)/24= 1 - (17/24) = 7/24Therefore, Biren has 7/24 fraction of his share left. Answer:

So, the answer is:a) Aasha receives $160b) Biren and Cemal get $300 and $180 respectively.

c Aasha can buy a maximum of 10 books.d) Biren has 7/24 fraction of his share left.

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It is claimed that the sample of participants is generalizable since it reflects the characteristics of the population.

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The required answer is the annual cost saved by shifting from the 500-bag lot size to the EOQ is $1,059.92.

Explanation:-

a. Economic order quantity (EOQ) is defined as the optimal quantity of inventory to be ordered each time to reduce the total annual inventory costs.

It is calculated as follows: EOQ = sqrt(2DS/H)

Where, D = Annual demand = 100 x 52 = 5200S = Order cost = $57 per order H = Annual holding cost = 0.30 x 10.75 = $3.23 per bag per year .Therefore, EOQ = sqrt(2 x 5200 x 57 / 3.23) = 234 bags. The average time between orders (TBO) can be calculated using the formula: TBO = EOQ / D = 234 / 100 = 2.34 weeks ≈ 2 weeks (rounded to nearest whole number).

Hence, the EOQ is 234 bags and the average time between orders is 2 weeks (approx).b. R is the reorder point, which is the inventory level at which an order should be placed to avoid a stockout.

It can be calculated using the formula:R = dL + zσL

Where,d = Demand per day = 100 / 5 = 20L = Lead time = 1 week (5 working days) = 5 day

z = z-value for 92% cycle-service level = 1.75 (from standard normal table)σL = Standard deviation of lead time demand = σ / sqrt(L) = 16 / sqrt(5) = 7.14 (approx)

Therefore,R = 20 x 5 + 1.75 x 7.14 = 119.2 ≈ 120 bags

Hence, the reorder point R should be 120 bags.c. An inventory withdraw of 10 bags was just made. Is it time to reorder?The current inventory level is 310 bags, which is greater than the reorder point of 120 bags. Since there are no open orders or backorders, it is not time to reorder.d. The store currently uses a lot size of 500 bags (i.e., Q = 500).What is the annual holding cost of this policy.

Annual ordering cost. Without calculating the EOQ, how can you conclude the lot size is too large?Annual ordering cost = (D / Q) x S = (5200 / 500) x 57 = $592.80 per year.

Annual holding cost = Q / 2 x H = 500 / 2 x 0.30 x 10.75 = $806.25 per year. Total annual inventory cost = Annual ordering cost + Annual holding cost= $592.80 + $806.25 = $1,399.05Without calculating the EOQ, we can conclude that the lot size is too large if the annual holding cost exceeds the annual ordering cost.

In this case, the annual holding cost of $806.25 is greater than the annual ordering cost of $592.80, indicating that the lot size of 500 bags is too large.e.

The annual cost saved by shifting from the 500-bag lot size to the EOQ can be calculated as follows:Total cost at Q = 500 bags = $1,399.05Total cost at Q = EOQ = Annual ordering cost + Annual holding cost= (D / EOQ) x S + EOQ / 2 x H= (5200 / 234) x 57 + 234 / 2 x 0.30 x 10.75= $245.45 + $93.68= $339.13

Annual cost saved = Total cost at Q = 500 bags - Total cost at Q = EOQ= $1,399.05 - $339.13= $1,059.92

Hence, the annual cost saved by shifting from the 500-bag lot size to the EOQ is $1,059.92.

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So, on solving the provided question, we can say that the probability will be P( -1.26 <Z<2.53) => P( Z < 2.53)

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

the probability will be

mean = 10,000

standard deviation = 500

for point a -

n = 40

u = 10,000

P( 9,900 < x < 10,200)

P( -1.26 <Z<2.53)

P( Z < 2.53)

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Answer:

a. K3080

Step-by-step explanation:

K2000×10/100=K200

K80×36months=2880

K2880+K200=K3080

Answer and Step-by-step explanation: x represent the number of $5 bills and y, the number of $10 bill and, in total there are 32 bills, so

x + y = 32

In terms of value, there is a total of $220. The equation for it is

5x + 10y = 220

The 2 equations which best represent the scenario are

x + y = 32 (I)

5x + 10y = 220 (II)

To know how many bills there are, we have to solve the system. There are many way to solve it and one of them is

1) Multiply (I) by -5:

-5x - 5y = -160 (III)

2) Add equation (III) to equation (II):

-5x - 5y = -160

5x + 10y = 220

0x + 5y = 60 (IV)

3) Solve equation (IV)

5y = 60

y = 12

4) Replace value of y in equation (I) and find value of x:

x + 12 = 32

x = 20

In the proposed scenario, Shondra had 20 $5 bills and 12 $10 bills.

Answer: x=20 and y=12

Step-by-step explanation:

Since the outputs of -5 and 1, and -1 and 7, are not equal, we can conclude that f is injective.

In mathematics, a function is a rule that assigns a unique output value to each input value in a given set. The input values are also known as the domain of the function, while the output values are known as the range. A function can be thought of as a machine that takes an input and produces an output. For example, a simple function could be doubling a number. In this case, the input is the number to be doubled, and the output is the result of doubling that number.

Here,

To determine if a function is injective, we need to check whether different inputs produce different outputs. In other words, if for any two distinct inputs x and y, f(x) is not equal to f(y), then the function is injective.

Let's examine the table of values for the function f:

× -5 -3 -1 0 3 5

f(×) 1 3 7 3 2 4

We can see that f(-5) = 1, f(-3) = 3, f(-1) = 7, f(0) = 3, f(3) = 2, and f(5) = 4.

Since the outputs of -5 and 1, and -1 and 7, are not equal, we can conclude that f is injective. Therefore, for this function, no two distinct inputs produce the same output.

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Complete question:

A function f is expressed through a table of values. Determine if f is injective:

× -5 -3 -1 0 3 5

f(×) 1 3 7 3 2 4

Answer: no.

Step-by-step explanation: 3/5 is not equivalent to 4/7

Hence, these two batches does not  have the same shade of pink.

What are the expressions?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Here given that,

If you mix red and white paint in different ratios, you will get different shades of pink

paint. If the ratios are equivalent, the shades of pink will be the same,

• Mai mixed a batch of pink paint using 5 cups of red paint and 3 cups of white paint.

• Priya mixed another batch of pink paint using 7 cups of red paint and 4 cups of white paint

As per this information these two batches does not have the same colour of pink.

Hence, these two batches does not  have the same shade of pink.

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The probability that a randomly selected can in the box is dented or contains vegetables is 19/20.

To solve the problem, we need to use the formula for the probability of the union of two events:

P(A or B) = P(A) + P(B) - P(A and B)

where A and B are two events.

In this case, we want to find the probability that a randomly selected can is dented or contains vegetables. Let's call these events D and V, respectively.

We are given that there are 20 cans in total, 12 of which contain vegetables, and 5 of which are dented, with 2 of the dented cans containing vegetables. This information allows us to calculate the probabilities of the individual events

P(D) = 5/20 = 1/4

P(V) = 12/20 = 3/5

P(D and V) = 2/20 = 1/10

To find the probability of the union of these events, we plug these values into the formula

P(D or V) = P(D) + P(V) - P(D and V)

= 1/4 + 3/5 - 1/10

= 19/20

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