On Tuesday Jennifer bought 5 boxes. On Wednesday half of all the boxes were destroyed. On Thursday there were only 20 left? How many boxes did she half on Monday?

Answer:15

Step-by-step explanation: base * height= area/15

Answer:

a= 15

Step-by-step explanation:

A=wl=3·5=15

hope this helps

Answer:

SAS, because vertical angles are congruent.

The answer is three

None, one or infinitely many solutions

Thus, the magnitude of value of |a+b| is Sqrt (9), which simplifies to just 3.

To find the magnitude of the sum of two vectors, we need to add the two vectors together and then take the square root of the sum of their squares.

So, let's first add the two vectors together:

a+b = (3i+4j-4k) + (-2i-6j+2k)
    = i - 2j - 2k

Now, we can find the magnitude of this vector by squaring each of its components, summing them, and then taking the square root:

|a+b| = sqrt((1^2) + (-2^2) + (-2^2))
     = sqrt(1 + 4 + 4)
     = sqrt(9)
     = 3

Therefore, the value of |a+b| is Sqrt (9), which simplifies to just 3.

In summary, the magnitude of the sum of two vectors can be found by adding the vectors together, squaring each of their components, summing them, and then taking the square root.

For the given vectors a=3i+4j-4k and b=-2i-6j+2k, their sum is i - 2j - 2k, and the magnitude of this vector is 3.

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The equation of the circle, obtained by applying the completing the square method to the specified equation indicates that the center and radius of the circle are;

Center (0, 6) and radius 7.5

The general form of the equation of a circle is; (x - h)² + (y - k)² = r², where;

(h, k) = The coordinates of the center of the circle

r = The measure of the length of the radius

The possible equation obtained from a similar question on the internet can be presented as follows;

x² + y² - 12·y - 20.25 = 0

The above equation can be evaluated using the completing the square method and excluding the x² term as follows;

y² - 12·y - 20.25 = 0

y² - 12·y = 20.25

y² - 12·y + (-12/2)² = 20.25 + (-12/2)²

y² - 12·y + (-6)² = 20.25 + (-6)² = 56.25

(y - 6)² = 56.25

Therefore;

y - 6 = √(56.25) = ±7.5

The possible equation of the circle obtained by plugging in the x² term therefore is; (x - 0)² + (y - 6)² = 7.5²

The center of the circle is therefore;

(h, k) = (0, 6)

The radius of the circle, r = 7.5

The possible correction is therefore, option (a), where the 5 is a typing error

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Answer:

56

Step-by-step explanation:

56 would be the arc. reasoning is because line CG form an arch of 56 and Angle A and C also form a angle of 34

Answer:

Step-by-step explanation:

To determine what was her gas mileage, divide the total miles driven by the gallons of gas;

Answer:

Henry

Step-by-step explanation:

Henry is wrong before in the second step he didn't distribute properly. He multiply 5 · x but didn't multiply 5 · -2

The actual dimension of the distance is approximately 0.0046667 cm.

To compute the actual dimension of a distance given a drawing measurement and a scale, you can use the following formula:

Actual Dimension = Drawing Measurement × Scale Factor

In this case, the given drawing measurement is 28 cm, and the scale is 1:60 m.

To calculate the scale factor, we need to convert the scale to the same unit as the drawing measurement. Since the drawing measurement is in centimeters (cm), we need to convert the scale from meters (m) to centimeters (cm).

1 meter = 100 centimeters

So, the scale factor is:

Scale Factor = 1:60 m = 1 cm : 60 cm = 1 : 6000 cm

Now we can calculate the actual dimension:

Actual Dimension = Drawing Measurement × Scale Factor

Actual Dimension = 28 cm × 1/6000

Actual Dimension = 28/6000 cm

Simplifying the fraction, we get:

Actual Dimension ≈ 0.0046667 cm

Therefore, the actual dimension of the distance is approximately 0.0046667 cm.

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Answer:

C

Step-by-step explanation:

The coefficents are the numbers before the variables

Answer:

i wish i new srry

Step-by-step explanation:

Using the formula for compound interest we find that the annual rate of increase in the cost of firewood is approximately 7.8%.

We can use the formula for compound interest to calculate the annual rate of increase:

A = P(1 + r)^n

where A is the final price, P is the initial price, r is the annual rate of increase, and n is the number of years.

We know that P = $140, A = $182, and n = 4, so we can solve for r:

182 = 140(1 + r)^4

(1 + r)^4 = 1.3

1 + r = 1.3^(1/4)

r ≈ 0.0777

The annual rate of increase is approximately 0.0777 or 7.8% to the nearest tenth of a percent.

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The approximate diameter of the circular plate with circumference of 68.5 centimetre is 21.82 centimetres.

The circumference of a circle is the perimeter of a circle. Therefore, the formula of a circle can be represented as follows:

circumference = 2πr

where

Therefore,

circumference = 68.5 cm

68.5 = 2 × 3.14 × r

r = 68.5 / 6.28

r = 10.9076433121

radius = 10.907

Diameter = 2(radius)

Diameter  = 2 × 10.9076433121

Diameter = 21.8152866242

Diameter = 21.82 cm

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You'd first have to divide the first to, then add an divide your sume by the percent to get your answer.

Answer:

Step-by-step explanation:

Use formulaic methods. Since she has interest on her money, we have to include it:

i = log(x-4*7)^k

i is the interested amount, x is the variable we use, and k is the number of times. 7 is the interest

i = log(4000-4x7)^2 for 4000 at 7% interest over 2 years

i = log(4000-4x7)^10 for 4000 at 7% interest over 10 years

Amount after 2 years: $30,000

Amount after 10 years: $15,671

Answer:

10 cm is your answer right answer

The probability that three points chosen uniformly and independently on a circle fall on a semicircle is 1/2 or 50%.

The probability of three points chosen randomly and independently on a circle falling on a semicircle is 1/2, or 50%. This is because the probability of a point landing on either side of the semicircle is equal. The points are chosen on a circle, so each point has an equal probability of being on either side of the semicircle. Therefore, the probability of three points randomly chosen on a circle landing on a semicircle is 1/2 or 50%.

Let A, B, and C be the three points chosen on a circle.

The probability that A, B, and C fall on the semicircle is:

P(A on semicircle) x P(B on semicircle) x P(C on semicircle)

= (1/2) x (1/2) x (1/2)

= (1/2)^3

= 1/8

Therefore, the probability that three points chosen randomly and independently on a circle fall on a semicircle is 1/8 or 12.5%.

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The probability that three points chosen uniformly and independently on a circle fall on a semicircle is written as 1/8.

The term probability in math is defined as the chances of something materializing based upon the ratio of its number of outcomes to the number of outcomes of the whole sample space the event relies upon.

While we looking into the given question, here let us consider that A, B, and C be the three points chosen on a circle.

Then the probability that A, B, and C fall on the semicircle is calculated as,

=> P(A on semicircle) x P(B on semicircle) x P(C on semicircle)

Now, we have to apply the value of each probability, then we get

=> (1/2) x (1/2) x (1/2)

Therefore, the resulting value is

=> (1/2)³ = 1/8

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Answer: 58 = h-9

Step-by-step explanation:

The final answer is 82.33.

To arrive at the final answer of 82.33, the following steps were taken:

Step 1: The initial calculation or data gathering process involved various numerical values and computations. However, specific details regarding the question or problem were not provided in the initial prompt.

Step 2: The available information may have included numerical data, mathematical operations, or formulas that were used to arrive at an intermediate result.

Step 3: The intermediate result was further processed or manipulated using additional mathematical operations, leading to the final answer of 82.33. This answer is expressed with two decimal places, as specified in the question prompt.

It's important to note that without the specific context or details of the question, it is challenging to provide a more detailed explanation of the calculations leading to the final answer. The accuracy and correctness of the answer heavily depend on the information and data provided in the original question.

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The probability that both batteries last beyond 1 year is approximately 0.400.

a. To find the probability that an alkaline battery will fail before 180 days, we need to calculate the cumulative distribution function (CDF) of the exponential distribution.

The exponential distribution with rate parameter λ has the CDF given by F(x) = 1 - e^(-λx). In this case, λ = 1/365 and x = 180.

Substituting the values into the CDF formula:

F(180) = 1 - e^(-1/365 * 180)

Calculating the probability:

F(180) = 1 - e^(-180/365)

≈ 0.445

Therefore, the probability that an alkaline battery will fail before 180 days is approximately 0.445.

b. The probability that an alkaline battery will last beyond 1 year is equal to the complement of the probability that it fails before 1 year.

F(365) = 1 - e^(-1/365 * 365)

= 1 - e^(-1)

≈ 0.632

Therefore, the probability that an alkaline battery will last beyond 1 year is approximately 0.632.

c. If two batteries are used in a device, and each battery has a probability of lasting beyond 1 year of 0.632 (as calculated in part b),

P(both last beyond 1 year) = 0.632 * 0.632

≈ 0.400

Therefore, the probability that both batteries last beyond 1 year is approximately 0.400.

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9514 1404 393

Answer:

  D.  90

Step-by-step explanation:

The radius VG is the same as the radius VO. That radius is ...

  VG = VA +AG = 24 +27 = 51

Then the Pythagorean theorem tells you ...

  VO^2 = VA^2 +AO^2

  AO = √(VO^2 -VA^2)

  AO = √(51^2 -24^2) = √2025 = 45

The desired length is ...

  TO = 2·AO = 2·45

  TO = 90

Answer:

She bakes 160 cookies in all.

Step-by-step explanation:

We are given that Alyssa bakes cookies for the bake sale. 35% of the cookies are chocolate chip and 56 of the cookies are chocolate chip.

Let the total number of cookies baked by Alyssa be 'x'.

Number of chocolate chip = 56

So, according to the question;

35% of total cookies = 56

35% of x = 56

\(\frac{35}{100} \times x = 56\)

\(x=\frac{56\times 100}{35}\)

\(x= 8 \times 20\) = 160 cookies

Hence, Alyssa bakes 160 cookies for the bake sale.

Answer:

h = (p/0.7 - b) ÷ r

Step-by-step explanation:

Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b. What is an equivalent equation solved for h?

Given:

p = 0.7(rh + b)

Divide both sides by 0.7

p / 0.7 = rh + b

p/0.7 - b = rh

p/0.7 - b ÷ r = h

h = (p/0.7 - b) ÷ r

The number of motorbikes is 5

The given parameters are:

Motorbike = $945.50

Johnson = $5000.

The number of motorbikes is calculated as:

n = Johnson/Motorbike

So, we have:

n = 5000/945.5

Evaluate

n = 5.29

Remove the decimal

n = 5

Hence, the number of motorbikes is 5

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The total height of the flagpole on the basis on the information given that Jose is standing at a distance of 40 ft from flagpole, angle of elevation is 35° from his eyes which are at height of Jose is 5 ft is 33 ft with the help of trigonometric-ratios.

What are trigonometric-ratios?

Greek is the language of measurement, and the word "metric" is Greek for triangle. The trigonometric ratios are particular measures of a right triangle, which is a triangle having a 90° angle.  The legs are the two sides of a right triangle that are linked at the right angle, while the hypotenuse is the third longest side.Trigonometric ratios are the ratios of the sides of a right triangle. The sine, cosine, tangent, secant, cosecant, and cot are six trigonometric ratios.

Consider the ΔECD,

AB=EC=40 ft

∠E=35°

EA=BC=5ft

tan A =\(\frac{side opposite to the angle}{side adjacent to the angle\\}\)

tan 35=\(\frac{CD}{EC}\)

0.7002=\(\frac{CD}{40}\)

CD= 0.7002 x 40

CD=28.008

CD≈28 ft

Total height of flagpost=BD

BD=BC+CD

BD=EA+CD

BD=5+28

height of falgpole=33 ft

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The term that describes an event that increases the likelihood of a response being repeated is known as reinforcement.

Reinforcement can be defined as any consequence that strengthens or increases the probability of a behavior occurring again in the future. This can include positive reinforcement, which involves adding a desirable consequence after a behavior, or negative reinforcement, which involves removing an aversive consequence after a behavior. Both types of reinforcement have been shown to be effective in increasing the likelihood of a behavior being repeated.

Overall, understanding the concept of reinforcement is essential in the field of psychology, particularly in the areas of behaviorism and behavior modification. By providing positive consequences after desired behaviors, individuals can be motivated to continue engaging in those behaviors, which can lead to long-term positive changes. Reinforcement can also be used to shape new behaviors or replace unwanted behaviors with more desirable ones.

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Answer:

The Correct answer is A

1/2

Answer:

I think 9 is the best answer

Answer:

9 is the answer.

Step-by-step explanation:

Given:

We can tell that '3x + 6y' is basically '15 x 3' because the whole equation has been multiplied by three. Therefore, 3x + 6y must equal 45.

=> 3x + 6y = 45

But we need to divide 45 by 5 to get the solution because the 3x + 6y has also been divided by 5.

=> 45/5

=> 9

Therefore, 9 is the answer.

\(GeniusUser\)

Answer:

no it is not

Step-by-step explanation:

you would have to get a common denominator which would be 60 so 12 times 5 is 60 and 20 times 3 is 60

then you multiply 4 by 3 and thats 12 and 3 times 5 is 15 so no they arent perportional

Answer:

N O

Step-by-step explanation:

Because A direct variation is when x and y (or f(x) and x) are directly proportional to each other... For example, if you have a chart that says x and y, and in the x column is 1, 2 and 3, and the y column says 2, 4 and 6... then you know it's proportional because for each x, y increases by 2.