675 grams of sweets were distributed among 9 children. How much sweet was given to each child?

Answer:

Rudy's house is approximately 2.8 miles away from Javier's house.

Step-by-step explanation:

We can use the Pythagorean theorem to solve this problem. Let x be the distance from Rudy's house to Javier's house. Then, we can set up the following equations based on the given information:

x^2 + 1^2 = 3^2 (using the distance between Javier's and Steve's houses)

x^2 = 9 - 1

x^2 = 8

x ≈ 2.8

Therefore, Rudy's house is approximately 2.8 miles away from Javier's house.

Answer:

B

Step-by-step explanation:

Using the trig. identity

cos x = \(\frac{1}{secx}\)

Given

secx = - \(\frac{2\sqrt{3} }{3}\) , then

cos x = - \(\frac{3}{2\sqrt{3} }\) × \(\frac{\sqrt{3} }{\sqrt{3} }\) = - \(\frac{3\sqrt{3} }{6}\) = - \(\frac{\sqrt{3} }{2}\) , thus

x = \(cos^{-1}\) (- \(\frac{\sqrt{3} }{2}\) ) = \(\frac{5\pi }{6}\) → B

Answer:

-867.8916

Step-by-step explanation:

1 ^3= -1×867.8916

- 867.8916

The simplified form of the expression 1/5 divied by 2 as a fraction is 1/10.

Given the expression in the question;

1/5 divied by 2

1/5 ÷ 2

To simplify, multiply 1/2 by the reciprocal of 2

1/5 ÷ 2

1/5 × 1/2

Simplify

( 1 × 1 ) / ( 5 × 2 )

( 1 ) / ( 5 × 2 )

Multiply 5 and 2

( 1 ) / ( 10 )

1/10

Therefore, the simplified form is 1/10.

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4y - 56 is the equivalent expression for 8(1/2y - 7)​​

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we substitute the same value(s) for the variable(s).

Given: 8(1/2y - 7)​​

In order to write an equivalent expression, clear the parenthesis:

8(1/2y - 7)​​ = 8(1/2y ) -  8(7)

                = 4y - 56

Therefore, the equivalent expression for 8(1/2y - 7)​​ is 4y - 56

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Answer:

-3 - 10m = c

Step-by-step explanation:

y=mx+c ( Equation of straight line )

y = mx + c

-3 = m(10) + c

-3 = 10m + c

-3 - 10m = c

Standardized test score that represents 70th percentile is 86.

Percentile is a comparison score between someone's score and the scores of the rest of the group. It tells the percentage of surpassed scores.

Data set = 48, 65, 72, 86, 84, 52, 93, 97, 81, 80

Sample size, n = 10

Now, arrange numbers in ascending order.

48, 52, 65, 72, 80, 81, 84, 86, 93, 97

Formula for percentile is,

Percentile = ( Number of Scores below 86 / Sample size ) x 100

Percentile = ( 7 /10 ) x 100

= (0.7) x 100

= 70%

Therefore, we can conclude that 70th percentile is = 86.

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Answer:

x-intercept is (-3,0)

y intercept is (0,-4)

Step-by-step explanation:

See attached worksheet

Answer: (-2)(4)

Step-by-step explanation:

The model could be explained as follows ;

Step 1 : 0 - - - - > - 2 = - 2 units

Step 2 : -2 - - - - > -4 = - 2 units

Step 3: - 4 - - - - > -6 = - 2 units

Step 4: - 6 - - - - > -8 = - 2 units

-2 units for reach of the 4 steps

Therefore, model is expressed as :

(-2) × 4

(-2)(4)

Kindly view detailed sketch and explanation in the picture attached.

Answer: (-2)(4)

Step-by-step explanation:

The model could be explained as follows ;

Step 1 : 0 - - - - > - 2 = - 2 units

Step 2 : -2 - - - - > -4 = - 2 units

Step 3: - 4 - - - - > -6 = - 2 units

Step 4: - 6 - - - - > -8 = - 2 units

-2 units for reach of the 4 steps

Therefore, model is expressed as :

(-2) × 4

(-2)(4)

Answer:

-13

Step-by-step explanation:

3x-5x+10=35

-2x+10=36

-2x=36-10

-2x\-2=26\-2

x=-13

We have computed the Taylor polynomials of the given function f (x) = cos (4x), using around 6 decimals for approximation. These polynomials can then be used to approximate the given function.

Function is a block of code that performs a specific task. It can accept input parameters and return a value or a set of values. Functions are used to break down a complex problem into simple, manageable tasks. They also help improve code readability and re-usability. By using functions, you can write code more efficiently and easily maintain your program.

The Taylor series of a given function is a polynomial approximation of that function, derived using derivatives. In this case, we are asked to compute the Taylor polynomial for the function f (x) = cos (4x).

The Taylor polynomials of f are as follows:

p0(x) = 1

p1(x) = 1 - 8x2

p2(x) = 1 - 8x2 + 32x4

p3(x) = 1 - 8x2 + 32x4 - 128x6

p4(x) = 1 - 8x2 + 32x4 - 128x6 + 512x8

For any approximations, we can use around 6 decimals. For instance, if x = 0.5, then p4(0.5) = 0.988377, which is an approximation of the actual value of f (0.5), which is 0.98879958.

In conclusion, we have computed the Taylor polynomials of the given function f (x) = cos (4x), using around 6 decimals for approximation. These polynomials can then be used to approximate the given function.

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Answer:

Here in the picture is the prime factorisation of 13824

Please mark as brainliest

Answer:

7/3 or 2.333333333

Step-by-step explanation:

Answer:

Answer is 2 1/3

Step-by-step explanation:

7/9 divided by 1/3 you can't divide fractions so you multiply so it would look more like:

7/9 * 1/3 = 7/3

you then divide 7 by 3 and get 2 1/3

So your answer is 2 1/3

The answer is P(>204.3) = 0.5000

There are an infinite number of real numbers > 204.3, but an equally infinite number of real numbers < 204.3

The chance of randomly selecting a number >204.3 is 1/2 or 50%

or for 4 decimals: 50.0000%

The probability of an event can be calculated via chance formula with the aid of truly dividing the favorable range of effects by means of the whole number of feasible effects.

Opportunity = the wide variety of ways of achieving fulfillment. The whole range of viable effects. As instance, the possibility of flipping a coin and it being head is ½, because there is 1 way of having a head and the whole range of viable effects is two (a head or tail).

Chance is the department of mathematics that research the possible outcomes of given occasions together with the outcomes' relative likelihoods and distributions.

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Answer:

Deductive Reasoning.

Step-by-step explanation:

Basically it’s logical thinking in simply terms.

Answer:

67 to be at work by the end if your here and we can go to the group and we will be in the office Andy I have to go to work and come back to you and get to you by the end of siliconeyiq and the next day or spiral ham and cheese for the day but will be in a

To find out how far a car will travel (in feet) before a driver reacts to an obstacle, given that the car is moving at 34 miles per hour in a residential neighborhood, we need to convert the speed of the car from miles per hour to feet per second. This can be done using the conversion factor that 1 mile per hour is equal to 1.46667 feet per second. Therefore, 34 miles per hour is equal to 34 x 1.46667 = 49.86678 feet per second.

We know that the average reaction time of the driver is 1.2 seconds, and we can use the following formula to calculate the distance traveled by the car before the driver reacts to the obstacle:

d = v x t

where d is the distance, v is the velocity, and t is the time taken. Using the formula above, we can calculate the distance traveled by the car before the driver reacts to the obstacle as:

d = 49.86678 x 1.2 = 59.84014 feet

Therefore, the car will travel 59.84014 feet before a driver reacts to an obstacle.

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Answer:

-3.5

Step-by-step explanation: 33/6= 5.5 5.5-9= -3.5

Answer:

y = 3

Step-by-step explanation:

1. Subtract 33 by 15 (9+6)

2. You get the answer 18

3. 6 times y = 18

4. y = 3 ; therefore y equals 3.

5. Y = 3

Answer:

equal to

Step-by-step:

Again, the mean reflects the slanted the most.

To summarize, generally if the distribution of data is slanted to the left, the mean is less than the median, which is often less than the mode. If the distribution of data is slanted to the right, the mode is often less than the median, which is less than the mean.

Answer:

Equal

Step-by-step explanation:

The median is the midmoint of all points (as many values below as above this value). The mean is the (sum of values) / (count of values). Since every value has the exact same count, the mean and median will be the same.

Answer:

Total framed print = 517

Step-by-step explanation:

Framed print:

Small = 23

Medium = 264

Large = 188

Extra large = 42

Total framed print = Small + Medium + Large + extra large

= 23 + 264 + 188 + 42

= 517

Total framed print = 517

Unframed print:

Small = 152

Medium = 544

Large = 496

Extra large = 81

Total unframed print= Small + Medium + Large + extra large

= 152 + 544 + 496 + 81

= 1,273

Answer:

C- 517

Step-by-step explanation:

Answer: -842

Step-by-step explanation:

To find n95, we have to use the equation aₙ = d * n + a₁ - d

a₁ is the first term, which here is 4. d is the common difference, which we can find out but seeing what we can add pr subtract from 4 to -5 which also equals -5 to -14, in this equation, the common difference would be -9 as it goes down by 9 every term. Once we plug these into the equation, we get

a₉₅ = -9 * n + 4 - (-9)

We can solve this for - aₙ = -9n + 13

Now that we have our equation to find a term, we can plug in n for 95 for

-9(95) + 13

Which equals -842

Answer:

4^5

4 by the power of 5

Step-by-step explanation:

4 times the amount of 4's

4 times 5 does not equal 4^5 and is not the answer

it is 4 by the power of 5

The statement that best describes the line segment drawn in relation to the y-axis is (c) the y-axis is a bisector of the segment drawn.

The transformation rule is given as:

\((x,y) \to (-x,y)\)

When the triangle is reflected to form triangle H'A'M', the vertices of triangle H'A'M' would be:

\(H'A'M' = (-x,y)\)

So, the distance from point A to the y-axis is equidistant to the distance from point A' to the y-axis.

This, in other words means that the y-axis bisects the line segment AA'.

Hence, the relation between the segment and the y-axis is (c)

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Answer:

C. The y-axis is a bisector of the segment drawn.

Step-by-step explanation:

Answer:

1500

Step-by-step explanation:

75% of a 2000 km trip is 1500.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Percentage is usually denoted by the symbol '%'.

Given,

Total distance = 2000 km

We have to find the 75% of the given distance.

Let x be the 75% of the required distance.

x = 75% × 2000

x = (75/100) × 2000

x = 0.75 × 2000

x = 1500

Hence the 75% of the given distance is 1500 km.

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a and c are directly proportional to each other when a and b are directly proportional and b and c are directly proportional.

If a and b are directly proportional and b and c are directly proportional, it means that their ratios are equal. Direct proportionality implies that as one variable increases, the other also increases in proportion and as one variable decreases, the other also decreases in proportion.

Mathematically, this can be written as

a = kb and b = mc, where k and m are constants of proportionality.

Multiplying these two equations gives: a = kbm

Substituting the value of b from the second equation in the first equation, we get: a = kmc

Therefore, a and c are also directly proportional to each other with a constant of proportionality km.

Thus, if a increases by a certain factor, c will also increase by the same factor.

If a and b are directly proportional and b and c are directly proportional, then it can be concluded that a and c are directly proportional as well.

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The Scale factor was used to enlarge the picture is 7/ 31.5.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.

Given:

A picture is 7 inches wide and 9 inches long.

A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long.

So, scale factor is

= Original dimension / Enlarged dimension

= 9/ 40.5

= 90/ 405

= 10/45

= 2/9

Now, simplifying the scale factor 7/31.5 because it has Nr < Dr.

= 7/ 3.15

= 70/31.5

= 2/9

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The given vectors are linearly dependent for h = 90 or h = -2, and they are linearly independent for all other values of h. The correct answer is A.

The given vectors are linearly dependent if and only if there exist constants c1, c2, c3, and c4, not all zero, such that

c1[-1 4 6] + c2[5 2 -3] + c3[6 2 6] + c4[-24 -8 h] = [0 0 0]

This can be written as a system of linear equations:

c1 + 5c2 + 6c3 - 24c4 = 0

4c1 + 2c2 + 2c3 - 8c4 = 0

6c1 - 3c2 + 6c3 + hc4 = 0

To determine for what values of h the vectors are linearly dependent, we can use row reduction to put the augmented matrix of this system in row echelon form:

[ -1 5 6 -24 | 0 ]

[ 4 2 2 -8 | 0 ]

[ 6 -3 6 h | 0 ]

Adding row 1 to row 2, and subtracting 2 times row 1 from row 3, we get:

[ -1 5 6 -24 | 0 ]

[ 0 7 8 -40 | 0 ]

[ 0 -13 -6 h+48 | 0 ]

Adding 13 times row 2 to row 3, we get:

[ -1 5 6 -24 | 0 ]

[ 0 7 8 -40 | 0 ]

[ 0 0 90-h 88 | 0 ]

So, the vectors are linearly dependent if and only if the last row of the row echelon form is not of the form [0 0 0 0]. This occurs when h = 90 or h = -2. The correct answer is A.

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The resulting output array would be {16, 8, 29, 22, 43, 28}.

To perform a 1D convolution, we need to flip the mask m and then slide it over the array n, multiplying the corresponding elements and adding the products.

First, we need to pad the array n with zeros to handle the ghost elements. We need to add two zeros at the beginning and one zero at the end to ensure that all elements in the mask m have corresponding elements in the array n.

n_padded = {0, 0, 4, 1, 3, 2, 3, 0}

Now we flip the mask m.

m_flipped = {4, 1, 2}

Next, we slide the mask over the padded array and perform the multiplication and addition.

output[0] = m_flipped[0]*n_padded[0] + m_flipped[1]*n_padded[1] + m_flipped[2]*n_padded[2] = 0 + 0 + 16 = 16

output[1] = m_flipped[0]*n_padded[1] + m_flipped[1]*n_padded[2] + m_flipped[2]*n_padded[3] = 0 + 4 + 4 = 8

output[2] = m_flipped[0]*n_padded[2] + m_flipped[1]*n_padded[3] + m_flipped[2]*n_padded[4] = 16 + 1 + 12 = 29

output[3] = m_flipped[0]*n_padded[3] + m_flipped[1]*n_padded[4] + m_flipped[2]*n_padded[5] = 8 + 6 + 8 = 22

output[4] = m_flipped[0]*n_padded[4] + m_flipped[1]*n_padded[5] + m_flipped[2]*n_padded[6] = 29 + 2 + 12 = 43

output[5] = m_flipped[0]*n_padded[5] + m_flipped[1]*n_padded[6] + m_flipped[2]*n_padded[7] = 22 + 6 + 0 = 28

Therefore, the resulting output array would be {16, 8, 29, 22, 43, 28}.

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Answer:

56%

Step-by-step explanation:

Let me know if you need an explanation! Hope this helped :)

Answer:

43.75%

Step-by-step explanation:

step 1

16-9=7

7ounce remains

step2

7 of 16 ounce remains

convert into percentge

7/16×100=43.75%