hina started a game at 6:39 PM and finished it at 7:18 PM How long did it take her?

Answer:

6

Step-by-step explanation:

i just had the same question :)

When cup of blueberries is 3 , cup of ice is 6

when cup of ice is 10, cup of blueberries is 5 and

when cup of ice is 20, cup of blueberries is 10

A variation is a relation between a set of values of one variable and a set of values of other variables.

let cup of blueberries be x and cup of ice be y

it is discovered that as y increase x also increase

this means x varies directly as y

x= ky

k= x/y

therefore when x = 1 and y= 2

k = 1/2

therefore when x = 3, y= x/k= 3/½= 3×2= 6

when y = 10 , x= ky = 1/2 × 10= 5

When y = 20, x= ky = 1/2×20= 10

Therefore it is deduced that x varies directly as y and x =y/2

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Answer:

$1.25 per hot dog

Step-by-step explanation:

Since we have given that

A deli sells 2 hot dogs for $2.50

i.e.

Cost of 2 hot dogs = $2.50

And we need to find the constant of proportionality of dollars per hot dog, for which we'll use unitary method.

So,

Cost of 1 hot dog is given by

2.50/2=$1.25

So, Cost of per hot dog is $1.25.

Hope this helps :)

Answer:

THIS IS NOT MATHEMATICS!!!!!

Step-by-step explanation:

Multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, ...

The two digit numbers in that list above all have their digits adding to some other multiple of 3

and so on.

Therefore, the rule is: If the digits add to a multiple of 3, then the original number is a multiple of 3.

The required probabilities are:

A) P(D or 5) = 4/13

B) P(H and J) = 1/13

C) P(J or 8) = 2/13

D) P(H or S) = 1/2

E) P(R and F) = 3/26

F) P(R or Q) = 7/13

The ratio of favorable outcomes to the total outcomes of an event is said to be its probability.

P(E) = n(E)/n(S)

It is given that a single card is drawn at random from a standard deck of 52 cards.

So, the sample space consists of 52 cards in total

From those,

4 suits: Hearts, Clubs, Spades, Diamonds

Each of the suit has 13 cards: { Ace, 2,3,4,5,6,7,8,9,10, Jack, Queen, King}

There are 26 Red cards and 26 Black cards.

A) The probability of drawing a diamond or a 5:

P(D or 5) = P(D) + P(5) - P(D and 5)

               = 13/52 + 4/52 - 1/52

               = 16/52 = 4/13

B) The probability of drawing a heart and a jack:

P(H and J) = P(H) × P(J) (Since they are independent events)

                 = 13/52 × 4/13

                 = 1/13

C) The probability of drawing a jack or 8:

P(J or 8) = P(J) + P(8) - P(J and 8)

              = 4/52 + 4/52 - 0

              = 2/13

D) The probability of drawing a heart or a spade:

P(H or S) = P(H) + P(S) - P(H and S)

               = 13/52 + 13/52 - 0

               = 26/52 = 1/2

E) The probability of drawing a red and face card:

P(R and F) = P(R) × P(F) (Since they are independent)

                 = 26/52 × 12/52

                 = 1/2 × 3/13

                 = 3/26

(There are three face cards- jack, king, and queen: each of 4)

F) The probability of drawing a red card or a queen:

P(R or Q) = P(R) + P(Q) -P(R and Q)

               = 26/52 + 4/52 - 2/52

               = 28/52 = 7/13

Thus, the required probabilities are calculated.

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As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

For a normally distributed data set with a mean of 0 and a standard deviation of 0.5, the proportion of values between -1 and 1 is most closely related to 68%.

Approximately 68% of the data in a normal distribution lies within one standard deviation of the mean, which explains why. One standard deviation below the mean is -0.5, and one standard deviation above the mean is 0.5 since the mean is 0 and the standard deviation is 0.5. As a result, 68% of the data falls into the range of values between -1 and 1, which is one standard deviation from the mean. The closest estimate of the solution is 68%.

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The values of the different parameters of the shapes given would be =

5.) = 78.5 in²

6.) = 54cm²

7.) = 50.24 ft²

8.) = 108yd³

10.) = 320mm³

11.)=847.8m³

12.)=366.3ft³

13.)=1004.8in

14.)=113.04in³

For question 5.)

Area of base of cylinder = πr²

radius = 5 in

area = 3.14×5×5 = 78.5 in²

For question 6.)

Area of base of rectangular pyramid = l×w

length = 6 cm

width = 9 cm

Area = 6×9 = 54cm²

For question 7.)

Area of the base of a cone = πr²

radius = 4 ft

area = 3.14×4×4 = 50.24 ft²

For question 8.)

Volume of a square pyramid =1/3 a²h

a = 6 yd

h = 9yd

volume = 1/3× 6×6× 9

= 108yd³

For question 10.)

Volume of the rectangular pyramid;

= 1/3×l×W×h

width= 12mm

height = 8 mm

length = 10

Volume = 1/3× 12×8×10 = 320mm³

For question 11.)

Volume of a cone= ⅓πr²h

height = 10m

radius = 9m

Vol = ⅓×3.14×9×9×10

= 847.8m³

For question 12.)

Volume of cone = ⅓πr²h

height = 14ft

radius = 5ft

Volume = 1/3×3.14×5×5×14

= 366.3ft³

For question 13.)

Volume of cone = ⅓πr²h

height = 15in

radius = 16/2 = 8in

Volume = 1/3× 3.14× 8×8×15

= 1004.8in

For question 14.)

Volume of cone = ⅓πr²h

height = 12in

radius = 3in

volume = 1/3×3.14×3×3×12

= 113.04in³

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Given the expression:

if we multiply it by 2/2, we get the following:

which we can write in the following way:

then, we can factor the numerator using 2x as a variable. Then, we have the following:

since the right factor has coefficients that are multiples of 2, we have:

therefore, the final factorization is (2x-1)(x+7)

Answer: 63 computers.

Step-by-step explanation:

Let 48 computers be 100%.

If the number of computers sold must increase by 30% in the next month, that means they need to sell 100% + 30% = 130%.

48 computers - 100%

x computers - 130%

x = (48 * 130%) / 100% = 62.4 computers ⇒ 63 computers.

We are given:

There were 7 chocolate bars, evenly shared between 4 friends

Number of Bars one person will get:

Number of bars one person will get = Number of Bars / Number of Friends

Number of Bars = 7 / 4

but since this number does NOT match any of the given options, we will convert it to a mixed fraction

The number of bars one person will get will be \(1\frac{3}{4}\), written as a mixed fraction.

Therefore, the correct answer is option D

Answer:

4 friends =7 chocolate

1 friend =7/4 chocolate =1 3/4 part of chocolate.

68

I think, unless if it is multiplied =48

Answer:

48

Step-by-step explanation:

the h value is 8, so multiply 6 and 8,

for future reference, is there is no symbol in the middle, then you always multiply it

Answer:

\( \boxed{a = 16}\)

Step-by-step explanation:

\(if \: the \: question \: is \to \: 6= \frac{a}{4} +2 \\ 6(4) = \frac{a}{4} (4) + 2(4) \\ 24 = a + 8 \\ 24 - 8 = a \\ \boxed{a = 16}\)

To find a Riemann sum that gives an upper estimate of the double integral, we need to divide the region of integration into small subregions (in this case, squares) and take the maximum value of f(x, y) over each subregion.

The Riemann sum will then be the sum of the areas of the subregions times the maximum value of f(x, y) over each subregion.

For example, if we divide the region of integration into four squares, the Riemann sum would be given by:

Riemann sum = (area of first square) * (maximum value of f(x, y) in first

                           square) + (area of second square) * (maximum value of

                           f(x, y) in second square) + (area of third square) *

                           (maximum value of f(x, y) in third square) + (area of fourth

                           square) * (maximum value of f(x, y) in fourth square)

We can then fill in the specific values of the areas and maximum values of f(x, y) for each square based on the given values of f(x, y).

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Notice that both graphs have the same shape, but the blue curve is the red one after a translation to the right.

In general, given a function h(x), a translation in the x-axis direction is given by the formula

In our case, notice that the vertex of the parabola (0,0) transforms into (5,0)

Then,

The answer is g(x)=(x-5)^2

Answer:

14

Step-by-step explanation:

f(-1) = 10-4(-1)

=10-(-4)

=10+4

=14

Answer:

To the power 3 means cube.

Whenever you cube an even number it is a multiple of 8.

Whenever an exponent is used on 4, the number is always a square.

The value of the give exponent is 64.

Given that, the base is 4 and exponent is 3.

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

With the base 4 and exponent 3, we have

4³

= 4×4×4

= 64

Therefore, the value of the give exponent is 64.

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The line parallel to the x-axis passing through the points (5,5) and (-5,5) has a slope of 0, indicating a horizontal line with a constant y-coordinate value of 5.

To determine the slope of the line that represents this relationship, we can use the formula for slope, which is given by:

slope = (change in y-coordinates) / (change in x-coordinates)

In this case, we are given two points on the line: (5,5) and (-5,5).

The change in y-coordinates is 5 - 5 = 0, as the y-coordinate remains constant.

The change in x-coordinates is -5 - 5 = -10.

Substituting these values into the slope formula, we get:

slope = 0 / -10 = 0

Therefore, the slope of the line that represents this relationship is 0.

A slope of 0 indicates that the line is parallel to the x-axis. This means that the line has a constant y-coordinate value for all x-coordinate values. In this case, the line passes through the point (5,5) and (-5,5), and it remains at y = 5 for all x-values.

Visually, a line with a slope of 0 would be a horizontal line on the coordinate plane. It does not have an upward or downward slope but remains parallel to the x-axis.

It's important to note that the slope of 0 indicates a relationship where the dependent variable (y) does not change with respect to the independent variable (x). In this case, no matter the value of x, the corresponding y-value remains constant at 5.

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The possible solution to the condition is that if the rank of matrix A is less than the rank of its augmented matrix, the augmented matrix contains a row of the form 0 0…0 | b, where b is nonzero.

A matrix is a rectangular array or table with rows and columns of numbers, symbols, or expressions that are used to represent a mathematical object or an attribute of one.

Since the pivot b must, of course, not be zero, every row entry to the left of the pivot is zero by nature of the row-reduction procedure, which results in a row of the type,

\(\left[\begin{array}{ccc}0&0&.......0\ |\ b\end{array}\right]\) where b ≠ 0

Therefore, the possible solution to the condition is that if the rank of matrix A is less than the rank of its augmented matrix the augmented matrix contains a row of the form 0 0…0 | b, where b is nonzero.

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Answer:

13.4

Step-by-step explanation:

Area=1/2absin(the angle bounded or included)

If a triangle has one side length of 9cm and another side of .12cm . The 3 possible answers for the third side​ are:  17, 20, and 21.

To determine the possible lengths for the third side of the triangle, we can use the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the third side.

Using this theorem, the possible lengths for the third side can be found by checking which of the following inequalities hold:

   9 + 12 > x

   9 + x > 12

   12 + x > 9

Simplifying these inequalities, we get:

   x > -3 (always true)

   x > -9 (always true)

   x > -3 (always true)

Therefore, the possible lengths for the third side of the triangle must satisfy x > -9, which eliminates the answer 3 (which is less than 9 - 12 = -3).

The possible lengths for the third side are:

   9 + 12 > x, so x < 21

   9 + x > 12, so x > -3

   12 + x > 9, so x > -3

Therefore, the possible lengths for the third side of the triangle are:

   17 (9 + 12 = 21, which is greater than 17)

   20 (9 + 12 = 21, which is greater than 20)

   21 (9 + 12 = 21, which is equal to 21)

So, the three possible lengths for the third side of the triangle are 17, 20, and 21.

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The complete question is:

A triangle has one side length of 9

centimeters (cm) and another side length of 12

cm.

Which answers are possible lengths for the third side?

Select three that apply

17

22

9

21

20

3

The value of S4 for the given expression ♾️. n-1 Σ 1/4(-1/3) is -1/12.

The given expression ♾️. n-1 Σ 1/4(-1/3) represents a summation of the term 1/4(-1/3) over a range of values from 1 to n-1, where n is an unknown value. We need to find the value of S4, which represents the sum of this expression when n is equal to 4.

To find the value of S4, we substitute n = 4 into the expression and evaluate it.

♾️. n-1 Σ 1/4(-1/3) = ♾️. 4-1 Σ 1/4(-1/3)

Simplifying, we get:

♾️. 3 Σ 1/4(-1/3)

Since the term 1/4(-1/3) is constant, we can pull it out of the summation:

1/4(-1/3) ♾️. 3

Now, ♾️. 3 represents the sum of 3 terms. Multiplying 1/4(-1/3) by 3 gives:

1/4(-1/3) * 3 = -1/4 * 1/3 * 3 = -1/12

Therefore, the value of S4 for the given expression ♾️. n-1 Σ 1/4(-1/3) is -1/12.

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The probable question could be:

What is the value of s4 for expression ♾️. n-1 Σ 1/4(-1/3) ?

A) 1/9

B) 7/54

C) 5/27

D) 10/27

Work Shown:

21/35 = (7*3)/(7*5) = 3/5

Answer:

60

Step-by-step explanation:

distance=80*45/60

=80*0.75

=60km

Answer:

Areas under the curve

Step-by-step explanation:

The area under a curve on an interval [a, b] is the integral of the function computed in this interval :  \(A=\int _a^b|f\left(x\right)|dx\)

(1) For \(f\left(x\right)=3\sqrt{x}\) with \(a=1,\:b=4\)

area \(=\int _1^4\left3\sqrt{x}\;dx\) = \(3\cdot \int _1^4\sqrt{x}dx\) =

\(\int \sqrt{x}\) = \(\frac{2}{3}x^{\frac{3}{2}}\)

\(3\cdot\frac{2}{3}x^{\frac{3}{2}}\) = \(2x^{\frac{3}{2}}\)

At \(x = 4,\) we get \(2\cdot4^{\frac{3}{2}}\) = \(2\cdot8 = 16\)

At \(x = 1,\) we get \(2\cdot1^{\frac{3}{2}}\) = \(2.1 = 2\)

So area under the curve for \(f(x) = \:3\sqrt{x}\) in the interval \([1, 4] = 14\)

(2) \(f\left(x\right)=x-\frac{2}{3}\\\)

\(\int \:x-\frac{2}{3}dx\) = \(\int \:xdx-\int \frac{2}{3}dx\)  \(=\frac{x^2}{2}-\frac{2}{3}x\)

\(\left[\frac{x^2}{2}\right]^{27}_1 = \frac{27^2}{2} - \frac{1}{2} = \frac{729}{2}-\frac{1}{2} = \frac{728}{2} = 364\)

\(\left[\frac{2}{3}x\right]^{27}_1 = \frac{2}{3}\cdot \:27 - \frac{2}{3}\cdot \:1 = 18-\frac{2}{3} = \frac{52}{3}\)

\(\int _1^{27}\left|x-\frac{2}{3}\right|dx = 364-\frac{52}{3} = \frac{1040}{3}\)  (Answer)

Answer:

A

Step-by-step explanation:

formula of volume of a cuboid is lbh and if separated the figure in two parts you can understand that more easily

The value of y is 48.

To find the value of y in this scenario, we need to use the fact that the angle bisector of ∠JSL splits it into two congruent angles.

Let's denote one of these congruent angles as ∠HSL and the other as ∠LSJ. Since ∠JSL is bisected, we have:

m∠JSL = m∠HSL + m∠LSJ

Given that m∠JSL = (4y - 10)° and m∠HSL = m∠LSJ = ∠HSJ = (y + 43)°, we can substitute these values into the equation:

4y - 10 = (y + 43) + (y + 43)

Simplifying the equation:

4y - 10 = 2y + 86

Subtracting 2y from both sides:

2y - 10 = 86

Adding 10 to both sides:

2y = 96

Dividing both sides by 2:

y = 48

Therefore, the value of y is 48.

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Answer:

12

Step-by-step explanation:

120 divided by 100 =1.2 x 10