Julie is using a 1/2

1

2

-cup measuring cup to fill a gallon jug with water. Julie will need Response area scoops of the 12

1

2

-cup measuring cup to completely fill the jug.

Answer:

8 1/2

Step-by-step explanation:

She read 8 1/2 pages each day because if you divide 85 by 10 you will get 8 1/2.

Answer:

x = \(\sqrt{120}\) ≈ 10.95

Step-by-step explanation:

Use Pythagorean Theorem a²+b²=c²

6²-4²=a²

36-16=a²

a²=20

a=\(\sqrt{20}\)

\(\sqrt{20\)²+10²=c²

20+100=c²

c²=120

c= \(\sqrt{120}\) ≈ 10.95

The closest correlation of rates of return between stocks a and b is approximately -0.487 (negative), indicating opposite movements.

The relationship coefficient between two stocks an and b can be determined utilizing the equation:

relationship coefficient = covariance/(standard deviation of stock a * standard deviation of stock b)

Considering that the covariance between the profits of stocks an and b is - 0.073, and the standard deviation of the paces of return is 0.5 for stock an and 0.3 for stock b, we can substitute these qualities into the recipe to track down the connection coefficient.

relationship coefficient = - 0.073/(0.5 * 0.3) ≈ - 0.487

Consequently, the nearest worth of the connection of the paces of return between stock an and b is - 0.487. This negative relationship coefficient demonstrates that the profits of the two stocks will generally move in inverse bearings. At the point when one stock's return is high, the other stock's return is probably going to be low, as well as the other way around.

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There are 68,096 ways to distribute 8 different toys among six different children if at most 3 toys are given to the first two children combined.

The case where the first two children get zero toys. In this case, we need to distribute 8 toys among 4 children (since the first two children are not receiving any toys).

This can be done in \(4^8\) ways (since there are 4 choices for each toy and 8 toys in total).

Next, let's consider the case where the first two children get exactly one toy each.

In this case, we need to distribute the remaining 6 toys among 4 children (since the first two children already have a toy each).

This can be done in (4 choose 2) * \(2^6\) ways (since we need to choose which two children get a toy, and there are 2 choices for each of the remaining toys).

Finally, let's consider the case where the first two children get exactly two toys each.

In this case, we need to distribute the remaining 4 toys among 4 children (since the first two children already have 4 toys between them).

This can be done in (4 choose 2) * (2 choose 2) * \(4^4\)ways (since we need to choose which two children get two toys each, and then distribute the remaining toys among the remaining two children).

Therefore, the total number of ways to distribute 8 different toys among six different children if at most 3 toys are given to the first two children combined is:

\(4^8\) + (4 choose 2) * \(2^6\) + (4 choose 2) * (2 choose 2) * \(4^4\)

= 65,536 + 1,536 + 1,024

= 68,096

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Answer:

C.sin π÷5

Step-by-step explanation:

E2020

Answer:

C. sin π/5

Step-by-step explanation:

did the test on edge

The lengths of the two boards (234 inches and 246 inches) and adding them together, we find that the combined length of the boards is 480 inches.

To find the total length of the two boards, you need to add their individual lengths together.

Step 1: Identify the length of each board. The first board is 234 inches long, and the second board is 246 inches long.

Step 2: Add the lengths of the boards together.

234 (length of first board) + 246 (length of second board) = 480

So, the total length of the two boards on the shelf is 480 inches. This means that if you were to place the two boards end-to-end, they would cover a distance of 480 inches.

In summary, by identifying the lengths of the two boards (234 inches and 246 inches) and adding them together, we find that the combined length of the boards is 480 inches. This calculation helps us understand the total amount of space the boards would occupy if placed side by side.

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The standard form of the equation of the line

The equation of the line can be expressed in several forms. One of them is the standard form:

Ax + By = C

Where A, B, and C are constants, and x and y are the variables.

We have the equation:

Multiplying by 3:

Subtracting 4x:

Is the required standard form of the line

If the can's combined lips measure 38 inches and the adhesive overlaps by around 12 inches, the label's surface area will be 50 square inches.

The space filled by a flat form or the surface of an item is known as the area.

The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.

Given data;

Height of can,\(\rm H=5 \frac{3}{8} \ inch\)

Height of label,

\(\rm h=5\frac{3}{8} -\frac{3}{8} \\\\ h= 5 \ inch\)

Diameter,\(\rm d= 3 \ inch\)

The area of the label is;

A = ( overlap area  + circumfereence ) h

\(\rm A = [\frac{1}{2} + 2 \pi \times \frac{3}{2} ] \\\\ A =[ \frac{1+6\pi}{2} ] \times 5 \\\\ A = 49.6 \ inch^2\)

Hence, the label's surface area will be 50 square inches.

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Answer: A: -35x-10y=35

B: multiply equation 2 by 2

C: add equation 1 and equation 2

D: x=-3

E: (-3,7)

Step-by-step explanation:

See the image................

Answer:

  15. 80 benches

  16. 45 cost units

Step-by-step explanation:

The two problems together are asking you to find the coordinates of the vertex of the cost function. To do this you can use the procedure for writing a quadratic in vertex form.

  C(x) = 0.1x^2 -16x +685

  = 0.1(x^2 -160x) +685 . . . . . . factor out the leading coefficient

  = 0.1(x^2 -160x +6400) +685 -(0.1)(6400) . . . add and subtract 0.1(6400)

  C(x) = 0.1(x -80)² +45 . . . cost function in vertex form

__

The number of benches that minimizes the cost function is the x-coordinate of the vertex. That is the value that makes the square equal to zero.

  x = 80 . . . benches

__

The minimum value of the cost function is the value obtained when the squared term is zero:

  C(80) = 0.1(80 -80)² +45

  C(80) = 45

The minimum cost per bench is 45. (The problem statement gives no units for cost. It could be pesos, or millions of rubles. We can't tell.)

_____

Additional comment

The square of a binomial is ...

  (x +a)² = x² +2ax +a²

You will notice that the constant (a²) is the square of half the x-coefficient. To "complete the square", we put the equation in a form where we have (x² +2ax) in parentheses. Then we divide the x-coefficient by 2, and add its square inside parentheses: (x² +2ax +a²) and rewrite to the form of a square: (x +a)².

In order to keep the expression the same, we must subtract the same quantity elsewhere in the equation. Outside parentheses, it must be multiplied by the coefficient in front of the parentheses. In the above, we added (0.1)(6400) and subtracted (0.1)(6400) so that we could rearrange the cost function to vertex form: a(x -h)² +k has vertex (h, k).

__

We find a graphing calculator to be an extremely handy tool for dealing with polynomial functions. The attached shows the graph of the cost function. The calculator marks the vertex for us. Since it is a plot of cost versus number of benches, the units of the vertex are (benches, cost units).

Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect

The points are given as:

(3,6.5) and (4,17.55)

Calculate the rate of change using:

r = y4/y3

This means that:

r = 17.55/6.5

r = 2.7

So, the next point on the graph is:

Next point = 2.7 * y4

Substitute 17.55 for y4

Next point = 2.7 * 17.55

Evaluate

Next point = 47.39

This means that the next point on the graph is (5,47.99)

Hence, Mike's claim that (5,28.6) is a point on the exponential function g(x) is incorrect

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Answer:

6 $5 dollar bills, and 20 $10 dollar bills

Step-by-step explanation:

The number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

The permutation is a way of finding the number of ways of selecting a set of articles from a larger set of articles, with the order of selection being significant.

If we want to choose r items from n items, where the order of selection is significant, then we can find the number of ways of doing this using the permutation as follows:

nPr = n!/{(n - r)!}.

In the question, we are asked to find the number of ways Kristen can rank her favorite four investments from the 8 potential investments that her financial advisor has given her.

Thus, using permutations, we need to select 4 items from 8 items, with order of selection being significant.

Substituting n = 8, and r = 4 in the formula, we get:

8P4 = 8!/{(8 - 4)!}

= 8!/4!

= 5 * 6 * 7 * 8

= 1680.

Thus, the number of ways in which Kristen can rank her favorite four from 8 using permutations is 1680.

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Answer:

2 rays: Two examples of rays are AB and AC, both emanating from a common endpoint A and extending infinitely in opposite directions.

2 line segments: Two examples of line segments are AB and CD, both of which have two endpoints and a finite length.

2 lines (not including the parallel lines): Two examples of lines are AB and CD, which intersect at a point E.

2 sets of parallel lines: Two examples of sets of parallel lines are AB and CD, and EF and GH, where AB and CD are parallel to each other, and EF and GH are parallel to each other.

2 acute angles (not incl. the ones in the As): Two examples of acute angles are ∠BAC and ∠EFG, both of which measure less than 90 degrees.

2 obtuse angles (not incl. the ones in the As): Two examples of obtuse angles are ∠PQR and ∠XYZ, both of which measure greater than 90 degrees.

2 right angles (not incl. the ones in the As): Two examples of right angles are ∠ABC and ∠EFG, both of which measure 90 degrees.

2 clear examples of supplementary angles: Two examples of supplementary angles are ∠ABC and ∠DEF, and ∠PQR and ∠RST, where the sum of the angles in each pair is 180 degrees.

2 clear examples of complementary angles: Two examples of complementary angles are ∠ABC and ∠PQR, and ∠DEF and ∠RST, where the sum of the angles in each pair is 90 degrees.

2 clear examples of more than two angles on a line that add up to 180°: Two examples of sets of angles on a line that add up to 180 degrees are ∠ABC, ∠BCD, and ∠CDE, and ∠PQR, ∠QRS, and ∠RST.

2 right triangles: Two examples of right triangles are ΔABC and ΔPQR, where ∠CAB and ∠QRP are right angles.

2 acute triangles: Two examples of acute triangles are ΔDEF and ΔGHI, where all angles are acute.

The sum of the measures of angles within each triangle:

In ΔABC, the sum of the measures of the angles is 180 degrees, where ∠A measures 90 degrees, and ∠B and ∠C measure 45 degrees each.

In ΔPQR, the sum of the measures of the angles is 180 degrees, where ∠P and ∠R measure 90 degrees each, and ∠Q measures 0 degrees.

In ΔDEF, the sum of the measures of the angles is 180 degrees, where all angles are acute, and ∠D, ∠E, and ∠F measure 60 degrees each.

In ΔGHI, the sum of the measures of the angles is 180 degrees, where all angles are acute, and ∠G, ∠H, and ∠I measure 40 degrees each.

In ΔJKL, the sum of the measures of the angles is 180 degrees, where ∠K measures 90 degrees, and ∠J and ∠L measure 45 degrees each.

In ΔMNO, the sum of the measures of the angles is 180 degrees, where ∠O measures 90 degrees, and ∠M and ∠N measure 45 degrees each.

A:

4 seconds per centimer:

30cms               15 cms

----------------       -------------

2 minutes           1 minute

1 minute= 60 seconds

15 cms                       1cm

-----------------     =     ----------------

60 seconds              4seconds

B: 15 cms per minute

30cms/2minutes

(divide by 2 to get speed for one minute)

15cm/1 minute

Answer:

both negative 1 over two

Step-by-step explanation:

Answer:

-10/5 for green line aka -2x

and the parallel line would be the same -2x

the equations would be

y= =2x- 6

and the other would be

y= -2x-6

(this should be right)

Muscular strength can be measured based on the amount of weight lifted.

Muscular strength can be measured based on the amount of weight lifted. The upper-body and lower-body strength are measured separately. Muscular strength is typically measured which is known as a One Rep Max (1RM).

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(a) (i) dne (ii) -6 (iii) -6

(b) (i) n-1 (ii) n

(c) The limit exists only for whole number values of 'a.'

(a) (i) In this case, the limit does not exist because the function is not defined for x approaching -6 from the left side. Therefore, the answer is "dne" (does not exist).

(a) (ii) When approaching -6 from either the left or the right side, the value of x remains -6. Thus, the limit is -6.

(a) (iii) Similar to the previous case, when approaching -6.2 from either the left or the right side, the value of x remains -6.2. Therefore, the limit is -6.2.

(b) (i) When approaching a whole number n from the left side, the value of x approaches n-1. Hence, the limit is n-1.

(b) (ii) When approaching a whole number n from either the left or the right side, the value of x approaches n. Therefore, the limit is n.

(c) The limit of x exists only for whole number values of 'a.' This is because the greatest integer function is defined only for whole numbers, and as x approaches any whole number, the value of x remains the same. For non-whole number values of 'a,' the function is not defined, and therefore, the limit does not exist.

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Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

To do content analysis on the characteristics people seek in a partner by examining the personals section of three newspapers the unit of analysis will be objective of the section.

Given that we are interested in doing content analysis on the characteristis people seek in a partner by examining the personals section of three newspaper.

Content analysis is basically a research tool used to determine the presence of certain words, themes,or concepts within some given qualitative data. Using content analysis, a researchers can quantify and analye the presence meanings and relationships of such certain words, themes and concepts.

When we are required to do content analysis by examining the personals section of three newspapers, its units can be objective of section. Some part is related to matrimonials, some are for rent,etc.and some are for commercial advertisements.

Hence the unit of analysis is objective of the section.

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Answer:

x = 5

Step-by-step explanation:

the Equation could be:

m L ABC + m L BAC = m L C (the outer angle)

4x-3 + 3x+8 = 5x+15

7x+5 = 5x+15

7x-5x = 15-5

2x = 10

x = 5

Recall

Sum of two interiors=exterior

Answer:

3x + 5

Step-by-step explanation:

Step 1: Write expression

5x + 11 - (2x + 6)

Step 2: Simplify

Recall that 60 minutes makes 1 hour

Hence 4 hours will be

= 60 * 4

= 240 minutes

If in 15 minutes, she can pick 1/3 pounds of berries

then 240 minutes

= 240/15 * 1/3

= 16/3 pounds

= 5 1/3 pounds

There are 56 possible ways to make a selection of coins so that the value is at least 25 cents.

The total number of possible ways to make a selection of coins so that the value is at least 25 cents is calculated using the formula:

# of ways = (n+r-1Cr-1)

Where n is the number of coin denominations available and r is the number of coins needed to make the selection.

In this case, n = 5 (1 cent, 5 cents, 10 cents, 25 cents, 50 cents) and r = 4. Therefore, the number of ways to make a selection of coins so that the value is at least 25 cents is calculated as:

of ways = (5+4-1C4-1)

of ways = (8C3)

of ways = 56

Therefore, there are 56 possible ways to make a selection of coins so that the value is at least 25 cents.

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Answer:

yes

Step-by-step explanation:

aeb goes in a triangular angle

Answer:

= -6

Step-by-step explanation:

6 - 2 (4 + 5) + 6​

=6-2 * 9 + 6

= -6

Answer:

12

Step-by-step explanation:

The volume of a cone with the same radius and height as the cylinder is 26 cm³.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

Its volume is expressed as;

V = πr²h

Also, the volume of cone is expressed as;

V = (1/3)πr²h

Hence;

Volume of a cone = (1/3) × Volume of cylinder.

Given the data in the question;

Volume of a cone = (1/3) × Volume of cylinder

Volume of a cone = (1/3) × 78 cm³

Volume of a cone = 26 cm³.

The volume of the cone is 26 cubic centimeters.

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