A grocer wants to mix two kinds of candy. One kind sells for $1.20 per pound, and the other sells for $2.00 per pound.He wants to mix a total of 26 pounds and sell it for $1.65 per pound. How many pounds of each kind should he use inthe new mix? (Round off the answers to the nearest hundredth.)

For the Venn Diagram with the code 0000, the 7-bit Hamming code extended is 0011000.

What is a Venn Diagram?

In order to solve problems based on the sets, we can use a Venn diagram to depict the logical relationship between sets and their components. Although other closed figures like squares may be used, a Venn diagram commonly uses intersecting and non-intersecting circles to indicate the relationship between sets.

To extend the four-bit code word "0000" to a seven-bit Hamming code word, we need to add three parity bits to the code word.

These parity bits are calculated based on the positions of the 1's in the code word.

To determine which subset of the Venn Diagram to put each parity bit in, we can use the following rules -

Parity bit 1 covers all bit positions that have an odd index (i.e., 1, 3, 5, 7, etc.).

Parity bit 2 covers all bit positions that have a "2" bit in their binary representation (i.e., 2, 3, 6, 7, etc.).

Parity bit 3 covers all bit positions that have a "4" bit in their binary representation (i.e., 4, 5, 6, 7, etc.).

Using these rules, we can fill in the Venn Diagram as follows -

Subset 1: 0 (bit position 1)

Subset 2: 00 (bit positions 2, 3)

Subset 3: 000 (bit positions 4, 5, 6)

Subset 4: 0000 (bit positions 7, 8, 9, 10)

Parity bit 1: 1 (covers bit positions 1, 3, 5, 7, 9, 11, 13)

Parity bit 2: 1 (covers bit positions 2, 3, 6, 7, 10, 11, 14)

Parity bit 3: 0 (covers bit positions 4, 5, 6, 7, 12, 13, 14)

So, the seven-bit Hamming code word that extends the four-bit code word "0000" is -

0011000

The first three bits (001) represent Subset 3, which contains the original code word "0000".

The next three bits (100) are the parity bits, and the last bit (0) represents Subset 4.

Therefore, the 7-bit code is obtained as 0011000.

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Answer:

1) m = 9/2, n = 9

3) x = y = (3√2)/2

Step-by-step explanation:

1) We have a 30°-60°-90° right triangle, so the length of the longer leg is √3 times the length of the shorter leg, and the length of the hypotenuse is twice the length of the shorter leg. The length of the longer leg is (9√3)/2, so m, the length of the shorter leg, is 9/2, and n, the length of the hypotenuse, is 18/2, or 9.

3) We have an isosceles right triangle, so the length of the hypotenuse is √2 times the length of each leg. The length of the hypotenuse is 3, so x and y, the lengths of the two congruent legs, are 3/√2, or (3√2)/2.

The term that is the −20,155,392 in the sequence is a₁₀.

A sequence is defined as an arrangement of numbers in a particular order.

The given sequence is 2, -12, 72, -432

a = first term

n = number of terms

r = common ratio

r = -12 / 2 = 72 / -12 = -432 / 72 = -6

a = 2

Therefore, nth term = arⁿ⁻¹

−20,155,392 = 2 × -6ⁿ⁻¹

−20,155,392 / 2 = -6ⁿ⁻¹

- 10077696 =  -6ⁿ⁻¹

6ⁿ⁻¹ = 10077696

6ⁿ⁻¹  = 6⁹

n - 1 = 9

n = 9 + 1

n = 10

Hence, it's the 10th term.

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Answer:

14 +15 the answer is this

Answer:

The Commutative Property is a property that states the order of the numbers in addition and multiplication don't matter. 2+3+7 = 7+2+3

Step-by-step explanation:

7(c+3)+ -4(3c-2)

Distribute the 7 and the -4 to each of their parentheses.

7c+21-12c+8

You can use the Commutative Property to move the terms to places where they can be easily simplified.

7c-12c+21+8

Simplify.

-5c+29

Problem 1

Imagine a rectangle that is 2 by 3. You would have an area of 2*3 = 6 and it is the same as saying 3*2 = 6. The order of multiplication doesn't matter. Visually, we can rotate the rectangle to have the shorter side be horizontal and then make it vertical, and the area is still the same. All we're doing is shifting things around.

Another example is say you had a marching band with 10 rows and 2 columns. That gives 10*2 = 20 people total. Then we could easily form the same number of people into 2 rows and 10 columns. The order of rows and columns doesn't matter because we get the same total number as a result.

======================================================

Problem 2

7(c+3) + -4(3c-2) ..... is the original expression

7(c+3) - 4(3c - 2) .... adding a negative is the same as subtracting

7*c + 7*3 - 4*3c - 4*(-2) .... distributive property

7c + 21 - 12c + 8 .... multiply

(7c-12c) + (21+8) .... group like terms

-5c + 29 ... combine like terms

The original expression simplifies to -5c+29

Answer:

False (no solution)

Step-by-step explanation:

What is the solution to the equation 3 − 5 + 10 = 36?

3 − 5 + 10 = 36

8 = 36

it's false

The solution of the system of equations are  x = - 6 , y = 44 and z = 2

Given,

The system of equations;

3x + y - 2z = 22

x + 5y + z = 4

x = -3z

We have to solve the given equations;

Substitute x = -3z in both equations;

3x + y - 2z = 22

⇒ 3 × -3z + y - 2z = 22

⇒ - 9z + y - 2z = 22

⇒ - 11z + y = 22

And,

x + 5y + z = 4

⇒ - 3z + 5y + z = 4

⇒ 5y - 2z = 4  

Solve the equations  - 11z + y = 22  and 5y - 2z = 4  

We get,

⇒ y = 44 and z = 2

So, x = - 3z    

⇒ x = - 3 × 2

⇒ x = - 6

Thus, The solution of the system of equations are;

⇒ x = - 6 , y = 44 and z = 2

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Answer: y = 40*12 = 480

Step-by-step explanation:

Answer:

we can compare 4 x 3 and 2 x 6, equal to 12. So, we can see that both products are similar and neither is greater.

Step-by-step explanation:

We can use the commutative property of multiplication to see that 3 x 4 is the same as 4 x 3 and 6 x 2 is the same as 2 x 6. When multiplying two numbers, the order of the numbers does not affect the product. Therefore, we can compare 4 x 3 and 2 x 6, equal to 12. So, we can see that both products are similar and neither is greater.

NEED MORE EXPLANATION?

The commutative property of multiplication states that when multiplying two numbers, the order of the numbers does not affect the product. This means that 3 x 4 is the same as 4 x 3, and 6 x 2 is the same as 2 x 6. We can use this property to compare 4 x 3 and 2 x 6, equal to 12. Therefore, we can see that both products are identical and neither is greater.

Using z-scores, it is found that due to the lower z-score, Beth had the fastest time when compared to her team.

This problem is incomplete, but researching on the internet, we have that:

The z-score of a measure X in a distribution with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

For this problem, lower times means that the swimmer is faster, hence the swimmer that had the fastest time when compared to her team is the swimmer with the lowest z-score.

Angie's z-score is given by:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (26.2 - 27.2)/0.8

Z = -1.25.

Beth's z-score is given by:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (27.3 - 30.1)/1.4

Z = -2.

Due to the lower z-score, Beth had the fastest time when compared to her team.

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Answer:

Hello,

Step-by-step explanation:

\(\displaystyleV=2*\pi*\int\limits^4_2 {(\dfrac{1}{x}-\dfrac{1}{x^3} )*x } \, dx \\=2*\pi*\int\limits^4_2 {(1-\dfrac{1}{x^2} ) } \, dx \\=2*\pi* [x+\dfrac{1}{x}]^4_2\\\\\boxed{V=\dfrac{7\pi}{2}}\\\)

The area should be 47.5 CM.

Answer:

Step-by-step explanation:

The figure you see here is a trapezoid.

Area = \(\frac{(a + b)h}{2}\) = \(\frac{(6 + 13)(5)}{2}\) = \(\frac{(19)(5)}{2}\) = \(\frac{95}{2}\) = 47.5 cm

Yes, we would be more intrigued by looking so at mean, median, or mode for the below type of data set.

Choose the proper center measurement first, and then decide how to support your decision.

Correct center measurement

Justification:

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The correct question is-

For the following type of data set, would you be more interested in looking at the mean, median, or mode? State your reasoning.

The price of cars on a car lot-

The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.

From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.

Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:

[asy]

unitsize(1cm);

pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);

draw(O--N--A,Arrow);

draw(O--S--B,Arrow);

\(label("$52^\circ$", N + 0.3*dir(52), NE);\)

\(label("$134^\circ$", S + 0.3*dir(134), SE);\)

draw(O--A--B--cycle,dashed);

\(label("$x$", (N+A)/2, W);\)

\(label("$y$", (S+B)/2, E);\)

[/asy]

We can use the tangent function to find x and y, since we have the angle and opposite side.

From the north observation point, we have:

\($$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$\)

From the south observation point, we have:

\($$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$\)

Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

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dp/dt = t ² p - p + t ² - 1

Factorize the right side:

dp/dt = p (t ² - 1) + (t ² - 1)

dp/dt = (p + 1) (t ² - 1)

So the differential equation is separable as

dp/(p + 1) = (t ² - 1) dt

Integrate both sides:

∫ dp/(p + 1) = ∫ (t ² - 1) dt

ln|p + 1| = t ³/3 - t + C

Solve for p :

p + 1 = exp(t ³/3 - t + C )

p + 1 = C exp(t ³/3 - t )

p = C exp(t ³/3 - t ) - 1

Answer:

I think i don't know the answer i am so sorry!!!

maybe someone else can Answer

Step-by-step explanation:

Let x = arcsin(√2/2).

We have sinx = √2/2, which is a basic trignometry identity. (sin45° = √2/2)

Since the range of arcsinx is [-90°, 90°] and 45° is within the range, the answer is 45° or π/4.

Step-by-step explanation:

to eliminate the always positive absolute value at the end let's set y = -3x

that makes the absolute value term = 0 in all cases.

then we have

sqrt((x - 8)² + (-3x + 4)²)

the x-value that makes this a minimum result also makes

(x - 8)² + (-3x + 4)²

a minimum.

x² - 16x + 64 + 9x² - 24x + 16

10x² - 40x + 80

the x that makes this a minimum, also makes

x² - 4x + 8

a minimum.

we get the extreme value as zero of the first derivative :

0 = 2x - 4

4 = 2x

x = 2

so, we get the minimum of all these expressions for x = 2.

as y = -3x, we get y = -3×2 = -6.

the minimum value for the expression is with

x = 2

y = -6

so, the minimum value is

sqrt((2 - 8)² + (-6 + 4)²) + |-6 + 3×2| =

= sqrt((-6)² + (-2)²) + |-6 + 6| =

= sqrt(36 + 4) + 0 =

= sqrt(40) = 6.32455532...

Answer:

A = B + 15

Step-by-step explanation:

Let Diane sold B books in one hour,

Additional earning by selling 1 book = 1$

Additional earning by selling B books = Number of books sold × Additional earning by selling one book

= B × ($1.00)

= $B

Fixed earning of Diane in one hour of part time = $15

Total earnings = B + 15

A = B + 15

Table to find the input-output values for the graph,

A      15      16        17      18

B       0        1          2       3

Now we can plot the points on the graph.

Answer:

2 3/16 gallons

Step-by-step explanation:

To make 10 pitchers Johan's mom needs to use 35 cups of lemon juice with the given ratio.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

Number of cups per pitcher= 3 1/2 = 3 + 1/2 = 7/2 cups/pitcher

With this rate, with 10 pitchers,

7/2 x 10 = 35 cups.

Hence "To make 10 pitchers Johan's mom needs to use 35 cups of lemon juice with the given ratio".

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The equation models the height, H, for n bounces, will be H = 920 (0.56)ⁿ.

Consider the function:

y = a (1 ± r) ˣ

Where n is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is a plus sign, then there is exponential growth happening by r fraction or 100r %

If there is a minus sign, then there is exponential decay happening by r fraction or 100r %

Some students performed an experiment in which they dropped a rubber ball from a height of 920 centimeters.

They noticed that after each bounce, it reached 56% of its previous height.

Then the equation models the height, H, for n bounces will be

H = 920 (0.56)ⁿ

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Answer:

pls like if not my mom will die

Step-by-step explanation:

The Solution:

Given:

We are to write an inequality in slope-intercept form for the graph.

By the formula for the equation of a line, we have:

In this case,

Substituting these values, we get

Therefore, the correct answer is:

Answer: 6,001 milliliters

Step-by-step explanation: 6 Liter translates to 6,000 milliliters, which is 1 less than 6,001 milliliters.

Answer:

I believe 6 liters is more.

Answer:

The relationship between the number of faces, vertices, and edges of a three-dimensional object is described by Euler's formula, which states that for any polyhedron (a solid object bounded by flat faces), the number of faces (F), vertices (V), and edges (E) satisfy the equation F + V - E = 2. This formula is true for any convex polyhedron, such as a cube or a regular tetrahedron.

The formula is based on the fact that every face of a polyhedron is bounded by a closed loop of edges, and each vertex is where three or more edges meet. The total number of edges is the sum of the number of edges around each face, which is equal to twice the number of faces since each edge is shared by two faces, and the number of edges meeting at each vertex, which is equal to the degree of the vertex (the number of edges meeting at the vertex).

Therefore, by knowing the number of faces, vertices, and edges of a three-dimensional object, we can determine if it is a convex polyhedron and use Euler's formula to check if the numbers are consistent with a solid shape.

The computation shows that the examples of values that will give the exact value of 45 will be:

It should be noted the information is incomplete as the options aren't given and not properly written.

In this case, the examples will be given:

An example of value that will give 45 will be:

= ✓25 × ✓81

= 5 × 9

= 45

The other examples will be 6 × 9 which will give 45 and ✓9 × 15 which will be 45.

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Answer:107,500

Step-by-step explanation:

250,000/100=2500

2500*43=107,500

The number of 107500 teenagers out of 250,000 would spend 1 hour doing homework on a given night.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

One hundred teenagers are sampled at random about how much time (in hours) they spend doing homework on a given night.

The results are displayed in the graph below.

To find the number of teenagers:

Apply the percentage formula,

43% of 250,000

= 0.43 x 250000

= 107500

Therefore, the required number of teenagers are 107500.

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Length of gz = 12 units

Length of ot = 14.4 units

Given,

Triangle EGD with centroid at Z .

Now,

As we know that centroid divides the line segment in the ratio 2:1 .

Firstly calculate the length of gz,

gu = 18 unit

gz:zu = 2:1

gz = 2/3  * 18

gz = 12 units .

Secondly calculate the length of ot,

zt = 4.8 units

oz:zt = 2:1

oz = 4.8 * 2

oz = 9.6 units

ot = 9.6+ 4.8

ot = 14.4 units

Hence with the centroid length of ot and gz can be found out .

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To find the value of Az in the geometric sequence, we can use the given information. The geometric sequence is represented as follows: A3, 60, 160, 06 = 9.

From this, we can see that the third term (A3) is 60 and the common ratio (r) is 160/60.

To find Az, we need to determine the value of the nth term in the sequence. In this case, we are looking for the term with the value 9.

We can use the formula for the nth term of a geometric sequence:

An = A1 * r^(n-1)

In this formula, An represents the nth term, A1 is the first term, r is the common ratio, and n is the position of the term we are trying to find.

Since we know A3 and the common ratio, we can substitute these values into the formula:

60 =\(A1 * (160/60)^(3-1)\)

Simplifying this equation, we have:

\(60 = A1 * (8/3)^260 = A1 * (64/9)\)

To isolate A1, we divide both sides of the equation by (64/9):

A1 = 60 / (64/9)

Simplifying further, we have:

A1 = 540/64 = 67.5/8.

Therefore, the first term of the sequence (A1) is 67.5/8.

Now that we know A1 and the common ratio, we can find Az using the formula:

Az = A1 * r^(z-1)

Substituting the values, we have:

Az =\((67.5/8) * (160/60)^(z-1)\)

However, we now have the formula to calculate it once we know the position z in the sequence.

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