The answers..............................

D=mv

Divide both sides by m to get

d/m=v :D

The number of strawberry baskets sold was 44

Step-by-step explanation:

Let

x ----> the number of strawberry baskets sold

y ---> the number of raspberries baskets sold

we know that

In one morning, Katya sells 96 baskets for $644

so

----> equation A

---> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (44.52)

see the attached figure

therefore

The number of strawberry baskets sold was 44 and the number of raspberries baskets sold was 52

Hope i helped! :)

(0, 0, 1) is not in the orthogonal complement of X. Then the given statement is false.

Orthogonal complements comprise topological spaces that are perpendicular to each other. The orthogonal counterpart of a subset, regardless of how that is selected, is a domain, that is, a set bounded in terms of taking different combinations. Proposition Assume that is a vector space.

Consider {(0, 0, 1), (0, 1, 1), (1, 1, 1)}

Clearly {u, v, w} is linearly independent .

Let X = span {v, w}

Clearly, a vector v is an orthogonal complement of X. If

<v, x> = 0 ∀ x ∈ X

Here, in R³ we can take the dot product as the inner product.

Consider (0, 1, 1), clearly (0, 1, 1) ∈ X take u·v that is (0, 0, 1)·(0, 1, 1) will be

→ 1 ≠ 0

Therefore, (0, 0, 1) is not in the orthogonal complement of X. Hence, the given statement is false.

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Answer:

a) No because the gallons and quarts of oil you and your friend bought is proportional.

b) Yes because the gallons and quarts of oil are no longer proportional.

c) 1 gallon of gasoline = $3.55

   1 quart of oil = $5.00

Step-by-step explanation:

Let g = cost per gallon of gasoline

Let q = cost per quart of oil

a)  Creating expressions from the given information:

10g + 2q = 45.50

5g + q = 22.75

From inspection, we can see that if we multiply the second equation by 2, it will give us the first equation.  Therefore, they are proportional and we cannot determine the variables.

b) Creating expressions from the given information:

10g + 2q = 45.50

5g + q = 22.75

8g + 2q = 38.40

From inspection, we can see that the third equation is not proportional to equations 1 and 2.  Therefore, we can use this equation with either of the other equations to determine the variables.

c)

Using equations 2 and 3 from the previous part (b):

5g + q = 22.75

8g + 2q = 38.40

Rewrite 5g + q = 22.75 to make q the subject:

⇒ q = 22.75 - 5g

Substitute into 8g + 2q = 38.40 and solve for g:

⇒ 8g + 2(22.75 - 5g) = 38.40

⇒ 8g + 45.5 - 10g = 38.40

⇒ 2g = 7.1

⇒ g = 3.55

Substitute found value for g into q = 22.75 - 5g and solve for q:

⇒ q = 22.75 - (5 x 3.55)

⇒ q = 5

Given:

The logarithmic expression is:

\(\log_718\)

To find:

The equivalent expression of given expression by using change-of-base formula.

Solution:

The change-of-base formula is:

\(\log_ba=\dfrac{\log_ca}{\log_cb}\)

The given expression is:

\(\log_718\)

Using the change-of-base formula, we get

\(\log_718=\dfrac{\log_c18}{\log_c7}\)

Where, is a constant and c>0.

Let \(c=10\), then

\(\log_718=\dfrac{\log_{10}18}{\log_{10}7}\)

Therefore, the correct option is a.

The given expression "the square of a number is 3 less than four times the number" is represented as x² = 3 - 4x and the values of number could be: x1= 0.645 , x2= -4.645

In mathematics, when we refer "square of a number" we mean that the exponent of that number is 2. So we express it mathematically as:

x²

When we express "3 less than" of a number we mean that the number 3 is subtracting that number. So we express it mathematically as: 3 -

x² = 3 -

When we express "four times the number" we mean that the number is exactly 4 times greater than a number or that it contains it 4 times. So we express it mathematically as: 4x

x² = 3 - 4x

Organizing the values, we have a quadratic equation: x² + 4x – 3 = 0

Where:

Solving the quadratic question we get the values for the (x) number

x= {- b ± √ [b² - (4* a*c)]} / (2 *a)

x= {- 4 ± √ [4² - (4* 1*-3)]} / (2 * 1)

x= {- 4 ± √ (16 + 12)} / 2

x= {- 4± √ 28} / 2

x= (- 4 ± 5.29 ) / 2

x1= (- 4 + 5.29 ) / 2

x1= (1,29) / 2

x1= 0.645

x2= (- 4 - 5.29 ) / 2

x2= (9.29) / 2

x2= -4.645

We can check the values, replacing them into the equation:

(x1)² = 3 - 4(x1)

(0.645)² = 3 - 4*(0.645)

0.42 = 0.42

(x2)² = 3 - 4(x2)

(-4.645)² = 3 - 4*(-4.645)

21.58 = 21.58

It is an algebraic equation where the polynomial formed has three terms, one variable has an exponent 2, another in which the variable has exponent 1 and the last term without any variable. Its standard form is:

ax²+ bx + c = 0

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Answer:

PQ = 6 units

Step-by-step explanation:

note that the y- coordinates of P and Q are both - 7

then PQ is the difference in the x- coordinates, that is

PQ = | 7 - 1 | = | 6 | = 6

or PQ = | 1 - 7 | = | - 6 | = 6

After solving,  41.67 Hz wing beats the dragonfly performs per second.

In the given question, if the video is shot at 190 frames per second, then we have to find how many wing beats the dragonfly performs per second.

From the given question,

Frames per one wing beat = 6 frames

Video shot at = 250 frames per second

We firstly find the time period

So, Time period (T) = 6/250

T= 0.024 s

Snce we have to find how many wing beats the dragonfly performs per second.

Per second number of wing beats = 1/T

Per second number of wing beats = 1/0.024

Per second number of wing beats = 41.67 Hz

Hence, 41.67 Hz wing beats the dragonfly performs per second.

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The right question is;

A frame by frame analysis of a slowmotion video shows that a hovering dragonfly takes 6 frames to complete one wing beat.

If the video is shot at 190 frames per second, how many wing beats does the dragonfly perform per second?

Answer:

m∠D = 49°
m∠E = 41°
m∠F = 90°

Step-by-step explanation:

        We know a triangle's angles add up to 180, so we can create an equation and solve for x. We also know the little box represents 90 degrees.

Given:

        90° + 5x° + 14° + 3x° + 20° = 180°

Combine like terms:

        8x° + 124° = 180°

Subtract 124 from both sides of the equation:

        8x° = 56°

Divide both sides of the equation by 8:

        x = 7

        Now, we will plug this value of x back into the angles to solve. Again, the little box represents that Angle F is equal to 90 degrees.

m∠D = 5x° + 14° = 5(7)° + 14° = 49°
m∠E = 3x° + 20° = 3(7)° + 20° = 41°
m∠F = 90°

Answer:

1 1/3 - 5/6 = 1/2

Step-by-step explanation:

First we will need to make a common denominator on both sides, so since we have the second side divided in six, we can do the same to the first side as shown;

1/3 = 2/6

now this will help us a lot, now all we have to do is take what we can out of the fraction (2/6) out of the first side so it is equal to 0, NOTE this is not a professional way to do it but it helps me a lot;

5/6 - 2/6 = 3/6

this makes it easy all of a sudden, cause now its in a simpler form, we can tell this because we know that 3/6 is equal to 1/2, so now all we have to do is take 1/2 from our 1 that we are left over with, and VWOLA;

1 - 1/2 = 1/2

GRAND TOTAL;

1 1/3 - 5/6 = 1/2

(note: the space between the 1 and the 1/3 indicates that they are two separate numbers, so you dont have to put the 'and' there)

Answer:

what could be written?

Answer:

The correct answer is 7¹⁰

Step-by-step explanation:

I think you wrote 1.7 because i wrote 1. 7¹⁰

but I meant that 1. as the first question i was answering, sorry if I wasn't clear

In a hash table of size 6 with chaining, the keys 31, 32, and 19 will be placed in the table as follows:

Key 31: The hash value of 31 will be calculated using a hash function, which will generate a value between 0 and 5. Let's assume that the hash function generates a value of 1 for key 31. The value 31 will be placed in the linked list at index 1 of the hash table.

Key 32: The hash value of 32 will be calculated using the same hash function, which may generate a value different from 1. Let's assume that the hash function generates a value of 3 for key 32. The value 32 will be placed in the linked list at index 3 of the hash table.

Key 19: The hash value of 19 will be calculated using the same hash function, which may generate a value different from 1 and 3. Let's assume that the hash function generates a value of 0 for key 19. The value 19 will be placed in the linked list at index 0 of the hash table.

The evolution of the hash table for each key placement can be illustrated as follows:

Initially, the hash table is empty:
| | | | | | |

After placing key 31 in index 1:
| |31| | | | |

After placing key 32 in index 3:
| |31| |32| | |

After placing key 19 in index 0:
|19|31| |32| | |

As you can see, the values are placed in the linked lists at the respective indices of the hash table. This allows for efficient retrieval of values based on their keys, as the hash table can quickly locate the linked list where the value is stored.

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Answer:

C. The reciprocal

I hope this helps!

Answer:

C the reciprocal I used process of elimination honestly

Step-by-step explanation:

Rounding to the nearest tenth, the area of the triangular windowpane is approximately 8.2 square feet.

To find the area of a triangular windowpane, we need to use the formula for the area of a triangle, which is:

Area = (1/2) x Base x Height

In this case, the base is 4 feet 8 inches and the height is 3 feet 6 inches. However, we need to convert these measurements to the same units before we can calculate the area. Since there are 12 inches in 1 foot, we can convert the measurements as follows:

Base = 4 feet + 8 inches/12 = 4.67 feet

Height = 3 feet + 6 inches/12 = 3.5 feet

Now we can plug in these values into the formula and calculate the area:

Area = (1/2) x 4.67 feet x 3.5 feet

Area = 8.1675 square feet

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Answer:

yes -2 is the correct answer

Step-by-step explanation:

7x+3=-17-3x

7x+3x=-17-3

10x=-20

x=-20/10

x=-2

Answer:

\(\boxed{\bold{\huge{\boxed{\sf Yes.}}}}\)

Step-by-step explanation:

=> \(\sf 7x+ 3 = -17-3x\)

Combining like terms

=> \(\sf 7x+ 3x = -17-3\)

=> \(\sf 10x = -20\)

Dividing both sides by 10

=> \(\sf x = -2\)

So, -2 is a solution of the given equation.

Answer:

C

Step-by-step explanation:

1/18 x³y + 7/18 xy²

1/18 xy (x² + 7y)

Answer:

see attached

Step-by-step explanation:

Answer:

(three eighths) * 64 =

twenty-four

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

Answer:

U have selected the correct answer..... Option 3rd is the correct

Answer:

you're correct babe <3 (im normally like this pls don't get creeped out, i have a flirty personality and am a minor) also are you in 3rd grade- i learned that back then

Step-by-step explanation:

Answer:

1. No, Lin is incorrect. If you change both numbers to regular notation, you get that Panama has 4,000,000 residents, and Thailand has 70,000,000 residents. 4 million times 20 is 80 million, not 70 million.

2. 10^8. You need to put 10 to the 8th power because 1 × 10^7 is too little, so it is the next power to use that isn't too small

3. Label each increment 10^7, 2 × 10^7, 3 × 10^7... 9 × 10^7, 10^8.

4. Panama's point would be located 2/5 of the way between 0 and 10^7. Peru's point would be located 1/5 of the way between 3 × 10^7 and 4 × 10^7. Thailand's point would be located right on 7 × 10^7.

*There are files attached for both steps 3 and 4 if you need help visualizing.

The dual for the given linear programming problems are as follows:

(i) Minimize Z' = 10a + 12b Subject to: a + 7b ≥ 3 2a + 3b ≥ 4 a + 9b ≥ 5 a, b ≥ 0.

(ii) Maximize Z' = 5a + 6b + 2c Subject to: 3a + 2b + c ≤ 1 4a + 6b + c ≤ 2 a + b ≤ 0 a, b, c ≥ 0.

In the first problem, we have a maximization problem with three variables (x, y, z) and two constraints. The dual formulation involves minimizing a new objective function with two variables (a, b) and four constraints. The coefficients of the variables and the constraints are transformed according to the rules of duality.

The primal problem is:

Maximize Z = 3x + 4y + 5z

Subject to:

x + 2y + z ≤ 10

7x + 3y + 9z ≤ 12

x, y, z ≥ 0

To find the dual, we introduce the dual variables a and b for the constraints:

Minimize Z' = 10a + 12b

Subject to:

a + 7b ≥ 3

2a + 3b ≥ 4

a + 9b ≥ 5

a, b ≥ 0

In the second problem, we have a minimization problem with two variables (y1, y2) and three constraints. The dual formulation requires maximizing a new objective function with three variables (a, b, c) and four constraints. Again, the coefficients and constraints are transformed accordingly.

The primal problem is:

Minimize Z = y1 + 2y2

Subject to:

3y1 + 4y2 > 5

2y1 + 6y2 ≥ 6

y1 + y2 ≥ 2

To find the dual, we introduce the dual variables a, b, and c for the constraints:

Maximize Z' = 5a + 6b + 2c

Subject to:

3a + 2b + c ≤ 1

4a + 6b + c ≤ 2

a + b ≤ 0

a, b, c ≥ 0

The duality principle in linear programming allows us to find a lower bound (for maximization) or an upper bound (for minimization) on the optimal objective value by solving the dual problem. It provides useful insights into the relationships between the primal and dual variables, as well as the economic interpretation of the problem.

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Answer:

check in my page someone will answer it for me

Step-by-step explanation:

then you get your answer

Answer:C=d/ab

Step-by-step explanation:

D=abc

D/ab=abc/ab (both side divided by ab)

Ab cancel by ab and c= d/ab remains

The solution of the given equation D = ABC for C will be D/(AB).

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

The equation must be constrained with some constraints.

As per the given equation,

D = ABC

The value of the above equation for C will be as,

D = (AB)C

C = D/(AB)

Hence "The solution of the given equation D = ABC for C will be D/(AB)".

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a. Since the mean of Y is 100 and the variance is 64, we can calculate the standard deviation by taking the square root of the variance, which is 8. We can now apply this to Z by calculating Z as Z = [1/SQRT(64)] * (y-100), which simplifies to Z = 1/8 * (y-100). Since the mean of Y is 100, we can substitute this value in for y to get Z = 0.
b. To show that (SIGMA)z2 = 1, we need to calculate the summation of the squares of the individual values of Z. In this case, since the mean is 100, the only value of Z is 0. Therefore, the summation of the squares of Z is 02, which is equal to 0. This means that (SIGMA)z2 = 0, which does not equal 1.

To show that (SIGMA)z2 = 1, we need to look at the definition of the variance of Y, which is the summation of the squares of the individual values of Y minus the mean of Y, all divided by the number of values. We can rewrite this as (SIGMA)y2 - 1002 / n, where n is the number of values. Since we only have one value of Y, the number of values is equal to 1. We can therefore rewrite this as (SIGMA)y2 - 1002, and since the mean of Y is 100, this simplifies to (SIGMA)y2 - 1002 = (SIGMA)y2 - 100. We can now substitute Z = 1/8 * (y-100) into this equation, which gives us (SIGMA)z2 = (SIGMA)(1/8 * (y-100))2 = (SIGMA)(1/64) * (y-100)2 = (SIGMA)(1/64) * y2 - (1/64) * 2*100y + (1/64) * 1002. Simplifying this equation gives us (SIGMA)z2 = (SIGMA)(1/64) * y2 - 1. Since we only have one value of y, this equation simplifies to (SIGMA)z2 = (1/64) * 1002 - 1, which is equal to 1. Therefore, (SIGMA)z2 = 1.

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To determine the number of hex digits required to represent decimal numbers up to 1,999, we need to find the largest decimal number within that range and convert it to hexadecimal representation.

The largest decimal number within the range is 1,999. To convert it to hexadecimal, we divide it by 16 repeatedly until the quotient is 0, and then concatenate the remainders in reverse order.

1,999 divided by 16 gives a quotient of 124 and a remainder of 15 (F in hexadecimal representation).

124 divided by 16 gives a quotient of 7 and a remainder of 12 (C in hexadecimal representation).

7 divided by 16 gives a quotient of 0 and a remainder of 7 (7 in hexadecimal representation).

Thus, 1,999 in hexadecimal representation is 7CF. It requires three hex digits (7, C, F) to represent 1,999.

To calculate the number of bits required, we need to know the number of bits in one hex digit. Since each hex digit represents 4 bits, three hex digits would represent 3 * 4 = 12 bits.

Therefore, to represent decimal numbers up to 1,999, three hex digits are required, and it would take 12 bits.

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