If an area can be washed at a rate of 2,700 cm2/minute, how many square inches can be washed per hour? Enter your answer with the correct number of significant digits. Use the equivalent measures indicated. (1 centimeter ≈ 0.39 inch, 1 hour = 60 minutes)

The correct pairs of angles in the figure which are vertical angles is,

⇒ ∠AKC and ∠TKI

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

To find correct pairs of angles in the figure which are vertical angles.

Now, By definition of vertical opposite angle,

We get;

The correct pairs of angles in the figure which are vertical angles is,

⇒ ∠AKC and ∠TKI

Thus, The correct pairs of angles in the figure which are vertical angles is,

⇒ ∠AKC and ∠TKI

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The electric field midway between two point particles is 12.3 N/C.

Let the electric filed due to change 8x10^-9 be E1.

Then,

E1 = k.q/r²

k = 9 x 10^9

q = 8x10^-9

r = 4/2 = 2 m

E1 = 9 x 10^9 x 8x10^-9 / 2²

E1 = 18 N/C

Similarly,

Let the electric filed due to change -2x10^-9 be E1.

Then,

E2 = k.q/r²

k = 9 x 10^9

q = -2x10^-9

r = 4/2 = 2 m

E2 = 9 x 10^9 x -2x10^-9 / 2²

E2 = 4.5 N/C

Thus, due to opposite nature of the charges, they net filed will be obtained by subtracting the filed.

E (total) = E1 - E2

E (total) = 18 - 4.5

E (total) = 13.5 N/C

Thus, the electric field midway between two point particles is 12.3 N/C.

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Answer:

18

Step-by-step explanation:

=(

48

1

)(

3

8

)

=

(48)(3)

(1)(8)

=

144

8

=18

If the nex day, the biologist retums to the lake and takes a sample of 7 fish. Of those fish, 2 of them have tags. The estimated number of fish in the lake is 35 fish.

Let x represent the estimated number of fish in the lake

Hence,

x /10 = 7/2

Cross multiply

2x = 10 × 7

2x = 70

Divide both side by 2x

x =70/2

x = 35 fish

Therefore 35 is the number of fish.

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Based on the steps for solving the equation, a true statement include the following: A. there are infinitely many solutions to the equation.

In Mathematics, no solution is sometimes referred to as zero solution, and an equation is said to have no solution when the left hand side and right hand side of the equation are not the same or equal.

In Mathematics, an equation is said to have an infinitely many solution when the left hand side and right hand side of the equation are the same or equal:

3x - 9x + 1 = 2(-3x + 1) - 1

-6x + 1 = -6x + 2 - 1

-6x + 1 = -6x + 1

When x = 1, we have:

-6(1) + 1 = -6(1) + 1

-5 = -5.

When x = 2, we have:

-6(2) + 1 = -6(2) + 1

-11 = -11.

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Six and 3 over 5

Step-by-step explanation:

Add whole number first

2 plus 4 equal to 6

2 plus 1 equal to 3

3 plus 2 equal 5.

Therefore Ans equal six three over five

Answer:

7 cups

Step-by-step explanation:

convert 2/3 and 1/2 into 4/6 and 3/6 then and 12/6 to 3/6 and 24/6 to 3/6 to get 15/6 and 27/6 add them together to get 42/6 and convert to whole number to get 7 cups

Answer:

(90 km/h)(3 hours) = 270 km

Yes,  This is established by the Rank-Nullity Theorem, A counter-example would be a transformation that is not linear.

Yes, all linear transformations have a matrix representation. The theorem that establishes this is the Matrix Representation Theorem. This theorem states that given a linear transformation T : V → W where V and W are vector spaces over a field F, then there is a unique matrix A such that T(v) = Av for any v in V. This theorem proves that any linear transformation can be represented by a matrix.

A counter-example of a linear transformation that does not have a matrix representation is a transformation that maps a vector in one vector space to a vector in a different vector space. For example, if V is a vector space over the field F, and W is a vector space over another field K, then the linear transformation T : V → W does not have a matrix representation since the size of the matrix would need to be different for each vector in the different vector spaces.

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Answer:

2

Step-by-step explanation:

Answer:X= 6X-14

Step-by-step explanation:

Answer:

The answer is 63 2/5

Step-by-step explanation:

Converting to mixed numbers divide 317 by 5.

5 goes into 31 at most 6 times and 5 goes into 17 at most 3 times.

The quotient of 317/5 is 63 with remainder of 2, so answer is 63 2/5.

The measures of m∠3 and m∠6 is equal to 60°.

What are Parallel Lines?

Given that, the line m is parallel to line n.

Also, m∠3 = (7x-10)° and m∠6 = (5x + 10)

Since, the lines m and n are parallel, we have

m∠3 = m∠6

⇒ 7x - 10 = 5x + 10

⇒ 7x - 5x = 10 + 10

⇒ 2x = 20

⇒ x = 10

So, we get m∠3 as

m∠3 = 7 (10) - 10

⇒ m∠3 = 60°

Also, we get m∠6 as

m∠6 = 5 (10) + 10

⇒ m∠6 = 60°

Therefore, the measures of m∠3 and m∠6 is equal to 60°.

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using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

The position vector of point P, MP, is given by MP = 6i - j.

To find the position vector of point P, which is the midpoint of NO, we can use the midpoint formula.

The midpoint formula states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is given by:

Midpoint (Mᵖ) = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

Let's find the position vector of point P using the given information:

Point N: N = 4i - 5j

Point O: O = 8i + 3j

Using the midpoint formula, we can find the coordinates of point P:

x-coordinate of P: (x₁ + x₂) / 2 = (4i + 8i) / 2 = 12i / 2 = 6i

y-coordinate of P: (y₁ + y₂) / 2 = (-5j + 3j) / 2 = -2j / 2 = -j

Therefore, the position vector of point P, MP, is given by:

MP = 6i - j

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Answer: Heads is more likely than tails since a 3 is more likely from 1 die than the sum of the results of 2 dice

1/4s

Step-by-step explanation:

Multiply 1/4 with s

Answer:

1/4s

Step-by-step explanation:

x 1/4 by s

She has 21 coins of $1 and 11 coins of $2 with total value of 43 Canadian Dollars.

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e. a and b respectively, are not equal to zero.

For example:

1. 5X + 3Y = 12

2. 6X + 4Y = 14

To find the solution of Linear equation we use Substitution method, Elimination method etc.

Here, we have given that:

Total coins are 32 and $43 Canadian dollar.

Now, let assume that she has 'X' coins of $1 and 'Y' coins of $2.

the first equation will be:

X + Y = 32            ----- ( i )

now the second equation will be:

X + 2Y = 43         ------ ( ii )

Now, using Substitution method,

put value of X from equation ( i ) into equation ( ii )

X = 32 - Y          ------ ( iii )

32 - Y + 2Y = 43

Y = 11

put value of Y in equation ( iii )

X = 32 - 11

X = 21

Hence,

She has 21 coins of $1 and 11 coins of $2 with total value of 43 Canadian Dollars.

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An equation that models the trigonometric graph is:

y = 4 sin 4x

The general form for an equation that models a wave is this:

±a (sin/cos) (2π(x - p)/T)

where:

a is the amplitude

p is the phase shift

T is the period.

The ±ve will turn into +ve if the graph tends to start from the positive direction, and then turns -ve if it the graph tends to start from the negative direction.

The (sin/cos) will definitely become sine if the graph starts at 0 before it is being shifted. Then, it becomes cosine if the graph begins at the amplitude.

In this problem, we see that the graph begins as positive, and then at the amplitude with no phase shift, we see that the ±ve becomes +ve, (sin/cos) becomes sin, and p becomes zero. Plugging in the given values  in the problem, we see that a = 4 and T = π/2.

We see that this equation becomes:

y = 4sin(2πx/(π/2)).

y = 4 sin 4x

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Answer:

34 dollars

Step-by-step explanation:

4(6)+10

24+10

=

34

Given the equation:

Let's find the time it takes the ball to return to the ground.

When the ball returns to the ground, the height, = 0.

Hence, to find the time it takes the ball to return to the ground, substitute 0 for h and solve for t:

Solving further:

Re-arrange the equation

Factor out -4t:

We have the individual factors:

Solve each equation for t:

For the second factor:

Therefore it will take 3.75 seconds for the ball to return to the ground.

ANSWER:

3.75 seconds

The mid point of the line segment is (0, 2)

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.

Therefore, the mid point of a line segment can be represented as follows:

m = (x₁ + x₂ / 2, y₁ + y₂ / 2)

Hence,

(-4, 6)(4, -2)

Therefore,

x₁ = -4

x₂ = 4

y₁ = 6

y₂ = -2

Hence,

m = (-4 + 4 / 2, 6 -2 / 2)

m = (0/2, 4 / 2)

m = (0, 2)

Therefore,

mid point = (0, 2)

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Answer:

800 books

problem solving steps：

adults:60%

young people:5%

children=100%-60%-5%

=35%

35%=280 books

1%=280÷35

=8

100%=800

so,there are 800 books

Answer:

746

Step-by-step explanation:

112 dividir 15

Y por el resultado lo multiplicas x 100

y esas va ser tu respuesta

Step-by-step explanation:

Answer:

x>_-1

Step-by-step explanation:

x is such that x is greater or equal to -1

Growth rate from part (a) is smaller than (19.4 million people) the growth rate from part (b). Comparatively (b) is greater than (a).

(a) Given, 1930 → 123.1 million people

1940 → 132.1 million people

Compare 2 years (1930 and 1940) = 10 years

132.1 - 123-1 = 9.0 millions

1930-1940 = 9.0 million people.

(b) Given, 1950 → 152.3 million people

1960 → 180.7 million people

Compare 2 years (1950 and 1960) = 10 years

10 years = 180.7-152.3 =28.4 million people

1950 - 1960 = 28.4 million people.

Now, Compare different results, the Growth rate from part (a) is smaller than (19.4 million people) the growth rate from part (b).

Therefore, the growth rate of (b) is greater than (a).

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The two times Tyler selects a shirt from the suitcase are independent events.

The probability that he selects a short-sleeved shirt both times is 9/16.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Number of shirts = 8

Number of short sleeves = 6

The shirts are replaced after selecting one to select the other shirt.

The two times Tyler selects a shirt from the suitcase are independent events

The probability that he selects a short-sleeved shirt.

= 6 / 8

= 3/4

The probability that he selects a short-sleeved shirt both times.

= 3/4 x 3/4

= 9/16

Thus,

The two times Tyler selects a shirt from the suitcase are independent events.

The probability that he selects a short-sleeved shirt both times is 9/16.

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The complete question is:

Tyler packed 8 shirts for a trip. Six of the shirts are short-sleeved. He randomly selects a shirt from his suitcase, replaces the shirt, and then selects another.

The two times Tyler selects a shirt from the suitcase are __________ events.

The probability that he selects a short-sleeved shirt both times is ________.

options for blank 1: independent, dependent

options for blank 2 :15/28, 9/16, 3/4, 9/14