17 cm/min=________m/h

Hey there! Johnny Sins always here to help,

To find out what score Natasha needs to earn on her next test, we can use the following formula:

Average = (sum of all scores) / number of scores

Let's call the score Natasha needs to earn on her next test "x".

Her average so far is:

Average = (94 + 89 + 88 + 92 + 85) / 5 = 90

Her average after her next test will be:

Average = (94 + 89 + 88 + 92 + 85 + x) / 6

Now, we need to set this equal to 90% and solve for x:

90 = (94 + 89 + 88 + 92 + 85 + x) / 6

90 * 6 = (94 + 89 + 88 + 92 + 85 + x)

540 = (94 + 89 + 88 + 92 + 85 + x)

x = 540 - (94 + 89 + 88 + 92 + 85)

x = 540 - 448

x = 92

So, Natasha needs to earn a 92% on her next test to average at least 90%.

_________________________________________________________

No problem for the answer, be sure o give a 5 stars and thanks,

Johnny Sins

Answer:

it is b or 20,000 or it is the base salary, you can put all 3 to be safe since they are all technichaly the same.

Step-by-step explanation:

so y=mx+B is the equation right here m the slope which is rise over run or y/x=.1 and B is the y inercept and 20,000 it is the starting point on the graph. where it overlaps with the y axis, in this case 20,000 which as it says earlier is his base salary

Answer:

17

Step-by-step explanation:

By taking the average number of eggs for both barns, we will see that the correct option is A.

For a set of N elements {x₁, x₂, ..., xₙ} the mean is given by:

\(M = \frac{x_1 + x_2 + ... + x_n}{N}\)

For barn 1, the set is {2, 5, 5, 6}

So the mean is:

M1 = (2 + 5 + 5 + 6)/4 = 4.5

For the barn 2, the set is {3, 6, 8, 9}

So the mean is:

M2 = (3 + 6 + 8 + 9)/4 = 6.5

Now, taking the quantity 100%(M2 - M1)/M1 we get:

100%*(6.5 - 4.5)/4.5 = 44%

So the average in barn 2 is around 50% larger than the average in barn 1. Then the correct option is A.

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The solution to the given initial value problem, obtained using Laplace transforms, is y(x) = 0. This means that the function y(x) is identically zero for all values of x.

To find the solution of the initial value problem using Laplace transforms for the equation d²y/dx² + 9y = 9sin(t)u(t - 3), where y(0) = y'(0) = 0, we can follow these steps:

Take the Laplace transform of the given differential equation.

Applying the Laplace transform to the equation d²y/dx² + 9y = 9sin(t)u(t - 3), we get:

s²Y(s) - sy(0) - y'(0) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Since y(0) = 0 and y'(0) = 0, the Laplace transform simplifies to:

s²Y(s) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))

Solve for Y(s).

Combining like terms, we have:

Y(s) * (s² + 9) = 9 * (1/s² + 1/(s² + 1))

Multiply through by (s² + 1)(s² + 9) to get rid of the denominators:

Y(s) * (s⁴ + 10s² + 9) = 9 * (s² + 1)

Simplifying further, we have:

Y(s) * (s⁴ + 10s² + 9) = 9s² + 9

Divide both sides by (s⁴ + 10s² + 9) to solve for Y(s):

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9)

Partial fraction decomposition.

To proceed, we need to decompose the right side of the equation using partial fraction decomposition:

Y(s) = (9s² + 9)/(s⁴ + 10s² + 9) = A/(s² + 1) + B/(s² + 9)

Multiplying through by (s⁴ + 10s² + 9), we have:

9s² + 9 = A(s² + 9) + B(s² + 1)

Equating the coefficients of like powers of s, we get:

9 = 9A + B

0 = A + B

Solving these equations, we find:

A = 0

B = 0

Therefore, the decomposition becomes:

Y(s) = 0/(s² + 1) + 0/(s² + 9)

Inverse Laplace transform.

Taking the inverse Laplace transform of the decomposed terms, we find:

L^(-1){Y(s)} = L^(-1){0/(s² + 1)} + L^(-1){0/(s² + 9)}

The inverse Laplace transform of 0/(s² + 1) is 0.

The inverse Laplace transform of 0/(s² + 9) is 0.

Combining these terms, we have:

Y(x) = 0 + 0

Therefore, the solution to the initial value problem is:

y(x) = 0

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The algebraic expression to find the cost of the gym membership for 6 months is given by 25+6×14.

An algebraic expression is one that has been constructed using integer constants, variables, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c. Any mathematical operation that involves variables, such as addition, subtraction, multiplication, or division, can have its solutions calculated using algebraic expressions. Monomial, binomial, and polynomial expressions are the three different categories of algebraic expressions.

Given, the cost of joining membership = $25

The cost of each month = $14

Cost of 6 months = 6 multiplied by 14

Cost of gym membership for 6 months = 25+6×14

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Answer: 3.0

Step-by-step explanation:

Answer:

|5.385|

Step-by-step explanation:

\(\sqrt{((-9)-(-4))^2 + ((-3)-(-1))^2\) =

\(\sqrt{(-5)^2 + (-2)^2\) =

\(\sqrt{25 + 4\) =

\(\sqrt{29\) =

|5.385|

The solution for the differential equation 16 y = 2 ( t − 3 ) u 3 ( t ) − 2 ( t − 4 ) u 4 ( t ) using Laplace theorem is  (1/2)t - (1/4)sin(4t) -  (1/4)e³ᵗu₃(t) + (1/4)e⁴ᵗu₄(t).

To apply the Laplace transform to the given differential equation, we first take the Laplace transform of both sides of the equation, using the linearity of the Laplace transform and the derivative property:

L{y''(t)} + 16L{y(t)} = 2L{(t-3)u₃(t)} - 2L{(t-4)u₄(t)}

where L denotes the Laplace transform and uₙ(t) is the unit step function defined as:

uₙ(t) = 1, t >= n

uₙ(t) = 0, t < n

Using the Laplace transform of the unit step function, we have:

L{uₙ(t-a)} = e-ᵃˢ / ˢ

Now, we substitute L{y(t)} = Y(s) and apply the Laplace transform to the right-hand side of the equation:

L{(t-3)u₃(t)} = e-³ˢ / ˢ²

L{(t-4)u₄(t)} = e-⁴ˢ / ˢ²

Therefore, the Laplace transform of the differential equation becomes:

s²Y(s) - sy(0) - y'(0) + 16Y(s) = 2[e-³ˢ / ˢ²- e-⁴ˢ / ˢ²

Since y(0) = 0 and y'(0) = 0, we can simplify this to:

s²Y(s) + 16Y(s) = 2[e-³ˢ / ˢ² - e-⁴ˢ / ˢ²]

Now, we can solve for Y(s):

Y(s) = [2/(s²(s²+16))] [e-³ˢ - e-⁴ˢ / ˢ²]

We can now use partial fraction decomposition to express Y(s) as a sum of simpler terms:

Y(s) = [1/(4s²)] - [1/(4(s²+16))] - [1/(4s)]e-³ˢ + [1/(4s)]e-⁴ˢ

Now, we can take the inverse Laplace transform of each term using the table of Laplace transforms:

y(t) = (1/2)t - (1/4)sin(4t) - (1/4)e³ᵗu₃(t) + (1/4)e⁴ᵗu₄(t)

Therefore, the solution to the differential equation with initial conditions y(0) = 0 and y'(0) = 0 is:

y(t) = (1/2)t - (1/4)sin(4t) -  (1/4)e³ᵗu₃(t) + (1/4)e⁴ᵗu₄(t).

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Answer:

1 4/5 miles :)

Step-by-step explanation:

We first need to get them at a common denominator :)

4 1/2 = 4 5/10

2 3/5 = 2 6/10

Now we subtract :)

4 5/10 = 3 14/10

3 14/10 - 2 6/10 = 1 8/10 = 1 4/5

Have an amazing day!!

Please rate and mark brainliest!!

Nance still needs to ride 1 and 9/10 miles to reach her friend's house.

Speed is a measure of how quickly an object moves from one place to another. It is defined as the distance traveled by an object per unit of time, and is often represented by the symbol "v". The formula for speed is:

Speed = Distance/Time

Nance is riding her bike to a friend's house that is 4 and 1/2 miles away. She has already ridden 2 and 3/5 miles. To find out how much farther she needs to ride, we can subtract the distance she has already ridden from the total distance:

Total distance = 4 and 1/2 miles

Distance already ridden = 2 and 3/5 miles

Total distance - Distance already ridden

4 and 1/2 - 2 and 3/5 = 9/2 - 13/5 (we need to get a common denominator)

= (45/10) - (26/10)

= 19/10

Therefore, Nance still needs to ride 1 and 9/10 miles to reach her friend's house.

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The correct inequality that describes the problem is 4x ≥ 40. Thus, the correct answer is A.

The answer is A because Ms. Wells is ordering 4 large cheese pizzas, and she expects to spend at least $40 on the pizzas. The inequality 4x ≥ 40 represents the total cost of the pizzas, which is 4 times the cost of each pizza (4x) and should be greater than or equal to $40. This inequality tells us that the total cost of the pizzas is at least $40, which is what Ms. Wells expects.

Option B, 4x > 40x, is incorrect because it doesn't make sense mathematically. The right side of the inequality is 40x, which is not related to the problem, and it also doesn't make sense that each pizza will cost 40 dollars.

Option C, 4x ≤ 40, is incorrect because it represents the total cost of the pizzas as less than or equal to $40, which doesn't match with Ms. Wells' expectation that she expects to spend at least $40 on the pizzas.

This question should be provided with answer choices, which are:

The correct answer is A.

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Answer:

Step-by-step explanation:

31) Multiply the entire equation by the LCM of 5 & 4 which is 20

\(20*\dfrac{2x^{2}}{5}+20*\dfrac{5x}{4}=10*20\\\\4*2x^{2}+5*5x = 200\\\\8x^{2}+25x - 200 = 0\)

B

32) D

By trial & error method 17 * 15 = 255

33) x = 2

y = 4x² + 1

  = 4*2² + 1 = 4*4 + 1

  = 16 + 1

y = 17

B

34) D) all real numbers

35) Domain = all real numbers,

x = -2 ; y = -(-2+2)² - 7 = 0 - 7 = - 7

x = 0 ; y = -(0+2)² - 7 = -4 - 7 = -11

x = 4; y = -(4+2)² - 7 = - 6² -7 = -16 - 7 = - 23

C) y ≤ -7

36) t =  1 second

y = 160t - 40t² = 160*1 - 40*1² = 160 - 40

y = 120 m

C

37)  Let the number be 'x'

x² + x = 165

x² + 4x - 165 = 0

Sum = 4

Product = -165

Factors = 15 , -11      {15*(-11) = -165   & 15+ (-11) = 4}

x² + 15x - 11x - 165 = 0

x(x + 15) - 11(x + 15)=0

(x + 15)(x - 11) = 0

x + 15 = 0   ; x - 11 = 0

x = -15       ; x = 11

C

38) y = 3(x + 1)² - 2

Plugin x = -1   ; y = 3(-1 +1)² - 2 = 0 - 2

                        y = -2

(-1 , -2)

D

39) y = 3(x - 9)²  + 3

Plugin x = 9 ;   y = 3(9-9) + 3 = 0 + 3 = 3

B

Answer:

100(10t-x)

Step-by-step explanation:

factor 100 out from the expression

The length of the missing side (hypothenuse) is equal to 5

"Information available from the question"

Opposite side of the triangle(y) = 3

Adjacent side of the triangle (z)= 4

Hypothenuse side of the triangle = x

Pythagorean Theorem

This formula is used to find the missing side of a right angle triangle if two sides are given.

\(x^{2} =y^2+z^2\)

Let's substitute the values into the formula and solve for the hypothenuse

\(x^{2} =3^2+4^2\)

\(x^{2}\) = 9 + 16

\(x^{2}\) = 25

\(x=\sqrt{25}\)

x = 5

The length of the missing side (hypothenuse) is equal to 5.

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Answer:

-x³ + 3x² - 3x + 1 = -(x-1)³

Step-by-step explanation:

-x³ + 3x² - 3x + 1

= - (x³ - 3x² + 3x - 1)

= -((x³ - 1) - 3x(x - 1))

= -((x-1)(x²+x+1) - 3x(x-1))

= - (x-1) (x² - 2x + 1)

= - (x-1) (x - 1)²

= - (x-1)³

This forest can support approximately 5 people based on its oxygen production.

To find out how many people the forest can support based on the amount of oxygen produced, we will use the given information:

1. The forest produces 970 kg of oxygen per metric ton of wood.
2. The average person breathes 165 kg of oxygen per year.

We'll first calculate the total amount of oxygen the forest produces, and then divide that by the oxygen consumption of one person to find out how many people the forest can support.

Your answer: A forest produces approximately 970 kg of oxygen for every metric ton of wood produced. If the average person breathes about 165 kg of oxygen per year, the number of people this forest can support can be calculated using the following steps:

Step 1: Determine the total amount of oxygen produced by the forest.
Let's assume the forest produces 1 metric ton of wood.
Total oxygen produced = 970 kg of oxygen per metric ton of wood x 1 metric ton of wood = 970 kg of oxygen.

Step 2: Calculate the number of people the forest can support.
\(Number of people =  \frac{Total oxygen produced}{Oxygen consumption per person}\)
\(Number of people =  \frac{ 970 kg of oxygen}{165 kg of oxygen per person}\)
Number of people = 5.88

Since we cannot have a fraction of a person, we round down to the nearest whole number. Therefore, this forest can support approximately 5 people based on its oxygen production.

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Answer:

-3.89 is the farthest, because it has the highest absolute value

Answer:

c. 4x + 20 = 140

Step-by-step explanation:

Perimeter = 140 feet

Width = L + 10

P = 2w + 2L

P = 2(L + 10) + 2L

P = 2L + 20 + 2L

P = 4L + 20

If the number of checks are greater than 25, the Simple Checking plan cost​ less.

We have two checking account plans at Parson's bank.

We have to determine for what number of checks per month will the Simple Checking plan cost​ less.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Let for x number of checks per month the simple checking plan cost less.

For No frills plan -

Charge per check - $0.25

Therefore, for x checks, it will cost - $0.25x

For Simple Checking plan -

Fixed monthly charges - $5

Charges per check - $0.50

Therefore - for x checks - $5 + $0.50x

Now - for Simple Checking plan to cost​ less than No frills plan -

5 + 0.05x < 0.25x

5 < 0.25x - 0.05x

5 < 0.2x

x > 25

Hence, if the number of checks are greater than 25, the Simple Checking plan cost​ less.

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Answer:

A

Step-by-step explanation:

i had the same question when i had honors trust me :> you gut this

Answer:

I belive the first one is 5:7 And the second one is 7:12

Step-by-step explanation:

The values of x, y and z from the triangle are z = 12√2, x = 6 and y = 12

Trigonometrical ratio of angles is used to find the sine, cosine, and tangent of angles in right triangles

The ratios are denoted by SOHCAHTOA

Tan A = Oppo/Adj

Tan 60 = 6√3/x

√3/ 1 = 6√3/x

Cross and multiply to have

x√3/3 = 6√3/√3

x = 6

To find y

First from pyth. rule

6² + (6√3)² = m²

36 + 36*3 = m²

144 = m²

m =√144 = 12

Using tan 45 = 1/1

Tan 45 = y/12

1/1 = y /12

y = 12

To find x w use sine

Sin 45 = 1/√2

1/√2 = 12/x

x = 12√2

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The probability that the taxi was actually blue is 0.61.

Witnesses are right 77% of the time. This means that they are incorrect 23% of the time. Furthermore, 25% of the taxis were blue while the rest were green. Since these are the only two choices, it follows that 75 percent of the taxis are green.

Using Bayes' Theorem, we can calculate the probability that the taxi was blue:

P (Taxi is blue|Witness said it was blue)

P (Witness said it was blue|Taxi is blue)

P (Taxi is blue)

P (Witness said it was blue|Taxi is green)

P (Taxi is green)

To begin, we must determine the probabilities of each of these:

P (Taxi is blue) = 0.25

P (Taxi is green) = 0.75

P (Witness said it was blue|Taxi is blue) = 0.77

P (Witness said it was blue|Taxi is green) = 0.23

To get the result we multiply all of them together:

P (Taxi is blue|Witness said it was blue) = P (Taxi is blue) × P (Witness said it was blue|Taxi is blue) / [P (Taxi is blue) × P (Witness said it was blue|Taxi is blue) + P (Taxi is green) × P (Witness said it was blue|Taxi is green)]P (Taxi is blue|Witness said it was blue) = 0.25 × 0.77 / (0.25 × 0.77 + 0.75 × 0.23)

P (Taxi is blue|Witness said it was blue) = 0.61

Therefore, the probability that the taxi was actually blue is 0.61.

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edge 2020

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

i did it

The rigid motion that verifies the congruence of two triangles using the Side-Angle-Side (SAS) criterion is the combination of a translation and a rotation.

To establish congruence between two triangles using the SAS criterion, we need to show that the triangles have two corresponding sides and the included angle equal in measure. This can be achieved through a specific rigid motion, which preserves the shape and size of the triangles.

The first step in the rigid motion is a translation. Translation involves moving the entire triangle along a straight line without altering its shape or size. By sliding one triangle along the plane, we can place the corresponding sides of the two triangles in the same position.

The second step is a rotation. A rotation is a transformation that turns the triangle around a fixed point, called the center of rotation. By rotating one triangle around its center, we can align the corresponding angles of the two triangles. By combining the translation and rotation, we ensure that the sides and the included angle of the two triangles match, verifying their congruence using the SAS criterion.

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\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)

Answer:

A.

Step-by-step explanation:

The formula for trying to find the area of a circle is Area= r^2

Sooo:

Area=3.14 x 18 x 18

18 x 18 is the first part of the equation

=324

Then:

3.14(pi) x 324 = 1017.36 = 1017 ft2

Answer:

760 miles per hour

Step-by-step explanation:

380x2

The only option that cannot be used to prove that the diagonals of parallelogram abcd intersect at point e is; Option C

A) The sum of the interior angles of any quadrilateral is 360° and so this is true about the parallelogram.

B) AB = CD and BC = DA from opposite sides of a parallelogram are equal. Also AC = CA because of reflexive property of congruence. Thus, ∠ABC ≅ ∠CDA

C) This is not true because ∠ABC ≅ ∠CDA instead of ∠ABC ≅ ∠CDE.

D) This is true because of the definition of a transversal.

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