how many times does 5 go into 45?

Answer:

C.27

Step-by-step explanation:

66+n-17=76
combine like terms
66 - 17 = 49 so
49 + n = 76
subtract 49 from both sides
n = 27

Answer:

VU = 8

KL = 19

ΔS = 120°

ΔF = 130°

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Answer:

Step-by-step explanation: 31

Crenshaw

Sugar

3

Answer:

B

Step-by-step explanation:

Given:

3 (1/3) , 3(5/12), 3(1/6) , 3(1/4)

Observations :

-all weights have as a whole number 3 so they are the same until we consider the fraction part

- 1/3 is 1 cut is 3 parts is giving us a bigger slices if we cut 1 into 4 parts for 1/4 and then 1 into 6 parts for 1/6

So far we have:

Lightest to heaviest

3(1/6) , 3(1/4), 3 (1/3)

Now we have to see where to put 3(5/12)

if it was 6/12 will be half so because is 5/12 we have a bit less then half

if was 4/12 will be 1/3 so because is 5/12 we have a bit more then 1/3

So we have as final arrangement lightest to heaviest

3(1/6) , 3(1/4), 3 (1/3), 3(5/12)

connect with the names and we have option B

To construct a grammar over {a, b} whose language is {a mb n : 0 ≤ n ≤ m ≤ 3n}, the following rules can be used: S → AB | BABA → aAb | aSb | bA | bB | AAB → aAb | aSb | bAS → In the above grammar rules, S is the starting symbol. Now, let's check if this grammar is fulfilling the given requirements or not. Let's start with the base condition i.e., n = 0If n = 0, then the language is {ε} and S → ε is a valid rule.

Next, let's check for n = 1If n = 1, the language is {a, ab} and A → a, B → b or A → aSb are valid rules for generating these strings. Now, let's check for n = 2If n = 2, the language is {aa, aab, abb, abbb} and the following rules are valid: A → aAbB → bBaS → AB or B |

Thus, all the strings can be generated using the above rules. Lastly, let's check for n = 3If n = 3, the language is {aaa, aaab, aabb, aabbb, abbb, abbbb, bbb, bbbb} and the following rules are valid:A → aAbB → bBaS → AB or B | Thus, all the strings can be generated using the above rules. Hence, the grammar over {a, b} whose language is {a mb n : 0 ≤ n ≤ m ≤ 3n} is S → AB | BABA → aAb | aSb | bA | bB | AAB → aAb | aSb | bAS.

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Answer:

the first one ASA or AAS

Step-by-step explanation:

There is no AAA congruency

The are no right angle marked on diagram so, no HL

There are vertical angles and the parallel lines create congruent Alternate Interior Angles

Answer:

II and III

Step-by-step explanation:

In ΔSRT & ΔVUT

∠STR = ∠VTU   {Vertically opposite angles}

RT = UT   {Given}

∠SRT = ∠VUT           {UV //RS and UR is transversal; alternate interior angles}

ΔSRT ≅ ΔVUT              {A S A congruent}

In ΔSRT & ΔVUT

∠RST = ∠UVT           {UV //RS and SV is transversal; alternate interior angles}

∠SRT = ∠VUT           {UV //RS and UR is transversal; alternate interior angles}

RT = UT   {given}

ΔSRT ≅ ΔVUT      {A  A S congruent}

The triangle similarity can be proven by three methods, and the AA similarity postulate states that two triangles are similar if and only if their corresponding angles are congruent.

If they have the same shape but different sizes. This is what is known as similarity. In mathematics, there are three ways to prove that two triangles are similar: AA, SAS, and SSS.

In the case of AA similarity postulate, two triangles are similar if and only if two corresponding angles are congruent, meaning they have the same degree measure.

Similarly, if triangle ABC is similar to triangle JKL by AA similarity postulate, it means that the corresponding angles of both triangles are congruent.

Therefore, it is possible that triangle ABC is similar to one or more of the triangles given, but it is not possible to say without further information such as the angles and lengths of the sides.

Complete Question:

Define triangle is ​△ABC​ similar to Similarity property and why?

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Answer:

\( \huge \boxed{0.231 =\frac{231}{1000}} \)

hope this helps.

Answer:

5.7 units

Step-by-step explanation:

Answer:

what grade is this?

Step-by-step explanation:

Answer:

k = 6

Step-by-step explanation:

(2,8) and (5, 17) each moved up 6 units from f(x) which is why k = 6

Answer:

The number of people in one session that will spend within two standard deviations below the mean and one standard deviations above the mean time on Facespace is 394 people

Step-by-step explanation:

The given information are;

The mean time spent of Facespace, μ = 30 minutes

The standard deviation of the time spent daily, σ = 6 minutes

The number of people in one sitting, n = 2900 people

The time spent two standard deviations below the mean = 30 - 12 = 18 minutes

The time spent one standard deviations above the mean = 30 + 6 = 36 minutes

The Z-score values are;

\(Z=\dfrac{x-\mu }{\sigma }\)

Which gives;

For x = 30

\(Z=\dfrac{36-30 }{6 } = 1\)

For x = 18

\(Z=\dfrac{18-30 }{6 } = -2\)

From the z-score table, we have;

P(Z > -2) = 1 - 0.02275 = 0.97725

P(Z < 1) = 0.84134

Therefore, the probability P(-2 < Z < 1) = 0.97725  - 0.84134 = 0.13591

Given that there are 2900 are on in one sitting, the number of them that will lie within two standard deviations below the mean and one standard deviations above the mean = 2900 × 0.13591 = 394.139 which is approximately 394 people.

The z scores of 1.5, -0.5 and -2.0 corresponds with a raw score of 650, 450 and 300

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

Where x = raw score, μ = mean and σ = standard deviation.

Given that σ = 100, μ = 500, hence:

a) For z = 1.5:

1.5 = (x - 500)/100

x = 650

b) For z = -0.5:

-0.5 = (x - 500)/100

x = 450

c) For z = -2:

-2 = (x - 500)/100

x = 300

The z scores of 1.5, -0.5 and -2.0 corresponds with a raw score of 650, 450 and 300

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Answer:

Below in bold.

Step-by-step explanation:

it is a right triangle so one angle = 90 degrees.

The other angle = 180 - (37 +90)

= 180 - 127

= 53 degrees.

Linear pairs add up to 180.

So other angle = 18--53

= 127 degrees.

Answer:

see below

Step-by-step explanation:

Hi!

\(\frac{1}{21-20} \left[\begin{array}{ccc}-3&10&\\2&-7&\end{array}\right]\)

(Determinant is 1 in this case)

Hence the inverse is:

\(\left[\begin{array}{ccc}-3&10\\2&-7&\\\end{array}\right]\)

Answer:

17 servings

Step-by-step explanation:

This is a fairly easy question. Here is what you need to do to solve.

The whole chocolate bag is 25.5 oz, and each serving is 1.5 oz.

So divide 25.5 by 1.5 to get your answer of 17 servings per bag!

_________________________________________________________

Hope this helps!

Yours Truely, TheAnimeCatUwU!

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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The formula to find the tangent line to a curve at a given point is y = f'(x) (x - x₀) + f(x₀).

The derivative of the function, f'(x) is calculated at the given point, x₀. Then, the equation of the tangent line is found by substituting the x₀ and f'(x) values into the formula.

To find the tangent line to a curve at a given point, the formula for the slope of the tangent line must be used. The slope of a tangent line is equal to the derivative of the function at that point. The resulting equation is a line with a slope equal to the derivative of the function at the given point, and a y-intercept equal to the value of the function at the given point. For example, if you want to find the tangent line to the function f(x) = 4x² + 3 at the point (2, 19), the derivative of the function at that point is f'(x) = 8x = 8(2) = 16. Then, the equation of the tangent line is y = 16(x - 2) + 19.

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Assuming an annual appreciation rate of 5.4 percent, collection of 47 1952 silver dollars, purchased at face value, will be worth approximately $148.51 when you retire in 2057.

To calculate the future value of your collection, we can use the formula for compound interest: FV = PV * (1 + r)ⁿ, where FV is the future value, PV is the present value, r is the annual interest rate, and n is the number of years. In this case, the present value is the face value of the silver dollars, which is equal to 47 * $1 = $47.

To find the future value in 2057, we need to calculate the number of years from the present to 2057, which is 2057 - current year. Assuming the current year is 2023, the number of years is 2057 - 2023 = 34.

Plugging in the values, we have

FV = $\(47 * (1 + 0.054)^{34\) = $\(47 * (1.054)^{34\) ≈ $148.51.

Therefore, your collection of 47 1952 silver dollars will be worth approximately $148.51 when you retire in 2057, assuming they appreciate at an annual rate of 5.4 percent.

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Answer:

6 buses

Step-by-step explanation:

138 students / 23 students per bus = 6 buses

Answer:

they'll need 6 buses

Step-by-step explanation:

138 students divided by 23 leads for 6 buses needed

Answer:

Answer the first choice.

Step-by-step explanation:

Given

Points (-2,6) and (0,2)

y2 = 6

y1 = 2

x2 = - 2

x1 =0

m = (y2 - y1)/(x2 -x1)

Solution

m = (6 - 2)/(-2 - 0)

m = 4 / - 2                 <<<< ===== Answer..

m = - 2

Remark

If you know what the formula to use is, it always helps to write down your givens. The solution is much easier.

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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Answer: There were 78 red apples at the party.

Step-by-step explanation:

This situation can be represented by the equation  

x + 3x + 2(3x) = 130    where x is the number of green apples, 3x is the number of  yellow apples and 2(3x) is the number  of red apples.

Now solve for x

x +3x +2(3x) =130

4x + 6x = 130

10x  = 130

x =  13  

Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.

2 * (3*13)  = ?

2 * 39 = 78  

Answer:

rate of change can be used in a real life problem such as the rate that a pool fills up with water.

Data:

• Monthly budget: $15

• Price of a package of ramen: $1.48

• Price of a music download: $1.15

Procedure:

Answer: 10.1

Answer:

is 84 dollars

Step-by-step explanation:

Teresa wants to replace a glass window in her restaurant. The window is in the shape of a square. Its side lengths are 6 feet. Suppose glass costs $7 for each square foot. How much will the glass cost to replace the window? Please I really need help ASAP!!!

Answer:

Step-by-step explanation:

5. 3/4 +3/4 + 3/4 + 3/4 + 3/4 + 3/4 = (6 x 3)/4 = 18/4 = 4 1/2

6. 16 x 3 x 1/8 = (48x 1)/8 = 48/8 = 6

7. 500 x 2/5 = 500 x 2 x 1/5 = (1000 x 1)/5 = 1000/5 = 200

Answer:

\(Sin~30^o=\frac{LJ}{8\sqrt{2} }\)

\(8\sqrt{2} (Sin~30^o)=LJ\)

\(LJ=4\sqrt{2}\)

\(Sin~45^o=\frac{x}{4\sqrt{2} }\)

\(4\sqrt{2}(Sin~45)=x\)

\(x=4\) ✓

᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄

hope it helps...

have a great day!!

Answer: the correct answer is: 8/5

Step-by-step explanation: just took the quiz.

1) The error in the graph should be that the time should be on x-axis and cost should be on y axis

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