Keesha has 12 glue bottles and 42 craft sticks.
What is the greatest number of supply bags
she can make if she puts an equal amount of
both in each bag?

Answer:

See below

Step-by-step explanation:

1) 4/16 + 1/4 = 1/4 + 1/4 = 2/4 = 1/2 note

2) 4/16 + 2/8 = 1/4 + 1/4 = 2/4 = 1/2 note

3) 1/16 + 1/8 = 1/16 + 2/16 = 3/16 note (sixteenth note with a dot)

4) 1/4 + 1/16 = 4/16 + 1/16 = 5/16 note (sixteenth note with 2 dots)

5) 1/4 + 2/16 = 4/16 + 2/16 = 6/16 = 3/8 note (eighth note with dot)

6) (1/8+1/16)+1/8 = 2/8 + 4/16 = 4/16 + 4/16 = 8/16 = 1/2 note

7) 2/8 + 1/16 = 4/16 + 1/16 = 5/16 note (sixteenth note with 2 dots)

8) 2/16 + 2/16 = 4/16 = 1/4 note

9) (2/16+1/8)+1/4 = 2/16+2/16+4/16 = 8/16 = 1/2 note

10) 1/16 + 1/16 = 2/16 = 1/8 note

11) 1/16 + 1/8 = 1/16 + 2/16 = 3/16 note (sixteenth note with a dot)

12) 1/4 + 1/16 = 4/16 + 1/16 = 5/16 note (sixteenth note with 2 dots)

13) 1/4 + 2/16 = 4/16 + 2/16 = 6/16 = 3/8 note (eighth note with dot)

14) (1/8+1/16)+1/8 = 2/8 + 4/16 = 4/16 + 4/16 = 8/16 = 1/2 note

15) 4/16 + 1/4 = 1/4 + 1/4 = 2/4 = 1/2 note

16) 4/16 + 2/8 = 1/4 + 1/4 = 2/4 = 1/2 note

17) (2/16+1/8)+1/4 = 2/16+2/16+4/16 = 8/16 = 1/2 note

18) 1/16 + 1/16 = 2/16 = 1/8 note

19) 2/8 + 1/16 = 4/16 + 1/16 = 5/16 note (sixteenth note with 2 dots)

20) 2/16 + 2/16 = 4/16 = 1/4 note

21) (1/8+1/16)+1/8 = 2/8 + 4/16 = 4/16 + 4/16 = 8/16 = 1/2 note

22) 4/16 + 1/4 = 1/4 + 1/4 = 2/4 = 1/2 note

23) 4/16 + 2/8 = 1/4 + 1/4 = 2/4 = 1/2 note

24) (2/16+1/8)+1/4 = 2/16+2/16+4/16 = 8/16 = 1/2 note

25) 1/16 + 1/16 = 2/16 = 1/8 note

26) 2/8 + 1/16 = 4/16 + 1/16 = 5/16 note (sixteenth note with 2 dots)

27) 2/16 + 2/16 = 4/16 = 1/4 note

28) 1/16 + 1/8 = 1/16 + 2/16 = 3/16 note (sixteenth note with dot)

29) 1/4 + 1/16 = 4/16 + 1/16 = 5/16 note (sixteenth note with 2 dots)

30) 1/4 + 2/16 = 4/16 + 2/16 = 6/16 = 3/8 (eighth note with dot)

Bonus Question:

1/4 + 1/8 + 1/8 + 1/4 + 1/16 + 2/8 + 1/16 + 1/4 + 1/16 + (2/16+1/8) = 4/16 + 2/16 + 2/16 + 4/16 + 4/16 + 1/16 + 4/16 + 1/16 + 2/16 + 2/16 = 26/16 = 13/8 (whole note with dot tied with eighth note with 2 dots)

Answer: I’m going with Answer A, since every other option seems to be supported other than Answer A

I’m going with Answer A, since every other option seems to be supported other than B.

Around 490 BC, when the Persians invaded Greece, the marathon was first performed. The most well-known narrative concerns Pheidippides, a Greek messenger tasked with telling the Athenians of the Greeks' victory over the Persians at the Battle of Marathon.

Pheidippides went off on foot and ran nonstop because he thought the assignment was vital. He stormed into the government meeting at the city's gates, declared the Greek victory, then collapsed on the ground and passed away from weariness.

The longest southern path between the two cities, Greece and Athens, is around 40.8 kilometers long.

Therefore, I’m going with Answer A, since every other option seems to be supported other than B.

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Answer:

k=-11

Step-by-step explanation:

\(x^{3}+4x^{2}+kx-30\)

if \(x-3\) is a factor,

\((3)^{3}+4(3)^{2}+k(3)-30=0\\27+4*9+3k-30=0\\27+36+3k-30=0\\33+3k=0\\3k=-33\\k=-11\)

The value of k in the given expression is -11.

An expression, in math, is a sentence with a minimum of two numbers and at least one math operation in it.

Given that, (x-3) is a factor of the given expression, x³+4x²+kx-30, we need to find the value of k,

Since, (x-3) is the factor, therefore, x = 3 will satisfy the expression,

Therefore,

Put x = 3 in the expression, given,

3³+4(3)²+3k-30 = 0

27 + 36 + 3k - 30 = 0

3k = -33

k = -11

Hence, the value of k in the given expression is -11.

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Answer :

Both triangles will be proven similar by AA theorem  i.e. Angle-Angle theorem.

The true statements are:

10. The triangles are similar by SAS

11. The triangles are similar by SAS

Similar triangles may or may not be equal.

For question (10), sides WB and WV are similar.

Also, sides WC and WU are similar, and the angle at point W is common in both triangles

Hence, the triangles are similar by SAS

For question (10), sides WB and WV are similar.

Also, sides WC and WU are similar, and the angle at point W is common in both triangles

Hence, the triangles are similar by SAS

For question (11), sides DC and AE are similar.

Also, sides AB and BC are similar, and the angle at point B is common in both triangles

Hence, the triangles are similar by SAS

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Answer:

\( - 4w + 4 = 12 \\ - 4w = 12 - 4 \\ - 4w = 8 \\ w = - \frac{8}{4} \\\boxed{w = - 2}\)

75% of the beads are green in color.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chase ordered a set of beads

He received 4,000 beads in all.

3,000 of the beads were green.

We need to find the  percentage of the beads were green of 4000.

x/100×4000=3000

40x=3000

Divide both sides by 40

x=75%

Hence, 75% of the beads are green in color.

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Answer:

25y + 15x - 0.2y - 6 +(-2) =31.8

Answer:

923000.

Step-by-step explanation:

You want to find the number in which 9 represents 1/10th of its value in 92300.  Naturally, this number would be 10 times larger.  Multiply 92300 by 10 to get 923000.

923000 is the number in which 9 represents 1/10th of its value in 92300.  

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

we need to find the number in which 9 represents 1/10th of its value in 92300.  

here, this number would be 10 times larger.  

Multiply 92300 by 10

= 92300 x 10

= 923000.

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Answer:

49

Step-by-step explanation:

Go by PEMDAS. there arent any parentheses so we skip that and move on to exponents. there is 5 squared. 5 squared is 25 which makes the equation now-   1+13x2+25-3  after that we move on to multiplication. 13x2 equals 26 which makes the equation-     1+26+25-3 now we just add and subtract from right to left.

Answer:

Step-by-step explanation:

700.5

Answer:

21°

angles remain the same

Answer:

b

Step-by-step explanation:

i think i might be wrong

The scale factor of the smaller figure to the larger figure is 4:11 (option A)

Given:

The volume of the smaller rectangular prism = 64 in^3

The volume of a larger rectangular prism = 1331 in^3

The prisms are similar

To find:

the scale factor of the smaller figure to the larger figure

For similar shapes, the scale factor of the shapes when the volumes are given:

The scale factor of the smaller figure to the larger figure is 4:11 (option A)



As per the concept of combination method, there are 19,600 different ways in which the prizes can be awarded.

To solve this problem, we can use a combination formula. A combination is a selection of objects without regard to order. In other words, it doesn't matter which order the winning tickets are selected in - we just want to know how many different combinations of three tickets can be selected from fifty.

The combination formula is ⁿCₓ, where n is the total number of objects to choose from, and x is the number of objects to be chosen. In this case, n = 50 (the total number of tickets), and r = 3 (the number of winning tickets).

So, we can calculate the number of ways the prizes can be awarded using the following formula:

⁵⁰C₃ = 50! / (3! * (50-3)!)

Simplifying this equation, we get:

⁵⁰C₃ = (504948) / (321)

⁵⁰C₃ = 19,600

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By engaging in these exercises, students can develop a deeper understanding of conditional statements and logical reasoning, which are essential skills for further studies in mathematics and logic.

In Unit 2 of a logic and proof course, homework 3 focuses on conditional statements.

Conditional statements are fundamental concepts in logic and mathematics, representing logical implications between two statements.

They are typically expressed in "if-then" format, where the "if" part is the hypothesis and the "then" part is the conclusion.

The homework may involve tasks such as:

Identifying conditional statements: Students are given a set of statements and asked to identify which ones are conditional statements.

They need to recognize the "if-then" structure and correctly identify the hypothesis and conclusion.

Analyzing the truth value of conditional statements:

Students may be given conditional statements and asked to determine whether they are true or false.

They need to evaluate the hypothesis and conclusion to determine if the implication holds in each case.

Writing converse, inverse, and contrapositive statements:

Students may be required to manipulate given conditional statements to form their converse, inverse, and contrapositive statements.

This involves switching the positions of the hypothesis and conclusion or negating both parts.

Applying the laws of logic:

Students may need to apply logical laws, such as the Law of Detachment or the Law of Modus Tollens, to deduce conclusions based on conditional statements.

Constructing counterexamples:

Students may be asked to provide counterexamples to disprove statements that are falsely claimed to be universally true based on a given conditional statement.

They also help students develop critical thinking and problem-solving abilities, as they have to analyze and manipulate logical structures.

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Answer: 1

Step-by-step explanation:

First we need to simplify the equation by dividing by 2

y=x-5

since there is no value in front of the x, the answer is 1

Answer:

2 sqrt(2x-1)

Step-by-step explanation:

f(x) = sqrt( x+9)

g(x) = 8x-13

f(g(x))

place the function g(x) in for x in f(x)

f(g(x)) = sqrt(8x-13+9)

Combine like terms

f(g(x)) = sqrt(8x-4)

Factor out 4

f(g(x)) = sqrt(4*(2x-1)

           2 sqrt(2x-1)

\(\\ \sf\longmapsto f(x)=\sqrt{x+7}\)

\(\\ \sf\longmapsto g(x)=8x-11\)

\(\\ \sf\longmapsto f(g(x))=\sqrt{8x-11+7}\)

\(\\ \sf\longmapsto f(g(x))=\sqrt{8x-4}\)

\(\\ \sf\longmapsto f(g(x))=\sqrt{4(2x-1)}\)

\(\\ \sf\longmapsto f(g(x))=2\sqrt{2x-1}\)

Answer:

Daniel has to wait around 5.24 years to withdraw the money.

Step-by-step explanation:

We are given that Daniel wants to open an account to purchase a new computer. He was able to put $750 into an account that pays him 8.5% interest. The cost of the computer he wants is $1,150.00.

Let the Principal sum of money be represented by 'P'.

The rate of interest be represented by 'R'.

The time period be represented by 'T'.

The final amount of money be represented by 'A'.

Assuming the interest given is compound interest.

So, the formula for calculating the amount of money is given by;

                          \(\text{A} = \text{P} \times (1-\text{R})^{\text{T}}\)

Here, A = $1,150, P = $750, R = 8.5% and let the time he have to wait to withdraw the money be 'n'.

So, putting these values in the above formula we get;

\(\text{A} = \text{P} \times (1+\text{R})^{\text{T}}\)

\(\text{\$1,150} = \text{750} \times (1+\text{0.085})^{\text{n}}\)

\((1+\text{0.085})^{\text{n}} = \frac{\$1,150}{\$750}\)

\((1+\text{0.085})^{\text{n}} = 1.533\)

Taking log on both sides;

\(\text{n} \times ln(1+\text{0.085}) = ln(1.533)\)

\(n = \frac{ ln(1.533)}{ ln(1.085)}\)

n = 5.24 years

Hence, he has to wait around 5.24 years to withdraw the money.

Answer:

The distance between the points R(a+b,a-b) and S(a-b,a+b) is 2*sqrt(2)*sqrt(a^2+b^2).

Step-by-step explanation:

To find the distance between the two points, we can use the distance formula:

distance = sqrt((x2-x1)^2 + (y2-y1)^2)

Plugging in the coordinates of the two points, we get:

distance = sqrt((a-b-a-b)^2 + (a+b-a+b)^2)

Simplifying, we get:

distance = sqrt(2*(a^2 + b^2))

Multiplying both sides by sqrt(2) gives us:

distance = 2*sqrt(2)*sqrt(a^2+b^2)

Therefore, the distance between the points R(a+b,a-b) and S(a-b,a+b) is 2*sqrt(2)*sqrt(a^2+b^2).

Answer: graph is in picture

Graph the line using the slope and y-intercept, or two points

Slope: −1/2

x y

0. −2

2. −3

—————-————————————

the x- and y-intercepts :

x-intercept(s): (−4, 0)

y-intercept(s): (0, −2)

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

Therefore, the derivative of y = 7x⁴ with respect to x is dy/dx = 28x³.

Differentiation is a mathematical concept that refers to the process of finding the derivative of a function. The derivative of a function is the rate at which the function changes with respect to its independent variable. In other words, it measures how quickly the output of the function is changing as the input value is changing.

The derivative of a function can be used to determine many properties of the function, such as its slope, maximum and minimum values, and whether it is increasing or decreasing. It is an important tool in calculus and is used in many fields, including physics, engineering, economics, and finance.

The process of differentiation involves applying specific rules to a given function to determine its derivative. The most common method of differentiation is using the power rule, which states that the derivative of a function raised to a power is equal to the product of the power and the function raised to the power minus one. Other rules include the product rule, the quotient rule, and the chain rule, which are used to differentiate more complex functions.

by the question.

To differentiate y = 7x⁴, we need to use the power rule of differentiation, which states that if \(y = kx^{n}\), where k is a constant and n is a non-negative integer, then the derivative of y with respect to x is dy/dx = \(\frac{dy}{dx} = nkx^{(n-1)}\).

Using this rule, we can differentiate y = 7x⁴ as follows:

dy/dx = 47\(x^{4-1}\) [applying the power rule]

dy/dx = 28x³

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Step-by-step explanation:

Image 1:

Blank 1: (0,5)

Blank 2: (5,0)

Blank 3: (0,-5)

Blank 4: (-5,0)

Image 2:

C, Both B and D only have one line of symmetry. Choice A has more than 2 because you can evenly split the kite by its vertices and its lengths.

Image 3:

B, a regular quadrilateral is named this way because it contains both the point and linear symmetry. By definition, a regular quadrilateral must have 4 equal sides and angles and must have its diagonals bisect each other.

Image 4:

B, Point symmetry only. This is because when flipped upside down, the shape would still look the same. This would not be rotational symmetry because it does not look 100% like the original after rotating it to a certain degree.

The formula for the indicated rate of change of S(c, \(k) = c(34^k)\). The formula for dc/dk is given by dc/dk = 34^k(1 + c(ln34)).

S(c, k) = c(34^k) is the formula for the indicated rate of change. We are supposed to find the formula for the indicated rate of change dc/dk. Let us begin by taking the derivative of S(c, k) with respect to k.dc/dk is the derivative of S(c, k) with respect to k.

Let us differentiate S(c, k) with respect to k using the product rule. S(c, k) = \(c(34^k)⇒ dc/dk= 34^k(dk/dk) + c(d/dk)(34^k)dc/dk = 34^k + c(34^k)(ln34)dc/dk = 34^k(1 + c(ln34)\))The final formula for dc/dk is given by dc/dk = \(34^k(1 + c(ln34)).\)

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The results generated in the map phase are combined in the _reduce_ phase.

In maps, the "reduced phase" refers to a technique used to remove the phase ambiguity present in interferometric synthetic aperture radar (InSAR) data. InSAR uses radar to measure the distance between a satellite or aircraft and the ground and can be used to create detailed maps of changes in the surface of the earth over time.

However, because InSAR data is collected using radar waves, which are sensitive to the phase of the signal, the data can be affected by phase ambiguities. The reduced phase technique is used to remove these ambiguities and create more accurate maps.

Therefore, The results generated in the map phase are combined in the _reduce_ phase.

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The Cobb-Douglas utility function satisfies the properties of local non-satiation, decreasing marginal utility for both goods, quasi-concavity, and homotheticity.

The Cobb-Douglas utility function u(x1, x2) = xi^(α) * x2^(β), where α and β are both greater than zero, satisfies the following properties:

(a) Local non-satiation:

This property states that at each point of the consumption set, there is always another bundle that is arbitrarily close and strictly preferred. Thus, the function has local non-satiation.

(b) Decreasing marginal utility for both goods 1 and 2: The marginal utility of a good measures the utility obtained by consuming one more unit of it. The marginal utility of x1 can be obtained as:

MU1 = α * xi^(α−1) * x2^(β)

The marginal utility of x2 can be obtained as:

MU2 = β * xi^(α) * x2^(β−1)

Therefore, both marginal utilities are decreasing in x1 and x2, satisfying this property.

(c) Quasi-concavity:

The Cobb-Douglas function is quasi-concave. This means that the upper contour set of any level set of the function is convex. This can be proved by taking the second partial derivative of the function and checking whether it is negative or not.

(d) Homotheticity:

The Cobb-Douglas function is homothetic. This means that its shape is independent of the total level of utility. The proof can be achieved by checking whether the function is homogeneous of degree one or not. This is true, since multiplying the inputs by any positive scalar λ leads to a proportional increase in the output.

In conclusion, the Cobb-Douglas utility function satisfies all four properties - local non-satiation, decreasing marginal utility for both goods 1 and 2, quasi-concavity, and homotheticity.

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Answer:

A

Step-by-step explanation:

Supplementary angles are angles that add up to 180 degrees. Essentially, you can make a straight line with them.

1 and 7 are supplementary

1 and 4 are verticle, so no.

2 and 6 are complementary, so no.

3 and 6 are complementary, so no.

Answer:

A decimal in the wrong place can change the value of a number COMPLETELY!

Step-by-step explanation:

for example

0.4 can be converted to 40 cents or 2/5, but if you change the decimal 0.04 converts to 4% or 1/25.

hope this helps!