Andy bought one candy bar. He ate
7/12
of his candy bar on Monday and
1/6
of his candy bar on Tuesday. How much of Andy's candy bar was still there after Tuesday?

Answer:

4 pounds of mac 3 pounds of potato

Step-by-step explanation:

5+6=11+5+6=22+5+6=33+5=38

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket. She spills 13 pounds of the mixture while stirring the contents. The mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of mixture, and the leftover mixture is washed out of the mixing bucket.

What is the greatest number of bricks Lynn can make?  

How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest  number of bricks?

Answer:

Greatest number of bricks = 70

Washed out mixture = 4 pounds

Therefore, Lynn can make at most 70 bricks and 4 pounds of mixture will be washed out if she makes 70 bricks.

Step-by-step explanation:

She combines 39 pounds of water and 48 pounds of brick dust in a mixing bucket.

Amount of mixture = 39 pounds of water + 48 pounds of brick dust

Amount of mixture = 87 pounds

She spills 13 pounds of the mixture while stirring the contents.

Amount of mixture left = 87 pounds - 13 pounds

Amount of mixture left = 74 pounds

Each brick requires 7 pounds of mixture

What is the greatest number of bricks Lynn can make?  

Greatest number of bricks = 7×10

Greatest number of bricks = 70

How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest  number of bricks?

Washed out mixture = 74 pounds - 70 pounds

Washed out mixture = 4 pounds

Therefore, Lynn can make at most 70 bricks and 4 pounds of mixture will be washed out if she makes 70 bricks.

Answer:

1,024

Step-by-step explanation:

2*2*4*4*4*4=1024

The false statement among the options is: "In an observational study, the investigators assign the subjects to treatment or control groups."

In an observational study, the investigators do not assign subjects to treatment or control groups. Instead, they observe and collect data on the subjects as they naturally exist in their environments.

In observational studies, the assignment of subjects to groups is not under the control of the investigators, unlike in controlled experiments where researchers can assign subjects to different groups.

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Answer:

Step-by-step explanation:

(x+2)2+(y−1)2=10

Explanation:

The simplest equation for a circle is:

XXX2+Y2=R2

for a circle with center at (0,0) R

and radius

If we want to shift this so the center is at

(−2,1)

then the

X

values become x=X−2xx→xxX=x+2

and the Y values become yy=Y−1xx → xxY=y−1=Y−1xx→xxY=y−1 So X 2+Y becomes

(x+2)2+(y−1)2

The radius is unaffected by the shift and will remain the same length.

The radius is the distance between the center

(−2,1)

and any point on the circumference; in this case we are given the point

(1,0)

Using the Pythagorean Theorem this gives us a radius squared of

XXXR2=((−2)−1)2+(1−0)2=10

Therefore the equation of our (shifted) circle will be

XXX(x+2)2+(y−1)2=10

Answer:

B. 7 - 9i

Step-by-step explanation:

1) Remove Parentheses.

2 - 8i + 5 - i

2) Add 2 and 5.

7 - 8i - i

3) Subtract i from -8i.

7 - 9i

Answer:

Option B

The answer is 7 – 9i

Step-by-step explanation:

(2 – 8i) + (5 – i)

2 – 8i + 5 – i

7 – 9i

Thus, The answer is 7 – 9i

-TheUnknownScientist 72

The total interest income reported over the life of the bond investment would be $7,500.

To calculate the total interest income, we need to determine the annual interest payment and multiply it by the number of years until maturity. In this case, the bond has a par value of $50,000 and pays interest at a 3% annual rate. The annual interest payment can be calculated by multiplying the par value by the interest rate, which gives us $50,000 * 0.03 = $1,500.

Since the bond has a maturity period of 5 years, we can multiply the annual interest payment by the number of years to obtain the total interest income. Therefore, the total interest income is $1,500 * 5 = $7,500.

Adelphi Company purchased the bonds at 101, which means they bought them at a premium. The straight-line amortization method assumes that the premium or discount is amortized evenly over the life of the bond. However, since the premium was not mentioned explicitly in the question, we can assume that it does not affect the calculation of the total interest income. In conclusion, over the life of the bond investment, Adelphi Company will report a total interest income of $7,500.

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Answer:

24 pieces

Step-by-step explanation:

6 ÷ 1/4

To determine the number of tons of metal per year needed for Machine A to be favored over Machine B, we compare their costs. Machine A costs $323,000 with an annual operating cost of $2.40/ton, while Machine B costs $178,000 with an annual operating cost of $8.00/ton. The machines have useful lives of 10 years and 6 years, respectively, and the minimum attractive rate of return (MARR) is 18% per year.

By calculating the equivalent annual costs (EAC) for each machine using the given formula and comparing them, we can determine the point at which Machine A becomes more favorable. However, specific values for the discounting factors and the tons per year needed are missing, making it impossible to provide an exact answer.

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A. The amount of aspirin in the dose is 22.066 milligrams.

B. ƒ (60) = 7.483 milligrams
This means that 60 hours after ingesting a dose of 22.066 milligrams of aspirin, the amount of aspirin in the person's blood will be 7.483 milligrams.

C. The aspirin level will be less than 10 milligrams after approximately 45.06 hours.

a. The initial amount of aspirin in the dose can be found by evaluating f(0):

f(0) = 300 * (1/2)^(1/30) ≈ 22.066

Therefore, there are approximately 22.066 milligrams of aspirin in the dose.

b. We can find f(60) by substituting t = 60 into the equation:

f(60) = 300 * (1/2)^(1/30 * 60) ≈ 7.483

Therefore, there are approximately 7.483 milligrams of aspirin in the person's blood 60 hours after ingesting the dose. This is significantly less than the initial amount of 22.066 milligrams, indicating that the aspirin is being metabolized and eliminated from the body over time.

c. We want to solve for t when f(t) < 10:

300 * (1/2)^(1/30t) < 10

Dividing both sides by 300:

(1/2)^(1/30t) < 1/30

Taking the natural logarithm of both sides:

ln[(1/2)^(1/30t)] < ln(1/30)

Using the properties of logarithms:

(1/30t)ln(1/2) < ln(1/30)

Simplifying:

-0.6931t < ln(1/30)

Dividing both sides by -0.6931 (which is ln(1/2)):

t > ln(1/30) / (-0.6931)

t > 45.06

Therefore, the aspirin level will be less than 10 milligrams after approximately 45.06 hours.

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Answer:

Step-by-step explanation:

The quadratic expression can be factored into two binomials if it has two real roots.

Two real roots possible with non-negative discriminant:

As D = b² - 4ac, we get the following inequality

This is true for any value of k

Answer:

(-∞, ∞)  or  \(k \in \mathbb{R}\)

Step-by-step explanation:

Binomial:  two terms connected by a plus or minus sign.

Discriminant

\(b^2-4ac\quad\textsf{when}\:ax^2+bx+c=0\)

\(\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real roots}\)

\(\textsf{when }\:b^2-4ac=0 \implies \textsf{one real root}\)

\(\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real roots}\)

If a quadratic expression factors into two binomials, it will have two real roots.  Therefore, the discriminant will be greater than zero.

Given quadratic expression:

  \(3x^2+kx-8\)

\(\implies a=3, \quad b=k, \quad c=-8\)

Substitute the values of a, b and c into the discriminant, set it to > 0:

\(\implies k^2-4(3)(-8) > 0\)

\(\implies k^2+96 > 0\)

As k² ≥ 0 for all real numbers,

\(\implies k^2+96 \geq 96\)

Therefore, the values of k are (-∞, ∞)  or  \(k \in \mathbb{R}\)

The set of side measurements that could be used to form a right triangle are (d) 6, 8, 10

From the question, we have the following parameters that can be used in our computation:

The list of options

The set of side measurements that could be used to form a right triangle can be calculated using the pythagorean theorem

a² = b² + c²

So, we have

O 3, 11, 20

20² = 3² + 11²

400 = 130 -- false

O 5, 9, 17

17² = 5² + 9²

289 = 106 -- false

O 6, 7, 8

8² = 6² + 7²

64 = 85-- false

O 6, 8, 10

10² = 6² + 8²

100= 100 - - true

Hence, the set of side measurements that could be used to form a right triangle are (d) 6, 8, 10

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Answer:

3.0

Step-by-step explanation:

bcbcbbcbc

Answer:

i believe number 1 is 18 and number 2 is 9.

Step-by-step explanation:

if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.

\(f(x) = ( \frac{1}{4} ) {}^{x} \)

\(f(0) = ( \frac{1}{4} ) {}^{0} \)

\(f(0) = 1\)

\(f(1) = ( \frac{1}{4} ) {}^{1} \)

\(f(1) = \frac{1}{4} \)

\(f(2) = ( \frac{1}{4} ) {}^{2} \)

\(f(2) = \frac{1}{16} \)

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(note - an equation contains an is equal to sign [=] and if a problem does not have an is equal to sign then it becomes an expression)

just add all of them making an equation like

2n° + 55° + 49° = 180° (angle sum property)

2n° + 104 = 108°

2n° = 108° - 104

i.e., 2n° = 76°

n = 76/2 therefore,

n = 38

The value of n is 99

Integers are the set of numbers including all natural numbers and 0. They are part of the real numbers that do not include fractions, decimals, or negative numbers. Counting numbers are also considered whole numbers.

Natural numbers together with zero (0) are referred to as whole numbers. We know that natural numbers refer to the set of counting numbers starting from 1, 2, 3, 4 and so on. Simply put, integers are a set of numbers without fractions, decimals, or even negative integers. It is a collection of positive integers and zero. Or we can say that integers are the set of non-negative integers.

Integers are the set of natural numbers togethe with the number 0. In mathematics, the set of integers is given as {0, 1, 2, 3, ...}, denoted by the symbol W.

W = {0, 1, 2, 3, 4, …}

All natural numbers are integers.

All integers are real numbers.

It is given that If n a whole number, and 0.01 is between 1/n and 1/n+2, then we need to find the value of n.

1/n+2 < 0.01 < 1/n

1/n+2 < 1/100 < 1/n

n< 100 < n +2

Put n = 99, then we get

99 < 100 < 101

Hence the value of n is 99.

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Answer:

\(m=-2\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

A (-3, 3)

B (-1, -1)

Step 2: Find slope m

(L2) The Circumcenter Theorem states that the circumcenter of a triangle is equidistant from each vertex of the triangle.

The Circumcenter Theorem is a fundamental concept in geometry that states that the circumcenter of a triangle is equidistant from each of its vertices. In other words, the circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.

The circumcenter plays a crucial role in the geometry of triangles, as it is the center of the circumcircle, which is the circle that passes through all three vertices of the triangle.

The circumcircle has several important properties, such as the fact that the length of the circumcircle's circumference is equal to twice the length of the triangle's longest side.

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The total area of the regions between the curves is 8 square units

From the question, we have the following parameters that can be used in our computation:

y = 6x² - 9x and y = 3x

With the use of graphs, the curves intersect ar

x = 0 and x = 2

So, the area of the regions between the curves is

Area = ∫6x² - 9x - 3x

This gives

Area = ∫6x² - 12x

Integrate

Area =  2(x - 3)x²

Recall that x = 0 and x = 2

So, we have

Area =  2(0 - 3) * 0² - 2(2 - 3) * 2²

Evaluate

Area =  8

Hence, the total area of the regions between the curves is 8 square units

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The number of miles he can travel on 44.2 gallons of gas would be = 1697.28 miles

The table shows that there is direct proportional relationship between the number of miles traveled and the number of gallons used by Parker. That is increase in the number of mile = increase in the number of gallons.

If 34 gallons = 1305.6 miles

44.2 gallons = X miles

Make X miles the subject of formula;

X miles = 44.2 × 1305.6/34

= 57707.52/34

= 1697.28 miles

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Answer:

5x - 4y = 3 and 3x + 3y = 2 are linear equations.

Step-by-step explanation:

Linear equations:

Linear equations are algebraic equations with highest power of the variable 1.

       So, 5x - 4y = 3 and 3x + 3y = 2 are linear equations.

according to question the surface integral is (32π - 192)/15.

To evaluate the surface integral, we need to parameterize the surface and find the surface element ds.

Let's consider the parameterization:

x = y^2 + z^2

y = y

z = z

The surface element can be found as:

ds = √(1 + (dx/dy)^2 + (dx/dz)^2) dy dz

ds = √(1 + 4y^2) dy dz

Now, we can rewrite the integral as:

∫∫s z^2 ds = ∫∫R (y^2 + z^2)^2 √(1 + 4y^2) dy dz

where R is the projection of the surface S onto the yz-plane, which is the region 0 ≤ y ≤ 2, -√(4 - y^2) ≤ z ≤ √(4 - y^2).

Let's evaluate the integral:

∫∫s z^2 ds = ∫0^2 ∫-√(4-y^2)^√(4-y^2) (y^2 + z^2)^2 √(1 + 4y^2) dz dy

Using cylindrical coordinates, we can rewrite the integral as:

∫0^2 ∫0^π/2 ∫0^2r (r^2 cos^2θ + r^2 sin^2θ)^2 r √(1 + 4r^2 sin^2θ) dr dθ dy

Simplifying and solving the integral, we get:

∫∫s z^2 ds = (32π - 192)/15

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Answer:

sry i dont know........

The data strongly suggests that the four mean scores, representing the four teaching strategies, are not all equal.

The statement implies that based on the data, there is strong evidence to support the conclusion that the mean scores of the four teaching strategies are not equal. In other words, there is a significant difference between the average performance or outcomes associated with each teaching strategy.

This conclusion can be drawn by conducting a statistical analysis of the data, such as performing a hypothesis test or calculating the confidence intervals. These methods help determine if the observed differences in mean scores are statistically significant or likely to occur by chance.

If the analysis reveals a low p-value or the confidence intervals do not overlap significantly, it suggests that the observed differences in mean scores are not likely due to random variation but rather reflect true disparities between the teaching strategies. This provides strong evidence that the mean scores for the four teaching strategies are not equal.

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The perimeter and the area of each composite figure is summarized below:

Case 1: p = 2 · (4√2 + 5), A = 20

Case 2: p = 28, A = 16

Case 3: p = 4 · (√13 + 2), A = 48

In this problem we find three cases of composite figures, whose perimeters and areas should be found. The perimeter is the sum of all side lengths and the area is the sum of areas of simple figures. The area formulas needed are introduced below:

Triangle

A = 0.5 · b · h

Rectangle

A = b · h

Where:

The length of oblique lines are determined by Pythagorean theorem, whereas lengths of horizontal and vertical lines are found by direct inspection. Now we proceed to find the perimeter and area of each figure:

Case 1:

p = 4 · √(2² + 2²) + 2 · 5

p = 4√8 + 10

p = 8√2 + 10

p = 2 · (4√2 + 5)

A = 4 · 5

A = 20

Case 2:

p = 2 · 6 + 4 · 1 + 4 · 2 + 2 · 2

p = 12 + 4 + 8 + 4

p = 28

A = 2 · 6 · 1 + 2²

A = 12 + 4

A = 16

Case 3:

p = 4 · √(2² + 3²) + 2 · 4

p = 4√13 + 8

p = 4 · (√13 + 2)

A = 4 · 6 + 4 · 0.5 · 2 · 3

A = 24 + 24

A = 48

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Answer:

2.947

2.946

2.948

2.949

2.945

Step-by-step explanation:

all decimal points are 5 or greater so you round up.

Answer:2.9477843782957987827878

Step-by-step explanation: