3. A recipe for banana bread calls for 0.5 cup of vegetable oil. If the baker
wants to make 3 loaves of banana bread, how much vegetable oil is
needed?

Answer:

59,850

Step-by-step explanation:

cost: 57,000

what is 5%?

57,000 * .05 = 2,850

so, add the cost and tax together

57,000 + 2850 = 59,850

Answer:

14

Step-by-step explanation:

Let's find (f-g)(x)

\(3x^{2} + 1 - (1-x)\\3x^{2} + 1 -1 + x\\3x^{2} + x\)

Now let's plug in x=2, so to find (f-g)(2)

\(3(2)^{2} + 2\\12 + 2 = 14\)

Answer:

look at image attached :)

The equation at the vertex (2,6) will be given by  \(F[x]=2|x-2|+6\)

It is given that

vertex =(2,6)

The quadratic equation in the form of Vertex will be

\(y=a(x-h)^2+k\)

Now here  \((h,k)=(2,6)\)

Now putting the values

\(y=a|x-2|^2+6\)

Thus the function will be

\(F[x]=2|x-2|+6\)

Thus equation at the vertex (2,6) will be given by  \(F[x]=2|x-2|+6\)

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Answer:

alternate interior,x=2

Step-by-step explanation:

they are alternate interior angles

so 36x+3=-1+38x

   -36x         -36x

3=-1+2x

+1|+1

4/2=2x/2

x=2

The balance in the account after three years, rounded to the nearest dollar, is $2711.

To find the balance after three years for an account that pays 2.5% annual interest compounded monthly when $2500 is deposited in the account, you need to use the formula for compound interest.

A = P(1 + r/n)^(nt), whereA is the balance after three years, P is the principal amount ($2500), r is the annual interest rate (2.5%),

n is the number of times the interest is compounded per year (12 months), and t is the time in years (3 years).

Substituting the values in the formula,

we get:A = 2500(1 + 0.025/12)^(12*3)A

= 2500(1.00208333)^36A

= 2500(1.084297)A = $2710.74

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Answer:

Jeanie should have multiplied the base by itself five times.

Step-by-step explanation:

Given:

(0.2) superscript 5

= 0.2 + 0.2 + 0.2 + 0.2 + 0.2

= 0.2 × 5

= 1

The above solution is wrong

The correct solution is:

(0.2) superscript 5

= 0.2^5

= 0.2 × 0.2 × 0.2 × 0.2 × 0.2

= 0.00032

The true statement is:

Jeanie should have multiplied the base by itself five times.

The base is 0.2 multiplied by itself 5 times

Answer:

jeanie should have multiplied

Step-by-step explanation:

edge 2021

The ANOVA procedure is a statistical approach used to determine whether the means of three or more groups are equal.

ANOVA, which stands for Analysis of Variance, is a statistical technique that compares the means of multiple groups to assess if they are significantly different from each other. It is specifically designed for situations where there are three or more groups or treatments being compared. The goal is to determine whether the observed differences in means are statistically significant or if they can be attributed to random variation. ANOVA assesses the variability between the group means and within each group, allowing researchers to make inferences about population means based on sample data. Therefore, the correct answer is that the ANOVA procedure is used to determine whether the means of three or more groups are equal.

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To determine if a set of vectors in R3 is linearly dependent, we can inspect the vectors and see if any one of them can be expressed as a linear combination of the others. If so, the set is linearly dependent.

To determine whether a set of vectors in R3 is linearly dependent or not, we can inspect the vectors and see if any one of them can be expressed as a linear combination of the others.

For example, consider the set of vectors:

v1 = (1, 2, 3)

v2 = (2, 4, 6)

v3 = (1, 2, 5)

We can see that v2 is equal to 2v1, which means that it can be expressed as a linear combination of v1. Therefore, the set of vectors is linearly dependent.

In general, a set of vectors in R3 is linearly dependent if and only if one of the vectors can be expressed as a linear combination of the others. This is because any set of more than three vectors in R3 is necessarily linearly dependent, since the dimension of R3 is only three.

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Answer:

its 60. u gotta know this stuff man

the matrix has one real eigenvalue of algebraic multiplicity.

[1-λ     k

1        -7-λ]     =(1-λ)(-7-λ)-(1)(k) = λ² +6λ -(k+7)

Mathematics has several different subfields, including algebra. Algebra is the study of mathematical symbols and the rules for using them in formulas; it is a common thread that runs through practically all of mathematics.

Since many applications of mathematics include the manipulation of variables, which are frequently represented by Roman letters, elementary algebra is a prerequisite. For the most part in education, the study of algebraic structures like groups, rings, and fields is referred to as abstract algebra (the term is no more in common use outside the educational context). In contemporary presentations of geometry, linear algebra—which deals with linear equations and linear mappings—is used.

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The probability of the arrow landing on an odd number is the number of odd numbers divided by the total number of possible outcomes. Therefore, the probability of the arrow landing on an odd number is  0.5 or 50%.


To find the probability that the arrow will point at an odd number on a circular board with 8 equal parts, we'll first determine the total number of odd numbers present and then divide that by the total number of possible outcomes.

Step 1: Identify the odd numbers on the board. They are 1, 3, 5, and 7. The game consists of spinning the arrow on a circular board with 8 equal parts, which means there are 8 possible outcomes or numbers. Since we want to know the probability of landing on an odd number, we need to count how many odd numbers are on the board. In this case, there are four odd numbers: 1, 3, 5, and 7.

Step 2: Count the total number of odd numbers. There are 4 odd numbers.

Step 3: Count the total number of possible outcomes. Since the board is divided into 8 equal parts, there are 8 possible outcomes.

Step 4: Calculate the probability. The probability of the arrow pointing at an odd number is the number of odd numbers divided by the total number of possible outcomes.

Probability = (Number of odd numbers) / (Total number of possible outcomes)
Probability of landing on an odd number = Number of odd numbers / Total number of possible outcomes
Probability of landing on an odd number = 4 / 8

Step 5: Simplify the fraction. The probability of the arrow pointing at an odd number is 1/2 or 50%.

So, the probability that the arrow will point at an odd number is 1/2 or 50%.

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Step-by-step explanation:

2a+26°+58°=180°

2a=180-26-58

2a=96

a=48

2*48+26=122

Given :

▪︎Measure of an angle in a parallelogram = 58°

▪︎Measure of the angle opposite this angle = (2x+26)°

We know that :

▪︎Opposite angles in a parallelogram are equal.

Which means :

\( =\tt 2a+ 26 = 58\)

\( =\tt 2a = 58 - 26\)

\( =\tt 2a= 32\)

\( =\tt a = \frac{32}{2} \)

\(\hookrightarrow\color{plum}\tt a = 16\)

Thus, the value of a = 16

Let us now place 16 in the place of a and check whether or not we have found out the correct value of a:

\( =\tt 2 \times 16 + 26 = 58\)

\( = \tt32 + 26 = 58\)

\( =\tt 58 = 58\)

Since the values in both the side match, we can conclude that we have found out the correct value of a.

▪︎Therefore, the value of a = 16

Answer:

Step-by-step explanation:

The most appropriate choice for area of a square will be given by-

The lower bound of the side of the given square is 6.5 cm.

What is area of a square?

Area of a square is the total space taken by that square.

If the length of one side of a square is \(a\) \(cm\), then area of the square is given by \(a^2\) \(cm^2\).

Here,

Let the side of the square be a cm.

Area = \(a^{2}\) \(cm^{2}\)

By the problem,

\(a^{2}\) = 42.5

\(a\) = \(\sqrt{42.5}\)

\(a\) ≈ 6.519 cm

Lower bound = 6.5 cm

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Given the integral is, ∫ (2z + 1) / (z² cosz) dzWhen we take a look at the integral, we can easily tell that the pole lies at z = 0 since cos z doesn't have any zeros for any z ∈ C.

This is further confirmed as when we approach z = 0 from the positive real axis, 1/cos z is positive and when we approach z = 0 from the positive imaginary axis, 1/cos z is negative.Thus, by the residue theorem, the required integral is equal to 2πi times the residue of the integrand at z = 0.Residue of the integrand at z = 0 is given as,\(Res_{z=0} (2z + 1)/ (z^{2} cos z)\)We have,\(\begin{aligned} Res_{z=0}\frac{2z+1}{z^{2} cos z}&=\lim_{z\rightarrow 0}\frac{d}{dz}\bigg( z^{2}\cos z \bigg) \frac{2z+1}{z^{2} cos z} \\ &=\lim_{z\rightarrow 0}\frac{2z^{2} cos z- z^{2} sin z +2z +1}{z^{2} cos z} \\ &= 2 \end{aligned}\)Therefore, the required integral,∫ (2z + 1) / (z² cosz) dz, where |z| = 1 is equal to 2πi × 2 = 4πi.State the result we used : Residue of the integrand at z = 0 is \(\frac{2}{1!}\) = 2.

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The given function is ∫ (2z+1)/(z² cos(z)). dz on |z|=1. Let's first obtain the poles of the integrand that occur inside the given curve.|z|=1 has the circumference of the unit circle centered at the origin. Therefore, the integrand is undefined only at z = 0. Therefore, it has only one pole, z = 0, within |z| = 1.Let's evaluate the given integral. For this, we have to use the residue theorem which states that:$$\int_C f(z) dz= 2\pi i \sum_{k=1}^n Res(f, z_k)$$where Res(f, z) denotes the residue of f at z. The given integrand can be expressed as:$$\frac{2z+1}{z^2cos(z)}=\frac{2z+1}{z^2(1-\frac{z^2}{2!}+\frac{z^4}{4!}-...)}$$$$=\frac{2z+1}{z^2(1-\frac{z^2}{2!}(1-\frac{z^2}{4!}+...))}$$Thus, the first residue at z=0 is obtained by expanding the denominator of the integrand:$$\frac{2z+1}{z^2cos(z)}=-\frac{1}{z^2}-\frac{1}{2}+\frac{z^2}{8}-\frac{z^4}{192}+...\hspace{20mm} [Taylor\ series]$$Therefore, the residue at z=0 is $Res(f, 0) = -\frac{1}{2}$. The result can now be calculated:$$\int_C f(z) dz= 2\pi i\ Res(f, 0)=-\pi i$$Therefore, the required integral is -πi.

Above 95% confidence interval for population mean =(6.7149 to 9.2051)

Given that,

3.3.8 One of the writers asked her students how many hours a week they anticipated studying statistics outside of class in a pre-course, anonymous survey for her introductory statistics course. The average response time was 8.2 hours, with a standard deviation of 3.79 hours, from 49 students. Data were not significantly skewed.

To find : a) specify the study's observational unit. b) Determine if the variable is categorical or quantitative and the variable of interest. c) compute and present the 95% confidence interval for the parameter of interest using the theory-based inference applet. d) Was it appropriate to determine a confidence interval using the theory-based (t-distribution) technique in the setting of this study?

sample mean x= 7.960

sample size   n= 36.00

sample std deviation s= 3.68

std error sx=s/√n= 0.6133

for 95% CI; and 35 df, value of t= 2.030

margin of error E=t*std error    = 1.245

lower bound=sample mean-E = 6.7149

Upper bound=sample mean+E = 9.2051

from above 95% confidence interval for population mean =(6.7149 to 9.2051)

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Answer:

x = 18.38

Step-by-step explanation:

sin 45 = 13/x

0.7071 = 13/x

x = 18.38

Answer:

-7

Step-by-step explanation:

(x-5)/2=-6

x-5=-12

x=-7

Answer:

x = -7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

(x - 5)/2 = -6

Step 2: Solve for x

The cost of ordering shirts for a club is 268 units.

Define Function.

A function, according to a technical definition, is a relationship between a set of inputs and a set of possible outputs, where each input is connected to precisely one output.

 This means that a function f will map an object x exactly to one object f(x) in the set of possible outputs if the object x is in the set of inputs (called the codomain).

The statement that f is a function from X to Y using the function notation f: X→Y

The function that represents the cost of the shirts(x) is f(x) = 8x+12

Now, for x = 32

 f(x) = 8x+12

f(32) = 8(32) + 12

        = 256 +12

f(32) = 268 units

.

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The expression that is equivalent to the given expression is 3⁶/7¹⁵

From the question, we are to determine the expression that is equivalent to the given expression

The given expression is

\(\left(\frac{7^{-3} }{3^{-2} \times 7^{2}} \right)^{3}\)

Simplifying

\(\left(\frac{7^{-3} }{3^{-2} \times 7^{2}} \right)^{3}\)

\(\left(\frac{7^{-3 \times 3} }{3^{-2 \times 3} \times 7^{2 \times 3}} \right)\)

\(\left(\frac{7^{-9} }{3^{-6} \times 7^{6}} \right)\)

= \(\left( 7^{-9} \times \frac{1}{3^{-6}} \times \frac{1 }{7^{6}} \right)\)

= \(\left( \frac{1}{7^{9} } \times 3^{6} \times \frac{1 }{7^{6}} \right)\)

= \(\left(\frac{3^{6} }{7^{9} \times 7^{6}} \right)\)

= \(\frac{3^{6} }{7^{9+6}}\)

= \(\frac{3^{6} }{7^{15}}\)

Hence, the expression that is equivalent to the given expression is 3⁶/7¹⁵

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Answer:

To find the number of smaller pieces that can be obtained, we need to divide the total length of the wood by the length of each smaller piece:

Number of pieces = Total length ÷ Length of each piece

Number of pieces = 7.2 m ÷ 0.12 m

Number of pieces = 60

Therefore, 60 smaller pieces can be obtained from the 7.2 m long piece of wood.

Answer:

60

Step-by-step explanation:

To determine how many smaller pieces can be obtained from a 7.2 m long piece of wood, we need to divide the total length of the wood by the length of each smaller piece.

Total length of wood = 7.2 m

Length of each smaller piece = 0.12 m

Number of smaller pieces = Total length of wood / Length of each smaller piece

Number of smaller pieces = 7.2 m / 0.12 m

Number of smaller pieces = 60

Therefore, 60 smaller pieces can be obtained from a 7.2 m long piece of wood, with each smaller piece being 0.12 m in length.

The points where f(x) is discontinuous are x = -2, x = 0 and x = 1

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

The graph

By definition, the points where f(x) is discontinuous are the points where there is a hole or disjoint on the graph

Using the above as a guide, we have the following:

There are disjoints at x = -2, x = 0 and x = 1

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a) The Selling price at a markup of $4.35 on the bag of corn chips is $6.25 b) The Net profit a markup of $4.35 on the bag of corn chips is $3.10 c) The cost at a markup of $4.35 on the bag of corn chips is $1.90.

We can use the following equations to solve for the selling price, net profit, and cost of the corn chips:

(a) Selling price = cost + markup

(b) Net profit = selling price - cost - overhead

(c) Overhead = overhead percent x selling price

Given that the overhead is $1.25 and the overhead percent is 20%, we can calculate the selling price as follows:

Now that we know the selling price, we can use equation (a) to calculate the cost:

(a) Selling price = cost + markup

$6.25 = cost + $4.35

Cost = $6.25 - $4.35

Cost = $1.90

(b) Net profit = selling price - cost - overhead

Net profit = $6.25 - $1.90 - $1.25

Net profit = $3.10

(c) Overhead = overhead percent x selling price

$1.25 = 0.2 x selling price

Selling price = $1.25 / 0.2

Selling price = $6.25

Therefore, the selling price of the corn chips is $6.25, the net profit per bag is $3.10, and the cost is $1.90.

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