Issac wants to save up some money to buy a new smartphone, so he babysits on the weekends. There is a proportional relationship between the time Oscar spends babysitting(in hours) , z, and the amount of money he earns babysitting(in dollars) , y. What is the constant of proportionality? Write your answer as a whole number or decimal

Answer:

Hi friend! The product is 2,224 and the estimate is 2,000

Answer:

Step-by-step explanation:

To estimate:

Exact answer:

Because the two answers are really close to each other, our rounded answer makes sense.

I hope this helps!

Answer:

12

Step-by-step explanation:

15/100*80=12

Answer:

1.)   ((a+1)^3)+(x^3)  = a^3 + 3a^2 + 3a + x^3 + 1

2.)  ((y-2)^3)-27  =   (y^2-y + 7) x ( y - 5 )

3.)   ((a-b)^3)+b^3  = a (a^2 - 3ab + 3b^2 )

4.)   (8x^3)+((x-y)^3)  =  9x^3 -3x^2 y + 3xy^2 - y^3

5.)   (27a^3)-((a-b)^3) = 26a^3 + 3a^2 b - 3ab^2 + b^3

5) factor = (a+b)(a+b)^ 2    if a is squared and if b is cubed and moved over to = 0 then we can find (a+b)(a+b)^2 but in all cases of quadratics you can set (x -1 ) = 1 and (x-1 ) = 1  so they are always positive. Which is the same if they start of negative.

For question 5 we have a factor solved (a+b)(a+b)^ 2

Which means the same as this expansion

(

Answer:

x = 129º

Step-by-step explanation:

It will take some time to elaborate but start this way:

you see the triangle with the 58º and 57º? Now by rule, the sum of all angles ina triangle is 180º

so 57+58 =  115

to discover the other angle you just have to 180-155 = 65

Now that you know the 65º by rule the angle facing it is exactly the same, follow from there, solve all triangles until you get to x...

Answer:

15.00

Step-by-step explanati

the discount is 15% because you need to subtract it

The probability that a New Yorker who possesses a cat also owns a dog is 0.103. if a new yorker is chosen at random.

New Yorkers own a dog (D) = 30%

New Yorkers own a cat (C) =  25%

New Yorkers own a cat and dog = 15%

This problem can be calculated using Bayes' theorem, which notes that the possibility of an event A given event B is equal to the possibility of event B given A times the probability of A, divided by the probability of event B.

P(D) = 0.30

P(C) = 0.25

P(C|D) = 0.15

Using Bayes' theorem:

P(D|C) = P(C|D) * P(D) / P(C)

P(C) = \(P(C|D) * P(D) + P(C|not D) * P(not D)\)

P(C) = \(P(C|D) * P(D) + P(C) * P(not D)\)

P(C) =\(P(C|D) * P(D) / (1 - P(D) * P(C|not D))\)

Now we can substitute these values into the Bayes' theorem formula:

P(D|C) = P(C|D) * P(D) / P(C)

P(D|C) = \(0.15 * 0.3 / (P(C|D) * P(D) + P(C) * P(not D))\)

P(D|C) = \(0.15 * 0.3 / (0.15 * 0.3 + P(C) * 0.7)\)

P(C) = \(0.15 * 0.3 / (1 - 0.3 * 0.25)\)

P(C) = 0.16

P(D|C) = \(0.15 * 0.3 / (0.15 * 0.3 + 0.16 * 0.7)\)

P(D|C) = 0.103

Therefore, we can conclude that the probability that a New Yorker who owns a cat also owns a dog is 0.103.

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Answer:

47.62 cm

Step-by-step explanation:

ABCD is a rhombus. Each side measures 15 cm.

m<A = 60°.

Here are some properties of a rhombus:

Opposite angles of a rhombus are congruent.

m<C = m<A = 60°

m<ADC = m<ABC

The sum of the measures of the interior angles of a quadrilateral is 360°.

The diagonals are perpendicular bisectors of each other.

m<A + m<C + m<ADC + m<ABC = 360°

60° + 60° + 2m<ADC = 360°

2m<ADC = 240°

m<ADC = 120°

Each diagonal of a rhombus bisects a pair of congruent, opposite angles.

m<ADB + m<CDB = m<ADC

m<ADB = m<CDB

m<ADB + m<ADB = 120°

m<ADB = 60°

Triangle ABD had two angles, <A and <ADB, that measure 60°. Therefore, the third angle, <ABD also measures 60°. That makes triangle ABD an equilateral triangle.

Draw segment AT.

T is the midpoint of BD. The segment AT is the perpendicular bisector of segment BD. Triangle ATD is a 30-60-90 triangle.

Using the ratio of the lengths of the sides of a 30-60-90 triangle, we can calculate the length of AT which is the radius of circle A.

TD : AT : AD

1    : √3 :   2

AD = 15 cm

TD = AD/2

AT = √3 × TD

AT = (AD√3)/2

AT = 7.5√3 = 12.99

AQ = 12.99

perimeter = QD + PB + m(arc)PTQ + BC + CD

perimeter = (15 - 12.99) + (15 - 12.99) + 60°/360° × 2π(12.99) + 15 + 15

perimeter = 47.62

Answer: perimeter = 47.62 cm

Answer:

B

Step-by-step explanation:

25.4

The average time Janette to fold and put away all four items is 25.35 seconds. Then the correct option is C.

The mean of average is the ratio of the sum of observations and the number of observations.

Janette was timed by a store manager as she folded and stored a scarf, a shirt, a pair of trousers, and a jumper. Her time for the shirt was 26.1 seconds, the jumper 24.3 seconds, the trousers 32.8 seconds, and the scarf 18.2 seconds.

The average time Janette to fold and put away all four items will be given as,

Average = (26.1 + 24.3 + 32.8 + 18.2) / 4

Average = 101.4 / 4

Average = 25.35

The average time Janette to fold and put away all four items is 25.35 seconds. Then the correct option is C.

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Answer:

Step-by-step explanation:

180-78=102

180-63=117

180-39=141

The trace of matrix A is -1, and the determinant of matrix A is 12.

The trace and determinant of matrix A with eigenvalues λ1, λ2, λ3, and λ4, we can follow these steps:

Step 1:

Recall that the trace of a matrix is the sum of its diagonal elements.

In this case, since A is a 4x4 matrix, the trace is given by:

Trace(A) = λ1 + λ2 + λ3 + λ4 = -4 + (-1) + 1 + 3 = -1.

Step 2:

The determinant of a matrix can be found by multiplying its eigenvalues together. Therefore, the determinant of matrix A is given by:

Determinant(A) = λ1 * λ2 * λ3 * λ4 = -4 * (-1) * 1 * 3 = 12.

Hence, the trace of matrix A is -1, and the determinant of matrix A is 12.

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The largest subset S on which the vector-valued function F is continuous is the interval (-3, ∞).

To find the largest subset S on which the given vector-valued function is continuous, we need to examine the individual component functions and identify any restrictions or conditions that could cause discontinuities.

Component 1: f1(t) = t/(9 + t^4)

This function is a rational function. It will be continuous for all real values of t except where the denominator equals zero: 9 + t^4 = 0. However, there are no real values of t that satisfy this equation, so f1(t) is continuous for all real values of t.

Component 2: f2(t) = 7t^2 - 7t + 1

This function is a polynomial function, and polynomial functions are continuous for all real values of t. Therefore, f2(t) is continuous for all real values of t.

Component 3: f3(t) = ln(t + 3)

The natural logarithm function is defined for the positive values of its argument. Therefore, t + 3 > 0, which implies t > -3. Hence, the function f3(t) is continuous for t > -3.

Taking all these considerations into account.The function is continuous for all values of t greater than -3.

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Answer:

The fourth one

Step-by-step explanation:

Answer:

n+8n+30 where n is the number of red beads

Step-by-step explanation:

Answer: To find the discount, simply multiply the original selling price by the %discount:

ie:  39 x 33/100= $12.87

So, the discount is $12.87.

Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:

ie: 39- 12. 87=  26.13

So, the sale price is $26.13

Decomposition is used to perform ANOVA and test the significance of the independent variable and its interaction effect on the dependent variable.

The expression SS stands for "sum of squares", which is a statistical concept used in analysis of variance (ANOVA) to quantify the variation in a dataset. The components of this expression, a, b, c, and d, represent different sources of variation in the dataset, and their meanings are as follows:

a. (df)(s^2): This component represents the sum of squares due to the effect of the independent variable, also known as the factor or treatment. It is calculated by multiplying the degrees of freedom (df), which is the number of levels of the factor minus one, by the variance of the data within each level (s^2). This component quantifies the amount of variation in the dependent variable that can be explained by the independent variable.

b. (df)(s): This component represents the sum of squares due to the interaction between the independent variable and other factors, also known as the interaction effect. It is calculated by multiplying the degrees of freedom (df) by the standard deviation (s) of the data. This component quantifies the amount of variation in the dependent variable that is due to the joint effect of the independent variable and other factors.

c. (n)(s^2): This component represents the sum of squares due to the variation within groups, also known as the error or residual sum of squares. It is calculated by multiplying the sample size (n) by the variance of the data within each group (s^2). This component quantifies the amount of variation in the dependent variable that is not explained by the independent variable or other factors.

d. (n)(s): This component represents the sum of squares due to the variation between the sample mean and the overall mean, also known as the total sum of squares. It is calculated by multiplying the sample size (n) by the standard deviation (s) of the data. This component quantifies the total amount of variation in the dependent variable.

In summary, the expression SS = a. (df)(s^2) + b. (df)(s) + c. (n)(s^2) + d. (n)(s) represents the decomposition of the total sum of squares into its components due to the independent variable, interaction effect, error, and total variation. This decomposition is used to perform ANOVA and test the significance of the independent variable and its interaction effect on the dependent variable.

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To construct a matrix A whose nullspace has a basis b, we can start by arranging the basis vectors of b as the columns of a matrix B.

Let's assume that b consists of n basis vectors.

B = [b1, b2, ..., bn]

To create a matrix A, we can augment B with additional columns such that A will have n + 1 columns. We need to ensure that the additional columns are linearly independent from the columns of B. One way to achieve this is by adding the standard basis vectors.

Let I be the identity matrix of size n.

A = [B, I]

The resulting matrix A will have n columns from B representing the basis vectors of the nullspace, and an additional column representing the particular solution Xp.

Now, to construct a matrix system Ax = b, we can simply set A as defined above and let b be the particular solution Xp.

Ax = b

The matrix A will have the nullspace with a basis defined by the columns of B, and the particular solution Xp will be represented by the additional column in A. The vector b will be equal to Xp.

In summary, the matrix A is constructed by augmenting the basis vectors of the nullspace with the standard basis vectors, and the matrix system Ax = b is formed by setting A as defined above and b as the particular solution Xp.

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Answer:

It is not a polynomial because the polynomial is the term given to an expression which has coefficients as well as variables with powers having a non-negative entegral value or we can say natural number. The power of the variable × here is not an integer so 3/× is not a polynomial

Step-by-step explanation:

I hope I helped you

Answer:

below

Step-by-step explanation:

-x/3 + x³ is polynomial

3ˣ IS NOT a polynomial, it makes the function be an  "exponential function", which does not fit the criteria of polynomial definition.

∫[3, 8] f(x) dx equals approximately 1683.17.

∫[3, 8] g(x) dx equals approximately 1932.5

To evaluate the given integrals, let's first identify the functions f(x) and g(x) and their respective intervals.

f(x) = 4x^2 - 3x + 2

g(x) = 2x^3 - 5x + 1

Interval: [3, 8]

Now, let's evaluate the integrals step by step.

∫[3, 8] f(x) dx:

We integrate the function f(x) over the interval [3, 8].

∫[3, 8] (4x^2 - 3x + 2) dx

To find the integral, we can use the power rule for integration. For each term, we increase the exponent by 1 and divide by the new exponent.

= [4 * (x^3/3) - 3 * (x^2/2) + 2x] evaluated from 3 to 8

Now we substitute the upper and lower limits into the integral expression:

= [(4 * (8^3/3) - 3 * (8^2/2) + 2 * 8) - (4 * (3^3/3) - 3 * (3^2/2) + 2 * 3)]

Simplifying further:

= [(4 * 512/3) - (3 * 16/2) + 16 - (4 * 27/3) + (3 * 9/2) + 6]

= [(1706.67) - (24) + 16 - (36) + (13.5) + 6]

= 1683.17

Therefore, ∫[3, 8] f(x) dx equals approximately 1683.17.

∫[3, 8] g(x) dx:

We integrate the function g(x) over the interval [3, 8].

∫[3, 8] (2x^3 - 5x + 1) dx

Using the power rule for integration:

= [(2 * (x^4/4)) - (5 * (x^2/2)) + x] evaluated from 3 to 8

Substituting the upper and lower limits:

= [(2 * (8^4/4)) - (5 * (8^2/2)) + 8 - (2 * (3^4/4)) + (5 * (3^2/2)) + 3]

Simplifying further:

= [(2 * 4096/4) - (5 * 64/2) + 8 - (2 * 81/4) + (5 * 9/2) + 3]

= [(2048) - (160) + 8 - (162/2) + (45/2) + 3]

= 1932.5

Therefore, ∫[3, 8] g(x) dx equals approximately 1932.5

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Answer:

3003 cm³

Step-by-step explanation:

21cm × 13cm × 11 cm = 3003 cm³

Answer:

d = 3

Step-by-step explanation:

2d + 1 = 7

7 -1

2d = 6

2 divided by 2(cancels out), 6 divided by 2 is 3.

d = 3

The rectangle with dimensions 21 m by 21 m has the largest area among rectangles with a perimeter of 84 m.

To find the dimensions of a rectangle with a perimeter of 84 m that maximizes the area, we need to use the properties of rectangles.

Let's assume the length of the rectangle is l and the width is w.

The perimeter of a rectangle is given by the formula: 2l + 2w = P, where P is the perimeter.

In this case, the perimeter is given as 84 m, so we can write the equation as: 2l + 2w = 84.

To maximize the area, we need to find the dimensions that satisfy this equation and give the largest possible value for the area. The area of a rectangle is given by the formula: A = lw.

Now we can solve the perimeter equation for l: 2l = 84 - 2w, which simplifies to l = 42 - w.

Substituting this expression for l into the area equation, we get: A = (42 - w)w.

To maximize the area, we can find the critical points by taking the derivative of the area equation with respect to w and setting it equal to zero:

dA/dw = 42 - 2w = 0.

Solving this equation, we find w = 21.

Substituting this value of w back into the equation l = 42 - w, we get l = 42 - 21 = 21.

Therefore, the dimensions of the rectangle that maximize the area are l = 21 m and w = 21 m.

In summary, the dimensions of the rectangle are 21 m by 21 m, so the answer is A. 21, 21.

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Answer: No solution

Step-by-step explanation: If you are doing the Unit Test on edge2020 then D No solution is the answer.

Answer:

the answer is no "solution"

Unit Test on Edge 2023

There are 50 customers per week.

Since average can be calculated by dividing the sum of observations by the number of observations.

Average = Sum of observations/the number of observations

We are given that During the month of May she averaged 47 customers the first week, 38 the second week, 55 the third week, and 60 the fourth

week.

therefore, consider that w represent the number of customers in the 1st week, x represent the number of customers in the 2nd week, y represent the number of customers in the 3rd week and z represent the number of customers in the 4th week.

Then the average would be;

w + x + y + z= 4A

47 + 38 + 55 + 60 = 4A

A = 200/4

A = 50

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The time it takes to complete a job varies inversely with the number of people working on it. This means that as the number of people working on the job increases, the time it takes to complete the job decreases.

We can use the following formula:

T1 * P1 = T2 * P2

Here, T1 and P1 represent the time and number of people in the first scenario, while T2 and P2 represent the time and number of people in the second scenario.

Given:
T1 = 28 hours (time taken by 11 carpenters)
P1 = 11 carpenters
P2 = 49 carpenters (number of carpenters in the second scenario)

We need to find T2 (time taken by 49 carpenters).

Step 1: Plug in the given values into the formula:
28 * 11 = T2 * 49

Step 2: Simplify and solve for T2:
308 = 49 * T2

Step 3: Divide both sides by 49 to isolate T2:
T2 = 308 / 49

Step 4: Calculate the result:
T2 = 6.2857 (rounded to 4 decimal places)

So, it will take approximately 6.29 hours for 49 carpenters to complete the same job.

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Answer:

the second picture answer is F.56

Step-by-step explanation:

if you add 16 + 40=56

Answer:

\(\large\boxed{\tt Area = 20.25 \pi \ ft^{2}}\)

Step-by-step explanation:

\(\textsf{We are asked for the area of a circle.}\)

\(\textsf{Note that we are given only the circumference of the circle, which means that we}\)

\(\textsf{have to find more information from only the Circumference, which is possible.}\)

\(\large\underline{\textsf{What is Circumference?}}\)

\(\textsf{Circumference is considered the perimeter of the circle. Because a Circle has arcs}\)

\(\textsf{instead of sides, the Circumference is the sum of all the arcs' lengths.}\)

\(\underline{\textsf{How are we able to find the Circumference?}}\)

\(\textsf{The Circumference is measured by using the radius, or diameter of a circle, then}\)

\(\textsf{multiplying such by pi. Mathematicians discovered that Pi is always the measure}\)

\(\textsf{of the arcs when Diameter is used. Pi is an irrational number mainly used for circles.}\)

\(\underline{\textsf{Formulas for Circumference;}}\)

\(\tt C = (Diameter) \times \pi\)

\(\tt C = 2(Radius) \times \pi\)

\(\textsf{*The Radius is multiplied by 2 to equal the length of the Diameter.}\)

\(\textsf{Our goal is to find the Radius of the circle, let's use the formula including the Radius.}\)

\(\large\underline{\textsf{Solving for the Radius;}}\)

\(\tt 9 \pi = 2(Radius) \pi\)

\(\textsf{Let's start by using the Division Property of Equality for pi.}\)

\(\tt \frac{9 \pi}{\pi} = \frac{2(Radius) \pi}{\pi}\)

\(\tt 9 = 2(Radius)\)

\(\textsf{Use the Division Property of Equality again to find the Radius.}\)

\(\tt \frac{9}{2} = \frac{2 (Radius)}{2}\)

\(\large\boxed{\tt Radius = 4.5 ft.}\)

\(\textsf{Now that we have the Radius, we are able to find the area of the circle.}\)

\(\large\underline{\textsf{What is Area?}}\)

\(\textsf{Area is the space that the surface of a shape occupies.}\)

\(\underline{\textsf{How are we able to find the area of a circle?}}\)

\(\textsf{Of course, Pi is incl\textsf{u}ded to find the area of a circle as well. As mentioned before,}\)

\(\textsf{we found the Radius with the Circumference in order to find the Area. The Radius}\)

\(\textsf{is squared, then multiplied by Pi to equal the area.}\)

\(\underline{\textsf{Formula for Area;}}\)

\(\tt Area = \pi(Radius)^{2}\)

\(\textsf{We know the Radius, hence we may begin solving for the Area.}\)

\(\large\underline{\textsf{Solving for the Area;}}\)

\(\tt Area = \pi(4.5)^{2}\)

\(\textsf{Let's follow the rule of Operations, where we should evaluate the exponents first.}\)

\(\tt 4.5 \times 4.5 = 20.25.\)

\(\large\underline{\textsf{Hence;}}\)

\(\large\boxed{\tt Area = 20.25 \pi \ ft^{2}}\)

Answer;

Explanation:

Here, we want to get the product of the given expression

Since the base are the same,, we use the indices rule which is:

We apply that in this same problem as follows:

Answer:

Agar.io

Buildroyale.io

Gats.io

Krunker.io

Narwhale.io

1v1.lol

1v1.fail

Or look up your favorite computer games but put (Gooogle Sites) at the end

Step-by-step explanation:

Answer:

Not sure if what I'm doing is even remotely correct but. 6ft

Step-by-step explanation:

\( \frac{30}{25} = \frac{x}{5} \)

\(30 \times 5 = 150\)

\(150 \div 25 = 6\)

The total number of samples will be 1109 .

Given ,

Margin of error 0.02

Here,

According to the formula,

\(Z_{\alpha /2} \sqrt{pq/n}\)

Here,

p = proportions of scientist that are left handed

p = 0.09

n = number of sample to be taken

Substitute the values,

\(Z_{0.01} \sqrt{0.09 * 0.91/n} = 0.02\\ 2.33 \sqrt{0.09 * 0.91/n} = 0.02\\\\\\\)

n ≈1109

Thus the number of samples to be taken will be approximately 1109 .

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Answer:

Interest paid to Laura is $320

The final amount is $2320

Step-by-step explanation:

Recall that the equation for simple interest is \(A=P(1+rt)\) where \(A\) is the final amount, \(P\) is the principal/initial value, \(r\) is the annual interest rate, and \(t\) is the time in years.

\(A=P(1+rt)\)

\(A=2000(1+0.04(4))\)

\(A=2000(1.16)\)

\(A=2320\)

Therefore, if the final amount is $2320, then the interest paid to Laura is $2320 - $2000 = $320