can someone pls help​

Kari can buy 30 AA batteries and 30 D batteries. We used simple LCM for this solution.

To find the smallest number of each battery type that Kari can buy, we must find the least common multiple (LCM) of 6 and 10. The LCM is the smallest multiple that both numbers can divide into evenly. To find the LCM, we can list the multiples of each number until we find a common multiple. In this case, the LCM of 6 and 10 is 30. So, Kari can buy 30 AA batteries and 30 D batteries, which gives her an equal number of both battery types.

Learn more about Batteries:

https://brainly.com/question/26466203

#SPJ4

The cost of one knife is £ 5.52.

Given, one knife is equal to three times spoon.

Let the cost of knife be x, and cost of spoon be y.

x=3y. ------(1)

9 spoons and 12 knives costs £82. 80, which can be written as

9(spoons)+12(knife)=£82. 80

9y+12x=£82. 80

9y+12(3y)=£82. 80

9y+36y=£82. 80

45y=£82. 80

y=£82. 80/45

y=£ 1.84

The cost of one spoon is £1.84.

We have to find the cost of one knife, we can substitute the value of y in equation 1 to get the cost of one knife.

x=3(1.84)

x=5.52.

Therefore, the cost of one knife is £5.52.

To learn more on cost here:

https://brainly.com/question/28367774#

#SPJ4

Corrected Question

A knife is three times the cost of a spoon.  9 spoon and 12 knives cost £82. 80 work out the cost of one knife.

Answer:

10 miles

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

12th square number

= 12 × 12

= 144

7th square number

= 7 × 7

= 49

Difference between the 12th square number and the

7th square number

= 12th square number - 7th square number

= 144 - 49

= 95

Difference between the 12th square number and the

7th square number = 95

The Maclaurin series for f(x) converges absolutely for x within the interval (-2/3, 2/3).

To find the Maclaurin series for the function f(x) = (3cos(x))ln(1+x), we can use the standard formulas for the Maclaurin series expansion of elementary functions.

First, let's find the derivatives of f(x) up to the third order:

f(x) = (3cos(x))ln(1+x)

f'(x) = -3sin(x)ln(1+x) + (3cos(x))/(1+x)

f''(x) = -3cos(x)ln(1+x) - (6sin(x))/(1+x) + (3sin(x))/(1+x)² - (3cos(x))/(1+x)²

f'''(x) = 3sin(x)ln(1+x) - (9cos(x))/(1+x) + (18sin(x))/(1+x)² - (12sin(x))/(1+x)³ + (12cos(x))/(1+x)² - (3cos(x))/(1+x)³

Next, we evaluate these derivatives at x = 0 to find the coefficients of the Maclaurin series:

f(0) = (3cos(0))ln(1+0) = 0

f'(0) = -3sin(0)ln(1+0) + (3cos(0))/(1+0) = 3

f''(0) = -3cos(0)ln(1+0) - (6sin(0))/(1+0) + (3sin(0))/(1+0)² - (3cos(0))/(1+0)² = -3

f'''(0) = 3sin(0)ln(1+0) - (9cos(0))/(1+0) + (18sin(0))/(1+0)² - (12sin(0))/(1+0)³ + (12cos(0))/(1+0)² - (3cos(0))/(1+0)³ = -9

Now we can write the first three nonzero terms of the Maclaurin series:

f(x) = f(0) + f'(0)x + (f''(0)/2!)x² + (f'''(0)/3!)x³ + ...

f(x) = 0 + 3x - (3/2)x² - (9/6)x³ + ...

Simplifying, we have:

f(x) = 3x - (3/2)x² - (3/2)x³ + ...

To determine the values of x for which the series converges absolutely, we need to find the interval of convergence. In this case, we can use the ratio test:

Let aₙ be the nth term of the series.

|r| = lim(n->infinity) |a_(n+1)/aₙ|

= lim(n->infinity) |(3/2)(xⁿ+1)/(xⁿ)|

= lim(n->infinity) |(3/2)x|

For the series to converge absolutely, we need |r| < 1:

|(3/2)x| < 1

|x| < 2/3

To know more about Maclaurin series:

https://brainly.com/question/31745715

#SPJ4

The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.

The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.

For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).

The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).

To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.

The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

Learn more about probability

brainly.com/question/32575884

#SPJ11

Positive correlation means that both variables tend to increase (or decrease) together. Thus, Option A is the answer.

Positive correlation refers to a relationship between two variables in which an increase in one variable is associated with an increase in the other variable. Negative correlation, on the other hand, refers to a relationship in which an increase in one variable is associated with a decrease in the other variable. No correlation means that there is no relationship between the two variables.

To determine the strength of a correlation, we can use a statistical measure called the correlation coefficient, which ranges from -1 to 1. A correlation coefficient of 1 indicates a perfect positive correlation, a correlation coefficient of -1 indicates a perfect negative correlation, and a correlation coefficient of 0 indicates no correlation.

Learn more about Positive correlation:

https://brainly.com/question/28898177

#SPJ4

The throw of the dice or the drawing of a card is known as random behavior.

Random behavior refers to events that occur by chance, without any predictability or pattern. These events cannot be influenced or controlled, and their outcomes are determined by the laws of probability. In games such as dice and card games, the outcomes are determined by random variables, such as the position of the dice or the shuffle of the deck.

Random behavior can also occur in other contexts, such as weather patterns or the stock market, where events are subject to unpredictable fluctuations. Understanding random behavior is important in many fields, including mathematics, statistics, and economics, as it can help us make informed decisions based on the probability of different outcomes.

To learn more about probability  click here

brainly.com/question/30034780

#SPJ11

Answer:

\(4 \sqrt{lyl} \)

Step-by-step explanation:

Absolute value is needed, since y can be a negative number, and even roots of real numbers are not real numbers

Answer: 200m^3

Step-by-step explanation:

Rectangular prism (Cuboid) formula - L * W * H Length × Width × Height

10m(5m)(4m) = 200m^3

Answer:

13c + 1

Step-by-step explanation:

4c + 2 + 4c + 1 + 2c + 3c - 2

8c + 5c + 3 - 2

13c + 1

Answer:

4x-3=-12 fasle

Step-by-step explanation:

Answer:

x = 1/2   y = -5/2

Step-by-step explanation:

Since we already know an equation for y, we just need to plug it into the other equation.

21x - 7(-5x) = 28

21x + 35x = 28

56x = 28

x = 1/2

Now that we know x, we substitute it into the other equation, to find y.

y = -5x

y = -5(1/2)

= -5/2

(1) 6/36

(2) 30/36

There are six possible outcomes. The probability of obtaining any side/number is 1/6,

Then for 2 dies it’s 2/36

Total possible outcomes=total numbers of the first die (6)× total numbers of the second die(6)= 36

The outcomes of rolling two dice are below:

 1 2 3 4 5 6

1 (1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)

2 (2, 1) (2, 2)(2, 3)(2, 4)(2, 5)(2, 6)

3 (3, 1) (3, 2)(3, 3)(3, 4)(3, 5)(3, 6)

4 (4, 1) (4, 2)(4, 3)(4, 4)(4, 5)(4, 6)

5 (5, 1) (5, 2)(5, 3)(5, 4)(5, 5)(5, 6)

6 (6, 1) (6, 2)(6, 3)(6, 4)(6, 5)(6, 6)

To know more about Dice

https://brainly.com/question/23637540

Answer: 41

Step-by-step explanation:

Prime numbers are numbers that have only 2 factors: 1 and themselves.

Answer:

-8x-7=56

Step-by-step explanation:

a negative times a negative gives u a positive

Answer:

-7 * 8 = -56

Step-by-step explanation:

you will still get the same answer

It will take 3.375 ft ³wrapping paper to cover a box that is 1.5ft x 1.5ft x 1.5ft

We can see that volume of a cube can be calculated as the cube of the sides of a given figure.

The volume of a cube = side³

We are given the dimensions as;

1.5ft x 1.5ft x 1.5ft

here the volume of the cube will be;

= side³

=1.5ft x 1.5ft x 1.5ft

= 3.375

Learn more about volume;

https://brainly.com/question/1578538

#SPJ1

The degree of the polynomial 7x³ 5x 4x³ 2x² is 3.

The degree of a polynomial is the highest power of x in the polynomial.

In this case, the polynomial is 7x³ 5x 4x³ 2x², and the highest power of x is x³. This means that the degree of this polynomial is 3.

It's important to note that when working with polynomials it's important to pay attention to the signs of the coefficients. In this case, we have 7x³, 5x, 4x³, 2x². The x³ term has the highest degree and it's coefficient is 7, the x term has the second highest degree and it's coefficient is 5, the x³ term has the same degree as the first x³ term, but the coefficient is different, and the x² term has the fourth highest degree and it's coefficient is 2.

Learn more about Polynomials here:

https://brainly.com/question/2833285

#SPJ4

The area inside the ellipse can be computed using Green's theorem, which relates the area of a region to a line integral over its boundary.

To apply Green's theorem, we need to parameterize the boundary of the ellipse. Using x(t) = 13cos(t), we can express y in terms of t as y(t) = 6sin(t).

Next, we compute the derivatives dx/dt and dy/dt:

dx/dt = -13sin(t)

dy/dt = 6cos(t)

Substituting these values into the line integral formula, we have:

(1/2) ∫∂D (-ydx + xdy) = (1/2) ∫₀²π (-6sin(t)(-13sin(t)) + 13cos(t)(6cos(t))) dt

= (1/2) ∫₀²π (78sin²(t) + 78cos²(t)) dt

= (1/2) ∫₀²π 78(dt)

= 39π

Thus, the area inside the ellipse, computed using Green's theorem, is 39π square units.

Learn more about ellipse here : brainly.com/question/20393030

#SPJ11

Answer:

65

Step-by-step explanation:

the square means 90 add that to 25 and subtract from 180

Answer:

x =  65

Step-by-step explanation:

The measure of the entire angle is 180°. The angle on the furthest left (with a square in it) is a right angle, meaning that it is 90°.

All three of the angles (90°, x°, 25°) all add up to the measure of the line, which is 180°. So, we can write this equation.

90 + x + 25 = 180

Subtract 90 and 25 from both sides.

90 + x + 25 - 90 - 25 = 180 - 90 - 25

x =  65

The survey mode that is not mentioned in the text is "puter-administered." The correct option is b: puter-administered.

The following is not a survey mode mentioned in the text: a.person-administered. b: puter-administered. c.self-administered. d.mixed-mode.

Know more about the survey

https://brainly.com/question/19637329

#SPJ11

The general solution of the differential equation x'(t) = Ax(t), where A is the matrix [0 -1; 1 0], is x(t) = [(c₁² - c₂² + 2ic₁c₂)\(e^{(it)\) + (2c₁c₂ - c₁² + c₂²)\(e^{(it)\)][1, i].

To solve the differential equation x'(t) = Ax(t), where A is the given matrix [0 -1; 1 0], we can use the method of finding the eigenvalues and eigenvectors.

Step 1: Find the eigenvalues λ of the matrix A by solving the characteristic equation |A - λI| = 0.

The characteristic equation for A is:

|0-λ -1| = 0

|1 0-λ|

Expanding the determinant gives:

(-λ)(-λ) - (-1)(1) = 0

λ² + 1 = 0

Solving the equation, we get two eigenvalues: λ₁ = i and λ₂ = -i.

Step 2: Find the eigenvectors corresponding to each eigenvalue.

For λ₁ = i:

(A - λ₁I)u₁ = 0

|0- i -1| |x₁| = |0|

|1 0- i| |x₂| |0|

Simplifying the equation gives:

-ix₁ - x₂ = 0

x₁ - ix₂ = 0

Solving this system of equations, we get the eigenvector u₁ = [1, i].

For λ₂ = -i:

(A - λ₂I)u₂ = 0

|0+i -1| |x₁| = |0|

|1 0+i| |x₂| |0|

Simplifying the equation gives:

ix₁ - x₂ = 0

x₁ + ix₂ = 0

Solving this system of equations, we get the eigenvector u₂ = [1, -i].

Step 3: Write the general solution as x(t) = c₁x₁(t) + c₂x₂(t), where c₁ and c₂ are constants.

The general solution to the differential equation x'(t) = Ax(t) is:

x(t) = c₁[1, i]\(e^{(i\lambda_1 t)\) + c₂[1, -i]\(e^{(i\lambda_2 t)\)

= c₁[1, i]\(e^{(it)\) + c₂[1, -i]\(e^{(it)\)

Expanding and simplifying the solution:

x₁(t) = c₁\(e^{(it)\) + c₂\(e^{(it)\)

x₂(t) = ic₁\(e^{(it)\) - ic₂\(e^{(it)\)

Therefore, the general solution is:

x(t) = c₁[c₁\(e^{(it)\) + c₂\(e^{(it)\)][1, i] + c₂[ic₁\(e^{(it)\) - ic₂\(e^{(it)\)][1, -i]

= (c₁c₁\(e^{(it)\) + c₁c₂\(e^{(it)\) + ic₁c₁\(e^{(it)\) - ic₁c₂\(e^{(it)\))[1, i] + (ic₁c₁\(e^{(it)\) - ic₁c₂\(e^{(it)\) - c₂c₁\(e^{(it)\) - c₂c₂\(e^{(it)\))[1, -i]

= [(c₁² - c₂² + 2ic₁c₂)\(e^{(it)\) + (2c₁c₂ - c₁² + c₂²)\(e^{(it)\)][1, i]

Learn more about differential equations at

https://brainly.com/question/25731911

#SPJ4

The question is -

What's the general solution (c1x1(t) +c2x2(t)) of a differential equation x'(t) = Ax(t) with a matrix A = [0 -1; 1 0]?

Answer:

PQ = 34.4

Step-by-step explanation:

First, we know that the angles in a triangle add up to 180 degrees. Therefore, angle M = 48 and angle R = 74

Next, because there is a corresponding angle in each triangle, they are similar. This means that the ratios between corresponding sides are the same. For example, the side opposite angle O (MN) over the side opposite angle R (PQ) is equal to the side opposite angle N (OM) over the side opposite angle Q (RP)

This can be written as MN/PQ = OM/RP. Note that both the numerators are on the same triangle, and MN and PQ correspond, as well as OM and RP.

We are given MN, NO, and QR. Because NO is opposite a 48 degree angle (angle M) as well as QR (angle P), we can say that NO/QR = another ratio of a pair of corresponding sides. Because we want to find PQ, and both PQ and MN are opposite 74 degree angles, we can say that

NO/QR = MN/PQ

Thus,

11/27 = 14/PQ

multiply both sides by PQ to remove a denominator

PQ * 11/27 = 14

multiply both sides by 27 to remove the other denominator

PQ * 11 = 14 * 27

divide both sides by 11 to isolate the PQ

PQ = 14 * 27 /11

PQ = 34.4

The total value of the remaining inventory is  $5,000. So correct option is B.

Inventory refers to the stock of goods or materials that a business or organization has on hand for the purpose of selling, manufacturing, or producing. It can include finished goods ready for sale, work in progress, or raw materials waiting to be processed or used. Proper management of inventory is essential to ensure that a business can meet customer demand while minimizing costs associated with carrying excess inventory or stockouts. Inventory management techniques involve tracking inventory levels, determining optimal reorder points, and controlling the flow of goods in and out of the inventory.

Using the FIFO method, we assume that the first jackets purchased are the first ones sold, so the value of the remaining inventory is calculated as follows:

The first 30 jackets are from the beginning inventory and cost $175 each.

The next 16 jackets (out of the 25 purchased in March) cost $150 each.

The next 10 jackets (out of the 35 purchased in June) cost $125 each.

The last 0 jackets (out of the 30 purchased in September) cost $100 each.

So the total value of the remaining inventory is:

30 x $175 + 16 x $150 + 10 x $125 + 0 x $100 = $5,000

Therefore, the answer is B. $5,000.

To know more about FIFO visit:

https://brainly.com/question/28852724

#SPJ1

Answer:56.548

Step-by-step explanation:

The formula for this is A=2πrh+2πr2

so A = 2π0.75(10) + 2π0.75(2)

So our surface area is 56.548

The maximum number of real zeros in a polynomial will same as its degree thus 3 degrees will have 3 zeros.

The roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.

An n degree of a polynomial can have a maximum of n number of variables.

For example, a quadratic equation ax² + bx + c = 0 is a two-degree equation so it has a maximum of two roots or zeros.

As per the given a polynomial is having 3 degrees so it will have exactly 3 roots.

Hence "A polynomial can have as many real zeros as the number of degrees it has, therefore one with three degrees can have up to three of them.".

To learn more about the roots of equations,

https://brainly.com/question/12029673

#SPJ1

First we have to split the spinner into two equal parts. One half belongs to the blue and red sections, and the other half belongs to the green and purple sections.

Formulating an equation for the first part, we have:

P(b) + P(r) = 0.5 ( P(b): probability of landing on blue section, P (r): probability of landing on red section)

P(r) + 1/2*P(r) = 0.5 ( Since it is half as likely to land on blue as to land on red)

3/2*P(r) = 0.5 (Adding like terms)

P(r)= 0.5 / (3/2) (Dividing on both sides by 3/2)

P(r)= 1/3 (Dividing)

P(b)=1/2*P(r) (Finding the probability of landing on blue section)

P(b)= 1/6

Formulating an equation for the second part, we have:

P(g) + P(p) = 0.5 ( P(g): probability of landing on green section, P (r): probability of landing on purple

section)

P(g) + 3*P(g) = 0.5 ( Since it is three times as likely to land on purple as green)

4*P(g) = 0.5 ( Adding like terms)

P(g) = 0.5/4 (Dividing by 4 on both sides of the equation)

P(g) = 1/8 (Dividing)

P(p) = 3*P(g) (Finding the probability of landing on purple section)

P(p)= 3/8

The integral of (42³ - 2r + 7) dz is equal to (42³ - 2r + 7)z + C.

To integrate the function (42³ - 2r + 7) dz, we treat r as a constant and integrate with respect to z. The integral of a constant with respect to z is simply the constant multiplied by z:

∫ (42³ - 2r + 7) dz = (42³ - 2r + 7)z + C

where C is the constant of integration.

Note: The integral of a constant term (such as 7) with respect to any variable is simply the constant multiplied by the variable. In this case, the variable is z.

Know more about integration here:

https://brainly.com/question/31744185

#SPJ11

Answer:

Step-by-step explanation:

3x + 4x + x = 16

7x + x = 16

8x = 16

x = 16 : 8

x = 2

----------------------

3 × 2 + 4 × 2 + 2 = 16  (remember PEMDAS)

6 + 8 + 2 = 16

16 = 16

same value the answer is good

To find the greatest common factor (GCF) of a sum, list the prime factors of each term in the sum. The GCF is the product of the common prime factors raised to the lowest exponent.

To find the greatest common factor (GCF) of a sum, you can first list the prime factors of each term in the sum. The GCF is the product of the common prime factors raised to the lowest exponent.

For example, to find the GCF of 36x² + 18x² + 12x², you would list the prime factors of each term:

36x² = 2² × 3² × x²

18x² = 2 ×  3² ×  x²

12x² = 2² ×3 × x²

The GCF is 2 × 3 ×  x² = 6x²

To rewrite the sum using the GCF and the distributive property, you divide each term in the sum by the GCF, and then multiply the GCF by the sum of the quotients:

(36x² + 18x²  + 12x²) / (6x² ) = 6 + 3 + 2

6x² × (6 + 3 + 2) = 6x² ×  11

So the sum can be rewritten as 6x² × 11

You can also use the same method to find GCF of numbers as well.

Learn more about distributive property on:

https://brainly.com/question/2807928

#SPJ1