Square A is smaller than Square B. Square B is smaller than Square C. The three squares’ side lengths are 26, 4.2, and 11.

Question

Jackson is told that he will be given 1 cent for working today. However, for each day he works, he will get double the pay. So, on day 2, he gets 2 cents, on day 3, 4 cents, and so on. Jackson thinks, no way, that’s not much money. But if he agrees, how much will he make on day 20?

Answer:

48 cents

Step-by-step explanation:

Yes yes yes

The mean () of the test is 150, while the standard deviation () is 25. In the case of a normal distribution, your z score would be: z = (x - ) / = (190 – 150) / 25 = 1.6.

A Z-score of 0 implies that the data point’s value is the same as the mean score. A Z-score of 1.0 indicates that the result is one standard deviation from the mean. The z-scores’ mean is always 0. The z-scores’ standard deviation is always 1. The z-score distribution graph always has the same form as the original sample value distribution graph. The total of the squared z-scores equals the number of z-score values.

z = (x – μ) / σ

z=\(\frac{(190-150}{25} = 1.6\)

Take the raw data, remove the mean, then divide by the standard deviation to get the z-score. The data point of interest is represented by X. Mu and sigma reflect the population’s mean and standard deviation.

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Answer:

First choice, 47/100

Step-by-step explanation:

16 + 9 + 22 + 26 + 15 + 12 = 100

The even numbers are 2, 4, and 6. They rolled two 9 times, four 26 times, and six 12 times. Added together and they're 47, so 47/100

There's no simplification of this fraction as theres no number that can be used to divide both 47 and 100

Answer: exponential

Step-by-step explanation:

Answer:

8 kg of apples

Step-by-step explanation:

First, we need to find how much 1 kg of apples cost. We can do this by dividing $51 and 10 kg:

51÷10=$5.1

Therefore, 1 kg of apples cost $5.10.

Now, to find how many apples we can get for $40.80, we can divide $40.80 by $5.10:

40.80÷5.10=8

Therefore, we can get 8 kg of apples for $40.80.

I hope this helps!

Answer:

8kg

Step-by-step explanation:

51$ ÷ 10 = price of one kg

51$ ÷ 10 = 5.1$

40.80$ ÷ 5.1$ = 8kg

It will take 7 men 42 hours to complete the job if they work at the same rate.

If it takes 4 men 6 hours to repair a road, it means that the total work done is 1 job.

The number of man-hours required to complete the job is the product of the number of men and the number of hours

= 4 men x 6 hours

= 24 man-hours

Now, let's find out how many hours it will take for 7 men to do the same job. We can set up a proportion using the man-hours:

4 men / 24 hours = 7 men / x hours

4x = 7 (240)

4x = 168

x = 168 / 4

x = 42

Therefore, it will take 7 men 42 hours to complete the job if they work at the same rate.

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Answer:

x=19

Step-by-step explanation:

Those two angles are vertical so they are congruent, equal the same thing. 8*19+2 = 154.

Step-by-step explanation:

Radius (r) = 2 ft

V = 4/3 × 22/7 × (2)³

= 4/3 × 22/7 × 8

= 33.52 ft³

Answer: 10

10 THE ANSWER

Step-by-step explanation:

The area of the trapezium ABCD is 136 square cm

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

The image of the trapezium (see attachment)

The area of the trapezium ABCD is calculated as

Area = 1/2 * Sum of opposite sides * Height

When the given values are substituted in the above equation, we have the following equation

Area = 1/2 * (14 + 20) * 8

Evaluate the sum

Area = 1/2 * 34 * 8

Evaluate the products

Area = 136

Hence, the area of the trapezium ABCD is 136 square cm

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Answer:

7

Step-by-step explanation:

because 3x7 =21

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Answer:

x=7

Step-by-step explanation:

Subtract 94 from both sides and you get

3x=21

Then divide both sides by 3

21 divided by 3 is equal to 7

The answer is 7

Hope that helps :)

Measure of angle:

∠A  = 36.86°

∠B = 90°

∠C = 53.13 °

Measure of side ,

AB =  28

BC = 21

CA = 35

Given triangle ABC.

Right angled at B.

Now, using trigonometric ratios to find angle A , B , C .

Right angled at B : ∠B = 90°

Angle A,

SinA = 21/35

∠A = 36.86

Angle C,

SinC = 28/35

∠C = 53.13

Now measures of side.

To find the length of side use sine rule .

Sine rule:

a/sinA = b/sinB = c /sinC

a = opposite side of angle A .

b = opposite site of angle B .

c = opposite side of angle C.

AB = 28

BC = 21

CA = 35

Hence the sides and angles of the triangles are measured .

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Given:

The intial population in 2019 is, P₀ = 103126.

The final population in 2020 is, P = 103856.

The objective is to find the population in the year 2039.

Explanation:

The general exponential form of population growth is,

Here, t represents the time period.

To find t:

The value of t from 2019 to 2020 can be calculated as,

To find r :

On plugging the obtained values in equation (1),

To find population at 2039:

The time period t can be calculated as,

Now, final population after 2019 can be calculated as,

Answer:

7/2

Step-by-step explanation:

rewrite the equation

7 / 6 / 3

7 /2

simplest doesn't mean answer fully just get to the simplest form where there are only absolute numbers

Broderick needs $610.00 in his account to cover his checks.

We know that the balance Boderick has is $420.

First, we will calculate the total amount of the 6 deposits made by Broderick each of $35.50 deposit as follows -

$35.50 x 6 = $213.00

Hence, the total amount of the 6 deposits made by Broderick is $213.00

Next, we will calculate the total amount of the 4 checks he needs to write-

$310.75 x 4 = $1243.00

Hence, the total amount of the 4 checks that Broderick needs to write is $1243.00

Now we will find the final balance of Broderick's account after all the deposits and check withdrawals. We can do this by adding the total amount of the deposits to his initial balance and subtracting the total amount of the checks as follows-

$420.00 + $213.00 - $1243.00 = -$610.00

Thus, Broderick needs $610.00 in his account to cover his checks.

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The complete question is -

Broderick had $420 in his checking account. He made 6 deposits of $35.50 each. He needs to write 4 checks for $310.75 each. How much money does Boderick need to add to his account to cover his checks? Show your work.

In summary, fy(a,b) is the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.

The given expression represents the partial derivative of f(x, y) with respect to y, evaluated at (a, b):

fy(a,b) = lim┬(y→b)⁡〖[f(a,y) - f(a,b)]/(y - b)〗

Geometrically, this partial derivative represents the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.

To see why this is the case, consider the following argument:

Let L be the limit in the expression given above.

Let h = y - b be the change in the y-coordinate from b to y.

Then, we can rewrite the limit as:

fy(a,b) = lim┬(h→0)⁡〖[f(a,b + h) - f(a,b)]/h〗

This expression represents the average rate of change of f(x, y) with respect to y over the interval [b, b + h].

As h approaches 0, this average rate of change approaches the instantaneous rate of change, which is the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.

Therefore, fy(a,b) is the partial derivative of f(x, y) with respect to y, evaluated at (a, b).

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False. let a be a real square matrix. if a is diagonalizable then a is symmetric

Explanation: Diagonalizability and symmetry are two different properties of a square matrix. A real square matrix A is diagonalizable if it can be transformed into a diagonal matrix D through a similarity transformation with an invertible matrix P, i.e., A = PDP^(-1). A matrix is symmetric if A = A^T, where A^T is the transpose of A.

While it is true that every symmetric matrix is diagonalizable, the converse is not necessarily true. In other words, not every diagonalizable matrix has to be symmetric.

Conclusion: The statement "if A is diagonalizable then A is symmetric" is false because diagonalizability does not guarantee symmetry.

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Using proportions, the lengths of the unknown sides are given as follows:

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the triangles are similar, hence the lengths of it's sides follow the proportion given next:

\(\frac{2x}{4} = \frac{5}{x - 3}\)

Applying cross multiplication:

2x(x - 3) = 20

2x² - 6x - 20 = 0

x² - 3x - 10 = 0

(x - 5)(x + 2) = 0.

Then the positive solution is:

x - 5 = 0 -> x = 5.

And the lenghts are:

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Answer:

Zoe has 6 cherries

Answer:

6

Step-by-step explanation:

if Ann had 4 cherries on her Ice Cream and it says that Ann had 2 fewer that Zoe. So Zoe should have 6 cherries.

\(4+2=6\)

Answer: 7/2 + 7b

Step-by-step explanation:

When applying the distributive property, you want to start by identifying which value you are distributing. That value in this case will be 7/8.

7/8 is going to be multiplied with 4, then multiplied with 8b, and you will then find the sum of those to products:

( (7/8) * 4 ) + ( (7/8) * (8b) )

The first product simplified will be 7/2.

The second product simplified will be 7b.

The sum of those two products is: 7/2 + 7b.

Hope this helps.

The equation for each situation, in terms of t are F = 293 - 47t and K = 329 - 59t.

Kaj is closer to the stadium 4 hours after noon.

In order to write a system of linear equations that could be used to model the situation, we would assign variables to Faith's distance and Kaj's distance respectively as follows:

Since Faith is 293 miles away from the stadium and is driving at a speed of 47 miles per hour, a linear equation that models the situation is given by;

F = 293 - 47t

For Kaj's distance, in miles, we have the following:

K = 329 - 59t

At t = 4 hours, we have:

Faith's distance, F = 293 - 47(4)

Faith's distance, F = 105 miles.

Kaj's distance, K = 329 - 59(4)

Kaj's distance, K = 93 miles.

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The minimum value of the expression x^2 + y^2 - 6x + 4y + 18 for real x and y is 13.

The minimum value of the expression x^2 + y^2 - 6x + 4y + 18 for real x and y can be found by completing the square.

Step 1: Rearrange the expression by grouping the x-terms and y-terms together:
x^2 - 6x + y^2 + 4y + 18

Step 2: Complete the square for the x-terms. Take half of the coefficient of x (-6) and square it:
(x^2 - 6x + 9) + y^2 + 4y + 18 - 9

Step 3: Complete the square for the y-terms. Take half of the coefficient of y (4) and square it:
(x^2 - 6x + 9) + (y^2 + 4y + 4) + 18 - 9 - 4

Step 4: Simplify the expression:
(x - 3)^2 + (y + 2)^2 + 13

Step 5: The minimum value of a perfect square is 0. Since (x - 3)^2 and (y + 2)^2 are both perfect squares, the minimum value of the expression is 13.

Therefore, the minimum value of the expression x^2 + y^2 - 6x + 4y + 18 for real x and y is 13.

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Answer:

7,291.67 soles

Step-by-step explanation:

Ecuación para el monto a pagar después de 5 meses utilizando interés simple

A = P (1 + rt)

P = 7000 soles

r = 10% meses

t = 5 meses

Cálculo:

Primero, convertir R por ciento en r en decimal

r = R / 100 = 10% / 100 = 0,1 por año.

Dedicar tiempo a los años por la simplicidad,

5 meses / 12 meses / año = 0,416667 años.

Resolviendo nuestra ecuación:

A = 7000 (1 + (0,1 × 0,416667)) = 7291,6669

A = 7,291.67 soles

El monto total que está pagando después de 5 meses = 7,291.67 soles

The situation you are describing, in which the value of the solution may be made infinitely large in a maximization linear programming problem or infinitely small in a minimization problem without violating any constraints, is known as (b) unbounded.

In linear programming, unboundedness occurs when there is no upper limit on the value of the objective function in a maximization problem or no lower limit in a minimization problem. This happens because the feasible region (i.e., the set of points that satisfy all the constraints) extends indefinitely in the direction that improves the objective function value.

To better understand this concept, let's break it down step-by-step:

1. Linear programming problems involve an objective function (which needs to be maximized or minimized) and a set of constraints.
2. The feasible region is formed by the intersection of all constraint boundaries and represents the solution space where all constraints are satisfied.
3. If the feasible region is unbounded, it means that there is no limit to the value of the objective function in the direction of optimization.
4. For a maximization problem, unboundedness means the solution value can be increased infinitely, while for a minimization problem, it can be decreased infinitely without violating any constraints.

It's important to note that unboundedness is not the same as infeasibility, semi-optimality, or infiniteness. Infeasibility occurs when there are no solutions that satisfy all constraints, semi-optimality refers to a situation where the optimal solution lies at the boundary of the feasible region, and infiniteness is not a standard term used in linear programming.

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Answer:

1/16 of the cereal is in each bowl

Step-by-step explanation:

Answer:

1/8  

Step-by-step explanation:

1/2 / 4

= 1/2 * 1/4

= 1/8.

Answer:

\(m=\frac{-1}{2}\)

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply plug in the 2 coordinates into the slope formula to find slope m:

\(m=\frac{-3-(-1)}{2-(-2)}\)

\(m=\frac{-3+1}{2+2}\)

\(m=\frac{-2}{4}\)

\(m=\frac{-1}{2}\)

For a random day with the standard deviation, the probability that there are less than 300 shoppers on a random day, is 0.00585.

Probability is a measure of the likelihood that an event will occur.

The average total number of shoppers on a grocery store in 1 day is 505; the standard deviation is 115.

Let, X be the random variable denoting the number of shoppers on a random day.

Then, X follows normal with mean 505 and standard deviation of 115.

Then, we can say that,

Z=(X-505)/115 follows standard normal with mean 0 and standard deviation of 1.

We have to find

P (250 <X< 450)

= P {(250-505)/155} < Z < {(450-505)/155}

= P (-1.64 <Z< -0.03)

Where, Z is the standard normal variate.

ρ = -1.64 <ρ< -0.03

Where, ρ is the distribution function of the standard normal variate.

From the standard normal table, this becomes

=0.00585

For a random day, the probability that there are less than 300 shoppers on a random day, is 0.00585.

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Answer:

\( \\b.( - 8 - 356781012)\)