Circle the error in the problem and rewrite what the correct step should be

Answer:

A

Step-by-step explanation:

Answer:

23 m, South

Step-by-step explanation: He traveled 25 m north then he went 48 m south so that means you would have to subtract 25 from 48 to get 23 m, south

Given that there are 52 well-shuffled cards and number of spades = 13, the probability of a picking a spade is evaluated as

When two or more events occur simultaneously, the probability of their occurrence is expressed as the multiplication of their individual probabilities.

Thus, when all 7 cards drawn are spades, the probability is evaluated as

Hence, the probability that they will all be spades is

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Answer:

  ∠Q = 89°

  ∠R = 123°

  ∠S = 91°

Step-by-step explanation:

It seems easiest to start by finding the measures of each of the arcs. The measure of an arc is double the measure of the inscribed angle it subtends.

  arc QRS = 2·∠P = 114°

So, ...

  arc QR = arc QRS - arc RS = 114° -41° = 73°

The total of the arcs around the circle is 360°, so ...

  arc PQ = 360° -arc PS -arc QRS

  arc PQ = 360° -137° -114° = 109°

__

  ∠Q = (1/2)(arc RS + arc PS) = (1/2)(41° +137°)

  ∠Q = 89°

__

  ∠R = (1/2)(arc PS +arc PQ) = (1/2)(137° +109°)

  ∠R = 123°

__

  ∠S = (1/2)(arc PQ +arc QR) = (1/2)(109° +73°)

  ∠S = 91°

The polygon has 21 sides whose interior angle are in Arithmetic Progression (A.P.)

The interior angles of a polygon are in an arithmetic progression (A.P) if the difference between any two consecutive angles is constant. To find the number of sides in a polygon given its smallest angle and the common difference of its interior angles, we can use the formula:

n = (180° - smallest angle) / common difference + 1, where n is the number of sides in the polygon.

In this case, the smallest angle is 100° and the common difference is 4°, so the number of sides can be calculated as follows:

n = (180° - 100°) / 4° + 1 = (80°) / 4° + 1 = 20 + 1 = 21.

Therefore, the polygon has 21 sides. It is important to note that a polygon with 21 sides is called an icosikaihenagon, which is a highly unusual and exotic shape, as most polygons have a smaller number of sides.

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Answer:

60

Step-by-step explanation:

A 3-digit number can be odd only when the third digit in it would be odd.

So,

The 3rd digit becomes the most limiting which can be (1, 3, or 5).

Now,

Since we have 3 alternatives to pick the third digit, it can be done in three ways. For every of these 3 ways, 5 digits will be left to select the 1st. Thus, the number of ways to select 3rd and 1st digit = 3 * 5 = 15 ways

After picking the 1st and 3rd digits, we are left with 4 ways to pick the other 4 digits. Thus, the total number of ways to select all the digits would be;

3 * 5 * 4 = 60 ways

Hence, 60 is the correct answer.

Answer: it’s undefined or 0

Step-by-step explanation:

Answer:

Undefined

Step-by-step explanation:

Slope= (y^2-y^1)/(x^2-x^1)

(x^1,y^1) and (x^2,y^2)

(9,4) and (9,-5)

SLOPE:

(-5-4)/(9-9)

-9/0

Undefined

kinda hard to show on brainy but there you go hope this helps

Answer:

Blank 1: incorrectly

Blank 2: no

Step-by-step explanation:

Blank 1:

The student did not properly distribute:

4( x + 4 ) = 4x + 16, NOT 4x + 4

4x + 4 = 4x + 16 [subtract 4x from each side]

4  = 16

An incorrect statement means that there are no solutions

Answer:

The price before tax at Barnes and Noble is $33, and the price before tax at Target is $33.25.

Step-by-step explanation:

Answer:

\(\Large \boxed{0.40 < 0.430 < 0.480 < 0.489}\)

Step-by-step explanation:

First you have to see the decimal places.

Than the number of digits there is.

So this is how we make it from least to greatest!

Since there is 3 numbers after the decimals in almost all of them...

Than let’s make ‘0.40’ into 3 numbers after the decimal too.

I am sure you have heard that if you add a ‘0’ to a decimal nothing will change right?

So let’s make 0.40 into 3 numbers after the decimal just like the other numbers!

Okay so first let’s add a zero to ‘0.40’... which now this turns into ‘0.400’

Now it will be more easier to compare least to greatest!

0.400 is the least, than comes 0.430, & than would be 0.480, & finally the greatest would be 0.489

Therefore the answer is 0.40 < 0.430 < 0.480 < 0.489.

The firm should produce good  x₁ = 4 and x₂ = 8 to minimize cost of C = x₁² + x₂² .

What is Lagrange multipliers ?

Lagrange multipliers is a method used in optimization problems to find the maximum or minimum value of a function subject to one or more constraints. The method involves introducing a Lagrange multiplier, which is a scalar variable, to the objective function and the constraint(s). This forms the Lagrangian function, which is then optimized with respect to the original variables and the Lagrange multiplier.

To minimize the cost C = x₁² + x₂²

We can use the method of Lagrange multipliers to solve this problem. Let's define the Lagrangian function L as:

L(x₁, x₂, λ) = x₁²+ x₂² + λ(400 - 5x₁²- 8x₁x₂ - 15x₂²)

Taking partial derivatives of L with respect to x₁, x₂, and λ, we get:

∂L/∂x₁ = 2x₁ - 10λx₁ - 8λx₂ = 0

∂L/∂x₂ = 2x₂ - 30λx₂ - 8λx₁ = 0

∂L/∂λ = 400 - 5x₁² - 8x₁x₂ - 15x₂² = 0

Solving these equations simultaneously, we get:

x₁ = 4

x₂ = 8

λ = 1/20

Hence, the firm should produce a combination of x₁ = 4 and x₂ = 8 to minimize the cost of C = x₁² + x₂² while satisfying the production quota of 400.

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Answer:

Step-by-step explanation:

Begin

If this is a rhombus then <8 = 90 degrees as do all the central angles. That's because the diagonals intersect at right angles.

<4 = 38                   z formation for parallel lines.

<7 = 52                   The angles are part of a right angle triangle. <7 +38 = 90

<2 = 52                   z formation of parallel lines (a rhombus has ll lines).

<3 = 38                   The diagonals of a rhombus bisect each other.

<5 = 38                   z formation for parallel lines.

<6 = 52                   The diagonals of a rhombus are angle bisectors.

<1 = 52                     The diagonals of a rhombus are angle bisectors.

circumference= 14

the radius of the circle.

\(r = \frac{c}{2\pi} \)

\( r= \frac{14}{2 \times \pi} \)

\(r = 2.22817\)

\(r = 2.23\)

hence the radius of the circle is 2.23

Answer:

15 + 2j

Step-by-step explanation:

Sum, which means addition, is used to say that 15 will be added to something.

That "something" is twice Jose's score, which is 2 * j, since j is the score.

15 + 2 * j, or just 15 + 2j

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Answer:

  B

Step-by-step explanation:

The only answer choice shown that has a midline value of -2 is the second one. This is confirmed by a graphing calculator.

Question:

Which of the following could be the equation of the function below?

Answer:

B. Y=0.5(4(x+pi/2))-2

Answer:

Step-by-step explanation:x+y+z=100(let x ,y,z represent the first second and third numbers respectively)

Therefore,y=2z

z=x-8

y=2x-16

substituting the values of x,y and z into the question,we have

x+(2x-16)+(x-8)=100

Simplifying,we have

4x-24=100

adding 24 to both sides of the equation,

4x=100+24

4x=124

dividing both sides of the equation by the co-efficient of x,we have

4x/4=124/4

4.31=124

therefore,x=31.

The inverse of matrix A, if it exists, is:

A^(-1) = [7/43, 2/43; 10/43, 9/43]

To find the inverse of a matrix A, we need to determine if the matrix is invertible by calculating its determinant. If the determinant is non-zero, then the matrix has an inverse.

Given the matrix A = [9, -2; -10, 7], we can calculate its determinant as follows:

det(A) = (9 * 7) - (-2 * -10)

= 63 - 20

= 43

Since the determinant is non-zero (43 ≠ 0), we can proceed to find the inverse of matrix A.

The formula to calculate the inverse of a 2x2 matrix is:

A^(-1) = (1/det(A)) * [d, -b; -c, a]

Plugging in the values from matrix A and the determinant, we have:

A^(-1) = (1/43) * [7, 2; 10, 9]

Simplifying further, we get:

A^(-1) = [7/43, 2/43; 10/43, 9/43].

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Answer:

$3584.86 or 3600 if rounded to the nearest 100 dollars

Step-by-step explanation:

1800(1.047)^15= 3584.86

you can plug this into a calculator

Answer:

3600

Step-by-step explanation:

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe  

rt

P=1800\hspace{35px}r=0.047\hspace{35px}t=15

P=1800r=0.047t=15

Given values

A=1800e^{0.047(15)}

A=1800e  

0.047(15)

Plug in

A=1800e^{0.705}

A=1800e  

0.705

Multiply

A=3642.92403286

A=3642.92403286

Use calculator (with e button)

A\approx 3600

A≈3600

Round to nearest hundred dollars

Answer:

9

Step-by-step explanation:

Answer:

{7, 9}

(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)

Step-by-step explanation:

We have to find the set of whole number greater than and equal to 7 from 1 to 10,

Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,

And of these, 7 and 9 are equal to or greater than 7

So, we get the set,

{7, 9}

Answer:

C - 100

Step-by-step explanation:

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Answer:

  C.  100°

Step-by-step explanation:

Consecutive (same-side) exterior angles are supplementary.

  ∠1 = 180° -∠7 = 180° -80°

  ∠1 = 100°

The distance between points M(6,16) and Z(-1,14) to the nearest tenth is 5.4 units.

The formula for calculating the distance between two points is expressed as:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\)

Given the coordinates M(6,16) and Z(-1,14)

Substitute the given coordinates into the formula

\(D = \sqrt{(-1-6)^2+(14-16)^2} \\D =\sqrt{(-5)^2+(-2)^2}\\D=\sqrt{25+4}\\D=\sqrt{29}\\D = 5.38\\D \approx 5.4 units\)

Hence the distance between points M(6,16) and Z(-1,14) to the nearest tenth is 5.4 units.

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The values are evaluated to give;

h(-3) = 0

h(0) = -9

h(5) = -24

A function can simply be defined as laws, rules or expression that shows the relationship between two variables in an equation.

The variables are termed;

We have the function as;

h(x) = -3x - 9

When the value of x = -3

Substitute the value into the equation

h(-3) = -3(-3) - 9

expand the bracket

h(-3) = 9 - 9

h(-3) = 0

When the value of x = 0

Substitute the value

h(0) = -3(0) - 9

expand the bracket

h(0) = 0 - 9

h(0) = - 9

When x = 5

h(5) = -3(5) - 9

h(5) = -15 - 9

h(5) = -24

Hence, the values are 0, - 9 and -24

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Answer:

D = 110

Step-by-step explanation:

Given,

In a parallelogram ABCD,

∠A =70∘

∠A + ∠B = 180∘.. (supplementary angles)

∠B = 180∘ – 70∘ = 110∘

∠A = ∠C and ∠B = ∠D.. (Opposite angles of parallelogram)

∠A = 70∘, ∠B = 110∘, ∠C = 70∘, ∠D = 110

For us to reduce the total cost of the food order by at least $5.00, we do the following:

Cost reduction is  described as the process used by companies to reduce their costs and increase their profits with varying strategies used.

All the process we took in reducing the cost of the scenario described above is one strategy of cost reduction.

Cost reduction is very beneficial as it  help in making goods available to the consumers at cheaper rates thereby  creating  more demand for the products, economies of large scale production.

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Answer:

3/2 and 3/4 are both not multiples of 1/3.

Step-by-step explanation:

They have to have 3 as the denominator (or the number below the line) to be a multiple of 1/3. For example: 1/3, 2/3, 3/3.

Hope you understand that! :)

Answer:

Explanation Below :)

Step-by-step explanation:

3/2 & 3/4 are mistakes

When finding three multiples of a number that is a fraction, the denominator (bottom number) always stays the same. So, 3/2 & 3/4 are not multiples of 1/3.