Missy wants to find the surface area of a snack box in her pantry her work is shown below

Answer:

Step-by-step explanation:

Your calculator or a spreadsheet can help you do this. The rules of exponents apply.

  (10^a)(10^b) = 10^(a+b)

__

(2×10^8)(2×10^-2) = 4×10^6

40×10^5 = 4×10^6

40^6 = 4.096×10^9

400,000 = 4×10^5

1.2×10^9/3×10^2 = 4×10^10   or  1.2×10^9/(3×10^2) = 4×10^6 (see note)

_____

Note: A multiplier that is a power of 10 is one factor of a product. A product does not go into the denominator of a fraction unless it has parentheses around it. a/bc = (a/b)c ≠ a/(bc) (This is a consequence of the Order of Operations.)

Answer:

  x = 1

Step-by-step explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

  (43x +2)° +135° = 180°

  43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

  x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

__

Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

<95141404393>

The city's population in 2020 will be around 103,100 people.

To Determine the population in 2015 after it increased by 8% since 2010:

Population in 2015 = 2010 population + (2010 population x Growth Rate)

In 2015, the population was 101,000 plus (101,000 x 0.08).

In 2015, the population was 109,080 people.

To Determine the population in 2020 after it has decreased by 5.7% since 2015:

Populationm in 2020 = 2015 population minus (2015 population x Fall Rate)

2020 population = 109,080 - (109,080 x 0.057)

2020 population = 103,080.60

Round the 2020 population to the next 100 people:

2020 Rounded Population = 103,100

As a result, the city's population in 2020 will be around 103,100 people.

Learn more about population at https://brainly.com/question/25896797

#SPJ1

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

it is 385$ because if you divide 70 by 2 you get 35 which is your constant rate so then you divide 77 by 7 to get the number of weeks(11) so then you multiply 11x35 to get the answer of 385

Step-by-step explanation:

70 divided by 2 = 35

77 divided by 7 = 11

35 times 7 = 385

Answer:

C. 385

Step-by-step explanation:

2/70 first you find out the rate by dividing both top and bottom by 2 and you get

1/35 that means every week he is saving $35

77 days = 11 weeks

so you do 11 * 1 = 11 and

11*35 which gets you

385

hope this helps, please make brainliest

The given statement is false. If the characteristic polynomial of a matrix A factors into a product of linear factors, then A is not necessarily diagonalizable.

By definition, a matrix A having characteristic F is diagonalizable if and only if the following 2 conditions are met-

Hence, we can conclude that the given statement is false. If the characteristic polynomial of a matrix A factors into a product of linear factors, then A is not necessarily diagonalizable.

Learn more about eigenvalues here-

https://brainly.com/question/15586347

#SPJ4

Answer:

i would say around 61.54%

Step-by-step explanation:

maybe simplify it

Answer:

17

Step-by-step explanation:

Using the base angles theorem, \(x+4=4x+1 \implies x=1\).

So, the perimeter is \(4(1)+1+1+4+7=17\).

Answer:

explanation

Step-by-step explanation:

4. 12 * b * 0 = 0

Anything multiplied by 0 is 0

5. 1 * m * 24 = 24m

   24 * 1 = 24

   24 * m = 24m

6. (t + 15) + 0 = t + 15

You can't add variables with constants.

The expression that represents the total amount that they'll pay if they tip 20% will be 0.2 + m, because dollars are taxed. so option D is correct.

An equation represents equality of two or more mathematical expression.

When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

It is given that a group of friends ate a meal in a restaurant, and the cost of their bill is m.

We need to find the expression that represents the total amount that they'll pay if they tip 20%.

So we know that,

20% = 0.20

The cost of their bill = m.

The total amount they'll pay including tip = 0.2 + m

Therefore, the expression that represents the total amount that they'll pay if they tip 20% will be 0.2 + m, because dollars are taxed. so option D is correct.

Learn more about solving equations here:

https://brainly.com/question/18015090

#SPJ2

Answer:

\(24\pi \: {cm}^{2} \)

Step-by-step explanation:

Given:

A cone

h (height) = 4 cm

r (radius) = 3 cm

Find: A (surface area) - ?

In order to find the surface area, we have to know the length of the slant height first (use the Pythagorean theorem):

\( {l}^{2} = {r}^{2} + {h}^{2} \)

\( { l}^{2} = {3}^{2} + {4}^{2} = 9 + 16 = 25\)

\(l > 0\)

\(l = \sqrt{25} = 5 \: cm\)

Now, we can find the surface area:

\(a(surface) = \pi {r}^{2} + \pi \times r \times l\)

\(a(surface) = \pi \times {3}^{2} + \pi \times 3 \times 5 = 9\pi + 15\pi = 24\pi \: {cm}^{2} \)

The optimal Bayesian classifier is the one that minimizes the probability of misclassification. This can be achieved by choosing the class that has the highest posterior probability given the observed data. In this case, we need to compare the conditional class probabilities P2(t) and P0(I) for each data point and choose the class with the higher probability.

To find the optimal Bayesian classifier, we need to find the values of a and b that define the decision boundary between the two classes. This can be done by setting P2(t) = P0(I) and solving for x:

P2(t) = P0(I)
Pr(Y; = 1|X, = x) = Pr(Y; = 0[Xi = 1)
1 - P2(I) = P2(I)
2P2(I) = 1
P2(I) = 0.5

Now we can solve for x to find the decision boundary:

0.5 = Pr(Y; = 1|X, = x)
0.5 = P2(I)
x = a + b

Therefore, the optimal Bayesian classifier is of the form:

if Xe [a, b] then yi = 1
if Xe [b, a] then yi = 0

where a and b are the values of x that satisfy P2(I) = 0.5.

https://brainly.com/question/3173347

#SPJ1

Answer:

I believe it is f(2) = 12

Step-by-step explanation:

I don't know if the * symbol is supposed to be an x but if it is, it would be 12x instead of 12.

The correct value of Z for the solution to true system is -2

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

2x + 3y - z = 4

x - 3y + 2z = -3

3x + y - z = 5

Transform the third equation

So we have

2x + 3y - z = 4

x - 3y + 2z = -3

9x + 3y - 3z = 15

Eliminate y in the equations by subtraction

So we have

x - 3z = 7

10x - z = 12

Multiply x - 3z = 7 by 10

10x - 30z = 70

10x - z = 12

Subtract the equations

-29z = 58

So, we have

z = -2

Hence, the correct value of Z  is -2

Read more about equations at

https://brainly.com/question/148035

#SPJ1

The quadrilaterals have the following congruent angles: ∠ A ≅ ∠ W, ∠ B ≅ ∠ X, ∠ C ≅ ∠ Y, ∠ D ≅ ∠ Z.

Herein we find the case of two similar quadrilaterals, that is, two quadrilaterals that have four pairs of congruent angles and four pairs of proportional sides.

Thus, by direct observation, we have the following conclusions on congruence of angles and proportionality of sides:

Angles

∠ A ≅ ∠ W

∠ B ≅ ∠ X

∠ C ≅ ∠ Y

∠ D ≅ ∠ Z

Sides

AB / XW = BC / XY = CD / YZ = AD / WZ

To learn more on congruent angles: https://brainly.com/question/2789152

#SPJ1

The effect of the decrease on the salary of $54000 will be b. Benefit would decrease by $7,020 annually.

Social security is the safety net that a society offers to individuals and families to ensure that they have access to health care and to assure financial stability, particularly in circumstances of old age, unemployment, illness, invalidity, work injuries, maternity, or the death of a primary earner.

One possible solution to a diminishing Social Security payroll is to decrease the Social Security benefit by 13%. The effect of the decrease will be:

= 13% × $54000

= $7020

Learn more about social security on:

https://brainly.com/question/3521473

#SPJ1

Answer:

m = - 1 , m = 0 , m = \(\frac{7}{2}\)

Step-by-step explanation:

2m³ - 5m² - 7m = 0 ← factor out common factor m from each term

m(2m² - 5m - 7) = 0

factorise the quadratic 2m² - 5m - 7

consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term

product = 2 × - 7 = - 14 and sum = - 5

the factors are + 2 and - 7

use these factors to split the m- term

2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )

2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term

(m + 1)(2m - 7)

then

2m³ - 5m² - 7m = 0

m(m + 1)(2m - 7) = 0 ← in factored form

equate each factor to zero and solve for m

m = 0

m + 1 = 0 ( subtract 1 from both sides )

m = - 1

2m - 7 = 0 ( add 7 to both sides )

2m = 7 ( divide both sides by 2 )

m = \(\frac{7}{2}\)

solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)

The additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria is

EJ ≅ GJ. Option A

We need to know the properties of a parallelogram, we have;

We know that FJ  ≅ JH, it's given by the marks, now if it were to happen that EJ ≅ GJ, that would mean that the diagonals on that quadrilateral are bisecting each other, and if that's so, then the quadrilateral it's indeed a parallelogram.

Learn more about quadrilaterals at: https://brainly.com/question/23935806

#SPJ1

The complete question:

What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?

A)

ej ≅ gj

B)

ej || gj

C)

fg || eh

D)

ef ≅ hg

The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

For more such questions on square root

https://brainly.com/question/428672

#SPJ8

Thus, 715,000 =  7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.

The number of times that decimal point must be moved to obtain a number between 1 and 10 is the exponent in scientific notation. The decimal point is shifted to the left in order to represent this number in scientific notation.

The main goal of scientific notation is to simplify computations using numbers that are abnormally large or small. With scientific notation, every digit counts because zeros are just no longer used to denote the decimal point.

Given expression:

715,000 __ 7.15 x 10⁵

LHS = 715,000

Take the RHS value :

= 7.15 x 10⁵

This, can be simplifies as:

= 7.15 x 100,000

Now multiply the two values,

= 715,000 (RHS values)

as, LHS  = RHS

LHS = 715,000

715,000 (RHS values)

Thus, 715,000 =  7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.

Know more about the scientific notations:

https://brainly.com/question/1767229

#SPJ1

Given:

The objective is to find inverse of the function.

Consider the given function as,

The inverse of the function can be calculated by replacing the varibales x and y of the function.

Then, the function will be,

Now, solve for y.

Thus, the inverse function is,

Hence, the required inverse of the function is obtained.

Answer:

= ( $18.2, $18.8)

Therefore, the 98% confidence interval (a,b) = ( $18.2, $18.8)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $18.50

Standard deviation r = $6.10

Number of samples n = 2253

Confidence interval = 98%

z(at 98% confidence) = 2.33

Substituting the values we have;

$18.5+/-2.33($6.1/√2253 )

$18.5+/-2.33($0.128513644290)

$18.5+/-$0.299436791196

$18.5+/-$0.3

= ( $18.2, $18.8)

Therefore at 98% confidence interval (a,b) = ( $18.2, $18.8)

The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

1. Start with the given equation: 2-3cos(x) = 5+3cos(x).

2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.

3. Combine like terms: 2-6cos(x) = 5.

4. Subtract 2 from both sides: -6cos(x) = 3.

5. Divide both sides by -6: cos(x) = -1/2.

6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.

7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.

8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.

9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

For more such questions on equation, click on:

https://brainly.com/question/17145398

#SPJ8

The value of m ∠ABD will be;

⇒ ∠ ABD = 50°

Parallel lines are those lines that are equidistance from each other and never intersect each other.

Given that;

In the diagram, the parallel lines are cut by transversal BC.

And,  BD bisects ∠ABC and m∠3 = 80.

Now,

Since, The parallel lines are cut by transversal BC.

Hence, We get;

⇒ ∠ 3 + ∠ 2 = 180°

⇒ 80° + ∠ 2 = 180°

⇒ ∠ 2 = 180 - 80

⇒ ∠ 2 = 100

And, We have;

⇒ ∠ 2 = ∠ ABC

⇒ ∠ ABC = 100°

Since, BD bisects ∠ABC.

Hence, We get;

⇒ ∠ ABD = 100 / 2

⇒ ∠ ABD = 50°

Thus, The value of m ∠ABD = 50°

Learn more about the parallel lines visit:

https://brainly.com/question/26961508

#SPJ1

Answer:

a = 4

Step-by-step explanation:

first, you are supposed to subtract both sides by 6 so you will get:

                                          6 - 4a = -10

                                         -6            -6

                                          -4a = -16

Then, you divide both sides by -4 to cancel out the -4 before the "a"

                                          -4a = -16

                                          -4      -4

Last, you will get a = 4 and that is your answer because when you divide a negative number by another negative number, you will get a positive number.

The property applied is the associative property

There are several algebraic properties in mathematics; each of which have their own applications

Some of these properties are:

The mathematical expression is given as:

\(13 \cdot (20 \cdot 5)\)

And it is calculated as follows:

\(13 \cdot (20 \cdot 5) = 13 \cdot 100\)

\(13 \cdot (20 \cdot 5) = 13 00\)

The property applied above is the associative property

Read more about mathematical properties at:

https://brainly.com/question/10628093

question:

where is the question mam?

The area of the rectangle is 27/70 square feet.

The area of a rectangle is given by the formula:

Area = base x height

Plugging in the given values, we get:

Area = (3/7) x (9/10)

Simplifying, we get:

Area = (27/70) square feet

Therefore, the area of the rectangle is 27/70 square feet.

More on the area of rectangles can be found here: https://brainly.com/question/20693059

#SPJ1