Round 782,317.772 to the nearest whole number.

Answer:

10441

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

1576/8=197

197 cellphones made per hour

197*53=10441

Answer:

10,441

Step-by-step explanation:

The length of AD is 1 unit.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Let us solve the question

In Δ ABC

∠B is a right angle

BD is perpendicular to the hypotenuse AC

(AB)² = AD × AC ⇒ rule

AB = 3 units

AC = 9 units

Let AD = x

Substitute them in the rule above

(3)² = x × 9

9 = 9x

Divide both sides by 9

x=1

Hence, the length of AD is 1 unit.

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Question

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 3 and AC = 9, what is the length of AD? (Note: the figure is not drawn to scale.)

Answer:

$31.20

Step-by-step explanation:

Go*gle

Answer:

31.2

Step-by-step explanation:

For now, let's say $40 = x

x - 22% = 78%

78% = 0.78

After the 22% markdown, 78% of 40 is left.

To find 78% of 40 = 40*0.78

40 * 0.78 = 31.2

Hope this helps :)

The number of cannonballs in illustration is 506.

Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.

The number of cannonballs in the first layer = 1² = 1

Number of cannonballs in the second layer = 2² = 4

Number of cannonballs in the third layer = 3² = 9

So, the generalized formula to count the balls is given as

= n(n + 1) (2n + 1)/ 6

Here, n= the total number of layers

Put n =11

11(11 + 1)(2(11) + 1) / 6

= 11(12)(23)/6

= 3036/6
= 506

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Since the diagram is symmetric ,

so,

Considering the triangle PQT is,

Using the pythagoras theorem on triangle PQT,

Hence, the value of QT is 10.24

There are 8 possible outcomes, so the probability of each one is 1/8

Then, for each event, if for example we check 3 options, the probability will be 3 times 1/8, that is, 3/8.

So let's analyse each event:

A: Even number on the second roll

The possible outcomes are:

OEO, OEE, EEO, EEE.

Probability: 4/8 = 1/2

B: No odd numbers in position 2 and 3

The possible outcomes are:

OEE, EEE

Probability: 2/8 = 1/4

C: More odd numbers than even numbers

Possible outcomes:

OOE, OEO, EOO, OOO

Probability: 4/8 = 1/2

According to the information, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely.

In probability, an event is considered likely if its probability is high, and it is considered unlikely if its probability is low. An event is considered neither likely nor unlikely if its probability is close to 0.5 or 50%. In this case we have to consider the probability of each option to establish a conclusion. Here is the analysis:

According to the above, the event C, getting heads when flipping a coin, is considered neither likely nor unlikely because its probability is exactly 0.5 or 50%.

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Answer:

10z+10z+2+2+8z-8=20z+4

The height of cylinder when volume of 480 cubic meters is  480/r^2.

Volume serves as a measure for an object's storage capacity. For instance, a cup's volume is said to be 100 ml if it can hold 100 ml of water when filled to the brim. The amount of space a three-dimensional object occupies is another way to define volume.

A solid's volume can be calculated by counting how many unit cubes it contains, such as in the case of a cube or cuboid. The best way to understand volume is to think of it as the area surrounded or occupied by any solid object or object with three dimensions. This can be seen by performing the following easy exercise at home:

volume of cylinder V is = πr²h

where, r  = radius of cylinder

h = height of cylinder

V = 480π cubic meters

Now, calculate its height in terms of cylinder radius using the volume of cylinder formula:

V = πr²h

480π =  πr²h

h = 480π/ πr²2

h = 480/r²

Therefore, The height of cylinder when volume of 480π is  480/r².

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Answer:

No

Step-by-step explanation:

100 - 99 = 1.

He left 1% of pizza.

Therefore, the answer is no.

Answer:

no ◇◇

Step-by-step explanation:

I hoped I helped ◇◇

The outcomes that are contained in the events are

1 - P(X) = 4/5 and 1 - P(X) is the same as P(Not X)

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

X = gray colours

Given that

gray colours = 3 and 10

We have

X = 3 and 10

Not X =1, 2, 4, 5, 6, 7, 8

The probability is then calculated as

P(X) = 2/10 = 1/5

For P(Not X), we have

P(Not X) = 1 - 1/5 = 4/5

In (a), we have

P(Not X) = 1 - 1/5 = 4/5

This means that

P(Not X) = 1 - P(X)

So, the solution is

1 - P(X) = 4/5

Using the above (a) and (b) as a guide, we have the following:

1 - P(X) is the same as P(Not X)

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Since the probabilities lie exclusively between 0 and 1 and the sum of probabilities is equal to 1 , therefore the yes , the distribution is discrete probability distribution.

As the probabilities range from 0 to 1, and the sum of probability equals 1.

Discrete probability distribution is a sort of probability distribution that provides all potential values of a discrete random variable along with the related probabilities. In other words, a discrete probability distribution describes the possibility of each potential value of a discrete random variable occurring.

Some common discrete probability distributions are geometric distributions, binomial distributions, and Bernoulli distributions. This page defines a discrete probability distribution, as well as its formulas, types, and numerous instances.

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The area of triangle FGH is given as follows:

15.05 units².

The area of a triangle is given by half the multiplication of the base length by the height.

The base length is given by the distance between points F and G, hence:

b = sqrt((-2 - (-4))² + (6 - 1)²)

b = 5.385.

The coordinates of the midpoint of segment FG are given as follows:

The distance between the midpoint and vertex H is the height, given as follows:

h = sqrt((-3 - 2)² + (3.5 - 6)²)

h = 5.59.

Hence the area of the triangle is given as follows:

A = 0.5 x 5.385 x 5.59

A = 15.05 units².

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Answer:

is it twelve ?

Step-by-step explanation:

:-|

Answer: The value of x is 49.

Step-by-step explanation:

To find the value of x, you will first need to cross multiply the fractional variables together.

5x - 80 = 3x + 18

Then, move the numerical term 80 to the right side of this equation and add it to 18.

5x - 80 = 3x + 98

Move 3x to the left side of the equation and subtract it this time to the variable 5x.

2x = 98

Finally, you divide both of the equation's sides by 2 and you will get 49.

x = 49

When you actually add x to this problem, you would get 33/55.

49 - 16/49 +6 = 33/55

You can then simplify 33/55 and get the same answer 3/5.

3/5

Therefore, the value of x for this variable equation with the fractions would be equal to x = 49. Hope this helps!

-From 5th Grader Honors Student

A store sells 5 oranges and 10 apples.

What is the cost amount?

The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.

Here, we have

Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.

We have to determine how many of each type of fruit were sold.

We, let the oranges be x.

let the apples be y.

x + y = 15...(1)

1x + 2y = 25...(2)

We subtract equation(2) from equation(1), we get

y = 10

Now we put the value of y in equation (1) and we get

x + 10 = 15

x= 5

Hence, a store sells 5 oranges and 10 apples.

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True, The dimension of the eigenspace for each eigenvalue equals the multiplicity.

Eigenvalues are a unique set of scalar values connected to a set of linear equations that are most likely seen in matrix equations. The characteristic roots are another name for the eigenvectors. It is a non-zero vector that, after applying linear transformations, can only be altered by its scalar factor.

When a linear transformation is done to an eigenvector, a set of eigenvectors called an eigenspace is created for each eigenvalue. In many cases, the linear transformation uses a square matrix (a matrix that has the same number of columns as it does rows).

yes, it is true that the dimension of an eigenspace of a symmetric matrix is sometimes less than the multiplicity of the corresponding eigenvalue.

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Answer:

Step-by-step explanation:

\(6x-10=-8+3x\\\\\mathrm{Add\:}10\mathrm{\:to\:both\:sides}\\6x-10+10=-8+3x+10\\\\\mathrm{Simplify}\\6x=3x+2\\\\\mathrm{Subtract\:}3x\mathrm{\:from\:both\:sides}\\6x-3x=3x+2-3x\\\\Simplify\\3x=2\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{2}{3}\\\\Simplify\\x=\frac{2}{3}\)

Answer:

x = 2/3

Step-by-step explanation:

This equation can be solved by using conventional algebraic techniques.

We firstly want to make sure to get our constants on one side of the equation and then get our variables on the other.

6x - 10 = -8 + 3x Subtract 3x from both sides of the equation.

3x - 10 = -8 Add 10 to both sides of the equation.

3x = 2 Divide by 3 on both sides of the equation.

x = 2/3

Then, you can voluntarily check your answer.

6(2/3) - 10 = -8 + 3(2/3)

4 - 10 = -8 + 2

-6 = -6

Order of the tiles D, C, E, A

A square root of a number is a value of a number(other than the original number) that when multiplied by itself gives the original number. A square root of a number will be in the form of a².

Here are some examples of the square root of a number

√4 = 2 [ since 2 × 2 = 4 ]

√9 = 3 [ since 3 × 3 = 9 ]  

Here we have

1. √90 - √40

2. (√35 - √42) / (√5 - √6)

3. 2√27 - √48  

4. (√54 -√24)/√18 - √8  

Each problem can be solved as given below

1. √90 - √40

= √9 × 10 - √4 × 10  

= 3√10 - 2√10

= √10 = 3.16227

2.  (√35 - √42) / (√5 - √6)  

= (√5 × √7 - √7 × √6 ) / (√5 - √6)  

= √7 [√5 - √6 ] / (√5 - √6)  

= √7  = 2.64575

3. 2√27 - √48  

= 2√9×3 - √16×3

= 6 √3 - 4√3

= 2√3 =  3.46410

4. (√54 -√24)/√18 - √8  

= (√9×6 - √4×6)/√9×2 - √4×2 )

= (3√6 - 2√6)/3√2 - 2√2 )  

= (√6) / √2 )

= 1.73205

The resultant decimal numbers are

3.16227, 2.64575, 3.46410, and 1.73205.

And the order of the decimal numbers is

1.73205 < 2.64575 < 3.16227 < 3.46410

Therefore,

Order of the tiles D, C, E, A

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Answer:

the poet's mood is that of disappointment, following the poor governance of the country, that is rich in human and natural resources. Tone: the poem has the tone of ” calls for hybrid of habits ” as advocated by the forest sage

Answer:

D

Step-by-step explanation:

(16x +1) -5x

you basically subtract the -5x from 16x

11x +1

Step 1

Given;

Required; To define a variable and write an equation that can be used to find the number of hours it will take for the temperature to reach 59°F.

Step 2

Let the variable use to represent the hour be x

We model the required equation using the model of the equation of a line.

Step 3

Find the number of hours it will take for the temperature to reach 59°F.

Hence, it will take 4 hours for the temperature to drop to 59°F.

a. The absolute value of a number is the distance of the number from zero on a number line. It is always a non-negative value, meaning that it is either zero or a positive number. It is denoted by two vertical bars surrounding the number, like |x|.

b. The absolute value of -109 is the distance of -109 from zero on a number line. Since -109 is 109 units away from zero, the absolute value of -109 is 109. Therefore, |-109| = 109.

c. First, we need to evaluate |-7|, which is the absolute value of -7. The distance of -7 from zero on a number line is 7 units, so |-7| = 7. Therefore, the expression |-7| - 2 is equivalent to 7 - 2, which is equal to 5. Therefore, |-7| - 2 = 5.

Considering the definition of an equation and the way to solve it, the smallest four integers are 8, 10, 12, 14.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values appear.

The members of an equation are each of the expressions that appear on both sides of the equal sign.

The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:

Being "x" n any integer, and knowing that:

So, the equation in this case is:

(2n + 2n +2 + 2n +4 + 2n + 6)÷ 4= 11

Solving:

(8n +12)÷ 4=11

8n +12= 11× 4

8n +12= 44

8n= 44 -12

8n= 32

n= 32 ÷ 8

n= 4

Then, the smallest four integers can be calculated as:

Finally, the smallest four integers are 8, 10, 12, 14.

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The adjusting journal entry will include a debit to the allowance for credit losses of R4,400.

the correct answer is C. debit to allowance for credit losses of R4,400.

To determine the adjusting journal entry for J&amp;L Electrical Services, we need to calculate the ending balance of accounts receivable and the necessary adjustment for the allowance for credit losses.

Beginning balance of accounts receivable: R200,000

Services delivered on credit: R660,000

Collections from debtors: R640,000

To find the ending balance of accounts receivable, we subtract the collections from the sum of the beginning balance and services delivered on credit:

Ending accounts receivable = (Beginning balance + Services delivered) - Collections

Ending accounts receivable = (R200,000 + R660,000) - R640,000

Ending accounts receivable = R220,000

Now, we need to calculate the adjustment for the allowance for credit losses. J&amp;L Electrical Services estimates that 2% of the ending accounts receivable will not be collected:

Allowance for credit losses adjustment = Ending accounts receivable * Estimated uncollectible percentage

Allowance for credit losses adjustment = R220,000 * 2% = R4,400

Since the allowance for credit losses has a beginning balance of R4,000, we need to increase it by R4,400 to match the estimated uncollectible amount:

the correct answer is C. debit to allowance for credit losses of R4,400.

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The correct two - way frequency table for the data on High School Students, and the kind of band they want to play at the school dance, is:

                                                     Rap          Rock           Country      Total

Grades 9 - 10                                40              30                55              125

Grades 11 - 12                                60              25                35              120

Total                                              100              55                90             245

Option A is therefore correct.

In a two-way frequency table, there will be totals for both the rows and the columns.

The totals for the rows in this instance are:

Grade 9 - 10 totals :

= 40 + 30 + 55

= 125

Grade 11 - 12 :

= 60 + 25 + 35

= 120

The totals for the columns are:

Rap totals :

= 40 + 60

= 100

Rock :

= 30 + 25

= 55

Country :
= 55 + 35

= 90

Two-way frequency tables allow for us to be able to conclude on the event described by looking at totals from both the columns and the rows. This gives a clearly understanding on preferences and categories.

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Answer: B

Step-by-step explanation: I had this question before.

1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

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Answer:

  x -4y = -24

Step-by-step explanation:

Given the equation of a line in standard form, you can write the equation of the perpendicular line by swapping the coefficients and negating one of them. The constant needs to be adjusted to make the equation true at the point you want the line to pass through.

  4x +y = 7 . . . . given line

  x -4y = constant . . . . equation with coefficients swapped, one negated

  x -4y = (-4) -4(5) = -24 . . . . equation with appropriate constant

An equation for the desired line is ...

  x -4y = -24

__

Additional comment

The standard form equation has a positive leading coefficient, so the choice of which coefficient to negate will take that into account.

The slope of the standard form line ...

  ax +by = c

is m = -a/b.

The slope of the perpendicular line is the opposite reciprocal of this:

  m' = -1/m = b/a

You can see that this swaps the coefficients and negates one of them.

Answer:

(a) Yes, E and F are independent events.

(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4