Pick the digit in the one billion place 263,136,816,799

Answer:

1.3% decrease

Step-by-step explanation:

% change = (9.69 - 9.56) / 9.69) x 100 = 1.3% decrease

9.69-9.56 = 0.13

0.13/0.69= 0.0134158972

Multiply by 100 and you get 1.34158927

Round to nearest tenth and you get = 1.3%

Therefore, the percentage decrease is 1.3

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

Tο cοmplete the assignment, use the tried-and-true straightfοrward methοdοlοgy, the real variables, and any pertinent details frοm the preliminary and specialized questiοns. In respοnse, custοmers might be given anοther οppοrtunity tο range sample the prοducts. In the absence οf such changes, majοr advances in οur knοwledge οf prοgrammes will be lοst.

Here,

We must divide the tοtal cοst by the quantity οf cupcakes in οrder tο determine the unit cοst οf each οptiοn:

Twelve cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  Unit cοst: $29 fοr 12 cupcakes.

=>  $2.42 is the unit cοst per cupcake.

Tο make 24 cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=> 24 cupcakes equals $56 fοr the unit.

=>  $2.33 is the unit cοst per cupcake.

50 cupcakes =

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  $129 fοr a unit οf 50 cupcakes.

=>  Unit cοst: $2.58 fοr each cupcake

As a result, 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

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The equation of logarithm are solved and

a) A = 2 + 3 log x + 4 log b

b) B = ( 36 + x + y ) ( log 6 )

c) C = ( 1/2 )x log 5

d) D = ln ( x⁴ / y² )

Given data ,

Let the logarithmic equation be represented as A

Now , the value of A is

a)

A = 2 log 10 + 3 log x + 4 log b

The base of the logarithm is 10 , so

A = 2 + 3 log x + 4 log b

b)

B = log 6³⁶ + log 6ˣ - log 6^ ( y )

From the properties of logarithm , we get

log A + log B = log AB

log A − log B = log A/B

log Aⁿ = n log A

B = 36 log 6 + x log 6 + y log 6

On taking the common term , we get

B = ( 36 + x + y ) ( log 6 )

c)

C = ( 1/2 )log 5ˣ

From the properties of logarithm , we get

C = ( 1/2 )x log 5

d)

D = 4 ln x - 2 ln y

From the properties of logarithm , we get

D = ln x⁴ - ln y²

On further simplification , we get

D = ln ( x⁴ / y² )

Hence , the logarithmic equations are solved

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The exponent is 81\(m^{} 4\) \(n^{20}\)

An exponent is a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression.

Here we have to determine the sign for exponential or radical expression

(-3m\(n^{5}\))^4

Simplify using the exponent rule with the same exponent \((ab)^{n}\) = \(a^{n}\) . \(b^{n}\)

Similarly

(-3m\(n^{5}\))^4

= \((-3)^{4}\) . \(m^{4}\). \((n^{5} )^{4}\)

Now using the exponent  power rule \((a^{n} )^{m}\) = \(a^{nm}\). We get

= 81 . \(m^{4}\).\(n^{20}\)

Therefore the exponent as a product of power is 81\(m^{4} n^{20}\).

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Answer:14+14=28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

14+14=28

If m = -5 or m = 3, the system of linear equations has no solution.

To determine the values of m for which the system of linear equations has no solution, we need to check the determinant of the coefficient matrix, which is:

| 3 m |

| m+2 5 |

The determinant is

=  (3 x 5) - (m x (m+2))

= 15 - m^2 - 2m

= -(m^2 + 2m - 15)

= -(m+5)(m-3)

So, for the system to have no solution, the determinant must be zero, so we have:

-(m+5)(m-3) = 0

This gives us two values of m: m = -5 and m = 3.

Thus, if m = -5 or m = 3, the system of linear equations has no solution.

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Answer:

x=2,y=3

Step-by-step explanation:

x-2=0

x=2

y-3=0

y=3

The amount Siya will spend on tiles is given by the expression (1.1 x T / 6) x R234, where T represents the required number of tiles. To calculate the amount Siya will spend on tiles, we need to determine the number of boxes of tiles he needs to purchase and then multiply it by the price per box.

First, we need to determine the number of tiles required. Let's assume the required number of tiles is represented by the variable "T."

Since the builder recommends buying 10% more tiles in case of breakages, Siya needs to purchase 110 percentage of the required number of tiles. This can be calculated as:

110% of T = 1.1 x T

Next, we need to convert the number of tiles into the number of boxes required. We know that one box contains 6 tiles, so the number of boxes Siya needs to purchase is:

Number of boxes = (1.1 x T) / 6

Finally, we can calculate the total cost by multiplying the number of boxes by the price per box:

Total cost = (1.1 x T / 6) x R234

Please note that without knowing the specific number of tiles required (T), we cannot provide an exact amount Siya will spend.

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Answer:

the aswer is A

Step-by-step explanation:

Answer:

D. -4,1,7,15

Step-by-step explanation:

Range is the y axis

Answer:

50

Step-by-step explanation:

25% = 0.25

200 * 0.25 = 50

Best of Luck!

Answer:

x =  − 4  ±  √ 10,

Step-by-step explanation:

2(x + 4)² = 20

=> 2(x + 4)  (x + 4) = 20

=> 2x + 8 (x + 4) = 20

=> 2x² + 8x + 8x + 32 = 20

=> 2x² + 16x + 32 = 20

=> 2x² + 16x + 12 = 0

=> Now solve using the quadratic formula:

x =  − 4  ±  √ 10,

Radical form: − 4  ±  √ 10,

Decimal form: -0.84, -7.16

Hope this helps!

Answer:

A goes with T (vice versa)

G goes with C (vice versa)

Answer:

Step-by-step explanation:

T goes to A and vice-versa.

G goes to C and vice-versa.

Answer:

\(slop = \frac{y2 - y1}{x2 - x1} \\ considertwo \: points \: \: 5 \: 17and \: 6 \: 18 \\ y - y1 = \frac{y2 - y1}{x2 - x1} (x - x1) \\ y - 17 = \frac{18 - 17}{6 - 5} (x - 5) \\ y - 17 = x - 5 \\ y = x - 5 + 17 = x + 12 \\ good \: luck\)

Answer:

f(x)=x+12

Step-by-step explanation:

To check if it is right:

plug in the numbers to the equation

f(x)=5+12=17

f(x)=6+12=18

The statement that correctly compares -9 and 2 is A. -9 < 2 because 9 is to the left of 2 on a number line.

In arithmetic, a number line is a depiction of a graduated straight line which functions as a graphic representation of real numbers. It is presumed that every number line point and every real number correspond to one another.

Horizontal straight lines termed number lines have integers along them spaced equally apart. All of the numbers in a series can be shown on a number line. This line extends indefinitely at both ends.

In this case, -9 is on the left of a number line since it's negative. In conclusion, the correct option is A

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Answer:

see below

Step-by-step explanation:

7g can be "split" as 7 * g. The "*" means multiplication so a verbal form of this expression could be "7 times a number g" or "The product of 7 and a number g".

The relationship between the distance that birds fly in relation to the time they do so, is positive.

There are about 3 outliers but for the most part, the relationship is positive.

The graph which shows the distance that birds fly in relation to the time they do, shows that there is a positive relationship because as the time increases, the distance that the birds have flown also increases.

There are some outliers such as the bird that flew 1 mile in 7 hours but in general, as the time increases, the distance increases as well. There are two clusters of distance as well.

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the counting number just before C5F16 is 3,072.

The volume of the solid rounded to the nearest whole number is approximately 262 cubic units.

If we rotate a semicircle about its diameter, we get a solid called a hemisphere. The volume of a hemisphere is given by the formula:

V = (2/3)πr³

where r is the radius of the hemisphere.

In this case, the diameter of the semicircle is given as 10, so the radius is half of that, i.e., r = 5. Substituting this value in the formula, we get:

V = (2/3)π(5)³

= (2/3)π(125)

= 250π/3

≈ 261.8

What is the area and volume of hemisphere?

The curved surface area of a hemisphere = 2r² square units. The total surface area of a hemisphere = 3r² square units. The volume of a hemisphere is determined by the formula (⅔)r cubic units.

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The reasoning for the third step of the proof would be "Corresponding parts of congruent triangles are congruent." Let's go through the explanation:

1. Given: Quadrilateral ABCD is a rectangle.

2. Given: AB & CD (Opposite sides of a rectangle are equal).

3. To prove: AC & BD.

To prove that AC is equal to BD, we can utilize the property that opposite sides of a rectangle are equal (step 2). In a rectangle, opposite sides are parallel and congruent. Therefore, we have AB || CD and AB = CD.

Now, we need to show that the triangles ABAD and ACDA are congruent, specifically using the SAS (Side-Angle-Side) congruence theorem. The congruence of these triangles will allow us to establish the equality of their corresponding parts, including AC and BD.

4. Given: AD = AD (Reflexive Property of Equality).

5. By step 2, we know AB = CD. Additionally, AD = AD is given (Reflexive Property of Equality).

6. By step 3, ZBAD = ZCDA.

7. Using SAS triangle congruence theorem, we can conclude that triangles ABAD and ACDA are congruent.

Finally, according to the "Corresponding parts of congruent triangles are congruent" property, we can state that AC = BD. This establishes the equality of the diagonals of the rectangle.

Therefore, the correct reasoning for step 3 is "Corresponding parts of congruent triangles are congruent."

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Answer:

Base = 21 while Height = 16

Makenna will have $23,390.51 in her savings account when she turns 38 years old.

What is compound interest?

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

To find out how much money Makenna will have in her savings account when she turns 38 years old, we can use the following formula:

                \(A = P(1 + \frac{r}{n})^{nt}\)

Where:

the principal is the initial amount of money in the account (6,189.63 in this case)

rate is the annual percentage rate (0.01% in this case)

n is the number of times that interest is compounded per year (daily in this case, so n = 365)

t is the number of years that the money is invested (38 years in this case)

Plugging these values into the formula, we get:

final amount:

                          \(= 6,189.63 * (1 + (0.0001/365))^{(365*38)}\\\\= 6,189.63 * (1.000027432)^{(365*38)}\\\\= 6,189.63 * 3.773617901\\\\= 23,390.51\\\)

Hence, Makenna will have $23,390.51 in her savings account when she turns 38 years old.

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Answer: To determine which statements are true, we can start by putting the equation of the circle in standard form:

x^2 + y^2 - 2x - 8 = 0

(x^2 - 2x) + y^2 = 8

Completing the square for the x-terms, we add and subtract (2/2)^2 = 1:

(x^2 - 2x + 1 - 1) + y^2 = 8

(x - 1)^2 + y^2 = 9

This is the equation of a circle with center (1, 0) and radius 3. Therefore, the following statements are true:

The center of the circle lies on the x-axis.

The standard form of the equation is (x – 1)² + y² = 3.

The radius of this circle is 3 units.

The statement "The radius of the circle is 3 units" is true because we just found that the equation is equivalent to (x – 1)² + y² = 9, which has radius 3.

The statement "The center of the circle lies on the y-axis" is false, since the center is (1,0) which lies on the x-axis.

Sum means addition.

5.6 + 319.71

.71 + .6 = 1.31

319 + 5 = 324

324 + 1.31 = 325.31

The sum is 325.31

Answer:

\(Pr = 0.6\)

Step-by-step explanation:

Given

Let

\(O \to Orange\)

So:

\(P(O) = 25\%\) --- probability of O

\(n=2\) --- Number of spin

Using the complement rule, the probability that a spin will not land on orange is:

\(P(O') = 1 - P(O)\)

\(P(O') = 1 - 25\%\)

Express as decimal

\(P(O') = 1 - 0.25\)

\(P(O') = 0.75\)

On two spins, the probability that it will not land on orange is:

\(Pr = P(O') * P(O')\)

So, we have:

\(Pr = 0.75* 0.75\)

\(Pr = 0.5625\)

\(Pr = 0.6\) --- approximated

In given fractions 8/9 is 1/36 large than 31/36

Finding the larger and smallest fraction in between two or more fractions is known as comparing fractions.

We need to change fractions with unlike denominators into fractions with similar denominators in order to compare them. For this, we will find the denominators' Least Common Multiple (LCM).    

If the denominators are the same then it is easy to compare the fractions.

Here we have

31/36 and 8/9

To find the largest fraction convert both denominators into the same  

Here LCM(36, 9) = 36  

Now multiply both numerator and denominators of fractions with a number to change the denominators  

=> \(\frac{31}{36} \times \frac{1}{1} = \frac{31}{36}\)  

=> \(\frac{8}{9} \times \frac{4}{4} = \frac{32}{36}\)  

From the above calculations given fractions are 31/36 and 32/36

Difference = \(\frac{32}{36} - \frac{31}{36} = \frac{1}{36}\)  

Therefore,

In given fractions 8/9 is 1/36 large than 31/36

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Complete Question

Assume a production process produces items with a mean weight of 10 ounces.

Through process design improvements, the process standard deviation can be reduced to 0.04. Assume the process control remains the same, with weights less than 9.88 or greater than 10.12 ounces being classified as defects. Calculate the probability of a defect.

Answer:

0.0027

Step-by-step explanation:

We solve using the formula for z score

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 10 ounces

σ is the population standard deviation = 0.04 ounces

Hence:

For x < 9.88 ounces

z = 9.88 - 10/0.04

z = -3

Probability value from Z-Table:

P(x < 9.88) = 0.0013499

For x > 10.12 ounces

z = 10.12 - 10/0.04

z = 3

Probability value from Z-Table:

P(x<10.12) = 0.99865

P(x>10.12) = 1 - P(x<10.12)

= 0.0013499

The probability of a defect is calculated as:

P(x = 10.12) or P(x = 9.88)

P(z = 3) or P(z = -3)

= 2P

= 2(0.0013499)

= 0.0026998

Approximately = 0.0027

Therefore, the Probability of the defect is 0.0027

Answer:

Philip got $300 from his relatives, he puts 65% of the money he got into the bank. How much money did Philip put in the bank? $195

The numbers are ordered, such that the first number (the largest one) is:

(5 + 1/2)

And the last number (the smaller one) is (5 + 1/3). Only by knowing this, we will see that the correct options are A and C.

We want to see which of the following numbers is not on the list:

A) √25

B) 5.45

C) 5 12  

D) 5.34

One of these numbers can only be in the list if it is larger than  (5 + 1/3) and smaller than (5 + 1/2).

To see this easier, let´s rewrite both of these:

5 + 1/2 = 5 + 0.5 = 5.5

5 + 1/3 = 5 + 0.33 = 5.33

Then if a number is smaller than 5.33, the number can't be in the list.

Here we can see two numbers that are smaller than 5.33

These are:

Option A) √25 = 5 < 5.33

Option C) 5.12 < 5.33

And there is no number larger than 5.5

Concluding, the numbers that are not in Demichael's list are:

√25 and 5.12

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