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Answer:

2.62 x 10^16

Step-by-step explanation:

Step-by-step explanation:

Let look at the numerator:

(3.1 x 10^6)(6.97 x 10^4)

= (3.1 x 6.97) x 10^(6+4)

= 21.607 x 10^10

So  21.607 x 10^10      

      _______________        

      8.245 x 10^-6

= (21.607/8.245) x 10^(10 - -6)

= 2.62 x 10^(10 + 6)

= 2.62 x 10^16

I hope this helps

Answer:2.62061855 x 10^16

Step-by-step explanation:

Answer: y = xw/v

Step-by-step explanation:

v = ( 1/y )*xw

⇒ y = xw/v

The correct option is the last one:

"Cousin; The distance is the absolute value of the difference of the numbers lined up with the beginning and the end of the object."

Now, remember that a rule is equivalent to a number line.

Now, suppose that you are measuring an element with a length of 16 centimeters.

If you measure it by lining up one of the ends of the element with the zero, then the other end will be at the line number 16.

And if you line it up from a different number, let's say 3cm, then the other end of the object (which still measures 16cm) will be at 19cm.

In both cases, to find the measure of the object that you are measuring with the ruler, you need to find the difference between the two numbers on the ruler that line up with the object ends.

If you line up with the zero, you need to subtract zero, so the measure is easier:

16cm - 0cm = 16cm

If you line up with other number, like the 3 in this case, you need to perform the subtraction:

19cm - 3cm = 16cm

In both cases, we will get the same measure. So your cousin is correct, and the correct option is the last one:

Cousin; The distance is the absolute value of the difference of the numbers lined up with the beginning and the end of the object.

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Answer:

d) y - 8 = 7/3(x - 9)

Explanation:

[tex]\sf point-slope\:form :[/tex]

[tex]\sf y - y_1 = m(x - x_1) \ \ where \ (x_1, y_1), \ (x_2, y_2) \ are \ points \ and \ m \ the \ slope[/tex]

Find the slope:

[tex]\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

[tex]\sf \rightarrow slope\ (m) : \dfrac{1-8}{6-9} = \dfrac{-7}{-3} = \dfrac{7}{3}[/tex]

Find the equation:

in point slope form:

[tex]\sf y - 8 = \dfrac{7}{3} (x - 9)[/tex]

[tex]\sf y = \dfrac{7}{3} x - 21+8[/tex]

in slope intercept form

[tex]\sf y = \dfrac{7}{3} x -13[/tex]

Answer:

(a)  15

(b)  270

Step-by-step explanation:

Given expression:

[tex]\left(\sqrt{5}\right)^2 \times \left(\sqrt{3}\right)^2[/tex]

[tex]\textsf{Apply the exponent rule}:\quad \left(\sqrt[n]{a}\right)^n=a,\quad \textsf{$n$ is odd or $a \geq 0$}[/tex]

[tex]\implies 5 \times 3[/tex]

Multiply the numbers:

[tex]\implies 15[/tex]

Given expression:

[tex]\left(\sqrt[3]{9} \right)^3 \times \left(\sqrt{30}\right)^2[/tex]

[tex]\textsf{Apply the exponent rule}:\quad \left(\sqrt[n]{a}\right)^n=a,\quad \textsf{$n$ is odd or $a \geq 0$}[/tex]

[tex]\implies 9 \times 30[/tex]

Multiply the numbers:

[tex]\implies 270[/tex]

Now we have to,

→ work out the value for the following.

We know that,

→ square ( ²) and square root (√) gets cancelled each other.

→ cube ( ³) and cube root (³√) gets cancelled each other.

a) (√5)² × (√3)² = ?

→ (√5)² × (√3)²

→ 5 × 3 = 15

Thus, the answer is 15.

b) (³√9)³ × (√30)² = ?

→ (³√9)³ × (√30)²

→ 9 × 30 = 270

Thus, the answer is 270.

Answer:

Question 27

[tex]\textsf{(a)} \quad -\dfrac{6}{5}[/tex]

[tex]\textsf{(b)} \quad \dfrac{1}{10}[/tex]

[tex]\textsf{(c)} \quad \dfrac{4}{5}[/tex]

Question 28

[tex]\textsf{(a)} \quad \dfrac{6}{0}=\textsf{und\:\!efined}=\textsf{no gradient}[/tex]

[tex]\textsf{(b)} \quad -\dfrac{3}{10}[/tex]

[tex]\textsf{(c)} \quad \dfrac{3}{10}[/tex]

Step-by-step explanation:

The gradient of a straight line can be found by dividing the difference in the y-coordinates by the difference in the x-coordinates between two points on the line.

A positive gradient slopes up from left to right.

A negative gradient slopes down from left to right.

[tex]\boxed{\begin{minipage}{4.3cm}\underline{Gradient Formula}\\\\$m=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\end{minipage}}[/tex]

We can use the formula to find the gradients, or we can simply calculate the change in y and change in x by looking at the graph.

Example:

If we take line (a) from question 27 as an example.

Therefore, the gradient is -6/5.

Using the gradient formula, define two points on the line:

Input the points into the formula:

[tex]\textsf{Gradient}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-6}{5-0}=-\dfrac{6}{5}[/tex]

Solutions

Question 27

(a)  The gradient is -6/5, as calculated above.

(b)  The change in y is 1 unit and the change in x is 10 units. The line slopes up so the gradient is positive.  Therefore, the gradient is 1/10.

(c)  The change in y is 4 units and the change in x is 5 units. The line slopes up so the gradient is positive.  Therefore, the gradient is 4/5.

Question 28

(a)  The change in y is 6 units and the change in x is 0 units. Therefore, the gradient is undefined since anything divided by 0 is undefined.  Therefore, this line has no gradient.

(b)  The change in y is 3 units and the change in x is 10 units. The line slopes down so the gradient is negative.  Therefore, the gradient is -3/10.

(c)  The change in y is 3 units and the change in x is 10 units. The line slopes up so the gradient is positive.  Therefore, the gradient is 3/10.

Attachment

I have marked the change in y (green) and the change in x (blue) for line (c) on both graphs.

Answer: B

Step-by-step explanation:

Only makes sense its the same as the question I might be wrong

Answer:

Step-by-step explanation:

Step One

The first step is to find the value of n.

h(x) = n(x) + 28

h(3) = 1

That means that 1 is on the left and wherever there is an x on the right, it will have a value of 3

Step Two

Substitute values

1 = n(3) + 28                  

Step 3

Solve

1 = 3*n + 28                       Subtract 28 from both sides

1 + - 28 =  3n                     Combine

-27 = 3n                             Divide both sides by 3

-27/3 = 3n/3

- 9 = n

Step 4

Let x = - 6 on the right side of the original equation.

h(-6) = 3*-6 + 28

h(-6) = -18 + 28

Answer

h(-6)  = 10

The expression for the phrase is 5 * (x - 6) = 24

The phrase is given as:

the product of 5 minus 6 has a result of 24

Products means *

So, we have

5 * (x minus 6) has a result of 24

x minus 6 means x - 6

So, we have

5 * (x - 6) has a result of 24

has a result of 24 means = 24

So, we have

5 * (x - 6) = 24

Hence, the expression for the phrase is 5 * (x - 6) = 24

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The scale factor is 3.

[tex]scale factor =\frac{scaled\ measure}{actual\ measure}[/tex]

∵ If sides of a polygon are changed by a scale factor 'a' then its perimeter is also changed by the same scale factor,

[tex]scale factor =\frac{scaled\ perimeter}{actual\ perimeter}[/tex]

The actual perimeter of the polygon = 10 unit,

Also, the scaled perimeter = 30 units

Hence,

[tex]scaled factor = \frac{30}{10} =3[/tex]

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Answer:

24 books can fit on 1 shelf.

Step-by-step explanation:

Question: Juan has 28 paperback books that measure 1 and 1/4 inches each. How many books will fit on one shelf if each shelf measures 30 inches?

Step-by-step:

We know that each book is 1 and 1/4 inches each. It might be easier to convert the fraction into a decimal.

1/4 inches is 1 divided by 4 which equals to 0.25 inches

1 inch + 0.25 inches = 1.25 inches

so, 1 and 1/4 inches = 1.25 inches

To find out how many books fit on a shelf, we need to find: length of 1 bookshelf divided by length of 1 book

We know that one bookshelf is 30 inches and 1 book is 1.25 inches

so, 30/1.25 or 30 divided by 1.25 = 24

Therefore, 24 books can fit on 1 shelf.

Answer:

Step-by-step explanation:

Answer:

See Explanation

Step-by-step explanation:

So, the uncle has $3000.

The Oldest Niece gets double what the Younger Niece gets half her amount. The nephew gets the total of these 2 combined.

The Youngest Niece gets $500.

500x2=1000

The Oldest Niece gets $1000.

1000+500=1500

The Nephew gets $1500.

1500+1000+500=3000

The order from least to greatest is  -8.222 <-7.43 < 8.333 < 8.366

The numbers given are:

The square root of 70 =√70 = 8.366

Negative 8.2 repeating = -8.222

Twenty five thirds = 25/3 = 8.333

Negative eight and Four sevenths = -8 and 4/7 = (-52)/7 = -7.43

So from least to greatest,

-8.222 <-7.43 < 8.333 < 8.366

That is,  Negative 8.2 repeating < Negative eight and Four sevenths < Twenty five thirds < The square root of 70

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Answer:

Y/6 = x

Step-by-step explanation:

Y = 6x

Y/6 = x

Keith credit card balance by next month is $664.88 if he doesn't make any additional charges

Information about the problem:

Calculating the amount he could not pay, we have:

Amount to pay= Total balance - minimum paid

Amount to pay= $732 - $75

Amount to pay= $657

Calculating the final balance he will pay:

Final balance = Amount to pay + (amount to pay * Charge fee/100)

Final balance = $657 + ($657 * 1.2/100)

Final balance = $657 + ($657 * 0.012)

Final balance = $657 + ($7.884)

Final balance = $664.88

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

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Answer:

$15928.81

Step-by-step explanation:

hope this works

2000 x (0.98)^5 = ans

ans x (0.975)^5 = 15928.81442 which rounds to $15928.81

The coordinates of K are (8,3).

There is a line segment JK with M as its midpoint. This means the length of JM = length of MK.

Also the coordinates of J is (-4,7) and the coordinates for M are (2,5).

As M is the midpoint, the x-distance and y-distance between (-4,7) and (2,5) are same as that between (2,5) and K.

x- distance between (-4,7) and (2,5) = 2- (-4) = 6

So x- coordinate of K = 2+6 = 8

y-distance between (-4,7) and (2,5) = 5-7 = -2

So y-coordinate of K = 5+(-2) = 3

Hence the coordinates of K are (8,3).

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The number of hamburgers sold on Wednesday is 141 and the number of cheeseburgers sold on Wednesday is 423

Although a part of your question is missing, you might be referring to this full question: On Wednesday, a local hamburger shop sold a combined total of 564 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Wednesday?

Total number of burgers sold on Wednesday = 564

Let the number of hamburgers sold on Wednesday be x

Let the number of cheeseburgers sold on Wednesday be y

Formulating the equation we get:

x + y = 564-----(1)

It is also given that, the number of cheeseburgers sold was three times the number of hamburgers. So,

y = 3x

Substituting y = 3x in equation (1) we get

x + 3x =564

4x = 564

x = 141

Putting x = 141 in equation (1) we get

y = 423

So, the number of hamburgers sold is 141 and the number of cheeseburgers sold is 423

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The required total of price area,  leather field, and sneakers field is evaluated with the help of arithmetic operations as 102.

Given that,
Joining 60.00 into the price, area joining 3.00 into the price of the leather field entering 38.00 into the price of sneakers field,
The sum of the components is to be determined.

In mathematics, it deals with a number of procedures according to the statements. There are four primary arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Joining 60.00 into the price area,
Joining 3.00 into the price of the leather field.
entering 38.00 into the price of sneakers field,
The sum = 60.00 + 3.00 + 38.00
The sum = 102

Thus, the required total of entries is evaluated with the help of arithmetic operations as 102.

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Since T is continuous for [tex]0\leq x \le 10[/tex], [tex]\lim_{x \to 4} T(x)=T(4)[/tex] From the table:

[tex]\lim_{x \to 4} T(x)=172^{0}[/tex]

A continuous function in mathematics is one that causes the value of the function to continuously vary as the input changes over time. This indicates that there aren't any discontinuities or sudden changes in value. In other words, a function is continuous if and only if its graph is devoid of any gaps or breaks. It is simple to predict where it won't be continuous for many functions. Where we have operations like division by zero or logarithms of zero, functions won't be continuous. Examples of continuous functions over the set of all real numbers are polynomial functions, exponential functions, and the sin and cosine graphs.

For the final answer the table is to be checked and all the values are written.

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Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

There are 4 liters of solution are needed for the 10% acid solution.

Unitary method:

Unitary method is the way to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.

Given,

In a chemistry class, 8 liters of a 4% acid solution must be mixed with a 10% acid solution to get a 6% acid solution.

Here we need to find how many liters of the 10% acid solution are needed.

First, we have to convert the percentage into decimal,

4% = 4/100 = 0.04

10% = 10/100 = 0.10

6% = 6/100 = 0.06

Let x be the required liter of solution.

So, based in the given details,

We have to write the equation as,

=> 0.04*8 + 0.10x = 0.06(8+x)

=> 0.32 + 0.10x = 0.48 + 0.06x

=> 0.10x - 0.06x = 0.48 - 0.32

=> 0.04x = 0.16

=> x = 0.16/0.04

=> x = 4

x = 4 liters of 10% solution is used.

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Answer:

$7

Step-by-step explanation:

Since 100/20 = 5, 20% is 1/5, so 20% of 35 is 35/5, or 7

Answer:

If someone leave a 20% tip and the meal is 35$how much was the tip :

$35.00 ÷ 20% = $7.00

Answer:

1 cm = 0.6 m.

Step-by-step explanation:

15 cm to 9 meters

= 15 cm to 900 cm

so 1cm = 900/15 cm

1cm = 60cm

1 cm = 0.6 m.

Answer:

x ≥ 1

Step-by-step explanation:

The number line shows that the dot is closed which means that the number it is on, is one of the solutions that works for the inequality. So x stands for/means that any number greater than 1 or equal to 1 is a solution.

Answer:

Step-by-step explanation:

[tex]\displaystyle\\\frac{1}{2},\ \ \frac{4}{7},\ \ \frac{9}{14},\ \ \frac{5}{7} ,\ \ ... \\\\\frac{1*7}{2*7} ,\ \ \frac{4*2}{7*2} ,\ \ \frac{9}{14}, \ \ \frac{5*2}{7*2} ,\ \ ...\\\\\frac{7}{14},\ \ \frac{8}{14} , \ \ \frac{9}{14},\ \ \frac{10}{14},\ \ \frac{11}{14},\ \ ...,\ \ \frac{6+n}{14} , \ \ n=1,\ 2,\ 3,\ ...[/tex]

A whole number larger than 2 leaves a remainder of 2 when divided by each of the numbers 3, 4, 5, and 6 is 62.

To find the whole number:

Therefore, a whole number larger than 2 leaves a remainder of 2 when divided by each of the numbers 3, 4, 5, and 6 is 62.

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The method that can be used to write the equation of a line in slope-intercept form given two points is A. Find the slope using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept.

It should be noted that the equation of line passing through two point =  y = mx + b.

Also, b can find out via putting values of x, y, and m in the equation of the line to get y-intercept.

In this case, the slope of the line will be y2 - y1/x2 - x1.

In conclusion, the correct option is A.

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