How many times smaller is 1.2 × 10 to the power of 6 than 1.38 × 10 to the power of 7?
0.18

1.15

8.7

11.5

The  simplified expression for  the  given problem  will be :6x² and -10y²

Since the expression given to us is  :

3 x² + 5 y²[]  + 3 [] + 4 y²+ 6

= 3 x² + 5 y² + 4 y²[][]+6+3

=>3 x² + 9 y² [][]+9

The above equation is equal to   9 x²-  y² + 9

=> 3 x² + 9 y² [][]+9 =9 x^2-  y^2 + 9

now  Equating the coefficients of x²and y²  in LHS and RHS:

One box has = 9 x²-   y²= +6x²

and the other will have = -y²- 9 = -10y²

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After using algebraic expression the answer is 11.5x + 10.9y  = 145.3 when  x = 6 and y = 7 .

What do you mean by algebraic expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms provide the basis of expressions.

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. Variables and constants can both be used in an algebraic expression.

Given expression:

11.5x + 10.9y

when x = 6 and y = 7

Substitute these values of x and y in above expression

11.5(6) + 10.9(7)

= 69 + 76.3

= 145.3

Therefore, 11.5x + 10.9y  = 145.3 when  x = 6 and y = 7

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The Average speed of a world class sprinter, is he runs 100 yards in 10 sec is 36 km/h.

If an athlete can run 100 meters in 10 seconds,  It is said that he cannot run 10 meters in one second. That may also apply to the physical world we live in. But you clearly state that you want to say mathematically whether he ran 10 meters in his 1 second.

If a sprinter runs 100 meters in 10 seconds, then, First, we need to convert meters to kilometers and seconds to hours. 1 meter = 1/1000 kilometers 100 meters = 100/1000 kilometers = 1/10 = 0.1 kilometers 1 second = 1/3600 hours 10 seconds = 10/3600 = 1/360 hours.

Now,
According to the question:

Given that,

Distance covered by sprinkler = 100m

Time taken by sprinkler = 10 seconds

Using the equation of velocity

Distance/ Time = velocity

Now, substituting the values -

= 100/10

= 10

Thus, the velocity is 10m/s

To convert it into m/s in to km/h -

= (10/1000) x 3600

= 36000/1000

= 36

Therefore, The average velocity of sprinkler is 36 km/h

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Answer:

y = -0.5x + 1

Step-by-step explanation:

The slope intercept form of a line is given by:

y = mx + b

where m is the slope of the line and b is the y-intercept (i.e. the point at which the line crosses the y-axis). To find the equation of a line using two points, we can use the slope formula to calculate the slope, then use one of the points to find the y-intercept.

The slope of a line is given by:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the two given points into this formula, we get:

m = (-1 - 1) / (4 - 0) = -2 / 4 = -1/2

Now that we know the slope of the line, we can use one of the points to find the y-intercept. Let's use the point (4,-1):

y = mx + b

-1 = (-1/2) * 4 + b

-1 = -2 + b

b = 1

Therefore, the equation of the line that passes through the points (4,-1) and (0,1) in slope intercept form is:

y = (-1/2)x + 1

Note that the equation can also be written as:

y = -0.5x + 1

Cuánto dinero recibe la primera persona  La primera recibe $120 000

What are linear equations ?

An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.

The standard form or the general form of linear equations in one variable is written as, Ax + B = 0; where A and B are real numbers, and x is the single variable. The standard form of linear equations in two variables is expressed as, Ax + By = C; where A, B and C are any real numbers, and x and y are the variables.

Sea la cantidad que reciben las tres personas

Primera = x

Seguna = x/2

Tercera = x/2(1/4) = x /8

La suma de las cantidades de todos dará el total

x + x/2 + x/8 = 195000

13x/8 = 195000

x = $120000

Reemplazando

Primera = x = $120 000

Rpta. La primera recibe $120 000

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the predicted biomass for the year 2020 is 41,666 kg.

What is exponential?

The exponential is an example of a mathematical function that is useful in determining if something is increasing or decreasing exponentially is the exponential function. As implied by its name, an exponential function uses exponents. But take note that an exponential function does not have a variable as its exponent and a constant as its base (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).

The growth rate function's units on it (along with 4t and dt) are years, therefore year = kg year will result in an integral that will show the net change in kilogrammes from 2000 to 2020.

if the biomass was 25,000 kg in the year 2000, what is the predicted biomass for the year 2020.

WE GET: 60000(-1/3) ∫(1/u)

=16666

This is the change in biomass from 2000 to 2020. Thus, the predicted biomass for 2020 is about (25000 + 16,666) = 41,666 kg.

Hence, the predicted biomass for the year 2020 is 41,666 kg.

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According to the question,

Given data.

Sugar cookies require 1.5 cups of butter for every 2 cups of sugar,

And

find that,

How many cups of butter are needed for 7 cups of sugar?

With the help of question,

1.5 cups of butter -----2 cups of sugar

  x cups of butter     = 7 cups of sugar

let us consider,

2 cup of sugar is 2x.

So, we can say that

2x= 1.5×7

  x=10.5/2

    =5.25 cups of butter

Then find the value of 5.25 cups of butter are needed for 7 cups of sugar.

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Answer:

The graph should look something like this

Step-by-step explanation:

Answer:

[tex]\boxed{\underline{\bf v=16}}[/tex]

Step-by-step explanation:

[tex]\tt 3.8\left(v-12.3\right)-6.34=7.72[/tex]

Simplify both sides of the equation:-

[tex]\tt 3.8(v-12.3)-6.34=7.72[/tex]

Distribute:-

[tex]\tt (3.8)(v)+(3.8)(-12.3)+-6.34=7.72[/tex]

[tex]\tt 3.8v+-46.74+-6.34=7.72[/tex]

Combine Like Terms:-

[tex]\tt (3.8v)+(-46.74+-6.34)=7.72[/tex]

[tex]\tt 3.8v+-53.08=7.72[/tex]

[tex]\tt 3.8v-53.08=7.72[/tex]

Add 53.08 to both sides:-

[tex]\tt 3.8v-53.08+53.08=7.72+53.08[/tex]

[tex]\tt 3.8v=60.8[/tex]

Divide both sides by 3.8:-

[tex]\tt \cfrac{3.8v}{3.8}=\cfrac{60.8}{3.8}[/tex]

[tex]\tt v=16[/tex]

______________________

Hope this helps!

Have a great day!

If a 4m yardstick casts a 21m shadow, building is 12.19 tall with shadow of 64m.

Comparing one thing to another is what the word compare means in the dictionary. Mathematical number comparison is the process or method of comparing two numbers to determine whether one is less, bigger, or equal to the other. This week, comparison problems—which entail determining the similarities or differences between sets—were the focus. Finding out how many more there are in one set than the other is a form of comparative problem.

Given,

Yardstick:

= 4/21

Building:

Length:

= x/64

Comparing yardstick to building,

4/21 = x/64

21x = 64 × 4

21x = 256

x = 12.19

If a 4m yardstick casts a 21m shadow, building is 12.19 tall with shadow of 64m.

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1. To multiply two powers with the same base, we add their exponents.

2. An expression that you could simplify using the quotient of powers property is of: 3³/3² = 3.

The results of the expressions are given as follows:

3. 4^11.

4. 5^11.

5. 6^8.

6. 7^9.

When two or more terms have the same base and different exponents and then are multiplied, the base is kept while the exponents are added.

When two terms have the same base and different exponents and then are divided, the base is kept while the exponents are subtracted.

The multiplication rule is used for each of the items from 3 to 6, as:

3. 4^11, as 2 + 9 = 11.

4. 5^11, as 3 + 8 = 11.

5. 6^8, as 7 + 1 = 8.

6. 7^9, as 3 + 4 + 2 = 9.

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Answer:

17,7

Step-by-step explanation:

just use cauculator

The true statement about the equation illustrated will be:

A solution to the equation x²=81 is x=9..

A solution to the equation x³=125 is x=5.

A solution to the equation x³=216 is x=6

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, the solution to the equation x²=81 is x=9. This will be the square root of 81 which is 9.

A solution to the equation x³=125 is x=5. This can be illustrated as:

5³ = 5 × 5 × 5.

= 125.

A solution to the equation x³=216 is x=6. This can be: 6³ = 216.

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The value of a₀ is 5 and value of k is 12 if the exponential model of 5 ˣ 12x is written with the base e.

Exponential models portray circumstances where the pace of progress of something is straightforwardly corresponding to the amount of that thing there is. In number related terms: dy dt = ky where dy dt is the pace of progress in a moment, y is how much what we're discussing right then and there, and k is the consistent of proportionality. We need to use logarithmic functions to evaluate the values.

We are given function in form of x which is f(x) = 5×12ˣ,it is equivalent to

=>f(x)=5 × expo(ln(12ˣ)

=>f(x) =5 ˣ  [tex]e(^1^2)^x[/tex]

On comparing with the given equation - a₀[tex]e^(k)^x[/tex] ,we get

=>a₀=5 and k=12.

Hence, required values are 5 and 12,

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Answer:

it will be 4.60

Step-by-step explanation:

Answer:

You have to pay $9.60 for 24 ounces of the sandwich spread.

Given:

Unit cost of sandwich spread = $6.40 per pound

Weight of sandwich spread = 24 ounces

We need to convert the ounces into pound before we can compute the cost of the sandwich spread.

1 pound is equivalent to 16 ounces.

24 ounces x 1 pound/16 ounces = 24 pound/16 = 1.5 pounds

total cost of 24 ounces sandwich spread

1.5 pounds x $6.40 per pound = $9.60

Mark BRAINLIEST!

Break up the problem into 26,000 pounds and 9 pounds.

To find total boxes needed, divide by weight per box.

26,000 / 20 = 1300

Last box has 9/20 pounds of material

Hope this helps :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

$501.19 did the dealer pay for the skis.

What is percent?

A percentage in mathematics is a number or ratio that is expressed as a fraction of 100. The abbreviations "pct.", "pct.", and occasionally "pc" are also used to indicate it, though the percent sign, "%," is most frequently used. A percentage has no dimensions and no standard measurement.

Given:

A dealer sold a pair of skis for $371.25 after she marked them up 35%.

After mark for 35% it will be

371.25 x 35% = 371.25 x 0.35 = 129.94

So, dealer pay for the skis is,

$371.25 + $129.94 = $501.19

Hence, $501.19 did the dealer pay for the skis.

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Answer:

x = 3.6

Step by step explanation:

Let number of years be x

W.K.T

Simple interest is the interest calculation method that applies a constant rate of interest to the principal amount of a loan or deposit over a period of time. It is calculated as a percentage of the principal amount, multiplied by the number of periods the interest is applied for.

Simple interest is used to calculate interest on loans, deposits, and other investments. It is also used to calculate the total amount owed on a loan or the return on an investment.

I = P × R × T

Where:

I = Interest Amount

P = Principal Amount

R = Interest Rate (as a decimal)

T = Time (number of periods)

10,750 - 10000 = 10,000 x 2.1% x X

750 = 10,000 x 0.02 x X

x = 3.6

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Answer:

I would go with the bottom left one but these are very weird

Step-by-step explanation:

The hourly pay before the increase for Marta and for Khalid is $18 and $15 respectively.

Given that, the ratio of Marta’s hourly pay to Khalid’s hourly pay is 6:5.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Now, Marta’s hourly pay is 6x and Khalid’s hourly pay is 5x

Both Marta and Khalid get an increase of £1.50 in their hourly pay.

So, Marta’s hourly pay will be 6x+1.50 and Khalid’s hourly pay will be 5x+1.50

The ratio of Marta’s hourly pay to Khalid’s hourly pay after this increase is 13:11

Here, (6x+1.50)/(5x+1.50) =13/11

11(6x+1.50)=13(5x+1.50)

⇒ 66x+16.5=65x+19.5

⇒ x=3

So, Marta’s hourly pay is $18 and Khalid’s hourly pay is $15

Therefore, the hourly pay before the increase for Marta and for Khalid is $18 and $15 respectively.

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With a p-value of 0.000, the test statistic is 2.834.

A statistical test's calculation of a number is known as a test statistic. It explains the distance between your observed data and the null hypothesis, which states that there is no correlation between the variables or difference between the sample groups,

given

                sample size            sample mean            sample sd

 City 1           12                                 66000                   1100

 City 2          12                                 68000                  2200

mean is 71121 point ,41 standard deviation is sample size, the test hypothesis greater than 69110 point.

find dust statistics which are there , equation t, which equals x, bar minus mu, and sigma by rho type, is used to determine the test statistic.

The square root of 41 points equals minus 69110. Is it accurate that our test numbers come out to 1.719? Next, we need to determine the p value. P value is derived from x. Since our alpha in this instance is.05, our significance is more relevant than the p value.

Accordingly, there is little to no pay disparity between registered nurses in the two locations.

With a p-value of 0.000, the test statistic is 2.834.

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Answer:

The measure of angle XBC can be calculated by subtracting the measures of angles ABX and ABC from the measure of the whole angle, which is 180 degrees. So, if m∠ABX = 2y+10, and m∠ABC = 10y-4, then the measure of angle XBC is 180 - (2y+10) - (10y-4) = 180 - 12y - 6 = 168 - 12y.

The probability that the scores differ by 5 or more points in either direction is 0.0764.

According to the Question,

the mean and standard deviation of are

μₓ = 24

σₓ = 2

We have to find the probability of the scores differ by or more points on either direction.

Considering the X₁ and X₂ as the random variable,  the scores of Leon and Fred.

Define the variable:

D = X₁ - X₂

We have to find : P(IDI ≥ 5)

According to the Question,  the two scores are independent

The mean of :

D : μₐ = 0

The standard deviation of :

D : σₐ = 2.828

Standardizing the mean and standard deviation:

D = -5

Z = X - μₐ / σₐ

  = -5 -0 / 2.828

  = -1.77

Now,  we standardize

D = 5

Z = X - μₐ / σₐ

  = 5 -0/ 2.828

  = 1.77

Now,

Calculating the probability:

Using a table of typical normal probabilities as a guide,

P(D ≤ -5) or P(D ≥ 5)

= P ( z ≤ - 1.77) + P( z ≥ 1.77)

= P(z ≥ 1.77) + P(Z ≥ 1.77)

= 2P( z ≥ 1.77)

= 2[ 1 - p(z≤ 1.77)]

= 2[ 1 - 0.9618]

= 0.0764

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Two lines are said to parallel when they have the same slope, from which we can find the equation for  both the lines.

The equation of two parallel lines on a graph can be determined by understanding the slope of the two lines. To find the equation of two parallel lines on a graph, first determine the slope of the two lines. This can be done by picking two points, (x1,y1) and (x2,y2), on the line and then calculating the slope using the formula: slope = (y2 - y1) / (x2 - x1). The two lines will have the same slope if they are parallel. After determining the slope, plug the slope and the coordinates of one of the points into the equation: y = mx + b, where m is the slope and b is the y-intercept. This equation will give the equation of the line in slope-intercept form. To find the equation of the second line, use the same slope and the coordinates of one of the points on the second line.

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Answer:

D

Step-by-step explanation:

9x + 5 (6/5x + 3) - 30

9x + 6x + 15 - 30

15x - 15

15(x-1)

The expected value of the distribution of the number of customers that make a purchase before one uses a coupon on a given day is of:

2.94 customers.

This distribution is a discrete distribution, hence the expected value is calculated as the sum of each outcome multiplied by it's probability.

From the table shown at the end of the answer, we have that:

Then the expected value of the distribution is calculated as follows:

E(X) = 1 x 0.33 + 2 x 0.22 + 3 x 0.15 + 4 x 0.10 + 5 x 0.07 + 6 x 0.04 + 7 x 0.03 + 8 x 0.03 + 9 x 0.02 + 10 x 0.01 = 2.94 customers.

The problem asks for the expected value of the distribution.

The graph of the distribution is given by the image shown at the end of the answer.

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Answer:

see explanation

Step-by-step explanation:

(x + 2)(5x + 1) = 5x(x + 1) ← expand factors on left side using FOIL

5x² + 11x + 2 = 5x² + 5x ( subtract 5x² from both sides )

11x + 2 = 5x ( subtract 5x from both sides )

6x + 2 = 0 ( subtract 2 from both sides )

6x = - 2 ( divide both sides by 6 )

x = [tex]\frac{-2}{6}[/tex] = - [tex]\frac{1}{3}[/tex]

Answer: you already stated that you know it is x = -1/3

Step-by-step explanation: first, open the parenthesis by multiplying (x+2) and (5x+1), which equals 5x^2 + 11x + 2, the current expression is 5x^2 + 11x + 2 = 5x(x+1).

now, do the same thing to the other side, distribute the 5x to (x+1), which equals 5x^2 + 5x.

Now the expression is 5x^2 + 11x + 2 = 5x^2 + 5x. subtract 5x^2 from both sides, and subtract 5x from both sides, which leaves you with 6x + 2 = 0,

subtract 2 from both sides, now, 6x = -2, lastly, divide both sides by 6 to isolate x, and you get x = -2/6, or, if you write it in it's smallest form, -1/3. hope I helped

60 bowlers participated in the spring.

The local bowling league had 48 bowlers during the fall league. In the Spring there was a 25%increase in the number of bowlers.

Formulate: based on the circumstances stated.

48 * ( 25% + 1 )

Determine the total or difference:

48 * 1.25

Determine the quotient or product:

60.

60 bowlers participated in the spring.

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