Does anyone know the answer?

Answer:

2.1 x 10^8

Step-by-step explanation:

The expression (7x10⁵)x(3x10²) in the standard form will be 2.1 x 10⁸.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is (7x10⁵)x(3x10²). The standard form of the expressions can be written as,

E = (7x10⁵)x(3x10²)

E = ( 7 x 3 ) x ( 10⁵⁺²)

E = 21 x 10⁷

E = 2.1 x 10⁸

Hence, the standard form is 2.1 x 10⁸.

To know more about an expression follow

https://brainly.com/question/29431018

#SPJ2

Answer:

Y= x+2

Step-by-step explanation:

The x value is always adding 2 to get the y value

1+2=3

2+2=4

3+2=5

4+2=6

5+2=7

Therefore your answer is y = x + 2

Hope this helps!

Answer:

2

Step-by-step explanation:

y = x + c

Put x as 1, and y as 3 and solve for c.

3 = 1 + c

3 - 1 = c

2 = c

Answer:

D

Step-by-step explanation:

x = 5y²

x = 3y²

Here x is a function of y and so the parabola is open either to right or left.

The coefficient of y² is positive. So the parabola is open to right.

Both parabolas are open to right and  x = 5y² is wider than x = 3y².

Answer:

The last one I think

Step-by-step explanation:

I’m not 100% sure

Answer:

The correct answer is C

Step-by-step explanation:

Hope this helps!

Given expression is  \(x⁵/⁹\).

Recall to write the nth root of a number, we have to type root(n).

For example, to get\(³√4x\), type "\(root(3)(4x)\)".

We can write the expression x⁵/⁹ as follows:

\($$\frac{x^5}{9}$$\)

Let's rewrite the expression as:

\($$\frac{x}{\sqrt[9]{9}}^5$$\)

Let's write the nth root of a number by typing root(n).

Therefore, the final answer becomes:

\($$\frac{x}{root(9)(9)}^5$$\)

Therefore, the given expression in radical form is   \(\frac{x}{root(9)(9)}^5\)

To know more about expression visit :

https://brainly.com/question/28170201

#SPJ11

The error involved in approximating the sum of the given series by the sum of the first five terms of the series is `R5 = 1/6³ + 1/7³ + ...`.

To estimate the error that is made by approximating the sum of the given series by the series the first 5 terms 1/k³, we can use the remainder term of a convergent series.

The given series is ∑ 1/k³ from k = 1 to infinity.We have to find the error involved in approximating the sum of the given series by the sum of the first five terms of the series.

That is, we need to find the difference between the actual sum of the series and the sum of the first five terms of the series.

The sum of the series is given by: `S = 1/1³ + 1/2³ + 1/3³ + 1/4³ + ... + 1/n³ + ...` We can use the remainder term of the series to find the error in approximation.

The remainder term `Rn` is given by: `Rn = Sn - S` where `Sn` is the sum of the first `n` terms of the series. Thus, we have to find the remainder term for `n = 5`.

The remainder term `Rn` is given by: `Rn = S - Sn = 1/6³ + 1/7³ + ...` Since the given series is convergent, the remainder term `Rn` tends to zero as `n` tends to infinity.

So, if we take the sum of the first five terms of the series, the error involved in approximation is given by the remainder term `R5`.

The error involved in this approximation is very small and can be neglected.

To learn more about : terms

https://brainly.com/question/30643700

#SPJ8

The total number of hours spent on reading in a week is 14/3 hours.

For the given question-

Number of hours spent of reading = 2/3 hours.

Total number of days in a week = 7.

Total number of hours spent on reading = 2/3 x 7

Total number of hours spent on reading = 14/3

Thus, the total number of hours spent on reading in a week is 14/3 hours.

To know more about the fraction of a number, here

https://brainly.com/question/21336203

#SPJ4

Answer:

34 shirts and 17 pairs of pants

Step-by-step explanation:

Do you need an explanation?

The standard deviation of the sample mean differences is; 0.6898

From online research, the sample size of the session regarding the number of people who will purchase the red box is; N₁ = 45

From online research, the sample size of the session regarding the number of people who will purchase the blue box is; N₂ = 60

Formula for standard deviation of the sample mean differences is;

σm₁ - σm₂ = √[(σ₁²/n₁) + (σ₂²/n₂)]

Thus;

σm₁ - σm₂ = √[(3.868²/45) + (2.933²/60)]

σm₁ - σm₂ = 0.6898

Learn more about sample on

https://brainly.com/question/24466382

#SPJ1

Population standard deviation, level of significance are same.

Margin of error increased.

With increase in margin of error sample size decreases.

By dividing the population's standard deviation by the sample size and then multiplying the resulting number by the crucial factor, the margin of error—a statistical expression used to estimate how much a result will deviate from the value of the full population—can be determined.

The standard deviation of the sample statistics, if we could take several samples of the same size, is the standard error.

Population standard deviation, level of significance are same.

Margin of error increased.

Margin of error increases leads to decrease in the sample size

as the margin of error is in denominator position in sample size formula. Hence with increase in margin of error sample size decreases.

To learn more about margin of error link is here

brainly.com/question/29101642

#SPJ4

The five-number summary is:

Minimum: 9

First Quartile: 16.5

Median: 25.5

Third Quartile: 39

Maximum: 51

3. Range = 42

4. Interquartile range = 22.5

Given the data for the lengths as, 36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20, to find the five-number summary of the data set, we would follow the steps below:

1. The numbers in ordered from the smallest to the largest would be:

9, 14, 15, 18, 20, 22, 29, 36, 36, 42, 45, 51

2. The five-number summary for the lengths in minutes would be:

3. Range of the data = max - min = 51 - 9 = 42

4. The interquartile range for the data set = Q3 - Q1 = 39 - 16.5

Interquartile range for the data set = 22.5

Learn more about the five-number summary on:

https://brainly.com/question/24809873

#SPJ1

Answer:

your answer would be -58

Answer:

\( \sf \: f( - 6) = 78\)

Step-by-step explanation:

Given function,

→ f(x) = 2x² - x

Now we have to,

→ Find the required value of f(-6).

We have to use,

→ x = -6

Then the value of f(-6) will be,

→ f(x) = 2x² - x

→ f(-6) = 2(-6)² - (-6)

→ f(-6) = 2(36) + 6

→ f(-6) = 72 + 6

→ [ f(-6) = 78 ]

Hence, the value of f(-6) is 78.

The equation to determine the length and width of the rug is

28 = w² + 12w

Since, the shape of the rug is rectangle, therefore area of rectangle has been used to obtain the solution.

What is a rectangle?

Rectangle is a flat, two-dimensional shape, having four sides and vertices with opposite sides being equal and parallel. We may easily represent a rectangle in an XY plane by using its length and breadth as the arms of the x and y axes, respectively.

Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

We are given a rectangular rug with an area of 28 square feet.

Also, the rug is 12 feet longer than it is wide.

So,

Let 'l' be the length of the rug and 'w' be the width of the rug

As given, Length is 12 feet longer than its width

Therefore, l = w + 12

We know Area of rectangle = Length * Width and area is given to be 28 square feet.

So,

⇒28 = (w + 12)w

⇒28 = w² + 12w

Hence, the equation to determine the length and width of the rug is

28 = w² + 12w.

Learn more about rectangle from the given link

https://brainly.com/question/25292087

#SPJ1

Question: Tammy has a rectangular rug with an area of 28 square feet. The rug is 12 feet longer than it is wide.

Create an equation to determine the length and the width of the rug.

Solution

Find the Sine, cosine, tangent of - 120​

The correct option is option (d). In other words, Mr. Rowland's class was more successful because his class had the same lower quartile as top quartile of Mrs. Cai's class.

Box plots were created to compare the number of events, Mrs. Cai and Mr. Roland's class has won the school athletic meet for the last ten years. Let's talk about boxplot first.

What is a boxplot?

In descriptive statistics, a boxplot (also called a wishler plot) is a type of graph used in explanatory data analysis. A boxplot visually shows the distribution of numerical data and its skewness by showing the quartiles and means of the data.

Minimum score:

Minimum score without outliers (indicated at the end of the left whisler).

Lower quartile: 25% of the results are below the lower quartile (also known as the first quartile).

Median: The median marks the midpoint of the data and is indicated by the line that divides the box in two (sometimes called the second quartile).

Upper quartile:

75% of the results are below the top quartile. This means that 25% of the data are above this value.

Max Score:

Highest score without outliers (shown at the end of the right whisker)

Now, we can easily evaluate the required information from given box plot. We see that

the lower quartile of Mr. Roland’s class = 4

and upper quartile of Mrs. Cai’s class = 4

both values are same but lower quartile reach to upper quartile that means Mr. Roland’s class was more successful.

Hence, option (d) is right.

To learn more about boxplot of quartile , refer :

https://brainly.com/question/14277132

#SPJ4

Answer:

B.) The interquartile range of the data is 2

Step-by-step explanation:

Answer:

2 to the power of 3 or 2^3

Answer: 8

Step-by-step explanation:

•2 large sheets of papers:

i)cuts in half

-left 4pieces.

ii) the cutted one (smaller ones) cutted again 1 time

-left 6pieces.

iii) the cutted one will be cutted again (2nd time.) And so...

-left 8 pieces.

Please let me know if you haven't understand any of the steps...☺

l hope u like it....

Pleeeeeeeeeeeeeeeeease mark me as a brainliestt....❤

Thankyouuuu

The linear equation that represents the plant height is the one in the first option:

y = 14 + (3/2)x

We know that the initial height of the plant (this will be the y-intercept of the line) is 14cm, and we also know that the plant grows at a rate of 3/2 cm each day.

So, after x days, the plant is x times 3/2cm plus 14 cm of height, so the linear equation is:

y = 14 + (3/2)x

So the correct option is the first one.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491

#SPJ1

5a-10=4a+8

5a-4a=8+10

a=18

Answer:

2(C)

Step-by-step explanation:

You can use the slope formula to answer this which is y₁ - y₂ divided by x₁ - x₂. Let's say that (x₁, y₁) is (6,6) and the (x₂, y₂) is (1, -4). We can then substitute these values into the formula.

This would become 6- (-4) divided by 6-1.

This can be further simplified as shown:

=6+4 divided by 5

=10/5

=2

Therefore, 2 is the slope of the line

Answer:

\(t(n) = -5^{n-1}*6\)

Step-by-step explanation:

\(t(n) = -5^{n-1}*6\)

Using proportions, it is found that the total distance covered by him in 6 days is of 28.5 km.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The daily distance is of 2 x 2.375 km, as 1000 m = 1 km and he walks both ways. Hence, the total distance covered by him in 6 days is given by:

D = 6 x 2 x 2.375 = 28.5 km.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ4

Answer:

Solution

A=a2=52=25cm²

Step-by-step explanation:

\(\qquad \huge \underline{\boxed{\sf ǟռֆաɛʀ }}\)

Area of a square is :

\( \qquad \sf  \dashrightarrow \: side {}^{2} \)

that is ~

\(\qquad \sf  \dashrightarrow \: {b}^{2} \)

\(\qquad \sf  \dashrightarrow \: {5}^{2} \)

\(\qquad \sf  \dashrightarrow \: {25}^{} \: cm {}^{2} \)

Answer: 225 adult tickets, 375 student tickets

Step-by-step explanation:

a = adult tickets

s = student tickets

a + s = 600 (the adult and student ticket added together should equal 600)

6.00a + 4.50s = 3,037.50 ($6 multiply by the adult ticket plus $4.50 multiply by the student ticket should equal to 3,037.50)

a = -s + 600 (get one of the variable by itself by subtracting it from one side)

6 (-s + 600) + 4.5s = 3,037.5 (substitute the a for -s + 600)

-6s + 3600 + 4.5s = 3,037.5 (combine like terms)

-1.5s + 3600 = 3,037.5 (subtract 3600 from each side)

-1.5s = - 562.5 (divide -1.5 from each side)

s = 375

600 = 375 + a (substitute s for 375)

a = 225

Answer:

825.38

Step-by-step explanation:

Answer:

-18/35

Step-by-step explanation:

The maturity value of the investment would be $8,858.80.

To calculate the maturity value, we need to calculate the compound interest for each period separately and then add them together.

For the first 18 months, the interest is compounded semi-annually at a rate of 5%. Since there are two compounding periods per year, we divide the annual interest rate by 2 and calculate the interest for each period. The formula for compound interest is A = P(1 + r/n)^(nt), where A is the maturity value, P is the principal amount, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years. Plugging in the values, we get A = 8000(1 + 0.05/2)^(2*1.5) = $8,660.81.

For the next 5 months, the interest is compounded monthly at a rate of 10%. We use the same formula but adjust the values for the new interest rate and compounding frequency. Plugging in the values, we get A = 8000(1 + 0.10/12)^(12*5/12) = $8,858.80.

Therefore, the maturity value of the certificate after the specified period would be $8,858.80.

Learn more about compound interest here:

https://brainly.com/question/22621039

#SPJ11

\(3x \: + \: 2a \: + \: 5x \: + \: 4a\)

\( \boxed{ \bold{8x \: + \: 6a}}\)

\(7p \: + \: 6q \: - \: 2p \: + \: 9\)

\( \boxed{ \bold{5p \: + \: 6q \: + \: 9}}\)

Answer:

  a)  8x +6a

  b)  5p +7q

Step-by-step explanation:

These expressions are simplified by combining "like terms." That means adding the coefficients of terms with the same variable.

__

  3x +2a +5x +4a = (3 +5)x +(2 +4)a = 8x +6a

__

  7p +6q -2p +q = (7 -2)p +(6 +1)q = 5p +7q