is 0.007 times 10 equivalent to 0.07

The length of the rectangle is 10.5 units.

What is perimeter?

Perimeter is the distance of a two-dimensional shape. It is equal to the sum of the lengths of all the sides of the shape. The perimeter is measured in units, such as centimeters, meters, feet, or inches, depending on the unit of measurement used for the dimensions of the shape.

The perimeter of a rectangle is given by the formula:

P = 2l + 2w

where P is the perimeter, l is the length, and w is the width.

In this case, we know that the perimeter is 34 units, and the width is 6.5 units. So we can substitute these values into the formula and solve for the length:

34 = 2l + 2(6.5)

Simplifying, we get:

34 = 2l + 13

Subtracting 13 from both sides, we get:

21 = 2l

Dividing both sides by 2, we get:

l = 10.5

So the equation to determine the length of the rectangle is:

2l + 2w = P

Substituting the known values, we get:

2l + 2(6.5) = 34

Simplifying and solving for l, we get:

2l + 13 = 34

2l = 21

l = 10.5

Therefore, the length of the rectangle is 10.5 units.

To learn more about perimeter visit the link:

https://brainly.com/question/397857

#SPJ9

Complete question: The perimeter of a rectangle is 34 units, its width is 6.5 units. Write an equation to determine the length (l) of the rectangle.

Answer A+B=C that is what I know.

Step-by-step explanation:

Answer:

A= Base

B= Exponent (sometimes called Index)

C= Power

Step-by-step explanation:

A= Base

B= Exponent (sometimes called Index)

C= Power

Variance  of customers who pay by card = 16

Mean number of customers = 20

Given that,

Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make independent choices with

P(A)=0.4,

P(B)=0.2,

and

P(C)=0.4

Because we are interested in whether or not a debit card was used, we can use the binomial distribution.

Let X= the number of customers who use a debit card.

Here, probability of customers who pay with debit card (or success) is

p=0.2

(a) Mean and variance of the number of customers who pay with a debit card:

The mean number of customers who pay with a debit card can be calculated as given below:

μ=np =100×0.2

=20

The variance of the number of customers who pay with a debit card can be calculated as given below:

σ²=np(1−p) =100×0.2(1−0.2)

=16

To learn more about mean and variance

https://brainly.com/question/15713524

#SPJ4

Answer:

\(B)~ 3\sqrt{\dfrac 75} + \sqrt{- \dfrac 95 }\)

Step-by-step explanation:

\(3\sqrt{\dfrac 75} + \sqrt{- \dfrac 95 }\\\\\\= 3\sqrt{\dfrac 75} + i\sqrt{\dfrac 95 }\\\\\text{It is now in the standard form of a complex number (a+bi).}\)

Answer:

\(\dfrac{3}{2}\)

Step-by-step explanation:

We are given 2 fractions.

1st fraction is Negative StartFraction 3 over 8

i.e.

\(-\dfrac{3}{8}\)

2nd fraction is negative one-fourth

i.e.

\(-\dfrac{1}{4}\)

We have to find the quotient when 1st fraction is divided by 2nd fraction.

Definition of quotient is given as:

Quotient is the result obtained when one number is divided by other number.

\(-\dfrac{3}{8} \div -\dfrac{1}{4} \text{ is to be calculated.}\)

\(\div\) is converted to \(\times\) and the 2nd fraction is reversed i.e.

if the fraction is \(\frac{p}{q}\) it becomes \(\frac{q}{p}\) and the sign \(\div\) is changed to \(\times\).

Solving above:

\(-\dfrac{3}{8} \times -\dfrac{4}{1}\\ \text {Multiplication/Division of 2 negative number gives a positive number}\\\Rightarrow \dfrac{3}{2}\)

So, the quotient is \(\frac{3}{2}\).

The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.

In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.

Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.

Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.

It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.

for such more question on trapezium

https://brainly.com/question/22351006

#SPJ8

The correct option is C.

Apply distributive law in the expression:

Answer:

$96

Step-by-step explanation:

6(1/2) = 3 bushels of berries total

3(4) = 12 pecks of berries total

4(8) = 32 quarts of berries total

32(2) = 64 pints of berries total

64 x $1.50 = $96

Answer:

The farmer will make a total of $96 from selling 6 buckets of blueberries.

Step-by-step explanation:

The total price is determined by multiplying the 12 pecks down into pints. Each pint sells for 1.50 and he has 64 pints of blueberries.

64 x $1.50 = $96

Using simple interest, it is found that the principal loan amount was of $156,491.6.

The amount of money after t years in simple interest is modeled by:

\(A(t) = A(0)(1 + rt)\)

In which:

In this problem, she paid $984 monthly for 22 years, hence:

\(t = 22, A(t) = 984(22)(12) = 259776\)

Interest rate of 3%, hence \(r = 0.03\)

Then:

\(A(t) = A(0)(1 + rt)\)

\(259776 = A(0)[1 + 0.03(22)]\)

\(A(0) = \frac{259776}{1 + 0.03(22)}\)

\(A(0) = 156491.6\)

The principal loan amount was of $156,491.6.

A similar problem is given at https://brainly.com/question/13176347

The length of the side opposite to the reference angle is 7.77 units.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

If we take the reference angle 45°, The side 'x' is opposite and the side having a length of 11 units is the hypotenuse.

We know, sin = opposite/hypotenuse.

Therefore,

sin45° = x/11.

1/√2 = x/11.

x = 11/√2.

x = 7.77 units.

learn more about trig ratios here :

https://brainly.com/question/14977354

#SPJ1

A two-way frequency table will be given as:

\(\left[\begin{array}{ccc}&2Doors&4Doors\\New&26&46\\Old&18&35\end{array}\right]\)

Given,

Number of new cars having two doors

= total cars having two doors - old cars having two doors

= 44 - 18 = 26

Total number of cars having 4 doors = 125 - 44

= 81

Total number of old cars having four doors = 81 - 46

= 35

So, the table is as below:-

\(\left[\begin{array}{ccc}&2Doors&4Doors\\New&26&46\\Old&18&35\end{array}\right]\)

Therefore, a two-way frequency table will be given as:

\(\left[\begin{array}{ccc}&2Doors&4Doors\\New&26&46\\Old&18&35\end{array}\right]\)

"See a similar question here-

https://brainly.com/question/27820465 "

#SPJ9

Answer:

The slope is 4

The equation is y=4x-7

Step-by-step explanation:

y-y/x-x I used this equation and plugged the numbers in.

Part A: The equation that could be used to determine the length of each of the five pieces of wood cut by Warren is: x + 0.7 = 4.5

Part B: The equation from Part A is correct because it takes into account the total length of the wood (4.5 feet), as well as the amount of wood that is left over (0.7 feet).

Part C: the length of each of the five pieces of wood cut by Warren is 3.8 feet.

It is made up of two mathematical objects, with an equals sign (=) between them. Equations are used to represent relationships between unknown variables and can be solved to find their values.

Part A:

The equation that could be used to determine the length of each of the five pieces of wood cut by Warren is: x + 0.7 = 4.5, where x is the length of each piece of wood.

Part B:

The equation from Part A is correct because it takes into account the total length of the wood (4.5 feet), as well as the amount of wood that is left over (0.7 feet).

This equation can be used to calculate how much wood Warren has cut off from the original 4.5 feet of wood, which is the length of each of the five pieces of wood.

Part C:

Solving the equation from Part A:

x + 0.7 = 4.5

Subtract 0.7 from both sides:

x + 0.7 - 0.7 = 4.5 - 0.7

x = 3.8

Therefore, the length of each of the five pieces of wood cut by Warren is 3.8 feet.

For more questions related to length

https://brainly.com/question/28322552

#SPJ1

Answer: 107.1

Step-by-step explanation:

b/7= 15.3

7(15.3)= 107.1

b= 107.1

Answer:

I can't see the table...?

Step-by-step explanation:

I will answer if you have the table.

A variable in mathematics is a number that can change depending on the issue. Several mathematical statements and equations use the generic letters x, y, and z. In other words, a variable is a symbol that stands for an unknowable numeric value. Say that x Plus 5 equals 10. The "x" variable is used here.

The variable "model of car driven" is qualitative because it is an attribute characteristic. Qualitative variables are those that are not numerical in nature but rather represent characteristics or categories that can be observed or measured through attributes. In this case, the model of the car driven is a type of attribute that describes the make and model of the car, such as Honda Civic, Toyota Corolla, etc.

Therefore, option B is the correct answer.

To know more about variable visit:

https://brainly.com/question/17344045

#SPJ1

Optiοn B, "The variable is qualitative because it is an attribute characteristic," is the cοrrect answer.

A qualitative variable is a type οf variable in statistics that describes a characteristic οr quality οf an οbject οr phenοmenοn. It is alsο called a categοrical variable, and it can be nοminal οr οrdinal. Nοminal variables have categοries that have nο inherent οrder, while οrdinal variables have categοries with a natural οrder οr ranking.

The variable "Mοdel οf car driven" is qualitative because it is an attribute characteristic. Qualitative variables are variables that are nοt numerical in nature but are based οn attributes οr characteristics. In this case, the mοdel οf the car driven is a categοrical variable that describes a particular characteristic οf the car, such as its make οr mοdel. This variable cannοt be measured quantitatively οr numerically, but rather it can be categοrized based οn specific attributes οr features.

Therefοre, οptiοn B, "The variable is qualitative because it is an attribute characteristic," is the cοrrect answer.

To learn more about the qualitative variable, visit:

https://brainly.com/question/29115836

#SPJ1

The set of ordered pairs above: is a function.

The mapping diagram above: is a function.

y = x²: is a function.

The table above: is not a function.

In Mathematics and Geometry, a function is a mathematical equation which is typically used for defining and representing the relationship that exists between two or more variables such as an ordered pair.

Based on the set of ordered pairs, mapping diagram, and the equation above, we can reasonably infer and logically deduce that it represent a function because the input values (domain, x-value, or independent values) are uniquely mapped to the output values (range, y-value or dependent values).

In this context, we can reasonably infer and logically deduce that the table does not represent a function because the input value (-1) has more than output values (2 and 4 respectively).

Read more on function here: brainly.com/question/27862183

#SPJ1

Answer: 2x2 + 1000 x 1000 = 1000004

Step-by-step explanation: you add on 5 0's to the one and 2x2 = 4 so add on the 4 also

Answer:

1000004

Step-by-step explanation:

First we do can separate it into the parentheses: (2*2) + (1000*1000)

= 4 + 1000000

= 1000004

Answer:

X = 1 2 3 4 5 6

P(x) 1/2 1/6 1/12 1/12 1/12 1/12

Step-by-step explanation:

The probability of getting 1 is 50%, the probability of getting 2 is 16.66%, and the probability of getting 3, 4, 5, or 6 is 8.33% each.

To construct a probability distribution for the data that states that a die is loaded in such a way that the probabilities of getting 1, 2, 3, 4, 5, and 6 are 1/2, 1/6, 1/12, 1 /12, 1/12, and 1/12 respectively, the following calculation must be performed:

Therefore, the probability of getting 1 is 50%, the probability of getting 2 is 16.66%, and the probability of getting 3, 4, 5, or 6 is 8.33% each.

Learn more about probability in https://brainly.com/question/21852517

Answer:

Step-by-step explanation:

6) We would like to find out the area of the following arcs with ,

As we know that the area of sector is given by ,

\(\longrightarrow Area =\dfrac{\theta}{360^o}\times \pi r^2 \)

Here on substituting the respective values , we have ,

\(\longrightarrow Area =\dfrac{75}{360}\times \dfrac{22}{7}\times 16m \times 16m \\\)

Simplify,

\(\longrightarrow \underline{\underline{Area =167.61 \ m^2}}\)

8) Again we would like to find out the area with ,

Firstly we know that ,

\(\longrightarrow \pi \ rad = 180^o\)

So ,

\(\longrightarrow 2\pi rad = 360^o \)

Therefore , the formula becomes ,

\(\longrightarrow Area =\dfrac{\theta}{2\pi}\times πr^2 \)

Substitute ,

\(\longrightarrow Area =\dfrac{19\pi}{12\times 2\pi}\times \pi r^2\\ \)

So that,

\(\longrightarrow Area =\dfrac{19}{24}\times \dfrac{22}{7}\times 14ft \times 14ft \\ \)

Simplify,

\(\longrightarrow \underline{\underline{ Area = 487.66 ft^2 }}\)

And we are done !

#1

Area

#2

Area

Let m = miles traveled in 12 minutes.

2.2/m = 30/12

Cross-multiply here.

30m = (2.2)(12)

30m = 26.4

m = 26.4 ÷ 30

m = 0.88

In 12 minutes, 0.88 miles is traveled.

Answer:

30.9

Step-by-step explanation:

Step-by-step explanation:

please give me brainlest

Answer:

- 0.45a

Step-by-step explanation:

0.55a - a

O.55 - 1 = - 0.45

= - 0.45a

The equivalent exponential equations are given as follows:

\(2^{4x} = 2^{3(x - 3)}\)

The exponential expression for this problem is defined as follows:

\(2^{4x} = 8^{x - 3}\)

The number eight is the third power of 3, that is:

8 = 2³.

The power of a power rule is used when a single base is elevated to multiple exponents.

Then the simplified expression is obtained keeping the base, while the exponents are multiplied.

Meaning that the equivalent expression on the right side of the equality in this problem is given as follows:

\(8^{x - 3} = (2^3)^{x - 3} = 2^{3(x - 3)}\)

Meaning that the correct option is given by the fourth option.

More can be learned about the power of a power property at brainly.com/question/11975096

#SPJ1

The difference between the depths in February and July is 31 feet.

The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:

Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.

Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.

Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.

Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.

Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.

Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.

The difference between the depths in February and July is:

|−6| − |−25| = 6 − (−25) = 6 + 25 = 31

Therefore, the correct choice is B) 31 feet.

Learn more about depth here:

brainly.com/question/20070144

#SPJ1

Answer:

C

Step-by-step explanation:

if we consider perfect squares either side of 45 , that is

36 < 45 < 49 , then

\(\sqrt{36}\) < \(\sqrt{45}\) < \(\sqrt{49}\) , so

6 < \(\sqrt{45}\) < 7

thus \(\sqrt{45}\) is between 6 and 7 , that is point C on the number line

Answer:

C

Explanation:

√45 is irrational, so to approximate where it goes on the number line, you should find the closest squares to it, which are 36 and 49. These numbers are the squares of 6 and 7, so √45 can't be A, B, or D, as none of them are between 6 and 7. Only C is, and as √45 is closer to √49 than √36, it should be closer to 7 in the number line, but still in between both of them.

Hope this helps !! :D

Answer:

basically count how may spaces are between both numbers

Step-by-step explanation:

The value of the house changes by 8% each year.

The percentage that a lender adds to the amount of money lent to them is called an interest rate.

The given function is \(v(t) = 659500(1.08)^t\).

(1)

To find the initial value of the house, substitute t=0 into the function:
\(v(0)=659500(1.08)^0\\= 659500\)

(2)

The general form of an exponential growth function is f(x) = a(1+ r)ˣ.

Since the given function is in the form of growth, it represents growth.

(3)

Comparing the given function with the general form of the exponential growth function, it follows:

1 + r = 1.08

r = 1.08 -1

r = 0.08

r = 8 %

Hence, the value of the house changes by 8% each year.

Learn more about the interest rates:

https://brainly.com/question/13324776

#SPJ1

Answer:

D.  Examiner's Amendment

Step-by-step explanation:

Maria most likely received an Examiner's Amendment letter from the Patent Office regarding her patent. This letter is sent when there are informalities, errors, or missing information from the submitted patent. It is sent to the individual that submitted the patent so that they may correct these and resubmit so that the patent office can continue verifying the patent with all the necessary information to continue the process. Since Maria's patent had incomplete information this was most likely what she received.

Answer:

the correct answer is C. Final Office Action

Step-by-step explanation:

i just took the test and i got it right, edmentum

The percentile of 6.2 in the given data set is 40%.

To determine the percentile of 6.2 in the given data set, we can use the following steps:

Arrange the data set in ascending order:

4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2

Count the number of data points that are less than or equal to 6.2. In this case, there are 4 data points that satisfy this condition: 4.2, 4.6, 5.1, and 6.2.

Calculate the percentile using the formula:

Percentile = (Number of data points less than or equal to the given value / Total number of data points) × 100

In this case, the percentile of 6.2 can be calculated as:

Percentile = (4 / 10) × 100 = 40%

The percentile of 6.2 in the sample data set is therefore 40%.

for such more question on percentile

https://brainly.com/question/24877689

#SPJ8