60% of a rectangular garden measuring 3 by 6 is covered by snow. What area of the garden is not covered by snow?

To determine how much fence is needed to fence the yard, you have to calculate the perimeter of the yard.

The yard is rectangular with dimensions 65ft by 32ft. To calculate the perimeter you have to add twice the length and twice the width:

The perimeter of the yard is 194ft.

Next, you have to express the perimeter in meters to determine how much fence he must buy.

1foot = 0.3048meters

To express the result in meters you have to multiply it by 0.3048:

The perimeter of the yard is 59.13 meters, round it to the next whole number, so he needs to buy 60 meters of fence.

Answer:

The perimeter of the yard is 59.13 meters, round it to the next whole number, so he needs to buy 60 meters of fence.

Step-by-step explanation:

Answer:

y = -x + 10

Step-by-step explanation:

Answer:

1890

Step-by-step explanation:

Area formula: B × H

Substitute and solve:

70 × 27 = 1890

So, the area is 1890.

Hope this helped.

Answer:

slope = \(\frac{6}{5}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, - 5) and (x₂, y₂ ) = (7, 1)

m = \(\frac{1+5}{7-2}\) = \(\frac{6}{5}\)

The required slope of the line passes through the points (2, -5) and (7, 1) is m = 6/5

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

here,

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:

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

Let's apply this formula to the given points:

m = (1 - (-5)) / (7 - 2)

m = 6 / 5

Thus, the required slope of the line passes through the points (2, -5) and (7, 1).

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Answer:

0.45 m, 0.63 m, 0.72 m

Step-by-step explanation:

Let the three parts of the line be 5x, 7x and 8x

Therefore,

5x + 7x + 8x = 1.8

20x = 1.8

x = 1.8/20

x = 0.09

5x = 5*0.09 = 0.45 m

7x = 7*0.09 = 0.63 m

8x = 8*0.09 = 0.72 m

A store sells 5 oranges and 10 apples.

What is the cost amount?

The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.

Here, we have

Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.

We have to determine how many of each type of fruit were sold.

We, let the oranges be x.

let the apples be y.

x + y = 15...(1)

1x + 2y = 25...(2)

We subtract equation(2) from equation(1), we get

y = 10

Now we put the value of y in equation (1) and we get

x + 10 = 15

x= 5

Hence, a store sells 5 oranges and 10 apples.

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69.12ft

11x2 = 22

C= pi x d

= pi x 22

= 22pi

Or

69.11503838

Hope this helps!

The question that is a statistical question is "How many miles did your family drive last week?"

A statistical question is a question that requires collecting and analyzing data to answer.

It involves investigating a specific variable or variables and determining patterns, trends, or relationships within the data.

The question "How many miles did your family drive last week?" is statistical, as it involves collecting and analyzing data related to a specific variable (miles driven) over a certain period of time (last week).

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Answer:

angle m1 = 40°

Step-by-step explanation:

The first angel presented to the left is 40° if you take that and flip it its the same as M1 therefore its 40°.

Answer:

18 miles

Step-by-step explanation:

you use the scale to convert the distance to miles therefore

1in=9ml

2in. ?

18miles

The type of angle in which angle 3 and angle 6 are, is that they are alternate interior angles ( option C)

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Since line c and line b are parallel to each other and line a is the transversal that cut through both of them the angle on line a and line b will have the following characteristics;

They can be;

supplementary

alternate exterior

alternate interior

vertically opposite

and corresponding

The property between angle 3 and angle 6 is that they are alternate interior to each other.

Therefore angle 3 and angle 6 are alternate interior angles.

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Answer:

∠EFA

Step-by-step explanation:

The diagram shows several rays starting at point F. There are 2 sets of rays that are opposite to each other ie their angles add up to 180°

These are
FD and FA
FB and FE

You can ignore the other two rays since they do not have any opposite rays and therefore do not figure in a linear relationship

Ignoring FG and FC we get the equivalent of two lines crossing each other at point F

We can eliminate any angles that contain C and G
So we can eliminate ∠BFC, ∠CFG and ∠GFD

Which leaves the last choice as the only option

So answer is ∠EFA

∠EFA is linearly paired with ∠BFD since they lie on the same straight line and the measure of sum of their angles is 180°

∠EFA also is vertically paired with ∠BFD since these angles are opposite each other

Answer:

(-2,0) and (1,0)

Hope this helps!

The image is reflected over the y-axis. Then the correct option is B.

Given that:

Point of the polygon VWXYZ, W(2, 4)

Point of the polygon V'W'X'Y'Z', W'(-2, 4)

The translation does not change the shape and size of the geometry. But changes the location.

The reflection does not change the shape and size of the geometry. But flipped the image.

The point W' can be obtained by reflecting the shape across the y-axis.

Thus, the correct option is B.

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The missing diagram is given below.

y(x) grows without bound as x becomes very large. Rounded to the nearest hundredth, the limit of y(x) as x approaches infinity is infinity.

To find the limit of y(x) as x approaches infinity, we need to analyze the behavior of y(x) as x becomes very large. We can do this by finding a solution to the differential equation and examining its long-term behavior.

First, let's find a particular solution to the differential equation. We can use the method of undetermined coefficients to guess a particular solution of the form y_p = Ax + B, where A and B are constants to be determined. Substituting this into the differential equation gives:

\(x^2(0) + 4x(2A) + 2(Ax + B) = 2\)

Simplifying, we get:

2Ax + 2B = 2

So we have A = 1 and B = 0. Therefore, y_p = x is a particular solution to the differential equation.

Next, let's find the general solution to the homogeneous equation x^2y'' + 4xy' + 2y = 0. We can start by assuming a solution of the form y = x^r. Substituting this into the differential equation gives:

\(x^2(r(r-1)x^{(r-2)}) + 4x(rx^{(r-1)}) + 2x^r = 0\)

Simplifying, we get:

r(r+1) + 4r + 2 = 0

This is a quadratic equation in r, which can be solved using the quadratic formula:

\(r = (-4 + \sqrt{(4^2 - 4(2)(1)))/(2(1))} = (-4 + \sqrt{2} )/2 = -2 + \sqrt{2}\)

Therefore, the general solution to the homogeneous equation is:

\(y_h = c1 x^{(-2+ \sqrt{2} ) }+ c2 x^(-2- \sqrt{2} )\)

where c1 and c2 are constants to be determined from the initial conditions.

Applying the initial conditions y(0) = 0 and y'(0) = 0, we get:

c1 + c2 = 0 (from y(0) = 0)

(-2+sqrt(2))c1 + (-2-sqrt(2))c2 = 0 (from y'(0) = 0)

Solving this system of equations, we get:

c1 = (-2-√(2))/(4-2√(2)) ≈ 0.91

c2 = (2+√(2))/(4-2√(2)) ≈ -0.91

Therefore, the general solution to the differential equation is:

\(y(x) = x + c1 x^{(-2+\sqrt{2} )} + c2 x^{(-2-\sqrt{2} )\)

To find the limit of y(x) as x approaches infinity, we only need to consider the dominant term in the general solution, which is x. Therefore, the limit of y(x) as x approaches infinity is:

lim(x->∞) y(x) = lim(x->∞) x = ∞

In other words, y(x) grows without bound as x becomes very large. Rounded to the nearest hundredth, the limit of y(x) as x approaches infinity is infinity.

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Answer:The amount of a 80% acid solution that must be mixed with a 55% solution to produce 600 mL of a 60% solution can be calculated using a simple algebraic equation. Let x represent the amount of the 80% acid solution in mL that needs to be mixed with the 55% solution.

The equation can be set up as follows:

0.80x + 0.55(600 - x) = 0.60(600)

Step-by-step explanation: The left-hand side of the equation represents the total amount of acid in the mixture. The first term, 0.80x, represents the amount of acid from the 80% solution, and the second term, 0.55(600 - x), represents the amount of acid from the 55% solution. The right-hand side of the equation represents the total amount of acid in the final 60% solution, which is 60% of 600 mL.

By solving this equation for x, we can determine the amount of the 80% acid solution that needs to be mixed with the 55% solution. Once we have the value of x, we can then calculate the amount of the 55% solution by subtracting x from 600 mL.

Internal Link: For a verified answer on a similar topic, check out this link: https://brainly.com/question/1234567 intext:Answer Expert Verified.

Let x=amount of 80% solution needed

Then 600-x=amount of 30% solution needed

Now we know that the pure acid in the 80% solution (0.80x) plus the amount of pure acid in the 30% solution ((0.30)(600-x)) has to equal the amount of pure acid in the final mixture(0.40*600), so our equation to solve is:

0.80x+0.30(600-x)=0.40*600 get rid of parens

0.80x+180-0.30x=240 subtract 180 from each side

0.80x+180-180-0.30x=240-180 collect like terms

0.50x=60 divide each side by 0.50

x=120 ml---------------------amount of 80% solution needed

600-x=600-120=480 ml---------------amount of 30% solution needed

CK

120*0.80+480*0.30=0.40*600

96+144=240

240=240

Answer:

Step-by-step explanation:

The following is the information provided

number of students is 5

The number of math major = 3

The number of statistic major = 2

Label math students as A, B, C

And statistic students as D, E

The total number of ways to select two students from 5 students is 10

The sample space is S = {AB,AC,BC,AD,AE,BD,BE,CD,CE,DE}

Yes , in the sample space the events are equally alike

What is the probability that both selected students are statistics majors

The selected students of statistic major are DE

the probability that both selected students are statistics majors is \(\frac{1}{10}\)

= 1/10

What is the probability that both students are math majors

The selected students of statistic major are AC,AB,BC

the probability that both selected students are math majors is \(\frac{3}{10}\)

= 3/10

What is the probability that at least one of the students selected is a statistics major

Number of ways to select at least one of the students selected is a statistic major is {AD,AE,BD,BE,CD,CE,DE}

the probability that at least one of the students selected is a statistics major is \(\frac{7}{10}\)

7/10

What is the probability that the selected students have different majors

Number of ways to select students with different major is  {AD,AE,BD,BE,CD,CE,}

the probability that the selected students have different majors is \(\frac{6}{10}\)

6/10

The measure of angle DEF is 37 degrees.

What is chord in circle

In geometry, a chord is a straight line segment that connects two points on the circumference of a circle. More specifically, a chord of a circle is a line segment whose endpoints lie on the circle.

Every circle has infinitely many chords, but some of the most commonly discussed chords are the diameter (a chord that passes through the center of the circle), and the secant (a chord that intersects the circle at two distinct points).

Chords play an important role in geometry, as they can be used to determine various properties of circles, such as their radius, diameter, and area.

Since G is the center of the circle, the angle DGE is a central angle of the circle.

Therefore, the angle DGE is equal to twice the inscribed angle DEF that subtends the same arc DE.

Let x be the measure of angle DEF. Then, we have:

2x = 74

x = 37

Hence, the measure of angle DEF is 37 degrees.

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Answer:

Step-by-step explanation:

Corresponding sides of congruent figures are congruent. We can use this fact to find x:

  KL = XY

  3x +9 = 129

  3x = 120 . . . . . subtract 9

  x = 40 . . . . divide by 3

__

Similarly, corresponding angles of congruent figures are congruent. This means ...

  ∠J = ∠W

  (2y +2)° = 122°

  y +1 = 61 . . . . . . divide by 2°

  y = 60 . . . . . . subtract 1

Answer:

write the whole number and mixed number as improper fractions i believe

Answer:

Convert the mixed numbers into improper fractions.

Answer:

the answer is: 9.25

Step-by-step explanation:

the cube root of 792 is approximately 9.252.

To find the cube root of 792, we can use the relationship between cube roots and cube numbers.

If the cube root of 99 is approximately 4.626, we can use this information to find the cube root of 792.

Let's calculate the cube root of 792 using the relationship:

(cube root of 792) = (cube root of 99) * (cube root of 8)

Since 792 is equal to 99 multiplied by 8 (792 = 99 * 8), we can rewrite the equation as:

(cube root of 792) = (4.626) * (cube root of 8)

Now, we need to find the cube root of 8:

(cube root of 8) = 2

Substituting this value back into the equation, we get:

(cube root of 792) = (4.626) * (2) = 9.252

Therefore, the cube root of 792 is approximately 9.252.

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Answer:

2.41 × 10⁻⁴

Step-by-step explanation:

Scientific notation (also called "Standard form") is written in the form

\(a \times 10^n\) , where \(1\leq a < 10\) and \(n\) is any positive or negative whole number.

To convert a number into scientific notation, move the decimal point to the left or right until there is one digit to the left of the decimal point.

The number of times you have moved the decimal point is the power of 10 (the value of n).

Therefore, to convert 0.000241 to scientific notation, move the decimal point 4 places to the right so that \(a\) is 2.41.  As the decimal point has been moved 4 places the right, we need to multiply 2.41 by 10⁻⁴.

Therefore,  0.000241 = 2.41 × 10⁻⁴.

Answer:

28/10

14/5

3 - 1/5

Step-by-step explanation:

28/10

14/5

3 - 1/5

The whole numbers to make 2.8 in three different ways are 28/10,14/5, 3 - 1/5.

An entire quantity is an absolutely any high-quality wide variety that does not encompass a fractional or decimal component. because of this, as an example, the numbers 0, 1, 2, three, 4, 5, 6, and 7 are all whole numbers. Numbers that include -three, 2.7, or 3 ½ aren't whole numbers.

The complete numbers are a set of real numbers that consist of 0 and all superb counting numbers. while, excludes fractions, negative integers, fractions, and decimals. when you consider that, 1 is a positive integer and is a counting number. therefore, it is taken into consideration to be a whole wide variety.

sure, 0 is a rational variety. because we understand, a rational number may be expressed as p/q, in which p and q are integers and q isn't equal to 0. for this reason, we will explicit zero as p/q, wherein p is identical to zero and q is an integer.

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Answer:(-2,-6)

Step-by-step explanation:Put it in a graph and it should be the dot in the direct middle

Answer:

f(x)= (x+2)^2-6

Step-by-step explanation:

The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

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After answering the provided question, we can conclude that \(4^1 = 4.1 i\)s expression false. The left-hand side simplifies to 4, while the right-hand side simplifies to 4.1. These values are not equal, so the equation is false.

In mathematics, an expression is a collection of symbols, digits, and companies that portray a statistical correlation or formula. An expression can be a single number, a mutable, or a combination of both of them. Addition, subtraction, proliferation, division, and exponentiation are examples of mathematical operators.  Expressions are used extensively in mathematics, including arithmetic, calculus, and geometry. They are used in mathematical formula representation, equation solution, and mathematical relationship simplification.

\(9.9.3 = 3^5\)is false. The left-hand side of the equation is equivalent to 891, while the right-hand side is equivalent to 243. These values are not equal, so the equation is false.

\(7+7+7= 3+3+3+3+3+3+3\)is true. Both sides of the equation simplify to 21, so the equation is true.

\(1/7.1/7.1/7 = 3/7\) is false. The left-hand side simplifies to approximately \(0.000338\), while the right-hand side simplifies to approximately 0.428571. These values are not equal, so the equation is false.

\(4^1 = 4.1 i\)s false. The left-hand side simplifies to 4, while the right-hand side simplifies to 4.1. These values are not equal, so the equation is false.

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The scientific notation of weight of animal is 1.736 × 10^5.

What is scientific notation?

The scientific notation helps us to represent the numbers which are very huge or very tiny in a form of multiplication of single-digit numbers and 10 raised to the power of the respective exponent. The exponent is positive if the number is very large and it is negative if the number is very small. Learn power and exponents for better understanding.

The numbers can be written as a×10ⁿ.

Given, the weight of one animal is 8.16 × 10^4 and other animal is 9.2×10^4

Therefore, the sum of the weights in scientific notation is

=8.16 × 10^4 +9.2×10^4

Since they have same power of exponent, hence

=(8.16+9.2)10^4 =17.32×10^4

or we can write it as

1.732×10^5.

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The adjusting journal entry will include a debit to the allowance for credit losses of R4,400.

the correct answer is C. debit to allowance for credit losses of R4,400.

To determine the adjusting journal entry for J&amp;L Electrical Services, we need to calculate the ending balance of accounts receivable and the necessary adjustment for the allowance for credit losses.

Beginning balance of accounts receivable: R200,000

Services delivered on credit: R660,000

Collections from debtors: R640,000

To find the ending balance of accounts receivable, we subtract the collections from the sum of the beginning balance and services delivered on credit:

Ending accounts receivable = (Beginning balance + Services delivered) - Collections

Ending accounts receivable = (R200,000 + R660,000) - R640,000

Ending accounts receivable = R220,000

Now, we need to calculate the adjustment for the allowance for credit losses. J&amp;L Electrical Services estimates that 2% of the ending accounts receivable will not be collected:

Allowance for credit losses adjustment = Ending accounts receivable * Estimated uncollectible percentage

Allowance for credit losses adjustment = R220,000 * 2% = R4,400

Since the allowance for credit losses has a beginning balance of R4,000, we need to increase it by R4,400 to match the estimated uncollectible amount:

the correct answer is C. debit to allowance for credit losses of R4,400.

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