joyce paid $90 for an item at the store that was 40 percent of the original price. what was the original price?

Answer:

7

Explanation:

Use the distance formula to find the answer

Answer:

7 units

Step-by-step explanation:

since the x- coordinates of L and M are equal , both - 1 then the length of LM is the absolute value of the difference of the y- coordinates.

LM = | 4 - (- 3) | = | 4 + 3 | = | 7 | = 7

or

LM = | - 3 - 4 | = | - 7 | = 7

Altitude of jet is 274.6ft if it will make average of 3 degree angle of descent.

Given is that angle of decent is 3degree.

Ground distance to the airport is 5280.

angle of decent is also known as angle of elevation.

if we consider a triangle ABC ⊿  angle B as 90 degree.

A at left  and C at top.

angle A is known as angle of elevation we can use \(\theta\) for angle of elevation.

distance to the airport is known as base of the right angle triangle.

we have asked about the altitude of right-angle triangle.

altitude is known as the height in right angle triangle.

we know the tangent formula.

The tangent of an angle in trigonometry is the ratio of the lengths of the adjacent side to the opposing side. To put it another way, it is the proportion of a sine to a cosine function at an acute angle such that the cosine function's value should not be zero.

tan\(\theta\) =  Altitude/Base

Altitude  = tan\(\theta\)* Base

= tan3 * 5280

= 0.052*5280

=274.6

So the altitude is 274.6ft

Given Question is incomplete complete Question here:

When landing, a jet will average a 3 degree  angle of descent. Find the altitude of a jet on final descent if its ground distance to the airport is 5280 /t

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Answer:

the answer is 21

Step-by-step explanation:

126/6

=21

Answer:

Step-by-step explanation:

Remark

Change the order so that you are dealing with a cancelation first.

(-2/3) * (-3) * 2 1/2

Do the cancelation and multiply by 2 1/2

Solution

-2/3 * -3 = 2    There are two minus signs which make a plus.

2 * (5/2) = 10/2 = 5 (You could also cancel).

Answer 5

Answer:

1: 5

2: 67

3: 65

4:  30

5: 210

6: 210

Step-by-step explanation:

Answer:

x = 174080/y

y =  174080/x

Step-by-step explanation:

The difference in the elevation between the canyon and the bird's nest is 737. 3 feet

From the information given, we have that;

Let's convert the mixed fractions to improper fraction;

= - 263/ 5 = - 52. 6 feet

789 3/ 10 = 7893/ 10 = 789. 3 feet

The difference in the elevation between the canyon and the bird's nest ;

= -52. 6 + 789. 9

= 737. 3 feet

Thus, the difference in the elevation between the canyon and the bird's nest is 737. 3 feet

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The explanation of {x} - intercept and {y} - intercept are mentioned above.

Given is a graph as shown in the image.

We can write the meaning of the {x} - intercepts and {y} - intercepts as follows.

Therefore, the explanation of {x} - intercept and {y} - intercept are mentioned above.

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120 ways can the letters in the word spoon be arranged. So, The correct option is d) 120.

The word "spoon" has five letters, and we need to find the number of ways to arrange these letters. This can be done using the permutation formula, which is n!/(n-r)!, where n is the total number of items and r is the number of items being selected. In this case, we have five items and we need to arrange all of them, so r = 5. Therefore, the number of arrangements is 5!/(5-5)! = 5!/0! = 5x4x3x2x1 = 120.

To understand this concept better, consider that the first letter of "spoon" can be any of the five letters. Once we choose a letter for the first position, there are four letters left to choose from for the second position, three for the third position, two for the fourth position, and only one letter left for the fifth position. Multiplying these numbers gives us the total number of arrangements. Therefore, there are 120 ways to arrange the letters in the word "spoon". So the correct answer is d) 120.

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Answer:

Step-by-step explanation:

question must be f(x)=5x-2/6

fog(x)= [5(6x+2/5)-2]/6 = [6x+2-2] /6 = x

gof(x)= [6(5x-2/6) +2]/5 = [ 5x-2+2]/5 = x

hence fog(x)=gof(x)

The area of the triangle based on the information given is 16.67 inches ²

It should be noted that the area of a triangle is given by the formula:

= 1/2 × base × height

In this second figure, the height will be:

= 5.9² - (3.4/2)²

= 5.9² - 1.7²

= 34.81 - 2.89

= 5.65

The area will be:

= 1/2 × base × height

= 1/2 × 5.65 × 5.9

= 16.67 inches ²

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The side opposite to angle B is AC. The side adjacent to angle B is BC. The hypotenuse is segment AB.

A pair of sides are referred to as neighboring if they have a shared angle. The term "hypotenuse" refers to a right-angled triangle's longest side as compared to the base and perpendicular lengths. The right angle, the largest angle of the three angles in a right triangle, lies opposite the hypotenuse side. In essence, only the right triangle possesses the hypotenuse feature, not any other triangles.

From the figure we observe that the side opposite to angle B is AC.

The angle adjacent to angle B is BC.

The hypotenuse is segment AB.

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Answer:

How to calculate 8 + 3(5 - 7)​

Use Pemdas

Pemdas

8 + 3(5 - 7)​

5 - 7

= -2

8 + 3 ⋅ -2

Pemdas

8 + 3 ⋅ -2

3 x -2

= -6

8 + -6

Pemdas

8 + -6

Step-by-step explanation:

You're welcome.

Answer:

8+3(5-7)=-2

You will use the"Bracket Of Division Multiplication Addition and Subtraction(BODMAS)" method. Hence solve the one in the bracket first. So it's going to be 5-7 which is -2.Then you continue with the multiplication of 3 by the -2 you got making -6. Finally add the 8 to the -6 making 2.

Answer:

56

Step-by-step explanation:

since an octagon has 8 sides, you do 7x8 and you get 56.

Answer: It’s 56 if you multiply it by the number of sides

Step-by-step explanation:

(a) Consider only thermal expansion using the volume coefficient of thermal expansion.
(b) Consider the introduction of vacancies using the energy of vacancy formation and the change in number of vacancies.

When a metal is heated, its density decreases due to two sources: thermal expansion of the solid and the formation of vacancies.

(a) To determine the density of a gold specimen at 800°C considering only thermal expansion, we need to use the volume coefficient of thermal expansion. The volume coefficient of thermal expansion (β) for gold is given as 3 × 10^-5 K^-1. We can calculate the change in volume using the equation:

ΔV = V * β * ΔT

where ΔV is the change in volume, V is the initial volume, β is the volume coefficient of thermal expansion, and ΔT is the change in temperature.

Since density is inversely proportional to volume, we can use the equation:

ρ = m / V

where ρ is the density, m is the mass, and V is the volume.

(b) To repeat the calculation considering the introduction of vacancies, we need to use the energy of vacancy formation (E) given as 0.98 eV/atom. The change in energy (ΔE) due to the introduction of vacancies can be related to the change in number of vacancies (ΔNv) using the equation:

ΔE = ΔNv * E

Since vacancies contribute to a decrease in density, we can relate the change in number of vacancies to the change in density using the equation:

Δρ = -ΔNv * (m / V)

where Δρ is the change in density, ΔNv is the change in number of vacancies, m is the mass, and V is the volume.

It's important to note that the calculation of the change in density due to vacancies requires additional information, such as the number of atoms per unit volume and the change in number of vacancies.

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The correct choice is within your skills and abilities.

Once you get to determine things you are capable of and things you are not capable of, you will be able to concentrate on your strengths more. This will in turn produce big results as compared to if you opted to concentrate on your weaknesses.

It will also result in no or less time wasted in doing what you are less capable of.

Its almost close to impossible to be able to do everything. Each person is gifted in a certain area or skill or capability. We are all different and that's okay.

Its so important to concentrate in the areas you are more comfortable with. This will help you much with improving your skills and abilities.

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Answer:

Step-by-step explanation:

a you just had to say a

If decimal scaling normalization is applied to the given data set, the normalized value of the first reading, 9, would be 0.09.

To normalize the first reading, 9, we divide it by 100. Therefore, the normalized value of 9 would be 0.09.By applying the same normalization process to each value in the data set, we would obtain the normalized values for all readings. The purpose of normalization is to scale the data so that they fall within a specific range, often between 0 and 1, making it easier to compare and analyze different variables or data sets.

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Answer:

-4.2c+4.8d

Step-by-step explanation:

(−7c+8d)0.6

Distribute

-7c*.6 + 8d * .6

-4.2c+4.8d

Answer:

-4.2c + 4.8d

Step-by-step explanation:

We would like to distribute the 0.6 in the expression (-7c + 8d) * 0.6.

Remember that when distributing, we multiply the "outside number" (0.6 in this case) by each of the "inside numbers" (-7c and 8d) and then add those products.

So, the first product will be: 0.6 * (-7c) = -4.2c. The second product will be: 0.6 * 8d = 4.8d. Add these together: -4.2c + 4.8d.

The answer is thus -4.2c + 4.8d.

~ an aesthetics lover

Answer:

y = 9.5 or 19/2

Step-by-step explanation:

4y - 18 = 20

Add 18 to both sides.

4y = 38

Divide by 4.

y = 9.5 or 19/2

Answer:

34

Step-by-step explanation:

4y-18=20

+18 +18

________

4y=38

/4

________

9.5

The correct answer is option c. Which is the function is increasing when x is greater than zero.

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

In the graph, we can see that at the origin the graph becomes zero. When the graph proceeds rightwards the value of the function is increasing as the value of x is increasing.

Therefore the correct answer is option c. Which is the function is increasing when x is greater than zero.

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a. all solutions contain (0,0), we note that when x = 0, y = 0 + C(0) = 0 for any value of C. b. the particular solution is y = x + x = 2x. c. There are no horizontal asymptotes because y approaches infinity as x approaches infinity and negative infinity as x approaches negative infinity.

(a) To verify that y = x + Cx, x = -C and C = 0 is a general solution, we substitute y = x + Cx into the differential equation:

dxdy = x*(x + Cx) - (x + Cx)^2 = x^2 - C^2x^2

The right-hand side simplifies to (1 - C^2)x^2, which is a function of x only. Therefore, y = x + Cx is a solution for any value of C, including C = 0.

To show that all solutions contain (0,0), we note that when x = 0, y = 0 + C(0) = 0 for any value of C.

(b) To find the particular solution that passes through (1,2), we plug in x = 1 and y = 2 into the general solution:

y = x + Cx

2 = 1 + C*1

C = 1

So the particular solution is y = x + x = 2x.

To find dxdy at (0,0), we take the derivative of y with respect to x:

dxdy = 2

(c) To find the vertical asymptotes, we look for values of x such that the denominator of y' (which is y^2 - x^2) becomes zero. This occurs when y = x or y = -x. Thus, the lines y = x and y = -x are vertical asymptotes.

There are no horizontal asymptotes because y approaches infinity as x approaches infinity and negative infinity as x approaches negative infinity.

(d) The particular solution that passes through (1,2) is a straight line with slope 2, passing through the point (0,0). To sketch both branches of this curve, we extend the line through the origin in both directions.

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Answer:

There is a 92°F difference between the two cities.

Step-by-step explanation:

Since you are finding the difference of temperatures between the two cities, you need to subtract -14 from 78. It looks like 78-(-14). Since you are subtracting a negative number, the equation becomes 78+14. 78+14 is 92.

In scenario three, we explore additional options e and f, each with their own unique probabilities and potential outcomes.

Option e introduces a 50% chance of winning $0 or an unspecified amount, while option f offers a 50% chance of winning either $20 or $60.

These options introduce different potential outcomes and associated probabilities compared to the original scenarios. In option e, there is an equal chance of winning nothing or winning an unspecified amount of money.

The introduction of these options expands the range of possible outcomes and probabilities in scenario three, providing different risk-reward trade-offs for the decision-maker.

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Answer:

165 km

Step-by-step explanation:

We know the ratio of map distance to actual distance is 1 cm : 15 km

Multiplying both sides by 11, we have 11 cm : 165 km

The value of y for the point (3, y) on the line passing through the points (2, 2) and (3, y) with a slope of -3 is y = -1.

To find the value of y for the point (3, y) on the line passing through the points (2, 2) and (3, y) with a slope of -3, we can use the slope formula:

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

Substituting the given values:

-3 = (y - 2) / (3 - 2)

Next, we can cross-multiply:

-3(3 - 2) = y - 2

Simplifying:

-3 = y - 2

To isolate y, we can add 2 to both sides:

-3 + 2 = y - 2 + 2

-1 = y

Therefore, the value of y for the point (3, y) on the line passing through the points (2, 2) and (3, y) with a slope of -3 is y = -1.

So, the point (3, -1) lies on the line with a slope of -3 passing through the points (2, 2) and (3, -1).

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The missing number in the diagram could be either 623 or 311, depending on the specific context or rules of the puzzle.

To find the missing number in the diagram, we can observe that each straight line of three numbers has a total sum of 3552. Let's analyze the given numbers:

Line 1: 628 + 1 + 7 = 636

Line 2: 8 + 1 + 4 = 13

Line 3: 5 + 3 + 4 = 12

Line 4: 2 + ? + ? = ?

To maintain the sum of 3552 for each line, we can subtract the sum of the known numbers from 3552 to find the missing values.

3552 - 636 = 2916

3552 - 13 = 3539

3552 - 12 = 3540

The difference between the known sums and the desired total sum is as follows:

2916 - 3539 = -623

3540 - 3539 = 1

Since the total sum for Line 4 must be 3552, we can deduce that the two missing numbers must add up to 623. Given that the numbers in the diagram are integers, the possible combination of two numbers is 623 and 0, or 311 and 312.

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The area of a circle can be calculated using the formula A = πr^2, where A is the area and r is the radius of the circle. Since we are given the diameters of the circles, we first need to find their radii.

The radius of the small circle is half its diameter, so it is 10/2 = 5 feet. Therefore, the area of the inner circle is A_inner = π(5^2) = 25π square feet.

The radius of the large circle is half its diameter, so it is 20/2 = 10 feet. Therefore, the area of the outer circle is A_outer = π(10^2) = 100π square feet.

To find the area of crushed stone needed, we subtract the area of the inner circle from the area of the outer circle: A_stone = A_outer - A_inner = 100π - 25π = 75π square feet.

Since π is a constant approximately equal to 3.14, we can approximate the area of crushed stone as 75π square feet or approximately 235.5 square feet. Thus, Pat should buy approximately 235.5 square feet of crushed stone for her circular garden.

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At μ = 10.0932 level should the mean be set if it is required that only 1% of the bags weigh less than 9.5 kg.

Given Data:

σ = 0.04 kg

x = 9.5 kg

We want to determine μ such that: P(X ≤ 9.5)= 1% = 0.01

Thus, we know here probability of x is 0.1 which is  less than 9.5

so here Z is -2.326 by the standard table

Determine the z-score in the normal probability table in the appendix that has a probability closest to 0.01:

Then, we have here 1% to left when Z is - 2.326

Now,

The value corresponding to the z-score is then the mean increased by the product of the z-score and the standard deviation:

x = μ+ zσ

= μ− 2.33(0.04) = μ - 0.0932

Since , P(X ≤ 9.5) = 0.95% = 0.095, we know that x also has to be equal to 9.5:

   μ− 0.0932 = 9.5

Add 0.0932 to each side of the previous equation:

μ = 10+ 0.0932

= 10.0932

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The unknown values in the triangle are ;

a = 45.3

angle B = 7°

angle A = 28°

In a triangle, side “a” divided by the sine of angle A is equal to the side “b” divided by the sine of angle B is equal to the side “c” divided by the sine of angle C.

Therefore,

a/sinA = b/sinB = c/sinC

So, we use the Sine rule to find the values of unknown lengths or angles of the triangle.

b/sinB = c/sinC

7/sinB = 33/sin145

33sinB = 7 sin145

33 sinB = 4.02

sinB = 0.122

B = 7°

angle A = 180-(145+7)

A = 180- 152

A = 28°

a/sinA = c/sinC

a/sin28 = 33/sin145

asin145 = 33sin128

0.574a = 26

a = 26/0.574

a = 45.3

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