The shaded quilt piece has 4 equal sides. What type of quadrilateral is it?

Answer:

300 meters

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

A square root is any number that is multiplies by itself to get a number.

11*11=121

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The hypotheses for a two-tailed test, would be A. H0: μ = 1.9 mg ( null hypothesis)

H1: μ ≠ 1.9 mg (alternative hypothesis)

The null hypothesis (H0): The population mean of mercury content in compact fluorescent bulbs is equal to 1.9 mg.

Alternative hypothesis (Ha): The population mean of mercury content in compact fluorescent bulbs is not equal to 1.9 mg.

When put into symbols, this becomes H0: μ=1.9 mg vs. H1: μ ≠ 1.9 mg.

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Answer: 40 pupils

Step-by-step explanation:

 35           14

-------   =   --------

100             ?

find the denominator.

multiply 14 and 100:

14 x 100 = 1400

divide 1400 by 35

1400/35 = 40

Therefore there are 40 students

Answer:

37% to 69%

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

Step 1: Define

f(x) = -x - 5

f(x) = -3

Step 2: Substitute and Evaluate

-3 = -x - 5

2 = -x

x = -2

Answer:

A. intersecting lines

Step-by-step explanation:

When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection.

The number of horse is 1, goat is 2 and sheep is 3 a man has.

The problem we are dealing with is related to the linear equation which is referred to as the algebraic condition where each term has an exponent of 1 and when this condition is graphed, it continuously comes about in a straight line.

Now w consider x to be the number of sheep, y to be the  number of  goats, and z to be the number of horses the man owns.

the actual equation for the total number of animals he owns  is :

x+ y+ z

according to the first condition:

that all sheep bar three, means

y+ z=3

similarly, for the other condition, it will be

x+ z=4   and x+ y=5

Now we adding the three  equations:

y + z +x +z +x +y=5+4 +3

2(x+y+z)=12

x+y+z=6........equation(1)

As x + y = 5

Put this in equation in (1), we get

x+y+z = 6

5 + z = 6

z = 1

x + z = 4

x + y + z = 6

y + 4 = 6

y = 2

Now we know

x + y + z = 6

x + 1 + 1 = 6

x = 4

So simplifying the other equation  we get, that the number of horse is 1, goat is 2, and sheep is 4.

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The solution is,  the original number in the work force is 190.76.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

A 35% decrease resulted in a new work force number of 124.

let, the original number in the work force is  x

then,

x - x*35% = 124

or, x - 0.35 x = 124

or, 0.65 x = 124

or, x = 190.76

Hence, The solution is,  the original number in the work force is 190.76.

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Answer:

44

Step-by-step explanation:

remember stem equal tens place and leafs equal the ones place

so we can conclude that the largest number would be 44

Answer:

44

Step-by-step explanation:

To read a stem leaf plot, the stem portion will represent the tens place and the leaf portion represents the ones place. Therefore, the largest number represented by this plot would be 44.

The two similar triangles in this problem are given by:

C. QRS and TUV

Similar triangles share these two features:

Hence, the similar triangles are QRS and TUV, as the side lengths proportions are given as follows:

3/6 = 2.4/4.8 = 1.8/3.6.

Hence option C is correct.

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Assuming that there are no other transactions or fees on the credit card, here's how to calculate the unpaid balance, new interest, and purchasing power on the credit card after the minimum monthly payment is made:

1.) Unpaid Balance: The unpaid balance is the amount of the credit card balance that remains after making the minimum monthly payment. In this case, the minimum monthly payment is $125, so the unpaid balance would be:

$5000 - $125 = $4875

2.) Interest Charge: The interest charge for unpaid balances is 18% per year. To calculate the monthly interest rate, divide the annual rate by 12:

18% / 12 = 1.5%

3.) To calculate the interest charge for the month, multiply the unpaid balance by the monthly interest rate:

$4875 x 1.5% = $73.13

So the new interest charge for the month is $73.13.

4.) Purchasing Power: Purchasing power refers to the amount of credit that is available on the credit card after making the minimum monthly payment and accounting for any interest charges. To calculate the purchasing power, subtract the unpaid balance and interest charge from the credit limit:

$5000 - $4875 - $73.13 = $51.87

So the purchasing power on the credit card after the minimum monthly payment is made is $51.87.

Answer:

None

Step-by-step explanation:

They are the same number

They are equal and neither is greater than the other.

In the decimal number system, trailing zeros after the decimal point do not affect the value of the number. They are considered insignificant and are not used to determine the magnitude or comparison of the numbers.

When comparing 3.75 and 3.750, it's important to understand that they represent the same value. The digits after the decimal point in both numbers are identical. The presence of the trailing zeros in 3.750 does not change the actual value of the number; it's just a different representation.

To illustrate this, let's consider the number line:

3.749  <  3.7499  <  3.74999  <  3.75  =  3.750  <  3.7501  <  3.75001  <  3.751

As you can see, both 3.75 and 3.750 lie at the same point on the number line, indicating that they are equal in value. The trailing zeros in 3.750 are insignificant and do not affect the magnitude or comparison of the numbers.

Therefore, in terms of their numerical value, 3.75 and 3.750 are equivalent and not different from each other.

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Complete question is:

Which is greater 3.75 or 3.750.

Answer:

\(\frac{4}{5}\)

Step-by-step explanation:

Knowing that \({-\frac{3}{5}}^{2} + {\frac{4}{5}}^{2} = 1, {-\frac{3}{5}}^{2} + {-\frac{4}{5}}^{2} = 1\),

so x can be positive or negative 4/5,

and we know that x coordinate of any point in quadrant IV is positive,

so x = 4/5.

Answer:

Square, cube

Step-by-step explanation:

Square and cube have equal length sides

Answer:

1/8

Step-by-step explanation:

since it is divided to 8 equal parts then the first tick is 1/8

Answer:

\(24\) prairie dogs per square kilometer

Step-by-step explanation:

To find the population density, simply divide the population by the area they live in. In this case, the population is \(384\) prairie dogs and they live in an area of \(16\) km². Therefore, the population density is \(\frac{384}{16} = \bold2\bold4\) prairie dogs per square kilometer. Hope this helps!

Answer:

sin(100°) = 0.985

sin(-100°) = -0.985

Step-by-step explanation:

In a unit circle, each point (x, y) on the circumference corresponds to the coordinates (cos θ, sin θ), where θ represents the angle formed between the positive x-axis and the line segment connecting the origin to the point (x, y).

Therefore, sin(100°) equals the y-coordinate of the point (-0.174, 0.985), so:

\(\boxed{\sin(100^{\circ}) = 0.985}\)

Similarly, sin(-100°) equals the y-coordinate of the point (-0.174, -0.985), so:

\(\boxed{\sin(-100^{\circ}) = -0.985}\)

In the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

The value of the sine of the angles is calculated by applying the following formula as follows;

The value of sin (100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, 0.985) as given on the coordinates of the unit circle.

sin (100) = 0.985

The value of sin (-100) is calculated as follows;

sin(100°) corresponds to the y-coordinate of the point (-0.174, -0.985), as given on the coordinates of the circle.

sin (-100) = -0.985

Thus, in the unit circle the value of sin (100) = 0.985 and the value of sin (-100) = -0.985, in three decimal places.

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Answer:

29/3

Step-by-step explanation:

Multiply and simplify

58/6=29/3

Answer:

29x/3

Step-by-step explanation:

i used math website trust me its right

Answer:

\( d = \sqrt{ {x}^{2} + {y}^{2} } \)

Step-by-step explanation:

Distance between origin (0, 0) and point (x, y) is given as:

\(d = \sqrt{ {(x - 0)}^{2} + {(y - 0)}^{2} } \\ \\ \red{ \bold{ d = \sqrt{ {x}^{2} + {y}^{2} } }}\)

The revenue function is R = 25q, the cost function is C = 2000 + 20q, and the profit function is P = 5q - 2000.

The revenue function in terms of quantity can be calculated as follows:

Revenue (R) = q x p

Where: "q" is the quantity of units sold

"p" is the price per unit

At the break even point:

10,000 = 400p

p = 25 birr per unit

At the break even point, the total cost is equal to the total revenue:

Total cost = Total revenue = 10,000 birr

Fixed cost = 2000 birr

Variable cost (VC) = Total cost - Fixed cost

VC = 10,000 - 2000 = 8000 birr

The cost function in terms of quantity can be expressed as:

Cost (C) = FC + VC x q

C = 2000 + 20q

The profit function can be calculated as the difference between revenue and cost:

Profit (P) = R - C

P = 25q - (2000 + 20q)

P = 5q - 2000

Therefore, the revenue function is R = 25q,

the cost function is C = 2000 + 20q, and

the profit function is P = 5q - 2000.

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\(\lim \limits_{x \to 0^{+}} \left( \csc x + \dfrac 1x \right)\\=\lim \limits_{x \to 0^{+}} \csc x + \lim \limits_{x \to 0^{+}} \dfrac 1x\\\\=\infty\)

Given:

Length of the scale = 15.6 in.

Width of the scale = 7.2 in.

Scale of drawing = 1 in. : 5ft.

To find:

The ratio of area of the actual court to the area of the drawing (as a unit rate).

And to check whether it is the same as the ratio of length of the actual court to the length of the drawing.

Step-by-step explanation:

We have,

1 in. = 5ft.

Now, using this scale we get

15.6 in. = (15.6 × 5) ft =78 ft.

7.2 in. = (7.2 × 5) ft = 36 ft.

So, the actual length and width of tennis court are 78 ft and 36 ft respectively.

Area of actual tennis court is

\(Area=length\times width\)

\(Area=78\times 36\)

\(Area=2808\text{ ft}^2\)

The area of drawing is

\(Area=15.6\times 7.2\)

\(Area=112.32\text{ in.}^2\)

Now, ratio of area of the actual court to the area of the drawing (as a unit rate) is

\(\dfrac{2808}{112.32}=\dfrac{25}{1}=25:1\)

Ratio of area is 25:1 and ratio of length is 5:1 both area not same.

Therefore, the ratio of area of the actual court to the area of the drawing (as a unit rate) is 25:1.

The total number of coins that were in Kay's bank are 137 coins.

In order to determine the number of dimes and nickels, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Since she has 11 less dimes than nickels, an equation which models this situation is given by;

n = d + 11     ....equation 1.

Note: 1 nickel is equal to 0.05 dollar and 1 dime is equal to 0.1 dollar.

Additionally, the coins are worth 10 dollars;

0.1d + 0.05n = 10 ....equation 2.

By solving both equations simultaneously, we have:

0.1d + 0.05(d + 11) = 10

0.1d + 0.05d + 0.55 = 10

0.15d = 9.45

d = 63 dimes.

For nickels, we have:

n = d + 11

n = 63 + 11

n = 74

Now, we can determine the total number of coins;

Total number of coins = n + d

Total number of coins = 74 + 63

Total number of coins = 137 coins.

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Answer:

Decagon

Step-by-step explanation:

Since the interior angle is 144 degree, each exterior angle is 180 - 144 = 36 degrees.

For any convex polygon (in particularly, for any regular polygon) the sum of exterior angles is 360 degrees.

Hence, the number of sides = the number of vertices = 360/36 = 10.

Answer. Your polygon is decagon with 10 sides (vertices).

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The rational numbers are given as follows:

To order the rational numbers, we must convert the fractions to decimal, dividing the numerator of the fraction by the denominator.

The conversion of each number is given as follows:

Hence they are ordered as follows:

7/15, 6/10, 5/3, 25/5.

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Answer:

(f- g)(x) =fx−gx

Step-by-step explanation:

Given:

The formula for gravitational force between two objects

Required:

Solve for M.

Explanation:

The calculation is as:

Answer:

Fourth option is correct.

Answer:

130°

Step-by-step explanation:

∠AOB + ∠BOC + ∠COD = 180

Note ∠BOC = 90°

so 3x - 28 + 90 + 66 - x = 180

2x + 128 = 180

2x = 180 - 128 = 52

x = 52/2 = 26

Note ∠EOD = ∠BOA = 3x - 28 = 3*26 - 28 = 50

∠AOE + ∠EOD = 180°

so

∠AOE + 50 = 180

∠AOE = 180 - 50 = 130°