Tell whether the ratios form a proportion.
9:3 and 45:15
.yes

.no
Explain. How do you know?

Answer:

Step-by-step explanation:

P={1,2,3,4,....13}

The number of elements in the set is 13.

Answer:

Quadrant V

Step-by-step explanation:

A co-ordinate graph only has 4 quadrants!

Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

Answer: y+1 = 5(x-1)

Step-by-step explanation:

The probability of three oranges appearing is 0.29%

The probability of at least two oranges appearing is 2.03%

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has included probability to forecast the likelihood of certain events. The degree to which something is likely to happen is basically what probability means.

Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes

a. Three oranges will appear?

Number of favorable outcomes = 1

Total Number of outcomes = 7

Probability of Three oranges to appear =  (1/7)(1/7)(1/7) = 1/343 = .002915 = .29%

b. At least two oranges will appear

(1/7)(1/7)(6/7) = 6/343 = .0174

(1/7)(1/7)(1/7) = 1/343 = .002915

Probability of at least two oranges to appear = .0174 + .002915 = 0.0203 = 2.03%

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Out of the given statements, statement a. If 4 is a prime number, then 6 is a prime number is the false one. A prime number is a positive integer that has exactly two distinct natural number divisors: 1 and itself.

For example, the number 2 is a prime number because it can only be divided evenly by 1 and 2. 4 is not a prime number because it can be divided evenly by 1, 2, and 4. 6 can be divided evenly by 1, 2, 3, and 6, so it is not a prime number. Therefore, statement a is false because if 4 is a prime number, 6 is not a prime number.

When determining whether a number is a prime number, it is important to remember that 1 is not a prime number. This is because 1 only has one divisor - itself. Any other number that can be divided evenly by more than two distinct natural numbers is not a prime number.

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Answer: 16 or 4

Step-by-step explanation:

-6-10=-16

10-6=4

Question : Suppose A and B are points on the number line. If AB=10 and B lies at -6, where could A be located?

Answer: 16

Answer:

\(0, \dfrac{\pi}{6}, \dfrac{5\pi}{6}, \pi\)

Step-by-step explanation:

Given the equation:

\(sin(x)-2sin(x) tan(x)=0\)

To find:

The solutions of given equation in the range [0, 2\(\pi\)) i.e. 0 can be in the answer but \(2\pi\) can not be there in the answer.

Solution:

Taking \(tan(x)\) common, we get:

\(tan(x) (1-2sin(x))=0\)

The solutions can be given as:

\(tan(x) = 0\) OR \(1-2sin(x) = 0\)

Let us solve both the equations one by one:

First equation:

\(tan(x) = 0\\ \Rightarrow x=0, \pi\)

Second equation:

\(1-2sin(x) = 0\\\Rightarrow 2sinx=1\\\Rightarrow sinx=\dfrac{1}{2}\\\Rightarrow x = \dfrac{\pi}{6}, \dfrac{5\pi}{6}\)

Therefore, the answers as a comma separated list are:

\(0, \dfrac{\pi}{6}, \dfrac{5\pi}{6}, \pi\)

Answer:

72°

Step-by-step explanation:

If ABCD is a rhombus, then m∠ADB = m∠DBC = 36°

ΔADB is an isosles triangle, so m∠ABD = m∠ADB = 36°

Then m∠ABC = m∠ABD + m∠DBC = 36 + 36 = 72°

The original price of purchasing is $825 plus 7% sales tax, then the interest will be $9.20. Hence, option D is correct.

The Latin term "per centum," which signifies "by the hundred," is where the word "percentage" originally came from. With 100 as the denominator, percentages are fractions. To put it another way, it's the relationship here between a component and a whole, in which the value of the whole is always assumed to be 100.

As per the given data in the question,

The original purchase price = $825

The sales tax = 7% of $825 = 825 × 7/100 = $57.75

Total credit = $825 + $57.75 = $882.75

The monthly interest rate = 12.5%/12 = 1.0417%

Interest = $882.75 × 1.0417/100

Interest = $9.20

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Answer:

125 boxes

Step-by-step explanation:

5*5*5

9514 1404 393

Explanation:

1. Consider the attachment. Angle CDF is a circumscribed angle. It is formed at the intersection of two tangents to the circle. Angles BCE, CBE, and BEC are inscribed angles. Their vertices are on the circle, and they are formed by two chords.

If a chord degenerates to zero length, the ray it represents with respect to an inscribed angle becomes a tangent. That is, angles BCD and ECD can also be considered to be inscribed angles. Similarly, straight angle DFG at tangent point F can be considered to be a degenerate case of both an inscribed angle and a circumscribed angle. (Some authors may not include degenerate cases in their definitions. YMMV)

__

2. The general form of the equation of a circle is ...

  Ax² +Ay² +Dx +Ey +F = 0

Any equation of a circle can be put in this form. If we divide by A, this can be written as ...

  x² +y² -2hx -2ky +c = 0 . . . . where h = -D/(2A), k = -E/(2A), c = F/A

and the equation can be further transformed to the standard form ...

  (x -h)² +(y -k)² = r² . . . . . where r² = h² +k² -c

The last equation is the result of "completing the square" by adding h² and k² to both sides of the second equation shown. The values of h and k are as shown above, given the coefficients of the general form equation.

__

3. Again refer to the attached diagram.

a) a radius is a line segment with the circle center at one end and a point on the circle at the other end. AB and AC are radii.

b) A diameter is a line segment whose ends are on the circle and whose midpoint is the center of the circle. BC is a diameter.

c) A chord is a line segment whose end points lie on the circle. BC, BE, and CE are chords.

d) A secant is a line containing two points of the circle. Lines CG and CE are secants.

e) A tangent is a degenerate case of a secant in which the two points of intersection merge to one point of intersection. It is a line that touches the circle at exactly one point, the point of tangency. DG and DC are tangents.

f) The point of tangency is the single point where a tangent intersects a circle. A radius to the point of tangency (such as AC) is always perpendicular to the tangent line (DC).

Yes, there is an analogous ratio between 2:1 and 20:10.

We just cancel by a common factor. So 4:2=2:1 . The simplest representation of the ratio 4 to 2 is the ratio 2 to 1. Also, since each pair of numbers has the same relationship to one another, the ratios are equivalent.

By dividing the terms of each ratio by their greatest common factor, we may simplify both ratios to explain why.

As the greatest common factor for the ratio 2:1 is 1, additional simplification is not necessary.

The greatest common factor for the ratio 20:10 is 10. When we multiply both terms by 10, we get:

20 ÷ 10 : 10 ÷ 10

= 2 : 1

As a result, both ratios have the same reduced form, 2:1, making them equal.

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Answer:

The answer is 20-6x

The probability of winning the jackpot on one try is 1/30 or 0.0333 (rounded to four decimal places).

To calculate the probability of winning the jackpot on one try, we need to determine the number of favorable outcomes (winning combinations) and the total number of possible outcomes.

The number of favorable outcomes can be calculated by selecting 4 different numbers from 1 to 45 (without considering the order) and one number from 1 to 30. This can be represented as:

C(45, 4) * C(30, 1)

where C(n, r) represents the number of combinations of n items taken r at a time.

The total number of possible outcomes is the total number of ways to select 4 numbers from 1 to 45 (without considering order) multiplied by the number of ways to select one number from 1 to 30. This can be represented as:

C(45, 4) * 30

To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes:

Probability = (C(45, 4) * C(30, 1)) / (C(45, 4) * 30)

Simplifying the expression:

Probability = C(30, 1) / 30

Probability = 1 / 30

Therefore, the probability of winning the jackpot on one try is 1/30 or 0.0333 (rounded to four decimal places).

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Answer:

y = - \(\frac{1}{32}\) x²

Step-by-step explanation:

Any point (x, y) on the parabola is equidistant from the focus and the directrix.

Using the distance formula

\(\sqrt{(x-0)^2+(y+8)^2}\) = | y - 8 |

Square both sides

x² + (y + 8)² = (y - 8)² ← expand parenthesis on both sides

x² + y² + 16y + 64 = y² - 16y + 64 ( subtract y² - 16y + 64 from both sides )

x² + 32y = 0 ( subtract x² from both sides )

32y = - x² ( divide both sides by 32 )

y = - \(\frac{1}{32}\)x²

The standard form of the equation of the parabola is y = -x²/32

The parabola is a plane curve which is mirror symmetrical and is approximately U-shaped. It fits several superficial different mathematical descriptions.

here, we have,

The general form of a parabola is

(x-h)^2 = 4p(y-k)

Where, (h,k) is vertex, (h,k+p) is focus and y=k-p is directrix.

Any point (x, y) on the parabola is equidistant from the focus and the directrix.

Using the distance formula

√(x-0)² + (y-8)² = | y - 8 |

Square both sides

x² + (y + 8)² = (y - 8)² ← expand parenthesis on both sides

x² + y² + 16y + 64 = y² - 16y + 64 ( subtract y² - 16y + 64 from both sides )

x² + 32y = 0 ( subtract x² from both sides )

32y = - x² ( divide both sides by 32 )

y = - x²/32

Hence, The standard form of the equation of the parabola is y = -x²/32

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Answer:

garoph 1 and 2 hope this helps

Step-by-step explanation:

Answer:

1 and 2

Step-by-step explanation:

if correct please give brainlist

Answer:

15x+35

Step-by-step explanation:

5(3x+7)=5(3x)+5(7)

          =15x+35

Answer:

15x + 35

Step-by-step explanation:

5(3x + 7)

5(3x) + 5(7), by the distributive propoerty of equality

15x + 7

The length FE in the circle is 6 units

The arc AE has a measure of 64 degrees

From the question, we have the following parameters that can be used in our computation:

The circle

Given that the lengths from the center to either chords are equal

This means that

FE = 6 units

For the other circle, we have

BC = 58 degrees

AB = ED

The arc AE is calculated as

AE = 180 - BC - ED

Where

AB = ED = BC = 58 degrees

So, we have

AE = 180 - 58 - 58

Evaluate

AE = 64

Hence, the arc AE is 64 degrees

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Answer:

5.5

Step-by-step explanation:

A: There are 33,216 possible passwords. The probability of having a 5 character password ending in 0 is 2.7%. The probability of having an all digit password is 0.16%.

The total number of possible passwords can be calculated by multiplying the number of options for each character. There are 26 uppercase letters and 10 digits, so for a 4 character password there are 26 x 26 x 10 x 10 = 67,600 possible combinations. For a 5 character password there are 26 x 26 x 10 x 10 x 10 = 336,960 combinations. Therefore, there are 33,216 possible passwords if the password must be 4-5 characters long and contain at least one digit. The probability of having a password which is 5 characters long and ends in a zero is 2.7%. This is calculated by dividing the number of possible passwords that end in 0 (1,680) by the total number of possible passwords (33,216). The probability of having an all digit password is 0.16%. This is calculated by dividing the number of possible all digit passwords (5,120) by the total number of possible passwords (33,216).

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The length of the shorter pipe will be 1.065 meters.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a plumber had two pipes. The ratio of the length of the longer pipe to the shorter pipe was 9:2.

When he cut 1.65m from the longer pipe, the remaining length was 3 times that of the shorter pipe.

L / S = 9 / 2

L - 1.65 = 3S

4.5S - 1.65 = 3S

1.5S = 1.65

S = 1.065 meters

Hence, the measure of the short pipe will be 1.065 meters.

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Answer:

1. 30 output

2. 15

3. 348

4. 6

5. 1st graph

Step-by-step explanation:

-7(-5) -5=

35 - 5 = 30

2(2)²+6(2)-5=

2(4)+12-5=

8+12-5=

15

y/3 + 4=120

y+12=360

y=348

3x-15>3=

3x>18=

x>6=

2x-(6x+7)>-19=

2x-6x-7>-19=

-4x-7>-19=

-4x>-12=

x>3

The variable have positive integer exponent. so f(x) = -5x² + 3x +3 is a polynomial function.

A polynomial function is one that uses only non-negative integer powers or positive integer exponents of something like a variable in an equation such as the quadratic equation, cubic equation, and so on. For illustration, 2x+5 is a polynomial with an exponent of one.

A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, as well as division (No division operation by a variable).

f(x) = -5x² + 3x +3

Make the leading coefficient positive:

= 5x² - 3x -3

identify the coefficient:

a = 5, b = -3, c = -3

substituting into the:

\($x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a}$\)

\($x=\frac{-(-3)+\sqrt{(-3)^2-4 \times 5 \times(-3)}}{2 \times 5}$\) or \($x=\frac{-(-3)-\sqrt{(-3)^2-4 \times 5 \times(-3)}}{2 \times 5}$\)

\($x=\frac{3+\sqrt{3^2+4 \times 5 \times 3}}{2 \times 5}$\) or

\($x=\frac{3+\sqrt{9+4 \times 5 \times 3}}{2 \times 5}$\)

\($x=\frac{3+\sqrt{69}}{10}$\)

x = ± \(\frac{3+\sqrt{69}}{10}$\)

As we can see that the general form of a power function is f(x) = axⁿ , where a is a non zero co-efficient and 'n' is a real number.

so the given function is not a power function.

So,

the variable have positive integer exponent. so f(x) = -5x² + 3x +3 is a polynomial function.

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Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

∠LMN is an obtuse angle.

==========================================

Explanation

Let's go through the answer choices to see which are true, and which are false.

Answer:

48

Step-by-step explanation:

4*2*3 for the 4 flaps

2*4*3 for the 2 tops

(4*2*3) + (2*4*3) = 48

Answer:

52 square inches

Step-by-step explanation:

to find the surface area of a rectangular prism the formula is

S.A.=2(l*w+l*h+w*h)

2(4*3+4*2+3*2)

=52 square inches

here l is length w is width and h is height

Answer:

\(\%H = 8\%\)

Step-by-step explanation:

Given

See attachment for table

Required

The percentage of historical

From the table, we have:

\(Historical = 2\)

and

\(Total = 6+3+7+2+7\)

\(Total = 25\)

So, the percentage of historical is:

\(\%H = \frac{Historical}{Total} * 100\%\)

This gives:

\(\%H = \frac{2}{25} * 100\%\)

\(\%H = \frac{200\%}{25}\)

\(\%H = 8\%\)

Answer:

8%

Step-by-step explanation: