A candidate for mayor is calling 882 registered voters to remind them about the upcoming election if the candidate has 49 volunteers and each person calls the same numbers of voters how many voters will volunteer call

Answer:

D. \(10^{\circ}\)

Step-by-step explanation:

Let the measure of minor arc \(AE\) be \(\alpha\) and the measure of minor arc \(BD\) be \(\beta\).

Using the secant-secant theorem, \(\frac{\alpha-\beta}{2}=32 \implies \alpha-\beta=64^{\circ}\).

By the inscribed angle theorem, \(\alpha=84^{\circ}\).

Thus, \(\beta=20^{\circ}\).

By the inscribed angle theorem, \(x=10^{\circ}\).

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Answer:

The least common denominator would be 30.

Step-by-step explanation:

5- 5, 10, 15, 20, 25, 30, 35, 40

6- 6, 12, 18, 24, 30, 36 42, 48

Answer:

constant of proportionality = 10

Step-by-step explanation:

Direct proportion equation :

y = kx, where k is the constant of proportionality

Step-by-step explanation:

Since equivalent fractions do not always have the same numerator and denominator, one way to determine if two fractions are equivalent is to find a common denominator and rewrite each fraction with that denominator. Once the two fractions have the same denominator, you can check to see if the numerators are equal.

The two fractions with the same numerator and different denominators can not be equal.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A division number is a number that addresses the piece of the entire, where the entire can be any number. It is a numerator and a denominator.

The fraction is in the form of a numerator and denominator. The two fractions can be equal if and only if their numerator and denominator are equal.

The two divisions with similar numerators and various denominators can not be equivalent.

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Answer:

y = 17x

Step-by-step explanation:

By looking at the y-values of the table, we can see that they increase by 17 for every increase of 1 in the x-values.

This means are slope is 17.

We can prove this by plugging two points into the slope equation: (y₂ - y₁) / (x₂ - x₁)

(1, 17) & (3, 51)

(51 - 17) / (3 - 1)

Simplify the parentheses.

(34)/(2)

Divide.

17

Your slope is 17.

Plug this into your standard slope-intercept equation.

y = 17x + b

To find b, plug in a point to x and y. (1, 17)

17 = 17(1) + b

Multiply.

17 = 17 + b

Subtract.

b = 0

Your equation is: y = 17x + 0 or just y= 17x.

You can also tell by looking at the table. b is the y-intercept, or the value when x = 0. The table shows that when x = 0, y = 0. Therefore, b = 0.

Check your equation by plugging in the other point.

34 = 17(2)

34 = 34

Your equation is correct.

Hope this helps!

The given box plot represented by the data sets in option A and B.

From the given box plot, we have

Minimum value = 3

Maximum value = 18

First quartile (Q1) = 7

Third quartile (Q3) = 13

Median = 10

Option A:

3, 4, 8, 9, 9, 12, 12, 13, 13, 16, 18

Median = 12

First quartile (Q1) = 8

Third quartile (Q3) = 13

Option B:

3, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 7

Third quartile (Q3) = 13

Option C:

3, 4, 8, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 8

Third quartile (Q3) = 13

Option D:

2, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 7

Third quartile (Q3) = 13

Therefore, the correct options are B and D.

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Answer:

80%

Step-by-step explanation:

Because Shirly spelled 12 out 15 correctly, she got a 12/15, which is equal to 4/5 or 80%

Answer:

12km

Step-by-step explanation:

1cm = 1500m

__________

So

8cm = 8 x 1500

8cm = 12000 m

_________

To convert metres into km, you need to divide the length value by 1000

12000/1000

= 12km

The actual length of footpath will be 12 km.

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

A footpath is 8 cm on a map.

And, The scale is,

⇒ 1 cm = 1500 m.

Now,

Since, The scale is;

⇒ 1 cm = 1500 m.

So, The length of footpath = 8 × 1500 m

                                         = 12,000 m

Since, 1 m = 1/1000 km

Hence, 12,000 m = 12,000/1000 km

                           = 12 km

Thus, The actual length of footpath will be 12 km.

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Answer:

Step-by-step explanation:

a = 10/2 = 5

b = \(5\sqrt{3}\)

For the Special Triangles

Answer:

10 to the 3rd power

Step-by-step explanation:

6-3=3

SAS postulate states that if two sides and one angle of the two triangles are congruent then the corresponding triangles are congruent.

These two triangles are congruent by SAS postulate

Proof

Statements                                         Reasons

In  ΔNHJ ↔ ΔKHJ

From 1,2, and 3 ΔNHJ ≅ ΔKHJ            SAS≅SAS

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by using inductive reasoning, we get the next 2 terms as 7 / 12 and 4 / 7.

We are given a sequence:

3 / 4, 2 / 3, 5 / 8, 3 / 5

We need to find the next two terms by using the inductive reasoning.

Now, we can also write this sequence as:

3 / 4, 4 / 6, 5 / 8, 6 / 10

Now, we can see that, in each term, the numerator is increasing by 1 and the denominator is increasing by 2 units.

So, the 5th term will be:

Numerator = 6+ 1 = 7

Denominator = 10 + 2 = 12

5th term = 7 / 12

And the 6th term will be:

Numerator = 7 + 1 = 8

Denominator = 12 + 2 = 14

6th term = 8 / 14 = 4 / 7

Therefore, by using inductive reasoning, we get the next 2 terms as 7 / 12 and 4 / 7.

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Answer:

Mean: 1.5

Standard Deviation: 0.9

Step-by-step explanation:

2/3 of the pages have diagrams, and N is the number of pages Harlee reads to reach a page with a diagram. In order to find the mean, divide 1/(2/3) to get 1.5 as your mean, and then divide sqrt(1-(2/3))/2/3 to get .8660, which rounds to .9.

Based on the information provided, it can be inferred that the number Mrs. Gardner thought of is 52.

To find the number we must take into account all the clues they give us, for example:

It is not odd, so we know the number is even.

The sum of their numbers is 7.

It is a multiple of 13.

Is greater than 4 × 5 = 20

It is a multiple of 4.

It is less than 7 × 8 + 23 = 79.

Based on the above, the number Mrs. Gardner thought of is 52.

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Answer:

..............

Step-by-step explanation:

33689

Answer:

It will take 35.46 quarters for the account to grow to $3000.

Step-by-step explanation:

Since the annual rate is compounded quarterly, this can be calculated using the formula for calculating the future value as follows:

FV = PV * (1 + r)^n ............................ (1)

Where;

FV = future value or the amount the deposit expected to grow to = $3,000

PV = Present value or the amount place in the savings = $2,000

r = Quarterly rate = Annual rate / 4 = 4.6% / 4 = 0.046 / 4 = 0.0115

n = number of quarters it will take for the loan to grow to $3000 = ?

Substituting the values into equation (1) and solve for n, we have:

$3,000 = $2,000 * (1 + 0.0115)^n

$3,000 / $2,000 = (1.0115)^n

1.50 = (1.0115)^n

Loglinearise both sides, we have:

log(1.50) = n log(1.0115)

0.176091259055681 = n * 0.00496588710682352

n = 0.176091259055681 / 0.00496588710682352

n = 35.4601816891322

Rounding to the nearest hundredth, which also implies to rounding to 2 decimal places, we have:

n = 35.46

Since the the annual rate is compounded quarterly, it will therefore take 35.46 quarters for the account to grow to $3000.

Suppose that $2000 is placed in a savings account at an annual rate of 4.6%, compounded quarterly. Assuming that no withdrawals are made, it will take him 8.86 years for the account to grow to $3000

From the information given:

By using the compound interest formula:

\(\mathbf{A = P( 1+\dfrac{r}{n})^{nt}}\)

replacing the values from above, we have:

\(\mathbf{3000= 2000( 1+\dfrac{0.046}{4})^{4t}}\)

\(\mathbf{\dfrac{3000}{2000}= ( 1+\dfrac{0.046}{4})^{4t}}\)

\(\mathbf{\dfrac{3000}{2000}= ( 1+0.0115)^{4t}}\)

\(\mathbf{\dfrac{3000}{2000}= ( 1.0115)^{4t}}\)

\(\mathbf{log(\dfrac{3000}{2000})= 4t \times log ( 1.0115)}\)

\(\mathbf{0.17609= 4t \times0.004966}\)

\(\mathbf{t = \dfrac{0.17609}{4 \times 0.004966 }}\)

t = 8.86 years to the nearest hundredth.

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Answer:

1/210 i am pretty sure

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

42 gallons is about 0.158987 cubic meters. 1 micron is 1 micro-meter, or 10^-6 meters. The volume is the product of the area and thickness. For some area A, we have ...

  0.158987 m³ = (10^-6 m)A

  A = (10^6)(0.158987 m² = 158,987 m²

The area in square meters is 158,987.

__

A square km is (1000 m)² = 10^6 m². So, the area in square kilometers is about ...

  (158,987 m²)/(10^6 m²/km²) = 0.158987 km²

The area in square km is about 0.1590.

Answer:

If you want to know how many pencils Jin has then

Step-by-step explanation:

9-5=4 so 4 is your answer

Step-by-step explanation:

d = z - 9

d = 10 - 9  ----> substitute

d = 1

The binomial theorem states that: \((x + y)^n = \sum_{k=0}^n{n\choose k} x^{n-k}y^k\). So, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).

Now, let's use the Binomial Theorem to find the binomial expansion of (2x - 3y)⁵. We will have to find the coefficients for each term. So, let's get started. n = 5x = 2xy = -3[nCr = n! / (r! * (n-r)!)]

Term k = 0: \( {5 \choose 0} (2x)^5 (-3y)^0\) = 32x⁵

Term k = 1: \({5 \choose 1} (2x)^4 (-3y)^1\) = -240x⁴y

Term k = 2: \({5 \choose 2} (2x)^3 (-3y)^2\) = 720x³y²

Term k = 3: \({5 \choose 3} (2x)^2 (-3y)^3\) = -1080x²y³

Term k = 4: \({5 \choose 4} (2x)^1 (-3y)^4\) = 810xy⁴

Term k = 5: \({5 \choose 5} (2x)^0 (-3y)^5\) = -243y⁵

Now we can combine all of these terms to form the binomial expansion of (2x - 3y)⁵:\((2x - 3y)^5 = 32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\)

Therefore, the binomial expansion of (2x - 3y)⁵ is: \(32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5\).

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Answer:

Step-by-step explanation:

Statement                     Reason

PR ≅ TR                        Given

<PQR≅<TSR                 Given

<PRQ≅<TRS                Vertical Angles Theorem

PQR=TSR                      SAS  Theorem   (Side-Angle-Side)

Answer:

(2,-23)

Step-by-step explanation:

It was just luck I'm starting Geometry this year.

The midpoint of line segment UV is given by M ( -11/2 , 1 )

The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.

Measure the distance between the two end points, and divide by 2.

Let A ( x₁ , y₁ ) be the first point

Let B ( x₂ , y₂ ) be the second point

The midpoint between A and B is M ( a , b ) where

a = ( x₁ + x₂ )/2

b = ( y₁ + y₂ ) / 2

Given data ,

Let the first point be U ( -8 , 9 )

Let the second point be V ( -3 , -7 )

Now , midpoint between U and V is M ( a , b ) where

a = ( x₁ + x₂ )/2

b = ( y₁ + y₂ ) / 2

On simplifying , we get

a = ( -8 + -3 ) / 2

b = ( 9 - 7 ) / 2

On further simplification , we get

a = -11/2

b = 1

Hence , the midpoint is M ( -11/2 , 1 )

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A. 18

Here the matrix contains 48 elements and the factors of 48 are

48×1,1×48

24×2,2×24

12×4,4×12

6×8,8×6

3×16,16×3

So, 18 is not the factor of 48.

16, 8, and 24 can go into 48 but not 18.

Therefore option A is correct.

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The coordinate of point B is (√3, 1 ).

The coordinate of point C is (3√3/2,  3/2).

The coordinate of points of B and C is calculated by applying the following formula as follows;

The given coordinate of point A;

A = ( √3/2, 1/2)

Fromm the given coordinate of point A, we can see that;

The coordinate of point B is calculated as;

point B; x-axis = (√3/2 x 2) = √3

point B; y axis = 1

B = (√3, 1 )

The coordinate of point C is calculated as;

point C; x-axis = (√3/2 x 3) = 3√3/2

point C; y axis = 3/2

C = (3√3/2,  3/2)

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Answer:

30 degrees

Step-by-step explanation:

a linear pair adds up to 180 degrees. therefore, you can compose the equation 2x+10x=180

12x=180

x=15

the smaller angle is 2x, so 2 times 15 is 30

9514 1404 393

Answer:

  f(-1) = -1

Step-by-step explanation:

x = -1 falls in the middle segment, where -2 < x < 2. So, the applicable function definition is ...

  f(x) = -2x -3

  f(-1) = -2(-1) -3 = 2 -3

  f(-1) = -1

The equation have the same solution as 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p

Given: 2.3p – 10.1 = 6.5p – 4 – 0.01p.

Using this given property, let's write the equation

We can subtract like terms (6.5p– 0.01p = 6.49p) to get:

2.3p – 10.1 = 6.5p – 0.01p – 4

2.3p – 10.1 = 6.49p – 4

Also, we can multiply both sides of the algebraic equation by 100:

(2.3p – 10.1) x 100 = (6.5p – 4 – 0.01p) x 100

230p – 1010 = 650p – 400 – p

Therefore, the equations have the same solution as 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p. The 2nd and 3rd options are the answers

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