65 people were asked on the activities they engage in during their free time. The results showed that 23 visit national parks, 26 engage in cycling while 22 engage in swimming. Furthermore 9 engage in swimming and visit national parks, 9 engage in swimming only while 11 visit national parks only. How many engage in a) Swimming and cycling b) Cycling only c) Neither swimming nor visiting national parks nor cycling

Answer:

1.) The 1ˢᵗ three term is (-32), (-7) and 18

2.) The 1ˢᵗ three term is 127, 106 and 85

Step-by-step explanation:

Here,

First Term = a₁ = - 32

Common Difference = (d) = 25

Now, For 1ˢᵗ three term,

n = 1

a₁ = - 32

n = 2

aₙ = a + (n - 1)d

a₂ = (-32) + (2 - 1) × 25

a₂ = (-32) + 1 × 25

a₂ = (-32) + 25

a₂ = -7

n = 3

aₙ = a + (n - 1)d

a₃ = (-32) + (3 - 1) × 25

a₃ = (-32) + 2 × 25

a₃ = (-32) + 50

a₃ = 18

Thus, The 1ˢᵗ three term is (-32), (-7) and 18

Here,

First Term = a₁ = 127

Common Difference = (d) = -21

Now, For 1ˢᵗ three term,

n = 1

a₁ = 127

n = 2

aₙ = a + (n - 1)d

a₂ = 127 + (2 - 1) × (-21)

a₂ = 127 + 1 × (-21)

a₂ = 127 - 21

a₂ = 106

n = 3

aₙ = a + (n - 1)d

a₃ = 127 + (3 - 1) × (-21)

a₃ = 127 + 2 × (-21)

a₃ = 127 - 42

a₃ = 85

Thus, The 1ˢᵗ three term is 127, 106 and 85

-TheUnknownScientist

Answer:

B

Step-by-step explanation:

Answer:

Box - and - whisker and scatter plots

Step-by-step explanation:

A scatter plot or scatter gram chart can highlight the distribution patterns or demonstrate and compare the two data sets.

Dots are used to indicate values for two separate numeric variables in a scatter plot . The values for each data point are shown by the position of each dot on the horizontal and vertical axes.

Scatter plot shows the relationships between variables are visualized using scatter plots.

From the given data, it is observed that the given data is observed in the scatter plot.

The given data can highlight the distribution patterns or demonstrate and compare the two data sets.

Hence, a scatter plot or scatter gram chart can highlight the distribution patterns or demonstrate and compare the two data sets.

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The right angle with in 3-4-5 triangle is naturally 90 degrees. Always opposite the fourth side, at 53.13 degrees, are the other two angles: 36.87 degrees (just opposite the 3rd side).

Specialized triangles, such as 3-4-5 triangles, can be solved using the Pythagorean theorem.

Thus, this 3-4-5 right triangle is one of the most well-known Pythagorean triples. The hypotenuse, its longest side opposite its right angle, is measured at 5, while the shorter sides measure at 3 and 4.

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Answer: False i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

a.Scale factor = distance on the plot / actual distance

b.3 feet = 12 inchs.

so scale factor = 5/12

Answer: 28

Step-by-step explanation:

65% of 80 is 52

80 - 52 = 28

28 people

jeez, 52 people quit? That’s a lot!

sorry if it’s wrong. Have a great day!

Answer:

2.5

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

Answer:

1520.53

Step-by-step explanation:

Formula for figuring out volume is

Pi*r^2*height=volume

3.14*5.5^2*16

1520.53

Hope this helps :)

Answer:

Enlargment and 5/4

Step-by-step explanation:

Answer:

= 6√30 or Decimal: 32.863353

Answer:

[tex]i \: think \: no \:{{b}}[/tex]

B IS YIHR ANSWER

I HOPE IT HELPS

HAVE A NICE DAY

#Captainpower

Answer:

probably 510, not sure but you can try!

Step-by-step explanation:

Answer:

221 bagels.

Step-by-step explanation:

170 bagels are made in 10 hours.

So, Number of bagels baked in 1 hour = [tex]\frac{170}{10}[/tex]

= 17 bagels an hour

Number of bagels in 13 hours = Number of bagels made in an hour x 13

                                                     = 17 x 13

221 bagels will be made in 13 hours.

The value of polynomial p(x) when x=0 is 35.

What is a polynomial?

An expression made up of indeterminates and coefficients and utilising solely the operations of addition, subtraction, multiplication, and positive-integer powers of variables is referred to as a polynomial.

The complete question is as follows:

Suppose p(x) is a polynomial of smallest possible degree such that: bullet p(x) has rational coefficients bullet p(-3) = p(\sqrt 7) = p(1-\sqrt 6) = 0 bullet p(-1) = 8 determine the value of p(0).

Given,

p(x) is a polynomial of smallest degree where

    p(-3) = p(√7) = p( 1-√6) = 0

     p(-1) = 8

 So the factors of p are (x+3),(x-√7) and (x - 1+√6)

Given p has rational coeffecients. So we should remove √7 and √6. This can be done by multiplying with conjugates.

(x-√7)*(x+√7) = x²-7

(x-1+√6) * (x-1-√6) = (x-1)² - √6² = x²-2x+1-6 = x²-2x-5  

Now the polynomial can be written as

p(x) = c (x+3)(x²-7) (x²-2x-5 )

Here c is a constant and can be determined using p(-1) = 8

p(-1) = c ( -1+3)(-1² - 7 )(-1²-2*(-1) -5)

8 = c(2)(-6)(-2)

c = 1/3

Now the polynomial p(x) = 1/3(x+3)(x²-7) (x²-2x-5 )

Therefore p(0) = 1/3 (3) (-7)(-5) = 35

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Answer: 15 Combinations

Step-by-step explanation: 5x3=15

The equations are;

a) y = -7/2x - 13

b) -2/7x - 46/7

We know that the equation of the line that we have here can be written in the general form as the equation that is given as; y = mx + c

We have that

m = slope of the line

c = intercept of the line

As such, we have;

-7x-2y=6 or y = 6 + 7x/-2

or

y = -3 - 7x/2

For the parallel line m = - 7/2

y - (-6) = -7/2(x - (-2))

y + 6 = -7/2x - 7

y = -7/2x - 13

For the perpendicular line m = - 2/7

y - (-6) = -2/7(x - (-2))

y + 6 = -2/7x - 4/7

y = -2/7x - 46/7

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Answer:

13.26cm^2

Step-by-step explanation:

The best estimate for the circumference of a circle with 3 units radius is equal to 18 units. The correct option is A.

Given the radius of the circle is equal to 3 units.

The formula for the circumference of the circle is equal to

[tex]C=2*\pi *r[/tex].

By substituting the value of the radius and pi we will get:

[tex]C=2*3.14*3\\C=18.86[/tex].

Therefore the best estimate will be 18 units.

Complete question:

Which is the best estimate of the circumference of this circle?

radius = 3 units.

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Answer:

-12.5

Step-by-step explanation:

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

Answer:

8.2 × 10⁻³

Step-by-step explanation:

1.64 × 10⁰      1.64 × 1         1.64

-------------- = -------------- = ---------- = 0.0082

2.0 × 10²        2 × 100        200

Scientific notation: 8.2 × 10⁻³

I hope this helps!

Answer:

Plot A does

Step-by-step explanation:

Answer:

y = x - 2

Step-by-step explanation:

Here m is the slope and b is the y-intercept.

Choose any two points on the line.            

 (2,0)  ; (0,-2)

Now, find the slope.

        [tex]\sf \boxed{Slope = \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

                   [tex]= \dfrac{-2 - 0}{0 - 2}\\\\=\dfrac{-2}{-2}\\\\= +1[/tex]

m = 1.

Now, y = 1x +  b

The (2 , 0) passes through the line. Substitute x = 2 and y = 0 in the above equation and find the value of 'b'.

       0 = 1*2 + b

       0 =  2 + b

        -2 = b

Equation of line:

              y = x - 2

Answer:

[tex]{\boxed{\boxed{\tt { TYSM!!}}}} \ [/tex]

Answer:

Step-by-step explanation: hi

Answer:

0x = -7

Step-by-step explanation:

-5x+5x = 4-9-2

0x = -7

Answer:

WHEN THE SUM of two numbers multiplies their difference --

(a + b)(a − b)

-- then the product is the difference of their squares:

(a + b)(a − b) = a2 − b2

For, the like terms will cancel.

Symmetrically, the difference of two squares can be factored:

x2 − 25 = (x + 5)(x − 5)

x2 is the square of x. 25 is the square of 5.

The sum of two squares -- a2 + b2 -- cannot be factored. See Section 2.

Example 1. Multiply (x3 + 2)(x3 − 2).

Solution. Recognize the form:

(a + b)(a − b)

The product will be the difference of two squares:

(x3 + 2)(x3 − 2) = x6 − 4.

x6 is the square of x3. 4 is the square of 2.

Upon seeing the form (a + b)(a − b), the student should not do the FOIL method. The student should recognize immediately that the product will be a2 − b2.

That is skill in algebra.

And the order of factors never matters:

(a + b)(a − b) = (a − b)(a + b) = a2 − b2.

Step-by-step explanation:

(a+b)(a-b)

use a and b in the first bracket to multiply the next bracket ; a(a-b)+b(a-b)

a square-ab+ab-bsquare

When selecting four coins from a jar containing quarters, loonies, and toonies, there are a total of 27 unique combinations.

This can be calculated by using the formula for combination, which is nCr.

In this case,

n is the total number of coins in the jar (3) and

r is the number of coins selected (4).

Therefore, 3/(4(3-4)) = 3/0 = 3/1 = 3,

which is the number of possible combinations in the jar for the quarters, loonies, and toonies. When you multiply 3 by 3, you get 9, and when you multiply 9 by 3 again, you get 27.

Therefore, there are 27 unique coin combinations when selecting four coins from the jar.

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answer:

5x-5

step-by-step explanation:

from the question, it can be determined that karen makes 4x-5 (x representing the amount of free throws made by kimi). since the question is asking you to find the total or sum of their free throws, you add 4x-5 and x to get the answer above. hope that helps!

Answer:

54 is the correct answer