Choose the equation for the graph
below.
a. y =
1
X-2
2
b.y =
x²–4
3
c. y =
x+2
-3
d.y=
e. y =
2x+4
1
x2+2x+1

Number of countries would west Virginia be expected to have is  18 countries

The number of campgrounds that North Dakota has = 465 campgrounds

The number of countries = 12 countries

The number of campgrounds that West Virginia has = 711 campgrounds

Given that the North Dakota was proportional to West Virginia in the number of campgrounds to counties.

The proportion will be

465 / 12 = 711 / x

Divide the terms

38.75 = 711 / x

x = 711 / 38.75

Divide the terms

x = 18.4

x ≈ 18 countries

Hence, number of countries would west Virginia be expected to have is  18 countries

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The area of the border is 105.53 feet².

We have,

The swimming pool is a combination of two shapes.

Rectangle:

Length = 60 feet

Width = 30 feet

Area = 60 x 30 = 1800 feet²

Semicircle:

Diameter = 30 feet

Radius = 15 feet

Area = π/2 r² = 1/2 x 3.14 x 15 x 15 = 353.25 feet².

Now,

The area of the swimming pool.

= 1800 + 353.25

= 2153.25 feet²

Now,

Without the border.

Area of the swimming pool.

= rectangle area + semicircle area

= 60 x (30 - 1) + 1/2 x π x (15 - 1)²
= 60 x 29 + 1/2 x 3.14 x 14 x 14

= 1740 + 307.72

= 2047.72 feet²

Now,

The area of the border.

= 2153.25 - 2047.72

= 105.53 feet²

Thus,

The area of the border is 105.53 feet².

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The reciprocal of the divisor 5 1/5 divided by 1/10 is 10.

The reciprocal of the divisor: Reciprocal and division of fractions are two different methods. When the numerator and denominator of a fraction are interchanged, then it is said to be its reciprocal. Suppose a fraction is a/b, then its reciprocal will be b/a. A fraction is a numerical quantity that is not a whole number.

The reciprocal of the divisor 5 1/5 divided by 1/10

To the reciprocal of the divisor.

Equation: 5 1/5 divided by 1/10

1st: Flip the 1/10 to become 10/1

2nd: Change division to multiplication

New equation: 5.1/5.10/1

⇒ 50/5

       ⇒ 10.

The reciprocal of the divisor 5 1/5 divided by 1/10 is 10.

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Answer:

The range is [7, -infinity)

Step-by-step explanation:

Since the leading coefficient is negative and it is a degree 2 polynomial, it is a parabola opened for downwards.

Answer:

80 marbles

Step-by-step explanation:

8 times 2=16

40 times 2=80

It should be noted that the number of sample size based on the information will be 300.

In order to calculate the sample size, we can use the following formula:

n = z² * p * (1-p) / E²

n = 1.96² * 0.5 * (1-0.5) / 0.05²

= 300

A questionnaire is a method of gathering data that makes use of written questions to be answered by the respondents. It is a popular method of data collection because it is relatively easy to administer and can be used to collect a wide variety of information.

In the first column, the population is the entire National Capital Region (NCR). The sample is the city of Manila. In the second column, the population is all STEM students. The sample is all academic track students. In the third column, the population is all the tablespoons of sugar in the jar. The sample is one tablespoon of sugar. In the fourth column, the population is all the vowels in the word "juice". The sample is the vowel "i".

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Answer:

D

Step-by-step explanation:

The coefficient is the number before the varaible x.

Answer:

y=40+35

Step-by-step explanation:

because both are in positive and they are consonant not variable

please make me brainliest answer

Answer:

2 5/23

Step-by-step explanation:

The solution after dividing the numbers in a mixed number form is \(2\dfrac{5}{23}\).

Used the concept of the divide that states,

The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.

Given that,

\(5\dfrac{2}{3}\) divided by \(2\dfrac{5}{9}\)

Now we can divide the numbers as,

\(5\dfrac{2}{3}\) divided by \(2\dfrac{5}{9}\)

It can be written as,

\(5\dfrac{2}{3} \div 2\dfrac{5}{9}\)

Change into an improper fraction,

\(\dfrac{17}{3} \div \dfrac{23}{9}\)

\(\dfrac{17}{3} \times \dfrac{9}{23}\)

\(17} \times \dfrac{3}{23}\)

\(\dfrac{51}{23}\)

Change it into mixed fractions,

\(2\dfrac{5}{23}\)

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Answer:

Ratio

Step-by-step explanation:

The measurement of time is measured in ratio scale

Answer: Yes

Step-by-step explanation:

We move all terms to the left:

17d+85-(170)=0

We add all the numbers together, and all the variables

17d-85=0

We move all terms containing d to the left, all other terms to the right

17d=85

d=85/17

d=5

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer:

5

−21

÷

10

−7

= \frac{-21}{5} \times \frac{-10}{7}=

5

−21

×

7

−10

= \frac{21\times 10}{5 \times 7 }=

5×7

21×10

/* After cancellation , we get */

= 6=6

Therefore.,

\red{ \frac{-21}{5} \div \frac{-7}{10}}\green { = 6}

5

−21

÷

10

−7

=6

•••♪

Answer: -6

Step-by-step explanation:

(-21/5) / (-7/-10)

Since there is two negatives in -7/-10 the negative will cancel out, but only in -7/-10

(-21/5)/(7/10)

You can now divide what’s in the parentheses (which will give you (-21/5)/(10/7)

(-21/5) / (10/7) =  -3 X 2 (just divide 10 by 5 and -21 by 7, when dividing fractions you divided the opposing numerator by the denominatior)

-3 x 2 = -6

Hope that makes sense :)

Answer:

60,480 is the correct answer.

Step-by-step explanation:

First of all, let us have a look at the formula of factorial of a number 'n':

\(n! = n \times (n-1) \times (n-2) \times ...... \times 1\)

i.e. multiply n with (n-1) then by (n-2) upto 1.

Keep on subtracting 1 from the number and keep on multiplying until we reach to 1.

So, \(9!\) can be written as: \(9 \times 8 \times 7 \times ...... \times 1\)

Similarly \(3!\) can be written as: \(3 \times 2 \times 1\)

Re-writing \(9 !\) :

\(9 \times 8 \times 7 \times ...... 3 \times 2 \times 1\\\Rightarrow 9 \times 8 \times 7 \times ...... 3 !\)

Now, the expression to be evaluated:

\(\dfrac{9!}{3!} = \dfrac{9 \times 8 \times 7 \times ..... \times 3!}{3!}\\\Rightarrow 9 \times 8 \times 7 \times 6 \times 5 \times 4\\\Rightarrow 60480\)

Answer:

60480

Step-by-step explanation:

The value of c such that the function f is a probability density function is 2

The density function is given as:

f(x) = cxe^(−x^2) if x ≥ 0

f(x) = 0 if x < 0.

We start by integrating the function f(x)

∫f(x) = 1

This gives

∫ cxe^(−x^2) = 1

Next, we integrate the function using a graphing calculator.

From the graphing calculator, we have:

c/2 * (0 + 1) = 1

Evaluate the sum

c/2 * 1 = 1

Evaluate the product

c/2 = 1

Multiply both sides of the equation by 2

c = 2

Hence, the value of c such that the function f is a probability density function is 2

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Answer:

Step-by-step explanation:

→ Angle = 180

→ \(n^o+108^o+2n^o=180^o\)

→ \(3n^o+108^o=180\)

→ \(3n^o=72^o\)

→ \(n=72^o/3\)

→ \(n=24\)

∠DOB= 2n = 2× 24°

∠DOB= 48°

\(-----------\)

hope it helps...

have a great day!!

Answer:

We have a total investment of $20,000 in two different amounts A and B.

Then:

A + B = $20,000.

And we know that the interest of the amount A is 7%, and the interest of the amount B is 10%. (i will assume that both interests are yearly interest)

And after one year, Hank earns $1,640 thanks to those interests, then we have that:

(7%/100%)*A + (10%/100%)*B = $1,640

And we can write this as:

0.07*A + 0.1*B = $1,640

Then we have a system of equations:

A + B = $20,000

0.07*A + 0.1*B = $1,640

To solve this, the first step is isolating one of the variables in one of the equations.

Let's isolate A in the first equation:

A + B = $20,000

A = $20,000 - B.

Now we can replace this in the other equation:

0.07*A + 0.1*B = $1,640

0.07*($20,000 - B) + 0.1*B = $1,640

$1,400 - 0.07*B + 0.1*B = $1,640

0.03*B = $1,640 - $1,400 = $240

B = $240/0.03 = $12,000

Then we have:

A = $20,000 - $12,000 = $8,000

Hank invests $12,000 in the 10% account and $8,000 in the 7% one.

Answer:

3cm,4cm,5cm

Step-by-step explanation:

5 is the longest side ( the hypotenuse)

and by Pythagoras theorem x=√(3²+4²)

= √(9+16)

=√(25)

= 5

so 3cm,4cm,5cm is a right angle triangle.

x=√(27²+36²)

=√(729+ 1296)

=√2025

=45

so 27cm,36cm,45cm is a right angle triangle

Answer:

c

Step-by-step explanation:

the surface area for spheres is

4 × π × r²

4 × π × (7²) = 196 π

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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Answer:

3.5 feet

Step-by-step explanation:

You see, the question states that the distance it travels is always 3.5 minutes per foot traveled. Therefore, 3.5 is the answer.

Answer:

Step-by-step explanation:

The equation is a proportional one. This is the kind of question you sort of have to look at twice.

d = 3.5 m

m = 1 minute

d = 3.5 * 1

d = 3.5 feet per minute.

The distance between points R and S is  \(\sqrt{ (185)\). The correct answer is D. She made no errors.

Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:

RS = √(-4) (-3))² + (7 − 5)²

= √(-1)² + (2)²= √1 + 4

= √5

The error is with the order of subtraction in the formula for the distance between two points.

Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.

The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;

dAB = \(\sqrt{  ((x^2 - x1)^2 + (y2 - y1)^2)\)

Comparing the given question with the formula above, we have;

A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.

Therefore, we have;

RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)

On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS

= \(\sqrt{ (8^2 + 11^2)RS\)

= \(\sqrt{ (64 + 121)RS\)

= \(\sqrt{ (185)\)

Therefore, the distance between points R and S is  \(\sqrt{ (185)\).

From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.

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\( \huge\boxed{\sf \green{ Given : }}\)

\(\red {\underline{ \sf \: Let's \: Solve \: For \: Eqn \: 1 : }}\)

_____________________________________

\(\orange {\underline{ \sf \: Let's \: Solve \: For \: Eqn \: 2}}\)

____________________________

[Eqn 3]

f(x) = x³ + 3x² + 6x - 11 when x = 5

____________________________

[Eqn 4]

f(x)=x³ - x² + 12x - 15 when x = 1

____________________________

[Eqn 5]

f(x) = 2x³ + 6x² + 4x + 8 when x = 2

\( \boxed{\sf \purple{ Hope \: It's \: Helpful!}}\)

Evaluating the polynomial using direct substitution method will give the following :

f(x) = 2x³ - 5x² - x when x = 3

f(3) = 6

f(x) = -4x³ + 3x - 5 when x = 2

f(2) = -31

Substitution simply means to put in place of another.  Therefore,

f(x) = 2x³ - 5x² - x when x = 3

f(3) = 2(3)³ - 5(3)² - 3

f(3) = 2(27) - 5(9) - 3

f(3) = 54 - 45 - 3

f(3) = 6

f(x) = -4x³ + 3x - 5 when x = 2

f(2) = -4(2)³ + 3(2) - 5

f(2) = -4(8) + 6 - 5

f(2) = -32 + 6 - 5

f(2) = -32 + 1

f(2) = -31

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

Work Shown:

A = probability of getting at least a "3" on the die

A = probability of getting either "3", "4", or "5"

A = 3/6

A = 1/2

B = probability of getting the letter "S" from "Statistics"

B = 3/10 since there are 3 "S" letters out of 10 letters total

C = probability of events A and B happening

C = A*B

C = (1/2)*(3/10)

C = (1*3)/(2*10)

C = 3/20

The probability of at least a three, then the letter S will occur will be 9/60.

Probability of an event is the ratio of number of favorable outcomes to

the total number of outcomes. Probability is a measure of how likely an

event is going to happen. Mathematically, we can write that -

P{E} = (favorable outcomes)/(total number of outcomes)

It is given that a die is rolled then a letter in the word statistics is

randomly selected. Now, the probability of at least a three, then the letter

S will be -

P = 3/6 x 3/10

P = 9/60

Therefore, the probability of at least a three, then the letter S will occur will be 9/60.

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Each coordinate was multiplied by 2 instead of divided by 2

the correct coordinates are

preimage                                image

A (2, 5)   → (2 * 1/2, 5 * 1/2) →   A' (1, 2.5)

B (2, 0)  → (2 * 1/2, 0 * 1/2) →    B' (1, 0)  

C (4, 0)  → (4 * 1/2, 0 * 1/2) →    C' (2, 0)

Dilation is a method of transformation that magnify or shrink the preimage depending on the scale factor

The transformation rule for dilation is as follows

(x, y) for a scale factor of r → (rx, ry)

following similar procedure for the given problem we solve with scale factor of 1/2

preimage                                 image

A (2, 5)   → (2 * 1/2, 5 * 1/2) →   A' (1, 2.5)

B (2, 0)  → (2 * 1/2, 0 * 1/2) →    B' (1, 0)  

C (4, 0)  → (4 * 1/2, 0 * 1/2) →    C' (2, 0)

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Upon graphing of the function rule h = 8 - 0.4j, we see that the graph is continuous.

We are given the function as; h = 8 - 0.4j

Let h represent the height in inches on the y-axis and let j represent the amount of juice in ounces on the x-axis.

We are told that the height of the juice in a 20-oz bottle depends on the amount of juice. This means that j is an independent variable and h is dependent variable.

The function  represents the height of juice after drinking j ounces of juice. Therefore as the juice is being drank, the height of the juice in bottle will change continuously. Therefore, the graph of our given function will be continuous because we can drink fractions of an ounce juice.

The equation of a line in slope-intercept form is given as;

y = mx + b

where;

m is Slope of line

b is y-intercept

If we rewrite our function slope-intercept form of equation, we will get;

h = -0.4j + 8

Thus;

Slope = -0.3

y-intercept = 8.

The graph is as plotted in the attached file

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Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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