Please help!!! "Find the interquartile range (IQR) of the data in the box plot below.

Answer:

your answer would be A f(x)=500(1.057)x

Step-by-step explanation:

The required exponential function, f(x), models the tons of cherries produced by Cherry Hill Orchards x years after 2012 is [tex]f(x) = 500(1.057)^x[/tex]. Option A is correct.

An exponential function is a mathematical function of the form [tex]f(x) = a^x[/tex], where a is a constant (called the base of the exponential function) and x is the independent variable. In this function, the base a is raised to the power of x, resulting in an output value that grows or decays rapidly depending on whether the base is greater or less than 1.

Here,
The exponential growth model that can be used to represent the tons of cherries produced by Cherry Hill Orchards x years after 2012 is:

[tex]f(x) = 500(1.057)^x[/tex]

Here, 500 represents the initial tons of cherries produced by the orchard in 2012 and [tex](1.057)^x[/tex] represents the annual increase in production, compounded annually.

Therefore, the correct option is (A) [tex]f(x) = 500(1.057)^x[/tex].

Learn more about exponential function here:

brainly.com/question/15352175

#SPJ3

Answer:

D. The slope is 2.  The y-intercept is (0,-4)

Step-by-step explanation:

[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1} } \\= \frac{4-(-4)}{4-0}\\= \frac{4+4}{4}\\= \frac{8}{4}\\= 2[/tex]

y- intercept is where x equal to 0, according to the chart, y-int is (0,-4)

so the answer is D. The slope is 2.  The y-intercept is (0,-4)

Answer:

77 is 35% of:  220

Step-by-step explanation:

Answer:

6(11)+4=70

5(11)=55

70²+55²

=7259

square root if 7259=85.20

and that's your answer

Goodnight

Answer:

x= 4

The number is 4

Step-by-step explanation:

Make it into an equation

1/4x + 3 = 4

1/4 = 4-3

1/4x = 1

x= 1 × 4

x= 4

Answer:

●3 x^2 - 16 x + 20

in this case you will write -16 as a difference

3 x^2 - 6x - 10 x + 2

●2 x^2 + 25x + 50

write 25 as a sum

2 x^2 + 20x + 5 x + 50

Answer:

above is correct i reviewed it id be surprised if its wrong.

Step-by-step explanation:

give above brainliest.....

Answer:

Not sure what you're asking here.

Step-by-step explanation:

If you're trying to find the new price just put in your calculator.

Answer:

a.

capacity of car = 14 gallons

consumption of fuel in one day = 0.6 gallons

consumption of fuel in 14 days = 14 x 0.6 = 8.4 gallons

fuel remaining in car = 14 - 8.4 = 5.6 gallons

so they can drive the car without warning.

b.

consumption of fuel in one day = 0.6 gallons

consumption of fuel in 25 days = 25 x 0.6 = 15 gallons

fuel remaining in car = 14 - 15 = -1 gallons

so they can't drive the car without warning.

c.

the expression 14 - 0.6t represents remaining fuel in the vehicle, where t represents number of days.

d.

14 - 0.6t = 1.5

or - 0.6t = 1.5 - 14 = - 12.5

or t = -12.5 / - 0.6

or t = 20.8333 days

so he can drive 20 days without warning.                                                                                         E.

14 - 0.6t < 1.5

or t < 20.8333

here t represents number of days car can drive without warning light.

Step-by-step explanation:

The inequality is  

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

14 gallons-1.5 gallons=12.5 gallons  

we know that

If the remaining fuel is greater than  1.5 gallons Diego's father can drive the car without the warning light coming on  

so

Let

x ----> the number of days

 ----> inequality that represent the situation

Solve for x

The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

Answer:

10% of $24 is $2.40 so $2.40X 2 =$4.80

Answer:

c = xy = b 3-030

i have this free of square unit b 6

Step-by-step explanation:

y = x + 7

For -1:

y = -1 + 7 = 6

y = 7

(x,y) = ( -1, 7)

For 0:

y = 0+ 7

y= 7

(x,y) = (0,7)

For 2:

y = 2+ 7

y= 9

(x,y) = (2,9)

For 4:

y = 4+ 7

y= 11

(x,y) = (4,11)

Answer:

9 combinations are in the sample space

Step-by-step explanation:

Well there's 3 sizes 4 flavors and with or without nuts

3(Sizes)+ 4(flavors)+ 2(with or without)

Therefor when you add those up you get 9 things people can choose from, known as the sample space.

Answer:

1A: (2,1); (2,4); (6,1); (3,4)

1B: (4,2); (4,8); (12,2); (6,8)

Step-by-step explanation:

1A: It's pretty straightforward-- identify the coordinates for each vertex.

1B: If it's being dilated by a factor of 2, then each vertex is going to be multiplied by a factor of 2. So our vertices would be: (4,2); (4,8); (12,2); (6,8).

Hope this helped!

The coordinates of a point, or points (ABCD) following a dilation about the origin is given by the product of the point and the scale factor of dilation

The description, vertices of the figure, and the new vertices are;

Reason:

1. The quadrilateral is a trapezium

2. The vertices of the quadrilateral are given by the coordinates of the points A, B, C, and D, in the figure, which are;

A(2, 1), B(2, 4), C(3, 4), D(6, 1)

3. Dilating the quadrilateral by a scale factor of two about the origin gives;

Coordinates of A' = (2×2, 2 × 1) = (4, 2)

Coordinates of B' = (2×2, 2 × 4) = (4, 8)

Coordinates of C' = (2×3, 2 × 4) = (6, 8)

Coordinates of D' = (2×6, 2 × 1) = (12, 2)

The new coordinates of the vertices of the quadrilateral following a dilation by a scale factor of two are; (4, 2), (4, 8), (6, 8), and (12, 2)

Learn more about dilation by a scale factor here:

https://brainly.com/question/20342390

Answer:

Classifying Polynomials

Polynomials can be classified two different ways - by the number of terms and by their degree.

1. Number of terms.

A monomial has just one term. For example, 4x2 .Remember that a term contains both the variable(s) and its coefficient (the number in front of it.) So the is just one term.

A binomial has two terms. For example: 5x2 -4x

A trinomial has three terms. For example: 3y2+5y-2

Any polynomial with four or more terms is just called a polynomial. For example: 2y5+ 7y3- 5y2+9y-2

Practice classifying these polynomials by the number of terms:

1. 5y

2. 3x2-3x+1

3. 5y-10

4. 8xy

5. 3x4+x2-5x+9

Answers: 1) Monomial 2) Trinomial 3) Binomial 4) Monomial 5) Polynomial

2. Degree. The degree of the polynomial is found by looking at the term with the highest exponent on its variable(s).

Examples:

5x2-2x+1 The highest exponent is the 2 so this is a 2nd degree trinomial.

3x4+4x2The highest exponent is the 4 so this is a 4th degree binomial.

8x-1 While it appears there is no exponent, the x has an understood exponent of 1; therefore, this is a 1st degree binomial.

5 There is no variable at all. Therefore, this is a 0 degree monomial. It is 0 degree because x0=1. So technically, 5 could be written as 5x0.

3x2y5 Since both variables are part of the same term, we must add their exponents together to determine the degree. 2+5=7 so this is a 7th degree monomial.

Classify these polynomials by their degree.

1.7x3+52+1

2.6y5+9y2-3y+8

3.8x-4

4.9x2y+3

5.12x2

Answers 1) 3rd degree 2) 5th degree 3) 1st degree 4) 3rd degree 5) 2nd degree

The polynomial 3x² + 8x  is a quadratic binomial.

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

Given, A polynomial 3x² + 8x.

Now, The highest power of the variable is 2 hence it is a quadratic polynomial and the number of terms is 2 hence it is a binomial also.

So, The polynomial 3x² + 8x is a quadratic binomial.

learn more about polynomials here :

https://brainly.com/question/11536910

#SPJ5

Answer:

-9

Step-by-step explanation:

I have made it in above picture

hope it helps

Answer:

show me the dentist appointment Leventhal and a toothache now

Answer:

Step-by-step explanation:

Cylinder volume formula:

Substitute values:

Answer:

it ia a because i did that on edginuity

Answer:

Step-by-step explanation:

1). In ΔABC,

   For angle A as a reference angle,

   Opposite side of ∠A → BC

   Adjacent side of ∠A → AC

   Hypotenuse → AB

2). By using tangent ratio in ΔYWZ,

    tan(72°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

    tan(72°) = [tex]\frac{12}{x}[/tex]

    x = [tex]\frac{12}{\text{tan}(72)}[/tex]

    x = 3.899

    x ≈ 3.9

3). By using sine rule in ΔKNM,

    tan(x°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

    tan(x) = [tex]\frac{20}{58}[/tex]

    x = [tex]\text{tan}^{-1}(\frac{20}{58} )[/tex]

    x = 19.03

    x ≈ 19.0°

4). By applying cosine ratio in ΔJKF,

    tan(70°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

    tan(70) = [tex]\frac{60}{x}[/tex]

    x = [tex]\frac{60}{\text{tan}(70)}[/tex]

    x = 21.838

    x ≈ 21.8

Answer:C

Step-by-step explanation:

Answer:

c, becajse thats the one that makes most sence

Step-by-step explanation:

y

Step-by-step explanation:

step 1. f°g(x) = f(x^2)

step 2. f(x^2) = 4(x^2) - 1

step 3. answer: 4x^2 - 1

Answer:

Step-by-step explanation:

Multiply by 40     :)  the answer for the part in red

Pi r  = circumference ,  or all the way around the tire on the outside , once

pi * 14

43.98229 inches = circumference

40 * 43.98229 = 1759.291  inches

1759.291 / 12 = 146.6 feet  

:)  

Answer:

Step-by-step explanation:

In order to find the answer. You first have to find the measure of the whole circle, which is 180.

Then you subtract 180-95 to find y.

180-95=85

So y=85

Then you subtract 180 from 80

180-80=100

So x=100

z=80

So the answer is D.

Answer:

point, P and Q Brocard's points. Prove that P and Q belong to the circle with diameter ... 0 < αi < 2π. ... 5. Square P QRS is inscribed into △ ABC so that vertices P and Q lie on sides AB and

Answer:

20 square feet

Step-by-step explanation:

Area of a triangle is half the area of a rectangle. (when they have the same length and width!)

To get the area it would be 10 *2 = 20

Answer:

A. 3/2

Step-by-step explanation:

rise/run

from (0,1) to (2,4) the y will rise 3 and the x will go right by 2

Answer:

5 hours

Step-by-step explanation:

4/8 is simply 1/2 and 1/2 times 2 is 1

so 2 1/2 times 2 is 5 hours

Answer:

[tex]V=55212651.6\ \text{inches}^3[/tex]

Step-by-step explanation:

Given that,

The radius of a sphere, r = 6 m

We know that,

1 m = 39.37 inches

6 m = 236.22 inches

The volume of the sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3\\\\V=\dfrac{4}{3}\pi \times 236.22^3\\\\V=55212651.6\ \text{inches}^3[/tex]

So, the required volume of the sphere is equal to [tex]55212651.6\ \text{inches}^3[/tex].

Answer:

[tex]1\frac{7}{8}[/tex]

Step-by-step explanation:

In order to find the answer to this question you must convert the mixed numbers into improper fractions and then subtract.

[tex]5\frac{1}{2} -3\frac{5}{8}[/tex]

Convert into improper fractions

[tex]5\frac{1}{2} =2\times5+1=\frac{11}{2}[/tex]

[tex]3\frac{5}{8} =8\times3+5=\frac{29}{8}[/tex]

Now subtract by finding the common denominator:

[tex]\frac{11}{2} \times 4 = \frac{44}{8}[/tex]

[tex]\frac{29}{8} \times1=\frac{29}{8}[/tex]

[tex]44 -29=15[/tex]

[tex]=\frac{15}{8} /1\frac{7}{8}[/tex]

Hope this helps.