Mrs. Byrne’s class went raspberry picking. The data below show the weights of the cartons of raspberries the students picked.

Answer: (d)

Step-by-step explanation:

Given

Annual profit is given by

[tex]P=10x^2-280x+1600[/tex]

When it is factored then,

[tex]\Rightarrow 10x^2-280x+1600=0\\\Rightarrow 10\left( x^2-28x+160\right)=0\\\Rightarrow x^2-20x-8x+160=0\\\Rightarrow x(x-20)-8(x-20)=0\\\Rightarrow (x-8)(x-20)=0\\\Rightarrow x=8,20[/tex]

On factorization, we get that annual profit is zero at a whole prize of $8 and $20.

Answer:

x = 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1. distribute 7 to x and 5.

42 = 7x + 35

2. subtract 35 on both sides.

7 = 7x

3. Divide by 7 for both sides.

1 = x

Answer:

Step-by-step explanation:

hello :

g(x)=3x+5

g(−6).=3(-6) +5 = -18+5 = -13

Answer:

16,767

Step-by-step explanation:

Geometric sequence formula: an = ar^n-1

Now, we just plug in the values.

an = 23(3)^7-1

an = 23(3)^6

an = 23(729)

an = 16,767

Answer:

B. Point X

Step-by-step explanation:

Perpendicular Lines meet at a 90° angle.

Answer:

f(x)= (x-5)(x+6)

Step-by-step explanation:

First, we find the factors of -30 that add up to +1

We can use 6 and -5

6+(-5)=1

f(x)= x^2+6x - 5x-30

then, we do group factorization

f(x)= x(x+6)- 5(x+6)

f(x)= (x-5)(x+6)

i hope this helps <3

Answer:

433 m²

Step-by-step explanation:

Find the side length of the square first.

Apply Pythagoras Theorem on 1 of the triangles on the right, to find its remaining side.

[tex] \sqrt{ {12}^{2} - {9.6}^{2} } [/tex]

=[tex] \sqrt{51.84} [/tex]

= 7.2 m

Therefore the side of the square is

7.2 ×2

= 14.4 m

The area of the square

= 14.4²

= 207.36 m²

You are able to find the area if of the 2 triangles.

(7.2 × 9.6)÷2 ×2

= 69.12 m²

The height of the pentagon

= 25.4 - 7.2

= 18.2 m

The area of the pentagon

= (10+7.2) × 18.2 ÷ 2

= 156.52 m²

Add up the areas of the 3 polygons.

The area of the shape

= 207.36 + 69.12 + 156.52

= 433 m²

Answer:

The airplane would starts its descent from an altitude 500 feet lower.

Step-by-step explanation:

The x-axis is horizontal and the y-axis is vertical (altitude). It would be 500 feet lower because they took 500 away from the 30,000.

Answer:

9.798

Step-by-step explanation:

The geometric mean is 9.798 as the square root of 8 times 12. Scroll down to related links and look for more on "geometric mean".

Answer: The answer is A

Step-by-step explanation:

A/4x+B/x+7

The correct form of the partial fraction decomposition for the given expression is Option A

Partial Fraction Decomposition is the method of simplifying rational expressions.

The expression given is

[tex]\rm \dfrac{ 35-27x} { 4x^2+28x}[/tex]

Applying Partial Decomposition

[tex]\rm \rm \dfrac{ 35-27x} { 4x(x+7)}\\\\\\\dfrac{35}{4x(x+7)} - \dfrac{27x}{4x(x+7)}\\\\\\Taking \;A = 35/ x+7\\\\Taking \; B = -27/4\\\\[/tex]

It can be written as

[tex]\rm \dfrac{A}{4x} + \dfrac{B}{x+7}[/tex]

Therefore Option A is the answer.

To know more about Partial Factor Decomposition

https://brainly.com/question/2516522

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Answer:

Step-by-step explanation:

V = (4/3)πr3 so put it on a calculator (4/3)3.14 (or Pi) times radius which is r to the 3rd power so your answer would be 33.51 but make sure

Answer:

19.0 cm

Step-by-step explanation:

a^2+b^2=c^2

1^2+b^2=19^2

1+b^2=361

(subtract one from both sides)

b^2=360

(now square root to get rid of the ^2)

[tex]\sqrt{b^2}[/tex]=[tex]\sqrt{360}[/tex]

b=18.97 rounded to the tenths place is 19.0

Answer:

The length of the other leg is 19 cm (rounded to the nearest tenth).

Step-by-step explanation:

In order to solve this, we need to know the Pythagoras theorem which states that...

[tex]c^{2} = a^{2} +b^{2}[/tex]  (Where c is the length of the hypotenuse and a and b are the lengths of the legs)

Now just substitute the values to find the length of the other leg, and we get...

[tex]c^{2} = a^{2} +b^{2}\\19^{2} = 1^{2} + b^{2} \\b^{2} = 19^{2} - 1^{2} \\b^{2} = 361 - 1\\b^{2} = 360\\b = \sqrt{360} \\[/tex]

b ≅ 19

Therefore the length of the other leg is around 19 cm.

Answer:

1) 1,095

Step-by-step explanation:

[tex]a^{2} +1300^{2} =1700^{2} \\ a^{2} =1700^{2} -1300^{2} \\ =2890000-1690000\\ =1200000[/tex]

[tex]a^{2} =1200000\\ a=\sqrt{1200000} \\ a=1095.4451[/tex]

round to 1,095

Answer:

The answer is 1

Step-by-step explanation:

[tex]a =\sqrt{c^{2} - {b^{2 } \\[/tex]

[tex]a = \sqrt{1700^2 - 1300^2}[/tex]

[tex]a = \sqrt{2890000 - 1690000}[/tex]

[tex]a = \sqrt{1200000}[/tex]

[tex]a = 1095.4451150103[/tex]

The value of the perpendicular x will be 7.64 units.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

Then the tangent of an angle is the ratio of the perpendicular and the base of the right-angle triangle.

tan θ = P / B

Then we have

tan 27° = x / 15

         x = 7.64 units

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ1

Answer:

K

Step-by-step explanation:

By altering the initial height, you change the h-intercept. That will affect the maximum height and the t-intercept.

Answer: K

Answer:

post a new question so we can talk

Step-by-step explanation:

Answer:

1 1/6

Step-by-step explanation:

A mixed number is a proper fraction.

Answer:

[tex]1\frac{1}{6}[/tex]

Step-by-step explanation:

We are given the fraction of  [tex]\frac{7}{6}[/tex].

There are enough parts to make one whole, with one remaining.

Six sixths for the whole, the fraction would be one-sixth.

[tex]\frac{7}{6}=1\frac{1}{6}[/tex]

Hope this helps.

Answer:

[tex]8v^{3} +27=(2v)^{3} +3^{3}=(2v+3)(4v^{2} -6v+9)\\[/tex]

Step-by-step explanation:

from  formula a³ – b³ = (a – b) (a² + ab + b² )

Complete Question

A peanut butter cookie recipe calls for 3 1/2 cups of flour to make 6 dozen cookies. How many cups of flour must be used to make 20 dozen?

Answer:

11 2/3 cups of flour

Step-by-step explanation:

From the above question:

6 dozen = 3 1/2 cups of flour

20 dozen = x

Cross Multiply

6 dozen × x = 20 dozen × 3 1/2 cups of flour

x = 20 dozen × 3 1/2 cups of flour/6 dozen

x = 20 × 7/2 /6

x = 140/2 ÷ 6

x = 140/2 × 1/6

x = 140/12 cups of flour

x = 11 8/12

= 11 2/3 cups of flour

Therefore, 11 2/3 cups of flour must be used to make 20 dozen.

Answer:

6.

18+18 = 36

hence

x = 16

7.

x = 7 × 2

x = 14

Answer:

(11, 13)

Step-by-step explanation:

First Equation: x+y=24

Second Equation: y=x+2

x + (x + 2) = 24

2x + 2 - 2 = 24 - 2

2x/2 = 22/2

x = 11

y = (11) + 2

y = 13

Therefore, the solution to the system is (11, 13)

Answer:

48 students in each bus

Step-by-step explanation:

Answer:

$2,820

Step-by-step explanation:

$14,100.00 / 5= $2,820

Answer:

A)

this is a corect answer for this question:)

Answer:

48

Step-by-step explanation:

5 songs would equal 12 minutes, right?

5 times what equals 20? It's 4, so you take 12 times 4 since there'd be 4 times as many songs. So, to listen to 20 songs it'd take 48 minutes.

Answer:

A=584.57

Step-by-step explanation:

Answer:

N/A NO DIAGRAM

N/A NO DIAGRAM

Step-by-step explanation:

N/A NO DIAGRAM

N/A NO DIAGRAM

Answer:

12xy - 4x - 2y

Step-by-step explanation:

9xy - 4x + 3yx - 2y

3yx can be written as 3xy so we have:

12xy - 4x - 2y