Answer:
The average rate of change is 7.
Step-by-step explanation:
We are given the function:
[tex]f(x)=2x^2+x+5[/tex]
Which represents the number of jars of pickles, y (in tens of jars), Denise expects to sell x weeks after launching her store.
We want to find the average rate of change over 1 ≤ x ≤ 2.
Essentially, we want to find the slope over f(1) and f(2).
Thus, first evaluate the two endpoints:
[tex]f(1)=2(1)^2+(1)+5=2+1+5=8[/tex]
And:
[tex]f(2)=2(2)^2+2+5=8+2+5=15[/tex]
This gives us the two points (1, 8) and (2, 15).
Then the average rate of change will be the slope between the two:
[tex]\displaystyle m=\frac{15-8}{2-1}=7[/tex]
With units, this means that over the first and second week, Denise sold on average 70 jars of pickles per week.
i’ll give brainliest please help
Answer:
D. 4.5
Step-by-step explanation:
Answer:
(4,5)
Step-by-step explanation:
4 points Item 5 is unpinned. Click to pin. A cylindrical oil drum is 2.1 meters high and has a radius of 0.9 meters. How many cubic meters of oil can the drum hold? (volume)
Answer:
53.44 cubic meters
Step-by-step explanation:
A cylindrical oil drum is 2.1 meters high and has a radius of 0.9 meters. How many cubic meters of oil can the drum hold? (volume)
Volume of a cylinder = π × r² × h
r = 0.9 meters
h = 2.1 meters
= π × (0.9m)² × 2.1m
= 53.44 cubic meters
Therefore, the volume of the cylindrical oil drum = 53.44 cubic meters
Near the equator, the Earth rotates approximately 3 4 kilometers every 3 2 seconds. What is the speed of Earth's rotation near the equator?
Answer:
Speed = 1.0625 km / sec
Step-by-step explanation:
Distance = 34 kilometers
Time = 32 seconds
Speed = ?
The relationship between these quantities is given as;
Speed = Distance / Time
Inserting the values;
Speed = 34 km / 32 sec
Speed = 1.0625 km / sec
Mary Ellen saves 15% of each of her paychecks for her college fund. If Mary Ellen saved $60 from her last paycheck, how much was she paid?
Answer:
$400
..................
can someone help, complementary angles are angles that add up to a sum of 90°
Answer:
option 3..
aef+fed=90, aeg+ceg=90
Plsss help!
I will give brainliest
Answer:
x= +2, -2
hope it helps you
Write the equation of each ellipse in standard form with the given characteristics.
Answer:
Step-by-step explanation:
The foci are horizontally aligned.
horizontal ellipse:
(x-h)²/a² + (y-k)²/b² = 1
center (h,k)
vertices (h±a,k)
length of minor axis = 2b
foci (h±c,k), c² = a²-b²
Apply your data and solve for h, k, a, and b.
foci (±3√19, 6)
h = 0
k = 6
Length of minor axis = 2b = 10
b = 5
foci (h±3√19, 6)
c = 3√19
c³ = a² - b²
171 = a² - 25
a² = 196
x²/196 + (y-6)²/25 = 1
Question 5 20 pts If the radius of a circle is 28 cm, what is the circumference? (Use 3.14 for pi)
Answer:
The circumference of a circle can be found by multiplying pi ( π = 3.14 ) by the diameter of the circle. ... Use 3.14 for pi
Answer:
175.93
Step-by-step explanation:
Which table has a constant of proportionality between y and wof
Choose 1 answer
a _______________________________
Answer:
a
Step-by-step explanation:
2 x 4 is 8
2.5 x 4 is 10
3 x 4 is 12
The sum of two numbers must be 14 or greater. The product of the two numbers must be less than 40. Which system of inequalities represents this situation?
A.{x+y≥14xy<40
B.{x+y≥14xy<40
C.{x+y>14xy<40
D.{x+y>14xy<40
Answer:
A
Step-by-step explanation:
x+y≥14
xy<40
help
Given
mZABD = 70°
mZCBD = 5x + 13°
mZABC = 3.x + 33
Find m ZABC:
Answer:
3x+33+5x+13=70
8x+33+13=70
8x+46=70
8x=24
x=3
Let me know if this helps!
39 99/ 100 as a decimal
Answer:
39.99
.................
Answer:
39 99
Step-by-step explanation:
39 99/ 100 = (39 x 100 + 99) / 100
= 3999/100
= 39.99
Find two numbers whose product is 25 and whose sum is -10
A product is an answer to a multiplication problem and sum is the answer to an addition problem.
25 is the product, and -10 is the sum.
Factors of 25 is 5 and 5.
-5+-5=10.
But two negatives multiplied equals a positive.
-5 x -5=25
-5 + -5 = 10
---
hope it helps
Answer:
The two numbers are -5 and -5
Step-by-step explanation:
Let x and y be the two numbers respectively
xy = 25 --(1)
x + y = -10 --(2)
From (1), x = 25/y [You get x in terms of y]
Sub x = 25/y into (2)
25/y + y = -10 [Equation (2) is x + y = -10, but you got x = 25/y]
[Multiple the whole equation by y]
25 + y^2 = -10y
y^2 + 10y + 25 = 0 [This is a quadratic equation if you don't know]
y = -5
Sub y = -5 into (1)
x = -5
In the inequality 10x + 18 <_238 x represents the number of days Matt will be able to work during the summer. Which phrase MOST accurately describes that number of days?
A. exactly 22 days
B. more than 22 days
C. at most 22 days
D. less than 22 days
25 PTS!!
Answer:(c)
Step-by-step explanation:
Given
Inequality is [tex]10x+18\leq 238[/tex]
Subtract [tex]18[/tex] from both side of the inequality
[tex]\Rightarrow 10x+18-18\leq 238-18\\\Rightarrow 10x\leq 220[/tex]
divide both sides by 10
[tex]\Rightarrow \frac{10x}{10}\leq \frac{220}{10}\\\Rightarrow x\leq 22[/tex]
Therefore, maximum value of x can be 22 i.e. at most 22 days
Throughout Lewis Carroll's book, Alice's Adventures in Wonderland, Alice's size changes. Her normal height is about 50 inches tall. She comes across a door, about 15 inches high, that leads to a garden. After drinking a potion, Alice's height changes to 10 inches so she can visit the garden. How tall would the door have been in Alice's normal world? Justify your answer and provide mathematical evidence.
Answer:
jsjshisjsjiiiiiii>iiiiuuuu
Why does sin30° equal 1/2?
Step-by-step explanation:
it's easy to prove in any right triangle with a 30° angle, the side opposite to that angle is half the hypotenuse. CA (1/2)BC, CA/BC=1/2
Step-by-step explanation:
Take an equilateral triangle of side.
Bisec it through a vertex and the midpoint of the opposite side.
You now have two right-angled triangles with angels 30° , 60°, 90° with the edge opposite the 30° of length 1/2 and hypotenuse 1. So
sin (30°) = 1/2/1= 1/2.
Answer: The right angled triangle you describe has angels of 45 degrees, not 30 degrees.
What you proved is sin 45 = 1\2 , which is correct.
help with all 3 of those please
First Problem:
Equation -- 180 = x + 168
x = 12 Degrees
Second Problem:
Equation -- 180 = x+108
x = 72 Degrees
Third Problem:
Equation -- 180 = x +82
x = 98
Which is a statistical question?
How long does it take 6th grade students to get to school? What is the principal's favorite breed of dog? How old was my teacher on the first day of school this year? How many months this year will have 31 days?
The price of an item was reduced 25% to $30. What was the original price of the item?
А. $55.00
B. $40.00
C. $32.50
D. $22.50
Answer:
40 Percent
Step-by-step explanation:
I just used a calculator.
What is the side length of the smallest square plate on which a 30 cm chopstick can fit along a diagonal without any overhang? The approximate side length of the square plate is black cm.
Answer: 21.21 cm
Step-by-step explanation:
Given
length of diagonal on the square is 30 cm
Suppose a is the side length of the square
and length of diagonal is given as [tex]a\sqrt{2}\ units[/tex]
So,
[tex]\Rightarrow a\sqrt{2}=30\\\\\Rightarrow a=\frac{30}{\sqrt{2}}=21.21\ cm[/tex]
Thus, the side length of the square is 21.21 cm
y = x+4
y = -2x + 1
Solve by substitution
Answer:
The answer is ( -1 , 3 ) in point form and in eqaution form it is x = -1 , y = 3
What is the complete factorization of 4x2 − 26x + 30?
2(x + 5)(2x − 3) 2(x − 5)(2x − 3) 2(x − 5)(3x − 2) 2(x + 5)(3x − 2)
Answer:
2( 2x -3)(x- 5)
Step-by-step explanation:
step 1 . factor 2 out ( because when you multiply the 2 again with the equation it will give you the main equation)
2 ( 2x^2 - 13x + 15 )
step 2 . factor now by regrouping
2( 2x- 3 )( x - 5)
hope it helps
Calculate the pay for the following day of a
weekly time card given a wage of $11/hr.
Name
Week of:
Morning
In
Out
Monday 08:15 12:15
Afternoon
In Out
13:00 17:30
pay = $[?]
Round your answer to the nearest hundredth.
Enter
simplify 5√3 + 2√27 plzzz
Answer:
[tex]11 \sqrt{3} [/tex]
Step-by-step explanation:
[tex]11 \sqrt{3} [/tex]
hope it helps you
Answer:
11[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Simplify [tex]\sqrt{27}[/tex]
[tex]\sqrt{27}[/tex]
= [tex]\sqrt{9(3)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex]
= 3[tex]\sqrt{3}[/tex]
Then
5[tex]\sqrt{3}[/tex] + 2(3[tex]\sqrt{3}[/tex] )
= 5[tex]\sqrt{3}[/tex] + 6[tex]\sqrt{3}[/tex]
= 11[tex]\sqrt{3}[/tex]
Tell how much each person gets when they share equally 4 friends share 7 pounds of cashews
Answer:
They each get 1 3/4 pounds of cashews
Step-by-step explanation:
7 ÷ 4 = 1.75
1.75 ( 1 3/4)
Please help.
Algebra.
Answer:
the first one should be (0,-5)
the second should be (-2,1)
Step-by-step explanation:
You substitute the given value of y into your equation. 6x-y=5
6x-(-6x-5)=5
x=0
y=-6 * 0-5
y=-5
(x,y)=(0,-5)
AND
7x-6(4x+9)=-20
x=-2
y=4x(-2)+9
y=1
(-2,1)
hope this helps!
The length of one diagonal of a rhombus is 8 cm. The area of the rhombus is 72 cm2. What is the length of the other diagonal of the rhombus?
Answer:
18 cm
Step-by-step explanation:
From the question above,
Area of a rhombus
A = d₁d₂/2.................. Equation 1
Where A = area of the rhombus, d₁ = length of one diagonal, d₂ = length of the other diagonal
make d₂ the subject of the equation
d₂ = 2A/d₁............... equation 2
Given: A = 72 cm², d₁ = 8 cm
Substitute these values into equation 2
d₂ = (2×72)/8
d₂ = 144/8
d₂ = 18 cm.
If R(y=-1 ° T<0,3>)(X) → X'(3, -2), what were the coordinates of X?
[If (r, ) are polar coordinates of the point (x, y) with r > 0, note that not a. ... + y2) In(x2 + y2) (x,y) → (0,0) DNE X Find h(x, y) = g(f(x, y)). g(t) = t + In(t), f(x, y) = 3 - xy 4 ...
Help please!!
If each square of the grid below is 0.5 cm by 0.5 cm}, how many centimetres (cm) are in the perimeter of the blue figure?
Answer:
The perimeter of this figure can be found by counting the number of 0.5 lines it takes to go one full circle around the figure.
In this case, there are 42 of these 0.5 lines.
So, if there are 42 of these 0.5 lines, the perimeter of the figure would just be: 42 times 0.5, which is equal to 21 cm.
Let me know if this helps!
Answer:
its aops. 21
Step-by-step explanation:
Which expression shows the result of applying the distributive property to −2(13x−15)?