Answer:
Jason is incorrect.
The caterpillar's rate is 2 ft/min
Step-by-step explanation:
The rate of motion is defined as the quotient between the distance covered (in our case 16 feet) divided by the time it took to cover that distance (in our case 8 minutes)
Then, the rate is:
[tex]rate=\frac{distance}{time} = \frac{16\,\,ft}{8\,\,min} = 2\,\frac{ft}{min}[/tex]
Why is it important to have a control group in an experiment of investigation?
Answer choices-
•To show what happens when the dependent variable is not changed.
•To see how the dependent variable changes the dependent variable is not involved.
•To compare the results when the independent variable is not involved.
•To allow the researchers to change the dependent variable as they wish.
Answer:
I think its A
Step-by-step explanation:
Sorry if I'm wrong
you design a new app for cell phones. your revenue for x downloads is given by f(x)=3x. your profit is $20 less than 90% of the revenue for x downloads create a function p to model the profit. find the profit for 90 downloads
Answer:
The Break Even point is the point at which the cost=revenue 14,980+20x=30x 14,980=10x 1,498=x a. 1,498 units must be sold to break even. At $20 per unit, the dollar amount will be $29,960 b. The profit function is P(x)=R(x)-C(x) So P(x)=30x-(14,980+20x) If you want to solve for this equation just enter the value of x we found for the break even point to get the answer.
Hoped I helped
The profit for 90 downloads will be;
⇒ P = $223
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Your revenue for x downloads is given by,
⇒ f(x) = 3x
And, Your profit is $20 less than 90% of the revenue for x downloads create a function p to model the profit.
Now,
Since, Your revenue for x downloads is given by,
⇒ f(x) = 3x
And, Your profit is $20 less than 90% of the revenue for x downloads create a function p to model the profit.
Hence, We can formulate;
⇒ P = 90% of f (x) - 20
⇒ P = 90/100 × 3x - 20
⇒ P = 270x/100 - 20
⇒ P = 2.7x - 20
So, The profit for 90 downloads will be;
⇒ P = 2.7 × 90 - 20
⇒ P = $223
Thus, The profit for 90 downloads = $223
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Please someone help me ASAP.
Answer:
£13
Step-by-step explanation:
Set up a system of equations where s represents the cost of one shirt and j represents the cost of one jumper:
2s + j = 29
s + j = 21
Multiply the bottom equation by -2 to solve by elimination by cancelling out the s variables:
2s + j = 29
-2s - 2j = -42
-j = -13
j = 13
One jumper will cost £13
Simplify the expression to a polynomial in standard form: (x−3)(x 2 −7x−2)
Answer:
-5x²+13x+6
Step-by-step explanation:
(x-3)*(2x-7x-2)
(x-3)*(-5x-2)
-5x²-2x+15x+6
-5x²+13x+6
AB = 2x-5 BC = 6x AC = 27
Answer:
correct answer is x = 2.75
Step-by-step explanation:
Given;
AB = 2x-5
BC = 6x
AC = 27
Hence,
=> AC = AB + BC
=> 27 = 2x-5 + 6x
=> 27 = 8x-5
=> 27-5 = 8x
=> 22 = 8x
=> 22/8 = x
=> 11/4 = x
or
2.75 = x
Need Help PLEASE Ex 1:A scale model of a human heart is 196 inches long. The scale is 32 to 1. how many inches long is the actual heart? (can someone explain to me how to do this i have many other questions like this)
Answer: The actual heart is approximately 6.125 or rounded to 6
Step-by-step explanation: Divide the scale model 196 inches by 32 (the scale)
Name a fourth point in plane UVX
Answer:
The correct option is;
W
Step-by-step explanation:
The number of points that defines a plane in a Euclidean space in all dimensions is either three points which are not on the same line, or two colinear points and a third point not on the line
The given points of the plane are UVX, which gives the plane as being diagonal to the cube and perpendicular to the side face of the cube.
The fourth point in plane UVX is therefore W.
If you have 3/12 of an orange, how many fourths do you have?
Answer:
1/4
Step-by-step explanation:
you would have one fourth because you divide 3 and 12 by 4 and you get 1/4
3/3=1
12/3=4
pls solve with workings
Answer:
2a). Height = 2 cm
2b). Surface area = 395.84 cm²
Step-by-step explanation:
2a). Volume of the cylinder = 308 cm³
Radius of the base of the cylinder = 7 cm
Formula to get the volume of a cylinder = πr²h
308 = π(7)²h
h = [tex]\frac{308}{49\pi }[/tex]
h = 2 cm
Therefore, height of the cylinder will be 2 cm.
2b). Formula to calculate the surface area of the cylinder = [tex]2\pi r(r + h)[/tex]
By substituting the values in the given formula,
S.A. = 2π(7)(7 + 2)
= 395.84 cm²
Therefore, Surface area of the cylinder is 395.84 cm².
Factorise the following expression using grouping.
11x - 55 - 5a + ax
11x - 55 - 5a + ax
11 (x - 5) - a ( 5 + x )
Answer:
11 (x - 5) - a ( 5 + x )
What is the area of the triangle given below?
5
14
A. 70 sq. units
B. 38 sq. units
C. 19 sq. units
D. 35 sq. units
Answer:
35
Step-by-step explanation:
Comparing Amounts of Debt
Quick
Check
Jack's bank statement shows a debt of $25. Sort the account balances to show which are greater than Jack's debt
and which are less than Jack's debt
Account balance: -$30
Greater than Jack's Debt
Less than Jack's Debt
Account balance: $30
Account balance: $15
Account balance. -$10
Account balance: -550
Account balance: $5
Answer: Grater than jacks debt -$50 , -$30
less that jacks debt: $15 , -$10 , $30 , $5.
srry if its wrong but this is how i got it right
hopefully im right .......................... bye.
∩⁽° ⁻ °⁾∩
Answer:
Grater than jacks debt -$50 , -$30
less that jacks debt: $15 , -$10 , $30 , $5.
srry if its wrong but this is how i got it right
hopefully im right .......................... bye.
Step-by-step explanation:
Find the value of 5 · 2 ^3
Answer:
40
Step-by-step explanation:
[tex]5. {2}^{3} = 5.8 = 40 \\ [/tex]
Circle the equivalent expressions: A. 3(2p + 2) B. 12p C. p(3 + 3) + 6 D. 5p + 6 E. 2p + 4p + 6 F. 3 + 6p + 3
Answer:
a,e,f
Step-by-step explanation:
a. 6p+6
b.12p
c.6p
d.5p+6
e.6p+6
f.6p+6
need help ASP .find the universe function of f(x)=1/2x+3
Answer:
f (1) = 1/ 2(1) + 3
= 1/2 + 3
= 1/5
Which expression is equivalent to 36 + 12? 9(4+3) 10(26+2) 12(3+1) 6(30+6)
Answer:
12(3 + 1)
Step-by-step explanation:
if you distribute the 12:
12 x 3 = 36
12 x 1 = 12
= 36 + 12
Help me answer the following question.
Answer:
160 m
Step-by-step explanation:
you can approach this question with the thinking of simple math. First, you have the value of -85 rose by 30 means +30 and descending 105 means -105.
So, the calculation you will get is -85+30-105=-160. The negative means going down as the direction.
The Trumbull Tree Farm sold 390 trees last week. All of the trees were either evergreens, oaks, or maples. Twice as many oak trees as evergreen trees were sold. 5 times as many maple trees as oak trees were sold.
How many oak trees were sold last week?
Answer:
60
Step-by-step explanation:
We can use x to represent the number of oak trees.
This means evergreen trees will be 1/2x and 5x will be the maple trees.
Set up an equation:
x + 1/2x + 5x = 390
6.5x = 390
x = 60
So, 60 oak trees were sold last week.
graph: y-3= 1/2(x+2)
Answer:
slope: 1/2
y-intercept: 4
dante’s cell phone company charges $45 per month for unlimited calls and internet use and $0.25 per text message. his last cell phone bill was $60.50. how many text messages did he send last month. write an equation.
Answer:
242 text messages.
Step-by-step explanation:
60.50 / 0.25 = 242
60.50 being the phone bill.
0.25 being each text message.
/ stands for ' divided by '.
Answer:
62 text messages
Step-by-step explanation:
Let the number of text messages be x,
Then the required equation:
0.25x + 45 = 60.50Solution:
0.25x = 60.50 - 450.25x = 15.50x = 15.50/0.25x = 62Answer is: 62 text messages
Find the midpoin, M, of AB
Answer:
11
Step-by-step explanation:
The midpoint of AB is half the distance from A to B. Here that distance is 22. Thus, the midpoint of AB is 11.
Answer:
Hey there!
The answer is 11. We can use the midpoint formula, but since this is a number line, we can easily see that 11 is half of 22.
Let me know if this helps :)
Frank needs to fill juicecups for his little sister's birthday party there are 35 juice cups in each juice cup holds 12 fluid ounces the juice comes in a 1 gallon bottle how many 1 gallon bottles of juice will Frank need to purchase
Answer:
He would need 3.3 gallons
Step-by-step explanation:
1 gallon = 128 ounces
35 * 5 = 420
420 / 128 = 3.28
Your favorite local college football team, the UCF Knights, won 35 of out 39 games over a period of 4 years. If they keep their winning pace, predict how many games you would expect them to win over the next 78 football games?
Answer:
They will win 70 games
Step-by-step explanation:
if for 39 games they won 35 of them,
for 78 they will win X
39*X= 78* 35
39X= 2730
X= 70
can u do question b pls
Answer: a) $481.62 b) $16,569.76
Step-by-step explanation:
The formula for compound interest is: [tex]A = P(1 + r)^t[/tex] where
A is the accrued amount (balance)P is the principle (initial deposit)r is the rate (convert percentage into a decimal)t is the time (number of years)Given: P = 3000, r = 1.15% (0.015), t = 10
[tex]A = 3000(1 + 0.015)^{10}\\\\\\A = 3000(1.015)^{10}\\\\\\A = 3,481.62[/tex]
Interest Earned = accrued amount - principle
= 3,481.62 - 3,000
= 481.62
******************************************************************************************
I couldn't remember the formula so I created a table:
[tex]\begin{array}{c||l|c||r}\underline{Jan\ 1}&\underline{Interest\ Earned}&\underline{Deposit}&\underline{Balance}\\2019&0&3000&3,000.00\\2120&3000(1.015)&1200&4,245.00\\2121&4245(1.015)&1200&5,508.68\\2122&5508.68(1.015)&1200&6,791.31\\2123&6791.31(1.015)&1200&8,093.17\\2124&8093.17(1.015)&1200&9,414.57\\2125&9414.57(1.015)&1200&10,755.79\\2126&10755.79(1.015)&1200&12,117.13\\2127&12117.13(1.015)&1200&13,498.88\\2128&13498.88(1.015)&1200&14,901.37\\2129&14901.37(1.015)&1200&16,324.89\\\end{array}[/tex]
2130 || 16324.89(1.015) | 0 || 16,569.76
caley is making some punch for her birthday party.She mixes 1/2 litre of cranberry juice,1/1/2 litres of apple juice,2/3 litre of orange juice and 4/5 litres of pineapple juice.She has a bowl that will hold 4 litres.Will this be enough to contain all of the punch?
Answer:
yes it will contain it
Step-by-step explanation:
.5 + 1.5 + .66 + .8 = 3.46
ASAP.....!help........!!
Answer:
360
Step-by-step explanation:
First, we need to solve the numbers in the parentheses.
(14-2)^2 = (14 - 2)(14 - 2) = 196 -56 +4 = 144 (Use FOIL)
Then, we multiply that by 5.
144 * 5 = 720
Finally, we divide by two to get our answer.
720 ÷ 2 = 360
Answer:
360.
Step-by-step explanation:
Step 1:
Combine and Determine sums of certain numbers: 12 = 22•3
(12)2 = (22•3)2 = 24 • 32 =
--5 • (24•32) /2
Step 2:
Simplify: 24•32) /2 =
--5 • 72
Step 3:
Multiply: 360
I need to find the value of x and y. HELP PLEASE
Answer:
The answer is option C
Step-by-step explanation:
Since the triangle is a right angled triangle we can use trigonometric ratios to find x and y
For xIn order to find x we use tan
tan∅ = opposite/ adjacent
From the question
The opposite is 4
The adjacent is x
Substitute the values into the above formula
That's
[tex] \tan(30) = \frac{4}{x} \\ x \tan(30) = 4 \\ x = \frac{4}{ \tan(30) } [/tex]We have the answer as
[tex]x = 4 \sqrt{3} [/tex]For yIn order to find y we use sine
sin ∅ = opposite / hypotenuse
From the question
The opposite is 4
The hypotenuse is y
So we have
[tex] \sin(30) = \frac{4}{y} \\ y \sin(30) = 4 \\ y = \frac{4}{ \sin(30) } [/tex]We have the answer as
y = 8Hope this helps you
The parallel sides of a trapezoid have lengths 9 cm and 12 cm. Draw one diagonal, dividing the trapezoid into two triangles. What is the ratio of their areas?
Answer:
Ratio of triangle = 3 : 4
Step-by-step explanation:
Given:
Parallel sides = 9 cm , 12 cm
Find:
Ratio of triangle
Computation:
Assume height = h
Area of triangle = [1/2]bh
Area of triangle (1) = [1/2](9)h
Area of triangle (1) = 4.5 h
Area of triangle (2) = [1/2](12)h
Area of triangle (2) = 6 h
Ratio of triangle = 4.5 h / 6 h
Ratio of triangle = 3 : 4
As of Sunday evening, José has collected 172 clothing items and Biruk has collected 1 clothing item for the clothing charity drive. José says he will collect 6 items per day. Biruk says he will collect 15 items per day. How many days from Sunday will it take until they have collected the same total number of clothing items for the charity drive?
Answer:
It will take 19 days from Sunday.
Step-by-step explanation:
You can use the equation 172 + 6d = 1 + 15d for this equation. 172 and 1 are how many items Jose and Biruk started with. 6d and 15d represent how many items they get a day. Here's how you can solve the equation:
172 + 6d = 1 + 15d
-6d -6d
172 = 1 + 9d
-1 -1
171 = 9d
÷9 ÷9
19 = d (write it as d = 19)
(When you type the answer, be sure to always put the letter first.)
I need help on this plz i don’t understand the question
We know that the area of a circle in terms of π will be πr². However the area with respect to the diameter will be a different story. The first step here is to find a function relating the area and diameter of any circle --- ( 1 )
For any circle the diameter is 2 times the radius,
d = 2r
Therefore r = d / 2, which gives us the following formula through substitution.
A = π(d / 2)² = πd² / 4
Hence the area of a circle as the function of it's diameter is A = πd² / 4. You can also say f(d) = πd² / 4.
Now we can substitute " d " as 4, solving for the area ( A ) or f(4) --- ( 2 )
f(4) = π(4)² / 4 = 16π / 4 = 4π - This makes the area of circle present with a diameter of 4 inches, 4π.