Answer:
8/27
Step-by-step explanation:
The triplicate ratio of 2:3 is 2^3/3^3 = 8/27
HAVE A GREAT DAY!
Wo tgears one with 15 teeth and other with 20 teeth so the smaller gear rotated 20 times how many times has the larger gear rotated?
The larger gear has rotated approximately 26.67 times when the smaller gear has rotated 20 times.
To determine how many times the larger gear has rotated when the smaller gear has rotated 20 times, we can use the concept of gear ratios.
The gear ratio is defined as the ratio of the number of teeth on the larger gear to the number of teeth on the smaller gear. In this case, the larger gear has 20 teeth, and the smaller gear has 15 teeth.
The gear ratio is calculated as:
Gear Ratio = Number of teeth on larger gear / Number of teeth on smaller gear
In this case, the gear ratio is:
Gear Ratio = 20 / 15 = 4/3
This means that for every 4 rotations of the smaller gear, the larger gear completes 3 rotations.
Therefore, if the smaller gear rotates 20 times, we can calculate the number of times the larger gear has rotated as follows:
Number of rotations of larger gear = (Number of rotations of smaller gear) * (Gear Ratio)
Number of rotations of larger gear = 20 * (4/3)
Number of rotations of larger gear = 80/3
So, the larger gear has rotated approximately 26.67 times when the smaller gear has rotated 20 times.
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The Naturally Made Bath and Body store pays $550 a month for rent and utilities. The average cost for its products to be manufactured is about $3.00 an item. If the average price for a product sold in the store is $5.50, what will the break-even point be?
Answer:
Break-even point is at quantity 220.
Step-by-step explanation:
Given the rent amount that is fixed cost for the store = $550
The average cost of the goods = $3
The average price of the goods = $5.50
Let the total number of break-even items = Q
Thus, total revenue = 5.50 x Q = 5.50Q
At break-even, TR = TC
5.50Q = FC + VC
5.50Q = 550 + 3Q
5.50Q - 3Q = 550
2.50Q = 550
Q = 550 / 2.50
Q = 220
Thus break-even point is at quantity 220.
9) If point B with coordinates (5, 2) is dilated by a scale factor of 3, what will be the coordinates of the image point B'?
Answer
Option A is correct.
B' (15, 6) is the answer.
Explanation
To dilate a given coordinate (x, y) about the origin by a scale factor of n, we will obtain (nx, ny).
So, for the given coordinate (5, 2), dilating by the scale factor of 3, we will obtain
B (5, 2) = B' (5×3, 2×3) = B' (15, 6)
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does anyone this question? thanks.
The angle measures for the quadrilateral in this problem are given as follows:
Two of 162º.Two of 18º.How to obtain the angle measures?By the exterior angle theorem, an internal angle is supplementary with it's respective exterior angle, hence the measure of the top right angle is given as follows:
180 - 8y.
Opposite angles on a quadrilateral are congruent, hence the value of y is given as follows:
180 = 8y = 2y
10y = 180
y = 18.
Consecutive angles on a quadrilateral are supplementary, hence the missing angles are given as follows:
180 - 18 = 162º.
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I need help solving number 8. please show step by step. Solve
Answer:
x=17
Step-by-step explanation:
LM=3x+18
LO=2LM=2(3x+18)=6x+36
LO=9x-15
Set them equal to each other.
6x+36=9x-15
-3x+36=15
-3x=-51
x=17
A cooker is priced at £80 after a 20% reduction from the original price.
Answer: original price: £400
Step-by-step explanation:
20/100 × original price = £80
Original price = £80 ÷ 20/100
= £400
What is the number that should be divided by 20, to get 0.40. Justify your answer.
Answer:
8
Step-by-step explanation:
We know that x/20=.4
To find x multiply both sides by 20
this means that
x=8
Write an expression equivalent to (6y + 4y) - 2y by combining like terms
Here are two spinners (picture attached)
Step-by-step explanation:
you can subtract the spinner a from spinner b and then find the probability
Convert: 2589 millimeters = ______ kilometers
A. 2,589,000,000 km
B. 2,589,000 km
C. 0.002589 km
D. 0.2589km
Answer:
C. 0.002589 km
Step-by-step explanation:
2589/1,000,000
=0.002589
A, B, C, OR D? WILL GIVE BRAINLIST, HURRY!!!
3) Ms. Ramirez has business cards with a design on the card that uses similar parallelograms. Which statement about the parallelograms must be true?
A) They have corresponding angles that are congruent, and the parallelograms are the same shape.
B) They have corresponding sides that are congruent, and the parallelograms are the same shape.
C) They have corresponding angles that are congruent, and the parallelograms are the same size.
D) They have corresponding sides that are congruent, and the parallelograms are the same size.
Josh can run 7 miles in 45 minutes. How long would it take him to run 21 miles?
Answer: 135 minutes
Step-by-step explanation:
45/7= 6.42857142857
6.42857142857 x 21 = 135
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (0,0); y = 2/5x + 8
Answer:
(y-0)=2/5(x-0)
What is the area of the shape for the quilt block? ninety-four and one half in2 one hundred sixty-six and one half in2 189 in2 333 in2
The area of the shape for the quilt block is 166.5 in²
What is an area?The area is the region bounded by the shape of an object. The space covered by the figure or any two-dimensional geometric shape, in a plane, is the area of the shape
Given that, a quilt has blocks of design on it, we need to find the area of the block,
To find the area of the block = sum of the areas of the right triangle and the rectangle,
Area of the block = 16 × 9 + 6 × 7.5 × 1/2 = 166.5 in²
Hence, the area of the shape for the quilt block is 166.5 in²
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The figure is unavailable is the question is solved for the figure attached
In the diagram, roads a and b are parallel.
Solve for x and find the measure of VTU.
Answer:
102
Step-by-step explanation:
<QRT and <VTU are alternate exterior angles, so they are congruent.
m<QRT = m<VTU
x + 40 = 2x -22
62 = x
m<QRT = x + 40 = 62 + 40 = 102
m<VTU = 2x - 22 = 62*2 - 22 = 124 - 22 = 102
angles L and M are supplementary what are the some of their measures?
Answer:
Supplementary angles add upto 180 degrees. Since angles L and M are supplementary, the sum the two angles must be 180 degrees.
Step-by-step explanation:
Suppose that David and his friend Wilson derive utility from consuming two types of snacks: onion rings (q
1
) and chips (q
2
). The utility function for each individual is U(q
1
,q
2
)=q
1
q
2
. Their indifference curves for these two goods are assumed to have the usual (convex) shape. Suppose David has an initial endowment of 35 onion rings and 10 chips, and Wilson's initial endowment consists of 5 onion rings and 20 chips. (1) Draw an Edgeworth box and show the initial allocation of goods, to be labelled e. Indicate the initial quantities of each person's goods on the four axes.
An Edgeworth box is used to represent the initial allocation of goods between David and Wilson based on their endowments of onion rings and chips.
An Edgeworth box is a graphical representation used to analyze the allocation of goods between two individuals.
In this case, we consider David and Wilson's initial endowments of onion rings and chips.
To draw the Edgeworth box, we create a rectangular box where the horizontal axis represents the quantity of onion rings (q1) and the vertical axis represents the quantity of chips (q2). The box is divided into four quadrants, representing the allocation of goods to each individual.
Based on their initial endowments, David has 35 onion rings and 10 chips, while Wilson has 5 onion rings and 20 chips.
We label the initial allocation of goods as point "e" within the Edgeworth box, indicating the quantities of onion rings and chips for each person.
By visually representing the initial allocation in the Edgeworth box, we can analyze the potential for trade and the possibility of mutually beneficial exchanges between David and Wilson based on their preferences and utility functions.
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I've already answered question A but I'm struggling with question B. I am in 7th grade but I do 8th grade math. I need some help.
Tell whether the equation has one, zero, or
infinitely many
solutions
4x-3 = 2x + 13
Someone help plz
Answer:
One solution
Step-by-step explanation:
4x - 3 = 2x + 13
4x − 3 − 2x = 2x + 13 − 2x (subtract 2x from both sides)
2x - 3 = 13
2x − 3 + 3 = 13 + 3 (add 3 to both sides)
2x = 16
2x/2 = 16/2 (dividing 2 from both sides)
x = 8
help pleaseee due tomorrow!?!!
a company had 80 employees whose salaries are summarized in the frequency distribution below. find the standard deviation.
The standard deviation of the salaries for the company's 80 employees is calculated to be X, where X represents the numerical value of the standard deviation.
The standard deviation measures the dispersion or variability of a set of data points. In order to calculate the standard deviation, we need to first find the mean (average) of the salaries. Then, for each salary, we calculate the difference between the salary and the mean, square that difference, and sum up all the squared differences. Next, we divide the sum by the total number of salaries (80 in this case) minus 1 to obtain the variance. Finally, the standard deviation is obtained by taking the square root of the variance. This accounts for the fact that the squared differences are in squared units, while the standard deviation should be in the original units (currency in this case).
By following this process, we can find the standard deviation of the salaries for the 80 employees in the company. This value represents the measure of variability or spread in the salary distribution, providing insights into how salaries deviate from the mean.
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What is the multiplicative rate of change for the exponential function f(x)= 3 (2/3)^-x
A. 0.4
B. 2.5
C. 0.6
D. 1.5
Answer:
C basta Yan ang sagot HAHAHA dko mapicturan solution ko e
Step-by-step explanation:
ano ba yan arte nyo sabing yan ang sagot eAnswer:
c 0.6
Step-by-step explanation:
lol
f(x)=3/5x-4/3 What x value makes f(x)=0
(will give brainliest to whoever answers first)
Answer:
3
Step-by-step explanation:
Verify that the function y = 10 sin(4x) + 25 cos(4x) + 1 is a solution to the equation d²y/dx² +16y= 16.
The function y = 10 · sin 4x + 25 · cos 4x + 1 is a solution to differential equation d²y / dx² +16y= 16.
How to prove that an equation is a solution to a differential equation
Differential equations are expressions that involves functions and its derivatives, a function is a solution to a differential equation when an equivalence exists (i.e. 3 = 3).
In this question we need to prove that function y = 10 · sin 4x + 25 · cos 4x + 1 is a solution to d²y / dx² +16y= 16. First, find the first and second derivatives of the function:
dy / dx = 40 · cos 4x - 100 · sin 4x
dy² / dx² = - 160 · sin 4x - 400 · cos 4x
Second, substitute on the differential equation:
- 160 · sin 4x - 400 · cos 4x + 16 · (10 · sin 4x + 25 · cos 4x + 1) = 16
- 160 · sin 4x - 400 · cos 4x + 160 · sin 4x + 400 · cos 4x + 16 = 16
16 = 16
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14/15+11/15+3/5=
Help
Find the mass m and center of mass x of the thin rod with the following density function. P(x) = 4 for 0 sxs7 49 Set up the integral that gives the mass m. Use increasing limits of integration. m = s dx (Type exact answers.) Evaluate the mass m of the thin rod. m = (Simplify your answer.) Set up the integral that gives the total moment M. Use increasing limits of integration. M= s dx (Type exact answers.) Evaluate the center of mass x of the thin rod. x= (Simplify your answer.)
The mass (m) of the thin rod is 28, and the center of mass (x) is 3.5.
To find the mass (m) and center of mass (x) of the thin rod with the given density function P(x) = 4 for 0 ≤ x ≤ 7, follow these steps:
Set up the integral for mass (m):
m = ∫(density function) dx
Since the density function P(x) = 4, we have:
m = ∫(4) dx from x = 0 to x = 7
Evaluate the mass (m) of the thin rod:
Integrate the function with respect to x and apply the limits of integration:
m = [4x] from 0 to 7
m = (4 * 7) - (4 * 0)
m = 28
Set up the integral for the total moment (M):
M = ∫(x * density function) dx
Using the given density function P(x) = 4:
M = ∫(x * 4) dx from x = 0 to x = 7
Evaluate the center of mass (x) of the thin rod:
First, compute the total moment (M):
M =\([2x^2]\) from 0 to 7
M =\((2 * 7^2) - (2 * 0^2)\)
M = 98
Next, find the center of mass (x) by dividing the total moment (M) by the mass (m):
x = M / m
x = 98 / 28
x = 3.5
So, the mass (m) of the thin rod is 28, and the center of mass (x) is 3.5.
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Magnolia Corporation Issued a $5,000,000 bond on January 1, 2020. The bond has a six year term and pays interest of 9% annually each December 31st. The market rate of interest is 7%. Required: Calculate the bond issue price using the present value tables. Show all your work.
The issue price of the bond is $5,855,885.5.
Principal amount of bond ($): 5,000,000
Term of bond: 6 years
Annual interest rate: 9%
Market rate of interest: 7%
The bond issue price using the present value tables:
The present value of the bond can be calculated using the present value tables.
The formula for calculating the present value of a bond is as follows:
PV of bond = (interest payment) x (PV annuity factor) + (principal amount) x (PV factor)
The present value of a bond is calculated by taking the present value of the interest payments and the present value of the principal amount.
Then we add both of them to get the total present value of the bond.
Let's calculate the present value of the bond using the above formula. The annual interest payments can be calculated by multiplying the principal amount by the interest rate.
Annual interest payment = $5,000,000 x 9% = $450,000.
The bond has a six-year term.
Therefore, the PV annuity factor for six years at 7% interest rate is 4.3553.
The PV factor for the principal amount of $5,000,000 for six years at 7% interest rate is 0.6910.
The present value of the bond can be calculated using the following formula:
PV of bond = (interest payment) x (PV annuity factor) + (principal amount) x (PV factor)
PV of bond = ($450,000) x (4.3553) + ($5,000,000) x (0.6910)PV of bond
= $2,400,885.5 + $3,455,000PV of bond = $5,855,885.5
The present value of the bond is $5,855,885.5.
Therefore, the issue price of the bond is $5,855,885.5.
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Can I please get help with this?
m<TSU=85°
please see the attached picture for full solution
hope it helps..
Good luck on your assignment...
Country A: 100 computers or 100 units of steel
Country B: 20 computers or 80 units of steel
The table above indicates the production alternatives of two countries, A and B, which produce computers and steel using equal amounts of resources. If both countries always produce at full employment, which of the following statements must be correct
When both countries produce at full employment, Country A should focus on producing computers, and Country B should focus on producing steel. This arrangement allows them to maximize their resources and benefit from trade.
Based on the given production alternatives for countries A and B, the correct statement regarding their production of computers and steel at full employment is:
"Country A has a comparative advantage in producing computers, while Country B has a comparative advantage in producing steel."
Here's a step-by-step explanation:
1. Calculate the opportunity cost for each country:
- Country A: To produce 1 computer, they give up 1 unit of steel (100 computers = 100 units of steel).
- Country B: To produce 1 computer, they give up 4 units of steel (20 computers = 80 units of steel).
2. Identify the comparative advantage:
- Country A has a lower opportunity cost for producing computers (1 unit of steel), so they have a comparative advantage in computer production.
- Country B has a higher opportunity cost for producing computers but a lower opportunity cost for producing steel, so they have a comparative advantage in steel production.
Thus, when both countries produce at full employment, Country A should focus on producing computers, and Country B should focus on producing steel. This arrangement allows them to maximize their resources and benefit from trade.
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the perimeter of a square is 28 feet. what is its area in square feet?