The weight of each bag is 0.545 lb .
What is weight ?Weight in maths is the value of the mass of an object on a measuring scale , It is measured in pound , ounce , kilogram etc.
It is given that
Total weight of green grapes = 5.65 lb
Total weight of red grapes = 3.07lb
Total weight = 5.65 +3.07 = 8.72 lb
Total number of bags = 16
the weight of each bag
= 8.72 / 16
= 0.545 lb
Therefore the weight of each bag is 0.545 lb .
The complete question is
Emilio bought 5.65lb of green grapes and 3.07lb of red grapes. He divided the grapes equally into 16 bags. If each bag of grapes has the same weight, how much does each bag weigh?
To know more about Weight
https://brainly.com/question/10069252
#SPJ1
6:
Dana's phone has zero battery. After charging her phone for 1 minute, it has
2% battery. After 2 minutes, her phone has 6% battery. Based on this, predict
the number of minutes it will take for Dana to charge her phone's battery so
that it has 50% power and 90%power
Step-by-step explanation:
charging the phone for 1 minute ,it has 2%
i.e,1----->2
After 2 minutes from that time ,i.e total 3 minutes
it has 6% charge
i.e,3--------->6
from the both the above cases ,1 minute provide 2%=6/3
=2
Hence,
for getting 50%charge=50/2
=25 min
and,for 90 %charge=90\2
=45 min
There was 320 hamburgers and cheeseburgers sold combined there were three times the cheeseburgers sold as hamburgers how many hamburgers were sold
Answer:
240
Step-by-step explanation:
h+c=320
c=3h ( since 3 times the cheeseburger)
Now plug in 3h for C
h+3h=320 = 4h=320
Now divide 320 by 4 to get "h" alone
h=80
now plug 80 back t the eqation of c=3h
so now it is...
c=3 x 80
which is 240
so ur andswer is 240
Which graph shows the image of the triangle reflected across the line of reflection shown? On a coordinate plane, a triangle has points (2, 4), (4, 2), (9, 6). A line of reflection is at y = 3.
The triangle with points at (2, 4), (4, 2), (9, 6) was reflected across the line y = 3 to get the points (2, 2), (4, 4), (9, 0)
What is a transformation?Transformation is the movement of a point from its initial point to a new location. Types of transformation are reflection, rotation, translation and dilation.
The triangle with points at (2, 4), (4, 2), (9, 6) was reflected across the line y = 3 to get the points (2, 2), (4, 4), (9, 0)
Find out more on transformation at: https://brainly.com/question/4289712
#SPJ1
U.S. Customary unit conversion with mixed number values: One... A cook needs 7 cups of vegetable stock for a soup recipe. How much is this in pints? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.
The pints of vegetable stock the chef needs is [tex]3\frac{1}{2}[/tex].
How many pints does he need?The first step is to determine the unit of conversion of cups to pints.
1 cup = 0.5 pints
To convert cup to pints, multiply 7 by 0.7
7 x 0.5 = 7/2 = [tex]3\frac{1}{2}[/tex]
To learn how to convert units, please check: https://brainly.com/question/25993533
#SPJ1
The table shows the probability of randomly picking each flavor of candy from a bowl.
Which flavour is most likely to be randomly picked? PLS EXPLAIN FOR BRAINLEST
A.butterscotch
B.lemon
C.maple
D.strawberry
IMAGE BELOW
Answer:
A. butterscotch
Step-by-step explanation:
The flavor of candy that is most likely to be picked is the flavor with the highest probability.
To find the highest probability, order the decimals from smallest to largest. When ordering decimal numbers, always compare the digits immediately after the decimal point first, i.e. the 'tenth place'.
Therefore, from inspection of the table, the probabilities in order of smallest to largest are: 0.095 < 0.125 < 0.21 < 0.57
So the flavor with the highest probability of 0.57, and therefore the flavor that is most likely to be picked, is butterscotch.
Here
P(Butterscotch)=0.57P(Lemon)=0.095P(maple)=0.125P(strawberry)=0.21As butterscotch has highest probability it is most likely to be randomly picked
A particle moves along line segments from the origin to the points (3, 0, 0), (3, 5, 1), (0, 5, 1), and back to the origin under the influence of the force field F(x, y, z) = z2i + 5xyj + 2y2k. Find the work done.
Parameterize each line segment from [tex](x_0,y_0,z_0)[/tex] to [tex](x_1,y_1,z_1)[/tex] by
[tex]\vec r(t) = (1-t) (x_0\,\vec\imath + y_0\,\vec\jmath + z_0\,\vec k) + t (x_1\,\vec\imath + y_1\,\vec\jmath + z_1\,\vec k[/tex]
with [tex]0\le t\le1[/tex]. The work done by [tex]\vec F[/tex] on the particle along each segment is given the line integral of [tex]\vec F[/tex] with respect to that segment,
[tex]\displaystyle \int_{C_i} \vec F \cdot d\vec r = \int_0^1 \vec F(\vec r_i(t)) \cdot \dfrac{d\vec r_i(t)}{dt} \, dt[/tex]
• (3, 0, 0) to (3, 5, 1)
[tex]\vec r_1(t) = 3\,\vec\imath + 5t\,\vec\jmath + t\,\vec k[/tex]
[tex]W_1 = \displaystyle \int_0^1 \left(t^2\,\vec\imath + 75t\,\vec\jmath + 50t^2\,\vec k\right) \cdot \left(5\,\vec\jmath + \vec k\right) \, dt \\\\ ~~~~~~~~ = \int_0^1 (375t + 50t^2) \, dt = \frac{1225}6[/tex]
• (3, 5, 1) to (0, 5, 1)
[tex]\vec r_2(t) = 3(1-t)\,\vec\imath + 5(1-t)\,\vec\jmath + \vec k[/tex]
[tex]W_2 = \displaystyle \int_0^1 \left(\vec\imath + 75(1-t)\,\vec\jmath + 50 \,\vec k\right) \cdot \left(-3\,\vec\imath - 5\,\vec\jmath\right) \, dt \\\\ ~~~~~~~~ = -3 \int_0^1 \,dt = -3[/tex]
• (0, 5, 1) to (0, 0, 0)
[tex]\vec r_3(t) = 5(1-t)\,\vec\jmath + (1-t)\,\vec k[/tex]
[tex]W_3 = \displaystyle \int_0^1 \left((1-t)^2\,\vec\imath + 50(1-t)^2\,\vec k\right) \cdot \left(-5\,\vec\jmath - \vec k\right) \, dt \\\\ ~~~~~~~~ = \int_0^1 (-50 + 100t - 50t^2) \, dt = -\frac{50}3[/tex]
Then the total work done by [tex]\vec F[/tex] on the particle is
[tex]W = W_1 + W_2 + W_3 = \boxed{\dfrac{369}2}[/tex]
The Raattama Corporation had sales of $3.0 million last year, and it earned a 5% return (after taxes) on sales. Recently, the company has fallen behind in its accounts payable. Although its terms of purchase are net 30 days, its accounts payable represent 50 days' purchases. The company's treasurer is seeking to increase bank borrowing in order to become current in meeting its trade obligations (that is, to have 30 days' payables outstanding). The company's balance sheet is as follows (in thousands of dollars):
Cash $100 Accounts payable $600
Accounts receivable 300 Bank loans 700
Inventory 1,400 Accruals 200
Current assets $1,800 Current liabilities $1,500
Land and buildings 600 Mortgage on real estate 700
Equipment 600 Common stock, $0.10 par 300
Retained earnings 500
Total assets $3,000 Total liabilities and equity $3,000
How much bank financing is needed to eliminate the past-due accounts payable? Enter your answer as a positive value. Do not round intermediate calculations. Enter your answer in dollars. For example, an answer of $1.23 thousand dollars should be entered as 1,230, not 1.23. Round your answer to the nearest dollar.
$
Assume that the bank will lend the firm the amount calculated in part a. The terms of the loan offered are 8%, simple interest, and the bank uses a 360-day year for the interest calculation. What is the interest charge for 1 month? (Assume there are 30 days in a month.) Enter your answer as a positive value. Do not round intermediate calculations. Enter your answer in dollars. For example, an answer of $1.23 thousand dollars should be entered as 1,230, not 1.23. Round your answer to the nearest dollar.
$
Now ignore part b and assume that the bank will lend the firm the amount calculated in part a. The terms of the loan are 7.6%, add-on interest, to be repaid in 12 monthly installments. Enter your answers as positive values. Do not round intermediate calculations.
What is the total loan amount? Enter your answer in dollars. For example, an answer of $1.23 thousand dollars should be entered as 1,230, not 1.23. Round your answer to the nearest dollar.
$
What are the monthly installments? Enter your answer in dollars. For example, an answer of $1.23 thousand dollars should be entered as 1,230, not 1.23. Round your answer to the nearest dollar.
$
What is the APR of the loan? Round your answer to two decimal places.
%
What is the effective rate of the loan? Round your answer to two decimal places.
%
Would you, as a bank loan officer, make this loan? Why or why not?
I. No, because bank borrowings are already high and the liquidity situation is poor.
II. Yes, because bank borrowings are low and the liquidity situation is good.
III. Yes, because net profit is sufficient to cover the monthly installment.
-Select-
Answer:
Step-by-step explanation:
6.-Un alambre de cobre se enrrolla en forma de celenoide sobre un nucleo de hierro de 6 cm. de diametro y 20 cm. de largo.Si la bobina tiene 600 espiras y la permeabilidad magnetica del hierro es de 1.8 x 10-3 Wb/Am,calcula la inductancia de la bobina
Answer:
vhggghkhy
Step-by-step explanation:
ggggggggghgghggggggggggggggggggggggggggggggggggg jjhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
If f(x) = 4x-x², find
square root f(3/2)
Answer:
[tex]\frac{\sqrt{15} }{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{f(\frac{3}{2} )[/tex] , substitute [tex]\frac{3}{2}[/tex] to x
[tex]f(\frac{3}{2} )=4(\frac{3}{2} )-(\frac{3}{2} )^2[/tex] = [tex]\frac{15}{4}[/tex] or 3.75
[tex]\sqrt{f(\frac{3}{2} )[/tex]=[tex]\sqrt{3.75}[/tex] = [tex]\frac{\sqrt{15} }{2}[/tex]
You want to invest your money in an interest bearing account. One account earns 5% interest compounded twice annually and another account that earns 5% simple interest. Compare options and analyze which (if any) option is better. Explain how you arrived at your answer. Use numbers and calculations to provide evidence for your response. Answer in complete sentences.
The option that is better is that compounded twice annually with 61.5 interest than the simple interest for 60.
What is Simple Interest?Simple interest is the amount obtained from a money invested or loaned over a specific period of time with a specific interest rate.
Analysis.
Let the principal to be used be 600
Compound interest compounded annually twice, which means the tenor of interest is two years.
first year interest
I = PRT/100
P= 600, R = 5%, T = 1
I = 600 x 5 x 1/ 100 = 30
Principal for second year = principal first year + interest
= 600 + 30 = 630
interest for second year = 630 x 5 x 1/ 100 = 31.5
Compound interest = 30+31.5 = 61.5
For simple interest, duration is 2 years,
I = PRT/100
I = 600 x 5 x 2/100 = 60
In conclusion, The account that earns 5% compounded twice annually is the better one since it accrues more interest.
Learn more about simple interest: brainly.com/question/20690803
#SPJ1
What is 1.54x10^28 not in scientific notification form
The expression 1.54x10^28 not in scientific notation form is 15400000000000000000000000000
How to rewrite the expression in scientific notification form?The expression is given as:
1.54x10^28
Evaluate the product
1.54x10^28 = 15400000000000000000000000000
Hence, the expression 1.54x10^28 not in scientific notation form is 15400000000000000000000000000
Read more about scientific notation form at:
https://brainly.com/question/5756316
#SPJ1
What is 2.75% as a fraction in simplest form
Hello,
2,75 % = 2,75/100 = (2,75 × 100)/(100 × 100) = 275/10000 = 11/400
The owner of Brookstone coffee has 13 regular full-time employees. 7 are female and 6 are male. As he plans the schedule, he likes to ensure exactly two employees on any given shift are male. If 5 work a shift, how many combinations can be created?
Using the combination formula, it is found that 525 combinations can be created.
The order in which the employees are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem:
3 female employees are chosen from a set of 7.2 male employees are chosen from a set of 6.Then the number of combinations is given by:
[tex]n = C_{7,3}C_{6,2} = \frac{7!}{3!4!} \times \frac{6!}{2!4!} = 525[/tex]
More can be learned about the combination formula at https://brainly.com/question/25821700
#SPJ1
z-4/4+8= z + 9, z - 3, z - 7, z + 7
The values of the expressions are -17/3, -29/3 and 13/3
How to solve the expressions?The equation is given as:
z-4/4+8= z + 9
Rewrite properly as
[tex]\frac{z-4}{4}+8= z + 9[/tex]
Subtract 8 from both sides
[tex]\frac{z-4}{4}= z + 1[/tex]
Multiply through by 4
z - 4 = 4z + 4
Evaluate the like terms
3z = -8
Divide by 3
z = -8/3
Substitute z = -8/3 in z - 3, z - 7 and z + 7
z - 3 = -8/3 - 3 = -17/3
z - 7 = -8/3 - 7 = -29/3
z + 7 = -8/3 + 7 = 13/3
Hence, the values of the expressions are -17/3, -29/3 and 13/3
Read more about expressions at:
https://brainly.com/question/723406
#SPJ1
The door on a model building is 2 inches tall. The door on the actual building is 8 feet tall.
What was the scale used?
01:24
Answer:
the scale factor is either 4 or 1/4 depending if you are going from the model to the actual or the actual to the model.
Step-by-step explanation:
s= scale factor
2s = 8 Divide both sides by 2
x = 4
If I do the other way:
8s = 2 Divide both sides by 8
s = 1/4
Six bleeps equal 13 floops, and 2 floops equal 5 geebles. Based on this, 1 bleep is equal to N geebles. The integer closest to N is
A. 1
B. 2
C. 3
D. 4
E. 5
Answer:
E. 5
Step-by-step explanation:
Define the variables:
Let b = bleepsLet f = floopsLet g = geeblesGiven information:
Six bleeps equal 13 floops2 floops equal 5 geeblesUse the given information and the defined variables to create two equations:
[tex]\implies \sf 6b = 13f[/tex]
[tex]\implies \sf 2f = 5g[/tex]
Rewrite the second equation to isolate f:
[tex]\implies \sf \dfrac{2f}{2}=\dfrac{5g}{2}[/tex]
[tex]\implies \sf f = 2.5g[/tex]
Substitute this into the first equation to get an expression with just bleeps and geebles:
[tex]\implies \sf 6b = 13(2.5g)[/tex]
[tex]\implies \sf 6b = 32.5g[/tex]
Finally, divide both sides by 6 to isolate b:
[tex]\implies \sf \dfrac{6b}{6}=\dfrac{32.5g}{6}[/tex]
[tex]\implies \sf b=5.42g\;(2\:d.p.)[/tex]
Round 5.42 to the nearest integer → 5
Therefore, N = 5
Step-by-step explanation:
Solve from the least onwards
2floops are 5geebles1 floop is 5/2geeblesThen
13floops are 65/2geeblesSo
6bleeps are 65/2geebles1 bleep is 65/12=5.45 is correct most
Option E
the the area of a rectangle with perimeter 40 cm and 75 cm square find the length and width of the rectangle
Answer: 15cm and 5cm
Step-by-step explanation:
A rectangle's area is the product of the length and width
Given length x and width y, 2x+2y = 40 and x*y = 75.
Verifying my answer:
2(15)+2(5) = 40
30+10 = 40
40 = 40
15*5 = 75
75= 75
This is a week late so I hope this helped.
The length and the width of the rectangle are 15cm and 5cm respectively
How to find the length and width of the rectangle?The given parameters are:
Area (A) = 75
Perimeter (P) = 40
The area of a rectangle is LW, while the perimeter is 2(L + W)
So, we have:
LW = 75
2(L + W) = 40
Divide by 2
L + W = 20
Make L the subject
L = 20 - W
Substitute L = 20 - W in LW = 75
(20 - W)W = 75
Expand
20W - W^2 = 75
Rewrite as:
W^2 - 20W + 75 = 0
Expand
W^2 - 15W - 5W + 75 = 0
Factorize
(W - 15)(W -5) = 0
Split
W - 15 = 0 or W - 5 = 0
Solve for W
W = 15 or W = 5
Recall that:
L= 20 - W
So, we have
L = 20 - 15 or L = 20 - 5
This gives
L = 5 or L = 15
Hence, the length and the width of the rectangle are 15cm and 5cm respectively
Read more about areas at:
https://brainly.com/question/11957651
#SPJ1
A storage bin has the shape of a cylinder with a conical top. What is the volume of the storage bin if its radius is
r
=
5.7
ft, the height of the cylindrical portion is
h
=
7.5
ft, and the overall height is
H
=
15.9
ft?
The volume of the storage bin given the radius and heights is 1050.79ft³.
What is the volume of the storage bin ?The volume of the storage bin is the sum of the volume of the cylinder and the cone. A cylinder is a three-dimensional object that is made up of a prism with a circular base.
Volume of a cylinder = πr²h
Where:
π = 3.14r = radiush = height3.14 x 5.7² x 7.5 = 765.14 ft³
A cone is a three dimensional object that tapers from its circular base to its apex.
Volume of a cylinder = 1/3πr²h
Where:
π = 3.14r = radiush = height : 15.9 - 7.5 = 8.4 ft1/3 x 3.14 x 5.7² x 8.4 = 285.65 ft³
Volume of the container = 285.65 ft³ + 765.14 ft³ = 1050.79ft³
To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219
#SPJ1
Whats the corect answer answer asap for brainlist
Answer:
water pollution or any one of them.
Step-by-step explanation:
Technically, these are all issues in the Netherlands.
However, based on a statista opinion chart of Netherland concerns, the biggest concern at the moment is pollution.
So, picking any of these might work because they are all issues - but I found that the environmental one is most likely to be correct.
Answer:
Water pollution
Explanation:
"Crime (48 percent) and environmental pollution (45 percent) are most often seen as (very) serious problems." - cbs
Two Ferris wheels are side-by-side are rotating at the Math Fair. The first Ferris wheel has a radius of 7m and makes one complete revolution every 16 s. The bottom of the wheel is 1.5 m above ground. The second Ferris has a radius of 8m and completes one revolution every 20 s. The bottom of this wheel is 2 m above the ground. What are the equations of both Ferris wheels using sine as the base function? Graph each equation and estimate the times where the heights of a gondola are the same.
The heights of the gondola are the same at 8.019 seconds and 26.446 seconds
How to determine the equation of the functions?Ferris wheel 1
The given parameters are:
Radius, r = 7 mTime, t = 16 sHeight above the ground, h = 1.5 mThe above means that:
Amplitude, A = 7Period, T = 16Minimum = 1.5The sine function is represented as:
y = Asin(2π/T)t + c
Where
c = Amplitude - Minimum
c = 7 - 1.5
c = 5.5
So, we have:
y = 7sin(2πt/16) + 5.5
y = 7sin(πt/8) + 5.5
Shift to the left by π/2
y = 7sin(πt/8 - π/2) + 5.5
Ferris wheel 2
The given parameters are:
Radius, r = 8 mTime, t = 20 sHeight above the ground, h = 2 mThe above means that:
Amplitude, A = 8Period, T = 20Minimum = 2The sine function is represented as:
y = Asin(2π/T)t + c
Where
c = Amplitude - Minimum
c = 8 - 2
c = 6
So, we have:
y = 8sin(2πt/20) + 6
y = 8sin(πt/10) + 6
Shift to the left by π/2
y = 8sin(πt/10 - π/2) + 6
Hence, the equations of the wheels are y = 7sin(πt/8 - π/2) + 5 and y = 8sin(πt/10 - π/2) + 6
See attachment for their graphs
When they have the same heightsFrom the attached graph, we have:
f(x) = g(x) = 12.5 at x = 8.019
f(x) = g(x) = 9.511 at x = 26.446
Hence, the heights of the gondola are the same at 8.019 seconds and 26.446 seconds
Read more about sine functions at:
https://brainly.com/question/12015707
#SPJ1
21:28 simpleest form
Answer:
3:4
Step-by-step explanation:
If you divide both sides by 7, you shall get 3:4
Use any convenient method to solve the following system of equations. If the system is dependent, express the solution set in terms of one of the variables. Leave all fractional answers in fraction form.
2x−2y+6z=163x+3y−4z=−5x−y+3z=9
For a solution to be the solution to a system, it must satisfy all the equations of that system. There exists no solution for the system of equations.
What is a solution to a system of equations?For a solution to be the solution to a system, it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at a single point(as we need a common point, which is going to be the intersection of course)(this can be one or many, or sometimes none)
For the three equations,
2x−2y+6z=16
3x+3y−4z=−5
x−y+3z=9
Solve the first equation for x,
2x−2y+6z=16
x = 8 + y - 3z
Now substitute the value of x in both the equations, if the two equations are satisfied, then the equation will have a solution, if it's not then no solution exists.
[tex]3\left(8+y-3z\right)+3y-4z=-5\\6y-13z+24=-5\\\\\\ 8+y-3z-y+3z=9\\ 8=9[/tex]
Hence, There exists no solution for the system of equations.
Learn more about the System of equations:
https://brainly.com/question/12895249
#SPJ1
Giving brainliest to first correct answer
Answer:
C
Step-by-step explanation:
The area of a rectangle is lw or length * width.
We can add the parts to make up the whole of each side.
Thus, for the entire width, we have 4x+3 and for the entire length we have 8 + 5x.
To solve for area in terms of x, we just multiply our width and length, which gives us:
[tex](4x+3)(8+5x)\\32x+20x^2+24+15x\\20x^2+47x+24[/tex]
A famous painting was purchased for $560,000 in the year 2021. The value has been increasing by $8,000 per year.
The price of a painting in the year 2022 will be $ 568,000.
What is inflation?A rise in the amount of a certain product or service is known as inflation.
Given data;
Cost of painting in the year 2021, P₁ = $560,000
Cost of painting in the year 2022, P₂ =?
The amount increases every year,x = $8,000
The cost of painting in the year 2022 is found as;
P₂ = P₁ + x
P₂= $560,000 + $8,000
P₂ = $ 568,000
Hence the price of a painting in the year 2022 will be $ 568,000.
To learn more about inflation refer;
https://brainly.com/question/19263433
#SPJ1
A satellite orbits earth at a speed of 14100 feet per second
(ft/s). Use the following facts to convert this speed to
miles
per hour (mph).
1 mile = 5280 ft
1 min = 60 sec
1 hour = 60 min
Answer:
≈ 9613.64 mph
Step-by-step explanation:
First we convert ft/s to ft/hr.
14100 ft/s*3600 = 50,760,000 ft/hr
Now we convert the feet to miles.
50,760,000 ft/hr ÷ 5280 ≈ 9613.64 mph
So in conclusion, 14100 ft/s is approximately 9613.64 mph.
please answer! thanks
Answer:
The third option. he didnt make a mistake
Step-by-step explanation:
Answer:
Gabi did not make a mistake.
Step-by-step explanation:
To find j, Gabi needs to multiply both sides of the equation by 10. 80*10 = 800, so therefore j = 800. Both steps are correct.
117 Mr. Turtle, Mrs. Squirrel and Ms. Pigeon work at the Magic Forest's post office. Mr. Turtle can
deliver a package from the Southern Glade to the Northern Glade in 3 days, while Ms. Pigeon can
deliver it in 30 minutes. How much time will the same job take Mrs. Squirrel, if the ratio of Mr.
Turtle's time to the Mrs. Squirrel's time is the same as the ratio of Mrs. Squirrel's time to Ms.
Pigeon's time?
Using proportions, it is found that the same job will take Mrs. Squirrel 6 hours.
What is a proportion?
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The times are given as follows:
Mrs. Squirrel: x.Mr. Turtle: 3 days.Mr. Pigeon: 30 minutes = Half an hour = 1/48 day.The ratios are as follows:
Turtle/Squirrel = Squirrel/Pigeon.
Hence:
[tex]\frac{3}{x} = \frac{x}{\frac{1}{48}}[/tex]
[tex]x^2 = \frac{3}{48}[/tex]
[tex]x^2 = \frac{1}{16}[/tex]
[tex]x = \sqrt{\frac{1}{16}}[/tex]
x = 1/4.
It takes 1/4 of a day for Mrs. Squirrel to do the job, hence 1/4 x 24 hours = 6 hours.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Use the given value of sin theta to find the approximate value of cos theta in the quadrant indicated.
sin theta = -0.906, 3pi/2 < theta < 2π
The approximate value of cos theta in the quadrant indicated is 0.4232
Trigonometry expressionsGiven the expression below;
sin theta = -0.906
Determine the value of theta
sin theta = -0.906
theta = arcsin(-0.906)
theta = -64.95 degrees
In the 4th quadrant;
theta = 360 - 64.95
theta = 295.04 degrees
Determine the value of cosine theta
Cos theta = cos 295.04
cos theta = 0.4232
Hence the approximate value of cos theta in the quadrant indicated is 0.4232
Learn more on trigonometry identity here: https://brainly.com/question/20094605
#SPJ1
Julia has a role in the school play. She recorded the amount of time she practiced her lines each day this week in the table below. On Tuesday, she practiced 2/3 of the time that she practiced on Wednesday. She practiced 5/6 hours on Wednesday.
Using proportions, it is found that the number of hours for which she practiced her role on Tuesday is:
[tex]\frac{5}{9}[/tex]
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
On Wednesday, she practiced 5/6 of an hour, and on Tuesday she practiced 2/3 of Wednesday's amount, hence the number of hours she practiced on Tuesday was of:
[tex]n = \frac{5}{6} \times \frac{2}{3} = \frac{10}{18} = \frac{5}{9}[/tex].
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
use the m=y2-y1/x2-x1 to find the slope of the line that goes through each pair of points A.(5,7) and (-4,-2) B.(1,3) and (1,-10)
The required slope of A is 1 or Ф = 45° and for B is infinte or Ф = 90°
use the m=y2-y1/x2-x1 to find the slope of the line that goes through each pair of points A.(5,7) and (-4,-2) B.(1,3) and (1,-10)
What is slope?
slope is define as the angle at which line is inclined and for draw tangent over a curve.
m=y2-y1/x2-x1
For, A (5, 7),(-4, -2)
m=-2-7/-4-5
m=1
or TanФ=1
Ф = 45°
For, B(1, 3), (1,-10)
m=-10-3/1-1
m= ∞ or Ф = 90°
Thus the required slope of A is 1 or Ф = 45° and for B is infinte or Ф = 90°
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ1