Answer:
$68
Step-by-step explanation:
=> 20% 0f 340
=> (20/100) * 340
=> (1/5) * 340
=> (340/5) = 68
Sarah spends $68 dollar on transportation.
Thenks and mark me brainliest :)
A box with a rectangular base and open top must have a volume of 128 f t 3 . The length of the base is twice the width of base. The base needs to be stronger than the sides, so it costs more. The base costs $9 per f t 2 , while the sides only cost $6 per f t 2 . We wish to find the dimensions of the box that minimize the cost of material used.
Answer:
[tex]Width = 4ft[/tex]
[tex]Height = 4ft[/tex]
[tex]Length = 8ft[/tex]
Step-by-step explanation:
Given
[tex]Volume = 128ft^3[/tex]
[tex]L = 2W[/tex]
[tex]Base\ Cost = \$9/ft^2[/tex]
[tex]Sides\ Cost = \$6/ft^2[/tex]
Required
The dimension that minimizes the cost
The volume is:
[tex]Volume = LWH[/tex]
This gives:
[tex]128 = LWH[/tex]
Substitute [tex]L = 2W[/tex]
[tex]128 = 2W * WH[/tex]
[tex]128 = 2W^2H[/tex]
Make H the subject
[tex]H = \frac{128}{2W^2}[/tex]
[tex]H = \frac{64}{W^2}[/tex]
The surface area is:
Area = Area of Bottom + Area of Sides
So, we have:
[tex]A = LW + 2(WH + LH)[/tex]
The cost is:
[tex]Cost = 9 * LW + 6 * 2(WH + LH)[/tex]
[tex]Cost = 9 * LW + 12(WH + LH)[/tex]
[tex]Cost = 9 * LW + 12H(W + L)[/tex]
Substitute: [tex]H = \frac{64}{W^2}[/tex] and [tex]L = 2W[/tex]
[tex]Cost =9*2W*W + 12 * \frac{64}{W^2}(W + 2W)[/tex]
[tex]Cost =18W^2 + \frac{768}{W^2}*3W[/tex]
[tex]Cost =18W^2 + \frac{2304}{W}[/tex]
To minimize the cost, we differentiate
[tex]C' =2*18W + -1 * 2304W^{-2}[/tex]
Then set to 0
[tex]2*18W + -1 * 2304W^{-2} =0[/tex]
[tex]36W - 2304W^{-2} =0[/tex]
Rewrite as:
[tex]36W = 2304W^{-2}[/tex]
Divide both sides by W
[tex]36 = 2304W^{-3}[/tex]
Rewrite as:
[tex]36 = \frac{2304}{W^3}[/tex]
Solve for [tex]W^3[/tex]
[tex]W^3 = \frac{2304}{36}[/tex]
[tex]W^3 = 64[/tex]
Take cube roots
[tex]W = 4[/tex]
Recall that:
[tex]L = 2W[/tex]
[tex]L = 2 * 4[/tex]
[tex]L = 8[/tex]
[tex]H = \frac{64}{W^2}[/tex]
[tex]H = \frac{64}{4^2}[/tex]
[tex]H = \frac{64}{16}[/tex]
[tex]H = 4[/tex]
Hence, the dimension that minimizes the cost is:
[tex]Width = 4ft[/tex]
[tex]Height = 4ft[/tex]
[tex]Length = 8ft[/tex]
What is the mean ? 50, 55, 58, 58, 90, 92, 99
sum of observations
mean =..........................no. of observations
50+55+58+90+58+92+99 502
....................................... = .........= 71.77 7
awnser is 71.7
hope this helpedThe Unit Circle
What is cos 180°?
a. 0
b. 1
c. -1
d. 1/2
Please select the best answer from the choices provided
Answer:
C. -1
Step-by-step explanation:
I calculated it logically
Answer:
-1
Step-by-step explanation:
cos = opp/hyp
At 180º
adj = -1
hyp = 1
Cos 180 = -1/1 = -1
Given that the triangles shown below are similar, what is the value of x? 32 20 H 48M P A. 96 B. 10.7 C. 24 D. 20
Answer:
I DONT SEE TRIANGLES
Step-by-step explanation:
What is the solution set of the system of equations
x+y = 5 and y=x^2- 25?
1) {(0.5) (11,-6)}
2) {(5,0).(-6,11)
3) {(-5,0),(6,11)
4) {(-5,10).(6.-1)
You deposit $800 in an account that pays 3.6% annual interest compounded quarterly. When does your balance first exceed $1200?
Answer:
It would take 4 years. The formula for continuously compounded interest is: where P is the principal, r is the interest rate as a decimal number, and t is the number of years.
Step-by-step explanation:
You deposit $800 in an account that pays 3.6% annual interest compounded quarterly. after 11 years your balance first exceed $1200.
How to find the compound interest?If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
You deposit $800 in an account that pays 3.6% annual interest compounded quarterly.
[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]
[tex]1200 = 800(1 + \dfrac{3.6}{4})^{4t}\\\\300 = (1 + 0.9)^{4t}\\\\t = 11.4[/tex]
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Four less than two times a number is seven times the sum of that number and 8. Which equation
could be used to solve this problem?
1. 4- 2n + 7n = 8
2. 2n - 4 = 7n + 8
3. 2n - 4 = 7(n + 8)
4. 4 - 2n = 7(n + 8)
9514 1404 393
Answer:
3. 2n - 4 = 7(n + 8)
Step-by-step explanation:
Two times a number is 2n. Four less than 2n is (2n-4). The sum of a number and 8 is (n+8). Seven times that sum is 7(n+8). The statement says these values are equal:
2n -4 = 7(n +8)
Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work
Answer:
the volume is 600
Step-by-step explanation:
15*8*5=600
v=w*h*l
i got yelled at for my grandma giving a coney dog at A and W and she got sick is there a way i can cut my dad out of his life
Answer:
this whole sentence confused me a lot
Step-by-step explanation:
yes there is, but it depends on how you want to do it
Answer:
I don't really get what you're implying can you please explain?
Step-by-step explanation:
haha this just really confused me :)
there's a width of 8 in., a length of 20 in., and a height of 12 in.
a) what is the longest poster you could fit in the box? express your answer to the nearest tenth of an inch.
b) explain why you can fit only one maximum-length poster in the box, but you can fit multiple 21.5-inch posters in the same box.
Answer:
a.
Approximately [tex]24.7\; \rm in[/tex].
b.
While there are three diagonals in a box (a rectangular prism,) all three diagonals goes through the same point- the centroid of this box.
For a maximum-length poster to fit in this box, it would have to be on one of the main diagonals of this box. Hence, any maximum-length poster that fits in this box would go through the centroid of this box.
It's not possible to force more than one posters to go through the same point (i.e., the centroid) in space. Hence, it would not be possible to fit a second maximum-length poster into this box.
This argument does not apply to [tex]21.5\; \rm in[/tex] posters. These posters are shorter than the diagonal of this box; they could fit inside the box without having to go through a particular point in space.
Step-by-step explanation:
The longest poster that could be fit into this box (a rectangular prism) would be as long as the longest line segment in this box. That line segment would be one of the three diagonals of this box.
Apply the Pythagorean theorem twice to find the length of that diagonal.
Start by finding calculating the diagonal of the base of this box. The base of this box is a rectangle with width [tex]8\; \rm in[/tex] and length [tex]10\; \rm in[/tex]. The length of its diagonal would be [tex]\sqrt{8^2 + 10^2}[/tex] inches.
Combine that with the height of this box to find the length of the diagonal of this box.
[tex]\begin{aligned}& \sqrt{{\left(\sqrt{8^2 + 10^2}\right)}^2 + 12^2 \\ &= \sqrt{8^2 + 10^2 + 12^2} \\ &\approx 24.7 \end{aligned}[/tex].
Is the equation a linear function?
y = -x + 3
Answer:
x=3
Step-by-step explanation:
y=-x+3
0=-x+3
x=3
Pleaseeee helpppppppp!!!
Answer:
x = 46°
Step-by-step explanation:
Appling the principle of supplementary angle in Geomentry.
Supplementary angle: These are angles that sum up to 180°
From the diagram above, x and 134° are supplementry because they sum up to 180°.
Therefore,
134+x = 180 (Supplementary angle)
Solve for x
x = 180-134
x = 46°
Therefore, the value of the missing angle is 46°
An additional amount of money added to borrowed money only on principal is what kind
of interest?
-Interest rate
-Terms
-Simple Interest
-Compound interest
Answer:
simple interest
Step-by-step explanation:
An additional amount of money added to borrowed money only on the principal could be simple interest.
How to calculate a simple interest amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
Since, the initial amount (also called as principal amount) is P, and the interest rate is R% per unit of time, it is left for T unit of time for that compound interest.
we can conclude that the additional amount of money added to borrowed money only on principal is simple interest.
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Arrange the expressions below in order from least to greatest. Place the least at the top and greatest at the bottom. 72 ÷ 8 − 2 × ( 3 + 1 ) ( 72 ÷ 8 ) − 2 × 3 + 1 72 ÷ ( 8 − 2 ) × 3 + 1 72 ÷ ( 8 − 2 ) × ( 3 + 1 )
72 / 8 - 2 x 3 + 1 equals 1
(72 / 8) - 2 x 3 + 1 equals 4
72 / (8 - 2) x 3 + 1 equals 37
72 / (8 - 2) x (3 + 1) equals 48
Following Add-On Contains the content I think your doing:
The expressions are arranged in ascending order will be 72÷8−2×(3 + 1) > (72÷8)−2×3+1 > 72÷(8−2)×3+1 > 72÷(8−2)×(3+1).
What is ascending order?It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.
The expressions are given below:
72÷8−2×(3 + 1), (72÷8)−2×3+1, 72÷(8−2)×3+1, 72÷(8−2)×(3+1)
Simplify the expression, then we have
72÷8−2×(3 + 1), (72÷8)−2×3+1, 72÷(8−2)×3+1, 72÷(8−2)×(3+1)
9−2×4, 9−6+1, (72÷6)×3+1, (72÷6)×4
1, 2, 37, 48
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I really hope you guys will help me
Answer:
I think its
ai. fx-f3
ii. 5gx
what is the value of the expression ? 11.263 ÷ 11.21
Answer:
1.004728
Step-by-step explanation:
Mark as brainllest
Degree and Radian Measures
Convert the given radian measure to a degree measure.
1.2 /pi (π)
a. -216°
b. 108°
c. 216°
d. -108°
Please select from the best choices provided
Answer:
C. 216°
Step-by-step explanation:
I calculated it logically
Lemonade will be served in 8 oz cups. One pint=16 oz. How many cups of lemonade in 5 gallons
Answer:
80 cups
Step-by-step explanation:
1 gallon = 128 oz
5x128= 640 oz
640/8=80
Suppose that two investors A and B have exhibited the indifference probabilities as shown in table below. Indifference probability Investor A Investor B Net return (RM) -2000 0 0 - 1000 0.70 0.10 0 0.80 0.20 1000 0.85 0.30 2000 0.90 0.50 3000 0.95 0.60 4000 1.00 1.00 a) Determine the utility value (for each monetary value) for each investor and fill it in table above. b) Graph the utility functions for both investors and categorize each investor as either a risk- averse person or a risk seeker. c) Suppose that investor A has the chance to invest in one of two ventures. Venture I can produce a net return of RM3000 with probability 0.40 or a net loss of RM1000 with probability 0.60. Venture II can produce a net return of RM2000 with probability 0.60 and no return with probability 0.40. Based on utility function in (b), use the expected utility criterion to determine the venture investor A should select. What is the expected monetary value associated with the selected venture?
Answer:
Da Answer is Suppose that two investors A and B have exhibited the indifference probabilities as shown in table below. Indifference probability Investor A Investor B Net return (RM) -2000 0 0 - 1000 0.70 0.10 0 0.80 0.20 1000 0.85 0.30 2000 0.90 0.50 3000 0.95 0.60 4000 1.00 1.00 a) Determine the utility value (for each monetary value) for each investor and fill it in table above. b) Graph the utility functions for both investors and categorize each investor as either a risk- averse person or a risk seeker. c) Suppose that investor A has the chance to invest in one of two ventures. Venture I can produce a net return of RM3000 with probability 0.40 or a net loss of RM1000 with probability 0.60. Venture II can produce a net return of RM2000 with probability 0.60 and no return with probability 0.40. Based on utility function in (b), use the expected utility criterion to determine the venture investor A should select. What is the expected monetary value associated with the selected venture?
Step-by-step explanation:
LESSSSSSS GOOOOOOOOOO
It has been observed that some persons who suffer acute heartburn, again suffer acute heartburn within one year of the first episode. This is due, in part, to damage from the first episode. The performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. In order to do this two groups of people suffering a first episode are selected. There are 45 people in the first group and this group will be administered the new drug. There are 75 people in the second group and this group will be administered a placebo. After one year, 12% of the first group has a second episode and 14% of the second group has a second episode. Conduct a hypothesis test to determine, at the significance level 0.1, whether there is reason to believe that the true percentage of those in the first group who suffer a second episode is less than the true percentage of those in the second group who suffer a second episode.
A. [ z < -1.65, RHo].
B. [ z < -1.65 and z > 1.65, FRHo].
C. [z > 1.65, FRHo].
D. [z < -1.65 and z > 1.65, FRHo].
E. [z > -1.65 and z < 1.65, RHo].
F. None of the above.
Answer:
F. None of the above.
Step-by-step explanation:
Let the null and alternate hypothesis be
H0: p1 ≥ p2 against the claim Ha: p1 < p2
the significance level is 0.1
The critical region is z < z∝= 1.28
The test statistic is
Z= ( p^1-p^2)- (p1-p2)/√p1^q1^/n1 + p2^q2^/n2
Here n1= 45 , n2= 75
p1= 0.12 p2= 0.14
q1= 0.88 q2= 0.86
z= 0.12- 0.14/√0.12*0.88/45 +0.14*0.86/75
Z= 0.02/ √0.00235 + 0.00161
Z= 0.02/0.062891
z= 0.318
The calculated value of z= 0.318 lies in the critical region z < 1.28
therefore accept Ha.
All of the options are incorrect as the critical value for one tailed test for 0.1 is 1.28 .
PLEASE HELP I DONT KNOW
Answer:
28 in.
Step-by-step explanation:
Since the right portion of the figure is a square, the unlabeled bottom must be the same as the top or 6 in., therefore just add up the pieces starting on the right side. (5 + 6 + 2 + 5 + 4 + 6 = 28)
Write an equation of a line with slope -4 and y- intercept of 0
Answer:
y=-4x
Step-by-step explanation:
Plz help find the rule 50 points
Answer:
1², 2²,3², 4², 5², 6², 7², 8², 9², 10², 11², 12², 13², 14², 15², 16², 17², 18², 19², 20²,........
Each number is multiplied by itself.
the minute hans on the clock shown below has a length of 7.5 cm. which of the following is closest to the distance that the tip of the hand travels as it moves from 12 to 4
Answer:
16
Step-by-step explanation:
The following is closest to the distance that the tip of the hand travels as it moves from 12 to 4 should be considered as the 16 cm.
Calculation of the distance:
Since the minute hans on the clock shown below has a length of 7.5 cm
And, the tip of the hand travels as it moves from 12 to 4
So,
For full rotation it should be like [tex]2\pi[/tex] radians
Since angle turned by minute hand in 5 minutes so it should be like [tex]= 2\pi \div 12[/tex] radians
So
[tex]= 7.5 \times 2.094[/tex]
= 15.7 cm
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A b c or d?? Lmk..Brainly
Answer:
28.3 (b)
Step-by-step explanation:
To solve circumference, you will need to use the equation C = 2 *pi* r
for this, we will use 3.14 for pi and the radius is 4.5 so this is how we need to solve it
C= 2 pi (4.5) Solve 2*4.5
C= 9 pi Now we input 3.14 for pi and multiply
C= 9(3.14)
C= 28.26 Now we round to the nearest tenth to get
C=28.3
round 98,376 to the nearest thousand
Answer:
98000
Step-by-step explanation:
Simplify.
4^3•4^-6
A. 1/4^3
B. 1/4^9
C. 1/4^18
D. 4^3
Answer:
A
Step-by-step explanation:
This can be rearranged as 4^3 * 1/(4^6)
or (4^3)/(4^6)
This can be changed to:
(4^3)/((4^3)*(4^3)
Which is equal to 1/(4^3)
or
4^(-3)
Leta has $45 in her account in May. How much money does she have in her account in August
Between which x-values and y-values does the cluster lie?
Answer:
Here is the picture
Step-by-step explanation:
The number lies between x-values 4 and 6 and y-values 6 and 9.
What are coordinates?Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.
Given that scatter plot lies in quadrant 1 of a coordinate plane, and the 14 points are plotted in the first quadrant.
We need to find the range of x and y values for this scatter plot.
The x values of the 14 points are given as;
2, 4, 4,1, 5, 5, 5, 5, 6, 6, 7, 8, 9.5, 9.5
The y values of the 14 points are given as;
5, 6, 9, 7.2, 6, 6.8, 8, 9, 7, 8.5, 10, 10.5, 9.5, 11.4
We can conclude that that most of the points are clustered between x-values 4 and 6 and y-values 6 and 9.
Therefore, the points are clustered between the x-values 4 and 6 and y-values 6 and 9.
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The complete question is
Select the correct answer. Scatter plot in quadrant 1 of a coordinate plane. 14 points are plotted at (2, 5), (4, 6), (4, 9), (4.1, 7.2), (5, 6), (5, 6.8), (5, 8), (5, 9), (6, 7), (6, 8.5), (7, 10), (8, 10.5), (9.5, 9.5), and (9.5, 11.4). Between which x-values and y-values does the cluster in this scatter plot lie? A. It lies between x-values 2 and 4 and y-values 4 and 6. B. It lies between x-values 4 and 6 and y-values 9 and 10. C. It lies between x-values 4 and 6 and y-values 6 and 9. D. It lies between x-values 7 and 9 and y-values 10 and 11.
The makers of MaxGrow want to ensure customers that their product will work under a wide variety of conditions such as a variety of watering conditions (no added water or watering daily) and how much fertilizer was used (no fertilizer, half fertilizer, or full fertilizer). The researchers randomly choose which group each tomato plant will be assigned to. At the end of the experiment, the number of tomatoes picked from each tomato plant is recorded.
a. Identify the subjects.
b. Explanatory variables
c. Treatments
d. Response variable
Answer:
Subject : Tomato plant
Explanatory variables : Watering condition ; Fertilizer addition
Treatment : daily watering ; half fertilizer ; full fertilizer
Response variable = Number of tomato picked
Step-by-step explanation:
Subjects are the individuals, animals or plants upon which treatment is applied. The subject here are the tomato plants
The Explanatory variables are the independent variables upon which we want base the variation of the dependent variable. The Independent variables are the watering condition a d the amount of fertilizer added.
Treatment : These are the actual changes made or applied on the subject, they include, daily watering, full or half fertilizer application.
Response variable : The number of tomatoes picked. This is also called the dependent variable, it is the outcome which may be due to the effect of the independent variable.