Answer:
[tex]\dfrac{dA}{ds}=20[/tex]
Step-by-step explanation:
Given that,
The area of a square is given by :
A = s² ....(1)
Where
s is the side of the square.
Differentiating (1) wrt s.
[tex]\dfrac{dA}{ds}=\dfrac{d}{ds}(s^2)\\\\\dfrac{dA}{ds}=2s[/tex]
Put s = 10 in the above equation.
[tex]\dfrac{dA}{ds}=2\times 10\\\\=20\ units[/tex]
So, the rate of change of the area of a square is 20 units
what is the answer to this?
Answer:
This is the answer:
330550=
FIND EACH ANGLE MEASURE.
FIGURES ARE NOT DRAWN TO SCALE.
Answer: See explanation
Step-by-step explanation:
M1 49
M2 22
M3 27
M4 63
M5 68
M6 22
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Wk 2 - Practice: WK 2 Exercises (due Day 5)
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12
The number of Internet users in Latin America grew from 40.8 million in 2009 to 85.6 million in 2016. Use the geometric mean to find
the annual growth rate. (Round your answer to 2 decimal places.)
2
points
Mean annual growth rate
S 02 21:50
References
Choose A B C or D
State if the triangles in each pair are similar. If so, state how you
know they are similar
A) similar; SAS similarity
C) not similar
B) similar; SSS similarity
D) similar, AA similarity
Answer:
Option D
Step-by-step explanation:
From the picture attached,
m∠K ≅ m∠C [Given]
m∠L = m∠D [Given]
By AA property of similarity,
Both the triangles ΔDEC and ΔLMK are the similar triangles.
Option D will be the correct option.
A 50% coupon was used on a $365 online order. How
much was the order?
Answer:
$182.5
Step-by-step explanation:
365/2= 182.5
Answer:
$182.50
Step-by-step explanation:
365/2 = 182.5
Find the slope of a line going through the two points (10, -6) and (3, 9).
Answer:
-15/7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-(-6))/(3-10)
m=(9+6)/-7
m=15/-7
Wavelength and Frequency
Which component in a musical note is referred to as the pitch of a sound?
a. wavelength
b. frequency
c. time
d. distance
Please select the best answer from the choices provided
Answer:
B. Frequency
Step-by-step explanation:
I calculated it logically
please solve and show steps I don't know how to solve this
Answer:
plug 3 into the equation:
y = 1/3(3) + 1
= 1 + 1
= 2
A lab assistant needs to create a 600 mL mixture that is 3% hydrochloric acid. The
assistant has solutions of 1.5% and 4% in supply at the lab. Using the variables x and
y to represent the number of milliliters of the 1.5% solution and the number of
milliliters of the 4% solution respectively, determine a system of equation that
describes the situation.
Enter the equations below separated by a comma.
How many milliliters of the 1.5% solution should be used?
How many milliliters of the 4% solution should be used?
Answer:
240 ml of 1.5% solution and 360 ml of 4% solution should be used.
Step-by-step explanation:
Since a lab assistant needs to create a 600 mL mixture that is 3% hydrochloric acid, and the assistant has solutions of 1.5% and 4% in supply at the lab, to determine the number of milliliters of the 1.5% solution and the number of milliliters of the 4% solution that must be used, the following calculations must be performed:
50 x 0.015 + 50 x 0.04 = 0.75 + 2 = 2.75
40 x 0.015 + 60 x 0.04 = 0.6 + 2.4 = 3
600 x 0.4 = 240
Therefore, 240 ml of 1.5% solution and 360 ml of 4% solution should be used.
A brochure from the department of public safety in a northern state recommends that motorists should carry 12 items (flashlights, blankets, and so forth) in their vehicles for emergency use while driving in winter. The following data give the number of items out of these 12 that were carried in their vehicles by 15 randomly selected motorists.
5.3 78 0 105 12 10 7 6 7 119
Find the mean, median, and mode for these data. Round your answers to two decimal places, where appropriate.
Mean items
Median items
Mode - items
Answer:
[tex]Mean = 6.07[/tex]
[tex]Median = 7[/tex]
[tex]Mode = 7[/tex]
Step-by-step explanation:
Given
[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]
[tex]n = 15[/tex]
Solving (a): The mean
Mean is calculated as:
[tex]Mean = \frac{\sum x}{n}[/tex]
This gives:
[tex]Mean = \frac{5+ 3+ 7+ 8+ 0+ 1+ 0+ 5+ 12+ 10+ 7+ 6+ 7+ 11+ 9}{15}[/tex]
[tex]Mean = \frac{91}{15}[/tex]
[tex]Mean = 6.07[/tex]
Solving (b): The median
Sort the data in ascending order:
[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]
[tex]Sorted: 0\ 0\ 1\ 3\ 5\ 5\ 6\ 7\ 7\ 7\ 8\ 9\ 10\ 11\ 12[/tex]
The median is:
[tex]Median = \frac{n + 1}{2}th[/tex]
[tex]Median = \frac{15 + 1}{2}th[/tex]
[tex]Median = \frac{16}{2}th[/tex]
[tex]Median = 8th[/tex]
The 8th item on the sorted dataset is 7; So:
[tex]Median = 7[/tex]
Solving (c): The mode
[tex]Mode = 7[/tex]
Because it has a frequency of 3 (more than any other element of the dataset).
What is the equation for this word problem?:
Salma has 18 cars available to rent.
Last C be the number of cars she would have left after renting R of them.
Help!!!
Answer:
equation: C = 15 - R
C = 15 - 7
C = 8
Step-by-step explanation:
Okay first of all stan the karl pfp
7. Of 101 randomly selected adults
over 30 who frequent a very large
mall, 35 admitted to having lost their
car at the mall. Construct a 95%
confidence interval for the true
percentage of all adults over 30 who
shop at that mall who admit to having
lost their car at the mall.
Answer:
The 95% confidence interval for the true percentage of all adults over 30 who shop at that mall who admit to having lost their car at the mall is (25.37%, 43.93%).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
Of 101 randomly selected adults over 30 who frequent a very large mall, 35 admitted to having lost their car at the mall.
This means that [tex]n = 101, \pi = \frac{35}{101} = 0.3465[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3465 - 1.96\sqrt{\frac{0.3465*0.6535}{101}} = 0.2537[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3465 + 1.96\sqrt{\frac{0.3465*0.6535}{101}} = 0.4393[/tex]
As percentages:
0.2537*100% = 25.37%
0.4393*100% = 43.93%
The 95% confidence interval for the true percentage of all adults over 30 who shop at that mall who admit to having lost their car at the mall is (25.37%, 43.93%).
What is the median of the data?
3
8
5
5.5
Answer:
Median= middle number
(Example) 1, 4 ,6, 7 ,12
6 Would be the median here
so, 3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8,
5 Is the middle number and the median
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
3, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8
Hope this helped! Please leave any questions or concerns in the comments byeee <3
HELP ASAP! I will GIVE BRAINLY !! Need the whole answer please :(
Answer:
y = -1/2x + 1
Step-by-step explanation:
use 2 points to find slope, i used: (0,1) (4,-1)
m = 1-(-1) / 0-4
m = 2/-4
m = -1/2
as seen in graph, y-intercept is 1
∴ y = -1/2x + 1
Answer:
y=-2/4x+1
Step-by-step explanation:
the slope would be rise/run and y-intercept is wherever the line crosses the y-axis
2. Medication B is available in a liquid capsule of 150 mg per capsule. 600 mg/kg per
day is ordered for a child weighing 44 lbs. How many mgs should be given to this child
per day? How many capsules will the nurse administer to the child per day?
Answer:
12000 mg/day or 80 capsules
Step-by-step explanation:
First let's convert 44 lbs to kg. You could divide by 2.205 to get more precise answer but since 44 divides perfectly by 2.2 I don't think it's a coincidence it's meant to be rounded.
44/2.2=20 kg
600*20=12000 mg per day
12000/150=80 capsules
Seems a bit excessive but looking over my process I don't see any mistakes.
PLZ HELP ILL GIVE BRAINLIEST FOR RIGHT ANSWER!!!
This line plot shows the number of hours students studied for a final exam.
How many students studied at least four hours for the final exam?
Enter your answer in the box.
___students
Answer:
4
Step-by-step explanation:
the answer is 4 because 2 people studied 4 hours, 1 person studied 4.5 hours and one person studied 8.5 (they are insane) which would total to 4 people studying for at least 4 hours.
Plz mark brainliest
Rochelle received a $15 gift card to an online music store. She downloaded 12 songs that each cost the same price. After the gift card was applied, her total was $8.88. Which equation can be used to find , the price of each song?
A.) 12p - 15 = 8.88
B.) 8.88 - 12p = 15
C.) 12p + 8.88 = 15
D.) 15p + 12 = 8.88
Answer:
D
Step-by-step explanation:
Joshua orders pictures from a photographer. Each picture costs $12.75. A one-time shipping fee of $3.25 is added to the cost of the order. The total cost of Joshua’s order before tax is $79.75. How many pictures did Joshua order? Write an algebraic equation and solve.
Answer:
6 pictures
Step-by-step explanation:
Let x be the number of pictures that was bought
Let y be the total amount of money collected for the picture
y= 3.25+12.75
3.25+12.75x= 79.75
Therefore x can be calculated as follows
12.75x= 79.75-3.25
12.75x= 76.5
x= 76.5/12.75
= 6
Hence Joshua ordered 6 pictures
HELP PLZZZ I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!
A survey found that 40% of shoppers at Max-a-mart like chocolate ice cream. If 20 shoppers like chocolate ice cream, how many people were surveyed?
a) 20
b) 30
c) 50
d) 100
Solving
Tamika and Bryan hiked 7 miles a day.they hiked for 5days
Kurt and Sade hiked 5 miles a day. How many days did it take Kurt and sade
to hike the same distance as Tamika and bryan
sentence to solve.
Answer:
7 days
Step-by-step explanation:
Tamika and Bryan :
Distance per day = 7 miles
Number of days = 5
Tottal distance hiked = 7*5 = 35 miles
Kurt and Sade :
Distance per day = 5 miles
Number of days = x
Total distance hiked = 5x
35 = 5x
x = 35 /5
x = 7
Solve for x.
17
6
15
Answer:
x = 11
Step-by-step explanation:
Use the Secant-Secant Product Theorem. This theorem states that if two secants intersect in the exterior of a circle, then the products of the lengths of one secant segment and its external segment equal the products of the lengths of the other secant segment and its external segment. \
Use formula : (whole*outside = whole*outside)
1. Formula
WO = WO
2. Substitute variables and setup equation
7(x+7) = 6(6+15)
3. Simplify and remove parentheses
7x+49 = 126
4. Isolate and solve for (x)
7x = 77
x = 11
Answer: 11
Given:
The figure of circle and two secants from an external point.
To find:
The value of x.
Solution:
According to intersecting secant theorem: If two secants (I and II) intersect each other outside the circle then
(I secant) × (external segment of I) = (II secant) × (external segment of II)
Using the intersecting secant theorem, we get
[tex]7(7+x)=6(6+15)[/tex]
[tex]49+7x=36+90[/tex]
[tex]7x=126-49[/tex]
[tex]7x=77[/tex]
Divide both sides by 7.
[tex]x=\dfrac{77}{7}[/tex]
[tex]x=11[/tex]
Therefore, the value of x is 11.
Write an equivalent expression for -24 + 54n.
Answer:
30n
Step-by-step explanation:
-24+54=30×n=30n
I needed 20 more letters so ya lol
Answer:
-6 (4-9n)
Step-by-step explanation:
Janette measures the heights in inches of some of the flowers in her garden to see which ones are growing more. The heights are listed below. Which line plot represents the data correctly? 7 1 2 7 7 1 2 6 3 4 7 1 4 7 1 4 7 1 4 7 6 1 2 7 3 4 7 3 4 6 3 4 8 1 4 7 7 1 2 7 7 1 4 7 7 1 2 7 1 2 A. A line plot named B. A line plot named C. A line plot named D. A line plot named
Answer:
i think it is A
Step-by-step explanation:
4) Associate with each of the following sampling methods the most appropriate example from the list, given below.
1. Simple random sample ______ 4. Systematic sample ______
2. Stratified random sample _______ 5. Quota sample ______
3. Cluster sample ______ 6. Convenience sample _____
Examples:
a) Standing at a mall or a grocery store and asking people to answer questions.
b) Names picked from a hat.
c) Every 10th person is chosen randomly from each ward in a hospital.
d) Four secondary schools in a town is selected at random, then every pupil in
that school is surveyed.
e) One person in ten is chosen from an alphabetical list of employees.
f) People are stopped in the street according to instructions such as ‘stop equal
numbers of men and women.
Answer:
Step-by-step explanation:
Fd
I’ve been stuck on this can I get help.
Answer:
12 days
Step-by-step explanation:
720-240=480
480÷8= 60
1 day= 60 chairs
? days= 70 chairs
12 days = 720 chairs
hope this helps
Solve for x Round to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
take 20 degree as reference angle
using sin rule
sin 20=opposite/hypotenuse
0.34=3/x
x=3/0.34
x=8.82
x=8.8
their sum is -11 and the difference is 41
Answer:
x+41=-11 I guess
Step-by-step explanation:
a sqaure pieace of platic has sides that are 3 centimeter long. what is the platic pieace of teh area? answers
Find the distance between the two points rounding to the nearest tenth (if necessary).
(8,
-4) and (3,8)
Find the distance between the two points rounding to the nearest tenth (if necessary).
(8,
-4) and (3,8)
Answer:
13 units
Step-by-step explanation:
(8, -4) and (3,8)
To find the distance of two points, we use the distance formula:
[tex]d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }[/tex]
Let's plug in what we know.
[tex]d = \sqrt{(3 -8)^2 + (8 - (-4))^2 }[/tex]
Evaluate the double negative.
[tex]d = \sqrt{(3 -8)^2 + (8 + 4)^2 }[/tex]
Evaluate the parentheses.
[tex]d = \sqrt{(-5)^2 + (12)^2 }[/tex]
Evaluate the exponents.
[tex]d = \sqrt{(25) + (144) }[/tex]
Add.
[tex]d = \sqrt{(169)}[/tex]
Evaluate the square root.
[tex]d = 13[/tex]
13 units
Hope this helps!
Answer:
12
Step-by-step explanation:
a⋅(a+b)= c⋅(c + d) formula
9⋅(9+x)= 3⋅(3+60)
81+9x=3(63)
81+9x=189
-81 -81
9x=108
x=12
Adila sells T-shirts at a rock concert. She earns $8.00/h, plus $0.50 for each T-shirt she sells.
How many T-shirts must Adila sell to earn $80 in a 6-h shift?
Answer:
64 Shirts
Step-by-step explanation:
For 8 hrs she already earns $48 because 8*6=48. She needs $32 more from shirts to make $80. If its $0.50 per shirt it takes 64 to make $32