Answer:
the rate at which the height of the box is decreasing is -0.0593 cm/s
Step-by-step explanation:
Given the data in the question;
Constant Volume of a rectangular box with a square base = 500 cm³
area of the base increases at a rate of 6 cm²/sec
so change in the area of the base with respect to time dA/dt = 6 cm²/sec
each side of the base is 15 cm long
so Area of the base = 15 cm × 15 cm = 225 cm²
the rate at which the height of the box is decreasing = ?
Now,
V = Ah
dv/dt = 0 ⇒ Adh/dt + hdA/DT = 0
⇒ dh/dt = -hdA/dt / A
we substitute
dh/dt = [ -( 500 / 225 ) × 6 ] / 225
dh/dt = [ -(2.22222 × 6) ] / 225
dh/dt = [ -13.3333 ] / 225
dh/dt = -0.0593 cm/s
Therefore, the rate at which the height of the box is decreasing is -0.0593 cm/s
Directions: Solve for the surface area of the following figures using the formula.
no links pls. i really need it T-T
Answer:
3^3 x 3.14
9 x 3.14 = 28.26
28.26 x 2 = 56.52
2 x 3.14 x 3 = 18.84
18.84 x 10 = 188.4
Now lets add all given areas:
56.52 + 188.4 = 244.92 m^2 for question 1
4 x 3.14 x 12^2
4 x 3.14 x 144 = 1,808.64 cm^2 is your answer for question 2
14^2 x 3.14
196 x 3.14 = 615.44
3.14 x 14 x 33 = 1450.68
1450.68 + 615.44 = 2,066.12 cm^2 is your answer for question 3 I think
Which elements present the whole? a. percentage b. base c. rate d. both a and b
1. Base presents the whole number
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HELP!! 10 MIN REMAINING.
How can scientists use a seismograph to determine the density and depth of earths layers.
Answer:
Scientists can tell by observing the seismic waves that are recorded all over the surface of the earth from distant earthquakes. The seismic waves are reflected (bounced off) layers of different density, and they are refracted (bent) when they enter layers of different density.
Answer:
here now you can give her brainliest
Step-by-step explanation:
Alyssa planted 2 rows of onions and 2 rows of turnips in a garden. Alyssa also
planted 2 a row of oak trees. In total, how many rows of vegetables
did Alyssa plant?
Answer:
7[tex]\frac{1}{2}[/tex] rows
Step-by-step explanation:
just count the rows! (if she planted half a row then add it as half)
2[tex]\frac{1}{2}[/tex] + 2[tex]\frac{1}{2}[/tex] + 2[tex]\frac{1}{2}[/tex] (you can split it up)
2 + 2 + 2 + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex]
6 + 1[tex]\frac{1}{2}[/tex] = 7[tex]\frac{1}{2}[/tex]
A recent survey showed that 23.3 million adults have cut the cord on cable TV services, a 30% increase fron the previous year. If this trend continues, how many millions if adults can be expected to cut the cord next year?
Answer:
30,290,000 people
Step-by-step explanation:
The question is asking if the trend continues from the PREVIOUS year, so we would find the 30% of 23,300,000
23,300,000/100 = 233,000 = 1%
233,000 x 30 = 6,990,000
23,300,000 = 6,990,000 = 30,290,000
mrs. freeman is paying for a $20 meal. she has a 15% off coupon for the meal. after the discount , a 7% sales tax is applied.
what does mrs freeman pay for the meal
Answer:
Lin's father pay for the meal is $18.19
Step-by-step explanation:
Given:
Lin’s father is paying for a $20 meal.
He has a 15%-off coupon for the meal.
After the discount, a 7% sales tax is applied.
Now, to get the amount Lin's father pay for meal.
So, we deduct the 15% discount first:
$20 - 15% of $20.
Then, adding 7% sales tax:
$17 + 7% of $17
Therefore, Lin's father pay for the meal is $18.19.
Wavelength and Frequency
A chord consists of notes that sound good together. the C major chord, starting at middle C, has the following frequencies:
C - 262 Hz
E - 330 Hz
G - 392 Hz
Determine the ratio of the frequency of G to C. Express the answer in a simple integer ratio. (Due to rounding the ratio will be approximate. )
a. 5 to 4
b. 3 to 2
c. 6 to 5
d. 9 to 8
Please select the best answer from choices provided
Answer:
B. 3 to 2
Step-by-step explanation:
I calculated it logically
The ratio of the frequency of G to C is 1.5. So, option b is correct.
What is meant by frequency ?Frequency of a wave is defined as the number of oscillations completed by the wave in one second.
Here,
The frequency of note G, f(G) = 392 Hz
The frequency of note C, f(C) = 262 Hz
The ratio of the frequency of G to C, r = frequency of G/frequency of C
r = f(G)/f(C)
r = 392/262
r = 1.496 approximately r = 1.5
Hence,
The ratio of the frequency of G to C is 1.5
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Researchers conduct a study to evaluate the level of pollution present in a river. They selected several locations along the river and then take a sample of water from each location.
What is the population under study?
A. The water in the river
B. River water in the county where researchers are working
C. Water in a lake fed by the river
D. The water collected by researchers
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
There were 35 children and 10 adults at a cookout. What is the ratio of adults to children at the cookout?
Answer:
2:7
Step-by-step explanation:
10:35 can also be written as 2:7
Thenks and mark me brainliest :))
What is the value of the expression below?
-7(-2)
Answer:
14
Step-by-step explanation:
-7*-2=14
Write the quadratic equation in standard form:
8x2=8x + 13 + 4x2
out of 20 consecuative whole number two are chsen at random.then the probability that ther?
Answer:
2/20
Step-by-step explanation:
since,there are 20 whole number and if u put 2 random number the,
probability(P)=favorable outcome/possible outcome
so p=2/20
Thank You
The window has the shape of a kite. How many square meters of glass were used to make the window?
Answer:
1568cm²
Step-by-step explanation:
28cm + 28cm = 56cm
35cm + 21cm = 56cm
56 × 56 = 3136cm²
3136cm² ÷ 2 = 1568cm²
Jessica is getting ready for college she needs to have an
overall grade of 85 in her Math class to qualify for the college that
she wished to attend. Her math grade is based solely on her
scores on 6 exams. On the first 5 exams her scores were 87, 81,
85, 90, 78. Write an inequality that represents her predicament.
What does score does she need to get on her last test to qualify?
Answer:
Step-by-step explanation:
ask cymath it will help you with any mathmatical problem
Part 3a. NO LINKS. Find the measure of the arc or angle indicated.
9514 1404 393
Answer:
99°
Step-by-step explanation:
Arc YZ is twice the measure of angle X, so is 136°. The sum of the arcs of a circle is 360°, so the unknown arc is ...
360° -136° -125° = 99° . . . . measure of arc XZ
Answer:
Solution given:
<x=68°
arc XY=125°
arc XZ=?
we have
<X+<W=180°[sum of opposite angle of a cyclic quadrilateral is supplementary]
<W=180°-68°=112°
Now
arc YZ=2×112°=224°[central angle is equal to the twice of its inscribed angle]
arc YZ=224°
arc XY +arc YZ=224°
125°+arc YZ=224°
arc YZ=224°-125°
arc YZ=99°
the measure of the arc or angle indicated is 99°.
What is remainder one as a fraction?
Answer:
We have a remainder of 1, which we want to write as a fraction. We divide the 1 by 3. The fraction is 1 / 3 .
Step-by-step explanation:
Answer:
We have a remainder of 1, which we want to write as a fraction. We divide the 1 by 3. The fraction is 1 / 3 .
Step-by-step explanation:
How many sides do 2 octagons, 4 pentagons, and 5 triangles have in all?
Answer: 51
Step-by-step explanation:
2 octagons have 16 sides because an octagon has eight sides. So, 8x2=16.
4 pentagons have 20 sides because a pentagon has 5 sides. So, 4x5=20.
5 triangles have 15 sides because a triangle has 3 sides. So, 5x3=15.
In all, 16+20+15= 51
The diameter is 24 cm. Find the
length of arc CD
Answer:
s = 4π Exact answer
s = 12.56 Decimal approximation
Step-by-step explanation:
cicrumference = πd
s = (∅/360)(πd)
s = (60/360)(π * 24)
s = 4π Exact answer
s = 4 * 3.14
s = 12.56 Decimal approximation
50 POINT I NEED HELP BAD
Answer:
k = 4
Step-by-step explanation:
7k - 6 = 2k + 14
(7k - 2k) - 6 = (2k - 2k) + 14
5k - 6 = 14
5k (- 6 + 6) = 14 + 6
5k = 20
5k/5 = 20/5
k = 4
Find the measure of the exterior angle.
Answer:
u = 143º
Step-by-step explanation:
Sum of angles in a triangle is 180
The unknown angle IN the triangle
x + 90 + 53 = 180
x + 143 = 180
x = 37º
x and u are supplementary angle which total 180
u + 37 = 180
u = 143º
How to solve this problem. Please! Urgent
log 3+ loga(a^3)
log 3 + 3log a ( a ) =
log 3 + 3 × 1 =
log 3 + 3 =
0.4771 + 3 =
3.4771
Type the correct answer in each box.
Consider the table modeling function f.
-2
-1
0
1
2
-28
-9
-2
-1
0
Complete the table modeling the inverse of function f.
-1
0
4–1()
-2
0
The screenshot is the correct answers
The table modeling the inverse of function f is,
[tex]x[/tex] [tex]f^{-1}(x)[/tex]
-28 -2
-9 -1
-2 0
-1 1
0 2
What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is inverse function?"A function g is the inverse of a function f if whenever y = f(x) then x = g(y)"
For given question,
We have been given a table modeling function f.
x f(x)
-2 -28
-1 -9
0 -2
1 -1
2 0
We need to complete the table modeling the inverse of function f.
We know that the inverse of function y = f(x) is [tex]x=f^{-1}(y)[/tex]
For given function f(x), we find inverse of f(x)
[tex]x[/tex] [tex]f^{-1}(x)[/tex]
-28 -2
-9 -1
-2 0
-1 1
0 2
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The length of a rectangle is 5 cm longer than its width.
If the perimeter of the rectangle is 42 cm, find its area.
Answer:
The area is 104
Step-by-step explanation:
Length: 5 + x
width: x
(5+x)*2=10+2x
x*2=2x
2x+10+2x=42
10+4x=42
-10 -10
4x=32
/4. /4
x=32
5+8=13
13*8=104
Find the height of a rectangular pyramid with a length of 15.8 meters, a width of 9.2 meters, and a volume of 1235.56 cubic meters
Plz help 27 pt this is getting graded plz plz Plz
Answer:
517.2
Step-by-step explanation:
It has sides you're not seeing so don't forget those.
You need to find the area of the front, back, two sides, and bottom
Front & back:
6*5.2* 1/2
31.2/2 = 15.6 for each
Sides:
27*6 = 162 each
Bottom:
6*27 = 162
162+162+162+15.6+15.6= final answer
Answer: B
Step-by-step explanation:
First, you do 5.2 times 6 divided by two which is 15.6. Now you do 15.6 times two since there are two triangles and get 31.2. Now you do 27 times 6 times two and get 324 + 31.2 = 355.2. Lastly, you do 27 times 6 to get 162. 162+355.2 = 517.2
Can someone help me or explain how to find the missing value from the simple interest?
The area of a rectangle is 77ft, and the length of the rectangle is 3 more than twice the width. Find the dimensions of the rectangle.
Answer:
W = 11/2, L = 14 sq ft
Step-by-step explanation:
Area = 77ft
L = length, W = width
L = 3 + 2W
L * W = 77
Plug W in to find the L
HELP ME PLWASE I WILL GIVE ALL POINTS.
What value of x makes this equation true?
0.6x + 7 = 0.1x -8
Answer:
-30
Step-by-step explanation:
0.6x+7=0.1x-8
0.6x-0.1x=-8-7
0.5x=-15
x=-15/0.5
x=-30
A swimming pool is open for 7 1/2hours during a day. The pool keeps one lifeguard on
duty at a time, and each lifeguard's shift is 2 1/2hours long. How many shifts are there
per day?
7 shifts
5 shifts
3 shifts
4 shifts
Answer:
3 shifts a day
Step-by-step explanation:
7 1/2 hours = 7.5 2 1/2 hours = 2.5
7.5 divided by 2.5 = 3
Answer:
3 shift
Step-by-step explanation:
7 1/2 / 2 1/2
(15/2) / (5/2)
keep, change, flip
(15/2) x (2/5)
30/10 = 3 shifts
what does proportion mean in algebra when dealing with graphs