Answer:
3.70 The difference is 33.30
Step-by-step explanation:
Which expression is equivalent to 9-3?
3(y-1)
3(3y-1)
9(y-3)
9(3y-3)
if its correct I will give brainliest!♡
Answer:
B because 3*3=9 And 3*1=3 so it would be 3(3y-1) foil the answer
Step-by-step explanation:
The answer is B, I took the test.
Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of Jocelyn's estimate?
2.14%
2.18%
12%
46.83%
Answer:
Step-by-step explanation: They measured the length to be 5.08 cm, the width to be 5.09 cm, and the ... The actual volume of the block is 15.3 cm3. What is the percent error? thanks for your help in advanced. ... were measuring the volume of a cube shaped wooden block. ... Should I convert units before or after solving the problem?
The radius of a cone is increasing at a constant rate of 7 meters per minute, and the volume is decreasing at a rate of 236 cubic meters per minute. At the instant when the radius of the cone is 99 meters and the volume is 180 cubic meters, what is the rate of change of the height? The volume of a cone can be found with the equation V=\frac{1}{3}\pi r^2 h.V= 3 1 πr 2 h. Round your answer to three decimal places.
Answer:
The rate of change of the height is 0.021 meters per minute
Step-by-step explanation:
From the formula
[tex]V = \frac{1}{3}\pi r^{2}h[/tex]
Differentiate the equation with respect to time t, such that
[tex]\frac{d}{dt} (V) = \frac{d}{dt} (\frac{1}{3}\pi r^{2}h)[/tex]
[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (r^{2}h)[/tex]
To differentiate the product,
Let r² = u, so that
[tex]\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (uh)[/tex]
Then, using product rule
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}][/tex]
Since [tex]u = r^{2}[/tex]
Then, [tex]\frac{du}{dr} = 2r[/tex]
Using the Chain's rule
[tex]\frac{du}{dt} = \frac{du}{dr} \times \frac{dr}{dt}[/tex]
∴ [tex]\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})][/tex]
Then,
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]
Now,
From the question
[tex]\frac{dr}{dt} = 7 m/min[/tex]
[tex]\frac{dV}{dt} = 236 m^{3}/min[/tex]
At the instant when [tex]r = 99 m[/tex]
and [tex]V = 180 m^{3}[/tex]
We will determine the value of h, using
[tex]V = \frac{1}{3}\pi r^{2}h[/tex]
[tex]180 = \frac{1}{3}\pi (99)^{2}h[/tex]
[tex]180 \times 3 = 9801\pi h[/tex]
[tex]h =\frac{540}{9801\pi }[/tex]
[tex]h =\frac{20}{363\pi }[/tex]
Now, Putting the parameters into the equation
[tex]\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}][/tex]
[tex]236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)][/tex]
[tex]236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386][/tex]
[tex]708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}[/tex]
[tex]708 = 30790.75 \frac{dh}{dt} + 76.36[/tex]
[tex]708 - 76.36 = 30790.75\frac{dh}{dt}[/tex]
[tex]631.64 = 30790.75\frac{dh}{dt}[/tex]
[tex]\frac{dh}{dt}= \frac{631.64}{30790.75}[/tex]
[tex]\frac{dh}{dt} = 0.021 m/min[/tex]
Hence, the rate of change of the height is 0.021 meters per minute.
A ball is thrown vertically upward from the top of a 96-ft tower, with an initial velocity of 16 ft/sec. Its position function is s(t) = -16t2 + 16t + 96. What is its velocity in ft/sec when it hits the ground?
Answer:
80 ft/s
Step-by-step explanation:
Given that,
A ball is thrown vertically upward from the top of a 96-ft tower, with an initial velocity of 16 ft/sec. Its position function is given by :
[tex]s(t)=-16t^2 + 16t + 96[/tex] ...(1)
When it hits the ground, s(t) = 0
[tex]-16t^2 + 16t + 96=0\\\\t=3\ s[/tex]
At t = 3 s it will hit the fround.
We need to find its velocity when it hits the ground.
Differentiate equation (1) to find its velocity.
[tex]v=\dfrac{ds(t)}{dt}\\\\v=\dfrac{d(-16t^2 + 16t + 96)}{dt}\\\\v=-32t+16[/tex]...(2)
Put t = 3 in equation (2)
[tex]v=-32(3)+16\\\\v=-80\ ft/s[/tex]
Hence, when it will ground its velocity is 80 ft/s.
To find the quotient 4 divided1/5 multiply 4 by
Answer:
5
Step-by-step explanation:
When dividing numbers by fractions, we can simply multiply the umber by the reciprocal of the decimal. So,
4 ÷ 1/5 = 4 × (reciprocal of 1/5)
A reciprocal of a number is the same number written under 1. aka, 1 divided by that number, which simply is flipping the numerator and denominator of a number.
So the reciprocal of 1/5 is 5/1 = 5.
So 4 ÷ 1/5 = 4 × 5.
So your answer is 5.
hope it was useful!
Multiply.
(x−5)(3x+6)
Express the answer in standard form.
Answer:
[tex]3x^{2} -9x-30[/tex]
Step-by-step explanation:
(x - 5)(3x + 6)
[tex]3x^{2} +6x-15x-30\\3x^{2} -9x-30[/tex]
Answer:
3x² - 9x - 30
General Formulas and Concepts:
Algebra I
Expand by FOIL (First Outside Inside Last)Combining Like TermsStep-by-step explanation:
Step 1: Define
(x - 5)(3x + 6)
Step 2: Expand
Expand [FOIL]: 3x² + 6x - 15x - 30Combine like terms: 3x² - 9x - 30Question : If lines BG and CF are parallel, then OLF = OMG. Is this statement correct? Explain your answer.
Answer:
Yes this statement is correct.
Step-by-step explanation:
just mental math
The statement given that ∠OLF = ∠OMG is found to be; Correct from theorem of corresponding angles.
We are told that;
BC is parallel to CF
Now, we are told that;
∠OLF = ∠OMG
We can see that line DH is a transverse line that crosses the two parallel lines given as BG and CF
Now, according to theorem of corresponding angles, the angle's that are formed when two parallel lines are crossed by a transverse line are said to be equal because they correspond to one another.
In conclusion, it is true from corresponding angles that ∠OLF and ∠OMG are equal.
Read more about corresponding angles at; https://brainly.com/question/12054594
find the value of x.
4.
122°
100°
to
144
Answer:
84 degrees i think
Step-by-step explanation:
polygons have their interior angles add up to 540, so you just add up all the angles given and subtract them from 540, then you get your answer.
YA'LL I REALLY NEED HELP !!!!!! Which ordered pair is a solution to the system of inequalities? y ≤ x and y ≤ –2
options
A)
(–2,4)
B)
(1,4)
C)
(2,–4)
D)
(–6,2)
Answer: C. (2, -4)
Step-by-step explanation:
Take into consideration that y is less than or equal to -2. The only option in which the y value is less than or equal to -2 is option C., thus C would correctly solve the system of inequalities.
6th Grade Math Homework!
Will give brainiest!
15 Points!!
Please solve
ONLY ANSWER IF YOU HAVE THE ANSWERS
Don't need to explain
Keep in mind there are 2 pictures!
PLEASE HELP!! AND FAST!!
solve the literal equation 2y + 5x = 3x +8 for x
help please I'm on a timed test
Step-by-step explanation:
Simplifying
5x = 3x + 8
Reorder the terms:
5x = 8 + 3x
Solving
5x = 8 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
5x + -3x = 8 + 3x + -3x
Combine like terms: 5x + -3x = 2x
2x = 8 + 3x + -3x
Combine like terms: 3x + -3x = 0
2x = 8 + 0
2x = 8
Divide each side by '2'.
x = 4
Simplifying
x = 4
Answer:
x = -y + 4
Step-by-step explanation:
2y + 5x = 3x + 8
2x + 2y = 8
2x = −2y + 8
x= −y + 4
Please solve these 3 questions
Answer:
oh you do 3 - 8 witch equals -3=x minus 6 = -9
Step-by-step explanation:
hope this helps
Help me plz Ik it is sooooo easy but I just forgot how to do it ... my sister she forgot how to do it to and she sis in 12 grade soo like help plz
Answer:
59
Step-by-step explanation:
If a soccer team made 37 penalty shots out of 100, what fraction and what percentage of penalty shots did the team miss? choose two answers.
A. 63/100
B. 0.37
C. 37/100
D.60/100
E. 63%
F. 37%
Answer:
A. 63/100
Step-by-step explanation:
100-37= 63.
is (0,0) a solution to the equation y=3x
=========================================================
Explanation:
The point (0,0) means x = 0 and y = 0 pair up together.
Recall that any point is always of the form (x,y).
If we plug x = 0 and y = 0 into the equation, we end up with,
y = 3x
0 = 3*0
0 = 0
We get the same thing on both sides, so we have a true equation.
Since we have a true equation, we've shown that (0,0) is a solution.
Visually this indicates (0,0) is on the line y = 3x. Put another way, the line y = 3x goes through the origin.
A cyclist estimates that he will bike 80 miles this week. He actually bikes 75.5 miles. What is the percent error of the cyclist's estimate? Round the percent to the nearest hundredth if necessary.
Answer:
The percent error of the cyclist's estimate is 5.63%
Step-by-step explanation:
Percentages
The cyclist estimates he will bike 80 miles this week, but he really bikes 75.5 miles.
The error of his estimate in miles can be calculated as the difference between his estimate and the real outcome:
Error = 80 miles - 75.5 miles = 4.5 miles
To calculate the error as a percent, we divide that quantity by the original estimate and multiply by 100%:
Error% = 4.5 / 80 * 100 = 5.625%
Rounding to the nearest hundredth:
The percent error of the cyclist's estimate is 5.63%
PLEASE HELP!! please!!
Answer:
1.a
2.b
3.e
4.f
Step-by-step explanation:
does 5n = -20 have one solution,infinitley many,or no solutions?
What are some basic psychological responses a person could have to the color red?
Answer:
It depends on the person mental state or past. But red often gives the person a sense of danger or fear
Step-by-step explanation:
What is the value of x? Please explain and answer
[tex](\frac{2}{3} )/(\frac{3}{4} )=\frac{7}{6} \\[/tex]
Answer:
not true
Step-by-step explanation:
The actual answer is 8/9.
3 A trainer for a soccer team keeps track of the amount of water players consume during practice. The trainer observes that the average amount of water consumed by the team is a linear function of the temperature. The graph and equation for this function are shown. Choose True or False for each statement. True у 7.8 a. For every degree increase in temperature, the average amount of water consumed increases by 0.0875 gallons. False 7.2 b. When the temperature is below 74 degrees, the team consumes no water. Water (gal) True 6.6 64 False 6.0 0 X True 0 74 76 78 80 82 84 86 88 90 92 94 C. When the temperature is 86 degrees, the team consumes somewhere between 7 gal and 7.2 gal of water. Temperature (°F) False w = 0.0875t – 0.45, where w represents the average amount of water consumed, and t represents the temperature on that day. True d. The amount of water consumed by the team decreases by 0.45 gallons for every degree the temperature falls, False S
Answer:
Step-by-step explanation:
true false true false
text
Calibri
11
BIVA
co
WM
There are many different ways to write down an equation for a line like the one in the problem. Does
y-3/x-6=2represent the line? What about y-6/x-6=5What about y+5/x-1=2? Explain your reasoning
1.
2.
3.
Thislink has the answer: https://brainly.com/question/19701013?answering=true&answeringSource=greatJob%2FquestionPage%2F3
Answer:
Step-by-step explanation:
Fill in the symbol to make the inequality match the statements.
There are more people than dogs at the park p____d
There are less cats than people in the house c___p
Answer:
p > d
c < p
Step-by-step explanation:
In the equation
(x-3)2+(y-2)2=16, the center of the circle is...
Answer:
The center circle of this question is (2,3)
Need help with number 8 and 9
Answer:
45° and 12
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
(8)
The polygon has n = 8, that is 8 exterior angles, thus
exterior angle = 360° ÷ 8 = 45°
(9)
The number of sides n is
n = 360 ÷ 30 = 12
Answer:
45° 12 sides
Step-by-step explanation:
1) Every polygons interior angles is equal to 180 times two less than the amount of sides it has (i.e 180•(4-2)=360:quadrilateral) So applying that here we have eight sides so 180(8-2)=1080. Now divide that by 8 to get the measure of one angle and subtract it from 180 to get the exterior angle 45°
2) if the exterior angle is 30° then the interior angle is 150°. For this part i guess and checked but you can refer to the equation above. (180(x-2)=y/150)
Mr. Harrison sold 72 hot dogs in 4 days. At this rate, how many hot dogs will Mr. Harrison sell in 7 days?
Answer:
126
Step-by-step explanation:
72/4=18 hot dogs sold per day
18*7=126 hot dogs in a week.
Carlton bought stock at $5.25 for each share. The price of the stock decreased $3.75 after one month. It then increased $1.85 and $2.25 over the next two months. What is the price of the stock now?
Answer:
The price of the stock is now $5.60
Step-by-step explanation:
$5.25 - $3.75 = $1.50
$1.50 + $1.85 + $2.25 = $5.60
Answer:
They have $4.10
Step-by-step explanation:
Take out all the other stuff my 1.85 and 2.25 because all that other stuff doesn't matter now just add $1.85 + $2.25
1 1
+ 1.85
2.25
-------------
$4.10
if tickets to a movie are 6.50 each of Scarlet and her friends bought $17.00 in snacks and their total war $43.00 how many tickets did they buy?
Answer:
3143
Step-by-step explanation:
A triangular entranceway has walls with corner angles of 50°, 70°, and 60°. The designer wants to place a tall bronze sculpture on a round pedestal in a central location equidistant from the three walls. How can the designer find where to place the sculpture?
Answer:
Look for the incenter and place it there.
Step-by-step explanation:
Since there are three angles of 50°, 70° and 60°. If the designer is to place a sculpture on a round central position equidistant from all three walls, then he is looking for the incenter.
The incenter is simply the point where the bisectors of all the three angles intersect. This point is also the center of the largest circle that can be drawn inside the triangle where it touches all three sides of the triangle. Definitely, if the incenter is the middle of the circle that touches all the three sides, then the incenter will be equidistant from the three walls due to the fact that radius will always be the same in a circle.
This is why, he is to look for the incenter.