Answer:
Step-by-step explanation:
radius of A = 4 in
area of A = 16π in²
radius of B = 6 in
area of B = 36π in²
radius of C = 8 in
area of C = 64π in²
Area of A is 16π/(36π) the area of B = 4/9 the area of B
Area of B is 36π/(64π) the area of C = 9/16 the area of B
determine the intercepts of the line
x-intercept _,_
y- intercept _,_
HELP ASAP
What are the means?
Answer:
either 7 and 21 or 1 and 3 I believe I'm terribly sorry if I'm wrong friend
15.6<2.7(z-1)-0.6 please solve
Answer:
z > 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
15.6 < 2.7(z - 1) - 0.6
Step 2: Solve for z
[Addition Property of Equality] Add 0.6 on both sides: 16.2 < 2.7(z - 1)[Division Property of Equality] Divide 2.7 on both sides: 6 < z - 1[Addition Property of Equality] Add 1 on both sides: 7 < zRewrite: z > 7Here we see that any value z greater than 7 would work as a solution to the inequality.
5. The length of a rectangle is 8 cm more than four times the width. If the perimeter of the rectangle is 86 cm,
what are its dimensions?
a) Write the system of equations:
b) Solve the system to find the dimensions:
please help!!
A hot-air balloon is rising straight up from a level field at a constant rate. This balloon is tracked by a range finder located on the ground 496feetfrom the lift-off point. At the moment the elevation angle from the range finder to the balloon is 0.875radian, this elevation angle is increasing at the rate of 0.225 radianper minute. At what rate is the distance between the range finder and the balloon changing when the elevation angle is 0.875 radian? Keep 3decimal places in your final answer
Answer:
46.091 m
Step-by-step explanation:
Given that
Height of the range finder, = 496 feet
Angle of elevation, θ = 0.875 Rad = 50°
Velocity of increment, = 0.225 rad/min
For starters, we try and assume that it all takes place in a triangular shape. Using Pythagoras theorem, we then know that
Tanθ = y / 496
y = 496 tanθ
On differentiating, we have
dy/dt = 496 sec²θ
dy/dt = 496 * 0.413 * de/df
dy/dt = 204.848 * de/df
dy/dt = 204.848 * 0.225
dy/dt = 46.091 m
Using the information from the problem tell: Perimeter or Area of Old (Original) Figure Perimeter or Area of New Figure Make a statement about the change in Area or Perimeter Please numbers your answer 1 to 3, so I know what question you are answering
Answer:
The perimeter of the given parallelogram increases to four times the current value
Step-by-step explanation:
The given dimensions of the parallelogram are 8 cm by 10 cm
Therefore, the perimeter of the given parallelogram, 'P₁', is found as follows;
P₁ = 2 × 8 cm + 2 × 10 cm = 16 cm + 20 cm = 36 cm
The perimeter of the given parallelogram, P₁ = 36 cm
When each side of the parallelogram are multiplied by 4, we get;
The new sides of the parallelogram = 4 × 8 cm = 32 cm and 4 × 10 cn = 40 cm
The new perimeter of the parallelogram, P₂ = 2 ×32 cm + 2 × 40 cm = 144 cm
Therefore, the perimeter, P₂ is P₂/P₁ times larger than the perimeter P₁
P₂ = (144 cm)/(36 cm) × P₁
∴ P₂ = 4 × P₁
The change in the perimeter after multiplying each side of the given parallelogram by 4 is that the perimeter of the given parallelogram increases to four times the current value
Terrence played video games for 1/3 of an hour and walked his dog for 3/5 of an hour. Did Terrence spend more time playing video games or walking his dog?
Answer:
Terrence spend more time walking his dog .
Step-by-step explanation:
3/5 = 0.6
1/3 = 0.333
0.6>0.333
Factorise fully 21xcubed -49xsquared
Answer:
7x²(3x-7)
Step-by-step explanation:
21x³ - 49x²
7(3x³ - 7x²)
7x²(3x - 7)
In a game called Taxation and Evasion, a player rolls a pair of dice. If, on any turn, the sum is 7, 11, or 12, the player gets audited. Otherwise, she avoids taxes. Suppose a player takes 5 turns at rolling the dice. The probability that she does not get audited is ________.
Answer:
[tex]Probability = \frac{243}{1024}[/tex]
Step-by-step explanation:
Given
[tex]Sum = \{7, 11, 12\}[/tex]
[tex]Rolls = 5[/tex]
Required
Probability of not getting audited
If a pair of dice is rolled, the following are the observations of the sum
[tex]Outcomes = 36[/tex]
[tex]Sum\ of\ 7 = 6[/tex]
[tex]Sum\ of\ 11 = 2[/tex]
[tex]Sum\ of\ 12 = 1[/tex]
So, in a single roll; The probability of getting audited is:
[tex]p= \frac{1 + 2 + 6}{36}[/tex]
[tex]p= \frac{9}{36}[/tex]
[tex]p= \frac{1}{4}[/tex]
The probability of not getting audited in a single roll is:
[tex]q = 1 - p[/tex] --- Complement rule
[tex]q = 1 - \frac{1}{4}[/tex]
Take LCM
[tex]q = \frac{4 - 1}{4}[/tex]
[tex]q = \frac{3}{4}[/tex]
The probability of not getting audited in 5 rolls is:
[tex]Probability = q^5[/tex]
[tex]Probability = (\frac{3}{4})^5[/tex]
[tex]Probability = \frac{3^5}{4^5}[/tex]
[tex]Probability = \frac{243}{1024}[/tex]
Find two integers whose sum is 11 and product is 18
Answer:
9,2 and 2,9
Step-by-step explanation:
x+y=11
xy=18
Since they are asking for integers you can simply look through and see what integers multiply out to 18 and then check if they add up to 11. The answers for x and y are 9 and 2. but 9 can be for y as well and 2 can be for x.
How to solve it algebraically
18/y=x
x+y=11(insert 18/y for x)
18/y+y=11(factor it)
(y^2+18)/y=11(multiply both sides by y)
y^2+18=11y (subtract both sides by 11y)
y^2-11y+18=0
complete the square
y^2-11y = -18
(-11/2)^2=121/4 (add in on both sides)
y^2-11y+121/4=49/4
(y-11/2)^2=49/4 (square root both sides)
y-11/2=±7/2
y=11/2±7/2
y=9 or y=2
so
x=9 or x=2
Hope this helps :)
Please give brainliest
How many real cube roots does –343 have?
Answer:
Number (n)
Cubes (n3)
1-1
2-8
3-27
4-64
5-125
6-216
7-343
8-512
9-729
10-1000
Step-by-step explanation:
Given f(x)=(1/2x)-5, find f^-1(x).
Answer:
[tex]f^{-1}[/tex](x)=2x+10
Step-by-step explanation:
f(x)=[tex]\frac{x}{2}[/tex]-5
Let y= [tex]\frac{x}{2}[/tex]-5
y= [tex]\frac{y}{2}[/tex]-5
x+5= [tex]\frac{y}{2}[/tex]
Both side multiple 2,
2x+10=y
[tex]f^{-1}[/tex](x)=2x+10
what is the aproximite area of a circle with a diameter of 50 cm use 3.14 pi
Answer:
78.5
Step-by-step explanation:
A bucket that weighs 6 lb and a rope of negligible weight are used to draw water from a well that is 80 ft deep. The bucket is filled with 36 lb of water and is pulled up at a rate of 1.5 ft/s, but water leaks out of a hole in the bucket at a rate of 0.15 lb/s. Find the work done W in pulling the bucket to the top of the well.
Answer:
3200 ft-lb
Step-by-step explanation:
To answer this question, we need to find the force applied by the rope on the bucket at time [tex]t[/tex]
At [tex]t=0, the weight of the bucket is 6+36=42 \mathrm{lb}[/tex]
After [tex]t[/tex] seconds, the weight of the bucket is [tex]42-0.15 t \mathrm{lb}[/tex]
Since the acceleration of the bucket is the force on the bucket by the rope is equal to the weight of the bucket.
If the upward direction is positive, the displacement after [tex]t[/tex] seconds is [tex]x=1.5 t[/tex]
Since the well is 80 ft deep, the time to pull out the bucket is [tex]\frac{80}{2}=40 \mathrm{~s}[/tex]
We are now ready to calculate the work done by the rope on the bucket.
Since the displacement and the force are in the same direction, we can write
[tex]W=\int_{t=0}^{t=36} F d x[/tex]
Use [tex]x=1.5 t[/tex] and [tex]F=42-0.15 t[/tex]
[tex]W=\int_{0}^{36}(42-0.15 t)(1.5 d t)[/tex]
[tex]=\int_{0}^{36} 63-0.225 t d t[/tex]
[tex]=63 \cdot 36-0.2 \cdot 36^{2}-0=3200 \mathrm{ft} \cdot \mathrm{lb}[/tex]
[tex]=\left[63 t-0.2 t^{2}\right]_{0}^{36}[/tex]
[tex]W=3200 \mathrm{ft} \cdot \mathrm{lb}[/tex]
Politics Post has published a total of 15 articles this month. If 12 of the articles are about candidates for an upcoming election, what percent of the articles are about candidates?
Answer:
80%
Step-by-step explanation:
12÷15= .8
.8=80%
..............
Help please 30 points
Answer:
(22,0)
Step-by-step explanation:
y=mx+b
y=-2/3x+44/3
0=-2x/3+44/3
x=22
(22,0)
A small town has about 5000 people. A random sample of 100 people finds that 25 are in
favor of a new park. Estimate the total number out of 5000 who are in favor of the park
Answer:
250
Step-by-step explanation:
What's the expanded notation of 5.34
write an expression that is equivalent to (3+14)+27
Answer: 44
<3<3<3<3<3<3<3<3
A vendor is thinking about changing the number of sweatshirts he brings to
an event. To make sure he doesn't run out, he plans to bring more of the size
most likely to be sold.
The table shows the number of sweatshirts of each size sold at the vendor's
last event and the number he had for sale.
Which size should he bring more of?
A. Medium
B. X-Large
C. Small
D. Large
The size he should bring more of is small and is denoted as option C.
What is Sale?This is a term which refers to the number of goods sold within a given period of time.
Given that, a vendor is thinking about changing the number of sweatshirts he brings to an event.
To make sure he doesn't run out, he plans to bring more of the size most likely to be sold.
we need to determine that which size should he bring more of,
So, here according to the table,
Small size has the smallest remaining which is 9 when the difference between the number sold and number put up for sale is calculated.
This is therefore why bringing more of small size will ensure he doesn't run out of stock in the next event as more people prefer it.
Hence, the size he should bring more of is small and is denoted as option C.
Read more about Sales here,
brainly.com/question/24951536
#SPJ7
What is the measure of the exterior angle shown in the figure below?
Answer:Measures of Exterior Angles
They are formed on the outer part, that is, the exterior of the angle.
The corresponding sum of the exterior and interior angles formed on the same side = 180°.
Step-by-step explanation: is that what u mean?
System A
System B
- 3x + 12y = 15
-x+ 4y = 5
7x - 10y = -2
7x– 10y = -2
1) How can we get System B from System A?
Answer:
The answer should actually be option C, replace one equation with a multiple of itself. Then for the second question the answer is A, Yes.
Step-by-step explanation:
Did it on Kahn Academy and these were the right answers, hope this helps! ♥
Answer:
khan
Step-by-step explanation:
A triangular pyramid has a height of 51 yards and a base with an area of 225 square yards. What is the volume of the pyramid?
WILL MARK BRAINLEST
PLEASE HURRYYY!!1
Answer:
3,825 y³
Step-by-step explanation:
The value of an investment decreased by 10%. The original amount was $75.00. What is the current value of the investment?
Answer:
82.5 is the right answer
Harry’s soccer team plays 2 nonconference games for every 3 games that they play against conference opponents. If y represents the number of nonconference games and x represents the number of conference games, which equation best models this proportional relationship?
y = two-thirds x
y = three-halves x
y = 2 x
y = 6 x
Answer:
C. y=three-halves
Step-by-step explanation:
Answer:
I'm Pretty sure the answer is y=two-thirds x
Step-by-step explanation:
h(x)=-2x^(2)+3x what is the value of h(-3)
Answer:
h(-3) = -27
Step-by-step explanation:
Given that,
[tex]h(x)=-2x^{(2)}+3x[/tex]
We need to find the value of h(-3).
Put x = -3 in the given expression.
[tex]h(-3)=-2(-3)^{(2)}+3(-3)\\\\=-2\times 9-9\\\\=-27[/tex]
So, the value of h(-3) is equal to -27.
Help help help plz plz
Answer:2nd i think i hope this helps ! :)
Step-by-step explanation:
PLEASE HELP
Jason has a business that prints posters. He is working on an order for printing 1500 posters. He only has 400 posters left to print to complete the order.
Jason will only leave for the day if he has printed
7/10 of the posters for the order.
Can he leave for the day right now?
A. No! Jason has only printed 27/100 of the posters needed.
B. Yes! Jason has printed 73/100 of the posters needed.
С. Yes! Jason has printed exactly 7/10 of the posters needed.
D. No! Jason has only printed 29/50 of the posters needed
Answer:
B. Yes! Jason has printed 73/100 of the posters needed.
Step-by-step explanation:
7/10(1500) = 1050 minimum to print
1500-400 = 1100 printed
1100/1500 = 73/100
What does 4! equal? Show the equation and what it equals
Answer:
4x3x2x1=24
Step-by-step explanation:
There are 92 students in a chemistry class. The instructor must choose two students at random. Students in a Chemistry Class Academic Year Chemistry majors non-Chemistry majors Freshmen 15 15 Sophomores 13 9 Juniors 2 10 Seniors 12 16 What is the probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random
Answer:
0.0108 = 1.08% probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Probability that a sophomore non-Chemistry major
Out of 92 students, 9 are non-chemistry major sophomores. So
[tex]P(A) = \frac{9}{92}[/tex]
Then a junior non-Chemistry major are chosen at random.
Now, there are 91 students(1 has been chosen), of which 10 are non-chemistry major juniors. So
[tex]P(B) = \frac{10}{91}[/tex]
What is the probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random
[tex]P = P(A)*P(B) = \frac{9}{92}*\frac{10}{91} = \frac{9*10}{92*91} = 0.0108[/tex]
0.0108 = 1.08% probability that a sophomore non-Chemistry major and then a junior non-Chemistry major are chosen at random.