Answer:
18.85
Step-by-step explanation:
C=2πr=2·π·3≈18.84956
The circumference of this pool is 6π feet.
What is a circle?A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.
Given:
The radius of a small wading pool is 3 feet.
r = 3 feet
And the pool is circular.
So,
circumference of circle = 2πr
Circumference of circle = 2π(3)
Circumference of circle = 6π feet
Therefore, 6π feet is the circumference of the pool.
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In ΔOPQ, PQ = 17, QO = 9, and OP = 15. Which statement about the angles of ΔOPQ must be true?
Answer:
All angles are different.
Internal angles can be acute, obtuse, or right angle.
The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.
Step-by-step explanation:
Given - In ΔOPQ, PQ = 17, QO = 9, and OP = 15.
To find - Which statement about the angles of ΔOPQ must be true?
Proof -
As given,
In ΔOPQ, PQ = 17, QO = 9, and OP = 15.
As all the sides of the given triangle is different, So the given triangle is a Scalene triangle.
Now,
We know that , In Scalene triangle -
All sides are different.
All angles are different.
Internal angles can be acute, obtuse, or right angle.
The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.
Smallest angle: ∠P
Opposite shortest side.
Middle angle: ∠O
Opposite middle side.
Largest angle: ∠Q
Opposite longest side.
Therefore:
m∠P<m∠O<m∠Q
Less than symbol goes from smallest to largest
Here's a better Explanation!!!!!!
g The population of Little Townville in 2005 was 13,625 people. In 2009 the population grew to 15,325 people. Assume that this trend is linear and the population has been growing like this since 2000. a. Write a function for the population, P, in terms of the number of years since 2000, ????. (6 points) b. What is the slope of the function and what does it represent in the context of the problem. Include units. (5 points) c. What is the vertical intercept of the function and what does it represent? Include units (5 points) d. What do you believe the population was in 2015?
Answer:
a) [tex]P(t) = 11500 + 425t[/tex]
b) The slope is of 425 people, which is by how much the population increases each year.
c) The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.
d) 17,875 people.
Step-by-step explanation:
A linear function that measures population after t years has the following format:
[tex]P(t) = P(0) + at[/tex]
In which P(0) is the vertical intercept, which represents the initial population, and a is the slope, which represents the yearly population.
a. Write a function for the population, P, in terms of the number of years since 2000.
The first step is finding the slope.
Finding the slope:
The slope is the change in the output divided by the change in the input, during a period of time.
The population of Little Townville in 2005 was 13,625 people. In 2009 the population grew to 15,325 people.
This means that in 2009 - 2005 = 4 years, the population increased by 15325 - 13625 = 1700.
So the slope is
[tex]a = \frac{1700}{4} = 425[/tex]
So
[tex]P(t) = P(0) + 425t[/tex]
Finding the initial population:
We want to find P(0), which is the population in 2000. The population of Little Townville in 2005 was 13,625 people, which means that [tex]P(5) = 13625[/tex]. So
[tex]P(t) = P(0) + 425t[/tex]
[tex]13625 = P(0) + 425*5[/tex]
[tex]P(0) = 13625 - 425*5[/tex]
[tex]P(0) = 11500[/tex]
So
[tex]P(t) = 11500 + 425t[/tex]
b. What is the slope of the function and what does it represent in the context of the problem. Include units.
The slope is of 425 people, which is by how much the population increases each year.
c. What is the vertical intercept of the function and what does it represent? Include units
The vertical intercept is of 11500 people, and it represents the population of Little Townville in the year 2000.
d. What do you believe the population was in 2015?
2015 is 2015 - 2000 = 15 years after 2000, so this is P(15).
[tex]P(15) = 11500 + 425*15 = 17875[/tex]
17,875 people.
PLEASE HELP ITS URGENT
DONT GUESS
WILL MARK BRAINLIEST
Answer:
[tex]468 {in}^{2} [/tex]
Step-by-step explanation:
see attached image, surface area is the area of each surface added together
Decrease 1428g by 38.5%
Answer:
1428 (1-0.385) = 878.22
Step-by-step explanation:
Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two distinct negative, integer solutions. What is the sum of all of the distinct possible integers that could be under the ink stain
Answer:
[tex]Sum = -81[/tex]
Step-by-step explanation:
See the comment for complete question.
Given
[tex]c = 36[/tex] ----- Constant
No coefficient of x^2
Required:
Determine the sum of all distinct positive integers of the coefficient of x
Reading through the complete question, we can see that the question has 3 terms which are:
x^2 ---- with no coefficient
x ---- with an unknown coefficient
36 ---- constant
So, the equation can be represented as:
[tex]x^2 + ax + 36 = 0[/tex]
Where a is the unknown coefficient
From the question, we understand that the equation has two negative integer solution. This can be represented as:
[tex]x = -\alpha[/tex] and [tex]x = -\beta[/tex]
Using the above roots, the equation can be represented as:
[tex](x + \alpha)(x + \beta) = 0[/tex]
Open brackets
[tex]x^2 + (\alpha + \beta)x + \alpha \beta = 0[/tex]
To compare the above equation to [tex]x^2 + ax + 36 = 0[/tex], we have:
[tex]a = \alpha + \beta[/tex]
[tex]\alpha \beta = 36[/tex]
Where: [tex]\alpha, \beta <0[/tex] and [tex]\alpha \ne \beta[/tex]
The values of [tex]\alpha[/tex] and [tex]\beta[/tex] that satisfy [tex]\alpha \beta = 36[/tex] are:
[tex]\alpha = -1[/tex] and [tex]\beta = -36[/tex]
[tex]\alpha = -2[/tex] and [tex]\beta = -18[/tex]
[tex]\alpha = -3[/tex] and [tex]\beta = -12[/tex]
[tex]\alpha = -4[/tex] and [tex]\beta = -9[/tex]
So, the possible values of a are:
[tex]a = \alpha + \beta[/tex]
When [tex]\alpha = -1[/tex] and [tex]\beta = -36[/tex]
[tex]a = -1 - 36 = -37[/tex]
When [tex]\alpha = -2[/tex] and [tex]\beta = -18[/tex]
[tex]a = -2 - 18 = -20[/tex]
When [tex]\alpha = -3[/tex] and [tex]\beta = -12[/tex]
[tex]a = -3 - 12 = -15[/tex]
When [tex]\alpha = -4[/tex] and [tex]\beta = -9[/tex]
[tex]a = -4 - 9 = -13[/tex]
At this point, we have established that the possible values of a are: -37, -20, -15 and -9.
The required sum is:
[tex]Sum = -37 -20 -15 - 9[/tex]
[tex]Sum = -81[/tex]
Use least common multiple or greatest common divisor to solve the problem.
Three clocks chime every 15 minutes, 39 minutes, and 65 minutes,
respectively. If the three clocks chime together, how much time must pass
before they will chime together again?
Answer:
Step-by-step explanation:
3) 15,39,65
_________
5 )5,13,65
--------------
13 )1,13,13
----------------
| 1,1,1
L.C.M.=3×5×13=195
They will chime together after 195 minutes.
Three hundred new ones cost $2100. what would be the cost of 120 new ones
Answer:
840
Step-by-step explanation:
120 is 40% of 300, and 840 is 40% of 2100 is 840.
Answer:
840
Step-by-step explanation:
Subtract. (12+8i)−(7+4i) Enter your answer in the box.
Answer:
5+12i
Step-by-step explanation:
So 12-7 = 5 and 8i+4i=12i and that equals 5+12i
what is 1 x 5555 + -6779 . 55555
Answer:
−376601790
Step-by-step explanation:
1
⋅
5
5
5
5
−
6
7
7
9
⋅
5
5
5
5
5
5
5
5
5
−
6
7
7
9
⋅
5
5
5
5
5
Answer:
it's -1,224.55555
Step-by-step explanation:
1 x 55,555 = 55,555
55,555 + -6779.55555 = -1224.55555
hope this helps...
Tiy deposit $500 in a savings account that earns 7% interest compounded annually.
Can help find the answer , what the increasing interval and decreasing interval. In interval notations?
Answer:
increasing on intervals
Step-by-step explanation:
cause the intervals come from a negative 2 aNd are going upwards in which the become positive
hope I helped
Two secretarial students, Agyemang and Ike
are used Typewriter dealers. They found that the
length of time before a major repair is required on
Typewriter sold is normally distributed with a mean
equal to 11 months and
Standard deration & 2
montes. If the dealers wand only s% of the
Cars to fail before the end of the guarantee
period, for how
many
minth should the Typewriters
be guaranteed
how me
,
Step-by-step explanation:
22
A thermally insulated vessel contains
150 g of water at 0°C. Then the air from the
vessel is pumped out adiabatically. A
fraction of water turns into ice and the rest
evaporates at 0°C itself. The mass of
evaporated water will be closest to:
(Latent heat of vaporization of
water = 2.10 x 106 Jkg - and Latent heat of
Fusion of water = 3.36 x 105J kg-1)
Solve the following problem and choose the best answer.
Question
Favian received a $100 gift card to a clothing store. Using only the gift card, he was able to purchase n
sweaters that cost $32 each and 1 belt for $20. If there was no tax on the sweaters and belt, which of the
following must be true?
O 80 : n> 32
O 32 :n> 80
0 80 : n < 32
O 100 – 32n< 20
Answer:
80 : n < 32
Step-by-step explanation:
100-20=80
What is sum of the vectors, (4.-5) and (10,2)?
(-6, 7)
(14,-3)
(14,7)
(15,6)
Answer:
(14,-3)
Step-by-step explanation:
To sum vectors, simply sum values at each position.
The sum is (4+10, -5+2) = (14,-3)
Question 4
There are 15 members in a bicycle club this fall. By next summer, Ming hopes the number of members will be 140% of this number. What is
Ming's goal for the number of members next summer?
Ming's goal for the projected number of members next summer is the product of percentage increase and the current number of members, which is 21
Given the Parameters :
Present number of members in club = 15 Expected percentage rise = 140%The projected number of members next summer can be calculated thus :
Current number × Expected percentage rise 15 × 140%15 × 1.4 = 21Therefore, Ming expects to see the number of members rise to 21 next summer.
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Answer:
It's 36 :)
Step-by-step explanation:
30 POINTS TO WHOEVER GETS IT. WILL MARK BRANLIEST. A lever is four meters long. A load of 1,200 newtons is placed one meter from the fulcrum. The force on the 3 meter arm
that will make it balance is
In order to lift the load above, a work input of 1500 Nm is applied. What is the efficiency of this lever?
Answer:
Your efficiency is 80%. N is 400
Step-by-step explanation:
I hope I helped :)
Would appreciate Brainliest ;)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Have a lovely day and good luck with your school work!
I believe the answer is 400, 80%
have a blessed day!
Need help on this please any one
What is the range of function g if g(x) = f(x) + 3
Answer:
g(x)=f(x)
f(x)=y
y+3=0
y=-3
the range of g(x) is y=-3
The range of g(x) is y=-3. The range of function is found by equating the given function with the f(x);
What exactly is a function?
A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
The range of function is found by equating the given function with the f(x);
[tex]\rm g(x)=f(x)[/tex]
The given function is represented as;
[tex]\rm y=f(x)\\\\y+3=0\\\\y=-3[/tex]
The range of g(x) is y=-3
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pls help. whats 6¹⁵÷6¹⁰=?
Answer:
6^5 or 7776
Step-by-step explanation:
When you divide exponentials you minus the exponents. 15-10=5
6^5 = 7776
Answer:
6^5 = 7776
Step-by-step explanation:
6^15 /6^10 = 6^(15-10) = 6^5 = 7776
If point N, with coordinates (1, 4) is translated to point N', with coordinates (-1,-1).
which translation did N undergo?
one unit left and three units down
two units left and three units down
two units left and five units down
one unit left and five units down
Changed 19/4 into a mixed number (fraction).
Answer:
Step-by-step explanation:
Did you mean: Change 19/4 into a mixed number (fraction).
How do you turn 19/4 into a mixed number?
As an improper fraction. (numerator larger than denominator): 19/4 = 19/4
As a mixed number (mixed fraction) (a whole number and a proper fraction, of the same sign): 19/4 = 4 3/4
As a decimal number: 19/4 = 4.75.
As a percentage: 19/4 = 475%
4 and 3/4
16/4 equals 4; then 19/4-16/4 = 3/4, so that's left over.
Find dy/dx by implicit differentiation.
cot(y) = 9x – 7y
dy/dx = ?
Answer:
Step-by-step explanation:
Find angle picture below.
Answer:
Angle M = 63
Angle N = 96
Step-by-step explanation:
By exterior angle of triangle:
Angle M + Angle N = 159
(4y+3)+(6y+6)=159
y = 15
Angle M = 4y + 3 = 4(15) + 3 = 63
Angle N = 6y + 6 = 6(15) + 6 = 96
On Monday Mrs. Wise bought 3 lbs of apples at $4 per lb. On Tuesday, apples were on sale for 20% off so she bought another 5 lbs. What was the price of apples on Monday?
Answer:
$12 on Monday
$16 on Tuesday
$28 in total
Step-by-step explanation:
Multiply the number of pounds by the cost per pound on Monday:
3 * 4 = $12 on Monday
If you want to find the price on Tuesday as well (I know it doesn't ask for it) you can calculate 20% of 4 by multiplying:
4 * 0.2 = 0.80
Next, subtract the 20% from the normal price:
4 = 0.80 = 3.20
Finally, multiply the discounted price by the number of pounds she bought:
3.20 * 5 = $16 on Tuesday
You can find the total of both Monday and Tuesday by adding the two together:
12 + 16 = $28.00 in total
please answer giving BRAINLIEST
Answer:
x=7
Step-by-step explanation:
You
Have
X-ray
Vision
YhXr
What is 74x56
Help fast I need it
Me will give brainliest
Thx in advance
Answer:
4144
Step-by-step explanation:
hope this helps
Answer:
the answer is 4,144
Step-by-step explanation:
Derwin used 6 gallons of paint to paint two rooms. He used 4 gallons to paint one of the rooms. The equation g + 4 = 6 can be used to find the number of gallons g he used to paint The other room. How many gallons of paint did Derwin use to paint the other room?
Answer:
He used 2 gallons to paint the other room.
Step-by-step explanation:
g=2
Because 2+4=6
If you subtract 4 from 6 it equals 2.
Hopefully it helps.
help me i need help pls pls pls
Answer:
B.…….................
C The triangles in this picture are similar. Find the height of the tree.
Answer:
Please find attached pdf
Step-by-step explanation:
Another one the last one ASAP
Answer:
13m²
Step-by-step explanation:
Area=6.5*4÷2=13
Answer:
13m
Step-by-step explanation:
1/2 × bas × perpendicular height