Answer: Area of Fountain = 147/147.58
Area of Circular path = 28.26
Step-by-step explanation:
formula for area of circle = pi x r^2
radius of fountain - [tex]\\ \sqrt{47} \\[/tex]
area= 22/7 x 47 (as [tex]\sqrt{47}[/tex] is squared)
=147
radius of circular path - [tex]\sqrt{56}[/tex]
area= 22/7 x 9 ( [tex]\sqrt{56}[/tex] is radius and [tex]\sqrt{47}[/tex] is of the fountain subtract them you'll get 9 )
=28.26
What is the domain of this function graphed above?
Answer:
domain: x cant be equal to 3.75
Step-by-step explanation:
I don't know if the problem is in my calculations or the question itself, but the result I got is irrational.
Anyway, here are my calculations. If the help you somehow to solve the question - great!
If not,srry to disappoint you
A sheep breeding farm counted a total of 40 sheep on their grounds. After one year, the number of sheep doubled. Then in the next year, the number of sheep doubled again. If this trend continues, which of the following options represents the number of sheep on the farm by the end of each year?
Answer:
Step-by-step explanation:
It is comes under geometric sequence;
40 , 80 , 160 ,320 , ........
First term = a = 40
Common ratio = r = 2
nth term = [tex]ar^{n-1}\\[/tex]
Number of sheep on the farm by the end of each year = [tex]40*(2)^{n-1}\\[/tex]
Which expression is equivalent to ...
Answer:
[tex] \sqrt{6} [/tex]Step-by-step explanation:
[tex]3 \sqrt{54} - 4 \sqrt{24} [/tex]
Simplify the radical expression
[tex]3 \sqrt{2 \times 3 \times 3 \times 3} - 4 \sqrt{2 \times 2 \times 2 \times 3} [/tex]
[tex]3 \times 3 \sqrt{2 \times 3} - 4 \times 2 \sqrt{2 \times 3} [/tex]
[tex]9 \sqrt{6} - 8 \sqrt{6} [/tex]
collect the like terms
[tex]9 - 8 \sqrt{6} [/tex]
[tex]1 \sqrt{6} [/tex]
[tex] \sqrt{6} [/tex]
Hope this helps...
good luck on your assignment..
Alice is building a caterpillar habitat for some caterpillars she found in her back yard. She plans to cover all sides of the habitat with screen so the caterpillars get plenty of fresh air. What is the total amount of screen that Alice will need for her habitat?
Answer:
perimeter of a cuboid is 4(L+B+H).
so, L=1m, B=0.4m,H=0.8m
substituting by formula,
4(1+0.4+0.8)
= 4(2.2)
=8.8
AMOUNT OF SCREEN THAT ALICE REQUIRES FOR HER HABITAT IS 8.8m
Step-by-step explanation:
HOPE IT HELPS. PLEASE MARK IT AS BRAINLIEST
Answer:
3.04 m^2
Step-by-step explanation:
The slope is the rate of change for temperature. If the temperature increases (gets hotter) as the distance from the surface increases, then the slope is positive. If the temperature decreases (gets colder) as the distance from the surface increases, then the slope is negative. What is the slope of your equation?
Answer:
add pic
Step-by-step explanation:
Answer:
m=6.5
Step-by-step explanation:
thats what you type in
Find m∠QPR..........
Hey there! :)
Answer:
m∠QPR = 25°.
Step-by-step explanation:
Given:
m∠QPS = 40°
m∠RPS = 8x + 7°
m∠QPR = 9x + 16°
m∠QPS = m∠RPS + m∠QPR, therefore:
40° = 8x + 7° + 9x + 16°
Combine like terms:
40° = 17x + 23°
Subtract 23° from both sides:
17° = 17x°
Divide both sides by 17:
x = 1°
If m∠QPR = 9x + 16°, substitute in 1 for 'x':
9(1) + 16 = 9 + 16 = 25°.
We need to find the value of x.
If R is on the interior of of <QPS, then m<QPR + m<RPS = m<QPS.
Now substitute the measures into the equation.
9x + 16 + 8x + 7 = 40.
Now combine like terms to get 17x + 23 = 40.
Now subtract 23 form both sides to get 17x = 17.
Now divide both sides by 17 to find that x = 1.
Now to find m<QPR which measures 9x + 16°, we can substitute in a 1.
So we have 9(1) + 16 which is 25.
So m<QPR is 25°.
What is the quotient?
x-1/7x2-3x-9
Which statement is true about the quadratic equation 8x2 − 5x + 3 = 0?
Answer:
It's not a real solution
Step-by-step explanation:
I dont understand how they got that awnser
Answer:
its quite simple...
the formula to find volume= width x height x length ( or area x length)
Step-by-step explanation:
of A
width =5 cm height= 9cmof B
width= 3height= 2length of whole prism= 4
Volume (A)= w x h x l
= 5 x 9 x 4
= 180 cm³
volume (B)= w x h x l
= 3 x 2 x 4
= 24 cm³
add both values to get the volume of whole prism = 180 + 24
= 204 cm³
What is the value of the 35th term in the sequence -15, -11, -7, ...? 121 125 151 374
Answer:
121
Step-by-step explanation:
This is an arithmetic sequence.
First term a = -15
Common difference [d] = second term - first term
= -11 - [-15] = -11 + 15 = 4
nth term = a + (n-1) * d
35th term = -15 + (35 - 1) * 4
= -15 + 34 * 4
= - 15 + 136
= 121
Answer:
121 and 257
Step-by-step explanation:
So we would have our equation for arithmetic sequences which is [tex]a_{n} =a_{1} +(n-1)d[/tex] a1 is the first term, n is the term we want to know, and d is the common difference. We would plug in the numbers into the equation so we would get [tex]a_{n} =-15+(35-1)4[/tex]. And if you simplify you would get [tex]a_{n} =121[/tex].
Than for the other one we would do the same thing so you would get [tex]a_{n} = 121+(35-1)4[/tex] and if you simplify you would get [tex]a_{n} =257[/tex].
What is 21 multiplied by 80
Answer:
1680
Step-by-step explanation:
you can use a calculator or do the normal operation
find the sum of even numbers between 1001 and 10,000 (Arithmetic progressions) DO STEP BY STEP PLEASE
Step-by-step explanation:
arithmetic progression
even numbers between 1001 and 10000
1002,1004,.......9998
Tn=a+(n-1)d
Tn = 9998 last term in the progression of even numbers
a = 1002 first term
d = 2 distance
9998=1002+(n-1)(2)
8996=2n-2
8998=2n
n = 4499 the number of terms
sum = n/2 (a+Tn) = 4499/2(1002+9998)
= (4499/2)(11000) = 24744500
Logic:
notice what happens when you add the first and last terms
1002+9998=11000
1004+9996=11000
.......
help me please it will save my life
Answer: 197
Step-by-step explanation: square 28 + square 195 = x squared so then find the sqrt of that
please help- my final is timed! xx Identify the graph of the triangle with vertices P(1,4), Q(1,1), R(3,1). Then identify the image that represents ΔPQR rotated 90° counterclockwise around vertex Q and the resulting image reflected across the x-axis.
Answer:
Since it is a negative degree it’s a counter clockwise meaning the fourth picture or D with the vertexs being p’(-2,-1),q’(1,-1),r’(1,-3)
Step-by-step explanation:
ASAP!!! ON A TIME LIMIT!!!
Which expression is equivalent to 10k+17-7j-18-11k
-8jk-1
-7j-k-1
-7j+k+1
-8j-k
Answer:
-7j-k-1
Step-by-step explanation:
10k + 17 - 7j -18 -11k
10k-11k
-1k
17-18
-1
-7j-k-1
Flashback! Do you remember what these numbers tell you? The 10 means it will pay only $10,000 maximum for injury to any one person in an accident. The 20 means it will pay a minimum of $20,000 total to people injured in one accident. The 20 means it will pay a maximum of $20,000 total to people injured in one accident. The 5 means that it will pay a maximum of $5,000 in property damage for one accident. The 5 means that it will pay a minimum of $5000 in property damage for one accident. PLEASE HURRY
Answer:
10 -- $10k to any one person20 -- $20k to all persons, total5 -- $5k for property damageall are maximum values
Step-by-step explanation:
Insurance contracts specify maximum payments, not minimum payments. The numbers mean ...
The 10 means it will pay only $10,000 maximum for injury to any one person in an accident.
The 20 means it will pay a maximum of $20,000 total to people injured in one accident.
The 5 means that it will pay a maximum of $5,000 in property damage for one accident.
Please help me with this geometry question:((
Answer:
(x + 3.5 ) / (x - 4 ) = 20 / 8
8x + 28 = 20x -80
12x = 108
x = 9
Step-by-step explanation:
Convert the following numbers of calories or
kilocalories into joules or kilojoules.
a. 7845 cal
b. 4.55 x 104 cal
C. 62.142 kcal
d. 43,024 cal
Answer:
32.823 kJ190.4 kJ260.00 kJ180.012 kJStep-by-step explanation:
The conversion factor for food energy or thermochemical calorimetry* is ...
1 calorie = 4.184 J
1000 calorie = 4.184 kJ
__
a. 7845 cal = 7845·4.184 J = 32,823 J = 32.823 kJ
b. 4.55·10^4 cal = 4.55·10^4·4.184 J = 1.904·10^5 J = 190.4 kJ
c. 62.142 kcal = 62.142·4.184 kJ = 260.00 kJ
d. 43,024 cal = 43,024·4.184 J = 180,012 J = 180.012 kJ
_____
* The thermochemical calorie is defined in terms of the heat capacity of water. An international calorie of 4.1868 J is defined in terms of energy, without respect to the heat capacity of water.
Please help me with this question! I will give the brainliest to the one with the right answer!!!
Answer:
x =4
Step-by-step explanation:
hope this is the correct answer
Answer: B
Step-by-step explanation: B: 5^2-3^2 = 25-9 = 16. the square root of 16 is 4, so x=4
100,000 people are currently sick with disease. If that disease spreads at rate of 50% per week, how many weeks will it be until 1,000,000 people are infected?
Answer:
If you mean it speads at the amount of 100,000 it would be only 10 weeks before 1,000,000 people are effected
or If you mean 50% percent of 100,000 which is 50,000 it would take a total of 20 weeks before 1,000,000 people are infected
Hope this answered your question.
Write an equation of the line passing through the given point and satisfying the given condition. Give the equation (a) in slope-intercept form and (b) in standard form.
(6, 2); parallel to 8x - y = 4
(a) Write the equation of the line in slope-intercept form.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
Answer:
(a) y=8x-46
(b) 8x-y=46
Step-by-step explanation:
-y=-8x+4
y=8x+4
We know that 8 is the slope, and if we need a equation parallel to this line, then it will have the same slope.
Substitute (6,2)
2=8(6)+b
2=48+b
b=-46
The final answer is y=8x-46
The tables below show the number of flowers sold for Mother's Day the week before Mother's Day at two florists. Flower Power Day Number of Flowers Sunday 25 Monday 45 Tuesday 33 Wednesday 15 Thursday 47 Friday 37 Saturday 54Rose in the Hand Day Number of Flowers Sunday 18 Monday 27
Tuesday 55
Wednesday 64
Thursday 56
Friday 25
Saturday 50
What is the difference between the median number of flowers sold at each florist?
A. 49
B. 13
C. 25
D. 7
Answer:
B. 13
Step-by-step explanation:
Flower Power Day Number of Flowers median = 37
Rose in the Hand Day Number of Flowers median = 50
50 - 37 = 13
Simplify
(5/7)a²+13-(5/7)a-3
Answer:
c
Step-by-step explanation:
combine like terms:
5/7a^2+-5/7a+10
HOPE THIS HELPS!!!!!!:)
You pack sandwiches for a mountain hike with your friends. Each sandwich takes 222 slices of bread, and each hiker eats one sandwich. How many slices of bread are used for nnn hikers? Write your answer as an expression.
Answer:
This question contains some errors; the correct question is:
You pack sandwiches for a mountain hike with your friends. Each sandwich takes 2 slices of bread, and each hiker eats one sandwich. How many slices of bread are used for n hikers? Write your answer as an expression.
The answer is:
(2n) slices of bread for n hikers
Step-by-step explanation:
According to the question, sandwiches packed for a mountain hike with friends is made of two (2) slices of bread.
Each hiker gets one sandwich
This, n hikers will get n× 1 sandwich
= (n) sandwiches.
If 1 sandwich contains 2 slices of bread, then (n) sandwiches for n hikers will contain:
(2 × n) slices of bread
That is, (2n) slices of bread.
The expression is (2n).
Roman buys seed packets for the school garden. One packet of radish seeds costs $1.75. One packet of tomato seeds costs $2.50. Let r represent the number of radish seeds and let t represent the number of tomato seeds. Roman spent $62.75 on 32 packets of seeds. How many packets of each type of seeds did Roman buy? Use the table to guess and check. 8 tomato and 24 radish 9 tomato and 23 radish 23 tomato and 9 radish 24 tomato and 8 radish
Answer:
9 tomato and 23 radish
Step-by-step explanation:
r - number of radish seeds
t - number of tomato seeds
$1.75r + $2.50t = $62.75
1.75 (23) + 2.50 (9) = 62.75
40.25 + 22.5 = 62.75
$62.75 = $62.75
The answer checks out. Therefore, Roman bought 9 packets of tomato seeds and 23 packets of radish seeds.
Hope that helps.
Answer:
9 tomato and 23 radish
Step-by-step explanation:
Suppose the function ƒ(t) = et describes the growth of a colony of bacteria, where t is hours. Find the number of bacteria present at 5 hours. Question 11 options: A) 79.432 B) 8.155 C) 59.598 D) 148.413
Answer:
The number of bacteria present at 5 hours is 148.413
Step-by-step explanation:
Function: [tex]f(t)=e^t[/tex]
This function describes the growth of a colony of bacteria, where t is hours.
We are supposed to find the number of bacteria present at 5 hours.
So, Substitute t = 5
So, the number of bacteria present at 5 hours =[tex]e^5[/tex]
The number of bacteria present at 5 hours = 148.413
So, Option D is true
Hence the number of bacteria present at 5 hours is 148.413
If cos x=−6/7, and 90°
Answer: 0.4693877
Step-by-step explanation:
Given that:
cos x=−6/7,
From trigonometry :
Cosx + sinx = 1
Cos2x = cos(x + x)
Recall the double angle identity:
Cos2x = 2cos^2x - 1
Sin2x = 1 - 2sin^2x
Since cosx = - 6/7
Then
Cos2x = 2cos^2x - 1
Cos2x = 2cosx^2 - 1
Cos2x = 2(-6/7)^2 - 1
Cos2x = 2(36/49) - 1
Cos2x = 2 * (72/98) - 1
Cos2x = (2 * 0.7346938) - 1
Cos 2x = ( 1.4693877 - 1)
Cos2x = 0.4693877
A store sells books for $12 each. In the proportional relationship between x, the number of books purchased, and y, the cost per books in dollars" to "y, the total cost of the books in dollars, the constant of proportionality is 12. Which equation shows the relationship between x and y?
Answer:
Y=12x
If Y represents the Cost and X represents the number of books purchased.
WORD FORM:
Cost equals 12 times as many books that are purchased.
ASAP!! can someone help solve these and include work
Answer:
Below
Step-by-step explanation:
The triangle ABC is a right triangle so we will use the Pythagorian theorem
c^2 =5^2 + 8^2
c^2 = 25 + 64
c^2 = 89
c = 9.43
We khow that the sum of a triangle's angles is 180°
So B+90+58= 180
B+ 148 = 180
B = 180-148
B = 32°
■■■■■■■■■■■■■■■■■■■■■■■■■■
Tan A = opposite/ adjacent
Tan A = 5/12
6x-15=6x+15 Please solve this equation! I will put the brainliest, if its right answer
Answer:
No solution.
Step-by-step explanation:
[tex]6x-15=6x+15\\\\6x-15-6x=6x+15-6x\\\\\boxed{-15\neq 15}[/tex]
There is no solution to the equation.