Answer:
1280
Step-by-step explanation:
I = p x r x t
I = 5000 x 6.4/ 100 x 4
I = 5000 x 0.064 x 4
I =1280
A university designs its campus with a master plan of two concentric circles. All of the academic buildings are within the inner circle (so that students can get between classes in less than 10 minutes), and the outer circle contains all the dormitories, the Greek park, cafeterias, the gymnasium, and intramural fields. Assuming the center of campus is the origin, write an equation for the outer circle if the diameter is 3800 feet. Equation Editor
Answer:
[tex]x^2+y^2=36100000[/tex]
Step-by-step explanation:
Here it is mentioned that the there are two concentric circles this means that they have the same center.
The center of the circles are the origin [tex](0,0)[/tex].
Radius of the outer circle is
[tex]r=\dfrac{3800}{2}=1900\ \text{m}[/tex]
Equation of a circle
[tex](x-a)^2+(y-a)^2=r^2[/tex]
where
[tex]a\ \text{and}\ b\ \text{are the}\ x\ \text{and}\ y\ \text{coordinates of the center}[/tex]
[tex]r=\text{Radius of the circle}[/tex]
Here the equation will be
[tex](x-0)^2+(y-0)^2=1900^2\\\Rightarrow x^2+y^2=3610000[/tex]
The equation of the outer circle is [tex]x^2+y^2=3610000[/tex]
What is the sum of (-3)+(200)-(50)?
Answer:
147 is your answer.
Provide a) the **EQUATION** and b) the solution for the following:
During a charity drive, the senior class raised $85 more than twice the amount raised by the freshman class. The senior class raised $555. How much did the freshman class raise?
Answer:
y= 2x + 85
y= $555
x= $235
Step-by-step explanation:
Let y be the amount the senior class raised
Let x be the amount the freshmen class raised
Insert known values
$555 = 2x + $85
Subtract 85 from both sides
$470 = 2x
Isolate the variable (x) by dividing each side by 2
$235 = x
Hope this helps! :)
Five more than Bob’s age is 23. How old is Bob? equation
Answer:
18 Years OldStep-by-step explanation:
23 - 5 = 18 Years Old
Hope this helps! <3
Answer:
18 yeara old
Step-by-step explanation:
let Bob's age be 'x'
5 more than Bob's age means
5+x ...is 23
Therefore, 5+x=23
x= 23-5
18
Bob is 18 years old.
Hope it helped.
Solve for distance and solve for time
5. total time taken = 3hrs
speed = 30km/hr
total distance travelled = 30 * 3= 90km
6. total time taken = 1.5hrs = 1 1/2 hrs
speed = 70 miles/hr
distance travelled in 1/2 hrs = 1/2 * 70 = 35 miles
total distance travelled = 3/2 * 70 = 3 * 35 = 105 miles
Rest of the answer jen will help
Hope it helped u,
pls put thanks and mark as the brainliest
find the zero of the function f(x) = 6x²+3
Answer:
[tex]\sqrt-{\frac {1}{2} }[/tex]
Step-by-step explanation:
Given expression;
f(x) = 6x² + 3
Unknown:
The zero of the function = ?
Solution:
The zero of the function is the value of x for which the function becomes zero. It is this value that solves the equation;
So;
6x² + 3 = 0
6x² = -3
x² = [tex]-\frac{3}{6}[/tex]
x = [tex]\sqrt-{\frac {1}{2} }[/tex]
Exercise 6.11 presents the results of a poll evaluating support for a generic "National Health Plan" in the US in 2019, reporting that 55% of Independents are supportive. If we wanted to estimate this number to within 1% with 90% confidence, what would be an appropriate sample size?
Answer:
The sample size is [tex]n =6697[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.55
The margin of error is E = 0.01
Given that the confidence level is then the level of significance is mathematically represented as
[tex]\alpha = (100 -90)\%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645 [/tex]
Gnerally the sample size is mathematically represented as
[tex]n = \frac{[Z_{\frac{\alpha }{2} }]^2 * p(1-p)}{E^2}[/tex]
=> [tex]n = \frac{1.645^2 * 0.55(1-0.55)}{0.01^2}[/tex]
=> [tex]n = \frac{1.645^2 * 0.55(1-0.55)}{0.01^2}[/tex]
=> [tex]n =6697[/tex]
Which expression can be used to convert 5 meters per second to km per hour?
Answer:
i dont even know duh
hehehe
Step-by-step explanation:
Which sets of angles listed are complementary in this diagram?
The two pairs ∠AEG and ∠CEG, ∠AEF and ∠FED are complementary angles. Therefore, option B is the correct answer.
From the given figure we need to identify the complementary angles.
What are complementary angles?In geometry, complementary angles are defined as two angles whose sum is 90 degrees.
By complementary angles concept:
From the figure, ∠AEG+∠CEG=90°
∠AEF+∠FED=90°
The two pairs ∠AEG and ∠CEG, ∠AEF and ∠FED are complementary angles. Therefore, option B is the correct answer.
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A circular plate with radius 7 m is submerged vertically in water as shown. Express the hydrostatic force against one side of
the plate as an integral and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s? for the
acceleration due to gravity. Recall that the mass density of water is 1000 kg/m²)
pg
XN
dy
х
3 m
m
Answer:
[tex]pg\int\limits^7_7(10-y)2\sqrt{7^2-y^2} \, dy[/tex]
*The last bound is negative 7
Then it equals 15085928 or 1.5E7
Step-by-step explanation:
[tex]x^2+y^2=7^2[/tex]
area = 2xdy
depth = (7+3)-y -> (10-y)
total force = [tex]pg\int\limits^7_7 {(10-y)2x} \, dy[/tex]
Substitute 2x from the first equation as x=[tex]\sqrt{7^2-y^2}[/tex]
total force = [tex]pg\int\limits^7_7 {(10-y)2\sqrt{49-y^2} } \, dy[/tex]
=pg1539.38
=(1,000)(9.8)(1539.38)=1.5E7 N
*Lower bound is -7, can't get the program to allow me to put it as a negative
The hydrostatic force against one side of the plate is an integral 1.5E7 N.
What is the equation of a circle at the origin?The general equation of a circle is [tex](x-h)^{2} +(y-k)^{2} = r^{2}[/tex]. The coordinate is (0, 0) at the origin, so the equation will become [tex](x)^{2} +(y)^{2} = r^{2}[/tex].
[tex](x)^{2} +(y)^{2} = 7^{2}[/tex]
area of circular plate = 2xdy
depth = (7+3)-y = (10-y)
The total force = [tex]pg\int\limits^7_7[ {10-y} ]2xdy[/tex]
Substitute 2x from the first equation as x = [tex]\sqrt{7^{2} -y^{2} }[/tex][tex]pg\int\limits^7_7[ {10-y} ]\sqrt{49 -y^{2} }dy[/tex]
= pg 1539.38
= (1,000)(9.8)(1539.38)
= 1.5E7 N
Thus, The hydrostatic force against one side of the plate is an integral 1.5E7 N.
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need help with some practice
Answer:
51°
Step-by-step explanation:
(x+6)°+(3x-30)°=180°=
x+6+3x-30=80
x-24+3x=180
4x-24=180
4x-24+24=180+24
4x=204
x=51°
Answer:
it is 51
Step-by-step explanation:
What number equals 2 4/5?
Answer:
2.8
Step-by-step explanation:
since 4/5 equals .8 it would just be 0.8 + 2
Answer:
14/5 i think it,s the answer
Step-by-step explanation:
Which of the following is not one of the Greek roots explored in this unit?
a. sin
C syn
b psyche
d. neuron
Please select the best answer from the choices provided
Answer:
Its A >_<Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Think about the expansion for the binomial
(2x - y2)6.
The first term of this binomial is 2x.
The second term of this binomial is -y2.
What is the correct formula for the fifth term in this binomial expansion?
A)6C4(2x)4(-y2)2
B)6C4(2x)2(-y2)4
C)6C5(2x)(-y2)5
Answer: B
6C4(2x)2(-y2)4
Step-by-step explanation:
2020 edge
Put a check mark for each set the number is part of:
1.56432...
Natural
Whole
Integer
U
Rational
Irrational
Real
Answer:
Irrational Number
Step-by-step explanation:
Given
[tex]Number = 1.56432..[/tex]
Required
Determine which set of number it is
The given number is not a natural number, whole number and it is not an integer because it contains decimal point
The given number is not rational because it can not be expressed as a fraction of two whole numbers.
Hence:
The set of the number is irrational
The mean salary of 5 employees is $42200. The employee salaries have 2 modes: $32500 and $52000. If the median salary gets a $2000 raise, then....
a) what is the new mean?
b) what is the new median?
Answer:
I believe the answer is
Step-by-step explanation:
mean is 42,200 and median is 26,000
Which number sentence represents the Associative Property of Addition?
18 + 7 = 7 + 18
4 + (1 + 11) = (4 + 1) + 11
0 + 90 = 90
22 + 3 = 25
Answer:
18+7=7+18
Step-by-step explanation:
Angelina received 2 discounts on $50. They were taken off one after the other. The first coupon was 20%. She paid $30 for shoes. What is the dollar amount taken off the first coupon.
Answer:
The dollar amount taken off is $10.
Step-by-step explanation:
I hope i helped.
Loren spent $42.25 to fill her car with 13 gallons of gas. How much did Loren pay per gallon?
Answer: 3.25
Step-by-step explanation: What I did was Multiply 42.25 by 100 ( To make it easier) and then divide it by 13. After that, I divided the quotient by 100 to get the real answer, which was 3.25
Let me know if I was helpful or not!
The point B (-2, 4) has been rotated by 270⁰ counter clock wise about the point (1, 3). Determine the coordinates for the point B’. 1.B' ( - 2, - 6) 2.B' ( - 2, 6) 3.B' ( 2, - 4) 4.B' ( 2, 6)
Answer:
The coordinates of the point B’ is (2,6)
Step-by-step explanation:
Let us have a case of rotation for 270 counterclockwise first;
So if we had;
(x,y) and we rotate 270 degrees about the origin, we will have (y , -x)
This is the case of the origin.
In cases where we are not rotating around the origin, say a point (a,b)
The result of the rotation will be;
(x,y) Turning to (y - b + a , a - x + b)
In the case of this question;
x = -2, y = 4
a = 1 , b = 3
Substituting these into the rotation equation, we have;
(4-3 + 1 , 1-(-2) + 3)
= (2 , 6)
So the coordinates of the point B’ is (2,6)
Please answer the last one!
Answer:
Step-by-step explanation:
your in on campus school
Answer:
Yes
Step-by-step explanation:
The temperature at 6:00 P.M. was 3°C. At midnight, the temperature was -2°C.
What real number represents the change in temperature
Answer:
-5 degrees
Step-by-step explanation:
In this scenario, since the final temperature was the temperature that existed at midnight then that value is subtracted from the initial temperature which was at 6:00 PM. Therefore we do the following calculation...
(-2) - 3 = x
-5 = x
Finally, we can see that there was a change in temperature of -5 degrees between 6:00 P.M. and Midnight. Meaning that the temperature during this time dropped a total of 5 degrees. Since, real numbers include negatives then the answer to this question is -5 degrees
Jonas draws a triangle, measures its three angles, and adds the measures together. He draws several more triangles and does the same thing. He writes the following conjecture: The measures of the three angles of a triangle add up to 180°. Which of the following statements is true
Complete question is;
Jonas draws a triangle, measures its three angles, and adds the measures together. He draws several more triangles and does the same thing. he writes the following conjecture: the measures of the three angles of a triangle add up to 180°. which of the following statements is true?
a. jonas believes that his conjecture only applies to the triangles he drew and measured.
b. jonas believes that his conjecture only applies to the triangles he drew and measured.
c. jonas believes his conjecture is true for all triangles.
d. none of the above.
Answer:
C. jonas believes his conjecture is true for all triangles.
Step-by-step explanation:
A conjecture in maths is simply a conclusion or a proposition that is like an educated guess which is likely to be true due to supporting evidence from preliminary study or research. However, it is just like a hypothesis for which no proof or disproof has been gotten.
Now, to the question, he came up with that conjecture after drawing so many triangles. So it means he is making a generalized statement for every triangle and not just the ones he drew.
Thus, the correct answer is Option C.
Leslie played Tetris yesterday. She said, "If you multiply my score by 6, then
increase it by 45, then divide that answer by 3, you will get exactly 835.” What was
Leslie's score? Please explain step by step.
Answer:
(6x+45)÷3=835
2x+15=835
2x=820
x=410
Lesile's score is 410
The ages Edna, and Elsa are consecutive integers. The sum of their ages is 114. What are their ages?
Answer:
Edna = 56.5
Elsa = 57.5
Step-by-step explanation:
Represent Edna age with x; Elsa age will be x + 1
So,
[tex]x + x + 1 = 114[/tex]
[tex]2x + 1 = 114[/tex]
Make 2x the subject
[tex]2x = 114 - 1[/tex]
[tex]2x = 113[/tex]
Solve for x
[tex]x = 113/2[/tex]
[tex]x = 56.5[/tex]
Elsa age is calculated as thus;
[tex]Elsa = x + 1[/tex]
[tex]Elsa = 56.5 + 1[/tex]
[tex]Elsa = 57.5[/tex]
Please help with this easy fraction problem. <3
Answer:
107/56 miles further on Sunday
Step-by-step explanation:
biked 139/8 saturday
biked 135/7 sunday
which fraction is greater by finding a common denominato 107/56r
Least common Denominator of 7 and 8 is 56
139x 7/8 x 7= 973/56
135x8/7 x 8=1080/56
1080/56 - 973/56 = 107/56
Therefore he rode further on Sunday further by 107/56 miles
the answer to the universe, life, and everything
Answer:
my life hurts now
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
GET A BOOK U MORON
There are 2 teachers for
24 students. If a school has
10 teachers, how many students?
Answer:
10 teachers= 120 students
Step-by-step explanation:
2 teachers= 24 students
divide 24 and 2 which 12
1 teacher= 12 students
multiply 10 and 12 which equals to 120
10 teachers= 120 students.
Pls mark as brainliest, thank u.
Subtract -2x^2+4x-1−2x
2
+4x−1minus, 2, x, squared, plus, 4, x, minus, 1 from 6x^2+3x-96x
2
+3x−96, x, squared, plus, 3, x, minus, 9.
Your answer should be a polynomial in standard form.
Answer:
8x²- x -8
Step-by-step explanation:
The question is not well written. I guess what you mean is:
Subtract -2x^2+4x-1 ( minus 2x squared plus 4x minus 1) from 6x^2+3x-9 (6x squared plus 3x minus 9).
To subtract -2x^2+4x-1 from 6x^2+3x-9, that is
6x^2+3x-9 - (-2x^2+4x-1). This can be written as
6x²+3x-9 - (-2x²+4x-1)
Now, opening the bracket, we will get
6x²+3x-9 +2x²-4x+1
Then, collecting like terms, we get
6x²+2x²+3x-4x-9+1
6x²+2x² = 8x²
3x-4x = -x
-9+1 = -8
∴6x²+2x²+3x-4x-9+1 becomes
8x²-x -8
The answer is 8x²-x -8.
Simplified form of the polynomial :
8x²- x -8
Given(correct form of question):
Subtract -2x²+4x-1 ( minus 2x squared plus 4x minus 1) from 6x²+3x-9 (6x squared plus 3x minus 9).
Now,
To subtract -2x²+4x-1 from 6x²+3x-9, that is
6x²+3x-9 - (-2x²+4x-1). This can be written as
6x²+3x-9 - (-2x²+4x-1)
Now, opening the bracket, we will get
6x²+3x-9 +2x²-4x+1
Then, collecting like terms, we get
6x²+2x²+3x-4x-9+1
6x²+2x² = 8x²
3x-4x = -x
-9+1 = -8
∴6x²+2x²+3x-4x-9+1 becomes 8x²-x -8
Thus,
The answer is 8x²-x -8.
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Point B is on line segment AC. Given BC
7 and AC
11, determine the length
AB.
Answer:
4
Step-by-step explanation:
Since the entire length is 11, and one segment is 7, you'll subtract and end up with the answer 4.
The length of AB if Point B is on the line segment AC, BC = 7 and AC = 11, is 4.
What is a line segment?A line segment is a measurable route between two points. Line segments can make up any polygon's sides because they have a set length.
Given:
Point B is on the line segment AC, BC = 7 and AC = 11,
Write the expression for the above phrase as shown below,
The length of the AC = The length of AB + the length of BC
11 = 7 + The length of AB
The length of AB = 11 - 7
The length of AB = 4
Thus, The length of AB is 4.
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