Answer:
Undefined
Step-by-step explanation:
Since you said to find the square root of "-25" the answer is undefined because you cannot square root a negative number.
Answer:
18-5i
Step-by-step explanation:
I can't see the answer choices but all you have to do is simplify this equation.
18-√-25
What is the square root of -25?
Well first we make the -25 into 25 because we can't do anything with a negative.
So square root of 25 is 5
Now plug 5 into the equation
18-5
Then multiply i to 5 because we're not sure what the exact value of 18-√-25 is.
Hope this Helps!
In 1860, gingham cloth sold for
$0.25 per yard. Mrs. Olsen bought
16.4 yards to make clothes for her
whole family. How much did she
spend on cloth?
Answer:65.6
Step-by-step explanation:
So $0.25 per yard
16.4/$0.25=65.6
a) y = 5x
What happens to the value of y if the value of x doubles?
Select your answer.
A: x2
B: x5
C: divide by 2
D: divide by 5
Answer:
x2
Step-by-step explanation:
In 5x, 5 is a constant and therefore if we double x we will double 5 too.
out of 8000 students of Chitwan district 10% take tuition in various subject before the SLC examination. Among them 40% take tuition in English only,20% in math only and 80 students in other subject. Compare the number of students who take tuition on both subject and the total number of students.
Answer:
Out of 8000 students, 10% take tuition in various subjects before the exam.
10% of 8000 is:
10/100 * 8000 = 800
Among the 800, 40% take tuition in English only and 20% take tuition in Math only.
80 students take tuition in other subjects, therefore, in percentage:
80/800 * 100 = 10%
Therefore, the percentage of students that take tuition in both Math and English is:
100% - (40% + 20% + 10%) = 100% - 70% = 30%
30% of the 800 students take tuition in both subjects. That is:
30/100 * 800 = 240 students
Therefore, among the 8000 students in the district, only 240 take tuition in both English and Math.
In percentage:
240/8000 * 100 = 3%
3% of students take tuition in both English and Math.
In Ratio:
3 : 100
3 out of 100 students take tuition in English and Math.
A hemisphere is exactly one-half of a sphere. Find the volume of a hemisphere where the radius is 6 m. (Round to the nearest tenth)
Answer:
144π or 452.4
Step-by-step explanation:
Volume of a Sphere Formula: V = 4/3πr³
Step 1: Plug in 6 for r
V = 4/3π(6)³
V = 288π
Step 2: Divide by 2
V = 288π/2
V = 144π
The population, P (t), of an Ontario city is modeled by the function p(t) = 14t^2 + 650t + 32,000. If t = 0 corresponds to the year 2,000. When was the population 25,000?
Answer:
The population of the city was 25,000 in 1970 and 1983.
Step-by-step explanation:
In order to find the year at which the population was 25,000 we need to make p(t) equal to that number and solve for t as shown below.
[tex]25000 = 14*t^2 + 650*t + 32000\\14*t^2 + 650*t + 7000 = 0\\t^2 + 46.43*t + 500 = 0\\t_{1,2} = \frac{-46.43 \pm \sqrt{(46.43)^2 - 4*1*500}}{2}\\t_{1,2} = \frac{-46.43 \pm \sqrt{155.75}}{2}\\t_{1,2} = \frac{-46.43 \pm 12.48}{2}\\t_1 = \frac{-33.95}{2} = -16.98\\t_2 = \frac{-58.91}{2} =- 29.5[/tex]
Since t = 0 corresponds to the year 2000, then t1 = 1983 and t2 = 1970.
Tyrone played 18 holes of golf and had the same score on each of the first 14 holes. He then had the same score on each of the next four holes. His score on the first 14 holes was –42 and his final score was –34. Which describes Tyrone's score on each hole?
Complete Question :
In golf, a score below zero is “under par” and a score above zero is “over par.”
Tyrone played 18 holes of golf and had the same score on each of the first 14 holes. He then had the same score on each of the next four holes. His score on the first 14 holes was –42 and his final score was –34. Which describes Tyrone’s score on each hole?
A. He scored 3 under par on each of the first 14 holes and 2 over par on each of the next four holes.
B. He scored 3 under par on each of the first 14 holes and 2 under par on each of the next four holes.
C. He scored 3 under par on each of the first 14 holes and 4 over par on each of the next four holes.
D. He scored 3 under par on each of the first 14 holes and 4 under par on each of the next four holes.
Answer: A. He scored 3 under par on each of the first 14 holes and 2 over par on each of the next four holes.
Step-by-step explanation:
Given that :
a score below zero is “under par” and a score above zero is “over par.”
Same score on each of the first 14 holes
Total score on first 14 holes = - 42
Therefore, score on each hole = ( total score / number of holes)
= - 42/14 = - 3
Negative signifies that it is 'under par'
Score on each of the next four holes is also the same.
Therefore, total score on next four holes :
(final score - total score on first 14 holes)
(-34 - (-42))
(-34 + 42) = 8
Total score on next four holes = 8
Score on each hole = 8/4 = 2
Positive score means he scored over par
Answer:
a
Step-by-step explanation:
I did quiz
Mei Su had 80 coins. She gave most of them to her friends in such a way that each of her friends got at least one coin and no two of her friends got the same number of coins. What is the largest number of friends to whom Mei Su could have given coins?
Answer: 12 friends.
Step-by-step explanation:
the data we have is:
Mei Su had 80 coins.
She gave the coins to her friends, in such a way that every friend got a different number of coins, then we have that:
The maximum number of friends that could have coins is when:
friend 1 got 1 coin
friend 2 got 2 coins
friend 3 got 3 coins
friend N got N coins
in such a way that:
(1 + 2 + 3 + ... + N) ≥ 79
I use 79 because "she gave most of the coins", not all.
We want to find the maximum possible N.
Then let's calculate:
1 + 2 + 3 + 4 + 5 = 15
15 + 6 + 7 + 8 + 9 + 10 = 55
now we are close, lets add by one number:
55 + 11 = 66
66 + 12 = 78
now, we can not add more because we will have a number larger than 80.
Then we have N = 12
This means that the maximum number of friends is 12.
Answer:
12
Step-by-step explanation:
my
if a truck starts from rest and its has acceleration of 4m/s 2. for second ,calculate its final velocity .what will be the distance travelled by the truck during the time interval?
Answer:
The answer is given below
Step-by-step explanation:
Let us assume the truck accelerates for 4 seconds.
Given that:
Initial velocity (u) = 0 (starts from rest),
acceleration (a) = 4 m/s²
time (t) = 4 s
Final velocity (v) = ?,
Distance (s) = ?
To calculate the final velocity, we use the formula:
v = u + at
Substituting values gives:
v = 0 + 4(4)
v = 0 + 16
v = 16 m/s
The final velocity is 16 m/s²
To calculate the distance traveled by the truck, we use the equation:
[tex]s=ut+\frac{1}{2}at^2\\ Substituting\ values\ into\ the\ equation:\\s=0(4)+\frac{1}{2}(4)(4)^2\\s=0+2(16)\\s=0+32\\s = 32\ meters[/tex]
The distance traveled by the truck during the time interval is 32 meters
find x.
help please !!
Answer:
x = 95°
Step-by-step explanation:
[tex]x = ?\\Sum -of- interior -angles=?\\Shape = pentagon\\No -of - sides= 5\\Sum- of- interior- angles = (n-2)180\°\\=(5-2)\times180\°\\3\times180\°\\Sum-of-interior-angles=540\°\\104\°+117\°+100\°+124\°+x\°=540\°\\445\°+x\° = 540\°\\x\° = 540\°-445\°\\x = 95\°[/tex]
Gassim bought 2L of colour paints to paint a wall of a villa. He already had 0.75L of colour paint. If he uses 2/5 of colour paints , find the amount of colour paints left?
THNXX for answering : )
Answer:
0.45 litres
Step-by-step explanation:
2/5 multiplied by 2 = 0.8
0.8+0.75= 1.55
2-1.55 = 0.45
What are the solutions of the equation x^4 + 6x^2 + 5 = 0? Use u substitution to solve.
Answer:
second option
Step-by-step explanation:
Given
[tex]x^{4}[/tex] + 6x² + 5 = 0
let u = x², then
u² + 6u + 5 = 0 ← in standard form
(u + 1)(u + 5) = 0 ← in factored form
Equate each factor to zero and solve for u
u + 1 = 0 ⇒ u = - 1
u + 5 = 0 ⇒ u = - 5
Change u back into terms of x, that is
x² = - 1 ( take the square root of both sides )
x = ± [tex]\sqrt{-1}[/tex] = ± i ( noting that [tex]\sqrt{-1}[/tex] = i ), and
x² = - 5 ( take the square root of both sides )
x = ± [tex]\sqrt{-5}[/tex] = ± [tex]\sqrt{5(-1)}[/tex] = ± [tex]\sqrt{5}[/tex] × [tex]\sqrt{-1}[/tex] = ± i[tex]\sqrt{5}[/tex]
Solutions are x = ± i and x = ± i[tex]\sqrt{5}[/tex]
It takes 6 hours to reach London from Minneapolis. Amanda took a flight to London from Minneapolis and reached at 7:15 pm London time. At what time did she depart Minneapolis at London time?
i will mark as brainliest
please explain I will mark as brainliest
Answer:
1:15 pm
Step-by-step explanation:
It takes 6 hours to reach London from Minneapolis and she reached Minneapolis at 7:15pm so
7:15 - 6 = 1:15
any number that divisible by 3 is also divisible by 6 . Find a counterexample to show that the conjecture is false
Answer:
Counterexample: 21 which is divisible by 3 but not by 6.
Step-by-step explanation:
Use for example the number 21 which is divisible by 3 rendering 7, but not divisible by 6.
You can find any number with at least a factor of "3", but no factor "2" in it, so any odd number divisible by 3 would work as counterexample.
What is the equivalent radian measure of 540°?
1
radians
3
radians
radians
3
3x radians
DONE
Answer: 3π
I don't see 3π in your answer choices, but I'm assuming the "3x" is supposed to be 3π.
Step-by-step explanation:
To convert from degrees to radians, you multiply by π/180.
[tex]540*\frac{\pi }{180} =3\pi[/tex]
What is 45% as a fraction in simplest form
⇒Answer:
[tex]\frac{9}{20}[/tex]
⇒Step-by-step explanation:
Well 45% is saying it is 45% out of 100,
So we can make the following fraction
45/100
Then we simplify by dividing 45 and 100 by 5
Hence, the answer is [tex]\frac{9}{20}[/tex]
A $86 ,000 trust is to be invested in bonds paying 9% , CDs paying 6% , and mortgages paying 10% . The bond and CD investment together must equal the mortgage investment. To earn a $7180 annual income from the investments, how much should the bank invest in bonds?
Answer:
to earn a $7180 annual income from the investments, the bank needs to invest $10,000 into the bonds.
Step-by-step explanation:
Let the mortgage investment be X
The Bond to be Y
and the CDs to be Z
Thus;
X+Y+Z = 86000 ------- (1)
Y + Z = X ------------(2)
10X + 9Y + 6Z = 7180 × 100 ------ (3)
So;we now have:
X+Y+Z = 86000 ------- (1)
Y + Z = X ------------(2)
10X + 9Y + 6Z = 718000 ------ (3)
Let ; replace X with Y+Z in equation (1) and (3)
Y+Z + Y+Z = 86000
2Y + 2Z = 86000
Divide both sides by 2
Y+Z = 43000 ------ (4)
From equation (3)
10X + 9Y + 6Z = 718000
10(Y+Z) + 9Y + 6Z = 718000
10Y +10Z + 9Y +6Z = 718000
19Y + 16Z = 718000 -----(5)
Y+Z = 43000 ------ (4)
19Y + 16Z = 718000 -----(5)
Using elimination method; multiply (-16) with equation (4) and (5) ; so, we have:
-16 Y -16 Z = -688000
19Y + 16Z = 718000
3Y + 0 = 30000
3Y = 30000
Y = 30000/3
Y = 10000
From (4);
Y+Z = 43000
So; replace Y with 10000; we have:
10000 + Z = 43000
Z = 43000 - 10000
Z = 33000
From (1) ;
X+Y+Z = 86000
X + 10000 + 33000 = 86000
X + 43000 = 86000
X = 86000 - 43000
X = 43000
Since we assume the bond to be Y and Y = $10000;
Thus; to earn a $7180 annual income from the investments, the bank needs to invest $10,000 into the bonds.
PLEASE HELP IMA MARK BRAINLIST
Answer:
53
Step-by-step explanation:
Explicit Formula: an = a1 + d(n - 1)
Simply plug in your known variables:
an = 8 + 3(n - 1)
Then plug in 16 for n:
a(16) = 8 + 3(16 - 1)
a(16) = 8 + 3(15)
a(16) = 8 + 45
a(16) = 53
Answer:
53
Step-by-step explanation:
an = dn + (a - d)
an = 3n + 8 - 3
an = 3n + 5
Put n as 16 and solve.
3(16) + 5
48 + 5
= 53
What is the equation of the following line written in slope-intercept form?
(1,5)
Oy=-5x
Oy= 5x
Oy=5/x
Answer:
y = 5x
Step-by-step explanation:
The y intercept is 0 since it crosses the y axis at 0
The slope is rise over run
From (0,0) we go up 5 and to the right 1
5/1 = 5
Slope = 5
The slope intercept equation is
y = mx+b where m is the slope and b is the y intercept
y = 5x+0
y = 5x
Answer:
y=5x
Step-by-step explanation:
Samuel wants to estimate what 5843 x .00243 is. What should his first step be?
The segments shown below could form a triangle.
Answer:
B. False
Step-by-step explanation:
In order for segments to form a triangle, the sum of the lengths of the shorter two must be at least as much as the length of the longest one.
The sum of the shorter two is 6 + 5 = 11. This is not as great as 12, the length of the longest one, so no triangle can be formed.
Which two consecutive whole numbers does 39 lie between? Why?
5 and 6 because 39 falls between 52 = 25 and 62 = 36.
4 and 6 because 39 falls between 42 = 16 and 62 = 36.
6 and 7 because 39 falls between 62 = 36 and 72 = 49.
5 and 7 because 39 falls between 52 = 25 and 72 = 49
Answer:
Step-by-step explanation:
6 and 7
Why does the second part of the problem cos x turns into cos x^2 explain the problem.
Step-by-step explanation:
It's not cos x^2
[tex]\cos^2x\neq\cos x^2[/tex]
----------------------------------------------
[tex]\cos x-\dfrac{\sin x\sin x}{\cos x}=\dfrac{\cos x\cos x}{\cos x}-\dfrac{\sin x\sin x}{\cos x}=\dfrac{\cos^2-\sin^2x}{\cos x}[/tex]
It's the same as
[tex]3-\dfrac{2}{3}=\dfrac{3\cdot3}{3}-\dfrac{2}{3}=\dfrac{3^2-2}{3}[/tex]
What is the height, x, in the triangle below? A. 2√5 B. 5 C. 5√2 D. 10
Answer:
D:10
Step-by-step explanation:
find hyp. first
sin 45=opp/hyp.
√2/2=10/hyp.
hyp.=20/√2 0r 10√2
Pythagorean theorem: a²+b²=c²
now find x²=(10√2)²-10²
x²=200-100
x²=100
x=√100=10
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
ANSWER A
Step-by-step explanation:
Answer:
it has a horizontal asymptote at y=O
Step-by-step explanation:
answer is A.
because A linear parent function is the equation y = x or f(x) = x.
If the polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote.
HELP YOU WILL GET 30 POINTS Naoya read a book cover to cover in a single session, at a rate of 55 pages per hour. After reading for 4 hours, he had 330 pages left to read. How long is the book? _____=pages How long did it take Naoya to read the entire book?______=hours
total number of pages = 550 pages
total amount of time to read the full book = 10 hours
======================================================
Work Shown:
1 hour = 55 pages
4 hours = 220 pages ... multiply both sides by 4
After 4 hours, he had read 220 pages. Since he has 330 still left to read, this brings the total to 220+330 = 550 pages overall
550/55 = 10 hours is the total amount of time needed to read the entire book at a rate of 55 pages per hour. This is assuming the rate is kept constant.
While 10 hours is a lot, it's somewhat plausible to get the full book read in one continuous session. Though he is better off taking (short) breaks every now and then.
Answer:
550 pages
10 hrs
Step-by-step explanation:
he reads 55 pages per hour
4 hrs* 55 pages/hrs=220 pages
the book is 550 pages long
220 pages+330=550 pages
to find the time to read the whole book:
330/55=6 hrs +4 hrs=10
or
550/55=10 hrs
The diagram shows an incomplete polygon. How do I determine whether it is a regular polygon or not? How should I write my reasoning?
Answer:
see explanations below.
Step-by-step explanation:
The shown sides are all equal.
If it is a regular polygon, it must have all interior angles equal, and all sides equal.
IF
all sides are equal and all angles are equal,
THEN
it is a regular polygon, with 12 sides, because in regular polygons, all exterior angles are equal, and add up to 360 degrees.
No. of sides = 360/(180-150) = 360/30 = 12 sides.
A windshield wiper blade is 18 inches long. To the nearest square
inch, what is the area covered by the blade as it rotates through an
angle of 122 degrees? (Enter just a number for your answer.)
the answer is 22 degrees
The area covered by the blade as it rotates through an angle of 122 degrees is approximately 346 square inches.
We have,
The area of a sector can be calculated using the formula:
Area = (θ/360) * π * r²
where θ is the central angle in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the sector.
The central angle is 122 degrees, and the radius of the wiper blade is 18 inches.
Substituting the values into the formula:
Area = (122/360) * π * (18²)
Area = (0.3389) * 3.14159 * 324
Area ≈ 344.77 square inches
Area = 345 square inches
Therefore,
The area covered by the blade as it rotates through an angle of 122 degrees is approximately 346 square inches.
Learn mroe about the area of sectors here:
https://brainly.com/question/1582027
#SPJ4
In the diagram, what is the measure of angle 1 to the nearest degree? a) 82° b) 92° c) 94° d) 98°
Answer:
98
Step-by-step explanation:
7x+4 = 88 because they are vertical angles and vertical angles are equal
7x = 88-4
7x = 84
Divide by 7
7x/7 = 84/7
x = 12
<1 and 7x-2 are supplementary angles since they form a line
<1 + 7x-2 = 180
<1 + 7(12) -2 = 180
<1 +84-2 =180
<1 +82 = 180
<1 = 180-82
<1 = 98
Answer-
98
step by step explanation -
7x+4=88
7x=84
x=12
7x-12=7*(12)-2=82
angle 1=180-82 =
98Find the approximate side lengths and perimeter of quadrilateral WXYZ. If necessary, round your answers to the nearest hundredth.
The approximate length of segment WX is
[tex]\left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right][/tex]
The approximate length of segment XY is
[tex]\left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right][/tex]
The approximate length of segment YZ is
[tex]\left[\begin{array}{ccc}2\\4.12\\4.47\\5\end{array}\right][/tex]
The approximate perimeter of quadrilateral WXYZ is [tex]\left[\begin{array}{ccc}14\\14.47\\15\\15.59\end{array}\right][/tex]
Answer:
The answer is given below
Step-by-step explanation:
Given that the location of the points are W = (3, 1) , X = (7, -1), Y = (7, -3) and Z = (3,-3)
The distance between two points A(x1, y1) and B(x2, y2) is given by the formula:
[tex]|AB|=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Therefore, the side length of the quadrilaterals are:
[tex]|WX|=\sqrt{(-1-1)^2+(7-3)^2}=\sqrt{20} =4.47[/tex]
[tex]|XY|=\sqrt{(-3-(-1))^2+(7-7)^2}=\sqrt{20} =2\\\\|YZ|=\sqrt{(-3-(-3))^2+(3-7)^2}=\sqrt{20} =4\\\\|ZW|=\sqrt{(-3-1)^2+(3-3)^2}=\sqrt{20} =4[/tex]
The Perimeter of the quadrilateral = |WX| + |XY| + |YZ| + |ZX| = 4.47 + 2 + 4 + 4 = 14.47 units
Answer:
4.47,
2
4
14.47
Step-by-step explanation:
A piece of aluminum with a mass of 100.0 g has a temperature of 20.0°C. It absorbs 1100 J of heat energy. What is the final temperature of the metal?
Answer:
31.81°CStep-by-step explanation:
Using the formula for calculating heat energy H = mcΔT
m = mass of the aluminum (in g/kg)
c = specific heat capacity of aluminum
ΔT = change in temperature = T - Ti (in °C)
T is the final temperature
Ti is the initial temperature
Given m = 100.0g, c = 0.931096J/g °C, Ti = 20°C, H = 1100J T = ?
Substituting the given values into the formula;
1100 = 100*0.931096 (T - 20)
1100 = 93.1096T - 1862.192
93.1096 T = 1100+1862.192
93.1096 T = 2962.192
T = 2962.192/93.1096
T = 31.81°C
The final temperature of the metal is 31.81°C
Answer:
31.81c
Step-by-step explanation:
1100 = 100*0.931096 (T - 20)
1100 = 93.1096T - 1862.192
93.1096 T = 1100+1862.192
93.1096 T = 2962.192
T = 2962.192/93.1096
T = 31.81°C