Answer:
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Simplify the square root of negative 18
Answer:
[tex]3i\sqrt{2}[/tex]
Step-by-step explanation:
If we have the expression [tex]\sqrt{-18}[/tex], we can divide -18 by 2.
[tex]\sqrt{2\cdot-9}[/tex]
The square root of 9 is 3, and since we’re finding the square root of a negative number, we append the “i” to the term: so 3i.
This goes outside the root, making the expression [tex]3i\sqrt{2}[/tex].
Hope this helped!
Jessica finished a race that was 5 miles long in 30 minutes and 15 seconds. Casey finished a race that was 2 miles log in 11 minutes and 8 seconds. Who has the faster rate? Explain your reasoning.
Answer:
Casy
Step by step explanation:
You divide the miles by their time
It took Jessica 6 minutes and .03 seconds to finish a mile
It took Casy 5 minutes and 54 seconds to finish a mile
Casy is .09 Seconds quicker than Jessica
sorry for the trouble
Step-by-step explanation:
Hey, there!
As it is a Right angled triangle, taking reference angle as angle B.
hypotenuse (h)= AB
perpendicular (p)= 12
base (b)= 24.
Now, let's look which ratio can be used here as p and b are given. Let's use tan ratio here.( as tan = p/b)
[tex] \tan(theta) = \frac{p}{b} [/tex]
[tex]tan(theta) = \frac{12}{24} [/tex]
[tex] \tan(theta) = \frac{1}{2} [/tex]
or, tan theta = (0.5)
Shifting tan to right side making it inverse.
or, theta = tan inverse (0.5)
Therefore, theta = 26.56° or 27° { by rounding off 26.56° we get 27°}.
Hope it helps......
The step function f(x) is graphed.
What is the value of f(0)?
-2
-1
0
1
Answer:
The value of f(0) is Option (A) : - 2
Please help on this question
Answer:
Hey mate!
Using Unitary Method, we get :
2 people -> 5 hours
1 person -> 5/2 = 2.5 hours
3 people -> 2.5 hours * 3 peoples
-> 7.5 hours
-> 7.5 * 60 = 450 mins.
I am always glad to help :)
Answer:
3 people can plow a field in 450 minutes.
Step-by-step explanation:
This is a rate/ratio problem, so we have to make sure it's fully simplified.
First, you already know the ratio is 2 people can plow a field in 5 hours, so 2:5.
But that's not the unit rate.
To find the unit rate, you find how much an individual by itself can do their work, and divide numerator by denominator.
In this case, you do 5/2: which is 2.5.
It take's 2.5 hours for one person. Now you multiply by 3 people to get the ratio; since you already found the rate.
2.5x3 is 7.5, and that's in hours. 1 hour is 60 minutes, to find 7 hours, you do 60x7 and get 420 minutes. You add 30 minutes from the remaining half hour.
that results in 450 minutes.
3 people can plow a field in 450 minutes.
There are four triangles and 16 squares what is the simplest was ratio of triangles to squares
f(x)=x^2+4x-6 a) f(x) can be written in the form (x+m)^2+n find the value of m and the value of n b) use your answer to part (a) to find the positive solution to x^2+4x-6=0
Answer:
see explanation
Step-by-step explanation:
Using the method of completing the square.
Given
f(x) = x² + 4x - 6
add/subtract ( half the coefficient of the x- term )² to x² + 4x
f(x) = x² + 2(2)x 6 + 4 - 4 - 6
= (x + 2)² - 10
with m = 2 and n = - 10
To solve the equation let f(x) = 0 , that is
(x + 2)² - 10 = 0 ( add 10 to both sides )
(x + 2)² = 10 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{10}[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\sqrt{10}[/tex]
The positive solution is
x = - 2+ [tex]\sqrt{10}[/tex] ≈ 1.16 ( to 2 dec. places )
#1) Select the lie from the dropdown below.
A)
All real numbers are
whole numbers.
B)
All whole numbers are
real numbers
C)All integers are rational
numbers.
Int.
Answer:
A
Step-by-step explanation:
Think of this always
Whole Numbers > integers > rational numbers > Real numbers
Not all real numbers are whole numbers. It could be and integer like 1.5 which is a real number but not a whole number. So A is lying.
Answer:
The Answer is A.
Step-by-step explanation:
All numbers are real numbers but not all real numbers are a whole. I can't give any further explanation but this is what we were taught when I was younger so it should be correct.
Combine these radicals.
Answer:
2 root 3 (b)
Step-by-step explanation:
root 27 -root 3
root 27 is 3root 3
3 root 3-root 3
so, 2root3.
I think this is the ans.
Answer:
2 root 3
Step-by-step explanation:
What is 8c + 10b ÷ 7a if c = 7, b = 12, and a = 5 Please give a full and good explanation for a brainliest...
Answer:
141 5/7
Step-by-step explanation:
8c + 10b ÷ 7a
Let c = 7, b = 12, and a = 5
8*7 + 10*12 ÷ 7*5
Multiply and divide from left to right
56+120 ÷7*5
56+ 600/7
Get a common denominator
392/7 + 600/7
992/7
Change from an improper fraction to a mixed number
141 5/7
Answer:
416 3
= -------- or 59 ----
7 7
Step-by-step explanation:
8c + 10b ÷ 7a
if c = 7, b = 12, and a = 5
plug in values:
= 8(7) + 10(12) ÷ 7(5)
= 56 + 120 / 35
= 56 + 24/7 ---- convert into factions
56 * 7 24
= -------- + ------
7 7
sine the denominator are equal, combine the fraction
56 * 7 + 24
= -----------------
7
416 3
= -------- or 59 ----
7 7
Maiden earned 84$ last week. Peter earned only 12$. Maidens earnings are how many times greater than Peter's. Write an equation for the problem, and solve.
Answer:
7 times greater
Step-by-step explanation:
This is because 84 divided by 12 is 7, so i guess that is your answer.
hope this helps
Laurie was completing the treasurer's report for her son's Boy Scout troop at the end of the school year. She didn't remember how many boys had paid the $24 full-year registration fee and how many had paid a $16 partial-year fee. She knew that the number of boys who paid for a full-year was ten more than the number who paid for a partial-year. If $400 was collected for all the registrations, how many boys had paid the full-year fee and how many had paid the partial-year
Answer:
14 boys paid for the full year fee and 4 boys paid for the partial year fee
Step-by-step explanation:
Create a system of equations, where x is the number that paid for the $24 fee and y is the number that paid for the $16 fee:
24x + 16y = 400
x = y + 10
Solve by substitution by plugging in y + 10 as x:
24x + 16y = 400
24(y + 10) + 16y = 400
Solve for y:
24y + 240 + 16y = 400
40y + 240 = 400
40y = 160
y = 4
Then, plug in 4 as y to find x:
x = y + 10
x = 4 + 10
x = 14
So, 14 boys paid for the full year fee and 4 boys paid for the partial year fee.
List the values in ascending order: -94%, -8/9, -.925, and -9/10
Answer:
-94%, -.925, -9/10, -8/9
Step-by-step explanation:
-.94, -.8, -.925, -.9
-.94, −0.925, −0.9, -0.8
What is f(x) type in the number
X=3
F(x) =-2x+4
F(x)=
Answer:
10
Step-by-step explanation:
10. ................ ..........
--3(p+1) <-18 solving inequalities with graphs i need help
Answer:
p<5
Step-by-step explanation:
-3(p+1)<-18
-3p-3<-18
+3 +3
-3p<-15
-3p/3<-15/-3
p<5
I NEED THIS ANSWER ASAP!!!! John painted his most famous work inhis country, in 1930 on composition board with perimeter 108.39 in. If the rectangular painting is 5.89 in. taller than it is wide, find the dimensions of the painting. What is the width?
Answer:
25.15 in
Step-by-step explanation:
let's say that x = wide
so x+5.89=length
the perimeter is = 2(width +length)
P=2(x+x+5.89)
108.39=2(2x+5.89)
2x+5.89=54.195
2x=48.305
x=24.1525 in
which is 24.15 in
Lines b and c are parallel. Which pairs of angles are supplementary?
Select all that apply.
1 and 8
2 and 4
3 and 5
6 and 7
Answer:
3 and 5
The angles that are vertically adjacent to the transversal.. when it cuts two parellel lines are always supplementary.. that is they make 180 degree.. hence, in the given pair 3 and 5 are supplementary..
as they lie on the transversal
C=2pi r. What is pi?
Answer: 3.14
Step-by-step explanation:
IF DE = 10x + 12, EF = 4x - 15, and DF = 2x + 21, find DF. [In your solution, put
DF =YOUR ANSWER]
Answer:
Hey there!
10x+12+4x-15=2x+21
14x-3=2x+21
12x=24
x=2
DF= 2x+21
DF=4+21
DF=25
Let me know if this helps :)
4m-3/4=-9+4m/8 this is my question that i need help with
Answer:
The answer is -2 5/14 if you're trying to solve for m
Step-by-step explanation:
first you get rid of the fractions by mutiplying both sides by 4.
4(4m-3/4)=(-9+4m/8)4
16m-3=-36+2m then you put the varible terms on one side and the numbers on one side
14m=-33
then divide -33 by 14
which will give you the fraction -2 5/14 unless you want decimal form which would be around -2.36
Answer:
[tex]m=-\frac{33}{14}[/tex]
Step-by-step explanation:
[tex]4m-\frac{3}{4}=-9+\frac{4m}{8}[/tex]
[tex](4m-\frac{3}{4})8=(-9+\frac{4m}{8})8[/tex] multiply by 8 to get rid of the largest denominator
[tex]32m-\frac{24}{4}=-72+4m[/tex]
[tex]32m-6=-72+4m[/tex]
[tex]32m-4m=-72+6[/tex] Rearrange the equation and Collect like-terms
[tex]28m=-66[/tex]
[tex]m=-\frac{66}{28}[/tex] simplify
[tex]m=-\frac{33}{14}[/tex]
which of the following units is incommensurable with kilograms? A.pounds B.ounces C.tons D.gallons
Answer: D.gallons
Step-by-step explanation:
Kilogram is a unit of mass
Now, Pounds, Tons and Ounces are also units of mass.
But Gallons is a unit of volume, where 1 gal = 3.785 L
Then you never can represent an amount of mass using units for volume, which means that gallons is incommensurabe with kilograms.
the correct option is D
Carolyn has 9 quarters, 4 dimes, 7 nickels, and 2 pennies. Write and evaluate the expression to determine how much money she has.
Answer:
3.02
Step-by-step explanation:
quarters are .25
dimes are .10
nickels are .05
pennies are .01
9 * .25 + 4 * .10 + 7 *.05 + 2 *.01
2.25+0.4+0.35+0.02
3.02
When x=3 ,y=16 and when x=6 y=8. Which inverse variation equation can be used to model this function?
Answer:
[tex]y=\frac{48}{x}[/tex]
Step-by-step explanation:
When x = 3, y = 16
When x = 6, y = 8
We need to model the inverse variation.
Inverse Variation : When one value increase another value decrease. But product of both always constant.
[tex]xy=k[/tex]
when x=3, y=16
k=48
When x=6, y=8
k=48
Model of the inverse variation:
[tex]y=\frac{48}{x}[/tex]
Hence, The model of inverse variation is
[tex]y=\frac{48}{x}[/tex]
Answer:
The inverse variation equation can be used to model this function is:
[tex]y=\frac{48}{x}[/tex]
Step-by-step explanation:
An inverse relationship between two variables implies that if the value of one variable increases the value of the other variable will decreases and vice-versa.
The inverse function describing the relationship between x and y is as follows:
[tex]y=\frac{a}{x}[/tex]
Here, a is a constant.
It is provided that when the value of x is 3 the value of y is 16.
Compute the value of a as follows:
[tex]y=\frac{a}{x}[/tex]
[tex]16=\frac{a}{3}\\\\[/tex]
[tex]a=48[/tex]
It is also provided that when the value of x is 6 the value of y is 8.
Compute the value of a as follows:
[tex]y=\frac{a}{x}[/tex]
[tex]8=\frac{a}{6}\\\\[/tex]
[tex]a=48[/tex]
The value of a is 48.
Then the inverse variation equation can be used to model this function is:
[tex]y=\frac{48}{x}[/tex]
L and Y are located on L ( -7, 0) , Y ( 5, 9 ). what is the distance between L and Y?
Answer:
The distance between L and Y is 15
Find the sum of -2 + i and its complex conjugate.
Write your answer in the form a + bi.
Answer:
- 4
Step-by-step explanation:
The conjugate of - 2 + i is - 2 - i, thus
- 2 + i + (- 2) - i
= - 2 + i - 2 - i ← collect like terms
= - 4 ← in the form a + bi with b = 0
The sum of -2 + i and its complex conjugate is:
w = -4 + 0i
How to find the sum?
The complex conjugate of a number z = a + bi is:
z' = a - bi.
Then the complex conjugate of -2 + i is -2 - i.
The sum will give:
w = -2 + i + (-2 - i) = -4 + 0
Writing it in the wanted form we get:
w = -4 + 0i
If you want to learn more about complex numbers, you can read:
https://brainly.com/question/10662770
#SPJ2
Draw a diagram. Write the Segment Addition Postulate for the points described. Then solve for missing length.
9. T is between M and N if NT=x+5, MN=3x, and MT=7, what is MN?
Please show all work and not just answers.
Answer:
MN= 18
Step-by-step explanation:
NT=x+5
MN=3x
MT=7
MT+NT=MN
=>7+x+5=3x
=>12+x=3x
=>x-3x=-12
=>-2x=-12
=>x=12/2
=>x=6
MN=3x=3 * 6 = 18
Can y’all help please
Answer:
-4, 4
Step-by-step explanation:
it seems the most reasonable answer since the dot is not super close to the 6, 6 and it isnt close enough to be 1, 5 or 5, 1 so the answer must be -4, 4
Jade and Ali set the alarms on their phones to sound at 7.15 am.
Both alarms sound together at 7.15am.
Jade's alarm then sounds every 40 minutes.
Ali's alarm then sounds every 60 minutes.
At what time will both alarms next sound together?
Answer:
9:15 am
Step-by-step explanation:
Alarms sound at 7:15 am
Alarm frequencies are 40 min and 60 min
Since 40= 20*2 and 60= 20*3, the overlapping frequency is:
20*2*3= 120 min = 2 hoursSo next time both alarms sound at 7:15 am + 2 hours = 9:15 am
Answer:
Trust me its 9:15 am
Step-by-step explanation:
It's a word problem junkie. Is a bus driver who earns 1600 dollars per month login is a is a manager who earns 6800 dollars per month. In 2012 Jun bro donated a total of 1200 dollars to charity while login donated4500dollars to charity who donated the higher percentage of money
Answer: bus driver
Step-by-step explanation:
Given: Earning of bus driver = 1600 dollars per month
Earning of manager = 6800 dollars per month
Amount donated by bus driver = 1200 dollars
Amount donated by manager = 4500 dollars
Percentage of amount donated by bus driver = [tex]\dfrac{1200}{1600}\times100 \%=\dfrac{3}{4}\times100\%=75\%[/tex]
Percentage of amount donated by manager = [tex]\dfrac{4500}{6800}\times100 \%\approx66.18\%[/tex]
Clearly, 75> 66.18
So, bus driver donated higher percentage of money.
T is the midpoint of S and U. ST=7x+4 & TU=10x-2. What is the value of SU?
Answer:
SU = 36
Step-by-step explanation:
T is the mid point so the distance of ST and TU is the same. Since ST and TU are the same, 7x + 4 = 10x - 2.
Solve for x
7x + 4 = 10x - 2
7x - 10x = - 2 - 4
-3x = -6
x = 2.
Find SU
SU = ST + TU
= (7x + 4) + (10x - 2)
substitute the value for x into the equation (x=2)
[7(2) + 4] + [10(2) - 2] = 36
I hope this helps :)