What is the slope of a line that is perpendicular to the line y = 1/6 x + 4? The slope of the line is .
Answer:
-6
Step-by-step explanation:
The slope of a perpendicular line has the slope of the opposite and reciprocal of the current line. We would get -1/6 and then -6.
Emma volunteered at an animal shelter for a total of 119 hours over 6 weeks. Estimate the number of hours she volunteered each week
Answer:
20 hours
Step-by-step explanation:
2 + x to the power of 3= 18 what is x
Answer:
2.5198421
Step-by-step explanation:
A container in the shape of a cube has a capacity of 8 litres. Find the height
the container in cm.
Answer:
b
Step-by-step explanation:
n
simplify 48 divided by (-12) will give brainliest
Answer:
-4
Step-by-step explanation:
Answer:
the answer is -4. it's the same as dividing by a positive, except the number will be negative now :)
Mary picked 15 flowers from her garden that were pink and yellow. If 3 out of 5 of these flowers were yellow, how many flowers did Mary pick that were pink
Answer:
id say 10 but im dumn if get wrong do not star me 5 only one star
Step-by-step explanation:
Answer: 6 of the flowers are pink
Step-by-step explanation:
If 3/5 of the flowers are yellow you would convert the 3/5 into a 9 because 1/5 of 15 is 3 so you would multiply 3 by 3 to get nine. By doing this you will find out the 2/5 or the remaining flowers are pink which makes 6 pink flowers.
Laws of Exponents
Instruction Active
Simplifying Products and Quotients of Powers
7² 78
74
a=
=
79
75
-
75
b=
Answer:
a = 10 and b = 6
Step-by-step explanation:
I am having a little trouble reading the numbers, but I think that I see
[tex]\frac{7^{2} 7^{8} }{7^{4} }[/tex]
If we wrote this in expanded form, it would look like:
[tex]\frac{7x7x7x7x7x7x7x7x7x7}{7x7x7x7}[/tex] How many 7s are on the top? 10 That is the answer to a. The product of powers principle tells us that if we are multiplying powers with the same bases we add the exponents 2 + 8 = 10
[tex]\frac{^{10} }{7^{4} }[/tex]
Now it looks like
[tex]\frac{7x7x7x7x7x7x7x7x7x7}{7x7x7x7}[/tex] if we cross the 7's out in the top and the bottom, we are left with 6 7's on the top. That is the answer to b.
The quotient of powers principle tells us that if we are dividing powers with the same bases, we can subtract the exponents (10 -4 = 6)
Use benchmark fractions and estimation to solve this problem: 1/5 + 4/5
Answer:
The answer is 1
Step-by-step explanation:
1/5 + 4/5 = 5/5
5/5 = 1
what would be the slope for (-4,-7) (-6,4)
Answer:[tex]\frac{11}{-2}[/tex]
Step-by-step explanation:
ok so I'm going to try to show it the best c an
m = slope
the equation you use is
[tex]\frac{y2-y1}{x2-x1} =[/tex] m
so when using that formula with the cords, you get
[tex]\frac{4-(-7)}{-6-(-4)}[/tex]
and then subtract everything and you'll get
[tex]\frac{11}{-2}[/tex]
Juan’s father is paying for a $45 meal. He has a 10%-off coupon for the meal. After the discount, an 8% sales tax is applied. What does Juan’s father pay for the meal? Explain or show your reasoning.
Answer:
$43.74
Step-by-step explanation:
will pay= $45
10% of =$45×10/100=$4.5
so, $45-$4.5= $40.5
8% tax= $40.5×8/100 =$3.24
total= $43.74
Joe collects Pokemon cards. He already has 100 and buys a dozen more each week when he goes to the store. Jessica also collects Pokemon cards. She has 130 cards, and buys 6 more each week at the store.After how many weeks would the two kids have the same amount of cards?
Answer:
5 weeks
Step-by-step explanation:
To find the answer to this question we have to write an equation for both situation and put them equal to each other.
Let's write an equation for Joe:
12x + 100
Now, for Jessica
6x + 130
Next, put them equal to each other:
12x + 100 = 6x + 130
Solve:
12x + 100 = 6x + 130
6x + 100 = 130
6x = 30
x = 5
Therefore, it will take 5 weeks for Joe and Jessica to have the same amount of cards.
Check:
12(5) + 100 = 6(5) + 130
60 + 100 = 30 + 130
160 = 160
I hope this helps!!
- Kay :)
11. y-61 = -35
Help!!
I need help, I got 80 and 90 but it said I was wrong...
Answer:
I think it is 90 and 100
Step-by-step explanation:
I used this equation: x is the speed of the slower train
910 = (5x + 10) + 5x
Answer:
The answer is 86 and 96 mph
Step-by-step explanation:
Givens
Train A
Distance traveled = d
time taken = 5 hours
rate traveled = r
Train B
Distance traveled = 910 - d
time taken = 5 hours
rate = r + 10
Formula
basically d = r * t
Solution
Train A: d/r = 5 or d = 5*r
Train B = (910 - d)/(r + 10) = 5 or
Substitute d = 5*r into Train B
(910 - 5*r)/(r + 10) = 5 Multiply both sides by r + 10
(910 - 5r) = 5 * (r + 10) Remove the brackets on both sides
910 - 5r = 5r + 50 Add 5r to both sides
910 = 5r + 5r + 50
910 = 10r + 50 Subtract 50 from both sides
910 - 50 = 10r Combine the left
860 = 10r
10r = 860 Divide by 10
r = 860/10
r = 86
r + 10 = 96
Check
Train A distance: 5*r = 5 * 86 = 430
Train B distance: 5*r = 5 * 96 = 480
Total = 910
1
Question 2 of 5 (1 point) Que
3
Calculate the distance between the point (-8,0) and (-5, 3) in the coordinate plane.
Round your answer to the nearest hundredth
Distance:
The distance between (-8,0) and (-5,3) in the coordinate plane is 9 units.
Given that the coordinates of points in the coordinate plane are (-8,0) and (-5,3).
We are required to find the distance between the given points.
Distance is basically a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to physical length or an estimation based on other criteria.
Distance between (-8,0) and (-5,3)=[tex]\sqrt{(-5+8)^{2} +(3-0)^{2} }[/tex]
=[tex]\sqrt{3^{2} +3^{2} }[/tex]
=[tex]\sqrt{9+9}[/tex]
=[tex]\sqrt{81}[/tex]
=9 units
Hence the distance between (-8,0) and (-5,3) in the coordinate plane is 9 units.
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PLEASE HELP MARKING PEOPLE AS BRAINLIST ALL DAY LONG
Answer:
x=17. I think.....
Step-by-step explanation:
Answer:
x = 17
Step-by-step explanation:
Since the two angles are vertical to each other they have the same measure.
x + 35 = 3x + 1 (subtract 1 on both sides)
x + 34 = 3x (subtract x on both sides)
34 = 2x (divide by 2 on both sides)
17 = x
Hope this helps ya!!
PLEASE ANSWER QUICK 90 POINTS AND BRAINLIEST
Answer:
okay show me itStep-by-step explanation:
I am up for it whatever you needYESS
Because these are f r e e points
I CANT FIGURE THIS OUT PLEASE HELP ME FIND angles FAB and BAC
Landon invested $110 in an account paying an interest rate of 4.1% compounded
continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest hundred dollars, would be in the account after 5 years?
Answer:
the amount after 5 years using compound continuously is $135.03
Step-by-step explanation:
The computation of the amount after 5 years using compound continuously is as follows
= Principal × e^(rate × time period)
= $110 × e^(4.2% × 5)
= $110 × 1.227525065
= $135.03
Hence, the amount after 5 years using compound continuously is $135.03
We simply applied the above formula so that the correct value could come
And, the same is to be considered
3. Metal is made using Copper, zine and lead in the ratio 13:6:1, the mass of the zinc is 90kg, calculate
1) the total mass of metal
2) the mass of the copper
3) the mass of the lead as a % of the total mass of the metal
Answer:
1) 150 kg
2) 97.5 kg
3) 5%
Step-by-step explanation:
Ratios of each metal to total mass of metal can be computed by dividing its corresponding value by the sum of all the values in the ratio
The ratio of zinc to metal = 6/(13 + 6 + 1) = 6/20 = 3/10
Let the total mass of the metal be X
Then mass of zinc = (3/5)X = 90 kg (given)
1) Multiplying both sides by 5/3 gives X = 5/3 x 90 = 150 kg which is the total mass of metal
2) Ratio of copper to metal mass = 13/20
Mass of copper = 13/20 x 150 = 97.5 kg
3) Mass of lead as a ratio of metal = 1/20 = 0.05
As percentage, multiply by 100 to get 0.05 x 100 = 5%
Without graphing, classify each system
independent, dependent, or inconsistent.
3y + 2x= 12
36 - 9y = -6x
Answer:
The solution to the system of equations be:
[tex]y=4,\:x=0[/tex]
As the consistent system of equations has only one solution, it is independent.
Step-by-step explanation:
Given the system of equations
[tex]3y + 2x= 12[/tex]
[tex]36 - 9y = -6x[/tex]
solving the system of equations
[tex]\begin{bmatrix}3y+2x=12\\ 36-9y=-6x\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}3y+2x=12\\ -9y+6x=-36\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}3y+2x=12\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:9y+6x=36[/tex]
[tex]\begin{bmatrix}9y+6x=36\\ -9y+6x=-36\end{bmatrix}[/tex]
so
[tex]-9y+6x=-36[/tex]
[tex]+[/tex]
[tex]\underline{9y+6x=36}[/tex]
[tex]12x=0[/tex]
[tex]\begin{bmatrix}9y+6x=36\\ 12x=0\end{bmatrix}[/tex]
solve 12x=0 for x
[tex]12x=0[/tex]
Divide both sides by 12
[tex]\frac{12x}{12}=\frac{0}{12}[/tex]
[tex]x=0[/tex]
[tex]\mathrm{For\:}9y+6x=36\mathrm{\:plug\:in\:}x=0[/tex]
[tex]9y+6\cdot \:0=36[/tex]
[tex]9y=36[/tex]
Divide both sides by 9
[tex]\frac{9y}{9}=\frac{36}{9}[/tex]
[tex]y=4[/tex]
Thus, the solution to the system of equations be:
[tex]y=4,\:x=0[/tex]
As the consistent system of equations has only one solution, it is independent.
The sum of two numbers is 10 and the difference is 6. What is the
product of the two numbers? Provide evidence of your work in your
answer
Your answer
This is a required question
Answer:
4
Step-by-step explanation:
If the sum is 10 and 6 is one of the numbers that makes up 10, all you have to do is subtract 6 from 10 and you get 4.
hope this helps
sorry if it wrong
what is the slope of a line parallel to the function y=1/2x + 4
Answer:
1/2
Step-by-step explanation:
parallel slopes are exactly the same
Answer:
slope is 1/2
Step-by-step explanation:
the function y = 1/2 x+4 has the slope 1/2 because y=mx+b where m is slope
Tne slope of a parallel line to this function is the same m=1/2 because parallel lines have same slope
The table shows the ratio between the number of packets and the number of seeds of a certain plant contained in them:
Number
of packets Number
of seeds
5 10
6 12
7 14
Which graph shows equivalent ratios?
Answer:
C would be your answer
Step-by-step explanation:
4.5lb times $15 per pound
Answer:
$67.50
Step-by-step explanation:
You would just multiply 4.5x15
Hope this helps!
-AxekickNebulite
Suppose lines EF and GH are reflected over the line y = x to form the lines JK and LM. Which statement would be true about the lines?
A.
Line JK and line LM will be parallel.
B.
Line JK and line LM will be perpendicular.
C.
The slope of line JK will be the same as the slope of line EF.
D.
The slope of line LM will be the negative reciprocal of the slope of line GH.
Answer:
A.
Step-by-step explanation:
I believe the answer is A. (Line JK and line LM will be parallel) because lines EF and GH are parallel. Therefore if the are just reflected, the new set of lines will also be parallel.
EF: (-9,1) (-4,9)
[tex]\frac{1-9}{-9+4}[/tex] = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex] or 1.6
GH: (-5,-2) (0,6)
[tex]\frac{-2 - 6}{-5-0}[/tex] = [tex]\frac{-8}{-5}[/tex] = [tex]\frac{8}{5}[/tex] or 1.6
Same slope and different y-intercept means the lines a parallel
HELP NOW PLEASE -2n-3 > 33
Answer:
n< -18
Step-by-step explanation:
The triangles are similar.
What is the value of x?
Enter your answer in the box.
x =
Locate the point in the complex plane and express the number in polar form.
Answer:
We kindly invite you to see the result in the image attached below.
The number in polar form is [tex]z = 3\sqrt{5}\cdot e^{i\cdot 0.352\pi}[/tex].
Step-by-step explanation:
A complex number is represented by elements of the form [tex]a + i\,b[/tex], for all [tex]a[/tex], [tex]b[/tex] [tex]\in \mathbb{R}[/tex]. The first part of the sum is the real component of the complex number, whereas the second part of the sum is the imaginary component of the complex number. The real component is located on the horizontal axis and the imaginary component on the vertical axis.
Now we proceed to present the point on the graph: ([tex]a = 6[/tex], [tex]b = 3[/tex]) We kindly invite you to see the result in the image attached below.
The polar form of the complex number is defined by:
[tex]z = r\cdot e^{i\cdot \theta}[/tex] (1)
Where:
[tex]r[/tex] - Magnitude of the complex number, dimensionless.
[tex]\theta[/tex] - Direction of the complex number, measured in radians.
The magnitude and the direction of the complex number are defined by the following formulas:
Magnitude
[tex]r =\sqrt{a^{2}+b^{2}}[/tex] (2)
Direction
[tex]\theta = \tan^{-1} \frac{b}{a}[/tex] (3)
If we know that [tex]a = 6[/tex] and [tex]b = 3[/tex], then the polar form of the number is:
[tex]r =\sqrt{6^{2}+3^{2}}[/tex]
[tex]r = 3\sqrt{5}[/tex]
[tex]\theta = \tan^{-1} \frac{6}{3}[/tex]
[tex]\theta \approx 0.352\pi \, rad[/tex]
[tex]z = 3\sqrt{5}\cdot e^{i\cdot 0.352\pi}[/tex]
The number in polar form is [tex]z = 3\sqrt{5}\cdot e^{i\cdot 0.352\pi}[/tex].
A plane traveled 3900 miles with the wind in 6.5 hours and 3250 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind.
The speed of plane in still air will be 550 miles / hour and speed of wind will be 50 miles / hour.
It is given that a plane traveled 3900 miles in 6.5 hours with wind and 3250 miles in 6.5 hours against wind.
We have to find out the speed of plane in still air and speed of wind.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , division , etc.
As per the question ;
Distance travelled with wind in 6.5 hours = 3900 miles
Distance travelled against wind in 6.5 hours = 3250 miles
Let's assume speed of plane in still air be P and speed of wind be W.
So;
The total rate with the wind is the plane speed plus the wind speed and against the wind is speed of plane minus speed of wind.
i.e.,
d = rt
⇒ 6.5 ( P + W ) = 3900 miles --- ---- --- --- -- ------- ----- --- Equation 1
and
⇒ 6.5 ( P - W ) = 3250 miles --- ---- --- --- -- ------- ----- --- Equation 2
Let's solve the equations to get value of P and W ;
i.e.,
P + W = 3900 / 6.5
or
P + W = 600
and
P - W = 3250 / 6.5
or
P - W = 500
adding both equations ; we get ;
2P = 1100
or
P = 550 miles / hour
And
W = 50 miles / hour
Thus , the speed of plane in still air will be 550 miles / hour and speed of wind will be 50 miles / hour.
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what's the length between (17,8) and (4,12)
Answer: D=[185]^1/2 or 13.6
(I think but idk... sorry if not correct)
Step-by-step explanation:
D=[(12-8)^2+(4-17)^2]^1/2
D=[(4)^2+(-13)^2]^1/2
D=[16+169]^1/2
D=[185]^1/2
Answer:
Step-by-step explanation:
[tex]d=\sqrt{(4-17)^2+(4-8)^2} =\sqrt{169+16} =\sqrt{185}[/tex]