Answer:
[tex]2[/tex] would be the slope of a line that goes between [tex](-4,\, -8)[/tex] and [tex](3,\, 6)[/tex].
Step-by-step explanation:
Given a line that goes through two points, [tex](x_{0},\, y_{0})[/tex] and [tex](x_{1},\, y_{1})[/tex] ([tex]x_{0} \ne x_{1}[/tex],) the slope of this line would be equal to the "rise over run" between these two points.
"Rise" refers to the change in the [tex]y[/tex]-coordinate between the two points, [tex](y_{1} - y_{0})[/tex]. Similarly, "run" refers to the change in the [tex]x[/tex]-coordinate, [tex](x_{1} - x_{0})[/tex].
[tex]\begin{aligned} \text{slope} &= \frac{\text{rise}}{\text{run}} \\ &= \frac{y_{1} - y_{0}}{x_{1} - x_{0}}\end{aligned}[/tex].
For [tex](-4,\, -8)[/tex], the [tex]x[/tex]-coordinate is [tex]x_{0} = (-4)[/tex] and the [tex]y[/tex]-coordinate is [tex]y_{0} = -8[/tex].
For [tex](3,\, 6)[/tex], the [tex]x[/tex]-coordinate is [tex]x_{1} = 3[/tex] and the [tex]y[/tex]-coordinate is [tex]y_{1} = 6[/tex].
The "rise" between these two points would be [tex]y_{1} - y_{0} = 6 - (-8) = 14[/tex].
The "run" between these two points would be [tex]x_{1} - x_{0} = 3 - (-4) = 7[/tex].
Thus, the slope of a line that goes through the two points would be:
[tex]\begin{aligned} \text{slope} &= \frac{\text{rise}}{\text{run}} \\ &= \frac{y_{1} - y_{0}}{x_{1} - x_{0}} \\ &= \frac{14}{7} \\ &= 2\end{aligned}[/tex].
Sarah can make a lemonade drink by mixing 3 cups of lemonade powder with 7 cups of water are necessary to make five lemonade drinks
simplify
[tex](1.25× {10}^{ - 8} )×(8.35× {10}^{ - 5} )[/tex]
simplify
Answer dam it wont let me put it
Step-by-step explanation:
abc
Sally can paint a room in 4hours while it takes Steve 3 hours to paint the same room. How long would it take them to paint the room if they worked together.
It would take ___ hours.
(Type an integer of decimal rounded to one decimal place as needed)
Answer:It would take 1.700 hours.
Step-by-step explanation:
Answer:
Step-by-step explanation: then it would be 7 or 9 hours
bottom term of a fraction is called
Answer:
The denominator
Step-by-step explanation:
the top is the numerator
(-7)(1.2) multiplying rational numbers
Answer:
-119
Step-by-step explanation:
Answer:
-8.4
Step-by-step explanation:
-7 x 1.2
what is 20/10 as a whole number
Hi there!
The answer is 2
If you divide 20 by 10, you will get 2 (it's a fact)
Hope it helps
~Just a joyous teen
#CarryOnLearning
Answered by
[tex]-SilentNature-[/tex]
3. Weight of cats, in pounds: 9, 11, 11, 12, 14, 14, 15, 15, 16, 17, 18, 18, 20, 22
Lowest value:
Highest value:
Spread:
Center value:
________
[tex] \: [/tex]
Weight of cats, in pounds: 9, 11, 11, 12, 14, 14, 15, 15, 16, 17, 18, 18, 20, 22
Lowest value: 9
Highest value: 22
Spread: 9 = 1, 11 = 2, 12 = 1, 14 = 2, 15 = 2, 16 = 1, 17 = 1, 18 = 2, 20 = 1, 22 = 1
Center value: (15 + 15)/2 = 30/2 = 15
Julie has 300ml of juice, She gives of the juice away.
How much juice does she give away?
Answer: Up to 300 ml because that is all she has in total. I think the question is missing parts.
Step-by-step explanation:
What are the coordinates for a
[tex] \frac{dh}{dt} = - \sqrt{5h} [/tex]
Determine
[tex] \frac{ {d}^{2}h }{d {t}^{2} } [/tex]
at h=16
I have attempted this and keep on getting about -0.28, but that is not an option.
If
[tex]\dfrac{dh}{dt} = -\sqrt{5h} = -\sqrt{5} \cdot h^{\frac12}[/tex]
then its derivative, using the power rule, is
[tex]\dfrac{d^2h}{dt^2} = -\sqrt{5} \cdot \dfrac12 h^{1-\frac12} = -\dfrac{\sqrt5}2 h^{-\frac12} = -\dfrac{\sqrt5}{2\sqrt h} = -\sqrt{\dfrac{5}{4h}}[/tex]
At h = 16, the second derivative has a value of
[tex]-\sqrt{\dfrac{5}{4\cdot16}} = -\sqrt{\dfrac{5}{64}} = -\dfrac{\sqrt5}{8} \approx -0.279508[/tex]
Your answer is essentially correct. Either what you submitted doesn't have enough precision or you're expected to give an exact answer (-√5/8).
What's the present value of $9,500 discounted back 5 years if the appropriate interest rate is 4.5%, compounded semiannually?
Answer:
$427.50
Step-by-step explanation:
I think this is the answer because 4.5 percent of $9,500 is $427.50
The answer to
The square root of 54
lies between two consecutive integers.
Use your knowledge of square numbers to state which
two integers it lies between.
The square root of 54 is between blank and blank
an
Answer:
7 and 8
Step-by-step explanation:
[tex]7^{2} =48[/tex]
[tex]8^{2}=64[/tex]
Which rational number also belongs to the set of whole numbers?
Answer:
Answer: A) 15
A natural number is basically a counting number {1, 2, 3, 4, 5, ...} so any positive whole number. That is why 15 is the answer. Choices B and D are fractional values, so we can rule them out. We can rule out choice C because this value is negative.
Step-by-step explanation:
Solve the following equation for
y.
y+ 20 = x
Answer:
Y = x - 20
X = y + 20
Step-by-step explanation:
Please vote as brainliest!
There are about 1.61 kilometers in 1 mile. Let x represent the distance measured in kilometers and y represent the same distance measured in miles. Write two equations that relate a distance measured in kilometers and the same distance measured in miles.
kilometers = miles * 1.61
Miles = kilometers / 1.61
Now replace miles with y and kilometers with x
x = 1.61y
y = x/1.61
A. Direction: Arrange the given number tiles in a correct order to make it divisible to the given number. Apply the divisibility rules. Given Answer 3 8 4 3 2 9 1 6 8 3 8 3 8 0 5 1. Divisible by 8 2. Divisible by 4 3. Divisible by 11 4. Divisible by 12 5. Divisible by 4 6. Divisible by 8 7. Divisible by 11 8. Divisible by 12 9. Divisible by 4 10. Divisible by 8 7. 2 5 4 5 9 1 0 4 7 6 4 1 6 2 1
Mikayla borrowed $ 40 from her mom . The function y = - 8x + 401 represents her outstanding balance y after x weekly payments, find the zero of the function.
Answer:
[tex]\frac{401}{8}[/tex]
Step-by-step explanation:
[tex]\sf{y\:can\:also\:be\:refered\:to\:as\:f(x)}[/tex]
[tex]\sf{Zeros\: are\: also\: called\: roots.}[/tex]
The roots (zeros) are the [tex]x[/tex] values where the graph intersects the [tex]x[/tex]-axis. To find the roots (zeros), replace [tex]y[/tex] with 0 and solve for [tex]x[/tex].
[tex]y = - 8x + 401\\\\0 = - 8x + 401\\[/tex]
[tex]-8x+401=0\\\\-8x+401-401=0-401\\\\-8x=-401\\\\\frac{-8x}{-8}=\frac{-401}{-8}\\\\x=\frac{401}{8}[/tex]
[tex]\sf{Therefore,\: the\: zero\: of\: this\: function\: is\: \frac{401}{8}[/tex]
How do you graph y = -x/5 +4
Answer:
So starting from (0,4) you will go down 1 space and move 5 spaces to the left and you will end up at (5,3)
Step-by-step explanation:
You will start with the y-intercept which is (0,4)
Because [tex]\frac{-x}{5} =\frac{-1}{5}[/tex]
[tex]\frac{-1}{5}[/tex] = slope which is rise/run
So starting from (0,4) you will go down 1 space and move 5 spaces to the left and you will end up at (5,3)
You will repeat this step for every new point you come across
Nigerian Savings Bank pays interest at 9½% per annum compounded yearly. What is the amount if a person saves:
a N 5000 for 2 years
b N10 000 for 4 years
c N28 000 for 3 years?
Answer:
a) N5995.13
b) N14376.61
c) N36762.11
Step-by-step explanation:
For repetitive calculations, I like to use a spreadsheet or graphing calculator. __
The formula for the amount is ...
A = P(1 +r)^t . . . . . . where principal P is invested for t years at rate r compounded annually
a)The principal being invested is P = 5000. The interest rate is r = 9.5% = 0.095, and the time is t = 2 years. Putting these values into the formula gives ...
A = 5000(1 +0.095)^2
= 5000(1.199025) = 5995.125
This rounds to an account balance after 2 years of N5995.13.
The calculations for the other amounts and time periods are done the same way, but for different values of P and t. You can do these calculations by hand, but it is generally much easier to use a calculator, spreadsheet, or other tool.
The attachment shows use of a tool that lets a function be defined that takes P and t as arguments. It is shown as being evaluated for the different values of P and t in this problem.
b)A = N10,000(1 +0.095)^4 = N10,000(1.43766095) = N14376.6095
This rounds to an account balance after 4 years of N14376.61.
c)A = N28000(1.095)^3 ≈ N36762.11
The speed of a stream is 2 mph. A boat travels 20 miles upstream in the same time it takes to travel 40 miles downstream. What is the speed of the boat in still water?
The speed of the boat in still water is mph.
(Simplify your answer. Type an integer or a decimal.)
Answer: The speed of a stream is 4 mph. A boat travels 7 miles upstream in the same time it takes to travel 15 miles downstream. What is the speed of the boat in still water…
Step-by-step explanation: The speed of a stream is 4 mph. A boat travels 7 miles upstream in the same time it takes to travel 15 miles downstream. What is the speed of the boat in still water?
Answer: The speed of a stream is 4 mph. A boat travels 7 miles upstream in the same time it takes to travel 15 miles downstream. What is the speed of the boat in still water…
Step-by-step explanation: hope this helps
Find the area and the circumference of a circle with diameter 7 cm.
Use the value 3.14 for it, and do not round your answers. Be sure to include the correct units in your answers.
cm
Area:
7 cm
Circumference:
Х
Answer:
area = 38.465^2 cm
circumference = 21.98 cm
Step-by-step explanation:
area =
divide the diameter by itself and multiply radius by itself and multiply by 3.14
7/2 = 3.5 | (3.5)^2 = 12.25 | (12.25) (31.4) = 38.465^2 cm
circumference =
multiply the diameter by 3.14
(7) (3.14) | 21.98
^2 (squared)
A recipe calls for 1 1/2 teaspoons of cinnamon to make 2 dozen oatmeal cookies.
How many teaspoons of cinnamon are needed to make 60 oatmeal cookies?
please help
3 3/4
I need to type more, this is just filler. Ignore it.
Aaliyah has a loyalty card good for a discount at her local hardware store. The item she wants to buy is priced at $39, before discount and tax. After the discount, and before tax, the price is $33.54. Find the percent discount.
Answer:
14 % discount
Step-by-step explanation:
Item she wants to buy is priced at $39
After the discount, and before tax, the price is $33.54.
39.00 x .14 = 5.46
39.00 - 5.46 = $33.54
Answer:
16.13
Step-by-step explanation:
Complete this sequence [20] [28] [35] [50] [V]
Answer:
72
Step-by-step Explanation:
28 -20=8
35-27=7
8+7=15
50-35=15
15+7=22
50+22=72
A salesperson works 40 per week at a job where she has two options for being paid. Options a is an hourly wage if 21$. Option b is a commission rate of 8% on weekly sales. How much does she need to sell this week to earn the same amount with two options?
ANSWER!!! now please
Answer:
C) 85.0º
Step-by-step explanation:
a+2a+a+10=180
3a+10=180
3a=180-10
3a=170
a=42.5
a+10=52.5
2a=85
Answer:
B
Step-by-step explanation:
6= 2(y+2) i need help on this
At Kenner Country Club, 45% of the members swim. If 3 people are selected at random, what is the probability that all three will say they swim at the club?
Step-by-step explanation:
so, we pick the first one. the probability this person swims is 0.45.
if yes, then we pick the second one. this one has also a probability of swimming of 0.45.
combined with the probability of the first one being a swimmer this is now 0.45×0.45.
the same with the third pick.
and we have the probability that all 3 swim of
0.45×0.45×0.45 = 0.45³ = 0.091125
that is rounded about 0.09 or 9%.
A wedding ring costs £13000. Work out the price after a 11% price increase
Answer:
Step-by-step explanation:
Increased price = 11% of £ 13000
= 0.11 * 13000
= 1430
Price after increase = 13000 + 1430 = £ 14,430
What is 10/10 as a whole number
✫ Hello there! ✫
10/10 as a whole number is 1.
If a fraction's numerator is the same as its denominator, then the fraction equals 1.
Hope it helps!
~Just a joyous gal
#CarryOnLearning
Answered by
[tex]-SilentNature-[/tex]
The [tex]\frac{10}{10}[/tex] as the whole number is 1.
Given that,
The fraction is [tex]\frac{10}{10}[/tex]We need to write in a whole number.Based on the above information, the calculation is as follows:
[tex]= \frac{10}{10}[/tex]
= 1
Learn more:brainly.com/question/17429689
