Given:
Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4).
To find:
The y-coordinate of the midpoint of line segment YZ.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
The endpoints of the line segment YZ are Y(-3,-6) and Z(7,4). So, the midpoint of YZ is:
[tex]Midpoint=\left(\dfrac{-3+7}{2},\dfrac{-6+4}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{4}{2},\dfrac{-2}{2}\right)[/tex]
[tex]Midpoint=\left(2,-1\right)[/tex]
Therefore, the y-coordinate of the midpoint of line segment YZ is -1.
1. Tra is going to order a pizza from a local pizza parlor. She will choose 1 crust, 1 sauce, 1 topping and 1
cheese for her pizza. She can choose from 4 types of crust, 4 types of sauce, 12 different toppings and 6
different cheeses to make her pizza. If Ira wants either tomato sauce or garlic sauce on her pizza, how many
different pizza's can Ira make?
Answer:
ira can make 4 pizzas
Step-by-step explanation:
8) a) How much money will there be in an account at the end of 6 year if $2000 is deposited at compounded quarterly? Write the formula and show all work.
Answer:
$2539.47
10.18722679 (make sure you round this)
Step-by-step explanation:
a.)
Equation for compound interest:
[tex]AV=P(1+\frac{i}{n})^{n*t}\\2000(1+\frac{.04}{4})^{4*6}\\2000(1.01)^{24}\\2539.469297\\[/tex]
which rounds to
2539.47
b.)
using the same equation we can write
[tex]3000=2000(1+\frac{.04}{4})^{4t}\\1.5=1.01^{4t}\\log_{1.01}1.5=4t\\log_{1.01}1.5=\frac{log(1.5)}{log(1.01)}=40.7489\\40.7489=4t\\10.18722679=t[/tex]
not sure how to round this, so I'll leave that part up to you
find a rational number between 8 and 9
For each of the following, find the percent change in the volume of a cube. The length of the side of the cube was first increased by 50% and then decreased by 20%.
Answer:
im about to get visous on gta so its 70%
Step-by-step explanation:
Help me find the numbers for the function table
Answer:
0,4,7
Step-by-step explanation:
you take the input number like 8 subtract it by 4 to get the output
Answer:
'x-4' are 4-4; 8-4; 11-4
Outputs are 0, 4, 7
Step-by-step explanation:
'x - 4' for:
4 = 4-4 = 0
8 = 8-4 = 4
11 = 11-4 = 7
∴ Outputs are 0, 4, 7
please help i will give brainliest
Answer:
Part 1: 2.4 + x
Part 2: 4(2.4 + x) = 14.8
Step-by-step explanation:
2.4 + x is the total distance covered every day.
We know that after 4 days, Bijan has run 14.8 miles, so in total he has run 4(2.4 + x) miles, which is equal to 14.8.
Extra: Here's how to work out x!
4(2.4 + x) = 14.8
9.6 + 4x = 14.8
4x = 5.2
x = 1.3
Hope that helps!
Is 2.164213562 Rational or Irrational
which value is not equivalent to the other's
Answer:
The one that is not equivalent to the others is:
2 + 2 + 2 + 2 + 2
Step-by-step explanation:
this is because all of the other ones are equal to 32. This one equals to 10.
What was the estimated population population of Rhode Island in 1760?
Answer:
D. 45,000
Hope this helps :)
Determine the niinimum and maximum value of the following trigonometric
function.
f(x) = 5 cos 3x – 3
9514 1404 393
Answer:
maximum: +2
minimum: -8
Step-by-step explanation:
The cosine has a minimum of -1 and a maximum of +1. Then the extremes of f(x) are ...
5(±1) -3 = -3±5 = +2, -8
The maximum of f(x) is +2; the minimum is -8.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.
Question 1
Answer: C) First and last term
----------------
Explanation:
Recall that (a+b)^2 = a^2+2ab+b^2 when using the FOIL rule. To go in reverse, to factor, we would apply the square root to the a^2 to get 'a', and also apply the square root to b^2 to get b. This then helps form the a+b shown on the left side.
The next question will go over a specific example of what is going on. Note that in question 2, the use of the phrasing "root of the first term" and "root of the last term" which helps reinforce we have the correct answer for problem 1.
=========================================================
Question 2
Answers:
Root of the first term = 9vRoot of the last term = 10----------------
Explanation:
Apply the square root to the first term to get
sqrt(81v^2) = sqrt( (9v)^2 ) = 9v
Or you could note that (9v)^2 = (9v)*(9v) = 81v^2, from which we work in reverse when applying the square root.
Similarly, the square root of the last term is
sqrt(100) = sqrt(10^2) = 10
So that's why the answers are 9v and 10 for the blanks.
We can say:
(a+b)^2 = a^2 + 2ab + b^2
(9v+10)^2 = (9v)^2 + 2(9v)(10) + (10)^2
(9v+10)^2 = 81v^2 + 180v + 100
Which linear equation is written in slope-intercept form?
Question 12 options:
6y = –2x + 12
–2x = y + 5
3x – 4y = 9
y = –3x +1
Answer:
It’s the 3rd one
Step-by-step explanation: it’s the 3rd one
Help I don’t know what to do
Answer:
20 mm (C)
Step-by-step explanation:
Gail works for a vending company. she gets paid $64 per week plus 20% of her total sales. how much will her total sales for the week have to be in order for girl to make at least $200
Answer:
680 sales
Step-by-step explanation:
20% of 680 is 136.
So her 64 for a week plus the 136 from sales is 200.
Hope this helps
Brainliest would be appreciated
Find the surface area of the composite figure.
SA = [ ? ] cm^2
Amy walks to school everyday. It is 800 meters from her house to the front door. It takes her 240 seconds to walk to school. What is her average speed?
I WILL MARK YOU AS BRAINLIEST IF YOU CAN ANSWER :)
Answer:
6 inches fell an hour
6x30 =180 so One hundred eighty inches in 30 mins
Step-by-step explanation:
Answer:
0.5 in per hour
16.2 in 30 hours
Step-by-step explanation:
If you want to find the amount of rain that falls in one hour, divide 13 by 24
13/24= 0.541 inches per hour
Then multiply this by 30
0.541 x 30 = 16.23
Since they want you to round to the nearest tenth, your answers would be:
0.5 in per hour
16.2 in 30 hours
What two consecutive numbers make 81
Answer:
40 and 41.
Step-by-step explanation:
81/2 = 40.5, thus 40 and 41
Which equations represent exponential growth?
Which equations represent exponential decay?
Drag the choices into the boxes to complete the table.
Exponential Growth Exponential Decay
Answer:
Growth;
A = 20,000(1.08)^t
A = 40(3)^t
P = 1700(1.07)^t
Decay;
A = 80(1/2)^t
A = 1600(0.8)^t
P = 1700(0.93)^t
Step-by-step explanation:
The key to differentiate between decay and growth is the term inside the bracket
For growth, the term inside the bracket is greater than 1, while for decay, the term inside the bracket is less than 1
Looking at the given equations, we have;
Growth;
A = 20,000(1.08)^t
A = 40(3)^t
P = 1700(1.07)^t
Decay;
A = 80(1/2)^t
A = 1600(0.8)^t
P = 1700(0.93)^t
Answer:
* For future readers *
I just took the test :)
Bab in need of help ☹️
Answer:
100 π
Explanation:
Since the equation for the area of a circle is π r^2, and the diameter is 20m. There is enough info to proceed.
First, half the 20m to 10m since the radius is 1/2 of the diameter.
Next, plug this into the formula to get the answer:
π 10^2
π 100
100 π is the answer, since it is looking for it in terms of π.
Answer:
A≈314.16m²
Step-by-step explanation:
I cant write it down lol, I promise its right! :)
Solve the linear inequality below.
9x – 8 > 4x + 7
Answer:
Step-by-step explanation:
9x-4>4x+7
-4x
5x-4>7
+4
5x>11/5
x>2.2
Answer:
9x-4x>7+8
5x > 15
X >3
So the answer is x >3
1.99 divided by 3 to the nearest cent.
Answer:
nearest tenth?
Step-by-step explanation:
your answer would be .663
Simplify to the tenth would be make it .7
Evaluate the expression 4^x/2^x for x=3
Answer:
[tex]\frac{64}{2^3}[/tex]
Step-by-step explanation:
[tex]\frac{4^x}{2^x} = \frac{4^3}{2^3} = \frac{64}{2^{3}}[/tex]
CAN SOMEBODY PLEASE HELP ME WITH THIS?
Why is the length of the base of the rectangle the same as the circumference of the circles in the net of a cylinder?
Answer:
The width of the rectangle is the same as the length of the cylinder (h). The area of each of the two circles is \\ (\\pi r^2\\) and the area of the rectangle is \\ (2 \\pi r times h\\).
Step-by-step explanation:
I need help please :)
Answer:
4th option
10x + 32 / x(x+8)
Step-by-step explanation:
Find the value of x. (I'll mark brainlest!!!)
Answer:
The answer is B
Step-by-step explanation:
Answer:
you can use law of sines
Plug in the values (lol sorry i dont have time)
x / sin(angle) = y / sin(angle)
Where x and y are separate sides.
Hope this Helps! :3
Review the graph function. Which statement describes whether the extreme value theorem applies?
Answer:
D :)
Step-by-step explanation:
The extreme values theorem does not apply, and f(x) has a maximum but not a minimum. Option D is correct.
A graph has shown in the image, It is to determine whether the extreme value theorem applies.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
The extreme value theorem comprises that if a function is continuous on a defined interval [a,b], then the function must have a maximum and a minimum in the interval. Since in the graph the function does not have the minimum and is not defined for the closed interval. The function has a maximum on the left side of the graph but starts with the discontinuity on the left side so the Extreme value theorem does not hold.
Thus, The extreme values theorem does not apply, and f(x) has a maximum but not a minimum.
Learn more about graphs here:
brainly.com/question/16608196
#SPJ2
1.4 litres of a liquid has a mass of 1,526 g.
Find the density of the liquid in kg/m3
Answer:
Step-by-step explanation:
Given data:
Mass of the liquid ( m ) = 550 kg
Volume of the liquid ( v ) = 680 litre
= 680*10-3 m3
= 0.68 m3
Now, Density of the liquid = (m/v)
= (550 kg )/(0.68 m3)
= 809 kg/m3
The density of the liquid is 1,090 kilograms per cubic meter.
What is density?The density is the ratio of mass to volume of any substance. Let m be the mass of the object and v be the volume of the object. Then the density D will be given as,
D = m / v
First, convert the volume into cubic meters. Then we have
⇒ 1.4 x 0.001
⇒ 0.0014 m³
The density of the liquid is calculated as,
Density = (mass ÷ volume)
Density = (1,526 g ÷ 0.0014 m³) ÷ 1,000
Density = 1,090 kg/m³
Therefore, the density of the liquid is 1,090 kg/m³.
More about the density link is given below.
https://brainly.com/question/15164682
#SPJ2
Explain pleaseeeeeeeeeeeee
Answer:
81°
Step-by-step explanation:
all triangles = 180°