Answer:
[tex]Z=(-2.5,5)[/tex]
Step-by-step explanation:
From the question we are told that
Point [tex]a=(-4,10)[/tex]
Point [tex]b= (2,-10)[/tex]
Ratio [tex]r=1:3[/tex]
Generally the section formula is mathematically given as
[tex]x=\frac{m_1x_2+m_2x_1}{m_1+m_2}[/tex]
[tex]y=\frac{m_1y_2+m_2y_1}{m_1+m_2}[/tex]
Generally the point P(x,y) is mathematically given as
[tex]x=\frac{1(2)+3(-4)}{1+3}[/tex]
[tex]x=-2.5[/tex]
[tex]y=\frac{(1)(-10)+(3)(10)}{1+3}[/tex]
[tex]y=5[/tex]
Required Co-ordinates Z is
[tex]Z=(-2.5,5)[/tex]
16. Physical Science A ball is dropped from a
height of 500 meters. The table shows the height
of each bounce, and the heights form a geometric
sequence. How high does the ball bounce on the
8th bounce? Round your answer to the nearest
tenth of a meter.
Ball will bounce 83.9 meters high on the 8th bounce.
Geometric sequence:
nth term of a geometric sequence is given by the expression,[tex]T_n=ar^{n-1}[/tex]
Here, [tex]a=[/tex] First term
[tex]r=[/tex] Common ratio in each term
[tex]n=[/tex] Number of term
From the table attached,
First term [tex]a=400[/tex] meters Common ratio [tex]r=\frac{\text{Second term}}{\text{First term}}[/tex][tex]=\frac{320}{400}[/tex]
[tex]=0.8[/tex]
8th term of the sequence will be,
[tex]T_8=400(0.8)^{8-1}[/tex]
[tex]T_8=83.886[/tex]
[tex]\approx 83.9[/tex] meters
Find out more information about geometric sequence here;
https://brainly.com/question/11266123?referrer=searchResults
rewrite in a simpler equivalent form and solve
What is the product of (–8.2)(1.9)?
–15.58
–6.3
6.3
15.58
Answer:
-15.58
Step-by-step explanation:
Answer:
-15.58
Step-by-step explanation:
Multiply the traditional way
-8.2
x1.9
-------
738
820
----------
15.58
But because you're multiplying a positive and a negative, the answer will be negative leaving you with (-15.58)
Can y’all help with this question plz
Find the circumference of the circle shown: 10 ft
Answer:
31.42
Step-by-step explanation:
equation for solving is C= π d
circumference is π x diameter
so therefore the new equation is π x 10
3.14 (π) x 10 (d) = 31.42
Cathy is playing a game with a set of 24 cards equally divided into 4 colors (red, green, blue, and yellow).
Find the probability of her randomly selecting a red card, not replacing it, and then selecting another red card.
A.
image
B.
image
C.
image
D.
image
Answer:
1/20
Step-by-step explanation:
P(red,red) = 4/16 x 3/15 = 1/4 x 1/5
Answer:
6/24
5/24
Step-by-step explanation:
count how many cards there are(24) then Find out how many red cards there are(4/24=6
Charlie runs laps around a track. The table shows how long it takes him to run different numbers of laps. How long would it take Charlie to run 7 laps? Numbers 2 4 6 8 10. Time 18 36 54 72 90
Answer:
42
Step-by-step explanation:
Answer:
63
Step-by-step explanation:
find one lap
2/2=1
18/2=9
1 lap = 9
1·7=7
9·7=63
I need help!! i don't understand this
Answer:
33
Step-by-step explanation:
A toll road company has two plans for customers. One plan charges $10 per month for rental of a transponder (a box that identifies your car on the toll roads) plus $0.60 per mile driven. The second plan does not require that you rent a transponder. Instead, it charges customers $0.75 per mile driven on the toll road. Find the minimum number of miles you would need to drive in a month to make the first deal a better deal.
Answer:
The minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.
Step-by-step explanation:
For the first deal to be a better deal it has to cost less than the second plan and you can write an equation in which the first plan has a lower cost than the second one:
10+0.60m<0.75m, where:
m is the number of miles driven
Now, you can solve for m:
10<0.75m-0.60m
10<0.15m
10/0.15<m
m>66.6
According to this, the answer is that the minimum number of miles you would need to drive in a month to make the first deal a better deal is 66.6 miles.
Choose the triangle in which angle 2 is not an exterior angle.
help me...new freinds?
Answer:
The third triangle
Step-by-step explanation:
The Exterior Angle is the angle a side of a shape and a line extended from the side next to it.
So for example, the first picture shows an exterior angle because a line was extended and it forms an angle with the triangle's side.
The second picture is still an exterior angle because the angle is formed with an extended line and the triangle's side.
The third photo shows an angle formed between a random line and the triangle's side. This is not an exterior angle because the angle is not formed with any side's extension.
The fourth photo is an exterior angle because it shows the angle being formed with an extension of a line from the triangle and a side of the triangle.
Hope this helps! Feel free to ask any questions! :)
Answer:
C the third triangle. Hope this helps
Step-by-step explanation:
Tyler bought two pieces of pizza and three diet Pepsi for $7.25 Scotty but for pizzas a pizza and diet Pepsi for $8.25 set up a system of equations to determine how much a slice of pizza cost and how much a diet Pepsi cost
Answer:
The cost of
1 slice of pizza = x = $1.75
1 diet pepsi = y = $1.25
Step-by-step explanation:
Let us represent:
The cost of
1 slice of pizza = x
1 diet pepsi = y
Tyler bought two pieces of pizza and three diet Pepsi for $7.25
2x + 3y = 7.25.......Equation 1
Scotty but four pizzas and a diet Pepsi for $8.25
4x + y = 8.25......Equation 2
Combining the Equations
2x + 3y = 7.25.......Equation 1
4x + y = 8.25......Equation 2
y = 8.25 - 4x
We substitute 8.25 - 4x for y in Equation 1
2x + 3(8.25 - 4x) = 7.25
2x + 24.75 - 12x = 7.25
Collect like terms
24.75 - 7.25 = 12x - 2x
17.5 = 10x
x = 17.5/10
x = $1.75
Solving for y
y = 8.25 - 4x
y = 8.25 - 4(1.75)
y = 8.25 - 7
y = $1.25
Therefore,
The cost of
1 slice of pizza = x = $1.75
1 diet pepsi = y = $1.25
Help I'm justing learning about this and I don't know what to start or do
A smartphone costs $250. Sales tax is 5%. What is the total cost, including tax?
Answer:
ima guess $262.50
Step-by-step explanation:
a certain bacteria populations doubles in size everyday. Suppose a sample starts with 500 bacteria. write an expression that models the number of bacteria in the same sample after x days. Evaluate the expression for x=0,2,and 5
Answer:
16,000
Step-by-step explanation:
16,000 - answer
You are given $400 as a graduation gift. You decide to place the money in a savings account with an annual interest rate of 7.5% for 9 months. Find the amount of interest you will earn
Answer: $22.50
Step-by-step explanation:
The interest will be gotten by using the formula:
= PRT
= Principal × Rate × Time
= 400 × 7.5% × 9/12
= 400 × 0.075 × 0.75
= $22.50
The interest is $22.50
Helen goes into a shop.
She wants to buy 2 shirts and a pair of shorts,
Each shirt costs £24.50
The pair of shorts costs £18.90
Helen only has £70 to spend,
Does Helen have enough money to buy the 2 shirts and the pair of shorts?
Answer:
yes
Step-by-step explanation:
2*24.50=49 (two shirts)
18.90 (pair of shorts)
49+18.90=67.90
she can spend 70, means she can buy all of those and she still has 2.10
Solve for xxx. Your answer must be simplified. -4+x≤9
Answer:
x≤13
Step-by-step explanation:
-4+x≤9
Add 4 to each side
-4+4+x≤9+4
x≤13
Answer:
x≤13
Step-by-step explanation:
khan
2[(483 2 - 151] help
Answer:
1630
Step-by-step explanation:
Hope this helps
Read the following bar graph and answer the following related questions :
a) Who got the maximum marks?
b) Who got the minimum marks?
c) The ratio between the marks obtained by Saroj and Vimla is _______.
d) How many girls have got marks of more than 100?
Answer:
who got the maximum marks? it would have been apala she got the high mark
help please. 10 points to who help me
9514 1404 393
Answer:
64/109 ≈ 0.5872
Step-by-step explanation:
41 + 23 = 64 of the events have outcome E.
An additional 35 + 10 = 45 do not.
The probability of an outcome of E is 64 out of a total of 64+45 = 109 events.
P(E) = 64/109 ≈ 0.5872
help please. I dont know how to solve
Task 4:
A carnival attraction tests your strength by how far in the air
you can drive a weight with a hammer. If the weight
reaches 15 feet you win a prize! The equation
h = -1612 + 317 + 2 gives the height h of the weight t seconds
after you hit it.
A: How long is the weight moving?
B: What was the weight's maximum height?
C: Did you win a prize? How do you know?
B i think i am sorry if it is not right but i am pretty sure i am right tho
Which are linear pairs? AngleBAC and AngleCAE AngleCAE and AngleBAF AngleCAE and AngleFAE AngleCAF and AngleBAE AngleFAD and AngleEAD
A and C
A- AngleBAC and AngleCAE
C-AngleCAE and AngleFAE
Step-by-step explanation:
Edg2021
Answer:
The answer is A. AngleBAC and AngleCAE and C. AngleCAE and AngleFAE
Step-by-step explanation:
Got it right on the assignment.
Answer to get marked brainiest!
Answer:
D
Step-by-step explanation:
Ryan bought a brand new car for $18,000. Its value depreciated at a rate of 1.2%.
Write a function to represent the value of the car as a function of time.
A. v(t)=18000(0.012)^t
B.V(t)=18000(1.2)^t
C.v(t)=18000(98.8)^t
D(t)=18000(0.988)^t
Answer:
A(t)= 18000(0.988)^t
Step-by-step explanation:
Given data
Ryan bought a brand new car for $18,000
Its value depreciated at a rate of 1.2%
Let us use the compound expression
A= P(1-r)^t
substitute
A= 18000(1-0.012)^t
A(t)= 18000(0.988)^t
Hence the expression is A(t)= 18000(0.988)^t
A function to represent the value of the car as a function of time is v(t) = 18000(0.988)^t
Exponential functionThe standard exponential equation is in the form y = ab^x
b is the rate which can be growth or decline
If the value of b < 1, it is a depreciationIf the value of b > 1, it is an appreciationIf Ryan bought a brand new car for $18,000 and its value depreciated at a rate of 1.2%, the exponential equation represented by this statement is;t
v(t) = 18000(1-0.0012)^t
v(t) = 18000(0.988)^t
Hence a function to represent the value of the car as a function of time is v(t) = 18000(0.988)^t
Learn more on exponential function here: https://brainly.com/question/12940982
Gavyn drives at a speed of 50 miles per hour how long will it take to drive 225 miles
Answer:
:4.5 hoursStep-by-step explanation:225 divided by 50 = 4.5
Answer:
its 4 hours and 30 minutes
Step-by-step explanation:
if 50 is equvalemt to 1 hour then 225 divide by 50 then the answer was 4.5 and the 4.5 is equal to 4 hours and 30 minutes
mark me
The measure of angle ABD is 105º. The measure of angle ABC is 75º. What is the measure of angle CBD? A 75° B >C ? D 1>) 170° 1) 30° 1) 25° 1) 180°
Simplify the expression.
11.3 +9 - 7 = 1
Basic
Comm:
MATH math help thanks (pls provide workings)
Answer:
At the point where x = 2.
Step-by-step explanation:
First find the derivative which gives us the gradient of the tangent at any point on the curve:
y = 5x^2 - 16x
y' = 5*2 x^(2-1) - 16 x(1-1)
y' = 10x - 16.
y' is the gradient at point of coordinate x.
So when the gradient = 4:
4 = 10x - 16
10x = 20
x = 2.
Answer:
x=2
Step-by-step explanation:
The total cost y varies directly with the number items x sold. Write a direct variation equation if
the item cost $2.35.
Answer:
xy = 2.35
Step-by-step explanation: