Answer:
h α t
h = kt
k = h/t
350 = k5
350/5 = k
k = 70
Step-by-step explanation:
Given that :
Ballon height varies directly as the Ascent time in minutes
Height of hot air Ballon rises 350 feets in 5 seconds
Expressing as a direct variation :
Let height of Ballon = h
Time it takes to rise = t
h α t
h = kt
k = h/t
350 = k5
350/5 = k
k = 70
Find an ordered pair (x, y) that is a solution to the equation. -x+4y= 5
Work out the area of the trapezium ABDE.
9 cm
6 cm
Answer:DE = 4
AB = 30
Step-by-step explanation:
Answer:
30cm²
Step-by-step explanation:
AE/BD = CE/CD
9/6 = CE/8
CE = 9/6 x 8
CE = 12cm
DE = CE - CD
DE = 12 - 8 = 4 cm
½(6 + 9)4 = 30cm²
help with this question!
Answer:
y=4x
Step-by-step explanation:
a proportional relationship has to cross through the origin and all of the other answers have y intercepts and if it has a y intercept then it will not pass through the origin.
Find the slope of the line that passes through:
(2, 4) and (6, 12)
Answer:
Step-by-step explanation:
2
Answer:
4
Step-by-step explanation:
Slope is rise over run, but you can also find the slope between two points with this formula:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
12-4=8
----------
6-2=4
8/2=4
CD is a median of triangle ABC and M is the
centroid. If CM = x +5 and CD = 5x + 1,
what is the value of x ?
Answer: a) [tex]\dfrac{13}{7}[/tex]
Step-by-step explanation:
Median: Line segment from one vertex of a triangle to the midpoint of the opposite side. i.e. it bisects the opposite side.
Centriod: Point of intersection of a triangle of its medians
.Also, it is [tex]\dfrac23[/tex] of the distance from vertex to the midpoint of opposite side.
Given: CD is a median in triangle ABC and M is centriod.
[tex]\Rightarrow CM=\dfrac23 CD[/tex]
Since CM = x +5 and CD = 5x + 1
[tex]\Rightarrow\ x+5=\dfrac{2}{3}(5x+1)\\\\\Rightarrow\ 3(x+5)=2(5x+1)\\\\\Rightarrow\ 3x+15=10x+2\\\\\Rightarrow\ 10x-3x=15-2\\\\\Rightarrow\ 7x=13\\\\\Rightarrow\ x=\dfrac{13}{7}[/tex]
Correct option is a)
Imagine that you are given the graph of a brand new parent function, y = P(x), that you have never seen before. You are then asked to graph y = P(x) + 3. Explain how you would go about graphing this new function.
Answer:
You would move each point on y=P(x) up by three. Or add 3 to each y coordinate
Step-by-step explanation:
This is because we're not manipulating the value of x before it gets multiplied by P.
For example:
If x is set to equal 5 and P equal to 2, then the parent function would have a coordinate of (5,10) since 2(5)=10 but the new function would have a coordinate of (5,13) since 2(5)+3= 13 due to order of operations (2×5 =10, then we add 3).
Answer:
Step-by-step explanation:
Step 1:
Plot y=P(x) from x=-a to x=a with x=0 as the middle point of the distance between a and -a.
Step 2:
Add the value of +3 to each point of y=P(x), ie, y=P(x)+3 meaning that the graph y=P(x) will be pulled up three units on the y axis.
helpppppppppppppppppppppppppppp
Answer: i know p4 but what does the first q say?
Step-by-step explanation:
Answer:
2nd one
Step-by-step explanation:
-98 = 7t
What does t equal
Answer:
t = -14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
-98 = 7t
Step 2: Solve for t
Divide 7 on both sides: -14 = tRewrite: t = -14Step 3: Check
Plug in t into the original equation to verify it's a solution.
Substitute in t: -98 = 7(-14)Multiply: -98 = -98Here we see that -98 is equal to -98.
∴ t = -14 is the solution to the equation.
t = -14
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Left to Right
Equality Properties
Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality
Step-by-step explanation:
Step 1: Define
-98 = 7t
Step 2: Solve for t
Divide 7 on both sides: -14 = t
Rewrite: t = -14
Step 3: Check
Plug in t into the original equation to verify it's a solution.
Substitute in t: -98 = 7(-14)
Multiply: -98 = -98
Here we see that -98 is equal to -98.
∴ t = -14 is the solution to the equation.
Can somebody help me?
Answer:
Step-by-step explanation:
if 8% is 80 then 10% is 100 and 10 multiplied by 100 iss 100. so 1,000 readers. i might be wrong tho
If a woman get 7000 dollars for every 3 hour how much will she make for 81 hours
Answer:
567000 dollars
Step-by-step explanation:
Straightforward if 7000 for 3 hours then 3*27=81 and 7000*81=567000
When plotting points on the coordinate plane below, which point would lie on the y-axis??
Answer:
the second number
Step-by-step explanation:
EX: ( -3, 2 ) the 2 would lie on the y axis because its the second number the x axis always comes 1st and the y axis 2nd
what is the slope of (-6, 10) and (0, -5)
Answer:
[tex]\frac{-15}{6}[/tex]
Step-by-step explanation:
[tex]\frac{-5-10}{0-(-6)}[/tex]
[tex]\frac{-15}{6}[/tex]
The scale of a map is 2 cm:15 kom. Find the actual distance for each map distance.
1. 6cm 2.5 cm 3. 13.2 cm
Answer: 6 cm is 45 km
5 cm is 7.5 km
Step-by-step explanation:
46 + (-2k) a. for k =3 b.for k = 23 k = -2
9514 1404 393
Answer:
a. 40
b. 0
c. 50
Step-by-step explanation:
a) 46 + (-2k) for k = 3 is ...
46 + (-2(3)) = 46 -6 = 40
__
b) 46 + (-2k) for k = 23 is ...
46 + (-2(23)) = 46 -46 = 0
__
c) 46 + (-2k) for k = -2 is ...
46 + (-2(-2)) = 46 +4 = 50
PLEASE HELP ME PRONTO!!!!!! Kanisha cut purple paper strips for her scrapbook. She cut a 7 and 1/2
-inch strip from a 14-inch strip. What is the length in inches of the strip that remains?
Write an equation in point-slope form of the line having the given slope that contains the given point. then graph the line
(dont think u can graph so its okay)
Answer:
The line of the equation in the point-slope form of the line passing through the point (4, -2) and having slope 2 will be:
[tex]y+2=4(x-4)[/tex]
Please check the attached graph.
Step-by-step explanation:
Given
The slope m = -2The point (4, -2)Point slope form:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointIn our case:
m = 4
The point (x₁, y₁) = (4, -2)
substituting the values m = 4 and the point (x₁, y₁) = (4, -2) in the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - (-2) = 4(x-4)[/tex]
[tex]y+2=4(x-4)[/tex]
Thus, the line of the equation in the point-slope form of the line passing through the point (4, -2) and having slope 2 will be:
[tex]y+2=4(x-4)[/tex]
Please check the attached graph.
hru im in an amazing mood help meeeeeeeeeeeee plzzzzzzzzzzzz
Answer:
I think its A
Step-by-step explanation:
Round 72.5 to the nearest hundredth
Answer:
73
Step-by-step explanation:
Howie bought 4 binder for $2.14 each, a pack of pencils for $1.25, and a new coat for $19.95. How much money did Howie spend altogether? A. $23.34 B. $27.34 C. $28.66 D.$29.76
Answer:
A. $23.34
Step-by-step explanation:
The computation of the amount of money spend altogether is given below:
= Purchase price of 4 binder + pack of pencils + new coat
= $2.14 + $1.25 + $19.94
= $23.34
We simply added the above three cost so that the total money incurred would be come
Hence, the correct option is A
use rounding to estimate 10 4/5 + 8 9/10
a. 20
b.19
c.18
d.19 1/2
The WNBA champions have a twelve-player roster that includes two superstars. If a group of five starting players for this team must include the two superstars, how many different groups of five starting players are there?
Answer:
120 groups
Step-by-step explanation:
Total number of players = 12
Number of superstars = 2
To select a group of 5 players that MUST include the two superstars can be done in how many different ways?
Since the two superstars must always be in the 5 player team
Number of players left to choose = 5 - 2 = 3
Number of players from which selection is to be made = 12 - 2 = 10
Hence, the number of ways of choosing 3 players from 10 ; 10C3
Recall ;
nCr = n! / (n-r)!r!
10C3 = 10! ÷ (10-3)!3!
10C3 = 10! ÷ 7!3!
10C3 = (10*9*8) / (3*2*1)
10C3 = 720 / 6
10C3 = 120 groups
PLEASE HELP ME OUT !!
create a table for y=-3x + 1
What is the measure of x and y?
Answer:
x=80 and y=30
Step-by-step explanation:
HOPE THAT HELPS!!!!!!!
Mya’s roof was leaking, so she needed money fast. She borrowed $12,000 from the bank for repairs. It is a 5-year loan, and she is being charged simple annual interest at a rate of 7.5%. How much interest can Mya expect to pay over the life of this loan?
Answer:
Step-by-step explanation:
Find the slope of the line through
the points (-2, 1) and (0,4).
Asap taking a test!!!
Answer:
m= 3/2
Step-by-step explanation:
Sara has 24 muffins, which he needs to box up
into dozens. How many boxes does she need?
Answer:
2 boxes
Step-by-step explanation:
1 dozen = 12
24 divided by 12 = 2!
Answer:
S/he needs 2 boxs
Step-by-step explanation:
24/12=2
What is the equation?
3.7 = 5x + 12.2
Answer:
x= -1.7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = -1.7.
Step-by-step explanation:
3.7 = 5x + 12.2
Subtract 3.7 from both sides:
0 = 5x + 12.2 - 3.7
0 = 5x + 8.5
Subtract 5x from both sides:
-5x = 8.5
x = 8.5 / -5
x = -1.7.
what is the remainder when (5x4 + 3x3 - 2x2 + 7x + 4) ÷ (x + 2)?
A. 38
B. 2
C. -2
D. 24
Answer:
A
Step-by-step explanation:
Please answer this last question
Answer:
the answer would be 1/18
plz helpppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
d.....hope this will help u:))