Answer:
X=1
Step-by-step explanation:
When Charlotte left her house this morning, her cell phone was 30% charged and it
then started to lose 2.5% charge for each hour thereafter. Write an equation for B, in
terms of t, representing the charge remaining in Charlotte's battery, as a percentage,
t hours after Charlotte left her house.
Answer:
B = 32.5 - 2.5tStep-by-step explanation:
Let the initial percentage to be 30%
If it started to loose 2.5% every hour where;
t represents the time after Charlotte left her house
The amount of percent remaining every hour will form an arithmetic sequence as shown;
30, (30-2.5), (30-5.0),...
30, 27.5, 25.0...
Using the nth term for calculating an arithmetic sequence
B = a + (t-1)d
a is the first term = 30
d is the common difference = 27.5-30 = 25-27.5 = -2.5
t is the time
Substitute the given values into the formula;
B = 30 + (t-1)(-2.5)
B = 30+(-2.5t+2.5)
B = 30-2.5t+2.5
B = 32.5 - 2.5t
Hence equation for B, in terms of t, representing the charge remaining in Charlotte's battery, as a percentage, t hours after Charlotte left her house is B = 32.5 - 2.5t
Solve the problem involving consecutive integers.
If three times the smaller of two consecutive integers is added to four times the larger, the result is 109. Find the smaller integer.
A. 14 B. 45 C. 15 D. 16
Answer:
c.15
Step-by-step explanation:
smaller integer=x
larger integer=x+1
3x+4(x+1)=109
3x+4x+4=109
7x+4=109
7x=105
x=105/7
x=15
check:
3(15)+4(15+1)=109
45+64=109
y=4x+25 find the domain of the function and if it discrete
Answer:
f(x)=xf(x)=x , g(x)=2xg(x)=2x
f(x)=5f(x)=5 , g(x)=xg(x)=x
Step-by-step explanation:
not sure but still,
Determine the point of intersection of right bisectors in a triangle ∆ABC with vertices A (-3, 5), B (1, 1) and C (−7, −3). Find the distance from the point of intersection to each vertex of the triangle.
9514 1404 393
Answer:
intersection: (-3 2/3, 1/3)distances to vertices: (10/3)√2Step-by-step explanation:
A) In order to write the equations of the perpendicular bisectors of the segments, we need to know the midpoint and the slope.
The midpoint is the average of the coordinates:
midpoint(A, B) = ((-3, 5) +(1, 1))/2 = (-3+1, 5+1)/2 = (-1, 3)
midpoint(A, C) = ((-3, 5) +(-7, -3))/2 = (-3-7, 5-3)/2 = (-5, 1)
The differences between the coordinates of the points can be helpful:
B-A = (1, 1) -(-3, 5) = (1+3, 1-5) = (4, -4) . . . . . reduces to (∆x, ∆y) = (1, -1)
C-A = (-7, -3) -(-3, 5) = (-7+3, -3-5) = (-4, -8) . . . . . reduces to (∆x, ∆y) = (1, 2)
_____
A line through point (h, k) perpendicular to one with (∆x, ∆y) can be written:
(∆x)(x -h) +(∆y)(y -k) = 0
Then the bisectors of AB and AC will be ...
(x +1) -(y -3) = 0
(x +5) +2(y -1) = 0
Their intersection point can be found by solving this system.
(x +2y +3) -(x - y + 4) = (0) -(0) . . . . . subtract the 1st equation from the 2nd
3y -1 = 0
y = 1/3
x = y -4 = -3 2/3
The point of intersection of the right bisectors is (x, y) = (-3 2/3, 1/3).
__
B) The intersection point is the circumcenter. It will be the same distance from any of the vertices.
That distance can be found using any of the vertices. Using point B, we find the distance to be ...
d = √((-3 2/3 -1)^2 +(1/3 -1)^2) = √((14/3)^2 +(2/3)^2) = √(200/9)
d = (10/3)√2
The distance to each vertex is (10/3)√2 ≈ 4.71.
Please help me before I fail... I really need some help <3 please ;-;
Answer:
the answer is 1.0 if u use sin to solve it, thus, u would get 0.9 of which if u round it u will get the answer above
Answer: and Step-by-step explanation:
sin(61) = x/55
55(sin(61)) = x
48.1 = x
Hope this helps!
Factor the Expression. 121x + 44 *
11(10x + 4)
21x + 4
11(11x + 44)
11(11x + 4)
i like chicken nuggets
Answer:
what the heck is this
Step-by-step explanation:
-11/2 divided by 12/5.
Answer:
Exact Form:
−55/24
Decimal Form:
−2.2916...
Mixed Number Form:
−2 7/24
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Where can i buy ps5
Answer: You can go online and type ps5 and it will get shipped to you. Or you can check Target, Bestbuy, Gamestop and etc.
Step-by-step explanation:
Answer:
gamestop or online!!
Step-by-step explanation:
hope this helps!!
jose flies a kite 17 1/2 ft above the ground. he increases its elevation by 4 3/4 ft by letting out some string. then he reels in the string and changes its elevation by -15.8 ft. after jose reels in the string, what is the kite's elevation relative to the ground? show your work
Answer:
6.45 feet
Step-by-step explanation:
He starts 17 and 1/2 feet off the ground
Elevation relative to ground: 17 1/2
Then he increases the height by 4 and 3/4
Expression: 17 1/2 +4 3/4
Elevation relative to ground: 22 1/4
Next he decreases the elevation by 15.8 feet
Expression: 22.25-15.8
Elevation relative to ground: 6.45
The answer 6.45 feet from the ground
3(1-2x)>3-6x what is x plz show work
Answer:
The answer is 0.
Search up "Linear Equation Calculator" and use one of those to get the work.
Answer:
No solution
Step-by-step explanation:
3(1-2x)>3-6x
3-6x > 3-6x
3 3
The Carey family took a trip in November. Mary is calculating the gas mileage in miles per gallon for her dad's truck. When he fills the tank, her dad records the miles on the truck as 15,345. Her dad pays $53.28 to fill up the empty gas tank of the truck. What is the size of the truck's tank in gallons if it cost $3.33 per gallon? Round your answer to the nearest whole number. Be sure to include the correct units in your final answer. *
Answer:
The size of the tank is 16 gallons
Step-by-step explanation:
Here, we want to calculate the size of the gas tank of the truck
we simply divide the total amount spent by the price per gallon
Mathematically, that will be;
53.28/3.33 = 16 gallons
Find an expression which represents the difference when (-3x-4y) is subtracted from (x+6y) in simplest terms
9514 1404 393
Answer:
4x +10y
Step-by-step explanation:
Indicate the subtraction, use the distributive property, collect terms.
(x +6y) -(-3x -4y) = x +6y +3x +4y
= (x +3x) +(6y +4y)
= 4x +10y
Answer:
2y - 4x
Step-by-step explanation:
equation: x + 6y - 3x - 4y
combine like terms: x -3x + 6y - 4y
add/subtract: -4x + 2y
switch: 2y - 4x
I hope this helped, please mark Brainliest, thank you so much!!
Mya creates the
table below to
show how much
fruit to put in her
shake. How much
fruit should she
use if she is
making 5 servings?
Can someone help me with the questions in the picture??
Answer:
16.) The store bought 816 light bulbs
17.) The total savings of Mr. Wilson after he buys the tickets is $268
Answer:
oki so the answer for the other question is 9. 1,100 and 10. 2,920
Step-by-step explanation:
What is the equation of this graphed line
Answer:
y=2x+2
Step-by-step explanation:
Use the method rise overrun from 0,2 to 2,6 it rises 4 and runs 2(moves positively on the x-axis). divide 4 by 2 and get 2.
then check the y-intercept( when x is 0 on y-axis) the y intercept is 2
then plug in y=slope(x)+b(intercept)
to get y=2x+2.
The elevation of a toy glider changes by -19.5 centimeters in 3 seconds.
What is the rate of the toy glider's change
in elevation?
Answer:
Basically do -19.5 divided by 3
The answer is -6.5
Step-by-step explanation:
Hope that helps :)
The rate of change in elevation is approximately -6.5 centimeters per second.
What is division?Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.
To find the rate of change in elevation, we need to divide the change in elevation by the time it took to change.
The change in elevation is -19.5 centimeters (we use a negative sign to indicate the decrease in elevation).
The time it took to change is 3 seconds.
Therefore, the rate of change in elevation is:
rate of change = change in elevation / time
rate of change = -19.5 cm / 3 sec
rate of change ≈ -6.5 cm/sec
So the rate of change in elevation is approximately -6.5 centimeters per second.
To learn more about the division;
https://brainly.com/question/13263114
#SPJ2
RootIndex 3 StartRoot StartFraction x cubed Over c y Superscript 4 Baseline EndFraction EndRoot = StartFraction x Over 4 y (RootIndex 3 StartRoot y EndRoot) EndFraction
Answer:
C. c = 64
Step-by-step explanation:
The question is incomplete. Here is the complete question.
What value of c makes the equation true? Assume x greater-than 0 and y greater-than 0
RootIndex 3 StartRoot StartFraction x cubed Over c y Superscript 4 Baseline EndFraction EndRoot = StartFraction x Over 4 y (RootIndex 3 StartRoot y EndRoot) EndFraction
c = 12
c = 16
c = 64
c = 81
Given the function;
[tex]\sqrt[3]{\dfrac{x^3}{cy^4} } = \dfrac{x}{4y\sqrt[3]{y} }[/tex]
We are to find the value of c from the expression.
Step 1: Take the cube of both sides;
[tex](\sqrt[3]{\dfrac{x^3}{cy^4} } )^3= (\dfrac{x}{4y\sqrt[3]{y} })^3\\\dfrac{x^3}{cy^4} = \dfrac{x^3}{(4y)^3(\sqrt[3]{y} )^3}\\\dfrac{x^3}{cy^4} = \dfrac{x^3}{(64y^3)(y)}\\\\\dfrac{x^3}{cy^4} = \dfrac{x^3}{64y^4}\\[/tex]
Step 2: compare the denominator of both sides of the equation;
[tex]\dfrac{x^3}{cy^4} = \dfrac{x^3}{64y^4}\\\\On \ comparing;\\\\cy^4 = 64y^4\\[/tex]
Step 3: Divide both sides by y₄
[tex]\dfrac{cy^4}{y^4} = \dfrac{64y^4}{y^4}\\c = 64\\[/tex]
Hence the value of c is 64. Option C is correct
Answer:
C is the anwser
Step-by-step explanation:
my bf told me to pick c, so therfore it is the right anwser. lol no but fr i did get it right on edge
Whats -4 + 3x=8x-9+3
Answer:
=2/5
Step-by-step explanation:
HELP ME THIS IS THE LAST ONE
Answer:
100,000m
Step-by-step explanation:
find the square root of 100 squared +1,000squared
Please helpppp meee
Answer:
the answer is 90° because you need to figure out the degree.
Step-by-step explanation:
2 and 3 equals to 6 .
That's how you got that.
What are the four types of slope
Answer:
Negative, positive, 0, undefined
Step-by-step explanation:
A negative slope is when a line is going down from left to right. A positive slope is when a line is going up from left to right. A slope of 0 is a horizontal line and an undefined slope is a vertical line. Hope this helps!
How many halves are in 8/10
Answer:
1 half with 3/10 left over.
Step-by-step explanation:
1/2 is also 5/10, so that means that there is one 5/10 is 8/10, with 3/10 left over
How to do this question plz answer
Answer:
$6.00
Explanation:
10% of 200 is 20
20/30 = $.6666
Each parent gets $0.67 off.
$200/30 = $6.6666
$6.6666 ---> $6.67
6.67 - 0.67
= 6.00
Check:
6.00 * 30 = 180
200-180 = 20
Consider Brainliest! Hope I helped!
Answer:
Each parent pays an amount of £6.
Step-by-step explanation:
Cost of the hall = £200
Discount for parents = 10%
Cost of the hall for parents
= 200 - 10% of 200
= 200 - 10/100 × 200
= 200 - 10 × 2
= 200 - 20
= £180
If 30 parents share the cost equally,
Each parent has to pay
180/30
= 18/3
= 6
Could someone give me some input on why in part B 10 to the power of 3 is included in the equation to obtain the answer 1.47 x 10 to the power of 11
Answer:
10^3 = 1000. Look at the question carefully. it says the speed is in meters per second while your distance is in kilometers so yeah need to multiply by 1000
Adventureland plans on updating the Arcade with some new and improved games.
They plan on purchasing a new Air hockey table for $875.23, a pinball machine for
$622.19, and two arcade racing games for $942.49 each. What is the total cost for the
new games including an 8.75% sales tax? I will give brainiest
Answer: $3678.36
Step-by-step explanation:
New airball hockey table = $875.23
pinball machine = $622.19
2 arcade racing games = $942.49 each.= $942.49 × 2 = $1884.98
Total amount without sales tax will be:
= $875.23 + $622.19 + $1884.98
= $3382.4
Sales tax = 8.75% × $3382.4
= 0.0875 × $3382.4
= $295.96
Total cost = $3382.40 + $295.96
= $3678.36
This table shows a linear relationship.
x 6 7 8 9 10
y 17 19 21 23 25
Based on the information in this table, which equation can be used to model the relationship between x and y?
y = 2x + 5
y = 5x
y = 2x
y = 5x + 2
Answer: I think it's A. But I'm not entirely sure,
Step-by-step explanation:
Answer:
its y=2x + 5
explanation:
I took the test and got it right
The diagram shows a periscope used to see objects that are behind or under a barrier. What makes it possible to see an object when looking through a periscope? The periscope –
A. contains mirrors that reflect the object
B. magnifies small objects so they can be seen
C. absorbs the light rays passing through it
D. separates the light into different colors
Answer: A. contains mirrors that reflect the object
Step-by-step explanation:
A periscope contains mirrors in it that are on opposite sides and are arranged in a 45° angle to each other. It works by light striking the first mirror which cause its to reflect it at a 45° angle to the next mirror.
Depending on the length of the periscope, this continues until the last mirror reflects the incoming light to the eyes of the person using the periscope thereby allowing them to see objects hidden behind or under a barrier.
Find the equation of the line that is perpendicualr to the line y=1/5x-4 and that contains the point (1,1).
‼️ASAP!!! BRAINLIEST!!‼️
PLS HELP!!! SHOW ALL WORK + STEPS!! Thx!
Answer:
Option A
Step-by-step explanation:
to be perpendicular, the product of two slopes should be -1
the slope of the first equation is 1/5, so the slope should be -5
(1/5) (-5)= -1
y= -5x +b
Substitute (1,1) to solve for b,
b= 6
Thus, the equation is y= -5x +6
What is the initial cost of the car?
(-3,7), (3,3) write in standard form
Answer:
3x−y=2
Step-by-step explanation: