Answer:
y = 12.50x + 50
Step-by-step explanation:
The linear equation is y=mx + b
b in this one is 50
And the x or the slope is 12.50
The perimeter of a rectangle i 80 inche. The length of the rectangle i 12 inche. Which equation could repreent the width of the rectangle, w? Repone w = 2(80 – 12) w, = 2(80 – 12) w = (80 – 12) ÷ ÷ 2 w, = (80 – 12) divided by 2 w = 2(80 – 24) w , = 2(80 – 24) w = (80 – 24) ÷ ÷ 2
The perimeter of a rectangle i 80 inche. The length of the rectangle i 12 inchs then width is equal to 28 inch
What is length area and perimeter?
Firstly, the area of a shape is the surface or flat space that the shape covers whereas the perimeter of a shape represents the distance around its boundary. Secondly, the area is measured in square units, whereas the perimeter is measured in linear units.
given that the perimeter of a rectangle is 80 inch
we know that
perimeter = 2 ( L +B)
putting the values we get
80 = 2 ( 12 + B)
40= 12+B
B= 28
then the width is equal to 28inch
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in the diagram PQRS is a circle centre O. If angel POQ = 150° angle QSR= 40° and angel SQP= 45° calculate angel RQS.
Answer:
the angle would be 40 degrees
Step-by-step explanation:
using the alternative angle property the angle is 40
PLEASE HELP QUICK!! WILL GIVE BRAINLIEST AND 25 POINTS!!
Find the value of x, round to the nearest degree.
Answer:
7
Step-by-step explanation:
4+3=7
7-4=3
7-3=4
M = -21 divided by 0
By using the property of division, it can be calculated that M = -21 divided by 0 is not possible
What is division?
Division is the process by which value of single unit can be calculated from the value of multiple unit.
The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.
There is a well known formula for division
Divisor x Quotient + Remainder = Dividend.
Anything divided by 0 is not possible.
M = -21 divided by 0 is not possible
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Find the percent the first number is of the second.
(1.) 1.5 and 7.5,
(2.) 5ft 37.5ft
To find the percent that 1.5 is of 7.5, we need to divide 1.5 by 7.5 and multiply the result by 100% to convert it to a percentage:
1.5 / 7.5 = 0.2
0.2 * 100% = 20%
Therefore, 1.5 is 20% of 7.5.
To find the percent that 5ft is of 37.5ft, we need to divide 5 by 37.5 and multiply the result by 100% to convert it to a percentage:
5ft / 37.5ft = 0.1333
0.1333 * 100% = 13.33%
Therefore, 5ft is 13.33% of 37.5ft.
HELPPP Determine the value of h in the equation one third plus h equals five thirds.
six thirds
fourth thirds
six over nine
four ninths
Answer:
h = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] + h = [tex]\frac{5}{3}[/tex] ( subtract [tex]\frac{1}{3}[/tex] from both sides )
h = [tex]\frac{5}{3}[/tex] - [tex]\frac{1}{3}[/tex] = [tex]\frac{4}{3}[/tex]
a technician is launching fireworks near the end of a show. of the remaining thirteen fireworks, seven are blue and six are red. if she launches four of them in a random order, what is the probability that exactly two of them are blue ones
The probability that exactly two of thirteen fireworks are blue ones out of total 4 selections is 63/143.
Define the term probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.The stated data;
Total fire works = 13Blue = 7Red = 6You want 2 of the 7 items she selects to be blue, leaving 2 to be red.
Selecting 2 blue out of 7 blues is ⁷C₂ = 7!/(5!.2!) = 21
Selecting 2 red out of 6 red = ⁶C₂ = 6!/(4!2!) = 15
Selecting total of 4 out of 13 ; ¹³C₄ = 13! / (9!.4!) = 715
Thus, probability that exactly two of them are blue ones;
P(2 blue) = 21 x 15 / 715
P(2 blue) = 63/143
Thus, probability that exactly two of them are blue ones out of total 4 selections is 63/143.
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Hamburger Heaven is having a lunch special where customers buy one 1/2-* 1 p
pound cheeseburger and get one free. If they set aside 48 pounds of meat,
how many 1/2-pound cheeseburgers can they make?
24
96
O 144
O48
Answer:
hshsjsjs
Step-by-step explanation:
shhshshsjdjdjdjdj
14)
a) Find the equation of a parabola which has a vertex at (2,-3) and passes through the point
(5,7).
(a) The quadratic equation (x+2)² +3k-1=0 has two real and distinct roots, where k is a constant. Find the range of values of k.
Answer: This means that the range of values of k is k ∈ [-1/3, 1/3].
Step-by-step explanation: The quadratic equation (x+2)² +3k-1=0 can be written as (x+2)² = 1-3k. For the equation to have two real and distinct roots, the expression under the square root must be nonnegative. Therefore, we have the inequality 1-3k ≥ 0. Solving this inequality gives us -1/3 ≤ k ≤ 1/3. This means that the range of values of k is k ∈ [-1/3, 1/3].
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1 balls and bins throw n balls into m bins, where m and n are positive integers. Let x be the number of bins with exactly one ball. Compute var(x). Your final answer should not contain any summations
Using 1 balls and bins, n balls are thrown into m bins; m and n are positive numbers. the probability of any given bin containing one ball is n/m n * (1 - (1 - 1/m)^n) / m^2
Given that n is the number of balls and m is the number of bins, the probability of any given bin containing one ball is n/m. Therefore, the variance of x is equal to the variance of a binomial random variable with n trials and probability of success p = n/m.
By the formula for the variance of a binomial random variable, the variance of x is equal to n * (1 - (1 - 1/m)^n) / m^2.
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PLEASE HURRY! Brody works at the ticket booth at the movie theater and sold 25 adult tickets and several child tickets during the first hour at work. Each adult ticket costs $12, and each child ticket costs $6. Brody collected $360 during that hour.
How many child tickets did he sell?
___ child tickets
Answer:
10 Child Tickets
Step-by-step explanation:
25 x 12 = 300
So we need 60
6 x 10 = 60
Step-by-step explanation:
25 x 13 = 300
6 x 10 = 60300 + 60 = 360
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
there are about 1,265 school districts in the state of texas that generate an equivalent expression using prime factorization for the number 1,265
pls, help whoever answers first gets brainliest!!
Answer:
1265 = 5*11*23------------------------------------------
Find prime factors of 1265.
We see it is divisible by 5 since ends with 5:
1265/5 = 253253 is not divisible by 3 or 9 since the sum of digits is not divisible by 3 or 9. It is not divisible by 7 (since 25 - 3*2 = 19 is not divisible by 7) but divisible by 11, since the sum of digits in odd places is same as the digit in the even place (recall divisibility by 11):
253/11 = 2323 is a prime number so no more factors.
Hence the prime factorization of 1265 is:
1265 = 5*11*23The function shown in the graph below is modeled by:
a linear function.
an exponential function.
a quadratic function.
The 2 digit number which become 5 by 6th of itelf when it digit are revered. The difference in the digit of the
number being 1, then the two digit number i
After solving the two digit number is 45.
In the given question,
The 2 digit number which become 5 by 6th of itself when it digit are revered.
The difference in the digit of the number being 1, then we have to find the two digit number.
Let the two digit number = 10y+x
When we reversed the number then the number is 10x+y
As given that;
10y+x = 5/6(10x+y)
Multiply by 6 on both side, we get
60y+6x = 50x+5y
Subtract 5y on both side, we get
55y+6x = 50x
Subtract 50x on both side, we get
55y-44x = 0
Divide by 11 on both side, we get
5y-4x = 0
4x-5y = 0......................(1)
It is given that the difference between the number is 1.
x-y = 1..................(2)
Multiply by 4 in equation 2
4x-4y = 4.........................(3)
Now subtract equation 3 and 1, we get
y = 4
Now putting the value of y in equation 2
x-4 = 1
Add 4 on both side, we get
x = 5
Since the number is 10y+x. So
10y+x = 10(4)+5
10y+x = 45
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A Web site sells baseball caps for $12 each. There's a $4 shipping charge no matter
how many hats you order. The equation c = 12h + 4 gives the total cost to buy h hats.
Which statement correctly describes what happens when h increases?
Answer:
0
Step-by-step explanation:
how is 15×3/5 = 9
the slash is for the fraction
Answer:15x3 /=divide 5 = 9
Step-by-step explanation:
because if you do 15x3 it is 45 then you divide it by 5 and get 9 as your answer!
81 of [60-{8*7-(13-3*5)}] find simply
Answer:
Step-by-step explanation:
81 of [60-{(8*7)-(13-(3*5))}] =
81 of [60-{56}-(13-15)] =
81 of [60-{56}-(-2) =
81 of [60-{56}+2] =
81 of [6] =
81% of 6 = 4.86
An office machine purchased new for $3600 loses $400 each year.
Assume the value continues to decrease the same amount
each year. If f(x) represents the value of the office machine
after x years, which linear function models the given situation?
The linear function models the given situation will be equal to f(x) = $3600 - $400(x).
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
Original price of Machine = $3600
Price lost by the machine each year = $400
Then, the equation will be,
f(x) = $3600 - $400(x)
Here, x represents the number of years.
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Answer:
f(x) = −400x + 3600
If AB has endpoint A(2, 13) and midpoint
(10,-1) then give the coordinate of B.
Answer:
(18, -15)
Step-by-step explanation:
The vector AB is defined by its starting and endpoints. Usually, B would be at the end, but in this case A is. Since we are given its midpoint, that is, the point equidistant from both the coordinates A and B, we can find coordinate B by simply calculating the distance between A and the midpoint and reapplying this distance to the midpoint.
1. Finding the distance between the midpoint and A:
The distance between two coordinates, from what I can recall, is simply the final coordinate value minus the initial coordinate value, following the form (x2-x1, y2-y1). We know that A comes after the midpoint, because it is the endpoint (so it will be the final coordinate value). Applying this to the context of the question, (2-10, 13+1) = (-8,14).
2. Finding B using the distance between midpoint and A:
B will be the initial coordinate value because it comes before the midpoint. Therefore, giving B the values (x,y): (10-x, -1-y) = (-8, 14). Separating into two equations (respective to each axis):
10-x=-8
-x=-18
x=18
-1-y=14
-y=15
y=-15
Therefore, the coordinate of B is (18, -15).
in how many ways can a committee with 4 democrats and 2 republicans be formed from a group of 7 democrats and 5 republicans?
A committee with 4 democrats and 2 republicans formed from a group of 7 democrats and 5 republicans can be created in a total of 350 ways. Therefore, the option C holds true.
The calculation of the same has been shown as below,
A group has 7 Democrats and 5 Republicans.
Committee with 4 Democrats and 2 Republicans = 7C4 x 5C2
7C4 x 5C2 = 7! / (4! 3!) x 5! / (2! 3!)
7C4 x 5C2 =(7×6×5 / 3×2×1) x (5×4 / 2×1)
7C4 x 5C2 = 35 × 10
7C4 x 5C2 = 350
Therefore, a committee can be created in 350 ways.
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Complete Question
In how many ways can a committee with 4 Democrats and 2 Republicans be formed from a group of 7 Democrats and 5 Republicans?
A 105
B 924
C 350
D 1680
original equations: S(p) = -200 + 50p and D(p) = 1060 - 55p please find the equilibrium price and quantity of the two equations. I think I already set up the equation for the equilibrium price here, though no guarantee that I did it right. Qd = 1060 - 55p = Qs = -200 + 50p
The equilibrium price is; $12
The quantity for the two equations is; 400
How to find the equilibrium price?
The equilibrium price formula is based on the demand and supply quantities; you will set quantity demanded (Qd) equal to quantity supplied.
The equilibrium price definition above is one that tells us that there is a price point that meets the needs of both supply and demand. In order to understand when those needs are met, we need to know how to find equilibrium price.
We are given;
Quantity supplied; S(p) = -200 + 50p
Quantity demanded; D(p) = 1060 - 55p
Thus, equilibrium price is p when;
S(p) = D(p)
-200 + 50p = 1060 - 55p
1060 + 200 = 55p + 50p
1260 = 105p
p = 1260/105
p = $12
S(p) = -200 + 50(12)
S(p) = 400
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Karen earns £12.80 an hour for a 35 hour week, time and a half on the next 6 hours and double time after that. How much does she earn for a 43 hour week?
Answer:
I hope the image helps!
Use Infinite differences to write the linear function that represents the given data set.
The linear equation on the table is the one in option D.
y = 25*x + 45
How to write the linear function?
A general linear function is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know two points on the line, (x₁, y₁) and (x₂, y₂), the slope can be written as:
a = (y₂ - y₁)/(x₂ - x₁)
Using the first two points, (0, 45) and (1, 70) we can get the slope:
a = (70 - 45)/(1 - 0) = 25
And because of the point (0, 45) we know that the y-intercept is b = 45, then the linear equation is:
y = 25*x + 45
So the correct option is D.
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find the exact length of the curve. y = 3 + 4x3/2, 0 ≤ x ≤ 1
So the exact length of the curve is given by [tex]L=(1/36)*[\frac{37^{3/2}}{3/2} - 1][/tex]
Given the equation of curve:
[tex]y = 3+ 4x^\frac{3}{2}[/tex]
The length of the curve is given by [tex]L= \int\limits^a_b {\sqrt{1+(y^[/tex]
Where y^ is derivative of y with respect to x
So [tex]y= 4*(3/2) * \sqrt{x}= > 6 \sqrt{x}[/tex]
Given a=1 and b=0
So [tex]L= \int\limits^1_0 {\sqrt{1+(6\sqrt{x})^2 } } \, dx[/tex]
[tex]L= \int\limits^1_0 {\sqrt{1+36x } } \, dx[/tex]
let 1+36x be t
36dx = dt
As the value of x changes after the substitution of the value.
So now the L changes as:
[tex]L= 1/36 \int\limits{\sqrt{t } } \, dt[/tex]
[tex]L=1/36* \left \{ {{t=37} \atop {t=1}} \right. \frac{t^\frac{3}{2} }{\frac{3}{2} }[/tex]
[tex](1/36)*[\frac{37^{3/2}}{3/2} - 1][/tex]
the min value of t=1 and max value of t=37
[tex]L=(1/36)*[\frac{37^{3/2}}{3/2} - 1][/tex]
[tex]L=(1/36)*[\frac{37^{3/2}}{3/2} - 1][/tex]
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The area of the figure above is
blank + 25pi/4
Answer:
Add 75 for the blank number----------------------------
Divide the figure by three parts for easy calculation of its area:
Rectangle of 5 by 10 units, Square of 5 units,Quarter-circle of 5 units radius.Find each area and add up:
A = 5*10 + 5*5 + π*5²/4 A = 50 + 25 + 25π/4A = 75 + 25π/4The blank is 75.
Marshall is looking at the key on a map. According to the key, 1 inch = 24 miles. Marshall measures the
distance between 2 cities on the map and discovers they are 11.5 inches apart. How many miles apart are the two cities?
A. 276 miles apart
B. 210 miles apart
C. 249 miles apart
D. 294 miles apart
Answer:
A. 276 miles apart
Step-by-step explanation:
We have the information that if two cities are 1 inch apart then the distance between them is 24 miles.
If it is 11.5 inches apart, then we should multiply the 24 miles per inch by 11.5
24 miles / 1 inch
(24 miles / 1 inch) * 11.5 inches
Inches cancel so you are left with
24 * 11.5 = 276 miles
If f(x) =
√x-10+3, which inequality
x-10+3, which inequality can be used to find the domain of f(x)?
O
0x20
Ox-1020
O √x-10
x-10+320
Inequality can be used to find the domain of f(x) is [tex]$\quad x \geq 20$[/tex]
Interval Notation: [tex]$[20, \infty)$[/tex]
What is Domain definition?
The domain of a function is the set of input or argument values for which the function is real and defined.
Find non - negative values for radicals: [tex]$x \geq 20$[/tex]
The function domain
[tex]$$x \geq 20$$[/tex]
Range of[tex]$\sqrt{\frac{1}{2} x-10}+3:\left[\begin{array}{cc}\text { Solution: } & f(x) \geq 3 \\ \text { Interval Notation: } & {[3, \infty)}\end{array}\right]$[/tex]
Function range definition
The set of values of the dependent variable for which a function is defined
The range of an radical function of the form [tex]$c \sqrt{a x+b}+k$[/tex] is [tex]$f(x) \geq k$[/tex][tex]$k=3$[/tex]
[tex]$f(x) \geq 3$[/tex]
Axis interception points of [tex]$\sqrt{\frac{1}{2} x-10}+3$[/tex] : None
x - axis interception points of [tex]$\sqrt{\frac{1}{2} x-10}+3$[/tex] : None
y - axis interception point of [tex]$\sqrt{\frac{1}{2} x-10}+3$[/tex] : None
None
Extreme Points of [tex]$\sqrt{\frac{1}{2} x-10}+3: \quad$[/tex]Minimum (20,3)
First Derivative Test definition
Suppose that [tex]$x=c$[/tex] is a critical point of f(x) then, If [tex]$f^{\prime}(x) > 0$[/tex] to the left of [tex]$x=c$[/tex]and [tex]$f^{\prime}(x) < 0$[/tex] to the right of x=c then x=c is a local maximum. If [tex]$f^{\prime}(x) < 0$[/tex] to the left of [tex]$x=c$[/tex] and [tex]$f^{\prime}(x) > 0$[/tex] to the right of [tex]$x=c$[/tex] then [tex]$x=c$[/tex] is a local minimum. If [tex]$f^{\prime}(x)$[/tex] is the same sign on both sides of [tex]$x=c$[/tex] then [tex]$x=c$[/tex] is neither a local maximum nor a local minimum.
[tex]$$f^{\prime}(x)=\frac{1}{2 \sqrt{2} \sqrt{x-20}}$$[/tex]
Find intervals: Increasing:20 [tex]$ < x < \infty$[/tex]
Plug [tex]$x=20$[/tex] into [tex]$\sqrt{\frac{1}{2} x-10}+3: \quad 3$[/tex]
Minimum (20,3)
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