By solving the linear equation it can be obtained that
The value of x is 2
What is a linear equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.
A one degree equation is known as linear equation.
The given linear equation is
0.3 = 0.5x - 0.7
0.5x = 0.3 + 0.7
0.5x = 1
x = [tex]\frac{1}{0.5}[/tex]
x = 2
The solution of this linear equation is x = 2
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22.83/0.06 = __________
Answer: 380.5
Step-by-step explanation: you can type it into desmos graphing calculator
Using the parent function, f(x)
, graph the new function after the transformations listed below:
a) Reflect the graph about the x-axis.
b)Vertical compress by a factor of 13 .
c) Vertical shift up 2.
d) Horizontal shift right 3.
The graphs of the transformed functions are below, the colors are:
a) g(x) = -x^2 → green.
b) g(x) = x^2/13 → blue
c) g(x) = x^2 + 2 → orange
d) g(x) = (x - 3)^2 → purple.
How to graph the transformed functions?Here we have the quadratic parent function:
f(x) = x^2
And we want to apply some transformations, and then graph them.
The transformations are:
a) "Reflect the graph about the x-axis."
This is written as:
g(x) = -f(x)
Replacing f(x) by the actual function:
g(x) = -x^2
b) "Vertical compress by a factor of 13"
This is written as:
g(x) = f(x)/13 = x^2/13
c) "Vertical shift up 2."
This is written as:
g(x) = f(x) +2 = x^2 + 2
d) "Horizontal shift right 3."
This is written as:
g(x) = f(x - 3) = (x - 3)^2
The graphs are below, the colors are:
a) g(x) = -x^2 → green.
b) g(x) = x^2/13 → blue
c) g(x) = x^2 + 2 → orange
d) g(x) = (x - 3)^2 → purple.
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Helppppp! Line A and Line B are parallel and Line P is a transversal. The measure of angle 3 is 52°.
Find the measures of the rest of the angles in the diagram.
Answer:
Angle 1: 28 degrees
Angle 2: 52 degrees
Angle 3: 52 degrees
Angle 4: 28degrees
Angle 5: 28degrees
Angle 6 : 52degrees
Angle 7 : 52degrees
Angle 8 : 28degrees
You work in a nursery with
20 children aged 3 - 5 years.
Your current room size is
415m² and does not meet
floor space requirements.
The room needs to increase
in size by 11%.
How big should the room
be?
Answer:
The room should be 460.65 [tex]m^{2}[/tex].
Step-by-step explanation:
First, you have to convert the percentage to a fraction.
11% = 0.11
Then add one to that number.
0.11 + 1 = 1.11
Multiply the number with the original room size.
415 * 1.11 = 460.65 ([tex]m^{2}[/tex])
67 and 113 multiples of 3,6 and 7
The number 67 and 113 are not the multiples of 3,6 and 7.
What is defined as the multiples?Multiples are the results of multiplying one whole number from another whole number.
A multiple is a products produced by multiplying one number by another. For instance, if we say 4 5 = 20, 20 is a multiple of 4 as well as 5.Every number multiplies itself.A number's multiples are infinite.A number's multiple is equal or greater to the number on its own (except for 0).Now, for the given question;
As, 67 and 113 are not completely divisible by 3. They are not multiple of 3.
67 and 113 are not entirely divisible by 6. So, they are also not the multiple of 6.
Now, 67 and 113 are also not entirely divisible by 7. Thus, they are also not the multiple of 7.
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the sum of two consecutive integers is 187. find the integers
Answer:
92.5 and 94.5
___________________
Solve[tex]187 \div 2 = 93.5\\\mathrm{Split\:93.5\:into\:two\:integers\:by\pm1}\\93.5 - 1 = 92.5\\93.5 + 1 = 94.5[/tex]
→ Thus, we have our two integers.
_________________________
Bennett is setting up a light display for a wedding with two 10-foot strands of lights. The lights will be attached to the top of a pole and to two stakes on the ground forming two right triangles. If the distance from the base of the pole to each stake is the same as the height of the pole, how tall, in feet, should the pole be? Round your answer to the nearest tenth.
The height of the pole is 7.1 feet.
Given that a light display for a wedding with two 10-foot strands of lights and top of a pole and to two stakes on the ground forming two right triangles.
The Pythagorean theorem, also known as the Pythagoras theorem, explains the relationship between the three sides of a right triangle.
The two sides of triangle are equal that is x and and the third side is 10.
Now, we will apply the pythagoras theorem, we get
B²+P²=H²
Here B=P+x and H=10
x²+x²=(10)²
2x²=100
Now, we will divide both sides with 2, we get
2x²/2=100/2
x²=50
Now, we will take square root on both sides, we get
√x²=√50
x=√50
x=7.07106781
The Round to the nearest tenth is x=7.1 feet.
Hence, the height of the pole when wedding with two 10-foot strands of lights and the lights will be attached to the top of a pole and to two stakes on the ground forming two right triangles is 7.1 feet.
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PLEASE HELP!!!
Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180° In a triangle, the measures of the three angles are x, x + 7, and x - 13. What is the measure of each angle?
Answer:
The sides are 62, 69, and 49
Step-by-step explanation:
x + (x + 7) + (x - 13) = 180
3x - 6 = 180
3x = 186
x = 62
Tanisha mowed five lawns last week she mowed each one and 712 hour she wrote the same ones this week in 5/12 hour using her lawnmower how many times longer was tanisha’s Time to mow all the lawns last week and this week express your answer as an improper fraction
Tanisha takes 5/6 hours longer to mow all the lawns last week than this week.
Here, we are given that Tanisha mowed 5 lawns last week in 7/ 12 hours each.
Thus, the total time taken by her to mow 5 lawns = 5(7/12)
= 35/ 12 hours
Now, this week she mows the five lawns in 5/12 hours each
Thus, the total time taken by her = 5(5/12)
= 25/12 hours
Therefore, the difference between the time taken by her last week and this week will be-
35/ 12 - 25/ 12
= (35 - 25)/ 12
= 10/ 12
= 5/6
Thus, Tanisha takes 5/6 hours longer to mow all the lawns last week than this week.
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5. Combien de paires de nombres naturels peut-on former dont : a) la somme est 23? b) la différence est 100?
Answer: a) 24 b) infini
Step-by-step explanation: a) parce que tu peut faire que 24 somme pour faire 23. B) infini car tout plus haut 100 fonctione
There are 6 faces on a standard die. How many faces are on 5 dice?
Answer: 30
Step-by-step explanation: just do 6*5, 6 faces for five die is thirty faces
There are 30 faces on 5 dice in total.
Given that a standard die has 6 faces on it, we need to determine the number of the faces on 5 dice.
A standard die has 6 faces. If you have 5 dice, each with 6 faces, you can calculate the total number of faces by multiplying the number of dice by the number of faces on each die:
Total number of faces = Number of dice × Number of faces on each die
Total number of faces = 5 dice × 6 faces/die
Total number of faces = 30 faces
So, there are 30 faces on 5 dice.
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A superhero recently asked his nemesis how many cats she has. She answered with a riddle: "Five-sixths of my cats plus six"
How many cats does the nemesis have?
Consider Line 2, which has the equation: y = = - 1/3x + 14, Give the equation of the line parallel to Line 2 which passes through: (-7,4).
The equation of teh second line is y = -1/3x + 5/3
How to determine the equation?The first equation is given as
y = -1/3x + 14
The slope of the above equation is
m = -1/3
Parallel lines have equal slope
So, the slope of the other line is
m = -1/3
The equation is then calculated as
y = m(x - x1) + y1
So, we have
y = -1/3(x + 7) + 4
Expand
y = -1/3x - 7/3 + 4
Evaluate
y = -1/3x + 5/3
Hence, the equation of teh second line is y = -1/3x + 5/3
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You are getting on a plane to visit family 1200 miles away. The plane you are boarding will travel on
average 500 miles per hour. How long will the trip take you?
Answer:
2.4 hours or 2 hours and 24 minutes
Step-by-step explanation:
Distance = rate times time
d = rt
1200 = 500t Divide both sides by 500
2.4 = t
It will take 2.4 hours. We can convert the .4 into minutes by using a unit multiplier 60 minutes = 1 hour.
[tex]\frac{.4hours}{1}[/tex] x [tex]\frac{60minutes}{1hour}[/tex] The words hours cancel out and we are left with
.4 x 60 = 24 minutes.
maths geometry questions
pleas help
Step-by-step explanation:
remember, a parallelogram is a quadrilateral with 2 pairs of parallel and equal sides, and 2 pairs of correspondingly equal angles. and its diagonals are intersecting each other in their midpoint.
with that in mind
(i)
because ABCD is a parallelogram, AD = BC, and AB = CD.
and angle A = angle C (and angle B = angle D).
therefore, as AE = FC, this also means that ED = BF.
via SAS (side angle side) it is clear that the triangles ABE and CDF are congruent.
therefore, EB = DF.
as ED is part of AD, and BF is part of BC, it is also clear that ED || BF.
together with ED = BF this means that EB || DF.
so, we have with BEDF 2 pairs of parallel and equal sides. and that is a parallelogram.
(j)
BCDE and ABCG are parallelograms.
so, BC = DE = AG, CD = BE, AB = CG.
due to the midpoint intersection rule of the diagonals of parallelograms, we also know
GE = CG = AB, DG = BG.
and as CG || AB, then also GE || AB.
together with AB = GE that means that AE = BG and AE || BG.
so, we have with ABGE again 2 pairs of parallel and equal sides. and that is a parallelogram.
Simplify the quantity 9 minus two thirds times the square root of 9 end quantity squared plus the quantity 1 minus 6 end quantity squared.
74
24
495
1,225
The correct answer is option A that is 74.
First, we need to put the expression in the form of mathematical equation. A mathematical equation may be defined as the combination of numbers and arithmetic symbols which are related to each other according to the expression given. The expression in the form of mathematical expression can be written as:
(9 - 2/3×√9)² + (1-6)²
Solving the brackets separately.
(9 - 2/3×3)² + (-5)²
Now in the next step, simplify the equation.
=>(9 - 2)² + 25
=>(7)² + 25
=>49 + 25
=>74.
Therefore, the required answer is 74.
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need help in algebra 2
Answer:(-2,2)
Step-by-step explanation:
24. Knowing a Person Who Was Murdered In a sample of 11,771 children
ages 2 to 17, 8% have lost a friend or relative to murder. Four children are
selected at random. (Adapted from University of New Hampshire)
(a) Find the probability that all four have lost a friend or relative to murder.
(b) Find the probability that none of the four has lost a friend or relative to
(c) Find the probability that at least one of the four has lost a friend or
relative to murder.
Using the binomial distribution, the probabilities are given as follows:
a) 0.000041 = 0.0041%.
b) 0.7164 = 71.64%.
c) 0.2836 = 28.36%.
For each person, there are only two possible outcomes, either they have lost a friend, or they have not. The probability of a person having lost a friend is independent of any other person, hence the binomial distribution is used to solve this question.
What is the binomial distribution formula?The formula for the probability of x successes is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.For this problem, the values of the parameters are:
n = 4, p = 0.08.
The probability of all four is P(X = 4), hence:
P(X = 4) = (0.08)^4 = 0.000041.
0.000041 = 0.0041% probability that all four have lost a friend or relative to murder.
The probability of none is P(X = 0), hence:
P(X = 0) = (0.92)^4 = 0.7164.
0.7164 = 71.64% probability that none have lost a friend or relative to murder.
The probability of at least one is given by:
P(X >= 1) = 1 - P(X = 0)
Then:
1 - 0.7164 = 0.2836.
0.2836 = 28.36% probability that at least one have lost a friend or relative to murder.
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6t^2/5+11t^1/5+3=000
You didn't provide a lot of info regarding the given question, however if you are looking to solve for t:
_______________________________________________
Isolate the variable by dividing each side by factors that do not contain the variable.
Solution's Exact Form:
[tex]t=-\frac{1}{243},-\frac{243}{32}[/tex]
_______________________________________________
Hope this helps! If not, please provide further info if you can regarding this question and I'll see what else I can do to help. If this did help however, lmk! Thanks and good luck!
Officials begin to release water from a full man-made lake at a rate that would empty the lake in 14
14
weeks, but a river that can fill the lake in 25
25
weeks is replenishing the lake at the same time. How many weeks does it take to empty the lake? Express your answer as a fraction reduced to lowest terms, if needed
Answer:
[tex]\frac{350}{11} weeks[/tex]
Step-by-step explanation:
Let V be the volume of water in the lake and w be the number of weeks to empty the lake
Since it takes 14 weeks to empty the lake by water release, the empty rate = V/14
But at the same time the river is replenishing the lake at a rate of V/25 since it will take 25 weeks to fill the empty lake
Net empty rate = Empty rate - replenishment rate = [tex]\frac{V}{14} - \frac{V}{25} = \frac{V}{w}[/tex]Divide the equation by V to eliminate V giving[tex]\frac{1}{14} - \frac{1}{25} = \frac{1}{w}[/tex]
Multiply by 350 (14 x 25) to eliminate the denominators[tex]25 - 14 = \frac{350}{w}[/tex] ==> [tex]11 = \frac{350}{w}[/tex]
Multiply both sides by w to cancel the denominator w11w = 350
Divide both sides by 11 to getw = [tex]\frac{350}{11 }[/tex] weeks
Pls answer report if bad answer
Answer:
18
Step-by-step explanation:
24 x 3/4 = 18.
Liberty middle school has 600 students in honors class three out of eight students walk to school how many students are at the school can be expected to walk to school
Answer:
225 students
Step-by-step explanation:
600 students, and [tex]\frac{3}{8}[/tex] of students walk to school
[tex]600 * \frac{3}{8} = 225[/tex]
225 students can be expected to walk to school
can some please explain to me how my teacher get to the part that i highlight. (2^-5)^-3x i'm so lost someone please explain
Answer:
see explanation
Step-by-step explanation:
using the rules of exponents
[tex]\frac{1}{a^{m} }[/tex] = [tex]a^{-m}[/tex]
then
[tex]\frac{1}{32}[/tex] = [tex]\frac{1}{2^5}[/tex] = [tex]2^{-5}[/tex]
and
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] , so
[tex](2^{-5}) ^{-3x}[/tex]
If AB=8x+2 and BC=4x+18 find AC
We get that value of AC after adding AB and BC as 12 x + 20.
We are given that:
AB = 8 x + 2 and BC = 4 x + 18
We need to find AC.
For this, we will add AB and BC.
Adding AB and BC, we get that:
AB + BC = AC
Substituting the values of AB and BC in the equation which are given to us:
AC = 8 x + 2 + 4 x + 18
Combining the like terms, we get that:
AC = 12 x + 20.
Therefore, we get that value of AC after adding AB and BC as 12 x + 20.
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Olivia counted thirty blue cars, ten red cars, and forty white cars in the parking lot. What is the ratio of white cars to blue cars, according to Olivia’s count?
3 to 4
1:4
4:1
43
Answer: I say 4/3 the fraction so your answer is D
Explanation: Because its white cars to blue cars the problem is whats equivalent to the ratio 40 to 30, 4:1 is not the same as 40 to 30 neither
is 1:4 or 3 to 4 So its D. :)
a population has mean of 0.1 and standard deviation of 2.1.what is the probability that the mean of a random sample of size 900 will be negative
Answer on Question #54875
–
Math
–
Statistics
and Probability
A normal population has a mean of 0.1 and standard deviation 2.1. Find the probability that the
mean of a sample of size 900 will be negative.
Solution
In accordance with the given problem, we have the following data:
μ
=
0
.
1
,
σ
=
2
.
1
and
n
=
900
. It is known that
푥
~
M
(
μ
,
σ
2
)
and
z
~
N
(
0
,
1
)
Find the first derivative (x²+x-2)/(2x²-2).
how to find the answer using the quotient rule.
the first derivative of the given function is:
f'(x) = (2x²- 12x - 2)/( 2x² - 2)²
How to find the derivative?
The quotient rule says that, if f(x) = g(x)/h(x), then:
f'(x) = ( g'(x)*h(x) - g(x)*h'(x) )/h(x)²
In this case we know that:
g(x) = x² + x - 2
h(x) = 2x² - 2
The derivatives are:
g'(x) = 2x + 1
h'(x) = 4x
Replacing that we get:
f'(x) = ( g'(x)*h(x) - g(x)*h'(x) )/h(x)²
= ( (2x + 1)*(2x² - 2) - ( x² + x - 2)*(4x) )/( 2x² - 2)²
Expanding the denominator we get:
f'(x) = ( 4x³ - 4x + 2x² - 2 - 4x³ + 4x² - 8x)/( 2x² - 2)²
f'(x) = (2x²- 12x - 2)/( 2x² - 2)²
That is the first derivative of the given function.
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ILL give BRAINIEST
What is the width of a rectangle with a length of 15 cm and area of 125 cm
No fake answers
Answer:
w≈8.33
Step-by-step explanation:
Greetings !
Firstly recall rectangle area formula
Thus,
[tex]area \: of \: rectangle \: = length \: \times \: width[/tex]
Given values:-
length = 15cmarea = 125cmrequire value:-
width =?solution/ work-out:-
[tex]width = \: \frac{area \: of \: rectangle}{length} [/tex]
[tex]w = \frac{125}{15} [/tex]
[tex]w = 8.333...[/tex]
Hope it helps !!!
how many different digits appear when 1/110 is written as a recurring decimal
The number of different digits that appear when [tex]\frac{1}{110}[/tex] is written as a recurring decimal is two digits i.e 9,0.
Given the fraction [tex]\frac{1}{110}[/tex]
Recurring decimal:
A repeating decimal, also known as a recurring decimal, is a decimal representation of a number whose digits are periodic (repeating at regular intervals) and whose infinitely repeated portion is not zero. It is possible to demonstrate that a number is rational if and only if its decimal representation repeats or terminates.
⇒[tex]\frac{1}{110}[/tex]=0.0090909090.....
Therefore,The number of different digits that appear when [tex]\frac{1}{110}[/tex] is written as a recurring decimal is two digits i.e 9,0.
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Last year, Salma invested her money in two purchases. She purchased a certificate of deposit for $3000 that paid 5% interest per year and purchased $7000 in corporate bonds paying 4% interest per year. Answer the questions below. Do not do any rounding.
Answer:
a. $2850
b. $6720
Step-by-step explanation:
a.
3000(1-0.05) = $2850
b.
7000(1-0.04) = $6720