The ratio of circumference/diameter for all circles is π. And the ratio of force/mass for all freely-falling bodies will be g.
What is the circumference of a circle?Let d be the diameter of the circle. The circumference of the circle will be
C = πd units
The ratio of circumference to diameter for all circles is pie.
C/D = πd / d
C/D = π
Then the ratio of force to mass for all freely-falling bodies will be
The force acting on a free-falling body of mass (m) is mg. Then we have
Force/Mass = mg / m
Force/Mass = g
Where g is the acceleration due to gravity.
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The sum of Melanie's and her brother's ages is 35. Four years from now, Melanie will be 5 years older than her brother. How old is Melanie? How old is her brother?
Answer:
Sum of ages is 35
Since there are two persons and it says four years from now, each year 2 more years will be added on to the 35 so year 1: 2years Year 2:4years Year 3:6years Year 4 : 8years
35+8= 43
Remember that Melanie will be 5 years older ( which she should have already been)
so 43+5= 48 ( Melanie's age)
and 48-5 = 43 ( Her brother's age)
Find the slope of the line in simplest form of a line containing points (-5,2) and (-7,4).
Answer:
-1
Step-by-step explanation:
[tex]\frac{4-2}{-7-(-5)}=\frac{2}{-2}=-1[/tex]
use headlights between sunset and sunrise and at any time when visibility is less than 500 feet to 1000 feet.
Use headlights between sunset and sunrise and at any time when visibility is less than 500 feet to 1000 feet: TRUE
What are headlights?A headlamp is a lamp connected to the front of a vehicle to illuminate the road ahead. Headlamps are also commonly referred to as headlights, but in the most precise usage, the flashlight is the term for the device itself, and the headlight is the term for the beam of light produced and sold by the device. If you are driving with your high-beam lights on, you must dim them at least 500 feet from any oncoming vehicle to avoid blinding the oncoming driver. If you are within 200-300 feet of the vehicle you are following, you must use low-beam lights. When visibility is less than 500 feet and there is insufficient light/adverse weather, headlights must be turned on for 1/2 hour after sunset to 1/2 hour before sunrise.Therefore, the statement "use headlights between sunset and sunrise and at any time when visibility is less than 500 feet to 1000 feet" is TRUE.
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The correct question is given below:
Use headlights between sunset and sunrise and at any time when visibility is less than 500 feet to 1000 feet. TRUE or FALSE
The measure of m/JML is 85°. Select all the true statements.
M
(6x + 2)°
K
(4x+3) °
L
A. m/JMK = 10°
B. m/KML = 11°
C. m/JMK = 50°
D. m/KML = 35°
E. m/JMK - m/KML = m/JML
Answer:
C an D are correct
Step-by-step explanation:
we add the two angles so as to find the value of x,
(6x+2)+(4x+3)=85
10x+5=85
10x=80
x=8
m/JMK=6x+2=6(8)+2=48+2=50°
m/KML=4x+3=4(8)+3=32+3=35°
so only C and D are correct
The measure of the angles ∠JMK and ∠KML will be 50° and 35°, respectively. Then the correct options are C and D.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
The measure of angle ∠JML is 85°. ∠JMK = 6x + 2 and ∠KML = 4x + 3.
We know that the sum of the angles ∠JMK and ∠KML is equal to the angle ∠JML. Then we have
∠JMK + ∠KML = ∠JML
6x + 2 + 4x + 3 = 85°
10x = 80°
x = 8°
Then the angles will be
∠JMK = 6 × 8 + 2
∠JMK = 48 + 2
∠JMK = 50°
∠KML = 4 × 8 + 3
∠KML = 32 + 3
∠KML = 35°
The measure of the angles ∠JMK and ∠KML will be 50° and 35°, respectively.
Then the correct options are C and D.
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Samra's guardians invested money for her into a 529 College Savings Plan, which compounds annually. The growth of the savings plan per year, x, can be represented by the exponential function f(x) = 500(1.03)x. What is the meaning of the y-intercept in the context of the problem?
The percent rate of change is 500%.
The initial value of the investment is $500.
The principal amount put into the savings plan is $1.03.
The average rate of change that is occurring is 1.03.
The y-intercept of the given exponential function would be represents the initial value of the investment is $500 which is the correct option (B).
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
It is a relation of the form y = aˣ in mathematics, where x is the independent variable
The given exponential function f(x) = 500(1.03)ˣ
Here x would be represented growth of the savings plan per year
To determine the y-intercept of the function
We have to substitute the value of x = 0 in the given function,
⇒ f(x) = 500(1.03)⁰
⇒ f(x) = 500(1)
⇒ f(x) = 500
Therefore, the y-intercept of the given exponential function would be represents the initial value of the investment is $500.
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The sum of three consecutive even integers (3 integers in a row) is 120.
Use the following setup and given equation to find your solution:
1st integer = x
2nd integer = x+2
3rd integer = x+4
Equation: x+(x+2)+(x+4)=120
Solve the equation above. What is the largest of the three integers?
Answer:
42
Step-by-step explanation:
x + x + 2 + x + 4 = 120
3x + 6 = 120
3x = 114
x = 114/3
x = 38
38, 40, 42
The three integers are 38, 40, and 42.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Given that the sum of three consecutive even integers (3 integers in a row) is 120. The value of integers will be calculated as below:-
x + x + 2 + x + 4 = 120
3x + 6 = 120
3x = 114
x = 114/3
x = 38
1st integer = x = 38
2nd integer = x+2 = 38 + 2 = 40
3rd integer = x+4 = 38 + 4 = 42
Therefore, the three integers are 38, 40, and 42.
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PLEASE HELP!! STUCK ON THIS! Do you think the amount of water wasted by the leaky faucet over the course of 1 day is closer to the estimate of 1 cup, 1 gallon, or 1 shower? Explain your reasoning.
Screen Shot 2022-
I think the amount of water wasted will be closer to a __________ measure because:
Answer: I would say 1 gallon
Step-by-step explanation: 1 gallon because 1 gallon would be closer then a shower or a cup
A box of 8 crayons costs $0.96. How much does each crayon cost? At the unit price, how much would a box of 30 crayons cost.
Answer:
the price of 30 crayons is 3.6$.
Step-by-step explanation:
Given that
price of 8 crayons is 0.96$
so the price of 1 crayon is
0.96÷8=0.12$
now we have to find the cost of 30
crayons
we know that price of 1 crayon is 0.12$
so the price of 30 crayons is
0.12$×30= 3.6$.
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Answer:Given the cost of a box of 8 crayons, the cost of each crayon is 0.12. a box containing 30 cryaons will cost 3.6
Step-by-step explanation: Given that ,
box of 8 crayons cost=0.96 cost of each crayon=? cost of each 30 crayon box=? first, we determine the cost of abox with 30 crayons . 8 crayons cost 0.96. 1crayon cost x. x=0.96÷8=0.12 Next we determine the cost of abox with 30 crayons . 1 cryaon cost 0.12 30 crayons cost y y=30×0.12 y=3.6
If 14 people are to be divided into 4 committees of respective sizes 2, 3, 4, and 5, how many divisions are possible?
The final answer is 24,024
In the given statement is :
If 14 people are to be divided into 4 committees of respective sizes 2, 3, 4, and 5
To find the how many divisions are possible
Let us understand the:
What do you mean by Permutation?
A Permutation is an act of arranging the objects or number in order.
Formula of Permutation :
The formula for Permutations is : n P r = n! / (n - r)!
n p r = n! /(n-r)!
14 P 4 = 14 ! / (14-4)!
= 14 × 13 × 12 × 11 x 10! / 10!
= 14 × 13 × 12 × 11
= 24,024
Hence, The answer is 254,024
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A bag contains 25 balls 20 of which are blue what percentage of balls are not blue
Answer:
20%
Step-by-step explanation:
20/25 = blue
This means 5/25 of the balls in the bag are NOT blue
(25-20 = 5)
We need to convert 5/25 to a percentage
[tex]\dfrac{5}{25} = \dfrac{5\times4}{25\times4}=\dfrac{20}{100}[/tex]
% = per cent
"per" means "out of"
"cent" means "one hundred"
so
20/100 = 20%
On the following number line, what number would you plot at point C?
A
+++
6
06.038
6.408
6.82
6.983
6.1
6.2 6.3
B
++++
6.4 6.5 6.6
6.7
C
D
++++
6.9
7
6.8
The correct option is 6.82; the value of C on the number line is 6.82.
How do you defines the number line?A number line is a straight line to numbers positioned at equal intervals or sections along its length in mathematics.
A number line can be stretched in any direction indefinitely and is typically represented horizontally.The numbers here on number line rise as one moves left to right and fall as one moves right to left.A number line can be employed to depict both negative and positive integers.Creating numbers on the a number line facilitates number comparison. The numbers on the left of the number line have been smaller than numbers on the right.For, the given number line in the question;
As, the point C is situated between the points 6.8 and 6.9; thus the value of point C must lie in between these two values.
Thus, the only option which shows this condition is 6.82.
Therefore, the value point C on the number line is 6.82.
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which of the following is equivalent to 5x-x+3x=30
In linear equation , 7x=30 is equivalent to 5x-x+3x=30.
What in mathematics is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.5x -x + 3x =30, first you combine like terms 5x + 3x-x=30
8x-x =30
7x=30
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systems of liner equations in three variables using substitution method
2x + y + 3z = -2
x - y - z = -3
3x - 2y + 3z = -12
Above given the the linear equations. Systems of liner equations in three variables using substitution method, the variables are (-3.2, -0.218, 0.06).
What do you mean by linear equation?The standard form for the linear equations in two variables is Ax+ By =C. For example, 2x+3y=5 is a linear equation in the standard form. When an equation is given in this form, it's pretty easy to find the both intercepts (x and y). This form is also very useful when solving systems of the two linear equations.
Solve one of the equation for one of it's variables. From the given three variables, there is no incorrect choice so choose to solve for any variable.
x= y+ z -3
Substitute the value from the first variable we solved for into the other equation and solve for the next variable.
(y+z-3) +y +3z = -2
2y+4z= 1
y= [tex]\frac{1+4z}{2}[/tex]
Substitute the value from the two variables that we solved and plug it into the remaining equation and solve for the last remaining variable.
3([tex]\frac{1+4z}{2}[/tex]+z-3) - 2 ([tex]\frac{1+4z}{2}[/tex]) + 3z= -12
3([tex]\frac{1+4z+2z-6}{2}[/tex])- 2([tex]\frac{1+4z}{2}[/tex])+ 3z= -12
3([tex]\frac{6z-5}{2}[/tex])- 2([tex]\frac{1+4z}{2}[/tex])+3z = -12
[tex]\frac{18z-15}{2}[/tex]- 1+ 4z+ 3z= -12
18z-15-2+8z +6z= -24
32z-17=-24
32z=-24+17
z=[tex]\frac{-7}{32}[/tex]= -0.218
therefore, y= 0.06
Now substitute the values:
x= 0.06+(-0.218)-3= -3.2
The three variables are (-3.2, -0.218, 0.06)
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Use the distributive property to remove the parentheses.
(−6+3u+3w)(−8)
X
Ś
Answer:
you should use words that can help some people can,t under stand so this is what
Write this fraction in simplest form
3/x-4 + 2/2x+5
Sara and her mom are planning to attend the symphony. An adult ticket is $54. The price of an adult ticket is 1/4 the price of a student ticket plus $25. Write an equation to determine how much Sara will pay for a student ticket.
The equation that represents the price of a student ticket will be 54 = x/4 + 25. Sara's spend for a student ticket will be $116.
What is the solution to the equation?The allocation of values to the parameters that produce the calculation's balance is known as an outcome.
Sara and her mom are planning to attend the symphony. An adult ticket is $54. A ticket for 1/4 an adult costs $25 more than it would be for a student.
Let x be the amount of pay for student's tickets. Then the equation will be
54 = x / 4 + 25
Simplify the equation, then we have
x / 4 = 54 - 25
x / 4 = 29
x = $116
The equation that represents the price of a student ticket will be 54 = x/4 + 25. Sara pays for a student ticket will be $116.
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The metric designators and trade sizes are for identification purposes only and are not actual dimensions, as pointed out in the note to nec ? .
The metric designators and trade sizes are for identification purposes only and are not actual dimensions, as pointed out in the note in table 300.1(C).
What are identification purposes?For identification purposes, an acceptable ID MUST be issued by a Federal, State, County, or Municipal entity. For identification purposes, the single document must include the following criteria: photo, name, address (home/employer), date of birth, and be issued by a Federal, State, County, or Municipal entity.[Refer The table 300.1(C) below.]
Therefore, the metric designators and trade sizes are for identification purposes only and are not actual dimensions, as pointed out in the note in table 300.1(C).
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The correct question is given below:
The metric designators and trade sizes are for identification purposes only and are not actual dimensions as pointed out in the note to Table?
A community center sells a total of 297 tickets for a basketball game. An adult ticket costs $3. A student ticket costs $1. The sponsors collect $ 487 in ticket sales. Find the number of each type of ticket sold.
Graph the inequality on a number line c[tex]\leq[/tex]-36 and
The inequality 20 ≥- 3.2(c - 4.3) can be represented as c ≥ -1.95
How to graph the inequality on a number line?The inequality is given as:
20 ≥- 3.2(c - 4.3)
Divide both sides of the inequality by -3.2
So, we have:
20/-3.2 ≥ -3.2(c - 4.3)/-3.2
Evaluate the quotient
-6.25 ≤ (c - 4.3)
Remove the bracket in the above inequality
So, we have:
-6.25 ≤ c - 4.3
Rewrite the above inequality as
c - 4.3 ≥ -6.25
Add 4.3 to both sides of the inequality
c ≥ -1.95
This means that the inequality 20 ≥- 3.2(c - 4.3) can be represented as c ≥ -1.95
See attachment for the graph of the inequality
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2. Given the plane DGF in the diagram, which points are collinear?
1. G, E, and F
2. D, E, and F
3. H, G, and D
4. G, D, and E
Answer:
2. D, E, and F
Step-by-step explanation:
Points lie on the same straight line also called euclidean geometry.
need a decent explanation thanks!
from what I read, the roads look like the picture below.
first off, we'd want to know the distance in "red", well, using the pythagorean theorem, that'd be √(127² + 47² ), which gives us around 135.4 miles.
now, the larger triangle containing the "red" line and the smaller triangle on the left-side containing the "green" line, are similar triangles by AA, so we can use proportions to get the distance from Appletown to "park and ride", because that is the distance that Irving is going to be covering at 45 mph, so that'd be like
[tex]\cfrac{135.4}{127}~~ \approx ~~\cfrac{\textit{park and ride}}{94}\implies \cfrac{135.4\times 94}{127}\approx\textit{park and ride}\implies 100.2\approx\stackrel{park~\&}{ride}[/tex]
now, we know that Irving is going to be covering that distance at 45 mph, so
[tex]\begin{array}{ccll} miles&hour\\ \cline{1-2} 45&1\\ 100.2&h \end{array}\implies \cfrac{45}{100}\approx\cfrac{1}{h}\implies h\approx\cfrac{100}{45}\implies h\approx 2.22[/tex]
without boring you to death, that's about 2 hours and 13 minutes.
well, that means Irving, taking off at 8am, is going to arrive at "park and ride" at 10:13am roughly.
now, we know Carol is taking off at 9am, an hour later than Irving, and she'll be traveling the "green" distance up to the junction, well, we know her distance is 42 miles plus some change, let's use proportions to get the change.
[tex]\cfrac{47}{127}=\cfrac{change}{94}\implies \cfrac{47\cdot 94}{127}=change\implies 34.8\approx change[/tex]
so for Carol to get to "park and ride" she'll be covering about 42 + 34.8 miles, and she needs to get there by 10:13am, that is, 1.22 of an hour later so she can get there at the same time Irving does.
so she needs to cover roughly 76.8 miles in 1.22 hours, let's do the fraction for that in miles over hours.
[tex]\cfrac{76.8~miles}{1.22~hour} ~~ \approx ~~ 62.95[/tex] due to rounding we get 0.95, but should be 0.94 if we adjust the rounding, but roughly [tex]\cfrac{76.8~miles}{1.22~hour} ~~ \approx ~~ 62.95~\frac{miles}{hour}[/tex]
Mrs gerry used the following square to teach her class about quarters. the squares is divided into four equal parts.the class disagreed with their teacher that each part represents a quarters.name the misconception of the class and correct the misconception
Consider a square and divide it into four equal parts. Each part of the square is called as a quarter.
A quarter of a square is one out of four of its equal parts . In a square there are four quarters or four fourths in a whole.
From the figure, the shaded portion represents one quarter of the square i.e., [tex]\frac{1}{4} th[/tex] of a square.
#14: m∠EFD = ____°
need answer
The value of ∠EFD is 107 ° as this angle is part of a linear pair .
When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°.
Given the two angles are ∠EFD and ∠DFG .
Now as they are on a straight line they form a linear pair .
As a part of a linear pair their sum add up to 180°.
Now substituting the given values :
11x - 3 + 6x + 13 = 180
or, 17 x + 10 =180
or, 17 x = 170
or, x = 10
Therefore the value of the ∠EFD is given as 11x - 3 = 110 - 3 = 107° .
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Help please i do not understand................
Answer:
x = 5
Step-by-step explanation:
All the angles of a triangle add up to 180
83 + 61 + 4x + 16 = 180
160 + 4x = 180
180 - 160 = 4x
20 = 4x
20/4 = x
5 = x
T / 23 equals -9 solve for t
Answer:
-207
Step-by-step explanation:
t/23 = -9
Multiply both sides by 23 to cancel out the denominator.
23 * (t/23) = (-9) * 23
t = -207
Use f(x) = 12x and f -1(x) = 2x to solve the problems.
f(2) =
f−1(1) =
f−1(f(2)) =
steve can paint his greenhouse in four hours working alone; his ten-year-old son can paint the greenhouse alone in nine hours. working together, how long, to the nearest minute, would it take them?
Working together will take them 2 hours and 46 minutes which is 166 minutes.
What do we mean by equation?A mathematical statement made up of two phrases joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.So,
Consider these work rates in terms of "greenhouses per hour," rather than "hours per greenhouse." Steve's work rate is one-fourth of a greenhouse per hour, while his son is one-ninth of a greenhouse per hour. Now, multiply each rate by the time t to obtain the percentage of the greenhouse that each paints, and add the products to obtain one greenhouse.The work equation is now:
[tex]\begin{aligned}&\frac{1}{4} t+\frac{1}{9} t=1 \\&\frac{9}{36} t+\frac{4}{36} t=1 \\&\frac{13}{36} t=1\end{aligned}\\\frac{36}{13} \cdot \frac{13}{36} t=\frac{36}{13} \cdot 1\\t=\frac{36}{13} \mathrm{hrs}\\\frac{36}{13} \cdot 60 \approx 166 \min[/tex]
Therefore, working together will take them 2 hours and 46 minutes which is 166 minutes.
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Find the indicated measure(part 3)
I will give brainliest to the right answer with solution
Answer:
VU = 120° , WX = 100°
Step-by-step explanation:
(7)
An inscribed angle is half the measure of its intercepted arc , or
the intercepted arc is twice its inscribed angle, then
arc TV = 2 × 30° = 60°
the diameter is TU then arc TU = 180°
the sum of the arcs in the circle = 360° , so
VU + TV + TU = 360°
VU + 60° + 180° = 360°
VU + 240° = 360° ( subtract 240° from both sides )
VU = 120°
(8)
WY = 2 × 75° = 150°
WX + WY + YX = 360°
WX + 150° + 110° = 360°
WX + 260° = 360° ( subtract 260° from both sides )
WX = 100°
What is the quotient of three and two thirds divided by 3 fifths?
quotient = the answer to a division problem
ex. 6/3 = 2The quotient of 6 and 3 is 2.To divide by a fraction, multiply by the reciprocal of the fraction
reciprocal of a fraction = the numerator and denominator are reversed
Solving the QuestionFirst, convert "three and two thirds" into an improper fraction:
[tex]3\dfrac{2}{3}[/tex]
⇒ Multiply the whole number by the denominator and add the numerator:
[tex]\dfrac{11}{3}[/tex]
Now, we want to divide this number by three fifths:
[tex]\dfrac{11}{3}\div\dfrac{3}{5}[/tex]
⇒ Dividing by a fraction is the same as multiplying by its reciprocal:
[tex]= \dfrac{11}{3}\times\dfrac{5}{3}\\\\=\dfrac{55}{9}[/tex]
Answer[tex]\dfrac{55}{9}[/tex]
theannswer wold be 100 .33 .87
What multiplicity would you expect in a 1h nmr spectrum for the indicated proton(s)?
a. doublet
b. triplet
c. singlet
d. quintet
e. quartet
The multiplicity that would be in a 1H NMR spectrum for the indicated proton(s) is triplet.
The correct answer is an option (b)
NMR spectroscopy is used to examine the structure of molecules.
Another type of additional data available from 1H NMR spectroscopy is called multiplicity.
It is useful because it reveals how many hydrogens are on the next carbon in the structure.
1H NMR is a technique to confirm the structure of organic compounds or those that contain protons.
In 1H NMR technique, multiplicity provides information about the number of proton neighbors for a particular proton atom or group of atoms (neighboring typically refers to atoms within 3 bonds).
A solution-state proton spectrum is relatively fast to acquire, compared with other nuclei, and a lot of information about the structure of a compound can be deduced from it.
Therefore, the multiplicity that would be in a 1H NMR spectrum for the indicated proton(s) is triplet.
The correct answer is an option (b)
