Answer:
5/4
Step-by-step explanation:
Use the slope formula
Answer:
9.43398
Step-by-step explanation:
The formula is square root of (x2-x1)^2 + (y2-y1)^2.
So if you plug in the equation, it is 9.43398.
Hannah walks dogs for four different families. She charges each family the same amount of money per hour. The numbers of hours she worked last week walking dogs for each of the families are shown. 1 1/4 hours, 2 1/6 hours, 1 1/3 hours, 3 hours. Hannah earned $93 for the hours she worked last week walking dogs. Calculate the amount of money Hannah earns per hour for walking dog. Write an equation that can be used to determine the amount of money, m, in dollars, Hannah earns when we works H hours walking dogs. Show your work or explain your answer
Answer:1 1/4+2 1/6+1 1/3+3=12.916_
12.916/93=.13888172 dollars an hour.
.13888172(h)=m
Step-by-step explanation:i converted to decimals but its still the same
Hannah worked for a total of 7 11/12 hours and earned $93. She charges approximately $12 per hour, so the equation for the amount she earns is m = 12H.
Explanation:To find out how much Hannah charges per hour, we first need to find the total number of hours she worked. Adding up the hours given, Hannah worked 1 1/4 + 2 1/6 + 1 1/3 + 3 hours = 7 11/12 hours. Since Hannah earned $93 for these hours, we can set up the equation, m = 93 / (7 11/12), where m represents the money Hannah earns per hour, and H represents the total number of hours Hannah worked. Upon solving this equation, we find that Hannah charges approximately $12 per hour.
Therefore, the equation that can be used to determine the money Hannah earns from walking the dogs is m = 12H.
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Using the formula C = 2πr, find the circumference of a circle with diameter of 28 inches. Round your answer to the nearest inch.
Answer:
88 inches
Step-by-step explanation:
Diameter is 2 times the radius (r) so divided 28 by 2 to get 14 as the radius.
Plug this in:
2π14
28π
87.964
88
The answer is 88 btw
which expression has 8 and n as factors
8n
8-n
8+n
8÷n
Answer:
8n
Step-by-step explanation:
8 and n are factors of the product 8·n.
A correct option is option (a).
Factor:The functions factor is used to encode a vector as a factor (the terms ‘category’ and ‘enumerated type’ are also used for factors). If the argument ordered is TRUE, the factor levels are assumed to be ordered. For compatibility with S, there is also a function ordered.
The factor of [tex]8n[/tex] is,
[tex]8\times n[/tex]
We cannot find the factor [tex]8-n[/tex] and [tex]8+n[/tex]
And the factor of [tex]\frac{8}{n}[/tex] is [tex]\frac{8}{n} =8\times \frac{1}{n}[/tex]
Learn more about the topic factor:
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What is the equation of a line, in general form, with a slope of -2 and a y-intercept of 8?
A.x + 2y - 8 = 0
B.2x + y - 8 = 0
C.2x - y + 8 = 0
Answer:
B. 2x + y -8 = 0
Step-by-step explanation:
2x + y -8 = 0
2x - 8 = -y
Divide both sides by negative one
-2x + 8 = y
Answer:
B. 2x + y - 8 = 0Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the slope m = -2 and the y-intercept b = 8. Substitute:
[tex]y=-2x+8[/tex]
The general form of an equation of a line:
[tex]Ax+By+C=0[/tex]
Convert:
[tex]y=-2x+8[/tex] add 2x to both sides
[tex]2x+y=8[/tex] subtract 8 from both sides
[tex]2x+y-8=0[/tex]
How are the functions f(x) = 16* and g(x) = 16 2 * related?
O The output values of g(x) are one-half the output values of f(x) for the same value
O The output values of g(x) are one-quarter the output values of f(x) for the same va
The output values of g(x) are the square root of the output values of f(x) for the sa
The output values of g(x) are the square of the output values of f(x) for the same va
It’s c
Step-by-step explanation:
I did it
Answer:
It's C
Step-by-step explanation:
So I went to Brainly to get answers too but I couldn't find any. I guessed and got it right on edge2022
Which shows the equation of the line containing the point (4, 6) and having a slope of 4 in slope-intercept form?
I guess it’s the second one because only in the second the x value is giving the respective y value
Evaluate (f − g)(2) for f(x) = 2x2 − 18 and g(x) = –3x − 7.
For this case we have the following functions:
[tex]f (x) = 2x ^ 2-18\\g (x) = - 3x-7[/tex]
We must find:
[tex](f-g) (2)[/tex]
By definition, we have to:
[tex](f-g) (x) = f (x) -g (x)[/tex]
So:
[tex](f-g) (x) = 2x ^ 2-18 - (- 3x-7)\\(f-g) (x) = 2x ^ 2-18 + 3x + 7\\(f-g) (x) = 2x ^ 2 + 3x-11[/tex]
Then, we evaluate in x = 2:
[tex](f-g) (2) = 2 (2) ^ 2 + 3 (2) -11\\(f-g) (2) = 2 (4) + 6-11\\(f-g) (2) = 8 + 6-11\\(f-g) (2) = 8 + 6-11\\(f-g) (2) = 3[/tex]
ANswer:
[tex](f-g) (2) = 3[/tex]
Find the exact circumference of a circle with an approximate area of 78.5 square feet.
Answer:
31.41ft
Step-by-step explanation:
the area A of a circle is πr² = 78.5 square feet
3.1416* r² = 78.5
r² =78.5/3.1416 = 24.987
r = √24.987 = 4.999ft
the circumference C of a circle is 2πr
C = 2* 3.1416 * 4.999 = 31.41ft
which are the correct reprsentives of the inequality -3(2x-5)<5(2-x)check all that apply x<5
Answer:
x > 5Step-by-step explanation:
[tex]-3(2x-5)<5(2-x)\qquad\text{use the distributive property}\\\\(-3)(2x)+(-3)(-5)<(5)(2)+(5)(-x)\\\\-6x+15<10-5x\qquad\text{subtract 15 from both sides}\\\\-6x<-5-5x\qquad\text{add 5x to both sides}\\\\-x<-5\qquad\text{change the signs}\\\\x>5[/tex]
This system of equations has an infinite number of solutions. Define the solutions algebraically, and allow z to represent all real numbers.
3x − 4y + 4z = 7
x − y − 2z = 2
2x − 3y + 6z = 5
x =
y =
z = all real numbers
Answer:
x = 12z + 1 and y = 10z - 1
Step-by-step explanation:
To solve the system of equations, we can use the substitution method
If we call
3x - 4y + 4z = 7 I
x - y - 2z = 2 II
2x - 3y + 6z = 5 III
Clearing II x = 2 + y + 2z
Now, replacing II in III
2(2 + y + 2z) - 3y +6z = 5
4 + 2y + 4z - 3y + 6z = 5
10z - y = 1 from here y = 10z - 1
Finally, replacing y in I
3x - 4(10z - 1) + 4z = 7
3x -40z + 4 + 4z = 7
3x - 36z = 3
3x = 36z + 3
x = 12z + 1
Done
The critical pressure of carbon dioxide is 72.7 atm what is this value in units of pascals?
Answer:
7,366,327.50 pascals
Step-by-step explanation:
we know that
1 atm= 101,325 pascals
we have
72.7 am
Convert to pascals
72.7 atm=72.7*101,325=7,366,327.50 pascals
a cylinder-shaped water tank is 160 cm tall and measures 87.92 cm around. what is the volume if the water tank? enter your answer as a decimal in the box. use 3.14 for pi.
Answer:
The volume is equal to [tex]98,470.4\ cm^{3}[/tex]
Step-by-step explanation:
step 1
Find the radius of the base of cylinder
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]C=87.92\ cm[/tex]
assume
[tex]\pi =3.14[/tex]
substitute and solve for r
[tex]87.92=2(3.14)r[/tex]
[tex]r=87.92/[2(3.14)]=14\ cm[/tex]
step 2
Find the volume of the water tank (cylinder)
The volume is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]r=14\ cm[/tex]
[tex]h=160\ cm[/tex]
assume
[tex]\pi =3.14[/tex]
substitute
[tex]V=(3.14)(14)^{2} (160)[/tex]
[tex]V=98,470.4\ cm^{3}[/tex]
Answer:
The answer is 98470.4
Step-by-step explanation:
Explain 3 different ways
And explain
Answer:
5^2 * 5^9
5^3 * 5^8
5^4 * 5^7
Step-by-step explanation:
The easiest way to approach this problem is to first express 5^(11) in its simplest form:
5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5
Then you can regroup them as you want, to still express the same value, but shown as a product of different numbers, including:
(5) * (5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5) = 5 * 5^(10)
(5 * 5) * (5 * 5 * 5 * 5 * 5 * 5 * 5 * 5 * 5) = 5^2 * 5^9
(5 * 5 * 5) * (5 * 5 * 5 * 5 * 5 * 5 * 5 * 5) = 5^3 * 5^8
(5 * 5 * 5 * 5) * (5 * 5 * 5 * 5 * 5 * 5 * 5) = 5^4 * 5^7
And so on....
which expression is equivalent to 5x+5x?
A. 25x
B. 10+2x
C. 25x^2
D. 10x
Explanation:
5x+5x=10x
Answer is 10x( D).
The expression (5x + 5x) is equivalent to....
10x
The answer would be D
Hope this helps!
URGENT!!!!!!!!!
A bird drops a stick to the ground from a height of 80 ft. The function h = -16t^2 = 80 gives the stick's approximate height h above the ground, in feet, after t seconds. Graph the function. At about what time does the stick hit the ground?
Please show all the work and steps and if you cant graph the function the can you please give the points and I will graph it then
Answer:
1:7 2:9
Step-by-step explanation:
Convert 27/40 to a decimal using long division.
Answer:
Step-by-step explanation:
\frac{27}{40} in a decimal is 0.675
I’ve attached a picture of my work!!
R is the midpoint of segment PS. Q is the midpoint of segment RS. P is located at (8,10), and S is located at (12,-6). what are the coordinates of Q?
a) (4,2)
b) (2,-8)
c) (11,-2)
d) (10,2)
please help
Answer: c) (11,-2)
Step-by-step explanation:
The formula for calculate a midpoint is:
[tex]M=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
You know that R is the midpoint of segment PS and P is located at (8,10), and S is located at (12,-6). Then you can substitute these coordinates into the formula to find the coordinates of the midpoint R:
[tex]M_{R}=(\frac{12+8}{2}, \frac{10+(-6)}{2})=(10,2)[/tex]
Now, knowing the coordinates of R and S, you can substitute them into the formula to find the coordinates of the midpoint Q of segment RS. Then:
[tex]M_{Q}=(\frac{10+12}{2}, \frac{2+(-6)}{2})=(11,-2)[/tex]
The option c is correct. The final coordinates of Q are (11, -2).
To find the coordinates of Q, we need to follow a step-by-step process, starting from the given points of P and S.
Step 1: Find the coordinates of R
R is the midpoint of segment PS. Given P(8,10) and S(12,-6), the midpoint formula is:
Midpoint formula: ((x1 + x2)/2, (y1 + y2)/2)
So, [tex]R = ((8 + 12)\div2, (10 + (-6))\div2) = (20\div2, 4\div2) = (10, 2)[/tex]
Step 2: Find the coordinates of Q
Q is the midpoint of segment RS. Given R(10,2) and S(12,-6), we apply the midpoint formula again:
[tex]Q = ((10 + 12)\div2, (2 + (-6))\div2) = (22\div2, -4\div2) = (11, -2)[/tex]
Final Coordinates:
Thus, the coordinates of Q are (11, -2). The correct answer is: (c) (11,-2)
What is the value of x in the trangle? Enter your answer in the box. Round your final answer to the nearest hundredth.
Use trigonometry.
cos(18°) = x/25
Multiply both sides by 25.
cos(18°)25 = x
23.7764129074 = x
We round off to the nearest hundredth. This means to round off to two decimal places.
Doing so, we get 23,78 cm = x.
Help me please i have been on this problem for a while and my teachers aren't really helping!
Answer:
106 m²
Step-by-step explanation:
Imagine this shape was a square, it's area would be 120 m².
Now imagine the little rectangle with 7 m as the side, you will have to work out the area of that so
Side = 7
4 + 4 + ? = 10
8 + ? = 10
? = 2
So the area of the little rectangle is 14 m²
Now we minus both of the areas : 120 - 14 = 106
Sammy likes to mix and match her 4 necklaces, 2 bracelets, and 3 hats. The colors are listed in the table. On monday, she randomly picks a bracelet, a necklace, and a hat. What is the probability of sammy choosing a red necklace and yellow bracelet?
URGENT BRAINLIEST
Answer:
[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
In calculating probability, remember that "AND" means "MULTIPLICATION" and "OR" means "ADDITION".
Since we want the probability of red necklace AND yellow bracelet, we calculate individual probabilities and "MULTIPLY" them.
Probability of red necklace:
There are 4 necklaces and 1 of them is red, hence probability of red necklace is 1/4
Probability of Yellow bracelet:
There are 2 bracelet and 1 of them is yellow, hence probability of yellow bracelet is 1/2
Now, we multiply both to get our answer.
1/4 * 1/2 = 1/8
Answer:
1/8
Step-by-step explanation:
The graphs of f(x) and g(x) are shown below:
graph of function f of x open upward and has its vertex at negative 7, 0. Graph of function g of x opens upward and has its vertex at negative 5, 0.
If f(x) = (x + 7)2, which of the following is g(x) based on the translation?
g(x) = (x + 9)2
g(x) = (x + 5)2
g(x) = (x − 9)2
g(x) = (x − 5)2
the translation should make the equation
g(x)= (x+5)2
Answer:
b
Step-by-step explanation:
If angle 5 measures 150 degrees, what is the measure of angle 8?
Answer: 150 degrees
Reason: Vertically opposite angles are similar
(When two straight lines form an X when crossing over one another, an angle and the angle on the opposite side of the X are the same)
The measure of angle 8 is 150 degrees.
What are opposite angles?Opposite angles are angles that are found opposite each other. They are formed when two lines intersect. The value of a pair of opposite angles is equal.
The value of the angle can be found as shown below:It is given that angle 5 is equal to 150 degrees.
The image is also provided.
We can see that angles 5 and 8 are opposite angles.
We know that opposite angles have equal measures.
This means that the measure of angle 8 is the same as angle 5.
The measure of angle 5 is 150 degrees. Therefore, the measure of angle 8 is also 150 degrees.
We have found that the measure of angle 8 is the same as angle 5 which is 150 degrees since they are opposite angles.
Therefore, we have found that the measure of angle 8 is 150 degrees.
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help
B= °
b=
c=
it has something to do with sin cos or tan I'm not sure
Answer:
Actually it does relate to sin, cos and tan.
* tan50° = 16/b
=> b = 16/tan50° ≈ 13.426
* sin50° = 16/c
=> c = 16/sin50° ≈ 20.887
*cos∠B = 16/c = 16/20.887
=> m∠B ≈ 40.002
Given the the table of values below which of the following ordered pairs are found on the graph of the inverse function?
Answer:
C
Step-by-step explanation:
From the table we see that
[tex]f(-2)=12\\ \\f(-1)=10\\ \\f(0)=8\\ \\f(1)=6\\ \\f(2)=4[/tex]
Thus, the inverse function has the rule
[tex]f^{-1}(12)=-2\\ \\f^{-1}(10)=-1\\ \\f^{-1}(8)=0\\ \\f^{-1}(6)=1\\ \\f^{-1}(4)=2[/tex]
This gives us that ordered pairs
[tex](12,-2),\ (10,-1),\ (8,0),\ (6,1),\ (4,2)[/tex]
are on the graph of the inverse function
Answer:
it is c
Step-by-step explanation:
yep
Please answer these 2 questions. I promise to mark as brainliest if you can solve with steps. Thank you.
Answer:
see explanation
Step-by-step explanation:
4
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{BC}{EF}[/tex] = [tex]\frac{AB}{DE}[/tex] ( substitute in values )
[tex]\frac{x-1}{18}[/tex] = [tex]\frac{4}{12}[/tex] ( cross- multiply )
12(x - 1) = 72 ( divide both sides by 12 )
x - 1 = 6 ( add 1 to both sides )
x = 7
------------------------------------------------------------------------------
5
The parallel line segment SV is half of RW
that is x = 7.5
SV also divides the sides RT and WT in proportion, that is
[tex]\frac{10}{3}[/tex] = [tex]\frac{8}{y}[/tex] ( cross- multiply )
10y = 24 ( divide both sides by 10 )
y = 2.4
Marcy is making a hooked circle-shaped rug for her mother. The circumference of the circle-shaped rug is 56.52 inches.
What is the area of the rug? Use = 3.14.
Answer:
The area is
[tex]A=254.34\ in^2[/tex]
Step-by-step explanation:
The circumference of a circle is given by a following formula:
[tex]C = 2\pi r[/tex]
Where r is the radius of the circumference.
In this case we know that
[tex]C = 2\pi r=56.52\ in[/tex]
We solve the equation for r
[tex]C = 2\pi r=56.52\ in[/tex]
[tex]2\pi r=56.52\\\\r=\frac{56.52}{2\pi}\\\\r=9\ in[/tex]
The area of a circumference is given by the following formula
[tex]A=\pi r^2[/tex]
Now we substitute the value of r in the equation to find the area
[tex]A=\pi (9)^2[/tex]
[tex]A=3.14* (9)^2[/tex]
[tex]A=254.34\ in^2[/tex]
6 more than 3 times what number squares is 81
Jeremys father is 11 less than jermeys age squared.if Jeremy’s father is 53, how many years older is Jeremy’s father than Jeremy?
Answer:
45 years
Step-by-step explanation:
First, lets break the problem down, step-by-step.
Jeremy's age can be represented using the varibale, j.
His father's age is 53, or 11 less than j squared.
Jeremy's father's age can be represented using the following equation:
j^2 - 11 = 53
Now, solve for j.
j^2 - 11 = 53
j^2 = 64
j = 8
That means Jeremy is 8 years old. Now, find the difference between his age and his father's age.
53 - 8 = 45.
So, Jeremy's father is 45 years older than his son.
I hope this helps! :)
To find how many years older Jeremy’s father is than Jeremy, we determined that Jeremy is 8 years old and his father is 45 years older than him. We did this by solving the equation derived from the problem statement. Thus, Jeremy's father is 45 years older than Jeremy.
To solve the problem, let's denote Jeremy's age by x. According to the problem, Jeremy’s father’s age is 11 less than Jeremy’s age squared. The given information states that Jeremy’s father is 53 years old.
We can write this as an equation:
[tex]x^2 - 11 = 53[/tex]
[tex]x^2 = 53 + 11[/tex]
[tex]x^2 = 64[/tex]
Taking the square root of both sides, we get:
x = 8
So, Jeremy is 8 years old. Now, to determine how many years older Jeremy’s father is than Jeremy:
53 (father's age) - 8 (Jeremy's age) = 45
Thus, Jeremy’s father is 45 years older than Jeremy.
A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y=-0.04x^2+9.1x+11.9, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. How far horizontally from it’s starting point will the rocket land?
Answer:
228.8 meters
Step-by-step explanation:
y = -0.04 x² + 9.1 x + 11.9
When the rocket lands, y = 0:
0 = -0.04 x² + 9.1 x + 11.9
Solving for x, start by multiplying by -1:
0 = 0.04 x² - 9.1 x - 11.9
Multiply by 100:
0 = 4x² - 910 x - 1190
Solve with quadratic formula:
x = [ -b ± √(b² - 4ac) ] / 2a
x = [ 910 ± √((-910)² - 4(4)(-1190)) ] / 2(4)
x = [ 910 ± √(847140) ] / 8
x ≈ -1.3, 228.8
Since x can't be negative, x = 228.8 meters.
Answer:
The rocket will land at 208.02 m. Hence, if you are on the same connexus assignment, your answer will be A.
Hope this helps! :D
Given the function f(x) = 4(2)x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.
Part A: Find the average rate of change of each section. (4 points)
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)
Answer:
Step-by-step explanation:
I'm sure you want your functions to appear as perfectly formed as possible so that others can help you. f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation: f(x) = 4(2)^x
f(b) - f(a)
The formula for "average rate of change" is a.r.c. = --------------
b - a
change in function value
This is equivalent to ---------------------------------------
change in x value
For Section A: x changes from 1 to 2 and the function changes from 4(2)^1 to 4(2)^2: 8 to 16. Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2. Thus, in this Section, the a.r.c. is:
8
------ = 8 units (Section A)
1
Section B: x changes from 3 to 4, a net change of 1 unit: f(x) changes from
4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units. Thus, the a.r.c. is
224 units
----------------- = 224 units (Section B)
1 unit
The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.
This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").
Answer:
Part A: Section A- 8, Section B- 32.
Part B: 4 times.
Step-by-step explanation:
The function is given by .
Section A is from x = 1 to x = 2.
Now, f(1) = 4 × 2 = 8 and f(2) = 4 × 2 × 2 = 16
Again, section B is from x = 3 to x = 4.
Now, f(3) = 4 × 2 × 2 × 2 = 32 and f(4) = 4 × 2 × 2 × 2 × 2 = 64
Part A:
In section A, the average rate of change is = 8
And in section B, the average rate of change is = 32
Part B:
Therefore, the average rate of change of section B is greater than section A is (32 / 8 = 4)