Answer:
Step-by-step explanation:
We need to explain the transformations applied to 1/x to get f(x). We get f by following the following steps.
1. Multiply 1/x by 200 to get the function 200/x. This represents taking the graph of 1/x and expanding it vertically by a factor of 200.
2. Sum 10 units to 200/x. This represents a vertical shift of 10 units to the graph of 200/x.
The length of the line segment containing the points (1,7) and (5,5)
is 4.47 units
A, True
B. False
Answer:
True
Step-by-step explanation:
Let A denotes the point (1,7)
Let B denotes the point (5,5)
We are supposed to find The length of the line segment containing the points
Formula : [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex](x_1,y_1)=(1,7)\\(x_2,y_2)=(5,5)\\ d = \sqrt{(5-1)^2+(5-7)^2}\\ d = \sqrt{4^2+(-2)^2}\\ d = \sqrt{4^2+(-2)^2}\\d=4.47[/tex]
So,The length of the line segment containing the points (1,7) and (5,5) is 4.47 units is true.
Hence Option A is true
7. How many Cones will it take to fill a Cylinder with the same height and radius?
O 6 cones
O 3 cones
O 1 cone
O 2 cones
Answer:
3 cones
Step-by-step explanation:
This is why the formula for the volume of a cone is 1/3 (π×r^2)× h, while the volume for a cylinder is (π× r^2)× h, respectively.
Answer:
C) 3 Cones.
Explanation:
Hope this helps! :)
Calcula la altura de Juan sabiendo que proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80 metros proyecta una sombra de 2,25 metros.
Answer:
La altura de Juan por lo tanto es de 1.6 metros de altura
Step-by-step explanation:
Segun los datos que se encuentran en el ejercicio, tenemos lo siguiente:
Juan proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80.
Supongamos que x es la altura de juan que tenemos que calcular.
La altura de Juan por lo tanto la podemos calcular de la siguiente manera con la siguiente formula:
x= (1.8 metros/2.25 metros)*2
x=1.6 metros
La altura de Juan por lo tanto es de 1.6 metros de altura
There is a unique positive real number x such that the three numbers
log82x, log4x and log2x, in that order, form a geometric progression with a positive common ratio.
The number x can be written as m/n, where m and n are relatively prime positive integers.
Find m+n.
Step-by-step explanation:
If the log82x, log4x and log2x, in that order, form a geometric progression with a positive common ratio.
Let a = log82x, b = log4x and c = log2x
If a = log8 2x; 8^a = 2x... (1)
If b = log4 x; 4^b = x ... (2)
If c = log2 x; 2^c = x...(3)
Since a, b c are in GP, then b/a = c/b
Cross multiplying:
b² = ac ...(4)
From eqn 1, x = 8^a/2
x = 2^3a/2
x = 2^(3a-1)
From eqn 2; x = 4^b
x = 2^2b
From eqn 3: x = 2^c
Equating all the values of x, we have;
2^(3a-1) = 2^2b = 2^c
3a-1 = 2b = c
3a-1 = c and 2b = c
a = c+1/3 and b = c/2
Substituting the value of a = c+1/3 and b = c/2 into equation 4 we have;
(c/2)² = c+1/3×c
c²/4 = c(c+1)/3
c/4 = c+1/3
Cross multiplying;
3c = 4(c+1)
3c = 4c+4
3c-4c = 4
-c = 4
c = -4
Substituting c = -4 into equation 3 to get the value of x we have;
2^c = x
2^-4 = x
x = 1/2^4
x = 1/16
Since the number x can be written as m/n, then x = 1/16 = m/n
This shows that m = 1, n = 16
m+n = 1+16
m+n = 17
The required answer is 17.
The value of m+n in which m and n are relatively prime positive integers is 17.
What is geometric sequence?Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.
There is a unique positive real number x such that the three numbers log82x, log4x and log2x, in that order, form a geometric progression with a positive common ratio. The progression is,
[tex]\log_82 x,\log_4x, \log_2x[/tex]
The above numbers are in geometric progression. Thus, the ratio of first two terms will be equal to the ratio of next two terms as,
[tex]\dfrac{\log_4x}{\log_82x}=\dfrac{\log_2x}{\log_4x}\\(\log_4x)^2={\log_2x}\times{\log_82x}\\[/tex]
Using the base rule of logarithmic function,
[tex]\left(\dfrac{\log x}{\log 4}\right)^2=\dfrac{\log x}{\log2}\times\dfrac{\log2x}{\log8}\\\left(\dfrac{\log x}{\log 2^2}\right)^2=\dfrac{\log x}{\log2}\times\dfrac{\log2x}{\log2^3}[/tex]
Using the Power rule of logarithmic function,
[tex]\left(\dfrac{\log x}{2\log 2}\right)^2=\dfrac{\log x}{\log2}\times\dfrac{\log2x}{3\log2}\\\dfrac{\log x}{4}=\dfrac{\log 2+\log x}{3}\\3\log x=4(\log2x)\\\log x^3=\log(2x)^4\\x^3=16x^4\\x=\dfrac{1}{16}[/tex]
The number x can be written as
[tex]\dfrac{m}{n}[/tex]
Here, m and n are relatively prime positive integers. Thus, the value of m+n is,
[tex]m+n=1+16=17[/tex]
Hence, the value of m+n in which m and n are relatively prime positive integers is 17.
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6th question of the day
WHat is the equation for standard equation of circle?
Answer:
Where (h,k) is the center and r is the radius
Step-by-step explanation:
[tex]r^2 = (x-h)^2+ (y-k)^2[/tex]
The parallelogram does not have right angles. Its area is
less than ab.
equal to ab.
greater than ab.
Answer:
equal to ab
Step-by-step explanation:
The area of a parallelogram is Area = ab
therefore, the area is ab
Answer:
Less than ab
Step-by-step explanation:
SA police department used a radar gun to measure the speed of a sample of cars on the highway.
Assume that the distribution of speeds is approximately Normal with a mean of 71 mph and a
standard deviation of 8 mph.
Using this distribution what is the z-score of a 65-mph speed limit? *
Answer:
The z score of the 65-mph speed limit is -0.75
Step-by-step explanation:
The z score is given by the relation;
[tex]z = \frac{x- \mu}{\sigma}[/tex]
Where:
Z = Normal (Standard) or z score
x = Observed speed score
μ = Mean, expected speed
σ = Standard deviation
Where we plug in the values for x = 65-mph, σ = 8 mph and μ = 71 mph, into the z-score equation, we get;
[tex]z = \frac{65-71}{8}= \frac{-6}{8} = -\frac{3}{4}[/tex]
Hence the z score of the 65-mph speed limit =-3/4 or -0.75.
Your macaroni and cheese recipe calls for 1 2/3 cups of milk. You're having company and you need to quadruple the recipe. How much milk will you need?
Answer:
4 2/3
Step-by-step explanation:
For the quadrupled recipe, you will need 6 2/3 cups of milk.
Here, we have,
To quadruple the macaroni and cheese recipe,
we need to multiply the original recipe measurements by 4.
The original recipe calls for 1 2/3 cups of milk.
To find out how much milk is needed for the quadrupled recipe, we can multiply 1 2/3 by 4:
1 2/3 * 4
= (5/3) * 4
= 20/3
= 6 2/3
Therefore, for the quadrupled recipe, you will need 6 2/3 cups of milk.
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i think of a number multiply it by 3 and subract 2 . The result is 14
Answer:
5.3
Step-by-step explanation:
Answer:
The answer is 5.3
Step-by-step explanation:
5.3x3-2= 13.9 but when you round its 14
Solve. 2(n - 1) + 4n = 2 ( 3n - 1 ) please help ASAP
Answer:
0
Step-by-step explanation:
2(n - 1) + 4n = 2 ( 3n - 1 )
2n - 2 + 4n = 6n - 2
6n - 2 = 6n - 2
6n - 6n = -2 + 2
0 = 0
A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number less than 5?
Write your answer as a fraction in simplest form.
Answer & Step-by-step explanation:
On a six-sided die, there are 4 numbers less than 5. So, we can write this as a fraction.
[tex]\frac{4}{6}[/tex] or we can write this fraction as [tex]\frac{2}{3}[/tex]
So, the probability of rolling a number less than 5 is [tex]\frac{2}{3}[/tex]
Solve the long division
Answer:
1. 158
2. 120.125
3. 148.6
4. 158.6
Step-by-step explanation:
You divide the number inside by the number outside
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
Answer:
66 ft^2
Step-by-step explanation:
the formula for the area of a triangle is b x h over 2. the base is 22 and the height is 6. 22 x 6=132. 132/2=66
An economy package of cups has 250 green cups if the green cups are 10% of the total package, how many cups are in the package?
Answer:
There are a total of 2500 cups
Step-by-step explanation:
10% of the cups are green
you can set up a equation for this
x = total cups
.10x = 250
multiply both sides by 10 to make x a whole number
x = 2500
Complete the point-slope equation of the line through (-1,6) and (1,5)
Answer:
y − y1 = m(x − x1)
m = (y2-y1) / (x2-x1) = (5 - 6) / (1 - (-1)) = -1 /2
y - 6 = -1/2 (x - (-1))
y - 6 = -1/2 (x + 1)
y - 6 = -1/2x - 1/2
Step-by-step explanation:
A bag of marbles contains 6 blue marbles, 2 yellow marbles, 4 red marbles, and 1 green marble. What is the probability of
reaching into the bag and selecting a yellow marble?
1/13
2/13
1/6
2/6
Answer:
It would be B.
Step-by-step explanation:
Hope it helpssss
Describe the process for calculating the volume of a cylinder.
Answer:
the formulae for the volume of a cylinder= πr²h
so we then put the figures at their respective positions. and for the pie we put either 22/7 or 3.143 or 3.14
i dont know how to do this if someone could show me how and what the answer is
Answer:
It is A because due to the slope it is a parallelogram.
Step-by-step explanation:
Answer:
its a
Step-by-step explanation:
3a/4+2a/3-a/12
a. a/3
b. 4/3
c. (4a)/3
Answer: C
Step-by-step explanation:
[tex]\frac{3a}{4}+\frac{2a}{3}-\frac{a}{12}[/tex]
Find the least common denominator of 4, 3, and 12.
4-3-12 | 3
4-1-4 | 4
1-1-1 |-------- 12
The first fractions needs to be multiplied by 3, and the second fraction, by 4
[tex](\frac{(3a)*3}{(4)*3})+(\frac{(2a)*4}{(3)*4})-\frac{a}{12}[/tex]
Solve;
[tex]\frac{9a}{12}+\frac{8a}{12}-\frac{a}{12}[/tex]
Add the fractions with positive signs and subtract the one with negative sign.
[tex]\frac{(9a+8a)-a}{12}[/tex]
Solve;
[tex]\frac{17a-a}{12}=\frac{16a}{12}[/tex]
Simplify by 4;
16/4=4
12/4=3
[tex]\frac{4a}{3}[/tex]
Answer:
(4a)/3
Step-by-step explanation:
3a/4+2a/3-a/12
find L.C.M
9a+8a-1a/12=16a/12
16a/12=(4a)/3
plzzzzzzzzzzzzzaaaaaa
Answer:
C
Step-by-step explanation:
[tex]y^2+4y-32=0\\(y+8)(y-4)=0\\y=4,-8[/tex]
Therefore, the answer is C. Hope this helps!
What is the y- intercept of the graph shown that is below
Answer:
B
Step-by-step explanation:
The y- intercept is the point on the y- axis where the line crosses it
This point is y = 2
with coordinates (0, 2 ) → B
The line is crossing the y axis at (0,2)
What is intercept ?The x - intercept is where a line crosses the axis and the y intercept is the point where the line crosses the y - axis .
observing the graph it can be concluded that ,
The line is crossing the y axis where x = 0 and y = 2 , so the point is (0,2)
correct answer is c) (0,2)
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area of isosceles triangle
Answer:
You find the base and height then divide by 2
Step-by-step explanation:
Answer:
height x 2 divided by 1/2
Step-by-step explanation:
Story: The Escalator Ratio Task: Ty took the escalator to the second floor. The escalator is 12 meters long, and he rode the escalator for 30 seconds. (Things to consider: 60 seconds = 1 minute; 60 minutes = 1 hour; 24 hours = 1 day). Question: True or False? He traveled 2 meters ever 5 seconds. Answer T or F and tell (or show) how you know you are correct.
Answer: True
Step-by-step explanation:
YES, HE TRAVELLED 2 METRES EVERY 5 SECONDS
PROOF:
TOTAL RIDE TIME = 30 SECONDS
Length of elevator = 12 METRES
Distance moved per second can be calculated by = (length of elevator / total ride time)
( 12 METRES / 30 seconds) = 0.4 metres per second
Therefore, distance covered in 5 seconds :
0.4 × 5 = 2 metres.
Hence, the proof
He traveled 2 meters ever 5 seconds
What is the area of the parallelogram? A parallelogram with a base of 14 centimeters and a height of 5 centimeters.
Answer:
The answer is 70cm²Step-by-step explanation:
Area of a parallelogram = base × height
From the question
base = 14 cm
height = 5 cm
Substituting the values into the above formula we have
Area = 14 cm × 5 cm
Area = 70cm²Hope this helps you
Answer:
1,750
Step-by-step explanation:
Robert works at a car dealership. Each month, he receives a base salary of $1,854.00, plus a commission of $478.00 for each vehicle he sells. Which of the following equations could be used to determine Robert's total income each month? (Let x represent the number of cars sold by Robert and y represent his total monthly income.)
Answer:
y = 478x + 1,854
Step-by-step explanation:
Solve the equation for x, and enter your answer below.
10x - 15x + 5= -45 + 40
Answer: x = 2
Step-by-step explanation:
[tex]10x - 15x + 5= -45 + 40[/tex]
subtract 5
[tex]10x - 15x= -45 + 40-5[/tex]
Combine like terms;
[tex]-5x=-10[/tex]
Divide by -5
[tex]x=\frac{-10}{-5}\\ x=2[/tex]
Answer:
[tex]x = 2[/tex]
Step-by-step explanation:
[tex]10x - 15x + 5 = - 45 + 40 \\ 10x - 15x = - 5 - 45 + 40 \\ - 5x = - 10 \\ \frac{ - 5x}{ - 5} = \frac{ - 10}{ - 5} \\ x = 2[/tex]
Mona likes to ski. One lap includes a 4 minute ride up the ski lift and 5 minutes to ski down the hill. How long will it take her to do 5 laps?
Answer:
pretty sure it is 45mins
Step-by-step explanation:
U add 4+5=9 so that is one lap
then take 9*5=45 and that would be 5 laps
Answer:
45
Step-by-step explanation: first we want to find out the time it takes to do one full lap of skiing. in order to do this you have to add 4 to 5. we do this because if we start at the bottom of the hill we have to ride 4 min up to the top then 5 min to get back to the bottom. so in all it will 9 min to do one full lap. because we want to find out how long it will take to do 5 laps we do 9x5=45
Tan θ =
[tex] \sqrt{13} \div \sqrt{2} [/tex]
Answer:
Step-by-step explanation:
Tan θ = [tex]\sqrt{13} \div \sqrt{2}[/tex] = 2.5495
Therefore θ = [tex]Tan^{-1}[/tex] (2.5495) =68.5832°
Answer:
Tan θ = 2.5495097...
A ski run is 1000 yards long with a vertical drop of 208 yards. Find the angle of depression from the top of the ski run to the bottom.
Answer:
angle of depression = -12 degrees
Step-by-step explanation:
Sin = opposite/hypotenuse
sin = -208/1000
inv sin 0.208 = -12
To solve this problem, we just need to use trigonometric ratio and use the ratio that best fits this problem. The angle of depression is equal to 76.23 degrees.
Trigonometric RatioUsing SOHCAHTOA, we can easily solve this problem, but we need to first know which ratio to use
Data;
opposite (ski run) = 1000 yardsadjacent (vertical drop) = 208 yardssince we have the value of opposite and adjacent, we can solve this using the tangent of the angle
[tex]tan\theta = \frac{opposite}{adjacent} \\tan \theta = \frac{1000}{208} \\tan\theta = 4.807\\\theta = sin^-^1 (4.0807)\\\theta = 76.23^0[/tex]
From the calculation above, the angle of depression is equal to 76.23 degrees.
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At Subway sandwiches, how many different sandwiches can I make from 3 different types of bread, 5 different types of cheese, and 4 different types of meat?
Answer:
60 sandwiches
Step-by-step explanation:
In this case we must know that for each type of bread, it can be combined with each type of cheese and each type of meat, that is to say that the total amount of combinations would be, the amount of types of bread, for the amount of types of cheese for the amount of types of meat, that is to say:
3*5*4 = 60
That means there are a total of 60 ways to make different sandwiches
