f(x) is linear
g(x) is exponential
Answer: linear, exponential
Step-by-step explanation:
f(x) the blue line has a constant slope so is a line (linear).
g(x) the red line has an asymptote at x = 0 and has an exponential rate/slope so is exponential.
How do I solve this question
Answer:
Part 1) [tex][(250)^{2}+(-400)^{2}+(-250)^{2}+(350)^{2}+(100)^{2}+(-50)]=420,000[/tex]
Part 2) The variance is equal to [tex]Variance=70,000[/tex]
Part 3) [tex]Standard\ Deviation=265[/tex]
Step-by-step explanation:
step 1
Find the mean of the areas
we have
[tex][2,400,1,750,1,900,2,500,2,250,2,100][/tex]
To find the mean sum all the values and divide by the number of values
The number of values is 6
so
[tex][2,400+1,750+1,900+2,500+2,250+2,100]/6=2.150[/tex]
The Mean is [tex]2.150[/tex]
step 2
For each number subtract the Mean
[tex][(2,400-2,150),(1,750-2,150),(1,900-2,150),(2,500-2,150),(2,250-2,150),(2,100-2,150)][/tex]
[tex][(250),(-400),(-250),(350),(100),(-50)][/tex]
step 3
Find the Variance
To calculate the Variance, take each difference, square it, and then average the result
[tex][(250)^{2}+(-400)^{2}+(-250)^{2}+(350)^{2}+(100)^{2}+(-50)]=420,000[/tex]
[tex]Variance=420,000/6=70,000[/tex]
step 4
Find the standard deviation
The Standard Deviation is just the square root of Variance
so
[tex]Standard\ Deviation=\sqrt{70,000} =265[/tex]
janak is 2time younger than his father and 6 time younger than his sister and total age is 118.Find the age of janak.
Answer:
13
Step-by-step explanation:
In the question area!! lol
To find Janak's age, we set up an equation based on the information that his age is twice younger than his father's and six times younger than his sister's with their combined age totaling 118. Upon solving the algebraic equation, we find that Janak is approximately 13 years old.
We are given a problem where Janak is twice younger than his father and six times younger than his sister. The total age of Janak, his father, and his sister is 118 years. To solve for Janak's age, we will use algebra.
Let's assume Janak's age is J, his father's age will be 2J (twice Janak's age), and his sister's age will be 6J (six times Janak's age). We express the total age as the sum of their individual ages:
Janak's age = JFather's age = 2JSister's age = 6JThe equation that represents the total age is:
J + 2J + 6J = 118Combining the terms gives us:
9J = 118To find Janak's age, we divide both sides of the equation by 9:
J = 118 / 9After performing the division, we get:
J ≈ 13.11So, Janak is approximately 13 years old.
Which expression simplifies 2/5 ? A) (-1/10)-(-1/2) B) (-1/10)+(-1/2) C) (-1/10)×(-1/2) D) (-1/10)÷(-1/2)
[tex]\bf -\cfrac{1}{10}-\left( -\cfrac{1}{2} \right)\implies -\cfrac{1}{10}+\cfrac{1}{2}\implies \stackrel{\textit{using the LCD of 10}}{\cfrac{-(1)1~~+~~(5)1}{10}}\implies \cfrac{-1+5}{10} \\\\\\ \cfrac{4}{10}\implies \stackrel{simplified}{\cfrac{2}{5}}[/tex]
A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose . this table shows the results .
A person is randomly selected from those surveyed
Are being a student and preferring “shark” independent events ? Why or why not ?
The true statement about the events is (b) No, they are not independent because P(student)= 0.87 and P(student/shark)=0.95
How to determine the true statement?Two events A and B are independent if
P(A∣B) = P(A)
Using the data entries in the table, we have:
P(Student) = 100/115
P(Student) = 0.87
Also, we have:
P(Student | Shark) = 90/95
P(Student | Shark) = 0.95
The probability values are not equal
i.e.
P(Student) ≠ P(Student | Shark)
Hence, the events A and B are not independent events because P(student)= 0.87 and P(student/shark)=0.95
Read more about probability at:
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2+14a=-8+9a
-2
-10
5
3
Answer:
-2
Step-by-step explanation:
2+14a=-8+9a
-9a -9a
2+5a= -8
+8 +8
10+5a=0
-10 -10
5a= -10
-10/5a =-2
The price of a digital camera was reduces from $350 to $280 by what percentage was the price of the digital camera reduced?
Answer:
20%
Step-by-step explanation:
First: work out the difference (decrease) between the two numbers you are comparing.
Decrease = Original Number - New Number
350-280= 70
Then: divide decrease by original number & multiply the answer by 100.
70/350= .2
.2*100= 20
Percentage Reduced = 20%
% Decrease = Decrease ÷ Original Number × 100
PLEASE IM DESPERATE
BRAINLIEST+THANKS***
ANSWER
Option B
and
Option D.
EXPLANATION
The graph of the function has an amplitude of 2 and a period of
[tex] \frac{2\pi}{3} [/tex]
Choose all the equation that has an amplitude of 2 and a period of
[tex]\frac{2\pi}{3} [/tex]
These are:
[tex]y = 2 \sin3(x - \frac{2\pi}{3} ) [/tex]
and
[tex]y = 2 \sin(3x) [/tex]
The second and the last options are correct.
B and D are the correct answers
Sally drives from Turlock to Los Angeles at an average speed of 60 miles per hour. Turlock is approximately 300 miles from Los Angeles. Which of the following graphs could give Sally’s approximate distance d, in miles from Los Angeles, in terms of time t,in hours?
The graph representing Sally's distance from Los Angeles should depict a linear decrease from the point (0, 300) with a slope of -60. The line starts at 300 on the y-axis and consistently drops 60 units for every hour of travel time.
Explanation:To find which graph could represent Sally's distance from Los Angeles in terms of time, we first determine the equation for Sally's journey. Since Sally drives at an average speed of 60 miles per hour, the distance she has driven after t hours is given by the equation d = 300 - 60t, where 300 is the initial distance from Los Angeles, and 60t represents the distance traveled in t hours.
The graph of this equation would be a straight line starting at the point (0, 300) and decreasing with a slope of -60, which represents the rate at which Sally approaches Los Angeles. This line shows how Sally's distance from Los Angeles decreases over time at a constant rate.
Therefore, the appropriate graph should start at 300 on the y-axis and slope downwards to the right, crossing the y-axis at points that are 60 units lower for each additional hour on the x-axis. This will show a linear decrease in distance over time, which corresponds to Sally's constant speed of 60 miles per hour.
What is the truth value for the following conditional statement? p: false q: true ∼q → ∼p
Answer:
p false
Step-by-step explanation:
Answer:
Truth value of ~p → ~q will be False.
Step-by-step explanation:
If the truth value of conditional statement p is false then the truth value of
~p will be True
If the truth value of other statement q is True then the truth value of ~q will be False
We know truth value of the implication of two conditional statements a → b is False only when a is true and b is false.
Therefore, ~p → ~q will be False.
Lola measures three buttons for a shirt she’s making. One button is 1/8, 3/8 and 1/4 inch. The button hole is 2/6 of an inch. Which will fit ? Explain
Answer:
3/8
Step-by-step explanation:
That's the only one bigger than 2/6, any smaller will fall out as it's a button. You'd twist it sort of in half to get it in the hole, therefore, 3/8 is the only button that will fit.
I'm not sure if this is correct but this is how I'd go about it :)
A sweater is marked down 35% off the original price. The original price was $40. What is the sale price of the sweater before sales tax?
Answer: $26
$40*.35=$14 off price of sweater
40-14=$26 sale price
Or
$40*.65=$26 sale price
Answer:
The correct answer is $26.
Step-by-step explanation:
Well, we must first analyze the information we have.
We have a sweater that was marked down 35% off.
We know that the original price of the sweater is $ 40. Now we just have to find out the final price.
But to know that, we must first know what the discount was applied.
And we find out as follows:
[tex]Tax= 40 . 0,35[/tex]
[tex]Tax= 14[/tex]
In this way we show that the price discounted to the sweater was $ 14
Now we just have to make a subtraction between the original price and the discount :
40-14=26
The final price of the sweater is $ 26
PLEASE JUST CHECK IT OUT AND TRY YOUR BEST TO ANSWER. I WILL DEFINITELY AWARD BRAINLIEST :)
A family has a monthly budget of $4,500. The dad works full time and takes home $900 each week. The mom works part time and brings home $9 for every hour she works. How many hours per month must the mom work to make sure their family has their monthly budget?
The answer is a hundred hours a month
dad brings home 3,600 dollars so mom has to make 900 a month
WILL GIVE BRAINLIEST
Which describes a uniform probability model?
A) flipping a coin and rolling a six sided die
B) selecting a ball from 2 baseballs and 3 softballs
C) the number of heads and tails from flipping two coins
D) a spinner with five equal sections: 2 blue, 2 red, 1 yellow
Thank You! :)
Answer:
A
Step-by-step explanation:
sorry just a little confused
Answer:
A) Flipping a coin and rolling a six sided dice.
Step-by-step explanation:
Lets use a process of elimination in order to find the correct answer.
We are looking for a uniform probability model. This means that every outcome in this situation has the same chance of occurring.
D) This cannot be the right answer as the chances of probability are [tex]\frac{2}{5} ,\frac{2}{5} ,\frac{1}{5}[/tex]
As these are not all equal, this cannot be the right answer.
B) This cannot be the right answer as the chances of probability are [tex]\frac{2}{5} ,\frac{3}{5}[/tex]
As these are not equal, this cannot be the right answer.
C) Lets look at every outcome that could occur in this situation.
You could have 2H, 2T, HT, and TH. As HT and TH are the same, their probability can be written together.
This means that the probabilities would be
[tex]\frac{1}{4} ,\frac{1}{4} ,\frac{1}{2}[/tex]
This means that A must be the correct answer as we have ruled out every other option.
Evaluate 3/2y - 3 + 5/3z when y=6 and z=3
Answer: 11
Step-by-step explanation:
3/2(6) - 3 + 5/3(3)= 11
The function rule is y=2x-1. If the input is 3 what is the output. I need help it important please someone help
Answer:
The output is 5
Step-by-step explanation:
we have
[tex]y=2x-1[/tex]
In this linear equation the input is the variable x and the output is the variable y
so
If the input is 3
That means ------> x=3
substitute the value of x in the equation and find the value of y (output)
[tex]y=2(3)-1=5[/tex]
A triangular prism was sliced parallel to its base. What is the shape of the cross section shown in the figure?
a triangle that has the same dimensions as either base of the prism
a triangle that does not necessarily have the same dimensions as either base of the prism
a parallelogram that is not a rectangle
a rectangle
Answer:
The answer is a rectangle.
Step-by-step explanation:
A triangular prism was sliced parallel to its base. What is the shape of the cross section shown in the figure?
The answer is rectangle. If the base is a rectangle and we slice it parallel to the base in the same direction as the base, we will get smaller and smaller rectangles with each slice.
This can be clear with the picture attached. If we slice parallel to rectangular base, the cross section will be a rectangle.
the 7 represents how many times the value of the 7 in 78
Answer: 11 times
Step-by-step explanation:
Solve the equation. y-6/y =5
Answer:
-3/2
Step-by-step explanation:
multiply both sides by y:
y-6 = 5y
subtract y from both sides:
-6 = 4y
divide both sides by 4:
-6/4 = y
y = -3/2
Answer:
[tex]\frac{y-6}{y}=5\quad :\quad y=-\frac{3}{2}[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}y\\\frac{y-6}{y}y=5y\\\mathrm{Simplify\:}\frac{y-6}{y}y:\quad y-6\\y-6=5y\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\\y-6+6=5y+6\\y=5y+6\\\mathrm{Subtract\:}5y\mathrm{\:from\:both\:sides}\\y-5y=5y+6-5y\\-4y=6\\\mathrm{Divide\:both\:sides\:by\:}-4\\\frac{-4y}{-4}=\frac{6}{-4}\\y=-\frac{3}{2}[/tex]
OR
[tex]y-\frac{6}{y}=5\quad :\quad y=6,\:y=-1[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}y\\yy-\frac{6}{y}y=5y\\y^2-6=5y\\\mathrm{Solve\:}\:y^2-6=5y:\quad y=6,\:y=-1[/tex]
Hope this helps!!!!
write an equation in slope-intercept form when the y-intercept is 0 and the slope is -4
Answer: Y=mx+b
B is the y intercept and the slope is M
So the answer is Y= -4x+ 0
Step-by-step explanation:
Answer:
y = - 4x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - 4 and c = 0, hence
y = - 4x ← is the equation of the line
Which of the following is an obtuse triangle ?
Answer:
A. Triangle B
Step-by-step explanation:
Obtuse angles are greater than 90°, but less than 180°.
I am joyous to assist you anytime.
The obtuse triangle is B, the correct option is B.
Obtuse triangle;A triangle whose any one of the angles is an obtuse angle or more than 90 degrees, then it is called an obtuse-angled triangle.
In triangle B the obtuse angle or more than 90 degrees is 126 degrees.In triangle A there is no angle greater the 90 degrees.In triangle C there is no angle greater the 90 degrees.In triangle D there is no angle greater the 90 degrees.Hence, the obtuse triangle is B.
To know more about obtuse triangles click the link given below.
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The frequency of the musical note B4 is about 493.88 Hz.
What is the frequency of the note one octave above B4?
987.76 Hz
740.82 Hz
329.25 Hz
246.9 Hz
Answer:
987.76 Hz
Step-by-step explanation:
You have B4's frequency of 493.88 Hz and you want to know the frequency of the note one octave above B4.
When you go up an octave, you double the original frequency. When you go down an octave, you divide the original frequency by two.
So, since B4's frequency is about 493.88 Hz, an octave above would be 2 x 493.88 Hz or 987.76 Hz
If we were looking for an octave below B4, we would divide 493.88 Hz by 2 to get 246.94 Hz.
Answer:
987.76 Hz
Step-by-step explanation:
493.88*2=987.76
took the test
Martin can run 1 mile in 7 minutes. What proportions can be written from this information?
Answer:
[tex]\frac{1}{7}=\frac{3}{21}[/tex]
[tex]\frac{7}{1}=\frac{21}{3}[/tex]
Step-by-step explanation:
Verify each case
case 1) [tex]\frac{1}{7}=\frac{3}{21}[/tex]
Multiply in cross and then compare both sides
[tex]1*21=7*3[/tex]
[tex]21=21[/tex] ----> is true
therefore
Is a valid proportion
case 2) [tex]\frac{1}{21}=\frac{3}{7}[/tex]
Multiply in cross and then compare both sides
[tex]7*1=21*3[/tex]
[tex]7=63[/tex] ----> is not true
therefore
Is not a valid proportion
case 3) [tex]\frac{7}{1}=\frac{3}{21}[/tex]
Multiply in cross and then compare both sides
[tex]21*7=1*3[/tex]
[tex]147=3[/tex] ----> is not true
therefore
Is not a valid proportion
case 4) [tex]\frac{7}{1}=\frac{21}{3}[/tex]
Multiply in cross and then compare both sides
[tex]3*7=1*21[/tex]
[tex]21=21[/tex] ----> is true
therefore
Is a valid proportion
case 5) [tex]\frac{1}{7}=\frac{21}{3}[/tex]
Multiply in cross and then compare both sides
[tex]3*1=7*21[/tex]
[tex]3=147[/tex] ----> is not true
therefore
Is not a valid proportion
Answer:
a and d
Step-by-step explanation:
the graph below has the same shape. what is the equation of the graph?
C; A and B are incorrect because the shift is not vertical, it is horizontal. This is because 3 is in parenthesis or a 'grouping' (same thing if it is in an exponent) and is being modified. Since the graph is being translated down 3 units, D is incorrect since it is a translation up 3 units. The answer is C.
Which is equal to the expression below?
(x-3x)+(3x-5x)+(5x-7x)+...+(23x- 25x)
A.
-26x
B.
-24x
C.
24x
D.
26x
-24x. This is an example of a "telescoping series". If you notice, the last and first part of each term cancel out. Take away the parenthesis and you'll see it. x-3x+3x-5x+5x-7x+7x... everything goes away except x-25x so it's -24x.
I need help on this question
Answer:
your answer is b
Step-by-step explanation:
There are 136 boys and 184 girls at wood middle school. There are 308 boys and 212 girls at Parker middle school. What is the ratio of students at wood middle school to students at Parker middle school?
to find the ratio of total students, you would have to add the boys and girls together
136 + 184 = 320 total students at wood middle school
308 + 212 = 520 total students at parker middle school
therefore, the ratio of students at wood middle school to students at parker middle school would be 320:520
ratio simplified) 8:13
Answer:
320:520 or 320 to 520 or 320/520
Step-by-step explanation:
1st step: add the two comparisons of numbers together,
= 136 + 184 = 320
2nd step: do the same with the second set of numbers,
= 308 + 212 = 520
3rd step:
Take both sums or total and put them in ratio form,
= 320 and 520
4th step: Rewrite in ration form (There are many ways of doing this, here are a few:)
320:520 or 320 to 520 or 320/520
Help please what is the answer?
Answer:
C) 5.6
Step-by-step explanation:
AC = sqrt(11^2 + 2^2) = sqrt(125)
(1/2)AC = (1/2)sqrt(125)
(1/2)AC = 5.6
Answer: C) 5.6
Answer:
C, 5.6
Step-by-step explanation:
A midsegment is half of the side it is parallel to. This means that it is half of BC. They give us the coordinates for B and C so we can just use the distance formula (the square root of the change in x squared plus the change in y squared)
If you simplify it, you get root 125 which is about 11.2. 11.2 divided by 2 is 5.6, so your answer would be C.
Which of the following describe the sine function? Check all that apply.
Its range is all real numbers.
Its period is 2pi.
Its maximum is –1.
Its domain is all real numbers.
Its maximum is 1.
Answer:
Step-by-step explanation:
Its range is all real numbers. FALSE. Its range is [-1, 1].
Its period is 2pi. TRUE
Its maximum is –1. FALSE; -1 is its minimum.
Its domain is all real numbers. TRUE
Its maximum is 1. TRUE
The following describes a sine function:
Its period is 2pi.Its domain is all real numbersIts maximum is 1Meaning of a sine functionThe sine function is one out of the three basic functions we have in trignometry.
Sine theta in a right triangle is the ration of the opposite side of the triangle to its hypotenuse side.
The sine function is positive in the first two quadrants but negative in the other two.
In conclusion, the sine function can be described in so many ways but a few has been listed above.
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What is 3/4 plus 3/4 = measurement
Answer:
3/2
Step-by-step explanation:
3/4 plus 3/4 is 3/4 + 3/4 = 6/4, and this reduces to 3/2.
Answer:
1 1/2
Step-by-step explanation:
Adding the numerators, three and three, yields six. The resulting fraction is 6/4. The next step is simplifying this fraction. The numerator is greater than the denominator and this indicates that the answer is more than one. Therefore, the numerator is divided by the denominator, which equals one with a remainder of two. This remaining fractional part, 2/4, is simplified by dividing both numerator and denominator by the greatest common factor, which is 2. This becomes 1/2, for a final answer of 1 1/2.
The volume of a cube depends on the length of its sides. This can be written
in function notation as v(s). What is the best interpretation of v(4)= 64?
A. 4 sides of the cube have a total length of 64 feet.
B. A cube with side lengths of 4 feet has a volume of 64 cubic feet.
C. A cube with a volume of 4 cubic feet has side lengths of 64 feet.
D. 4 of these cubes will have a total volume of 64 cubic feet.
Answer: B. A cube with side lengths of 4 feet has a volume of 64 cubic feet.
Step-by-step explanation:
We know that the volume of a cube is the cube of the side-length.
Given : The volume of a cube can be written in function notation as v(s).
The formula to find the volume of cube having sides as 's' will be :-
[tex]\text{V(s)}=s^3[/tex]
Then, the expression [tex]v(4)= 64[/tex], represents that for side =4 units , the volume of cube is 64 cubic units.
Hence for unit = feet , it represents that A cube with side lengths of 4 feet has a volume of 64 cubic feet.