The correct option is D.
Sebastian use in his deduction the table shows two x-intercepts and it changes from increasing to decreasing.
CONCULSION-The curve is definitely not logarithmic because it has two x-intercepts.The curve will cut the x-axis at two points and hence, it will have two x-intercepts.There is no sign of any y-intercept based on the data available in the table.
Therefore, the conclusion is made using the information "the table shows two x-intercepts and it changes from increasing to decreasing".
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Sebastian used the information 'The table shows two x-intercepts and it changes from increasing to decreasing' for his deduction. This could suggest that he might be dealing with a quadratics or an inverted expressive function.
Explanation:Based on the choices provided, it appears that Sebastian used the information that 'The table shows two x-intercepts and it changes from increasing to decreasing' in his deduction. An x-intercept in a function table happens where the y-value equals zero. Two x-intercepts imply that there are two points where the function crosses the x-axis. A function's pattern shifting from an increasing pattern to a decreasing pattern is indicative of a maximum point. This suggests that Sebastian may be working with a quadratics or an inverted expressional function.
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Madi is 5 times as old as Brecken. In 12 years, she will be twice as old as he will be then. How old are they now?
Madi is 4 and Bracken is 20.
In 12 years Madi will be 16 and bracken will be 32 which is twice the age of Madi.
Write the order pair that represents YZ. Then find the magnitude of YZ. Y(5,4), Z (0,-3)
Answer:
Ordered pair of YZ is (-5,-7) and magnitude of YZ is 8.602
Step-by-step explanation:
Given data:
Two pairs Y (5,4) and Z (0, -3)
To find: ordered pair of YZ
YZ = Z - Y = (0-5, -3-4)
= (-5, -7)
Hence ordered pair of YZ is (-5,-7)
To find: magnitude of YZ.
Here Y and Z are initial and final points of vector. Magnitude of YZ is distance between points Y and Z. Distance formula is
Distance = [tex]\sqrt{(x2-x1)^{2} + (y2-y1)^{2} }[/tex]
magnitude of YZ = [tex]\sqrt{(0-5)^{2} + (-3-4)^{2} }[/tex]
= [tex]\sqrt{74}[/tex]
= 8.602
Another method:
magnitude of YZ = |YZ|
|YZ| = [tex]\sqrt{(-5)^{2} + (-7)^{2} }[/tex] ...............(since |xy| = [tex]\sqrt{(x)^{2} + (y)^{2} }[/tex]
= [tex]\sqrt{74}[/tex]
= 8.602
magnitude of YZ = 8.602
Answer:
D
Step-by-step explanation:
(-5,-7);√74 units
Please help!
The width of a rectangle is one-fifth of its perimeter. If the length of the rectangle is 15 inches, what is its width in inches?
Answer:
10 inches
Step-by-step explanation:
w = 1/5 P
Multiply each side by 5
5w = 1/5P *5
5w =P
We know the perimeter of a rectangle
P = 2(l+w)
We can set the two equations equal
5w = 2 (l+w)
l =15 inches
We can substitute 15 in for the length
5w = 2(15+w)
Distribute
5w = 30 +2w
Subtract 2w from each side
5w -2w = 30+2w-2w
3w =30
Divide each side by 3
3w/3 = 30/3
w =10
The width is 10 inches
The formula for perimeter is: P=2W+2L
Rewrite as: 2W = P-2L
Divide all terms by 2: P/2-L=W
Width is 1/5p, replace W in the equation: P/2-L= 1/5P
Multiply each term by 10: 5P-10L=2P
Subtract 2p from both sides and add 10L to both sides: 3P=10L
Lenght is given as 15 inches, replace L with 15 and multiply: 3P=150
Divide both sides by 3: P=50
W=1/5P = 10 inches
Which of the following is(are) the solution(s) to | X+10 | = 3x-2?
Answer:
x = 6
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
x = { 3, -2 }
Step-by-step explanation:
Let's actually find the solutions to | X+10 | = 3x - 2. Because of the absolute value operator this breaks down into two simpler problems:
1) x + 10 = 3x - 2, or 12 = 4x. Then x = 3
2) -(x + 10) = 3x - 2, or -x - 10 = 3x - 2, or -8 = 4x. Then x = -2
I really need help please dont put a crazy answer for points I NEED HELP! WILL MARK BRAINLIEST!!! If Pam works more than 40 hours per week, her hourly wage for every hour over 40 is 1.5 times her normal hourly wage of $7. Write a piecewise-defined function that gives Pam's weekly pay P(h) in terms of the number of hours h that she works.
Answer:
Sorry I made a mistake here is a picture of the answer. I hope this helps.
Pam's weekly pay can be modeled using a piecewise function. If Pam works 40 hours or less, her pay is her hourly rate times her hours worked. However, if she works more than 40 hours, her pay is her standard pay for 40 hours plus 1.5 times her hourly rate for each hour beyond 40.
Explanation:Pam's weekly pay, P(h), can be defined piecewise, meaning we split up h (the total hours she works) into different 'pieces' based on the terms of her pay structure. In this case, the 40 hour standard work week serves as the dividing line between these pieces. The piecewise function could be represented as follows:
P(h) = { $7h, if h <= 40
$7*40 + $7*1.5*(h-40), if h > 40 }
In this function, when Pam works 40 hours or fewer (h <= 40), her pay is simply her hourly wage ($7) times the number of hours worked. However, if she works more than 40 hours (h > 40), her pay is her standard weekly pay for the first 40 hours ($7 times 40) plus 1.5 times her hourly wage for each hour beyond 40 hours.
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A taxi charges a $3 initial fee,plus $1.50 per mile traveled.
What is the total cost of a 4.5- mile taxi trip?
A $9.00
B $9.50
C $9.75
D $10.00
Answer:
C
Step-by-step explanation:
$1.50 multiplied by 4.5 = 6.75
$6.75 plus $3 = $9.75
Answer:
$9.75
Step-by-step explanation:
1.50 per mile traveled
1.50 x 4.5 = 6.75
plus the additional fee of three dollars
6.75 + 3.00 = 9.75
Which equation can be used to find the volume of the cylinder?
s = 6 cm
h = 8 cm
OV= *(6) (8)
O V= x(12)?(8)
O V = $(8) (6)
V = x(8)?(8)
Answer:
Option 1: [tex]V=\pi (6)^{2} (8) \\[/tex]
Step-by-step explanation:
This is because when we plug in the value given in the picture.
Formula [tex]V=\pi r^{2} h[/tex]
The way we write this is by using our "r" which is 6. We plug in the 6 for "r" so the equation will look something like this: [tex]V=\pi (6)^{2} (h)[/tex]
Then we will plug in our height "h", which is 8. So the equation will look something like this: [tex]V=\pi (6)^{2} (8)[/tex]
So that's it. Very simple. Just remeber to keep the formula in mind and you will get the hang of it.
I hope this help! :D
The equation to find the volume of the cylinder is V = π ( 6 )² ( 8 )
What is a Cylinder?A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is
Volume of Cylinder = πr²h
Surface area of cylinder = 2πr ( r + h )
where r is the radius of the cylinder
h is the height of the cylinder
Given data ,
Let the volume of the cylinder be V
Let the radius of the cylinder be r = 6 cm
Let the height of the cylinder be h = 8 cm
Now , Volume of Cylinder = πr²h
On simplifying , we get
V = π ( 6 )² ( 8 )
V = 288π cm³
Hence , the equation is V = π (6 )² ( 8 )
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Product of 3 and 25 plus the product of 5 and 30?
It has to be an expression
Answer:
3(25)+5(30)
Step-by-step explanation:
Product means multiplying 2 things together and expression means you do not solve the equation you just leave it be
All of the following proportions are equivalent except
b/a=d/c
a/b=cid
a/c=b/d
a/d=c/b
The vertex form of the equation of a parabola is x = (y - 3)2 + 41.
What is the standard form of the equation?.
O A. x = y2 + 6y+41
O B. x = y2-6y+ 50
O c. x= y2 +y+22
O D. x = 3y2 - 6y + 50
Answer:
B
Step-by-step explanation:
x = (y - 3)² + 41 ← expand factor using FOIL
x = y² - 6y + 9 + 41 ← collect like terms
x = y² - 6y + 50 → B
Which equation can be used to find the length of side x?
The equation that can be used to find the length of side x is:
cos(25°) = x / 32.
The equation that can be used to find the length of side x is:
cos(25°) = x / 32
This equation is based on the trigonometric ratio tan, which is defined as
the opposite side over the adjacent side.
In this case, the opposite side is x and the adjacent side is 32.
We know the angle between these two sides is 25°, so we can use the
tan function to solve for x.
x = cos(25°) * 32
x = 14.65 cm
Therefore, the equation that can be used to find the length of side x is:
cos(25°) = x / 32
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Select the correct answer. What is the range of the function f(x) = 12 − 3x for the domain {-4, -2, 0, 2, 4}? A. {24, 18, 12, 6, 20} B. {6, 12, 18, 24, 30} C. {-12, -6, 0, 6, 12} D. {0, 6, 12, 18, 24}
so the right answer is of option D...
Which of the following sets of points are vertices of a right triangle?
Your answer:
O A(-1,-3), B(4, -3), C(2, -1)
O A(-2, 2), B(1, -4), C(4, 2)
O A(-1, 1), B(3,5), C(4, -4)
OA(-1,3), B(-4,-3), C(-4,1)
Answer:
the 3 one bro ok I will let you know the answer
Marcus is saving to purchase his first car. He found a used Ford F-150 truck for $4500. Marcus has $300 in his savings account and will save $200 each week from his weekly paycheck.
a. Is this arithmetic or geometric?
b. Write the simplified explicit formula for the sequence.
c. How many weeks will it take to save for the truck?
d. Identify the domain and range for the sequence.
Answer:
Step-by-step explanation:
A.) It is arithmetic since its says that Marcus will save $200 each week.
B.) f(x)=$4500-($300+200x) = $4200-$200x; x represents the number of weeks, f(x) represents the amount of money Marcus still has to pay to get the truck.
C.) $4200-$200x=0; find x. $4200 = $200x; x = 21 weeks
D.) Domain: 0-21 weeks Range: $0-$4200
Since the circumference of the circle can be represented
by 2nr, and the area of a parallelogram is determined using
A = bh, which represents the approximate area of the
parallelogram-like figure?
Answer:
C) A=1/2(2πr)(r)
Step-by-step explanation:
The approximate area of the parallelogram-like figure is,
⇒ A = 1/2(2πr)(r)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Since, The circumference of the circle, 2πr, is the measure completely around the circle.
When the pieces of the circle are rearranged, half of this circumference will be on the top of the parallelogram and half will be on the bottom.
This means the base will be,
⇒ 1/2(2πr).
Hence, The approximate height of the parallelogram is the radius of the circle; this makes the area
⇒ A = 1/2(2πr)(r)
Thus, The approximate area of the parallelogram-like figure is,
⇒ A = 1/2(2πr)(r)
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What is a difference between a rectangular prism and a cube?
A water tank is in the shape of a cylinder with a diameter of 20 feet and
a height of 20 feet. The tank is 70% full. About how many gallons of
water are in the tank? Round your answer to the nearest whole number.
Answer:
The amount of gallons rounded to a whole number is 32970 gallons.
Answer:
The amount of gallons rounded to a whole number is 32970 gallons.
Step-by-step explanation:
Help plzz ASSAP
The function f(x) = 30x + 150 represents the total cost of a gym membership at Jon's Gym for x months plus a signup fee. Bella's Gym has a signup fee of $50 and charges $45 dollars per month. Which statement is true.
Select one
The signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym
Jon's Gym charges $15 more per month Bella's Gym
The signup fee at Jon's Gym is $15 more than the signup fee at Bella's Gym
Jon's Gym charges $100 more per month than Bella's Gym.
Answer: The signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym
Step-by-step explanation:
Hi, to answer this question we have to write an equation for the cost of Bella's Gym
Jon's Gym: f(x) = 30x + 150
Bella's Gym has a signup fee of $50 and charges $45 dollars per month.
So, we have to multiply the number of months (x) by the cost per month, and add the signup fee cost (50).
Bella's Gym: f(x) = 45x+ 50
Since Jon's signup fee is 150 and Bella's signup fee is 50 , the difference of both costs is 100 (150-50=100), and since Jon's gym has the more expensive fee:
The signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym
Final answer:
The statement that the signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym is true.
Jon's Gym charges $30 per month while Bella's Gym charges $45 per month; thus, Jon's Gym charges $15 less, not more.
Explanation:
Comparing the costs of gym memberships at Jon's Gym and Bella's Gym requires analysis of the initial signup fees and the monthly rates. The function for Jon's Gym, f(x) = 30x + 150, indicates a signup fee of $150 and a monthly rate of $30. Bella's Gym has a signup fee of $50 and a monthly rate of $45. To determine the true statement, we compare these numbers directly:
The signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym ($150 - $50 = $100).The other statements provided in the question can be dismissed as false:
Jon's Gym does not charge $15 more per month than Bella's Gym; it charges $15 less per month.The signup fee at Jon's Gym is not $15 more than the signup fee at Bella's Gym; it is $100 more.Jon's Gym does not charge $100 more per month than Bella's Gym.Therefore, the correct statement is that The signup fee at Jon's Gym is $100 more than the signup fee at Bella's Gym.
The polynomial p(w) = 3w^3 - 20w^2 + 37w - 20 has a known factor of (w-4). Rewrite p(w) as a product of linear factors.
Answer:
(w - 4)(w - 1)(3w - 5)
Step-by-step explanation:
Using Synthetic division to find the quotient on dividing p(w) by (w - 4)
4 | 3 - 20 37 - 20
12 - 32 20
-----------------------------
3 - 8 5 0 ← remainder = 0
quotient = 3w² - 8w + 5 = (3w - 5)(w - 1)
p(w) = (w - 4)(w - 1)(3w - 5)
juan needs to measure 6 cups of flour for a recipe.he only has a 1/4 cup measuring cup.how many times must he fill the measuring cup to get 6 cups of flour
Answer:
24
Step-by-step explanation:
1 time=1/4 cups
xtimes=6 cups
Cross multiply
6×1=x×1/4
6=x/4
Make x the subject of formula by cross multiplying
x=4×6
x=24
So the final answer is 24
What is the domain of y = csc(x)?
The domain of y = cosec(x) includes all real numbers except for the integer multiples of [tex]\pi[/tex], where the sine function equals zero and the cosecant function is undefined.
The domain of a function is the set of all possible input values (usually x values) for which the function is defined. In the case of y = cosec(x), the cosecant function is the reciprocal of the sine function, meaning cosec(x) = 1/sin(x). Since the sine of an angle can be zero and division by zero is undefined, the domain of y = cosec(x) must exclude any x values where sin(x) = 0.
The sine function is zero at integer multiples of [tex]\pi[/tex], so the domain of cosec(x) is all real numbers except for integer multiples of [tex]\pi[/tex]
Who likes online school and help please step by step
Answer:
135 cubic centimeters
Step-by-step explanation:
The formula for calculating volume of a triangular prism is 1/2×b×h×l (b: base, h: height, l: length)
1/2 × 5 × 9 × 6 = 135
Consider the standard normal curve given.
A graph shows the horizontal axis numbered 20 to 40. 30 is highlighted in an orange outline. Variance = 5 and is highlighted in an orange outline. The line shows an upward trend to from 20 to 30 then a downward trend from 30 to 40.
The mean is __.
The standard deviation is __.
The data point 37 is __ one standard deviation from the mean.
Answer:
mean: 30
standard dev: 5
the data point 37 is more than
Step-by-step explanation:
The mean is 30.
The standard deviation is 5
The data point 37 is more than one standard deviation from the mean.
What is a bell curve?
'A bell curve is the informal name of a graph that depicts a normal probability distribution. The bell curve is perfectly symmetrical. It is concentrated around the peak and decreases on either side. In a bell curve, the peak represents the most probable event in the dataset while the other events are equally distributed around the peak. The peak of the curve corresponds to the mean of the dataset.'
According to the given problem,
Since, the curve of the bell curve peaks at the mean, therefore, in the given bell curve, the curve peaks at 30.
The standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean. In the given bell curve, the points lie at a distance of 5. Therefore the standard deviation is 5.
The data point 37 is more than one standard deviation from the mean.
Since, the standard deviation is 5,
Mean = 30
Next Data Point = ( 30 + 5 )
= 35
Therefore the data point 37 is more than one standard deviation from the mean.
Hence, we can conclude, the bell curve has a mean of 30, standard deviation of 5 with the data point 37 being more than one standard deviation from the mean.
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Kyle performs a transformation on a triangle. The resulting triangle is similar but not congruent to the original triangle. Which transformation did Kyle perform on the triangle
Answer:
dilation
Step-by-step explanation:
The transformation that Kyle performed to make a triangle similar but not congruent is dilation. This changes the size of a figure, but not its shape.
Explanation:If a triangle undergoes a transformation and results in a similar but not congruent shape, it likely underwent a dilation. A dilation is a transformation that alters the size of a figure without changing its shape. Dilations can either reduce or enlarge a shape based on a scale factor. If the scale factor is greater than 1, the figure will enlarge. If it is less than 1, the figure will reduce.
For example, if Kyle dilated a triangle with a scale factor of 2, the triangle would double in size but still remain similar to the original triangle. However, because its size has increased, it is not congruent with the original triangle.
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Find the area of the following shapes:
WILL MARK BRAINLIEST PLEASE HELP ME! THIS IS FOR RSM I NEED HELP :(
Answer:
180
Step-by-step explanation:
Answer: 180mm squared
Step-by-step explanation: How to solve this problem is you have to break up the problem into different parts. The line CE splits it up. The part on the left of line CE has an area of 135 (9 x 15) and the part on the right is a little more tricky, we know AB is 15mm and DC is 9mm so we know CF has to be 6 because we subtract 15mm from 9mm. You probably know how to calculate the area of a triangle (15 x 6)/2 which is 45. 45 + 135 = 180. I also go to RSM! (what a coincidence)
What expression are factors of the quadratic function represented by this graph?
Answer:
x and (x − 6)
plz help me plz hurry What is the solution to the system of equations?
7 x minus 2 y = negative 24. 5 x + 5 y = 15.
Answer:
x=-2 y=5
Step-by-step explanation:
7x-2y=-24
5x+5y=15
35x-10y=-120
10x+10y=30
45x=-90
x=-2
-10+5y=15
5y=25
y=5
The solution of the equations is, x=-2 and y=5.
What is an equation?An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The given expressions are solved as below:-
7x-2y=-24
5x+5y=15
35x-10y=-120
10x+10y=30
45x=-90
x=-2
The second equation is solved as below:-
-10+5y=15
5y=25
y=5
Hence, the solutions are x=-2 and y=5.
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1-7 +100
????????????????????????????????????
Answer: 94
Step-by-step explanation:
1 - 7 + 100
We do the 1 - 7 first
1 - 7 = -6
-6 + 100 = 94
Answer:
94
Step-by-step explanation:
1-7=-6
-6+100=94
A student answered this story problem. Use estimation to check the student's answer. Lizzie has $49. Her older sister has $184. How much money do they have altogether? Student's answer: They have a total of $233. Which estimate is correct and was the student's answer reasonable?
Answer:No the student was not right.Neither of the estimations were right because she did not estimate at al.
Step-by-step explanation:
1.Round 49 to the nearest ten: 50.
2.Round 184 to the nearest ten:180.
3.Add 50+180 to get 230.
The student was not right because she did not estimate 49 nor 184.
Greg left work at 4:42 p.m. He had to go to the grocery store, the bank, and the car wash before going home. He got home at 6:17 pm. How long did it take Greg to run his errands?
It took Greg 95 minutes to run his errands.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To find the total time Greg spent running errands,
We need to calculate the difference between his departure time from work and his arrival time at home.
First,
We can convert both times to minutes past midnight to make the calculations easier.
So,
4:42 pm = 4 × 60 + 42 = 282 minutes past midnight
6:17 pm = 6 × 60 + 17 = 377 minutes past midnight
To find the time Greg spent running errands, we can subtract his departure time from his arrival time:
= 377 - 282
= 95 minutes
Therefore,
It took Greg 95 minutes to run his errands.
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