Answers
Answer:
Statement 1 & Statement 3
Step-by-step explanation:
4 ÷ 10/3
4 × 3/10
12/10
6/5
f(x + 1) = (6/5) × f(x)
f(x) = (10/3) × (6/5)^(x-1)
f(x) = (10/3) × (5/6) × (6/5)^x
f(x) = (25/9) × (6/5)^x
The domain is all natural numbers and the range is real numbers
Step-by-step explanation:
Step 1: Find the correct answer
Option A is correct because if you plug in the numbers...
[tex]f(0 + 1) = \frac{10}{3}[/tex] → [tex]f(1)=\frac{10}{3}[/tex]
[tex]f(1 + 1) = \frac{6}{5} * \frac{10}{3}[/tex] → [tex]f(2)=4[/tex]
[tex]f(2 + 1) = \frac{6}{5} * \frac{4}{1}[/tex] → [tex]f(3) = \frac{24}{5}[/tex]
[tex]f(3 + 1) = \frac{6}{5} * \frac{24}{5}[/tex] → [tex]f(4) = \frac{144}{25}[/tex]
Also, Option C is correct because if you plug in the numbers...
[tex]f(1) = \frac{10}{3}(\frac{6}{5})^(^1^-^1^)[/tex] → [tex]f(1) = \frac{10}{3} * 1[/tex] → [tex]f(1)=\frac{10}{3}[/tex]
[tex]f(2) = \frac{10}{3}(\frac{6}{5})^(^2^-^1^)[/tex] → [tex]f(2) = \frac{10}{3}*\frac{6}{5}[/tex] → [tex]f(2) = 4[/tex]
[tex]f(3) = \frac{10}{3}(\frac{6}{5})^(^3^-^1^)[/tex] → [tex]f(3) = \frac{10}{3}*\frac{36}{25}[/tex] → [tex]f(3) = \frac{24}{5}[/tex]
[tex]f(4) = \frac{10}{3}(\frac{6}{5})^(^4^-^1^)[/tex] → [tex]f(4) = \frac{10}{3} * \frac{216}{125}[/tex] → [tex]f(4) = \frac{144}{25}[/tex]
The reason why option B is not correct is because when you plug in a number, the output is incorrect. The reason why Option D is not correct is because the domain does not include negative numbers which means that the domain is all natural numbers. The reason why Option E is not correct is because the range is all real numbers and not just natural/positive numbers.
Answer: Options A, C
Related Questions
By what percent will the product of two numbers decrease if one of them is decreased by 20% and the other is decreased by 60%?
Answers
Answer:
We have:
P1 = a x b
If a decreases by 20% and b decreases by 60%, then we have:
P2 = a x (100 - 20)/100 x b x (100 - 60)/100
= a x 80/100 x b x 40/100
= a x b x 8/25
=> P1 - P2 = ab - (8/25)ab = (17/25)ab
=> If a decreases by 20% and b decreases by 60%, product of a and b would decrease 17/25 = 0.68%
Hope this helps!
:)
Answer:
68
Step-by-step explanation:
RSM again
a location in space represented by a dot is called
Answers
Answer:
Point
Step-by-step explanation:
A point specific location or place, seen as a spatial position, it is represented by a dot.
A hat contains four balls. The balls are numbered 2, 4, 4, and 5. One ball is randomly selected
and not replaced, and then a second ball is selected. The numbers on the two balls are added
together.
A fair decision is to be made about which of three sizes of ice cream cone will be ordered, using
the sum of the numbers on the balls. The sizes are small, medium and large.
Which description accurately explains how a fair decision can be made in this situation?
If the sum is 6 or 7 small cone will be ordered. If the sum is 8medium cone will be ordered. If the sum is 9, a large cone will be ordered
If the sum is 6 or 9. a small cone will be ordered If the sum is 7 a medium cone will be ordered If the sum is 8 large cone will be ordered
the sum is 6, a small cone will be ordered . the sum is 7 or 8 , a medium cone will be ordered. If the sum is 9, a large cone will be ordered.
If the sum is 6, a small cone will be ordered . If the sum is 7 or 9, a medium cone will be ordered If the sum is 8 a large cone will be ordered
Answers
Answer:
C) If the sum is 6, a small cone will be ordered . the sum is 7 or 8 , a medium cone will be ordered. If the sum is 9, a large cone will be ordered
Step-by-step explanation:
If the sum is a 6: (2+4) or (4+2)
P(6) = (2 is first picked)(4 is picked next) + (4 is first picked)(2 is picked next)
[tex] P(6)= (\frac{1}{4})(\frac{2}{3}) +(\frac{2}{4})(\frac{1}{3})[/tex]
[tex] P(6) =\frac{2}{12} + \frac{1}{6} = \frac{1}{3} [/tex]
If the sum is a 7: (2+5) or (5+2)
P(7) = (2 is first picked)(5 is picked next) + (5 is first picked)(2 is picked next)
[tex] P(7)= (\frac{1}{4})(\frac{1}{3}) +(\frac{1}{4})(\frac{1}{3})[/tex]
[tex] P(7) =\frac{1}{12} + \frac{1}{12} = \frac{1}{6} [/tex]
If the sum is a 8: (4+4)
[tex] P(8)= (\frac{2}{4})(\frac{1}{3})=\frac{1}{6}[/tex]
If the sum is a 9: (4+5) or (5+4)
P(9) = (4 is first picked)(5 is picked next) + (5 is first picked)(4 is picked next)
[tex] P(9)= (\frac{2}{4})(\frac{1}{3}) +(\frac{1}{4})(\frac{2}{3})[/tex]
[tex] P(9) =\frac{1}{6} + \frac{1}{6} = \frac{1}{3} [/tex]
[tex] P(6) = \frac{1}{3} [/tex]
[tex] P(7) = \frac{1}{6} ;P(8) = \frac{1}{6} [/tex]
[tex]P(7) or P(8) = \frac{1}{6} + \frac{1}{6} = \frac{1}{3} [/tex]
[tex] P(9) = \frac{1}{3} [/tex]
Therefore, if the sum is 6, a small cone will be ordered . the sum is 7 or 8 , a medium cone will be ordered. If the sum is 9, a large cone will be ordered
On a survey, 3 out of every 8 band members prefer listening to jazz music.
Based on the survey, how many out of 240 band members would prefer listening to jazz music?
A. 65
B. 90
c. 144
d. 175
Answers
Answer:
B.) 90
Step-by-step explanation:
Since the ratio is 3:8, the fraction would look something like the following.:
[tex]\frac{3}{8} =\frac{?}{240}[/tex]
We know that there are 240 band members in this scenario. What do you multiply 8 by to get 240? 30.
[tex]\frac{3*30}{8*30} =\frac{90}{240}[/tex]
To solve the problem, we set up a proportion, 3/8 = x/240. Solving for 'x', we find that 90 out of 240 band members would prefer listening to jazz music, so the correct answer is B (90).
Explanation:This problem concerns proportions. In the survey, it is stated that 3 out of 8 band members preferred listening to jazz. To find out how many out of 240 would prefer jazz, we set up and solve a proportion. Our proportion is 3/8 = x/240, where 'x' is the number of band members we need to find.
To solve for 'x', we cross-multiply 3*240 = 8x. This gives 720 = 8x. Then divide by 8, and we get x = 90. So, 90 out of 240 band members would prefer listening to jazz music.
Therefore, option B (90) is correct.
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write the equation of a Line In slope-intercept form with the Y intercept at the origin and a slope of 2
Answers
Slope Intercept Form: y = mx + b
Slope: 2
Y-Intercept: 0
Therefore, the slope intercept form of the given values would look like this:
y = 2x + 0 or just y = 2x
Have a great day!
Answer:
y=2x+0
Step-by-step explanation:
y=mx+b, your slope (m) is 2 and your y intercept (b) is 0, so just plug it in
Kevin went to see his favorite sport team play. His car can go 400 miles on one tank of gas. If he used 30% of a full tank of gas, how many
miles did he travel?
Answers
Answer:
400 x 0.3 = 120 miles
120 miles would be your answer
Step-by-step explanation:
Answer:
He traveled 120 miles
Step-by-step explanation:
400/10=40
40x3=120
so if 10% of 400 is 40, then 30% is 120
Need help with this one
Answers
Answer:
10
Step-by-step explanation:
2 times 5 is 10
Answer:
part A: 1/2
Step-by-step explanation:
1/2 + 1/2 = 2/2 or 1 whole
Which triangle can be solved using the law of sines?
Answers
The triangle C can be solved using the law of sines.
What is the law of sines?
'The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.'
According to the given problem,
We know,
Law of sines = [tex]\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}[/tex]
In triangle C,
Third angle = 180 - ( 70 + 30 )
= 180 - 100
= 80°
⇒ [tex]\frac{10}{sin30 }= \frac{b}{sin70} =\frac{c}{sin80}[/tex]
⇒ [tex]\frac{10}{sin30}= \frac{b}{sin70}[/tex]
⇒ 20 × 0.9396 = b
⇒ b = 18.8 m
⇒ [tex]\frac{10}{sin30}=\frac{c}{sin80}[/tex]
⇒ 20 × 0.9848 = c
⇒ c = 19.7 m
Hence, we can conclude that tringle C can be solved using the law of sines.
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Answer:
D: The fourth one
Step-by-step explanation:
The Law of Sines can be used to solve for the missing lengths or angle measurements in an oblique triangle. An oblique triangle is a triangle where two of the angles and one of the sides are known.
multiply 4 times 7/8 and then add 12
Answers
Answer: Its egual to 4
Step-by-step explanation: 5times 8 over 10 =4o divide is by 10
10 divide it by 10
=4
Problemas completed 1/3
Problem: PRABABFV
4. Rocky the collie ate 3 cups of dog food each day for two weeks. How much dog food did Rocky eat in
that time?
Answers
Answer:
42 cups of dog food.
Step-by-step explanation:
Rocky ate 3 cups of dog food each day for two weeks, there's 7 days in a week, if you multiply 14 ( number of days in 2 weeks) and 3( the number of dog food each day) you would get 42 because 7 days are in 1 weeks and if you add another 7 days, you would get 14 days and by multiplying that by 3, the dog food Rocky ate each day, you would get 42, the answer to your question. Hope this answers your question!
easy 6th-grade math question
Answers
Answer:
The answer has to be 4
Step-by-step explanation:
x is greater than 1/4
Create a list of steps, in order, that will solve the following equation.
2
(
x
+
2
)
2
−
5
=
93
Answers
To solve 2(x + 2)^2 - 5 = 93, add 5 to both sides, divide by 2, take the square root of both sides, and finally subtract 2 to find x = 5 and x = -9.
To solve the equation 2(x + 2)^2 - 5 = 93, follow these steps:
First, add 5 to both sides of the equation to isolate the squared term: 2(x + 2)^2 = 98.
Divide both sides of the equation by 2 to get: (x + 2)^2 = 49.
Take the square root of both sides of the equation: x + 2 = 7. Remember that taking the square root yields two possible solutions.
Subtract 2 from both sides to solve for x: x = 5 and x = -9.
Therefore, the solutions to the equation are x = 5 and x = -9.
The circle at the right represents a planet. The radius of the planet is about 6300 km. Find the distance d to the horizon that a person can see on a clear day from the following height h above the planet.
h=4 km
Answers
Answer:
224.54 km
Step-by-step explanation:
A right triangle is formed, where h + r = 4 + 6300 = 6304 km is the hypotenuse, r = 6300 km is one leg and d is the other leg. By Pythagorean theorem:
6304² = 6300² + d²
d² = 6304² - 6300²
d = √50416
d = 224.54 km
Answer: 221.8
Step-by-step explanation: Because I followed the one below and it was wrong
What is the equation of a line that contains the points (5,0) and (5,-2)?
X=5
x=0
y=0
y=5
Answers
Answer:
x = 0
Step-by-step explanation:
If you do the equation y2 - y1 over x2 - x1 you get 0 and the x intercept is 5 y=0×5 = 0
Order each set of integers from greatest to least
(8, 43, -25, 12, -14, 3)
(-8, 32, 55, -32, -19, -3)
(-100, -89, -124, -69, -52)
(6, 17, -20, -19, 26)
Answers
The ordered sets are: (43, 12, 8, 3, -14, -25), (55, 32, -3, -8, -19, -32), (-52, -69, -89, -100, -124), and (26, 17, 6, -19, -20).
To order each set of integers from greatest to least, we start by identifying the largest integer in each set and then follow with the next largest until we reach the smallest integer. Let's order the provided sets one by one:
For the set (8, 43, -25, 12, -14, 3), the order from greatest to least is: 43, 12, 8, 3, -14, -25.
The set (-8, 32, 55, -32, -19, -3) ordered from greatest to least is: 55, 32, -3, -8, -19, -32.
Ordering the set (-100, -89, -124, -69, -52) from greatest to least gives us: -52, -69, -89, -100, -124.
Finally, the set (6, 17, -20, -19, 26) ordered from greatest to least is: 26, 17, 6, -19, -20.
By comparing the positive and negative integers, we determine their placement in the sequence from greatest to smallest.
Find a polynomial P(x) with the zeros x=2, −(2), √3, −√3
Answers
Answer:
P(x) = [tex]x^{4}[/tex] - 7x² + 12
Step-by-step explanation:
Given zeros x = 2, x = - 2, x = [tex]\sqrt{3}[/tex], x = - [tex]\sqrt{3}[/tex]
Then the factors are (x - 2), (x + 2), (x - [tex]\sqrt{3}[/tex] ), (x + [tex]\sqrt{3}[/tex] )
and the polynomial is the product of the factors, that is
P(x) = (x - 2)(x + 2)(x - [tex]\sqrt{3}[/tex] )(x + [tex]\sqrt{3}[/tex] ) ← expand in pairs using FOIL
= (x² - 4)(x² - 3) ← distribute
= [tex]x^{4}[/tex] - 3x² - 4x² + 12 ← collect like terms
= [tex]x^{4}[/tex] - 7x² + 12
Determine the graph foci and asymptote equation of x^2/4-y^2=1
Answers
Answer:
B)
Foci: ((sqrt5),0),((-sqrt5),0)
Asymptotes: y=((1/2)x), y=((-1/2)x)
Step-by-step explanation:
Same rule with x before y as I mentioned in the other problem to identify the graph.
Answer: A. (THE FIRST GRAPH)
here's ss so you can see that it's correct + the top two graphs that were cut off in the question :)
On your own paper, graph the coordinates of quadrilateral ABCD.
● A(-3, 0)
● B(2, 4)
● C(6, -1)
● D(1, -5)
A) Identify what type of quadrilateral ABCD will be and give an explanation of your response. You must also justify it algebraically by showing your work to support your response.
B) What is the perimeter and area of quadrilateral ABCD?
Answers
Answer:
A) Square
B) Perimeter: 4sqrt(41) units
Area: 41 units²
Step-by-step explanation:
AB and CD are parallel because both have the same gradient:
AB: (-3-2)/(0-4) = 5/4
CD: (6-1)/(-1--5) = 5/4
AD and BC are parallel because both have the same gradient:
AD: (-3-1)/(0--5) = -4/5
BC: (6-2)/(-1-4) = -4/5
Since (5/4) × (-4/5) = -1
All angles are 90 (Perpendicular)
Lengths
CD = AB = sqrt[(-3-2)²+(0-4)²] = sqrt(41)
BC = AD = sqrt[(6-2)²+(-1-4)²] = sqrt(41)
Therefore all sides are equal in length
Hence it's a square
Perimeter = 4s = 4sqrt(41) units
Area = s² = [sqrt(41)]² = 41 units²
If you flip a coin and roll a 6-sided die, what is the probability that you will flipa heads and roll a 2
Answers
Answer:
The Probabilty that you will flip a heads is 50% and the Probabilty that you will roll a 2 is 16.
Step-by-step explanation:
A coin has 2 sides Heads and Tails, so it's 50-50.
A coin has 6 sides.
100/6=16%
What are the intercepts of the graphed function?
x- intercept = (-1,0)
y- intercept = (-3,0)
x- intercept = (0,1)
y- intercept = (0,-3)
x- intercept = (0,-1)
y- intercept = (-3,0)
x- intercept = (-1,0)
y- intercept = (0,-3)
Answers
Answer:
x-intercept = (-1,0)
y-intercept = (0,-3)
Step-by-step explanation:
The intercepts of a function are points where the graph intersects the x-axis or y-axis. The valid x-intercepts from the provided list are (-1,0) and (0,-1), and the valid y-intercepts are (-3,0) and (0,-3). The points (0,-1) and (0,-3) serve both as an x and y-intercept.
Explanation:The intercepts of a graphed function are the points at which the graph intersects the x-axis or the y-axis. These are key in understanding the behaviour of a function.
The x-intercept is the point where the graph cuts the x-axis and has a coordinate in the form (a, 0), where 'a' is a real number. In your list of intercepts, the valid x-intercepts are (-1,0) and (0,-1). Noting that (0,-1) is a special case where it also serves as a y-intercept.
In contrast, the y-intercept is the point where the graph intersects the y-axis. It has a coordinate in the form (0, b), where 'b' is a real number. From your list, the valid y-intercepts are (-3,0) and (0,-3). Similarly to the above, (0,-3) is a special case where it also serves as an x-intercept.
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|BRAINLIEST|
Aisha divides 1/5 meter of ribbon into 2 equal pieces. What is the length of each piece of ribbon? Enter your answer as a fraction in simplest form by filling in the boxes.
Answers
Answer:
24
Step-by-step explanation:
Answer:
1/10
Step-by-step explanation:
1/5 divided by 2 = 1/5 * 1/2
We have to flip 2/1 around, so you get 1/2
So 5*2=10
The answer is 1/10
Hope this is helpful :3
Bryna has $300 to open a checking account. She wants an account with the least amount of fees. She does not plan on using an ATM and her employer offers direct deposit.
Answers
Answer:
its c
Step-by-step explanation:
hope i helped :]
Answer:
answers c
Step-by-step explanation:
because i took the test
Find the next three terms of the sequence
6,12,18,24,
Answers
6, 12, 18, 24, 28, 26, 20
Explanation: It’s adding by 6, add by 6 every number.
Peter needs to wash 20 plates, 30 pieces of silverware, and 10 cups. Then he
needs to dry them all. How many items will he touch, if he touches each of them
twice, once to wash and once to dry?
dishes were touched
Answers
Answer:
120
Step-by-step explanation:
Answer:
120 times
Step-by-step explanation:
20 + 30 + 10 = 60
60 * 2 = 120
The parallelogram shown below has an area of 140 units^2. The base is twelve and the side is 10 help this is so hard.
Answers
Answer:
height = 11.67 units
Step-by-step explanation:
A parallelogram is a quadrilateral with 2 pairs of parallel sides. This means opposites sides are parallel to each other. Opposite angles and sides are congruent.
From your question the base of the parallelogram is given as 12 units and the sides is 10 units. The area of the parallelogram is given as 140 units². What is left is the height of the parallelogram.
Using the formula for finding the area of a parallelogram, the height can be found.
area of a parallelogram = base × height
base = 12 units
height = ?
area = 140 unit²
area of a parallelogram = base × height
let
h = height
140 = 12h
divide both sides by 12
h = 140/12
h = 11.6666666667 units
height = 11.67 units
A right rectangular prism has a length of 1.75 inches, a width of 2 inches, and a height of 1.5 inches.
A prism has a length of 1.75 inches, height of 1.5 inches, and width of 2 inches.
What is the greatest number of cubic inches that could fit inside the prism?
You could fit (*Blank*) cubic inches inside the prism.
Answers
Answer:
You could fit 5.25 cubic inches inside the prism.
Step-by-step explanation:
In order to calculate the number of cubic inches that could fit in the prism we first need to calculate it's volume, this is given by the formula below:
volume = length*width*height
Applying the data from the question:
volume = 1.75*1.5*2
volume = 5.25 inches³
Thefore you could fit 5.25 cubic inches inside the prism.
Answer: You could fit 5.25 cubic inches inside the prism.
Step-by-step explanation:
Hi, to answer this question we have to calculate the volume of the rectangular prism:
Volume (V) = Length x width x height
Replacing with the values given:
V = 1.75 in x 2 in x 1.5 in
Solving for V:
V = 5.25 cubic inches
You could fit 5.25 cubic inches inside the prism.
Feel free to ask for more if needed or if you did not understand something.
Solve for z -
-4.75 = z/2 (z/2 is a fraction)
z = ____
Answers
Answer:
z= -9.5
Step-by-step explanation:
To solve for z, we need to get z by itself.
-4.75=z/2
z is being divided by 2. To undo this, multiply both sides by 2, since multiplication is the opposite of division. This will cancel out the 2 on the right, and leave z by itself.
2*-4.75=z/2*2
-9.5=z
So, z= -9.5
Final answer:
To solve for z in the equation -4.75 = z/2, multiply both sides by 2, which yields z = -9.5
Explanation:
To solve for z in the equation -4.75 = z/2, we need to isolate z. We can do this by multiplying both sides of the equation by 2. Doing so gives us:
-4.75 × 2 = (z/2) × 2
-9.5 = z
So, z = -9.5
Re-write the equation after you distribute
and combine all the like terms.
12-4(-3x+5)-8x=20
Answers
Look at the attached picture ⤴
Hope it will help u...
y=25x+35
Describe what this graph would look like. Where would it start? How would the slope be counted out?
Answers
Answer:
The equation is in the form y=mx+b, where m=slope, b=y-intercept.
The y-intercept is 35: so the line goes through the y-axis at (0,35).
The slope is 25: so we need to count out the slope as rise over run, or 25 up and 1 to the right, starting from the y-intercept.
M is slope. b is y-intercept
The graph would start at 35 (y-int)
The slope would be counted as 25/1... aka, 25 up, 1 right.
In trapezoid $WXYZ$, $\overline{XY} \parallel \overline{WZ}$, $\angle WXZ = 105^\circ$, $\angle W = 43^\circ$, and $\angle Y = 141^\circ$. Find $\angle YXZ$, in degrees.
Answers
Answer:
32 degrees
Step-by-step explanation:
The diagram of the problem is drawn and attached.
In Triangle WXZ
105+43+[tex]\angle WZX[/tex]=180 (Sum of Angles in a Triangle)
148+[tex]\angle WZX[/tex]=180
[tex]\angle WZX[/tex]=180-148
[tex]\angle WZX[/tex]=32 degrees
Since |XY|//|WZ| (parallel to)
[tex]\angle WZX[/tex]=[tex]\angle YXZ[/tex] (Alternate Angles)
Therefore:
[tex]\angle YXZ[/tex]=32 degrees