Answer:
0.3 is a Rational Number
Step-by-step explanation:
I'll give you 100 points if you answer this correctly!!
Make a table of ordered pairs for the equation.
y=−1/3x+4
Then plot two points to graph the equation.
Let's pose x as 0, 1, 2, and 3, substituting for y to receive the "ordered pairs"
y = - 1/3(0) + 4 = 0 + 4 = 4
y = - 1/3(1) + 4 = - 1/3 + 4 = - 1/7
y = - 1/3(2) + 4 = - 2/3 + 4 = 10/3
y = - 1/3(3) + 4 = - 1 + 4 = 3
Table of ordered pairs:
x | y
0 | 4
1 | - 1/7
2 | 10/3
3 | 3
Answer:
one point is at (0,4) and the other is (3,3)
Step-by-step explanation:
I took the k12 test
It costs Ruth $12.50 a week to wash and dry her clothes at the laundromat. If a
washer and dryer cost a total of $940, how many weeks will it take for Ruth's laundry
cost to equal the cost of the washer and dryer?
Answer: 75.2 per week
Step-by-step explanation:
A 76 weeks for Ruth's laundry cost to equal the cost of the washer and dryer.
To find out how many weeks it for Ruth's laundry cost to equal the cost of the washer and dryer, to set up an equation.
Let's assume it takes "x" weeks for Ruth's laundry cost to equal the cost of the washer and dryer.
In one week, Ruth's laundry cost is $12.50. Therefore, in "x" weeks, her total laundry cost would be 12.50 × x.
The cost of the washer and dryer is $940.
Now set up the equation:
12.50 × x = 940
To solve for "x," divide both sides of the equation by 12.50:
x = 940 / 12.50
x = 75.2
Therefore, it will take approximately 75.2 weeks for Ruth's laundry cost to equal the cost of the washer and dryer. Since the number of weeks cannot be fractional, round up the answer to the nearest whole number.
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10 + 6x = 15 + 9x – 3x
Answer:
No solution
Step-by-step explanation:
Step 1: Write equation
10 + 6x = 15 + 9x - 3x
Step 2: Solve for x
Combine like terms: 10 + 6x = 15 + 6xSubtract 6x on both sides: 10 ≠ 15Here, we see that x would equal no solutions. You can also think of it as parallel lines; they have the same slope but different y-intercepts, so they will never intersect.
Segment AB has endpoints on the coordinate grid where A is (-18,5) and B is (-4,5). Point Z is located exactly 1/8 of the distance from A to B. Determine the value of the x-coordinate of point Z.
Answer:
The coordinates of point Z is (-16.25, 5)
Step-by-step explanation:
The given information are;
The coordinates of the endpoint A on segment AB = (-18, 5)
The coordinates of the endpoint B on segment AB = (-4, 5)
Therefore, given that the endpoints A and B have the same y-coordinate value, (5), then segment AB is horizontal, and the length of segment AB = -4 - (-18) = -4 + 18 = 14
The point Z located at exactly 1/8 from A to B is given as follows;
[tex]Z = \left (-18 + (-4 - (-18)) \times \dfrac{1}{8} , \ 5 + (5 - 5)\times \dfrac{1}{8} \right ) = (-16.25, \ 5)[/tex]
The coordinates of point Z = (-16.25, 5).
Write an explicit formula for an, the nth term of the sequence 112, -28, 7, ....
Answer:
[tex]a_n=112\left(-\frac{1}{4}\right)^{n-1}[/tex]
Step-by-step explanation:
Geometric Sequences
There are two basic types of sequences: arithmetic and geometric. The arithmetic sequences can be recognized because each term is found as the previous term plus a fixed number called the common difference.
In the geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.
We are given the sequence:
112, -28, 7, ...
It's easy to find out this is a geometric sequence because the signs of the terms are alternating. If it was an arithmetic sequence, the third term should be negative like the second term.
Let's find the common ratio by dividing each term by the previous term:
[tex]\displaystyle r=\frac{-28}{112}=-\frac{1}{4}[/tex]
Testing with the third term:
[tex]\displaystyle -28*-\frac{1}{4}=7[/tex]
Now we're sure it's a geometric sequence with r=-1/4, we use the general equation for the nth term:
[tex]a_n=a_1*r^{n-1}[/tex]
[tex]a_n=112\left(-\frac{1}{4}\right)^{n-1}[/tex]
PLZ RESPOND ASAP
1:The total earnings from mowing a lawn for 3 hours is $19.50. What equation can be used to model the total earnings for mowing a lawn x hours?
2:The ratio of students to adults at a school is 14 : 2. Suppose there are a total of 490 students. How many adults are at the school?
Answer:6.5x=y
Step-by-step explanation:1- divide 19.50
2- get 6.5
3- add variable
4- get 6.5x=y
Answer:
1.) 3x = 19.50 (they got 6.5 and hour)
2.) 70 adults
Step-by-step explanation:
Work for #2
[tex]\frac{14}{2}[/tex] [tex]\frac{490}{x}[/tex] then cross multiply. 14*x = 14x 490*2 = 980
So 980 = 14x (divide by 14)
x = 70
So 70 adults
Hope this helps!!!
How many group's of 10 are there in 230?
Answer:
the answer is 23
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
if you do 230 divided by 10 you get 23, or you can distribute 230 in 10 groups.
What is the following difference? 56.4 – 27.39
Answer:
29.01
Step-by-step explanation:
You just have to do the math
The answer is
29.01
PLEASE HELP ME this is really hard please
Answer:
1100
2200
Step-by-step explanation:
Since speed is constant, the distance is proportional to the time. We notice that the number in the second column is 1650/3 = 550 times the number in the first column, so the two missing numbers are ...
2 × 550 = 1100
4 × 550 = 2200
Complete the equation describing how x and y are related. Please Help!!
Answer:
muddin
Step-by-step explanation:
ya put it in the but and pull out wit some fecal matter on it
What is the midpoint of a line segment with the endpoints of (-4, -4) and (6, 14)
(10, 18)
(2, 10)
(-1, 4)
(1, 5)
Answer:
The midpoint is ( 1,5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
( -4+6)/2 = 2/2 =1
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
( -4+14)/2 = 10/2 =5
The midpoint is ( 1,5)
Luis can do 78 up downs in 4 minutes. At this rate, how many
minutes will it take him to do 156 up
downs?
Answer:
i have no clue, sorry
Step-by-step explanation:
At a little-known vacation spot, taxi fares are a bargain. A 12-mile taxi ride takes 18 minutes and costs $7.20. You want to find the cost of a 46-mile taxi ride. What unit price do you need?
Answer:
unit cost in dollars per mile
Step-by-step explanation:
You are given cost, miles, and time for a certain trip.
You are asked the cost for a certain number of miles, so you need a unit cost of dollars per mile.
$7.20/(12 miles) = $0.60/mile
$0.60/mile * 46 miles = $27.60
By first finding the unit cost per mile, you can then find the cost of the 46-mile trip.
Answer:
0.40, mile
Step-by-step explanation:
because you had to multiply to get the total cost and then divide the number by the total cost.
Is the relationship proportional? Explain.
Answer:
What relationship??
Step-by-step explanation:
i need helppppp really fast I just need you to check my answer please
Answer:
You are correct, the answer is D, 24 degrees
Step-by-step explanation:
First we know that a straight line is 180 degrees. We know that part of it is 156 degrees so that must mean that one side of the triangle is equal to 24 degrees (Subtract 180-156). That is one side.
What number is the opposite of 165
Answer:
-165
Step-by-step explanation:
Answer:
-165 I think I'm not 100%
Clare is paid $90 for 5 hours of work. At this rate, how long will it take her to save $360?
Answer:
20 hours
Step-by-step explanation:
We can use a ratio to solve
90dollars 360 dollars
--------------- = -----------
5 hours x hours
Using cross products
90x = 5* 360
Divide each side by 90
90x/90 = 5 * 360/90
x = 20
20 hours
Mental Math Situation: You exercised 24 hours each month for a year. How many hours did you exercise by the end of the year? You may be able to do the math mentally thanks to expanded notation and the Distributive Property.
Answer:
So 24 hours each month times 12 would be 288 hours of working out of one year.
Hope this helps!
Step-by-step explanation:
Answer: 288h
Step-by-step explanation:
There are 12 months in a year if you exercise 24h per month you have to multiply 12 x 24 = 288h
find the missing value of X.
9514 1404 393
Answer:
x = 72
Step-by-step explanation:
The sum of interior angles of a pentagon is (5-2)(180°) = 3·180°. The sum of the two right angles is 180°, so we can write the equation ...
180° +2x° +x° +2x° = 3·180°
5x = 2·180 = 360 . . . . divide by °, subtract 180
x = 360/5 = 72 . . . . . . divide by 5
The value of x is 72.
What is the value of 7/3 divided by 5/6
Answer:
14/5 or 2.8
Step-by-step explanation:
Answer:
2.8 or 2 4/5
Step-by-step explanation:
0.7 bigger than 7/9 ?
Answer: no it’s the opposite
Step-by-step explanation: 7/9is greater than 0.7
HELP PLZZ ASAP WILL GIVE 50 POINTS
Adrienne said that a vertical stretch by a factor of 4, a horizontal shift to the left 1 unit, and a vertical shift down 3 units of the graph of the parent function f(x)=ex produce the graph of the function g(x)=4ex−1+3. Explain whether Adrienne is correct and, if not, determine the transformations that produce the graph of the function g(x)=4ex−1+3 from f(x)=ex.
Answer:
known facts:
The graph of y=f(x−a), a>0
y=fx-a, a>0
can be obtained by shifting graph y=f(x)
y=fx, a units right side of x-axis. The graph of y=f(x)+a, a>0 y= fx+ a,a>0
can be obtained by shifting graph y=f(x)
y=fx, a units upwards along y-axis.
Adrienne said:
a vertical stretch by a factor of 4, a horizontal shift to the left 1 unit and a vertical shift down 3 units of the graph of the parent function f(x)=ex
f(x)=e^x
produce the graph of the function g(x)=4ex−1+3
g(x)=4e^x-1+3.
by the above known facts, it can be concluded that
Adrienne is not correct
Step-by-step explanation:
i hope this helps you, i'm still doing it but i have to go for a min, one sec! <3
the correct transformations for the function g(x) = 4eˣ - 1 + 3 from the parent function f(x) = eˣ are:
- Vertical Stretch by a factor of 4.
- Horizontal Shift to the Right 1 unit.
- Vertical Shift Down 3 units.
Adrienne's statement about the transformations applied to the parent function f(x) = eˣ is not entirely correct. Let's analyze the given function g(x) = 4eˣ - 1 + 3 and determine the correct transformations.
1. Vertical Stretch by a factor of 4: This transformation is correct. Multiplying the function by 4 causes a vertical stretch, which magnifies the y-values by a factor of 4.
2. Horizontal Shift to the Left 1 unit: Adrienne incorrectly mentioned a horizontal shift to the left. In the given function, g(x), there is no explicit horizontal shift. The -1 in g(x) = 4eˣ - 1 + 3 is actually a reflection of the graph across the y-axis, causing a horizontal shift to the right by 1 unit. So, there is a horizontal shift to the right by 1 unit, not to the left.
3. Vertical Shift Down 3 units: This transformation is correct. Adding 3 to the function shifts the graph vertically downward by 3 units.
Therefore, the correct transformations for the function g(x) = 4eˣ - 1 + 3 from the parent function f(x) = eˣ are:
- Vertical Stretch by a factor of 4.
- Horizontal Shift to the Right 1 unit.
- Vertical Shift Down 3 units.
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what’s 2/3 times 1/8????
Answer:
0.0833333333, or 1/12
Step-by-step explanation:
step 2 Multiply both numerators
= 2 x 1
= 2
step 3 Multiply both denominators
= 3 x 8
= 24
step 4 Use above values of step 2 & 3, and rewrite as below
= 2/24
Thus, 2/24 is equivalent fraction for 2/3 times of 1/8, and its simplified term is 1/12.
Hope this helps!
-Jerc
Convert 40 g to mg
Plz help me
Answer:
40000 milligrams
Hope it helps :)
What number falls between 7 and 8 on the number line.
an object starts from rest and accelerates at a rate of 4 m/s^2 for 3 seconds. What is its displacement from the start position?
what is 2400000 in standard form
Answer:
24*10^5
Step-by-step explanation:
Answer:
2400000 is already in its standard form.
But its form in scientific notation is
2.4 × 10^6
Step-by-step explanation:
Count the zeros until you reach between 2 and 4 then put a decimal point there.
what value of y will make the equation true?
If two numbers are multiplied in any order , product will be the same. True or False
Answer:
True
Step-by-step explanation:
Un padre está usando una manguera de jardín para llenar una pequeña piscina inflable para su hijo pequeño. La piscina tiene una capacidad de 90 galones. Apaga el agua después de 5 minutos, pero deja la manguera en la piscina durante otros 3 minutos antes de guardarla. En esta situación, la relación entre los galones de agua en la piscina y los 8 minutos desde que el padre comenzó a llenar la piscina puede verse como una función. 1. En esa función, ¿qué variable es independiente? ¿Cuál es dependiente?
Answer:
Water is being collected at the rate of 11.25 gallon per minute.
Step-by-step explanation:
In this function the filling of water in the pool is dependent on the number of minutes. The more time the tap is opened the greater amount of water can be accumulated in the pool .
So time is independent and water is the dependent variable.
The function can be represented by
f(x)= xt where t is the time in minutes
90 gallons= x * 8 minutes
or x= 90/8 = 11.25 gallon per minute.
So water is being collected at the rate of 11.25 gallon per minute.
Spanish
En esta función, el llenado de agua de la piscina depende de la cantidad de minutos. Cuanto más tiempo se abre el grifo, mayor cantidad de agua se puede acumular en la piscina.
Entonces el tiempo es independiente y el agua es la variable dependiente.
La función se puede representar por
F (x) = xt donde t es el tiempo en minutos
90 galones = x * 8 minutos
o x = 90/8 = 11,25 galones por minuto.
Entonces, el agua se recolecta a una velocidad de 11.25 galones por minuto.