Answer:
f(x)= .5x + 2
Step-by-step explanation:
Now this is not to complicated
first the constant is 2
after each day she gains .5 miles
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation to represent the nth term of the sequence is y=0.5x+2.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
Let the distance travelled by Susie in any week,x be represented by y.
Given that Susie will run 2 miles in the initial or in the first week. Therefore, the distance for the initial work week will be,
Initial distance = y-intercept = c = 2
Further, if the daily distance is increased by half a mile each of the following weeks. Therefore, the slope of the equation is the change in the distance, therefore, we can write,
Slope, m = Change in the distance = 0.5
Now, if the equation represents the nth term of the sequence, then we can write,
y = mx + c
y = 0.5x + 2
Hence, the equation to represent the nth term of the sequence is y=0.5x+2.
Learn more about Equation of Line here:
https://brainly.com/question/21511618
#SPJ5
The value of -2 is_________the value of 1.5 because-2 lies to the__________of 0 and 1.5 lies to the_________of 0 on the number line.
Answer:
The value of -2 is LESS THAN the value of 1.5 because -2 lies to the LEFT of 0 and 1.5 lies to the RIGHT of 0 on the number line
Step-by-step explanation:
Samuel bought a cement mixer for $54,205. The value of the cement mixer depreciated at a constant rate per year. The table shows the value of the cement mixer after the first and second years: Year 1 2 Value (in dollars) 47,158. 35 41,027. 76 Which function best represents the value of the cement mixer after t years? f(t) = 47,158. 35(0. 87)t f(t) = 54,205(0. 13)t f(t) = 47,158. 35(0. 13)t f(t) = 54,205(0. 87)t.
The value of cement mixer after t year is [tex]f(t) = 54,205(0. 87)^{t}[/tex]
Given to us
The value of cement mixer when bought, [tex]P[/tex]= $ 54,205
the value of cement mixer after 1 year, [tex]P_1[/tex]= $ 47,158. 35
the value of cement mixer after 2 year,[tex]P_2[/tex]= $ 41,027. 76
To find out depreciation we can use the formula for depreciation,
[tex]P_n= P(1-r)^n\\where,\\P_n= Value\ of\ asset\ after\ n\ year\\P= Value\ of\ asset\ when\ bought\\r= rate\ of\ depreciation\\n= number\ of\ years[/tex]
By putting the value, in the formula we get,
[tex]P_1= P(1-r)^n\\\\47,158.35= 54,205\times (1-r)^1\\\\\dfrac{47,158.35}{54,205} = (1-r)\\\\0.87=1-r\\\\r=0.13[/tex]
Therefore, putting the value of [tex]r[/tex] and [tex]P[/tex] in depreciation formula for [tex]t[/tex] years we get,
[tex]P_n= P(1-r)^n[/tex]
[tex]f(t) = 54,205(0. 87)^{t}[/tex]
Hence, the value of cement mixer after t year is [tex]f(t) = 54,205(0. 87)^{t}[/tex].
To know more visit:
https://brainly.com/question/3023490
Plz help me give me answer
Answer:
3
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Help help hep math math
Answer:
96
Step-by-step explanation:
C=πd
C=?
π=3
d=32
C=3×32
Therefore C=96
Are the ratios 12:6 and 2:1 equivalent?
Answer:
no
Step-by-step explanation:
https://brainly.com/question/18232055
Answer:
Yes!
Step-by-step explanation:
Here, ratios can be rewritten by fractions.
12:6 is [tex]\frac{12}{6}[/tex] which equals to 2,
2:1 is also [tex]\frac{2}{1}[/tex] which is 2.
To get 12 from 2, you multiply by 6.
Multiply the same thing to the denominator(1), and you get 6. So:
12:6 = 2:1
The volume of a cylinder is 5401 cubic meters and the height is 15 meters. Find the length of the diameter of the cylinder.
Answer:
12
Step-by-step explanation:
Volume= pi x radius squared x height
substitiute values
540π= π x r^2 x 15
divide 540π by π and 15
so thats 36= radius squared
so the radius is 6 as 6 squared is 36
so the diameter is radius x2
so the answer is 12
Hey y’all,please help me :)
Answer:
-c-4≥8
Step-by-step explanation:
Just ask!
Hope this helps. :)
moira solved rubik's cube in 3 minutes and 30 seconds. what is moira's solving rate?
In the context of rubiks cube solving the rate at which one can solve a rubiks cube is determined by the number of cubes solved and the time taken
In this question we were told that moira solved a rubiks cube in 3 minutes 30 seconds
Let us convert time total time to seconds
3 minutes 30 in seconds = 3*60+ 30 = 180+30 = 210 seconds
Hence Moira rate = 1 rubiks cube/210 seconds
Learn more about rate:
https://brainly.com/question/25184007
It’s multiplication and I need help
Answer:
tell me the question
Step-by-step explanation:
please mark me as brainlest
please help asap!!!!
Answer:
justin biberis black
Step-by-step explanation:
Which of these equals 2.427? Select all that apply. A 1.34 + 1.087 B 1.4 + 1.027 C 8.35 - 5.923 - D 6 - 3.573. Please help I'm doing my homework
Answer:
All of them are equal to 2.427
Step-by-step explanation:
A = 2.427
B = 2.427
C = 2.427
D = 2.427
kayla and Jane helped Mr.John fit kids in the auditorium. There was 603 kids,and each row can fit 31 kids. How many rows do they need to use?
Answer:
Around 19 rows
Step-by-step explanation:603/31= 19.40 so I'm not too sure
3.74 = 0.4n + 2.5
What value of n makes the equation TRUE?
The value of n for the equation to be true is n = 3,1
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be A , 3.74 = 0.4n + 2.5
Now ,
3.74 = 0.4n + 2.5
Subtracting 2.5 on both sides of the equation , we get
0.4n = 3.74 - 2.5
0.4n = 1.24
Divide by 0.4 on both sides of the equation , we get
n = 3.1
Therefore , n = 3.1
Hence , the value of n for the equation to be true is n = 3.1
To learn more about equation click :
https://brainly.com/question/10413253
#SPJ6
Mrs. Thomas had 18 cups of popcorn. She wanted to separate them into bags that were cup bags. How many bags can she make?
Answer:
the answer would be 3 bags of 6
a package of 9 batteries cost $4.72 what is the cost per battery
Answer: 1.90
Step-by-step explanation:
9/4.72= 1.90
Answer:
1.90
Step-by-step explanation:
9/4.72= 1.90
Write an inequality of the form Ax + B ≤ C to represent the word problem using your answers for A, B, and C. Solve the inequality and show your work.
a=8
b=10
c=60
Which best describes the transformation(s) from f(x) to g(x) ? A. Vertical shift down 2, less steep B. Vertical shift down 4, less steep C. Vertical shift down 4, double the slope D. Half as steep
Answer:
b
Step-by-step explanation:
ive never seen the word less than steep used but ik none of the other ones are right and that it moves down vertically by 4
Helen has been sick and only able to work on a part time basis what type of disability may she be eligible for? What percentage should she expect the insurance policy to pay
The percentage of the amount which should be expected to be paid from the insurance policy based on the part time work Helen has been doing is:
Two-thirds of their average weekly wageBased on the given question, we can see that partial disability benefit is the theme in play here as Helen has been sick and been working on a part time basis which helps her to be eligible for partial disability benefit.
Under this type of disability benefit, Helen is entitled to get about two-thirds of her average weekly wage because she is working part time because of her disability which is her sickness.
Read more about insurance policy here:
https://brainly.com/question/24441770
find the perimeter and area?
Answer:
P = 51 units
A = 137 units^2
Step-by-step explanation:
P = 5+5+7+11+7+16 = 51 units
A = 5x5 + 16x7 = 137 units^2
Hope that helps
What are the solutions to the equation ( 5 x − 15 ) 2 = − 100 ?
Answer:
x = -7
Step-by-step explanation:
( 5 x − 15 ) 2 = − 100
10x - 30 = - 100
10x = -70
x = -7
Answer:
x = -7
Step-by-step explanation:
[tex]\left(5x-15\right)\cdot \:2=-100\\\\\frac{\left(5x-15\right)\cdot \:2}{2}=\frac{-100}{2}\\5x-15=-50\\5x-15+15=-50+15\\5x=-35\\\\\frac{5x}{5}=\frac{-35}{5}\\\\x=-7[/tex]
14.) AXYZ is shown.
Y
124°
34°
22°
X
Z
What are the side measures in order from
least to greatest?
Answer:
22 , 34 , 124
Step-by-step explanation:
hope this helps!
A piece of pizza is 3 inches long. A sub sandwich is 8% longer than the slice of pizza.
How long is the sub sandwich?
Answer:
3.24 inches
Step-by-step explanation:
3 times 108% is 3.24
1. A vendor at the farmer's market was selling a bag of 8 potatoes for $2.56. Another
vendor was selling a bag of 10 potatoes for $4.32. Which bag is the better deal?
Answer:
The second bag is the better deal
Step-by-step explanation:
8÷2.56= $3.13 per potato
10÷ 4.32= $2.31 per potato
Describe a real life multipication situation for which an estimate makes sense explain why it makes sense. NEEDS TO BE ANSWERED RIGHT NOW
Answer:
I have 20 weddings which need 3 cakes each. How many cakes do I need to get?
20 x 3 = 60 cakes
Which of the following polynomial functions is graphed below? OA. f(x) = (x - 2) ^ 2 * (x + 3) * (x - 1) O B. f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1) O. f(x) = (x + 5) * (x + 1) ^ 2 * (x - 1) D. f(x) = (x - 5) * (x - 1) ^ 2 * (x - 1)
The function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]
From the graph, we have the following highlights
The graph crosses the x-axis at x = -1 and x = 3The graph touches the x-axis at x = -2The above highlights mean that:
The function has a multiplicity of 1 at x = -1 and x = 3The function has a multiplicity of 2 at x = -2So, the function of the polynomial is:
[tex]f(x) =a(x + 2)^2(x + 1)(x - 3)[/tex]
Assume a = 1.
So, we have:
[tex]f(x) =1(x + 2)^2(x + 1)(x - 3)[/tex]
Multiply
[tex]f(x) =(x + 2)^2(x + 1)(x - 3)[/tex]
Hence, the function of the polynomial is (b) [tex]f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)[/tex]
Read more about polynomial graphs at:
https://brainly.com/question/8878887
During a checkers game, there are 16 pieces left. The ratio of black to red is 3 : 5. How many black pieces are on the board? Explain how you found your answer.
Answer:
6 black pieces
10 red pieces
Step-by-step explanation:
The way to interpret ratios is like so:
Adding up both parts of the ratio gives 8, i.e. 3 + 5
So for every 8 pieces, 3 are black and 5 are red;
There are 16 pieces, which is 2 × 8;
So, there are (2 × 3) black pieces and (2 × 5) red pieces, i.e. 6 black and 10 red
So, to solve:
Add all parts of the ratio (3 + 5);
Divide the number of pieces (16) by this sum of ratio parts (8);
Multiply the value from the division (2) by each part of the ratio
Tip:
It is important to take note of the order in the ratio, so the ratio of black to red means the number that comes first in the ratio represents parts black and the one that comes second represents parts red;
If the wording was the ratio of red to black, the number that comes first would represent parts red and the second would represent parts black
Show Work to factor the binomials.
[tex](14)\\\\x^2 + 14x +45\\\\=x^2 +5x +9x +45\\\\=x(x+5) +9(x+5)\\\\=(x+9)(x+5)\\\\(15)\\\\x^2 +18x +45\\\\=x^2 +15x +3x +45\\\\= x(x+15) +3(x+15)\\\\=(x+3)(x+15)\\\\\\(16)\\\\x^2+46x+45\\\\=x^2 +45x +x +45\\\\=x(x+45) +(x+45)\\\\=(x+45)(x+1)[/tex]
What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1
Answer:
x > -1
Step-by-step explanation:
Add 9 to both sides of the inequality.
-10 +9 < x -9 +9
-1 < x
In the form of the answers, ...
x > -1
The solution for the given inequality is x > -1. The correct option is the last option x > -1
Linear inequalitiesFrom the question, we are to determine the solution for the given inequality
The given inequality is -10 < x - 9
To solve an inequality, we will solve for the variable. The variable here is x
The inequality can be solved as follows
-10 < x - 9
Add 9 to both sides
-10 +9 < x - 9 + 9
Simplifying
-1 < x
Now, if -1 < x
Then,
x > -1
Hence, the solution for the given inequality is x > -1. The correct option is the last option x > -1
Learn more on solving Linear inequalities here: https://brainly.com/question/246993
A square coffe shop has sides that are 7 meters long what is the coffe shops area
Answer:
49 square metres
Step-by-step explanation:
The area of a square is the length of the side times itself.
The area is 7 x 7 = 49
PLEASE HELPPPPPPPPP
SOOOO I didn't pay attention to math class and their already on a whole new subject which is algebra I need help on equations like 5x-2x- x x=5 like what or 9z times 7p= Let z=2 and p=3 please help due tomorrow please walk me down easily how to do
Answer:
5x-2x-x = 10 9z • 7p = 378
Step-by-step explanation:
With equations like these you're basically just plugging numbers in where there are variables. so if you have 5x-2x-x when x=5, you just plug in 5 wherever x is. 5x-2x-x turns into (5•5)-(2•5)-(1•5). you multiply the expressions in the parentheses to get 25-10-5 and then you simply subtract.
1. 5x-2x-x
2. (5•5)-(2•5)-(1•5)
3. 25-10-5
4. 10
We can do the same thing with your second example. 9z•7p when z=2 and p=3. When there is a z, you plug in a 2. When there is a p, you plug in a 3.
1. 9z•7p
2. (9•2) • (7•3)
3. 18 • 21
4. 378
hope this helps :)