Slope = -0.5
Y-intercept = 34
Equation: y = -0.5x + 34
Answer = It will take 16 days for the water level to be 26 feet.
The question is an illustration of a linear function.
The equation of the function is: [tex]\mathbf{y = 34- 0.5 x}[/tex]The number of days to reach 26ft is 16The given parameters are:
[tex]\mathbf{Level = 34ft}[/tex]
[tex]\mathbf{Rate = -0.5ft/day}[/tex]
The equation of the function is:
[tex]\mathbf{y = Level +Rate \times x}[/tex]
Where:
y represents the water level
x represents the number of days
So, we have:
[tex]\mathbf{y = 34- 0.5 \times x}[/tex]
[tex]\mathbf{y = 34- 0.5 x}[/tex]
A linear equation is represented as;
[tex]\mathbf{y = mx + b}[/tex]
So, by comparison:
[tex]\mathbf{Slope(m) = -0.5}[/tex]
[tex]\mathbf{y-intercept (b) = 34}[/tex]
When the water level is 26, it means y = 26.
So, we have:
[tex]\mathbf{y = 34- 0.5 x}[/tex]
[tex]\mathbf{26 = 34 - 0.5x}[/tex]
Collect like terms
[tex]\mathbf{26 - 34= - 0.5x}[/tex]
[tex]\mathbf{-8= - 0.5x}[/tex]
Divide both sides by -0.5
[tex]\mathbf{16= x}[/tex]
Rewrite as:
[tex]\mathbf{x = 16}[/tex]
Hence, the number of days to reach 26ft is 16
Read more about linear functions at:
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100% A coin is tossed 100 times. Which is the best estimate for the number of times the coin will land heads up?
A 10
B. 20
c. 50
D. 80
E. 100
Answer:
C.50
Step-by-step explanation:
It would be 50 because there are 2 sides to the coin. So if you take 100/2 you get 50. that would be the best estimate answer in my opinion
Number of times the coin will land heads will be 50
What is Binomial Distribution?
Number of trials or observation when each trial has the same probability of attaining one particular value. It determines the probability of observing a specified number of successful outcome in a specific number of trial.
Here , number of times the coin had tosses: 100
P(probability of getting a head in a coin ) : number of time head can come when flipped once / total number of observations
since , head can come once and there are two possibility either head or tail
hence P= 1/2
this implies number of times heads land up = n*P = 100 *(1/2) = 50
option c) 50
Let us learn more about binomial distribution:
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A store has 7 blue chairs for $127.75 or 4 red chairs for $73.52. Which color chair has a higher cost per chair?
Answer:
Red
Step-by-step explanation:
Blue: $127.75 ÷ 7 = $18.25
Red: $73.52 ÷ 4 = $18.38
Blue's cost per chair: $18.25
Red's cost per chair: $18.38
Solve the word problems using either the percent equation or the percent
proportion. Make sure to answer in a complete sentence. Round to the whole
number if necessary.
Arianna has an extensive music DVD collection. She owns 2300 DVD in total.
Twenty percent of the DVD’s are country music. How many country
music DVDs does she own?
Answer:
460
Step-by-step explanation:
20% of 2300 is 460
What is the value of x
Answer:
x = 5
Step-by-step explanation:
This uses the altitude on hypotenuse theorem
The 2 triangles formed are similar to the given triangle and to each other.
Δ ADB ~ Δ BDC
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{DB}{DC}[/tex] = [tex]\frac{AD}{BD}[/tex] , substitute values
[tex]\frac{10}{4x}[/tex] = [tex]\frac{x}{10}[/tex] ( cross- multiply )
4x² = 100 ( divide both sides by 4 )
x² = 25 ( take the square root of both sides )
x = [tex]\sqrt{25}[/tex] = 5
Please help!
What is the inverse of f(x)=x2 - 11 if the domain is x > 0
100 points please solve fast! Brainliest please!
Answer:
21Step-by-step explanation:
The number of rectangles and combinations:
1 rectangle = 62 rectangles = 53 rectangles = 44 rectangles = 35 rectangles = 26 rectangles = 1Total
6 + 5 + 4 + 3 + 2 + 1 = 21Now the number of,
Rectangles and combinations are,
→ 1 rectangle = 6
→ 2 rectangles = 5
→ 3 rectangles = 4
→ 4 rectangles = 3
→ 5 rectangles = 2
→ 6 rectangles = 1
Then the total number is,
→ 6+5+4 + 3+2+1
→ 15 + 6 = 21
Hence, total number is 21.
The 2013-14 roster of the Seattle Seahawks, winners of the 2014 NFL Super Bowl, included 10 defensive linemen and 9 offensive linemen. (Data set may be found here.) The weights in pounds of the defensive linemen were 254 311 297 323 260 242 300 252 303 274 and the weights of the offensive linemen were 310 315 305 318 298 301 321 332 320 (a) Make a back to back stemplot of the weights of the offensive and defensive linemen. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Find the five-number summary for the offensive line. (Enter your answers to one decimal place.) Minimum lb Q1 lb Median lb Q3 lb Maximum lb (b) Find the five-number summary for the defensive line. (Enter your answer to one decimal place.) Minimum lb Q1 lb Median lb Q3 lb Maximum lb (c) Which group of players tends to be heavier? Offensive Defensive
Answer:
Step-by-step explanation:
The weights in pounds of the defensive linemen were :
254,311, 297, 323, 260, 242, 300, 252, 303, 274
Ascending order: 242 ,252 ,254 ,260 ,274 ,297 ,300 ,303 ,311 ,323
The weights in pounds of the offensive linemen were :
310 ,315, 305, 318, 298, 301, 321, 332, 320
Ascending order:298 ,301 ,305 ,310 ,315 ,318 ,320 ,321 ,332
a)
Offensive line Stem Defensive line
24 | 2
25 | 2 , 4
26 | 0
27 | 4
8 | 29 | 7
1,5 | 30 | 0,3
0,5,8 | 31 | 1
0,1 | 32 | 3
2 | 33 |
Five number summary of offensive line:
1) minimum: 298
2) maximum: 332
3)
Lower quartile:298 ,301 ,305 ,310
Q1 is the median of lower quartile
[tex]Q1=\frac{301+305}{2}=303[/tex]
4)
Upper quartile:318 ,320 ,321 ,332
Q3 is the median of upper quartile
[tex]Q3=\frac{320+321}{2}=320.5[/tex]
5)
Q2 is the median
298 ,301 ,305 ,310 ,315 ,318 ,320 ,321 ,332
Mid value =[tex]\frac{9+1}{2}[/tex]=5th term = 315
Q2=315
Five number summary of defensive line:
1) minimum: 242
2) maximum: 323
3)
Lower quartile:242 ,252 ,254 ,260 ,274
Q1 is the median of lower quartile
Q1=254
4)
Upper quartile:297 ,300 ,303 ,311 ,323
Q3 is the median of upper quartile
Q3=303
5)
Q2 is the median
242 ,252 ,254 ,260 ,274 ,297 ,300 ,303 ,311 ,323
Mid value =\frac{274+297}{2}=285.5
Q2=285.5
c) Mean weight of offensive line = [tex]\frac{298+301+305+310+315+318+320+321+332}{9}=313.33[/tex]
Mean weight of defensive line = [tex]\frac{242+252+254+260+274+297+300+303+311+323}{10}=281.6[/tex]
Mean weight of offensive line is more
So, Offensive group of players tends to be heavier
y = (25 - 2) (35 - 2).
Multiply the binomials.
Answer: y=759
Step-by-step explanation:
y = (25 - 2) (35 - 2)
y = (23) (33)
y = 759
Answer:
y = 759
Step-by-step explanation:
subtract the numbers
y = 23 (35 - 2)
y = 23 x 33
Multiply the numbers
y = 759
Solution
y = 759
Solve 2x < 10. Explain how to find the solution set.
Answer:
x < 5
Step-by-step explanation:
2x < 10
x < 5
I hope this helped!
Required solution set is x < 5.
What is inequality?
In mathematics, an inequality is a relationship that compares two numbers or other mathematical expressions unequally.[1] It is most often used to compare two numbers by their size. Several different notations are used to denote different types of inequality:
The notation a < b means that a is less than b.
Notation a > b means that a is greater than b.
In both cases, a is not equal to b. These relationships are known as strict inequalities,meaning that a is strictly less than or strictly greater than b. Equivalence is excluded.
Unlike strict inequalities, there are two types of inequalities that are not strict:
The notation a ≤ b or a ⩽ b means that a is less than or equal to b (or equivalently at most b or not greater than b).
The notation a ≥ b or a ⩾ b means that a is greater than or equal to b (or equivalently at least b or not less than b).
A ratio that is not greater than can also be represented as a ≯ b, with the "greater than" symbol separated by a slash "not". The same is also true for no less than and a ≮ b.
The notation a ≠ b means that a is not equal to b; this difference is sometimes considered a form of strict inequality.It does not say that one is greater than the other; it does not even require that a and b be members of an ordered set.
Here given,[tex]2x < 10[/tex]
We want to find solution set of 2x < 10
Now,2x < 10
First we are dividing both side by 2 and get,
[tex] \frac{2x}{2} < \frac{10}{2} \\ x < 5[/tex]
Therefore,required solution is x < 5.
Inequalities related one more question:
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A shipping company specializing in big items, like couches and cars, charges a $99 handling fee plus $0.32 per pound. Write an equation representing the total cost to ship an item based on its weight.
Answer:
$0.32x + $99 = c (cost)
Step-by-step explanation:
First, the problem tells you that the company is charging $0.32 per pound. The phrase "per pound" tells us that the 32 cents is not a fixed amount, so it must be paired with a variable like x since any item could easily weigh more than one pound when shipping.
Next, the problem says there's a handling fee of $99 for each purchase. This is a fixed amount, meaning there will be no variable with it since this fee will always just cost $99. This fee will be added to the $0.32x, so it can be represented anywhere in the equation like "+ $99" or "$99 +".
Finally, just write each term as an equation and you're all set! There can be multiple ways to write the equation. For example, $0.32x + $99 = c is correct, but $99 + $0.32x = c is also correct!
please help meeeeeeeeeeeeeeeeeeee
Answer:
Im pretty sure it's D
Step-by-step explanation:
Srry if Im wrong.
Plz mark brainliest
5/8 - 5/24
I am doing some homework my brain isnt working right now can someone help me out?
Answer:
5/12
Step-by-step explanation:
i just looked it up...
====================================================
Explanation:
Multiply top and bottom of 5/8 by 3 to get 15/24
This means 5/8-5/24 is the same as 15/24-5/24
The denominators are the same, so we can subtract the numerators to have them placed over the common denominator
15/24 - 5/24 = (15-5)/24 = 10/24
Then we reduce by dividing each part of the fraction by the GCF 2
10/2 = 5
24/2 = 12
Meaning that 10/24 = 5/12
Note how multiplying top and bottom of 5/12 by 2 leads to 10/24 again.
So overall,
5/8 - 5/24 = 5/12
The number written 3.76ee13 in scientific notation
Answer:
yes also what is the question
Can i get some help im really confused and im in the test
Answer:
b y= 3x+6 is the ans but not sure
Students are making ornaments and each takes 14 of a piece of Bristol board. They go to the cupboard and find 5 pieces oStudents are making ornaments and each takes 14 of a piece of Bristol board. They go to the cupboard and find 5 pieces of Bristol board. How many ornaments can they make?F Bristol board. How many ornaments can they make?
Answer:
The students can make 70 pieces of ornament from the 5 pieces of Bristol board from the cupboard.
Step-by-step explanation:
Since each student takes 14 of a piece of Bristol board to make an ornament, and we have 5 pieces of Bristol board in the cupboard, this implies that we require 1 Bristol board makes 14 pieces of ornament. Therefore 5 pieces of Bristol Board will make 5 × 14 pieces of ornament = 70 pieces of ornament.
So, the students can make 70 pieces of ornament from the 5 pieces of Bristol board from the cupboard.
Find the slope of the line from the graph.
Answer:will hope it help to find the answer with an unqualified
Step-by-step explanation:
i also need help with this one too
Answer:
27°
Step-by-step explanation:
angle FDG is a alternate interior angle with angle BDG
Answer:
27
Step-by-step explanation:
the explanation is too long... just trust me its 27
3
Rewrite the equation y= 3/7x + 4 in standard form.
Answer:
I think it is 3x-7y=-28
Jacob and Joe are selling cheesecakes for a school fundraiser customers can buy New York style cheesecake and strawberry cheesecakes Jacobs or six New York style cheesecake's and six strawberry cheesecakes for a total of $96 Joe sold one New York style cheesecake and four strawberry cheesecake for a total of $52 what is the cost of each of one New York style cheesecake and one strawberry cheesecake
Step-by-step explanation:
Given data
Let the cheese be x
And strawberry be y
So
6x+6y=96-------1
x+4y=52----------2
Solving 1 and 2 simultaneously
Let us multiply equation 2 by 6 we have
6x+6y=96
6x+24y=312
-0-18y=-216
18y=216
y=216/18
y=12
Put y=12 in equation 2
x+4*2=52----------2
x+8=52
x=52-8
x=44
cheese =44
strawberry =12
The value of a share of AT&T stock on that day wa \$97 50 more than the value a share of IBM HockUnx to represent the unknown value Write an algebraic expression for each of the quantities being compared 0 = the value of a share of AT&T Mock E = the value of a share of IBM stock
Answer:
[tex]A = 97.50 + H[/tex]
Step-by-step explanation:
Given
Stocks: AT&T and IBM HockUnx
Required
Determine the algebraic expression
Represent AT&T with A and IBM HockUnx with H.
Since AT&T is 97.5 more than IBM HockUnx;
The required expression is:
[tex]A = 97.50 + H[/tex]
Alex prepares goody bags for his guests. He has 30 Minifigures and 24 spinners. How many goody bags can he make if he wants to put the same number of Minifigures in each bag and the same number of spinners in each bag with no toys left over?
Answer:
he can make 6 goodie bags
Step-by-step explanation:
the midpoint of ab has coordinates of (5,-1) if the coordinate of a are (2,-3) what are the coordinates of b
Answer:
(3, 2)
Step-by-step explanation:
I am sure
Graph: Y-3 =1/2(x+2)
Answer:
It will pass in between (-8,0) on the x-axis and (0,4) on the y axis
Step-by-step explanation:
Here is the picture, if you ever need help go to desmos.com.
The length of a rectangle is 3m more than the width. The area is 70m². Find the dimensions of the rectangle.
If it were a square it would be 17.5meters on every side, but we are not solving for a square we are solving for a rectangle. The dimensions for this rectangle are 19 long 16 wide.
Answer:
304m?
Step-by-step explanation:
okay bye
bye
3
Find an equation for a cosine function that has an amplitude of 3/5, a period of 270°, and a y
intercept of 5.
Answer:
y=sin2x+3
Step-by-step explanation:
How is 0.000000006532 expressed in standard scientific notation? please tell me i wanna pass
Answer:
6.532 x 10^-9
Step-by-step:
1. 0.000000006532
2. move the decimal to where the first number is greater than or equal to 1 and less than 10. In this case we move the decimal to the right 9 times. You will get 6.532
3. We moved the decimal to the right meaning the power to 10 would be a negative number. The number is how many times we moved the decimal by 1 spot, in this problem we moved it 9 times. 6.532 x 10^-9 is what you should get for scientific notation
Is reported is a linking verb or an action verb or a being verb need help ASAP 100 points
Answer:
Action verb
Step-by-step explanation:
Reported is an action verb
Answer: I'm pretty sure it's and action verb
Step-by-step explanation: a linking verb is something that brings the sentence together but an action verb is when you're doing something. Reporting is an action
Some equations have the form y=kxy=kx, where kk is a number.
Which equation CANNOT be written in the form y=kxy=kx?
Answer:
[tex]x = 4y[/tex]
Step-by-step explanation:
Given
[tex]y = kx[/tex]
See attachment for options.
Required
Determine which of the options answers the question
Analyzing the option one after the other:
[tex]\frac{x}{y} = 4[/tex]
Multiply through by y
[tex]y * \frac{x}{y} = 4 * y[/tex]
[tex]x = 4y[/tex]
Divide through by 4
[tex]\frac{x}{4} = \frac{4y}{4}[/tex]
[tex]\frac{x}{4} = y[/tex]
This can be rewritten as
[tex]y = \frac{x}{4}[/tex]
[tex]y = \frac{1}{4} x[/tex]
By comparison with [tex]y = kx[/tex]
we have:
[tex]y = y[/tex]
[tex]x = x[/tex]
[tex]k = \frac{1}{4}[/tex]
Hence: this answers the question.
PLEASE HELP Will give brainliest! Write the equation in y=mx+b form for the line on the graph. PLEASE
Answer:
y=-1.9x-1
Step-by-step explanation:
A ball is thrown vertically upward from the top of a building 224 feet tall with an initial velocity of 80 feet per second. The distance s (in feet) of the ball from the ground after t seconds is 224 0t 6ts = +8 −1 2a) After how many seconds does the ball pass the top of the building? b) After how many seconds does the ball strike the ground?
Answer:
i dont really know
Step-by-step explanation:
You can search t up on googl nd get the answer most lieyly