Answer:
Length = 22 ft
Width = 6 ft
Step-by-step explanation:
Let the width of the tarpaulin be x meters.
Therefore, length = 3x + 3
Area of tarpaulin = 126 ft²
[tex]x(3x + 3) = 126 \\ \\ 3x(x + 1) = 126 \\ \\ {x}^{2} + x = \frac{126}{3} \\ \\ {x}^{2} + x = 42 \\ \\ {x}^{2} + x - 42 = 0 \\ \\ {x}^{2} + 7x - 6x - 42 = 0 \\ \\ x(x + 7) - 6( {x + 7)} = 0 \\ \\ (x + 7)(x - 6) = 0 \\ \\ x + 7 = 0 \: \: or \: \: x - 6 = 0 \\ \\ x = - 7 \: \: or \: \: x = 6 \\ \\ \because \: x \: is \: side \: length \\ \therefore \: it \: can \: not \: be \: negative \\ \implies \: x \notin - 7 \\ \\ \implies \: x = 6 \\ \\ 3x + 3 = 3 \times 6 + 3 \\ \\ 3x + 3 = 18 + 3 \\ \\ 3x + 3 = 21 \\ \\ length \: of \:the \: tarpaulin \: = 21 \: ft \\ \\ width \: of \: the\: tarpaulin \: = 6 \: ft \\ [/tex]
Which statement is a valid claim that could be made using the data in the graph?
Directional selection is occurring because the graph favors an extreme.
Stabilizing selection is occurring because the average is favored.
Disruptive selection is occurring because the two extremes are favored.
Biodiversity variation is occurring because there is an increase in trait variation.
Stabilizing selection is occurring because the average is favored.
If its the same graph im thinking of.
The correct statement is a valid claim that could be made using the data in the graph is,
B) Stabilizing selection is occurring because the average is favored.
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.
Now, On this graph we can observe the workings of the stabilizing selection.
Since, Stabilizing selection tends to favor the average phenotype and eliminate the extremes.
Essentially, this means that the natural selection is selecting the mean value of a trait as optimal.
Hence, In our case, the mean weight of newborns is selected as optimal, because newborns born with less weight can be too weak to survive and the ones that have too much weight (are too big) can hurt the mother during birth.
Thus, The correct statement is a valid claim that could be made using the data in the graph is,
B) Stabilizing selection is occurring because the average is favored.
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The number 0 is a solution to which of the following inequalities? Select all that apply. x – 5 ≤ -3
Answer:
The number 0 is a solution to that specific inequality
Step-by-step explanation:
0-5 <- -3
-5 <- -3
-3 is greater than -5
A number minus 6. Help me plz (translating Expressions)
Answer:
x - 6
Step-by-step explanation:
Find the inverse of the given function f(x)=-5x-9
Answer:
f-1(x)= x+9/-5
Step-by-step explanation:
1. To determine the inverse of the given function, first change f(x) to y. Then, switch x and y in the equation.
2. Now, solve the equation for y.
3. Finally, change y to f -1(x).
In the diagram below, quadrilateral PQRS is a rectangle. Diagonal PR splits the rectangle into triangles PQR and RSP.
Based on the assumption that quadrilateral PQRS is
a rectangle, determine whether each statement below is true or false. Select True or False for each statement.
TRUE or FALSE
1.) Triangles POR and RSP are congruent because they satisfy the side-side-sido (SSS) triangle congruence criterion.
2.)Triangles POR and RSP are congruent because they satisfy the side-anglo-sido (SAS) triangle congruence criterion
3.)Triangles POR and RSP are congruent because there is a rotation that carries one triangle onto the other.
4.)Triangles POR and RSP are congruent because there is a translation that carries one triangle onto the other
Answer:
False
True
True
False
Step-by-step explanation:
Answer:true true true false
Step-by-step explanation: did it in class
How many solutions does the following equation have?
-6(x+7) = -4x -2
i rlly need help; finding angles
Answer:
1=35 find angle 2 80+65-180=35
2= 65 vertical angles are congruent ex 115-180
3=29 ex. 90+65-180=29
4= 115 vertical angle congruent
5=65 vertical angles are congruent ex 115-180
6=65 35+80-180=65
7=144
Answer:
∠1 = 35 ; ∠2 = 65 ; ∠3 = 29 ; ∠4 = 115
∠5 = 65 ; ∠6 = 36 ; ∠7 = 144
Step-by-step explanation:
∠4 = 115 {Vertically opposite angles}
∠5 + 115 = 180 {linear pair}
∠5 = 180 - 115
∠5 = 65
∠2 = ∠5 {Vertically opposite angles}
∠2 = 65
∠1 + 80 +∠2 = 180 {Angle sum property of triangle}
∠1 + 80 + 65=180
∠1 + 145 = 180
∠1 = 180 - 145
∠1 = 35
∠5 + ∠7 + 90 + 61 = 360 {angle sum property of quadrilateral}
65 + ∠ 7 + 90 + 61 = 360
∠7 + 216 = 360
∠7 = 360 - 216
∠7 = 144
∠6 + ∠ 7 = 180 {linear pair}
∠6 + 144 = 180
∠6 = 180 - 144
∠6 = 36
∠3 + ∠4 +∠ 6 = 180 {angle sum property of triangle}
∠3 + 115 + 36 = 180
∠3 + 151 = 180
∠3 = 180 - 151
∠3 = 29
What is the answer to 15x+9 when x=−1.
Answer:
The answer is -6.
Step-by-step explanation:
How to find x-intercept in the equation y=mx+b
Tell whether the rates form a proportion
28 points in 3 games; 112 points in 12 games
Yes
No
Answer: yes
Step-by-step explanation: the answer is yes
Cherries cost $5 for 2 pounds and $7.50 for 3 pounds.
What is the cost per pound?
b. Is it constant?
c. If you were to graph this situation, would you put weight or cost on the x-axis? Which one would you put on the y-axis?
d. Plot the two points described.
e. How much would 5 pounds of cherries cost? What did you do to solve this problem?
Answer:
Cherries cost $2.50 per pound
Yes, it is constant.
Weight would go on the x-axis and the cost would go on the y-axis.
The two points are (2, 5) and (3, 7.5)
5 pounds of cherries would cost $12.50. To solve the problem I multiplied the 5 pounds by 2.5, the cost per pound to find the cost.
Step-by-step explanation:
$5 for 2 pounds and $7.50 for 3 pounds can be turned into the points (2, 5) and (3, 7.5).
To find the cost per pound, input the two points into the slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{7.5-5}{3-2}[/tex]
Solve:
7.5 - 5 = 2.5
3 - 2 = 1
[tex]\frac{2.5}{1}[/tex] = 2.5
The cost of cherries per pound is $2.50. This is our slope.
The equation that represents the cost of cherries for x amount of pounds is:
y = 2.5x
To find how much 5 pounds of cherries would cost, replace x with 5 in the equation:
y = 2.5(5)
y = 12.5
5 pounds of cherries would cost $12.50.
I hope this helps :)
Can someone help I will brainlest
write the equation of this line
Answer:
Y = -3/2x + 5
Step-by-step explanation:
Slope (rise/run) is -3/2 and the y - intercept is 5.
Hope this helps. Pls give brainliest.
Which ratio is not equivalent to 5 : 8?
Answer:
10 / 28
Step-by-step explanation:
A walk in interview 12% of Candidates can be selected and 28% of Canada can be put on hold for the next hiring date if 75 candidates are interviewed about how many are expected to be rejected
Answer:
45 candidates are expected to be rejected
Step-by-step explanation:
Here, we want to calculate the number of candidates to be rejected
The number of candidates to be rejected can be calculated from;
100% - (28% + 12%) = 60%
So 60% of the 75 interviewed are to be rejected
Thus, we have
60/100 * 75
= 45
The number of candidate expected to be rejected is 45 if the 12% of candidates can be selected and 28% of Canada can be put on hold for the next hiring date.
What is percentage?It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
We have:
A walk in interview 12% of Candidates can be selected and 28% of Canada can be put on hold for the next hiring date if 75 candidates are interviewed.
Let's suppose total candidate is 100%
So,
= 100 - (12+28)
= 60%
Number of candidate expected to be rejected:
= 60% of 75
= (60×75)/100
= 45
Thus, the number of candidate expected to be rejected is 45 if the 12% of candidates can be selected and 28% of Canada can be put on hold for the next hiring date.
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Q5) given that f(x) = x^2 + x and g(x) = 3x + 1, find the value of f(g(4))
Answer:
169
Step-by-step explanation:
3(4)+1
=12+1
=13
f(g(4))
f(x)=x^2 ---- (13)^2
=13x13
=169
What is the slope of the line that passes through the points (-8,-1)
and (-12, -2)? Write your answer in simplest form.
Answer:
[tex]m=\frac{1}{4}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-8, -1)
Point (-12, -2)
Step 2: Find slope m
Substitute: [tex]m=\frac{-2+1}{-12+8}[/tex]Add: [tex]m=\frac{-1}{-4}[/tex]Divide: [tex]m=\frac{1}{4}[/tex]Helppp! (m−3+4n)⋅(−8)
Answer:
-8m + 3 - 32n
Step-by-step explanation:
Distributive Property
-8m + 3 - 32n
Identify the terms of this expression
w+5w2+2w2-7w
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▹ Answer
w, 5w², 2w² and -7w
▹ Step-by-Step Explanation
Terms are the values which are seperated by the plus sign (+) or the minus sign (-).
In this case, we have w + 5w² + 2w² - 7w
We can see that there is a total of 3 signs, two plus signs (+) and one minus sign (-).
Therefore, our terms will be w, 5w², 2w² and -7w. There is a total of 4 terms in this expression.
Hope this helps!
CloutAnswers ❁
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Help me on this please
Answer:
answer d
Step-by-step explanation:
negative exponents need to be put into the denom
how to write this numbers in word 30.659
Answer:
thirty and six hundred fifty-nine thousandths
Step-by-step explanation:
I need help with this
Answer:
y=-1/3x+2
Step-by-step explanation:
Acme is selling a 6 pound turkey for $25.50.
Write the rate
What is the unit rate
Answer:
$4.25 each pound
Step-by-step explanation:
To find the unit rate you want to divide the price by the pound
25.50 / 6 = 4.25
Therefore it's $4.25 each pound which is the unit rate
find the midpoint of AB: A(3,-8) B(-15,-8)
Answer:
C (-6,-8)
good luck buddie
Answer:
(-6, -8)
Step-by-step explanation:
Solve for the missing variable
(5, 4) & (2, c) slope is equal to 1/2
Please answer fast
Answer:
c = [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to [tex]\frac{1}{2}[/tex]
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (2, c)
m = [tex]\frac{c-4}{2-5}[/tex] = [tex]\frac{c-4}{-3}[/tex] , then
[tex]\frac{c-4}{-3}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2(c - 4) = - 3
2c - 8 = - 3 ( add 8 to both sides )
2c = 5 ( divide both sides by 2 )
c = [tex]\frac{5}{2}[/tex]
solve for x:
(-3/2)x -9 = - 27
a.-24
b.-12
c.11
d.12
Answer:
d
Step-by-step explanation:
Given
- [tex]\frac{3}{2}[/tex] x - 9 = - 27 ( add 9 to both sides )
- [tex]\frac{3}{2}[/tex] x = - 18 ( multiply both sides by 2 to clear the fraction )
- 3x = - 36 ( divide both sides by - 3 )
x = 12 → d
Find the slope of each line.
1)
(-1, 1), (-1, 4)
Answer:
The slope is undefined
Step-by-step explanation:
The equation of the line is x=-1 and this equation’s slope is undefined because it’s a vertical line.
Hope this helps and answers your question :)
Answer:
The line presented has an undefined slope.
Step-by-step explanation:
We are given two points of a line: (-1, 1) and (-1, 4).
Coordinate pairs in mathematics are labeled as (x₁, y₁) and (x₂, y₂).
The x-coordinate is the point at which if a straight, vertical line were drawn from the x-axis, it would meet that line.The y-coordinate is the point at which if a straight, horizontal line were drawn from the y-axis, it would meet that line.Therefore, we know that the first coordinate pair can be labeled as (x₁, y₁), so, we can assign these variables these "names" as shown below:
x₁ = -1y₁ = 1We also can use the same naming system to assign these values to the second coordinate pair, (-1, 4):
x₂ = -1y₂ = 4We also need to note the rules about slope. There are different instances in which a slope can either be defined or it cannot be defined.
Circumstance 1: As long as the slope is not equal to zero, there can be a
positive slope, [tex]\frac{1}{3}[/tex]negative slope, [tex]-\frac{5}{6}[/tex]Circumstance 2: If the slope is completely vertical (there is not a "run" associated with the line), there is an undefined slope. This is the slope of a vertical line. An example would be a vertical line (the slope is still zero).
Circumstance 3: If the line is a horizontal line (the line does not "rise" at all), then the slope of the line is zero.
Therefore, a slope can be positive, negative, zero, or undefined.
Now, we need to solve for the line we are given.
The slope of a line is determined from the slope-intercept form of an equation, which is represented as [tex]\text{y = mx + b}[/tex].
The slope is equivalent to the variable m. In this equation, y and x are constant variables (they are always represented as y and x) and b is the y-intercept of the line.
We can do this by using the coordinates of the point and the slope formula given two coordinate points of a line: [tex]m=\frac{y_2-y_1}{x_2-x_1}.[/tex]
Therefore, because we defined our values earlier, we can substitute these into the equation and solve for m.
Our values were:
x₁ = -1y₁ = 1x₂ = -1y₂ = 4Therefore, we can substitute these values above and solve the equation.
[tex]\displaystyle{m = \frac{4 - 1}{-1 - -1}}\\\\m = \frac{3}{0}\\\\m = 0[/tex]
Therefore, we get a slope of zero, so we need to determine if this is a vertical line or a horizontal line. Therefore, we need to check to see if the x-coordinates are the same or if the y-coordinates are the same. We can easily check this.
x₁ = -1
x₂ = -1
y₁ = 1
y₂ = 4
If our y-coordinates are the same, the line is horizontal.
If our x-coordinates are the same, the line is vertical.
We see that our x-coordinates are the same, so we can determine that our line is a vertical line.
Therefore, finding that our slope is vertical, using our rules above, we can determine that our slope is undefined.
(x-790°
(x-45)
Solve for x.
Answer:
107
Step-by-step explanation:
(x - 79)° + (x - 45)° = 90°
2x - 124 = 90
2x = 214
x = 107
What is 0.5 x 10^5 in standard form.
+
Answer:
Step-by-step explanation:
0.5 ×10^5=5/10×10^5=5×10^4=50,000
let's see who can answer this;)
Answer:
0.88, 8.08, 8.80
2.4, 2.49, 3.71, 3.87, 4.92
Step-by-step explanation:
By logic.
Or mathematically speaking, if x is greater than y, means that x-y > 0.