The area of the rectangle is increasing at a rate of 122cm²/s if the length of the rectangle is 11 cm and the width is 9 cm.
The area of a rectangle can be described as the product of the length and width of that rectangle, therefore;
Area = L × W
Here L represents length and W represents the width
Now by differentiating using the product rule;
dA/dt = (dL/dt)(W) + (dW/dt)(L)
As the length is 11 cm and the width is 9 cm and the length is increasing at a rate of 5 cm/s and its width is increasing at a rate of 7 cm/s; substituting these values in the equation;
dA/dt = (5)(9) + (7)(11)
dA/dt = 45 + 77
dA/dt = 122
Hence, the area of the rectangle is increasing at the rate of 122cm²/s.
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Pls tell me the answer thank you
A chef bought 3 bags of oranges at the supermarket and it cost her $8.13. Write an equation that can be used to express the relationship between the total cost(t) and the number of bags of oranges(b) purchased.
Answer:
8.13=3b
Step-by-step explanation:
8 13 is the total cost and the bags of oranges are three.
Read image for instructions The shape of the distribution is…
Ok, so
The shape of a distribution is described by its number of peaks and by its possession of symmetry, its tendency to skew, or its uniformity.
HELP!!!! i dont understand
Answer:
Step-by-step explanation:
lol i poopeed
Liam buys some fruit for £26.55.
He pays the exact amount using two notes and four coins.
List the notes and coins Liam could have used.
Answer:
£20 note, £5 note, 50p,50p,50p, 5p
Step-by-step explanation:
Liam buys some fruit for £26.55 by paying 2 notes of £20 and £5 and 3 coins of 50 cent and one coin of 5 cent.
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given:
Liam buys some fruit for £26.55.
He pays the exact amount using two notes and four coins.
So, possible notes are £1, £5, £10 and £20.
And the possible coins are 1¢, 5¢, 10¢, 25¢, 50¢, and £1.
So, through trial and error,
we get notes of £20 and £5.
And the coins are three coins of 50 cent and 1 coin of 5 cent.
The total amount = adding the amount of notes and coins.
£26.55 = £20 + £5 + 3(50¢) + 5¢
Therefore, notes of £20 and £5 and the coins are three coins of 50 cent and 1 coin of 5 cent, Liam used.
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Solve the inequality algebraically x^2+10x+9<0
Answer:
−9 < x < −1
Step-by-step explanation:
a) Let's find the critical points of the inequality.
x^2 + 10x + 9 = 0
(x + 1)(x + 9) = 0
x + 1 = 0 or x + 9 = 0
x = −1 or x = −9
x < −9 (Wrong)
−9 < x < −1 (Correct)
x > −1 (Wrong)
Your answer is −9 < x < −1
Premises:
If I'm a student, then I go to school. If I go to school, then I learn.
Conclusion:
If I'm a student, then I learn.
This is an example of the Law of_________
The condition is fulfilled, Law of syllogism is applied here.
What's the Law of syllogism ?
The law of syllogism, also called reasoning by transitivity, is a valid argument form of deductive reasoning that follows a set pattern. It is similar to the transitive property of equality, which reads: if a = b and b = c then, a = c
Given:
If I'm a student, then I go to school. If I go to school, then I learn
Conclusion:
If I'm a student, then I learn.
So, the Conclusion is correct and follows law of syllogism as If I'm a student then definitely i learn as i will go to school to learn according to the statement.
Therefore, the hypothesis have to be true.
Hence, the condition is fulfilled, Law of syllogism is applied here.
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DUE TODAY ASAP!! Megan has $50 and saves $5.50 each week. Connor has $18.50 and saves $7.75 each week. After how many weeks will Megan and Connor have saved the same amount?
Include step by step explanation for brainliest.
If Megan has $50 and saves $5.50 each week. Connor has $18.50 and saves $7.75 each week. Then after 14 weeks Megan and Connor have saved the same amount.
What is Equation?Two or more expressions with an equal sign is called as equation.
Let x=the number of weeks
For Megan we have:
50+5.5x
For Connor we have:
18.50+7.75x
Let us equate Megan's and Connor to have same amount.
50+5.5x=18.50+7.75x
Let us take variables on one side and numbers on other side.
50-18.50=7.75x-5.5x
31.5=2.25x
Divide both sides by 2.25
x=14
Hence after 14 weeks Megan and Connor have saved the same amount.
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1. Here is a graph of the equation 2y - X = 1:
The given the initial equation
[tex]2y-x=1[/tex]we can determine the part of the graph to be shaded if the equation changes to the inequality:
[tex]2y-x>1[/tex]If we make y the subject of the formula, such that
[tex]2y>1+x[/tex]Then we can put in the values of x and y at (0,0)
so that
[tex]\begin{gathered} 0>1+0 \\ 0>1 \end{gathered}[/tex]we can see that the expression is false because 0 is not greater than 1
Hence, we will shade away from the origin this means that we will shade above the line
The graph is shown below
So for question B
We will shade above the line
Question C
The points on the line are not included because the inequality does not include an equal sign
[tex]\begin{gathered} \text{Assuming the inequality were} \\ 2y-x\ge1 \\ \\ The\text{ points would have been inclusive because this inequality also have an equal sign } \end{gathered}[/tex]Please help me with this question
There are 750 students in the seventh grade class and 625 students in the eighth grade class at Brookland Middle School. There are 1,375 total students at the school. About what percent of students attending Brookland MIddle School are in seventh grade? Help asap!!
The percentage of students in Brookland Middle School who are attending seventh grade is 54.54%
What is percentage?
In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Although "pct," "pct," and occasionally "pc" are also used as abbreviations, the percent symbol "%" is most usually used to denote it. A% is a number that has no dimensions and is dimensionless (pure).
We know that, to get the value of percentage we have to divide the value for which percentage needs to be calculated by total value and then multiply the resultant by 100.
So, we will divide the number of student in seventh class by the total number of student and then multiply it with 100.
(750/1375)100 = 54.54 %
Therefore, percentage of students attending Brookland Middle School are in seventh grade is 54.54%.
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find an equation for the line that passes through the points (-5,-1) and (-1,1)
Answer:
y = (1/2)x + (3/2)
Step-by-step explanation:
(-5, -1), (-1, 1)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 1 - (-1) 1 + 1 2 1
m = ------------- = ----------- = ------------ = --------- = --------
x₂ - x₁ -1 - (-5) -1 + 5 4 2
y - y₁ = m(x - x₁)
y - (-1) = (1/2)(x - (-5))
y + 1 = (1/2)(x + 5)
y + 1 = (1/2)x + (5/2)
-1 -1
---------------------------------
y = (1/2)x + (3/2)
I hope this helps!
yo can u help pls its just 3 problems its a screen shot of my work pls help
Answer:
140,000
Step-by-step explanation:
math just times and for the 1/⁵ is 16
Kelsey ran the 40 meter track at her school in 91.4 seconds running at the same speed how long did it take for the run 100 meter
Answer:
Kelsey ran 100 meters in 228.5 seconds.
Step-by-step explanation:
To find the answer, first find out how many seconds it takes for her to run 1 meter.
91.4/40=2.285
Now, multiply that by 100.
228.5
Kelsey ran 100 meters in 228.5 seconds.
What is the quotient of 8.252 ÷ 0.4?
Margaret does the following problem incorrectly.
-0.46 + (-0.54) =
Margaret’s answer: -0.46 + 0.54 = 0.08
Please find the error and resolve the problem to help
PLS HELP FAST ALSO CAN YOU BREAK IT DOWN FOR ME
The problem is in the parenthesis
Explaination: plus and minus is minus. That means -0.46-0.54=-1.
Write the polynomial in standard form that represents the perimeter of the
quadrilateral. Show and explain the steps that you took in finding the polynomial in
stadard form. Use at least 3-4 sentences in your explanation.
The polynomial in standard form that represents the perimeter of the quadrilateral is 12x - 3
The quadrilateral is a plane that has four sides.
The sides of the quadrilateral are
3x-2, 2x+1, 5x-2 and 2x
The perimeter of the quadrilateral is the sum of all the sides of quadrilateral
The perimeter of the quadrilateral = 3x-2 + 2x+1 + 5x-2 + 2x
Rearrange the terms and add or subtract the like terms
= 3x + 2x + 5x + 2x -2 + 1 - 2
= (3+2+5+2)x - 2+1-2
= 12x - 3
Hence, the polynomial in standard form that represents the perimeter of the quadrilateral is 12x - 3
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Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.
The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.
(1, 3), (2, 6), (3, 12), (4, 24)
Write a function to represent the data.
The data in the question will be represented by a geometric sequence given by 3 (2) ⁿ⁻¹.
A geometric sequence is defined as the sequence in which the ratio between the consecutive terms of the sequence remains constant. The ratio is known as common ratio. The nth term of geometric sequence is written as a (r)ⁿ⁻¹ where a is the first term, r is the common ratio and n is the number of terms. We know from the question that the time in minutes Aurora takes to complete the task forms a sequence as 3, 6, 12, 24.....
The common ratio of this sequence is given by 6/3 = 2. The first term being equal to 3. Now, for the nth term the sequence will be represented as
a (r)ⁿ⁻¹
=> 3 (2)ⁿ⁻¹
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What are the leading coefficient and degree of the polynomial?
-1+23x² +8x
If I were to solve an equation such as 14x-3=24x+29, would I start inversing the 24x or the 14x first? I have been doing the lower variable number first this whole time but I seem to get it wrong since it's supposed to be negative.
multiplication tables from 2 to 20
multiplication tables from 2 to 20
table of 2
2 x 1 = 2
2 x 2 = 4
2 x 3 = 6
2 x 4 = 8
2 x 5 = 10
2 x 6 = 12
2 x 7 = 14
2 x 8 = 16
2 x 9 = 18
2 x 10 = 20
table of 3
3 x 1 = 3
3 x 2 = 6
3 x 3 = 9
3 x 4 = 12
3 x 5 = 15
3 x 6 = 18
3 x 7 = 21
3 x 8 = 24
3 x 9 = 27
3 x 10 = 30
table of 4
4 X 1 = 4
4 X 2 = 8
4 X 3 = 12
4 X 4 = 16
4 X 5 = 20
4 X 6 = 24
4 X 7 = 28
4 X 8 = 32
4 X 9 = 36
4 X 10 = 40
table of 5
5 x 1 = 5
5 x 2 = 10
5 x 3 = 15
5 x 4 = 20
5 x 5 = 25
5 x 6 = 30
5 x 7 = 35
5 x 8 = 40
5 x 9 = 45
5 x 10 = 50
table of 6
6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
6 x 5 = 30
6 x 6 = 36
6 x 7 = 42
6 x 8 = 48
6 x 9 = 54
6 x 10 = 60
table of 7
7 x 1 = 7
7 x 2 = 14
7 x 3 = 21
7 x 4 = 28
7 x 5 = 35
7 x 6 = 42
7 x 7 = 49
7 x 8 = 56
7 x 9 = 63
7 x 10 = 70
table of 8
8 x 1 = 8
8 x 2 = 16
8 x 3 = 24
8 x 4 = 32
8 x 5 = 40
8 x 6 = 48
8 x 7 = 56
8 x 8 = 64
8 x 9 = 72
8 x 10 = 80
table of 9
9 x 1 = 9
9 x 2 = 18
9 x 3 = 27
9 x 4 = 36
9 x 5 = 45
9 x 6 = 54
9 x 7 = 63
9 x 8 = 72
9 x 9 = 81
9 x 10 = 90
table of 10
10 x 1 = 10
10 x 2 = 20
10 x 3 = 30
10 x 4 = 40
10 x 5 = 50
10 x 6 = 60
10 x 7 = 70
10 x 8 = 80
10 x 9 = 90
10 x 10 = 100
table of 11
11 x 1 = 11
11 x 2 = 22
11 x 3 = 33
11 x 4 = 44
11 x 5 = 55
11 x 6 = 66
11 x 7 = 77
11 x 8 = 88
11 x 9 = 99
11 x 10 = 110
table of 12
12 x 1 = 12
12 x 2 = 24
12 x 3 = 36
12 x 4 = 48
12 x 5 = 60
12 x 6 = 72
12 x 7 = 84
12 x 8 = 96
12 x 9 = 108
12 x 10 = 120
table of 13
13 x 1 = 13
13 x 2 = 26
13 x 3 = 39
13 x 4 = 52
13 x 5 = 65
13 x 6 = 78
13 x 7 = 91
13 x 8 = 104
13 x 9 = 117
13 x 10 = 130
table of 14
14 x 1 = 14
14 x 2 = 28
14 x 3 = 42
14 x 4 = 56
14 x 5 = 70
14 x 6 = 84
14 x 7 = 98
14 x 8 = 112
14 x 9 = 126
14 x 10 = 140
table of 15
15 x 1 = 15
15 x 2 = 30
15 x 3 = 45
15 x 4 = 60
15 x 5 = 75
15 x 6 = 90
15 x 7 = 105
15 x 8 = 120
15 x 9 = 135
15 x 10 = 150
table of 16
16 X 1 = 16
16 X 2 = 32
16 X 3 = 48
16 X 4 = 64
16 X 5 = 80
16 X 6 = 96
16 X 7 = 112
16 X 8 = 128
16 X 9 = 144
16 X 10 = 160
table of 17
17 x 1 = 17
17 x 2 = 34
17 x 3 = 51
17 x 4 = 68
17 x 5 = 85
17 x 6 = 102
17 x 7 = 119
17 x 8 = 136
17 x 9 = 153
17 x 10 = 170
table of 18
18 x 1 = 18
18 x 2 = 36
18 x 3 = 54
18 x 4 = 72
18 x 5 = 90
18 x 6 = 108
18 x 7 = 126
18 x 8 = 144
18 x 9 = 162
18 x 10 = 180
table of 19
19 x 1 = 19
19 x 2 = 38
19 x 3 = 57
19 x 4 = 76
19 x 5 = 95
19 x 6 = 114
19 x 7 = 133
19 x 8 = 152
19 x 9 = 171
19 x 10 = 190
table of 20
20 * 1=20
20*2=40
20*3=60
20*4=80
20*5=100
20*6=120
20*7=140
20*8=160
20*9=180
20*10=200
what is the use of multiplication chart?
A grid including all the times tables is plainly displayed on a multiplication chart. It's a useful tool for remembering multiplication facts. Make a chart of the math multiplication tables and use it for calculations or daily reading. This will aid in your memorization.
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WILL GIVE BRAINLIEST! Please help and explain, thank you! All that is needed is to find the unknown side.
Answer:
X is 9
Step-by-step explanation:
Answer:
On the smaller figure the measures of it are 6 and 3. On the large figure one of the measures is 18. The number 6 and 18 are congruent, and 6 has be tripled in size, so in order to finding the missing measurement, you will simply triple the 3:
3 times 3 = 9
The missing measure is 9.
Step-by-step explanation:
Hope it helps! =D
Which inequality represents the values of x that ensure triangle abc exists? a triangle with side lengths of 6.5 units, 3.5 units, and 2.5 + x units
The inequality that represents the values of x that ensure the triangle ABC exists is 0.5 < x < 7.5
Inequality is a term used in mathematics to represent a relation that makes an unequal comparison between two functions.
As the lengths of the sides of the triangle are 6.5 units, 3.5 units, and 2.5 + x units, we can use the property which states that the sum of two sides of the triangle is always greater than the third side, therefore;
6.5 + 3.5 > 2.5 + x
10 > 2.5 + x
10 - 2.5 > x
x < 7.5
Now we use the property which states that the difference between two sides of the triangle is always less than the third side of that triangle as follows;
6.5 - 3.5 < 2.5 + x
3 < 2.5 + x
3 - 2.5 < x
0.5 < x
Now we combine both values as follows;
0.5 < x < 7.5
Therefore the inequality that represents the values of x is 0.5 < x < 7.5
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if x + ay = b then y equals
Hey there!
[tex]x+ay=b\\[/tex] for y
Add -x to both sides:
[tex]ay+x+-x=b+-x\\ay=b-x[/tex]
Now, let's divide both sides by a:
[tex]\frac{ay}{a} =\frac{b-x}{a}[/tex]
[tex]y=\frac{b-x}{a}[/tex]
Hope this helps!
Solve the equation.
x^2 + 7x = 0
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:x = 0\:\; or \:\: x = -7 [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: {x}^{2} + 7x = 0 [/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: {x}(x + 7) = 0 [/tex]
There are two cases now,
Case 1 :
[tex]\qquad\displaystyle \tt \rightarrow \: x = 0[/tex]
Case 2 :
[tex]\qquad\displaystyle \tt \rightarrow \: x + 7 = 0[/tex]
[tex]\qquad\displaystyle \tt \rightarrow \: x = - 7[/tex]
So, the possible values of x are :
[tex]\qquad\displaystyle \tt \rightarrow \: 0 \: \: and \: \: - 7[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Answer:
[tex]x=0, \quad x=-7[/tex]
Step-by-step explanation:
Given equation:
[tex]x^2+7x=0[/tex]
Factor x from the left side of the equation:
[tex]\implies x(x+7)=0[/tex]
Using the Zero Product Property, set each factor equal to zero and solve for x:
[tex]\implies x=0[/tex]
[tex]\implies x+7=0 \implies x=-7[/tex]
Therefore, the solutions of the equation are:
[tex]x=0, \quad x=-7[/tex]
Zero Product Property: If a⋅b = 0 then either a = 0 or b = 0 (or both).
What is the equation of the line that passes through the point
(3,-7) and has a slope of -4/3
Using point-slope form, the equation is [tex]y+7=-\frac{4}{3}(x-3)[/tex].
Answer:
y = - [tex]\frac{4}{3}[/tex] x - 3
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
here m = - [tex]\frac{4}{3}[/tex] , then
y = - [tex]\frac{4}{3}[/tex] x + c ← is the partial equation
to find c substitute (3, - 7 ) into the partial equation
- 7 = - 4 + c ⇒ c = - 7 + 4 = - 3
y = - [tex]\frac{4}{3}[/tex] x - 3 ← equation of line
Which type of triangle matches the V
following description?
A polygon with 2 sides of length 148 mm
and 2 sides of length 240 mm.
Equilateral
ölölőló
Isosceles
Scalene
Not a triangle
skill code: 1601101
Answer:
Isosceles
Isosceles triangles have 2 side the same length and one side different
!!!!!!!!!!!!!!URGENT!!!!!!!
Some information is given about each sphere. Order them from least volume to greatest volume. You may sketch a sphere to help you visualize if you prefer. Sphere A: Has a radius of 4 Sphere B: Has a diameter of 6 Sphere C: Has a volume of 64 Sphere D: Has a radius double that of sphere B.
The least volume to greatest volume will be sphere B, sphere C, sphere A and sphere D.
What will be the volume of the sphere?The volume of the sphere is calculated as:
= 4/3 πr³
where r = radius
The volume of sphere A will be:
= 4/3 πr³
= 4/3 × π × 4³
= 85.3π
The volume for sphere B will be:
= 4/3 πr³
= 4/3 × π × (6/2)³
= 4/3 × π × 3³
= 36π
The volume for C is given as 64π.
The volume for D has a radius double that of B. This will be Radius = 3 × 2 = 6
= 4/3 πr³
= 4/3 × π × 6³
= 288π
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Solve the following proportion for v.
8/17=v/7
Round your answer to the nearest tenth.
Answer:
your answer is 3.3
Step-by-step explanation:
6. If a = 2, b = 3, Evaluate 15-ab. Show all your work.
Answer:
9
Step-by-step explanation:
15-2*3
15-6
9
Jesus loves u hope it helps
Step-by-step explanation:
that means "calculate the result with these values".
the expression is
15 - ab
or
15 - a×b
for a = 2, b = 3 this gives us
15 - 2×3 = 15 - 6 = 9