Their speed in terms of square feet per minute is 3/10 square feet per minute.
We know that the speed formula is the rate at which an object travels a given distance. Speed is defined as the distance traveled by a body in a given amount of time. Speed in the SI is measured in m/s.
Given that the distance = 1/5 square feet.
The time = 2/3 minute.
Speed = distance/time = (1/5)/(2/3) = (1/5)*(3/2) = 3/10
Therefore, we can conclude that their speed in terms of square feet per minute is 3/10 square feet per minute.
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Using a left endpoint riemann sum approximation with four equal subintervals, the approximate value of integral from 0 to 8 g(x) dx is:
Subdividing [0, 8] into 4 equally-spaced subintervals, each one will have length ∆x = (8 - 0)/4 = 2, and the partition is
[0, 2] U [2, 4] U [4, 6] U [6, 8]
We approximate the integral with a left endpoint sum. The left endpoint of the i-th subinterval is
[tex]\ell_i = 2(i-1)[/tex]
where 1 ≤ i ≤ 4.
Then the integral is approximated by
[tex]\displaystyle \int_0^8 g(x) \, dx \approx \sum_{i=1}^4 g(\ell_i) \Delta x \\\\ = 2 (g(0) + g(2) + g(4) + g(6)) \\\\ = 2 (-1 - 3 - 1.25 - 1.5) = \boxed{-13.5}[/tex]
Find the length of the unknown side. Round your answer to the nearest whole number.
Image of a right triangle with legs labeled 7 meters each. The hypotenuse is unknown.
7 meters
9 meters
10 meters
12 meters
Answer: 10
Step-by-step explanation:
√( 7^2 + 7^2 ) = 10
Evaluate -3x² + 4x-2 for x = 2.
A. -2
B. -1
C. -6
D. 18
Answer:
C. -6
Step-by-step explanation:
-3(2)²+4(2)-2
-3(4) + 8 - 2
-12+8-2
-14+8
-6
Select the correct answer.
Which function is the inverse of ?
Answer:
B. [tex]f^{-1}(x) = \frac{x + 3}{9}[/tex]
Step-by-step explanation:
[tex]let \space\ y = f(x)\\\\y = 9x -3\\[/tex]
• Now make x the subject of the equation:
[tex]9x = y + 3\\\\x = \frac{y + 3}{9} \\[/tex]
• Replace x with f⁻¹(x) and y with x:
[tex]f^{-1}(x) = \frac{x + 3}{9}[/tex]
A triangle has the dimensions shown. The perimeter of the triangle would be represented by which type of expression?
linear expression
quadratic expression
exponential expression
rational expression
The third side is a linear expression , Option A is the right answer.
The missing diagram is attached with the figure.
What is a Triangle ?A triangle is a polygon with three sides , three vertices , three angles .
It is given that the side of the triangle as 3x+1 , 5x-2 , y
Perimeter is given as 10x-1
Perimeter = 3x+1 +5x-2 + y = 10x-1
8x -1 +y = 10x -1
y = 2x
which is a linear expression.
Therefore the third side is a linear expression , Option A is the right answer.
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Enlarge shape by scale factor 3
Explanation:
When you change the size of a shape by a scale factor ("enlarge" means increasing the shape by a scale factor > 1), you increase all dimensions of that shape by a factor.
For example, if a rectangle's length is 2 units [two boxes in this case]. you make that size 6 units [2 · 3 = 6]; and if its width is 1 unit, you make that 3 units [1 · 3 = 3]
[scaling up our dimensions:]
So, we apply the same logic here. Any side length is now three times longer, so when the original length [along the bottom] was two boxes, that should now cover 6 boxes.
The height of 1 box [left side] will now be expanded to 3 boxes.
The other height of 2 boxes will now be 6 boxes [2 · 3 = 6]
The slanted portion should be easy to connect between your new side lengths and width
[but you could always use Pythagorean theorem to figure out the length; it would be 1² + 2² = c², or 5 = c², so the literal length of this side would be √5 ; you probably aren't expected to do this / you don't have to]
You didn't show the new graph to graph it on, but this is how you would graph it.
hope this helps!! have a lovely day :)
There are 135 people in a sport centre.
73 people use the gym.
59 people use the swimming pool.
31 people use the track.
19 people use the gym and the pool.
9 people use the pool and the track.
16 people use the gym and the track.
4 people use all three facilities.
How many people didn't use any facilities?
Answer:
200wuwusjjdhsuauuaiajjduwiqisidiwiwia
Answer:
n(U) = n(G)+n(S)+n(T)-n(GnS)-n(GnT)-n(TnS)+n(GnTnS) + n(GnTnS)^c
135= 73+59+31-19-9-16+4+ n(GnTnS)^c
no. of people not using any facility =12
A cube has edges measuring 8 centimeters.
Find its surface area.
(please)
Evaluate:
2/3 + 4/5 x 7/5 - 8/3
Step-by-step explanation:
please mark me as brainlest
Answer:
-0.88
Explanation:
2/3 + 4/5 x 7/5 - 8/3
2/3 + 28/25 - 8/3
2/3 - 8/3 + 28/25
-6/3 + 28/25
-2 + 28/25
-50/25 + 28/25
-22/25
-0.88
A building in a city has a rectangular base. the length of the base measures 65 ft less than twice the width. the perimeter of this base is 890 ft. what are the dimensions of the base? the width of the base is ft.
By solving a system of equations, we will see that the width is 170ft and the length 275 ft.
How to get the dimensions of the base?
For a rectangle of length x and width y, the perimeter is:
P = 2*(x + y).
Here we know that:
x = 2y - 65ft
p = 890ft = 2(x + y)
So we have a system of equations.
To solve this, we need to replace the first equation into the second one:
890ft = 2(x + y)
890ft = 2(( 2y - 65ft) + y)
Now we can solve this for y.
890ft = 4y - 130ft + 2y
890ft + 130ft = 6y
1020ft/6 = y = 170ft
So the width is 170ft, and we know that:
x = 2y - 65ft = 2*(170ft) - 65ft = 275ft
So the length is 275 ft.
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Work out the length of x.
Give your answer rounded to 3 significant figures.
8.6 cm+
x
The diagram is not drawn accurately.
Answer:
12.2cm
Step-by-step explanation:
Follow the steps in the image I send you to learn it if you don't get it tell me.
A researcher finds that the more hours students party per week, the lower their gpas (grade point averages). she questions whether there may be other issues affecting the students' gpas that weren't taken into account, such as the number of hours spent studying, class attendance, or the number of hours worked at campus jobs. what are these additional factors called
Answer:
I believe "uncontrolled variables."
Step-by-step explanation:
Since there was no measure, nor control, of these other variables, the data may be questionable.
Simplify [tex]\sqrt{18}. \\[/tex]
[tex]A; 2\sqrt{3} \\B; 2\sqrt{9} \\C; 3\sqrt{2} \\D; 9\sqrt{2} \\[/tex]
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{Option C, 3}\sqrt{2}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\sqrt{18}[/tex]
Find: [tex]\textsf{Simplify the expression}[/tex]
Solution: In order to get a number outside of the square root there must be two of them inside of the square root. The first step that we need to take is to break down the number 18 into it's lowest factors and then take out the numbers can be taken out.
Break down the number 18
[tex]\sqrt{18}[/tex][tex]\sqrt{\textsf{2 * 3 * 3}}[/tex][tex]\sqrt{\textsf{2 * 3}^2}[/tex]Take 3 outside of the square root
[tex]\sqrt{\textsf{2 * 3}^2}[/tex][tex]\textsf{3}\sqrt{\textsf{2}[/tex]Therefore, the option that would best match the results that were solved for is option C, [tex]\textsf{3}\sqrt{\textsf{2}[/tex]
what is the solution to this equation? 8(e)^2x+1=4
Answer:
Exact Form:
x=3/8e^2
Decimal Form:
x=0.05075073…
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
A four-person committee is chosen from a group of eight boys and six girls.
If students are chosen at random, what is the probability that the committee consists of all boys?
•4/1001
• 15/1001
•10/143
•133/143
Answer:
The answer is 10/143
Step-by-step explanation:
Can someone help me on this please
Answer:
17.7 (2 dp)
Step-by-step explanation:
[tex] \sqrt{ {16}^{2} + {7.5}^{2} }[/tex]
Consider a quadrilateral with vertices A(2,2) , B(2,5) , C(7,2), and D(7,5). What is the shape and area of quadrilateral ABCD
Answer:
Shape is rectangle
Area of rectangle = length * width
= 5 * 3
= 15 units²
Construct a truth table for the following symbolic statement.
Use the type of truth table where each variable or operator in the given expression has its own column. Fill in the rows of the truth table one at a time.
The truth table is completed for each column as T T F F T T T
What is a truth table?A truth table is a mathematical table which shows all the truth values of a given combination of logic statements.
Analysis:
The truth table is shown in the attached file
in the attached file, the first two columns were given,
The third column is the negation of p, and P is true(T) which means its negation is false(F).
The fourth column is the negation of Q, which means Q is true(T) so its negation is false(F).
In the fifth column, negation P is implies negation Q. The truth table for implication, is only false if Q is false, else it is True.
Same as in the sixth column.
The last column is bi-implication, the truth table for this only true, if both statements are false or both are true else, it is false.
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What two numbers differ by 46. (29,17,38,71,35,63,24)
Answer: 63 and 17 differ by 46.
Step-by-step explanation:
63-17=46
Subtraction is what you do when trying to find the difference of something.
This year, a small business had a total revenue of $44,100. If this is 26% more than their total revenue the previous year, what was their total revenue the previous year?
Answer:
look at the picture .
Step-by-step explanation:
look at the picture .
Help yalllll question is in the pic
Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
-m-2=2+
m
O 2
O 3
04
O 5
8x3+70÷7-7
tell accordingly the correct answer will be marked as brainliest
Answer:
27
Step-by-step explanation:
When solving complicated equations like this, we need to remember the order of operations (PEMDAS), which is the order that we solve an equation
P arentheses
E xponents
M ultiplication
D ivision
A ddition
S ubtraction
now, here's the thing: we actually to multiplication/division at the same time, and the same thing with addition/subtraction
(as in, adding -4 is the same thing as subtracting 4, so we can't truly make a distinction between the two)
so, when we have multiple instances of multiplication/division , we solve left to right
(and then the same thing for addition/subtraction)
8 × 3 + 70 ÷ 7 - 7
so, we first need to multiply 8 by 3
8 × 3 = 24
next, we move to the right:
and we divide 70 by 7
70 ÷ 7 = 10
let's rewrite our equation:
(24) + (10) - 7
24 + 10 - 7 = 27
so, the answer to this expression is 27
hope this helps!! have a lovely day :)
Select all that apply. Which of the following corresponds to absolute zero?
In thermodynamic system, Absolute Zero is that temperature implies Lowest energy level i.e. option a) 0 K or -273° C.
What is Absolute Zero?
Absolute Zero can describe as, in a thermodynamic system, there are certain energy levels depending upon the potentials of temperature. At Absolute zero the potentials of temperature are 0 K in Kelvin scale and -273° C in Celsius scale.
The question seem's to be incomplete. The option could be.
a) 0 K and -273° C
b) 273 K and 0° C
c) -273 K and 0° C
d) 0 K and 273° C
Hence, As per theory Value of The absolute zero is 0 K and -273° C
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Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.
2.3p – 10.1 = 6.4p – 4
2.3p – 10.1 = 6.49p – 4
230p – 1010 = 650p – 400 – p
23p – 101 = 65p – 40 – p
2.3p – 14.1 = 6.4p – 4
An expression is defined as a set of numbers, variables, and mathematical operations.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The expression that is equivalent to 2.3p – 10.1 = 6.5p – 4 – 0.01p are given below,
If the given expression 2.3p – 10.1 = 6.5p – 4 – 0.01 is simplified, then the expression can be written as,
2.3p – 10.1 = 6.5p – 4 – 0.01
2.3p – 10.1 = 6.49p – 4
Thus, Option A is one of the option.
Using the multiplication property of Equality, if we multiply both the sides of the equation by 100, then we will get,
230p – 1010 = 650p – 400 – p
Thus, c is one of the option.
Hence, the correct options are A and C.
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This is math proportion :
I change $60 into 45 euros
How many euros would i get for 50$?
Answer:
33.75 Euros
Step-by-step explanation:
Trust me bro, I did the working.
Jaime makes the following claim.
An angle with a measure of π/3 radians in a circle with a radius of 3 inches is smaller than an angle with a measure of π/3 radians in a circle with a radius of 6 inches. This is because the radian measure is based on the length of the radius of the circle and a radius of 3 inches is smaller than a radius of 6 inches.
1. Review Jaime’s statement and what you know about angles and radians.
a. Explain whether you agree with Jaime’s statement or not.
b. Provide examples to support your whether you agree or disagree.
In the case above, Jaime claim is true.
The explanation to agree with Jaime’s statement or not is that the longer the length of the radius, the longer the length of the arc.What is the claim about?1. Note that radian measure:
= [tex]\frac{60° }{360°}[/tex] x 2π x 3
= 1/6 x 6π
= π
2. Note that radian measure:
= [tex]\frac{60° }{360°}[/tex] x 2π x 6
= 1/6 x 2π x 6
=2π
So we can write it as:
π/3 x 180°/π = 60°
Therefore, via the solution above, Jaime claim is true.
3. Note that: Radian measures: the percentage of arc measures x 2π x radius and so one can say that The explanation to agree with Jaime’s statement or not is that the longer the length of the radius, the longer the length of the arc.
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two identified lines are graphed below how many solutions are there to the system of equations?
Can someone help me out with this problem
From the given options the options B and C are correct for the given equation.
we have given the equation,
70=10+12r
We have to determine the correct option
What is the equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign.
Therefore from the given options the options B and C are correct for the given equation.
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pls help asap!!!!
Which number best represents the slope of the graphed line?
Answer:
C: 1/2
Step-by-step explanation:
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: C. \cfrac{1}{2}[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex] \textsf{Slope of line - } [/tex]
[tex]\qquad \tt \rightarrow \: m = \cfrac{rise}{run} [/tex]
[tex]\qquad \tt \rightarrow \: m = \cfrac{0 - ( - 4)}{8 - 0} [/tex]
[tex]\qquad \tt \rightarrow \: m = \cfrac{ 4}{8 } [/tex]
[tex]\qquad \tt \rightarrow \: m = \cfrac{ 1}{2} [/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞