63 - 2.95 = 60.05
Rounding using significative figures
63 has three significative figures
2.95 has three
So, we must round the result to 2 significative figures.
Result = 60
Does anyone have the answer for question 18?
Answer:
adef
Step-by-step explanation:
lect the correct answer.
Under which condition is the sample proportion, , a point estimate of the population proportion?
A.
The sample proportion is never a point estimate of the population proportion.
B.
The sample represents a proportion of the population.
C.
The sample proportion is unbiased.
D.
The sample size, n, is small enough.
Reset Next
The correct answer is B. The sample represents a proportion of the population.
What is the sample population ?
A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.
The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.
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Check whether x = -3 is a solution to the equation. Justify your result.
x/3 - 6 - 5 = -12
(show work)
The value of x i.e., x = -3 is a solution to the equation which is (x/3) - 6 - 5 = -12.
What do you mean by algebraic expressions ?
Algebraic expression is an equation which consists of variables and the arithmetic operations such as division , multiplication , etc.
It is given that x = -3 is a solution to the equation which is x/3 - 6 - 5 = -12 .
This equation is a form of algebraic expression which is expression which consist of a variable and arithmetic operations.
Let's check out that whether this equation is true for x = -3 . To be true both sides of the equation must be equal.
So , the equation is :
(x/-3) - 6 - 5 = -12
If we put x = -3 in the above equation :
(3/-3) - 6 - 5 = -12
-1 - 6 - 5 = -12
-1 - 11 = - 12
-12 = -12
So , for x = -3 equation is satisfied.
Therefore , the value of x i.e., x = -3 is a solution to the equation which is (x/3) - 6 - 5 = -12.
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Using Additive Inverse to Factor by Grouping
Factor the polynomial 4x4-20x²-3x² + 15 by grouping. What is the resulting expression?
O (4x²+3)(x2²-5)
O (4x²-3)(x²-5)
O (4x² - 5)(x²+3)
O (4x²+5)(x²-3)
Let a=\(4x^{4} -20x^{2} -3x^{2} +15\) . So the resulting polynomial after factorization is a= \((4x^{2} -3)(x^{2} -5)\).
What is polynomial?A polynomial is an expression that only uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates.
How do you identify a polynomial?In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.
Let
\(a=4x^{4}-20x^{2} -3x^{2} +15\\=4x^{4} -3x^{2} -20x^{2} +15\\=x^{2} (4x^{2} -3)-5(4x^{2} -3)\\=(4x^{2} -3)(x^{2} -5)\)
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The summer has ended and it’s time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of water in the pool. The pool is empty after 70 minutes. Calculate the rate that the water is draining out of the pool. (Hint: remember this line is sloping down to the right) (3 marks) Rate=0-45000/70-20 Rate = (0 - 45000) / 70-20 Rate = -45000 / 50 Rate=-900/minute b) Calculate how much water was in the pool initially (at time 0). (2 marks)
Answer:
there were 63,000L of water initially in the pool
Step-by-step explanation:
do 900L times the first 20 minutes to find out how much water was drained during the first 20 minutes and you get 18,000L drained
then, add 18,000L plus the rest of the 45,000L of water drained from the pool to get 63,000L of water intially in the pool
what is the inequality of this and step by step explanation please
The inequality graphed on the number line can be written as:
-3 ≤ x < 2
How to identify the inequality?Here we can see an inequality graphed on a number line, we can see that we start with a closed circle at x = -3
A closed circle means that x = -3 is a solution.
And we can see that it ends with an open circle at x = 2, the open circle means that the point is not a solution.
Then the inequality thati is shown in the number line is written as:
-3 ≤ x < 2
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paula bought an electric drill at 75% of the regular price.She paid 32.90 for the drill. What was the regular price?(round to the nearest cent)
Answer:
$43.87.
Step-by-step explanation:
let the regular price be x, then
0.75x = 32.9
x = 32.9 / 0.75 = $43.87
Answer:
43.87
Step-by-step explanation:
Let the regular price be T
T x 75% = 32.903T/4 = 32.903T = 4 x 32.903T = 131.60T = 43.87Every 2 centimeters on a floor plan represents
meters of the house. The dining room is 8 cm by
10 cm on the floor plan, and the bedroom is 6cm by10cm on the floor plan. If installing tile costs $34
per square meter and installing carpet costs $21 per
square meter, how much would it cost to install tile
in the dining room and install carpet in the bedroom?
Show your work.
Given statement solution is :- It would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.
To find the cost of installing tile in the dining room and carpet in the bedroom, we need to calculate the areas of both rooms first.
Given:
Every 2 centimeters on the floor plan represents 1 meter of the house.
Dining Room:
On the floor plan, the dining room is 8 cm by 10 cm.
Converting this to meters, the dimensions of the dining room are 8 cm / 2 = 4 meters by 10 cm / 2 = 5 meters.
The area of the dining room is 4 meters * 5 meters = 20 square meters.
Bedroom:
On the floor plan, the bedroom is 6 cm by 10 cm.
Converting this to meters, the dimensions of the bedroom are 6 cm / 2 = 3 meters by 10 cm / 2 = 5 meters.
The area of the bedroom is 3 meters * 5 meters = 15 square meters.
Now, let's calculate the costs.
Cost of Tile:
The cost of installing tile is $34 per square meter.
The area of the dining room is 20 square meters.
Therefore, the cost of installing tile in the dining room is 20 square meters * $34/square meter = $680.
Cost of Carpet:
The cost of installing carpet is $21 per square meter.
The area of the bedroom is 15 square meters.
Therefore, the cost of installing carpet in the bedroom is 15 square meters * $21/square meter = $315.
Therefore, it would cost $680 to install tile in the dining room and $315 to install carpet in the bedroom.
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Which of the following factors does not affect the mortgage payment?
A. The down payment
B. Interest rates
C. The neighborhood the home is located in
D. The borrower's credit score
Answer:
I think D does not affect t
The correct factors which does not affect the mortgage payment is,
⇒ The neighborhood the home is located in.
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.
Since, We know that;
A mortgage can be defined as a loan where ones property is used as a collateral. The mortgage payment is based on property price, interest rate, down payment, the term of the loan, taxes, various insurance like homeowners insurance etc.
Hence, It's not depend on ''The neighborhood the home is located in.''
Option C is true.
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Determine the equation (picture).
The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.
How to find equation of a line?The equation of a line can be describe as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, lines that a perpendicular follows the rule below:
m₁m₂ = -1
Hence,
y + 6 = 3 / 4 (x - 2)
y + 6 = 3 / 4 x - 6 / 4
y = 3 / 4 x - 6 / 4 - 6
y = 3 / 4 x - 30 / 4
y = 3 / 4 x - 15 / 2
Hence,
3 / 4 m₂ = -1
m₂ = - 4 / 3
Therefore,
slope of the line is - 4 / 3
Let's find the y-intercept of the second line
4x + 5y -20 = 0
5y = -4x + 20
y = -4 / 5 x + 4
y-intercept = 4
Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.
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I have to do step by step why the answer of (5x - 1) (5x - 1) is 25x^2 - 10x + 1.
How do i do it?
(5x - 1) (5x - 1)
Ans: 25x^2 - 10x + 1
Answer:
Step-by-step explanation:
(5x - 1) (5x - 1)
= \((5x - 1)^{2}\)
Using laws of exponents,
\((a - b)^{2} = a^{2} - 2ab + b^{2}\)
here, a = 5x, b = 1
so it becomes,
\(5x^{2}\) - 2 × 5x × 1 + \(1^{2}\)
\(25x^{2}\) - 10x + 1
Hope this helps
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Consider a scenario in which each person is an island. In this scenario, James and Kate engage in international trade with each other.
James is lactose intolerant and only produces cheese. Kate is caffeine intolerant and only produces coffee. Thus, both "countries" export all their production to the other. This month James produced 23
pounds of cheese and Kate 13
pounds of coffee. For simplicity, assume that they share a common currency (the US dollar) and that the price of a pound of coffee is $1, the same as a pound of cheese.
Who has a negative trade balance with the other country?
Answer:
Katie has a negative trade balance of -$10.
Step-by-step explanation:
James exports 23 pounds for $23 and Katie exports 13 pounds for $13.
Jamie $23 - $13 = $10
Katie $13 - $23 = -$10
Which line is perpendicular to a line that has a slope of -5/6?
Answer:
Line LM
Step-by-step explanation:
First, we need to know what the slope is of a line that would be perpendicular to a line with a slope of -5/6. To find this, we take the reciprocal and multiply it by -1. Therefore, the line we are looking for needs to have a slope of 6/5.
Based on the fact that the slope is positive, we can eliminate lines PQ and JK as they have a negative slope. This leaves us with lines LM and NO.
To find out whether or not it is between LM and NO, you could eyeball it by looking at the graph and simply counting which might be faster if you understand how to do that (rise/run), or you can use the pair of coordinates given to you on each line to calculate for slope.
Line LM - \(\frac{-3-3}{-5-0}=\frac{-6}{-5}=\frac{6}{5}\)
Line NO - \(\frac{-5-0}{-6-0}=\frac{-5}{-6}=\frac{5}{6}\)
Based on this, we know that line LM is perpendicular to a line that has a slope of -5/6.
If you need help on calculating slope from two points, I'd suggest watching this video: https://www.brightstorm.com/math/algebra/linear-equations-and-their-graphs/finding-the-slope-of-a-line-from-2-points-problem-1/#:~:text=Use%20the%20slope%20formula%20to,second%20points%20are%20x2%2C%20y2.
HII
Plsssss what is 63×7335+7456
Answer:
5346
Step-by-step explanation:
hi are u new the 63×7335
help help help
....................
Answer:
77
Step-by-step explanation:
There are 415 third graders and 338 second grades the question is asking how many more third graders are there than second graders, so its asking for the difference between them:
415 - 338 = 77
There are 77 more third graders than second graders
Two increased by the product of a number and 7 is at most -29
The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.
The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.
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The number that satisfies the equation is x = -31/7. This means that if we increase two by the product of a number and 7, the result is at most -29 if the number is -31/7.
The expression we need to solve is "Two increased by the product of a number and 7 is at most -29". We can express this as 2 + x × 7 ≤ -29 where x is the number we need to find.In order to solve this equation, we need to start by isolating the variable x. We can subtract 2 from both sides of the equation to get x × 7 ≤ -31. Then, we divide both sides of the equation by 7 to get x ≤ -31/7.Therefore, the number that satisfies the equation is x = -31/7. This means that if we two by the product of a number and 7, the result is at most -29 if the number is -31/7.
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The question is in the picture.
Easy way to do this, divide 24 with 3, you will get 8. That means 8 is 1/3 of 24. To get 2/3 you just add 8+8 which equals to 16
solve for the missing value
1/2:4=1/3:x
what is the equation of the line that is perpendicular to the line y=-3x+2 and passes through (3,-1)
Answer:Answer: y=x/3−2.
Step-by-step explanation:
find the equation of the line perpendicular to the line y=2−3x passing through the point (3,−1).
The equation of the line in the slope-intercept form is y=2−3x.
The slope of the perpendicular line is negative inverse: m=13.
So, the equation of the perpendicular line is y=x3+a.
To find a, we use the fact that the line should pass through the given point: −1=(13)⋅(3)+a.
Thus, a=−2.
Therefore, the equation of the line is y=x3−2.
Answer: y=x/3−2.
Four people recorded the number of minutes they exercised today. Mackenzie exercised for 3 as many minutes as Brinley. Brinley exercised for 17 fewer minutes than Ariana. Ariana exercised for 3 times as many minutes as Seth Together, Ariana and Mackenzie exercised for 20 more minutes than Brinley and Seth. Let z represent the number of minutes Seth exercised.
Answer:
False
True
True
False
Yw hope this helped yall
Step-by-step explanation:
The equation represents this situation is
3x + 1/2 x (3x + - 17) = x + (3x - 17 ) + 20 — False
x = 40 — True
Brinley and Seth exercised for a combined 95 minutes —-True
Mackenzie exercised for 26 minutes. — False
help pls. the question is in the picture at the top.
Answer:
solve for 6x+8
Answer:
x = 3
Step-by-step explanation:
Since ∠ P and ∠ S are congruent then the triangle is isosceles and
PT = TS , substitute values
7x + 4 = 5x + 10 ( subtract 5x from both sides )
2x + 4 = 10 ( subtract 4 from both sides )
2x = 6 ( divide both sides by 2 )
x = 3
What is the rate of change of y with respect to x for this function?
Answer:
-9/2
Step-by-step explanation:
A spherical chocolate covered candy hasa diameter of 8cm. 4Part of the candy is a chocolate shell thatis .5cm thick.What is the volume ofjust the chocolate shell?
We want to calculate the volume of the spherical shell of chocolate.
The chocolate shell is spherical with a thickness of 0.5cm
Volumes of spherical shells can be calculated with the formula;
\(V_{shell}=\frac{4}{3}\pi(R^3-r^3)\)The outer diameter is 8cm. The outer radius is therefore 4cm
The inner diameter is 8-2(0.5)=7cm. The inner radius is therefore 3.5cm
Therefore, we can find the volume of the chocolate shell as;
\(V_{shell}=\frac{4}{3}\pi(4^3-3.5^3)=88.5\operatorname{cm}^3\)Therefore,
\(V_{shell}=88.5\operatorname{cm}^3\)Which of the following rational functions is graphed below?
Answer:
A
Step-by-step explanation:
If you were to substitute 2 or -3 into equation A, the denominator would be zero and you would have to divide by zero. Thus there are asymptotes for this function at -3 and 2, matching the graph
795 times 12 then add 6754 then divided by 7
Answer:
795 * 13 + 6754 / 7 = 2,327.71
Step-by-step explanation:
795 * 13 + 6754 / 7 = 2,327.71
C) Work out 3/4 × 5 (Give your answer as the simplest mixed fraction).
Answer: 3 ¾
------------------
Answer:
15/4=3 3/4
Step-by-step explanation:
3 and 3/4 is the awnser
help and get brainiest
C
the coins worth should be times the number of coins (dimes/quarters)
The same video is uploaded to a different website.There are also 100 views in day one ,but 400 views on day 2and 1,600 views on day 3.explain how the explicit and rescursive formula change .
The explicit formula of the geometric sequence is given as follows:
\(a_n = 100(4)^{n-1}\)
The recursive formula of the geometric sequence is given as follows:
f(n + 1) = 4f(n).f(1) = 100.What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio (q). In other words, a geometric sequence is a sequence where each term is a fixed multiple of the previous term.
The explicit formula of the sequence is given as follows:
\(a_n = a_1q^{n-1}\)
In which \(a_1\) is the first term.
For the recursive formula, we just take the first term and each consecutive term is the previous term multiplied by the common ratio.
There are 100 views in day one, hence the first term is given as follows:
\(a_1 = 100\)
The number of viewers is multiplied by 4 each day, hence the common ratio is given as follows:
q = 4.
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I bought a bag of Twizzlers for $2.25. If 12 ropes are 40% of the bag, how many total ropes of Twizzlers are in the bag?
Answer:
28
Step-by-step explanation:
40-12=
Find the value of x.
x = ___