Which of these numbers is greater than 2.25 but less than 1? Is it 1 or 1.5 or 0 or 2.5
Answers
Answer:
the answer is 1.5 because converting them into their fractional form indeed informs u that 1.5 is thus greater than 2.25 BT lesser than 1
Related Questions
The ratio of minutes to dry and minutes to
wash is 4:3. How many minutes will a load
need to wash it if takes 56 minutes to dry?
Answers
Answer:
56:42 (i hope this is right)
Step-by-step explanation:
I divided 56 and 4 which makes 14. Then I multiplied 14 and 3 to get 42. So 56 by 42.
the surface of a circular swimming pool has an area 25 pi square feet what is the circumference of the pool
Answers
The area of a square is computed as follows:
\(undefined\)If a case of 24 water bottles is $8 per case, how much are you paying for each bottle?
Answers
Find the volume of the solid obtained by rotating the region underneath the graph of the function over the given interval about
the y-axis.
f(x)=√x² +9, [0,2]
(Use symbolic notation and fractions where needed.)
Answers
The volume of the solid obtained by rotating the region over the function is given by the integral and V = 44.46 units³
Given data ,
The volume of the solid obtained by rotating the region underneath the graph of the function f(x)=√x² +9 over the interval [0,2] about the y-axis
The formula for Area under definite integral is
∫ₐᵇ f ( x ) = f ( b ) - f ( a )
Since we are rotating the region about the y-axis, the radius is simply the x-coordinate of each point on the curve, or r = x
The height h of each shell is equal to the difference between the y-coordinates of the curve at x and x + Δx, or h = f(x + Δx) - f(x)
Using these expressions for r and h, we can write the volume of each cylindrical shell as:
V(x) = 2πx[f(x + Δx) - f(x)]Δx
V = ∫₀² 2πx[f(x + Δx) - f(x)]dx
As Δx approaches zero, this integral becomes:
V = ∫₀² 2πx√(1 + (f'(x))²) dx
where f'(x) is the derivative of f(x), which is:
f'(x) = x/√(x² + 9)
Substituting this expression for f'(x) into the integral, we get:
V = ∫₀² 2πx√(1 + (x/√(x² + 9))²) dx
This integral can be evaluated using a substitution, u = x² + 9, du/dx = 2x, and dx = du/2x, to get:
V = ∫₉¹³ 2π(x² + 9)^(3/2)/2 dx
V = [4/5 π(x² + 9)^(5/2)]₉¹³
V = 44.46 units³
Hence , the volume of the solid is 44.46 units³
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Write the nth term of the arithmetic sequence 2,6,18,54 find the 10th term of the sequence
Answers
Answer:
Step-by-step explanation:
Givens
t1 = 2
r = 3
n = 10
Formula
tn = a*r^(n -1) Substitute the givens into the this formula
Solution
t10 = 2 * 3^(10 - 1)
t10 = 2 * 3^9
t10 = 2 * 19683
t10 = 39366
Answer: 39366
An HVAC technician is comparing pension plans for two different job offers. First offer: $58,000 average annual wage, 1.6% per year of service, with a monthly pension payment of $1,546.67 after 20 years of service Second offer: $64,900 average annual wage, 1.3% per year of service The technician plans to work for the same amount of time at each company. What is the difference in monthly pension payments?
Answers
Answer:
First, we need to calculate the total amount of the pension for the first offer:
$58,000 x 0.016 x 20 = $18,560 per year
Then, we can calculate the monthly pension payment:
$18,560 / 12 = $1,546.67 per month
For the second offer, we need to calculate the annual pension amount:
$64,900 x 0.013 x 20 = $16,828 per year
And then the monthly pension payment:
$16,828 / 12 = $1,402.33 per month
Finally, we can calculate the difference in monthly pension payments:
$1,546.67 - $1,402.33 = $144.34
Therefore, the difference in monthly pension payments is $144.34.
What are the x-intercepts for the quadratics below: (show all work HHHHHHHHEEEEEEELLLLLLLLPPP
1. x2 - 7x - 18
2. 2b2 + 17b + 21
Answers
9514 1404 393
Answer:
{-2, 9}{-7, -1.5}Step-by-step explanation:
Finding the x-intercepts means finding the solutions to ...
equation = 0
There are a number of ways you can do this, including ...
the quadratic formularewriting to vertex form and solvingfactoringgraphingasking on BrainlyOften, these can be solved fairly easily by factoring. The methods used for a leading coefficient of 1 and for leading coefficients other than 1 are not so different. In general, you are looking for factors of a number that have some particular sum. Familiarity with multiplication tables is helpful for this.
__
1. x^2 -7x -18 = 0
You want factors of -18 that have a sum of -7.
-18 = -18(1) = -9(2) = -6(3) . . . . . sums are -17, -7, -3
The factors -9 and 2 are the ones of interest here. These make up the constants in the binomial factors of the expression:
x^2 -7x -18 = (x -9)(x +2)
The x-intercepts are the values of x that make these factors zero. Basically, they are the opposites of the factor constants:
x -9 = 0 ⇒ x = 9
x +2 = 0 ⇒ x = -2
The x-intercepts are -2 and 9.
__
2. 2b^2 +17b +21 = 0
You work this almost the same way, but you're looking for factors of (2)(21) = 42 that have a sum of 17. That is, the leading coefficient multiplies the constant to give the number being factored.
42 = 1(42) = 2(21) = 3(14) = 6(7) . . . . sums are 43, 23, 17, 13
The factors 3 and 14 have a sum of 17.
When the leading coefficient is not 1, several methods are taught for finding the binomial factors. One that works is to rewrite the middle (linear) term using the factors found, then factor by grouping pairs of terms:
(2b^2 +3b) +(14b +21) = 0
b(2b +3) +7(2b +3) = 0
(b +7)(2b +3) = 0
The same deal applies for finding the x-intercepts. They are the values of x that make these factors zero:
b +7 = 0 ⇒ b = -7
2b +3 = 0 ⇒ b = -3/2
The x-intercepts are -1.5 and -7.
_____
I attached the graph of these expressions to show the correctness of the above, and to illustrate my favorite way to answer these questions: let a graphing calculator show the answer.
if you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up as a 3 or a 4?
Answers
Using the binomial distribution, it is found that there is a 0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
For each die, there are only two possible outcomes, either a 3 or a 4 is rolled, or it is not. The result of a roll is independent of any other roll, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
There are 9 rolls, hence \(n = 9\).Of the six sides, 2 are 3 or 4, hence \(p = \frac{2}{6} = 0.3333\)The desired probability is:
\(P(X \geq 2) = 1 - P(X < 2)\)
In which:
\(P(X < 2) = P(X = 0) + P(X = 1)\)
Then
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{9,0}.(0.3333)^{0}.(0.6667)^{9} = 0.026\)
\(P(X = 1) = C_{9,1}.(0.3333)^{1}.(0.6667)^{8} = 0.117\)
Then:
\(P(X < 2) = P(X = 0) + P(X = 1) = 0.026 + 0.117 = 0.143\)
\(P(X \geq 2) = 1 - P(X < 2) = 1 - 0.143 = 0.857\)
0.857 = 85.7% probability that at least 2 of the rolls come up as a 3 or a 4.
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Which one is it
a
b
c
d
Answers
The solution is b. (-3,0).
What is a system of equations?
Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution. A solution is not assured even then.
The given system of equations is:
y=x+3...................(1)
2x+y=-6...............(2)
We will substitute (1) in two to find the solution for the given system of equations.
2x+x+3=-6
3x=-9
x=-3
Now we will substitute x=-3 in (1), and we will get y=-3+3=0
so y=0
Therefore the solution is b. (-3,0).
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In 1978, the number of high school dropouts in a country was 5217 thousand. By 2007, this number had decreased to 3118 thousand. Find and interpret the average rate of change per year in the number of high school dropouts. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to the nearest tenth as needed)A. The average rate of change is about ___ thousand each year. The number of high school dropouts decreased by an average of about ____ thousand each year from 1978 to 2007.B. The average rate of change is about ____ thousand each year. The number of high school dropouts increased by an average of about ____ thousand each year from 1978 to 2007.C. The average rate of change is about ____ thousand each year. The number of high school dropouts decreased by an average of about ____ thousand in the year 2007. D. The average rate of change is about ____ thousand each year. The number of high school dropouts increased by an average of about ____ thousand in the year 2007.
Answers
ANSWER:
A. The average rate of change is about -72.4 thousand each year. The number of high school dropouts decreased by an average of about 72.4 thousand each year from 1978 to 2007.
STEP-BY-STEP EXPLANATION:
We can calculate the average rate of change per year in the number of high school dropout, using the following formula:
\(r=\frac{y_2-y_1}{x_2-x_1}\)We substitute the corresponding values and we calculate the average rate of change just like this:
\(\begin{gathered} r=\frac{3118-5217}{2007-1978} \\ \\ r=-72.4 \end{gathered}\)Therefore, the correct answer is the following:
A. The average rate of change is about -72.4 thousand each year. The number of high school dropouts decreased by an average of about 72.4 thousand each year from 1978 to 2007.
A service station checks Mr. Smith's radiator and finds it contains only 40% antifreeze. If the radiator holds 20 quarts and is full, how many quarts must be replaced with pure antifreeze in order to bring it up to a required 80% antifreeze?
Answers
Answer:
8 quarts
Step-by-step explanation:
Step One: Figure out how much 40% is by making an equation:
Since we are looking for a percentage, we use cross multiplication to find X.
\(\frac{x}{20} = \frac{40}{100}\)
Step Two: multiply 20 by 40 to start cross multiplying:
20 times 40 is 800, so replace the 40 by 800 in the equation.
\(\frac{x}{20} = \frac{800}{100}\)
Step Three: divide 800 by 100, and we will have X:
800/100=8
X=8 aka 8 quarts
I hope this helps!
pls give thx and brainliest :D
e) 1 cubic centimetres = 1÷1000000 cubic meter. Rewrite in scientific notation
Answers
\( {\qquad\qquad\huge\underline{{\sf Answer}}} \)
Here we go ~
\(\qquad \sf \dashrightarrow \: 1 \: \: cm {}^{3} = \cfrac{1}{1000000} \: \: m {}^{3} \)
\(\qquad \sf \dashrightarrow \: 1 \: \: cm {}^{3} = \cfrac{1}{10 {}^{6} } \: \: m {}^{3} \)
\(\qquad \sf \dashrightarrow \: 1 \: \: cm {}^{3} = {}{10 {}^{ - 6} } \: \: m {}^{3} \)
Which is equivalent to (2 × 5)^4
Answers
Answer:
32/40
Step-by-step explanation:
4x8 and 4x10
What are three consecutive multiples of 3 if 2/3
of the sum of the first
two numbers is 1 greater than the third number?
Answers
The three consecutive multiples of 3 are 15, 18 and 21
To solve this problem
First, let's determine three successive multiples of 3:
The subsequent two would be "x+3" and "x+6" if we call the initial number "x".
Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:
2/3(x + x+3) = (x+6) + 1
Simplifying this equation, we get:
2/3(2x+3) = x+7
Multiplying both sides by 3, we get:
2(2x+3) = 3(x+7)
Expanding and simplifying, we get:
4x + 6 = 3x + 21
Subtracting 3x and 6 from both sides, we get:
x = 15
Therefore, the three consecutive multiples of 3 are 15, 18 and 21
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Question 6 of 10
Which situation shows a constant rate of change?
A. The number of tickets sold compared with the number of minutes
before a football game
B. The height of a bird over time
C. The cost of a bunch of grapes compared with its weight
D. The outside temperature compared with the time of day
SUBMI
Answers
a) the cost of a bunch of grapes compared with its weight
GRAAAAAAAAAAAAAAAAAAAAAAAAAAAAPES!!!!!
A local petting zoo allows visitors to feed the goats food pellets. The petting zoo starts the month with 525.25 pounds of food pellets. Each week, the workers track the amount of food pellets given out and any food pellet deliveries.
Week Change in Food Pellets (lb)
1 −16412
2 −189.75
3 35578
4 −200316
How many pounds of food pellets will the petting zoo have left at the end of the month? Write your answer as a mixed number in simplest form.
__ pound(s)
Answers
Answer:
it would be -189.75
Step-by-step explanation:
At the end of the month, the petting zoo will still have 301.4375 lb of food pellets available.
What is meant by mixed number?When a whole number and a legal fraction are combined, the result is a mixed number. Mixed numbers can be expressed any way, for instance, 5 and 34 or 534. The fractional component of the mixed number needs to be a valid fraction (less than one whole). A suitable fraction, such as 37 or 1115, has a numerator (top number) that is smaller than the denominator (bottom number). A mixed fraction is one whose quotient and remainder are the same. In the mixed fraction 2/3, for instance, 2 is the quotient and 1 is the remainder. Thus, a mixed fraction is created by adding a proper fraction to a whole number.Therefore,
At the end of the month, the petting zoo will still have 301.4375 lb of food pellets available.
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how long must $1000 be invested at an annual interest rate of 3% to earn $300 in sinple interest?
Answers
What is the perimeter of parallelogram WXYZ?
O 2√26+2 units
O 2√26+4 units
O 2√26+6 units
O 2√26+8 units
Answers
The perimeter of the parallelogram will be D. 2✓26 i+ 8.
How to calculate the perimeter?It should be noted that the perimeter of the parallelogram will be calculated by using the formula for distance between point.
For WX, the coordinate are (-2, 4)(2, 4)
d = ✓2 - (-2)² + (4 - 4)²
= ✓16 - 0.
= ✓16
= 4
For XY, this will be illustrated as:
d = ✓(1 - (2)² + (-1 - (4)²
= ✓1² + 5²
= ✓1 + 25.
= ✓26
Since the other sides are parallel, the perimeter of the parallelogram will be:
= 2(4) + 2✓26
= 2✓26 + 8
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Sixteen years after purchasing shares in a mutual fund for $6200, the shares are sold for $11,000. The the total return is %.
Answers
9514 1404 393
Answer:
77.42%
Step-by-step explanation:
The increase in value is ...
(11000/6200 -1) × 100% ≈ 77.42%
If the circle below has a radius of 15cm find each arc length
Answers
I hope this helps you :)
These values have an average of 8. What is the average distance of those values from that average of 8? 0 4 8 10 18
what is the average distance
Answers
The average distance of the values 0, 4, 8, 10, and 18 from their mean of 8 is 4.8.
The average distance of the values 0, 4, 8, 10, and 18 from their mean of 8 is 6.4.
Here's how to calculate it:Step-by-step explanation:
The mean or average of a set of numbers is obtained by adding all the numbers and then dividing by the number of numbers.
Thus, the mean of 0, 4, 8, 10, and 18 is:(0+4+8+10+18)/5 = 8
So, the mean of these values is 8.
The average distance of the values from their mean is also called the mean deviation or average deviation.
To calculate the mean deviation, we first need to calculate the deviation of each value from the mean.
Deviation is the difference between a value and the mean.
The deviations for these values are:-8, -4, 0, 2, 10
Now, we calculate the average of these deviations by adding them up and dividing by the number of values.
The sum of deviations is:-8 + (-4) + 0 + 2 + 10 = 0
The number of values is 5.So, the mean deviation or average deviation is:0/5 = 0
Therefore, the average distance of the values from their mean of 8 is 0.
But, if we want to find the average distance in absolute terms, we need to take the absolute values of the deviations. The absolute values of the deviations are:8, 4, 0, 2, 10
Now, we calculate the average of these absolute deviations by adding them up and dividing by the number of values. The sum of absolute deviations is:8 + 4 + 0 + 2 + 10 = 24
The number of values is 5.So, the mean deviation or average deviation is:
24/5 = 4.8
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Find an equation of the line
Through (-3,-7); parallel to 2x + 3y = 5
Answers
Answer:
2x +3y = -27
Step-by-step explanation:
You want an equation for a line parallel to 2x +3y = 5 and through the point (-3, -7).
Parallel lineA parallel line will have the same slope as the given line, but will have different intercepts. In the standard-form equation given, that means the coefficients of the variables will be the same, but the constant will be different.
To make the constant appropriate for the given point, we use the (x, y) values of the given point to find it:
2x +3y = c
2(-3) +3(-7) = c = -6 -21 = -27
The desired equation is ...
2x +3y = -27
Write three to five sentences explaining which levels of production provide Alonzo’s Cycling with the maximum profit
Answers
The data provided in the table implies that Alonzo's Cycling should produce five or six bikes if it wants to maximize its profits.
What is profit maximization?Profit maximization is a process that businesses go through to make sure the best levels of output and prices are realized in order to maximize their returns. The company modifies important variables like sale price, production costs, and output levels in order to achieve its profit objectives.
This is because the sixth bike is the point at which the marginal revenue matches the marginal cost. The company will make $90 in profit with the sale of its fifth or sixth bike each day. After that, the profit begins to fall with each sale.
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Write an expression to represent the
total area as the sum of the areas of
each room.
11(7 + 4) =
? · 7+11.
?
Answers
11 x 7 + 11 x 4 is the expression of the total area as the sum of the areas of
each room.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
11 (7 + 4)
Using the property of multiplication over addition.
11 x 7 + 11 x 4
Thus,
11 x 7 + 11 x 4.
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Use the Laws of logarithms to rewrite the expression
Answers
The expression log₃(x²∛y²) using the laws of logarithms is 2log₃(x) + 2/3log₃(y)
Rewriting the expression using the laws of logarithmsFrom the question, we have the following parameters that can be used in our computation:
log₃(x²∛y²)
The product law of logarithms states that
log(ab) = log(a) + log(b)
Using the above as a guide, we have the following:
log₃(x²∛y²) = log₃(x²) + log₃(∛y²)
The power law of logarithms states that
log(aᵇ) = blog(a)
Using the above as a guide, we have the following:
log₃(x²∛y²) = 2log₃(x) + 2/3log₃(y)
This means that the values of A and B are A = 2 and B = 2/3
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what are two numbers have a product of 20 and a sum of 9
Answers
Answer:
Step-by-step explanation:
A(6, -5) and B(-1, 2) in the ratio of 2:5
Answers
Answer:
p(x,y)= (4,-3)
Step-by-step explanation:
all explainations are in the picture below.
x times 1/4 = 3/20. What is x
Answers
Answer:
x = 3/5
Step-by-step explanation:
1/4 x = 3/20
Multiply each side by 4
4 * 1/4x = 4 * 3/20
x = 3/5
Answer:
The answer is 3/5 because 1/4*3/5=3/20
Solve the system of linear equations by substitution.
y = 8x – 6
2x – 4y = 24
Answers
Point Form:
(
0
,
−
6
)
(
0
,
-
6
)
Equation Form:
x
=
0
,
y
=
−
6
Santa Claus has 20 toys in his bag. In how many ways can he give one toy each to three children?
Answers
20 / 3 = 6.6
Rounded could be either 6 or 7 ways