Answer:
4 3/8
Step-by-step explanation:
1. We can use the formula
Area = L (length) x W (width)
2. The area is unknown so we can substitute it for a
The length and width are both known, so we can plug them in.
a= 2 1/2 x 1 3/4
3. Solve by multiplying
a=4 3/8
Area of the rectangle is [tex]4\frac{3}{8}[/tex] meter square
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface
What is rectangle?Rectangle is a quadrilateral with four right angles
Area of the rectangle = Length × Width
Length of the rectangle = [tex]2\frac{1}{2} =\frac{5}{2}[/tex]
Width of the rectangle = [tex]1\frac{3}{4}=\frac{7}{4}[/tex]
Area of the rectangle = [tex](\frac{5}{2}).(\frac{7}{4})=\frac{35}{8}=4\frac{3}{8}[/tex] meter square
Hence, the area of the rectangle is [tex]4\frac{3}{8}[/tex] meter square
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Find the missing fraction
_+ 1/16=3/2
Answer:
23/16?
Step-by-step explanation:
23/16 + 1/16 = 3/2
The table of ordered pairs shows the coordinates of the two points on the graph of a line. Which equation describes the line?
ก. y=x+7
c. y=-5 x+2
b. y=x-7
d. y=5 x+2
Please seiect the best answer from the choices provided
P.
8
C.
The equation of the line is y = x + 7
What is the equation of a line?The equation of a line is an equation that describes the line. It is given by y = mx + c where
m = gradient and c = y - interceptHow to find the equation that describes the line?Since the equation of a line is given by y = mx + c and we have the points from the table (-5, 2) and (0, 7)
Substituting these evalues into the equation, we have
y = mx + c
2 = m(-5) + c
2 = -5m + c (1)
Also, the point (0,7),we have
y = mx + c
7 = m(0) + c
7 = 0 + c
c = 7
Substituting c = 7 into equation (1), we have that
2 = -5m + c
2 = -5m + 7
2 - 7 = -5m
-5 = -5m
m = -5/-5
m = 1
Substituting m = 1 and c = 7 into the equation for the line, we have
y = mx + c
y = (1)x + 7
y = x + 7
So, the equation is y = x + 7
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Are there any circles for which the relationship between the diameter and the circumference cannot be represented by π? explain
Well, the diameter and circumference scale perfectly. Therefore, the ratio will remain the same regardless of how big or tiny the circle is. For all circles, circumference is equal to x diameter. There are no exceptions because this is the definition of.
Give an example of diameter.
If you look at the cycle wheel, the spikes that run through the center from one end to the other are an illustration of diameter. This is comparable to a circle's diameter, which is a line segment that extends from one end of the circle to the other end while passing through the center.
What is a circle's circumference?
A circle's diameter is multiplied by to determine its circumference (pi). You can also determine the circumference by multiplying 2radius by pi (=3.14).
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the graph of a line is shown on the grid. the coordinates of both point indicated on the graph of the line are integer
Answer:
-5/6
Step-by-step explanation:
By the application of Analytical geometry the rate of change of y with respect to x is -5/6.
what is Analytical geometry?
Analytical geometry is a branch of mathematics that studies geometric shapes and figures using analytical methods. It is a branch of mathematics that uses algebraic techniques to describe geometric shapes and figures. It involves the use of analytical equations and formulas to study geometric concepts. Analytical geometry is used to study the properties of points, lines, angles, circles, and other geometric shapes. It can also be used to solve problems involving angles, distances, and areas of figures. In addition, analytical geometry can be used to find the intersection of two lines, calculate the area of a circle, and calculate the volume of a cylinder. Analytical geometry is a powerful tool used in many scientific and engineering fields.
The rate of change of y with respect to x for this line is -5/6
Therefore -5/6 is rate of change in this graph.
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Pranav and Paul each improved their yards by planting grass sod and shrubs. They bought their
supplies from the same store. Pranav spent $90 on 10 ft² of grass sod and 5 shrubs. Paul spent
$50 on 5 ft² of grass sod and 3 shrubs. Find the cost of one ft² of grass sod and the cost of one
shrub
The cost of one ft² of grass sod is $3 and the cost of one shrub is $10.
How to solve Algebra Word Problems?Let the cost of grass be g and the cost of shrubs be s.
Pranav spent $90 on 10 ft² of grass sod and 5 shrubs. Thus, the equation that portrays this is;
10g + 5s = 90 -----(1)
Paul spent $50 on 5 ft² of grass sod and 3 shrubs. Thus, the equation that portrays this is;
5g + 3s = 50 ------(2)
Multiply eq 2 by 2 to get;
10g + 6s = 100 -----(3)
Subtract eq 1 from eq 2 to get;
s = 10
Put 10 for s in eq 1 to get;
10g + 5(10) = 90
10g = 40
g = 4
Thus, we conclude that the cost of grass sod and shrubs are the values of s and g above.
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To compare the means of three samples -- perhaps three experimental treatments -- we should use this test:
A. Pooled variance t-test assuming equal variance.
B. Separate variance t-test assuming unequal variance.
C. Z-test of difference of means.
D. Analysis of variance
The correct answer is D. Analysis of variance (ANOVA). To compare the means of three samples -- perhaps three experimental treatments -- we should use ANOVA Test.
ANOVA is a statistical test that is used to compare the means of two or more samples. It can be used to determine whether there is a significant difference between the means of the samples, and to identify which samples are significantly different from one another.
A pooled variance t-test is a statistical test that is used to compare the means of two samples, assuming that the variances of the two samples are equal. This test is not suitable for comparing the means of three or more samples.
A separate variance t-test is a statistical test that is used to compare the means of two samples, assuming that the variances of the two samples are not equal. This test is also not suitable for comparing the means of three or more samples.
A z-test of difference of means is a statistical test that is used to compare the means of two independent samples. It is not suitable for comparing the means of three or more samples.
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Write an equation of the line below.
Answer: Recommended to simplify to y=1/4x+3
y=2/8x+3
*Note slope may need to be simplified to (1/4 depends)
Step-by-step explanation: Formula y=mx+b
Slope m=2/8 >>>>simplify to 1/4 up 1 over 4 (the x goes beside this)
Look on y-axis count up to the dot y=3
g has two real eigenvalues . find these eigenvalues, their multiplicities, and the dimensions of their corresponding eigenspaces.
The dimension of the eigenspace corresponding to an eigenvalue is the number of linearly independent eigenvectors associated with that eigenvalue
What is Eigen Value?
Eigenvalues are a unique set of scalar values connected to a set of linear equations that are most likely seen in matrix equations. The characteristic roots are another name for the eigenvectors. It is a non-zero vector that, after applying linear transformations, can only be altered by its scalar factor.
It is not possible to determine the eigenvalues, their multiplicities, and the dimensions of the corresponding eigenspaces of the matrix g without more information about the matrix itself.
In order to find the eigenvalues of a matrix, you need to determine the values of the variables in the matrix and then solve the characteristic equation, which is obtained by setting the determinant of the matrix equal to zero.
The eigenvalues are the roots of the characteristic equation, and the multiplicity of an eigenvalue is the number of times it appears as a root.
The dimension of the eigenspace corresponding to an eigenvalue is the number of linearly independent eigenvectors associated with that eigenvalue.
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The product of a number and 3 less than the number is 18. Find the number
Answer: n = 6 or n = -3
Step-by-step explanation:
n(n-3)=18
n^2 - 3n = 18
n^2 - 3n - 18 = 0
n = 6 or n = -3
Jamal spent 6 dollars on snow cones last week. Each snow cone costs s dollars. Choose the expression that shows how many snow cones Jamal bought.
The expression that represents the number of snow cones is 6/s.
Algebraic Expressions:An algebraic expression is an expression that is made up of variables and constants by operations like addition, subtraction, etc. We use Algebraic Expressions to find unknown values or numbers.
Here we have
Jamal spent 6 dollars on snow cones last week
Each snow cone costs s dollars
Let Jamal bought y snow cones
=> Cost of y cones = ys dollars
Given that Jamal spent 6 dollars
=> ys = 6
=> y = 6/s
Therefore,
The expression that represents the number of snow cones is 6/s.
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Find the multiplicative inverse of −1/2.
Answer:
2
Step-by-step explanation:
To determine the multiplicative inverse of a number, we use the following rule: The multiplicative inverse of a number a/b is b/a.
Determine the end behavior of the polynomial function.
f(x)= -2x^3 +3x^2 +2x -1
The correct option is (a)
As x ⇒ ∞, f(x) ⇒ -∞ and As x ⇒ -∞, f(x) ⇒ ∞.
What is Polynomial function ?
The terms poly and nomial combine to form the word polynomial. We can define polynomials as "algebraic expressions with many terms" because "poly" means many and "nomial" denotes the term.
Given : f(x)= -2x^3 +3x^2 +2x -1
In order to determine the end behavior of the polynomial function, we are required to check the highest degree of the polynomial and the coefficient of the term which has highest degree.
Here, The highest degree of the polynomial is 3 and the coefficient of the term which has highest degree is -2.
Since, the coefficient is negative, the graph will move right down which means as x ⇒ ∞, f(x) ⇒ -∞.
Similarly, the degree is odd which states that the sign will be opposite of what the coefficient has. So, As x ⇒ -∞, f(x) ⇒ ∞.
Hence, As x ⇒ ∞, f(x) ⇒ -∞ and As x ⇒ -∞, f(x) ⇒ ∞.
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What is the y/x ratio?
the ratio of is x: yin reverse
Weston Inc. just agreed to pay £19632 today, £19827 in one year later, £32464 in two years later to a landlord to explore for, but not extract valuable materials. If the landlord invests the money at a rate of 5.81% compounded annually, what is the investment worth two years from today?
Your deposit must be returned by the landlord within 30 days, less any sum subtracted for damages.
What is the most a landlord can raise rent?To maximize their earnings, landlords set the rent on rental properties at market rates. Should they... Your reported income plays a big part in how much rent you will have to pay.
3% of the existing rent or the local Consumer Price Index (CPI), whichever is higher, is the maximum increase in rent that the landlord is permitted to make once every 12 months. The requirements of California Tenant Protection Act (AB1482) are expressly applicable to rent hikes.
A renter may be evicted even without a lease. Considering that there isn't a lease or rental agreement, a landlord or property management is free to evict a renter for any reason. The sole need under law would be that the renter being evicted receive a formal notice before being removed.
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Choose answers that describe the quadrilateral STUV if ST|| UV,TU||VS
and diagonals are congruent: SU≅TV
Parallelogram
Triangle
Rhombus
Square
Trapezoid
By using properties of quadrilateral, it can be concluded that-
Square describes the quadrilateral STUV
What is a quadrilateral?
Quadrilateral is a two dimensional four sided figure.
Here the properties of quadrilateral STUV is
Pair of opposite sides are parallel
Diagonals are congruent.
In a parallelogram, the pair of opposite sides are parallel but diagonals are not congruent
Triangle is not a quadrilateral
In Rhombus, the pair of opposite sides are parallel but the diagonals are not congruent
In square, the pair of opposite sides are parallel and the diagonals are congruent
In Trapezoid, one pair of opposite sides are parallel and one pair of opposite sides are non parallel.
So Square describes the quadrilateral STUV
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the amounts of time employees of a telecommunications company have worked for the company are normally distributed with a mean of 5.4 years and a standard deviation of 2.1 years. random samples of size 12 are drawn from the population and the mean of each sample is determined.
O 5.4 years, 0.48 years O 5.4 years, 0.10 years O 1.18 years, 2.2 years
O 1.18 years, 0.48 years
Using statistics we know that the mean value is 5.6 years, and the standard error is 0.4478.
What are statistics?The gathering, characterization, analysis, and drawing of inferences from quantitative data are all tasks that fall under the purview of statistics, a subfield of applied mathematics.
Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.
So, we have:
μ = 5.6
σ = 1.9
n = 18
Figuring out each sample's mean:
Therefore, the population means itself serves as the best estimator of the sample mean.
μₓ = μ = 5.6
The sample mean is 5.6 years as a result.
Estimating the standard deviation:
By using the formula:
Standard error = σ/√n
Given that the samples are of size n = 18 and the standard deviation is = 1.9:
Standard error = 1.9/√18 = 0.4478
Therefore, using statistics we know that the mean value is 5.6 years, and the standard error is 0.4478.
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Complete question:
The amount of time employees of a telecommunications company have worked for the company is normally distributed with a mean of 5.6 years and a standard deviation of 1.9 years. Random samples of size 18 are drawn from the population and the mean of each sample is determined. Find the mean and the standard error.
URGENT!! ILL GIVE BRAINLIEST!!!! AND 100 POINTS!!!
Answer: b includes only rational numbers
Step-by-step explanation:
A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q. For example, −3/7 is a rational number, as is every integer.
b.
Marie Josee makes famous custom shirts that are sold all over the world from Canada. She wants to make sure her revenue (sales price) for the shirts is equivalent to $45 CAD in every country. What should be the sales price for the shirts in the following countries? (hint: convert to the local currency!)
1. European Union
2. Japan
3. Australia
4. Without considering any other costs (shipping, taxes, tariffs, etc…), which country would it be the best market for Mariee Josee’s shirts? Which one gives her the most revenue? Explain your answer.
The sales price for the shirts in different countries are the following
Country. Price of shirt
European Union , 62.469 EURJapan , 0.477 JPYAustralia, 41.913 AUD4. European Union, is the best market for Mariee Josee’s shirts and this country also gives her most revenue.
We have given that,
Marie Josee makes famous custom shirts and sold it in Canada. The currency of Canada , CAD.
The price of shirt = $45 CAD
Now, we should find out the price of shirt in different countries.
Country Currency
Canada CAD
European Union EUR
Japan JPY
Australia AUD
1. one CAD = 1.3882 EUR
=> price of shirt in European Union = 45× 1.3882
= 62.469 EUR
2. one CAD = 0.0106 JPY
=> price of shirt in Japan = 45× 0.0106 =0.477 JPY
3. one CAD = 0.9314 AUD
=> price of shirt in Australia = 45× 0.9314
= 41.913 AUD
4. The country Currency which gives highest price of shirt in above list is better option for selling it. So, we see that the European Union country would it be the best market for Mariee Josee’s shirts. It gives best selling price for shirt
i.e 62.469 EUR.
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Twice last month, Judy Carter rented a car from a car rental company and traveled around the Southwest on business. The company rents its car for a daily fee, plus an additional
charge per mile driven. Judy recalls that her first trip lasted 4 days, she drove 450 miles, and the rental cost her $222.00. On her second business trip she drove 200 miles in 3 days, and
paid $139.00 for the rental. Find the daily fee, and find the mileage charge.
Daily fee is $, and the mileage charge is $.
Answer:
Daily fee is $13.75, and the mileage charge is $0.37.
6 pounds of coffee costs $14.99what is the cost per ounce
The cost per ounce is $0.156
What is ounce?An ounce is a unit of weight and mass in the Imperial and United States customary systems of measurement. It is commonly used to measure the weight of precious metals such as gold, silver, and platinum. In the US, the ounce is equal to 28.35 grams. The ounce is also used to measure the weight of food items, liquids, and other substances. In the UK, the ounce is equal to 28.4 grams. The ounce is also used to measure the weight of postage stamps, coins, and other small items. The ounce can also be used to measure the volume of a liquid. One fluid ounce is equal to 29.57 milliliters. A dry ounce is equal to 28.35 grams. An ounce is also one-sixteenth of a pound.
Solution:
1 pound is equal to 16 ounce
6 pounds of coffee = 6 x 16 = 96 ounce
So take $14.99 and divided it into 96
the cost of per ounce is equal to 14.99 / 96 = 0.156
The cost of one ounce is $0.156
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A polygon's interior
angles add up to 4320°.
How many sides does the
polygon have?
Answer:
24 sides
Step-by-step explanation:
The interior angles of a polygon add up to 180(n-2) degrees, where n is the number of sides the polygon has. This means that to find the number of sides a polygon has, we can set up the following equation:
180(n-2) = 4320
Solving for n, we get:
n = (4320 + 360) / 180 = 24
Therefore, the polygon has 24 sides.
A room in an attic has a sloping wall that makes an angle of 55° with the floor, which is parallel to the ceiling.
What is the measure of an angle that forms a pair of same-side interior angles with that angle?
Which expression is equal to 7 + 6X5-2?
A) 13X5-2
B) 7+11-2
C) 13 X 3
D) 37-2
Answer:
So, in the expression 7 + 6X5-2, we must first multiply 6 and 5, which gives 30. Then we must add 7 and 30, which gives 37. Finally, we must subtract 2 from 37, which gives a final score of 35.
Therefore, the expression 7 + 6X5-2 is equal to 37-2. The correct answer is D) 37-2.
The data given to the right includes data from 41 candies, and 9 of them are red. The company that makes the candy claims that 31% of its candies are red. Use the sample data to construct a 90% confidence interval estimate of the percentage of red candies. What do you conclude about the claim of 31%?
The population percentage of candies that are red: (0.141,0.447)
What do you conclude about the claim of 29%?Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
The formula for the population proportion's confidence interval is: pz/2[p (1-p)/n]
Given:
- Number of samples: 34
10 red candies total.
The formula for the population proportion's confidence interval is: pz/2[p (1-p)/n]
Given:
- Number of samples: 34
10 red candies total.
Red candy prevalence in sample: p = 10/340.294
Level of significance: =1-0.95=0.05
Critical value: 1.96 for z / 2
The population percentage of red candies will now have the following 95% confidence interval estimate: 0.294 (1.96) [0.294(1-0.294)/34] 0.294 0.153, 0.294+0.153) (0.141.0. 447)
The population percentage of candies that are red: (0.141,0.447)
The complete question is : The data given to the right includes data from 34 candies, and 10 of them are red. The company that makes the candy claims that 29% of its candies are red. Use the sample data to construct a 95% confidence interval estimate of the percentage of red candies. What do you conclude about the claim of 29%? Construct a 95 % confidence interval estimate of the population percentage of candies that are red.
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The population of a certain single-cell organism doubles every hour, starting with 100 cells. Which COULD be an equation to model th
situation, where f(t) is the number of organisms and t is time in hours?
geometric progression with common ratio 2.
so, f(t) = 100 x [tex]2^t[/tex] be an equation to model the situation.
What is geometric progression ?A sort of sequence known as geometric progression (GP) is one in which each following phrase is created by multiplying each preceding term by a fixed number, or "common ratio." This progression is sometimes referred to as a pattern-following geometric sequence of numbers.A geometric progression, also termed a geometric sequence, is a set of integers where each term after the first is obtained by multiplying the one before it by a constant, non-zero quantity known as the common ratio.Given :
starting with 100 cells.
a=100
r = 2
a certain single-cell organism doubles every hour
f(t) is the number of organisms and t is time in hours.
f(t) = 100 x [tex]2^t[/tex]
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6and 3/4 divided by 1 and 1/18
Answer:
Your answer is 6.
Step-by-step explanation:
If this is correct can i get branilest? Hope this helps :)
Is (5, 10) a solution to this system of equations?
20x 12y = -20
5x - 11y = −1
yes
no
NO LINKS!! Find the sum of the infinite geometric series:
-125/36 + 25/6 - 5 + 6 - . . .
Answer:
[tex]S_{\infty}=-\dfrac{625}{396}[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Sum of an infinite geometric series}\\\\$S_{\infty}=\dfrac{a}{1-r}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}[/tex]
Given geometric series:
[tex]-\dfrac{125}{36}+\dfrac{25}{6}-5+6-...[/tex]
To find the common ratio, divide a term by the previous term:
[tex]\implies r=\dfrac{a_4}{a_3}=-\dfrac{6}{5}[/tex]
Substitute the found common ratio and given first term into the sum formula:
[tex]\implies S_{\infty}=\dfrac{-\frac{125}{36}}{1-\left(-\frac{6}{5}\right)}[/tex]
[tex]\implies S_{\infty}=\dfrac{-\frac{125}{36}}{1+\frac{6}{5}}[/tex]
[tex]\implies S_{\infty}=\dfrac{-\frac{125}{36}}{\frac{11}{5}}[/tex]
[tex]\implies S_{\infty}=-\dfrac{125}{36} \times\dfrac{5}{11}[/tex]
[tex]\implies S_{\infty}=-\dfrac{625}{396}[/tex]
32.68-4.15q
a. for q = 0
b. for q = 10
c. for q = -3
a. The value of 32.68-4.15q when q = 0 is 32.68.
b. The value of 32.68-4.15q when q = 10 is -8.82
c. The value of 32.68-4.15q when q = -3 is 45.13.
What is an expression?
Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.
Given expression is 32.68-4.15q
Putting q = 0 in the given expression:
32.68-4.15 × 0
= 32.68
Putting q = 10 in the given expression:
32.68-4.15 × 10
=32.68 - 41.5
=-8.82
Putting q = -3 in the given expression:
32.68 - 4.15 × (-3)
=32.68 +12.45
=45.13
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100 POINTS PLEASE HELP!!!1
use the compound interest formula A=P(1+r/n)^nt to solve. Round to two decimal places
find the accumulated value of an investment of $4,000 at 5% compounded semiannually for 8 years
a.$4,873.61
b.$5,600.00
c.$5,909.82
d.$5,938.02
The accumulated value of an investment of $4,000 at 5% compounded semiannually for 8 years is $5,938.02.
What is Compound Interest?When you add the interest you have already earned back into your principal balance, you are earning compound interest, which increases your profits.
Compound interest, also known as interest on principal and interest, is the practise of adding interest to the principal amount of a loan or deposit.
Given:
Investment amount= $4000
Rate of Interest, R= 5%
Time= 8 years semiannually
So, r = R/100
r = 5/100
r = 0.05 rate per year,
Then solve the equation for A
A = P[tex](1 + r/n)^{nt[/tex]
A = 4,000.00[tex](1 + 0.05/2)^{(2)(8)[/tex]
A = 4,000.00[tex](1 + 0.025)^{(16)[/tex]
A = $5,938.02
Hence, the accumulated value of an investment is $5,938.02.
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