The numbers, square root of 26 and twenty eight sixths can be compared using the known values of the square root of a number near to 26, such as 25, and inequality symbols, which indicates;
Twenty eight sixths is less than the square root of 26What is an inequality in mathematics?An inequality is a comparison between values that have different measures or magnitude, such that one values may be less than, <, greater than, >, or not equal to, ≠, the other value in the comparison.
The square root of 26 is √(26)
Twenty eight sixths is [tex]\dfrac{28}{6}[/tex]
26 is a larger number than 25, therefore;
√(26) > √(25) = 5
The square root of 26, is larger than 5; √(26) > 5
Expressing the fraction of twenty eight sixths as a proper fraction, indicates
[tex]\dfrac{28}{6} = 4\frac{4}{6} =4\frac{2}{3}[/tex]
Twenty eight sixths is four and two thirds, therefore;
Four and two thirds is less than 5, therefore;
[tex]4\frac{2}{3} < 5[/tex]
Substituting twenty eight sixths with four and two thirds, indicates;
[tex]\dfrac{28}{6} = 4\frac{2}{3} < \sqrt{26} > 5[/tex]
[tex]\dfrac{28}{6} = 4\frac{2}{3} < 5 < \sqrt{26}[/tex]
[tex]\dfrac{28}{6} < \sqrt{26}[/tex]
The correct option is therefore;
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a customer lunch cost $9.82 after tax if the customer wants to leave an 18% tip what will the total cost be
Answer:
$11.5876 (please give brainiest)
Step-by-step explanation:
9.82x1.18=11.5876
Which fraction is equivalent to the given fraction model?
10/4
4/5
4/10
2/10
4/10 is the fraction that is equivalent to the given fraction model
What is an equivalent fraction ?
According to equivalent fractions, two or more fractions are considered to be equal if, following simplification, both provide the same fraction. Let's imagine that a/b and c/d are two fractions. If these fractions are simplified to produce comparable fractions, such as e/f, they are then equal to one another.
For instance, if we simplify 5/15, the resulting fraction is the same as 1/3, hence that is the equivalent fraction of 1/3.
The fractions with distinct numerators and denominators but the same value are said to be equivalent fractions. For instance, since 2/4 and 3/6 both equal the 12, they are identical fractions. An element of a whole is a fraction. The same amount of the whole is represented by equivalent fractions.
As in the given model 2 out of 5 blocks are in red color which means the equivalent fraction to the given model is 2/5 which is equal to 4/10
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12. Which answer best describes the number of solutions for the following system of equations?
4x+y = 5
8x+2y = -6
A. 1 solution
B. 2 solutions
C. no solutions
D. infinitely many solutions
Answer: C. no solution
Step-by-step explanation:
4x+y=5 (1)
8x+2y=-6 (2)
Multiply both parts of the equation (1) by 2:
8x+2y=10
8x+2y=-6
The left-hand sides of the system of equations are equal to each other,
and the right-hand sides of the system of equations are not equal
to each other, hence, the system of equations has no solution
2. A skydiver jumps from a plane from an altitude of 8000 ft. An observer on the ground measures the skydiver’s altitude at time t = 0 to be 7500 ft. The linear graph shows the skydiver’s altitude at various times during her descent.
(a) Identify the y-intercept. How does the y-intercept relate to the skydiver’s position relative to the ground? Explain.
(b) Determine the slope of the line. According to the slope, is the skydiver ascending or descending and what is the rate of ascent or descent? Explain.
(c) Identify the x-intercept. What does the x-intercept mean in this context? Explain.
(d) Write an equation for the line.
Answer:
Margo can purchase tile at a store for $0.79 per tile and rent a tile saw for $15. At another store she can borrow the tile saw for free if she buys tiles there for $1.29 per tile. How many tiles must she buy for the cost to be the same at both stores?
The number of tiles must she purchase for the expense to be something similar at the two stores will be 30.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Margo can buy tile at a store for $0.79 per tile and lease a tile saw for $15. At one more store, she can acquire the tile saw free of charge assuming she purchases tiles there for $1.29 per tile.
Let 'y' be the total cost and 'x' be the number of tiles. Then the equation is given as,
y = 0.79x + 15 ...1
y = 1.29x ...2
From equations 1 and 2, then we have
1.29x = 0.79x + 15
0.5x = 15
x = 30
The number of tiles must she purchase for the expense to be something similar at the two stores will be 30.
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Kenneth is creating a chart to compare and contrast the different transformations of objects. He wants to show similarities and differences between translations, rotations, and reflections. In his chart, four statements are given. Which statements are true for a translation? Group of answer choices The distances between points on the polygon are preserved by the transformation. The orientation of points on the polygon is preserved by the transformation. The distance between corresponding points in the image and pre-image is constant. The angle measures between sides on the polygon are preserved by the transformation.
The statements that are true for a translation are:
The distances between points on the polygon are preserved by the transformation.
The distance between corresponding points in the image and pre-image is constant.
These statements are true for a translation because when an object is translated, it is shifted a certain distance in a certain direction. This means that the distances between points on the polygon remain the same and the distance between the corresponding points in the image and pre-image is constant.
Translation is the process of converting written, spoken, or visual information from one language into another. It is a complex process involving both linguistic knowledge and cultural understanding. Professional translators use a range of techniques to accurately convey the meaning of a text, including knowledge of grammar, syntax, and idiomatic expressions. Translators also take into account the cultural context of the text, ensuring that the translation reflects the same cultural references and nuances as the original. Translation can also refer to the conversion of DNA sequences from one form to another, such as from RNA to protein.
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Use an open number line to find each difference:
93-36
Answer:
57
Step-by-step explanation: mental math.
5. I bought (3) boxes of cereal that were on clearance for 20% off. My total bill was $6. What was. the original price of one box of the cereal?
Answer:
2 dollars 50 cents
Step-by-step explanation:
3 boxes = 6 dollars
1 box = 2 dollars
100 - 20 = 80
2 dollars = 80 percent
50 cents = 20 percent
2 dollars 50 cents = 100 percent
Find the missing values in the ratio table.
Answer:
Step-by-step explanation:
The second Yards box is:
3.33 repeating
The third Feet box is:
15
The fourth Feet box is:
21
find the zeros f(x) = x 3 - 3x 2 – 5x +15
Answer:
x = ± [tex]\sqrt{5}[/tex] x = 3
Step-by-step explanation:
to find the zeros set f(x) = 0 , that is
x³ - 3x² - 5x + 15 = 0 ( factor the first/second and third/fourth terms )
x²(x - 3) - 5(x - 3) = 0 ← factor out (x - 3) from each term
(x - 3)(x² - 5) = 0
equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x² - 5 = 0 ( add 5 to both sides )
x² = 5 ( take square root of both sides )
x = ± [tex]\sqrt{5}[/tex]
the zeros of f(x) are then
x = - [tex]\sqrt{5}[/tex] , x = [tex]\sqrt{5}[/tex] , x = 3
Evaluate triple integral_W dx dy dz/(x^2 + y^2 + z^2)^3/2, where W is the solid bounded by the two spheres x^2 + y^2 + z^2 = a^2 and x^2 + y^2 + z^2 = b^2, where 0 < b < a.
The Triple Intergral of the given expression is [tex]4 \pi \times ln (\frac{a}{b})[/tex]
[tex]\int\limits \int\limits \int\limits_w \frac{dx dy dz}{(x^2 + y^2 + z^2)^{\frac{3}{2}}}[/tex]
[tex]\text{Where } x^2 + y^2 + z^2 = a^2 \text{ and } x^2 + y^2 + z^2 = b^2, 0 < b < a[/tex]
Changing to Spherical Coordinates
[tex]b \leq \rho \leq a, 0 \leq \theta \leq 2 \pi, 0 \leq \phi \leq \pi[/tex]
[tex]\therefore x^2 + y^2 + z^2 = \rho^2; dx dy dz = \rho^2 sin \phi .d\phi .d\theta. d\rho[/tex]
[tex]\implies \int\limits^a_b \int\limits^{2\pi}_{0} \int\limits^{\pi}_{0} \frac{1}{\rho^3} \rho^2 sin \phi .d\phi .d\theta. d\rho[/tex]
[tex]=\int\limits^a_b {\frac{1}{\rho}} \, d\rho \int\limits^0_{2\pi} d\theta \int\limits^{\pi}_0 \sin{\phi} \, d\phi[/tex]
[tex]= [ln \rho]^{a}_{b} [\theta]^{2\pi}_{0} [-\cos \phi]^{\pi}_{0}[/tex]
[tex]= [\ln a - \ln b] \times [2\pi] \times [- \cos \pi - (-\cos 0)][/tex]
[tex]= 2\pi \times 2 \times (\ln a - \ln b)[/tex]
[tex]= 4 \pi \, \ln{\frac{a}{b}}[/tex]
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URGENT!! ILL GIVE BRAINLIEST!!!! AND 100 POINTS!!!
Question 9
The approximate volume of Spaceship Earth is given as follows:
D. 2,350.878.75 cubic feet.
How to calculate the volume?We are given the circumference of Spaceship Earth, hence we can use it to obtain it's radius.
The circumference of a circle of radius r is given by the equation presented as follows:
C = 2πr.
At it's center, the Spaceship Earth is a circle, hence it's radius is calculated as follows, from it's circumference:
2πr = 518.1
r = 518.1/2π
r = 82.86 feet.
Now we consider that the entire Spaceship Earth has an spherical format, hence it's volume is given as follows:
V = (4/3)πr³.
Hence the volume in cubic inches is calculated as follows:
V = (4/3)π(82.86)³
V = 2,382,996.45 cubic feet.
Which is closest to option D.
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I honestly don’t know what this means or how to do it can some one tell me?
Answer:
No solution.
Step-by-step explanation:
The question is asking how many solutions this has. For example:
1+2=x
x would be 3 and can only be 3, so this would have only one solution
Another example:
x>1
This is stating that x is greater than 1, which can be 2,3,4,5,etc. It goes infinitely long, which means It has infinite solutions.
One example of an equation having no solutions is:
x>3
x<1
This is stating that x is greater than 3, and that it's less than 1, which is impossible, aka no solution.
Process in image.
The satellite Space Explorer flies 82800 miles in 18 hours. Find the rate of change.
In linear equation, 4,600 mph is the rate of change.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
The satellite Space Explorer flies 82800 miles.
time = 18 hours
= 82800/18
= 4,600 mph.
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16 x y can be 16y right????
Answer:
yes
Step-by-step explanation:
im assuming the "x" is multiplication so 16 x y is 16y
1. 2x + y =
2. 3x + 2y =
3. 3y + 2x =
4. 10x + 4y + 2x =
5. 6y + 5x =
6. 7x + 4y =
The Question is based on the concept of Linear Equations and its answer will vary as the values of x and y varies
What is Linear Equations?
A linear equation is an algebraic equation in which the unknown variable is represented by a linear combination of terms and constants. It is a mathematical expression that can be written in the form ax + b = c, where a, b, and c are constants, and x is an unknown variable. Linear equations can be used to describe and solve a variety of real-world problems, such as finding the cost of a product or the distance between two points. Linear equations are also used in the fields of calculus, geometry, and physics.
Here we will just take value of x = 1 and y = 2 to show how this works
putting these values in all 6 Linear Equations we will get that
2x+y = 2(1)+2= 2+2 = 4
similarly in other 5 Question.
3x+2y = 7
3y + 2x = 8
10x + 4y + 2x = 10 + 8 + 2 = 20
6y + 5x = 12 + 5 = 17
7x + 4y = 7 + 8 = 15
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Write each of the following expressions in the form Axmyn, where A is a real number and m and n are integers. 2x^2∙3yx^2
The simplified exponential expression for this problem is given as follows:
6x^4y.
How to simplify the expression?The exponential expression in this problem is defined as follows:
2x² multiplied by 3yx².
The first step to simplify the expression is multiply the numeric coefficients, as follows:
2 x 3 = 6.
Then:
2x² multiplied by 3yx² = 6x²yx².
When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents, hence:
x²x² = x^(2 + 2) = x^4.
Thus the simplified exponential expression is presented as follows:
6x^4y.
As the variable y is elevated to exponent y and not multiplied, while there were two exponential terms with the variable x, which is why it was multiplied.
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not sure why its saying 109 is wrong as its the max
The Class limit of the data is shown below.
What is Frequency?Frequency tables or charts are used to represent frequency distributions. Frequency distributions can display the proportion of observations or the actual number of observations that fall inside each range. The distribution is known as a relative frequency distribution in the latter case.
Given:
From the data the class limit will be
45 - 54
55 - 64
65 - 74
75 - 84
85 - 94
95 - 104
105 - 114
class Boundary
44.5 - 54.5
54.5 - 64.5
64.5 - 74.5
74.5 - 84.5
84.5 - 94.5
94.5 - 104.5
104.5 - 114.5
Midpoint
49.5
59.5
69.5
79.5
89.5
99.5
109.5
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a study found that 15% of teenagers get the recommended 8 to 10 hours of sleep each school night. a guidance counselor at a large high school takes a random sample of 80 students and asks them if they get 8 to 10 hours of sleep each night of the school week. of the 80 students, 15 state they get 8 to 10 hours of sleep each school night. The P-value for the test of the hypotheses, H.;p=0.15 and H.:p#0.15, is 0.35. What is the correct interpretation of this value? 1115% of teenagers get 8 to 10 hours of sleep each school night, there is a 35% probability that the sample proportion would be 0.19 or more different by chance alone, Assuming 15% of teenagers get the recommended 8 to 10 hours of sleep each school night, there is a 35% chance that the sample proportion would be 0.19 by chance alone, If 15% of teenagers get the recommended 8 to 10 hours of sleep each school night, then 35% of the teenagers in this sample got the recommended amount of sleep by chance alone, Assuming 15% of teenagers get the recommended 8 to 10 hours of sleep each school night, there is a 35% chance that the true proportion of teenagers getting the recommended sleep is 0.15 by chance alone,
Previous question
The correct interpretation of the p-value of the hypothesis is given as follows:
If 15% of teenagers get 8 to 10 hours of sleep each school night, there is a 35% probability that the sample proportion would be 0.19 or more different by chance alone.
What are the hypothesis tested?At the null hypothesis, it is tested if the proportion is of 15%, that is:
H0: p = 0.15.
At the alternative hypothesis, it is tested if the proportion is different of 15%, that is:
H1: p ≠ 0.15.
We have a two-tailed test, as we are testing if the proportion is different of a value, meaning that the p-value gives the probability of the sample proportion differing by 0.15 at least by the proportion that it differed.
The p-value of this test is given as follows:
0.35.
Hence the first option is correct.
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how much more would it cost a family of 5 to get the jets game ($105.66) than a Lions game ($79.19?
Answer:
The answer is 26.47.
Step-by-step explanation:
To get this answer, you simply need to subtract $105.66, by $79.19. You would get the answer of 26.47.
Step 1. [tex]$105.66 x 5 = 528.3[/tex]
Step 2. [tex]$79.19 x 5 = 395.95[/tex]
Step 3. [tex]528.3 - 395.95 = 132.35[/tex]
Thus, with all these steps it would cost $132.35 more to go to the jets game than to go to the lions game.
Rewrite sin(x - 5π/4) in terms of sin(x) and cos(x)
SOMEONE PLEASE HELP ME ANSWER THIS QUESTION ASAP
Answer:
593
Step-by-step explanation:
sana makatulong hindi ko sure
What’s the answer to this question
Answer: 1+1=7
Step-by-step explanation: wheres the question
In a mixture of concrete, the ratio of sand to cement is 1:4. How many bags of cement are needed to mix with 100 bags of sand?
bags of cement
The ratio of sand to cement is 1:4, which means that for every 4 units of cement, there are 1 unit of sand. If we let x represent the number of bags of cement, then the number of bags of sand is 4x.
We are given that there are 100 bags of sand, so we can set up the equation:
4x = 100
x = 100 / 4
x = 25
Therefore, 25 bags of cement are needed to mix with 100 bags of sand.
Hope this helps
Write a rule for the translation of ABC to A’B’C’
Answer:
Below
Step-by-step explanation:
x,y => ( +4 , -3) because it is shifted 4 units to the right and down 3 units
Evaluate the Riemann Sum for [tex]f(x)=sin^2x[/tex] if [tex]0\leq x\leq \frac{3\pi }{4}[/tex] with three equal subintervals, using right-hand endpoints as the sample points. Please help, need it for an exam
The value of f(x) =sin²x if 0≤x≤[tex]\frac{3\pi }{4}[/tex] using the Riemann sum is 0
How to use the Riemann sum to evaluate a function?By definition, the Riemann sum is a certain kind of approximation of an integral by a finite sum.
The given function is:
f(x) =sin²x if 0≤x≤3x/4
From the function, there are three sub intervals. The intervals include
n=3
a=0
b=[tex]\frac{3\pi }{4}[/tex]
The Riemann sum state that [tex]\frac{(b-a)}{n} =\frac{\pi }{4}[/tex]
C₁=[tex]\pi[/tex]/4
c₂=[tex]\pi[/tex]/2
C₃=[tex]\frac{3\pi }{4}[/tex]
The Riemann sum=[( [tex]3\pi[/tex]/4)-0]/3 = [tex]\pi[/tex]/4
When evaluated gives 12π=12π
Evaluate the function to get f(x)=0
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A data set lists the grade point averages of 10th grade students. Which of the following charts could be used to display the data, and why?
Circle graph; because the data is categorical
Circle graph; because the data is numerical
Box plot; because the data is categorical
Box plot; because the data is numerical
The chart that could be used to display the data is given as follows:
Box plot; because the data is numerical.
What are numerical and categorical data?A data-set can be classified as either numerical or categorical, depending on the values assumed by the data, as follows:
If the values assumed by the data are numbers, then the data-set is numeric.If the values assumed by the data are labels, then the data-set is categorical.The correct charts for each type of data are given as follows:
Numeric: box plot.Categorical: circle graph.The grade point average assumes numeric values, hence it is a numeric data and should be shown on a box plot, meaning that the last option is correct.
The box plot will show the number of grades in each range of the grade point averages, for example, how many grades between 0 and 1, how many between 1 and 2, and so on.
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Using the time series data in the table, respond to the following items.Period Sales1 $ 1,001 2 1,129 3 841 4 1,044 5 1,012 6 703 7 682 8 712 9 646 10 686 11 909 12 469 13 566 14 488 15 688 16 675 17 303 18 381 Click here for the Excel Data Filed-1. Compute all possible forecasts using a trend forecasting model using simple linear regression? (Round your answers to 2 decimal places.)d-2. What is the MAD? (Round your answer to 2 decimal places.)d-3. What is the trend equation based on the regression analysis? (Round your answers to 2 decimal places.)e. What is the predicted annual change of industry sales? (Round your answer to 2 decimal places.)f. Predict sales for the next three periods. (Round your answers to 2 decimal places.)
Forecast Absolute is (d-1)
What is Forecast Absolute?
Absolute value refers to the fact that even a negative gap between the actual and anticipated demand turns positive. 25 divided by 4 equals 6.25, so. Since the demand error is not proportional, the MAD computation performs best when applied to a single product.
1026.62 25.62
990.38 138.62
954.15 113.15
917.91 126.09
881.67 130.33
845.44 142.44
809.20 127.20
772.97 60.97
736.73 90.73
700.49 14.49
664.26 244.74
628.02 159.02
591.78 25.78
555.55 67.55
519.31 168.69
483.07 191.93
446.84 143.84
410.60 29.60
(d-2) 111.15
(d-3) y = 1062.86 + (-36.24)*x
(e) decrease by 36.24
(f)
374.37
338.13
301.89
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Ian is going to invest in an account paying an interest rate of 5% compounded continuously. How much would Ian need to invest, to the nearest hundred dollars, for the value of the account to reach $108,000 in 6 years?
The amount of money that Ian would need to invest to be able to make up to $108,000 in 6 years with an interest rate of 5% compounded continuously would be = $80,000
What is interest rate?Interest rate is the rate at which an individual receives a particular amount of money due to an investment made over a period of time.
The current value of account(A) = $108,000
The number of years for investment (t)= 6 years.
The interest rate(r)= 5% = 0.05 (in decimal).
Using the formula, A = Pe^rt
108,000 = P e ^ 0.05× 6
108,000 = Pe^0.3
108,000 = P × 1.3499
P = 108,000/1.3499
P = $80,000 ( approximated to the nearest whole number)
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a) Work out the minimum number of hikers who could have walked between 6 miles and 17 miles.
b) Work out the maximum number of hikers who could have walked between 6 miles and 17 miles.
a) minimum of nine hikers might have covered the distance between 6 and 17 miles because it falls within the standard interval of 10 ≤ x ≤ 15.
b) The maximum no. of hikers who might have covered the distance between 6 and 17 miles is 19.
What do minimum and maximum value mean?
Rearrange the function using fundamental algebraic concepts to get the value of x when the derivative equals 0. This response gives the x-coordinate of the function's vertex, which is where the maximum or minimum will occur. To find the minimum or maximum, rewrite the solution into the original function.
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The rectangular floor of a classroom is 30 feet in length and 36 feet in width. A scale drawing of the floor has a length of 5 inches. What is the area, in square inches, of the floor in the scale drawing?
The scale drawing's representation of the rectangle floor's circumference is 68 inches.
What is unitary method ?Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.
Create a square on paper by using a pencil. Two dimensions make it up. A shape's area on paper is the space it takes up.
Imagine that your square is made up of smaller unit squares.
The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.
To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.
According to our question-
P = 2L + 2W
W = 5
P = 2L + 2(5) = 16
2L + 10 = 16
2L = 6
L = 3 ft
Hence, The scale drawing's representation of the rectangle floor's circumference is 68 inches.
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