Thus, coach Sanchez can only create a side length of 8 for one side of the court, which is the longest side length.
Explain about the square root:The factor of a number that, when multiplied by itself, equals the original number is known as the square root of the number. Practically speaking, determining a number's square root is the reverse of doing so to find its square.
Properties
A perfect square root corresponds to a perfect square number.The square root of an even perfect number is even.The square root of an odd perfect number is odd.You only need to find that square root of the area to determine the length of a side because we know that a square already has equal sides so the area is determined by two sides.
√64 = 8
Thus, coach Sanchez can only create a side length of 8 for one side of the court, which is the longest side length.
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The lengths of the sides of a triangle are √11, √7, and 4. Classify the triangle as acute, right, or
obtuse.
Answer:
Acute or Acute Scalene triangle to be exact
for most stocks, a scatter plot chart of stock returns versus past stock returns will appear as: multiple choice a shotgun pattern centered close to the origin. a random pattern mostly concentrated in the top-right and lower-left quadrants. a random pattern mostly concentrated in the upper-left and upper-right quadrants. none of the options.
A scatter plot chart of stock returns versus past stock returns will typically appear as a random pattern mostly concentrated in the top-right and lower-left quadrants.
Describe your answer more in detail?This pattern indicates that there is a positive correlation between past and current stock returns, but there are also instances where current returns are negative despite past positive returns.
The top-right quadrant represents instances where both past and current returns are positive, while the lower-left quadrant represents instances where both past and current returns are negative.
The random pattern indicates that stock returns cannot be predicted with certainty based on past returns alone.
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Mariette has read 4/5 of the class novel. Erika read 0. 5 of it. Riley read less than Mariette but more than Erika. What fraction of the book could Riley have read. Explain
Riley could have read any fraction between 1/2 and 4/5 of the book.
We must determine the range of potential fractions of the book that Riley may have read in order to determine what portion Riley may have read.
Riley must have read less than 4/5 of the book because we know she read less than Mariette. Riley read more than Erika, and because we also know that Riley read more, Riley must have read more than 0.5 of the book.
Therefore, the fraction of the book that Riley could have read is between 0.5 and 4/5, or:
0.5 < Riley's fraction < 4/5
To express this range as a single fraction, we can find a common denominator for 0.5 and 4/5:
0.5 = 2/4
4/5 = 4/4 * 1/5 = 5/5 × 4/25 = 20/25
So the range of possible fractions for Riley is:
2/4 < Riley's fraction < 20/25
We can simplify this range by finding the lowest common denominator of 4 and 25, which is 100:
2/4 = 25/50
20/25 = 80/100
So the range of possible fractions for Riley is:
25/50 < Riley's fraction < 80/100
We can simplify this range by dividing both sides by 50:
1/2 < Riley's fraction < 4/5
Therefore, Riley could have read any fraction between 1/2 and 4/5 of the book.
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Triangle UVW has vertices at U(−2, 0), V(−3, 1), W(−3, 3). Determine the vertices of image U′V′W′ if the preimage is rotated 90° counterclockwise.
U′(0, −2), V′(−1, −3), W′(−3, −3)
U′(0, −2), V′(1, −3), W′(3, −3)
U′(2, 0), V′(3, −1), W′(3, −3)
U′(−2, 0), V′(−3, 0), W′(3, −3)
Answer:
The vertices of the image after rotating triangle uvw 90 degrees counterclockwise are u′(0, −2), v′(1, −3), w′(3, −3).
Step-by-step explanation:
A rectangular poster has an area of 22 square feet. It is 5 1/2
feet wide at its base. What is the height of the poster?
Therefore , the solution of the given problem of area comes out to be The poster is 4 feet tall.
What does an area actually mean?Calculating how much space would be needed to entirely enclose the object's exterior will reveal its overall size. The surroundings is considered when selecting a comparable product with a tubular form. The surface area of anything determines its overall dimensions. The number of sides connecting a cuboid's four trapezoidal shapes determines how much water it can contain.
Here,
Let's write the rectangle poster's height as h feet.
The following formula determines the area of a rectangle: Area equals Length x Width
In this instance, we are informed that the poster's area is 22 square feet and its width (or base) is 5 1/2 feet.
=> 22 = h × 5 1/2
=> 22 ÷ 5 1/2 = h
=> 5 1/2 = 11/2
=> 22 ÷ 11/2 = h
When multiplying by a fraction, we must flip the numerator and denominator to get the reciprocal:
=> 22 ÷ 11/2 = h
=> 22 × 2/11 = h
=> 44/11 = h
When we simplify the fraction, we obtain:
=> h = 4
The poster is therefore 4 feet tall.
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A woman at a point A on the shore of a circular lake with radius 4 wants to arrive at the point C diametrically opposite to A on the other side of the lake in the shortest possible time. She can walk at the rate of 10 miles and row a boat at 5 miles
Answer: To minimize the time taken by the woman to reach point C, she should minimize the total distance traveled, which is the sum of the distance she walks and the distance she rows.
Let's call point B the point where the woman switches from walking to rowing. We can find the location of point B by drawing a straight line from A to the center of the lake, and then continuing that line on the other side of the lake to point C. Point B is the point where this line intersects the circle of the lake.
Since the radius of the lake is 4, the distance from A to the center of the lake is also 4. Therefore, the distance from A to B is also 4. The distance from B to C is also 4, since C is diametrically opposite to A.
Let's call the distance that the woman rows from B to C d. Then the distance that she walks from A to B is 4 - d.
The time taken to walk a distance of (4 - d) miles is:
t1 = (4 - d) / 10
The time taken to row a distance of d miles is:
t2 = d / 5
The total time taken is:
T = t1 + t2 = (4 - d) / 10 + d / 5
Simplifying, we get:
T = (8 + d) / 20
To minimize T, we need to find the value of d that minimizes (8 + d) / 20. We can do this by taking the derivative of (8 + d) / 20 with respect to d and setting it to 0:
d(T) / d(d) = 1/20
Setting this to 0, we get:
1/20 = 0
This is obviously not true, so there is no minimum value of T. However, we can see that as d gets larger, T gets larger, and as d gets smaller, T gets smaller. Therefore, the minimum value of T occurs at one of the endpoints of the interval [0, 4]. Since d cannot be negative, the only endpoint we need to consider is d = 4.
When d = 4, the woman rows the entire distance from B to C, and does not need to walk at all. Therefore, the total time taken is:
T = (8 + 4) / 20 = 0.6 hours
Therefore, the woman should walk to point B, and then row the rest of the way to point C, to arrive in the shortest possible time.
Step-by-step explanation:
x + 3=8.5 what is the solution to the equation
Answer:
5.5
Step-by-step explanation:
x＋3＝8.5
or，x＝5.5
I hope it helped you
Please Mark me brainliest
hel help me me please
Answer:
Rows:
1: Add the exponents instead of subtracted. Correct answer [tex]h^{2}[/tex]
2: 9/3 is 3 not 6. Correct answer 3[tex]b^{5}[/tex]
3: This answer is correct. You subtract the exponents when you divide.
[tex]n^{2-6}[/tex] is [tex]n^{-4}[/tex]
4: The 5 should be in the numerator. Correct answer [tex]\frac{5}{c^{8} }[/tex]
5: You add the exponents when you are multiplying the bases and subtract the exponents when you are dividing the bases. Correct answer is [tex]d^{4}[/tex]
6: [tex]2^{3}[/tex] = 8 Correct answer [tex]\frac{a^{4} }{8b^{24} }[/tex]
Step-by-step explanation:
Helping in the name of Jesus.
armer needs a fenced-in 1 square kilometer rectangular region. on one of the four sides, she decides to use fencing that costs three times as much as the fencing on the other three sides. what dimensions will minimize the cost of the fence?
The dimensions will minimize the cost of fence 3555C, armer needs a fenced-in 1 square kilometer rectangular region.
Let the length of the rectangular region be 'l' and the width be 'w'. The area of the rectangular region is given by:
A = lw = 1 sq. km = 1000 x 1000 sq. m
We need to minimize the cost of the fence, which consists of three sides with fencing of cost C and one side with fencing of cost 3C. The total cost of the fence is given by:
Cost = 3Cw + C(2l + w) = 2C(l + w) + Cw
To minimize the cost, we take the derivative of the cost function with respect to w and set it equal to zero:
dCost/dw = 2C - C[tex]w^{(-2)}[/tex]l = 0
Solving for l, we get:
l = 2w
Substituting this value of l in the area equation, we get:
w(2w) = 1000000
2w² = 1000000
w² = 500000
w = √(500000) m = 707.1 m
So, the width of the rectangular region is 707.1 m and the length is 2w = 2 x 707.1 m = 1414.2 m.
Therefore, the dimensions that minimize the cost of the fence are 707.1 m x 1414.2 m and the minimum cost of the fence is:
Cost = 2C(l + w) + Cw = 2C(1414.2 + 707.1) + C(707.1) = 3555C.
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All rational functions can be expressed as f(x)=p(x)/q(x), where p and q are _______________ functions and q(x)=0
All rational functions can be expressed as f(x)=p(x)/q(x), where p and q are polynomial functions and q(x) cannot be equal to 0.
All rational functions can be expressed as f(x) = p(x)/q(x), where p and q are polynomial functions and q(x) ≠ 0.
Rational function is the ratio of two polynomial functions where the denominator polynomial is not equal to zero. It is usually represented as R(x) = P(x)/Q(x), where P(x) and Q(x) are polynomial functions. In past grades, we learnt the concept of the rational number. It is the quotient or ratio of two integers, where the denominator is not equal to zero. Hence, the name rational is derived from the word ratio
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please help, due today
The table represents a linear relationship.
x −1 0 1
y −3 1 5
Which equation represents the table?
A. y equals one fourth times x minus 2
B. y equals negative one fourth times x plus 1
C. y = −4x − 2
D. y = 4x + 1
The equation that represents the linear relationship in the table is D. y = 4x + 1.
Which equation represents the table of values?To find the equation that represents the linear relationship in the table, we need to determine the slope and y-intercept of the line that passes through the given points.
We can use the formula for the slope of a line, which is:
m = (y2 - y1)/(x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of two points on the line.
Using the first two points from the table, we get:
m = (1 - (-3))/(0 - (-1)) = 4/1 = 4
So, the slope of the line is 4.
To find the y-intercept, we can use the point-slope form of the equation of a line, which is:
y - y1 = m(x - x1)
Using the point (0, 1) and the slope m = 4, we get:
y - 1 = 4(x - 0)
y = 4x + 1
So, the equation is D. y = 4x + 1.
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PLEASE HELP!!
Which expression is equivalent to (12x^(4))/(4x^(16))
Identify the expression that is not equivalent to 6x + 3.
Answer:
distribute x as 3:
3²+10(3)+24
=63
Given the following information, choose the brand that is the better buy. Brand A: $2.16 for 18 ounces Brand B: $1.50 for 12 ounces Brand C: $2.26 for 20 ounces Brand D: $1.95 for 16 ounces a. Brand A b. Brand B c. Brand C d. Brand D Please select the best answer from the choices provided A B C D
From the given information , the brand which is a "better-buy" is (c) Brand C .
To determine which brand is the better buy, we calculate the "price-per-ounce" for each brand.
To find the "price-per-ounce" we divide "the cost" by "the number of ounces",
On dividing cost by ounces,
We get,
⇒ For Brand A: $2.16 for 18 ounces,
The "price-per-ounce" is = $2.16/18 = $0.12 per ounce.
⇒ For Brand B: $1.50 for 12 ounces,
The "price-per-ounce" is = $1.50/12 = $0.125 per ounce.
⇒ For Brand C: $2.26 for 20 ounces,
The "price-per-ounce" = $2.26/20 = $0.113 per ounce.
⇒ For Brand D: $1.95 for 16 ounces,
The "price-per-ounce" is = $1.95/16 = $0.122 per ounce.
On comparing the price per ounce, we see that "Brand C" has the lowest price per ounce at $0.113, which makes it the better buy among the options given.
Therefore, the correct answer is (c) Brand C.
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The given question is incomplete, the complete question is
Given the following information, choose the brand that is the better buy.
Brand A: $2.16 for 18 ounces
Brand B: $1.50 for 12 ounces
Brand C: $2.26 for 20 ounces
Brand D: $1.95 for 16 ounces
(a) Brand A
(b) Brand B
(c) Brand C
(d) Brand D
two shaded identical rectangular decorative tiles are first placed (one each) at the top and at the base of a door frame for a hobbit's house, as shown in figure 1. the distance from w to h is 45 inches. then the same two tiles are rearranged at the top and at the base of the door frame, as shown in figure 2. the distance from y to z is 37 inches. what is the height of the door frame, in inches?
The height of the door frame is approximately [tex]68.2 + 2t = 68.2 + 2\sqrt(131.2) \approx95.1[/tex]inches.
Basic geometry concepts.
Firstly, we need to recognize that the two identical rectangular tiles form a vertical rectangle in both figure 1 and figure 2.
Let's call the height of this rectangle "h" and the width "w".
In figure 1, we can see that the distance from the top of the rectangle to the top of the door frame is "h".
Similarly, the distance from the bottom of the rectangle to the bottom of the door frame is also "h".
Therefore, the height of the door frame is simply the sum of the height of the rectangle and the height of the two tiles.
Height of door frame = h + 2t
"t" is the height of one tile.
Next, we can use the same logic for figure 2.
The distance from the top of the rectangle to the top of the door frame is now "y".
Similarly, the distance from the bottom of the rectangle to the bottom of the door frame is "z".
Therefore, we can write:
[tex]Height of door frame = (h - t) + 2t[/tex]
Where (h - t) is the height of the rectangle above the tiles.
Now, we can equate the two expressions for the height of the door frame:
[tex]h + 2t = (h - t) + 2t[/tex]
Simplifying, we get:
h = 3t
We are given that the distance from w to h is 45 inches, so we can use Pythagoras' theorem to find the length of the rectangle:
[tex]w^2 + h^2 = 45^2[/tex]
Substituting h = 3t, we get:
[tex]w^2 + 9t^2 = 2025[/tex]
Similarly, we can use the information in figure 2 to get another equation:
[tex]w^2 + 4t^2 = 1369[/tex]
Now we have two equations with two variables (w and t), which we can solve simultaneously.
Subtracting the second equation from the first, we get:
[tex]5t^2 = 656[/tex]
Therefore,
[tex]t^2 = 131.2[/tex]
And
[tex]h = 3t = 3sqrt(131.2)[/tex][tex]\approx68.2 inches[/tex]
Finally, we can use the Pythagorean theorem again to find the length of the door frame:
[tex]w^2 + h^2 = 45^2[/tex]
Substituting h = 68.2, we get:
[tex]w^2 + 68.2^2 = 2025[/tex]
Solving for w, we get:
[tex]w \approx 41.2 inches[/tex]
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add parentheses to the expression 3x6+4x2 to make the values 42.
Two friends, Julieta and Camila, had just bought their first cars. The equation
y = 38.8x represents the number of
miles, y, that Camila can drive her car for every a gallons of gas. Julieta uses 10 gallons of gas to drive 333 miles in her
car.
Julieta can travel 5.5 miles than Camila on one gallon of gas.
How to find how many miles more Julieta can travel than Camila on one gallon of gas?To find out how many miles more Julieta can travel than Camila on one gallon of gas, we need to compare their respective rates of miles per gallon.
According to the equation y = 38.8x, Camila can drive y miles for every x gallons of gas. Therefore, her rate of miles per gallon is:
y/x = 38.8
On the other hand, Julieta can drive 333 miles on 10 gallons of gas, so her rate of miles per gallon is:
333/10 = 33.3
To find out how many more miles per gallon Julieta can drive than Camila, we can subtract Camila's rate from Julieta's rate:
33.3 - 38.8 = -5.5
This means that Camila can drive 5.5 more miles per gallon than Julieta.
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Complete Question
Two friends, Julieta and Camila, had just bought their first cars. The equation
y = 38.8x represents the number of
miles, y, that Camila can drive her car for every a gallons of gas. Julieta uses 10 gallons of gas to drive 333 miles in her car.
Julieta can travel ____ miles than Camila on one gallon of gas
Five balls, A, B, C, D, and E, weigh 30g, 50g, 50g, 50g, and 80g each. Which ball weighs 30g?
Answer:
Step-by-step explanation:
C
Answer:
A
Step-by-step explanation:
You want to know which ball weighs 30 g if balls A, B, C, D, E weigh 30, 50, 50, 50, 80 grams.
CorrespondenceThe given information does not say what the correspondence is between weights and ball designators. If we assume the given order is the same for designators as for weights, then the first letter corresponds to the first weight, and ...
Ball A weighs 30 g.
__
Additional comment
If there's more to the question, you'd have to use that additional information to decide.
<95141404393>
The following data represent weights (pounds) of a random sample of professional football players on the following teams. X1 = weights of players for the Dallas Cowboys X2 = weights of players for the Green Bay Packers X3 = weights of players for the Denver Broncos X4 = weights of players for the Miami Dolphins X5 = weights of players for the San Francisco Forty Niners You join a Fantasy Football league and you are wondering if weight is a factor in winning Football games. At a 5% level of Significant, determine if the weights of football players on each of these teams is same or different? a. Write the null and alternate hypothesisb. Use Excel to perform an ANOVA analysis. C. Write the value of the test statistic. (Copy it from the Excel printout. )d. What is the p?value associated with this test statistic?
The weights of football players on each of these teams is same or different is given by,
Null hypothesis is H₀: μ₁ = μ₂ = μ₃ = μ₄ = μ₅.
Alternate hypothesis is Hₐ: At least one μₓ is different from the others.
ANOVA analysis is input weight→ separate column →Data tab →Data Analysis→ Single Factor→ click ok→ dialog box input range → output range → click ok.
Value of test statistic is the ratio between-group variance to within-group variance.
The p-value is associated to calculate the test statistic under the null hypothesis using the sampling distribution.
X₁ = weights of players of Dallas Cowboys
X₂ = weights of players of Green Bay Packers
X₃ = weights of players of Denver Broncos
X₄ = weights of players of Miami Dolphins
X₅= weights of players of San Francisco Forty Niners
Significant level = 5%
= 0.05
Null hypothesis is the mean weight of football players is same for all teams,
H₀: μ₁ = μ₂ = μ₃ = μ₄ = μ₅
The alternate hypothesis is ,
At least one mean weight is different.
Hₐ: At least one μₓ is different from the others.
To perform an ANOVA analysis in Excel,
Input the weights data for each of the team into a separate column.
Now, go to the Data tab and click on Data Analysis.
Select ANOVA Single Factor from the list and click ok.
In the ANOVA dialog box,
Input the range of the weights data for all teams.
The Alpha level 0.05 and the output range where the results to be displayed.
Click ok.
Value of the test statistic F-value is displayed in the ANOVA output.
It represents the ratio between-group variance to the within-group variance.
The F-value is used to determine whether the means of the groups are significantly different.
The p-value associated with the test statistic is also displayed in the ANOVA output.
It represents the probability of obtaining an F-value as extreme as the one calculated.
Assume that the null hypothesis is true.
If the p-value is less than the significance level 0.05.
Reject the null hypothesis .
Conclude that there is evidence of a significant difference in the mean weights of football players among the teams.
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Pollyomial Roller coaster project! HELP PLEASE
please show all work, below is an example, rubric, and what's needed in this graph.
please show the graph and Factored form
Thank you
The description of the polyomial roller coaster project is shown below
Solving the polyomial roller coaster projectProposal for the "Imaginary Rush" Roller Coaster:
Coaster name: Imaginary RushFactored form of polynomial: 1/10(x + 1)(x - 2)(x - 4)(x + 5i)(x - 5i)Standard form of the polynomial: f(x) = 1/10[x⁵ - 5x⁴ + 27x³ - 117x² + 50x + 200]The polynomial's graph is attached
Description of how client specifications are met:
The coaster starts on ground level, as the graph of the polynomial crosses the x-axis at x = -1.The coaster goes underground, as the graph dips below the x-axis at x = 4.The coaster includes the imaginary root, as the polynomial has two complex roots at x = 5i and x = -5i.The coaster "grazes" the ground, as the graph of the polynomial touches the x-axis at x = 2.Interpretation of the practicality of the design:
The design of Imaginary Rush is both exciting and practical. The coaster meets all the client's specifications while also providing a thrilling ride for coaster enthusiasts.
The dips and peaks of the coaster follow the behavior of the polynomial, providing a unique experience for riders.
The use of the imaginary root adds an additional level of excitement to the ride, making it stand out from other roller coasters.
Overall, the design of Imaginary Rush is both fun and practical, making it an excellent addition to any theme park.
Discussion of the polynomial's behaviors:
Tail Behavior: As x approaches negative infinity, the value of the function approaches negative infinity. As x approaches positive infinity, the value of the function approaches positive infinity.Relative Maxima/Minima: The polynomial has a relative maximum at x = 2 and a relative minimum at x = 4.Intervals of increasing/decreasing behavior: [tex]\mathrm{as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:-\infty \:[/tex], [tex]\mathrm{as}\:x\to \:+\infty \:,\:f\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:f\left(x\right)\to \:-\infty \:[/tex]Read more about polynomial at
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9) all of the following are required of a binomial distribution except: a) each trial has exactly two outcomes. b) the number of trials is fixed. c) all trials have the same probability of success. d) there must be at least 30 trials.
d) there must be at least 30 trials.
Fill in the blanks with the appropriate justifications (reasons) for the steps used in solving the equation. Statements 1.x/2-9=-4 given 2. x/2=-13 3 x=-26 what are the justifications for 2 and 3
Therefore, the justification for step 2 is "Addition Property of Equality" and the justification for step 3 is "Multiplication Property of Equality".
What is equation?An equation is a mathematical statement that shows the equality of two expressions, usually separated by an equal sign. It means that the expressions on both sides of the equal sign represent the same value or quantity. Equations can involve one or more variables and may have different degrees of complexity. They are commonly used to model various real-world situations and to solve problems in mathematics, science, engineering, and other fields.
Here,
2. To isolate the variable term, add 9 to both sides. This yields:
x/2 - 9 + 9 = -4 + 9
Simplifying the left side, we get:
x/2 = 5
3. To solve for x, multiply both sides by 2. This yields:
x/2 * 2 = 5 * 2
Simplifying both sides, we get:
x = -10
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Question # 5
Question # 6
Question # 7
Question # 8
Question # 9
Question # 10
Question # 11
Answer: question#7 is 7/12
question#8 is 1 3/8
question#5 is 1/2
question#6 is 12
question#9 is 1 1/6
question#10 is 31/40
question#11 is 3/4
Step-by-step explanation: give brainliest
Question #5: Option A, [tex]\frac{1}{2}[/tex]
Question #6: Option A, 12
Question #7: Option A, [tex]\frac{7}{12}[/tex]
Question #8: Option D, [tex]1\frac{3}{8}[/tex]
Question #9: Option D, [tex]1\frac{1}{6}[/tex]
Question #10: [tex]\frac{31}{40}[/tex]
Question #11: [tex]\frac{3}{4}[/tex]
Pls mark brainliest
7) Anna wants to sell her car for $200. But before she puts an ad out, she learns
that the car is actually a speical edition, and many collectors want it. What will
she probably do to the price of her car?
Answer:
She will increase the price of the car
Step-by-step explanation:
This is because if more mass want the car, since the car is in mass demand the price should inflate in order for Anna to get the best deal for herself.
answer please!!!!!! i need this so i can pass my classes
The area of the shaded region is given as follows:
1.25 units squared.
How to obtain the area of a rectangle?To obtain the area of a rectangle, you need to multiply its length by its width. The formula for the area of a rectangle is:
Area = Length x Width
The parameters for the shaded region in this problem are given as follows:
Length of 5 units.Width of 1/4 units.Hence the area is given as follows:
Area = 5 x 1/4
Area = 1.25 units squared.
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7(x + 2) = 7x + 14 how many solutions are there
The Buckley family is looking to rent a large truck for their upcoming move. With Kendall's Moving, they would pay $27 for the first day plus $6 per additional day. With Newton Rent-a-Truck, in comparison, the family would pay $7 for the first day plus $11 per additional day. Before deciding on which company to use, Mrs. Buckley wants to find out what number of additional days would make the two choices equivalent with regards to cost. What would the total cost be? How many additional days would that be? The Buckley family would pay $ either way if they rented the truck for additional days.
The Buckley family would pay $51 either way if they rented the truck for 4 additional days.
To solve the question :
Total cost for Kendall's Moving :
= $27 + $6x,
where
x = Number of additional days rented.
Total cost for Newton Rent-a-Truck :
= $7 + $11x
To find the number of additional days we will put both the equations i.e., $27 + $6x and $7 + $11x, equal to each other.
= $27 + $6x = $7 + $11x
Subtracting $7 from both sides :
= $20 + $6x = $11x
Subtracting $6x from both sides :
= $20 = $5x
Dividing both sides by $5 :
= x = 4
Hence, the number of additional days is 4.
So,
Kendall's Moving and Newton Rent-a-Truck would be the same if the truck is rented for 4 additional days by the Buckley family :
Putting the values of x in the equations :
Total cost for Kendall's Moving :
= $27 + $6x,
= $27 + $6(4)
= $51
Total cost for Newton Rent-a-Truck
$7 + $11x
= $7 + $11(4)
= $51
Hence, the Buckley family would pay $51 either way if they rented the truck for 4 additional days.
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the fallacy of equivocation occurs whenever a word has one meaning in one premise and the same meaning in another premise or the conclusion. group of answer choices true false
The given statement "The fallacy of equivocation occurs whenever a word has one meaning in one premise and the same meaning in another premise or the conclusion." is false because it will lead to invalid conclusion.
The fallacy of equivocation occurs when a word or phrase is used in multiple senses within an argument, leading to a misunderstanding or invalid conclusion. This can happen when a word or phrase is used ambiguously, with different meanings in different contexts or definitions.
Equivocation can occur not only between different premises, but also within a single premise or conclusion. To avoid equivocation, it is important to clarify the intended meaning of terms and to ensure that they are used consistently throughout the argument.
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the axis of symmetry for a quadratic equation can be found using the formula , where a and b are coefficients in the quadratic equation and x represents the values along a vertical line on the coordinate plane. what is the equation when solved for a?
The value of a is a = -b/2x
What Is Quadratic Equation?Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax^2 + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where 'a' is called the leading coefficient and 'c' is called the absolute term of f (x).
Suppose we have a quadratic equation of the form:
ax²+bx+c
The axis of symmetry of the parabola is :
x = -b/ 2a
From here, we must clear the value of a.
1) Pass 2a multiplying to the other side of the equation:
2ax=-b
2) Clear the value of a by passing 2x to divide:
a = -b/2x
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How is the volume of the first rectangular prism with base 2m by 3m and height 5m related to the volume of the second rectangular prism with base 3m by 5m and height 2m? Explain.
Answer:
they have the same volume
Step-by-step explanation:
in order to find the volume of a rectangular prism you have to multiply the width,height and length.
2 × 3 × 5 = 30.since both prisms have the same numbers ,they have the same volume.
hope this helps :)
Answer:
The volumes of the two rectangular prisms are the same.
Step-by-step explanation:
For the first rectangular prism, the area of the base is 6 square meters, and the height is 5 meters, so the volume is 30 cubic meters.
For the second rectangular prism, the area of the base is 15 square meters, and the height is 2 meters, so the volume is 30 cubic meters, the same volume as the first rectangular prism.
