Answer:
100
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
rechna notices her car driving at 40km/hr and knows that at that speed she will reach home in 2 hours if she wants to reach her home only in an half hour by what percentage does she need to increase her speed choose the correct answer 50%,100%,200%,400%
To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed. Therefore, the correct answer is 200%.
What is speed?Speed is a measure of how quickly an object or person moves from one point to another. It is usually expressed in terms of distance traveled over time, for example, miles per hour or kilometers per hour.
To calculate this, we need to find the time taken for her to reach her home if her speed is doubled.
If her initial speed is 40 km/hr, then by doubling her speed, she will be travelling at a speed of 80 km/hr.
By travelling at this speed, she can reach her home in half an hour i.e. 30 minutes.
Therefore, the time taken to reach her destination by doubling her speed is 30 minutes.
The time taken to reach her destination while travelling at her initial speed is 2 hours.
To calculate the percentage increase in speed, we have to find the ratio of the time taken to reach her destination when the speed is doubled to the time taken to reach her destination when the speed is not doubled.
Therefore, the percentage increase in speed
= (30/120) x 100
= 25%.
Since she needs to double her speed to reach her home in half an hour, the percentage increase in speed required is 100%.
To reach her home in half an hour, she needs to double her speed twice, which is equivalent to a 200% increase in speed.
Therefore, the correct answer is 200%.
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Please help with piece wise function
Answer:
\(h( - 5) = 1 \\ h(2) = 4 \\h(5) = 1\)
factorise fully x^2 - x
Answer: x (x - 1)
Step-by-step explanation:
Larissa is ordering nachos at a restaurant, and the server tells her that she can have up to four toppings: ground beef, black beans, refried beans, and sour cream. Since she cannot decide how many of the toppings she wants, she tells the server to surprise her. If the server randomly chooses which toppings to add, what is the probability that Larissa gets just refried beans and sour cream
Answer:
0.0625
Step-by-step explanation:
Given that :
Number of toppings = 4 (ground beef, black beans, refried beans, and sour cream)
The probability of choosing any particular topping at random from the four is :
Probability = required / total possible outcomes
Hence, P = 1 / 4 = 0.25
Hence, the probability of choosing : getting refried bean and sour cream :
P(refried bean) = 1/4
P(sour cream) = 1/4
P(refried bean and sour cream) = 1/4 * 1/4 = 1/16 =
0.0625
A meteorologist found that the rainfall in Vindale during the first half of the month was 1/2 of an inch. At the end of the month, she found that the total rainfall for the month was 2/3 of an inch. How much did it rain in the second half of the month?
The quantity of rainfall that fell in the second half of the month is; ¹/₆ of an inch.
How to solve fraction word problems?We are given;
Rainfall during first half of the month = 1/2 inch
Total rainfall for the month = 2/3 inch
Now, to find the rainfall for the second half of the month, we just subtract the one for the first half from the one for the month to get;
Rainfall in second half of the month = ²/₃ - ¹/₂ = ¹/₆ inches
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Estimate the product and find the correct equation to match.
8 x 749
O 8 x 70
O 8 X 700 = 56
O 8 X 700 = 5,600
O 8 x 749 = 5.992
Thank you ☺️
PLEASE HELP
h(3) = 5x2^-x , Evaluate the function h (3)
In a sample of 560 adults, 336 had children. Construct a 95% confidence interval for the true population proportion of adults with children.
Give your answers as decimals, to three places
< p
Answer:
\(\{0.559,0.641\}\)
Step-by-step explanation:
\(\displaystyle CI_{95\%}=\frac{336}{560}\pm1.96\sqrt{\frac{\frac{336}{560}(1-\frac{336}{560})}{560}}\approx\{0.559,0.641\}\)
Triangles A B C and D E F are shown. Triangle A B C is rotated to the left about point A and then is shifted up and to the right to form triangle D E F. What are the rigid transformations that will map △ABC to △DEF? Translate vertex A to vertex D, and then reflect △ABC across the line containing AC. Translate vertex B to vertex D, and then rotate △ABC around point B to align the sides and angles. Translate vertex B to vertex D, and then reflect △ABC across the line containing AC. Translate vertex A to vertex D, and then rotate △ABC around point A to align the sides and angles.
Answer:
The answer is D. Translate vertex A to Vertex D, and then rotate triangleABC around point A to align the sides and angles
Translating vertex A to vertex D, and then rotate △ABC around point A to align the sides and angles will bring about a rigid transformation, the correct answer is D.
What are Rigid transformation?The transformations that preserves the Euclidean distance between points. This could be as a result of the any transformation.
Triangle ABC and DEF is shown,
Triangle A B C is rotated to the left about point A and then is shifted up and to the right to form triangle D E F.
To map ΔABC to ΔDEF , the vertex A will be translated to vertex D, and then the triangle is rotated around point A.
This will maintain the distance between the points when vertex A to D.
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Write down the letter of the shape that is congruent to the shaded shaPe
Answer:
E looks like it is most congruent
Step-by-step explanation:
Use geometry to evaluate
Refer to the images attached. Now I am guessing when it says "use geometry" was to graph it? I wasn't completely sure. I attached how I would normally evaluate that problem and a graph of the piecewise function. It has been a while since I have dealt with integrating piecewise function, please let me know what process you were supposed to use if you figure it out. Hope this helps you a bit, have a good one!
Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity:
In the given triangle ABC, angle A is 90° and segment AD is perpendicular to segment BC.
The figure shows triangle ABC with right angle at A and segment AD. Point D is on side BC.
Which of these could be a step to prove that BC2 = AB2 + AC2?
possible answers -
By the cross product property, AB2 = BC multiplied by BD.
By the cross product property, AC2 = BC multiplied by BD.
By the cross product property, AC2 = BC multiplied by AD.
By the cross product property, AB2 = BC multiplied by AD.
The correct step to prove that \(BC^2 = AB^2 + AC^2\) is:
By the cross product property, \(AC^2 = BC \cdot AD\).
To prove that \(BC^2 = AB^2 + AC^2\), we can use the triangle similarity and the Pythagorean theorem. Here's a step-by-step explanation:
Given triangle ABC with right angle at A and segment AD perpendicular to segment BC.
By triangle similarity, triangle ABD is similar to triangle ABC. This is because angle A is common, and angle BDA is a right angle (as AD is perpendicular to BC).
Using the proportionality of similar triangles, we can write the following ratio:
\($\frac{AB}{BC} = \frac{AD}{AB}$\)
Cross-multiplying, we get:
\($AB^2 = BC \cdot AD$\)
Similarly, using triangle similarity, triangle ACD is also similar to triangle ABC. This gives us:
\($\frac{AC}{BC} = \frac{AD}{AC}$\)
Cross-multiplying, we have:
\($AC^2 = BC \cdot AD$\)
Now, we can substitute the derived expressions into the original equation:
\($BC^2 = AB^2 + AC^2$\\$BC^2 = (BC \cdot AD) + (BC \cdot AD)$\\$BC^2 = 2 \cdot BC \cdot AD$\)
It was made possible by cross-product property.
Therefore, the correct step to prove that \(BC^2 = AB^2 + AC^2\) is:
By the cross product property, \(AC^2 = BC \cdot AD\).
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Part A: Which polynomial below is a fourth-degree polynomial in standard form? Explain how you know it is a fourth-degree polynomial and how do you know it’s in standard form.
(Image Below)
Part B: Explain the closure property as it relates to polynomials and give an example.
In the given question, all the equations are fourth degree polynomial because they all have the highest power of 4
What is degree of polynomial?A polynomial's degree is the highest or the greatest power of a variable in a polynomial equation.
In the given question, all the equation are fourth degree polynomial
2x^3 -3x^2 + 1 + 5x^45x^4 + 2x^3 -3x^2 + 1-3x^2 + 1 + 5x^4 + 2x^31 - 3x^2 + 2x^3 + 5x^4What closure property relates here is that when we add two different polynomial, the result will definitely be a polynomial.
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Which line segment is only a chord of F
If f (x) = x2 + 4x-12. find f(2).
Answer:
f= x^2+4x−12 /x
Step-by-step explanation:
Step 1: Divide both sides by x.
fx /x = x^2+4x−12 /x
f= x^2+4x−12 /x
Which sequence of transformations proves that shape I is similar to shape II?
A.
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2
B.
a reflection across the x-axis, and then a dilation by a scale factor of 3
C.
a reflection across the x-axis, and then a dilation by a scale factor of 2
D.
a 90° counterclockwise rotation about the origin, and then a dilation by a scale factor of 3
Answer: B
Step-by-step explanation:
Answer:
Your answer will be B
Step-by-step explanation:
PLEASE HELP ME !! i don't know how to answer
Answer:
not sure but I think they are
Answer:
Not Congruent
Step-by-step explanation:
We are not given enough information to fit any of the listed proofs.
Would you please mark my answer brainliest if it helped you? :D
I know i keep asking for help but im an older lady and this math is new to me
The Roster method involves the use of curly brackets in listing the elements in a set. Listing the elements in set B with the Roster method, we have
B = {8, 12, 23, 52, 58}
How many theorems are there for circles? And what are they?
In Mr. Romeo's class, a student must work on i-Ready for at least 4 hours per month to receive a grade of 100. Last month Sophia received a math grade of 100. Which inequality represents the number of hours Sophia spent working on i-Ready last month, where h represents the number of hours? (PLEASE HELP MEE!! GIVING 10 POINTS!)
A. h≥4
B. h>100
C. h≤100
D. h<4
The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.
Option A is the correct answer.
We have,
The problem states that a student must work on i-Ready for at least 4 hours per month to receive a grade of 100.
Since Sophia received a math grade of 100, it means that she has met the requirement of working on i-Ready for at least 4 hours in the last month.
And,
The symbol "≥" means "greater than or equal to," indicating that Sophia worked for at least 4 hours.
Therefore,
The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.
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Parallelogram ABCD had coordinates A(0,7) and C(2, 1) Which statement will prove ABCD is a Rectangle?
The midpoint of AC is (1, 4).
The length of BD is √40.
The slope of BD is 1/3
The slope of AB is 1/3.
Answer:
Option (2)
Step-by-step explanation:
ABCD is a parallelogram having vertices A(0,7) and C(2, 1).
Therefore, length of diagonal AC = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
= \(\sqrt{(0-2)^2+(7-1)^2}\)
= \(\sqrt{40}\)
Since, diagonals of a rectangle measure the same and bisect each other,
Length of other diagonal BD will also measure \(\sqrt{40}\).
Therefore, Option (2) will be the correct option.
What is the equation of the line that goes through the points (1,1) and 3,-3)
Answer:
y = -2x + 3
Step-by-step explanation:
[]Let us write an equation in slope-intercept form.
-> See attached
-> Our equation will start out as y = x
[] The slope can be found by taking the change in y divided by the change in x
-> \(\frac{-3-1}{3-1}=\frac{-4}{2}=\frac{-2}{1}=-2\)
-> Now our equation is y = -2x
[] The y-intercept, or b, can be found by plugging a point given to us into the equation we have so far.
-> y = -2x + b
(1) = -2(1) + b
1 = -2 + b
3 = b
-> Now our equation is y = -2x + 3, which is our final answer.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Answer:
y = -2x +3
Step-by-step explanation:
coordinates given (1,1) and (3,-3)
How to find equation? first find slope.
slope formula:
(y2-y1)/(x2-x1)
using this formula:
(-3-1)/(3-1)
-4/2
-2 ........this is slope also refereed as (m) in short form.
Use the formula:
y - y1 = m( x - x1)
using the formula:
y - 1 = -2( x - 1)
y -1 = -2x + 2
y = -2x +3
Darren says that more students hands are 4 2/4 inches longer than 4 and 5 1/4 inches combined. is he right?Explain you're answer
In a case whereby Darren says that more students hands are 4 2/4 inches longer than 4 and 5 1/4 inches combined, he is wrong
What is the justification?
\(4\frac{2}{4}\) that was given in the question can be seen as mixed fraction, we can expressed this as improper fraction so that it will be easier to handle.
\(4\frac{2}{4} = \frac{16+4}{2}\)
=\(\frac{18}{4}\)
Then \(4 + 5\frac{1}{4} = \frac{16}{4} +\frac{20+1}{4} \\\\=\frac{37}{4}\)
Then after expressing the given fractions as improper fraction we can now compare them so that e will know may be Darren is right or wrong, then here we can see that \(\frac{18}{4}\) is less than \(\frac{37}{4}\) Hence, Darren is wrong.
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geometry need help asap
The value of angle LAF in the intersecting chords is determined as 104⁰.
What is the value of angle LAF?The value of angle LAF is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.
Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.
m∠LAF = ¹/₂ (arc LF + arc YS)
From the diagram, we have arc LF = 160⁰ and YS = 48⁰
m∠LAF = ¹/₂ (160 + 48)
m∠LAF = 104⁰
Thus, the value of angle LAF is calculated by applying intersecting chord theorem.
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Shreya has 40 pairs of shoes stacked in boxes.
If a pair is 2 shoes, how many shoes does Shreya have?
Answer:
80 shoes
Step-by-step explanation:
sin e a pair is 2 shoes,
Shreya has 40×2shoes
= 80 shoes
therefore, Shreya has 80 shoes
40 x 2
=80 shoes
(We now have school systems which force students to study maths and, through enough exposure, our brains can learn to think mathematically. But if those skills cease to be used, the human brain will quickly return to factory settings...- Matt Parker )
What does a Midpoint of a line seament create? Choose all that apply (there are 2 answers.)
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
c = 52 yards
Step-by-step explanation:
You have to use the Pythagorean theorem to solve this question.
\(a^2+b^2=c^2\)
The hypotenuse is longest side of a triangle.
Lets substitute in our values:
\(20^2+48^2=c^2\)
Lets simplify this to:
\(400 + 2304 = 2704\)
Now we need to find the square root of 2704:
\(\sqrt{2704}=52\)
Therefore, the hypotenuse is 52 yards long.
A rancher has 200 feet of fencing to enclose two adjacent rectangular corrals. What dimensions should
be used so that the enclosed area will be a maximum?
Length is 33.33 feet and width is 25 feet are dimensions should
be used so that the enclosed area will be a maximum.
What is Area of Rectangle?The area of Rectangle is length times of width
Given that, a rancher has 200 feet of fencing to enclose two adjacent rectangular corrals of the same dimensions.
Here, the dimensions of the rectangles are the same.
The width of the two rectangles is W=2W+2W=4W
The length of the two rectangles is L=L+L+L=3L
Because the adjacent side has a common length.
3L+4W=200
3L=200-4W
Divide both sides by 3
L=(200-4W)/3
Let us form an equation using the area of rectangle formula:
A=2LW
=2(200-4W)/3.W
A=400-8W²/3
Let us differentiate to get the area to be maximized dA/dW=0
1/3×(400-8W²)=0
1/3(400-16W)=0
400-16W=0
400=16W
Divide both sides by 16
W=25
The width is 25 feet.
Substitute W value in equation to get L value:
L=200-4×25/3
=200-100/3
=100/3
=33.33
The length is 33.33 feet.
Now let us find the maximum area
A=2LW
=2×33.33×25
=1666.66
Hence, length is 33.33 feet and width is 25 feet are dimensions should
be used so that the enclosed area will be a maximum.
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Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.4 years with a standard deviation of 0.8 years.
Step 2 of 2: If a sampling distribution is created using samples of the ages at which 38 children begin reading, what would be the standard deviation of the sampling distribution of sample means? Round to two decimal places, if necessary.
Answer:
Step-by-step explanation:
The standard deviation of the sampling distribution of sample means is given by the formula:
standard deviation = population standard deviation / sqrt(sample size)
Here, the population standard deviation is 0.8 years, and the sample size is 38. Substituting these values into the formula, we get:
standard deviation = 0.8 / sqrt(38)
standard deviation ≈ 0.13
Rounding to two decimal places, the standard deviation of the sampling distribution of sample means is approximately 0.13 years.
Write the correct inequality for the following statement and then solve for the given number of
guests.
You are in charge of planning your mother's surprise party. You have
found a hall that rents for $225 and a caterer that will charge you $15 per
guest. Write an inequality to calculate your total cost (T) based on the
number of guests (g).
If you have a total budget of $1000 how many guests can you
invite?
The inequality that can be used to calculate total cost (T) based on the number of guests (g) is 225 + 15g ≤ 1000.
If you have a total budget of $1000, 51.67 guests can be invited.
How to write inequality equation?Cost of hall rent = $225Caterer's charge per guest = $15Total cost = TNumber of guests = gTotal cost = Cost of hall rent + Caterer's charge per guest(Number of guests)
225 + 15g ≤ T
If you have a total budget of $1000
225 + 15g ≤ T
225 + 15g ≤ 1000
substract 225 from both sides15g ≤ 1000 - 225
15g ≤ 775
divide both sides by 15g ≤ 775 / 15
g ≤ 51.66666666666666
Approximately,
g ≤ 51.67
So therefore, the inequality to represent the situation is 15g ≤ 1000 - 225 and about 51.67 guests can be invited if you have a budget of $1000
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