A, B, D are your answers
AP E X
Point H is the midpoint of FG, Line t intersects FG at a right angle and Line t is perpendicular to FG are true statements.
What is Coordinate Geometry?A system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
A. Point H is the midpoint of FG: This statement must be true because line t is the perpendicular bisector of FG, which means it passes through the midpoint of FG and intersects FG at a right angle.
Therefore, H is the midpoint of FG.
B. Line t intersects FG at a right angle: This statement must be true because line t is the perpendicular bisector of FG, which means it intersects FG at a right angle.
C. FG = FH: This statement is not necessarily true.
While H is the midpoint of FG, the length of FH depends on the position of point H along line t. It could be greater than, less than, or equal to half the length of FG.
D. Line t is perpendicular to FG
This statement must be true because line t is the perpendicular bisector of FG, which means it is perpendicular to FG.
E. Line t is parallel to FG: This statement is not true. If line t were parallel to FG, it would not intersect FG at all, let alone at a right angle as required for a perpendicular bisector.
Therefore, Point H is the midpoint of FG, Line t intersects FG at a right angle and Line t is perpendicular to FG are true statements.
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Help! Stuck on this question (calculus)
If [tex]y=\frac{3}{x^2}[/tex]
work out [tex]\frac{dx}{dy}[/tex]
Answer:
[tex]\displaystyle \frac{dx}{dy} = \frac{3\sqrt{\frac{3}{y}}(y - 1)}{6y}[/tex]
General Formulas and Concepts:
Algebra I
Terms/CoefficientsFunctionsFunction NotationCalculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Implicit Differentiation
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = \frac{3}{x^2}[/tex]
Step 2: Differentiate
Rewrite Function: [tex]\displaystyle yx^2 = 3[/tex][Implicit Differentiation] Basic Power Rule [Product Rule]: [tex]\displaystyle y^{1 - 1}x^2 + y(2x^{2 - 1})\frac{dx}{dy} = 3[/tex]Simplify: [tex]\displaystyle x^2 + y(2x)\frac{dx}{dy} = 3[/tex]Isolate [tex]\displaystyle \frac{dx}{dy}[/tex] term: [tex]\displaystyle y(2x)\frac{dx}{dy} = 3 - x^2[/tex]Isolate [tex]\displaystyle \frac{dx}{dy}[/tex]: [tex]\displaystyle \frac{dx}{dy} = \frac{3 - x^2}{2xy}[/tex]Substitute in x²: [tex]\displaystyle \frac{dx}{dy} = \frac{3 - \frac{3}{y}}{2xy}[/tex]Simplify: [tex]\displaystyle \frac{dx}{dy} = \frac{3(y - 1)}{2xy^2}[/tex]Substitute in x: [tex]\displaystyle \frac{dx}{dy} = \frac{3(y - 1)}{2y^2(\sqrt{\frac{3}{y}})}[/tex]Simplify: [tex]\displaystyle \frac{dx}{dy} = \frac{3\sqrt{\frac{3}{y}}(y - 1)}{6y}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Derivatives
Book: College Calculus 10e
A counter recorded 254 revolutions of the bicycle wheel shown. How far did the bicycle travel? Use 22/7
[tex]C=\pi d[/tex]
[tex]22/7(5/4)[/tex]
[tex]=3.92857142857[/tex]
[tex]3.92857142857(254)[/tex]
[tex]=997.857142857[/tex]
In 254 revolutions , the bicycle will travel [tex]997.85m[/tex]
Circumference :The circumference of bicycle is given as,
[tex]C=\pi d[/tex]
Where [tex]d[/tex] is diameter of bicycle.
Given that,[tex]d=\frac{5}{4} ,\pi=22/7[/tex]
Substitute values in above equation.
[tex]C=\frac{22}{7}*\frac{5}{4}\\ \\ C=\frac{110}{28}=3.93[/tex]
In 254 revolutions of the bicycle wheel is,[tex]C=254*3.93=997.85m[/tex]
In 254 revolutions , the bicycle will travel [tex]997.85m[/tex]
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Your question was incomplete , Complete question is here :
"A counter recorded 254 revolutions of the bicycle wheel shown below how far did the bicycle travel. Use 22/7 as pi and the diameter of the wheel is 5/4."
What is the area of the given compound shape?
1. 19 sq cm
2. 25 sq cm
3. 34 sq cm
Answer:
(A)
Step-by-step explanation:
As you can see, the figure can be divided into a square of side 2cm and a rectangle of sides 5cm and 3cm so we find the area of both and add.
Area of the square
= 2x2 = 4cm^2
Area of the rectangle
= lxb
= 3x5
= 15 cm^2
Therefore the area of the entire figure
= Area of square + area of rectangle
= 15+4
= 19 cm^2
So the correct option is (a)
Hope this helps:)
Answer:
Option 1
Step-by-step explanation:
I broke the figure up into two shapes. One of them was a square and the other one was a big rectangle. I calculated the two areas and added them back together. My work is attached in the picture.
Area of a square is: s^2
's' -side length
Area of a rectangle is: b * w
'b' - base or length
'w' - width
The area of the figure should be 19cm².
The ratio of boys to girls in a school is 4:5. How many boys are in the school if there are 720 students.
Answer:
There are 320 boys
Step-by-step explanation:
boys: girls : total
4 5 4+5 = 9
Take the total and divide by 9
720/9 = 80
Multiply each term by 80
boys: girls : total
4*80 5*80 9*80
320 400 720
There are 320 boys
Answer:
324 boys
Step-by-step explanation:
Add the ratio, 4+ 5 = 9 and divide 720 with nine. Then multiply that value, 81, with 4 to find the number of boys, and multiply with 5 to get the girls
Write the expression
Divide y by 9 then subtract z from the result
Answer:
Bruh its not that hard, but ill answer it. answer is below
Step-by-step explanation:
Divide y by 9 then subtract z from the result
We know that y divided by 9 is y/9
and the you subtract z from it: y/9-z
but i think that since it says "subtract z FROM THE RESULT"
I think it is
(y/9)-z
Would side lengths 5,7, and 10 form a triangle?
Answer:
Yes
Step-by-step explanation:
Add any two sides and see if it is greater than the third for all three sides
5+7 > 10 true
7+10 > 5 true
10+7 > 5 true
Then the three sides form a triangle
what is 8.92 x 106 in standerd form
[tex]8.92 \times 10^6[/tex]
[tex]8920000[/tex]
Answer: 945.52
Step-by-step explanation:
Which inequality is represented by this graph?
Answer: C
Step-by-step explanation:
We can say that the equaiton of the line is -1/6x+1, considering that is in each answer choice. Than main part is the shading and inequality. If you look closely at the graph, the shading line is a dashed/dotted line. This means the shaded part does not equal the actual line. We can eliminate B and D.
Now, we are left with A and C. A is saying y< while C is saying y>. C is the correct answer because if you look at the shading, it it above the line, which is greater than. Therefore, the answer is C.
help please? what is the following quotient?
Answer:
√(30) - 3√(2) + √(55) - √(33) / 2
Step-by-step explanation:
Lisa’s test grades are 79, 89, and 90.
What is Lisa’s test average?
Answer:
Lisa's text average is 86 :))
Step-by-step explanation:
add all numbers up then divide them by 3.
Isaac is constructing a circular pool that has a diameter of 20 ft and is 5 ft deep. Part A: Find the circumference of the pool to the nearest tenth of a foot. Use 3.14 for pi. Part B: Find the area of the circle formed by the pool to the nearest foot.
Answer:
The circumference of the pool is 62.8 foot long and the area of the circle formed by the pool is 314 ft².
Step-by-step explanation:
The circumference of the pool can be found by calculating the arc's length of the edges of the pool. This is done by using the following formula:
[tex]circumference = 2*\pi*r[/tex]
Where the radius is half the diameter, applying the data from the problem we have:
[tex]circumference = 2*3.14*10 = 62.8 \text{ ft}[/tex]
The area of the circle formed by the pool can be found using the following expression:
[tex]area = pi*r^2 = 3.14*(10)^2 = 314 \text{ ft}^2[/tex]
The circumference of the pool is 62.8 foot long and the area of the circle formed by the pool is 314 ft².
Consider this system of linear equations: y = –3x + 5 y = mx + b Which values of m and b will create a system of linear equations with no solution?
Answer:
m = - 3 and b = - 3.
Step-by-step explanation:
A system of linear equations will not have solutions if the two lines are parallel.
Two equations are parallel:
1. if their slopes (m) are equal
2. the y-intercep (b) are different.
As y = - 3x + 5, the value of m of the other equation, y = mx + b, in order to make a system with no solution, needs to be - 3, and the value of b need to be different to 5.
The only pair from the choices that meets that is the first option m = - 3 and b = -3.
Answer:
m = -3, b = 5
Step-by-step explanation:
The values m = -3 and b = 5, forms a linear equation: y = -3x + 5. This obviously coincides with the original equation given, and so will create a system of linear equations with no solution.
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!
Answer:
-5x=-11
Step-by-step explanation:
[tex]-4x-2y=-2 \\\\x-2y=9[/tex]
Subtract the second equation from the first:
[tex]-4x-(x)-2y-(-2y)=-2-(9)\\\\-5x=-11[/tex]
Hope this helps!
What is the equation of the line of best fit for the following data round the slope and Y intercept of the line to three dimensional places. Please help ASAP thank you so much.
Answer:
y = 1.56 x - 4.105
which agrees with answer "B" in your list of possible options.
Step-by-step explanation:
Notice that you are expected to use some type of regression tool for this problem. either a computer program or a handheld graphing calculator with such functionality.
I have entered the set of data points in two separate lists, one for the x-values,and another one for the y-values, and run the linear regression tool in order to get the best fitting line. See what I obtained using this tool in the screen capture I am attaching below.
Notice that the line of best fit reads:
y = 1.56015038 x - 4.10526316
showing clearly the slope and y-intercept of the line of best fit.
Rounding slope and y-intercept to the third decimal, we get:
y = 1.56 x - 4.105
which agrees with answer "B" in your list of possible options.
Rania is riding the ferris wheel. Her vertical height H(t)H(t)H, left parenthesis, t, right parenthesis (in \text{m}mstart text, m, end text) off the ground as a function of time ttt (in seconds) can be modeled by a sinusoidal expression of the form a\cdot\cos(b\cdot t)+da⋅cos(b⋅t)+da, dot, cosine, left parenthesis, b, dot, t, right parenthesis, plus, d. At t=0t=0t, equals, 0, when she starts moving, she is at a height of 10\text{ m}10 m10, start text, space, m, end text off the ground, which is as low as she goes. After 20\pi20π20, pi seconds, she reaches her maximum height of 30\text{ m}30 m30, start text, space, m, end text. Find H(t)H(t)H, left parenthesis, t, right parenthesis.
Answer:
H(t) = -10·cos(t/20) +20
Step-by-step explanation:
The range of heights is ...
30 m - 10 m = 20 m
The amplitude of the cosine function is half that, or 10 m. Here, the function starts off at a minimum, whereas the parent cosine function starts at a maximum. That means the parent function is reflected vertically, so the amplitude coefficient in H(t) is negative.
The midline of the cosine function is the average of the extreme heights, so is ...
midline = (30 m +10 m)/2 = 20 m
The period of the function is double the time it takes to go from a minimum to a maximum, so is ...
p = 2(20π) = 40π . . . . seconds
In the given function form ...
H(t) = a·cos(bt) +d
the amplitude is a=-10; the coefficient b is 2π/p = 1/20; and the midline is d = 20. Then the function is ...
H(t) = -10·cos(t/20) +20
The number of flowers, f, that a gardener can plant along a border of a garden varies inversely with the distance d (in inches) between the flowers. If the gardener can fill the border with 30 flowers planted 12 inches apart, how far apart should the gardener plant 36 flowers instead?
Answer:
d=20
Hope it helps :]!!!!!!!
What is the purpose and structure of a proof in Geometry?
Answer: A geometric proof involves writing reasoned, logical explanations that use definitions, axioms, postulates, and previously proved theorems to arrive at a conclusion about a geometric statement.
Telephone pole breaks and falls as shown. To the nearest foot, what was the
original height of the pole? they are 7 ft and 10 ft pls explain how u got the answer and the choices r a.19ft. b.17ft. c.20ft. d.18 ft pls find the answer for me
but its a triangle and in the bottom it has number 10 and in the long side of the triangle is 7
Answer:
Length of the pole = 12.2ft
Step-by-step explanation:
Hello,
According to your description, the pole against a wall of height 7ft and the distance between the base of the pole to the wall is 10ft.
See attached document for better illustration.
To solve this problem, we'll have to make use of pythagorean theorem
According to pythagorean theorem,
X² = y² + z²
X = ?
Y = 10ft
Z = 7ft
X² = 10² + 7²
X² = 100 + 49
X² = 149
X = √(149)
X = 12.2ft
The length of the pole is 12.2 ft
Unfortunately, the length of the pole does not corresponds with any of the answers above, but this is actually the right answer.
Good luck
Tyron made 60 cakes. He gave 1/6 of the 60 cakes to Lilly. What fraction of the cakes does he have left?
Answer:
38/60 or 19/30
Step-by-step explanation:
The question isn't fully attached as stated by the person who submitted it.
The fraction of the cakes he has left is ( 5 / 6 ). The remaining number of cakes is 50.
What is a fraction?Expression in maths is defined as the collection of numbers, variables, and functions using signs like addition, subtraction, multiplication and division.
The fraction is calculated as:-
The remaining fraction = 1 - ( 1 / 6 )
= ( 6 - 1 ) / 6
= 5 / 6
The remaining number of cakes,
Remaining number = 60 x ( 5 / 6 )
Remaining number = 50
Hence, the remaining number of cakes is 50.
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One night, it is 24 ℃ warmer in Tucson than it was in Minneapolis. If the temperatures in Tucson and Minneapolis are opposites, what is the temperature in Tucson?
Answer:
The temperature in Tucson is [tex]12\,^{\circ}C[/tex].
Step-by-step explanation:
Let be [tex]T[/tex] and [tex]-T[/tex] the temperatures registered in Tucson and Minneapolis, respectively. The difference between both temperatures is:
[tex]T - (-T) = 24\,^{\circ}C[/tex]
[tex]2\cdot T = 24\,^{\circ}C[/tex]
[tex]T = 12\,^{\circ}C[/tex]
The temperature in Tucson is [tex]12\,^{\circ}C[/tex].
Answer:
The temperature in Tucson is 12°C, and that of Minneapolis is -12°C.
Step-by-step explanation:
Let the temperature in Tucson = T
And the temperature in Minneapolis = -T. Because the temperatures are opposites.
Since we know that it is 24°C warmer in Tucson that it was in Minneapolis, then
T - (-T) = 24
T + T = 24
2T = 24
T = 24/2
= 12
Therefore, the temperature in Tucson is 12°C, and that of Minneapolis is -12°C.
2. Find the value of V343 X V27
Answer:
De value of v is 12
Step-by-step explanation:
v343×v27
343×27÷27
=12red 7
Solve for h.
–10 − 8h − 14h = –15h + 18
h =
Answer:
[tex] \boxed{h = -4} [/tex]
Step-by-step explanation:
[tex] = > - 10 - 8h - 14h = - 15h + 18 \\ \\ = > - 10 - 22h = - 15h + 18 \\ \\ = > - 22h + 15h - 10 = 18 \\ \\ = > - 7h - 10 = 18 \\ \\ = > - 7h = 18 + 10 \\ \\ = > - 7h = 28 \\ \\ = > 7h = - 28 \\ \\ = > h = - \frac{28}{7} \\ \\ = > h = -4[/tex]
Marcus deposited his paycheck in the amount of $625.84. He’ll use the check register to record his transaction. What will be his new balance? A check register has a balance of 640 dollars and 31 cents.
Answer:
His new balance will be $1,266.15
Step-by-step explanation:
The cost of 4 bear toys and a lion toy is $70. If the cost of a lion toy and 2 bear toys is
$41, what is the cost of a lion toy?
$36
$28
$14.50
$12
Answer:
14.50 because you need to divide the total amount by 2 and then you have the remaining
The cost of a lion toy is $12
What is a linear equation?An equation between two variables with a constant in the form of ax +by =c is called a linear equation.
Given the cost of 4 bear toys and a lion toy is $70.
And If the cost of a lion toy and 2 bear toys is $41,
Write a linear equation for the above equation
4B +1L =70
2B +1L =41
By solving the above equations we get B= $14.5 and L=12
Thus the cost of a bear is $14.5 and cost of a lion is $12.
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Mr. Nicholas invested $4,250 into an account that pays 3.5% interest, compounded annually. How much will Mr. Nicholas’s investment be worth after 8 years?
Answer:
$5596.44
Step-by-step explanation:
$4250*(1.035)^8= $5596.44
What’s c ? And I need explanation plz
Answer:
a
Step-by-step explanation:
the probablity of getting head when flipping a coin that hasn't been altered is 50/50, therefor it's a :) hope it helped
Answer:
A
Step-by-step explanation:
The probability scale shows how likely or unlikely something is going to happen. So when flipping an unbiased (fair) coin, the probability of getting a head is exactly 50%. Thus, A means "half" on the probability scale so A is the correct answer.
please answer thanks
i have 4 more questions after this
Answer:
Step-by-step explanation:
[tex]V= ?\\r = 2\\h = 5\\\pi = 3.14\\\\V = \frac{1}{3} \pi*r^{2} *h\\\\V = \frac{1}{3} *3.14*2^{2} *5\\\\V= \frac{1}{3} *12.56*5\\\\V= \frac{1}{3}* 62.8\\\\V = 20.93333333\\\\\\V = 20.93[/tex]
In terms of pi
[tex]V= ?\\r = 2\\h = 5\\V = \frac{1}{3} \pi*r^{2} *h\\\\V= \frac{1}{3} *\pi*2^{2} *5\\\\V = \frac{1}{3} \pi*20\\V= 6.67\pi\\[/tex]
evaluate 3×-14, when ×=5
Answer:
1
Step-by-step explanation:
Plug in the x value.
3(5)-14
3(5)=15
So then you do 15-14
Which equals to 1
Hope this helps! Plz mark brainliest!!
Answer:
1
Step-by-step explanation:
1. 3(5)-14 first substitute
2. 15-14
3. 1
What is the answer of the Fractions listed? Will give Brainliest 20 points
Answer:
- 6 1/2
Step-by-step explanation:
-4 - 2 1/2
Since the signs are the same, we add them together and take the signs
4+2 1/2 = 6 1/2
Take the sign
- 6 1/2
Answer:
(-4) - 2 1/2 = -6.5
Step-by-step explanation:
( −4 ) − 2 1/2 = -13/2
-13/2 = -6 1/2
David leaves the house to go to school. He walks 200 meters west and
125 meters north. How far away is he from his starting point (the diagonal)?