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Which of the following equations is equivalent to the formula for velocity
A Ferris wheel at an amusement park is modeled by (x – 100)2 + (y – 75)2 = 4,900, where the measurements are in feet. A slingshot attraction is modeled by y = –3x2 + 48x – 30. Which attraction reaches a greater height, and what does it represent in terms of the context?
The attraction that reaches a greater height and what it represent in terms of the context is:
The slingshot reaches a greater height at 162 ft, which is the vertex of the parabola.The Ferris wheel reaches a greater height at 145 ft, which is the highest point on the circle.HeightFerris wheel
(x – 100)2 + (y – 75)2 = 4,900
y max= 75+70
y max=145 ft
Sling shot
y = –3x² + 48x – 30
dy/dx=-6+48=0
x=48/6
x=8
Hence:
y max = –3(8)² + 48(8) – 30
y max = –3×64+48(8)-30
y max = –192+384-30
y max =162 ft
Therefore slingshot reaches a greater height at 162 ft and Ferris wheel reaches a greater height at 145 ft.
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Given that the slope is 4 and (4, 6) is on the line. Write the equation of the line
in the slope-intercept
form
Answer:
y= 4x - 10
Step-by-step explanation:
y-6 = 4(x - 4)
y - 6 = 4x -16
+6. +6
y= 4x - 10
Simplify cube root of 5 over fourth root of 5 . (5 points) 5 to the power of 1 over 4 5 to the power of 1 over 12 5 to the power of 7 over 12 5 to the power of 4 over 3
Answer:
[tex] {5}^{ \frac{1}{12} } = \sqrt[12]{5} [/tex]
Step-by-step explanation:
[tex] \frac{ \sqrt[3]{5} }{ \sqrt[4]{5} } = {5}^{ \frac{1}{3} } \div {5}^{ \frac{1}{4} } = {5}^{ \frac{4}{12} } \div {5}^{ \frac{3}{12} } = {5}^{ \frac{1}{12} } = \sqrt[12]{5} [/tex]
THIS IS THE ANSWER: 5 to the power of one-twelfth (Take a look at the image if this does not make sense) :))
:))
:))) HAPPY SLAPPY!!!!
:))))
"UPDATE" : This was correct on my test. Also I realized to see the image in this answer keep your cursor on the side of your screen, not on the image :D
No Question, this account was set up in error.
Answer:
is the question no questions question ❓
(h+k)(1) is
(k-h)(4) is
(k/h)(3) is
(h•k)(0) is
(k •h)(0) is
(h•k)(3) is
h(k(-2))
Answer:
Step-by-step explanation:
(h+k)(1)=h(1)+k(1)=2+(-1)=2-1=1
(k-h)(4)=k(4)-h(4)=0-(-1)=1
(k/h)(3)[tex]=\frac{k(3)}{h(3)} =\frac{-1}{0} =- \infty[/tex]
(h.k)(0)=h(0).k(0)=3(-2)=-6
(k.h)(0)=k(0).h(0)=-2(3)=-6
(h.k)(3)=h(3).k(3)=0(-1)=0
h(k(-2))=h(-3)=0
three-quarters of a pile of bricks were used for a certain project. when two thirds of the reminder had been used, 50 bricks were left. how many bricks were there in the original pile?
Answer:
sorry I don't know the answer
has a bag containing twenty balls. There are twice as many yellow balls than blue balls, but the yellow balls are only a third of the red balls. The green balls are the same number as the blue balls. How many are each of the colour ball?
Answer:
Yellow: 4
blue: 2
red: 12
green: 2
Can y’all help me with ! I need correct anwsers ! Please
Answer:
Im pretty sure its B, 1.75. Not exactly sure though
Step-by-step explanation:
NEED HELP PLEASE!! Don’t know how to do this
By working with percentages we will see that the down payment is of $11,010 and the first monthly payment is of $275.25
How to work with percentages?
First, the total cost is $110,100.
And we know that you initially pay the 10% of that, so the amount that you pay initially is:
P = 0.10* $110,100 = $11,010
So the down payment is of $11,010
The rest is financed over 30 years, so the rest is:
$110,100 - $11,010 = $99,090
Dividing by the number of months:
N = ( $99,090)/(30*12) = $275.25
And there is an interest of the 9%, then the amount that you pay on month x is given by:
[tex]P(x) = $275.25*(1.09)^{x-1}[/tex]
Currently (on the first month, so x = 1)
Your pay will be of $275.25
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Find equation in slope intercept form of the line passing through the points with given coordinates (-3,-4), (0,-3)
Answer:
Step-by-step explanation:
→ Find the gradient
( -3 --4 ) ÷ ( 0 --3) = 1/3
→ Write into format
y = 1/3x + c
→ Substitute in a coordinate pair
-3 = 0 + c
→ Solve for c
c = -3
→ Write into format
y = 1/3x - 3
How Do You Answer This Question
Samantha is 9 years younger than her brother Maurice. In 10
years, Maurice will be 1.5 times older than his sister. Find their
present ages.
Step-by-step explanation:
hope you can understand
Answer:
Samantha is 8 years and Maurice is 17 years
Step-by-step explanation:
First represent Samantha's brother's age with a variable, x.
Secondly, find Samantha's age. since shes 9 years younger, then it will be her brother's age which is x minus 9
Thirdly, in ten years, they will all age hence 10 will be added to all their ages.
Fourthly, once 10 has been added to their after 10 years, rhen we realise Maurice age will be 1.5 timess Samantha's age... Then you solve the resulting equation.
What is the solution of the following system?
Use the substitution method.
{3x+2y=11x−2=−4y
A.) The only solution is (12, - 5/2)
B.) The only solution is (4, - 1/2)
C.) There is no solution
D.) There are an infinite number of solutions
Answer:
B.) The only solution is (4, - 1/2)
Step-by-step explanation:
To solve this system of equations using the substitution method, we need to use one equation to find an expression for one of the terms or variables that can be substituted for that term or variable in the other equation.
__
expression for xHere, it is convenient to use the second equation to write an expression for x:
x -2 = -4y
x = 2 -4y . . . . add 2 to both sides
substituteUsing this expression for x, we can write the second equation as ...
3x +2y = 11
3(2 -4y) +2y = 11 . . . . . substitute for x
6 -10y = 11 . . . . . . . . eliminate parenthses
solveThis 2-step equation can be solved in the usual way:
-10y = 5 . . . . . . . subtract the constant to isolate the variable term
y = -5/10 = -1/2 . . . . . divide by the coefficient of the variable
x = 2 -4(-1/2) = 2 +2 = 4 . . . . . find the corresponding x-value
The only solution is (x, y) = (4, -1/2).
The only solution is (x, y) = (4, -1/2). so, the correct option is B.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
we have the system of equations;
3x+2y=11
x−2=−4y
By the substitution method;
use the second equation to write an expression for x:
x -2 = -4y
x = 2 -4y
substitute
3x +2y = 11
3(2 -4y) +2y = 11
6 -10y = 11
solve
-10y = 5
y = -5/10 = -1/2
x = 2 -4(-1/2)
x = 2 +2 = 4
Thus, The only solution is (x, y) = (4, -1/2). so, the correct option is B.
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63, 58, 57, 71, 54, 60 Calculate the coefficient of variation for the following data
Answer:
The coefficient of variation (CV)= 9.83
Step-by-step explanation:
look at the attachment above ☝️
Please answer all the questions txxxx
Which expression is modeled by this arrangement of tiles?
40 positive tiles are broken up into 10 groups of 4 positive tiles.
40 divided by (negative 10)
40 divided by 10
40 divided by 40
40 divided by 40
Answer:
40 divided by 10
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which equation gives the measure of the central angle, q? 08- 5 O 0-7+5 O e-7-5
The equation gives the measure of the central angle 7/5 times 3 60/2 π.
What is Central angle?An angle with its vertex at the center of a circle and with sides that are radii of the circle.
radius= 5 feet.
Circumference of circle,
= 2πr
=2*3.14*5
= 31.4 feet.
Arc length = 7.
Then, the part of circle 7 feet arc have
=7/31.4
=0.2229
Also, 0.2229 * 360 = 80.244°
In radian,
80.244° = 1.4 radians
Hence, 7/5 times 360/2 π.
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Which line is perpendicular to a line that has a slope of -5/6?
Answer:
Line LM
Step-by-step explanation:
First, we need to know what the slope is of a line that would be perpendicular to a line with a slope of -5/6. To find this, we take the reciprocal and multiply it by -1. Therefore, the line we are looking for needs to have a slope of 6/5.
Based on the fact that the slope is positive, we can eliminate lines PQ and JK as they have a negative slope. This leaves us with lines LM and NO.
To find out whether or not it is between LM and NO, you could eyeball it by looking at the graph and simply counting which might be faster if you understand how to do that (rise/run), or you can use the pair of coordinates given to you on each line to calculate for slope.
Line LM - [tex]\frac{-3-3}{-5-0}=\frac{-6}{-5}=\frac{6}{5}[/tex]
Line NO - [tex]\frac{-5-0}{-6-0}=\frac{-5}{-6}=\frac{5}{6}[/tex]
Based on this, we know that line LM is perpendicular to a line that has a slope of -5/6.
If you need help on calculating slope from two points, I'd suggest watching this video: https://www.brightstorm.com/math/algebra/linear-equations-and-their-graphs/finding-the-slope-of-a-line-from-2-points-problem-1/#:~:text=Use%20the%20slope%20formula%20to,second%20points%20are%20x2%2C%20y2.
Please answer this for me
Step-by-step explanation:
all the details see in the attachment.
Simplify each expression.
10x³y²
5x³y
x = 0, y = 0
Step-by-step explanation:
Very easy the value are given apply the value for X and y
Considering only the values of β for which sinβtanβsecβcotβ is defined, which of the following expressions is equivalent to sinβtanβsecβcotβ?
Select the correct answer below:
secβcotβ
tanβ
cotβtanβ
tanβcscβsecβ
Answer:
[tex]\tan(\beta)[/tex]
Step-by-step explanation:
For many of these identities, it is helpful to convert everything to sine and cosine, see what cancels, and then work to build out to something. If you have options that you're building toward, aim toward one of them.
[tex]{\tan(\theta)}={\dfrac{\sin(\theta)}{\cos(\theta)}[/tex] and [tex]{\sec(\theta)}={\dfrac{1}{\cos(\theta)}[/tex]
Recall the following reciprocal identity:
[tex]\cot(\theta)=\dfrac{1}{\tan(\theta)}=\dfrac{1}{ \left ( \dfrac{\sin(\theta)}{\cos(\theta)} \right )} =\dfrac{\cos(\theta)}{\sin(\theta)}[/tex]
So, the original expression can be written in terms of only sines and cosines:
[tex]\sin(\beta)\tan(\beta)\sec(\beta)\cot(\beta)[/tex]
[tex]\sin(\beta) * \dfrac{\sin(\beta) }{\cos(\beta) } * \dfrac{1 }{\cos(\beta) } * \dfrac{\cos(\beta) } {\sin(\beta) }[/tex]
[tex]\sin(\beta) * \dfrac{\sin(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}}{\cos(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}} * \dfrac{1 }{\cos(\beta) } * \dfrac{\cos(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}} {\sin(\beta) \!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!{---}}[/tex]
[tex]\sin(\beta) *\dfrac{1 }{\cos(\beta) }[/tex]
[tex]\dfrac{\sin(\beta)}{\cos(\beta) }[/tex]
Working toward one of the answers provided, this is the tangent function.
The one caveat is that the original expression also was undefined for values of beta that caused the sine function to be zero, whereas this simplified function is only undefined for values of beta where the cosine is equal to zero. However, the questions states that we are only considering values for which the original expression is defined, so, excluding those values of beta, the original expression is equivalent to [tex]\tan(\beta)[/tex].
Six angles of a heptagon have measures of 80°, 90°, 100°, 145°, 165° and 170°. The smallest of all the exterior angles measures ____.
80°
150°
190°
10°
Answer: 10°
Step-by-step explanation:
Since an exterior angle and its corresponding interior angle are supplementary, meaning they have a fixed sum, to minimize the exterior angle, we need to maximize the interior angle.
This means we need to consider the 170° interior angle, so the corresponding exterior angle is 10°.
line / is parallel to line m. the slope of line / is 4/9. what is the slope of line m?
Answer: 4/9
Step-by-step explanation:
Parallel lines have equivalent slopes.
As line 'l' and line 'm' are parallel to each other ,then the slope of line 'm' is also 4/9.
Parallel lines have the same slope. The slope of line segments is identical because they are all similarly inclined with respect to the positive x-axis. If 'l', and 'm' are the slopes of two parallel lines,
then l = m
Slope-intercept notation for lines may be expressed as y=mx+b.
In this notation, b denotes the location of the line's y-axis intercept, and slope(m) indicates the slope of the line.
The slope of 'l'=4/9
The slope of the two parallel lines is the same.
Therefore, the slope of the parallel line "m" = 4/9.
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5.7y-5.2=y/2.5 how to solve
5.7y-5.2=y/2.5
Add 5.2 to both sides:
5.7y = y/2.5 + 5.2
y/2.5 = 0.4y
5.7y = 0.4y + 5.2
Subtract 0.4y from both sides:
5.3y = 5.2
Divide both sides by 5.3:
y = 5.2/5.3
y = 0.98113
Answer:
y = 0.981
Step-by-step explanation:
Given expression:
5.7y-5.2=y/2.5Solution:
5.7y-5.2=0.4ySubtract 0.4y from both sides:
5.7y-5.2-0.4y=0.4y-0.4y5.3y - 5.2 = 0Add 5.2 to both sides:
5.3y-5.2+5.2 = 0+5.25.3y = 5.2Divide both sides by 5.3:
[tex] \cfrac{5.3y}{5.3} = \cfrac{5.2}{5.3} [/tex][tex]y = 0.981[/tex]Hence, y = 0.981.
If anyone can help me to solve this.
Answer:
[tex]\large \boxed{ \tt{y = - 2x + 5}}[/tex]
Step-by-step explanation:
From the y-intercept og [tex][0,5][/tex], travel five unit south over two unit east. Doing so will get yoy to the endpoint of [tex][1,3][/tex], which tells you that the rate of change is [tex] - 2[/tex], Therefore, your equation, in Solpe Intercept Form , is [tex]y = - 2x + 5[/tex]
[tex] \\ [/tex]
#CarryOnLearning
[tex] \huge\mathbb{ \underline{SOLUTION :}}[/tex]
[tex]\leadsto[/tex] Using the slope-intercept form:
▪ [tex] \bold{y = mx + b}[/tex]
▪ [tex] \bold{y = mx + 5}[/tex]
Finally, we are going to use any point of the line. In this case, I am going to take the point (2, 1). Substituting,
[tex] \sf \longrightarrow{1 =m*2+5}[/tex]
[tex] \sf \longrightarrow{1 - 5 = 2m}[/tex]
[tex] \sf \longrightarrow{ m= - \dfrac{4}{2} = - 4 }[/tex]
[tex]\huge \mathbb{ \underline{ANSWER:}}[/tex]
The equation of the line is:[tex]\large\boxed{\sf y = 2x + 5}[/tex] ✓
vertical angles must : check all that apply
A. be complementary
B. have the same vertex
C. be congruent
D. be acute
Answer: B and C
Step-by-step explanation: For A, vertical angles can be complimentary or supplementary. For D, vertical angles can sometimes be acute but not always.
I need help in this problem
Step-by-step explanation:
this is first an arithmetic sequence with the first term A1=3(1)+1=4 And the 12th term A12=3(12)+1=37. Then use this formula
S12=12/2 ×(4+37)
=6×41
=246
write an exponential expression that shows (10 to the power of 4) to the power of 4 simplified
Answer: it could be
[tex](10^{4} ) ^{4}[/tex]
Step-by-step explanation:
15. Desde la punta de un edificio el hombre araña lanza una tela a 500 metros, de la base del edificio
con un ángulo de depresión de 60°, ¿Qué altura (h) tiene el edificio?
ayudaaaa
Step-by-step explanation:
the correct answer will be 93
