Formula : V = πr²h/3
Fill in the values.
(3.14)(4)^(2)(6/3)
V=100.48 yd^3
Find the axis of symmetry and the vertex of the graph of the function.
g(x) = 2x^2+12x+4
so hmmm from the equation we can see that is in "x terms" so the independent variable is "x", that tells us the parabola is a vertical one, leading term's coefficient is "2", that means it opens upwards like a bowl.
on a vertical parabola the axis of symmetry is the x-coordinate of its vertex, let's find the vertex of this one.
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{2}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{+4} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{ 12}{2(2)}~~~~ ,~~~~ 4-\cfrac{ (12)^2}{4(2)}\right)\implies \left( -3~~,~~4-\cfrac{144}{8} \right) \\\\\\ (-3~~,~~4-18)\implies (\stackrel{x}{-3}~~,~~-14)~\hfill \stackrel{\textit{axis of symmetry}}{x=-3}[/tex]
What is the SECOND STEP to solve this equation?
3x+2=17
Question 6 options:
Add 2 to both sides
Subtract 2 from both sides
Multiply both sides by 3
Divide both sides by 3
Answer:
Step-by-step explanation:
subtract 2 from both sides
Answer:
divide both sides by 3
Step-by-step explanation:
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The ladder makes an angle of 77^{\circ} ∘ with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
Now
[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{22}{H}=sin77[/tex]
[tex]\\ \rm\Rrightarrow H=22/sin77[/tex]
[tex]\\ \rm\Rrightarrow H=22.59ft\approx 23ft[/tex]
The length of the extension ladder that is against the outside wall of the house is 22.58 feet.
What is the length of the ladder?When the ladder lies against a house, a right triangle is formed. The length of the ladder is the hypotenuse. The distance from the base of the ladder to the house is the base. The lenfth off the house is the length.
To find the length of the ladder, Sin would be used:
Sin = opposite / hypotenuse
Sin 77 = 22 / h
h = 22 / 0.9743 = 22.58 feet
To learn more about trigonometry, please check: https://brainly.com/question/22782564
#SPJ2
The regular price of a baseball bat is $38.20. The baseball bat is on sale for %20 off the regular price. Josef has a coupon for an additional 10% off the sale price. What is the final price of the baseball bat?
Answer:
$27.5
Step-by-step explanation:
Other solution
38.2 X 0.8 = 30.56 (20% off)
30.56 X 0.9 = 27.504 (Another 10% off)
pls helppppppppppppp
So I will be giving you the formula
[tex]a^{2} +b^{2} =c^{2}[/tex]
This [tex]c^{2}[/tex] is the hypothenuse which is opposite to 90 degrees
ill start from B
so [tex]a^{2}[/tex] and [tex]b^{2}[/tex] can be any side except the side opposite to 90 degrees it shouldn't change.
Answer for B with steps:
=> [tex]11^{2} +13^{2} =c^{2}[/tex]
=>simplify [tex]290=c^{2}[/tex]
=> get square root using your calculator [tex]\sqrt{290} =\sqrt{c^{2}[/tex]
=>the answer to B is 17.0 which is just 17
Answer for C
=>[tex]7^{2} +x^{2} =12^{2}[/tex]
=>[tex]49+x^{2} = 144[/tex]
=> subtract 49 on both sides 95 so its [tex]x^{2} = 95[/tex]
=> take square root [tex]\sqrt{x} ^{2} = \sqrt{95}[/tex]
=> Its 9.7
For the rest of the hard questions you have to know whats width is and height and the properties of rectangles they are very easy
As long as you understand the concept-
follow the steps I provided.
A consumer charges a $2,530.16 purchase on a credit card. the card has a daily interest rate of 0.042%. if the balance is paid off at the end of 30 days, how much interest will the consumer pay? a. $0.32 b. $3.19 c. $31.88 d. $318.78 please select the best answer from the choices provided a b c d
The consumer will pay $31.91 as an interest.
Initial balance = $2,530.16
Daily interest rate = 0.042%
What is simple interest?Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments
So, balance at the end of the first day = 2530*(1.00042)¹
balance at the end of the second day = 2530*(1.00042)²
Similarly, balance at the end of the 30th day = 2530*(1.00042)³⁰
Balance at the end of the 30th day = $2562.07291
So, interest levied = $2562.07291 - $2,530.16
Interest levied = $31.91
Therefore, the consumer will pay $31.91 as an interest.
To get more about simple interests visit:
https://brainly.com/question/2294792
Find the 63rd term of the arithmetic sequence -1, 5, 11, •
Answer:
The 63rd Term Is 309
Step-by-step explanation:
Please help me it’s due today
Answer:
Northside
Median: 36
Range: 32
IQR: 17
Southside:
Median: 39
Range: 38
IQR: 22
Step-by-step explanation:
Northside first
Order the ages from least to greatest
24, 28, 32, 32, 32, 36, 41, 44, 49, 49, 56
Median is 36 since it's in the middle
Subtract the greatest number from the smallest number to find the range (56-24) = 32
To find the IQR you need the ages least to greatest
24, 28, 32, 32, 32, 36, 41, 44, 49, 49, 56
Find the lower quarter = 32
Find the upper quarter = 49
Subtract 49 and 32 (49-32) = 17
Southside
The Median is the line at the middle of the box, in this case its between 38 and 40 which is 39.
The range is 61 - 23 = 38 (Greatest - least)
The IQR is 52 - 30 = 22
Hope this helps!
Three friends make lemonade with different recipes. The table shows the ratio of lemon juice to the total amount of lemonade. Which friend makes lemonade with the strongest lemon flavor?
Answer:sorry i don't know this
Step-by-step explanation:
Help, what is the area of this figure? (Don’t write a big explanation!!, i really need this quick, a picture or just numbers u used is fine)
Answer:
146 m²
Area of triangle:
1/2 * base * height1/2 * 16 * 756 m²Area of upper rectangle:
Length * Width8 * 972 m²Area of bottom rectangle:
Length * Width6 * 318 m²Total area:
18 m² + 72 m² + 56 m²146 m²Answer:
146 m²
Step-by-step explanation:
Divide the figure into a triangle and 2 rectangles (see attached diagram)
Formulae
Area of a triangle = 1/2 x base x heightArea of a rectangle = width x lengthTriangle 1
⇒ area = 1/2 x 16 x (6 + 9 - 4 - 4)
= 1/2 x 16 x 7
= 56 m²
Rectangle 2
⇒ area = 3 x (6 + 9)
= 3 x 15
= 45 m²
Rectangle 3
⇒ area = 5 x 9
= 45 m²
Total area
⇒ Total area = triangle 1 + rectangle 2 + rectangle 3
= 56 + 45 + 45
= 146 m²
log(3y+2)-1=log(y-4) solve y
[tex]\log_{10} (3y+2) - 1 = \log_{10}(y-4)\\\\\implies \log_{10} (3y+2) - \log_{10} 10 = \log_{10} (y-4)\\\\\implies \log_{10} \left( \dfrac{3y+2}{10} \right) = \log_{10} (y-4)\\\\\implies \dfrac{3y+2}{10} = y-4\\\\\implies 3y+2 = 10y-40\\\\\implies 10y-3y = 40+2\\\\\implies 7y = 42\\\\\implies y = \dfrac{42}7\\\\\implies y = 6[/tex]
Write the equation of the circle with the given information: Center: (3,-3) Radius: 2sqrt{6}
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{3}{ h},\stackrel{-3}{ k})\qquad \qquad radius=\stackrel{2\sqrt{6}}{ r} \\\\[-0.35em] ~\dotfill\\\\\ [x-3]^2~~ + ~~[y-(-3)]^2~~ = ~~(2\sqrt{6})^2\implies (x-3)^2+(y+3)^2=24[/tex]
Find the volume of the figure below.
Answer:
C) 2808
Step-by-step explanation:
Volume of Triangular Prism = 1/2 x height x length x base
= 1/2 * 9 * 24 * 26
= 2808 mm^3
I hope my answer helps you.
Complete the table for f(x) = x2 + 2x - 3.
x -3 -2 -1 0 1
y=?
Answer:
x | -3 -2 -1 0 1
y | 0 -3 -4 -3 0
Step-by-step explanation:
f(x) = x² + 2x - 3
x = -3 then y = (-3)² + 2(-3) - 3 = 9 - 6 - 3 = 3 - 3 = 0
x = -2 then y = (-2)² + 2(-2) - 2 = 4 - 4 - 3 = 0 - 3 = -3
x = -1 then y = (-1)² + 2(-1) - 1 = 1 - 2 - 3 = -1 - 3 = -4
x = 0 then y = (0)² + 2(0) - 3 = 0 + 0 - 3 = 0 - 3 = -3
x = 1 then y = (1)² + 2(1) - 3 = 1 + 2 - 3 = 3 - 3 = 0
What is the system of linear equations for the following graph? Please just list the two equations
The equation of the blue line is y = 7x - 8 and the equation of the red line is y = -2x + 2
How to write a linear equationEquations are written as a function of two or more variables with input and output.
The standard linear equation is given in the form y = mx + b
m is the slope
b is the y-intercept
For the red line, the y-intecept is 2
Using the coordinate point on the red line (0,2) and (1, 0)
Slope = -2/1
Slope = -2
Equation of the red line is y = -2x + 2
For the blue line, we will use the coordinate points (2, 6) and (1, -1)
m = -7/-1
m = 7
-1 = 7(1) + b
-1 - 7 = b
b = -8
Hence the equation of the blue line is y = 7x - 8
Learn more on equation of aline here: https://brainly.com/question/13763238
(Look at screenshot)
7. The graph represents the height of a passenger car on a ferris wheel, in feet, as a
function of time, in seconds.
Use the graph to help you:
a. Find H(0).
b. Does H(t)=0 have a solution? Explain how you know.
c. Describe the domain of the function.
d. Describe the range of the function.
#a
H(0)
It refers to y value on graph when x is 0
So here it refers to y intercept
y intercept (0,5)Hence
H(0)=5#b
Observe the graph
y intercept is not 0 so it's not true
#3
Domain is set of x values in graph
[0,oo)#4
Range is set of y values on graph
[5,50]If x is located at -2 and y is located at -5, find Z such that XY is divided into a 2:1 ratio
Answer:
z = -4
Step-by-step explanation:
Given :
x = -2y = -5z divides xy in the ratio 2 : 1 (m : n)Solving :
Take the section formulaz = [my + nx] / [m + n]z = [2 x -5 + 1 x -2] / [2 + 1]z = -10 - 2 / 3z = -12 / 3z = -4Generalize How do the graphs of the solutions of inequalities involving greater than (>) and greater than or equal to (2) compare?
A right triangle. the legs are labeled x(a) and 6(b), and the hypotenuse is labeled √117(c)
what is the value of x? explain your answer
please help!! will give 20 points!!!!!!!
Answer: 9
Step-by-step explanation:
The volume of a sphere is 2,000π m3. What is the surface area of the sphere to the nearest square meter?
Answer:
Volume of a sphere = 4/3 πr³
4/3 * 3.14 * r³ = 4000
4.19 * r³ = 4000
r³ = 4000 / 4.19
r = ∛1058
r = 10.19
Now, surface area = 4πr² = 4 * 3.14 * (10.19)²
S.A. = 12.56 * 104
S.A. = 1307
In short, Your Answer would be Option D) 1307 m²
Hope this helps!
Step-by-step explanation:
Suppose ABCD is a parallelogram. If AB = 9x + 2, CD = 12x - 4, BC = x + 7, determine the length of AD.
Need help asap
======================================================
Explanation:
For any parallelogram, the opposite sides are parallel and are the same length.
AB = CD
9x+2 = 12x-4
2+4 = 12x-9x
6 = 3x
x = 6/3
x = 2
Which leads to
AB = 9x+2 = 9(2)+2 = 20CD = 12x-4 = 12(2)-4 = 20BC = x+7 = 2+7 = 9Side AD is opposite BC, so AD = BC = 9
I need this answered please I’m in a rush
Answer:
-8, -2, 4, 10
Step-by-step explanation:
Plug the x value into the function.
2(-6)+4 = -8
and so on for all of the values in the table.
Answer:
y = 2(-6) + 4
y = -12 + 4
y = -8
y = 2(-3) + 4
y = -9 + 4
y = -5
y = 2(0) + 4
y = 0 + 4
y = 4
y = 2(3) + 4
y = 6 + 4
y = 10
Have an amazing day!!
Please rate and mark brainliest!!
a sphere has a volume of 2304pi mm^. find the diameter of the sphere
Answer:
My answer is The diameter is 24
The figure below is a net for a triangular pyramid. If all the triangles are equilateral, what is the surface area of the pyramid, in square meters?
draw a quadrilateral that has one angle measure of 20 degrees and exactly one side length of four units
Answer:
You can draw a trapezoid
i hope this helps if you know how to draw the trapezoid you can search on website
What is the Pythagorean
Theorem and what’s it used for?
The Pythagorean Theorem is used to solve for the hypotenuse of a right triangle.
The formula for solving it is [tex]a^2 + b^2 = c^2[/tex], as a represents one side of the triangle, and b represents the other side. C is the hypotenuse as which we are trying to solve for.
Use the graph below to answer the following question.
Answer:
2001-2003
Step-by-step explanation:
This because the trend is almost the same in these yrs
(GIVING BRAINLIEST)
(Forming and solving simultaneous equations)
Pierre has more money than Alex.
If Pierre gave Alex £20, they would have the same amount.
If Alex gave Pierre £22, then Pierre would have twice as much as Alex.
How much does each one actually have?
Answer:
Pierre has £ 146 and
Alex has £ 106
Step-by-step explanation:
Let the money with Pierre be = p
Let the money with Alex = a
If Pierre gave Alex £20, they would have the same amount.
So, we should subtract £ 20 from p and add £ 20 to a
p - 20 = a + 20
p = a + 20 + 20
p = a + 40 ----------------(I)
If Alex gave Pierre £22, then Pierre would have twice as much as Alex.
p + 22 = 2*(a -22)
p + 22 = 2a - 44
p = 2a - 44 - 22
p = 2a - 66
p -2a = - 66 -----------------(II)
Substitute p = a + 40 in equation (II)
a + 40 - 2a = -66
a - 2a + 40 = -66
-a = - 66 - 40
-a = - 106
Multiply both sides by (-1)
[tex]\boxed{a = \£ \ 106}[/tex]
Substitute a = 106 in equation (I)
p = 106 + 40
[tex]\boxed{p = \£ 146}[/tex]
The deck off the back of the house creates a right triangle. The side of the deck resting against the house is the hypotenuse of the triangle. You decide to put new stain on the wood. One edge of the deck measures 15 feet and the other edge of the deck measures 20 feet. Answer the follow- ing questions: 1. What is the area of the deck? 2. Each gallon of stain covers a maximum of 350 square feet. How many do you need? 3. If each gallon costs $36.98, what will the project cost you?
Approximately 2 gallons will be needed if each gallon of stain and the project will cost be $73.96 if each gallon costs $36.98
How to find the area of a triangleThe formula for calculating the area of a triangle is expressed as:
A = 0.5bh
where
base = 15feet
height = 20feet
Area of the deck = 20 * 15 * 0.5
Area of the deck is 150 square feet
Number of gallons needed = 350/150 = 2.3
Hence approximately 2 gallons will be needed if each gallon of stain covers a maximum of 350 square feet.
Cost of the two gallons = 36.98 * 2
Cost of the two gallons = $73.96
Hence the project will cost be $73.96 if each gallon costs $36.98
Learn more on area of a triangle here: https://brainly.com/question/23945265
Help please! I keep going down on ixl and I’ve been trying to do this ixl since yesterday so ima post a lot of these.
u can add lines to split the figure into a triangle and two rectangles.
Area of the figure
= (12x15)/2 + 6x4 + 2x5
=124 yd^2
