Answer:
nmb
Step-by-step explanation:
Question 4 of 10
Which of the following formulas would find the lateral area of a right cylinder
with height equal to hand r as the radius?
A. LA = 2012 + 2q rh
B. LA = 20
C. LA = 2 r rh
D. LA = 27.12
SUBMIT
Answer:
LA = 2πrh
Step-by-step explanation:
The lateral surface area is the area of all the sides of a 3-dimensional object excluding its base and top.
The lateral area of a cylinder is the area of its surfaces excluding the area of its base and top
LA = 2πrh
A golfer hits a golf ball.
The function
d(t) = –2t2 + 7t + 4
most closely represents the height(h) of the golf ball in feet after t seconds. How
long is the golf ball in the air?
Answer:
The golf ball was in the air for 4 seconds.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
In this question:
We have to find the amount of time it takes for the ball to hit the ground. We have that:
[tex]d(t) = -2t^2 + 7t + 4[/tex]
Which is a quadratic equation with [tex]a = -2, b = 7, c = 4[/tex].
How long is the golf ball in the air?
We have to find t for which [tex]d(t) = 0[/tex]
So
[tex]-2t^2 + 7t + 4 = 0[/tex]
[tex]\Delta = b^{2} - 4ac = (7)^2 - 4(-2)(4) = 81[/tex]
[tex]t_{1} = \frac{-7 + \sqrt{81}}{2*(-2)} = -0.5[/tex]
[tex]t_{2} = \frac{-7 - \sqrt{81}}{2*(-2)} = 4[/tex]
Time is a positive measure, so t = 4.
The golf ball was in the air for 4 seconds.
PLEASE HELP ME I HAVE TO PASS THIS TEST
30 POINTS
Answer:
Hi, there the answer is
These are the equations with exactly one solution
-5x + 12 = –12x – 12
-5x + 12 = 5x + 12
-5x + 12 = 5x – 5
Hope This Helps :)
Step-by-step explanation:
First degree equations
A first degree equation has the form
ax + b = 0
There are some special cases where the equation can have one, infinitely many or no solution
If , the equation has exactly one solution
If a=0 and b=0 the equation has infinitely many solutions, because it doesn't matter the value of x, it will always be true that 0=0
If a=0 and the equation has no solution, because it will be equivalent to b=0 and we are saying it's not true. No matter what x is, it's a false statement.
We have been given some equations, we only need to put them in standard form
-5x + 12 = –12x – 12
Rearranging
7x + 24 = 0
It has exactly one solution because a is not zero
.......................
-5x + 12 = 5x + 12
Rearranging
-10x + 0 = 0
It has exactly one solution because a is not zero
.......................
-5x + 12 = 5x – 5
Rearranging
-10x + 17 = 0
It has exactly one solution because a is not zero
.......................
-5x + 12 = -5x – 12
Rearranging
0x + 24 = 0
It has no solution, no matter what the value of x is, it's impossible that 24=0
Answer: These are the equations with exactly one solution
-5x + 12 = –12x – 12
-5x + 12 = 5x + 12
-5x + 12 = 5x – 5
look at pic 10 pts will mark brainilest WILL HELP OUT W 3 QUESTIONS
Answer:
the answer is b because -(-6) becomes 6 and 6 is greater than 3
Answer: B.
Step-by-step explanation: A. 45 is not less than or equal to 18. I got 45 because 2 negatives make a positive and I got 18 because it was in absolute value bars making it positive. B. 6 is greater than -3. I got 6 because it is in an absolute value bar. C. 32 is not less 28. I used the same steps I used on the others. D. 9 is not greater than or equal to 10.
What is the mean of the data?
Answer:
The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.
PLEASE WILL MARK IF YOU HELP!!
Answer:
22°
63°
m<H=22°
m<G=63°
Problem 1
Answer: 79--------------------------
Work Shown:
For any triangle, the three angles always add to 180
For any isosceles triangle, the base angles are congruent. The base angles are opposite the congruent sides. We see that angle O = angle H.
O+H+T = 180
H+H+T = 180
2H+T = 180
2H+22 = 180
2H = 180 - 22
2H = 158
H = 158/2
H = 79
=======================================================
Problem 2
Answer: 54--------------------------
Work Shown:
We'll use the same ideas as problem 1.
In this case, angle O = angle D = 63 since they are the base angles opposite the congruent sides.
D+G+O = 180
63+G+63 = 180
G+126 = 180
G = 180-126
G = 54
Find the surface area of each solid figure
Answer:
First find the SA of the triangular figure
4 x 3 = 12 cm^2 (the triangles on the sides)
2 x 3 = 6 cm^2 (the back square)
2 x 5 = 10 cm^2 (the slanted square)
*I'm not sure if this question includes the bottom of the triangle but here it is anyways
4 x 2 = 8 cm^2
Including the bottom the SA of the triangular figure is:
12 + 6 + 10 + 8 = 36 cm^2
Find the SA of the rectangular shape
4 x 2 = 8 cm^2 (the bottom square)
2 x 6 = 12 x 2 = 24 cm^2 (the sides)
4 x 6 = 24 x 2 = 48 cm^2 (the front and back)
Add them up
8 + 24 + 48 = 80 cm^2
If you wanted to find the SA of the whole figure it would be:
12 + 6 + 10 + 8 + 24 + 48 = 108 cm^2
Hope this helps!
What is the zero of the function represented by this graph?
Use implicit differentiation to find an equation of the tangent line to the curve at the given point. y2(y2 − 4) = x2(x2 − 5) (0, −2) (devil's curve)
Answer:
Step-by-step explanation:
Given that:
[tex]y^2 (y^2-4) = x^2(x^2 -5)[/tex]
at point (0, -2)
[tex]\implies y^4 -4y^2 = x^4 -5x^2[/tex]
Taking the differential from the equation above with respect to x;
[tex]4y^3 \dfrac{dy}{dx}-8y \dfrac{dy}{dx}= 4x^3 -10x[/tex]
Collect like terms
[tex](4y^3 -8y)\dfrac{dy}{dx}= 4x^3 -10x[/tex]
[tex]\dfrac{dy}{dx}= \dfrac{4x^3 -10x}{4y^3-8y}[/tex]
Hence, the slope of the tangent line m can be said to be:
[tex]\dfrac{dy}{dx}= \dfrac{4x^3 -10x}{4y^3-8y}[/tex]
At point (0,-2)
[tex]\dfrac{dy}{dx}= \dfrac{4(0)^3 -10(0)}{4(-2)^3-8-(2)}[/tex]
[tex]\dfrac{dy}{dx}= \dfrac{0 -0}{4(-8)+16}[/tex]
[tex]\dfrac{dy}{dx}= 0[/tex]
m = 0
So, we now have the equation of the tangent line with slope m = 0 moving through the point (x, y) = (0, -2) to be:
(y - y₁ = m(x - x₁))
y + 2 = 0(x - 0)
y + 2 = 0
y = -2
A
2x+5
x² + 5x + 6
x² + 5x+6
B
2x+5
Answer:
what is the question?
Step-by-step explanation:
answer the question
PLEASE HELP! I really need to get this right
Answer:
27.3
Step-by-step explanation:
27.3
Answer:
Plays a musical instrument
Top left
Plays a sport: 0.46
Plays a musical instrument
Top right
Does not Play a sport: 0.54
Does not play a musical instrument
Bottom Left
Plays a sport: 0.73
Does not play a musical instrument
Bottom right
Does not Play a sport: 0.27
Step-by-step explanation:
I hope this helps you! :D
What is the solution to this inequality?
14 + x ≤ 26
Answer:
[tex]14 + x \leqslant 26 \\ x \leqslant 26 - 14 \\ { \tt{x \leqslant 12}}[/tex]
3. Find the value of X (In the picture) (giving points to best answer/brainlest)
Answer:
101 =x
Step-by-step explanation:
The measure of the exterior angle is equal to the sum of the opposite interior angles
143 = 42+x
Subtract 42 from each side
143-42 = 42+x-42
101 =x
Answer:
x = 101 degrees
Step-by-step explanation:
The sum of the external angle and its adjacent is 180 degrees
143 + y = 180
y = 37 degrees
The sum of the inner angles of a triangle is 180 degrees
37 + 42 + x = 180
79 + x = 180
x = 101 degrees
Jai bought a helmet and a pair of skates.
The helmet cost £45.
He sold both items for £224.
Jai made a 120% profit on the cost of the helmet and a 40% profit on the total cost.
What was the percentage profit on the skates?
Give your answer to 1 decimal place.
Answer:
Profit % on skates = 8.7 %
Step-by-step explanation:
Step 1 : Find cost price of skates
Cost price of helmet = £45
Let cost price of skate be = x
Selling price = £224
Cost price = (x + 45)
Total profit % = 40%
[tex]Profit \% = \frac{Selling \ price - cost \ price }{Cost \ price} \times 100[/tex]
[tex]\frac{40}{100} = \frac{224 - (x + 45)}{(x + 45)}\\\\40(x+ 45) = 100(224 - (x +45))\\\\40(x + 45) = 22400 - 100(x + 45)\\\\40(x +45) + 100(x+ 45) = 22400\\\\140(x + 25) = 22400\\\\x + 45 = \frac{22400}{140}\\\\x = 160 - 45 = \£ \ 115[/tex]
Total cost price = 45 + 115 = £160
Step 2 : Selling price of Helmet
Cost price of Helmet = £45
Let selling price of helmet be = y
Profit % of helmet = 120 %
[tex]Profit \% = \frac{selling \ price - cost \ price}{cost \ price}[/tex]
[tex]\frac{120}{100} = \frac{y -45}{45}\\\\\frac{120 \times 45}{100} = y -45\\\\54 = y - 45\\\\99 = y[/tex]
Step 3 : Selling price of skates
Total selling = selling price of helmet + selling price of skates
224 = 99 + selling price of skates
224 - 99 = selling price of skates
125 = selling price of skates
Step 4 : Profit percentage on skates
Cost price of skate = £ 115
Selling price of skate = £ 125
[tex]Profit \% \ on \ skates = \frac{selling\ price- cost \ price }{cost \ price} \times 100[/tex]
[tex]= \frac{125-115}{115} \times 100\\\\=\frac{10}{115} \times 100\\\\= 8.7 \%[/tex]
WHAT is the answer? Pls Time limit
Answer:
11 is the answer.....
Step-by-step explanation:
6x-15+39+90 = 180
SOMEONE HELP ME PLEASE
find the real fifth root of -32
Answer: -2
This is because (-2)^5 = -32. Applying the fifth root to both sides lets us say [tex]-2 = \sqrt[5]{-32}[/tex]
There are four other roots but they are complex. Effectively, we are solving the equation [tex]x^5 + 32 = 0[/tex]
You deposit $10,000 in an account earning 4% interest compounded monthly. a. How much will you have in the account in 25 years? b. How much interest will you earn?
Answer:
In 25 years I will have $ 27,137.65. Therefore, I will earn $17,137.65 interest.
Step-by-step explanation:
Given that I deposit $ 10,000 in an account earning 4% interest compounded monthly, to determine how much will you have in the account in 25 years and how much interest will I earn, the following calculation must be performed:
10,000 x (1 + 0.04 / 12) ^ 25x12 = X
10,000 x (1 + 0.00333) ^ 300 = X
10,000 x 2.7137 = X
27,137.65 = X
Therefore, in 25 years I will have $ 27,137.65. Therefore, I will earn $17,137.65 interest.
If anyone can do this for me step by step i will give you 30 points please help me out
Answer:
after 10 months
Step-by-step explanation:
Let x be the number of months and y be the amount they still owe.
Sin Ian borrows $1000 from his parents, then the y-intercept b= 1000 since he owes $1000 when x = 0. He pays them back $60 each month The slope is then m = -60 . Substituting in b = 1000 and m = -60 into the slope-intercept form of a line then gives y= mx + b=-60x +1000.
Sin Ken borrows $600 from his parents, then the y-intercept b = 600 since he owes $600 When x= 0. He pays them back $20 per month so the amount he owes decreases $20 each month. The slope is then m = -20 . Substituting in
b= 600 and m = -20 into the slope-intercept form then gives y = mx +b = -20x + 600.
They will owe the same amount when they have the same y-coordinate. Therefore -60x+ 1000= y= -20x+600. Solve this equation for x:
-60x+ 1000 = -20x+ 600
1000 = 40x+ 600
400 = 40x
10=x
They will then owe the same amount after 10 months.
Find the area of this circle. Use 3 for T.
Α = πη2
5 in
[?] in?
Hope this help!!!
Have a nice day!!!
Here is the problem
Answer:
65x + 115 = 180
65x = 65
_______
65
x = 1
Patel squeezed oranges so that his family could have fresh-squeezed juice for breakfast. He squeezed StartFraction 4 over 17 EndFraction cups from the first orange, StartFraction 3 over 10 EndFraction cups from the second orange, StartFraction 9 over 20 EndFraction cups from the third orange, StartFraction 3 over 11 EndFraction cups from the fourth orange, and StartFraction 7 over 15 EndFraction cups from the fifth orange. Patel estimates that he needs 3 cups of orange juice for his family. About how much more orange juice does he need to reach his estimate?
Answer:
A. 1/2 cups
Step-by-step explanation:
13/15 is close to 1
1/5 is a small amount
9/20 is just over 1/2
5/11 is just under 1/2
7/15 is just under 1/2
Estimate: 1 + 1/2 + 1/2 + 1/2 + a little = 2 1/2
He needs 3 cups, so he needs another 1/2 cup.
Answer: A. 1/2 cups
Answer:
it a 1/2
Step-by-step explanation:
Longhorn Pizza has the following number of topping options available: four vegetables, two meats, and two cheeses. A pizza is ordered with exactly four toppings. What is the probability that the pizza is ordered with exactly two vegetables, one meat, and one cheese
Answer:
The probability is [tex]\frac{24}{70}[/tex].
Step-by-step explanation:
topping options available: four vegetables, two meats, and two cheeses
Number of topping on one pizza = 4
Getting two vegetables = (4 C 2)
Getting one meat = (2 C 1)
Getting one cheese = (2 C 1)
Choosing 4 toppings out of 8 = (8 C 4)
probability that the pizza is ordered with exactly two vegetables, one meat, and one cheese
[tex]\frac{(4C2)\times (2C1)\times (2C1)}{(8C4)}\\\\\frac{6\times 2\times 2}{70}\\\\\frac{24}{70}[/tex]
Find the equation of a line with a slope of −1/2 that passes through the point −4, 10
Answer:
y - 10 = -1/2(x + 4)
General Formulas and Concepts:
Algebra I
Coordinates (x, y)
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify variables
m = -1/2
Point (-4, 10) → x₁ = -4, y₁ = 10
Step 2: Find
Substitute in variables [Point-Slope Form]: y - 10 = -1/2(x - -4)Simplify: y - 10 = -1/2(x + 4)Answer: [tex]y=-\frac{1}{2} x+8[/tex]
Step-by-step explanation:
An equation of a line can be in slope intercept form which is y=mx+b
m is the slope, b is the y intercept, x it the x coordinate, and y is the y coordinate. Since we know the slope is -1/2 and we know a x coordinate is -4 and a y coordinate is 10 we can sub them in and solve for the value of b.
[tex]y=mx+b\\10=(-\frac{1}{2})(-4)+b\\10=2+b\\10-2=2+b-2\\8=b[/tex]
The value of b is 8. We can now sub it in for our equation of the line. This time with x and y as variables.
y=-1/2x+8
Lori downloaded all the pictures she took at Rita’s wedding into a single computer folder. She took 86 of the 134 pictures with her camera and the remainder of them with her cell phone. Of the pictures Lori took with her cell phone, one out of every five was blurry.
Answer:
87
Step-by-step explanation:
Find the value of x 720
9514 1404 393
Answer:
x = 63
Step-by-step explanation:
The base angles of each isosceles triangle are equal, so we can write the sum of the four angles in the quadrilateral as ...
72° +(72° +x°) +x° +90° = 360° . . . . . clockwise from upper left
2x = 126 . . . . . . . . . divide by °, subtract 234
x = 63 . . . . . . . . . . . divide by 2
PLEASE HELP!!!
WILL MARK BRAINLIEST!!!
If the diameter of the circle shown below is 6ft and 0 is a right angle, what is the length of segment AB to the nearest foot?
Multiple choice!
Thank you!
Answer:
how old are you gghhjjzetstu9u
Answer:
4 ft
Step-by-step explanation:
let's find radius first
radius=diameter/2
=6/2
=3 ft
radii=3 ft
Now by using pythagoras theorem
a^2 + b^2 = c^2
3^2 + 3^2 =AB^2
9+9=AB^2
18=AB^2
[tex]\sqrt{18}[/tex] AB
4.24 =AB
4 ft =AB (after converting to nearest foot)
I need the answer. Please help me
C = 25 deg
a ≈ 10.72 ft
b ≈ 11.83 ft
Answer:
C = 25
a = 10.72
b = 11.83
Step-by-step explanation:
C:
Solve; 180 - (90 + 65)
a:
Tan(65) = a/5
Tan(65) * 5 = a
10.72 = a
b:
Cos(65) = 5/b
Cos(65) * b = 5
b = 5 / Cos(65)
b = 11.83
Hope this helps!
m.ng giúp mình về phần vector trong ma trận nha
Answer:
maybe if u translate it in English
Step-by-step explanation:
it wouldv been helpful if u mind?
what’s “24 increased by a number y is 41” as an equation?
Answer:
24 + y = 41
y = 17
Step-by-step explanation:
24 + y = 41
y + 24 = 41
y + 24 - 24 = 41 - 24
y = 17
Find all real zeros of the function y = -7x + 8
9514 1404 393
Answer:
x = 8/7
Step-by-step explanation:
The only real zero of this linear function is the value of x that makes y=0:
0 = -7x +8
7x = 8 . . . . . . add 7x
x = 8/7 . . . . . .divide by 7
