Answer:
Anna will need 1375 g of oats
What is the surface area of the right cone below?
slanted height of 13 and radius of 4
A. 5277 units
B. 5477 units2
C. 687 units2
D. 104 units2
Answer:
213.69 units
Step-by-step explanation:
We have to first find the height of the cone.
We can use Pythagoras rule because the slant height, height and radius of a cone all form a right angled triangle:
[tex]h^2 = a^2 + b^2[/tex]
where h = hypotenuse
a and b = the other two sides of the triangle
The radius is 4 units and the slant height is 13 units:
[tex]13^2 = a^2 + 4^2\\\\169 = a^2 + 16\\\\a^2 = 169 - 16 = 153\\\\a = \sqrt{153}\\\\a = 12.37units[/tex]
The height of the cone is 12.37 units.
The surface area of a cone is given as:
SA = [tex]\pi r (r + \sqrt{h^2 + r^2} )[/tex]
[tex]SA = \pi * 4(4 + \sqrt{12.37^2 + 4^2} )\\\\SA = 12.57(4 + \sqrt{13^2} )\\SA = 12.57 (4 + 13)\\\\SA = 12.57(17)\\\\SA = 213.69 units[/tex]
The surface area of the cone is 213.69 units.
Solve for x. 2x = 15 + x
A.) x = -15
B.) x = 15/2
C.) x = -15/2
D.) x = 15
Option D( X=15)
Solution,
2x=15+x
or, 2x-x=15
X=15
hope it helps...
Good luck on your assignment...
Answer:
[tex]x = 15[/tex]
Step-by-step explanation:
[tex]2x = 15 + x \\ 2x - x = 15 \\ x = 15[/tex]
Answer D is correct
Can someone please help me this is my third time posting!!!!!
This is a example since there is no topic:
Explanatory variable: Could be found on the x axis
Response variable: Could be found on the y axis
Four things need to talk about when you describe a scatter plot:
D. Direction
O. Outliers
F. Form
S. Strength
Example: The relationship between this graph is strong, positive and linear relationship. There does not appear not be outlines.
How to know if its positive: As the x axis increases so does y axis increases too.
How to know if the chart is linear:
Because it describe the scatter plot. DOFS.
Tell me if you need more help with a pacific thing.
Hope this helps.
Please help I’m really struggling with this
Answer:
[tex]y=\frac{1}{3} x+4[/tex]
Step-by-step explanation:
A linear equation is written as [tex]y=mx+b[/tex], "m" being the slope and "b" being the y-intercept.
The slope is how many times you rise/run in order to get from one point on the line to the next. You rise (go up/down) 1 unit and run (go left/right) 3 units. Plug in the numbers and you get 1/3.
The y-intercept is where the graph lands on the y-axis, which is 4.
y = 1/3x + 4
Step-by-step explanation:
y = ax + b
b = the intercept with the y-as.
In the graph, the linear function (which is a fancy word for a line), you can see that the incline with the y-axis is at point (0,4).
So, b = 4
a = slope or incline.
To easilly find "a", you can follow these steps:
1. You choose two "nice" poins.
2. Starting on one point of the line, you count how many units you need to go in horizontal direction and in vertical direction to end upon the another point on the line.
3. The fraction a = y units/x units
1. Choose two nice point
Starting from (0,4) and going to the next "nice" point for example (3, 5).
2. Horizontal 3 units to the right, and 1 unit up.
3. a = y units/x units
a = 1/3
y = 1/3x + 4
Kerry read 2/3 of her chemistry book containing 420 pages. David read 3/4 of the same. Who read more pages and by how many pages?
Answer:
Kerry = 2/3 * 420 = 280
David = 3/4 * 420 = 315
David read more pages compared to Kerry.
David read 35 more pages than Kerry.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Chemistry book contains 420 pages.
Kerry read 2/3 of her chemistry book,
= 2/3 x 420
= 280 pages.
David read 3/4 of her chemistry book,
= 3/4 x 420
= 315 pages.
315 - 280 = 35 pages.
Therefore, David read more pages.
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The price of a train ticket consists of an initial fee plus a constant fee per stop. The table compares the number of stops and the price of a ticket (in dollars). What is the initial fee?
Answer:
Initial Fee is $2.
Step-by-step explanation:
What is the equation of a line with a slope of -2 and passes through the point (6,8)
Start with the point-slope formula, shown below in bold.
Y - y1 = m(x - x1)Our point which in this case is (6, 8) represents (x1, y1) in our formula.
~Substitute
Y - 8 = -2(x - 6)
I will be writing this equation in standard form.
First distribute the -2 through the parentheses.
This gives us y - 8 = -2x + 12.
Next we would move the -8 to the right side of the equation
by adding 8 to both sides to get y = -2x + 20.
Finally we move our x term to the left side of the equation
by adding 2x to both sides and our answer is 2x + y = 20.
What is an equation of the line that passes through the point (8,-8) and is
perpendicular to the line 4x – 3y = 18?
Answer:
y = -3/4x - 2
Step-by-step explanation:
You put the equation in the slope-intercept form. Remember that the perpendicular slope is the negative reciprocal. You plug in the slope and the point into the slope-intercept formula. Solve for b then plug it into the final formula.
The equation of the line that passes through the point (8,-8) and is
perpendicular to the line 4x – 3y = 18 is;
⇒ 3x + 4y = -8
Here,
The point is (8, -8)
And, The equation of line is, 4x - 3y = 18
What is Equation of line?
The equation of line passes through points (x₁, y₁) and has slope m is;
y - y₁ = m₂ (x - x₁)
Now,
The point is (x₁, y₁) = (8, -8)
And, The equation of line is, 4x - 3y = 18
Put into the slope form as;
4x - 3y = 18
4x - 18 = 3y
y = (4/3)x - 6
Hence, Slope of the given line = 4/3
The slope (m₁) of perpendicular line relationship is;
4/3 * m₂ = -1
m₂ = -3/4
Hence, slope of perpendicular line (m₂) = -3/4
So, The equation of line by using point/slope form is;
y - y₁ = m₂ (x - x₁)
y - (-8) = -3/4 (x - 8)
y + 8 = -3/4 (x - 8)
4 (y + 8) = -3 (x - 8)
4y + 32 = -3x + 24
3x + 4y = -8
Hence, The equation of the line that passes through the point (8,-8) and is perpendicular to the line 4x – 3y = 18 is;
⇒ 3x + 4y = -8
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Which two of these are continuous data?
Answer:
B and D
Step-by-step explanation:
Age of Student --> Age of student is continues
Time taken to run one mile is also continues
Answer:
B and D
Step-by-step explanation:
I’ve been trying to figure this out all day and still can’t seem to figure it out
Answer:
(4x-1)(4x-1)
(x-6)(x+5)
(3x-7)(3x+7)
(3x-1)(x+6)
Step-by-step explanation:
yes
Every 10 years the alumni have a reunion. Every 2 years the alumni have a soccer game. How often do the reunion and the soccer game fall in the same year?
Answer:
They would fall in the same year every 10 years
Step-by-step explanation:
Here in this question, we are interrelated in calculating the number of years it will take the alumni reunion and the alumni soccer game to fall in the same year.
Now looking at the number of years, we can see we have every 2 and every 10 years
To get the year in which they happen at the same time, we can simply find the lowest common multiple of 2 and 10 and that would be 10
This can be visualized in a way that;
The reunion has happened now, and will happen in the next 10 years.
Now since the soccer game has happened now, in the next 10 years, we shall be having 5 episodes. This means that it will take up to the 10th year before we have the soccer game and the alumni reunion occurring at the same time and the mathematical reason for this is that , 10 is the lowest common multiple of 10 and 2
Answer:
1 times
Step-by-step explanation:
Hello,
The alumni have reunions every 10 years
But also have football games every 2 years
We have to find how often do the football and reunion fall the same year.
Working with a space of 10 years
In 10 years, reunions happen only once
In 10 years, soccer games happen five times
Assuming we're in the year 2020,
The next reunion would likely occur in year 2030.
But soccer games will happen in year 2022, 2024, 2026, 2028 and finally 2030.
Checking both soccer and reunion coincidence, we can only find one which is in year 2030.
So, soccer games and reunions happen once in 10 years
PLEASE determine the product or quotient:
a) (2x^2)(-4x^5)
b) (36m^2) / (-9nx)
c) -11ab^9b^6 / 5b^3a
Answer:
a ) - 8x^7,
b ) - 4m^2 / nx,
c ) - 11a^2b^18 / 5
Step-by-step explanation:
[tex]a ) (2x^2)(-4x^5),\\-2x^2\cdot \:4x^5,\\-8x^5x^2,\\-8x^7\\\\Solution = -8x^7[/tex]
To solve this problem, I removed ( ), multiplied the terms, and through the " exponential rule " added the exponents to derive the solution - 8x^7
[tex]b ) (36m^2) / (-9nx),\\-\frac{36m^2}{9nx},\\-\frac{4m^2}{nx}\\\\Solution = -\frac{4m^2}{nx}[/tex]
Here I simplified the bit " 36 / 9 " which was found as 4 in the numerator, deriving the solution - 4m^2 / nx
[tex]c ) -11ab^9b^6 / 5b^3a,\\-11b^9\frac{b^6}{5}b^3a^{1+1},\\-11b^9\frac{b^6}{5}b^3a^2,\\-11\cdot \frac{b^6}{5}b^{9+3}a^2,\\-11\cdot \frac{b^6}{5}b^{12}a^2,\\-\frac{b^6\cdot \:11b^{12}a^2}{5},\\-\frac{11a^2b^{18}}{5},\\\\Solution = -\frac{11a^2b^{18}}{5}[/tex]
I applied a combination of " the exponential rule " and the addition of these exponents to receive a simplified solution - 11a^2b^18 / 5.
What is the inverse of the function f(x) = one-quarterx – 12? h(x) = 48x – 4 h(x) = 48x + 4 h(x) = 4x – 48 h(x) = 4x + 48
Answer:
h(x) = 4x+48Step-by-step explanation:
Given the function f(x) = 1/4x -12. To get the inverse of the function, first we will let y = f(x) to have y = 1/4x - 12.
Then we will make x the subject of the formula as shown:
y = 1/4x - 12
adding 12 to both sides we have;
y + 12= 1/4x - 12 + 12
y + 12 = 1/4x
Multiplying both sides by 4 we have;
4(y+12) = x
x = 4y + 48
Substituting y for x
y = 4x+48
f^-1(x) = 4x+48
h(x) = 4x+48
Thee final expression will give the inverse of the function
Answer:
h(x) = 4x+48
Step-by-step explanation:
Given the function f(x) = 1/4x -12. To get the inverse of the function, first we will let y = f(x) to have y = 1/4x - 12.
Then we will make x the subject of the formula as shown:
y = 1/4x - 12
adding 12 to both sides we have;
y + 12= 1/4x - 12 + 12
y + 12 = 1/4x
Multiplying both sides by 4 we have;
4(y+12) = x
x = 4y + 48
Substituting y for x
y = 4x+48
f^-1(x) = 4x+48
h(x) = 4x+48
Thee final expression will give the inverse of the function
There are three routes from a person's home to her place of work. There are four parking lots where she works, three entrances into her building, two elevators to her floor, and one route from each elevator to her office door. a) How many ways can she go from her home to her office? [2 marks] b) If she makes her various choices at random, what is the probability that she will take Morningside Drive, park in lot A, use the south entrance, and take elevator 1? [3 marks] c) As she starts her car one morning, she recalls parking lots A and B are closed for repair. What is the probability that she will take Industrial Avenue, park in lot D, use the north entrance, and take elevator 2?
Answer:
a) 72
b) 1/72
c) 1/36
Step-by-step explanation:
a) number of ways she can choose route= 3C1 = 3
number of ways she can choose parking lots= 4C1 = 4
number of ways she can choose entrances= 3C1 = 3
number of ways she can choose elevators= 2C1 = 2
number of ways she can go to office= number of ways she can choose route×number of ways she can choose parking lots×number of ways she can choose entrances×number of ways she can choose elevators
number of ways she can go to office= 3×4×3×2
= 72
b) Probability of morning side= number of morning side/ total number of routes= 1/3
probabiltiy of Parking lot A= number of parking lot A/ total number of parking lot= 1/4
probability of south entrance= number of south entrance/ total number of entrances= 1/3
probablity of elevator 1= number of elevator 1/ total number of elevator= 1/2
combine probability= 1/3× 1/4×1/3×1/2 = 1/72
c) Probability of Industrial Avenue= number of industrial avenue/ total number of avenue= 1/3
Probability of parking lot D= number of parking lot D/ total number of parking lot after deducting number of parking lots A and B = 1/2
Probability of north entrance= number of north entrance/ total number of entrance= 1/3
probablity of elevator 2= number of elevator 2/ total number of elevator
= 1/2
combine probability= 1/3 × 1/2 × 1/3 ×1/2
= 1/36
What is the sum of the measures of the interior angles of a 12-gon?
1620°
O 1800°
O 1980°
O 2160°
Answer:
The answer is 1800!
Step-by-step explanation:
Answer:
B. 1800 degrees.
Step-by-step explanation:
Just took the quiz on Edg (2020-2021)!
Can someone please help with this answer
Answer:
16x9= 144 cm2
Step-by-step explanation:
There are 350 Families lives in the small town of America. A poll of 50 families revealed the mean annual church contribution is $550 with the standard deviation of $ 75.Construct the 95% confidence interval for the mean annual contribution
Answer:
$550+/-$20.79
= ( $529.21, $570.79)
Therefore, the 95% confidence interval (a,b) = ( $529.21, $570.79)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = $550
Standard deviation r = $75
Number of samples n = 50
Confidence interval = 95%
z(at 95% confidence) = 1.96
Substituting the values we have;
$550+/-1.96($75/√50)
$550+/-1.96($10.60660171779)
$550+/-$20.7889393668
$550+/-$20.79
= ( $529.21, $570.79)
Therefore, the 95% confidence interval (a,b) = ( $529.21, $570.79)
what is 240:180 in its simplest form thanks
Answer:
4:3
Step-by-step explanation:
240:180=
60(4):60(3)=
4:3
Hope this helps!
Answer:
4:3
Step-by-step explanation:
24:18
4:3
What is the probability brittnie gets at least 35 hits in her next 100 at bats? (round to 3 decimal places.)?
Answer:
0.350
Step-by-step explanation:
Probability is defined as the chances that an event will occur or not occur. The entire idea of probability has to do with 'chance' events. Thus, the probability that an event will surely occur is 1, while the probability that an event will never occur is zero. Probabilities range between 0-1.
Probability of an event is obtained from
Probability= expected outcome/total number of outcomes
In this case,
Expected outcome= 35
Total number of outcomes = 100
Probability= 35/100= 0.350
4. A triangle plotted in the coordinate plane has vertices at (2, 3), (sqrt15,3) and (4,8). Which of the following
is closest to its area?
(1) 4.68
(3) 7.12
(2) 5.93
(4) 8.76
Answer:
Option(1) is the correct answer to the given question .
Step-by-step explanation:
let [tex]x1, y1=\ (2, 3)[/tex]
[tex](x2,y2)=(\sqrt{15,3} \ )[/tex]
[tex](x3,y3)=\ (4,8)[/tex]
Now we know that
[tex]Area=\ \frac{1}{2} |x1(y2-y3)\ + \ x2(y3-y1)\ + x3(y1-y2)[/tex]
Now putting this value in the formula we get
[tex]\frac{1}{2}|2(3-8)\ +\sqrt{15}(8-3)\ * 4(5-3)|[/tex]
[tex]=\ \frac{1}{2}\ *9.3649[/tex]
=4.6824
Therefore option(1) is the correct answer .
Answer:
Option(1) is the correct answer to the given question .
Step-by-step explanation:
Julie went shopping at the mall for a new pair of jeans. She saw a pair at Hollister that was marked $50 with a 40% discount. She saw a pair at Abercrombie that was marked $40 with a 20% discount. How much would each pair of jeans cost after the discount?
Answer:
30 and 32
Step-by-step explanation:
Which multiplication expression is equal to 2/3 ÷ 1/2
2/3 ÷ 1/2 = 1.33333333333 or 1.3 for short
-Peter
Answer:
2*2/3 = 4/3
Step-by-step explanation:
2*2/3 = 4/3
Calculate the surface area of the tent :
(Problem number 6)
Answer:
374 feet^2
Step-by-step explanation:
Surface area:
area of cross section x 2 = 110feet^2
area of tope x 2 = 264 feet^2
sum / Surface area: 374 feet^2
I need help with this ASAP, please thank you
Answer:
Option A is the correct answer.
Step-by-step explanation:
Line is passing through the point[tex] (2, - 6) = (x_1, \: y_1) [/tex] and its slope is - 3.
Equation of line in slope point form is given as:
[tex] y-y_1 = m(x-x_1) \\
\therefore y-(-6) = - 3(x-2) \\
\huge \red {\boxed {\therefore y + 6 = - 3(x-2)}} \\[/tex]
Answer: A
Step-by-step explanation:
Point-slope form is the following: y - y1 = m(x - x1). So all that is needed is to substitute y1 for -6, x1 for 2, and -3 for m(the slope).
y - y1 = m(x - x1)
y - (-6) = -3(x - (2))
y + 6 = -3(x - 2)
which equations are true identities
Answer:
C
Step-by-step explanation:
Both A and B are true identities.
See attachment.
Select the correct answer from each drop-down menu.
Consider the trinomial x2 − 9x + 20.
The factors of this trinomial are ()().
Answer:
[tex](x - 4)(x - 5)[/tex]
Step-by-step explanation:
x2 − 9x + 20
[tex] {x}^{2} - 9x + 20 \\ {x}^{2} - 5x - 4x + 20 \\ x(x - 5) - 4(x - 5) \\ (x - 4)(x - 5)[/tex]
The factors of the given trinomial are (x-5)(x-4).
The given trinomial is x²− 9x + 20.
How to factorise trinomial?To the factor, a trinomial in the form x² + bx + c, find two integers, r and s, whose product is c and whose sum is b.
Rewrite the trinomial as x² + rx + sx + c and then use grouping and the distributive property to factor the polynomial. The resulting factors will be (x + r) and (x + s).
Now, x²− 9x + 20 can be written as x²− 5x-4x + 20
=x(x-5)-4(x-5)
=(x-5)(x-4)
Therefore, the factors of this trinomial are (x-5)(x-4).
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Wht is the y-intercept of the line describes by the equation below?
Answer:
(0,7)
Step-by-step explanation:
This is in the form
y = mx+b where m is the slope and b is the y intercept
y = -5x +7
The slope is -5 and the y intercept is 7
(0,7)
Answer:
(0,7)
Step-by-step explanation:
y=mx+b
y=-5x+7
so y intercept is (0,7)
∠A and \angle B∠B are complementary angles. If m\angle A=(2x+18)^{\circ}∠A=(2x+18) ∘ and m\angle B=(6x-8)^{\circ}∠B=(6x−8) ∘ , then find the measure of \angle B∠B?
Answer:
[tex]m\angle B=52^{\circ}[/tex]
Step-by-step explanation:
Two or more angles are said to be complementary if they sum up to 90 degrees.
Given that angles A and B are complementary, then:
[tex]\angle A+\angle B=90^\circ\\m\angle A=(2x+18)^{\circ}\\m\angle B=(6x-8)^{\circ}\\$Therefore:\\(2x+18)^{\circ}+(6x-8)^{\circ}=90^\circ\\2x+6x+18-8=90^\circ\\8x+10^\circ=90^\circ\\8x=90^\circ-10^\circ\\8x=80^\circ\\$Divide both sides by 8\\x=10^\circ\\$Therefore:\\m\angle B=(6x-8)^{\circ}\\m\angle B=(6(10)-8)^{\circ}\\=60-8\\m\angle B=52^{\circ}[/tex]
Answer:
56 :)
Step-by-step explanation:
how do you Solve. 21r<7
Answer:
r < 1/3
Step-by-step explanation:
21r<7
Divide each side by 21
21r/21<7/21
r < 1/3
Answer:
[tex] r < \frac{1}{3} \\ [/tex]
Step-by-step explanation:
[tex]21 \: r < 7 \\ \frac{21 \: r}{21} < \frac{7}{21} \\ r < \frac{1}{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
3(a-2/3)= 3/4a+2 1/4
Steps:
Step 1: Simplify both sides of the equation.
3(a−2/3)=3/4a+21/4
(3)(a)+(3)(−2/3)=3/4a+21/4(Distribute)
3a+−2=34a+2143a−2=3/4a+21/4
3a+−2=34a+2143a−2=3/4a+21/4
Step 2: Subtract 3/4a from both sides.
3a−2−3/4a=3/4a+21/4−3/4a
9/4a−2=21/4
Step 3: Add 2 to both sides.
9/4a−2+2=21/4+2
9/4a=29/4
Step 4: Multiply both sides by 4/9.
(4/9)*(9/4a)=(4/9)*(29/4)
Answer:
A=29/9
Please mark me brainliest
Hope this helps.