Answer:
3.544>3.455
Step-by-step explanation:
This is because if you look at the numbers .5 is greater than (>) .4
Volume of 12m height base and 6m base cone
Answer:
452.16 m³
Step-by-step explanation:
Given
height, h = 12 mbase radius, r = 6 mFormula
V = 1/3πr²hSolving
V = 1/3 x 3.14 x 36 x 12V = 3.14 x 144V = 452.16 m³A line passes through the points (0, 6) and (–9, 9). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
[tex]y = -\frac{1}{3} x + 6[/tex]
Step-by-step explanation:
Slope-intercept form: [tex]y = mx + b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
The formula to find the slope of a line is [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex].
1) Plug the coordinates into this [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex].
[tex]m = \frac{9 -6 }{-9 - 0 }[/tex]
2) Solve it. Simplify it if possible.
[tex]m = \frac{3 }{-9}[/tex]
Simplified: [tex]m = \frac{1 }{-3 }[/tex]
3) Plug the result into [tex]y = mx + b[/tex].
[tex]y = \frac{1}{-3} x + b[/tex]
4) Plug one of the points ([tex]x_{1}, y_{1}[/tex] or [tex]x_{2}, y_{2}[/tex]) into [tex]y = \frac{1}{-3} x + b[/tex] to find [tex]b[/tex].
[tex]6 = \frac{1}{-3}(0) + b[/tex]
[tex]6 = 0 + b[/tex]
[tex]6 - 0 = b[/tex]
[tex]6 = b[/tex]
5) Plug the result of [tex]b[/tex] into [tex]y = \frac{1}{-3} x + b[/tex].
[tex]y = \frac{1}{-3} x + 6[/tex]
The negative situated in the denominator can be genaralised to the fraction.
Therefore, [tex]y = -\frac{1}{3} x + 6[/tex].
Please help me on Mathematics
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Answer:
1. 20 km/hr (60km / 3h)
2. 70 m/hr (170m / 2h)
3. 6.5 hr (260cm / 40km)
4. 4.5 s (72cm / 16cm)
5. 184 km (46km * 4h)
Step-by-step explanation:
We'll use d = distance, t = time, s = speed.
Speed over time can be found by dividing distance by time
s = d / t
We can take this formula and manipulate it to find either distance or time if we know two of the values. Keeping in mind division and multiplication cancel each other.
If we wanted to find d for instance we can multiply both sides by t to get
s * t = d
For time we can divide both sides of the above formula by s to get
t = d / s
Answer:
1. 20 km/h
2. 70 m/h
3. 6.5 h
4. 4.5 s
5. 184 km
Step-by-step explanation:
For first two questions, you can use the following formula:
[tex]\displaystyle \large{s = \frac{d}{t}}[/tex]
I denote ‘s’ be speed, ‘d’ be distance and ‘t’ be time. Some books may use ‘v’ for speed instead of ‘s’ but I use ‘s’ variable instead so it makes the equation easier to memorize.
Therefore, speed = distance/time
( 1 ) The first question is given both distance be 60 km and time be 3 hours. Therefore:
[tex]\displaystyle \large{s=\frac{60}{3}}\\\displaystyle \large{s=20 \ \ \sf{km / h}}[/tex]
So for the first question, the speed is 20 km/h
( 2 ) The second is given both distance be 140 m and time be 2 hours. Therefore:
[tex]\displaystyle \large{s=\frac{140}{2}}\\\displaystyle \large{s=70 \ \ \sf{m / h}}[/tex]
Therefore, speed is 70 m/h
For the third and four questions, we will be finding time. From the speed formula:
[tex]\displaystyle \large{s=\frac{d}{t}}[/tex]
Multiply both sides by t.
[tex]\displaystyle \large{st=d}[/tex]
Divide both sides by s.
[tex]\displaystyle \large{t=\frac{d}{s}}[/tex]
Therefore, time = distance/speed
( 3 ) The question is given speed be 40 km/h and distance be 260 km. Therefore:
[tex]\displaystyle \large{t=\frac{260}{40}}\\\displaystyle \large{t=\frac{13}{2} \ \ \sf{h}}\\\displaystyle \large{t = 6\frac{1}{2} \ \ \sf{h}}\\\displaystyle \large{t= 6.5 \ \ \sf{h}}[/tex]
Therefore, time is 6.5 h
( 4 ) The question is given speed be 16 cm/s and distance be 72 cm. Therefore:
[tex]\displaystyle \large{t=\frac{72}{16}}\\\displaystyle \large{t=\frac{9}{2} \ \ \sf{s}}\\\displaystyle \large{t=4\frac{1}{2} \ \ \sf{s}}\\\displaystyle \large{t=4.5 \ \ \sf{s}}[/tex]
Therefore, time is 4.5 s
For the last question, we have to find distance. From the speed formula:
[tex]\displaystyle \large{s=\frac{d}{t}}[/tex]
Multiply both sides by t.
[tex]\displaystyle \large{st=d}\\\displaystyle \large{d=st}[/tex]
Therefore, distance = speed * time
( 5 ) The question is given time be 4 hours and speed be 46 km/h. Therefore:
[tex]\displaystyle \large{d=46 \cdot 4}\\\displaystyle \large{ d=184 \ \ \sf{km}}[/tex]
Therefore, distance is 184 km.
Answer 3. and 4. Please help me
Question 3
Let the number of times an odd number was chosen be x. Then, the number of times an even number was chosen is x+4.
[tex]x+x+4=50\\\\2x+4=50\\\\2x=46\\\\x=23[/tex]
So, the answer is 23 times.
Question 4
If 8 ordered pizza, 4 did not order pizza.
[tex]\frac{4}{12}=\frac{1}{3}[/tex]
So, the answer is 1 out of 3.
How much on average did she make a week, if she worked 15 hours a week at $11/hour? (Rounded to the nearest whole dollar. Do NOT put the dollar sign.)
Answer:
1265 i think
Step-by-step explanation:
add 11 15 times
Answer:165
Step-by-step explanation:
÷what expression could be used to solve 2/5 ÷ 3/4
Answer:
The expression is division.
Step-by-step explanation:
2/5 ÷3/4=0.075
Answer:
[tex]\frac{2}{5} \times\frac{4}{3}[/tex]
Step-by-step explanation:
To find the answer we use KCF (Keep, Change, Flip).
[tex]\frac{2}{5} \div\frac{3}{4}[/tex]
[tex]\frac{2}{5} =\frac{2}{5}[/tex]
[tex]\div=\times[/tex]
[tex]\frac{3}{4} =\frac{4}{3}[/tex]
[tex]\frac{2}{5} \times\frac{4}{3}[/tex]
Which means the expression used to find the answer would be "2/5 × 4/3."
Hope this helps.
help please!!!!!!!!!
Answer:
Alright, so, the ratio is 2:5
In total, there are 7
So, 56/7=8
8x2=16
8x5=40
So after moving 2 students,
14 on the van, 42 on the bus
(you can use the true/false now)
Answer:
1. False
2. True
3. True
4. False
Step-by-step explanation:
Going to the museum:
Total: 56 students
van:bus = 2:5
2x + 5x = 56
7x = 56
x = 8
2x = 16
5x = 40
16 students go by van
40 students go by bus
40 - 16 = 24
Going back to school:
14 students go by van
42 students go by bus
van:bus = 14/42 = 1:3
42 - 14 = 28
Questions:
1. False
2. True
3. True
4. False
Find the exact value, without a
calculator.
30°
sin 15° sin
tan 15º =
2
cos 15° 30°
2
COS
II
[ ? ] - [
] + [
Enter
[tex]sin\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1-cos(\theta)}{2}} \qquad cos\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1+cos(\theta)}{2}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin\left( \cfrac{30^o}{2} \right)\implies \sqrt{\cfrac{1-cos(30^o)}{2}}\implies \sqrt{\cfrac{1-\frac{\sqrt{3}}{2}}{2}}\implies \sqrt{\cfrac{~~\frac{2-\sqrt{3}}{2}~~}{2}}[/tex]
[tex]\sqrt{\cfrac{2-\sqrt{3}}{2}\cdot \cfrac{1}{2}}\implies \sqrt{\cfrac{2-\sqrt{3}}{4}}\implies \boxed{\cfrac{\sqrt{2-\sqrt{3}}}{2}} \\\\[-0.35em] ~\dotfill\\\\ cos\left( \cfrac{30^o}{2} \right)\implies \sqrt{\cfrac{1+cos(30^o)}{2}}\implies \sqrt{\cfrac{1+\frac{\sqrt{3}}{2}}{2}}\implies \sqrt{\cfrac{~~\frac{2+\sqrt{3}}{2}~~}{2}} \\\\\\ \sqrt{\cfrac{2+\sqrt{3}}{2}\cdot \cfrac{1}{2}}\implies \sqrt{\cfrac{2+\sqrt{3}}{4}}\implies \boxed{\cfrac{\sqrt{2+\sqrt{3}}}{2}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{~~ sin\left( \frac{30^o}{2} \right)~~}{cos\left( \frac{30^o}{2} \right)}\implies \cfrac{~~\frac{\sqrt{2-\sqrt{3}}}{2} ~~}{\frac{\sqrt{2+\sqrt{3}}}{2}}\implies \cfrac{\sqrt{2-\sqrt{3}}}{2}\cdot \cfrac{2}{\sqrt{2+\sqrt{3}}} \\\\\\ \cfrac{\sqrt{2-\sqrt{3}}}{\sqrt{2+\sqrt{3}}}\implies \blacktriangleright \sqrt{\cfrac{2-\sqrt{3}}{2+\sqrt{3}}} \blacktriangleleft[/tex]
A rectangle is 4 ft long and 2 ft wide. find its area in square inches.
[tex]\text{Area of rectangle} = \text{length} \times \text{width}\\\\~~~~~~~~~~~~~~~~~~~~~~~=4 ~\text{ft}~\times ~2 ~\text{ft}\\\\~~~~~~~~~~~~~~~~~~~~~~~=8~ \text{ft}^2\\\\~~~~~~~~~~~~~~~~~~~~~~~=1152~\text{in}^2[/tex]
Sara used 6_1/2 packs of pencils in the first 1/2 of the year. At what rate is Sara using pencils?
⚫️13 packs per year
⚫️8_1/2 packs per year
⚫️14 packs per year
⚫️12_1/2 packs per year
please help find the area!
Ill mark brainliest!
The ratio of two numbers is 4 to 3. The sum of the numbers is 49. What are the two numbers?
Answer:
28/21
Step-by-step explanation:
28/21 is the equivalent to 4/3.
We know this is the fraction we are looking for because 28 + 21 = 49
Hope that helps!
Find the distance between the two points in simplest radical form.
(-8,3) and (-2,-5)
Here we would be using distance formula to calculate the distance between those two points.
Points are,
(-8,3) (-2,5)★ Distance Formula :
[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]We have :
x1 = -8 x2 = -2 y1 = 3 y2 = -5Substituting the values :
Refer the attachment.Additional Information :Centroid of a triangle :-
[tex]\boxed{ \sf{Centroid \: = \: \dfrac{x_1 \: + \: x_2 \: + \: x_3}{3} }} \: \pink\bigstar[/tex]Midpoint of two points:-
[tex]\boxed{ \sf{M \: = \: \dfrac{x_1 \: + \: x_2 }{2} \: , \: \dfrac{y_1 \: + \: y_2 }{2}}} \: \pink\bigstar[/tex]7. A company invests in a new project and it is expected that after years of running the cumulative project in millions of shillings from the project is given by the function f(t)=10.5t-+- 20 where t represents time in years. The project can run for maximum of nine years required (1) Draw a graph which represent the profit functions (Smarks)
Answer:
what are the objectives of census class 7
Roy and Stefan went to a computer fair with the same amount of money. After Roy spend $850 on a notebook and Stefan spend $300 on a printer, Stefen had three times as much money left as Roy.How much money did each of them have at first?
Answer:
$1125
Step-by-step explanation:
Check the attachment.
Please Helpp!!!! Pythagorean theorem
Answer:
12.6 = c
Step-by-step explanation:
The Pythagorean therom is a^2 + b^2 = c^2
We already know 2 varibles (12 and 4) so we can just plug them in.
12^2 + 4^2 = c^2
144 + 16 = c^2
160 = c^2
[tex]\sqrt{160}[/tex] = [tex]\sqrt{c^2}[/tex]
12.6 = c
Hope this helps :)
PLEASE HELP ME 100 POINTS AND BRAINLY!!!
Answer:
1. 220 minutes
2. $45.6
Step-by-step explanation:
Which statement describes the graph of the function?
The function has holes when x = 0 and x = 4.
The function has vertical asymptotes when x = 0 and x = 4.
The function has a vertical asymptote when x = 0 and a hole when x = 4.
The function has a hole when x = 0 and a vertical asymptote when x = 4.
Answer:
the function has vertical asymptotes when x = 0 and x = 4
Step-by-step explanation:
Kari and two of her friends are entering their senior year of high school. The tables below show the estimated expenses at three tied of schools they are considering. Complete the blanks in each table and use the information to help you answer questions 1-3
The expenses for the duration of the four years that Kari will use in the university is $68600.
How to calculate expenses?From the complete information, the expenses for the four years stay in the university will be calculated thus:
Tution = $8500
Room = $6700
Books = $1250
Miscellaneous expense = $700
Total = $17150
The expenses for the four years will be:
= $17150 × 4
= $68600
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Find two positive numbers whose product is 192 and their sum is a minimum.
Answer:
Since we want a positive number, x = 24. y = 192/x = 8
Step-by-step explanation:
Let x and y be the two positive numbers.
- Their product is 192: x*y = 192
- the sum of the first plus 3 times the second is a minimum: x + 3y
From the first equation, y = 192/x. Substitute that into the second equation:
x + 3y = x + 3(192/x) = x + 576/x
Now take the first derivative, set it to zero, and solve for x:
d(x + 576/x)/dx = 1 - 576/x2
0 = 1 - 576/x2
0 = x2 - 576 [Multiplied both sides by x2]
576 = x2
√576 = √x2
±24 = x
Since we want a positive number, x = 24. y = 192/x = 8
As a check, the factors of 192 are 192*1, 96*2, 48*4, 24*8, 16*12
192 + 3*1 = 195
96 + 3*2 = 102
48 + 3*4 = 60
24 + 3*8 = 48
16 + 3*12 = 52
24 + 3*8 is indeed the minimum
HELP PLEASE ! What is the solution to the equation x + 9.5 = 27.5? (1 point)
a
x = 2.9
b
x = 18
c
x = 20
d
x = 37
Answer:
B
Step-by-step explanation:
Group like them
such that the coefficient stands alone
by subtracting both sides by 9.5
What is the area of parallelogram ABDC?
9 cm 2
12.25 cm 2
7 cm 2
12 cm 2
Answer:
I guess it is 9 cm²
Step-by-step explanation:
Hope it helps.....
Suppose $f(3) = 4$. Name a point that must be on the graph of $y=f(x)+4.$
Enter your answer as an ordered pair.
Answer:
(x, y) = (3, 8)
Step-by-step explanation:
The graph for y is a translation upward 4 units of the graph of f(x).
__
A point on the graph of f(x) is given as ...
(x, f(x)) = (3, f(3)) = (3, 4)
Then a point on the graph of y will be ...
(x, y) = (x, f(x) +4)) = (3, f(3)+4) = (3, 4 +4)
(x, y) = (3, 8)
This figure represents a garden box that is to be filled with soil.
How much soil will it take to fill the garden box?
Enter your answer in the box.
Answer:
1728 ft³
Step-by-step explanation:
Lower part:
volume = 19 ft × 12 ft × 6 ft = 1368 ft³
Upper part:
volume = 10 ft × 12 ft × 3 ft = 360 ft³
Total Volume = 1728 ft³
how i do this? help pls
ANSWER QUICK WITH THE ANSWER FOR EXTRA POINTS ⭐️⭐️⭐️⭐️!
At noon, there are 700 juniors and 1,100 seniors at a college fair. After 12:00 p.m., 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes. What is the ratio of juniors to seniors at 2:00pm in fraction form
Answer:
find the common factor in the given algebraic expressions 4 (x-y) , 6(y-x)
I NEED help ASAP!!!!!!!
Step-by-step explanation:
Step 1: Plot the points
L(1,2)
M(0,-1)
J(1,-2)
K(2,-1)
Step 2: Multiply each point by 5.
and record thise points so we have
L(5,10)
M(0,-5)
J(5,-10)
K(10,-5)
Step 3: Plot those points.
Answer:
Graph attached below.
Step-by-step explanation:
After dilation of 5, the new coordinates follow the rule :
(x, y) ⇒ (5x, 5y)The points are :J' = (1 x 5, -2 x 5) = (5, -10)K' = (2 x 5, -1 x 5) = (10, -5)L' = (1 x 5, 2 x 5) = (5, 10)M' = (0 x 5, -1 x 5) = (0, -5)Dinasur is spelled Dinasur change my mind
Answer:
I cannot change what is the truth
Step-by-step explanation:
attempt to change the truth would resulted in dinaur catastrophe
A Mathematics paper consists of 12 questions of which not more than ten are to be answered. Given that the number of candidates who answer ten questions is equal to the number of candidates who answer nine questions only. Find the probability that a candidate chosen at random from among these two sets of candidates will have selected questions 1, 2 and 3 if all the questions have the same chance of being selected.
The probability that a candidate chosen at random from among these two sets of candidates will have selected questions 1, 2 and 3 is 0.4179.
How to calculate probability?The probability that a candidate chosen at random from among these two sets of candidates will have selected questions 1, 2 and 3 will ba calculated thus:
= [(9C6 /12C9) × 1/2] + [(9C7)/12C10) × 1/2]
= 42/220 + 18/66
= 0.1909 + 0.2727
= 0.4179
In conclusion, the probability is 0.4179.
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