Answer:
The mass of the exotic fruit is 20 grams.
Step-by-step explanation:
For the system to be in equilibrium,
i. the resultant of all masses must be zero
ii. the total mass on the left of the hanger must be equal to that on the right
Thus,
84 g = 42 g + 42 g
mass of each carrot = 12 g
mass of each mushroom = 10 g
mass of each cherry = 2.5 g
mass of each strawberry = 5 g
So that;
On the left of the hanger,
(2 x 5) + (2 x 10) + 12 = 42
10 + 20 + 12 = 42
42 = 42
On the right of the hanger, let the mass of exotic fruit be represented by x.
x + 12 + 5 + (2 x 2.5) = 42
x + 12 + 5 + 5 = 42
x + 22 = 42
x = 20 g
The mass of the exotic fruit is 20 grams.
I will give you brainliest whoever answers correct first !!
Answer:
34.4
Step-by-step explanation:
(54/11) --> ratio of one side of the larger triangle to the smaller one multiplied by 7 = 34.36363636... Rounding it to the nearest tenth is 34.4
A = ?
when r = 10 in.
(A = area of a circle)
(r = radius)
i will give you brainliest whoever answers correct first !
Answer:
72.8
Step-by-step explanation:
16 is 8 times 2. 36.4 times 2 would be 72.8
(16y ⁵/ 4y³) ¹/2 simplify expression
2y
Step-by-step explanation:
16y^5-3/4)
16y²/4)
4y²)1/2
2y
x +4 = 12; x = 16
Please help
Answer:
x=8 x=16
Step-by-step explanation:
Given function:
x+4=12x=16Thinks:
12=4+xx would be equal to 16Rewrite as:
x=8 since 8+4=12x=16=16Thereform, x=8 and x=16.
Consider the non-right triangle below.
Suppose that m∠ABC=44∘, and that x=16 cm and y=13 cm. What is the area of this triangle?
cm^2
Answer:
72 cm²
Step-by-step explanation:
Given:
m<ABC = 44°
x = 16 cm
y = 13 cm
Required:
Area of the triangle
Solution:
Formula for finding area of a triangle using the Side-Angle-Side method is given as:
Area = ½*ab*sin C
where,
a = 16
b = 13
C = 44°
Plug in the values
Area = ½(16*13)*sin 44
Area = 72.2444705 ≈ 72 cm²
PLEASE HELP CHECK MY ANSWER ASAP GEOMETRY 20 POINTS REAL ANSWERS ONLY! PLEASE EXPLAIN HOW I AM CORRECT!
Answer:
√13
Yes you are right
Step-by-step explanation:
The law of cos again
BC^2 = 18 + 25 - 2 * 3√2 * 5 cos(45 degrees)
= 13
==>
BC = √13
Answer:
yes the answer is correct
What is .06 x .2 please answer
Answer: .012
Step-by-step explanation: 6*2 is 12, and you can simply use the number of decimal points on the smaller term to get .012
Answer:
should be .12
Step-by-step explanation:
.06 multiplied by 2 is .12
help pls :)) much appreciated
Answer:
9,-7 hope this helps :))))))))
60 Benjamin bought 6.2 pounds of rice. Each pound cost
$0.90. How much did he spend on rice?
Answer:
.9x 6.2= $5.58
.............
e^x is greater than or equal to 25
Can someone help me please I don’t know if I did it right.
Answer:
1st, third and last options are correct answers
Step-by-step explanation:
e + 3 + e + 3
2e + 6
2(e + 3)
2. Find the slope of GL, and BH using the coordinates; B(-4,3), G(-2, 4), H(1, -2), L(-1, -3). then determine if the lines are parallel.
Given:
The coordinates of the points are B(-4,3), G(-2, 4), H(1, -2), L(-1, -3).
To find:
Whether GL and BH are parallel or not by using their slopes.
Solution:
If a line passes through the two points, then the slope of the line is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Using the slope formula, the slope of GL is
[tex]m_1=\dfrac{-3-4}{-1-(-2)}[/tex]
[tex]m_1=\dfrac{-7}{-1+2}[/tex]
[tex]m_1=\dfrac{-7}{1}[/tex]
[tex]m_1=-7[/tex]
Using the slope formula, the slope of BH is
[tex]m_2=\dfrac{-2-3}{1-(-4)}[/tex]
[tex]m_2=\dfrac{-5}{1+4}[/tex]
[tex]m_2=\dfrac{-5}{5}[/tex]
[tex]m_2=-1[/tex]
We know that slopes of parallel lines are always equal.
The slopes of GL and BH are -7 and -1 respectively but they are not equal, therefore GL and BH are not parallel lines.
A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest. Historical data indicates that 20% of all potential purchasers select a day visit, 50% choose a one-night visit, and 30% opt for a two-night visit. In addition, 30% of day visitors ultimately make a purchase, 10% of one-night visitors buy a unit, and 50% of those visiting for two nights decide to buy. Suppose a visitor is randomly selected and is found to have made a purchase. How likely is it that this person made a day visit
Answer:
0.2308 = 23.08% probability that this person made a day visit
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Visitor made a purchase
Event B: Made a day visit
Probability that a visitor made a purchase:
30% of 20%(day visitors)
10% of 50%(one-night)
50% of 30%(two-night)
So
[tex]P(A) = 0.3*0.2 + 0.1*0.5 + 0.5*0.3 = 0.26[/tex]
Probability of a purchase with a day visit:
30% of 20%. So
[tex]P(A \cap B) = 0.3*0.2 = 0.06[/tex]
How likely is it that this person made a day visit?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.26} = 0.2308[/tex]
0.2308 = 23.08% probability that this person made a day visit
help me with this plssss I dont understand
Answer:
y = 18
a = -2
Step-by-step explanation:
Hello There!
For the first one we need to create an equation to solve for y
23+7=y+12
30=y+12
isolate the variable using inverse operations
subtract 12 from each side
30-12=18
we're left with y = 18
for the second one we need to create an equation to solve for a
3+15+a=8+8+8
3+15=18
8+8+8=16
16=18+a
step 1 subtract each side by 18
16-18=-2
we're left with a = -2
soooo again in meters I'm soo sorryyy
I think 710 is the answer
266+266+89+89= 710
Find the length of the third side. If necessary, round to the nearest tenth??
Answer:
13
Step-by-step explanation:
5²+12²=c²
25+144=c²
169=c²
c=√169
c=13
Mr suresh had 7/9 kg of sugar. He used 1/3 of it. How much sugar did he use?
1/3 * 7/9 kg = (1 * 7)/(3 * 9) kg = 7/27 kg
He used 7/27 kg of sugar.
25 divided by the difference of 12 and 7
Answer:
5
Step-by-step explanation:
25 / ( 12-7) = 25 / 5 = 5
I hope im right!!
According to Cavaleri's Principle, if a cone and a pyramid have the same height, then
Answer:
Cavalieri's principle tells us that if 2 figures have the same height and the same cross-sectional area at every point along that height, they have the same volume.
Please help me find the volume!
Answer:
8.66
Step-by-step explanation:
If it helps, volume is LENGTH x WIDTH x HEIGHT, and for a triangular prism, each side is the same. :)
A tank contains 210 liters of fluid in which 30 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 3 L/min; the well-mixed solution is pumped out at the same rate. Let the A(t) be the number of grams of salt in the tank at time t. Find the rate at which the number of grams of salt in the tank is changing at time t.
Answer:
[tex]dA(t)/dt = -\frac{3}{7}e^{-t/70}[/tex] g/min
Step-by-step explanation:
The mass flow rate dA(t)/dt = mass flowing in - mass flowing out
Since water is pumped in at a rate of 3 L/min, and it contains no salt, the concentration in is thus 0 g/L. the mass flow in is thus 0 g/L × 3 L/min = 0 g/min.
Let A(t) be the mass present at any time, t. The concentration at any time ,t is thus A(t)/volume = A(t)/210. Since water flows out at a rate of 3 L/min, the mass flow out is thus, A(t)/210 g/L × 3 L/min = A(t)/70 g/min.
So, dA(t)/dt = mass flowing in - mass flowing out
dA(t)/dt = 0 g/min - A(t)/70 g/min
dA(t)/dt = - A(t)/70 g/min
Since the tank initially contains 30 g of salt, the initial mass of salt in the tank is 30 g. So A(0) = 30
So, the initial value problem is thus
dA(t)/dt = - A(t)/70 , A(0) = 30
Separating the variables, we have
dA(t)/A(t) = -dt/70
Integrating both sides, we have
∫dA(t)/A(t) = ∫-dt/70
㏑A(t) = -t/70 + C
taking exponents of both sides, we have
A(t) = exp(-t/70 + C)
A(t) = exp(-t/70)expC
[tex]A(t) = e^{-t/70}e^{C}\\A(t) = Ce^{-t/70} whereC = e^{C}[/tex]
A(0) = 30, So
[tex]A(0) = Ce^{-0/70}\\30 = Ce^{0}\\C = 30[/tex]
[tex]A(t) = 30e^{-t/70}[/tex]
The rate at which the number of grams of salt in the tank is changing at time t is
[tex]dA(t)/dt = \frac{d30e^{-t/70} }{dt} \\dA(t)/dt = -\frac{30e^{-t/70} }{70}\\dA(t)/dt = -\frac{3}{7}e^{-t/70}[/tex]
So, the rate at which the number of grams of salt in the tank is changing at time t is
[tex]dA(t)/dt = -\frac{3}{7}e^{-t/70}[/tex] g/min
Find three consecutive numbers whose sum shall equal 45.
Answer:
the three consecutive numbers are 14, 15, 16
Answer:
Since the consecutive numbers, so the first one is x, the next one is x+1, and so on....I hope this will help
Step-by-step explanation:
x + (x + 1) + (x + 2) = 45
x + x + 1 + x + 2 = 45
3x + 3 = 45
3x = 42
x = 14
Now that we know x = 14, let's add one to it.
x + 1 = 14 + 1 = 15.
Now we have our middle number, which is 15. You can always check your answer by adding 14 + 15 + 16 = 45. Whoo!
The minimum wage in 2007 was $7.50. The current minimum wage is $13.00. What is the percent of
change? Round your answer to the nearest tenth.
Evaluate the following expression when x = 3 and y = 5: x^2 + y^3 2+x
Answer:
139
Step-by-step explanation:
x^2 + y^3 2+x = 3^2 + 5^3 + 2 + 3
= 9 + 125 + 5
= 139!
i really need helpl lol pleasehelppppppppppppplplplppplplpl ?
Answer:
1,050
Step-by-step explanation:
3.5x
12x
25
=
1,050
J)
B
с
173"
87"
A
Find the measure of ZC.
-) :
A:
A)
10°
B)
14°
20°
D)
30°
Answer:
I think it's C im not certain
Hi please help I’m like rlly freaking confsuef
Answer:Ok Don't freak out What do you need help with
Step-by-step explanation:
Find the area of each figure. Round your answer to the nearest tenth.
8 km
Answer:
110.1
Step-by-step explanation:
hardest one yet..
complete all of these
i mean all of em
Answer:
1st one: 16
2nd one: 16
3rd one: 64
4th one: 27
5th one: 1000
Step-by-step explanation:
Have a great day