The solution of the given expression will be equal to ( -1 / 36 ).
What is an expression?
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The solution of the given expression will be:-
[tex]=[\dfrac{2}{7}\times \dfrac{4}{9}]-\dfrac{1}{4}+[\dfrac{2}{7}\times \dfrac{1}{3}][/tex]
[tex]= \dfrac{8}{63}-\dfrac{1}{4}+\dfrac{2}{21}[/tex]
[tex]=\dfrac{32-63+24}{252}[/tex]
[tex]=\dfrac{-1}{36}[/tex]
Therefore the solution of the given expression will be equal to ( -1 / 36 ).
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Answers is easy it's a 4th grade answer
Answer: Hope this helps
Step-by-step explanation:
PLEASE HELP MEEEE i'll give brainliest if it's answered w work thank u lololol im failing this class
Answer:
it is 20 miles per gallon
3. The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 70.3% of their carbon-14. How old were the bones at the time they were discovered?
Answer:
10,071 years
Step-by-step explanation:
If 'a' is the fraction remaining, it satisfies the equation ...
a = (1/2)^(t/5750)
Solving for t, we get ...
log(a) = log(1/2)×t/5750
t = 5750×log(a)/log(1/2) ≈ -19,101.09×log(a) . . . years
__
If 70.3% is lost, then 1 -0.703 = 0.297 is the fraction remaining. The age is estimated to be ...
-19,101.09×log(0.297) ≈ 10,071 . . . years
The bones were about 10,071 years old.
Suzanne bought 3 quarts of orange juice, 4 quarts of apple juice, and 5 quarts of water at the store. How many gallons of liquid did she buy?
Answer:
3 gallons
Step-by-step explanation:
Y= 4x+3 make x the subject
Answer:
x = (y-3)/4Step-by-step explanation:
Y= 4x+3 make x the subject
4x = y - 3
x = (y-3)/4
help please! math volumes
Answer:
980.18 cm^3
Step-by-step explanation:
Volume of cylinder w/out spheres = pi r^2 h
= pi 8^2 *6
now subtract the volume of the TWO spheres
2 * 4/3 pi * 3^3
for result = 980.18 cm^3
A bag contains 3 red, 5 black, and 4 white marbles. What is the probability of picking a red marble, replacing it, and then picking a black marble?
Answer:
1/12 for red marbles
1/12 for black marbles
Step-by-step explanation:
reason why both 1/12 it because you picked a marble first and you brought it back, then you pick again
Please answer, much appreciated!!!! (will mark brainliest)
Given that the person chosen is an 11th grader, what is the probability that they walk or bike to school.
Answer:
Step-by-step explanation:
P(Walk or Bike)=[tex]\frac{72}{466} +\frac{90}{466}[/tex]
=[tex]\frac{81}{233}[/tex] = 0.347
7)
What is the average rate of
change for f (x) = -2% + 70 over the interval 2 = X = 6?
A)
-15
O0
-16
-30
D)
-32
Answer:
A
Step-by-step explanation:
Here [ a, b ] = [ 2, 6 ], thus
f(b) = f(6) = - + 70 = - 64 + 70 = 6
f(a) = f(2) = - 2² + 70 = - 4 + 70 = 66
average rate of change = = = - 15 → A
which expression shows 20+24 with 2 as a factor of each term
Answer:
2(10+12)Step-by-step explanation:
20+24
⇨2(10+12)
Therefore ⬇︎
2(10+12) is our expression with 2 as a factor for each term ツ
What is the period of the function graphed below?
Answer:
2 pi
Step-by-step explanation:
Period of the function graphed = 2π
What is period of function?The distance between the repetition of any function is called the period of the function. For a trigonometric function, the length of one complete cycle is called a period.
Given,
Graph of a function.
Period of the function = Distance between two peaks or two troughs in the graph
Period of the function = 2π - 0 = 3π - π = 2π
Hence, 2π is the period of the function graphed.
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geometry
help please
The angle m∠UVW can be found using angle of circumference rule in geometry. Therefore, m∠UVW = 67°
Angle on a circumferenceAn angle at the circumference of a circle is half the angle at the centre standing on the same arc.
In other words, the angle at the centre of a circle is twice the angle at the circumference.
Therefore,
m∠UVW = 134 / 2
m∠UVW = 67 degrees
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Type the correct answer in the box. Use numerals instead of words. Round your answer to the nearest cubic millimeter.
Answer:
10825 mm³
Step-by-step explanation:
Volume of cylinder shaped stack
V = πr²hV = 3.14 × (9.525)² x 38V = 119.32 x 90.725625V = 10825.3816 mm³V = 10825 mm³only question 14 but if u want u can answer question 14 and 15
Answer:
14 is 269000-2500=266500
Step-by-step explanation:
Identify the bases and faces, and then the name of the given figure.
pentagon; triangles; pentagonal pyramid
heptagon; triangles; heptagonal pyramid
pentagon; rectangles; pentagonal prism
heptagon; rectangles; heptagonal prism
Answer:
heptagon; rectangles; heptagonal prism
Step-by-step explanation:
Since the base is a heptagon (hepta- is seven sides), that gets rid of both the pentagon answers. Since the sides are all rectangles, that gets rid of the Heptagon and Triangles answer. :)
Please help me on this!
Answer:
B
Step-by-step explanation:
Answer choice A,C, and D are all linear based on their context. Answer choice B "doubles" resulting in an exponential function.
7 (5x-1) answer plss
Answer:
35x - 7
Step-by-step explanation:
7(5x - 1)
--> 7 x 5×
= 35x
--> 7 x -1
= -7
==> 35x - 1
Hope it helps :))
Answer:
35x - 7
Step-by-step explanation:
Q) 7(5x - 1) = ?
→ 7(5x - 1)
→ 35x - 7
So, the answer is 35x - 7.
Which number is an outlier for the given data?
23, 34, 27, 7, 30, 26, 28, 31, 34
options:
31
23
34
7
Answer:
i say 7
Step-by-step explanation:
Three of the angles of a quadrilateral are each 95º. Find the fourth angle.
Answer:
first angle is 95
second angle is 95
third angle is 95
the sum of angle in a quadrilateral is 360
therefore 95+95+95°=285
to get the fourth angle=360-285=75
therefore the fourth angle is 75°
5
X
40
9
Find the exact value of x.
x =
Since that is a right triangle, we can use pythagorean theorem.
[tex]c^2=a^2+b^2[/tex]
solve.
[tex]c^2=40^2+9^2\\\\c^2=1681\\\\\sqrt{c^2}=\sqrt{1681} \\\\c=41[/tex]
the value of x is 41
What is the slope of the line through the points (-2, -1) and (4, 3)?
Answer:
#2 option: [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]slope=\frac{rise}{run} =\frac{y^2-y^1}{x^2-x^1}[/tex]
[tex]\frac{3-(-1)}{4-(-2)}=\frac{-4}{-6} =\frac{-2}{-3} =\frac{2}{3}[/tex]
= [tex]\frac{2}{3}[/tex]
Determine the period.
Answer:
Step-by-step explanation:
we are being told that each square is one unit. so, look at peak to peak and count the units.
1,2,3,4,5,6,7
From peak to peak is 7 units, so the period is 7
Need help with this question
Answer:
D
Step-by-step explanation:
Factor
this is how is should be
x + 2 = 0
=> x = -2
x - 3 = 0
=> x = + 3
13 less than the product of 4 and a number n is 5
Answer:
(5 × 4) - 13 = 7
Step-by-step explanation:
Given that,
→ n = 5
Let's solve the problem,
→ x = n × 4
→ x = 5 × 4
→ [ x = 20 ]
Then 13 less than the product will be,
→ x - 13
→ 20 - 13 = 7
Therefore, the solution is 7.
Enter the value of n so that the expression 2/5x-1/2 is equivalent to n(4x-5)
Please Help!
[tex]~~~~~~~\dfrac 25 x - \dfrac 12= n(4x-5)\\\\\\ \implies \dfrac{4x}{10}- \dfrac{5}{10} = n(4x-5)\\\\\\\ \implies \dfrac 1{10}(4x-5) = n(4x-5)\\\\\\\implies n = \dfrac 1{10}~~~~~;\left[x \neq \dfrac 54 \right][/tex]
an 11 foot ladder is placed against the wall. the ladder is on ground level at an angle of 73.5° to the horizontal. about how far up the wall will the top of the ladder be
The 10.547 feet up the wall will the top of the ladder be if the 11-foot ladder is placed against the wall. The ladder is on ground level at an angle of 73.5° to the horizontal.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
Length of the ladder = 11 foot
The angle between ladder and horizontal = 73.5 degree
The height of the wall, the top of the ladder be(h):
From the sin ratio:
sin73.5 = h/11
h = 11sin73.5 = 10.547 feet
Thus, the 10.547 feet up the wall will the top of the ladder be if the 11-foot ladder is placed against the wall. The ladder is on ground level at an angle of 73.5° to the horizontal.
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This year, Seaside recycled 21,600 tons of material. If this amount increases by 9% each year, how much material will be recycled 7 years in the future?
If necessary, round your answer to the nearest tenth.
Answer:
39,485.67
Step-by-step explanation:
what is the probability of landing on green on the spinner?
Answer:
2/5
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
2 green / 8 total colors
2/8
Simplify to 1/4 of a chance
BRAINLIEST to the best answer with a good explanation!
Answer:
£15.10
x + 20
64 counters in the bag
Total money = £21.30
Step-by-step explanation:
20p = £0.20
50p = £0.50
100p = £1.00
Total value:
⇒ 8 × 20p + 5 × 50p + 11 × £1 = 8 × 20p + 5 × 50p + 11 × 100p
= 160p + 250p + 1100p
= 1510p
= £15.10
-----------------------------------------------------------------------------------------------------
20 more than x: x + 20
-----------------------------------------------------------------------------------------------------
If one quarter of the counters in a bag are yellow, and there are 16 yellow counters in the bag:
⇒ total number of counters in the bag = 16 × 4 = 64
-----------------------------------------------------------------------------------------------------
Let x = number of 20p coins
Let y = number of 50p coins
Let z = number pf £1.00 coins
Given:
20p coins are worth £2.80⇒ 0.20x = 2.80
⇒ x = 2.80 0.20
⇒ x = 14
Therefore, there are 14 twenty pence coins.
Given:
One third of the coins are 20p coinsWe have calculated that there are 14 twenty pence coins, therefore:
⇒ total number of coins = number of 20p × 3
= 14 × 3
= 42
As the total number of coins is 42:
⇒ x + y + z = 42
⇒ 14 + y + z = 42
⇒ y + z = 42 - 14
⇒ y + z = 28
Therefore, the total number of 50p and £1 coins is 28.
Given:
10 more 50p coins than £1 coins⇒ y = z + 10
Substitute y = z + 10 into y + z = 28 and solve for z:
⇒ (z + 10) + z = 28
⇒ 2z + 10 = 28
⇒ 2z = 18
⇒ z = 9
Therefore, there are 9 one pound coins
total number of coins:
⇒ x + y + z = 42
substituting the found values of x and z:
⇒ 14 + y + 9 = 42
⇒ 23 + y = 42
⇒ y = 19
Therefore, there are 19 fifty pence coins
20p coins = 14
50p coins = 19
£1 coins = 9
Therefore, total money:
= 14 × 20p + 19 × 50p + 9 × 100p
= 280p + 950p + 900p
= 2130p
= £21.30
A Girl Guide measured the angle of elevation to the top of a monument to be 59°. The height of the monument is 38.5 m. She
then walked 31.0 m farther away from the tower. Determine the angle of elevation to the top of the monument from her new
location, to the nearest tenth of a degree.
The angle of elevation is 35.4.
What is angle of elevation?The angle formed by the line of sight and the horizontal plane for an object above the horizontal.
tan D = AB/BD
tan D = 38.5/54.13
D = 35.4
Hence, the angle of elevation is 35.4.
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