Answer:
Capacity of tank = 44,000 l
Step-by-step explanation:
Given:
Height of tank = 3.5 m
Radius = 2 m
Find:
Capacity of tank
Computation:
Volume of cylinder = πr²h
Volume of cylinder = (22/7)(2)²(3.5)
Volume of cylinder = 44 m³
1m³ = 1000 l
So,
Capacity of tank = 44 x 1,000
Capacity of tank = 44,000 l
Last year, Ahmad opened an investment account with $5400. At the end of the year, the amount in the account had increased by 7.5%. How much is this
increase in dollars? How much money was in his account at the end of last year?
Answer:
Step-by-step explanation:
The increase was
5400(0.075)=$405
The money in the account was
5400+405=$5805
Rewrite this expression is a different form 9a - 2(a - 3)
Distributive Property Distribute Denominator to 9a and -3
You Get 9a/3 -3/3
Nvm did this wrong
Assume that each child who is born is equally likely to be a boy or a girl.
If a family has two children, what is the probability that both are girls given that (a) the eldest is a girl, (b) at least one is a girl?
Answer:
b
Step-by-step explanation:
you see is equal it means that on might likely to be a boy
A vertical parabolic sag curve has a grade of -0.4% followed by a grade of 2% intersecting at station 12 150.60 at elevation 124.80 m above sea level. The change of grade of the sag curve is restricted to 0.6%. (a) Compute the length of the curve (b) Compute the elevation of the lowest point of the curve (c) Compute the elevation at Sta. 12 125.60
Answer:
a) 400 meters
b) 67 meters
c) 124.790 meters
Step-by-step explanation:
Given data :
g1 = - 0.4 %
g2 = +2 %
change of grade of sag curve ( a ) = 0.6 %
Elevation of PVI ( h2 ) = 124.80 m
a) compute the length of the curve using the relation below
a = [tex]\frac{g2-g1}{L}[/tex] . hence ; L = ( g2 - g1 ) / a
L = ( 2 -(-0.4 ) / 0.6
= 2.4 / 0.6 = 4
= 400 meters
b) compute the elevation of the lowest point of the curve
slope of the vertical curve = 0
0 = 2ax l + b
= 2( [tex]\frac{g2-g1}{L}[/tex] ) x + g1
∴ x = [tex]\frac{-g1L}{(g2-g1)}[/tex] = ( 0.4 * 4 ) / ( 2 + 0.4 ) = 1.6 / 2.4 = 0.67 stations
therefore x ( elevation of the lowest point ) = 67 meters
C) compute the elevation at Sta. 12 + 125.60
Given that the rate of change of elevation is the same at all points
= [tex]\frac{h2 - h1 }{PVI -P0}[/tex] = 0.4 -------- ( 1 )
where h2 = 124.80
h1 = ? ( elevation of p0 ) at 12 + 125.60
PVI = 12 + 150.06
p0 = 12 + 125.60
back to the above equation
- h1 = 0.4 ( PVI - P0 ) - h2
= 0.4 ( 12.150 - 12.1256 ) - 124.80
-h1 = -124.790
hence h1 = 124.790 m
Bonnie deposits 70.00 into a saving account
the account earns 4.5% simple interest per year
No money is added or removed from the savings account for 3 years
What is the total amount of money in her savings account at the end of the three years
ANSWER:
The total amount of money at the end of three years is $79.45.
PLEASE HELP WILL GIVE BRAINLIEST - 60 POINTS
Slope and the properties of perpendicular and parallel lines can be used to confirm that a polygon is a specific type of quadrilateral.
What types of quadrilaterals can you determine by using these properties? List at least two types of quadrilaterals.
Choose one type of quadrilateral from your answer to Question 1. Explain in complete sentences how you can use properties of perpendicular and parallel lines, together with slope, to confirm that a given polygon is the type of quadrilateral you chose. Be sure to clearly state the properties that you need to use.
Answer:
You can use those properties to confirm parallelogram , rectangle, square, rhombus, trapezoid
To confirm the parallelogram you need to verify the pairs of sides are parallel by confirming same slopes.
To confirm the square you need to verify the sides are perpendicular, also the diagonals are perpendicular. The slopes of perpendicular lines are negative-reciprocal.
To confirm the trapezoid you just need to confirm one pair of sides are parallel, with same slope.
Find the surface area of the figure.
Answer:
152 cm²
Step-by-step explanation:
2x5x3=30
2x6x3=36
5x6=30
2x2.5x6=30
2x6=12
(2+5)/2=3.5x2=7x2=14
30+36+30+30+12+14=152
Pls help, i will give brainliest:
Consider the graphs which summarize the data on the number of hours per week of television viewing by two groups: 12-17 year-old Girls and 12-17 year-old Boys. Choose all that are correct.
The median for the girls is 16.
The median for the boys is 22.
The interquartile range for the girls is 28
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Answer:
a,b,e
Step-by-step explanation:
Answer:
B, D, E
OR
The median for the boys is 22
The interquartile range for the boys is 16
The difference between the medians as a multiple of the IQR is 1/4
Step-by-step explanation:
I just did it and got it right
Please help me thank u!
Answer:
Step-by-step explanation: x is our missing length
c^2=a^2+b^2
where c is the hypotenuse
28^2=24^2+x
x^2=28^2-24^2=784-576=208
x=[tex]\sqrt{208}[/tex]=14.4
What value from the set {5, 8, 21, 33} makes x - y = 2^3 true if y = 13?
How many ways can 13 students line up for lunch?
Answer:
There are 6,227,020,800 different ways to order the 13 people.
In the diagram EF is the bisector of <DEF = m < D' EF.
The triangle congruence criteria that can be used to prove that DEF and D'EF are congruent is _______.
hii! i just wanted to say hope you're having a fantastic day and hope that things are going well (: stay strong and stay safe!
The triangle congruence criteria that can be used to prove that DEF and D'EF are congruent is the SAS rule.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
The SAS rule states that "If two sides and the included angle of one triangle are equal to corresponding two sides and included angle of another triangle, then the triangles are congruent"
From ΔDEF and ΔD'EF
DE = D'E
m∠DEF = m∠D'EF
EF = EF
ΔDEF ≈ ΔD'EF
Thus,
The triangle congruence criteria that can be used is the SAS rule.
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Which equation is correct?
sin hº = Z/X
sin hº = X/Z
cos hº = Z/X
cos hº = X/Z
Answer:
cos h° = x/z
Step-by-step explanation:
SOH CAH TOA
look at the picture for the question 10 points will mark brainilest
Answer:
you want to have an answer to the question do you, i wish i could help but im only here for my answers
Step-by-step explanation:
sorry
Answer:
B
Step-by-step explanation:
accidentally commented
Pls Answer correctly and I’ll give you the brainliest
Answer:
y= -4
Step-by-step explanation:
Answer:
(y = 4 x + 7) This would be x= 4/y-7
(y = -3x - 21) This would be x=y/3 or simplified as -7
1. Simplify 3 + 5[5 + (7 - 3) - 32]
Answer:
48
step by step explanation:3+5(5+(7-3)-32)
8(12-2)-32
96-16-32
80-32
48
Evaluate: x + (x2 - xy) - y
if x = 5 and y = 4
When x = 5 and y = 4, the expression [tex]x + (x^2 - xy) - y[/tex] evaluates to 6.
To evaluate the expression [tex]x + (x^2 - xy) - y[/tex] when x = 5 and y = 4, we substitute the given values into the expression and perform the
calculations:
[tex]x + (x^2 - xy) - y\\x= 5 + (5^2 - 5*4) - 4\\x= 5 + (25 - 20) - 4\\x= 5 + 5 - 4\\x= 10 - 4\\x= 6\\[/tex]
It's crucial to remember that the expression in question is not an equation that represents a graph, nevertheless. It is merely an algebraic expression that, given the values of "x" and "y," evaluates to a single value. We need an equation that connects 'x' and 'y' and specifies the relationship between them if we are to construct a graph.
Therefore, when x = 5 and y = 4, the expression [tex]x + (x^2 - xy) - y[/tex] evaluates to 6.
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Correct Question is:
Evaluate: [tex]x + (x^2 - xy) - y[/tex] if x = 5 and y = 4.
assume that the weight of ripe watermelons grown at a particular farm are normally distributed witha mean of 20 pounds and a standard deviation of 1.4 pounds. determine the percent of watermelons that weigh between 18.48 pounds and 22.68 pounds
Answer:
The answer is "78.25%"
Step-by-step explanation:
Given:
[tex]\mu =20\\\\\sigma=1.4[/tex]
[tex]p(18.48<x<22.63)=p(\frac{18.48-20}{1.7}<\frac{\bar{x}-\mu}{\sigma}<\frac{22.63-20}{1.4})\\\\[/tex]
[tex]=p(\frac{-1.52}{1.7}<Z<\frac{2.63}{1.4})\\\\=p(-0.89<Z<1.87)\\\\[/tex]
[tex]=p(Z<1.87)-p(Z<-0.89)\\\\[/tex]
[tex]=0.969258-0.1867329\\\\=0.7825251\\\\=78.25 \%[/tex]
A hyperbola centered at the origin has a vertex at (3, 0) and a focus of the hyperbola is located at (9,0). What are
the equations of the directrices?
x = +
Answer:
Step-by-step explanation:
x²/a² - y²/b² = 1
center (0,0)
vertex (3,0), so a = 3
focus (9,0)
e = 9/a = 3
directrices: x = ±a/e = ±1
The equations of the directrices with a vertex at (3, 0) and a focus of the hyperbola located at (9, 0) is x = ±1.
What is the general equation of hyperbola?The general equation of the hyperbola is in the form of
x²/a² - y²/b² = 1
We have been given center (0,0)
vertex (3,0),
so a = 3
focus (9,0)
So, e = 9/a = 3
The equation of directrices:
x = ±a/e = ±1
Hence, The equations of the directrices with a vertex at (3, 0) and a focus of the hyperbola located at (9, 0) is x = ±1.
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Plzzz help me I am
Timed!
Answer:
c
Step-by-step explanation:
structure with a square or triangular base and sloping sides that meet in a point at the top
Help ASAP please I would love to recieve it right away
Answer:
Step-by-step explanation:
LJ/32=13/7 multiplying each side by 32
LJ=32(13)/7
LJ=416/7
LJ=59.4
Hassan sells fruits and vegetables at the marketThe mass of fruit and vegetables are in the ratio.
Fruit: vegetables = 5:7
If Hassan sells 1.33 tones of vegetables
then how many kilograms of fruits did he sell?
Answer:
950 kilograms
Step-by-step explanation:
Fruit: vegetables = 5:7
Fruit = 5
Vegetable = 7
Total ratio = 5 + 7 = 12
If Hassan sells 1.33 tones of vegetables
1 tonne = 1000 kilograms
1.33 tonnes of vegetables = 1330 Kilograms of vegetables
how many kilograms of fruits did he sell?
Let kilograms of fruits sold = x
Fruit: vegetables = 5:7
Fruit: vegetables = x : 1330
5 : 7 = x : 1330
5/7 = x/1330
Cross product
5 * 1330 = 7 * x
6,650 = 7x
x = 6,650/7
x = 950 kilograms
kilograms of fruits sold = 950 kilograms
Which of these is an exponential parent function?
A. f(x) = x
B. f(x) = x
C. f(x) = 2x
D. f(x) = 1x1
SMIT
Option B is correct, f(x) = 2ˣ is an exponential parent function.
What is a function?A relation is a function if it has only One y-value for each x-value.
The exponential parent function is of the form:
f(x) = aˣ
where a is a positive constant (the base of the exponential function).
Among the given options, the exponential parent function is,
⇒ f(x) = 2ˣ,
Because it has the form of an exponential function, where the base is 2.
f(x) = x is a linear function, not an exponential function.
f(x) = |x| is an absolute value function, not an exponential function.
f(x) = x² is a quadratic function, not an exponential function.
Hence, f(x) = 2ˣ is an exponential parent function, Option B is correct.
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Work out the size of angle A.
11 cm
9 cm
38°
Answer:
38° because the other two are cm? also you haven't linked a photo so I can't work out angle A
Simplify (3 + 6i) – (8 - 5i)
Select one:
a, -5 + i
b. 6
C. 16
d. -5 + 11i
Answer:
−5+11i
Step-by-step explanation:
(3+6i)−(8−5i)
Subtract 8−5i from 3+6i by subtracting the corresponding real and imaginary parts.
3−8+(6−(−5))i
Subtract 8 from 3. Subtract −5 from 6.
−5+11i
Step-by-step explanation:
I hope this helps. The answer is D.
A plane flies 545 kilometers with a bearing of 316° from Naples to Elgin (see figure). The plane then flies 680 kilometers from Elgin to Canton (Canton is due west of Naples). Find the bearing of the flight from Elgin to Canton. (Round to the nearest whole number.)
Answer:
What topic is this and which grade are u in?
What is the value of t
HELP
Answer:
t = 8°
Step-by-step explanation:
We know that the sum of all the angles in a triangle is equal to 180°
Let's set up our equation => 18t + 36 = 180
Subtract 36 from both sides
18t = 144
t = 8
Thus, we have our answer
Question Help About 6% of the population of a large country is hopelessly romantic. If two people are randomly selected, what is the probability both are hopelessly romantic? What is the probability at least one is hopelessly romantic? Assume the events are independent. (a) The probability that both will be hopelessly romantic is (Round to four decimal places as needed.)
Answer:
0.0144
Step-by-step explanation:
Answer:
Step-by-step explanation:
Both
P(both) = 6/100 * 6/100 = 36/10000 = 0.0036
At Least one
Just One
94/100 * 6/100 = 564/10000 = 0.0564
Both 0.0036
Total 0.06
does anyone know the answer to this? 5x-(4+3x)
Answer:
2x-4
Step-by-step explanation:
5x-(4+3x)
5x-4-3x
5x-3x-4
2x-4
People with albinism have little pigment in their skin, hair, and eyes. The gene that governs albinism has two forms (called alleles), which we denote by a and A. Each person has a pair of these genes, one inherited from each parent. A child inherits one of each parent's two alleles independently with probability 0.5. Albinism is a recessive trait, so a person is albino only if the inherited pair is aa.
a. Beth’s parents are not albino, but she has an albino brother. This implies that both of Beth’s parts have type Aa. Why?b. Which of the type aa, Aa, AA could a child of Beth’s parents have? What is the probability of each type?c. Beth is not albino. What are the conditional probabilities for Beth’s possible genetic types, given this fact?
Answer:
a)
If Beth’s parents are not albino, but she has an albino brother (aa), then each parent must have the allele a. In order for someone who is not albino to be able to have an albino child of albinism, they must have type Aa.
b)
P(AA) = 0.5(0.5) = 1/4 CHANCE
P(Aa) = 0.5(0.5) = 1/4 CHANCE
P(aa) = 0.5(0.5) = 1/4 CHANCE
c)
the new probabilities are:
P(AA | not aa) = 1/3
P(Aa | not aa) = 2/3
Step-by-step explanation:
Given the data in the question;
a) Beth’s parents are not albino, but she has an albino brother. This implies that both of Beth’s parts have type Aa. Why?
If Beth’s parents are not albino, but she has an albino brother (aa), then each parent must have the allele a. In order for someone who is not albino to be able to have an albino child of albinism, they must have type Aa.
To be fully albino you must be aa and must also have at least one a as well as have a child with someone who also has has at least a.
b) Which of the type aa, Aa, AA could a child of Beth’s parents have? What is the probability of each type?
A a
A AA Aa
a aA aa
so, Since each type is equally likely, and each is inherited independently of each other then,
P(AA) = 0.5(0.5) = 1/4 CHANCE
P(Aa) = 0.5(0.5) = 1/4 CHANCE
P(aa) = 0.5(0.5) = 1/4 CHANCE
c) Beth is not albino. What are the conditional probabilities for Beth’s possible genetic types, given this fact?
First we rule out aa, since Beth is not an Albino.
the new probabilities are:
P(AA | not aa) = 1/3
P(Aa | not aa) = 2/3
