[tex]\text{Solve for a:}\\\\p+q=2ab\\\\\text{Since we want to solve for a, it needs to be by itself}\\\\\text{To do this, we have to divide both sides by 2b}\\\\\frac{p+q}{2b}=a\\\\\text{Now since A it's by itself, that'll be your answer}\\\\\boxed{\frac{p+q}{2b}=a}[/tex]
HELP FAST ILL GIVE A DECENT AMOUNT OF POINTS! A cylindrical water tank with an open top has a volume of 3818m3 and a radius of 9 m. Calculate the height of the tank. Round your answer to the nearest whole number.
Answer:15m
Step-by-step explanation:
The volume of a cylinder= πr^2h
Radius=9m
Volume=3818
Height=?
3818=22/7 x 9^2 x h
26726=22 x 81 xh
26726=1782h
H = 14.9
Height= 15m
If there is something that is not clear, let me know
simplify 36x^2/64x^2y
Answer: 3/4
Step-by-step explanation:
1. square root the denominator and nominator, 36= 6 and 64= 8
2. put them together (6/8)
3. simplify 6/8
4. 6/8 divided by 2
5. 3/4 is your answer
Ansley’s age is 5 years younger than 3 times her cousin’s age. Ansley is 31 years old.
Let c represent Ansley’s cousin’s age. What expression, using c, represents Ansley’s age?
Answer: the correct answer is 3c-5
Step-by-step explanation: I just solved it
Note that the expression "3c - 5" represents Ansley's age, and if Ansley is 31 years old, her cousin's age (c) would be 12.
How to compute the aboveAccording to the given information, Ansley's age is 5 years younger than 3 times her cousin's age.
We can represent this mathematically as -
Ansley's age = 3 * Cousin's age - 5
Using the variable c to represent the cousin's age, the expression representing Ansley's age would be -
3c - 5
Thus , the expression "3c - 5" represents Ansley's age in terms of her cousin's age (c).
Learn more about expression at:
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cos X +1 / cos X=40, find the value of cos square X +1/ cos square X
This is pseudo-trig. It has a trig function but it's irrelevant.
Let y = cos X
y + 1/y = 40
Squaring,
y² + 2(y)(1/y) + 1/y² = 1600
y² + 2 + 1/y² = 1600
y² + 1/y² = 1598
cos² X + 1/cos²X = 1598
Answer: 1598
5^4=625 in log form pls.
Answer:4log5=4log5
Step-by-step explanation:
Take the log of both sides
log5^4 =log 625
By log log a^b=b loga
4log 5=log5^4
4log5 =4log 5
Expressions and equations can be written in logarithmic forms.
The logarithmic form of [tex]5^4 = 625[/tex] is [tex]\log_5(625) = 4[/tex]
The equation is given as:
[tex]5^4 = 625[/tex]
Take the logarithm of both sides of the equation
[tex]\log(5^4) = \log(625)[/tex]
Apply law of logarithm
[tex]4\log(5) = \log(625)[/tex]
Divide both sides of the equation by log(5)
[tex]4 = \frac{\log(625)}{\log(5)}[/tex]
Apply change of base law of logarithm
[tex]4 = \log_5(625)[/tex]
Rewrite the equation as follows:
[tex]\log_5(625) = 4[/tex]
Hence, the logarithmic form of [tex]5^4 = 625[/tex] is [tex]\log_5(625) = 4[/tex]
Read more about logarithms at:
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Using the following image, find the midpoint of the line by completing the problems below. The midpoint is what?
Answer:
1,1
Step-by-step explanation:
just a guess
The midpoint of the line segment AB is (1, 1).
We have,
To find the midpoint of a line segment with two given endpoints, we can use the midpoint formula.
The midpoint formula states that the coordinates of the midpoint (M) between two points (x₁, y₁) and (x₂, y₂) can be calculated as:
M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
Using the given endpoints:
A = (0, 4)
B = (2, -2)
We can substitute these values into the midpoint formula:
M = ((0 + 2) / 2, (4 + (-2)) / 2)
M = (2/2, 2/2)
M = (1, 1)
Therefore,
The midpoint of the line segment AB is (1, 1).
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What is the mid point of the segment shown below please help
You weigh six packages and find the weights to be 20, 12, 52, 16, 48, and 44 ounces. If you include a package that weighs 60 ounces, which will increase more, the median or the mean?
Answer:
median
Step-by-step explanation:
The first step is to sort the numbers from largest to smallest (you could go the other way as well).
60 52 48 44 20 16 12
The median is the middle number 44 in this case. The median has 3 numbers on its left and 3 on its right (in this case). 44 has 60 52 48 or its left and 20 16 and 12 on its right.
The mean is the average. We'll call it the new average
The mean is 60 + 52 + 48 + 44 + 20 + 16 + 12 = 252
The new mean is 252 / 7 = 36
=====================
The old median is the average between the middle 2 numbers (before you added 60 you had 6 numbers)
52 + 48 + 44 + 20 + 16 + 12 = the average of 44 + 20 which 64/2 = 32
The old mean was (52 + 48 + 44 + 20 + 16 + 12)/6 = 32.
=======================
The median increased from 44 to 32 = 12
The mean went from 32 to 36 which is 4
Answer: the median increased more
1/2 belongs to what family of real numbers
Answer:
1/2 belongs to the rational family of real numbers because it isn't an integer (..-1, 0, 1..) but it can be written as a fraction.
Answer:
rational numbers and real numbers
Step-by-step explanation:
Rational numbers is part of the real numbers family and so therefore it is also a real number.
Use synthetic division to determine whether the number k is an upper or lower bound (as specified) for the real zeros of the function f. k = -1; f(x) = 4x^3 - 2x^2 + 2x + 4; Lower bound? yes/no?
Answer:
Yes, k is lower bound for the real zeros of the function.
Step-by-step explanation:
Lower Bound Theorem:
If you divide a polynomial function f(x) by (x - k), where k < 0, using synthetic division and this yields alternating signs, then k is a lower bound to the real roots of the equation f(x) = 0.
Given;
4x³ - 2x² + 2x + 4
k = -1
synthetic division;
-1 ] 4 -2 2 4
↓ -4 6 -8
---------------------------------------------
4 -6 8 -4
(the result has alternating signs, hence k is lower bound)
Thus, k is lower bound for the real zeros of the function.
A number is chosen at random from the set of two digits numbers from 10 to 99 inclusive. what is the probability the number contains at least one digits 2?.
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
There are 99 - 10 + 1 = 90 numbers between 10 and 99
There are 18 numbers that have at least one two digit.
[tex]\frac{18}{90}=\frac{1}{5}[/tex]
a square rug has a perimeter of 64 cm. george says the side lenght of the square is 8cm . bob thinks it is 16cm. who is correct ?
Answer:
16 cm
Bob is correct
Step-by-step explanation:
Perimeter of a square = 4 × side’s length
Then
the side length = 64/4 = 16
Answer:
perimeter of square =4l
64/4cm=l
l=16cm
therefore
bob is correct.
The figure shows five points. A point has been translated right and up.
Based on the graph, which statements about the points could be true? Check all that apply.
1. Point D could be the image of B.
2. Point C could be the image of A.
3. Point E could be the image of C.
4. Point D could be the image of A.
5. Point E could be the image of B.
6. Point C could be the image of E.
Moving to the right and up, the only two points that could be placed in another point would be C or B
The answer would be 6. point C could be the image of E
Answer:
im confident the answer is A C E
Step-by-step explanation:
can someone help me to find TSA of this figure?
Answer :
is approximately 100 cm ²
Step -by-step explanation
[tex]r \: = 10 \\ l \: = 21.81 \\ T.S.A \: of a \: cone\: = \pi \times r(r + l)[/tex]
[tex] \frac{22}{7} \times 10(10 + 21.81) \\ \frac{22}{7} \times 10(31.81) \\ \frac{22}{7} \times 318.1[/tex]
[tex] \frac{22}{7} \times 318.1 \\ = 999.7 \\ = 100 {cm}^{2} [/tex]
I don’t know how to figure out the ratio of the areas. The area for HGEF is 60.5 (121/2) and the area for JKLM is 378.125 (3025/8). I know the areas are right because the previous questions says they are. Thank you so much!
Answer:
25 : 4
Step-by-step explanation:
Given 2 similar figures with ratio of sides = a : b , then
ratio of area = a² : b²
For the given figures the ratio of corresponding sides is
JK : EF = 20 : 8 = 5 : 2 , thus
ratio of areas = 5² : 2² = 25 : 4
Write down the value of 2jk - 10j when j = 9 and k = 2 Write down only the number, nothing else
Answer:
-54
Step-by-step explanation:
2jk - 10j
Let j = 9 and k=2
2*9*2 - 10 *9
36 - 90
-54
Can someone please explain what I did wrong here? Thank you!
Answer:
you didn't do anything wrong who ever said you did is stupid
The answer is attached.
What is the probability of a number less than 4 showing when a number cube is rolled?
Answer:
50 percent
Step-by-step explanation:
Answer: there is a 50% chance
Step-by-step explanation:
there are three numbers less than four on a number cube. 3/6 is equivalent to 1/2
A student takes his 2 dogs for a walk. He lets them off their leash in a field where Edison runs at 10 m/s and Einstein runs at 8 m/s. The student determines the angle between the dogs is 25°, how far are the dogs from each other in 5 seconds?
Answer:
The dogs are 21. 8 m from each other in 5 seconds
Step-by-step explanation:
Given;
speed of Edison, v = 10 m/s
speed of Einstein, u = 8 m/s
angle between the two dogs, θ = 25°
let the distance ran by Edison in 5 seconds = x = (10 m/s x 5 s) = 50 m
let the distance ran by Einstein in 5 seconds = y = (8 m/s x 5 s) = 40 m
let the distance between the two dogs after 5 seconds = z
x , y and z forms a triangle with an angle between x and y as θ
The third side, z, can be calculated using cosine rule
z² = x² + y² - 2xyCosθ
z² = 50² + 40² - (2 x 50 x 40)Cos25
z² = 4100 - 4000Cos25
z² = 474.7689
z = √474.7689
z = 21.789 m ≅ 21. 8 m
Therefore, the dogs are 21. 8 m from each other in 5 seconds
Simplify the expression below. (–7x + 4) – (2x – 8)
Answer:
- 9x + 12
Step-by-step explanation:
Given
(- 7x + 4) - (2x - 8) ← distribute parenthesis by 1 and - 1
= - 7x + 4 - 2x + 8 ← collect like terms
= - 9x + 12
A student was given 32 problems he did 1/4 of them on monday and 1/2 of them on tuesday. find the unsolved problem.. PLEASE HELP
Answer:
8 problems
Step-by-step explanation:
32 - 32*1/4 - 32*1/2= 32 - 8 - 16= 8 problems
Please help! Correct answer only!
Out of 250 tickets in a raffle, one ticket will win a $190 prize, one ticket will win a $120 prize, one ticket will win a $90 prize, and one ticket will win a $50 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
$____
Answer:
$1.80
Step-by-step explanation:
(190+120+90+50)/250= a total expected payoff of 1.8 dollars. Hope this helps!
A large rectangle is made up of 3 smaller identical rectangles, the perimeter of one small rectangle is 21cm. What is the perimeter of the large rectangle.
Answer:
63 units
Step-by-step explanation:
If the perimeter of 1/3 of the rectangle is 21, multiply 21 by 3 to find the perimeter of the entire rectangle.
21 x 3 = 63
Help!!! Which of the following best describes abc?
Answer:
Inscribed Angle (A)
Step-by-step explanation:
in geometry, an inscribed angle is the angle formed in the interior of a circle when two secant lines (or, in a degenerate case, when one secant line and one tangent line of that circle) intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.
In a survey of 150 people, 60 like cricket only 40 like football only
and 30 do not like them, by drawing Venn-diagram firid the number
of people who like both:
[tex]the \: answer \: is \: 20. \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Given the function f(x) = -5|x + 1|+ 3, for what values of x is f(x) = -12?
x = -2, x = -4
x = -2, x = 4
x = 2, x = -4
x = 2, x = 4
Answer:
x =2 x = -4
Step-by-step explanation:
-5|x + 1|+ 3 = -12
Subtract 3 from each side
-5|x + 1|+ 3-3 = -12 -3
-5|x + 1| = -15
Divide each side by -5
-5/-5|x + 1| = -15/-5
|x + 1| = 3
Since this is an absolute value, we have two solutions one positive and one negative
x+1 = 3 x+1 = -3
Subtract 1 from each side
x+1-1 = 3-1 x+1-1 = -3-1
x =2 x = -4
Answer:
the answer is c
Step-by-step explanation:
Choose the true statement.
-858
-8>8
-8= 8
the answer is 8=8
Step-by-step explanation:
it just is
Fong has 28$ he shares it between his two sisters in the ratio of 3:4 how many money does each sister get?
Answer:
One sister gets 12 and the other gets 16
Step-by-step explanation:
Sister A : sister B: total
3 4 3+4 =7
Take the total amount and divide by 7
28/7 = 4
Multiply each side by 4
Sister A : sister B: total
3 *4 4*4 7*4
12 16 28
can someone plz help
Answer:27/28
1/4+5/7
TakingLCM
7+20/28
27/28
Answer: 27/28
Step-by-step explanation:
1/4 + 5/7
= 7/28 + 20/28
= 27/28
solve the equation
x^2 + 4x - 7
By completing the square
give answer correct to two decimal places.
( p.s the answer is not -5.32 or 1.32 )
Answer:
x = 1.32, -5.32
Step-by-step explanation:
x^2 + 4x - 7
Set equal to zero
x^2 + 4x - 7 =0
Add 7 to each side
x^2 + 4x =7
Take the coefficient of x and divide by 2
4/2
Square it
2^2 =4
Add to each side
x^2+4x+4 = 7+4
(x+2)^2 = 11
Take the square root of each side
x+2 = ±sqrt(11)
Subtract 2 from each side
x = -2 ±sqrt(11)
x=1.31662
x=-5.31662
To 2 decimal places
x = 1.32, -5.32