The values of a and b in the sytem of equation are 12 and 9 respectively.
How to find the variables(a and b) in the sytem of equation?b = 3 / 4 a
a + b = 21
Therefore, let's substitute b in equation(ii)
a + b = 21
a + 3 / 4 a = 21
4a + 3a / 4 = 21
7a / 4 = 21
cross multiply
7a = 21 × 4
7a = 84
divide both sides by 7
a = 84 / 7
a = 12
b = 3 / 4 a
b = 3 / 4 × 12
b = 36 / 4
b = 9
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find the root of 6x^2+13×+6=0 using graphical method of quadratic equation
Answer....
Ok done. Thank to me >:33
Help pls use π = 3.14 and round your answer to the nearest hundredth
The volume of a sphere with a radius of 4 feet, to the nearest hundredth is: 268.08 cubic feet.
What is the Volume of a Sphere?Volume of a sphere, where r is the radius of the sphere, is determined using the formula, V = 4/3 × π × r³.
Given the radius of the sphere is 4 feet
Volume of the sphere = 4/3 × π × r³ = 4/3 × 3.14 × 4³
Volume of the sphere = 268.08 ft³
Therefore, the volume of a sphere with a radius of 4 feet, to the nearest hundredth is: 268.08 cubic feet.
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An antibiotic kills 60% of bacteria in a sample of 100,000 each day. The equation P2 - 100,000(0.4) represents the
population, Pı, after d days. Four days after introducing the antibiotic to the first sample, a scientist introduces the same
antibiotic to a second population, P2. The number of bacteria after d days in the second population is represented by the
equation P2 = 100,000(04) 0-4. Which equation is equivalent to pz?
а
O P2 - 2,560(0.4)
O P2 - 99,744(0.4)
O 02 - 100,256(0.4)
O P2 - 3,906,250(0.4)
The expression P2 = 100000(0.4)^(d - 4) is an illustration of an exponential expression
The equivalent expression of P2 = 100000(0.4)^(d - 4) is P2 = 3906250(0.4)^d
How to determine the equivalent equation?The equation is given as:
P2 = 100000(0.4)^(d - 4)
Apply the law on indices on the expression.
P2 = 100000(0.4)^d * 1/0.4^4
Rewrite as:
P2 = 1/0.4^4 * 100000(0.4)^d
Evaluate the exponent
P2 = 39.0625 * 100000(0.4)^d
Evaluate the product
P2 = 3906250(0.4)^d
Hence, the equivalent expression of P2 = 100000(0.4)^(d - 4) is P2 = 3906250(0.4)^d
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Answer:
D
Step-by-step explanation:
If y = -5 when x = 2, find y when x = 8.
Answer:
Y= -20
Step-by-step explanation:
if y=-5 when x=2 find y when x=8
8 /2 = 4
=> x = 2 * 4 => x = 8 Answer
y = -5 * 4 =>
y= -20
Is this correct?!? Please tell me
Step-by-step explanation:
It is a 5th degree binomial. The highest exponetial power of the polynomial is 5, therefore we are dealing with a 5th degree polynomial. "Polynomial" is a general term. Trinomial and binomial categorize it even more by the number of terms the polynomial has. There are two terms, so we are dealing with a binomial. The prefix bi means "two"
Answer:
Binomial with degree 5
Step-by-step explanation:
The polynomial 3x⁵ + 3 is a binomial with degree 5.
Why?
This option is correct because:
3x⁵ + 3 has two terms & hence is a binomial.Also, the highest exponential power in this polynomial is 5 & hence it's degree is also 5.[tex]\rule{150pt}{2pt}[/tex]
Easy geometry need help tho.......25pts
Answer:
22 in.
Step-by-step explanation:
total volume= big thingy + long thingy
=>x=2.2.3+5.2=12+10=22
Please answer My Question.
Answer:
how many brothers do you have?
What is the answer to this?
Answer:
-8
Step-by-step explanation:
[tex]\ \ \ \ \ \ \dfrac{-9 -7}{2} \\\\\\= \ \ \ \dfrac{-16}{2} \\\\\\= \ \ \dfrac{-(2^{4} )}{2^{1} } \\\\\\= \ \ -(2^{4 - 1}) \\\\\\ = \ \ -(2^{3})\\\\\\= \ \ - (2 \times 2 \times 2) \\\\\\= \ \boxed{-8}[/tex]
Answer:
-8
Step-by-step explanation:
If a city with a population of 52,000 doubles in size every 97 years, what will the population be 291 years from now?
Answer:
156,000
Step-by-step explanation:
291 divided by 97 is 3. 52,000 x 3 = 156,000.
Population will be 6 times of present population in 291 years.
What is the population of a city ?The number of people in the city at a particular time is called population of the city.
How to find the required population ?Present population of the city = 52000
According to the problem, Population doubles in size in every 97 years.
After 97 years, the population = Double of present population
= 2 × 52000 = 104000
Population in 97 years = 104000
Population in 1 year = [tex]\frac{104000}{97}[/tex]
So, population in 291 years = [tex]\frac{104000}{97}[/tex]× 291 = 104000×3 = 312000
Population in 291 years from now = [tex]\frac{312000}{52000}[/tex] = 6 times
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#SPJ2
Which expression is equivalent
Answer:
it should be A i think
Step-by-step explanation:
i used a calculator
3 X-5y= -3
3x-5y=11
please show work
what is the opposite of -3.4
Answer:
3.4
Step-by-step explanation:
The opposite of a number is the same as the additive inverse of the number.
Two numbers are opposites, or additive inverses, if they add to zero.
For a positive or a negative number, just change its sign to find its opposite. For zero, its additive inverse is zero.
The opposite of -3.4 is 3.4.
Answer: 3.4
The opposite of a positive number is a negative number.
The opposite of a negative number is a positive number.
-3.4 is a negative number, so its opposite is a positive number.
Hence, the answer is 3.4
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
what is the slope of the line passing through the points (2,5) and (-1,-4)
Answer:
m=y2-y1/x2-x1
=-4-5/-1-2
=-9/-3
=-3
30jk in expanded form ????
Answer:
Step-by-step explanation:
The expanded form of 30 is 30+ 0. 2. How can write a 30 number in expanded fraction form? In the expanded fraction form, you can write 30 as (3 x 10) + (0 x 1).
The solid below is made from cubes.
Find its volume.
Answer:
36 yd^3
Step-by-step explanation:
6*2*3
Consider the polynomial -2a^3b^2+5ab^5+7b^4+8 Write the degree of this polynomial, its leading term, its leading coefficient, and its constant term.
Answers:
Degree = 6Leading term = 5ab^5Leading coefficient = 5Constant term = 8=====================================================
Explanation:
When we have multivariable terms like this, we add up the exponents for each monomial separately.
The first term -2a^3b^2 has its exponents add to 3+2 = 5The second term 5ab^5, aka 5a^1b^5, has the exponents add to 1+5 = 6The third term can be thought of as 7a^0b^4, so its exponents add to 0+4 = 4The last term 8 is really 8a^0b^0, and its exponent sum is 0The degree of this entire multivariable polynomial is the largest sum calculated in the list above. That sum being 6. Therefore, the degree of the polynomial is 6.
----------------------
From that we can circle the leading term 5ab^5 since the leading term is always the one with the largest exponent sum (aka degree). The current polynomial as written is not standard form. It should be this:
5ab^5 - 2a^3b^2 + 7b^4 + 8
Notice how the exponent sums decrease when going from left to right. The largest sum is always listed first. Hence the "leading" aspect of "leading term".
-------------------------
The leading coefficient is the coefficient of the leading term.
The coefficient of 5ab^5 is 5. More specifically, it's the first "5" mentioned. As another example, the coefficient of 7ab^5 would be 7.
The leading coefficient is 5
-------------------------
The constant is the term without any variables attached to it. It stays the same number the entire time.
The constant term is 8
The scatter plot below shows the average points scored per game by players of different ages in an adult basketball league.
The statement that describes the association between a player's age, and the average points is: C. There is a positive linear association and one outlier.
Linear association and outlierThe scatter plot shows a positive linear relationship because the points shown on the scatter plot closely look like a straight line.
We able to identify only one outlier based on the regression line because their is a distance between the point and the regression line.
Therefore there is a positive linear association and one outlier.
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https://brainly.com/question/2749543
Can someone help me please!!?
Answer:
AB=21
Step-by-step explanation:
14 is to (14 +12) as AB is to (AB + 18)
14 / 26 = AB / (AB+18) <===== cross multiply
14 (AB + 18) = 26 AB
AB = 21
Your local firefighters are having a fundraiser by selling tickets to an all you can eat pancake extravaganza. A child's ticket cost $6.50 each and an adult's ticket cost $8.50 each. They sell a total of 350 tickets and raise a total of $2695. How many children's tickets were sold?
Please Help!!
Answer:
140 child tickets were sold
Step-by-step explanation:
a = number of adult tickets
c = number of child tickets
a+c = 350
6.50 c + 8.50a = 2695
Multiply the first equation by -8.50 together
-8.50c -8.50c =-2975
Add this to the second equation to eliminate a
-8.50c -8.50c =-2975
6.50 c + 8.50a = 2695
---------------------------------
-2c + 0a = -280
Divide by -2
-2c/-2 = -280/-2
c = 140
Write these as 24-hour clock times.
A- 6:05am
B- 11:20pm
C- 12 noon
D- 10:18pm
=0605hrs
B- 11:20pm= 2320hrs
C- 12 noon= 1200hrs
D- 10:18pm= 2218hrs
have a nice day!
a. 06 05
b. 23 20
c. 12 00
d. 22 18
Question below! :)
Brainliest!
The angle shown is less than 90 degrees so it is an acute angle.
answer: acute
Is the number -243 an integer?
Answer:
yes
Step-by-step explanation:
Yes it is because it is a whole number and rational
Please mark this as brainliest and I hope this helps you
i cant figure this problem can you guys help/
Answer:
r = 6.998 in
D = 13.996 in
C = 43.9697 in
Step-by-step explanation:
Area = π[tex]r^2[/tex]
153.86 = π[tex]r^2[/tex]
153.86/π = [tex]r^2[/tex]
sq root(153.86/π) = r ≈ 6.998 in
Diameter = 2r
D = 2(6.998) = 13.996 in
Circumference = 2πr
C = 2π(6.998)
C = 13.996π ≈ 43.9697 in
Hope this helps!
CHOOSING BRAINLIEST
A counselor determined that 60% of the senior class had taken a precalculus course and that 15% of the senior class had taken both a precalculus course and a statistics course?
What percentage of seniors who took a precalculus course also took a statistics course?
Using conditional probability, it is found that 25% of seniors who took a precalculus course also took a statistics course.
What is Conditional Probability?Conditional probability is the probability of one event happening, considering a previous event. The formula 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 problem, the events are:
Event A: Senior student took a precalculus course.Event B: Senior student took a statistics course.The probabilities given are [tex]P(A) = 0.6, P(A \cap B) = 0.15[/tex].
The desired probability is P(B|A), hence:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.6} = 0.25[/tex]
0.25 = 25% of seniors who took a precalculus course also took a statistics course.
More can be learned about conditional probability at https://brainly.com/question/14398287
Find a unit vector u with the same direction as x =<40,9>.
Answer:
[tex]< \frac{40}{49} , \frac{9}{49} >[/tex]
Step-by-step explanation:
They have the same directionUpon cancelling the denominators, they give :< 40, 9 >Therefore, they have the same denominatorWhat do you think scalene means ?
Answer:
When you have a scalene triangle, the angles are less than 90 degrees, same as obtuse where the angles are bigger than 90 degrees.
35 is 25% of_. Do not round your answer.
Answer:
140
Step-by-step explanation:
We already have our first value 35 and the second value 25. Let's assume the unknown value is Y which answer we will find out.
As we have all the required values we need, Now we can put them in a simple mathematical formula as below:
35 = 25% × Y
35 = 25/100 × Y
Multiplying both sides by 100 and dividing both sides of the equation by 25 we will arrive at:
Y = 35 × 100/25
Y = (35 × 100)/25
Y = 140
Finally, we have found the value of Y which is 140 and that is our answer.
Hope this is a better break down than before!
Answer:
140
Step-by-step explanation:
You can think of this as 35 = 25% of x.
25% = 0.25, so 35 = 0.25x.
You can multiply by 4 on each side to get
140 = 4(0.25)x which simplifies to
140 = x
sec x * cos x =
How do I solve this:/
Answer: [tex]cot(x)[/tex]
Step-by-step explanation:
Secant is defined as the inverse of sine. Mathematically:
[tex]secant=\frac{1}{sine}[/tex]
Therefore, rewriting the intial equation, you get:
[tex]sec(x)cos(x)=\frac{cos(x)}{sin(x)}[/tex]
This might seem random, but you should know that tangent is defined as:
[tex]tangent=\frac{sine}{cosine}[/tex]
Our answer is the inverse of tangent. The inverse of tangent is the definition of cotangent:
[tex]\frac{cos(x)}{sin(x)}=cot(x)[/tex]
helppp ASAP *75 POINTS*
C = ( not given in the figure )
D = 8 cmarea of triangular prism:
( perimeter x length ) + base x height( 6 + 8 + 10 ) * 2 + 8 * 696 cm²Answer:
Step-by-step explanation:
A = 10 cm
B = 8 cm {base of the triangle}
C = 2 cm
D = 6 cm {height of the triangle}
Area of the triangular prism = (A + B + D)*C + base * height
= (10 + 8 + 6)*2 + 8*6
= 24*2 + 48
= 48 + 48
= 96 cm²
The expression (x^22) (x^7)^3 is equivalent to x^p what is the value of p?
Answer:
p = 43
Step-by-step explanation:
(x²²)(x⁷)³
first, multiply the power of 7 times the power of 3
(x⁷)³ = x⁷ ° ³ = x²¹
second, add the power of (x²²) with (x²¹)
x²² ⁺ ²¹ = x⁴³
therefore, the value of p = 43
I hope this helps!