Answer:3
Step-by-step explanation:
8x3+1=25
25÷25/3
25×3/25
=3
Find the circumference of the circle
Answer:
C
Step-by-step explanation:
the circumference of a circle is
2×pi×r
r being the radius, which is half of the diameter.
in our case
r = 18/2 = 9 mm
so, the circumference is
2×3.14×9 = 18×3.14 = 56.52 mm
ochala bought a music system on hire purchase. He paid a total of sh 5,200 .if he started by paying a deposit of sh 2,300 for how many months did he pay the remaining money if each monthly installment was sh 2,900
There are 8 bags of yellow and green balloons. Each bag contains 7 balloons. How many total balloons are there? There are 56 total balloons. Nice! If there are 30 yellow balloons, how many green balloons are there?
Answer:
26 green balloons
Step-by-step explanation:
56-30 = 26 green balloons
The total number of balloons is 56. And the number of green balloons will be 26.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
There are 8 sacks of yellow and green inflatables. Each sack contains 7 inflatables. The total number of balloons will be given as,
⇒ 8 x 7
⇒ 56
If there are 30 yellow balloons. Then the number of green balloons will be calculated as,
⇒ 56 - 30
⇒ 26
The total number of balloons is 56. And the number of green balloons will be 26.
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Weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of $50. Find the probability that a worker selected at random makes between $450 and $500.
Answer:
13.5
Step-by-step explanation:
Acellus
PLEASE HELP ! me last question
Answer:
So sorry but I have no idea, also have a great weekend!
What are all the real zeros of the
function
y = −3(x + 1)³ + 9?
Answer:
∛3 - 1 which is 0.44 to the nearest hundredth.
Step-by-step explanation:
−3(x + 1)³ + 9 = 0
(x + 1)³ = -9/-3
(x + 1)³ = 3
x + 1 = ∛3
x = ∛3 - 1
= 0.44225
The cube root of 3 is positive, no negative real roots are possible.
Two numbers are co-prime if they do not have any prime factors in common.
List all possible numbers that are co-primes with the following numbers that are < 50:
(a) 390
(b) 210
(c) 49335
On solving the provided question, we can say that Here, 21 and 22 only share a single element, which is 1. Since they are co-prime factor, their HCF equals 1.
what is prime factor?Any natural number other than 1 with just itself and the number 1 as its divisors is considered a prime factor. Actually, 2, 3, 5, 7, 11, and so on are some of the first prime numbers. an amount that has been multiplied to produce another amount. By dividing 15 by 3 and 5, for instance, we get 3 5 = 15. main elements: Prime factors include all factors that are prime but are not composite. A few prime factors of 30 are 2, 3, and 5. Only 2 and 3 are prime factors of 12, so listing 2 twice as 2 2 3 (or 22 3) is necessary to factorize 12. The sum of 2 + 3 is not 12.
21 and 22:
1, 3, 7, and 21 are the factors of 21.
1, 2, 11, and 22 are the factors of 22.
Here, 21 and 22 only share a single element, which is 1. Since they are co-prime, their HCF equals 1.
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What is the area of the triangle bounded by the line 3x+2y=12 and the x- and y- axes?
Answer:
12
Step-by-step explanation:
If x=0, then the y axis is 6
If y=0, then the x axis is 4
The base is 4 and the height is 6
4 x 6 / 2 = 12
sally sweeps 20 floors in 4 hours , at the same rate , how many floors can sally sweep in 6 hours ?
Answer:
35 Floors in 6 Hours
Step-by-step explanation:
20 / 4 = X Floors Per Hour
floors per hour = 5
6*5 = 35 Floors
x 2 - 9 x 2 8x 15 when reduced to lowest terms? a. x - 3 x 5 b. x - 3 x - 5 c. x 3 x 5 d. x 3 x - 5 2. which expression is equivalent to a 2 - 25 a 2 a 3a - 15 ? a. a - 5 3a b. a 5 3a c. a(a - 5) 3 d. a(a 5) 3 3. 3x 2 - 4x 6 x 2 - 2x - 15 - 2x 2 2x 1 x 2 - 2x - 15
The lowest term of the given expression after simplifying the fractions are 3(x - 2/3)(x - 3)/(x - 5)(x + 3) - 2x(x - 1)/(2x + 1)
1. To reduce the expression x^2 - 9x/28x + 15 to lowest terms, we first factor the numerator and denominator:
x^2 - 9x + 15 = (x - 3)(x - 5)
28x + 15 = 7(4x + 3)
So the expression becomes (x - 3)(x - 5)/7(4x + 3). We cannot simplify this any further, so the answer is (a) x - 3/x + 5.
2. To simplify a^2 - 25/a^2 - 3a - 15, we first factor the numerator and denominator:
a^2 - 25 = (a + 5)(a - 5)
a^2 - 3a - 15 = (a - 5)(a + 3)
So the expression becomes (a + 5)(a - 5)/(a - 5)(a + 3). We can cancel out the (a - 5) term, so the answer is (c) a(a - 5)/3.
3. To simplify 3x^2 - 4x + 6/x^2 - 2x - 15 - 2x^2/2x + 1, we first combine the numerator of the first fraction:
3x^2 - 4x + 6 = 3(x^2 - (4/3)x + 2)
Then we factor the denominator of the first fraction:
x^2 - 2x - 15 = (x - 5)(x + 3)
We can also factor the numerator of the second fraction:
-2x^2 = -2x(x - 1)
And finally, we factor the denominator of the second fraction:
2x + 1 = (2x + 1)
Putting it all together, we have:
3(x - 2/3)(x - 3)/(x - 5)(x + 3) - 2x(x - 1)/(2x + 1)
We cannot simplify this any further, so this is the answer.
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Please help me? I am confused.
Answer:
One solution
Step-by-step explanation:
3-2x=5-x+3+4x
3-2x=3x+8 Combine like terms
3-8-2x+2x=3x+2x+8-8 Minus or add terms to get x on one side by itself
-5=5x Divide 5 to both sides to get x by itself
5 5
x=-1 The 5 is cancelled out on the side with the x and then divide it on the side with -5
Find the 44th term.
2, 7, 12, 17, 22, ...
What is the double of 8?.
The answer double will be of 8 is 16, by multiplication.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
The fundamental concept of repeatedly adding the same number is embodied in the process of multiplication. The outcome of multiplying two or more numbers is known as the product of those numbers, and the factors that are multiplied are referred to as the factors. The process of repeatedly adding the same number is made easier by multiplication.
So the double of 8 means adding 2 two times. Or multiplying 8 with 2
8*2 = 16
Hence, double will be of 8 is 16
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Let f be the function defined above. At what values of x, if any, is f not differentiable? F(x) = 2/x, x<-1 x^2-3, -1<=x<=2 4x-3, x>2 A) x=-1 only B) x=2 only C) x=-1 and x=-2 D) f is differentiable for all values of x
The function f is not differentiable at x = -1 and x = 2.
To determine the values of x at which the function f is not differentiable, we need to examine the different pieces of the function and their respective domains.
For the function f(x) = 2/x, x < -1, the function is differentiable for all values of x in its domain
For the function f(x) = x^2 - 3, -1 <= x <= 2, the function is differentiable within this interval.
For the function f(x) = 4x - 3, x > 2, the function is differentiable for all values of x in its domain.
Therefore, the only values of x at which f is not differentiable are the points where the different pieces of the function meet, which are x = -1 and x = 2. At these points, there is a discontinuity in the derivative, and thus the function is not differentiable.
In conclusion, the values of x at which f is not differentiable are x = -1 and x = 2 (option C).
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Given the system of equations.
{-4x+y = 3
{2x - y = 12
Which of the options represents the resulting equation after an equivalent expression for y ls substituted into the
second equation.
2x - (4 X+3) = 12
-4(4y+)+y=3
2 (4x+3) - y
-4x+4 x-3=3
Answer:
A. 2x - (4x + 3) = 12
Step-by-step explanation:
A. 2x - (4x + 3) = 12
B. -4(4y+)+y=3
C. 2 (4x+3) - y
D. -4x+4 x-3=3
Given equation:
-4x+y = 3. (1)
2x - y = 12. (2)
From (1)
y = 3 + 4x
Substitute y = 3 + 4x into (2)
2x - y = 12 (2)
2x - (3 + 4x) = 12
Or
2x - (4x + 3) = 12
2x - 4x - 3 = 12
- 2x = 12 + 3
- 2x = 15
x = 15/-2
x = -7.5
Substitute x = -7.5 into (1)
-4x+y = 3 (1)
-4(-7.5) + y = 3
30 + y = 3
y = 3 - 30
y = -27
a regular square pyramid is 3m height and the perimeter of its base is 16m find the volume of the prism if its height is 10cm.
Answer:
240
Step-by-step explanation:
Answer:
16 m^3
Step-by-step explanation:
Question:
"a regular square pyramid is 3m height and the perimeter of its base is 16m find the volume of the pyramid"
volume of pyramid = (1/3) * (area of base) * height
The perimeter of the base is 16 m, and the base is a square.
perimeter of square = 4 * side
4 * side = 16 m
side = 4 m
area of square = (side)^2
area of base = (4 m)^2 = 16 m^2
volume of pyramid = (1/3) * (area of base) * height
volume = (1/3) * (16 m^2) * 3 m
volume = 16 m^2
George works for a garden center where he is paid a salary of $350 per week plus a commission of 6% of the amount of merchandise that he sells. Last week his sales totaled $1,850. What was his gross pay?
Answer:
$461
Step-by-step explanation:
George's Salary = $350. Commission= 6/100 ×$1850 =$111. GrossPay = George's Salary weekly + George's weekly commission. Therefore, Gross Pay = $350 + $111 = $461.
His gross pay would be,
⇒ $461
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
We have to given that;
George works for a garden center where he is paid a salary of $350 per week plus a commission of 6% of the amount of merchandise that he sells.
Here, Last week his sales totaled $1,850.
Hence, Commission of the amount of merchandise that he sells is,
⇒ 6% of 1,850
⇒ 6/100 × 1,850
⇒ $111
Thus, His gross pay would be,
⇒ $350 + $111
⇒ $461
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the reliability of a widely used microprocessor is typically expressed as time between fail- ures (tbf). suppose tbf is a right skewed distributed random variable that averages 3,000 cycles with a standard deviation of 54 cycles. 24. suppose the purchaser of these microprocessors will draw a random sample of size 36. what is the mean and standard deviation of the average of the 36 measurements, to two decimal places?
The mean and the standard deviation for the average of the 36 measurements is given as follows:
Mean of 3000 cycles.Standard deviation of 9 cycles.What is defined by the Central Limit Theorem?The Central Limit Theorem defines the distribution of the sampling distribution of sample means with size n of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\).
For the sampling distribution, the mean and the standard deviation are given as follows:
Mean: \(\mu\), that is, the same as the population mean.Standard deviation: \(s = \frac{\sigma}{\sqrt{n}}\), which is the population standard deviation divided by the square root of the sample size.Considering the sample size of n = 36, the standard deviation is obtained as follows:
\(s = \frac{54}{\sqrt{36}} = 9\)
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The population of a city is 55,000. The city grows continuously by 2.4% per year If this trend continues, in how many years will the city be growing by 1,900 people per year? It will be in approximtely (If necessary, round to nearest tenth of a year.)
In approximately 32.1 years, the city will be growing by 1,900 people per year.
Let's first find the continuous growth rate, r, using the given percentage:
r = 2.4% = 0.024
We can use the continuous growth formula to find the population function:
P(t) = P0 * e^(rt)
where P0 is the initial population (55,000), t is time in years, and e is Euler's number.
To find when the city will be growing by 1,900 people per year, we need to solve the following equation for t:
P'(t) = 1,900
We can differentiate the population function to get:
P'(t) = r * P0 * e^(rt)
Substituting the given values, we get:
0.024 * 55,000 * e^(0.024t) = 1,900
Simplifying and solving for t, we get:
t ≈ 32.1 years
Therefore, in approximately 32.1 years, the city will be growing by 1,900 people per year.
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Kellie can type 3 words in 1 minute
uwu I see a lot of problems,
1. She can only type 3 words per minute
2. She can only type 3 words per minute
jason paused on step 189 on his way to the top of the statue of liberty. if there were 354 steps in all, how many more steps did jason have to climb?
Jason needs to climb = 165 steps
Statue of Liberty is famous for ?One of the most recognizable people in the entire globe, it is a symbol and a national treasure. The trek to see her history and magnificence in person is made by millions of people every year who value her principles.
As a representation of liberation, inspiration, and optimism, she is the Statue of Liberty.
Jason needs to climb = 354 - 189 = 165 steps
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The range of doses for Losartan per day is 70 to 90 milligrams. What would be the corresponding range for doses in micrograms?
The corresponding range for Losartan doses in micrograms is 70,000 to 90,000 micrograms per day.
To convert the range of Losartan doses from milligrams to micrograms, we need to multiply the milligram values by 1,000.
The lower end of the range, 70 milligrams, can be converted to micrograms by multiplying it by 1,000: 70 mg * 1,000 = 70,000 micrograms.
Similarly, the upper end of the range, 90 milligrams, can be converted to micrograms: 90 mg * 1,000 = 90,000 micrograms.
Therefore, the corresponding range for Losartan doses in micrograms is 70,000 to 90,000 micrograms per day. This means that the dosage range for Losartan can vary from 70,000 micrograms to 90,000 micrograms per day, depending on the specific prescription or treatment plan.
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what expressions are equivalent to 11 to the power of 4
Answer:
Step-by-step explanation:
Here \(11^4=11\times11\times11\times11=121\times121=14641\).
Final Answer: So the solution is 14641.
which expression is equivalent to the expression shown!
Answer:
Answer is Option A
Step-by-step explanation:
3 / 2 x - 1 /2
Hope this answer helps you :)
Have a great day
Mark brainliest
Answer:
D
Step-by-step explanation:
Given
- \(\frac{1}{2}\) ( - \(\frac{3}{2}\) x + 6x + 1) - 3x ← distribute parenthesis
= \(\frac{3}{4}\) x - 3x - \(\frac{1}{2}\) - 3x
= \(\frac{3}{4}\) x - 6x - \(\frac{1}{2}\)
= \(\frac{3}{4}\) x - \(\frac{24}{4}\) x - \(\frac{1}{2}\)
= - \(\frac{21}{4}\) x - \(\frac{1}{2}\)
= - 5 \(\frac{1}{4}\) x - \(\frac{1}{2}\) → D
Find the value of x that makes 25x^2 + 70x + c a perfect square trinomial
The value of x that makes 25x^2 + 70x + c a perfect square trinomial is c = 1225.
To make the quadratic expression 25x^2 + 70x + c a perfect square trinomial, we need to determine the value of c.
A perfect square trinomial can be written in the form (ax + b)^2, where a is the coefficient of the x^2 term and b is half the coefficient of the x term.
In this case, a = 25, so b = (1/2)(70) = 35.
Expanding (ax + b)^2, we have:
(25x + 35)^2 = 25x^2 + 2(25)(35)x + 35^2
= 25x^2 + 70x + 1225.
Comparing this with the given quadratic expression 25x^2 + 70x + c, we can see that c = 1225.
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what is the purpose of using prefixes in the metric system
The purpose of using prefix in the metric system is to properly sale the basis of the unit so large numeric values can be used effectively.
If the metric system is not properly prefixed it can lead to various inconsistencies in the the numeric values. for example if you go to a computer store and you do not know the scale like (kb, mb, gb, tb) you will get quite confused about what is the sales representative saying
Consider you went to a store to get sugar and you do not know the metric system say(gram, kg, mg) you would not know how much sugar you need directly by taking it in your hands.
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Find the first derivative for each of the following:
y = 3x2 + 5x + 10
y = 100200x + 7x
y = ln(9x4)
The first derivatives for the given functions are:
For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.
For \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.
For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.
To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.
For the function\(y = 3x^2 + 5x + 10:\)
Taking the derivative term by term:
\(d/dx (3x^2) = 6x\)
d/dx (5x) = 5
d/dx (10) = 0
Therefore, the first derivative is:
dy/dx = 6x + 5
For the function y = 100200x + 7x:
Taking the derivative term by term:
d/dx (100200x) = 100200
d/dx (7x) = 7
Therefore, the first derivative is:
dy/dx = 100200 + 7 = 100207
For the function \(y = ln(9x^4):\)
Using the chain rule, the derivative of ln(u) is du/dx divided by u:
dy/dx = (1/u) \(\times\) du/dx
Let's differentiate the function using the chain rule:
\(u = 9x^4\)
\(du/dx = d/dx (9x^4) = 36x^3\)
Now, substitute the values back into the derivative formula:
\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)
Therefore, the first derivative is:
dy/dx = 4/x
To summarize:
For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.
For y = 100200x + 7x, the first derivative is dy/dx = 100207.
For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.
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Please help me 87x89 PLEASE
Answer:
7743 :)
Step-by-step explanation:
Three Bears
In the land of Plentiful Honey, lived three bears: Papa
Bear, Mama Bear and Baby Bear. They had three pots
of honey: one large, one medium, and one small. One
day they found themselves carrying the pots of honey
down a path. Papa was carrying the medium pot, while
Mama was carrying the small pot, and Baby was
carrying the large pot. This was clearly inequitable and they decided to trade pots, so that
each was proportional to the size of the bear. It may seem there is a simple solution to their
dilemma, however, the rules for transferring pots in the land of Plentiful Honey are quite
complicated. They are:
a) Only one pot of honey can be passed at a time.
b) fa bear is holding two pots of honey, only the smaller pot may be transferred.
• A honey pot may not be transferred to a bear that is holding a smaller pot.
d) Pots may not be set on anything, such as the ground or a stump.
Diagram or explain the sequence of the transferring of honey pots, so that Papa Bear has the
large pot, Mama Bear the medium pot, and Baby Bear the small pot.
Answer:
m→B, s→P, m→M, s→M, l→P, s→B
Step-by-step explanation:
The initial state is ...
(Baby, Mama, Papa) = (Large, Small, Medium)
The large pot can only be transferred from someone holding only that pot, and only to someone holding no pots. The small pot can go anywhere any time.
Transfer the medium pot to Baby.
(B, M, P) = ({L, M}, S, –)
Transfer the small pot to Papa.
(B, M, P} = ({L, M} –, S)
Transfer the medium pot to Mama.
(B, M, P) = (L, M, S)
Transfer the small pot to Mama.
(B, M, P) = (L, {M, S}, –)
Transfer the large pot to Papa.
(B, M, P) = (–, {M, S}, L)
Transfer the small pot to Baby.
(B, M, P) = (S, M, L) . . . . . . desired end condition
A doctor asked a patient to reduce his medication by a regular number of tablets per week. The reduction plan begins one week after the visit to the doctor. If 10 weeks after the visit to the doctor the person is taking 40 tablets and 20 weeks after the visit the person is taking 30. Find the weekly reduction in his consumption of tablets.
1 tablet weekly reduction in his consumption of tablets.
What is an algebraic expression?Algebraic expression is a set of variable, constant and algebraic operations like addition, subtraction, multiplication and division. for example 3x^2+2x+3=0
Tablet after 10 week of doctor visit = 40 tablet
Tablet after 20 week of doctor visit= 30
In 10 week there is a difference of (40-30) 10 tablets.
in 10 week there is reduction of 10 tablets its mean there is reduction of 1 tablet per week
so, the weekly reduction of 1 tablet per week.
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Which of the following differential equations has the slope field below
The differential equation that has the given slope is: dy/dx = -xy.
How to find the differential equation that models the situation?We have to look at the slope, given in the graph of the solution of the differential equation, and represented by dy/dx. From the graph, we have that:
In quadrants I and III, in which x and y have the same signal, the differential equation is decreasing, hence the slope is negative.In quadrants II and IV, in which x and y have different signals the differential equation is increasing, hence the slope is positive.The differential equation that is negative when x and y have the same signals and positive when they do not have is given by the following option:
dy/dx = -xy.
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