Answer:
c
Step-by-step explanation:
:)
Answer:
C.
Step-by-step explanation:
5x/x+ 3
Find the average value of the function f(x) = (x + 2) on the interval [0, 3].
The average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.
Calculate the definite integral of the function over the interval [a, b], then divide it by the interval's length (b - a), in order to determine the average value of a function f(x) over the interval.
Given that the interval is [0, 3] and the function f(x) = (x + 2), we have:
= (1/3) × [1/2 x² + 2x] evaluated from x=0 to x=3
= (1/3) × [(1/2 × 3² + 2×3) - (1/20² + 20)]
= (1/3) × [(9/2 + 6) - 0]
= (1/3) × (21/2)
= 7/2
Therefore, the average value of the function f(x) = (x + 2) on the interval [0, 3] is 7/2.
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I need help please!!!!
Answer:
MOREEE
Step-by-step explanation:
Q.2.3 Write the pseudocode for the following scenario: \( (30 \) A manager at a food store wants to keep track of the amount (in Rands) of sales of food and the amount of VAT (15\%) that is payable on
Pseudocode refers to a language that uses a combination of informal English language and a programming language. It's utilized to specify the steps that a computer program will follow to achieve a particular aim. In the context of programming, pseudocode is commonly used to explain a program's algorithm before it is turned into actual code.
In a nutshell, pseudocode is a way of expressing computer code in a human-readable format that can be easily interpreted. Here is the pseudocode for the manager's scenario:
1. Declare variable: sales = 0, vat = 0.
2. Request input of sales amount in Rands from user.
3. Multiply sales by 15% to calculate the VAT payable.
4. Add VAT payable to the sales amount to determine the total sales amount.
5. Display total sales amount and VAT payable.
the pseudocode for a scenario where a food store manager wants to keep track of the amount of sales of food and the amount of VAT that is payable on it will entail the use of variables, multiplication, and display functions. In addition, requesting input from the user is a critical step that cannot be ignored.
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Solve each inequality. Check your solution. (x/3) + 5 ≥ 1/6
The inequality given by (x/3) + 5 ≥ 1/6 has the solution x ≥ -29/2 or [-29/2 , +∞).
Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.
To solve an inequality is to find the values of x such that when we substitute that number for x we have a true statement.
Given the inequality (x/3) + 5 ≥ 1/6, subtract 5 from both sides.
(x/3) + 5 - 5 ≥ 1/6 - 5
x/3 ≥ -29/6
Multiply both sides by 3.
3(x/3) ≥ 3(-29/6)
x ≥ -29/2
To check, let x = -29/2
x = -29/2 ≥ -29/2
Substitute this value to the inequality.
(x/3) + 5 ≥ 1/6
(-29/2)/3 + 5 ≥ 1/6
1/6 ≥ 1/6
let x = -14,
x = -14 ≥ -29/2
Substitute this value to the inequality.
(x/3) + 5 ≥ 1/6
-14/3 + 5 ≥ 1/6
1/3 ≥ 1/6
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If x^2 − 4x + 4 = 49, then what is x
Answer:
x=9 x=-5
Step-by-step explanation:
x² − 4x + 4 = 49
(x-2)²= 49
x-2= 7 or x-2=-7
x=9 or x=-5
Evaluate: a 6.24 x 10
PLZZZ HELPPPPPPPPPPP
Answer:
?=6
Step-by-step explanation:
6/9=2/3
6/9 is the non-simplified version of 2/3
Answer:
6/9
Step-by-step explanatiquick mafs
Which is ⁴√81x³y⁴z8 with rational exponents?
(a) 3x(¾)yz²
(b) 8x (¾) yz²
(c) 2x (⅓) yz²
(d) 9x (⅓) yz²
The expression of ⁴√(81x³y⁴z⁸) with rational exponents is: 3x(¾)yz²
How to solve Laws of Exponents?The 8 laws of exponents can be listed as follows:
Zero Exponent Law: a^(0) = 1.
Identity Exponent Law: a^(1) = a.
Product Law: a^m × a^n = a^(m+n)
Quotient Law: a^m/a^n = a^(m - n)
Negative Exponents Law: a^(-m) = 1/a^(m)
Power of a Power: (a^m)^n = a^(mn)
Power of a Product: (ab)^m = a^m*b^m
Power of a Quotient: (a/b)^m = a^m/b^m
We are given the algebra expression as:
⁴√81x³y⁴z⁸
This gives us:
81^(1/4) * x^(3/4) * y^(4/4) * z^(8/4)
= 3x^(3/4)yz²
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Solve the following inequality algebraically.
x + 2 < 11
Answer:
x < 9
Step-by-step explanation:
Subtract 2 from both sides so you can isolate the variable on the left.
A music club was formed in the month of January last year. The function m(t) = t2 - 4t + 25 models the number of club members for the first 10 months, where t is the number of months since the club's inception. Complete the square, and graph this function. What is the minimum number of members the club had during the year? A. 29 members B. 24 members C. 22 members D. 21 members
Answer:
D
Step-by-step explanation:
We have to find the vertex of m(t) = t² - 4t + 25
a = 1
b = 4
c = 25
To do that we first need to move the 25 to the other side by subtracting 25 from both sides
m(t) = t² - 4t + 25
- 25 - 25
m(t) - 25 = t² - 4t
To continue completing the square, we have to add 4 to both sides since it is the square of half of b.
m(t) - 25 + 4 = t² - 4t + 4
m(t) - 21 = t² - 4t + 4
Now, we already found the minimum amount of members, but let's finish the square completion to find the vertex.
m(t) - 21 = t² - 4t + 4
Factor the right side
m(t) - 21 = (t-2)(t-2)
m(t) - 21 = (t-2)²
Finish it by adding 21 to both sides
m(t) - 21 = (t-2)²
+ 21 +21
m(t) = (t-2)² + 21
With this vertex form equation, we can tell that the vertex is (2,21)
Meaning 21 is the lowest number for m(t) for this equation.
Please help me with this MATH question.
Answer:
g= -2
Step-by-step explanation:
Answer:
- 2
Step-by-step explanation:
1. open the parentheses: 3(5-g)= 15-3g= 21
2. move variables and constants of different sides (signs change when a variable or constant moves to the other side of equal sign.)
15- 3g= 21 = -3g= 21- 15
-3g= 6
3. get g alone on 1 side: divide -3g by -3 so that the -3 cancel, then also divide 6 by 13 so that the equation will stay balanced.
Hence, g= -2
Hope this helps!
let me know if t does and if the answer is right.
why dose it not telling me the ansewr
Answer:
I don't know ::{
Step-by-step explanation:
The gas mileage g (measured in mi/gal) for a particular vehicle, driven at v mi/h, is given by the formula g = 10 + 0.7v − 0.01v2, as long as v is between 10 mi/h and 65 mi/h. For what range of speeds (in mi/h) is the vehicle's mileage 22 mi/gal or better? (Enter your answer using interval notation.)
Answer:
\([30,40]\)
Step-by-step explanation:
Given
\(g = 10 + 0.7v - 0.01v^2\)
Required
Determine v when g = 22
Substitute 22 for g;
We have:
\(22 = 10 + 0.7v - 0.01v^2\)
Collect Like Terms
\(0.01v^2 -0.7v + 22- 10 = 0\)
\(0.01v^2 -0.7v + 12 = 0\)
\(0.01v^2 -0.4v-0.3v + 12 = 0\)
\(0.01v(v - 40) - 0.3(v - 40) = 0\)
\((0.01v - 0.3)(v - 40) = 0\)
Split:
\(0.01v - 0.3= 0\) or \(v - 40 = 0\)
\(0.01v = 0.3\) or \(v = 40\)
\(v = 0.3/0.01\) or \(v = 40\)
\(v = 30\) or \(v = 40\)
Writing as interval, we have:
\([30,40]\)
1 0 6
0 1 1
0 0 0
Find the solution(s) to the system, if it exists. State the solution as a point (be sure to use parentheses), use parameter(s) s and t if needed. If the system is inconsistent, then state no solution.
The system has infinitely many solutions, which can be written as (x, y, z) = (1 - 60s, -10 + 600s, s) where s is a parameter.
To solve the system of equations:
1x + 0y + 60z = 1
1x + 10y + 0z = 0
0x + 0y + 0z = 0
The third equation is an identity, implying that it does not give us any new information. The first two equations can be used to solve for x, y, and z:
From the first equation, we get x = 1 - 60z
From the second equation, we get y = 0 - 10x = -10(1 - 60z) = -10 + 600z
Therefore, the solution to the system can be written as a point in terms of z as:
(x, y, z) = (1 - 60z, -10 + 600z, z)
Since z can take on any value, there are infinitely many solutions to the system, which can be parameterized as:
(x, y, z) = (1 - 60s, -10 + 600s, s) where s is a parameter.
he system has infinitely many solutions, which can be written as (x, y, z) = (1 - 60s, -10 + 600s, s) where s is a parameter.
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Superstar Toy Shop is having its annual holiday sale, when every toy in the store gets marked down. During the sale, Pamela purchases 4 Mighty Mare toy ponies to add to her collection, each at $3 less than its full price. Pamela pays a total of $52.
Which equation can you use to find the amount of money, x, each Mighty Mare toy pony costs at full price?
Let x be the full price of each Mighty Mare toy pony.
During the holiday sale, Pamela purchased each toy at $3 less than its full price. Therefore, the price she paid during the sale was:
x - $3
Since she bought 4 of these toys, her total cost during the sale was:
4(x - $3)
We also know that Pamela paid a total of $52 during the sale. Therefore, we can set up an equation:
4(x - $3) = $52
Simplifying this equation, we get:
4x - $12 = $52
Adding $12 to both sides, we get:
4x = $64
Dividing both sides by 4, we get:
x = $16
Therefore, each Mighty Mare toy pony costs $16 at full price.
Let's assume that the full price of each Mighty Mare toy pony is x dollars. Since Pamela purchased 4 Mighty Mare toy ponies, each at $3 less than its full price, the cost of each toy pony during the sale would be (x - 3) dollars.
To find the equation that represents this situation, we can set up the equation based on the given information:
4 * (x - 3) = 52
In this equation, 4 represents the number of Mighty Mare toy ponies purchased, (x - 3) represents the cost of each toy pony during the sale, and 52 represents the total amount paid by Pamela.
By solving this equation, we can determine the value of x, which represents the full price of each Mighty Mare toy pony.
help thanks
If you troll u get banned
Answer:
i believe it is d as the angle could also be a right angle
Step-by-step explanation:
Answer:
Your mom :))))))
Barbara's sister is twice as old as Barbara. Barbara's sister is 7 years younger than Barbara's brother. If Barbara's brother is 21, which equation could be used to find Barbara's age (b)?
Answer:
Option D
Step-by-step explanation:
Let the age of Barbara sister = x years
And the age of Barbara's brother = y years
"Barbara's sister is 7 years younger than Barbara's brother"
x = y - 7
If y = 21,
x = 21 - 7 ------(1)
"Barbara's sister is twice old as Barbara"
x = 2b --------(2)
By substituting the value of x from equation (2) to equation (1),
2b = 21 - 7
2b + 7 = 21 + 7
2b + 7 = 21
Therefore, Option D will be the answer.
Which ratio is expressed as a unit rate?
A $1.00/$1.00lb
B 1page /3min
C 16in./16sec
D 67miles/60min
Answer:
Option A.
Step-by-step explanation:
The question asked for a unit rate. This means that there should be no denominator higher than 1. Option A is the only one which have a denominator of 1.
For BRAINLY please help fast I have a D in the class haha
Answer:
yes
Step-by-step explanation:
it is possible to be an isoscelize triangle
pls mark brainliest
Answer:
I think yes
Step-by-step explanation:
because the two sides that are bigger can be the ones with the lenght of 8
and the one in the bottom can be the one with the lenght 1
hope this helps <33
have a nice day :)
Evaluate j/4 when j=12
Answer:
3
Step-by-step explanation:
\( \frac{j}{4} = \frac{12}{4} = 3\)
4*3=12
3*4=12
12/4=3
12/3=4
Hope this helps ;) ❤❤❤
Answer:
We need to evaluate \(\frac{j}{4}\) for j = 12.
First, we need to replace j by 12 on \(\frac{j}{4}\), so we get \(\frac{12}{4}\) and now, we only need to divide:
\(\frac{12}{4}=3\)
So the result is 3
For the expression startfraction 9 x squared minus 8 over (3 x squared minus 4) squared endfraction, which sum represents the correct form of the partial fraction decomposition?
To find the correct form of the partial fraction decomposition for the expression: \(\(\frac{9x^2 - 8}{(3x^2 - 4)^2}\)\)
We need to factor the denominator and decompose it into partial fractions. Let's factor the denominator first:
\(\(3x^2 - 4 = (3x - 2)(x + 2)\)\)
Now, we can decompose the expression into partial fractions using the following general form:
\(\(\frac{A}{3x - 2} + \frac{B}{x + 2} + \frac{C}{(3x - 2)^2} + \frac{D}{(x + 2)^2}\)\)
To determine the values of A, B, C, and D, we need to find the common denominator and equate the numerators:
\(\(9x^2 - 8 = A(x + 2)(3x - 2) + B(3x - 2)(x + 2) + C(x + 2) + D(3x - 2)\)\)
Now, we can solve for A, B, C, and D by comparing the coefficients of like terms on both sides of the equation.
However, by following the steps outlined above, you can determine the specific values and complete the partial fraction decomposition.
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Which of the following factors does NOT control the stability of a slope?
the angle of repose for intact bedrock
whether the slope is rock or soil
the amount of water in the soil
the orientation of fractures, cleavage, and bedding
The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.
Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.
The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.
To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.
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Find different pairs of numbers from the list to complete these equations:
24, -12 ,-3 ,-4, -48, -6, 2 ,-8
____ x ____ = -96 ____ ÷ ____ = -96
Equation 1: ____ x ____ = -96 We need to find a pair of numbers from the list that multiply together to give -96. Here are some possible pairs:
1) -12 x 8 = -96
2) 24 x -4 = -96
Equation 2: ____ ÷ ____ = -96
We need to find a pair of numbers from the list that divide to give -96. Here are some possible pairs:
1) -48 ÷ 0.5 = -96 (0.5 is the result of dividing 2 by 4)
2) 96 ÷ -1 = -96 (-1 is the result of dividing -2 by 2)
So, here are the pairs of numbers that can complete the equations:
Equation 1:
- Pair 1: -12 and 8
- Pair 2: 24 and -4
Equation 2:
- Pair 1: -48 and 0.5 (derived from dividing 2 by 4)
- Pair 2: 96 and -1 (derived from dividing -2 by 2)
Keep in mind that we had to create the numbers 0.5 and -1 from the given list to find the pairs that satisfy Equation 2.
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HELP!!!!!!
i’m uneducated and i don’t know how to do this:(
i’ll give a brainist to that correct response:)
Answer: Xy=7
Step-by-step explanation: so if xz is the median it hits in the middle of WY and since the legnth of WY is given the length of xy is 7
PLEASE HELP ASAP
Select the correct answer.
Which inequality is graphed on the coordinate plane?
Inequality representation on a coordinate plane line graph. A Dotted line intersects X-axis at unit 0.5 and Y-axis at unit minus 1.
A.
y < -2x − 1
B.
y > -2x − 1
C.
y ≤ -2x − 1
D.
y ≥ -2x − 1
The inequality that is graphed on the coordinate plane is D. y ≥ -2x − 1.
How to solve an equation?An equation has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario. It is important to note that an equation is the mathematical statement which can be made up of two expressions which are connected by an equal sign.
An inequality shows the non equal comparison of two or more numbers and variables. From the graph, a dotted intersects x-axis at unit 0.5 (0.5, 0) and Y-axis at unit -1 (0, -1).
Using the points (0.5, 0) and (0, -1), hence:y - 0 = [(-1 - 0)/(0 - 0.5)](x - 0.5)y = 2x - 1.
Since the line graph is dotted and it is shaded to the left, hence it is the inequality y ≥ -2x − 1.
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Cash price 550 000 installment 4500 per month repayment term 240 months determine the total amount if the installment option is used?
if the installment option is used, the total amount paid over the 240-month term would be $1,080,000. This includes both the principal amount of $550,000 and the interest accumulated over the repayment period.
To determine the total amount if the installment option is used, we need to calculate the total repayment over the 240-month term.
The installment amount per month is $4,500, and the repayment term is 240 months.
Total repayment = Installment amount per month * Repayment term
Total repayment = $4,500 * 240
Total repayment = $1,080,000
Therefore, if the installment option is used, the total amount paid over the 240-month term would be $1,080,000. This includes both the principal amount of $550,000 and the interest accumulated over the repayment period.
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Woodpecker, Inc., stock has an annual return mean and standard deviation of 12.6 percent and 44 percent, respectively. What is the smallest expected loss in the coming month with a probability of 16.0
Answer:
To find the smallest expected loss in the coming month with a probability of 16.0%, we need to calculate the corresponding z-score for the given probability and use it to determine the loss value.
First, we convert the probability to a z-score using the standard normal distribution table or a calculator. A probability of 16.0% corresponds to a z-score of approximately -0.99.
Next, we calculate the expected loss by multiplying the z-score by the standard deviation and adding it to the mean:
Expected loss = z-score * standard deviation + mean
Expected loss = -0.99 * 44% + 12.6%
Expected loss = -0.99 * 0.44 + 0.126
Expected loss = -0.4356 + 0.126
Expected loss ≈ -0.3096
Therefore, the smallest expected loss in the coming month with a probability of 16.0% is approximately -0.3096, or 30.96% (rounded to two decimal places).
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Please answer correctly !!!!!!!!! Will mark brianliest answer !!!!!!!!!!!!
Answer:
9x^2 +12x
Step-by-step explanation:
To find the area of a rectangle you need to multiply the length by the width. So,
3 by 3x^2 = 9x^2
3 by 4x = 12x
So the area of the entire rectangle is: 9x^2 + 12x
having a hard time with this
Answer:
the correct answer is D
Step-by-step explanation:
because the -9 5/8 is in absolute value marks.
Please help me with my simultaneous equations - I'm super stuck! (80 points)
BTW it's 8th grade math. And I think the answers on the 2nd page are wrong
The cost of one regular pizza is £2 and the cost of one small pizza is £8.5.
What is the cost ?
Solving the simultaneous equations:
7p + 8q = 34
3p + 4q = 14
Multiplying the second equation by 2, we get:
6p + 8q = 28
Subtracting this equation from the first equation, we get:
p = 6
Substituting this value of p into the second equation, we get:
3(6) + 4q = 14
18 + 4q = 14
4q = -4
q = -1
Therefore, p = 6 and q = -1.
Solving the simultaneous equations:
15s + 9t = 39
4s + 3t = 14
Multiplying the second equation by 5, we get:
20s + 15t = 70
Subtracting this equation from the first equation, we get:
11s - 6t = -31
Solving for s in terms of t, we get:
11s = 6t - 31
s = (6t - 31)/11
Substituting this expression for s into the second equation, we get:
4[(6t - 31)/11] + 3t = 14
24t - 124 + 33t = 154
57t = 278
t ≈ 4.88
Substituting this value of t into the expression for s, we get:
s = (6(4.88) - 31)/11
s ≈ -0.56
Therefore, s ≈ -0.56 and t ≈ 4.88.
Solving the simultaneous equations:
4a + 3b = -3
16a + 4b = -68
Multiplying the first equation by 4, we get:
16a + 12b = -12
Subtracting this equation from the second equation, we get:
-8b = -56
b = 7
Substituting this value of b into the first equation, we get:
4a + 3(7) = -3
4a = -24
a = -6
Therefore, a = -6 and b = 7.
Finding the cost of one regular pizza and one small pizza:
Let x be the cost of one regular pizza and y be the cost of one small pizza.
We can write two equations based on the given information:
2x + 3y = 33
6x + 12y = 114
Dividing the second equation by 6, we get:
x + 2y = 19
Multiplying this equation by 3 and subtracting the first equation, we get:
3x = 6
x = 2
Substituting this value of x into the equation x + 2y = 19, we get:
2 + 2y = 19
2y = 17
y = 8.5
Therefore, the cost of one regular pizza is £2 and the cost of one small pizza is £8.5.
Solving the equation:
5m + 6n = -35
10m + 4n = -30
Multiplying the first equation by 2, we get:
10m + 12n = -70
Subtracting this equation from the second equation, we get:
-8n = 40
n = -5
Substituting this value of n into the first equation, we get:
5m + 6(-5) = -35
5m = 5
m = 1
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Complete question is: The cost of one regular pizza is £2
and the cost of one small pizza is £8.5.