2(x + 4) - 5
please help!
(simplify it)
Answer:
2x+3
Step-by-step explanation:
2(x+4)-5
2x+8-5 8-5=3
2x+3
Mrs Ndlovu invests 5 200 into a savings account which offers an interest rate of 5,5% per annum compounded annually.How much will Mrs Ndlovu have in her account at the end of 9 years
After a time period of 9 years Mr. Lucas' investment will be 17940 x 10^5
What does investment mean in everyday language?
A purchase made with the intention of earning money or gaining notoriety is referred to as an investment. The acquisition of things that are not used right away but will be utilized to create wealth down the road is known as an investment in an economic perspective. There are numerous investment options available.
Rate in percentage (R) = 5.5%
Principal Amount (P) = 5 200
Total time period (t) = 9 years
Number of times interest is compounded per t (n) = 1
r = R/100
r = 5.5/100
r = 0.055 rate per year,
Then solve the equation for A
A = P(1 + r/n)^(nt)
A = 5200(1 + 0.055/1)⁽¹⁾⁽⁹⁾
A = 5200(1 + 0.055)⁹
A = 5200(1.055)⁹
A = 5200 * 3.45 x 10^5
= 17940 x 10^5
Hence, after a time period of 9 years Mr. Lucas' investment will be 17940 x 10^5
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inch. if the prism is packed with 15 cubes along the length, 6 cubes along the width, and 5 cubes along the height, what is the volume of the prism
the volume of the prism is 450 cubic units, obtained by multiplying the number of cubes along the length, width, and height.
The volume of a prism can be calculated by multiplying the length, width, and height of the prism.
In this case, the prism is packed with 15 cubes along the length, 6 cubes along the width, and 5 cubes along the height.
To find the volume, we multiply these three measurements together.
So, the volume of the prism is:
15 cubes * 6 cubes * 5 cubes = 450 cubes.
Therefore, the volume of the prism is 450 cubic units.
the volume of the prism is 450 cubic units, obtained by multiplying the number of cubes along the length, width, and height.
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6 is added to the
product of 7 and a number.
The equation model of the given statement in question is 6 + 7× x.
What are equation models and arithmetic?The model of equation is defined as the model of the given situation in the form of an equation using constants and variables.
In math, it deals with numbers of operations given according to the statements. The four major arithmetic operators are, addition, subtraction, multiplication, and division.
Given that;
6 is added to product of a number and 7
Now,
Let, the number multiplied by 7 be x,
=7*x
6 is added to the product;
= 6 + 7 × x
Therefore, the equation of model will be given as 6 + 7 × x;
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sasasaasasasasassasasasasasasasasasasasasasasa
Answer:
tatatatatatatatatatatatatata
Step-by-step explanation:
the duck is so cute
Answer:
DUCKYYY :DDD
Step-by-step explanation:
13. Each strip of the diagram is shaded to represent a fraction of 1 whole. The fractions represented are —
*
5 points
F equivalent, because the shaded area of Strip B is greater than the shaded area of Strip A
G not equivalent, because Strip A has 4 parts in all and Strip B has 8 parts in all
H equivalent, because the shaded area of Strip A is the same as the shaded area of Strip B
J not equivalent, because Strip A has 3 shaded parts and Strip B has 6 shaded parts
The strips are equivalent because the shaded area of strip A is the same as the shaded area of strip B.
STRIP ABar is divided equally into 4 parts
Number of shaded Portions = 3
Representing Strip A as a fraction :
Number of shaded portions / Total number of portions
Strip A = 3/4
Strip BBar is divided equally into 8 parts
Number of shaded Portions = 6
Representing Strip B as a fraction :
Number of shaded portions / Total number of portions
Strip A = 6/8 = 3/4
Therefore, strips are equivalent because the shaded area of strip A is the same as the shaded area of strip B.
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a disease has hit a city. the percentage of the population infected t days after the disease arrives is approximated by p(t) for 0t. after how many days is the percentage of infected people a maximum? what is the maximum percent of the population infected?
The number of days would be 10 and the maximum percent of the population infected would be 25.752%.
What are exponential functions?
The exponential function, denoted by \(e^x\), is a mathematical function. Unless otherwise specified, the term refers to a positive-valued function of a real variable, though it can be extended to complex numbers or generalized to other mathematical objects such as matrices or Lie algebras.
\(p(t) = 7te^{-\frac{t}{10}}\)
percentage of infected people a maximum when p '(t) = 0
\(p '(t) = 7(1)e^\frac{-1}{10} +7te^\frac{-t}{10}(\frac{-1}{10})\\\\p'(t)=e^{-\frac{t}{10}}(7 -\frac{7t}{10})\\\\e^{-\frac{t}{10}}(7 -\frac{7t}{10})=0\\\\7 -\frac{7t}{10}=0\\\\t = 10\)
Hence percentage of infected people reaches a maximum after 10 days
maximum percent of the population infected = p(10)
\(p(10) = 7(10)e^{-\frac{10}{10}}\\\\p(10)=\frac{70}{e}\\\\P(10)=25.752\%\)
Hence, the number of days would be 10 and the maximum percent of the population infected would be 25.752%.
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How do you prove that two angles are congruent in two triangles?
To prove that two angles in two triangles are congruent, you must use the Angle-Angle Postulate (AA). The Angle-Angle Postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are congruent.
Therefore, to prove that two angles in two triangles are congruent, you must first show that the two angles have the same measure. This can be done by using the Angle Addition Postulate or by using subtracting the measure of one angle from the measure of the other.
How are triangles formed?Three vertices and three sides make up a triangle, which is a polygon. The triangle's angles are created when the three sides are joined end to end at a point. The three angles of the triangle sum up to 180 degrees.
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Please anyone help me
If die is rolled two times, find the probably of getting "1'twice.
Math Answer\( {1}\{36} \)
Feel fre e too ask me
Please understand it
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please help factorise 7ab+a
Answer:
= a(7b + 1)
Step-by-step explanation:
7ab + a
a(7b + 1).
Find the measure of one angle of the regular polygon.
Answer:
3 x 180=540
540/5 =108
Megan is collecting cans for a food drive. The number of cans she has collected so far is shown in the table. Which number of cans collected on day 6 will give Megan’s data a mean absolute deviation of 8.3?
A) 50
B) 56
C) 60
D) 66
Answer:
Step-by-step explanation:
c
For this question it would have helped to have a graph but, the answer is 50. Hope this helps
what is the slope of the line ( -1,8 ) and ( 3, -4 )
A scale that allows us to rank individuals or objects, but not to say anything about the meaning of the differences between the ranks, is a(n)?
A scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.
What is an ordinal scale?An ordinal scale is one that allows us to rank individuals or objects without saying anything about the significance of the differences between the ranks. The ordinal scale is the second level of measurement that reports data ranking and ordering without determining the degree of variation between them. Cases in the same class are regarded as equivalent. Movie ratings, political affiliation, military rank, and other variables that use ordinal scales are examples."Movie ratings" is an example of an ordinal scale. Students in a class, for example, could rate a movie using the scale below.Therefore, a scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.
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Leo makes a cake by mixing flour, eggs and sugar in the ratio 5 : 3 : 2. If he uses 120 g of sugar, what weight of eggs will he need?
Answer:
180g of eggs
Step-by-step explanation:
divide 120 by 2 = 60
then times 60 by 3 = 180g
Use conditional proof and the eighteen rules of inference to derive the conclusions of the following symbolized arguments. Having done so, attempt to derive the conclusions without using conditional proof.
1. N ⊃ O
2. N ⊃ P / N ⊃ (O • P)
The conclusion of the symbolised argument is that N implies (O and P). This can be proven using conditional proof and the eighteen rules of inference, or using the rule of conjunctive simplification.
The symbolic argument's conclusion is that N implies (O and P). This can be demonstrated using conditional proof and the eighteen inference rules.
Proof:
1. N ⊃ O (Premise)
2. N ⊃ P (Premise)
3. N (Assumption)
4. O (1,3 Modus Ponens)
5. P (2,3 Modus Ponens)
6. O•P (4,5 Conjunction)
7. N ⊃ (O•P) (3-6 Conditional Proof)
8. N ⊃ (O•P) (2,7 Disjunctive Syllogism)
This leads us to the conclusion that N implies (O and P).
Without the use of conditional proof, the identical result can be reached. The conjunctive simplification rule can be used to do this.
Proof:
1. N ⊃ O (Premise)
2. N ⊃ P (Premise)
3. N (Assumption)
4. O (1,3 Modus Ponens)
5. P (2,3 Modus Ponens)
6. O•P (4,5 Conjunction)
7. N ⊃ (O•P) (Conjunctive Simplification)
Therefore, we have derived the conclusion that N implies (O and P).
Complete Question:
Use conditional proof and the eighteen rules of inference to derive the conclusions of the following symbolized arguments. Having done so, attempt to derive the conclusions without using conditional proof.
1. N ⊃ O
2. N ⊃ P / N ⊃ (O • P)
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WILL GIVE BRAINLIEST ASAPPP AND WILL VENMO MONEY
Answer: wrong question
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
57+ (4x+4) + (7x+9) = 180
(4x+4) + (7x+9) = 180-57
(4x+4) + (7x+9) = 123
4x+4 + 7x+9 = 123
4x+7x + 4+9 = 123
11x+13=123
11x=123-13
11x=110
x=110/11
x=10
Solve for x. Round to the nearest tenth, if necessary.
Answer:
x=3.5 cm
Step-by-step explanation:
90/2 = 45 degrees
Soh Cah Toa
We have opposite and hypotenuse making sin.
Length×Sin(Angle)
5×Sin(45) = 3.53553cm
Rounded the the nearest tenth makes 3.5cm
The logarithm form of 5^3 =125 is equal to
a. log5 125 = 3 b. log5 125 = 5
c. log3 125 = 5 d. log5 3 = 3
The correct logarithm form is: a. log5 125 = 3
Question is about finding the logarithm form of 5³ = 125 using the given options.
The correct logarithm form is:
a. log5 125 = 3
Here's the step-by-step explanation:
1. The exponential form is given as 5³= 125.
2. To convert it to logarithm form, you have to express it as log(base) (argument) = exponent.
3. In this case, the base is 5, the argument is 125, and the exponent is 3.
4. Therefore, the logarithm form is log5 125 = 3.
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Kathy tests her new sports car by racing with Stan, an experienced racer. Both start from rest, but Kathy leaves the starting line 1.00 s after Stan does. Stan moves with a constant acceleration of 3.8 m/s2 while Kathy maintains an acceleration of 4.49 m/s2. A) Find the time at which Kathy overtakes Stan. B) Find the distance she travels before she catches him. C) Find the speeds of both cars at the instant she overtakes him.
In this scenario, Kathy and Stan engage in a race, with Kathy starting 1.00 second after Stan. Stan maintains a constant acceleration of 3.8 m/s^2, while Kathy accelerates at a rate of 4.49 m/s^2. We need to determine the time at which Kathy overtakes Stan, the distance she travels before catching him, and the speeds of both cars at the moment Kathy overtakes Stan.
A) Kathy will overtake Stan when her displacement equals Stan's displacement. To calculate the time at which this occurs, we can use the equation:
s = ut + (1/2)at^2,
where s represents the displacement, u represents the initial velocity, a represents the acceleration, and t represents time. Rearranging the equation to solve for t:
t = √((2s)/a),
we find that Kathy overtakes Stan after approximately 7.26 seconds.
B) To determine the distance Kathy travels before catching Stan, we can use the equation:
s = ut + (1/2)at^2.
Substituting the values for Kathy's acceleration and the time calculated in part A, we find that Kathy covers a distance of approximately 98.24 meters.
C) At the instant Kathy overtakes Stan, their speeds will be equal. We can calculate their speeds using the equation:
v = u + at,
where v represents the final velocity, u represents the initial velocity, a represents the acceleration, and t represents time. Substituting the values for Kathy's acceleration and the time calculated in part A, we find that Kathy's speed at the moment she overtakes Stan is approximately 32.49 m/s. Since Kathy started 1.00 second after Stan, Stan's speed at that instant would be his initial speed plus the product of his acceleration and the time difference, resulting in approximately 25.8 m/s.
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What is the surface area of a cube if the cube has a base of 10ft, 10ft, 10ft
What is the value of the expression below when y = 3?
10y - 8
Answer:
22Step-by-step explanation:
Given, y = 3substitute this value in given expression
=> 10y - 8
=> 10(3) - 8
=> 30 - 8
=> 22...ans
HOPE IT HELPS U!!!!Mrs. Chiu checks 30 problems in 2 minutes. How many problems can Mrs. Chiu check in 68 minutes?
Define the slope of the slope-intercept line form y=mx+b in terms of A,B and C belonging to the standard form of the linear equation Ax+By=C.
The definition of slope-intercept form y=mx+b is given below.
What is a line explain?A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it. Collinear points are two points that are located on the same line.
What are the types of lines?In geometry, there are two types of lines: straight and curved. Vertical and horizontal straight lines are further divided into categories. Parallel, intersecting, and perpendicular lines are further types of lines.
In the given question:-
The value of the steepness or the direction of a line in a coordinate plane is referred to as the slope of a line, also known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope may be determined using a variety of approaches.
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Michael is trying to determine where to open two new store locations. He has population data to determine the amount of revenue he will receive for each location. He is charged a \( \$ 1000 \) fee for
Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store.
Michael is trying to determine where to open two new store locations. He has population data to determine the amount of revenue he will receive for each location.
He is charged a $1000 fee for opening a new store at a certain location. However, he is unsure whether the population of the city would be large enough to warrant opening a new store at that location.
The first step that Michael needs to take is to analyze the population data that he has.
Based on the population data, he needs to make an informed decision about whether or not to open a new store at that location. This would require him to take into consideration the average income of the population as well as the demographics of the city.
Another important factor that Michael needs to take into consideration is the competition in the area. If there are already several stores in the area, then opening a new store might not be a good idea.
This is because the competition would be too high and he would not be able to generate enough revenue to make up for the cost of opening a new store.
However, if there are no stores in the area, then Michael might consider opening a new store. This would require him to invest a significant amount of money, but he could also generate a significant amount of revenue in return.
Additionally, he needs to take into consideration the cost of opening a new store and whether or not he can generate enough revenue to make up for that cost.
Overall, Michael needs to carefully analyze all the data that he has before making an informed decision about where to open new store locations.
In conclusion, Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store. If the population is large enough and there is no competition in the area, then he should consider opening a new store. However, if there is already a significant amount of competition in the area, then he should avoid opening a new store.
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Are the following linear equations? If they are, put them in the form Lu linear operator L, and classify them as homogeneous or inhomogeneous:
(A) Ut = (xux)2 + (yuy)y + xy (B) uux + Uxxx = Ut (C) Utt = Uxxxx + Uyyyy
A homogeneous equation.
Yes, the following are linear equations:
(A) Ut = (xux)2 + (yuy)y + xy
This equation can be put in the form Lu linear operator L as follows: LAUt = 0, which is a homogeneous equation.
(B) uux + Uxxx = Ut
This equation can be put in the form Lu linear operator L as follows: LBu = Ut, which is an inhomogeneous equation.
(C) Utt = Uxxxx + Uyyyy
This equation can be put in the form Lu linear operator L as follows: LCT = 0, which is a homogeneous equation.
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what is the following product? Assume x>0 3root x^2 times 4 root x ^3
The product is 3x * 4x^(3/2) = 12x^(5/2)
How to do the product of root?
When multiplying two terms with the same base and different exponents, you can add their exponents.
For example, √(a^m) * √(a^n) = √(a^m * a^n) = √(a^(m+n)) = a^((m+n)/2)
The product of 3√(x^2) * 4√(x^3) is equal to:
12x^(5/2)
This is because when you multiply two terms with the same base, you can add their exponents:
3√(x^2) * 4√(x^3) = (3*4)√(x^(2+3/2)) = 12x^(5/2)
This is because
√(x^2) = x^(2/2) = x
√(x^3) = x^(3/2) = x^(3/2)
so we can write 3root x^2 = 3x and 4root x^3 = 4x^(3/2)
Hence, the product is 3x * 4x^(3/2) = 12x^(5/2)
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Can yall help me with this pls its due rn and im cryinggggg ill definetly give brainliesttt : (
Answer:
In the first box, put 24y
In the second box, put 16
Step-by-step explanation:
3y x 8 = 25y
8 x 2 = 16
Hope that helps! :)
<3 Cin
Karly borrowed $6,200 from her parents for 4 years at an annual simple interest rate of 2. 8%. How much interest will she pay if she pays the entire loan at the end of the fourth year? Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0. 61, only the number 0. 61 should be entered
The interest Karly will pay on the entire loan at the end of the fourth year is approximately $694.40.
Principal = $6,200
Rate = 2.8% = 0.028 (expressed as a decimal)
Time = 4 years
To calculate the interest Karly will pay,
Use the simple interest formula,
Interest = Principal × Rate × Time
Now , substitute these values into the formula to find the interest,
Interest = $6,200 × 0.028 × 4
Calculating this expression,
⇒ Interest = $6,200 × 0.112
⇒ Interest = $694.4
Therefore, , the interest Karly will pay is approximately $694.40.
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Fatma has $182,000.00 that she will use for her monthly expenses of $1,350.00. What rate of return does her account need to earn in order to stretch this money out for 17 years? She will make the first withdrawal on September 8,2022.
Fatma's account needs to earn a rate of return of approximately 0.2957% per month to stretch her money out for 17 years.
To determine the required rate of return for Fatma's account, we can use the future value formula:
FV = PV * (1 + r)^n
Where:
FV = Future value (amount needed for 17 years of expenses)
PV = Present value (initial amount Fatma has)
r = Rate of return
n = Number of compounding periods (monthly withdrawals over 17 years)
Given:
PV = $182,000.00
Monthly expenses = $1,350.00
Number of years = 17
Number of compounding periods = 17 years * 12 months = 204 months
We can rearrange the formula to solve for the required rate of return (r):
r = (FV / PV)^(1/n) - 1
Substituting the given values:
FV = $1,350.00 * 204 = $275,400.00
r = ($275,400.00 / $182,000.00)^(1/204) - 1
Calculating this expression:
r ≈ 0.002957 (approximately 0.2957%)
Therefore, Fatma's account needs to earn a rate of return of approximately 0.2957% per month to stretch her money out for 17 years.
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