The unknown value is [tex]\frac{a}{b} *100[/tex]
Let the unknown value is x
From the question, we have
a/b = x/100
[tex]x = \frac{a}{b} *100[/tex]
Percentage:
To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed.
A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %. The ratio of the increased value to the original value, multiplied by 100, is the percentage increase formula. It is outlined as a percentage. Anything's value will increase if it is valued more, so will its proportion.
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2500 dollars is placed in an account with an annual interest rate of 9%. To the nearest year, how long will it take for the account value to reach 7500 dollars?
It will take 22 years for the account value to reach $7500 with an annual interest rate of 9% per year.
According to the question,
We have the following information:
2500 dollars is placed in an account with an annual interest rate of 9%.
We know that following formula is used to find simple interest:
Simple interest = principal*rate*time/100
Now, the simple interest on any amount will be equal to the total amount after interest minus the principal amount:
7500-2500
5000
So, we have the following expression:
(2500*9*t)/100 = 5000
Now, using cross multiplication method:
t = (5000*100)/(2500*9)
t = 200/9 years
t = 22.2 years
Now, the nearest year will be 22 years.
Hence, it will take 22 years for the account value to reach $7500 with an annual interest rate of 9% per year.
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URGENT!! ILL GIVE
BRAINLIEST!!!! AND 100 POINTS!!!
Classify the polynomial by its name: 3
A) monomial
B) binomial
C) trinomial
D) other polynomial
Multi-Step Problem You are choosing between two electricity providers. The Zap Electric Company charges $0.06 per kilowatt hour plus a $6.55 monthly service fee. The Bolt Electric Company charges $0. 12 per kilowatt hour plus a $2.83 monthly service fee. a. Let r represent the number of kilowatt hours you use in one month, and let y represent the total cost of your electric service. Write the two equations representing the cost of each company's service for one month.
The total cost for Zap Electric Company and Bolt Electric Company are y = 0.06r + 6.55 and y = 0.12r + 2.83
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let r represent the number of kilowatt hours you use in one month, and let y represent the total cost of your electric service.
The Zap Electric Company charges $0.06 per kilowatt hour plus a $6.55 monthly service fee. Hence:
y = 0.06r + 6.55
The Bolt Electric Company charges $0. 12 per kilowatt hour plus a $2.83 monthly service fee. Hence:
y = 0.12r + 2.83
The cost is y = 0.06r + 6.55 and y = 0.12r + 2.83
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Juan works 40 hours per week. He earns $9 per hours. How much does Juan earn in one week?
Answer:
2,500
Step-by-step explanation:
40 × 7 × 9
=2,500d dollars
A boat sail is a right triangle. The length of one side of the sail is 7 feet more than the other side. The hypotenuse is 13 feet find the length of two sides of the sail.
Base of the Sail is 12 feet and Height of the Sail is 5 feet
What is Right Angle Triangle?
A right triangle or right-angled triangle, or more technically an orthogonal triangle, historically known as a rectangled triangle, is a triangle with one right angle (that is, a 90-degree angle) and two perpendicular sides. Trigonometry is founded on the relationship between the sides and other angles of a right triangle.
Solution:
Accroding to the Question,
Let, Base = x and Height = y
x = 7 + y
Using the Pythagorous Theorem
[tex]Base^{2} + Perpendicular^{2} = Hypotenuse^{2}[/tex]
[tex]x^{2} + y^{2} = 13^{2}[/tex]
Using the above mentioned relation
49 + y^2 + 14y + y^2 = 169
2y^2 + 14y - 120 = 0
Discriminant = 34
y = 5, -12
The length of a sail can not be neegative, therefore y = 5
From the equation 1, x = 12
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Damari needs to paint the circular concrete mural at the
park. The mural has a diameter of 45 feet. A gallon of
paint covers approximately 300 square feet. Each
gallon is $18.99. How much will Damari spend in order
to paint the mural? Use 3.14 to approximate I and
round your answer to two decimal places.
The total spent to paint the mural which is circular with a diameter of 45 feet will be $100.67.
What is a circle?A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.
The longest line which can be drawn inside the circle will be the diameter.
The perimeter of the circle = 2πr where r is the radius of the circle.
As per the given,
Diameter = 45 feet so radius 45/2 = 22.5 feet
Area of circle = πr² = π(22.5)² = 1590.43 feet²
Since one gallon covers 300 square feet.
Number of gallons needed to cover the whole area,
1590.43/300 = 5.30
Cost of one gallon = $18.99
Total spend = 5.30 × 18.99 = $100.67
Hence "The total spent to paint the mural which is circular with a diameter of 45 feet will be $100.67".
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Factor the polynomial completely.
x4 + 2x2 - 35
Answer:
[tex](x^2+7)(x^2-5)[/tex]
Identify the number line that correctly displays the solution x ≥ 3.
The Graph of x ≥ 3 is attach below
The definition of a linear inequality
The inequality symbol is used to compare two mathematical expressions in what are referred to as linear inequalities. The expression could be both numerical and algebraic, or it could just be one.
What does a linear inequality in mathematics look like?
What Is an Example of Linear Inequality? An example is the linear inequality x - 5 > 3x - 10. The LHS is obviously greater than the RHS because the greater than symbol is being used in this inequality. After being resolved, the inequality appears as follows: 2x 5 x (5/2).
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2/3n + 4 = -26 we cant figure this out pls help
Answer:
n = -45
Step-by-step explanation:
2/3n + 4 = -26
subtract 4 from both sides:
2/3n + 4 - 4 = -26 - 4
2/3n = -30
divide both sides by 2/3:
(2/3n)/(2/3) = (-30)/(2/3)
n = -45
Answer:
n=-45
Step-by-step explanation:
2/3n+4=-26
-4. -4
2/3n=-30
/2/3. /2/3
n=-30/1 *3/2
n=-90/2
n=-45
Hopes this helps please mark brainliest
Combine the like terms to create an equivalent expression 5 + 2m + 3n + 6
Answer:
2m + 3n + 11
Step-by-step explanation:
You cannot combine the m and the n terms, but you can combine 5 and 6
Jacob has a coin collection. He keeps 5 of the coins in his box, which is 10% of the collection. How many total coins are in his collection?
The number of coins that are in Jacob's collection is 50
How to find the number of coinsinformation from the problem
Jacob has a coin collection
He keeps 5 of the coins in his box, which is 10% of the collection
The question is a percentage problem, percentage deals with a fraction hundred and used as follows
10%
= 10 percent
= 10 / 100
= 0.1
The factor 0.1 of the total number of coin is 5
let the total number be x
0.1 * x = 5
0.1x = 5
x = 5 / 0.1
x = 50
The total number of coins is 50
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Using your same definition, what are the zeros of this function?
The zeros of the given function are -2, and 1 in the represented graph.
What are the zeros in the function?A function's zeros are the values of x when f(x) equals 0. As a result, its name. This indicates that when f(x) = 0, x is a function zero. When the graph crosses through x = a and is considered to be the function's zero. As a result, (a, 0) is a function zero.
The graph is given in the question,
According to the shown graph, the function in the given graph has located at the x-axis of the plane, which is the location or coordinates from where the line crosses which are -2, and 1.
Therefore, the zeros of the given function are -2, and 1 in the represented graph.
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Question 7(Multiple Choice Worth 2 points)
(Proportional Relationships MC)
Three different recipes each make a different number of cookies and require a different amount of flour.
Recipe 1: 3 dozen cookies; 4.5 cups of flour
Recipe 2: 4 dozen cookies; 6 cups of flour
Recipe 3: 5 dozen cookies; 7.5 cups of flour
Determine if the three recipes use a proportional amount of flour.
Yes, it is proportional because the cookies increase by 1.5 dozen for every 1 cup of flour.
Yes, it is proportional because the ratios between the number of cookies and cups of flour are all equivalent.
No, it is not proportional because the number of cookies and cups of flour could not be zero at the same time.
No, it is not proportional because the ratios between the number of cookies and cups of flour are not all equivalent.
Answer:
Yes, All the three recipes use a proportional amount of flour.
Step-by-step explanation:
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
There are three different recipes to make cookies for different amount of flour.
Recipe 1 = 3 dozen cookies and 4.5 cups of flour
Recipe 2 = 4 dozen cookies and 6 cups of flour
Recipe 3 = 5 dozen cookies and 7.5 cups of flour
Now,
To check that all the recipes in proportion, we check the amount of flour for 1 dozen cookies.
For recipes 1;
The amount of flour = 4.5 / 3
= 1.5
For recipe 2;
The amount of flour = 6 / 4
= 1.5
For recipe 3;
The amount of flour = 7.5 / 5
= 1.5
Clearly, All are the same amount to make 1 dozen of cookies.
So, The all recipes are in proportions.
Therefore, All the three recipes use a proportional amount of flour.
How many three-letter sequences can be made from the word "COMBINATORICS" where no 2 letters can be the same?
The number of three-letter sequences that can be made from the word "COMBINATORICS" where no 2 letters can be the same is 720 ways
How to find the number of waysThe question is asking of permutation
arranging the letters without repeating a word gives
COMBINATORICS ⇒ COMBINATRS
The newly arranged word gives 10 letters and arranging 10 letters by taking 3 at a time is 10P₃
The required permutation is 10P₃
10P₃
= 10! / (10 - 3)!
= 10! / 7!
= 720
= 720 ways
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Use the diagram to answer both questions.
The value of x : 56
What is Angle?
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. Dihedral angles are these.
Given,
∠A = (2x - 6)°
∠B = 74°
Since, we have to find the value of x
we have to find it by Linear equation
∠A + ∠B = 180°
Substituting the values we have
(2x - 6)° + 74° = 180°
2x - 6 + 74 = 180
2x + 68 = 180
2x = 180 - 68
2x = 112
x = 112/2
x = 56
The value of ∠A = 56 - 6 = 60°
Hence, The value of x = 56
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A man wants to set up a 529 college savings account for his granddaughter. How much would he need to deposit each year into the account in order to have $50,000 saved up for when she goes to college in 16 years, assuming the account earns a 6% return.
The person has to deposit $1948.05 per year.
what is compound interest?
Interest that is added to a loan or deposit sum is known as compound interest. In our daily lives, it is the notion that is employed the most frequently. Compound interest is calculated for a sum using the principal and interest accrued over time. Compound interest and simple interest differ primarily in this way.
In the given question, to find the value to be added per year we will use the formula.
[tex]P= \frac{A \times \frac{r}{n}} {(1 +\frac{r}{n})^{t} - 1}[/tex]
Here A = 50,000
r (rate of interest) = 6 % or 0.06.
n = 1
t = 16
P = value deposit per year
On substituting the values,
[tex]P= \frac{50000 \times 0.06} {(1 +0.06)^{16} - 1}[/tex]
P = 3000 / 2.54- 1
= $1948.05 .
Therefore, person has to deposit $1948.05 per year.
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Which expression is equivalent to N/4+n/4+n/4+n/4
Answer: 4[tex]\frac{n}{4}[/tex]
Step-by-step explanation:
The equation of the line that passes through the given points (4,6) and (4.2)
Answer: ___________________________________________________
x = 4
help please. what are these? thank you.
8. The value of x is 9
9. The value of x is 9
10. The value of x is 36
11. The value of x is 8
Calculating the value of xFrom the question, we are to determine the value of x in the given diagram.
8.
2x + 12 = 5x - 15
Collect like terms
12 + 15 = 5x - 2x
27 = 3x
3x = 27
Divide both sides by 3
3x/x = 27/3
x = 9
9.
8x - 63 = 4x - 27
Collect like terms
8x - 4x = -27 + 63
4x = 36
Divide both sides by 4
4x/4 = 36/4
x = 9
10.
(3x - 18)° = 90°
3x - 18 = 90
Add 18 to both sides
3x - 18 + 18 = 90 + 18
3x = 108
Divide both sides by 3
3x/3 = 108/3
x = 36
11.
Since the angles are complementary, we can write that
(3x)° + (8x + 2)° = 90°
3x + 8x + 2 = 90
11x + 2 = 90
Subtract 2 from both sides of the equation
11x + 2 - 2 = 90 -2
11x = 88
Divide both sides by 11
11x/11 = 88/11
x = 8
Hence, the value of x is 8
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A male elephant at the city zoo weighs 8,000 pounds, which is the same as 4 tons. The female elephant weighs 7,000 pounds. How many tons does she weigh?
Answer:
3.5 tons
Step-by-step explanation:
We can use the information we already have to figure out how much 1 ton is. In the equation: 8,000/4 will give us how many pounds per ton. The answer to that is 2,000 pounds per ton. So, if we divide the number of tons the female elephant is by how many pounds a ton is, we use the equation: 7,000/2,000, which equals 3.5 tons.
order from greasest to least ; 3.84,3.789,3,3 41/50
Answer: 3.84 , 3 41/50 , 3.789 , 3
True or false
A credit union is an example of a service cooperative.
Answer:
false
Step-by-step explanation:
Credit Unions are not-for-profit financial service cooperatives
(a) Find the derivative of f(x)=(x2+2)(4x−3) by first expanding the polynomials.
Enter the fully simplified expression for f(x) after expanding the polynomials.
f(x)=
Enter the derivative of f(x).
f'(x)=
(b) Find the derivative of f(x)=(x2+2)(4x−3) by using the product rule. Let g(x)=x2+2 and h(x)=4x−3 .
g'(x)=
h'(x)=
f'(x)=
(c) Are the expressions for the derivative in (a) and (b) the same?
(a) By expanding, the derivative of the polynomial is f'(x) = 12x² - 6x + 8
(b) Using the product rule, the derivative of the polynomial is f'(x) = 12x² - 6x + 8
(c) The expressions for the derivative in (a) and (b) are the same
Determining the derivative of polynomialsFrom the question, we are to determine the derivative of the given polynomial.
The given polynomial is f(x) = (x² + 2)(4x - 3)
(a) By expanding the polynomial, we get
f(x) = (x² + 2)(4x - 3)
f(x) = x²(4x - 3) +2(4x - 3)
f(x) = 4x³ - 3x² + 8x - 6
∴ f'(x) = 12x² - 6x + 8
(b) By using the product rule
f(x) = (x² + 2)(4x - 3)
g(x) = x² + 2
and
h(x) = 4x - 3
Thus,
g'(x) = 2x
h'(x) = 4
From the product rule
f'(x) = g(x).h'(x) + h(x).g'(x)
f'(x) = (x² + 2)(4) + (4x - 3)(2x)
f'(x) = 4x² + 8 + 8x² - 6x
Collect like terms
f'(x) = 4x² + 8x² - 6x + 8
∴ f'(x) = 12x² - 6x + 8
(c) The expressions are the same
Hence,
The derivative is f'(x) = 12x² - 6x + 8
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Answer the questions below! Thank you^^
a) The Factor of -4x² + 12x is 4x( -x +3)
b) The multiplication of (4.8x)(4x) is 19.2x²
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
-4x² + 12x
Now, factorizing
4x²= 2 x 2× x × x
12x = 2 ×2× 3 × x
So, the factor can be
-4x² + 12x
= -2 x 2× x × x + 2 ×2× 3 × x
= 4x( -x +3)
and, (4.8x) ×4x
= 4.8 × 4 × x × x
= 19.2x²
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Write the equation of the parabola that has the same shape as f(x)=-3 x² but with vertex (5,9) in the form f(x)=a(x-h)²+k.
f(x)=
The parabola equation in its vertex form is f(x) = -3(x - 5)² + 9
How to determine the equation of the parabola?From the question, we have the function to be
f(x) = 3x²
Also, we have the vertex to be given as
Vertex = (5, 9)
A quadratic function takes the form:
f(x) = a(x - h)² + k
Where
Vertex = (h, k)
So, we can rewrite f(x) = 3x² as follows
f(x) = 3(x - 0)² + 0
By comparing the equations, we have
a = 3
Also, by comparison, we have
(h, k) = (5, 9)
Substitute a = 3 and (h, k) = (5, 9) in f(x) = a(x - h)² + k
So, we have
f(x) = 3(x - 5)² + 9
Hence, the equation of the parabola is f(x) = -3(x - 5)² + 9
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M. |h-8| = |h+ 10|
Find the value of the variable which satisfies the equation.
Write these fractions as percentage 2/3
Answer: 66%
Step-by-step explanation: To convert a fraction to a percentage, divide the top number by the bottom number. For example, [tex]\frac{1}{4}[/tex] is 25% because if divide them, (1÷4=0.25) then we get 25%. So, for this problem, we solve 2÷3, which equals 0.66, or 66%.
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Simplify 6/7c − 5/9d − 1/2 c + 1/3d
A: 514c − 29d
B: 59c + 412d = 59c +13d
C: 59c − 412d = 59c −13d
D: 514c + 29d
The simplified form of the expression [tex]\frac{6}{7}c-\frac{5}{9}d-\frac{1}{2}c+\frac{1}{3}d[/tex] is [tex]\frac{5}{14}c-\frac{2}{9}d[/tex]
How to simplify an expression?In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)
Therefore, let's simplify the expression as follows:
To simplify an expression means to write an equivalent expression which contains no similar terms.
his means that we will rewrite the expression with the fewest terms possible.
Hence,
[tex]\frac{6}{7}c-\frac{5}{9}d-\frac{1}{2}c+\frac{1}{3}d[/tex]
combine like terms
[tex]\frac{6}{7}c-\frac{1}{2}c-\frac{5}{9}d+\frac{1}{3}d[/tex]
Do the arithmetic
[tex]\frac{12c-7c}{14}+\frac{-5d+3d}{9}[/tex]
[tex]\frac{5}{14}c-\frac{2}{9}d[/tex]
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In all the cases shown below, the velocity vectors v₁ and v₂ have the same length.
a)
b)
c)
d)
In which case does Δv=v₂-v₁ have the largest absolute value?
A. a
B. b
C. c
D. d
The case of the velocity vectors, v₁ and v₂ that yield the largest absolute value of Δv = v₂ - v₁ is the case of option B. b
What is a velocity vector?A velocity vector provides an indication of s particle's speed and direction of motion.
The vectors in the question can be expressed using vector notation as follows;
a) [tex]\vec{v_1}[/tex] = i + j
[tex]\vec{v_2}[/tex] = i + j
Δv = v₂ - v₁ is therefore;
v₂ - v₁ = i - i + j - j = 0
Δv = 0
b) [tex]\vec{v_1}[/tex] = i + j
[tex]\vec{v_2}[/tex] = -i - j
Δv = v₂ - v₁ is therefore;
v₂ - v₁ = i - (-i) + j - (-j) = 2·i + 2·j
Δv = 2·i + 2·j
c) [tex]\vec{v_1}[/tex] = i + j
[tex]\vec{v_2}[/tex] = i - j
Δv = v₂ - v₁ is therefore;
v₂ - v₁ = i - i + j - (-j) = 2·j
Δv = 2·j
d) [tex]\vec{v_1}[/tex] = i + j
Comparing the vertical and horizontal lengths of the arrows, indicates;
[tex]\vec{v_2}[/tex] ≈ -1.2·i - 0.5·j
Δv = v₂ - v₁ is therefore;
v₂ - v₁ = i - (-1.2·i) + j - (-0.5·j) = 2.2·i + 1.5·j
Δv = 2,2·j + 1,5·j
Option (b) and (d) have the largest values, however, their magnitudes are;
b) |Δv| = √(2² + 2²) = 2·√2 ≈ 2.83
d) |Δv| = √(2.2² + 1.5²) ≈ 2.66
Therefore, option b has the largest absolute value for Δv = v₂ - v₁
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