Step-by-step explanation:
Arrangement according to her priorities are as follow:
1) Finish homework which is due the next day (Tuesday).
2) Prepare for a French test that is due on Thursday.
3) Prepare a science project that is due on the following Monday.
4) Prepare for the algebra test that is on the next friday.
5) Complete her essay that is due in two weeks.
6) Plan a surprise party for her best friend's birthday that is on weekend after next.
The scale factor of the blueprint of a garage door to the actual garage door is 0.05. the are of the actual garage door is 220 ft^2.
What is the area of the garage door on the blueprint?
A. 0.55ft^2
B. 5.5ft^2
C. 11ft^2
D. 55ft^2
Answer:
option A
[tex]0.55\ ft^{2}[/tex]
Step-by-step explanation:
Let
x-------> the area of the garage door on the blueprint
y------> the area of the actual garage door
z------> scale factor
we know that
The scale factor squared is equal to the area of the garage door on the blueprint divided by the area of the actual garage door
so
[tex]z^{2}=\frac{x}{y}[/tex]
In this problem we have
[tex]z=0.05, y=220\ ft^{2}[/tex]
substitute the values and solve for x
[tex]0.05^{2}=\frac{x}{220}[/tex]
[tex]x=220(0.05^{2})[/tex]
[tex]x=0.55\ ft^{2}[/tex]
Money is invested into an account earning 4.25% interest compounded annually. If the accumulated value after 18 years will be $25,000, approximately how much money is presently in the account?
a.
$5,875
b.
$11,820
c.
$19,125
d.
$23,960
The amount of money that is presently in my investment account is $11,820.
How much is presently in my account?The formula that can be used to determine the amount in my account presently is:
P = FV / (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of years25,000 / (1.0425)^18 = $11,820
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Final answer:
To find the current amount needed to reach $25,000 in 18 years at a 4.25% interest rate, the formula P = A / (1 + r)^n is used. Plugging in the values gives P ≈ $11,820, indicating that approximately $11,820 is currently in the account. Thus, the correct answer is (b) $11,820.
Explanation:
The question asks how much money needs to be present in an account now to reach a future value of $25,000 in 18 years at an annual compound interest rate of 4.25%. To find the present value, we use the formula for compound interest: P = A / (1 + r)^n, where P is the present value, A is the amount of money accumulated after n years, inclusive of interest, r is the annual interest rate (decimal), and n is the number of years the money is invested for.
In this case, A = $25,000, r = 0.0425 (4.25%), and n = 18 years. Plugging these values into the formula gives: P = $25,000 / (1 + 0.0425)^18. Calculating this gives us P ≈ $11,820, which means the amount of money currently in the account to reach $25,000 in 18 years at a 4.25% annual interest rate compounded annually is approximately $11,820. Therefore, the correct answer is (b) $11,820.
What are the values for the coefficients and constant term of 0 = 2 + 3x2 – 5x?
A=
B=
C=
Keywords:
Polynomial, variable, coefficients, constant term.
For this case, the first thing we must do is rewrite the polynomial in a standard way. For this, we reorder the polynomial coefficients.
The standard form of the polynomial is:
[tex]ax ^ 2 + bx + c[/tex]
Where,
a, b, c: are the coefficients of the polynomial.
x: is the variable
Rewriting the polynomial we have:
[tex]3x ^ 2-5x + 2[/tex]
Comparing with the standard form we have that the values of the coefficients are given by:
[tex]a = 3\\b = -5\\c = 2[/tex]
Answer:
The values for the coefficients and constant term are:
[tex]a = 3\\b = -5\\c = 2[/tex]
Answer:
a= 3 b= -5 c=2
Step-by-step explanation:
i just did it on edge
What is the range of these numbers?
8,4,9,2,3
A BOOKSTORE ORDERED 2 GROSS, 11 DOZEN AND 7 PENCILS. EXPRESS THIS NUMBER IN BASE TWELVE AND BASE TEN? ...?
What part of the coordinate plane is equidistant from the points A(-3,2) and B(3,2)? Explain your answer.
Answer;
(0,2)
Step-by-step explanation:
If r = 8 units and x = 5 units, then what is the volume of the cylinder shown above?
Solve for x: 2|x − 3| + 1 = 7
x = 0, x = 6
x = −1, x = 6
x = 0, x = 9
No solutions
A class of 28 students. the ratio of girls of 3 girls 4 boys. what is the ratio for the number of boys to total number students in the class?
What is the slope of a line that runs parallel to y = x + 14?
A farmer wants to build a pen for his sheep. One side of the pen will be a river. The sheep need about 2000 m2 of area to graze. About what length (x) and width (y) should the organization use to use the LEAST amount of fencing possible?
Find the measure of each angle indicated.
The solutions are as follows:
11) 110 - alternate exterior angles
12) 84 - alternate interior angles
13) 80 - supplementary angles
14) 111 - alternate interior angles
15) 125 - alternate interior angles
16) 47 - alternate exterior angles
17) 53- corresponding angles
18) 113-alternate interior angles
Here, we have,
from the given figure, we get,
11) the required angle is alternate exterior angle of 110,
so, the value is 110.
12) the required angle is alternate interior angle of 84
so, the value is 84
13) the required angle is supplementary angle of 100
so, the value is 80
14) the required angle is alternate interior angle of 111
so, the value is 111
15) the required angle is alternate interior angle of 125
so, the value is 125
16) the required angle is alternate exterior angle of 47,
so, the value is 47.
17) the required angle is corresponding angle of 53
so, the value is 53.
18) the required angle is alternate interior angle of 113
so, the value is 113.
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Which is the last operation performed when evaluating (8-2x)^2+4 for x=3
addition
multiplication
subtraction
applying the exponent
The last operation performed when evaluating (8-2x)^2+4 for x=3 is the addition operation.
Functions and valuesEquations are known to make up of variables and constants. Given the expression;
(8-2x)^2+4
If x = 3, substitute into the expression to have:
(8-2x)^2+4
= (8-2(3))^2+4
= (8 - 6)^2 + 4
Evaluate the expression in parenthesis
= 2^2 + 4
= 4 + 4
Add the resulting expression
(8-2x)^2+4 = 8
Hence the last operation performed when evaluating (8-2x)^2+4 for x=3 is addition operation
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Which of the following best describes the graph shown below?
A) This is the graph of a linear function
B) This is the graph of a function, but it is not one-to-one.
C) This is not the graph of a function
D) This is the graph of a one-to-one function
Answer: The answer is (B) This is the graph of a function, but it is not one-to-one.
Step-by-step explanation: We are given a graph and four options out of which we are to select the statement that best describes the given graph.
Since the graph of a linear function is a straight line, so the first option is not correct.
The given graph is of a function because for a particular value of y, there is a fixed value of 'x'.
Also, since there are two different values of x having same value for y, so the function is not one-to-one. For example, If y = f(x) is the function, then f(1.5) = f(-1) = 3.
Therefore, the graph represents a function, but it is not one-to-one.
Thus, the correct option is (B).
The prime factorization of 36 is 2^2 • 9.
True
False
Find the solution of this system of equations.
-2x-6y=-16
4x-6y=-58
To meke a batch of sugar cookies , you need 0.75 cup of sugar and 1/3 cup of butter , among other ingredients. How much more sugar do you need that butter?
a) 5/12 cup b) 3/4 cup c) 1/2 cup d) 2/3 cup
Ms.ford is 48 and ms.lincoln is 35. how many years ago was ms.ford exactly twice as old as ms.lincoln
Algebraic equation is a mathematical way of expressing the way in which two expression are set equal to each other with given conditions. Using the algebraic equation we get that the age of the ms. Ford was exactly twice as old as ms. Lincoln. before 22 years ago.
Given-
The age of the Ms. Ford is 48.
The age of the Ms. Lincoln is 35.
What is Algebraic equation ?Algebraic equation is a mathematical way of expressing the way in which two expression are set equal to each other with given conditions.
Let x years ago the age of the ms. Ford was exactly twice as old as ms. Lincoln.
Thus x years ago the age of the ms. Ford was [tex](45-x)[/tex]
x years ago the age of the ms. Lincoln was [tex](35-x)[/tex].
Make a equation using the given information. As the x years ago the age of the ms. Ford was exactly twice as old as ms. Lincoln. Therefore,
[tex](48-x)=2(35-x)[/tex]
[tex]48-x=70-2x[/tex]
[tex]2x-x=70-48[/tex]
[tex]x=22[/tex]
Hence, the age of the ms. Ford was exactly twice as old as ms. Lincoln. before 22 years ago.
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When calculated, the two differences given below are equal.
(2x^4-3x^3+2x+4)-(-x^4-3x^3+4x^2+x+3)
5x^4-2x^3+3x^2+3x-4
-(2x^4-2x^3+7x^2+2x-5)
-------------------------
A. True
B. False ...?
What is the common difference d of the sequence?
9, −8, −25, −42, −59, ...
Jackie has some yellow, red, green, and blue cubes. Exactly 1/6 of the cubes are blue and 1/8 of the cubes are red. What is the number of cubes Jackie might have?
which of PQ and QR contains P
Aidan is paying his taxes and realizes that he was in the first tax bracket (10%) last year. Eleven years ago, he bought a common stock for $705. The same stock was sold last year for $947. During the same year, he earned $565 in dividends and $780 in coupons on a corporate bond. What will Aidan pay in taxes for last year’s investments?
$78.00
$84.75
$162.75
$199.05
Your office manager used 45 paperclips for handouts at his presentation from the 450 paperclips available in the stock room. What percentage of the original number of paperclips did NOT get used?
Answer:
90% of paperclips did not get used.
Step-by-step explanation:
Your office manager used 45 paperclips for handouts at his presentation from the 450 paperclips available in the stock room.
We have to calculate the percentage of the original number of paperclips did not get used.
number of paperclips did not get used = 450 - 45 = 405
the percentage of 405 out of 450 = [tex]\frac{405}{450}[/tex] × 100
= 0.9 × 100
= 90%
Therefore, 90% of paperclips did not get used.
What is the symbol that means the following true 546322. 540997?
Suppose a triangle has sides a, b, and c, and the angle opposite the side of length b is obtuse. What must be true?
A. a^2 + c^2 < b^2
B. a^2 + c^2 > b^2
C. b^2 + c^2 < a^2
D. a^2 + b^2 < c^2
For a triangle with an obtuse angle B and the longest side opposite it (side c), the correct statement is a^2 + c^2 > b^2.
The correct answer is option B.
In a triangle with sides a, b, and c, where angle B (opposite side b) is obtuse, and side c is the longest side (opposite the largest angle), we can apply the Law of Cosines. The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles:
c^2 = a^2 + b^2 - 2ab * cos(B)
Given that angle B is obtuse, cos(B) will be negative. Therefore, the term -2ab * cos(B) will subtract from the sum of a^2 + b^2. The Law of Cosines now becomes:
c^2 = a^2 + b^2 + 2ab * cos(B)
Considering the given options:
A. a^2 + c^2 < b^2 - This is not necessarily true in this context.
B. a^2 + c^2 > b^2 - This is true based on the Law of Cosines.
C. b^2 + c^2 < a^2 - This is not necessarily true in this context.
D. a^2 + b^2 < c^2 - This is not necessarily true in this context.
Therefore, from the given options the correct one is option B.
Their sum is 7, and their product is 15
The numbers, their sum is 7, and their product is 15 are,
(7 + √11 i)/2 and (7 - √11 i)/2.
Use the concept of complex numbers defined as:
A real number and an imaginary number are effectively combined to create a complex number. The complex number is written as a+ib, where a and ib are real and imaginary numbers, respectively.
Let the numbers x and y such that,
x+y = 7 .....(i)
xy = 15 ......(ii)
Since we know that,
(x - y)² = x² + y² - 2xy
Add 2xy on both sides,
(x - y)² + 2xy = (x² + y² + 2xy) - 2xy
(x - y)² + 2xy = (x + y)² -2xy
put the values from equations (i) and (ii),
(x - y)² + 30 = 49 - 30
Simplify it,
(x - y)² = -11
Take square root on both sides,
x - y = √11 i .....(iii) ( i = √-1)
Add equations (i) and (iii),
2x = 7 + √11 i
x = (7 + √11 i)/2
Substitute this value of x in equation (iii),
y = (7 - √11 i)/2
Hence,
The required numbers are (7 + √11 i)/2 and (7 - √11 i)/2.
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The complete question is:
Find the complex or real numbers such that,
Their sum is 7, and their product is 15.
The expression below is a sum of cubes.
125x3 + 144
A.True
B.False ...?
An expression is a sum of cubes if it can be written in form of a³ + b³, where a and b can be any constant/variables.
So, this means the given expression 125x³ + 144 can only be sum of cubes if the both the terms i.e. 125x³ and 144 are perfect cubes.
125x³ = (5x)³ . This means 125x³ is a perfect cube. However, 144 is not a perfect cube.
Hence we can conclude that the expression 125x³ + 144 is not a sum of cubes. So the answer to this question if FALSE
Write each expression as the product of two binomials x2 - 5x + 6
Rewrite 6 as a decimal number.