Answer:
$275
Step-by-step explanation:
Day Price Unit price
Monday $245 $2.45
Tuesday $315 $3.15
Wednesday $275 $2.75
Thursday $200 $2.00
Friday $225 $2.25
the first in, first out (FIFO) method uses the price of the oldest units to determine the cost of goods sold:
the ending inventory should = 100 units purchased Friday + 25 units purchased Thursday = (100 x $2.25) + ($25 x $2) = $225 + $50 = $275
Answer: $375
Step-by-step explanation:
The formula for the volume of a pyramid is uppercase V = one-third uppercase B h Which of the following equations is equivalent to the given formula?
Step-by-step explanation:
One possible equivalent equation to the given formula is:
uppercase B = 3 uppercase V ÷ h
To see why this equation is equivalent, we can isolate uppercase B in the original formula by multiplying both sides by 3/h:
3/h * uppercase V = 3/h * (one-third uppercase B h)
Simplifying the right-hand side:
3/h * (one-third uppercase B h) = uppercase B
Substituting back in the original formula gives:
uppercase B = 3/h * uppercase V
Which correctly shows the substitution step for the system?
y = x - 4
-4x - 6y = -16
O x-4 = -4x-6y
-4(x-4) - 6y = -16
O-4x-6(x-4) = -16
6y = x - 4
The solution to the system of equations is x = 4 and y = 0. In summary, the correct substitution step for the system is: -4x - 6(x - 4) = -16 .C answer is correct
To solve the given system of equations:
1) y = x - 4
2) -4x - 6y = -16
We can use the substitution method to eliminate one variable and solve for the other.
Step 1: Solve the first equation (1) for y in terms of x.
y = x - 4
Step 2: Substitute the expression for y from equation (1) into equation (2).
-4x - 6(x - 4) = -16
Step 3: Simplify and solve for x.
-4x - 6x + 24 = -16
-10x + 24 = -16
-10x = -16 - 24
-10x = -40
x = -40 / -10
x = 4
Step 4: Substitute the value of x back into equation (1) to solve for y.
y = 4 - 4
y = 0
Therefore, the solution to the system of equations is x = 4 and y = 0.
In summary, the correct substitution step for the system is:
-4x - 6(x - 4) = -16
By substituting the expression for y from equation (1) into equation (2) and simplifying, we obtain the equation -4x - 6y = -16, which can be further solved to find the values of x and y. C answer is correct
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2. A(n) is NOT an example of an agreement. (1 point)
O lease
O month-to-month
O annual
O fine print
An Annual is not an example of an agreement.
Let g(x) be the transformation of f(x) = |x| down 3 units. Identify the rule for g(x) and its graph.
Answer:
Step-by-step explanation:
Formula for transformation for parent function f(x) = |x| is
g(x) = a |x -h| + k
Where a is your stretch/compression
(h, k) is your vertex or shift (x, y) directions
If the function is shifted down 3 that's -3 in y direction
g(x) = |x| - 3
James wants to have earned $6,180 amount of interest in 28 years. Currently he finds
that his annual interest rate is 6.12%. Calculate how much money James needs to invest
as his principal in order to achieve this goal.
Answer:
$3606.44
Step-by-step explanation:
The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.
To do this, we need to use the formula for simple interest:
\(\boxed{I = \frac{P \times R \times T}{100}}\),
where:
I = interest earned
P = principal invested
R = annual interest rate
T = time
By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:
\(6180 = \frac{P \times 6.12 \times 28}{100}\)
⇒ \(6180 \times 100 = P \times 171.36\) [Multiplying both sides by 100]
⇒ \(P = \frac{6180 \times 100}{171.36}\) [Dividing both sides of the equation by 171.36]
⇒ \(P = \bf 3606.44\)
Therefore, James needs to invest $3606.44.
How are the two angles related?
The two angles are related in that they are supplementary angles
Supplementary angles would add tuo to 180 degrees according to the angle Theorem.
Adding the two given angles :
52+128 = 180These angles are supplementary
The angles aren't vertical in that , vertical angles should have the same vertex. Complementary angles on the other hand add to 90 degrees. While the angles doesn't share the same side, hence, they aren't adjacent.
Hence, the angles are related as they are supplementary angles .
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Evaluate the expression for x= 8
X + 5
O 3
O 5
08
13
Answer:
(d) 13
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
x + 5
= 8 + 5 = 13
Is x-1
a factor of
x^5-3x^4-2x^3-5x^2+5x+12?
Correct The remainder when you divide is
The remainder theorem indicates that remainder when the polynomial x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) is 8
What is the remainder theorem?The remainder theorem specifies the relationship between the division of a polynomial by a linear factor to the value of the polynomial at a specified point
The remainder when the polynomial expression; x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by x - 1, can be found using the remainder theorem by plugging in x = 1 in the function as follows;
f(1) = 1⁵ - 3 × 1⁴ - 2 × 1³ - 5 × 1² + 5 × 1 + 12 = 8
The remainder when x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) therefore is 8
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What function is the inverse of the exponential function y = 4*?
OA
1
y=z.
OC y = log₂ 4
O B. y=(¹)²
O
D. y = log, z
The function that is the inverse of the exponential function y = 4ˣ is lnx/ln4
The inverse of a function f is denoted by \(f^{-1\) and it exists only when f is both one-one and onto function. Note that \(f^{-1\) is NOT the reciprocal of f. The composition of the function f and the reciprocal function \(f^{-1\) gives the domain value of x.
(f o \(f^{-1\) ) (x) = ( \(f^{-1\) o f) (x) = x
For a function 'f' to be considered an inverse function, each element in the range y ∈ Y has been mapped from some element x ∈ X in the domain set, and such a relation is called a one-one relation or an injunction relation.
The standard exponential function is given as y = abˣ
Given the function,
y = 4ˣ
Replace y with x
\(x = 4^y\)
Make y the subject of the formula,
\(lnx = ln4^y\\\\lnx = yln4\)
Divide both sides by ln4
lnx/ln4 = y
Hence the function that is the inverse of the exponential function y = 4ˣ is lnx/ln4
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determine whether the given below each equation represents a direct variation or not if it does find the constant of the variation 3y = 4x
,y= kx
Where k is the constant of variation.
First solve for y:
3y=4x
y= 4/3 x
So, the constant of variation k= 4/3
It represents a direct variation.
What type of angles are labeled and what is the value of m? Show your work.
Answer: I believe
M = 80
Step-by-step explanation:
100 - 20 = 80
are the expressions 3+y and 13(6+y) equivalent?
Answer: no because 13(6+y) is 78+ 13y
Step-by-step explanation:
PLZ help on coordinate work
Answer:
Add 50 to each x coordinate and 25 to each y coordinate.
Step-by-step explanation:
Add 50 to each x coordinate and 25 to each y coordinate.
A Netflix subscription is on sale for $41.94
for six months. What is the cost per month?
Answer:
6.99 per month
Step-by-step explanation:
Find the surface area of the figure. For calculations involving , give both the exact value and an approximation to the nearest hundredth of a unit. Let r = 8 and h = 2.
Answer:
502.655 is the surface area
Step-by-step explanation:
the equation is SA=2B+Ph
Instructions: Identify the key features of the following graph. If the Domain is all real numbers, type in 'All Real" into the Domain box
Key features for the graph given in the problem will be-:Vertex (-1, -5), Axis of symmetry=> (x = -1), y-intercept (0,-3), Minimum=> (y=-5), Domain=> (All Real), Range=>( y >= -5)
How to determine the key features?Refering to the graph given in the problem(refer image attached).The key features of the graph can be given as:
Vertex: The graph's vertex is at (-1, -5), which indicates that the graph extends upwards (because y = -5 is the minimal value).A vertical line at x = -1 serves as the graph's axis of symmetry. The graph is split into two symmetrical sections by this line.Y-intercept: The graph's y-intercept is at (0, -3), which indicates that here is where the graph and y-axis connect.The graph has a minimum point at y = -5, which is also the vertex of the graph and the lowest point on it.The graph's domain is set as "All Real" or "(-, )", which signifies that it spans all real values on the x-axis horizontally.Range: The graph's range is defined as y -5, which indicates that it climbs vertically from -5 and above on the y-axis.The graph has an upward-opening form, an axis of symmetry at x = -1, a y-intercept at (0, -3), a minimum point at y = -5 (which is also the vertex), and it spans all real numbers on the x-axis (domain) while being larger than or equal to -5 on the y-axis (range).
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Solve for x 8x - 3 = 5 (2x + 1)
Answer:
X = -4
Step-by-step explanation:
Answer:
x = -4
Step-by-step explanation:
First, the pharenthesis: 8x-3 = 5*2x+5*1
8x -3 =10x+5
then take all the Number with x to the left, the ones without to the right, by changing their sign.
8x -10x = 5 +3
-2x = 8
now divide by -2
-2x/-2=8/-2
x=-4
What is four times the sum of the complement of a 72° angle
and the supplement of a 72° angle?
The four times the sum of the complement and the supplement of a 72° is 504°.
What is defined as complement and the supplement angles?If the sum of the two angles is 180 degrees, they are referred to as supplementary angles because they form a linear angle when combined. If sum of two angles is 90 degrees, they are considered to be complementary angles because they form a right angle when combined.Now, as per the given question;
The given angle is 72°.
By the definition of complement angle;
72° + complement of 72° = 90°
complement of 72° = 90° - 72°
complement of 72° = 18°
Now, by the definition of supplement angles;
72° + supplement of 72° = 180°
supplement of 72° = 180° - 72°
supplement of 72° = 108°
Sum = complement of 72° + supplement of 72°
Sum = 18° + 108°
Sum = 144°
Four times the sum
4xSum = 4×144° = 504°.
Thus, the four times the sum of the complement and the supplement of a 72° is 504°.
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Y+2=-3(x-4) find the missing value
Answer:
(4,-2)
Step-by-step explanation:
plug in and simplify;
y+2=-3(x-4)
-2+2=-3(x-4)
0=-3x+12
3x=12
x=4
3:Let f be a quadratic function such that
f(x) = ax² +bx+c = a (x-h)² + k
If k < 0, for what values of a will f(x) have no real zeros?
O a=0
O a<0
O azo
4.
O a>0
O aso
none of the answer choices
Answer:
O a=0
Step-by-step explanation:
help me with this question plss
Answer:
G is the answer
Step-by-step explanation:
16-20-24-28-32 between them difference is 4
4th letter is D
40-48-56-64-72 between them difference is 8
8th letter is H
14-21-28-35-48 between them difference is 7
7th letter is G
Answer:
g
is the answer
Step-by-step explanation:
Guinea,Liberia,Sierra Leone have a total population of 12,348,000. In those countries 1% of the people have been infected with the Ebola virus. About 50% of those infected have died. How many people have died?
Answer:
1% of 12,348,000 = 123,480
50% of 123,480 = 61,740 people have died
A rectangular prism has a length of 2 centimeters, a height of 8 centimeters, and a
width of 13 centimeters. What is its volume, in cubic centimeters?
The volume of the rectangular prism is 208cm³
What is the volume of a rectangular prism?Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc. Sometimes, volume is also termed capacity.
The volume of a rectangular a prism is expressed as base area × height. The base area is a rectangle and the area of a rectangle is Length × width
length = 2cm
width = 13 cm
height = 8cm
base area = 13× 2 = 26cm²
Volume of the prism = 26× 8 = 208cm³
Therefore the volume of the rectangular prism is 208cm³.
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The prime factorizations of 54 and 72 are shown below.
Prime factorization of 54: 2, 3, 3, 3
Prime factorization of 72: 2, 2, 2, 3, 3
Using the prime factorizations, what is the greatest common factor of 54 and 72?
023
O 2 33
O 2233
2.2 2.3 3 3
Answer:
2x3x3
Step-by-step explanation:
Write the equation in slope-intercept form for the line that passes through the given pointand is perpendicular to the given equation.5 x– 6 y= 18and passes through (10,7)
The equation of a line is given by
\(y-y_1=m(x-x_1)\)To find this equation we need the slope and a point where the line passes through.
In our case we know the point but we don't know the slope yet.
To Find the slope we have to use the fact that the line is perpendicular to
\(5x-6y=18\)First, we have to remember that two lines are perpendicular if and only if
\(m_1m_2=-1\)The slope of the line 5x-6y=18 is 5/6. Plugging this value in the equation above and solving it for m1 we have:
\(\begin{gathered} m_1(\frac{5}{6})=-1 \\ m_1=-\frac{1}{\frac{5}{6}} \\ m_1=-\frac{6}{5} \end{gathered}\)Once we have the slope and the point we can find the equation of the line, in our case we have
\(\begin{gathered} y-7=-\frac{6}{5}(x-10) \\ y-7=-\frac{6}{5}x+12 \\ y=-\frac{6}{5}x+19 \end{gathered}\)Therefore the line we are looking for is
\(y=-\frac{6}{5}x+19\)1/3 divided by 5/8 what is the answer
Answer:
8/15 in fraction form
0.53 repeating in decimal form
Step-by-step explanation:
1/3 divided by 5/8 =
1/3 *8/5 =
1*8 over 3*5 = 8/15
Answer: 8/15
0.5333 continued
Step-by-step explanation:
1/3=0.333 continued
5/8=0.625
0.333 continued/0.625=0.5333 continued
or 0.5333 continued
1,265.19 is what percent of 699
Answer:
1,265.19 is 181% of 699Step-by-step explanation:
Calculate the ratio of 1265.19 and 699, then convert it to a percent (multiply by 100%):
\(\dfrac{1,265.19}{699}=1.81\\\\1.81\cdot100\%=181\%\)
Signature of the Principle investigator on the final proposal implies his responsibility for the following except
The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.
The signature of the Principal Investigator (PI) on the final proposal does not imply responsibility for certain aspects of the project beyond their control or expertise. While the PI plays a crucial role in leading and overseeing the research project, there are certain areas for which they may not bear direct responsibility.One aspect the PI may not be responsible for is the availability of funding. Although they may have been involved in securing the initial funding or writing the budget proposal, the final decision and availability of funds typically lie with funding agencies, institutions, or sponsors. The PI's signature on the proposal signifies their commitment to the project but does not guarantee funding.Additionally, the PI may not be accountable for the technical or scientific success of every aspect of the project. Research projects often involve interdisciplinary collaborations and multiple team members who contribute their expertise. The PI's signature signifies their leadership and overall responsibility, but they rely on the expertise and contributions of other team members for specific tasks and outcomes.Furthermore, the PI may not bear sole responsibility for external factors that can impact the project, such as changes in regulations, unforeseen events, or external market conditions. While they may adapt the project's direction and approach as needed, these external factors are beyond their direct control.In summary, the signature of the Principal Investigator on the final proposal does not imply responsibility for funding availability, technical success of every aspect, or external factors that may influence the project. The PI's role is primarily centered around leadership, coordination, and overall project management.The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?
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The surface area of a cube is 600 square units. What is the volume, in cubic units, of the cube
6. What is the slope of the line through the points (-2, -1) and (4, 3)
5/2
2/5
2/3
3/2
Answer: 2/3
Step-by-step explanation: y1-y2 3-(-1) = 4 simplify 4/6=2/3
x1-x2 4-(-2)= 6
Slope is described as "the rise over the run," meaning that it's the fraction of "the change in the y-values compared to the change in the x-values."
In this situation
- the change in the y-values is 3 - (-1) = 4.
- the change in the x-values is 4 - (-2) = 6.
so the fraction is 4/6 or 2/3.
As a general formula, the formula for slope is \(m = \dfrac{y_2-y_1}{x_2-x_1}\).
\(m = \dfrac{3-(-1)}{4-(-2)}=\dfrac{4}{6}=\dfrac{2}{3}\)