we have the expression
\(\frac{8\cdot10^{(24)}}{2\cdot10^{(18)}}\)Applying property of exponents
\(\frac{8\cdot10^{(24)}}{2\cdot10^{(18)}}=\frac{8}{2}\cdot10^{(24-18)}=4\cdot10^6\)The answer is 4x10^6The value of a stock changes from $22 on Monday to $30 on Tuesday. Calculate the percent increase.
Answer:
36.4%
Step-by-step explanation:
You want the percentage change from $22 to $30.
Percentage changeThe percentage change is given by the formula ...
percent change = ((new value)/(old value) -1) × 100%
= (30/22 -1)(100%) ≈ 36.4%
The stock increased in value by about 36.4%.
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Part A: The area of a square is (4x2 + 20x + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (4x2 − 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answer:
Step-by-step explanation:
4x² + 20x + 25 = (2x)² + 2* 2x *5 + 5²
{Compare with a² + 2ab + b² = (a+ b)²}
= (2x + 5)²
= (2x +5)*(2x+5)
Side of the square = 2x+ 5
Answer:
Part A is (2x+5)^2. Part B is (2x+3y)(2x-3y).
Step-by-step explanation:
Part A: The polynomial is prime. When you split the middle term, it becomes 4x^2+10x+10x+25. Then rewrite using the common factor from the two pairs. 2x(2x+5)+5(2x+5). Rewrite in factored form, which is (2x+5)(2x+5). Then combine which is, (2x+5)^2. The length of each side is (2x+5)^2.
Part B: The polynomial is prime. Rewrite 4x^2 as (2x)^2 and 9y^2 as (3y)^2, which looks like (2x)^2-(3y)^2. Both terms are perfect squares. The answer is (2x+3y)(2x-3y).
concerning the eoq model, if demand or annual usage increases by 10 percent, then the eoq will ________.
If demand or annual usage increases by 10 percent, the Economic Order Quantity (EOQ) will increase. The EOQ model is used in inventory management to determine the optimal order quantity that minimizes total inventory costs.
The Economic Order Quantity (EOQ) is a model used in inventory management to determine the optimal order quantity that minimizes total inventory costs. It takes into account factors such as demand, holding costs, and ordering costs. When demand or annual usage increases by 10 percent, it means that more units are being consumed or sold within a given time period.
With an increase in demand, the EOQ will also increase. This is because the EOQ formula takes into consideration the trade-off between holding costs and ordering costs. Holding costs are the costs associated with holding inventory, such as warehousing and insurance, while ordering costs are the costs incurred when placing an order, such as administrative and transportation costs.
When demand increases, more units need to be ordered to meet the higher demand. This results in an increase in ordering costs, as more frequent orders will need to be placed. Consequently, the EOQ will increase to find the new optimal order quantity that balances the increased ordering costs with the holding costs.
In summary, if demand or annual usage increases by 10 percent, the EOQ will increase due to the need to order more frequently to meet the higher demand, resulting in increased ordering costs. This adjustment ensures that the inventory management system remains efficient and cost-effective.
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In the figure below mPUR =77 and mST=74 Find mPR
Answer:
a)
The angle formed by intersecting chords is half of the sum of the intercepted arcs:
1/2(mST + mPR) = m∠PUR1.2(74° + mPR) = 77°74° + mPR = 2*77°mPR = 154° - 74°mPR = 80°b)
The angle formed by two tangents is the half of the difference of the intercepted arcs:
m∠PSR = 1/2(mPTR - mPR)m∠PSR = 1/2(247° - (360° - 247°))m∠PSR = 247° - 180°m∠PSR = 67°Will you please help me
Answer:
b
Step-by-step explanation:
Answer: B
Step-by-step explanation:
In the image below answer b is in color green and the rest of the answers are clear straight lines making them linear.
how many and what kind of roots will you have if the discriminant is 52
Answer:
The discriminant is:
b
2
−
4
a
c
a
=
1
b
=
12
c
=
36
Substitute these values into the discriminant and you should get two answers (real roots):
12
2
−
4
(
1
)
(
36
)
=
0
If the discriminant is 0 there is 1 real root, if it is > 0 there are 2 and otherwise 0 real roots.
Step-by-step explanation:
Im pretty sure this is it, hope I could help
Triangle PQR is formed by the three squares A, B, and C: P Squarec Area = 25 unlis? Square A Anda = 9 units R Square 8 Area - 16 units? Which statement best explains the relationship between the sides of triangle PQR?
Answer:
(PQ)2 + (QR)2 = (PR)2, because 9 + 16 = 25
Step-by-step explanation:
Answer:
(PQ)2 + (QR)2 = (PR)2, because 9 + 16 = 25
Step-by-step explanation:
Anna pays $120 per month for plano lessons. Estimate how much Anna pays
each year for plano lessons by rounding the amount paid to the nearest hundred.
Answer:
1440
Step-by-step explanation:
1440 because u have multiply 120x12 because there r 12 months
What is the next term of the arithmetic sequence? 7,11,15,19,7,11,15,19
Answer:
7
Step-by-step explanation:
4 times at an addition of 4, then a subtraction of 12
Can someone please help me with this??
Answer:
Use photo math
Step-by-step explanation:
its easier
A deck of cards has 52 cards. There are 4 suits, diamonds, hearts, clubs and spades. Each suit has 13 cards. What is the probability that I will randomly pick a 2, put it back, then randomly pick a 4?
Answer: 2%, ROUNDED
Step-by-step explanation:
You must divide 100 (whole percent) by 52 (Cards in a Deck) and you will get 1.92307692308%. But if we round it, we get 2%.
So the answer is 2%.
How do decomposers obtain their food?
Answer:
they are living things that get their energy by eating dead animals and plants. they break down wastes of other animals.
Step-by-step explanation:
Hopefully this helps
Find all 3 solutions: 3 − 42 − 4 + 5 = 0
Answer:
Step-by-step explanation:
If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology
The roots are 14.09, 0.30 and -0.39 to nearest hundredth.
Emily and Elijah go out to eat for lunch
Part B
Part A
If Emily and Elijah add a 15% tip to the bill
after tax, what does their lunch cost in total?
If their food and beverages cost $25.30 and
there is a 6% meals tax, how much is the bill?
Answer:
$30.48
Step-by-step explanation:
Meals tax = 25.30 x 1.06
= 26.50
Tip = 1.15 x 26.50
= 30.475
after rounding = $30.48
The meal cost $30.48 in total.
3. Let x = - and y =
0
Select all the expressions that have a positive value.
A. X. y
B.
D. x+y
EX - y
F. y - x
Answer:
answer is d
Step-by-step explanation:
Work out the perimeter of a semicircle with radius 3 cm.
Give your answer in terms of pi .
The perimeter of a semicircle with radius 3 cm is 6π cm.
What is semi-circle?
When a line travelling through the Centre of a circle reaches its two ends, a semicircle is created. Thus, a circle can be formed by combining two semicircles.Half of the area of a circle is contained within a semicircle. Since r2 is the radius of a circle, A semicircle's area is therefore 1/2(πr2), where r is its radius π has a value of 3.14, or 22/7.Half of the circle's circumference plus its diameter add up to a semicircle's perimeter. Since a circle's circumference is 2πr or πd, A semicircle's perimeter is therefore 1/2 (πd) + d, or πr + 2r, where r is its radius.Given :
Radius = 3cm
Circumference or Perimeter of a circle = 2πr
= 2 * π * 3
= 6π cm
Hence, the perimeter of a semicircle with radius 3 cm is 6π cm.
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3/4(x+5 1/2) = 5/8
Distributive Property
Brainly
Answer:
x = - \(\frac{14}{3}\)
Step-by-step explanation:
Given
\(\frac{3}{4}\) (x + 5 \(\frac{1}{2}\) ) = \(\frac{5}{8}\)
Multiply both sides by 8 to clear the fractions
6(x + 5 \(\frac{1}{2}\) ) = 5 ← distribute parenthesis on left side
6x + 33 = 5 ( subtract 33 from both sides )
6x = - 28 ( divide both sides by 6 )
x = \(\frac{-28}{6}\) = - \(\frac{14}{3}\)
Identify the coefficient in the term 7x 2 y 3. 7 2 3
Answer: I don’t know how to really read that term but the coefficient in ANY term will be the number directly behind a variable. For example, 2x, the variable is ‘x’ and the coefficient is 2. But in the case 2 (space in between) x , 2 is not a coefficient of x. It’ll be 1 because if a variable is by its self, ‘x’, there is always an invisible 1 because the variable is by itself meaning there is only one. You don’t need to put a 1 behind ‘x’ because it should be known already. The coefficient basically tells you how many unknown values there are and the variable tells you the unknown value (when you eventually solve for it).
Using this information try to find the coefficient for that term or rewrite the term correctly.
I really tried to explain it the best way I could; hoped this helped :)
i need help A S A P!
Answer:
ewfwefwfewfwfwe
Step-by-step explanation:
7. Membership at the local Sky Zone costs $189 per year and an hour costs $15 each.
Write an expression (make sure it looks like an expression, not an equation) to
represent the total cost of going to Sky Zone for the year. Evaluate the expression
(make it an equation) if you jump for 19 hours in a year. Write a "therefore"
statement. (4 marks)
189*365=68985
68985/15= $4599
Step-by-step explanation:
or $5000 if you round up
Hoses A and B spout water at different constant rates, and hose A can fill a certain pool in 6 hours. Hose A filled the pool alone for the first 2 hours and the two hoses, working together, then finished filling the pool in another 3 hours. How many hours would it have taken hose B, working alone, to fill the entire pool
Answer:
18 hours
Step-by-step explanation:
Let the volume of the pool be x. Since pipe A filled the pool in 6 hours, the rate of pipe A = x / 6.
Let the rate of pipe b be y, Hose A filled the pool alone for the first 2 hours, this means that the volume filled in the 2 hours is x/6(2 hours) and the two hoses, working together, then finished filling the pool in another 3 hours for the 3 hours the volume filled is x/6(3) + y(3). hence the total time is:
x/6(2) + x/6(3) + y(3) = x
x/3 + x/2 + 3y = x
Multiply through by 6:
2x + 3x + 18y = 6x
5x + 18y = 6x
18y = x
y = x/18
The rate of pipe B is x/18, this means it would take pipe B 18 hours to full the pool alone
The graph of f(x) = 2x is shown on the grid.
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through points (0, 1), (1, 2), (2, 4).
The graph of g(x) = (One-half)x is the graph of f(x) = 2x reflected over the y-axis. Which graph represents g(x)?
On a coordinate plane, an exponential function approaches x = 0 in quadrant 4 and increases into quadrant 1.
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and curves down into quadrant 4.
On a coordinate plane, an exponential function approaches x = 0 in quadrant 1 and curves down and to the right into quadrant 4.
Answer:
Your answer would be the second option.
Explanation:
As it is looking for an exponential decay function, you must find one. As an exponential function has to be sloping negatively, you must find the graph that does just this. The only graph that does is graph number two. Henceforth your answer is graph number two, or B. (I also did this quiz, and got a 100%)
Hope This Helps!
The graph represents g(x) is B) On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.
What is exponential growth or decay function?Consider the function:
\(y = a(1\pm r)^m\)
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is negative sign, then there is exponential decay happening by r fraction or 100r %
The graph of f(x) = 2x is shown.
it is looking for an exponential decay function, As an exponential function has to be sloping negatively.
Draw the graph of the equation by using the table shown below:
x f(x)
-2 -4
-1 -2
0 0
The graph the exponential function approaches y = 0 in quadrant 1.
The function increases into quadrant 2 and It crosses the y-axis at (0, 1).
Hence, the correct option is B) On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.
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Question 1 options:
m∠A = _____˚
m∠B = _____˚
m∠C = _____˚
m∠X = _____˚
m∠Y = _____˚
m∠Z = _____˚
Segment AB = _____ units
Segment BC = _____ units
Segment AC = _____ units
Segment XY = _____ units
Segment YZ = _____ units
Segment XZ = _____ units
Given:
Two triangles are congruent, i.e., \(\Delta ABC\cong \Delta XYZ\).
To find:
All the measures of both triangle.
Solution:
We have,
\(\Delta ABC\cong \Delta XYZ\).
We know that, corresponding parts of congruent triangles are congruent (CPCTC).
\(\angle A=\angle X\)
\(\angle B=\angle Y=90^\circ\)
\(\angle C=\angle Z=37^\circ\)
It triangle ABC,
\(\angle A+\angle B+\angle C=180^\circ\) (Angle sum property)
\(\angle A+90^\circ+37^\circ=180^\circ\)
\(\angle A+127^\circ=180^\circ\)
\(\angle A=180^\circ -127^\circ\)
\(\angle A=53^\circ\)
So,
\(\angle A=\angle C=53^\circ\)
\(AB=XY=3\text{ units}\)
\(BC=YZ=4\text{ units}\)
\(AC=XZ=5\text{ units}\)
Therefore, m∠A = 53˚, m∠B =90˚ , m∠C =37˚ , m∠X = 53˚, m∠Y =90˚ , m∠Z =37˚ , Segment AB = 3 units , Segment BC = 4 units , Segment AC = 5 units , Segment XY = 3 units , Segment YZ = 4 units , Segment XZ = 5 units .
The roof and exterior walls of a house represent intersecting planes. Using the image, name all the lines that are formed by the intersecting planes. (i dont have the picture but if you know which question im talking about please help me)
In the possible diagram of the house, the lines formed by intersecting planes are; \( \overline{AG}\), \(\overline{ AB}\), \(\overline{AH}\), \(\overline{GF}\), \(\overline{ BH}\), \(\overline{HF}\), \(\overline{BC}\), \(\overline{ HD}\), and \(\overline{FE} \)
What are the planes and the lines formed by them on the building?The diagram found in a similar question has points A, G, B, H, and F on the roof.
The points on the walls of the house are; B, H, F, C, D, and E
A plane in Euclidean geometry is a surface that is flat, such that a line that connects two points on it lie completely on the plane.
A plane can be identified by three non collinear points that lay on it.
A line is a figure that does not have a curvature, width or depth, and it is infinitely long.
The planes on the roof are; ABH and AGHF
The planes on the walls of the house are; BCDH, and HDCF
The lines that are formed by the intersecting planes are therefore;
On the roof;
\( \overline{AG}, \overline{ AB}, \overline{AH}, \: \overline{GF},\)Between the roof and the walls of the house;
\(\overline{BH}, \overline{HF}\)Between the two sides of the walls;
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PLEASE HELP WITH MY MATH QUESTIONS ILL GIVE BRAINLIEST
its only on simple interest rate
can someone help me with just 5 questions please?
whats the question? it is not stated in the question
Juan is shopping for school supplies. He bought a pencil case for $5.00, but now he needs
pencils to go inside it. Each box of pencils $3.00. Let t represent the total cost, and b represent
each box of pencils. Determine the dependent and independent variables.
Answer:
T is dependent B is independent
Step-by-step explanation:
Total cost is changed by how many pencils you buy
The price of each box of pencils does not change
Last year a town had a population of 2000 + x . If the population increased by 25 people this year, which of the following expressions represents this years population?
Answer:
Step-by-step explanation:
If the population of the town last year was 2000 + x, then this year's population, after an increase of 25 people, can be represented by the expression:
(2000 + x) + 25
suppose we wanted the margin of error for the 90% confidence level to be about 1.5%. how large of a survey would you recommend? a survey should include at least
If we want the margin of error for the 90% confidence level to be about 1.5%, then a sample of 3002 is recommended.
In this problem, we want to find n for which the margin of error for the 90% confidence level to be about 1.5%
From part (a), the 90% confidence interval is (0.435, 0.525)
the margin of error M = 0.015
0.015 = 1.645√(0.48 * 0.52)/n
(√n) ² = (0.015)²
n = 3001.9
n ≈ 3002
Therefore, a sample of 3002 is recommended.
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The complete question is:
Exercise 6.12 presents the results of a poll where 48% of 331 Americans who decide to not go to college do so because they cannot a ord it. (a) Calculate a 90% con dence interval for the proportion of Americans who decide to not go to college because they cannot a ord it, and interpret the interval in context. (b) Suppose we wanted the margin of error for the 90% con dence level to be about 1.5%. How large of a survey would you recommend?
a friend comes up to you and offers you a free ticket to a dodgers game that night, and you decide to attend the game. the game takes five hours and costs you $25 for transportation. if you had not attended the game, you would have worked at your part-time job for $12 an hour. what is the cost to you of attending the game?
The cost to you of attending the game instead of going to work is 85$
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
Transportation cost = 25$Hours paid for work = 12$ per hourTime of the game = 5 hCalculating how much will cost attending the game:
Total cost = (time of the game*Hours paid for work) + Transportation cost
Total cost = (12*5) + 25
Total cost = 85$
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Determine whether the planes are parallel, perpendicular or neither. 2x â 4y + 3z = 5, x + 8y + 10z = 3
The given two planes 2x + 4y + 3z = 5 and x + 8y + 10z = 3 are perpendicular to each other.
According to the given question.
We have two planes
2x - 4y + 3z = 5
and,
x + 8y + 10z = 3
Since, two planes are perpenicular if
\(a_{1} a_{2} + b_{1} b_{2} + c_{1} c_{2} = 0\)
Where \(a_{1}\), \(b_{1}\) and \(c_{1}\) and \(a_{2}\), \(b_{2}\) and \(c_{2}\) are the direction ratios of planes.
And the two planes are parallel to each other if
\(\frac{a_{1} }{a_{2} } =\frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }\)
Here, the direction ratios of plane 2x + 4y + 3z = 5 are 2, -4, and 3 and the direction ratios of plane x + 8y + 10z = 3 are 1, 8, and 10
Now,
2(1) + (-4)(8) + 3(10)
= 2 - 32 + 30
= 0
Since, the sum of the product of the direction ratios of the two palnes is 0. Therefore, the given two planes 2x + 4y + 3z = 5 and x + 8y + 10z = 3 are perpendicular to each other.
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