The value of an automobile company's stock fell 5 points over the last month. The integer that represents the change in the stock's value is -5.
In the context of stock market performance, positive values typically indicate an increase in the stock's value, while negative values indicate a decrease. In this case, since the stock's value fell by 5 points, we assign a negative sign to represent the change.
By convention, negative numbers are used to represent decreases or losses, while positive numbers represent increases or gains. When the stock's value decreases, it is common to use negative integers to signify the change.
In this scenario, a decrease of 5 points is denoted by the negative sign (-) followed by the numerical value 5. Therefore, the integer -5 represents the change in the stock's value.
Using this notation helps provide clarity and consistency in understanding the direction and magnitude of changes in stock prices. It allows investors, analysts, and market participants to communicate and interpret market movements accurately and effectively.
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Herman took out a loan for $8,500 at a rate of 8% for a term of 10 years. How much interest will he pay on the loan?
Answer:
Monthly loan payment is $400.76 for 60 payments at 7.5%.
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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Joseph leans a 20-foot ladder against a wall so that it forms an angle of 69° with the
ground. How high up the wall does the ladder reach? Round your answer to the
nearest hundredth of a foot if necessary.
Answer:
18.67 ft
Step-by-step explanation:
|\
| \
| \
h | \ 20 ft
| \
| \
|-- 69° \
---|----------------
For the 69° angle, h is the opposite leg, and 20 ft is the hypotenuse.
sin A = opp/hyp
sin 69° = h/20
h = 20 * sin 69°
h = 18.67
Answer: 18.67 ft
A. 526 X 10 D. 526 X 0.1 B. 526 X 100 E. 526 X 0.01 C. 526 X 1000 F. 526 X 0.001
Answer:
what?
Step-by-step explanation:
what is the question to this?
Answer:
A. 526 X 10
Step-by-step explanation:
526 X 10 = 5,260
give brainslet pls
what is 665 plus one
Answer:
666
Step-by-step explanation:
Answer:
your answer is 665+1=666
hope this helps you
have a great day (◍•ᴗ•◍)
A rope 15 inches long has been divided into the greatest possible number of pieces in such a way that each piece has a different length, and each of these lengths in inches is expressed by a whole number. How many cuts were made?
A.3
B.4
C.5
D.6
E.7
Answer:
Below
Step-by-step explanation:
1+2+3+4+5 =15 5 lengths will require 4 cuts
select the correct answer
Answer:
a) We get \(\mathbf{A+B=x^2-2x+1}\)
So, Is the result of A+B is a polynomial:Yes
b) We get \(\mathbf{A-B=6x^3-7x^2+2x-1}\)
So, Is the result of A-B is a polynomial:Yes
c) We get \(\mathbf{A.B=9x^6+21x^5-18x^4+9x^3-3x^2}\)
So, Is the result of A.B is a polynomial:Yes
Step-by-step explanation:
We are giving the polynomial equations:
\(A= 3x^2(x-1)\\B=-3x^3+4x^2-2x+1\)
We need to find
a) A+B
\(A+B=3x^2(x-1)+(-3x^3+4x^2-2x+1)\\A+B=3x^3-3x^2-3x^3+4x^2-2x+1\\A+B=3x^3-3x^3-3x^2+4x^2-2x+1\\A+B=x^2-2x+1\\\)
So, we get \(\mathbf{A+B=x^2-2x+1}\)
So, Is the result of A+B is a polynomial:Yes
b) A-B
\(A-B=3x^2(x-1)-(-3x^3+4x^2-2x+1)\\A-B=3x^3-3x^2+3x^3-4x^2+2x-1\\A-B=3x^3+3x^3-3x^2-4x^2+2x-1\\A-B=6x^3-7x^2+2x-1\\\)
So, we get \(\mathbf{A-B=6x^3-7x^2+2x-1}\)
So, Is the result of A-B is a polynomial:Yes
c) A . B
\(A.B=3x^3(-3x^3+4x^2-2x+1)-3x^2(-3x^3+4x^2-2x+1)\\A.B=9x^6+12x^5-6x^4+3x^3+9x^5-12x^4+6x^3-3x^2\\A.B=9x^6+12x^5+9x^5-6x^4-12x^4+3x^3+6x^3-3x^2\\A.B=9x^6+21x^5-18x^4+9x^3-3x^2\)
So, we get \(\mathbf{A.B=9x^6+21x^5-18x^4+9x^3-3x^2}\)
So, Is the result of A.B is a polynomial:Yes
Clarissa has abudget of 1,200$ amonth to spend for rent n food she already spent 928 this month which inequality represents the amount she can still spend this month
Answer:
272$
Step-by-step explanation:
You really should be clearer with your questions, but if your looking for the balance she has 272$
a student needs to fill a tank with 9 liters of waters how many 1/3 liters of water will it take to fill the tank
It will take 27 containers of 1/3 liter to fill the tank.
Since you need 3 containers of 1/3 to have a full liter, and 9 liters for the tank, 9*3=27.
Answer:
27
Step-by-step explanation:
1= 1/3x3
3x9=27
Question 4 of 10 What is the scale factor from ABC to DEF? A BO 72 42 35 65 B 66 O A. 2 OB. O O D. 6 Ico
Answer:
C
Step-by-step explanation:
the scale factor is the ratio of corresponding sides, image to original, so
scale factor = \(\frac{EF}{BC}\) = \(\frac{11}{66}\) = \(\frac{1}{6}\)
4. The radius of a circle is 6 inches. What is
the area?
a. 18.84 in?
b. 37.68 in
c. 87.98 in
d. 113.04 in
1.7 Basil Yamey is setting up a new business. Before selling anything, he bought a van for £9,000; a
transportable market stall for £1,800; a computer for £280; and an inventory of goods for £11,200. Fie
did not pay in full for his inventory of goods and still owes £5,000 for them. Fie borrowed £8,000 from
Luca Pacioli. After the eventsjust described, and before trading starts, he has £900 cash in hand and
£6,300 in the bank. Calculate the amount of his capital.
Answer:
the amount of Basil Yamey's capital is £16,480.
Step-by-step explanation:
To calculate Basil Yamey's capital, we need to add up the value of his assets and subtract his liabilities.
The value of his assets is:
Van: £9,000
Market stall: £1,800
Computer: £280
Inventory of goods: £11,200
Cash in hand: £900
Money in the bank: £6,300
Total value of assets = £9,000 + £1,800 + £280 + £11,200 + £900 + £6,300 = £29,480
His liabilities are:
Amount still owed for inventory of goods: £5,000
Amount borrowed from Luca Pacioli: £8,000
Total liabilities = £5,000 + £8,000 = £13,000
Therefore, Basil Yamey's capital is:
Capital = Total value of assets - Total liabilities
Capital = £29,480 - £13,000 = £16,480
So the amount of Basil Yamey's capital is £16,480.
Answer:
Basil Yamey's capital is the total amount of money that he has invested in his business. This can be calculated as the sum of the cost of the assets that he has purchased, minus any outstanding debts, plus any cash or cash equivalents he has on hand.
The cost of the assets that Basil has purchased is:
£9,000 (van) + £1,800 (market stall) + £280 (computer) + £11,200 (inventory) = £21,280
He still owes £5,000 for the inventory, so the total cost of the assets minus the outstanding debt is:
£21,280 - £5,000 = £16,280
He borrowed £8,000, so the total amount of his capital is:
£16,280 + £8,000 = £24,280
He also has cash on hand and in the bank:
£900 (cash) + £6,300 (bank balance) = £7,200
So, Basil Yamey's total capital is £24,280 + £7,200 = £31,480.
write the expression in complete factored form. p(b + 9) - (b + 9) =
Answer:
(p-1)(b+9)
Step-by-step explanation: Both terms are a(b+9), but one term has a=p and the other is -1. So add them and get the answer
Bria is a customer who would like to display her collection of soap carvings on top of her bookcase. The collection needs an area of 300 square inches. What should b equal for the top of the bookcase to have the correct area? Round your answer to the nearest tenth of an inch.
(1 point) help me pls D;
please D:
b equal for the top of the bookcase to have the correct area= 5 cm2
What is surface area?A solid object's surface area is a measurement of the total area that the surface of the object takes up.
The definition of arc length for one-dimensional curves and the definition of surface area for polyhedra (i.e., objects with flat polygonal faces), where the surface area is the sum of the areas of its faces, are both much simpler mathematical concepts than the definition of surface area when there are curved surfaces.
A smooth surface's surface area is determined using its representation as a parametric surface, such as a sphere.
This definition of surface area uses partial derivatives and double integration and is based on techniques used in infinitesimal calculus.
Henri Lebesgue and Hermann Minkowski at the turn of the century sought a general definition of surface area.
L × b = 300
b = 300 / L
b = 300 / 60 = 5
Hence, b equal for the top of the bookcase to have the correct area= 5 cm2.
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Parallelogram JKLM is shown on the coordinate plane below:
Parallelogram JKLM with ordered pairs at J negative 6, 2, at K negative 4, 6, at L negative 3, 3, at M negative 5, negative 1.
If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the image parallelogram?
J′(−2, −6); M′(1, −5)
J′(6, 2); M′(−5, 1)
J′(2, 6); M′(−1, 5)
J′(6, −2); M′(5, 1)
Answer: Parallelogram JKLM is shown on the coordinate plane below:
Parallelogram JKLM with ordered pairs at J negative 6, 2, at K negative 4, 6, at L negative 3, 3, at M negative 5, negative 1.
If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the image parallelogram?
J′(−2, −6); M′(1, −5)
J′(6, 2); M′(−5, 1)
J′(2, 6); M′(−1, 5)
J′(6, −2); M′(5, 1)
Step-by-step explanation:
Use your knowledge of area and perimeter to complete the following problems. Use 3.14 for  and round to the nearest hundredths place, whenever necessary. Show all work.Part 1:A farmer bought 30 feet of fencing to build a circular pen for his pigs. What is the diameter of the pen he can build with 30 feet of fencing?The farmer also needs to buy a certain type of seed for the grass in the pen. Each bag of seed can cover 50 square feet of land. How many bags of seed will the farmer need to buy?
The average of 5 numbers is 8.5. Four of the numbers are 9.2, 3.4, 6.5 and 7.4. What is
the fifth number?
Answer:5
Step-by-step explanation:
During halftime of a basketball game, a sling shot launches T-shirts at the crowd. A T shirt is launched from a heigh of 4 feet with an initial upward velocity of 72 feet per second. Use the equation h(t)= -16t^2+72t+4, where t is time in seconds and h(t) is height. How long will it take the T shirt to reach its maximum height? What is the maximum height?
During halftime of a basketball game, a slingshot launches T-shirts at the crowd.
it takes the T-shirt 9/4 secondsThe maximum height of the T-shirt is 77 feet.What is the maximum height?
Generally, To find the time it takes the T-shirt to reach its maximum height, we need to find the time when the height of the T-shirt stops increasing and starts decreasing. At this point, the velocity of the T-shirt will be 0, since it is not moving up or down.
The velocity of the T-shirt at any time t can be found by taking the derivative of the equation for height:
v(t) = dh/dt = -32t + 72
Setting the velocity to 0 and solving for t, we get:
0 = -32t + 72 32t = 72 t = 72/32 t = 9/4
So it takes the T-shirt 9/4 seconds, or approximately 2.25 seconds, to reach its maximum height.
To find the maximum height, we plug this value back into the equation for height:
h(t) = -16(9/4)^2 + 72(9/4) + 4 h(t) = -81 + 162 + 4 h(t) = 77
The maximum height of the T-shirt is 77 feet.
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perimeter and volumen, please help its important
The perimeter and volume of the given composite figure is:
Perimeter = 89 units
Volume = 216 cubic. units
What is the perimeter and Volume of the given composite figure?The perimeter of the composite figure is defined as the boundary length around the composite figure.
Thus:
Perimeter = 4(6) + 4(5) + 5(9)
Perimeter = 24 + 20 + 45
Perimeter = 89 units
Now, volume of a cuboid = Length * Width * Height
Thus:
Volume of cuboid = (5 * 9 * 6) - (3 * 2 * 9)
Volume = 270 - 54
Volume = 216 cubic. units
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Add. (2x^4+c^3-4^2+3)+(4x^4-2x^3-x^2+10x+2)
The value of (2x^4+x^3-x^2+3)+(4x^4-2x^3-x^2+10x+2) is 6x⁴-x³-2x²+10x+5
What is addition of expression?Expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)
Adding two expressions together requires to collect like terms. like terms are terms with similar variable. For example, in 2x²+6x+x² , x² and 2x² are like terms.
Therefore, 2x⁴+x³-x²+3 + 4x⁴-2x³-x²+10x+2 can be simplified as;
2x⁴+4x⁴+x³-2x³-x²-x²+10x+2+3
= 6x⁴-x³-2x²+10x+2
therefore, the value of 2x⁴+4x⁴+x³-2x³-x²-x²+10x+2 is 6x⁴-x³-2x²+10x+5.
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1).
A) supplementary
B) complementary
C) comesponding
D) alternate interior
Please answer very urgent!! answer using a / only 1 number for each slot example:3/4: wrong tho just random number but yeah please put the correct answer
Answer:
5/6
Step-by-step explanation:
to subtract fractions you change both fractions to the same denominator. The website arealdy did it for you. The second step is to subtract the top and put it over the common denominator. 8-3 is 5. 5/6
The height of a rectangular box is 7 ft. The length is 1 ft longer than thrice the width x. The volume is 798 ft³.
(a) Write an equation in terms of x that represents the given relationship.
The equation is
The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)
Let's break down the information given:
Height of the rectangular box = 7 ft
Length of the rectangular box = 1 ft longer than thrice the width (x)
Volume of the rectangular box = 798 ft³
To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.
The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.
Given that the height is 7 ft, we can substitute this value into the equation.
Volume = (Length) * (Width) * (7)
Now, let's focus on the length. It is described as 1 ft longer than thrice the width.
Length = 1 + (3x)
Substituting this value into the equation, we have:
Volume = (1 + (3x)) * (Width) * (7)
Since the volume is given as 798 ft³, we can set up the equation as follows:
798 = (1 + (3x)) * (Width) * 7
Simplifying further, we get:
798 = 7 * (1 + 3x) * (Width)
Dividing both sides of the equation by 7, we have:
114 = (1 + 3x) * (Width)
Therefore, the equation in terms of x that represents the given relationship is:
114 = (1 + 3x) * (Width)
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Researchers at Manchester Metropolitan University in England determined experimentally that if a piece of toast is dropped from a 2.5 foot high table, the probability that it lands butter side down is 0.81.A) Explain what this probability means.
B) If you dropped 100 pieces of toast, will exactly 81 of them land butter side down? Explain
C) Maria decides to test this probability and drops 10 pieces of toast from a 2.5 foot table. Only 4 of them land butter side down. Should she be surprised? Describe how you would carry out a simulation to answer this question, assuming the probability that the toast lands butter side down is 0.81. Do not perform the simulation.
D) The dot plot displays the results of 50 simulated trials of dropping 10 pieces of toast. Does the simulation suggest that Maria should be surprised? Explain.
A) The probability that a piece of toast lands butter side down when dropped from a 2.5-foot high table is 0.81 means that out of all possible outcomes of dropping a piece of toast from that height, 81% of the time it will land with the butter side facing down.
B) No, it does not mean that exactly 81 out of 100 pieces of toast will land butter side down. The probability of a single piece of toast landing butter-side down is 0.81, so when 100 pieces of toast are dropped, we can expect around 81 of them to land butter-side down on average, but the actual number may vary due to randomness.
C) Maria may or may not be surprised, depending on her expectations and the level of significance she sets for her test. To carry out a simulation, we can use a random number generator to simulate dropping 10 pieces of toast with a probability of 0.81 of landing butter side down. We can repeat this simulation multiple times, say 1000 times, and count the number of times the simulation yields 4 or fewer pieces of toast landing butter side down. If this rarely happens (e.g., less than 5% of the time), we can say that Maria should be surprised.
D) The dot plot displaying the results of 50 simulated trials of dropping 10 pieces of toast can provide some information about the variability of the outcomes. If most of the dots are clustered around 8 or 9 (which would correspond to 80% or 90% of the pieces of toast landing butter side down), then Maria's result of only 4 out of 10 pieces landing butter side down would be considered unusual, and she should be surprised. However, if the dots are spread over a wide range, it would suggest that getting 4 out of 10 is not that uncommon, and Maria should not be surprised.
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One t-shirt is sold to every 5 people who attend s concert.
What is one way to write unit rate in words?
A:1 T shirt for every 5 people
B:1 person per 5 T-shirts
C:5 T-shirts for eatch person
D:5 people per T-shirt
The answer would be 5 T-shirts for each person
Answer:
A) 1 T-shirt for every 5 people
Step-by-step explanation:
A is the best answer because it has the correct rate of 1 shirt for every 5 people, and it is easy to understand. D is also a plausible answer because it would be correct to say there are 5 people attending the concert for every shirt sold at the concert. However, A is worded better than D.
Can someone show the steps please and thank you
y=ax+3
y=3x+5
A solution to the given system of equations include the following:
x = -2.
y = -1.
How to solve this system of equations?In order to solve the given system of equations, we would apply the substitution method. From the information provided in the image attached above, we have the following system of equations:
y = 2x + 3 .......equation 1.
y = 3x + 5 .......equation 2.
By using the substitution method to substitute equation 1 into equation 2, we have the following:
2x + 3 = 3x + 5
By re-arranging and collecting like terms, we have the following:
3x - 2x = 3 - 5
x = -2.
For the value of y, we have the following:
y = 2x + 3
y = 2(-2) + 3
y = -4 + 3
y = -1.
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A coffee place is selling coffees for $2.50 each and cappuccinos for $3.75 each.
Today the coffee place sold a total of 70 drinks (coffees and cappuccinos) for a total of $222.50.
a) Write an equation that represents the information.
b) Solve the equation in (a) to find how many coffees and how many cappuccinos the coffee place sold today.
Answer:
Step-by-step explanation:
a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.
The equation that represents the given information is:
2.50x + 3.75y = 222.50
b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.
Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.
Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):
2.50(40) + 3.75y = 222.50
100 + 3.75y = 222.50
3.75y = 222.50 - 100
3.75y = 122.50
y = 122.50 / 3.75
y ≈ 32.67
In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.
We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.
Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.
Hi Guys
Please answer this question. I will choose Brainliest.
Worth 10 points and it is a Maths question.
Cheers,
Jake
Answer: x² + 3x - 10
Step-by-step explanation:
(x + 5)(x - 2)
Distribute:
x² - 2x + 5x - 10
Combine like terms:
x² + 3x - 10
Hope this helps!
what is (2x-7)+(5x-15)
Maddy's fourth grade class is going on 5 field trips. Each has a fee of $12.10. Sack lunches for each trip are an additional $2.75. Round each amount to the nearest dollar to find an estimate for the cost of all 5 trips.
A. $60
B. $65
C. $70
D. $75
Answer:
D
Step-by-step explanation: