Answer:
The solution to the system of linear inequalities x <= 8 and y > -3, represented on a coordinate plane, is a region that satisfies both inequalities. It is the half-plane formed by the line x=8 and above the line y=-3 .
Step-by-step explanation:
The solution to the system of linear inequalities x <= 8 and y > -3 can be represented on a coordinate plane as a region that satisfies both inequalities.
To graph the solution, we first plot the line x = 8 on the coordinate plane. Since x <= 8, this line represents the boundary of the solution. Everything to the left of the line x = 8 is included in the solution.
Next, we plot the line y = -3. Since y > -3, everything above the line y = -3 is included in the solution.
The final graph will be a half-plane formed by the line x=8 and above the line y=-3 .
Rowena sold a durians weighing 1.3 kg, 1.5kg, 1.4kg, and 1.6 Kg. and earns Php 353.80. How much is a kilogram of durian?
Total weight of the Durains sold by Rowena is 5.8 kg
What is Addition ?One of the four fundamental operations in mathematics is addition, along with subtraction, multiplication, and division. The entire amount or sum of the two whole numbers is obtained by adding them.
The units of mass, the kilogram and the gram, must first be translated into grams before being added. Thereafter, the basic addition procedure must be followed. As with regular numbers, we can add two or more mass units expressed in kilograms and grams. Always write grams as three-digit figures, such as 3g = 003g.
In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers being added, and the result or the final answer we get after the process is called the sum.
The weight of the Durains are 1.3 kg, 1.5kg, 1.4 kg and 1.6kg
Total weight of the Durains sold by Rowena is
(1.3 + 1.5 + 1.4 + 1.6) = 5.8 kg
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3. The probability of having an automobile accident in a given year is approximately
0.105. Automobile insurance cost an average of $600 a year and if you are in an
accident, the average coverage paid is $2,500. What is your expected value of buying car
insurance? (Remember all probabilities add up to 1)
The expected value of buying car insurance is $794.5.
What do you mean by insurance?Insurance is a contract between an individual or entity and an insurance company, in which the insurance company agrees to provide financial protection or reimbursement against losses in exchange for payment of premium. It is a form of risk management, mainly used to hedge against the risk of a contingent or uncertain loss.
The expected value of buying car insurance is the sum of the product of the value and the probability of each outcome. To calculate the expected value, we multiply the probability of having an accident by the average coverage paid ($2,500), and add it to the product of the probability of not having an accident multiplied by the insurance cost ($600).
So, expected value = (0.105 * $2,500) + (0.895 * $600) = $267.5 + $527 = $794.5
Therefore, the expected value of buying car insurance is $794.5.
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Please help it’s true or false respond!!
On solving the provided question, we can say that the answers of the quadrilateral are as follows 1.True; 2.False and 3.True
what is quadrilateral?A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
here,
the answers of the quadrilateral are as follows
1.True
2.False
3.True
4.True
5.False
6.False
7.True
8.True
9.True
10.False
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one hundred students were surveyed about their favorite kind of frozen yogurt. a circle graph titled favorite kind of frozen yogurt. 25 percent is vanilla, 35 percent is swirl, 40 percent is chocolate. how many more people chose chocolate than swirl? more people
If 25 percent like vanilla, 35 percent like swirl, 40 percent like chocolate, then 5 more people chose chocolate than swirl.
One hundred students were surveyed about their favorite kind of frozen yogurt.
Student like vanilla frozen yogurt = 25% = 0.25
Student like swirl frozen yogurt = 35% = 0.35
Student like chocolate frozen yogurt = 40% = 0.40
Now we determining the number of students who likes different kinds of frozen yogurt.
The number of student who like vanilla frozen yogurt = 100 × 0.25
The number of student who like vanilla frozen yogurt = 25
The number of student who like swirl frozen yogurt = 100 × 0.35
The number of student who like swirl frozen yogurt = 35
The number of student who like chocolate frozen yogurt = 100 × 0.40
The number of student who like chocolate frozen yogurt = 40
So the number of more people who chose chocolate than swirl = The number of student who like chocolate frozen yogurt - The number of student who like swirl frozen yogurt
The number of more people who chose chocolate than swirl = 40 - 35
The number of more people who chose chocolate than swirl = 5
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Answer:its 5 {:
Step-by-step explanation:
i just did it }:
En la tienda el r Jorge e compró un pantalón de 430$ y una camia de 380$ ¿Cuánto va pagar en total i aún le van a aumentar el IVA (16%) a u cuenta?
El Sr. Jorge va a pagar 810$ por los productos. Con el aumento del IVA del 16%, la cuenta total será 942.56$.
IVA en compra de ropaEl Sr. Jorge compró un pantalón por 430 dólares y una camisa por 380 dólares en la tienda, lo que significa que el costo total sin incluir el impuesto es de 810 dólares. Sin embargo, se aplicará un 16% de impuesto al valor agregado (IVA) al precio total, lo que significa que la cuenta final será de 942.56 dólares. Este es el costo total que el Sr. Jorge tendrá que pagar.
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the fifth term of an AP is -15, second term is 0 find the
(a) first term
(b) common difference
Answer:
a) The first term of an AP can be found using the formula for the nth term of an AP, which is a + (n-1)d, where a is the first term, d is the common difference, and n is the position of the term.
Using this formula, we can substitute the known values: -15 = a + (5-1)d
-15 = a + 4d
To find the first term, we will have to solve for a by isolating it on one side of the equation:
a = -15 - 4d
b) To find the common difference, we can use the relation between the second and fifth term.
The fifth term of an AP is -15, and the second term is 0, so we can use the formula for the nth term of an AP to find the common difference:
-15 = a + (5-1)d
-15 = a + 4d
To find the common difference, we will have to solve for d by isolating it on one side of the equation:
d = (-15 - a) / 4
IF THE PROBABILITY OF GETTING DRAW 0.1 THEN WHAT IS THE PROBABILTY OF NOT DRAW
Answer: 0.9
Step-by-step explanation:
The probability is 1 - 0.1
= 0.9
Suppose the solution set of a certain system of equations can be described as x1 = = 2 – 41, x2 = -1 – 1, x3 = 3t – 2, X4 –5 – 6t, where t is a free variable. Use vectors to describe this solution set as a line in R4
The solution set can be described as the line {(2-4t, -1-t, 3t-2, -5-6t)} in R4. This line can be defined by a vector (4, 1, 1, -6) and any point on the line (2, -1, 0, -5).
The solution set can be described by the line {(2-4t, -1-t, 3t-2, -5-6t)} in R4. To describe this line, we need a point on the line and a vector. The point on the line can be found by setting t = 0, so the point is (2, -1, 0, -5). The vector can be found by subtracting the point from each of the coordinates of the solution set, so the vector is (4, 1, 1, -6). This vector can be used to describe the line in R4, as any point on the line can be expressed as a multiple of the vector plus the initial point on the line. Therefore, the solution set of the system of equations can be described as the line {(2-4t, -1-t, 3t-2, -5-6t)} in R4, defined by the point (2, -1, 0, -5) and the vector (4, 1, 1, -6).
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A bus company charges a fixed amount plus a fee based on the distance traveled. The cost chart for the company is shown: Cost Chart Distance traveled (miles) (x) Cost (dollars) (y) 0 4 1 9 2 14 What is the fixed amount charged? (5 points) Question 9 options: 1) $4 2) $5 3) $10 4) $12
The fixed cost to travel is $4 which is option (1).
What is meant by the cost of an item?
A cost is the worth of money that has been expended to produce something or provide a service and is therefore no longer available for use in production, research, retail, and accounting. In the case of an acquisition cost, the money spent on the acquisition is considered the cost.
Given chart,
Distance travelled (miles) (x) Cost (dollars) (y)
0 4
1 9
2 14
We are asked to find the fixed amount charged.
From the data given, we can say that
The amount charged when no distance is covered is $4.
The amount charged per mile = 9-4 = 14 -9 = $5
A fixed cost is the amount that is charged no matter the distance travelled.
In this case, it is $4, as it is the money needed to get on the bus.
Therefore the fixed cost to travel is $4 which is option (1).
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question 3 (c) is f continuous at x=−3 ? using correct notation, justify your answer.
No, f is not continuous at x=-3. To show this, let's take the limit from both sides.
From the left side, the limit of f(x) as x approaches -3 is 5. From the right side, the limit of f(x) as x approaches -3 is 3. Since the two limits are not equal (5≠3), then f is not continuous at x=-3.No, f is not continuous at x=-3. This is because the limit of f(x) as x approaches -3 does not equal f(-3). The limit of f(x) can be calculated using the formula lim x->-3 f(x) = lim x->-3 (x^2 + 9). Calculating this limit, we get lim x->-3 f(x) = lim x->-3 (x^2 + 9) = 9. However, f(-3) = (-3)^2 + 9 = 0, which does not match the limit.
Mathematically, this can be shown using the following:
limx→−3 f(x) = 5 ≠ 3 = limx→−3+ f(x)
Since the two limits are not equal, then f is not continuous at x=-3.
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Which expressions are equivalent to :
-1/2 (4−2+8x)?
A. -4x -1
B. 4x +1
C. -2+1 - 4x
D. 2+1 -4x
E. 4x -1
F. 3x
Answer:
A. -4x -1
C. -2 +1 -4x
Step-by-step explanation:
You want expressions that are equivalent to -1/2(4 -2 +8x).
Distributive propertyThe distributive property tells you that multiplication distributes over addition:
-1/2(4 -2 +8x) = -1/2(4) +(-1/2)(-2) +(-1/2)(8x)
= -2 +1 -4x . . . . . . . matches choice C
Combining like terms, we have ...
= -1 -4x
Writing the terms in order of decreasing powers of x give us ...
= -4x -1 . . . . . . . . matches choice A
Chritine' rectangular bedroom ha a perimeter of 44 feet. The llength of her bedroom i 2 more than the width. What are the dimenion of her room
The dimensions of Christine's Bedroom are as the width of the room is 10 feet and the length is 12 feet.
Let x be the width of Christine's bedroom. Then the length is 2 more, or x + 2. The perimeter of the room is the sum of all four sides, so we can write an equation to represent this:
2(x) + 2(x + 2) = 44
Expanding and simplifying, we get:
4x + 4 = 44
Subtracting 4 from both sides:
4x = 40
Dividing both sides by 4:
x = 10
So the width of the room is 10 feet and the length is x + 2 = 10 + 2 = 12 feet. The dimensions of Christine's bedroom are 10 feet by 12 feet.
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functions s(10)=??
need help
Answer:
We're required to find s(10).
therefore , the polynomial applicable will be
[tex]s(x) = - 5{x}^{2} + x - 8 \: \\ \: ( \: since \: x > - 1)[/tex]
[tex]\therefore \: s(10) = - 5( {10}^{2}) + 10 - 8 \\ \dashrightarrow \: s(10) = - 5(100) + 2 \\ \dashrightarrow \: s(10) = - 500 + 2 \\ \dashrightarrow \: \boxed{ \: s(10) = - 498}[/tex]
hope helpful! :)
Please can I have help I will mark brainliest
Answer:
*1.5
Step-by-step explanation:
15/10＝1.5
80*1.5＝120
60*1.5＝90
30*1.5＝45
36*1.5＝54
Paula's Pizza Parlor uses the following ingredients to make pizza.
Number of Pizzas Sauce (oz) Cheese (oz)
4 28 16
5
At this rate, how much sauce and cheese will Paula use to make 5 pizzas?
Paula will use 27 oz of sauce and 45 oz of cheese to make 5 pizzas.
Paula will use 35 oz of sauce and 20 oz of cheese to make 5 pizzas.
Paula will use 29 oz of sauce and 17 oz of cheese to make 5 pizzas.
Paula will use 56 oz of sauce and 32 oz of cheese to make 5 pizzas.
At this rate, the amount of sauce and cheese which Paula would use to make 5 pizzas is: B. Paula will use 35 oz of sauce and 20 oz of cheese to make 5 pizzas.
What is a proportion?In Mathematics, a proportion can be defined as an equation which is typically used to represent the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
By applying direct proportion to the given information, we have the following number of sauce:
4 pizzas = 28 sauce
5 pizzas = X sauce
Cross-multiplying, we have:
X sauce = 5/4 × 28
X sauce = 35 sauces.
By applying direct proportion to the given information, we have the following number of sauce:
4 pizzas = 16 cheese
5 pizzas = X cheese
Cross-multiplying, we have:
X cheese = 5/4 × 16
X cheese = 20 cheese.
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Helppp!!! Binary operations number 9 only!!!
The operation * in the expression a*b = ab/4 + a + b is associative.
What is associative property?Under a specific operation, a set has the associative property if the result of the operation is the same regardless of how we group any sets of three or more elements joined by the operation.The associative property is a mathematical rule that states that the order of factors in a multiplication problem has no effect on the product.The associative property of addition asserts that the addends can be grouped in various ways without changing the outcome. The commutative property of addition states that the addends can be reordered without changing the outcome.∗ is association if (a∗b)∗c = a∗(b∗c)
(a∗b)*c = (ab/4*c)/4 = abc /16
a∗(b*c) = (a x (bc/4))/4 = abc /16
Since (a∗b)∗c=a∗(b∗c)∀a,b,cϵQ
∗ is an associative binary operation.
Since addition is also associative.
So here a*b = ab/4 + a + b is also associative.
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The triangular-shaped has a perimeter of 990 feet. walking path in the park shown . Write an equation to find the length of the side of the path represented by x.
Answer: So the length of one side of the triangular-shaped walking path is 330 feet.
Step-by-step explanation:
The perimeter of the triangular-shaped walking path is 990 feet, and the length of one side is represented by x. We can write an equation to find x using the formula for the perimeter of a triangle:
P = a + b + c
Where P is the perimeter, and a, b, and c are the lengths of the sides of the triangle. Since one of the sides is represented by x, the equation can be written as:
990 = x + x + x
Simplifying the equation, we can find the value of x:
990 = 3x
Dividing both sides by 3, we get:
330 = x
So the length of one side of the triangular-shaped walking path is 330 feet.
A set of paper bags are labeled A, B, C, D, E, F. The game is played by choosing two bags. Each of five of the bags holds $1.00 and one of the bags holds $10.00. The total of the amounts on the two bags chosen is the amount of winnings for the participants What are the possible total amounts of money you could win if you choose two bags?
Answer:2 or 11
Step-by-step explanation:
not one bc ur winning 2 bags and not 10 bc ur winning 2 bags so add one dollar to both 1 and 10
Mrs. Peterson had lunch at Lunchee's. She paid $12.99 for her meal. She left a tip of 2.60. What percent did she leave?
answer=
Answer:20.01%
Step-by-step explanation:Divide the tip left by the cost of the meal and multiply by 100 to get 20.01%
Answer: 20%
Step-by-step explanation:
We will find what percent 2.60 is of 12.99. First, we will divide. Then, we will multiply it by 100 to make a percent.
(2.6 / 12.99) * 100 = 20.0153 ≈ 20.02%
She left a 20.02% tip.
This shape is made up of one half-circle attached to a square with side lengths 7 inches. You can use 3.14 as an approximation for π. What is the approximate perimeter of the entire shape? Solve on paper, and enter your answer on Zearn. You can use your Zearn calculator to help you solve.
The approximate perimeter of the entire shape, given that it is a one - half circle attached to a square, is 32 inches
How to find the perimeter ?First, find the perimeter of the one - half of a circle with the formula:
= ( π x diameter ) / 2
The diameter is the same as the side of the square which is:
= ( π x 7 ) / 2
= 11 inches
The perimeter of the square component will be for 3 sides alone as the last side is covered by the semi - circle :
= 3 x 7
= 21 inches
The perimeter is:
= 11 + 21
= 32 inches
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If you invest $360.00 and your annual interest is $54, what is the interest rate
Answer:
The interest rate for this investment is 15%. This can be calculated by dividing the annual interest of $54 by the initial investment of $360, which gives a result of 0.15 or 15%.
The interest rate is 15%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Amount invested = $360
Interest amount = $54
Now,
The interest rate.
= 54/360 x 100
= 15%
Thus,
5% is the interest rate.
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There is a triangle DEF in which segment EG intersects the side DF at point G. Angle DEG and angle FEG are congruent. The length of the side DE and side EF is labeled as c. The length of the segment DG is labeled as a and the length of the segment EG is labeled as b.
What is m∠DFE if m∠DEG = 18°?
The m∠DFE in triangle DEF is 72°.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Given, There is a triangle DEF in which segment EG intersects the side DF at point G.
Angle DEG and angle FEG are congruent and the length of the side DE and side EF is labeled as c.
Now, If m∠DEG = 18° ⇒ m∠FEG = 18° and side EF and DE are equal so their opposite angles will also be equal.
Let, The two opposite equal angles be 'x'.
Therefore,
x + x + (18 + 18) = 180°.
2x + 36 = 180°.
2x = 144°.
x = 72°.
So, The measure of angle DFE is 72°.
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Can someone please help real quick
The area of square of a given figure with a side 4w is 16w ^2
What is Area of square ?
Area of square could be defined as the square of its side.
Given ,
From the figure,
There is square with a side 4w and given all sides are equal
so , we have to find the area of square ,
area of square could be = side*side
given side =4w
By substituting the given value,
we get,
= 4w* 4w
= 16 w ^2
So, area of square = 16w^2
Therefore, The area of square of a given figure with a side 4w is 16w ^2
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The graph below shows the solutions to which system of inequalities?
The inequalities that the represents the graph is; y < 1 and y ≥ x
How to identify system of inequalities from a graph?The general form of the equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, when the line is horizontal line is parallel to the x - axis, the equation is y equal to the number that the line crosses.
Now, Inequalities that use < or > symbols are plotted with a dashed line to show that the line is not included in the region. Thus, the horizontal line has the inequality; y = 1 But since the shading is below, then we have; y < 1
Now, the solid line shows that the symbol used is ≤ or ≥.
In this case, the x-values and the corresponding y-values are the same and as such we have; y = x
However, since the shading is above, then we have;
y ≥ x
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List the members of the set {2 < x < 51}
Answer:
{3,4,5,.........,49,50}
Step-by-step explanation:
All these numbers are greater than 2, but less than 51.
a six-sided dice is rolled twice. find the probability that the larger of the two rolls was equal to 3.
A six-sided dice is rolled twice then the probability that the larger of the two rolls was equal to 3, is 0.1389.
A six-sided dice is rolled twice.
Then the possibility of getting numbers in one rolled = 6
The possibility of getting numbers in second rolled = 6
So the possibility of getting numbers in both rolled = 6 × 6
The possibility of getting numbers in both rolled = 36
Let A be the event that have the larger of the two rolls was equal to 3.
So the possible outcomes;
A = {(1,3), (2,3), (3,3), (3,2), (3,1)}
So total number of possible outcomes to getting larger of the two rolls was equal to 3 = 5
Then the probability that the larger of the two rolls was equal to 3 = Number of possible outcome/Total of possible outcome
The probability that the larger of the two rolls was equal to 3 = 5/36
The probability that the larger of the two rolls was equal to 3 = 0.1389
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A father is twice as old as his son. If half that son's age, plus 84, equals twice the fathers age, how old is each person?
let the sons age be x
i srsly dont understand how to make formulas for this question
Answer:
The son is 56, and the father is 112.
Step-by-step explanation:
Formula:
1/2x+84=2x
Answer:
father=40
son=20
Step-by-step explanation:
We can start by using the information given to set up a system of equations.
First, we know that the father's age is twice the son's age, so we can write the equation:
father's age = 2 * son's age
Next, we know that half the son's age plus 84 equals twice the father's age, so we can write the equation:
(1/2) * son's age + 84 = 2 * father's age
Now we can substitute the first equation into the second equation to get:
(1/2) * son's age + 84 = 2 * (2 * son's age)
Solving for x
(1/2) * x + 84 = 4x
x=20
father = 2*20 = 40
son = 20
find each output
PLEASE HELP ME, 50 POINTS
The numeric values of the piecewise function are given as follows:
a) f(4) = -5.
b) f(-5) = -26.
c) f(2) = -7.
d) f(-2) = -11.
e) f(0) = -9.
f) f(-10) = -51.
How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.
A piecewise function is a function that has different definitions based on the input of the function.
The definitions for the function in this problem are given as follows:
Left of x = -2.Equals to x = -2 right of x = -2.Considering the first definition, the numeric values are given as follows:
f(-5) = 5(-5) - 1 = -26.f(-10) = 5(-10) - 1 = -51.For the second definition, the numeric values are given as follows:
f(4) = 4 - 9 = -5.f(2) = 2 - 9 = -7.f(-2) = -2 - 9 = -11.f(0) = 0 - 9 = -9.Learn more about the numeric values of a function at brainly.com/question/28367050
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Ralph jut received hi june flah card bill. He did not pay hi may bill in full, o hi june bill how a previou balance & a finance charge. The average daily balance i $470,& the monthly periodic rate i 1. 5% what hould ralph’ finance charge be?
If Ralph jut received hi june flah card bill. He did not pay hi may bill in full, o hi june bill how a previous balance & a finance charge. Ralph’ finance charge is: $0.588.
How to find the finance charge?First, calculate the monthly periodic rate (MPR) from the annual percentage rate (APR):
MPR = APR / 12
MPR = 1.5% / 12 = 0.125%
Next, calculate the finance charge by multiplying the average daily balance by the MPR:
Finance charge = Average daily balance * MPR
Finance charge = $470 * 0.125% = $0.588
Therefore Ralph's finance charge for June should be $0.588.
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lithium has a work function of 2.90 ev. light having a wavelength of 1850
The energy of the light is less than the work function of Lithium (2.11 eV < 2.90 eV), the light will not have enough energy to remove electrons from the material.
To find this we have the work function of Lithium is 2.90 eV, which is a measure of the minimum energy required to remove an electron from the surface of the material. The energy of light is proportional to its frequency (E = hf) or its wavelength (E = hc/λ), where h is Planck's constant, c is the speed of light, and λ is the wavelength of the light.
Given the wavelength of light as 1850 nm, we can calculate its energy as follows:
E = hc/λ = (6.63 x [tex]10^{-34}[/tex]Js) (3 x [tex]10^8[/tex] m/s) / (1850 x [tex]10^{-9[/tex]m)
= 3.38 x [tex]10^{-19[/tex] J
Since 1 eV = 1.6 x [tex]10^{-19[/tex] J, the energy of the light can be converted to eV as follows:
E (eV) = 3.38 x [tex]10^{-19[/tex] J / (1.6 x [tex]10^{-19[/tex] J/eV) = 2.11 eV
Since the energy of the light is less than the work function of Lithium (2.11 eV < 2.90 eV), the light will not have enough energy to remove electrons from the material.
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