Answer:
the domain is x ≥ -4
Step-by-step explanation:
on the x-axis, the graph does not extend below -4. the point on the graph is filled in, which makes the domain greater than or equal to -4.
hope this helped, good luck!
triangle k a p is congruent to Triangle akr by rule
If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. The rules to show this include SSS, SAS, ASA.
How to explain the triangle congruenceSide-Side-Side (SSS) Rule The SSS rule states that if three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent
The SAS rule states that if two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.
The ASA rule states that if two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent.
An overview was given due to the incomplete information.
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Which of the following uses the reciprocal property to rewrite
x/6 = 28/3?
Answer:
6/x = 3/28
Step-by-step explanation:
A fruit juice company include 1. 751 ounce of juice in a 6. 45
-ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice i NOT juice?
73.14 % of the 6.45-ounce bottle of mixed fruit juice is not juice.
To find out how much of the 6.45-ounce bottle is not juice, we need to subtract the amount of juice in the bottle, which is 1.751 ounces, from the total volume of the bottle, which is 6.45 ounces.
6.45 ounces - 1.751 ounces = 4.699 ounces
So, 4.699 ounces of the 6.45-ounce bottle is not juice.
Alternatively, we can express the answer as a percentage of the total volume of the bottle:
(4.699 / 6.45) x 100 = 73.14 %
So, 73.14 % of the 6.45-ounce bottle of mixed fruit juice is not juice.
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The scatter plot shows the systolic blood pressure of people of several different ages. The equation represents the linear model for this data. Y = x + 95 according to the model, how much does the systolic blood pressure increase for each year of age? responses 1 mm hg per year 1 mm hg per year 5 mm hg per year 5 mm hg per year 15 mm hg per year 15 mm hg per year 95 mm hg per year 95 mm hg per year 110 mm hg per year 110 mm hg per year.
The true statement is that blood pressure increases by 1 mm HG per year.
In geometry, we have seen the lines drawn on the coordinate plane. To predict whether the lines are parallel or perpendicular or at any angle without using any geometrical tool, the best way to find this is by measuring the slope. In this article, we are going to discuss what a slope is, slope formula for parallel lines, perpendicular lines, slope for collinearity with many solved examples in detail.
What is a Slope?
The equation that represents the linear model is:
y =x+95
Linear regression is represented as:
y=mx+b
Where:
m represents the slope
b represents the y-intercept
By comparison, we have: m=1
This means that:
The blood pressure increases by 1 mm HG per year.
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Choose the expression that is equivalent to the expression shown below. n/4+n/4+n/4+n/4
The expression that is equivalent to the expression n/4+n/4+n/4+n/4 is,
⇒ n
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
The expression is,
⇒ n/4 + n/4 + n/4 + n/4
Now, We can simplify the expression as;
⇒ n/4 + n/4 + n/4 + n/4
⇒ (n + n + n + n) / 4
⇒ 4n/4
⇒ n
Thus, The expression is equivalent to n.
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10007 in the expanded form.
Answer:
10,007
Ten thousand seven
Step-by-step explanation:
Is the domain of a function always all real numbers?.
The domain of a function is not always all real numbers.
We know that the domain of function is the set of all possible input values for which the function is well defined.
And the range of function is the set of all possible output values for given input.
As we know the domain of a function, f(x), is all real numbers when there are no restrictions on what we can take input for x, as all real numbers would make function f(x) true.
But the domain of a function is not always all real numbers.
consider the function f(x) = 1/x
This function is not defined for x = 0
So, the domain of above function f(x) is R - {0}
Also, we know that the domain of a logarithmic function is all non-zero positive real numbers.
Thus, the domain is not always set of all real numbers.
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10. Christian sold tickets to the Golden Knights hockey game. Lower Level seats were $50 each and Upper
Level seats cost $20 each. 2100 people attended and paid $66000. Write a system of linear equations that
can be used to find how many Lower Level seats (x) and how Upper Level seats (y) were sold. How many
of each type of seat were sold?
1500 Lower Level seats and 600 Upper Level seats were sold.
What is linear equation?Linear equation is an equation that can be written in the form ax + b = 0, where a and b are real numbers and x is a variable. In this equation, a is referred to as the coefficient of x and b is referred to as the constant. Linear equations are used to represent relationships between two variables and can be used to solve for either variable. Linear equations are used in many different fields of mathematics, including algebra, calculus, and geometry.
System of linear equations:
50x + 20y = 66000
x + y = 2100
Solving the system of equations gives:
x = 1500
y = 600
Therefore, 1500 Lower Level seats and 600 Upper Level seats were sold.
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URGENT!
find the value of x in each supplementary angle pair
Answer: X=9
180 -108=72
72/8=9
Answer:
x = 9° (or) 8x = 72°
Step-by-step explanation:
Now we have to,
→ find the required value of x.
We know that,
→ Straight line is always 180°.
Forming the equation,
→ 8x + 108° = 180°
Then the value of x will be,
→ 8x + 108° = 180°
→ 8x = 180° - 108°
→ 8x = 72°
→ x = 72° ÷ 8
→ [ x = 9° ]
Hence, the value of x is 9°.
What i the total cot of 1. 8 cubic yard of oil if it ell for $17 per cubic yard ?
The total cost of 1.8 cubic yards of oil at $17 per cubic yard would be $30.6.
Cost of Oil CalculationThis can be calculated by multiplying the number of cubic yards (1.8) by the cost per cubic yard ($17).
1.8 × 17 = $30.6
The calculation I provided is a basic mathematical concept of multiplying a quantity (1.8 cubic yards) by a unit price ($17 per cubic yard) to find the total cost. This is a fundamental concept in mathematics, specifically in the field of arithmetic, which deals with the manipulation of numbers and basic mathematical operations such as addition, subtraction, multiplication, and division.
Arithmetic is a branch of mathematics that deals with the manipulation of numbers and basic mathematical operations such as addition, subtraction, multiplication, and division. The formula 1.8 cubic yards x $17 per cubic yard = $30.6 is an example of multiplying a quantity by a unit price which is an arithmetic operation. This operation is used to find the total cost of a specific quantity of a product or material that is sold by volume.
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Wyatt is typing his science paper. He can type 50 words per minute. Write an equation that shows the relationship between the number of minutes Wyatt types, x, and the number of words he types, y. y=
Answer:
Step-by-step explanation:The equation that shows the relationship between the number of minutes Wyatt types, x, and the number of words he types, y, is:
y = 50x
This equation shows that the number of words Wyatt types is directly proportional to the number of minutes he types. For every 1 minute he types, he types 50 words.
This equation can also be read as "y is equal to 50 multiplied by x" which means that for any given number of minutes, x, that Wyatt types for, the number of words he types will be 50 times that value.
Louis has 1 green counter, 2 white counters
and 2 yellow counters in a box.
Louis takes one counter at random from the
box, puts it back, and takes another
counter from the box.
The probability that Louis takes two green counters is 1/9, since there is only one green counter in the box.
What is random probability? Random probability is a mathematical concept that describes the likelihood of a given event occurring. It is a measure of the chance that a certain event will happen, expressed as a percentage or a fraction. Random probability is based on the idea that all outcomes of a situation are equally likely to occur, and the probability of any event occurring is the same as any other event. For example, the probability of rolling a six on a standard die is 1/6, or 16.7%. Random probability is used in many different fields, from gambling to weather forecasting. It is also used in scientific experiments and research, to determine the likelihood of a certain outcome occurring. Random probability can be used to measure the probability of success in any given situation. For example, a company may use random probability to determine how likely it is for a particular product to be successful in the market. By understanding random probability, companies can make more informed decisions about their products and services, and gain a better understanding of their risks and rewards.To learn more about probability refer to:
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How do you multiply mixed numbers step by step?.
1: Convert the mixed number into an improper fraction.
2: Multiply the numerators and denominators of the two fractions separately.
3: Simplify by eliminating the common factors to get the lowest form of the result.
Now, According to the question:
A mixed number is a whole number and a proper fraction represented together. It generally represents a number between any two whole numbers.
For Example:
[tex]4\frac{1}{2}[/tex] and [tex]3\frac{1}{3}[/tex]
[tex]4\frac{1}{2}[/tex] = (4 × 2 +1)/2 = 9/2
[tex]3\frac{1}{3}[/tex] = (3 × 3 + 1)/3 = 10/3
[tex]4\frac{1}{2}[/tex] × [tex]3\frac{1}{3}[/tex] = 9/2 × 10/3 = 90/6 = 15
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what is 345 divided by 2:3
Answer:
Est: 517
Answer: 517.499999974
Step-by-step explanation:
Is a triangle 180 or 360?.
Answer:
180° are triangles 360° are circles
Step-by-step explanation:
Rina ha been viiting the coffee hop everyday for 7 day. Each day, he pent a dollar more than he did the day before. If he tarted going to the coffee hop on Monday, pending $ 1, how much did he pend on average daily for that week?
Rina has been visiting the coffee shop every day for 7 days and he spent an average of $1 each day he visited the coffee shop during the week.
He started on Monday, spending $1, and each day he spent a dollar more than he did the day before. By the end of the week, he had spent $7. To calculate the average amount he spent each day, add up the total amount of money he spent that week and divide it by 7 (the total number of days he visited the shop).
7/7=1
In this case, the total amount of money spent was $7, so when divided by 7, the average amount spent each day is $1. Therefore, Rina spent an average of $1 each day he visited the coffee shop during the week.
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The jazz band sells 30 large boxes of fruit and 75 smallboxes of fruit for a fundraiser
a. Use the Distributive Property to write and simplify an expression for
the profit
b. A large box of fruit costs $7 and a small box of fruit costs $3. What is the juz band's profit?
Jazz Band Makes $785 in Profit.
What is the juz band's profit ?31 huge boxes and 74 little boxes of fruit are sold by the jazz band.
The cost is $x and the price is $20 for each huge fruit box.
Price minus Cost is referred to as profit.
Profit therefore equals 20 - x for one large fruit box.
31 huge fruit boxes at a profit (20 - x)
Each little fruit box costs $10 and costs $10 per small fruit box.
Each tiny fruit box has a profit of 10–y.
74 little fruit boxes worth of profit (10 - y)
For 74 small boxes and 31 large boxes, the overall profit will be:
Profit overall equals 31 (20-x) + 74. (10 - y)
We can reduce the problem above by using the distributive property as follows:
Total profit is equal to 31(20)-31x + 74(10)-74y.
Profit total = 1360 - 31 x - 74 y
Part B)
Each large package is estimated to cost $9.
Accordingly, x = 9.
Each tiny box is stated to cost $4.
Therefore, y = 4.
We can determine the Jazz Band's profit by using the x and y numbers from the profit equation.
Profit of Jazz Band = 1360 - 31(9) - 74. (4)
Jazz Band Makes $785 in Profit
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What is also called Avogadro's number?.
The numerical value of both the mole and Avagadro’s number is 6.022 x 10²³. That is why the mole is also called Avogadro's number.
The Avogadro constant, A, is the number of particles (such as atoms, molecules, or ions) in one mole of something. Its value is modernly defined as exactly 6.022 140 76 × 10²³. (As it is a pure number, it has no units.)
So, in 1 mol of helium, which has a mass of (very close to) 4 g, there are A
atoms; in 1 mol of sucrose, with a mass of 342 g, there are A molecules.
We can have moles of other kinds of things, including subatomic particles. The amount of charge known as the faraday is the charge of one mole of electrons (A of them; about 96 500 C).
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What is inverse 2x2?.
If a 2×2 matrix A is reverse and is multiplied by its inverse (indicate by the symbol A−1), the develop product is the Identity matrix which is indicate by I.
In fact, I can control the order or direction of multiplication between matrices A and A−1, and I would still get the Identity matrix I. That means reverse matrices are commutative.
A×A^-1= I.
In normal, the inverse of a matrix A is found using the formula (adj A)/ (det A), where "adj A" is the "adjoint of A" and "det A" is the "determinant of A".
the inverse of a 2x2 matrix, say A, is a matrix of the similar order known by A^-1 such that AA^-1 = A^-1A = I, where I is the identity matrix of order 2x2.
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Could someone please help me on this? The answer is NOT c.
Answer:
The answer is D the second quadrant.
Step-by-step explanation:
HAVE A GREAT DAY!!!!!
Help, please?? As soon as possible would be appreciated
The definition for the function is b.
What is the definition for the function?In the graph, the left line is a ray.So, when x is 2, left ray cannot get the value as 2 .Thus x <2
The intersection of the outer axis is (0,1) .So the constant term of the equation is 1
Initially, functions represented the idealized relationship between two changing quantities. A planet's position, for instance, depends on time. In the past, the idea was developed with the infinitesimal calculus at the end of the 17th century, and the functions that were taken into consideration until the 19th century were differentiable that is, they had a high degree of regularity.To learn more about function, refer:
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Rachel jut old her home and paid $18,427 in cloing cot. Her brokerage fee, which i included in that figure, wa 6%. She netted $230,063. What were her non-brokerage fee-related cloing cot? Round to the nearet dollar
Rachel's non-brokerage fee-related closing costs can be calculated by subtracting the brokerage fee from her total closing costs.
Since the brokerage fee was 6%, the fee comes out to be $1,105.20. To calculate the non-brokerage-related closing costs, subtract $1,105.20 from the total closing costs of $18,427, which yields a total of $17,321.80.
18427-1105.20=17321.80
This is the amount of non-brokerage fee-related closing costs that Rachel paid for her home. Rachel's net gain from the sale of her home was $230,063, which is the difference between the sale price of her home and the total closing costs, including the brokerage fee.
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for each sequence,find the first 4th terms and the 10th terms.
a)10-n
b)6-2n.
The numbers for the sequences are 10-n = 9, 8, 7, 6, 0, and 6-2n = 4,2, 0, -2, and -14.
What is a sequence?A sequence is a series of numbers that follow the sample principle in terms or order. In this case, the sequence is determined by the equations given, and based on this the numbers are calculated.
What are the numbers in these sequences?10-n:
10 - 1 = 9
10 - 2 = 8
10 - 3 = 7
10 - 4 = 6
And the 10th term is
10- 10 = 0
6-2n:
6 - 2 = 4
6 - 4 = 2
6- 6 = -0
6 - 8 = -2
And the 10th term is
6 - 20 = -14
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What is the value of f of 2?.
The value of f of 2, which means f(2), is 6.
As we know,
f'(x) = [tex]\[ \lim_{h\to0}[/tex] [f(x+h) - f(x)]/h
= [tex]\[ \lim_{h\to0}\\[/tex] [f(3x + 3h)/3 - f(3x + 0)/3]/h
= [tex]\[ \lim_{h\to0}\\[/tex] [{2 + f(3x) + f(3h)}/3 - {2 + f(3x) + f(0)}/3]/h
∴f'(x) = [tex]\[ \lim_{h\to0}\\[/tex] [f(3h) - f(0)]/3h-0 = f'(0)
⇒ f′(2) = f′(0) = 2 [∵f′(2) = 2]
⇒f′(x) = 2
Now, apply integration on the above equation with respect to x
∴f(x) = 2x + c (1)
Substituting x = 0 = y in f{(x+y)/3} = {2 + f(x) + f(y)]/3
⇒3f(0) = 2 + f(0) + f(0)
∴f(0) = 2
By equation (i) f(0) = 2.0 + c
∴c = 2 [∵f(0) = 2]
Now (1) becomes
∴f(x) = 2(x + 1)
Put x = 2
f(2) = 2(2 + 1) = 2 × 3 = 6
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Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x-3y=18
The slope intercept form of a line is,
⇒ y = x - 6
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
We have to given that;
The equation is,
⇒ 3x - 3y = 18
Now, We know that;
The slope intercept form of the equation is,
⇒ y = mx + b
Here, The equation of line is,
⇒ 3x - 3y = 18
Take 3 as common,
⇒ 3(x - y) = 18
Divide by 3;
⇒ x - y = 18/3
⇒ x - y = 6
⇒ x - 6 = y
⇒ y = x - 6
Thus, The slope intercept form of a line is,
⇒ y = x - 6
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Find the bearing of d from a
Please help!
The bearing of D from A is given as follows:
24º.
How to obtain the bearing of D from A?The bearing of D from A is obtained using the angle addition postulate, which states that if two angles share a common vertex and a common angle, forming a combination, the larger angle will be given by the sum of the smaller angles.
The angle measures for this problem are given as follows:
x, 166, 15 and 155.
The total of these measures is of 360º, hence the value of x, representing the bearing of D from A, is given as follows:
x + 166 + 15 + 155 = 360
x + 336 = 360
x = 24º.
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How do you graph logarithms?.
Step 1: Find some points on the exponential f(x). The more points we plot the better the graph will look.
Step 2: Switch the x and y values to obtain points on the inverse.
Step 3: Determine the asymptote.
Graph the following logarithmic functions. State the domain and range.
A logarithmic scale (or log scale) is a way of displaying numerical facts over a completely extensive range of values in a compact manner—typically the biggest numbers inside the data are loads or even lots of times large than the smallest numbers.
Logarithmic scales are useful for quantifying the relative alternate of a fee in place of its absolute distinction. moreover, because the logarithmic feature log(x) grows very slowly for huge x, logarithmic scales are used to compress massive-scale scientific statistics.
A logarithm is an exponent or power to which a base need to be raised to yield a given quantity. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logo n. for example, 23 = 8; therefore, 3 is the logarithm of eight to base 2, or 3 = log2 eight.
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What does a square have in common with a rectangle?
Each squares and rectangles are a form of quadrilateral, with four inner angles that are both 90 degrees, and opposite sides that are parallel to one another.
Are a square and a rectangle usually similar?
As a result, every square is a rectangle since it is a quadrilateral with right angles at each of its four corners. But not all rectangles are squares; for a shape to be a square, all of its sides must be the same length.
What is a rectangle, exactly?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. As a result, it is sometimes referred to as an equiangular quadrilateral.
The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.
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Under what conditions is a radical expression in simplest form?.
Algebraic expressions involving radicals are known as radical expressions. The root of an algebraic expression makes up the radical expressions (number, variables, or combination of both).
Three conditions must be satisfied for a radical expression to be in its simplest form, that is, first, No radicands other than 1 have perfect square factors.
Secondly, there isn't a fraction in any radicand and finally, the fraction's denominator has no radicals.
A radical expression can be reduced to a simple form by first factoring it into primes, then finding the radical's index, and finally moving the group of numbers either inside or outside the radical.
The expressions both inside and outside the radical can then be made simpler by adding up all the numbers inside the radical.
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2x^ 3 +17x^ 2 +20x+6 is divided by 2 x + 1
Answer:
The quotient is x^2 + 9x + 6 with a remainder of 6.
Step-by-step explanation:
I used the polynomial long division method to divide the polynomial 2x^3 + 17x^2 + 20x + 6 by 2x + 1.
First, I divided the leading coefficient of the dividend (2x^3) by the leading coefficient of the divisor (2x). This gave me x^2 as the first term of the quotient.Next, I multiplied the divisor (2x + 1) by the first term of the quotient (x^2) to get 2x^3 + x^2.I then subtracted this product from the dividend (2x^3 + 17x^2 + 20x + 6) to get 17x^2 + 20x + 6 as the new dividend.I then brought down the next term of the dividend (17x^2) and divided it by the leading coefficient of the divisor (2x) to get 8.5x as the next term of the quotient.I then multiplied the divisor (2x + 1) by this term (8.5x) to get 17x^2 + 8.5x.I subtracted this product from the new dividend (17x^2 + 20x + 6) to get 0.5x + 6 as the new dividend.I brought down the next term of the dividend (0.5x) and divided it by the leading coefficient of the divisor (2x) to get 0.25x as the next term of the quotient.I multiplied the divisor (2x + 1) by this term (0.25x) to get 0.5x.I subtracted this product from the new dividend (0.5x + 6) to get 6 as the remainder.So the quotient is x^2 + 8.5x + 0.25x which simplifies to x^2 + 9x + 6 and the remainder is 6.
Answer:
[tex] \sf x^ 2 +17x^ 2 +20x+6[/tex]
Step-by-step explanation:
[tex] \sf \frac{2x^ 3 +17x^ 2 +20x+6}{ 2 x + 1}[/tex]
2x³/2x = x²
[tex] \sf \frac{x^ 2 +17x^ 2 +20x+6}{ 1}[/tex]
[tex] \sf x^ 2 +17x^ 2 +20x+6[/tex]