Step-by-step explanation:
hope this helps first one Is in fraction form and second one is in decimal form
Is 1 a solution for the linear equation 8x - 19 = -4 - 7x?
Answer:
Yes. 1
Step-by-step explanation:
To solve the equation 8x - 19 = -4 - 7x, you must:
Rearrange the terms: 8x − 19 = −4 − 7x TO 8x − 19= − 7x −4Add 19 to both sides: 8x - 19 = - 7x = 4 TO 8x - 19 + 19 = - 7x -4 + 19Simplify by adding the numbers: 8x = - 7x + 15Add 7x to both sides: 8x + 7x = - 7x + 15 + 7xSimplify by combining like terms: 15x = 15Divide by like terms: 15x / 15 = 15 / 15 = 1x = 1Simplify: x = 1Which set of ordered pairs does not represent a function?
O {(9,0), (-5, -8), (2, -3), (-1,2)}
O {(-3,-5), (2,7), (-3,-4), (-1, -7)}
O {(–7,-4),(-1, –4), (5,2), (-8, – 7)}
O {(1, -8), (-3,4), (3, 1), (-7,4)}
Answer:
the answer is the second choice.
Step-by-step explanation:
in order for the pair to be a function the x-values cannot be repeated.
Answer:
the correct answer is A
Step-by-step explanation:
a biologist created the following graph to show the relationship between the temperature of water (x), in degrees celsius, and the number of insect larvae (y) in the water: what does the peak of the graph represent? the number of larvae in the water is greatest at 450 degrees celsius. the number of larvae in the water is greatest at 5 degrees celsius. the least number of larvae in the water is 450. the least number of larvae in the water is 5.
The peak of the graph represents option B: the number of larvae in the water is greatest at 5 degrees Celsius.
The peak of a graph represents the highest point of the graph. In this case, it represents the temperature at which the number of insect larvae in the water is greatest. So, if you look at the graph created by the biologist, you can see that the number of larvae in the water is greatest at 5 degrees Celsius.
The graph is a quadratic function graph because it is a parabola and opens downward; as a result, it has a negative leading coefficient, or a negative coefficient of x².
The function's graph demonstrates that,
The parabola's peak, or highest point, is (450).
In other words, if x=5, then the value of y=450.
That is, when the temperature of the water is 5°, then the number of larvae in water is 450. Therefore, at 5 degrees Celsius, the number of larvae in the water is at its peak.
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Complete question is:
A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and the number of insect larvae (y) in the water: what does the peak of the graph represent?
the number of larvae in the water is greatest at 450 degrees celsius.
the number of larvae in the water is greatest at 5 degrees celsius.
the least number of larvae in the water is 450.
the least number of larvae in the water is 5.
Are the ratios 4:3 and 5:4 equivalent?
Answer:
They're not promise
Step-by-step explanation:
I did it on the calculator
I hope this helps youuu
Have a good day <3
Polygons in the coordinate
In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.
How to know if it's a triangleFind the lengths of the three sides of the triangle using the distance formula.
Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.
If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.
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What is f(3) in the graph below?*
Answer:
(3, 2)
Step-by-step explanation:
Find the value of the variable x. If your answer is not an integer, write it in simplest radical form with
the denominator rationalized h
The value of the variables y and z are 18
How to determine the value of the variablesFrom the question, we have the following parameters that can be used in our computation:
The special right triangle
The special right triangle has one of its angles to be 45 degrees
This means that
Legs = Hypotenuse/√2
Using the above as a guide, we have the following:
Legs = 18√2/√2
Evaluate
Legs = 18
Hence, the value of y and z are 18
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For the figure below, give the following
Answer:
Step-by-step explanation:
B
what is the word used to describe a vector that always points toward the center of a circular path?
"Centripetal is the word used to describe a vector that always points toward the centre of a circular path."
The centripetal acceleration vector is an acceleration in the radial direction that is directed towards the centre of the circular line of motion. It runs perpendicular to the linear motion, or v.
The direction of the velocity shift for a ball travelling around a curve is in the direction of the curve's centre. Centripetal acceleration is the acceleration that is directed towards the centre of a curved or circular route.
Any force that changes the path of motion towards the centre of a circular motion is known as a centripetal force. The portion of the force that produces the centripetal force is the part that is perpendicular to the velocity.
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Sam wantds to put a fence around his garden. two sides are already near a fence and the other sides are 15 and 23 feet. how many feet of fencing does he ned
We cannot determine the exact amount of fencing Sam needs.
To find out how many feet of fencing Sam needs, we need to calculate the total perimeter of his garden.
First, let's find the length of the two sides that are already near a fence. Since these sides are already taken care of, we don't need to include them in our calculation.
Now, let's focus on the other two sides that are 15 and 23 feet long. To find the total perimeter, we need to add the lengths of all four sides together.
So, the total perimeter is 15 + 23 + (length of the two sides near the fence) + (length of the other side near the fence).
Since we don't know the length of the sides near the fence, we cannot calculate the exact length of the total perimeter.
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In circle I, IJ=4 and mJIK∠=90∘ Find the area of shaded sector. Express your answer as a fraction times π.
The area of the shaded sector is 4π square units.
To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.
Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.
Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.
The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.
Plugging in the values, we have A = (90/360) * π * 4².
Simplifying, A = (1/4) * π * 16.
Further simplifying, A = (1/4) * π * 16.
Canceling out the common factors, A = π * 4.
Hence, the area of the shaded sector is 4π square units.
Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.
In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.
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A(b c) = a • b a • c, where a, b, and c are real numbers use the distributive property to simplify the expression. 8(3 4) = 24
Answer:
I think you mistype the question?
Step-by-step explanation:
8×3×4 is not 24
It should be 2(3 4)
A storage room measures 9 1⁄2 feet by 6 feet by 9 1⁄2 feet. What is the volume of the storage room?
Answer:
C
Step-by-step explanation:
Volume formula: width*length*height
Ok, so let's plug in the numbers.
9.5*6*9.5=Volume
so volume = 541.5
Answer is C
Explain why all of these statements are false: (a) The complete solution to Ax = b is any linear combination of Xp and Xn. (b) The system Ax- b has at most one particular solution. (c) If A is invertible, there is no solution Xn in the nullspace.
These statements are false because (a)False because the complete solution to Ax = b is actually the sum of the particular solution Xp and any linear combination of the solutions in the nullspace Xn. (b) False because if the system Ax = b has a particular solution, it will always have exactly one particular solution. (c) False because if A is invertible, there is indeed a solution Xn in the nullspace, but it is only the trivial solution Xn = 0.
(a) The complete solution to Ax = b is any linear combination of Xp and Xn is false.
Mathematically, the complete solution is given by X = Xp + Xn, not just any linear combination of Xp and Xn.
(b) The system Ax = b has at most one particular solution.
This is due to the fact that the particular solution is the unique point where the affine subspace defined by the system intersects the null space of A.
(c) If A is invertible, there is no solution Xn in the null space.
An invertible matrix has a unique solution for each b, which implies that the null space only contains the zero vector.
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The algebraic representation of a transformation is (x,y) (3x,3y). This is an example of which type of transformation
To visualize this transformation, imagine a rectangle with vertices at and (0,2). Applying the transformation (x,y) → \((3x,3y)\) to each vertex, we get a new rectangle with vertices at \((0,0), (3,0), (3,6),\) and \((0,6)\), which is three times the size of the original rectangle.
What form can take Algebraic representations?Algebraic representations can take many forms, including equations, inequalities, functions, and matrices. These representations provide a powerful tool for analysing complex systems and deriving meaningful insights from them.
The algebraic representation \((x,y) (3x,3y)\) describes a dilation transformation, specifically an enlargement or stretch by a scale factor of 3 in both the x and y directions.
This means that every point in the original figure is multiplied by 3 in both the x and y directions, resulting in a larger, similar figure.
To visualize this transformation, imagine a rectangle with vertices at \((0,0), (1,0), (1,2),\) and \((0,2).\) Applying the transformation (x,y) → (3x,3y) to each vertex, we get a new rectangle with vertices at \((0,0), (3,0), (3,6),\) and (0,6), which is three times the size of the original rectangle.
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Find -6/7÷3/14 Write in simplest form
Answer:
-4
Step-by-step explanation:
(-6/7) / (3/14)
-0.8571428571 / 0.2142857143
-4
\(\huge\pink{\mathbb{Answer:}}\)
The simplest form of
\( \frac{ - 6}{7} \: \div \frac{3}{4} \)
is
\(-4\)
\(\huge\color{purple}{ \colorbox{orange}{\colorbox{white} {ChaEunWoo2009}}}\)
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PLS HELP
3. There are 35 bees in the hive when it is first observed on Saturday. After 3 days, there are 42 bees. It is determined that the population of bees increases exponentially.
How many bees are will there be after 30 days? Express your answer as an exact value and rounded to the nearest whole number
Answer:
210
Step-by-step explanation:
it increases by 7 so 7 times 30 days will be 210
If two sounds can form a minimal pair, they are allophones of two distinct phonemes. Group of answer choices True False
The given statement " If two sounds can form a minimal pair, they are allophones of two distinct phonemes." is true. because when two sounds can form a minimal pair, it demonstrates that the difference between the sounds is crucial for distinguishing the meaning of the words in the language as a result these sounds cannot be considered as allophones of the same phoneme, as they do not share the same underlying representation.
A minimal pair refers to two words that differ in only one sound but have different meanings. For example, "bat" and "pat" differ only in their initial consonants, /b/ and /p/, but have distinct meanings. This difference in meaning indicates that the two sounds are part of separate phonemes.
Phonemes are the basic, abstract units of sound in a language that can change the meaning of a word when substituted for one another. Allophones, on the other hand, are the various concrete realizations of a phoneme that do not change the meaning of a word. They are considered to be different surface forms of the same underlying phoneme.
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Simplify the quantity negative 7 times a to the 3rd power times b to the negative 3 power end quantity divided by the quantity 21 times a times b end quantity.
The simplified form of the expression \((-7a^3b^{-3})\) / (21ab) is \((-a^2) / (3b^3),\) removing negative exponents and canceling out common factors.
To simplify the given expression, let's break it down step by step.
The expression is:
\((-7a^3b^{-3}) / (21ab)\)
First, we can simplify the numerator by applying the exponent rules.
The negative exponent in the numerator can be rewritten as a positive exponent in the denominator:
\((-7a^3) / (21ab^3)\)
Next, we can simplify the fraction by canceling out common factors in the numerator and denominator. In this case, we can cancel out the common factor of 7:
\((-a^3) / (3ab^3)\)
Now, we can simplify the remaining terms by canceling out the common factor of 'a':
\((-a^2) / (3b^3)\)
Finally, we have simplified the expression to \((-a^2) / (3b^3)\).
In this simplified form, the expression no longer contains negative exponents or common factors in the numerator and denominator.
To summarize, the simplified form of the expression \((-7a^3b^{-3}) / (21ab)\) is \((-a^2) / (3b^3).\)
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The manager at a pizza store has a target value of 20 minutes for the delivery of pizzas. The delivery team consistently averages 19.8 minutes with a standard deviation of 0.5 minutes. Based on customer feedback, the manager has established upper specification limit of 22 minutes and a lower specification limit of 18 minutes for pizza deliveries. What is the process capability index? What should be the standard deviation to achieve a six sigma quality?
The process capability index (Cpk) is 1.2. To achieve a six sigma quality level, the standard deviation (σ) should be approximately 0.67 minutes.
To calculate the process capability index (Cpk), we need to determine the process capability in relation to the specified limits. Cpk is calculated using the following formula:
Cpk = min[(USL - μ) / (3 * σ), (μ - LSL) / (3 * σ)]
Where:
USL is the upper specification limit
LSL is the lower specification limit
μ is the mean (average) delivery time
σ is the standard deviation of delivery times
Given values:
USL = 22 minutes
LSL = 18 minutes
μ = 19.8 minutes
σ = 0.5 minutes
Let's calculate Cpk:
Cpk = min[(22 - 19.8) / (3 * 0.5), (19.8 - 18) / (3 * 0.5)]
= min[2.2 / 1.5, 1.8 / 1.5]
= min[1.47, 1.2]
= 1.2
Therefore, the process capability index (Cpk) is 1.2.
To achieve a six sigma quality level, we need to determine the required standard deviation (σ). The formula to calculate the process capability (Cp) for a six sigma level is:
Cp = (USL - LSL) / (6 * σ)
Given values:
USL = 22 minutes
LSL = 18 minutes
Let's calculate σ for a six sigma quality level:
Cp = (22 - 18) / (6 * σ)
1 = 4 / (6 * σ)
Solving for σ:
6 * σ = 4
σ = 4 / 6
σ = 0.67 minutes
Therefore, to achieve a six sigma quality level, the standard deviation (σ) should be approximately 0.67 minutes.
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a number multiplied by 5 and increased by 7 the result is 62
Answer:11
Step-by-step explanation: subtract 7 from 62, which give you 55, divide by 5 which gives you 11.
Answer:
Step-by-step explanation:
5X+7=62
5X=55
X=11
Danny travelled 327 miles on Monday. He then travelled n miles on Tuesday for a total of 578 miles. Write an equation to express how far Danny travelled.
Answer:
251 miles on Tuesday
Step-by-step explanation:
327 miles + n miles = 578 miles (total).
Solving this for n, we subtract 327 miles from both sides, obtaining:
n = 251 mi = distance Danny traveled on Tuesday
find f(2) given f(x) = 3x^2 + 2x + 16
Answer:
f(2) = 32
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
f(x) = 3x² + 2x + 16
f(2) is x = 2
Step 2: Evaluate
Substitute: f(2) = 3(2)² + 2(2) + 16Evaluate: f(2) = 3(4) + 2(2) + 16Multiply: f(2) = 12 + 4 + 16Add: f(2) = 32And we have our answer!
Two sides of a triangle measure 8 cm and 15 cm. Which could be the length of the third side? O 6 cm O18 cm O 24 cm O 28 cm
Answer:
18
Step-by-step explanation:
It's the only size that works.
Find the local maximum and minimum values and saddle point(s)of the function.
f(x, y) = 2x3 + xy2 + 5x2 + y2 +9
The local maximum and minimum values and saddle point(s) of the function f(x, y) = 2x^3 + xy^2 + 5x^2 + y^2 +9 are
a) Local minimum: (0, 0)
b) Local minimum: (-5/3, 0)
c) Local maximum and saddle point: (-1, -1)
To find the local maximum and minimum values and saddle point(s) of the function f(x, y) = 2x^3 + xy^2 + 5x^2 + y^2 +9, we need to find the critical points, which are the points where the gradient of the function is zero or undefined.
First, we find the partial derivatives of f(x, y) with respect to x and y
∂f/∂x = 6x^2 + 2y + 10x
∂f/∂y = 2xy + 2y
Setting both partial derivatives to zero, we get
6x^2 + 2y + 10x = 0
2xy + 2y = 0
Simplifying the second equation, we get:
y(2x + 2) = 0
Therefore, either y = 0 or 2x + 2 = 0.
Case 1: y = 0
Substituting y = 0 into the first equation, we get:
6x^2 + 10x = 0
Solving for x, we get:
x(6x + 10) = 0
Therefore, either x = 0 or x = -5/3.
Case 2: 2x + 2 = 0
Solving for x, we get:
x = -1
Now we have three critical points: (0, 0), (-5/3, 0), and (-1, -1).
To determine the nature of these critical points, we need to compute the second partial derivatives of f(x, y):
∂^2f/∂x^2 = 12x + 10
∂^2f/∂y^2 = 2x + 2
∂^2f/∂x∂y = 2y
Evaluating these at each critical point, we get
(0, 0):
∂^2f/∂x^2 = 10 > 0 (minimum)
∂^2f/∂y^2 = 2 > 0 (minimum)
∂^2f/∂x∂y = 0
(-5/3, 0):
∂^2f/∂x^2 = -2/3 < 0 (maximum)
∂^2f/∂y^2 = -2 < 0 (maximum)
∂^2f/∂x∂y = 0
(-1, -1):
∂^2f/∂x^2 = -2 < 0 (maximum)
∂^2f/∂y^2 = 0
∂^2f/∂x∂y = -2 < 0 (saddle point)
Therefore, the critical points (0, 0) and (-5/3, 0) are both local minima, while the critical point (-1, -1) is a local maximum and saddle point.
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Can someone help me with this please! I really need it done
increase the amount of the ingredients by 5 and by 20
Using simple mathematical operations, the missing values are as follows:
(B) Dijon Mustard: 18g
Increased by 20 = 360g(C) Barbeque sauce: 70g
Increased by 5 = 350gIncreased by 20 = 1,400g(D) Worcestershire sauce: 10.35g
Increased by 5 = 51.75gIncreased by 20 = 207g(E) Kosher salt: 1.5g
Increased by 5 = 7.5gIncreased by 20 = 30g(F) Ground black pepper: 2.3g
Increased by 5 = 11.5gIncreased by 20 = 46g(G) Crushed red pepper: 1.15g
Increased by 5 = 5.75gIncreased by 20 = 23gWhat do we mean by mathematical operations?A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.There are predefined rules associated with the math operator's symbol that must be applied to the supplied operands or numbers.The order of operations is a rule that outlines the proper steps to take when analyzing a mathematical equation.We can recall the PEMDAS steps in the following order: Parentheses, Exponents, Multiplication, Division (from Left to Right), Addition, and Subtraction (from left to right).So, we can calculate missing values as follows:
(B) Dijon Mustard: 18g
Increased by 20 = 18×20 = 360g(C) Barbeque sauce: 70g
Increased by 5 = 70×5 = 350gIncreased by 20 = 70×20 = 1,400g(D) Worcestershire sauce: 10.35g
Increased by 5 = 10.35×5 = 51.75gIncreased by 20 = 10.35×20 = 207g(E) Kosher salt: 1.5g
Increased by 5 = 1.5×5 = 7.5gIncreased by 20 = 1.5×20 = 30g(F) Ground black pepper: 2.3g
Increased by 5 = 2.3×5 = 11.5gIncreased by 20 = 2.3×20 = 46g(G) Crushed red pepper: 1.15g
Increased by 5 = 1.15×5 = 5.75gIncreased by 20 = 1.15×20 = 23gTherefore, using simple mathematical operations, the missing values are as follows:
(B) Dijon Mustard: 18g
Increased by 20 = 360g(C) Barbeque sauce: 70g
Increased by 5 = 350gIncreased by 20 = 1,400g(D) Worcestershire sauce: 10.35g
Increased by 5 = 51.75gIncreased by 20 = 207g(E) Kosher salt: 1.5g
Increased by 5 = 7.5gIncreased by 20 = 30g(F) Ground black pepper: 2.3g
Increased by 5 = 11.5gIncreased by 20 = 46g(G) Crushed red pepper: 1.15g
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(a)A line through (2,1) meets the curve x²-2x-y=3at A (-2,5)and at B. Find the coordinates of B
(b) A(3,1) lies on the curve (x-1)(y+1)=4. A line through A perpendicular to x+2y=7 meets the curve again at B. Find the coordinates of B.
An instructional designer wants to estimate the proportion of learners who use Firefox as their primary browser. What procedure should they use to make this estimate?
Confidence interval for a single mean
Hypothesis test for a single mean
Confidence interval for a single proportion
Hypothesis test for a single proprotion
The instructional designer should use the procedure of "Confidence interval for a single proportion" to make the estimate of the proportion of learners who use Firefox as their primary browser. (option 3)
This procedure allows for the estimation of the true proportion of the population within a certain level of confidence based on a sample proportion. It involves calculating a range of values within which the true proportion is expected to fall with a specified level of confidence. The procedure is appropriate when the variable of interest is categorical, and the goal is to estimate the proportion of individuals in a population who have a certain characteristic, in this case, using Firefox as their primary browser.
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A paper bag has five colored marbles. The marbles are red, green, blue, yellow, and orange. List the sample space when choosing one marble.
S = {1, 2, 3, 4, 5}
S = {red, blue, green, yellow}
S = {g, r, b, y, o}
S = {green, blue, yellow, orange}
The sample space for choosing one marble from the given marbles which are red, green, blue, yellow, and orange is s = {red, green, blue, yellow, orange}
Given color of the marbles which are present in the paper bag are,
red greenblueyelloworangeThe five color marbles are present in the paper bag so, the sample space also contains all five marbles without repeating any color again.
Sample space: sample space is nothing but listing all the outcomes of the event. In the above event, we have to list the all outcomes when choosing one marble from the paper bag which containing five different marbles.
So, the sample space S = {red, green, blue, yellow, orange}
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If I have 2(2.5)³, is it 2.5 to the power of 3? Or is it 2 to the power of 3?