Answer:
C)8
Step-by-step explanation:
So you are supposed to fill in that bottom equation with the top to get
-4x=x2+2x+8
+4x
x2 +6x+8
(x+4)(x+2) (remember x=-2,-4)
y=-4x
y=-4(-4)
y=16
y=-4x
y=-4(-2)
y=8
The average high temperatures in degrees for a city are listed. 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57if a value of 98° is added to the data, how does the mean change?a. the mean increases by 8.2°. b. the mean decreases by 8.2°. c. the mean increases by 1.4°. d. the mean decreases by 1.4°.
Answer:
b
Step-by-step explanation:
The diagram illustrates the water cycle. Which best describes the process occurring at U and X
The diagram of water cycle is attached below.
The best describes the process occurring at U and X is Water changes from a liquid to a gas.
The process that occurs at the position of U and X is discussed when water transforms from a liquid to a gas. This is called Evaporation.
The following are the situations that should not be arisen at the location U and X:
when water transitions from a liquid to a gas.From living to non-living, water cycles exist.Additionally, water cycles from non-living to living things.Learn more about Water cycle here:
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Solve -\frac{1}{3}\left(9x+42\right)-5x=-70 please
The value of x after solving the fraction \(-\frac{1}{3}\left(9x+42\right)-5x=-70\) is 7.
Given fraction:
⇒ \(-\frac{1}{3}\left(9x+42\right)-5x=-70\)
⇒ -9x/3 - 42/3 - 5x = -70
⇒ -3x - 14 - 5x = -70
⇒ -8x -14 = -70
⇒ -8x = -70 + 14
⇒ -8x = -56
⇒ 8x = 56
divide by 8 on both sides
8x/8 = 56/8
x = 56/8
x = 7.
Therefore The value of x after solving the fraction \(-\frac{1}{3}\left(9x+42\right)-5x=-70\) is 7.
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The exchange rate is 1. 65 Bosnian markas per U. S. Dollar. The price of a refrigerator in Bosnia is 1964 markas while in the U. S. It is $1357. The real exchange rate is approximately
We will see that the real exchange rate is approximately 1.447 markas per U.S. dollar.
What is the real exchange rate?Here we need to perform a change of units procedure.
We know that the price of a refrigerator in Bosnia is 1964 markas, while in the US is $1357.
Then we can write the relation:
1964 markas = $1357
Now, we want to find the value in markas for a single dollar, then we divide both sides by 1357 to get:
(1964 markas)/1357 = $1357/1357
1.447 markas = $1
This means that the exchange rate is 1.447 markas per U.S. dollar.
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7m+9, for m=2.
What's the value of this equation
Answer:
replace m with 2 and do 7(2)+9
13. Verify that the difference of two consecutive squares is never divisible by 2 ; that is, 2 does not divide \( (a+1)^{2}-a^{2} \) for any choice of \( a \).
It is verified that the difference of two consecutive squares is never divisible by 2; that is, 2 does not divide (a+1)^2-a^2 for any choice of a.
Let's begin by squaring a+1 and a.
The following is the square of a+1: \((a+1)^{2}=a^{2}+2a+1\)
And the square of a: \(a^{2}\)
The difference between these two squares is: \( (a+1)^{2}-a^{2}=a^{2}+2a+1-a^{2}=2a+1 \)
That implies 2a + 1 is the difference between the squares of two consecutive integers.
Now let's look at the options for a:
Case 1: If a is even then a = 2n (n is any integer), and therefore, 2a + 1 = 4n + 1, which is an odd number. An odd number is never divisible by 2.
Case 2: If a is odd, then a = 2n + 1 (n is any integer), and therefore, 2a + 1 = 4n + 3, which is also an odd number. An odd number is never divisible by 2.
As a result, it has been verified that the difference of two consecutive squares is never divisible by 2.
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Lin's father is paying for a $20 meal. He has a 15%-off for the meal. After the discount, a 7% sales tax is applied. How much is the 15% coupon worth?
I need this answered sometime today pls , if you get it right when i submit test i will give you brainliest! :)
The proof that point (1. √5) lies on the circle that is centered at the origin and
contains the point (0, 2) is found in the table below. What is the justification
for the 5th statement?
Statement
A circle is centered at (0, 0) and
contains the point (0, 2).
The radius of the circle is the distance
from (0, 0) to (0, 2).
The distance from (0, 0) to (0, 2) is
√0-0)+(2-0)-√√2-2
If (1, 3) lies on the circle it must be
the same distance from the center as
(0, 2).
The distance from (1, √3) is
√0-1-0-√3)=√1+3=2
Since (1, 3) is 2 units from (0, 0), it
lies on a circle that is centered at the
origin and contains the point (0, 2).
Justification
Given
Definition of radius
Distance formula
Definition of a circle
Definition of a circle
The Justification for the 5th statement is option B Distance formula.
What is the distance about?The distance formula is one that is seen as a mathematical formula used to calculate the distance that exist between two points in a coordinate plane. it is seen as:
The distance between two points (x₁, y₁) and (x₂, y₂) is given by:
d = \(\sqrt{(x_{2} - x_{1} )^2 + (y_{2} -y_{1} )^2}\)
In this formula, (0,0) to (0, 2) will be inputted as:
d = \(\sqrt{(0 - 0 )^2 + (2 -0 )^2} = \sqrt{2^2} = 2\)
Therefore this statement of the justification is also the distance Formula, so we assume the distance from (0,0) to (1, √2) that brings about 2 and is also seen as the radius of the circle.
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5^4 / 5^2 =
(Type exponential notation with positive exponents.)
The expression 5⁴/5² will result in 5².
What is numerator and denominator?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
In another word, if we divide two numbers by each other then the upper word is called the numerator, and a lower word is called the denominator.
For example a fraction 1/5 here 1 will be the numerator and 5 will be denominated.
Given that, 5⁴/5²
5⁴/5² = 5²×5²/5²
⇒ 5²
Hence "The expression 5⁴/5² will result in 5²".
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Direction: Choose the letter of the best answer and we
on your ans
1) Given f(x) = 2x - 5 & g(x) = 3x +4, solve for (gof)(x).
C. 6x - 11
11 - 6
Answer:
C
Step-by-step explanation:
To find (g ○ f)(x), substitute x = f(x) into g(x) , that is
g(2x - 5)
= 3(2x - 5) + 4
= 6x - 15 + 4
= 6x - 11 → C
y = | x| - 7…………………. Help
All the points on the graph represent the possible solution coordinates of the function y = |x| - 7.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as -
y = |x| - 7
The given function is -
y = |x| - 7
Refer to the graph of the function attached. All the points on the graph represent the possible solution coordinates of the function {y}.
Therefore, all the points on the graph represent the possible solution coordinates of the function {y}.
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consider the situation of exercise 9.11. estimation of the mean diameter, while important, is not nearly as important as trying to pin down the location of the majority of the distribution of diameters. find the 95% tolerance limits that contain 95% of the diameters
The 95% tolerance limits that contain 95% of the diameters is 2.262
Diameter:
In math, the straight line passing through the center of a circle or sphere and meeting the circumference or surface at each end is known as diameter.
Given,
Here we need to find the 95% tolerance limits that contain 95% of the diameters estimation of the mean diameter, while important, is not nearly as important as trying to pin down the location of the majority of the distribution of diameters.
According to the given question we have identified the following values,
Tolerance percentage = 95%
Diameter percentage = 95%
x = 61,492
n = 10
s = 3035
c = 95% = 0.95
Now, the value of t is determine by looking in the row starting with degrees of freedom
=> df = n−1 = 10−1 = 9 and in the column with
=> α/2 = (1−c)/2
=>0.025
Then as per the table of the Student’s T distribution:
=> tα=2.262
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1. Correct to the nearest millimetre, the length of a side of a regular hexagon is 3.6 cm. Calculate the upper bound for the perimeter of the regular hexagon.
2. Kelly runs a distance of 100 metres in a time of 10.52 seconds.
The distance of 100 metres was measured to the nearest metre.
The time of 10.52 seconds was measured to the nearest hundredth of a second.
(d) Calculate the lower bound for Kelly’s average speed. Write down all the figures on your calculator display.
3. Steve measured the length and the width of a rectangle.
He measured the length to be 645 mm correct to the nearest 5 mm.
He measured the width to be 400 mm correct to the nearest 5 mm.
Calculate the lower bound for the area of this rectangle.
Give your answer correct to 3 significant figures.
4. The length of the rectangle is 35 cm correct to the nearest cm.
The width of the rectangle is 26 cm correct to the nearest cm.
Calculate the upper bound for the area of the rectangle.
Write down all the figures on your calculator display.
1. The upper bound for the perimeter of the regular hexagon is 21.9 cm.
2. All figures on the calculator display for the calculation of Kelly's average speed is: 99.5 / 10.51 = 9.46717412
3. the lower bound for the area of the rectangle is 2.55 × 10⁵ mm²
4. Upper bound for area = 937.6525 cm²
How to calculate the perimeter of the hexagon1. The upper bound for the perimeter of the regular hexagon can be calculated by multiplying the length of one side by 6 (the number of sides in a hexagon):
Upper bound for perimeter = 6 × (3.6 + 0.05) = 21.9 cm (rounded to one decimal place)
2. Kelly's average speed can be calculated by dividing the distance she ran by the time she took:
Average speed = distance / time
The lower bound for the distance is 99.5 m (since 100 m was measured to the nearest meter, the actual distance could be as low as 99.5 m).
The lower bound for the time is 10.51 s (since 10.52 s was measured to the nearest hundredth of a second, the actual time could be as low as 10.51 s).
Therefore, the lower bound for Kelly's average speed is:
Average speed = 99.5 / 10.51 = 9.4617 m/s (rounded to 4 decimal places)
3. The length of the rectangle is 645 mm correct to the nearest 5 mm, which means it could be as small as 642.5 mm or as large as 647.5 mm. We can express this as:
645 mm ± 2.5 mm, similarly
400 mm ± 2.5 mm
Lower bound for length = 645 - 2.5 = 642.5 mm
Lower bound for width = 400 - 2.5 = 397.5 mm
Lower bound for area = 642.5 × 397.5 = 255393.75 mm²
Rounded to 3 significant figures, the lower bound for the area of the rectangle is 2.55 × 10⁵ mm².
4. To calculate the upper bound for the area of the rectangle, we need to multiply the upper bounds for the length and width of the rectangle:
Upper bound for length = 35 + 0.45 = 35.45 cm
Upper bound for width = 26 + 0.45 = 26.45 cm
Upper bound for area = 35.45 × 26.45 = 937.6525 cm²
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3(5y - 42) for y = 4
A.
12
B.
36
C.
44
D.
108
Answer:
-66
Step-by-step explanation:
y = 4
3(5y - 42)
3(5(4) - 42)
3(20 - 42)
3(-22) = -66
Answer:
-66
Step-by-step explanation:
3(5×4-42)
(5×4)=20
3(20-42)
(20-42)=22
3(22)=66
so it's -66
4x – 3 = 2x +9
solve for x
Answer:
6
Step-by-step explanation:
Add three to both sides
Subtract 2x from both sides
2x=12
Divide by 2
X=6
Answer:
x = 6
Step-by-step explanation:
4x - 3 = 2x + 9
2x = 12
x = 6
What value for x will make the equation −3x+1=2(4x−5)true?
please help me i have no i dea
Step-by-step explanation:
144° + m5 = 180°
m5 = 180° - 144°
m5 = 36°
m5 + 56° + m4 = 180°
m4 = 180° - 56° - 36°
m4 = 88°
m3 + 56° = 180°
m3 = 180° - 56°
m3 = 124°
since the 2 horizontal lines are parallel:
m1 = m5 = 36°
m2 = 56°
Find the value of x
Look at the picture^^
Answer with work please I need help???
Don’t mind the work in the box I didnt have space on the other question.
Answer:
9.3 units
Step-by-step explanation:
By Pythagoras Theorem:
\( {x}^{2} + {(18 - 5)}^{2} = {16}^{2} \\ \\ {x}^{2} + {13}^{2} = {16}^{2} \\ \\ {x}^{2} + 169 = 256 \\ \\ {x}^{2} = 256 - 169 \\ \\ {x}^{2} = 87 \\ \\ x = \sqrt{87} \\ \\ x = 9.32737905 \\ \\ x \approx9.3\)
Step 1: -10 + 8x < 6x - 4
Step 2: -10 < -2x - 4
Step 3: -6 <-2x
Step 4:
What is the final step in solving the inequality -2(5-
4x) < 6x - 4?
0x<-3
X > -3
0x<3
x > 3
Answer:
Step-by-step explanation:divide both sides by the coefficient of x that is the number beside x and in inequality, when dividing with a negative sign the sign would change to its opposite sign.
-6<-2x
-6/-2>-2x/-2
3>x
X<3 this is the answer.
Sadie uses 9.8 pints of blue paint and white paint to paint her bedroom walls. 1 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answer:
7.35 pints
Step-by-step explanation:
If we use 1/4 of the 9.8 pints for blue, then the remaining white paint takes up 3/4 of the 9.8 pints of paint. To find how many pints of paint is equal to 3/4 of it, you must multiply that fraction by the amount (9.8).
\(\frac{3}{4}\) * 9.8 (or 0.75 * 9.8) = 7.35
Therefore, 7.35 pints of the total paint used is white.
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Which statement best explains whether the equation y = 2x − 4 represents a linear or nonlinear function?
The equation represents a linear function because it has an independent and a dependent variable, each with an exponent of 1.
The equation represents a linear function because its graph contains the points (0, 2), (2, 3), and (4, 4), which are on a straight line.
The equation represents a nonlinear function because it has an independent and a dependent variable, each with an exponent of 1.
The equation represents a nonlinear function because its graph contains the points (0, 2), (2, 3), and (4, 4), which are not on a straight line.
Answer: The equation represents a linear function because it has an independent and a dependent variable, each with an exponent of 1.
Step-by-step explanation:
The equation y = 2x - 4 is written in slope intercept form. y is dependent on the x.
Answer:
Step-by-step explanation:
answer A
If h (x)=√49-x², find h (0), h (-7) and h (9).
Answer:
Step-by-step explanation:
f(0) = √49 - x^2
f(0) means that wherever you see an x on the right, you put a zero.
so f(0) = √49 - 0^2
f(0) = √49
f(0) = 7
f(-7) = √49 - x^2
Again the meaning is that where you see an x on the right, you substitute - 7 for that x.
f(-7) = √49 - (-7)^2
f(-7) = 7 - 49
f(-7) = - 42
f(9) = √49 - (9)^2
f(9) = 7 - 81
f(9) = - 74
Which of the following best describes ZAOR?
R
142⁰
A
A major arc is an arc that is greater than 180 degrees.
A minor arc is an arc less than 180 degrees.
An acute angle is an angle less than 90 degrees.
What is the central angle?
A central angle is an angle created in the center of a circle with 2 sides being the radius.
Thus, we can see in the figure that we are talking about the angle so we can eliminate the major arc and minor arc.
Now, we clearly see that the angle is greater than 90 degrees so it cannot be an acute angle.
The correct answer is the central angle as it goes with the definition.
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Which expression is equivalent to (5x^3)^2
Answer:
25x^6
Step-by-step explanation:
:)
Which pair of numbers has a sum of 100?
A 62,48
B 52, 58
C 42, 58
D 42, 48
research topic 'the differential effect of inductive
instructions and deductive instructions'
The differential effect of inductive instructions and deductive instructions refers to the impact that these two types of instructional approaches have on learning and problem-solving abilities.
How to explain the informationInductive instructions involve presenting specific examples or cases and then drawing general conclusions or principles from them. This approach encourages learners to identify patterns, make generalizations, and develop hypotheses based on the observed data. Inductive reasoning moves from specific instances to a broader understanding of concepts or principles.
On the other hand, deductive instructions involve presenting general principles or rules first and then applying them to specific examples or cases. This approach emphasizes logical reasoning, where learners are guided to apply established rules to solve problems or make conclusions based on given premises. Deductive reasoning moves from a general understanding of concepts or principles to specific instances.
The differential effect of these two instructional approaches can vary depending on various factors, such as the learner's prior knowledge, cognitive abilities, and the nature of the task or subject matter.
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Quadrilateral ABCD is similar to quadrilateral A'B'C'D'. Write a proportion that would have to be true, involving the side lengths of the quadrilaterals
(Hint: use the / key to get fractions!)
The true proportion of the side lengths of the quadrilaterals is A'B'/AB
How to determine the true proportion of the quadrilaterals?From the question, we have the following parameters that can be used in our computation:
Quadrilaterals ABCD and A'B'C'D
These quadrilaterals are similar
So, it means that the corresponding side lengths are proportional
So. we have
Side length = AB
Corresponding side length = A'B'
The true proportion is then represented as
k = Corresponding side length/Side length
Substitute the known values in the above equation, so, we have the following representation
k = A'B'/AB
Hence, the proportion is A'B'/AB
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A manufacturer of compact fluorescent light bulbs advertises that the distribution of the lifespans of these light bulbs is nearly normal with a mean of 9,000 hours and a standard deviation of 1,000 hours.
(a) What is the probability that a randomly chosen light bulb lasts more than 10,500 hours?
(b) Describe the distribution of the mean lifespan of 15 light bulbs.
(c) What is the probability that the mean lifespan of 15 randomly chosen light bulbs is more than 10,500 hours?
(d) Sketch the two distributions (population and sampling) on the same scale.
(e) Could you estimate the probabilities from parts (a) and (c) if the lifespans of light bulbs had a skewed distribution?
A manufacturer of compact fluorescent light bulbs advertises have a standard deviation of 1,000 hours so the values are:
A normal distribution with,
μ = 9000
σ = 1000
a) The standardized score is the value x decreased by the mean and then divided by the standard deviation.
x = 105000 - 9000 / 1000 ≈ 1.50
Determine the corresponding probability using the normal probability table in appendix,
P(X>10500) = P(Z>1.50) = 1 - P(Z<1.50)
= 1 - 0.9332 = 0.0668.
b) n = 15
The sampling distribution of the mean weight is approximately normal, because the population distribution is approximately normal.
The sampling distribution of the sample mean has mean μ and standard deviation σ/√n
μ = 1000/√15 = 258.19
c) The sampling distribution of the sample mean has mean μ and standard deviation σ/√n
The z-value is the sample mean decreased by the population mean, divided by the standard deviation:
z = x-u/σ/√n = 10500-9000/1000√15 = 5.81
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Sofia has planted a total of 40 plants in her new garden. 18 of these are pink geraniums. What percentage of the plants are pink geraniums?
Answer:
45%
Step-by-step explanation:
18 divided 40 =
18/40 =
9/20 = .45
.45 <- move the decimal to 2 spaces to the right =
45%
A deposit of $10,000 now at a nominal interest rate of 10% per year will accumulate in 20 years to an amount equal to:
a. $51,900
b. $54,600
c. $61,500
d. $67,280