Answer:
yes
Step-by-step explanation:
26
24
10
HELP PLSSsSs
Answer:
what is the question? all I see is a drawing w labels
Using control charts, define five situations in which a process
is out of control and how it is recognizable on a control
chart.
Control charts are used to monitor and identify when a process is out of control. There are several situations that indicate an out-of-control process, and these can be recognized on a control chart. Here are five such situations:
A point falls outside the control limits: If a data point falls above the upper control limit or below the lower control limit, it indicates that the process is out of control. This suggests that there may be a significant change or variation in the process.
Nonrandom patterns: Nonrandom patterns in the data points on a control chart, such as a consistent upward or downward trend, cycles, or oscillations, suggest that the process is not stable. These patterns indicate the presence of special causes of variation.
Runs and streaks: A run or streak refers to a series of consecutive data points that are either above or below the central line on the control chart. Runs or streaks suggest a lack of randomness and indicate that the process is not in control.
Lack of points within control limits: If there are long stretches of data points that are consistently clustered near one control limit or the central line without points within the control limits, it suggests that the process is not stable and may be exhibiting a systematic bias or shift.
Excessive variation: If there is excessive variation in the data points on the control chart, indicated by a wide spread of points around the central line, it suggests that the process is not under control. This can be recognized when the data points exceed the expected range of variation. These situations provide clear indications that a process is out of control and requires investigation and corrective actions to address the underlying causes of the variations. Control charts help in quickly identifying these situations and facilitating timely interventions to maintain process stability and quality.
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Trapezoid FGHJ has vertices at F(2.-3), G(2, 4), H(6,4), and J19, -3). What is the
area of the trapezoid? Show your work.
Answer:
38.5
Step-by-step explanation:
The area of the trapezoid FGHJ is 33 square units.
Given that, trapezoid FGHJ has vertices at F(2.-3), G(2, 4), H(6,4), and J(19, -3).
We need to find the area of the trapezoid.
What is the formula to find the area of trapezium?The area of a trapezium is defined as the number of unit squares that can fit into it and it is measured in square units (like cm², m², in², etc). A trapezium is a type of quadrilateral that has one pair of parallel sides(generally referred to as bases). The other pair of sides of a trapezium can be non-parallel and are known as legs. The area of a trapezium is the total space covered by a trapezium in a two-dimensional plane.
The area of a trapezium =1/2 (a+b)×h square units.
Now, area=1/2 (4+17)×6=33 square units
Therefore, the area of the trapezoid FGHJ is 33 square units.
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The ratio of collectible stamps Georgia owns to stamps that Julie owns is 2:1. Julie has 64 stamps. How will the ratio of Georgia’s stamps to Julie’s stamps change if they both sell half of their stamps? Explain.
Answer:
Step-by-step explanation:
As both are selling half of their stamps, the ratio won't change. It will be same:
Reason:
Georgia : Julie = 2 : 1
Let total stamps = x
Part of stamps that Georgia has = 2/3 of x
Part of stamps that Julie has = 1/3 of x
\(\frac{1}{3}x=64\\\\x = 64*3\\\\x= 192\)
Total stamps = 192
Stamps with Georgia = 192 - 64 = 128
After selling half of his stamp, Georgia has = 128÷2 = 64
After selling half of her stamp, Julie has = 64 ÷ 2 = 32
Ratio of stamps after selling half of their stamps = 64 : 32
= 2 : 1
The ratio of collectible rocks Juanita owns to rocks that Aisling owns is 3:1. Aisling has 32 rocks. How will the ratio of Juanita’s rocks to Aisling’s rocks change if they both sell one fourth of their rocks? Explain.
Juanita : Aisling = 3 : 1
Let total rocks = x
Part of rocks that Juanita has = 3/4 of x
Part of rocks that Aisling has = 1/4 of x
\(\frac{1}{4}x=32\\\\x = 32*4\\\\x= 128\)
Total rocks = 128
Rocks with Juanita = 128 - 32 = 96
After selling one fourth of his rock, Aisling has = 32 ÷ 4 = 8
After selling half of her rock, Juanita has = 96 ÷ 4 = 24
Ratio of rocks after selling one fourth of their rocks =24 : 8
= 3 : 1
Help pls it graphing inequalities
Answer:
I can't see it clearly but I can explain to you how to graph it on a number line :)
Step-by-step explanation:
Imagine the sign pooping the other way. Like > ___ The sign is pooping a LINE where the shorter angle is. So if the inequality was x>3 , You would put a dot on the 3 and do a line going right. Now to figure out if the dot is open or closed, it depends on the sign. If the sign is open, the sign is either > or <. If it is closed, the sign is either ≥ or ≤.
Luis has a pyramid shaped plant pot. It has a square base with a side length of
36
cm
36 cm36, start text, space, c, m, end text, and the height of the pot is
36
cm
36 cm36, start text, space, c, m, end text.
36
cm
36 cm
36
cm
36 cm
Luis wants to fill the pot with soil so that the soil takes up
75
%
75%75, percent of the pot's volume.
How far up the pot will the soil reach?
Round to the nearest tenth.
Answer:
The soil will occupy in 11664cm³ of the pot which is 3/4 or 0.75 of the squared based pyramid pot.
Step-by-step explanation:
The volume of a square based pyramid = V = a²h/3
a = base edge or side length = 36cm
h = height = 36cm
V = 36² × 36/3
V = 15552cm³
Luis wants to fill the pot with soil so that the soil takes up 75 % the pot's volume.
75% of the pot's volume =
75/100 × 15552cm³
= 11664cm³
The soil will occupy 11664cm³ of the pot which is 3/4 or 0.75 of the squared based pyramid pot.
Answer:
The soil will reach about 32.7 cm up the pot.
Step-by-step explanation:
Cause I took a test
Of the last 12 contestants on a game show, 3 qualified for the bonus round. what is the experimental probability that the next contestant will qualify for the bonus round?
The experimental probability of the next contestant qualifying for the bonus round is 1/4 or 25%.
To determine the experimental probability, we need to examine the number of favorable outcomes (contestants qualifying for the bonus round) and the total number of outcomes (contestants in the sample). In this case, out of the last 12 contestants, 3 qualified for the bonus round.
To calculate the experimental probability, we divide the number of favorable outcomes (3) by the total number of outcomes (12):
Experimental Probability = Number of Favorable Outcomes / Total Number of Outcomes
Experimental Probability = 3/12 = 1/4 = 25%
Therefore, based on the available data, the experimental probability suggests that there is a 25% chance that the next contestant will qualify for the bonus round.
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-3x + 8 + 15 if x = -2
Answer:
29
Step-by-step explanation:
-3x+8+15 .substitute
-3(-2)+8+15 combine like terms
6+23 add
29
A mathematical combination of numbers and letters that result in the desired answer is called a:_________
A mathematical combination of numbers and letters that result in the desired answer is called an algebraic expression.
Expression:
An expression contains minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.
Given:
A mathematical combination of numbers and letters that result in the desired answer is called.
Here we need to find the term that is suitable for this definition.
Here the answer is algebraic expression.
Basically, the algebraic expression is the combinations of variables , numbers, and at least one arithmetic operation.
For example,
2x + 3y = 5
Where
x and y are variables
2,3 are coefficients of ax and y
5 is the constant
+ and = are the arithmetic operators.
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suppose that the antenna lengths of woodlice are approximately normally distributed with a mean of inches and a standard deviation of inches. what proportion of woodlice have antenna lengths that are more than inches? round your answer to at least four decimal places.
Proportion = 0.2119
P (X is less than or equal to 0.18) = P [(X-μ)/ sigma is less than or equal to (0.18-0.22)/ 0.05] = P(Z is less than or equal to -0.80). Using z-table proportion = 0.2119
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Find the exact x-coordinate of the point on the curve parametrized by {x = t^2 + 1, y = t^2 - t where the tangent line has slope 27. Give an exact answer, do not use a decimal.
The exact x-coordinate of the point is frac{1163}{291}6
The curve is given by {x = t² + 1, y = t² - t}.
Let's find dy/dx in terms of t as follows:
frac{dy}{dx} = frac{dy/dt}{dx/dt} = frac{(2t - 1)}{(2t)} = 1 - frac{1}{2t}
Therefore, when dy/dx = 27, we have:
1 - frac{1}{2t} = 27
Rightarrow 2t - 1 = frac{2}{27}
Rightarrow t = frac{29}{54}
The x-coordinate is given by x = t² + 1, therefore, we have:
x = left(frac{29}{54}right)^2 + 1
= frac{1163}{2916}
Hence, the exact x-coordinate of the point on the curve where the tangent line has slope 27 is frac{1163}{291}6
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Solve the following trigonometric equations in the interval [0,21).
7. Solve the following trigonometric equations in the interval (0.28). a) sin(x) + cos*(x) – 1 = c(*) b) sin(x) + V2 = -sin(x) c) 3tan*(x) - 1 - 0 ) sin(x) cos(x) - cox(x) - 2 cot(x) tan(x) + sin(x)
The solutions in the interval [0,2π) are x = 0, π, and arctan(2/3).This gives us sin(x) + (1 - sin^2(x)) - 1 = c(*).
To solve the equation sin(x) + cos*(x) - 1 = c(), we can simplify it by rewriting cos(x) as 1 - sin^2(x), using the Pythagorean identity.
This gives us sin(x) + (1 - sin^2(x)) - 1 = c(*).
Simplifying further, we have -sin^2(x) + sin(x) = 0.
Factoring out sin(x), we get sin(x)(-sin(x) + 1) = 0.
This equation is satisfied when sin(x) = 0 or -sin(x) + 1 = 0.
In the interval [0,2π), sin(x) = 0 at x = 0, π, and 2π. For -sin(x) + 1 = 0, we have sin(x) = 1, which occurs at x = π/2.
Therefore, the solutions in the given interval are x = 0, π/2, and 2π.
The equation sin(x) + V2 = -sin(x) can be simplified by combining like terms, resulting in 2sin(x) + V2 = 0.
Dividing both sides by 2, we have sin(x) = -V2. In the interval [0,2π), sin(x) is negative in the third and fourth quadrants.
Taking the inverse sine of -V2, we find that the principal solution is x = 7π/4. However, since we are restricting the interval to [0,2π), the solution is x = 7π/4 - 2π = 3π/4.
The equation 3tan*(x) - 1 - 0 ) sin(x) cos(x) - cox(x) - 2 cot(x) tan(x) + sin(x) can be simplified using trigonometric identities. Rearranging the terms, we have 3tan^2(x) - sin(x) + cos(x) - 2cot(x)tan(x) + sin(x)cos(x) = 1.
Simplifying further, we get 3tan^2(x) - 2tan(x) + 1 = 1.This equation reduces to 3tan^2(x) - 2tan(x) = 0. Factoring out tan(x), we have tan(x)(3tan(x) - 2) = 0. This equation is satisfied when tan(x) = 0 or 3tan(x) - 2 = 0.
In the given interval, tan(x) = 0 at x = 0 and π. Solving 3tan(x) - 2 = 0, we find tan(x) = 2/3, which occurs at x = arctan(2/3). Therefore, the solutions in the interval [0,2π) are x = 0, π, and arctan(2/3).
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$475 20 for 6 years at 6-% $787 for 3 years at 9% $131 70 for 6 yrs 8 months at 4-%
The simple interest on the principal amount are:
1. $17107.20
2. $212.49
3. $3512
How to calculate the simple interest?Simple interest can be calculated using the formula:
I = PRT
where P is the principal amount, R is the interest rate in percentage and T is the time in years
1. We have:
P = $47520
T = 6 years
R = 6% = 0.06
I = 47520 * 6 * 0.06
I = $17107.20
2. We have:
P = $787
T = 3 years
R = 9% = 0.09
I = 787 * 3 * 0.09
I = $212.49
3. We have:
P = $13170
T = 6 years 8 months = 6\(\frac{2}{3}\) years
R = 4% = 0.04
I = 13170 * 6\(\frac{2}{3}\) * 0.04
I = $3512
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In figure, the side QR of ∆PQR is produced to a point S. If the bisectors of ∠PQR and ∠PRS meet at point T, then prove that ∠QTR= ½ QPR
Step-by-step explanation:
Mark her brainliest dude!!!!
Can someone help me out with these questions ?
Answer:
See attached image
Step-by-step explanation:
Solve the inequality x + < 7. Which number line represents the solution?
The solution of the inequality x + 3 < 7 is x < 4.
Consider the inequality,
x + 3 < 7
Subtracting 3 from each side of the equation,
x + 3 - 3 < 7 - 3
x < 4
In order to represent x < 4 on a number line, we will follow the steps given below.
Step 1: Mark zero on a number line, then mark equal distances to the right and left.
Step 2: In the given inequality x < 4, the value of x is less than 4. So, we need to move to the left of 4.
Step 3: Mark a black empty circle on 4 and shade the line from 4 towards the left side until the arrow. The circle at point 4 will be left empty because a blank circle shows that 4 is not included. This means that x is less than 5 and not equal to 4.
Hence we get the required number line.
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Please help!!! 10 points
The solution is, Options 1, 3, and, 5 are true.
The statements given are,
1.) The product of reciprocals is 1.
Let the fraction be a/b , and reciprocal be b/a ,
The product of the two will be 1.
Hence, the statement is true.
2.) To divide fractions, multiply the divisor by the reciprocal of the dividend.
Let the fraction be a/b , now,
a/b*1/a = a^2/b,
Hence, the statement is false.
3.) The reciprocal of a whole number is 1 over the number.
Let the number be 3, now,
The reciprocal of number 3 is 1/3 .
Hence, the statement is true.
4.) Reciprocals are used to multiply fractions.
The statement is false, Reciprocals are not used to multiply fractions.
5.) To find the reciprocal of a fraction, switch the numerator and denominator.
Let the fraction be a/b , then the reciprocal will be b/a .
Hence, the statement is true.
Therefore, Options 1, 3, and, 5 are true.
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complete question:
Select all that apply. Determine which of the following statements are true of reciprocals. Select all that apply. The product of reciprocals is 1 To divide fractions, multiply the divisor by the reciprocal of the dividend The reciprocal of a whole number is 1 over the number Reciprocals are used to multiply fractions To find the reciprocal of a fraction, switch the numerator and denominator
Find the product of 32 and 46. Now reverse the digits and find the product of 23 and 64. The products are the same!
Does this happen with any pair of two-digit numbers? Find two other pairs of two-digit numbers that have this property.
Is there a way to tell (without doing the arithmetic) if a given pair of two-digit numbers will have this property?
Let's calculate the products and check if they indeed have the same value:
Product of 32 and 46:
32 * 46 = 1,472
Reverse the digits of 23 and 64:
23 * 64 = 1,472
As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.
To find two other pairs of two-digit numbers that have this property, we can explore a few examples:
Product of 13 and 62:
13 * 62 = 806
Reversed digits: 31 * 26 = 806
Product of 17 and 83:
17 * 83 = 1,411
Reversed digits: 71 * 38 = 1,411
As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.
For example, let's consider the pair 25 and 79:
A = 2, B = 5, C = 7, D = 9
The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.
Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.
PLEASE HELP I'LL GIVE YOU 15 POINTS
Answer:
I cant see whats on the page
Step-by-step explanation:
Move the numbers to the blanks to solve the problem
6 divided by 1/3
A carton of apple juice displays the nutritional information shown below.
How many grams of sugar are there in a 200 ml glass of juice?
< Back to task
Bookwork
I
Apple juice
250 ml contains
Carbohydrate
Sugar
Protein
1
29.5 g
25.5 g
| 0.3 g
Watch video
Answer >
Answer:
Step-by-step explanation:
200/250 =0.8
25.5x0.8 =20.4
answer=20.4
What is superposition principle explain with example?
The superposition is the imposing of one wave on the other and resulting in the change of the amplitude of the final wave.
When two or more waves travel through the same space in superposition, their combined amplitudes equal the amplitudes they would have produced individually. For instance, two waves moving in the same direction will pass through each other without causing any distortion on the other side.
The pattern you see when shining light through two slits, the sounds you hear in acoustically sound rooms and music halls, the interference radios receive when moved close to other electronic devices, and any tone produced by a musical instrument are all examples of the superposition principle in action.
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If \( f(x, y)=e^{3 x} \sin (4 y) \) then: \[ \nabla f(-1,-3)= \]
The gradient of the function \(\(f\)\) at the point \(\((-1, -3)\)\) is:
\(\[\nabla f(-1, -3) = \left(-3e^{-3} \sin(12), 4e^{-3} \cos(12)\right)\]\)
To find the gradient of the function \(\( f(x, y) = e^{3x} \sin(4y) \)\) at the point \(\((-1, -3)\)\), we need to compute the partial derivatives with respect to \(\(x\) and \(y\)\) and evaluate them at that point.
The gradient of a function is given by:
\(\[\nabla f(x, y) = \left(\frac{{\partial f}}{{\partial x}}, \frac{{\partial f}}{{\partial y}}\right)\]\)
Let's calculate the partial derivatives:
\(\[\frac{{\partial f}}{{\partial x}} = \frac{{\partial}}{{\partial x}}\left(e^{3x} \sin(4y)\right) = 3e^{3x} \sin(4y)\]\)
\(\[\frac{{\partial f}}{{\partial y}} = \frac{{\partial}}{{\partial y}}\left(e^{3x} \sin(4y)\right) = 4e^{3x} \cos(4y)\]\)
Now, we can evaluate these derivatives at the point \(\((-1, -3)\):\)
\(\[\frac{{\partial f}}{{\partial x}}\Bigr|_{(-1, -3)} = 3e^{3(-1)} \sin(4(-3)) = 3e^{-3} \sin(-12)\]\)
\(\[\frac{{\partial f}}{{\partial y}}\Bigr|_{(-1, -3)} = 4e^{3(-1)} \cos(4(-3)) = 4e^{-3} \cos(-12)\]\)
Simplifying further:
\(\[\frac{{\partial f}}{{\partial x}}\Bigr|_{(-1, -3)} = 3e^{-3} \sin(-12) = -3e^{-3} \sin(12)\]\)
\(\[\frac{{\partial f}}{{\partial y}}\Bigr|_{(-1, -3)} = 4e^{-3} \cos(-12) = 4e^{-3} \cos(12)\]\)
Therefore, the gradient of the function \(\(f\)\) at the point \(\((-1, -3)\)\) is:
\(\[\nabla f(-1, -3) = \left(-3e^{-3} \sin(12), 4e^{-3} \cos(12)\right)\]\)
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A graph titled Test Questions has four-point questions on the x-axis and two-point questions on the y-axis. 2 lines intersect at (8, 34).
How many of each type of question are on the test?
2 four-point questions and 40 two-point questions
8 four-point questions and 34 two-point questions
34 four-point questions and 8 two-point questions
40 four-point questions and 5 two-point questions
Answer:
8 four-point questions and 34 two-point questions
Step-by-step explanation:
got the question right
Answer:
8 four-point questions and 34 two-point questions
Step-by-step explanation:
right on edge
Please Help! I'm very stuck on this last question that I'm on, dose anyone mind if they could help me out please?
1. None of these
---We cannot classify angles which are not on parallel lines intersected by a transversal.
2. Alternate interior angles
---These angles are on the inside of the parallel lines (interior) and on opposite (alternate) sides of the transversal.
3. Corresponding Angles
---These angles are in the same relative position. This makes them corresponding angles.
4. Alternate Exterior Angles
---These angles are on opposite (alternate) sides of the transversal and outside (external) of the parallel lines.
5. Corresponding Angles
---These angles are in the same relative position, which makes them corresponding.
Hope this helps!
De’Andre is determining the volume of the triangular prism below. Which expression will give him the correct value of B, the area of the base?
Answer:
the other person is incorrect it is 3 x 3 / 2
Step-by-step explanation:
this is my question
The volume of the given triangular prism is 31.4937 cubic inches
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
From the given triangular prism
Base side a =3 in
Base side b=3 in
Base side c=4.2
height h=7 in
The formula to find the volume of triangular prism
Volume = 1/4h√-a⁴+2(ab)²+2(ac)²-b⁴+2(bc)²-c₄
Substituting the values in the formula we get
Volume =31.4937
Hence, the volume of the given triangular prism is 31.4937 cubic inches
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A bicycle manufacturer is studying the reliability of one of its models. The study finds that the probability of a brake defect is 4 percent and the probability of both a brake defect and a chain defect is 1 percent. If the probability of a defect with the brakes or the chain is 6 percent, what is the probability of a chain defect? 1. 5 percent 2 percent 2. 5 percent 3 percent.
The bicycle manufacturer is studying the reliability of its models and analyzing the probability of defects. They found the probability of a brake defect is 4 percent and the probability of both brake and chain defects is 1 percent.
Given that the probability of a defect with brakes or chain is 6 percent, we can find the probability of a chain defect using the formula: P(A and B) = P(A|B) * P(B), where P(A and B) is the probability of both events A and B occurring, P(A|B) is the probability of event A occurring given that event B has occurred, and P(B) is the probability of event B occurring.
In this case, we want to find the probability of a chain defect given that there is a defect with either the brakes or the chain. Let's use the events: A = brake defect, B = chain defect, From the problem statement, we know that: P(A) = 0.04 (probability of a brake defect), P(A and B) = 0.01 (probability of both a brake defect and a chain defect)
P(A or B) = 0.06 (probability of a defect with the brakes or the chain).
To find P(B|A or B), we can use the formula: P(B|A or B) = P(A and B) / P(A or B) = 0.01 / 0.06, = 1/6, = 0.1667, So the probability of a chain defect given that there is a defect with either the brakes or the chain is 16.67%, or approximately 2/12 or 1/6.
Therefore, the correct answer is option 2: 2%, Solving for the probability of a chain defect, we get: P(chain defect) = 0.06 - 0.04 + 0.01 = 0.03, So, the probability of a chain defect is 3 percent.
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Jonas jogged up the hill at an average rate of of a mile per minute and then walked down the hill at an average rate of StartFraction 1 Over 16 EndFraction left-parenthesis 42 minus x right-parenthesis. Of a mile per minute. The round trip took him 42 minutes. What is the missing value in the table that represents the distance of the trip down the hill? A table showing Rate in miles per minute, Time in minutes, and Distance in miles. The first row has Up the Hill, and has StartFraction 1 Over 12, x, and StartFraction 1 Over 12 x. The second shows, Down the Hill, and has StartFraction 1 Over 16 EndFraction, 42 minus x, and question mark. X StartFraction 1 Over 16 EndFraction minus x. – x 42 – 42 minus StartFraction 1 Over 16 EndFraction x. X StartFraction 1 Over 16 EndFraction left-parenthesis 42 minus x right-parenthesis. (42 – x).
The missing value in the table that represents the distance of the trip down the hill is (42 - x) / 16.
Let's analyze the problem. The round trip consists of jogging up the hill and walking down the hill. The time it takes to jog up the hill is distance / rate, which is (1 / 12) miles per minute. The time it takes to walk down the hill is distance / rate, which is (1 / 16) miles per minute. Given that the round trip took 42 minutes, we can set up the equation:
(1 / 12) + (1 / 16) = 42
Solving this equation, we find x = 30. Therefore, the distance of the trip down the hill is (42 - 30) / 16, which simplifies to 12 / 16 or 3 / 4 miles.
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The additive inverse of (-2x + 4) is __________.
choices:
1. -2x + 4
2. 4x + 2
3. (-2x – 4)
4. (2x – 4)
Answer:
2x - 4
Step-by-step explanation:
Additive inverse of -2x + 4 = 2x - 4
To find the additive inverse, change the sign of each term
Can someone help me with the questions in the picture?
Answer:
\( y = 8 \)
Step-by-step explanation:
Equation of the line that passes through (-2, 8) with a slope of 0, can be written in point-slope form, \( y - y_1 = m(x - x_1) \) and also in slope-intercept form, \( y = mx + b \).
Using a point, (-2, 8) and the slope (m), 0, substitute x1 = -2, y1 = 8 and m = 0 in \( y - y_1 = m(x - x_1) \).
Thus:
\( y - 8 = 0(x - (-2)) \)
\( y - 8 = 0 \)
Rewrite in slope-intercept form
\( y - 8 + 8 = 0 + 8 \) (addition property of equality)
\( y = 8 \)