Help
1. 4 < 7 Multiply both sides by 3, then by 2, then by 4, then by 9
2. 11 > -2 Add 3 to both sides, then add 3, then add (-4)
3. -2 \leq -2 Subtract 6 from both sides, then 8, and then 2
4. -4 < 8 Divide both sides by -4, then by -2
5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?
The short explanation of the effects of the above operations will not affect the inequality.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
1. 4 < 7 Multiply both sides by 3, then by 2, then by 4, then by 9, then we have
4 x 3 x 2 x 4 x 9 < 7 x 3 x 2 x 4 x 9
864 < 1512
2. 11 > -2 Add 3 to both sides, then add 3, then add (-4)
11 + 3 + (-4) > - 2 + 3 + (-4)
10 > - 3
3. -2 ≤ -2 Subtract 6 from both sides, then 8, and then 2
-2 - 6 - 8 - 2 ≤ -2 - 6 - 8 - 2
- 18 ≤ - 18
4. -4 < 8 Divide both sides by -4, then by -2
- 4 / (-4) > 8 / (-4)
1 / (-2) > - 2 / (-2)
- 1/2 < 1
The short explanation of the effects of the above operations will not affect the inequality.
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ESSENTIAL QUESTION CHECK-IN
17. Tell how you can determine whether a number is a solution of an
equation.
324 Unit 4
Answer:
Step-by-step explanation:
1. Substitute the number for the variable in the equation.
Owen is designing a rectangular garden whose length is 25 feet he needs to put fencing all around the exterior of the garden and wants to use less than 8 feet of fencing
Answer:
To enclose the rectangular garden, Owen will need to put fencing along the length of the garden, which is 25 feet, and along the width of the garden. He wants to use less than 8 feet of fencing, so the width of the garden must be less than 8 feet.
The total amount of fencing needed will be equal to the length of the garden plus the width of the garden, multiplied by 2 (since there are two sides to the garden for each of the length and width).
For example, if the width of the garden is 5 feet, the total amount of fencing needed will be 25 + 5 + 25 + 5 = 60 feet, which is less than 8 feet.
So, the width of the garden can be any value less than 8 feet.
Step-by-step explanation:
Can someone please help me with math.
Answer:
A. 85
Step-by-step explanation:
They are congruent angles, or the same.
Therefore, the answer is 85
Find the polynomial of least degree to be added to 6x^2+8x^3+17x^2+12x+7 so that 3x^2+4x+1 is a factor. Class ten questions
The difference of 5 times a number and 3 times that same number is 16.
Which of the following is the equation of the statement above?
5x - 3x = 16
5x + 3x = 16
5x - 3 = 16
5 - 3x = 16
Answer:
5x - 3x = 16
Step-by-step explanation:
take two identical 30°-60°-90° set squares and form a parellelogram as before. Does this figure obtained help you to confirm the above property?
Two identical set squares with angles 30-60-90 degree Placed adjacently to form a parallelogram
What are the properties of the graph of a function?
The properties of the graph of a function include domain, range, symmetry, asymptotes, intercepts, increasing or decreasing, continuity, smoothness, behaviour at infinity and shape.
1) Domain: The set of all input values (x-values) that produce a valid output (y-value) for the function.
2) Range: The set of all output values (y-values) that can be produced by the function for any valid input value in the domain.
3) Symmetry: A graph may be symmetric with respect to the x-axis, y-axis, or origin.
4) Asymptotes: A line that the graph of a function gets arbitrarily close to, but never touches.
5) Intercepts: The points where the graph of a function crosses the x- and y-axes.
6) Increasing or Decreasing: A function can be increasing over a certain interval, decreasing over a certain interval, or both.
7) Continuity: A function is continuous if its graph has no breaks or gaps.
8) Smoothness: A function is smooth if its graph has no sharp corners or links.
9) Behavior at Infinity: The behavior of a function at positive or negative infinity can be determined by analyzing the degree and leading coefficient of its equation.
10) Shape: The shape of a graph can be used to classify functions as linear, quadratic, exponential, logarithmic, etc.
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A ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building.
A right triangle with side length 6 feet, hypotenuse 14 feet, and side h.
In feet, how high up the side of the building is the top of the ladder? Round to the nearest tenth of a foot.
12.65
Answer:
12.6 ft
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
let h be height up the side of the building , then
h² + 6² = 14²
h² + 36 = 196 ( subtract 36 from both sides )
h² = 160 ( take the square root of both sides )
h = [tex]\sqrt{160}[/tex] ≈ 12.6 ft ( to the nearest tenth )
ORIGINAL ANSWERS PLEASE
If the line of best fit is y = 1.18x + 5.4, what is the residual value for the coordinate (2, 8)?
0.24
−0.24
0.46
−0.46
The residual value of coordinate is 0.24.
what is residual?A residual is the discrepancy between a data point's actual value and the value predicted by a regression or trend line.
Trend lines provide the approximate shape of the data and display the general shape the data takes. The most precise trend lines are those that best suit the data.
Given equation y = 1.18x + 5.4
and coordinates (2, 8)
y at x = 2
y = 1.18x + 5.4
y = 1.18(2) + 5.4
y = 7.76
residual value = actual y axis value - predicted y axis value
residual value = 8 - 7.76 = 0.24
Hence the residual value is 0.24.
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Jen can bike 12 miles in 40 minutes how much time will she need to bike 30 miles if her speed remains the same
Please help I will mark brainliest
Answer:
100 minutes / [tex]1 \frac{2}{3}[/tex] hours
First, we need to do 40 ÷ 12 = 3 1/3
Next, multiply 3 1/3 by 30 = 100
So, it is 100 minutes. But wait! We can simply it...
100 minutes = 1 2/3 hours
You can always convert it into different time labels. I think this is the most popular.
What is an equation of the line that passes through the points (-4, -1) and (6, -1)
Answer:
y = -1
Step-by-step explanation:
In a sense this is a trick question. Notice that the y-coordinates of these two points are the same: -1. That tells us that the line is a horizontal one with equation y = -1. Nothing further to do here.
5/6 long division from math
Answer: 0.8333
Step-by-step explanation:
Rose is fishing from a small boat. A fish swimming at the same depth as the hook at the end of her fishing line is 8 meters away from the hook.
The question is incomplete, as the depth of the hook isn't given in the question. However, using a proposed depth for the hook, we could give a stepwise solution to the exercise.
Answer:
Kindly check explanation
Step-by-step explanation:
If given a hook depth of 6 meters, and a distance of 8 m(fishing line from hook) at the the Same depth, then the distance between rose and the fish, x can be calculated, using the relation.
Hypotenus² = opposite² + adjacent²
(refer to attached picture)
x² = 6² + 8²
x² = 36 +. 64
x² = 100
x = sqrt(100)
x = 10 meters
You can use the actual depth value to obtain the actual solution to your question.
Triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these transformations, which statement is true?
<Z=<A
<B=<Y
<A=<X
<C=<Z
We know that a 90-degree clockwise rotation is the same as a 270-degree counterclockwise rotation, which means that the coordinates of each point in the original triangle BAC will be flipped across the x-axis, and then rotate 270 degrees.
We also know that a dilation at a scale factor of 2 means that the coordinates of each point are multiplied by 2.
Based on these transformations, the statement that is true is <C=<Z
In triangle BAC, point C has the same coordinates as point Z in triangle XYZ.
This because, the original point C is transformed by rotating 90 degrees counterclockwise and scaling by a factor of 2, This result in point C moving to the position of point Z.
The rest of the statements are not true based on this rotation and dilation because the coordinates of points A, B, and Y will be different from the original triangle BAC.
help me with this please
Answer:
1)
17/20 will have the same value as 1D.
To get this
given D=1
Substitute that into the equation..
you have
E=17/20
To verify this... input E=17/20 into the original equation to see if you will get 1D
17/20 =17/20D
Multiply through by 20/17
You'll have D=1.
So
17/20E will have the same value as 1U.S dollar.
2)
20/17US dollar will Equal 1E.
Solving arithmetically
Given E=1.
Find D subject
your have
D=20E/17
E=1
D=20/17
To verify this answer
substitute D=20/17 and see if you'll get 1E
E=17/20D
E=17/20 x 20/17
E=1.
Conclusion
20/17D will have the same value as 1E
Making
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 1995, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the calendar year in which the number of new cases would reach 887.
The linear regression equation that represents the given set of data is y=0.2x+865.
What is linear regression?Linear regression is a linear approach for modelling the relationship between a scalar response and one or more explanatory variables. The case of one explanatory variable is called simple linear regression; for more than one, the process is called multiple linear regression.
The line of best fit is in the form y=bx+a
The slope is b= [tex]\frac{\sum (x-\bar x)\sum (y-\bar y)}{\sum (x-\bar x)^2}[/tex]
Here, [tex]\bar x[/tex] =(0+1+2+3+4)/5
= 1.8
[tex]\bar y[/tex] = (856+871+924+961+961)/5
= 914.6
∑(x-[tex]\bar x[/tex])=(0-2.5)+(1-2.5)+(2-2.5)+(3-2.5)+(4-2.5)
= -2.5-1.5-0.5+0.5+1.5
= -2.5
∑(y- [tex]\bar y[/tex]) =(865-914.6)+(871-914.6)+(924-914.6)+(961-914.6)+(961-914.6)
= -49.6-43.6+9.4+46.4+46.4
= 9
So, slope b= 1.8×9/9²
b=0.2
Substitute b=0.2 and (0, 865) in y=bx+a, we get
865=0.2×0+a
a=865
Substitute b=0.2 and a=865 in y=bx+a, we get
y=0.2x+865
Therefore, the linear regression equation that represents the given set of data is y=0.2x+865.
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"Your question is incomplete, probably the complete question/missing part is:"
The number of newly reported crime cases in a county in New York State is shown in the accompanying table; where X represents the number of years since 1995, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest tenth. Using this equation, find the projected number of new cases for 2003, rounded to the nearest whole number: Years since 1995 (x) New Cases (y) 856 871 924 961 961
Portable telephones can
weigh as little as 8 ounces. How many
pounds is thiS
Between which two numbers does the square root of
131 lies?
Answer:
11 and 12
Step-by-step explanation:
this is because the square root of 121 is 11 and the square root of 144 is 12 so the answer will lie between 11 and 12
Jackie runs and dances for a total of 55 minutes every day. She dances for 25 minutes longer than she runs. Part A: Write a pair of linear equations to show the relationship between the number of minutes Jackie runs (x) and the number of minutes she dances (y) every day. (5 points) Part B: How much time does Jackie spend running every day
Jackie spends 15 minutes running every day.
Part A: The relationship between the number of minutes Jackie runs (x) and the number of minutes she dances (y) every day can be represented by the following pair of linear equations:
Equation 1: x + y = 55 (This equation represents the total amount of time Jackie spends running and dancing every day, which is 55 minutes)
Equation 2: y = x + 25 (This equation represents the relationship between the number of minutes Jackie runs and the number of minutes she dances, which is that she dances 25 minutes longer than she runs)
Part B: To find out how much time Jackie spends running every day, we can substitute the second equation into the first equation:
x + (x + 25) = 55
2x + 25 = 55
2x = 30
x = 15
Therefore, Jackie spends 15 minutes running every day.
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What is the mode? 22, 7, 22, 1, 7, 18, 18, 16, 6, 6, 7
Answer:
7
Step-by-step explanation:
Put them in L to G
1 6 6 7 7 7 16 18 18 22 22
and u see how many times 7 repeated den all numbers.
The mode is the [tex]MOST[/tex] [tex]FREQUENTLY[/tex]occurring value in a distribution, Hence, the mode of the data is [tex]7[/tex]
[tex]VALUES - - FREQUENCY\\22 - - - - - - - - - - - 2\\7 - - - - - - - - - - - - 3\\1 - - - - - - - - - - - - 1\\18 - - - - - - - - - - - 2\\16 - - - - - - - - - - - 1\\6 - - - - - - - - - - - - 2\\\\HENCE,[/tex]
The value 22 has a frequency of 2 The value 7 has a frequency of 3 The value 1 has a frequency of 1 18 has a frequency of 2 16 has a frequency of 1 6 has a frequency of 2The [tex]MODE[/tex] of the distribution is [tex]7[/tex]
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Two parallel lines are cut by a transversal as shown below.
Suppose m<7=107 . Find m<1 and m<4 .
The angle measures : m∠1 = 107° and m∠4= 73°
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Given:
There are 2 parallel lines
A transversal cuts them
∠5 and ∠7 are corresponding angles
Corresponding angles are equal in measures
m∠5 = m∠7
m∠7 = 107°
m∠5 = 107°
∠1 and ∠7 formed a pair of alternate exterior angle.
And m∠1 = m∠7
∠1 and ∠4 formed a pair of linear angle.
The sum of the measures of the linear angles is 180°
m∠1 + m∠4 = 180°
Substitute ∠1 by 107°
m∠4 + 107° = 180°
m∠4 = 180 - 107
m∠4= 73°
Therefore, m∠1 = 107° and m∠4= 73°
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What is the y-intercept of y= -3x + 6
Answer: 6
Step-by-step explanation:
y = -3x + 6 is the linear equation of the form y = mx + c
where m is the gradient of the graph and c is the y-intercept of the graph.
Hence,
m = -3
c = 6
y-intercept of the graph = c
= 6
The total surface area of a cube is 294 cm".
Work out the volume of the cube.
i would really appreciate it thank you!! :)
Hey Buddy,
Answer:
343 cm³
Step-by-step explanation:
Total Surface Area of the cube = 294 cm²
Surface Area = 6a²
6a² = 294
a² = 49
a = square root of 49
= 7
Volume of a cube = a³
Thus, the volume of the cube = 7³
= 7*7*7
= 343 cubic centimeters
Hope it helps :)
40% of Damien’s marbles are blue Damien has 30 marbles how many of the marbles are not blue
Answer:
12
Explanation:
40/100 = 0.4
0.4 * 30 = 12
I hope this helps you!
What is the height of the triangle 12 units?
The triangle of 12 units has a height of 10.39 units by Divide the result by the area (A) after first multiplying the base (b) by 1/2.
what is triangle ?
A triangle, which is a polygon, has three sides and three vertices. One of geometry's basic shapes is it. A triangle with the vertices A, B, and C is referred to as Triangle ABC. A unique plane and triangle are discovered in Euclidean geometry when the three points are not collinear. Having three sides and three corners, a triangle is a polygon. The triangle's corners are defined as where the three sides meet one another end to end. 180 degrees is the sum of the angles in a triangle.
given
Given, side length, a = 12 units.
the height of equilateral triangle, h = (a√3)/2.
Substituting the value of 'a',
h = (12√3)/2 = 6√3 =
10.39 units.
The triangle of 12 units has a height of 10.39 units by Divide the result by the area (A) after first multiplying the base (b) by 1/2.
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HELP!!!
Carbon dating is used to determine the age of fossils. A fossil was found with 75% of the original carbon-14. The half-life of carbon-14 is 5,730 years. The equation that models the situation is 0.75=(0.5)x5,730.
How old is the fossil?
Choose the answer that gives the correct logarithmic equation and answer.
A. x≈2,865
B. x≈13,805
C. x≈11,460
D. x≈2,378
Jorge received a 3.1% increase in his pay at work. If he now makes $18.00 per hour, how much was he making before his raise? (Round answer to the nearest cent (hundredths))
Simplify.
8-3(4-2x)
i’ll mark brainliest :)
Answer:
-4 + 6x.
Step-by-step explanation:
8 - 3(4 - 2x)
= 8 - 12 + 6x
= -4 + 6x.
The correct answer is 6x - 4
Simplify :
8 - 3(4 - 2x)
8 - (12 - 6x) (using BODMAS rule)
8 - 12 - (-6x)
( 8 -12) + 6x
-4 + 6x
= 6x - 4
Naomi'sbillforlunchatarestaurantwas$46.Sheleftan18%tip.Whatwastheamountofthetip?
Answer:
$8.28
Step-by-step explanation:
0.18*46=8.28