The graph that represents the solution to the inequality is a number line with closed point at 10 with arrow pointing left
What is a graph?You should be aware that inequality is is a mathematical statement showing that two opposite things are not equal. The graph is a diagram that illustrates the statement.
The given inequality is 2(b + 2) > 24
Opening the brackets to get
2b+4≥24
2b≥24-4
This implies that 2b≥20
Making b the subject
b≥20/2
b≥10
Therefore, the graph is a number line with closed point at 10 with arrow pointing left
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Are there 360 or 361 longitudes?
There are 360 longitudes. Longitudes are imaginary lines that run vertically around the earth and measure distance east or west of the Prime Meridian.
There are a total of 360 longitudes, which are divided into 180 degrees east and 180 degrees west.
Longitudes are imaginary lines that run vertically around the earth and measure distance east or west of the Prime Meridian. This Prime Meridian is the reference point which divides the planet into two equal halves. There are a total of 360 longitudes, which are divided into 180 degrees east and 180 degrees west. The longitudes are also referred to as meridians and they are used to measure the exact location of any place on the earth's surface. This helps in navigation and also in mapping the world. Each meridian is assigned a numerical value, ranging from 0 degrees at the Prime Meridian to 180 degrees at the International Date Line. The longitudes are also used to calculate time zones, with 15 degrees representing one hour of time difference. Therefore, the total number of longitudes will always remain 360, no matter the size of the earth.
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Farmer Dubble started with 87 elentires on
his farm. Every month, he exploded 5 more
of them. Farmer Gespil started with 13
elentires on her farm. Every month, she got
8 more of them.
Write a system of equations, in
slope-intercept form, to model each
farmer's elentires (y) as months (x)
increase.
The equations in the slope intercept form are,
y = -5x + 87
y = 8x + 13
What is slope intercept form?
The equation of the line can be written in different ways. One of the methods of writing equations of a line is slope intercept form.
The line with m as the slope, and c as the y-intercept is the graph of the linear equation y = mx + c. This form of linear equation is known as slope intercept form. The values of m and c are real integers in the slope-intercept form of the linear equation.
The slope, m, is a measure of how steep a line is. A line's y-intercept, c, denotes the y-coordinate of the location where the line's graph crosses the y-axis.
For farmer Dubble,
Number of elentires in beginning c = 87
Number of elentires destroyed every month m = -5
Linear equation in slope intercept form
y = -5x + 87
For farmer Gespil,
Number of elentires in beginning c = 13
Number of elentires bought every month m = 8
Linear equation in slope intercept form
y = 8x + 13
Therefore the system of equations in slope intercept form are,
y = -5x + 87
y = 8x + 13
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A 10 1/2 -inch candle burns down in 6 hours. At what rate does the candle burn, in inches per hour?
Answer:
1 [tex]\frac{3}{4}[/tex] inches per hour
Step-by-step explanation:
10 [tex]\frac{1}{6}[/tex] ÷ 6
10.5 ÷ 6 = 1.75
1.75 is the same as 1 [tex]\frac{3}{4}[/tex]
does anyone know this question ?? please help
Answer:
Step-by-step explanation:
the 3rd
Someone please answer this for me!
the answer is 22 only because I said so and that mean I’m right
Find the zeros of the polynomial: x 3+2x 2−x−2A1,−1,−2B1,3,7C1,−2,4DNone of these
The zeros of the polynomial x3 + 2x2 - x - 2 are -1, -2 and 4.
The given polynomial is x3 + 2x2 - x - 2. To find the zeros of this polynomial, we need to solve the equation x3 + 2x2 - x - 2 = 0.
Rewrite the equation as x3 + 2x2 - x - 2 = 0.
Factor the equation.
Set each factor equal to zero and solve for x.
(x + 2)(x2 - x - 1) = 0
x + 2 = 0
x = -2
(x2 - x - 1) = 0
x2 - x - 1 = 0
x2 - 1x - 1 = 0
Apply the quadratic formula to solve for x.
x = [-b ± √(b2 - 4ac)] / 2a
x = [(-1) ± √(1 - 4*1*(-1))] / 2*1
x = [(-1) ± √(5)] / 2
x = [-1 ± √5] / 2
x = [(-1 + √5) / 2] and [(−1 - √5) / 2]
Simplify the solutions and find the zeros of the polynomial.
x = (-1 + √5) / 2 and x = (-1 - √5) / 2
Therefore, the zeros of the polynomial x3 + 2x2 - x - 2 are -1, -2 and 4.
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Which addition would MOST likely improve the effectiveness of the advertisement?
a picture of the pillow
a personal quote from someone who has used the pillow
research that verifies the number of people who preferred the pillow
a consumer safety rating
Answer:
Research that verifies the number of people who preferred the pillow.
Sorry, if I'm wrong.
Drag the red and blue dots along the x-axis and y-axis to graph
3x+8y=27
Answer:
Hope this helps you
Step-by-step explanation:
3x+8y=27 (0,9) .... look at picutre
helppp pls ive been here ages
The final velocity in the given equation is −0.5, when the acceleration is -5.
What is velocity?The distance covered by a body in one unit of time in a specific direction is referred to as velocity. M/s is always the only metric unit of velocity.
Speed and velocity are different in that:
i) velocity is a vector quantity, meanwhile speed is a scalar quantity.ii) Speed is always positive, in contrast to velocity, which can be either positive or negative.iii) The difference between velocity and speed is the amount of distance covered in a given amount of time when moving in a specific direction.v = u + at
here,
a = average acceleration
v = final velocity
u = initial velocity
t = time
given, u = 2
a = -5
t = 1/2 = 0.5
putting the values
v = 2 + (-5)(0.5)
v = 2 - 2.5
v = −0.5
Thus, The final velocity in the given equation is −0.5, when the acceleration is -5.
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If f(x)=x is the parent graph, then which equation represents the shown transformation?
y-axis 6 5 4 3 2 1 x=ax S 4 -3 2 -1 1 2 3 4 5 6 -1 -2.
What is transformation?It refers to the act, process, or instance of transforming or being transformed. Regarding transformative learning, Mezirow indicates learning occurs when there is a transformation in one of our beliefs or attitudes, or a change of our entire perspective. Learn more in: Connecting Teachers' Dispositions With Their Teaching Philosophies2.A process of change and development. When it refers to human transformation, it implies an internal change and growth to one’s highest potential or best oneself, which affects one’s worldview, behaviors, and thought. Learn more in: Two Languages, One Self: The Story of My Bilingual Journey3.In general it is a result of an effect of environment that changes an object. In everyday practice it is a set of actions that change the state or properties of different materials, goods, services or knowledge. Learn more in: Instructional Technologies of the XXI Century: Theoretical ApproachTo learn more about Theoretical Approach refer to:
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A transformation modifies the parent function's graph.
What is meant by Transformations?The graph of a parent function is changed by a transformation. Transformations come in three different flavors: translations, reflections, and dilations.
A point, line, or geometric object can be changed in four different ways that are all collectively referred to as transformations. The pre-image is the shape of the object as it was originally, and the transformed shape of the object is termed the image.
Making pictures or replicas of an object is part of transformation geometry. You are introduced to transformation geometry in grade 9 through the use of translation, reflection, dilation, and rotation.
The foundation of the problem transformation approach is the notion that, if we are unable to address the given problem directly, we will move it to a setting where we can do so. The method's fundamental component is how the problem is broken down into smaller tasks.
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What is the value of x? round to the nearest tenth, if necessary. responses x = 4 x, = 4 x = 5 x, = 5 x = 6.2 x, = 6.2 x = 9.4
By Using Pythagorean Theorem, the value of x is 6.2 units.
Pythagorean Theorem:
In mathematics, the Pythagorean Theorem or Pythagorean Theorem is the fundamental relationship in Euclidean geometry between the three sides of a right triangle. It states that the area of a square whose side is the hypotenuse (opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation for the lengths of sides a, b and hypotenuse c and is often called the Pythagorean equation.
a² +b² =c²
Now,
By using the Pythagorean theorem:
Hypotenuse² = Perpendicular² + Base²
Now,
In the Δ ABD
As given
DB² = DA² + AB²
As given
DB = 13 units
AB = 9 units
Putting values in the above
13² = 9²+ DA²
169 - 81 = DA²
88 = DA²
Now,
In ΔABC
AB² = AC² + CB²
(As given AB = 9 units , CB = x)
9² = AC² + x²
AC ² = 81 - x²
Now in ΔADC.
AD² = AC² + DC ²
As
AC ² = 81 - x²
DC = 13 - x
AD = [tex]\sqrt{88}[/tex]
(√88)² = 81 -x² +( 13 - x²)
By using the formula (a + b)² = a² + b² + 2ab
88 = 81 - x² + 13²- 2 × 13 × x + ²
⇒ 88 = 81 - x² + 13² - 26x + x²
⇒ 88-81 - 169 = -26x
⇒ 88-250 =-26x
⇒ -162 = - 26x
x = 6.2 (Approx.)
Therefore the value of x is 6.2 units.
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12 sodas for 3.24 find the unit rate
Answer:
Step-by-step explanation:
0.27 is the answer
Use the point in the graph to find the equation of the line in point-slope form
A
y-3=5(x-1)
B
y+3=5(x+1)
C
y+3=5(x-1)
D
y-3=5(x+1)
Answer: the correct answer is A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The equation of the graph in the slope intercept form is
y = 5x -2
The slope is 5. If you start at the y-intercept (0, -2) and go up 5 and 1 to the right you will be at the red point (1,4). The slope is the rise over the run.
[tex]\frac{5}{1}[/tex] = 5.
The y -intercept is where the line crossed the y axis (0,-2)
The y intercept is -2
A
y - 3 = 5x - 5 Add 3 to both sides
y - 3 + 3 = 5x - 5 + 3
y = 5x -2
Your friend Tammy just got a part-time job so she can afford to attend a school trip abroad later this school year. Tammy gets a paycheck on the 1st of every month, and a cash payment is due to the International Club advisor by the 3rd of every month with no exceptions. More than one late payment results in being removed from the trip. What recommendation do you have for Tammy?
I recommend that Tammy create a budget to keep track of her income and expenses. She should also set up automatic payments for her International Club advisor so she doesn't miss any payments. Additionally, Tammy should create a savings plan for the trip to make sure she has enough money for it. Finally, she should start the habit of setting aside money from each paycheck for the trip, so she has a consistent source of funds when she needs them.
Help with question A.
To do simple subtraction, use the - (minus sign) arithmetic operator.
How to get a proper Conclusion?6N + 10
---------- - 5 =
2
3N + 5 - 5
3N
so yes, you will always get triple the original number. or 3N.
A final step should be to divide the last difference by 3, which gets you
the original number back.
Two positive integers added together are always positive.
When two negative integers are added together, the result is always negative.
The result of subtracting two positive integers might be either positive or negative.
The result of subtracting two negative integers might be either positive or negative.
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you select a sample of 30 scores from a population of 1,000 scores. you compute the mode, median, and mean on the sample of 30 scores. you then select another sample of 30 scores from the same population. what measure of central tendency is likely to vary least between your first and second samples
The measure of central tendency that is likely to vary least between the first and second samples of 30 scores is the median.
The median is less affected by outliers and variations in the sample compared to the mean and mode, making it less likely to vary between samples.
The median is a measure of central tendency that represents the middle value of a dataset when it is ordered by value. It is a robust statistic, which means that it is not easily affected by outliers or variations in the sample. This is because the median only looks at the middle value of a dataset, and does not take into account the values of the entire dataset, unlike the mean.
The mode, on the other hand, is the value that appears most frequently in a dataset. It is affected by variations in the sample because it is based on the frequency of values. A different sample of the same population may have a different distribution of values, resulting in a different mode.
The mean is the sum of all the values in a dataset divided by the number of values. It is affected by outliers, as a single large or small value can greatly affect the mean. In small samples, the mean can be affected by small variations in the sample.
In conclusion, since the median is based only on middle value of the sample, it is less affected by variations in the sample and outliers, making it less likely to vary between samples.
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Gabriel earns $11.25 per hour at his job. He also receives a bonus of $20 each week if he arrives on time for each of his shifts. Assuming Gabriel is always on time, and x is the number of hours he works, which rule for f(x) models his weekly paycheck?
his pay check equation will be f(x) = 11.25x + 20
Find the sum of the measures of the interior angles of a convex nonagon.
The sum of the measures of the interior angles is ?
answer
7π radians
steps
non in nonagon means 9
nonagon has 9 sides
convex means each angle is less than 180°
sum of interior angles convex N -sided polygon =
π(N −2) radians
π(9 −2) radians
7π radians
socratic
wikipedia
cuemath
mathworldwolfram
oxfordlanguages
Answer:
7πradians
Step-by-step explanation:
non in nonagon means 9
nonagon has 9 sides
convex means each angle is less than 180°
sum of interior angles convex N-sided polygon=
π(N-2) radians
π(9-2) radians=
7πradians
Does 8cm 15cm and 17cm form a right triangle?
Answer:
No, the sides of a right triangle must obey the Pythagorean theorem, which states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, 8^2 + 15^2 = 64 + 225 = 289, which is not equal to 17^2 = 289. Therefore, 8cm, 15cm, and 17cm do not form a right triangle.
Step-by-step explanation:
Discuss the position of the Anti-Federalists related to ratification of the Constitution. Use facts.
The anti-federalist assumed that using the constitution will increase the oppression of the people by those in power but regardless, the constitution was ratified
What is Anti-FederalistThe Anti-Federalists were a group of individuals who opposed the ratification of the Constitution. They believed that the Constitution granted too much power to the central government and did not adequately protect the rights of individual states and citizens. They argued that the Constitution should include a bill of rights to safeguard individual liberties and that the government should be more closely modeled after the Articles of Confederation. Additionally, some Anti-Federalists believed that the Constitution would lead to the rise of an aristocracy and the oppression of the common people. Despite their opposition, the Constitution was ultimately ratified in 1788 with the support of Federalists.
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How do i make a study guide for graphing and functions HELP
What is the solution to the following inequality
-8 < 4( 8 - 2x) ?
Answer:
X < 5, or 5 > X
Step-by-step explanation:
Open up the parenthesis on the left side
-8 < 32 - 8x
Isolate -8x
- 8 - 32 < -8x
We can rewrite the inequality to make it easier to solve
-8x > -8 - 32
-8x > -40
Now solve for X, keep in mind you must switch the inequality sign when dividing by negatives
x < 5
the diameter of a wheel is 3 feet. what is the distance around the wheel
Answer: 9.42 Feet or 9 Feet 5.04 Inches
Step-by-step explanation: To solve for the circumference, the equation you must use is C = 2πr (Circumference = 2pi(3.14)radius(half of the diameter)).
What is the Sin(B)? need help! Thanks
What is the new substitution rule?
The new substitution rule states teams will be able to make five substitutes instead of the traditional three during each match.
Teams have decided to allow more substitutions after voting in favor of the change. Teams will now be permitted to use five substitutions instead of the customary three throughout each game starting in the 2022/2023 season.
The primary motivation for this choice is to lessen the negative impacts of increased match intensity and fixture congestion, which are thought to have a direct influence on player health and well-being. Over time, it will become clear how an increase in substitutes would affect player health and happiness.
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the toll on a highway us based on the miles driven. If the toll in a 15-mile stretch on a highway is $0.60. find the cost to drive a 80-mile stretch
Answer: $3.20
Step-by-step explanation:
We have
15-mile stretch = $0.60
80-mile stretch = x
Cross Multiply
15 × x = 80 × $0.60
x = 80 × $0.60/15
x = $3.20
Hence, the cost to drive an 80-mile stretch is $3.20
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided Write a list of steps that are needed to find the measure of ∠B
The measure of angle B in the given triangle is 41°
Calculating the measure of an angle in a triangleFrom the question, we are to calculate the measure of angle B.
From the exterior angle theorem of a triangle which states that if a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
Then,
We can write that
∠B + 72° = 113°'
∠B = 113° - 72°
∠B = 41°
Hence, the measure is 41°
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A student uses 4 cup of peanuts to make 3 cups of
Trail Mix. Using this same proportion, how many cups of
peanuts are needed to make 5 cups of Trail Mix?
Answer quickly I gotta finish my work asap
Answer:
6 [tex]\frac{2}{3}[/tex] cups
Step-by-step explanation:
we can set up a proportion:
[tex]\frac{4}{3}[/tex] = [tex]\frac{t}{5}[/tex] 't' equals the number of cups of peanuts to make 5 cups trail mix
now we can cross-multiply to get:
3t = 20
t = 20/3 or 6 2/3 cups
Do the side lengths 9 12 and 15 form a right triangle?
The sides of lengths 9, 12 and 15 will form right angled triangle with 15 as hypotenuse.
We can check if the mentioned side form right angled triangle or not by checking the values through Pythagoras theorem. The hypotenuse will be 15 from mentioned sides, as it is longest. Now, writing the Pythagoras theorem.
Hypotenuse² = Perpendicular² + Base²
15² = 9² + 12²
Taking square on the right and left hand side of the triangle
225 = 81 + 144
Performing addition on Right Hand Side of the triangle
225 = 225
Since both sides of equation are equal, hence, right angled triangle can be formed.
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question is in picture below
Answer:
C
Step-by-step explanation:
[tex]-12<4x \leq 8 \\ \\ -3<x \leq 2[/tex]
Answer:
[C] x > -3 and x ≤ 2
Step-by-step explanation:
[tex]\mathrm{Given:}-9 < 4x+3\leq 11[/tex]
[tex]\mathrm{{If}\:a < u\le \:b\:\mathrm{then}\:a < u\quad \mathrm{and}\quad \:u\le \:b}[/tex]
[tex]-9 < 4x+3\quad \mathrm{and}\quad \:4x+3\le \:11[/tex]
[tex]\mathrm{solving\;the\;first\;one}:-9 < 4x+3[/tex]
[tex]\mathrm{Switch\:sides}[/tex]
[tex]4x+3 > -9[/tex]
[tex]\mathrm{subtract\;3\;from\;both\;sides}:\\4x > -12[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}4\\\\\frac{4x}{4} > \frac{-12}{4}[/tex]
[tex]x > -3[/tex]
[tex]\mathrm{Now\;with\;the\;second\;one}:4x+3\le \:11[/tex]
[tex]\mathrm{subtract\;3\;from\;both\;sides}:\\4x\le \:8[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]
[tex]\frac{4x}{4}\le \frac{8}{4}[/tex]
[tex]x\le \:2[/tex]
Therefore, the answer is [C] x > -3 and x ≤ 2
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