Answer:
\(x=22\)
Step-by-step explanation:
Because \(\angle ABC=\angle ABD+\angle DBC=80^{\circ}\), we have that \((2x+4)+(2x-12)=80\).
Combining like terms on the left side gives \(4x-8=80\).
Adding \(8\) to both sides gives \(4x=88\).
Dividing both sides of the equation by \(4\) gives \(\boxed{x=22}\).
what is the difference between slope and rate of change
The slope is the steepness of a line on a graph and represents the ratio of the vertical change to the horizontal change, the rate of change refers to the amount of change in one variable corresponding to a unit change in another variable.
The slope of a line is a measure of its steepness or incline. It is calculated by dividing the vertical change (change in y-values) by the horizontal change (change in x-values) between two points on the line. The slope indicates how much the dependent variable (y) changes with respect to a unit change in the independent variable (x). In other words, it represents the ratio of the rise (vertical change) to the run (horizontal change) on the graph.
On the other hand, the rate of change is a broader concept that applies to any relationship between two variables, not just linear relationships. It measures how one variable changes in response to a unit change in another variable. The rate of change can be positive, indicating an increase in one variable for every unit increase in the other variable, or negative, indicating a decrease. It can also vary across different intervals of the relationship, indicating that the relationship is not constant.
In summary, the slope specifically refers to the steepness of a line on a graph and is calculated as the ratio of the vertical change to the horizontal change. The rate of change, on the other hand, is a more general concept that describes how one variable changes in response to a unit change in another variable and can be applied to any type of relationship between variables.
Learn more about slope here:
https://brainly.com/question/2491620
#SPJ11
Can anyone help me with this math equation??
Answer:
The person above me is right, it is 0.3 or 1/3
Step-by-step explanation:
Third-degree, with zeros of -3,-2, and 1, and passes through the point (3,9)
Three zeroes of a third-degree polynomial are given, with the graph passing through the point (3,6). To find the equation of this, first, let us set up how a 3rd-degree polynomial factored out should look like:
y = a(x+b)(x+c)(x+d).
Since the zeroes of the function are -3, -2, 1, the equation will look like y = a(x+3)(x+2)(x-1). To solve for a, plug-in x = 3 and y = 6 from the point (3,6). After replacing the variable a in the equation with the answer, you will have the solution for the problem.
Third-degree, with zeros of -3,-2, and 1, and passes through the point (3,9) then the polynomial p(x) is (3/20)(x-1)(x+2)(x+3)
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
-3 is a root... (x+3) is a factor
-2 is a root... (x+2) is a factor
1 is a root... (x-1) is a factor
p(x) = a(x-1)(x+2)(x+3)
(3, 9) is on graph so p(3)=9
9=a(3-1)(3+2)(3+3)
9=a(2)(5)(6)
9=60a
Divide both sides by 60
a=9/60
a=3/20
p(x) = (3/20)(x-1)(x+2)(x+3)
Hence, third-degree, with zeros of -3,-2, and 1, and passes through the point (3,9) then the polynomial p(x) is (3/20)(x-1)(x+2)(x+3)
To learn more on Polynomials click:
https://brainly.com/question/11536910
#SPJ2
Guys I need help on this :(
Answer: it’s going to be 15!
Step-by-step explanation:
The model shows the expression 21 + 9. A model with 3 rows of 7 squares and 3 rows of 3 squares. Which expression is equivalent to this sum? 3 (7 + 3) 3 (7) + 3 3 + 7 + 3 7 (3 + 3)
Answer: the answer is 3(7+3)
Step-by-step explanation: since 7+3 is in paranthases you add them first to get 10 and you multiply it by the 3 to get 30. We know its correct because 21+9=30.
Answer:the awnser is 3(7+3 ) Step-by-step explanation: I took the quiz today hope u get it right!
9. the water temperature at the beach
Answer:
79 degrees
Step-by-step explanation:
No Explanation
36.Simplify: 5 – {3 – (x - 8) }
Answer:
x-10
Step-by-step explanation:
you have to do what is in the parenthesis first. Do distributive property to
-(x-8)
-(x)-(-8)= -x+8
now you have 5-(3-x+8)
Do distributive property again
5-3+x-8
x-8+2
x-10
hope this helps ~D~
Answer:
your answer will be X−6
Step-by-step explanation:
hope it helps
have a nice day/night ^_^
Please help! Correct answers only please!
You pick a card at random. Without putting the first card back, you pick a second card at random.
What is the probability of picking an even number and then picking an even number?
Simplify your answer and write it as a fraction or whole number.
Answer:
2/5
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
Out of these four card choices, for the first pick there are two even cards and four cards in total. This means that on the first pick there is a 2/4=1/2 chance that you pick an even card. On the second pick, if you do not replace the card, then there is 1 even card remaining, and 3 cards in total, leaving a probability of 1/3. Multiplying these two probabilities together, you get an overall chance of 1/6. Hope this helps!
simplify 12 to the power of 3 over 12 to the power of 7
Answer:
12 to the -4 power= 1/12 to the 4 power
Step-by-step explanation:
Resources management questions for each 10 marks
Q 1- Explain in brief about and characteristics of
resources.
Q2- Write note on classification of resources.
Q 3- Explain Management Process
Q4- Write
Resources are the means by which an organization achieves its objectives and they are very important in organizational activities. There are various types of resources, such as material resources, human resources, financial resources, technological resources, and information resources, each with its own characteristics. Material resources, for example, are tangible and physical, while human resources are intangible and non-physical. Some of the common characteristics of resources include the fact that they are limited, have alternative uses, and have cost implications.
Resources can be classified in several ways, but the most common classification is as follows: Natural resources (e.g. water, air), Human-made resources (e.g. buildings, machinery), Human resources (e.g. employees, managers), and Financial resources (e.g. money, credit). Natural resources are generally limited and their usage is regulated by laws and regulations. Human-made resources, on the other hand, are created by humans to facilitate their activities. Human resources refer to people who work in an organization and include employees, managers, and executives, while financial resources include money, credit, and other financial assets.
Management process refers to a set of activities that are used to achieve organizational goals and objectives. It is composed of four main functions: planning, organizing, leading, and controlling. Planning involves setting goals, objectives, and strategies to achieve them. Organizing involves allocating resources and developing a structure to achieve goals. Leading involves motivating employees and communicating with them to achieve goals. Controlling involves monitoring and evaluating performance against goals and objectives. In summary, resources are critical to the success of any organization, and they need to be managed effectively to achieve organizational goals and objectives. This involves classifying resources, understanding their characteristics, and applying the management process to ensure that they are used efficiently.
To know more about organization visit:
https://brainly.com/question/18080675
#SPJ11and objectives.
please it's urgent I really need answers
(c)
We notice that they already have common denominators, therefore we can just add the numerators up.
(x+y+x-y)/2xy=
2x/2xy
Dividing both top and bottom by 2x, we get
1/y-Hunter
Answer:
1/y
Step-by-step explanation:
See attached image.
please help :DDDD 50 pointssss and brainliest
Sasha solved an equation, as shown below:
Step 1: 8x = 56
Step 2: x = 56 – 8
Step 3: x = 48
Part A: Is Sasha's solution correct or incorrect? If the solution is incorrect, explain why it is incorrect and show the correct steps to solve the equation. (6 points)
Part B: How many solutions does this equation have? (4 points)
Answer:
Her solution is incorrect. The correct solution for the equation is x=7
Step-by-step explanation:
Sasha solved the equation incorrectly.
The correct way to solve this equation would be:
8x = 56
Divide both sides by 8.
\(\frac{8x}{8}= \frac{56}{8}\)
You would get x=7.
This equation has 1 solution.
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
Stay Brainy!
−Kallmekrish
During a 60-minute period, a traffic engineer counted 66 trucks and cars that crossed a bridge. The ratio of trucks to cars that travel across the bridge is usually 3:8. The equation 3 8 = t 66 − t 3 8 = t 66 − t can be used to predict the number of trucks, t, the engineer should have counted. How many trucks should the engineer have counted?
Answer:
18
Step-by-step explanation:
t = Number of trucks counted
c = Number of cars
Ratio of trucks to cars = \(\dfrac{t}{c}=\dfrac{3}{8}\)
Total number of cars and truck = 66
\(t+c=66\)
Divide the left and right side by the number of cars
\(\dfrac{t+c}{c}=\dfrac{66}{c}\\\Rightarrow \dfrac{t}{c}+1=\dfrac{66}{c}\\\Rightarrow \dfrac{3}{8}+1=\dfrac{66}{c}\\\Rightarrow \dfrac{11}{8}=\dfrac{66}{c}\\\Rightarrow c=66\times \dfrac{8}{11}\\\Rightarrow c=48\)
Total number of cars is 48
so
\(t=66-c\\\Rightarrow t=66-48\\\Rightarrow t=18\)
Total number of trucks counted is 18.
find the missing term in geometric sequence. 4,....,16
Answer:
4, 8 ,16
Step-by-step explanation:
4 * 2 = 8
8 * 2 = 16
a long distance phone charge of $1.40 for 10 min or 4.50 for 45 min. which is better
Answer: $4.50 for 45min is better.
Step-by-step explanation:
The fee per min for phone charge of $1.40 for 10 min: 1.40/10 = $0.14/min
The fee per min for phone charge of $4.50 for 45 min: 4.50/45 = $0.1/min
$0.14/ min > $0.1/min
4.50 for 45min is better.
rico tested 50 adults in an experimental group, to give a large enough ________ __________ to be accurate.
find the area of sector and the arc length. leave pi in answer; no decimals!
The arc length of the sector is 10π inches, and the area of the sector is 60π square inches.
What is the arc length and area of the sector of a circle?
Arc length = \( \frac{ \theta}{ {360}^{o} } \times 2\pi \: r\)
Area of sector = \( \frac{ \theta}{ {360}^{o} } \times \pi \: {r}^{2} \)
Where r is the radius of the circle, angle is the central angle in degrees, and π is the mathematical constant pi (approximately equal to 3.14159).
Given that the angle is 150° and the radius is 12 inches, we can substitute these values into the formulas to get:
Arc length
\(= \frac{150}{360} \times 2π(12) \\ = \frac{5}{12} \times 2π(12) \\ = 10π \: inches\)
Area of sector
\(= \frac{150}{360} \times π(12)^2 \\ = \frac{5}{12} \times π(144) \\ = 60π \: square \: inches\)
Therefore, the arc length of the sector is 10π inches, and the area of the sector is 60π square inches.
Learn more about circle here:
https://brainly.com/question/24375372
#SPJ1
Do you have to add both of the bases in a triangular prism to find the volume? Someone please help!
Answer:
Yes,you have to add both of the bases in a triangle prism to find the volume.
Step-by-step explanation:
took the test.
Answer:
No, you need it onceStep-by-step explanation:
Volume of the prism:
V = bhYou use the area of the base once, multiply it by the height to find the volume
The answer is no.
3 х 3x3x3x3
Index notation
5h−2(−8h+9), when h=8
Answer:
150
Step-by-step explanation:
Does Anyone Know This
Answer:
1 g-h
2 g^2-h
3 gh
4 g+h
5 h-g
6 g+h^2
Step-by-step explanation:
Which type of chart provides the least "predictive" value?
A. Bar chart
B. PERT
C. ADM
D. PDM
The correct option is A. The bar chart provides the least predictive value compared to PERT, ADM, and PDM techniques. It is primarily used for data visualization and comparison, not for forecasting.
The type of chart that provides the least "predictive" value is the Bar chart (A). A bar chart is used to represent categorical data and compare values across different categories. It is not typically used for predictive analysis or forecasting future trends. Instead, it focuses on displaying data in a visual and easy-to-understand format.
On the other hand, PERT (B), ADM (C), and PDM (D) are all project management techniques that are used for planning and scheduling activities in a project. They involve creating network diagrams and calculating critical paths to determine the project's timeline and dependencies. These techniques are more focused on analyzing and predicting the project's timeline and resource requirements, making them more predictive than a bar chart.
In summary, a bar chart provides the least "predictive" value compared to PERT, ADM, and PDM techniques. It is primarily used for data visualization and comparison rather than forecasting future trends.
To know more about Bar chart visit:
https://brainly.com/question/24741444
#SPJ11
prove that √-2 is irrational using strong induction
Using strong induction, we can prove that the square root of -2 is irrational by showing that it cannot be expressed as a fraction of coprime odd integers.
To prove that √-2 is irrational using strong induction, we need to show that for any natural number n, if the square root of -2 can be expressed as a fraction a/b, where a and b are coprime integers, then a and b must be odd.
We can start by using the base case, n = 1. Assume that √-2 can be expressed as a fraction a/b where a and b are coprime integers. Then, we have
√-2 = a/b
Squaring both sides gives
-2 = a^2/b^2
Multiplying both sides by b^2 gives
-2b^2 = a^2
This implies that a^2 is even, and therefore a is also even. We can express a as 2k for some integer k, which means
-2b^2 = (2k)^2
Simplifying, we get
-2b^2 = 4k^2
Dividing both sides by -2 gives
b^2 = -2k^2
This implies that b^2 is even, which means that b is also even. However, this contradicts our assumption that a and b are coprime integers. Therefore, √-2 cannot be expressed as a fraction a/b where a and b are coprime integers.
Now, let's assume that for all n ≤ k, the square root of -2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd. We want to prove that this also holds for n = k+1.
Assume that √-2 can be expressed as a fraction a/b where a and b are coprime integers with a and b odd. Then, we have
√-2 = a/b
Squaring both sides gives
-2 = a^2/b^2
Multiplying both sides by b^2 gives
-2b^2 = a^2
This implies that a^2 is even, and therefore a is also even. We can express a as 2k for some integer k, which means
-2b^2 = (2k)^2
Simplifying, we get
-2b^2 = 4k^2
Dividing both sides by -2 gives
b^2 = -2k^2
This implies that b^2 is even, which means that b is also even. However, this contradicts our assumption that a and b are coprime integers with a and b odd. Therefore, √-2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd.
By strong induction, we have proven that for any natural number n, the square root of -2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd. Therefore, √-2 is irrational.
To know more about induction:
https://brainly.com/question/31099433
#SPJ4
A Scottish dance team used 140 yards of tartan to make
dancing skirts. The heights of the team members vary. The skirt
3
pattern for the shorter members uses 3- yards of fabric, and
4 3
the skirt pattern for the taller members uses 4 yards of fabric.
4
Let s represent the number of shorter skirts and t represent the
number of longer skirts. Which equation represents the
relationship between the number of short skirts and the number
of long skirts that were made?
A
C
3 3
3 +4
4 4
3
3
st=140
140
3 3
4 4
B s+t=3 +4
D
-t=140
The equation showing the relation between shorter and longer skirt is 3s+4t = 140.
Given that the Scottish dance team used 140 yards of tartan to make dancing skirts.
The skirt pattern for the shorter members is 3- yards of fabric, and the skirt pattern for the taller members is 4 yards of fabric.
So, we need to find the equation represents the relationship between the number of short skirts and the number of long skirts that were made,
So, if there are s short skirts and t long skirts,
So,
The relation will be =
3s + 4t = 140
Hence the equation showing the relation between shorter and longer skirt is 3s+4t = 140.
Learn more about equation click;
https://brainly.com/question/29657983
#SPJ1
Determine the equation of the parabola with focus
(
2
,
5
)
(2,5) and directrix
�
=
18
x=18.
The equation of the parabola with focus (2,5) and directrix x=18 is (x - 18)² + (y - 5)² = (y - (5 + (18 - 2) / 2))².
A parabola is a conic section, the intersection of a right circular conical surface and a plane parallel to a generating
straight line of that surface.
The focus of a parabola is a fixed point on the interior of a parabola used in the formal definition of the curve.
The directrix is a straight line perpendicular to the axis of symmetry and placed symmetrically with respect to the focus.
The axis of symmetry is the line through the focus and perpendicular to the directrix.
The vertex of a parabola is the point where its axis of symmetry intersects the curve. It is the point where the parabola changes direction or "opens
up" or "opens down.
The directrix is a fixed straight line used in the definition of a
parabola. It is placed such that it is perpendicular to the axis of symmetry and at a distance from the vertex equal to the
distance between the vertex and focus. It is the line that is equidistant to the focus and every point on the curve.Here's
the solution to the given problem:
The distance between the directrix and the focus is equal to p = 16 (since the directrix is x = 18, the parabola opens to the left, so the distance is measured horizontally)
The vertex is (h,k) = ((18+2)/2,5) = (10,5)
Then we can use the following formula: (x - h)² = 4p(y - k)
Substitute the vertex and the value of p. (x - 10)² = 64(y - 5)
Expand and simplify. (x - 10)² + (y - 5)² = 64(y - 5)
The equation of the parabola is (x - 10)² + (y - 5)² = 64(y - 5).
for such more question on parabola
https://brainly.com/question/17987697
#SPJ11
sorry to be a bug again but please help with 8, 9, and 10 please!
8) The percent of people that said that Pinocchio was their favorite Disney Movie is of: 28%.
9) The percent of people that said that Pinocchio or Cars was their favorite Disney movie is of: 39%.
10) The two movies that about half the people say were their favorite is of: Pinocchio and Toy Story.
How to obtain the percentages?From the pizza graph, the sum of all the percentages must be of 100%, hence the Pinocchio percentage is obtained as follows:
10 + 11 + 14 + 15 + 22 + P = 100
72 + P = 100
P = 100 - 72
P = 28%.
Then the percentage for Pinocchio or Cars is of:
28 + 11 = 39%.
The percentage for Pinocchio or Toy Story is of:
28 + 22 = 50%.
(about half).
More can be learned about percentages at https://brainly.com/question/24877689
#SPJ1
A cylinder has a volume of 198 cm3, and its base has an area of 22 cm2. What is the height of the cylinder? V= πr²h
Answer:
The height of cylinder is 9 cm
Step-by-step explanation:
Volume of cylinder = 198 cm³
Base Area = 22 cm²
We need to find height of the cylinder
The formula used is: \(Volume\:of\:cylinder=\pi r^2h\)
Where \(Base\: Area = \pi r^2\)
First we need to find radius r
\(Base\: Area = \pi r^2\\22=3.14\: r^2\\r^2=\frac{22}{3.14}\\r^2=7\\Taking\: square\: root\: on\: both\: sides\\\sqrt{r^2}=\sqrt{7}\\r=2.656\)
So, we get radius r = 2.656
Putting values of volume and radius are to find height
\(Volume\:of\:cylinder=\pi r^2h\\198=3.14(2.656)^2h\\h=\frac{198}{22}\\h=9\)
So, the height of cylinder is 9 cm
On line A, each time x increases by 1 y increases by A) .5 B) 1 C) 1.5 D) 2
Answer:
b
Step-by-step explanation:
Ben traveled 53.30 miles by bike , 18.23 miles by car and 52.62 miles by bus. What is the total distance that he traveled ?
Answer:
124.15 Miles
Step-by-step explanation:
53.30 + 18.23 + 52.62
Write an inequality for the graph shown below.
Use x for your variable.
-11-10-9 -8 -7 -6 -5 -4 -3 -2 -1 0
4
2
w.
O
ロマロ
X
S
6 7 8
口<口
S
9 10 11 X
OSO
?
Step-by-step explanation:
x is less than or equal to 0.
so click x than the choose the third option then click 0