Answer:
x=4
Step-by-step explanation:
3x+14=26
3x=26-14
3x=12
x=12/3
x=4
Answer: x = 4
Let's solve your equation step-by-step:
3x+14=26:
Step 1: Subtract 14 from both sides.
3x+14−14=26−14
3x=12
Step 2: Divide both sides by 3.
3x/3 = 12/3
x=4
On a negatively skewed curve, which is true?
A negatively skewed distribution, sometimes referred to as a left-skewed distribution, is a kind of distribution where more values are clustered on the right side (tail) of the scatterplot but the left tail of the distribution graph is longer.
What is accurate about adversely skewed?The mean of positively skewed data will be lower than median in a distribution that has a negative skewness, which is the exact reverse of what would be expected. The distribution exhibits zero skewness if the data is graphed symmetrically, regardless of how long or thick the tails are.
What occurs in a distribution that has a negative skew?More values are plotted on the graph's right side, the distribution's tail is longer on the left, and the distribution is said to be negatively skewed.
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Example 2: An object is thrown upward from the top of a building, where h is the height of the object in metres and t is the time in seconds. The graph below represents the relationship between height and time.
a) What is the maximum height of the object above
the ground?
b) After how many seconds does the object reach this
maximum height?
c) From the moment the object was thrown, how much
time would it take for it to reach he ground?
d) How tall is the building?
The answers are given as 1) 165 m 2)3 seconds 3) 9 seconds 4)120 m
What is a curve in a graph?A curve is defined as a smoothly- flowing continuous line that has bent. It does not have any sharp turns. The way to identify the curve is that the line bends and changes its direction at least once. Curve of the graph is a pictorial representation of a particular function.
Given : A object is thrown from the top of the building thus by observing the graph we derive the following information
1) Maximum height = 165 m
2) The object reaches maximum height at t=3 seconds
3) The time it took to reach the ground is 9 seconds
4) The building is 120 m tall
Hence, the answers are 1) 165 m 2)3 seconds 3) 9 seconds 4)120 m
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What is the discriminant? What is the type and number of solutions?
-8x² +4x-1=0
Answer:
x= 1/4 - 1/4 x= 1/4 + 1/4
Step-by-step explanation:
Answer:
Type: (+ ve)
Number of solutions: 2
Step-by-step explanation:
Discriminant:The discriminant of the quadratic formula is the section under the radical. It tells us whether there are two solutions, one solution, or no solutions.D = b² - 4acWe are given an equation (-8x² + 4x - 1 = 0)
Now, change the sign
-8x² + 4x - 1 = 0
8x² - 4x + 1 = 0
Here,
a = 8b = (-4)c = 1Now, discriminant
D = b² - 4ac
D = (8)² - (4)(8)(1)
D = 64 - 32
D = 32 > 0
Here, 32 is greater than 0 so, it has two solutions.
Extra Information:b² - 4ac > 0 ↬ (+ ve), 2 solutionsb² - 4ac = 0 ↬ (= 0), 1 solutionb² - 4ac < 0 ↬ (- ve), No solutionUse the function f(x) = 4x2 + 8x − 5 to answer the questions.
Part A: Completely factor f(x).
Part B: What are the x-intercepts of the graph of f(x)? Show your work.
Part C: Describe the end behavior of the graph of f(x). Explain.
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph.
a) The quadratic function is factored as follows: f(x) = 4(x - 0.5)(x + 2.5).
b) The x-intercepts of the quadratic function are given as follows: x = -2.5 and x = 0.5.
c) The end behavior of the quadratic function is given as follows: as x -> ± ∞, f(x) -> ∞.
d) The graph is constructed at the end of the answer, considering the x-intercepts, the y-intercept, the end behavior and the vertex.
How to graph the quadratic function?The quadratic function for this problem is defined as follows:
f(x) = 4x² + 8x - 5.
Hence the coefficients are given as follows:
a = 4, b = 8, c = -5.
The discriminant is given as follows:
D = 8² - 4 x 4 x (-5)
D = 144.
Hence the x-intercepts are given as follows:
x = (-8 + square root (144))/8 = 0.5.x = (-8 - square root (144))/8 = -2.5.Considering the intercepts and the leading coefficient of a = 4, the function is factored as follows:
f(x) = 4(x - 0.5)(x + 2.5).
As the leading coefficient is positive, the parabola is concave up, meaning that the end behavior is that the function increases to infinity both at the left tail and at the right tail.
The y-intercept is given as follows:
f(0) = 4(0)² + 8(0) - 5
f(0) = -5.
The coordinates of the vertex are given as follows:
x = -b/2a = -8/8 = -1.y = -D/4a = -144/16 = -9.More can be learned about quadratic functions at https://brainly.com/question/24737967
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Can someone help me solve this?
The value of x is 15 units and the value of y is 12 units from the given figure.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the figure, AB is parallel to CD.
∠AOB=∠COD (Vertically opposite angles)
∠OAB=∠ODC (Alternate angles)
By AA similarity ΔAOB similar to ΔCOD
Now, 9/x =y/20 =3/5
9/x=3/5
x=15 units
y/20=3/5
y/4=3/1
y=12 units
Therefore, the value of x is 15 units and the value of y is 12 units from the given figure.
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Question 3: Use the graph to fill in the blank with the correct number. f(3) =
10A
5
•
0
5
•
-5.
-10%
Your answer
Answer:
f(3) = 2
Step-by-step explanation:
See the attached graph. f(3) = ____ is asking us to find the value of the function, f, at the point x = 3. At x = 3, the value of y is 2.
How do u work this out ?
Answer:
[tex]\frac{d}{c}[/tex]
Step-by-step explanation:
[tex]\frac{cxcxdxdxd}{cxcxcxdxd}[/tex] You can cross out 2 c's from the top and the bottom and 2 d's from the top and the bottom. It now looks like this
[tex]\frac{d}{c}[/tex]
At Central Middle School the 108 students who take the AMC 8 meet in theevening to talk about problems and eat an average of two cookies apiece.Walter and Gretel are baking Bonnie's Best Bar Cookies this year. Their recipe,1 which makes a pan of 15 cookies, lists this items: 1- cups of flour, 2 eggs, 323 tablespoons butter, cups sugar, and 1 package of chocolate drops. They will 4 make only full recipes, not partial recipes.Walter can buy eggs by the half-dozen. How many half-dozens should he buy to make enough cookies? (Some eggs and some cookies may be left over.)(A) 1(B) 2(C) 5(D) 7 (E) 15
5 half-dozens he should buy to make enough cookies.
What is an average?
Average, mean, median, and norm all refer to something that sits in the middle. The average is the ratio created by dividing the total number of figures in a set by the total number of figures. scored 85 on tests on average. The term "mean" can refer to the simple average or a figure that lies halfway between two extremes.
Here, we have
If 108 students eat 2 cookies on average, there will need to be 108× 2 = 216 cookies.
There are 15 cookies per pan, meaning there need to be {216}/{15} = 14.4 pans.
However, since half-recipes are forbidden, we need to round up and make{216}/{15} = 15 pans.
1 pan requires 2 eggs, so 15 pans require 2×15 = 30 eggs.
Since there are 6 eggs in a half dozen,
we need 30/6 = 5 half-dozens of eggs.
Hence, 5 half-dozens he should buy to make enough cookies.
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What is the length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in?
The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the square of the length of the other two sides (a and b).
In this case, a = b = 9 in, so:
c2 = 92 + 92
c2 = 81 + 81
c2 = 162
c = √162
c = 12.73 in
The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in, calculated using the Pythagorean theorem.The length of the hypotenuse of a 45 90 45 triangle whose leg measures 9 in is 12.73 in.
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Use the number line to plot –3, 1, and 3. Which statements are true? Select all that apply. –3 > 1 –3 = 3 1 < 3 –3 < 1
By the Number line, the true statements are,
⇒ 1 < 3
⇒ - 3 < 1
What is Number line?Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.
We have to given that;
In Number line, Plot the numbers - 3, 1 and 3.
Now, After plotting the numbers in Number line, we get;
⇒ - 3 < 1 < 3
Thus, The correct statements are,
⇒ 1 < 3 and - 3 < 1
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For the 1996 General Social Survey, conducted by the National Opinion Research Center NORC, 842 replied "yes" and 982 replied "no. " Let π denote the population proportion who would reply "yes. " Find the P-value for testing H0 : π = 0. 5 using the score test, and construct a 95% confidence interval for π. Interpret the results
At a significance level of 0.05, the sample data is not consistent with the null hypothesis that the proportion of population who would respond "yes" is 0.5. The P-value of 0.0005 is less than 0.05, and also the sample proportion 0.4616 is not in the interval (0.477, 0.523) which we found as 95% Confidence interval.
Therefore, we reject the null hypothesis and conclude that the population proportion of "yes" responses is different from 0.5.
The P-value for a score test for H0: π = 0.5 can be found using the z-score and a standard normal table. The z-score is calculated as
[tex]z = \frac{x-0.5}{0.5\sqrt{\frac{x-0.5}{n} } }[/tex], that is
z = (x - 0.5) / (√(0.5(1 - 0.5) / n)
where x is the sample proportion of "yes" responses (842 / (842 + 982) = 0.4616), π is the population proportion of "yes" responses, and n is the sample size (842 + 982 = 1824).
[tex]z = \frac{0.4616-0.5}{0.5\sqrt{\frac{0.4616-0.5}{1824} } }[/tex]
= (0.4616 - 0.5)/ (√(0.5(1 - 0.5) / 1824)
This gives a z-score of -3.28.
To find the P-value, we can use the standard normal table to find the probability of observing a z-score less than -3.28. This P-value is approximately 0.0005, which is less than the commonly used significance level of 0.05. Therefore, we would reject the null hypothesis that π = 0.5.
To construct a 95% confidence interval for π, we can use the formula for a normal approximation interval:
π ± z×(√(π(1-π) / n)) that is
[tex]\pi \frac{+}{} z\frac{\pi (1 -\pi )}{n}[/tex]
Where π = 0.5, z = 1.96 (for a 95% confidence level), and n = 1824.
This gives a 95% confidence interval of (0.477, 0.523)
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using factorization middle school way ☹️
On solving the provided question, we can say that - by the prime factors we have x^2 + 1 +2x = X= -1, -1
what is prime factor?Any natural number other than 1 with just itself and the number 1 as its divisors is considered a prime factor. Actually, 2, 3, 5, 7, 11, and so on are some of the first prime numbers. an amount that has been multiplied to produce another amount. By dividing 15 by 3 and 5, for instance, we get 3 5 = 15. main elements: Prime factors include all factors that are prime but are not composite. A few prime factors of 30 are 2, 3, and 5. Only 2 and 3 are prime factors of 12, so listing 2 twice as 2 2 3 (or 22 3) is necessary to factorize 12. The sum of 2 + 3 is not 12.
here we have the equation,
[tex]x^2 + 1 + 2x\\[/tex]
(x+1)(x+1)
x = -1, -1
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The first 5 terms of a certain sequence are 6. 12, 24, 48, and 96.
Which two statements about this sequence are true?
This is a geometric sequence.
This is an arithmetic sequence.
The function f(n)2(6)"
The function f(7) = 6(2)"
The function f(n) = 6 -6(n
represetits this sequence, where is a positive whole
represents this sequence, where is a positive whole r
1) represents this sequence, where n is a positive wh
Answer:
see explanation
Step-by-step explanation:
there is a common ratio between consecutive terms, that is
12 ÷ 6 = 24 ÷ 12 = 48 ÷ 24 = 96 ÷ 48 = 2
this indicates the sequence is geometric
the nth term of a geometric sequence is
f(n) = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = 6 and r = 2 , then
f(n) = 6 [tex](2)^{n-1}[/tex]
The correlation coefficient r between the size of a lake in square miles, x, and the yearly number of registered boaters, y, is 0.743. What percent of the variation in the number of yearly boaters can be explained by differences in lake sizes
Answer:
55.2049%
Step-by-step explanation:
R², the coefficient of determination, is the proportion of the variation in the dependent variable that is predictable from the independent variable.
In this case, if we square our correlation coefficent r=0.743, we get R²=0.552049, which means that 55.2049% of the variation in the number of yearly boaters can be explained by differences in lake sizes
Is x-intercept a number or a point?
The point at a graph where the graph cuts the x-axis is known as the x-intercept. Therefore, the x-intercept is a point.
A graph is made up of four quadrants in which two are positive and two are negative quadrant.
There are two types of axis which are x-axis and y-axis two negative and two positive.
The y-intercept is the point where the graph cuts the y-axis .Graph Theory is the study of graphs which comes under discrete mathematics.
It is defined as a mathematical structure that connects a group of points to express a specific function.
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Simplifying algebraic expressions
The simplified form of the algebraic expression [tex]2c-7c[/tex] is [tex]-15[/tex]
The given algebraic expression is [tex]2c-7c[/tex] and we need to use [tex]c=3[/tex]
Let's substitute the value of [tex]c[/tex] in the given algebraic expression, that is
[tex]=2(3)-7(3)\\=6-21\\=-15[/tex]
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Answer:
-15----------------------
Given expression
2c - 7cSimplify it:
2c - 7c = (2 - 7)c = - 5cFind its value by plugging in the value of c:
- 5c = - 5*3 = - 15Andrew is kayaking in a river with a 6 mph current. Suppose that he can kayak 4 miles upstream in the same amount of time as it takes him to kayak 9 miles downstream. Find the speed (mph) of Andrew’s kayak in still water
If Andrew takes same amount of time to kayak 4 miles upstream and 9 miles downstream in a river with a 6 mph current, then the speed of Andrew’s kayak in still water is 15.6 miles per hour.
Therefore the answer is 15.6 mph.
We can begin solving the problem by using the equation:
Speed (relative to water) = Speed (in still water) + Speed (of the water)
Let x be the speed of Andrew's kayak in still water.
When kayaking upstream, his speed relative to the water is x - 6 mph (since the current is moving in the opposite direction at 6 mph).
When kayaking downstream, his speed relative to the water is x + 6 mph (since the current is moving in the same direction at 6 mph).
Since the problem states that it takes Andrew the same amount of time to kayak 4 miles upstream as it takes him to kayak 9 miles downstream, we can set up the following equation knowing time = distance/ speed :
4/ (x - 6) = 9/ (x + 6)
Simplifying and solving for x we get
4(x + 6) = 9(x - 6)
4x + 24 = 9x - 54
9x - 4x = 54 + 24
5x = 78
x = 15.6
So, Andrew's kayak speed in still water is 15.6 miles per hour.
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A triangle has vertices at (1, 3), (2, -3), and ( -1, -1). What is the approximate perimeter of the triangle?
Answer choices
15
10
14
16
Answer:14
Step-by-step explanation:You can use distance formula to find the length of each side, and then add them together to approximate the perimeter.
when processing an invoice what account is debited
a. cash
b. accounts payable
c. accounts receivable
d. the answer depends on the transaction
Answer:
D
Step-by-step explanation:
Because the account that gets debited depends on the specific transaction
What is the log2 function?
The log2 function is a mathematical function that returns the logarithm of a given number to the base 2.
It is used to calculate the power to which a number must be raised to get a particular result.
For example, the log2 of 16 is 4, since 2^4 = 16. It can also be expressed as log2 16 = 4. Log2 is used in many areas of mathematics, including number theory, probability theory, and calculus.
It is also used in computer science and engineering to solve complex problems. Furthermore, it is used in cryptography to calculate the key sizes of encryption algorithms. In general, it is an essential tool for solving mathematical and scientific problems.
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convert y=2(x-5)(x+2) into standard form
Answer:
Step-by-step explanation:
y=2x-5+2
then you do minus 2 on both sides
Hope this helped!
What is the value of S unit?
Triangle ABD is a right-angled triangle. The value of s which is the hypotenuse of the triangle ABD is 17 units.
What is triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane. Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The total of the triangle's three angles equals 180 degrees.
Here,
Given information:
From the given figure, the following information can be extracted:
Triangle ABD is a right-angled triangle.
Base AB is 8 units, Height BD is 15 units.
s is the hypotenuse of the triangle ABD.
Use the Pythagoras theorem to solve for the value of s or AD,
AD²=AB²+BD²
s²=8²+15²
s²=289
s=17 units
Therefore, the value of s which is the hypotenuse of the triangle ABD is 17 units.
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Please help me with this question:
What is 2x-2?
Answer:
as a factor 2(x-1) this should help or be the correcr answer
The steps to solve an equation are shown below. Choose the reasons that are listed in the correct order to justify the steps in the solving process.
A- 1. Given, 2. Division Property of Equality, 3. Addition Property of Equality, 4. Division Property of Equality
B- 1. Given, 2. Multiplication Property of Equality, 3. Subtraction Property of Equality, 4. Division Property of Equality
C- 1. Given, 2. Division Property of Equality, 3. Addition Property of Equality, 4. Multiplication Property of Equality
D- 1. Given, 2. Multiplication Property of Equality, 3. Addition Property of Equality, 4. Division Property of Equality
The steps to solve the equation (5y - 1)/2 = 7 are assigned and attached
D- 1. Given, 2. Multiplication Property of Equality, 3. Addition Property of Equality, 4. Division Property of EqualityHow to solve the given equationThe expression in the problem is (5y - 1)/2 = 7
Clearing the fraction
The fraction is cleared by applying the Multiplication Property of Equality
(5y - 1)/2 = 7
5y - 1 = 14
Adding 1 to both sides of the equation is done using Addition Property of Equality
5y - 1 + 1 = 14 + 1
5y = 15
Making y the subject of formula Division Property of Equality is applied
5y / 5 = 15 / 5
y = 5
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Part II:
13. Use the information in the table to answer the following:
A relation is Given below:
M
a) Identify the domain and the range for the given relation:
Domain:
X 0
1
- 1
0
y 0 -1 0 1
Range:
Formal Asso
Using the information in the table the domain is 4 and the range [-1,1]
Is it in the X or Y domain?The term "domain" refers to a group of potential input values, and the domain of a graph is made up of all the input values visible on the x-axis. The y-axis displays the range, which is a collection of possible output values.
How do you discover a table's domain and range?The domain is typically listed in the left column and the range is typically listed in the right column in a table like the one below. The domain and range of a relation or function, respectively, can be thought of as the input values (x) and the output values (y), respectively.
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what is the x-intercept of the graph of the equation 3x-4y=20
Answer:
(20/3,0) is your x-intercept
Step-by-step explanation:
To find x-intercept, let y = 0
[tex] \displaystyle{3x = 20}[/tex]
Solve for x, divide both sides by 3:
[tex] \displaystyle{ \dfrac{3x}{3} = \dfrac{20}{3}} \\ \\ \displaystyle{ x = \dfrac{20}{3}}[/tex]
Hence, the x-intercept is (20/3,0). We write in order pair since it's x-intercept and x = 20/3 at y = 0
7.3 significant figure
Answer:
7.0
Step-by-step explanation:
from the first figure which is not a 0
7.3-7.0(1 significant figure)
pls i need to know what the answer is!!!
The solution of the equation 3(2m - 1) ≤ 4m + 7 is option A m ≤ 5.
What are inequalities?A mathematical statement known as an inequality in algebra uses the inequality symbol to show the relationship between two expressions. An inequality symbol denotes that the expressions on each side are not equal.
The given inequality is 3(2m - 1) ≤ 4m + 7
Remove the brackets by multiplying 3 with each term inside it:
6m - 3 ≤ 4m + 7
Subtract 4m from both sides of the equation.
6m - 3 - 4m ≤ 4m + 7 - 4m
2m -3 ≤ 7
Add 3 to both sides of the equation.
2m - 3 + 3 ≤ 7 + 3
2m ≤ 10
Divide both sides of the equation with 2.
2m/2 ≤ 10/2
m ≤ 5
Hence the solution of the equation is m ≤ 5, that is option A.
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Y=6 and x=-1 parallel or perpendicular line
Answer:
perpendicular
Step-by-step explanation:
Please give me a step by step explanation
Answer:
[tex]108\pi[/tex] or approx. [tex]339.3 m^{2}[/tex]
Step-by-step explanation:
The question asks us to find the total surface area of the given hemisphere. The question gave us the formula for total surface area of a sphere, [tex]SA_{tot} =4\pi r^2[/tex]. But we need it for a hemisphere, so multiply the equation by [tex]\frac{1}{2}[/tex].
[tex]SA} = (\frac{1}{2}) 4\pi r^2[/tex] => [tex]SA} =2\pi r^{2}[/tex]
We also need the area of the base, which is circle. [tex]A_{circle}=\pi r^{2}[/tex].
Now add these equations together to get our equation.
[tex]SA_{tot} =2\pi r^2 +\pi r^{2}[/tex] => [tex]SA_{tot} =3\pi r^2[/tex]
Now we have the proper equation for total surface area of a hemisphere, [tex]SA_{tot} =3\pi r^{2}[/tex]. Plug in the value of [tex]r[/tex] which is given in the problem, [tex]r=6m[/tex].
=> [tex]SA_{tot} =3\pi (6)^{2}[/tex] => [tex]SA_{tot} =3\pi (36)[/tex] => [tex]SA_{tot} =108\pi m^{2}[/tex] or approx. [tex]339.3 m^{2}[/tex]