Answer:
a.(x)=7
b.(x)=14
Step-by-step explanation:
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Answer:
For A x equals 7
For B x equals 14
Explanation:
Simply cross multiply
A. 21×2=42÷6=7
Or find the relationship
B. 150÷6=25
84÷6=14
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A piece of material measures 38 inches. Courtney cuts the piece of material into two pieces. One piece measures 19 inches. Write an addition equation that could be used to find the length, m, of the other piece of material.
Answer:
As a whole, the piece first measured 38 inches. No matter how many times you cut it, all of the pieces will still add up to 38 inches. You know that 19 inches is the length of one of the two pieces, so all you need to find is the other unknown piece. Add the two together, with m being the unknown length.
19+m=38
If you want to solve the equation, just subtract 19 from both sides.
19+m=38
m=19
Which conditional statement has a false converse? If a figure is a square, then it has four sides. If a point has x-coordinate 0, then it lies on the y-axis. If two angles are congruent, then they have the same measure. If two planes are parallel, then they have no points in common.
The conditional statement has a false converse will be the four-sided polygon may be square. Then the correct option is A.
What is the conditional statement?There have been two main categories of arguments in the studies of logic: conditional statements and polyamorous statements. These assertions, which are referred to as compound statements, are created by combining two other statements.
The converse statement should also be true when its condition is reversed.
Let's check all the options. Then we have
A. If a figure is a square, then it has four sides. The converse of the statement is false.
B. If a point has an x-coordinate 0, then it lies on the y-axis. The converse of the statement is true.
C. If two angles are congruent, then they have the same measure. The converse of the statement is true.
D. If two planes are parallel, then they have no points in common. The converse of the statement is true.
The conditional statement has a false converse will be the four-sided polygon may be square. Then the correct option is A.
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What is the explicit formula for this sequence?
40, 20, 10, 5,...
A. an= = (1)
B. an-40-2(n-1)
C. an = 40 (¹)
D. an = 40. (1)-0•40(n-1)
Answer:
D. an = 40. (1)-0•40(n-1)
Step-by-step explanation:
Simplifying the formula, we have:
an = 40 - 0 * 40 * (n-1)
an = 40 - 0
an = 40
Can anyone please help?
Q: A baseball is hit into the air by the Blue Jays' batting coach.
It's height h, in meters, after t seconds is h = - 4.9t² + 27.44t + 0.584
(a) write the equation in vertex form by completing the square
b) How high off the ground was the ball when it was hit?
c) When does the ball reach it's maximum height? what is it's maximum height?
d) For how long is the ball in the air ? Round answer to 1 decimal place
The ball is in the air for approximately 2.8 + √7 seconds, which rounds to 5.2 seconds when rounded to one decimal place.To write the equation in vertex form, we need to complete the square.
The given equation is h = -4.9t² + 27.44t + 0.584. We can rewrite it as:
h = -4.9(t² - 5.6t) + 0.584
Now, we want to complete the square inside the parentheses. To do this, we need to add and subtract the square of half the coefficient of t. In this case, the coefficient is -5.6, so we have:
h = -4.9(t² - 5.6t + (5.6/2)² - (5.6/2)²) + 0.584
Simplifying, we get:
h = -4.9((t - 2.8)² - 2.8²) + 0.584
Expanding further:
h = -4.9(t - 2.8)² + 4.9(2.8)² + 0.584
Thus, the equation in vertex form is: h = -4.9(t - 2.8)² + 34.328
b) The ball's height when it was hit can be found by evaluating the equation at t = 0:
h = -4.9(0 - 2.8)² + 34.328
h = -4.9(-2.8)² + 4.328
h = -4.9(7.84) + 34.328
h ≈ 0.784 meters
To find the time at which the ball reaches its maximum height, we can use the fact that the maximum height occurs at the vertex of the parabolic equation. The vertex of a parabola in the form h = a(t - h₀)² + k is given by (h₀, k). Comparing this to our equation, we can see that the vertex occurs at t = 2.8 and h = 34.328. Therefore, the ball reaches its maximum height at 2.8 seconds, and the maximum height is 34.328 meters.
The total time the ball is in the air can be determined by finding the time it takes for the ball to reach the ground. When the ball hits the ground, its height is 0. To find this time, we can set the equation equal to 0 and solve for t:
0 = -4.9(t - 2.8)² + 34.328
4.9(t - 2.8)² = 34.328
(t - 2.8)² ≈ 7
t - 2.8 ≈ ±√7
t ≈ 2.8 ± √7
Since time cannot be negative in this context, we can ignore the negative value.
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Find the measure of angle DEF
Answer:
31.8
Step-by-step explanation:
90-58.2=31.8
because the square in the middle means 90 degrees!
Answer:
<DEF= 31.8°
Step-by-step explanation:
Angle DEF is apart of a right angle which is 90°. The other angle, 58.2° is given and that plus DEF would equal 90°.
In an equation:
< DEF +58.2=90
-58.2 -58.2
----------------------------
<DEF= 31.8°
Given f-1(x)=-34x+2, which equation represents f(x)?
a statistical study inbolves a data set of the different types of shoe designs by the designer calbvivn klein collected consistentyly over the years from 1987 to 2014 quizzlet
Answer:
c
Step-by-step explanation: got it right on test
HELP HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
The answer is C. A fraction is basically another way of writing division, and six divided by three is two.
A student constructs a regular square pyramid with a base that has sides of 13.2 cm and a slant height of 6 cm. Find the surface area of the pyramid.
30 Points!!!!
Answer:
It is 409.72.
Step-by-step explanation:
graph h(x)=(x-1)^2-9
The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.
The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.
The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.
The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).
Based on this information, we can draw the following conclusions:
The graph will be a U-shaped curve with the vertex at (1, -9).
The vertex represents the minimum point of the parabola since it opens upward.
The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.
The graph will extend indefinitely in both directions.
To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.
Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.
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PLEASE HELP!!!
Shade 30% of the whole grid.
How much blocks do i shade?
Answer:
Shade 6
Step-by-step explanation:
There are 20 squares in the grid. Multiply 0.30 (percentages are written as decimals) by 20. There's your answer.
look at attachment!!!!
Answer:
x = 5
Step-by-step explanation:
We know that BD = 2x - 1 and BC + CD = BD. Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:
BC + CD = BD
x - 3 + 7 = 2x - 1
x + 4 = 2x - 1
x + 5 = 2x
5 = x
Thus, x = 5
Checking the validity of our answer:
We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:
5 - 3 + 7 = 2(5) - 1
2 + 7 = 10 - 1
9 = 9
Thus, our answer is correct.
Write the equation of a circle with a diameter endpoints of 13 and -1 and 15 and 9
The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.
Given that:
Endpoints of diameter, (13, -1) and (15, 9)
The equation of the circle when endpoints of diameter are given is written as,
(x - x₁)(x - x₂) + (y - y₁)(y - y₂) = 0
The equation of the circle is calculated as,
(x - 13)(x - 15) + (y + 1)(y - 9) = 0
x² - 28x + 195 + y² - 8y - 9 = 0
x² + y² - 28x - 8y + 186 = 0
The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.
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Rosemarie bought 2 pairs of shoes for $21.50 each and 4 pairs of socks for $3.25 each. If the sales tax rate is 5%, what is the total amount of money Rosemarie spent?
Answer:
$58.80
Step-by-step explanation:
The subtotal is $56.
56*1.05=$58.80.
Julio tiene 12 años de edad y su padre tiene 42 años. ¿Cuántos años tendrá Julio cuando su padre tenga el doble de su edad?
Julio will be 30 years old when his father is twice his age.
To determine the age at which Julio will be twice his father's age, we need to find the age difference between them and then add that difference to Julio's current age.
Currently, Julio is 12 years old, and his father is 42 years old. The age difference between them is 42 - 12 = 30 years.
For Julio to be twice his father's age, the age difference needs to remain the same as it is currently. Therefore, when Julio is x years old, his father will be x + 30 years old.
Setting up an equation to solve for x:
x + 30 = 2x
Simplifying the equation, we subtract x from both sides:
30 = x
Thus, when Julio is 30 years old, his father will be 30 + 30 = 60 years old. At this point, Julio will indeed be twice his father's age.
Therefore, Julio will be 30 years old when his father is twice his age.
Note : the translated question is Julio is 12 years old and his father is 42 years old. How old will Julio be when his father is twice his age?
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The is line that includes the point(-16,-4) and has a slope of 1. What is its equation in slope-intercept form?
Answer:
y = 1x - 4
Step-by-step explanation:
The slope-intercept formula is y = mx + b where m = the slope and b = y-intercept.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
i need help solving #16 I have no idea how to do it
Answer:
d. 9x^2 + 25x + 14
Step-by-step explanation:
Formula of area of a rectangle is L * W;
L being length
W being width
x + 2 is our W
9x + 7 is our L, thus;
(x+2)(9x+7)
[9x^2 + 25x + 14]
As the CAPS document outlines, the Content Specification and Content Clarification for Patterns, Functions, and Algebra shows sequenced mathematics content topics and a content area spread. In the Intermediate Phase, select one topic and report on the topic sequence and content area spread. Your report should demonstrate mathematics concepts and procedures’ hierarchical and logical progression.
Answer:
Step-by-step explanation:
In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."
The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:
Introduction to Variables and Expressions:
Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.
Solving One-Step Equations:
Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.
Solving Two-Step Equations:
Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.
Writing and Graphing Linear Equations:
Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.
Systems of Linear Equations:
Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.
Word Problems and Applications:
Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.
The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.
By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.
Extrema interpreting functions
Answer:
In mathematics, the extrema of a function refer to the maximum and minimum values that the function can take on. These values can be local extrema, which occur within a certain range of the function, or global extrema, which are the maximum and minimum values over the entire domain of the function.
To find the extrema of a function, one can use a variety of techniques, such as taking the derivative of the function and setting it equal to zero to find the points of stationary values, or using the second derivative test to determine whether a stationary point is a local maximum or minimum.
Interpreting the extrema of a function can provide valuable information about the behavior of the function. For example, the global maximum of a function might represent the highest possible value that the function can attain, while the global minimum might represent the lowest possible value. Local extrema can also be important, as they can indicate changes in the slope or concavity of the function, which can have important implications for applications such as optimization or modeling real-world phenomena.
I’m too lazy to do it so if someone can do it it would mean a lot
Answer: I think it would 2/15 so C positive
Step-by-step explanation:
Which number has a 3 that
has a value 10 times as much
as the 3 in 43.92?
A. 235.16
C. 96.315
B. 394.8
D. 7.635
Answer:
Answer A : 235.16
Step-by-step explanation:
Notice that in the original number (43.92), the 3 is located in the column of the units. So we are looking for a number that contains a 3 in ten times as much, that is a number that contains a 3 in the column of the tenths.
From the four given choices, the only one with a 3 in the column of the tenths is the one in answer A: 235.16
PLS HELP GIVING BRAINLIEST Scott wishes to make a line plot of the heights in inches for a basketball team. The heights are listed below. Which line plot represents the data correctly?
74 79 78 79 82
73 82 81 80 84
74 76 69 78 84
Answer:
its the first one you listed
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Please answer this correctly
Answer:
n = 4
Step-by-step explanation:
These triangles are similar, so you can set up a proportion like this:
\(\frac{20}{n} =\frac{10}{2}\)
→Cross multiply:
\(\frac{40}{10n}\)
→Divide 40 by 10:
n = 4
Last week, a chocolate shop sold 9 ounces of white chocolate. It sold 9 9/10 times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?
please answer asap
Solving the Question
We're given:
9 ounces of white chocolate sold\(9\dfrac{9}{10}\) times as much milk chocolate as white chocolate soldIf the shop sold " \(9\dfrac{9}{10}\) times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.
Multiply \(9\dfrac{9}{10}\) by 9 ounces:
\(9\dfrac{9}{10}\times9\)
Convert the fraction into an improper fraction:
\(=\dfrac{99}{10}\times9\)
Multiply:
\(=\dfrac{891}{10}\)
AnswerThe shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.
I am not really understanding the first two questions.
1. Table 4 values shows a Linear function.
2. 6 seconds faster were the runner in Group 2 than runners in Group 1.
What are Linear Function?Linear function are those which are in the form of f(x) = x ( here the line is passing through the origin )
Also Linear function can be in the form of y = mx + c where 'm' is the slope of the given line and 'c' is constant.
1. In the table 4 we conclude that:
y = f(x)
f(2) = 4 -------- point is ( 2, 4)
f(4) = 6 -------- point is ( 4, 6)
f(6) = 8 -------- point is ( 6, 8)
f(8) = 10 -------- point is ( 8, 10)
for the points to be in a line their slope must be equal:
Slope of line from point (2, 4) and (4, 6):
Slope = ( y2 - y1 )/ (x2 - x1)
Slope = ( 6 - 4 )/(4-2)
Slope = 2/2 = 1
Similarly,
Slope of line from point (4, 6) and (6, 8):
Slope = ( 8- 6 )/(6-4)
Slope = 1
Same as for points (6, 8) and (8,10)
Slope = 1
here the slop of the all points are same, so they lie on a single line and forms a linear equation in form of y = mx + c.
Hence, Table 4 values shows a Linear function.
2. Here we have given the data:
For group 1: 55 68 64 66 70
For group 2: 56 58 59 61 57
Average or Geometric mean :
Sum of all the observation / number of observation
Average for Group 1 = ( 55 + 68 +64 +66 + 70)/5
Average for Group 1 = 64.6
Average for Group 2 = (56 + 58 + 59 + 61 + 57)/5
Average for Group 2 = 58.2
Difference between the Average of group 1 and group 2: 6.4.
in whole number 6 seconds.
Hence,
6 seconds faster were the runner in Group 2 than the runners in Group 1.
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Express 83 kilometers per hour in miles per hour.
...
mi/hr
(Round to the nearest hundredth as needed.)
Answer:
83 kilometres per hour =
51.574 miles per hour
Quadrilateral A'B'C'D' is the image of
quadrilateral ABCD under a dilation with a scale
factor of 3. What is the length of segment BC?
By using the concept of dilation factor, length of BC obtained is 3 units
What is dilation factor?
Dilation is a transformation which changes the size of a figure by a certain factor.
That factor is called the scale factor
In the figure, A'B'C'D' is the image of ABCD under dilation with a scale factor of 3
A'B'C'D' is the dilated figure
Length of B'C' = 9 units
Length of BC = \(9 \div 3\) = 3 units
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Complete Question
The figure has been attached here
Which statement correctly uses limits to determine a vertical asymptote of GX
Answer:
hope this helps
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST
The value of n that satisfies the given polynomial expression is 10
Simplifying a polynomial expressionFrom the question, we are to determine determine the corresponding value of n in the simplified expression.
The given expression is
(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)
First, we will simplify this expression
(12x⁵ + 6x³ + x) - (x + 26)(2nx² + 1)
(12x⁵ + 6x³ + x) - (2nx³ + x + 52nx² + 26)
(12x⁵ + 6x³ + x - 2nx³ - x - 52nx² - 26)
Simplify further
(12x⁵ + 6x³ - 2nx³ - 52nx² - 26)
(12x⁵ + (6 - 2n)x³ - 52nx² - 26)
By comparison with (12x⁵ - 14x³ - 520x² - 26)
(6 - 2n)x³ = - 14x³
and
- 52nx² = - 520x²
Solve (6 - 2n)x³ = - 14x³ for n
(6 - 2n)x³ = - 14x³
6 - 2n = - 14
6 + 14 = 2n
20 = 2n
n = 20/2
n = 10
Similarly,
Solve - 52nx² = - 520x² for n
52n = 520
n = 520/52
n = 10
Hence, the value of n is 10
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Of 375 randomly selected students, 30 said that they planned to work in a rural community. Find 95% confidence interval for the true proportion of all medical students who plan to work in a rural community.
Answer:
The 95% confidence interval for the true proportion of all medical students who plan to work in a rural community is (0.0525, 0.1075).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
For this problem, we have that:
\(n = 375, \pi = \frac{30}{375} = 0.08\)
95% confidence level
So \(\alpha = 0.05\), z is the value of Z that has a pvalue of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).
The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.08 - 1.96\sqrt{\frac{0.08*0.92}{375}} = 0.0525\)
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.08 + 1.96\sqrt{\frac{0.08*0.92}{375}} = 0.1075\)
The 95% confidence interval for the true proportion of all medical students who plan to work in a rural community is (0.0525, 0.1075).