Answer:
a₂₅ = 157
Step-by-step explanation:
the nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 13 and d = 6 , then
a₂₅ = 13 + (24 × 6) = 13 + 144 = 157
how many college credit hours will you have earned by your high school graduation date? if you have not earned any hours enter
I have earned 10 college credit hours before end of my high school graduation date.
A credit hour is an approach to estimating how much credit an understudy gets for going to a course which relates to the hours out of each week spent in that course. Dissimilar to numerous conventional secondary school courses that expect understudies to go to class consistently, school courses may just meet a few times each week.
Each hour that an understudy spends in the class regularly compares to a credit hour. For instance, on the off chance that an understudy signs up for a class that meets for one hour on Monday, Wednesday, and Friday, that course would be worth three credit hours, which is normal of numerous school courses.
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A function of x is shown on the coordinate plane. Over which intervals is the function increasing ??
Quickest gets brainlest
Answer:
B
Step-by-step explanation:
The function is increasing anywhere the slope is positive. This corresponds to the intervals -4<x<-2 and 0<x<2. So, answer B is correct.
Two points defining a linear function are shown in the table below.
-14
-10
O
What is the slope of the function?
223
32
y
-18
-12
2
06
The slope of as per the given points will be equal to 3/2. Hence, option B is correct.
What is slope?It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.
As per the information given in the table,
The points are (-14, -18) and (-10, -12)
Use the equation given below to find the slope,
m = (y₂ - y₁)/(x₂ - x₁)
Substitute values in above equation,
m = (-12 - (-18))/(-10 - (-14))
m = (-12 + 18)/(-10 + 14)
m = 6/4
m = 3/2
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20 Emily wants to insert nine numbers into the 3 x 3 table so that the sum of the numbers in two adjacent cells (with a common side) is always the same. She has already written two numbers into the table. How big is the sum of all nine numbers? 8 (0) (D) 22 (B) 20 (C) 21 (0) 19 (E) 23
Answer:
D) 22
i hope it's correct
The requried sum of all nine numbers would be equal to 22. Option B is correct.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
For 3 x 3 tables,
Emily already wrote two numbers one is 2 in the 1 cell of the table and 3 in the 6th cell of the table.
For the given conditions for each side of cells in the table, the sum of the two adjacent cells must be equal.
So, If two is located at 1st cell, we put 3 on both the adjacent sides of 2 and 2 on both adjacent sides of 3 so that the sum equal to 5,
And the whole 3x3 table is given as,
2 3 2
3 2 3
2 3 2
Now, sum of all the digits, = 2 + 2 + 2 + 2 + 2 + 3 + 3 + 3 + 3 = 22
Thus, the requried sum of all nine numbers would be equal to 22. Option B is correct.
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Solve pls brainliest
Answer:
d = 9.43398113206
Step-by-step explanation:
d=√((x2 – x1)² + (y2 – y1)²)
d = √((-4-1)² + (5+3)²)
d = √((-5)² + (8)²)
d = √(25 + 64)
d = √89
d = 9.43398113206
George is an artist and wants to showcase his work in an exhibition.
George requires 30 hours to make a sculpture and 15 hours to make a painting. To display at the showcase he needs at least 5 sculptures and 6 paintings to be ready.
Let x represent the number of sculptures, and let y represent the number of paintings. If George has 300 hours left before the exhibition, which inequalities represent the constraints on the number of sculptures and paintings he can display?
1. x is less than or equal to 5
2. 30x+15y is less than or equal to 300
3. x is greater than or equal to 5
4. y is greater than or equal to 6
5. 15x+30y is greater than or equal to 300
6. y is less than or equal to 6
Answer:
2, 3, 4
Step-by-step explanation:
The term "at least" interprets as "greater than or equal to".
Because George has a Maximum of 300 hours left to complete sculptures and paintings, the Sum of the Hours (30x and 15y) must be Less Than, or can be Equal to 300.
-3 + 2i.
What is the absolute value?
The required absolute value of the given complex number is |-3 + 2i| = √13.
What is absolute value?Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.
The complex number is given in the question as:
-3 + 2i
We have to determine the absolute value of the given complex number.
The absolute value of a complex number a+ib is denoted as |a+ib| and is given by √(a²+b²)
As per the given question, we have
⇒ |-3 + 2i| = √((-3)²+2²)
⇒ |-3 + 2i| = √(9 +4)
⇒ |-3 + 2i| = √13
Therefore, the required absolute value of the given complex number is |-3 + 2i| = √13.
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Please help,100 points will give the brainiest.
Given the equation, 3x2 + 4x – 2 = 0, calculate the discriminant and determine the number and nature of the solutions.
1.d = 40; 2 irrational
2.d = 40; 2 rational
3.d = −8; 2 complex
Answer:
1. d = 40; 2 irrational
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{7.6 cm}\underline{Discriminant}\\\\$b^2-4ac$ \quad when $ax^2+bx+c=0$\\\\when $b^2-4ac > 0 \implies$ two real solutions.\\when $b^2-4ac=0 \implies$ one real solution.\\when $b^2-4ac < 0 \implies$ no real solutions.\\\end{minipage}}[/tex]
Given quadratic equation:
[tex]3x^2+4x-2=0[/tex]
Therefore:
a = 3b = 4c = -2Substitute the values of a, b and c into the discriminant formula:
[tex]\begin{aligned}\implies b^2-4ac&=(4)^2-4(3)(-2)\\&=16-12(-2)\\&=16+24\\&=40\end{aligned}[/tex]
Therefore, as d = 40 and 40 > 0:
[tex]\implies b^2 - 4ac > 0 \implies \text{two real solutions}.[/tex]
To determine if the solutions are irrational or rational, simply square root the discriminant.
[tex]\implies \sqrt{d}=\sqrt{40}=2 \sqrt{10}[/tex]
As the discriminant is not a perfect square, then its square root is irrational and so the solutions of the quadratic equation are irrational.
When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with mass 2kg, the acceleration of the object is 26 m/s^2 If the same force acts upon another object whose mass is 13kg, what is this object's acceleration?
A ∝ 1/M
A = K/M
A is the acceleration and M is the mass of the object.
The object's acceleration for an object of mass 13 kg is 4 m/s²
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation.
We have,
When a constant force acts upon an object, the acceleration of the object varies inversely with its mass.
This means,
A ∝ 1/M
A is the acceleration and M is the mass of the object.
Now,
A = K/M
26 = K / 2
K = 26 x 2
k = 52
Now,
M = 13
A = K/M
A = 52/13
A = 4 m/s²
Thus,
The object's acceleration for an object of mass 13 kg is 4 m/s²
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A pole 5 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Avery measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.A pole 5 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Avery measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot.
Answer:
The length of the wire is 24 ft long.
Step-by-step explanation:
PLEASE HELP ASAP!!!!!!!
1) If the slope of line a is 5 and the slope of line b is -5, then what is true about lines a and b (assume lines a and b are coplanar)?
A. they are parallel
B. they are perpendicular
C. they are intersecting lines
2) If the slope of line a is 1/4 and the slope of line b is -1/4, then what is true about lines a and b (assume lines a and b are coplanar)?
A. they are parallel
B. they are perpendicular
C. they are intersecting lines
3) If the slope of line a is 3 and the slope of line b is 3, then what is true about lines a and b (assume lines a and b are coplanar)?
A. they are parallel
B. they are perpendicular
C. they are intersecting lines
On solving the provided question, we got to know that - they are perpendicular, they are perpendicular and they are intersecting lines
what are perpendicular lines?A straight line that intersects another straight line at a 90° angle is said to be perpendicular. A little square is placed in the middle of two vertical lines to represent a 90° angle, often known as a right angle, as illustrated. The two straight lines in this instance are perpendicular to one another since they connect at a right angle.
1) For this case, we have to define perpendicular lines:
[tex]m1 * m2 = -1[/tex]
[tex]m1 = 1/5\\m2 = -5\\so, m1*m2 = -1\\[/tex]
they are perpendicular
2) they are perpendicular
3) they are intersecting lines
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Which term describes the red curve in the figure below?
A.
Circle
B.
Ellipse
C.
Parabola
D.
Hyperbola
Answer:
D
Step-by-step explanation:
A Hyperbola looks like a Parabola and its reflection, each Parabola curving opposite directions.
Answer:
D. Hyperbola
Step-by-step explanation:
A conic is the intersection of a plane and a right circular cone.
CircleFormed when a cone is intersected by a plane so that the plane is parallel to the circular base.
EllipseFormed when a cone is intersected by a plane so that the plane is at an angle with respect to the circular base.
ParabolaFormed when a cone is intersected by a plane so that the plane is parallel to an edge.
HyperbolaFormed when a double-cone is intersected by a plane so that the plane is perpendicular to the circular bases.
ec question 14: t distributions homeworkunanswereddue today, 11:59 pm which of the following statements are true regarding the t distribution. select all that apply. multiple answers: multiple answers are accepted for this question select one or more answers and submit. for keyboard navigation...show more a the t distribution is left-skewed. b the t distribution is right-skewed. c the t distribution is symmetric. d the t distribution is defined by its degrees of freedom. e the t distribution is equivalent to the normal distribution. f as the degrees of freedom of a t distribution increase it approaches a standard normal distribution g a distribution is used for testing the population mean when the population standard deviation is known. h a distribution is used for testing the population mean when the population standard deviation is unknown.
The standardized distribution known as the T distribution is a member of the one-parameter family. The degrees of freedom are the only input for the t distribution.
What is population variances?A measure of the distribution of a set of data points is called population variance. It measures the mean squared departure from the mean, specifically. As a result, the variance will be minimal if all of the data points are very near to the mean. The variation will be high if the data points are dispersed throughout a wide range.
The standardized distribution known as the T distribution is a member of the one-parameter family. The degrees of freedom are the only input for the t distribution. Because sample size is used to assess this degree of freedom, degrees of freedom are dependent on sample size.
The t distribution tends to follow a normal distribution as sample size rises. The degree of freedom is ultimately determined by the sample size, so as the degree of freedom rises, the t distribution tends to be a normal distribution.
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What is the volume of the figure below if a = 9 units and b = 7 units?
A.
760.5 cubic units
B.
1,296 cubic units
C.
1,012.5 cubic units
D.
364.5 cubic units
Base (cube): [tex]V=s^3[/tex]
[tex]V=9\cdot9\cdot9=729[/tex]
Top (triangular prism): [tex]V=\frac{1}{2}bhl[/tex]
[tex]V = \frac{1}{2}(9\cdot7)\cdot9=283.5[/tex]
Together:
[tex]V = 729+283.5 =1012.5[/tex]
C.
1012.5 cubic units.
The length of each side of a square is with the area of 1600 square inches is increased by 20 inches what is the resulting area
The area of the resulting square is 3600 in²
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Given that, a square has area 1600 in² whose length has been increased by 20 in each side.
Area of the square = side²
Let the original side length be x, then,
x² = 1600
x = 40 (neglecting -40, because length of anything can not be negative)
After 20 in increase, the side is (40+20) = 60 in
Area of new square = 60x60 = 3600 in²
Hence, The area of the resulting square is 3600 in²
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9. If f(1) = 8 and f(n)=1/2f(n-1) + 2 then which of the following is the value of f(3)
(1) 5
(2) 7
(3) 3
(4) 6
COMMON CORE ALGEBRA I, UNIT REVIEWS-UNIT #4
MATHINSTRUCTION, RED HOOK. NY 12571 ©2015
In the Algebra prompt above, If f(1) = 8 and f(n)=1/2f(n-1) + 2 then the value of f(3) is 5.
What is Algebra?Algebra is the branch of mathematics that aids in the representation of problems or situations using mathematical expressions.
We are given the following:
f(n)=1/2f(n-1) + 2; and
f(1) = 8
Thus,
f(2) = 1/2 x 8 + 2
= 4 + 2
f(2 )= 6
Hence,
f(3) = 1/2 x 6 + 2
= 3 + 2; thus,
f(3) = 5
Therefore, it is correct to state that if f(1) = 8 and f(n)=1/2f(n-1) + 2 then the value of f(3) is 5.
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The equation T^2 =A^3 shows the relationship between a planets orbital period, T , and the planets mean distance for the sun, A, is astronomical unit, AU. If planet Y is k times the mean distance from the sun as a planet X, by what factor is the orbital period increased
The increase in the orbital period is by a factor of k^3/2. Option D
What is the Kepler laws?From the Kepler's laws, we know that the square of the period of the planet is directly proportional to the cube of the distance of the planet from the sun. We can see that this has been typified by the expression; T^2 =A^3 where T is the period of the planet and A is the distance between the planet and the sun.
Now, we can see that from the relationship, If planet Y is k times the mean distance from the sun as a planet X then the orbital period would be increased by a factor of about k^3/2.
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Aaliyah throws a ball up in the air. The graph below shows the height of the ball hh in meters after tt seconds. How many seconds have gone by when the ball is at its highest point?
The number of seconds the ball has gone by when the ball is at its highest point is 1 second
How to determine the number of seconds?From the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following axis label
x-axis label: Timey-axis label: HeightThe highest point on the graph is the vertex of the graph
In this case, the point is
(t, h) = (1, 4.9)
Remove the h-coordinate
t = 1
This means that the time is 1 second
Hence, the ball has gone by 1 second when the ball is at its highest point
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13. Myleen is looking at a flagpole at a 58° angle. If she is sitting 20 feet from the base of the
flagpole, how tall is the flagpole? ( sin 58° = 0.8480; cos58° = 0.5299; tan 58° -1.600)
A. 10.5 ft
B. 17 ft
C. 26 ft
D. 32 ft
The height of the flagpole is 16.96 ft or 17 ft using the angle of elevation .
What is angle of elevation ?
The angle of elevation is the angle between the horizontal line of sight and the line of sight up to an object.
Here ,
angle of elevation is 58 degree.
And distance of Myleen from base of flagpole = 20 ft.
So, the height of flagpole = 20*sin(58°)
= 20 * .8480
= 16.96
≈ 17 ft.
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2.4 liters of tea were equally distributed to 40 mugs. How many milliliters of tea were in each mug?
Here each tea mug has 60 milliliters of tea.
What is division?
A division is one of the fundamental mathematical operations that divides a larger number into smaller groups with the same number of components. How many total groups will be established, for instance, if 20 students need to be separated into groups of five for a sporting event? The division operation makes it simple to tackle such issues. Divide 20 by 5 in this case. 20 x 5 = 4 will be the outcome. There will therefore be 4 groups with 5 students each. By multiplying 4 by 5 and receiving the result 20, you may confirm this value.
2.4 liters of tea were equally distributed to 40 mugs.
2400 milliliter of tea.
So each tea mug has = 2400/40 = 60 milliliters of tea.
Hence, each tea mug has 60 milliliters of tea.
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Which statements are true? Select all that apply.
A) The equation |-x - 4| = 8 will have two solutions.
B) The equation 3.4|0.5x - 42.1| = -20.6 will have one solution.
C) The equation |1/2x - 3/4| = 0 will have no solutions.
D) The equation |2x - 10| = -20 will have two solutions.
E) The equation |0.5x - 0.75| + 4.6 = 0.25 will have no solutions.
F) The equation |1/8x - 1| = 5 will have infinitely many solutions.
Answer:
The following statements are true:
A) The equation |-x - 4| = 8 will have two solutions.
D) The equation |2x - 10| = -20 will have two solutions.
E) The equation |0.5x - 0.75| + 4.6 = 0.25 will have no solutions.
The other statements are not true. The equation 3.4|0.5x - 42.1| = -20.6 will not have one solution, as the absolute value of a number cannot be negative. The equation |1/2x - 3/4| = 0 will not have no solutions, as the absolute value of a number cannot be zero. The equation |1/8x - 1| = 5 will not have infinitely many solutions, as the absolute value of a number cannot be negative.
Step-by-step explanation:
Here’s a box plot that summarizes how many eggs Corey’s chickens laid last week. 0 2 4 6 8 10 12 find the interquartile range (iqr) of the data
The value of interquartile range (IQR) of the data set which is plotted in the dot plot 0 2 4 6 8 10 12 is 6
What is the interquartile range (IQR) of the data?
The interquartile range (IQR) of the data is the middle half of the data, which contains 2nd and 3rd quartiles.
Interquartile range is the difference of third quartile and first quartile.
IQR = Q₃ - Q₁
According to the given question:
In the dot plot below, the data is given as,
0 2 4 6 8 10 12
The first quartile is the medium of the lower half, while the third quartile is the medium of the upper half. For the above data,
Q1 = 3
Q3 = 9
Thus, Interquartile range is,
IQR = Q₃ - Q₁
IQR = 9 - 3
IQR = 6
Hence, the value of interquartile range (IQR) of the data set which is plotted in the dot plot 0 2 4 6 8 10 12 is 6
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An electric company foreman is recording the width of various types of electrical wire available. Which of the following displays could be used to represent the data, and why?
Bar chart; because wire width is categorical
Bar chart; because wire width is numerical
Box plot; because wire width is categorical
Box plot; because wire width is numerical
Answer:
box plot becauase wire width is numerical :)
Step-by-step explanation:
find the missing length indicated multiple choice
Answer:
? = 6
Step-by-step explanation:
given a line parallel to a side of a triangle and intersecting the other 2 sides , then it divides those sides proportionally , that is
[tex]\frac{?}{15}[/tex] = [tex]\frac{4}{14-4}[/tex] = [tex]\frac{4}{10}[/tex] ( cross- multiply )
10? = 15 × 4 = 60 ( divide both sides by 10 )
? = 6
The quadratic equation x2+20x+60=0
can be rewritten as the equation below, where p
and q
are constants.
(x−p)2=q
What is the value of p
?
By completing squares in the quadratic equation, we can see that the values of p and q are:
p = -10
q = 40
How to rewrite the quadratic equation?Here we want to complete squares for the following quadratic equation:
x^2+20x+60=0
Remember that the perfect square trinomial is:
(a + b)^2 = a^2 + 2ab + b^2
So we can rewrite our equation as:
x^2 + 2*10*x + 60 = 0
If we add and subtract 10^2 = 100 we will get:
x^2 + 2*10*x + 10^2 - 10^2 + 60 = 0
(x^2 + 2*10*x + 100) - 100 + 60 = 0
(x + 10)^2 - 40 = 0
(x + 10)^2 = 40
So the value of p is p = -10 (the negative sign comes because in the given equation p is being subtracted) adnt he value of q is q = 40.
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The system of conics has two solutions.
What are the solutions to this system of conics?
The points of intersection of the system formed by the circle (x - 2)² + (y - 3)² = 16 and the ellipse (x - 2)² / 16 + (y - 3)² / 64 = 1 are (x₁, y₁) = (- 2, 3) and (x₂, y₂) = (6, 3).
How to determine the points of intersection between two conics
Herein we get a system formed by two conics, the former represents a circle and the latter represents an ellipse. There are different methods to solve the system, the use of graphing tools offers a quick though reasonable approach to find that. First, write the equations corresponding to the conics:
Circle
(x - 2)² + (y - 3)² = 16
Ellipse
(x - 2)² / 16 + (y - 3)² / 64 = 1
Second, plot the two graphs of the functions. (Please see the image attached below)
Third, write the points of intersection:
(x₁, y₁) = (- 2, 3), (x₂, y₂) = (6, 3)
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ASAP! If a certain cannon is fired from a height of 8.1 meters above the ground, at a certain angle, the height of the cannonball above the ground, h, in meters, at time, t, in seconds, is found by the function h(t) = -4.9t^2. + 27.5t + 8.1. Find the time it takes for the cannonball to strike the ground.
The cannonball will strike the ground after about [] seconds.
(Type an integer or a decimal. Round to the nearest hundredth as needed.)
The time it takes for the cannonball to strike the ground if a certain cannon is fired from a height of 8.1 meters above the ground, at a certain angle, the height of the cannonball above the ground, h, in meters, at the time, t, in seconds, is found by the function h(t) =-4.9 t² + 27.5t + 8.1 is 5.612 seconds.
What is velocity?A vector measure of movement's speed and direction is called velocity. Simply described, velocity is the rate of movement in a specific direction.
Given:
The height of the cannon = 8.1 m
The height equation, h = -4.9 t² + 27.5t + 8.1
Calculate the time by putting the value of height in the equation as shown below,
h = (-4.9 t² + 27.5t + 8.1)
8.1 = (-4.9 t² + 27.5t + 8.1)
-4.9 t² + 27.5t = 0
Solve the quadratic equation,
t = 5.61224 sec
Therefore, the time it takes for the cannonball to strike the ground if a certain cannon is fired from a height of 8.1 meters above the ground, at a certain angle, the height of the cannonball above the ground, h, in meters, at the time, t, in seconds, is found by the function h(t) =-4.9 t² + 27.5t + 8.1 is 5.612 seconds.
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A middle school is having a fundraiser. Edwin wants to buy two candles for $5.95 each, three cans of candy for $2.50 each, and an ornament for $7.95.
Answer:
$27.35
Step-by-step explanation:
To solve this, we just set up an equation based on the situation given:
2 candles for 5.95 each would be (2 x 5.95)
3 cans of candy for 2.50 each would be (3 x 2.50)
1 ornament for 7.95 would just be 7.95
(2 x 5.95) + (3 x 2.50) + 7.95 = total cost
11.90 + 7.50 + 7.95 = total cost
$27.35 = total cost
State whether True or False.
(a) All rectangles are squares
(b) All rhombuses are parallelograms
(c) All squares are rhombuses and also rectangles
(d) All squares are not parallelograms (e) All kites are rhombuses
(f) All rhombuses are kites (g) All parallelograms are trapeziums
(h) All squares are trapeziums
All rectangles are square is a false statement
The given statement is false statement.
What is a rectangle and square?
A rectangle is a quadrilateral with opposite sides parallel and equal and each angle is a right angle, where as a square is quadrilateral with opposite sides parallel and each side is equal. and every angle is a right angle.
We are given a statement All rectangle are squares.
As every side of a square is of equal length And only opposite sides are of equal length in rectangle
All rectangles are not square
Hence the statement is not true
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a non-for-profit consumer agency wanted to investigate the economic and humanitarian contribution of this country's pharmaceutical companies by sampling large companies and businesses of all types. it was decided to sample the pharmaceutical companies first. after surveying the pharmaceutical companies, someone at the consumer agency wanted to distribute the data early. what, if any, will be the most noticeable bias in distributing the survey at this point in time?
Under coverage of the population will be the most noticeable bias in distributing the survey at his point in time.
Undercoverage bias happens when segments of the target population are entirely executed or loses represented in the sample than they are in the population. This means that these segments are executes from the sampling process. Non response bias occurs when parts of the sampled population are unable or refuse to respond.
Undercoverage occurs when an element of the target population is not represented on the survey frame and therefore not given any chance of selection in the survey sample; that is the element has zero probability of selection into the sample. It refers to a type of sampling bias that occurs when a piece of information from your sample responses goes missing or uncovered in the results. This significant entity goes unselected or has zero chance of getting in your representing sample.
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