Answer:
$1.25
Step-by-step explanation:
10-2.50=7.5
7.5/6=1.25
hope this helps :3
Answer: $1.25
Step-by-step explanation:
10-total
(1 notebook)-2.50, 6 pens
10-2.50=7.50
7.50/6(pens)=1.25
Part C
What is the difference of the x-coordinate of point A and the x-coordinate of point B?
Answer:
do u have a graph
Step-by-step explanation:
John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes,
Approximate Value Exact Value Error Absolute Error Ratio Percent Error
$100
$75
$25
How much was the absolute error in his estimate?
$
Intro
Answer:
Absolute error = $25
Step-by-step explanation:
Given that:
Amount spent by John on shopping trip = $75
Estimated amount to spent on shopping trip = $100
Absolute error = Approximate value - Exact value
Here,
Approximate value = $100
Exact value = $75
Absolute error = 100 - 75
Absolute error = $25
Percentage = \(\frac{Absolute\ error}{Exact\ value}*100\)
Percentage = \(\frac{25}{75}*100\)
Percentage = 33.33%
Hence,
Absolute error = $25
A. 3 (x + 2) = 18
B. x + 2 = 6
1) How can we get Equation B from Equation A?
Choose 1 answer:
(Choice A) Add/subtract the same quantity to/from both sides
(Choice B) Add/subtract a quantity to/from only one side
(Choice C) Multiply/divide both sides by the same non-zero constant
(Choice D) Multiply/divide only one side by a non-zero constant
Answer:
c
Step-by-step explanation:
Runners at a cross-country meet run 2 miles south and then 4 miles west from the starting line. Determine the shortest straight path they must run to get back to the
tarting line.
06 miles
√6 miles
O√12 miles
√20 miles
hello hope you are having a good day
the answer to your question would be A 6 miles i took the test and got an 100% also asked the teacher.
Help fast it is math and really fast need help
Given:
The table of value and y is inversely proportional to square of x.
To find:
The value of c and d.
Solution:
It is given that y is inversely proportional to square of x. So,
\(y\propto \dfrac{1}{x^2}\)
\(y=k\dfrac{1}{x^2}\) ...(i)
Where, k is the contant of proportionality.
From the given table it is clear that \(y=4\) and \(x=3\). Putting these values in (i), we get
\(4=k\dfrac{1}{3^2}\)
\(4=\dfrac{k}{9}\)
\(4\times 9=k\)
\(36=k\)
Putting \(k=36\) in (i), we get
\(y=36\dfrac{1}{x^2}\)
\(y=\dfrac{36}{x^2}\) ...(ii)
Putting \(x=5,y=c\) in (ii), we get
\(c=\dfrac{36}{(5)^2}\)
\(c=\dfrac{36}{25}\)
Putting \(x=d,y=2\) in (ii), we get
\(2=\dfrac{36}{d^2}\)
\(d^2=\dfrac{36}{2}\)
\(d^2=18\)
Taking square root on both sides, we get
\(d=\pm \sqrt{18}\)
\(d=\pm 3\sqrt{2}\)
Therefore, the required values are \(c=\dfrac{36}{25}\) and \(d=\pm 3\sqrt{2}\).
Answer:
8.238
Step-by-step explanation:
it might not be right, but it was not fast either XDDD
dang, i took to long to tell u
:)
30. In the figure below, rectangle ABCD shares CD with ACDE,
diagonal BD of the rectangle extends in a straight line
beyond D to E to create DE, and the measure of CDE is
155°.
What is the measure of ZCBD?
F. 25
G.55
H.65
J.90
K.155
The measure of angle ZCBD is 90°. Therefore, the correct option is J. 90.
To find the measure of angle ZCBD, we need to examine the given information.
From the figure, we know that angle CDE is 155°.
Since the opposite angles of a rectangle are congruent, angle BCD is also 155°.
In a rectangle, the sum of the interior angles at a vertex is always 90°.
Therefore, angle CBD is 90°.
Hence, the measure of angle ZCBD is 90°.
Therefore, the correct option is J. 90.
for such more question on measure of angle
https://brainly.com/question/25716982
#SPJ8
PLEASEEE HELPPPPPPPPPPPPPPPPPP
Answer:
coordinate is 3rd or -;- coordinates
Points A, B, and C are midpoints of the sides of right triangle DEF. Triangle A B C is inside triangle D E F. Point A is the midpoint of side F D, point B is the midpoint of side D E, point C is the midpoint of side F E. Angles D F E and A B C are right angles. The length of D E is 10 centimeters, the length of F D is 6 centimeters, and the length of F E is 8 centimeters. Which statements are true? Select three options. (The formula for the area of a triangle is A = One-halfbh.)
Complete question:
Points A, B, and C are midpoints of the sides of right triangle DEF. Triangle A B C is inside triangle D E F. Point A is the midpoint of side F D, point B is the midpoint of side D E, point C is the midpoint of side F E. Angles D F E and A B C are right angles. The length of D E is 10 centimeters, the length of F D is 6 centimeters, and the length of F E is 8 centimeters. Which statements are true? Select three options. (The formula for the area of a triangle is A = One-halfbh.)
BC = 6 cm AC = 5 cm BA = 4 cm The perimeter of triangle ABC = 12 cm. The area of triangle ABC is One-third the area of triangle DEF.Answer:
2. A-C = 5 cm
3. B-A = 4 cm
4. The perimeter of triangle A-B-C = 12 cm.
Step-by-step explanation:
First, picture a triangle formed by points D-E-F.
Side F-D = 6 centimetersSide D-E = 10 centimetersSide F-E = 8 centimetersNow,
the midpoint of side F-D is A ⇒ 6/2 = 3cmthe midpoint of side D-E is B ⇒ 10/2 = 5cmthe midpoint of side F-E is C ⇒ 8/2 = 4cmThese values suggest that
Side F-A ⇒ 3 cm = Side B-C ⇒ 3cmSide E-B ⇒ 5 cm = Side A-C ⇒ 5cmSide F-C = E-C ⇒ 4cm = Side A-B ⇒ 4cmThe perimeter of the interior triangle ABC = 3cm + 5cm + 4cm = 12 cm
The total area of the interior triangle ABC is 1/4 the area of triangle DEF. You can see in the picture that there are four equal triangles inside DEF.
Answer:
B C and D
Step-by-step explanation:
right on edge
2 less than the square of a number
. the 49th parallel that separates the united states and canada is an example of what type of border?
The 49th parallel that separates the united states and Canada is an example of Antecedent border.
An antecedent border is one that existed before to the development of the cultural landscape and persisted even after inhabitants came in to occupy the surrounding region.A political border that existed before the area was occupied by the existing residents is known as an antecedent boundary. For instance, the colonists drew the border between the USA and Canada before they settled North America.Relict boundaries are historical boundaries that have been removed for political reasons but are still visible in the cultural environment. The majority of European borders are afterwards drawn, and we can see how well each one complies with major or minor divisions of natural and cultural areas.Thus this is the meaning Antecedent border.
Refer here to learn more about border: https://brainly.com/question/672409
#SPJ4
Evaluate.
781
1.8
2.10
3.11
4.9
Answer:
9 is the answer u are looking for square root
find the indicates values
find x
Answer:
15
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that's complementary to the third interior angle
5x - 3 + 4x - 2 = 10x - 20 add like terms
9x - 5 = 10x - 20
- 5 + 20 = 10x - 9x
15 = x
please help i will give brianliest to whoever is correct!!
Answer:
D
Step-by-step explanation:
every other answer makes no sense because it's either adding or subtracting normally therefore it has to be D that uses proportion
(a) The complex conjugate of \( 2+7 i \) is \( \overline{2+7 i}= \) (b) \( (2+7 i)(\overline{2+7 i})= \) X Your answer cannot be understood or graded. More Infor
The complex conjugate of 2 + 7i is 2 - 7i.
The complex conjugate of a complex number a + bi is obtained by changing the sign of the imaginary part. In this case, the given complex number is 2 + 7i. To find its complex conjugate, we simply change the sign of the imaginary part, resulting in 2 - 7i.
2 + 7i is a complex number with a real part of 2 and an imaginary part of 7i. The complex conjugate, 2 - 7i, has the same real part but a negated imaginary part.
The complex conjugate is useful in various mathematical operations, such as finding the modulus or magnitude of a complex number, simplifying complex expressions, and dividing complex numbers.
To know more about complex conjugates, refer here:
https://brainly.com/question/30466260#
#SPJ11
When observations are drawn at random from a population with finite mean μ, the Law of Large Numbers tells us that as the number of observations increases, the mean of the observed values
A. gets larger and larger.
B. fluctuates steadily between one standard deviation above and one standard deviation below the mean.
C.gets smaller and smaller.
D. tends to get closer and closer to the population mean μ.
D. tends to get closer and closer to the population mean μ.
The Law of Large Numbers states that as the sample size increases, the sample mean will approach the population mean. In other words, the more data we have, the more accurate our estimate of the true population mean will be. This is an important concept in statistics and probability theory, and it underlies many statistical methods and techniques.
To know more about probability refer here:
https://brainly.com/question/30034780
#SPJ11
Jon caught four fish that weighed a total of 264 pounds. The kingfish weighed twice as much as the
amberjack and the white marlin weighed twice as much as the kingfish. The weight of the tarpon was 5
times the weight of the amberjack.
How much did each fish weigh?
Answer:
Amber jack 22 pounds
Tarpon 110 pounds
King fish = 44 pounds
White Marlin = 88 pounds
Step-by-step explanation:
Let the weight of the amber jack be x pounds
Kingfish weighed twice as much = 2 * x = 2x pounds
White Marlin weighed 2 times kingfish
= 2x * 2 = 4x pounds
Tarpon weighs 5 times amber jack = 5 * x = 5x
Add all together to give 264
5x + 4x + 2x + x = 264
12x = 264
x = 264/12
x = 22 pounds
Hence ;
Amberjack weighs 22 pounds
Tarpon = 5 * 22 = 110 pounds
Kingfish = 2 * 22 = 44 pounds
White Marlin = 2 times king fish = 2 * 44 = 88 pounds
The lengths of the three sides of a right triangle form a geometric sequence. The sine of the smallest of the angles in the triangle is
The sine of the smallest of the angles in the triangle is;
SinA = √{(√5 - 1)/2}.
What is geometric sequence?A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding terms. This ratio is regarded as one of the geometric sequence's common ratios.
In other words, each phrase in a geometric series is multiplied by the a constant to produce the following term. Therefore, a geometric series has the formula a, ar, ar², where an is the initial term as well as r is the sequence's common ratio. Either one positive or negative integer can be used to describe the common ratio.Now, according to the question;
Consider right angled triangle ΔABC ; right angled at C.
The side opposite to each vertices A,B,C are a, b, c respectively.
Thus, by Pythagorean theorem,
a² + b² = c² (equation 1)
By geometric sequence;
a² = bc (say);
Also, a/c = √(b/c)
substitute in equation 1
b² + bc - c² = 0
Divide equation by c².
b²/c² + b/c - 1 = 0 (equation 2)
Consider vertex B.
The sine of angle B; sinB = Perpendicular/Hypotenuse
SinB = b/c = t (say)
Substitute b/c by t in equation 2
t² + t -1 = 0
Calculate the roots of the equation by quadratic formula;
t = (√5 - 1)/2 and (-√5 - 1)/2 (negative value is not possible for side)
Thus, t = (√5 - 1)/2
Also SinA = a/c = √(b/c)
SinA = √{(√5 - 1)/2}
Therefore, the sine of the smallest of the angles in the triangle is;
SinA = √{(√5 - 1)/2}.
To know more about geometric sequence, here
https://brainly.com/question/1662572
#SPJ4
When graphing the solution of an inequality on a number line, you will see either an open or closed circle and a part of the line shaded.
Part A:
Describe what an open circle represents and when you would use it.
Part B:
Describe what a closed circle represents and when you would use it.
Part C:
Describe what the shading on the number line represents.
Part A: An open circle on a number line represents an excluded value, indicating that the endpoint is not included in the solution set of the inequality. It is used when the inequality includes the symbols < (less than) or > (greater than), which denote strict inequality.
Part B: A closed circle on a number line represents an included value, indicating that the endpoint is part of the solution set of the inequality. It is used when the inequality includes the symbols ≤ (less than or equal to) or ≥ (greater than or equal to), which denote inclusive inequality.
Part C: The shading on the number line represents the range of values that satisfy the given inequality. It indicates which values make the inequality true. Typically, the shading is done to the right or left of the circle(s) depending on whether the inequality is greater than or less than.
Part A:
For example, if we have the inequality x > 2, we would represent it with an open circle at 2 on the number line. This means that 2 itself is not a valid solution, but any value greater than 2 is included.
Part B:
For example, if we have the inequality x ≥ -3, we would represent it with a closed circle at -3 on the number line. This means that -3 itself is a valid solution, as well as any value greater than or equal to -3.
Part C:
For example, if we have the inequality x > 2, we would shade the portion of the number line to the right of the open circle at 2. The shaded region represents all the values greater than 2 that satisfy the inequality. The shading visually illustrates the solution set and helps identify the range of valid values for the variable in the given inequality.
for more such questions on number line
https://brainly.com/question/24644930
#SPJ8
Find the area of the parallelogram and then use that to find h. The parallelogram is the figure made with the solid lines.
Answer: 42
Step-by-step explanation: you have to add 9 18 and 15.
Choose a coefficient b that makes this system singular. Then choose a right side g that makes it solvable. Find two solutions in that singular case.
2x + by =16
4x + 8y = g.
To make the system singular, we need the coefficient of one of the variables to be a multiple of the coefficient of the same variable in the other equation. Let's choose b = 4, which makes the first equation a multiple of the second:
2x + 4y = 16
4x + 8y = g
To make the system solvable, we need the two equations to not be parallel, which means the slopes must be different. Let's choose g = 32, which gives the second equation a slope of 1/2:
2x + 4y = 16
4x + 8y = 32
We can solve this system using substitution or elimination. Let's use elimination:
-2(2x + 4y = 16) -> -4x - 8y = -32
4x + 8y = 32
0 = 0
We see that the last equation is always true, which means the system has infinitely many solutions. We can find two solutions by setting x = 0 and solving for y:
2(0) + 4y = 16
y = 4
So one solution is (0,4). Now let's set y = 0 and solve for x:
2x + 4(0) = 16
x = 8
So another solution is (8,0).
To know more about coefficient, visit: brainly.com/question/28975079
#SPJ4
What is the least common multiple if 12 and 9?
To find the least common multiple (LCM) of 12 and 9, we can list their multiples and find the smallest multiple they have in common:
Multiples of 12: 12, 24, 36, 48, 60, ...
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, ...
We can see that the smallest multiple they have in common is 36. Therefore, the LCM of 12 and 9 is 36.
Alternatively, we can use the prime factorization method to find the LCM:
Prime factorization of 12: 2^2 x 3
Prime factorization of 9: 3^2
To find the LCM, we need to take the highest power of each prime factor that appears in either number. In this case, the highest power of 2 is 2^2, and the highest power of 3 is 3^2. Therefore, the LCM of 12 and 9 is 2^2 x 3^2 = 36.
Answer:
The least common multiple of 12 and 9 is 36.
Step-by-step explanation:
The multiples of 12 are: 12, 24, 36, 48, 60, ...
The multiples of 9 are: 9, 18, 27, 36, 45, 54, 63, ...
The least common multiple is the smallest number that both lists share, which is 36.
How many paths are there from $A$ to $B,$ if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through $B,$ as long as you end up at the point $B.$) [asy] unitsize(1.5 cm); draw((0,0)--dir(60)--(1,0)); draw((0,0)--(1,0)); draw((0,0)--dir(-60)--(1,0)); label("$A$", (0,0), W); label("$B$", (1,0), E); [/asy]
Answer:
There are $\boxed{3}$ paths from $A$ to $B.$
there are 5000 students at mountain high school, and 3/4 of these students are seniors. if 1/2 of the seniors are in favor of the school forming a debate team and 4/5 of the remaining students (not seniors) are also in favor of forming a debate team, how many students do not favor this idea?
According to the questions there are 5000 students at mountain high school, and 3/4 of these students are seniors. Then, 2125 students do not favor the idea of forming a debate team
To find the number of students who do not favor the idea of forming a debate team, we need to calculate the following:
Number of senior students: 3/4 * 5000 = 3750
Number of senior students in favor: 1/2 * 3750 = 1875
Number of non-senior students: 5000 - 3750 = 1250
Number of non-senior students in favor: 4/5 * 1250 = 1000
Number of students not in favor: Total students - (Senior students in favor + Non-senior students in favor)
Number of students not in favor: 5000 - (1875 + 1000) = 2125
Therefore, 2125 students do not favor the idea of forming a debate team.
To know more about favor visit -
brainly.com/question/14148820
#SPJ11
at the beginning of a story, a certain culture of bacteria has a population of 80. the population grows according to a continuous exponential growth model. after 14 days, there are 216 bacteria.
Given:
The population of the bacteria at the beginning = 80
the population grows according to a continuous exponential growth model.
after 14 days, there are 216 bacteria.
y = the number of bacteria after time t
So, the general relation between y and t will be:
\(y=a\cdot e^{bt}\)We need to find the values of a and b
At t = 0 y = 80
So,
\(\begin{gathered} 80=a\cdot e^0 \\ a=80 \end{gathered}\)When t = 14 , y = 216
So,
\(\begin{gathered} 216=80e^{14b} \\ \frac{216}{80}=e^{14b} \\ \text{2}.7=e^{14b} \\ \ln 2.7=14b \\ \text{0}.99325=14b \\ b=\frac{0.99325}{14}=0.071 \end{gathered}\)so, the function will be:
\(y=80\cdot e^{0.071t}\)Part b: we need to find the number of bacteria after 23 days
So, substitute with t = 23
so,
\(y=80\cdot e^{0.071\cdot23}=409\)so, after 23 days the number of bacteria = 409
Ace scored 3 baskets in his second game of the season. This was 2 less than his first game. What was the percent change between the two games? %
Answer:
2% different
Step-by-step explanation:
it is 2% different because if Ace scored 3 baskets in his scond game but it was 2 less then his first so which means his first game he scored 5
If you add the two equations 6x + 4y 46 and — 6x + 9y = 6 what do you get?
Answer:
13y = 52
Step-by-step explanation:
6x - 6x + 4y + 9y = (46 + 6)
6x - 6x + 4y + 9y = 52
0 + 4y + 9y = 52
0 + 13y = 52
13y = 52
(p.s. y = 4)
Which expression is equivalent to 2(3g-4) - (8g+3)?
Answer:
I think -2g+5
Step-by-step explanation:
its distributive property and adding... hope this helped
samantha and some friends go to a fair samantha spends 1/2 of her money on rides. she then spends $10 on food. At the end of the day, samantha has $1 remaining. how much money did samantha bring to the fair?
please add work :)
Answer:
$22
Step-by-step explanation:
If she spent 10 bucks and has 1 buck left, add it together and she has 11 bucks if she spent half of her money multiply by 2 and you get 22.
What are the 8 parallel lines?
Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.
What is answer parallel line?
In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical.
Parallel lines are two lines in the same plane that are equal distance apart and never intersect.
Real-world parallel line examples include railroad tracks, sidewalk edges, street markings, zebra crossings, the surface of pineapple and strawberry fruit, staircases and railings, and so on.
Parallel lines are lines in a plane that never meet, no matter how far they are extended. The distance between the parallel lines is constant because they never meet.
Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.
these are 8 parallel lines
2x+3y = 6
2x+3y = 4
2x+3y = 1
2x+3y = 2
2x+3y = 3
2x+3y = 8
2x+3y = 7
2x+3y = 5
learn more about of lines here
https://brainly.com/question/22224495
#SPJ4
A person swims 6.4 meters per second north while being pushed by a current moving west at 2.1 meters per second. What is the direction of the swimmer's resultant vector? Hint: Draw a vector diagram. Ө 0 = [ ? ]° Round your answer to the nearest hundredth.
Answer:
The swimmer's resultant vector can be found by drawing a right triangle with the northward velocity as one leg and the westward velocity as the other leg. The hypotenuse of this triangle represents the swimmer's resultant velocity. The angle Ө0 between the northward velocity and the resultant velocity can be found using the inverse tangent function: tan⁻¹(2.1/6.4) = 18.19°. So, the direction of the swimmer's resultant vector is 18.19° west of north.
Answer:
108.17° (nearest hundredth)
Step-by-step explanation:
In order to find the direction the person is swimming, we must find the direction of the resultant vector of the two vectors representing 6.4 m/s north and 2.1 m/s west, measured counterclockwise from the positive x-axis.
Since the two vectors form a right angle, we can use the tangent trigonometric ratio.
\(\boxed{\begin{minipage}{7 cm}\underline{Tangent trigonometric ratio} \\\\$ \tan x=\dfrac{O}{A}$\\\\where:\\ \phantom{ww}$\bullet$ $x$ is the angle. \\ \phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle. \\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle.\\\end{minipage}}\)
The resultant vector is in quadrant II, since the swimmer is travelling north (positive y-direction) and is being pushed by a current moving west (negative x-direction).
As the direction of a resultant vector is measured in an anticlockwise direction from the positive x-axis (and the resultant vector is in quadrant II), we need to add 90° to the angle found using the tan ratio.
The angle between the y-axis and the resultant vector can be found using tan x = 2.1 / 6.4. Therefore, the expression for the direction of the resultant vector θ is:
\(\theta=90^{\circ}+\arctan \left(\dfrac{2.1}{6.4}\right)\)
\(\theta=90^{\circ}+18.1659565...^{\circ}\)
\(\theta=108.17^{\circ}\; \sf (nearest\;hundredth)\)
Therefore, the direction of the swimmer's resultant vector is approximately 108.17° (measured anticlockwise from the positive x-axis).
This can also be expressed as N 18.17° W.