Answer:
A
Step-by-step explanation:
First notice that the sing does not have a line under it so its an open circle then the line is pointing to right. Your Welcome
Alison's age is 10 more than half of Sam's age. Using S to represent Sam's age, write an expression that represents Alison's age.
a) 1/2(S+10)
b) 10-1/2S
c) S+1/2(10)
d)1/2S+10
Answer:
D
Step-by-step explanation:
Let's pretend to use 6 as Sam's age.
Six divided by two is three, plus ten is 13.
Now let's work it backwards.
"half of Sam's age"
S/2
"Alison's age is 10 more"
+10
Put these together and it's S/2+10.
A student is taking a true/false quiz with 16 questions. The student has not studied and has an equal chance of answering True or False on each question. What is probability that the student will answer at least 12 questions correctly?
Chance of success
0.03841 or 3.84%
Step-by-step explanation:
How many digits are there in the Hindu-Arabic form of 44,350•1019?
Answer:
25 digits
Step-by-step explanation:
add 5 digits in the 44,350 then add 20 digits from the 10^19 = 25 digits
7).
2. Hot Text: For each graph, choose the correct sentence to describe the graph.
The graph represents a proportional relationship.
The graph does not represent a proportional relationship.
a. The graph represents a proportional relationship.
b. The graph does not represent a proportional relationship.
c. The graph does not represent a proportional relationship.
d. The graph represents a proportional relationship.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:
y = kx.
Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.
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What is -6 (-4y + 8)
Answer:
24y-48
btw just downloaded a app called YHomework it shows the steps
Juan buys candy that costs $8 per pound. He will spend at least $48 on candy. What are the possible numbers of pounds he will buy?
Use p for the number of pounds Juan will buy.
Write your answer as an inequality solved for p.
In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).
How can these number be determined?Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.
From the question, p = number of pounds Juan will buy.
candy=costs $8 per pound
$20/$4 = 5 pounds
p>5
at least 5 pounds
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In circle O, secants ADB and AEC are drawn from external point A
such that points D, B, E, and C are on circle O. If AD = 8, AE = 6,
and EC is 12 more than BD, the length of BD is
(1) 6
(2) 22
(3) 36
(4) 48
The length of BD is 22.
In the given scenario, let's consider the following information.
AD = 8
AE = 6
EC is 12 more than BD.
To find the length of BD, we can utilize the Intercepted Arcs Theorem, which states that when two secants intersect outside a circle, the measure of an intercepted arc formed by those secants is equal to half the difference of the measures of the intercepted angles.
From the given information, we know that AD = 8 and AE = 6.
Since these are the lengths of the secants, we can use them to calculate the intercepted arcs.
First, let's find the intercepted arc corresponding to AD:
Intercepted Arc ADB = 2 \(\times\) AD = 2 \(\times\) 8 = 16
Similarly, we can find the intercepted arc corresponding to AE:
Intercepted Arc AEC = 2 \(\times\) AE = 2 \(\times\) 6 = 12
Now, we know that EC is 12 more than BD.
Let's assume the length of BD as x.
BD + 12 = EC
Now, let's consider the intercepted arcs theorem:
Intercepted Arc ADB - Intercepted Arc AEC = Intercepted Angle B - Intercepted Angle C
16 - 12 = Angle B - Angle C
4 = Angle B - Angle C.
Since Angle B and Angle C are vertical angles, they are congruent:
Angle B = Angle C.
Therefore, we can say:
4 = Angle B - Angle B
4 = 0
However, we have reached an inconsistency here.
The equation does not hold true, indicating that the given information is not consistent or there may be an error in the problem statement.
As a result, we cannot determine the length of BD based on the given information.
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look at the attachment
Answer:
5x-60 Is the answer .5*x =5x -(5*12)5x - 60.Manolo has a toy in the shape of a triangle pyramid If x=6" y=8" and z=10", what is the volume of the toy
Answer:480
Step-by-step explanation:
To find volume u need to multiply height * width * length
3 A line passes through the point (8,6) and has a slope of 3/2 Write an equation in slope-intercept form for this line.
Answer:
y = 3/2x - 6
Step-by-step explanation:
6 = 3/2(8) + b
6 = 24/2 + b
6 = 12 + b
b = -6
y = 3/2x - 6
Cylinders, 8th grade is hard amiright
Answer:
3799.4 in^3
Step-by-step explanation:
11^2 * 3.14 * 10
121 * 3.14 * 10
379.94 * 10
3799.4
2. Roman's allowance a week is P250.75. If he will save p50.00 and
equally divide the rest into 5, how much will he spend a day?
Answer:
50.15
Step-by-step explanation:
250.75-50=200.75
200.75/5=50.15
How do i do this pls help me
standard form (ax + by = c) to slope-intercept form (y = mx + b)
x-y= -8 (ANSWER?)
Answer:
y = x + 8
General Formulas and Concepts:
Algebra I
Equality PropertiesStep-by-step explanation:
Step 1: Define
Standard Form: x - y = -8
Step 2: Rewrite
Find slope-intercept form
Subtract x on both sides: -y = -x - 8Divide -1 on both sides: y = x + 8Help me pleaseeeeeeee
Answer:
x = 29°
y = 45°
Step-by-step explanation:
The given figure shows the intersection of plane S with a square pyramid.
Which shape depicts the cross-section?
OA.
D.
E
The cross section can be of these shapes square and triangle are; A, D
What is cross-segment ?A cross-segment is a plane segment that is a segment of a three-dimensional item that is parallel to one among its planes of symmetry or perpendicular to considered one of its traces of symmetry.
An instance of a go-segment would be a circle. A cross-section is seen whilst a 3-dimensional picture is reduce through a plane.
Then the case of the cone, a circular go-segment emerges while the cone is cut parallel with its base
The go-sectional region is the location of a 3-dimensional shape which is acquired whilst a three-dimensional object - inclusive of a cylinder - is sliced perpendicular to some designated axis at a point.
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PLS HELP! weights (in pounds) of catfish caught in the river: 4.8 3 2.7 4.4 4.8 9.9 What is the outlier? A) 3 lbs B) 4.8 lbs C) 9.9 lbs D) none
The correct answer is C) 9.9 lbs as it is above the upper boundary 6.4865, it is the outlier in this dataset.
What is an outlier?An outlier is an observation that is much higher or lower than the other observations in a dataset.
In this case, the weights of the catfish range from 2.7 to 4.8 lbs, with one observation that is much higher at 9.9 lbs.
Therefore, 9.9 lbs is the outlier in this dataset.
To find the outlier in this dataset, we can calculate the interquartile range (IQR).
This is done by first calculating the first quartile (Q1) and third quartile (Q3).
The Q1 for this dataset =3.75
and the Q3= 4.675.
IQR= Q3 - Q1
= 0.925.
We then calculate the lower boundary as Q1 - (1.5 x IQR) = 2.3625.
The upper boundary is Q3 + (1.5 x IQR)= 6.4865.
Since 9.9 lbs is above this upper boundary, it is the outlier in this dataset.
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What is the 36th derivative of f(x)=cos2x?
The 36th derivative of f(x) = cos(2x) is \(2^{17}\)* cos(2x).
To find the 36th derivative of the function f(x) = cos(2x), we can apply the chain rule repeatedly. The chain rule states that if we have a composite function y = f(g(x)), then its derivative is given by dy/dx = f'(g(x)) * g'(x).
Let's start by finding the first few derivatives of f(x) = cos(2x):
f'(x) = -2sin(2x)
f''(x) = -4cos(2x)
f'''(x) = 8sin(2x)
f''''(x) = 16cos(2x)
We observe a pattern where the derivatives of cos(2x) alternate between sin(2x) and cos(2x), with the signs changing accordingly.
Based on this pattern, we can see that the 36th derivative will be:
f^(36)(x) =\((-1)^{17} * 2^{17} *\) cos(2x)
Simplifying this expression, we have:
f^(36)(x) = \(2^{17} * cos(2x)\)
Therefore, the 36th derivative of f(x) = cos(2x) is\(2^{17\) * cos(2x).
It's important to note that in this case, the number 36 is even, and since the derivatives of cos(2x) follow a repeating pattern every 4 derivatives, the sign (-1) raised to the power of 17 accounts for the change in sign in the 36th derivative.
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!!!HELP PLS!!
Sam wants to attend a 2-year technical college that charges about $3,200 a year. His grandparents said they will
give him half the cost of the tuition each year. Sam wants to save money while working at his summer job for
the next five years. How much money will he have to save each summer to have enough money for his first
year's college tuition?
Answer:
$320
Step-by-step explanation:
Given parameters:
Cost of attending the 2-year technical college = $3200;
His parents intend to give him half the cost;
Half the cost = \(\frac{1}{2}\) x $3200 = $1600
The remaining cost = $3200 - $1600 = $1600
Sam has 5yrs to work every summer;
He must save: \(\frac{1600}{5}\) = $320 every summer for the next five years to afford his first year tuition
Help me check all that apply.
Answer:
Positive association, outlier, and cluster
Step-by-step explanation:
Positive association because points go up, outliers are at the end of graph, cluster is at the end as well.
Divide (6x3y2 + 12x2y - 8xy) by (2xy)
Answer:
Step-by-step explanation:
6x³y² = 2 * 3 * x³ * y²
12x²y = 2 *3 * 2 * x² * y
8xy = 2 * 2 * 2 *x * y
GCF = 2xy
6x³y² + 12x²y - 8xy = (2xy * 3x²y) + (2xy * 6x) - (2xy * 4)
= 2xy *(3x²y + 6x - 4)
\(\dfrac{6x^{3}y^{2}+12x^{2}y-8xy}{2xy}=\dfrac{2xy*(3x^{2}y+6x-4)}{2xy}\\\\\\= 3x^{2}y + 6x - 4\)
can u pls help me with
Answer:
\(If \: d \: represents \: the \: distance \: Moby \: travels, \: one \: way \: to \: write \: a \: proportion \: for \: this \: situation \: is \: \\ \frac{240}{4} = \frac{d}{10} \)
\(Using \: cross \: multiplication \: gives \: us \: a \: new \: equation: \\ 2400 = 4d\)
\(The \: final \: step \: is \: to \: divide \: by \: 4, \: which \: tells \: us \: that \: Moby \: can \: travel \: 600 \: miles \: in \: 10 \: hours\)
Explanation:
Solve.
\( \frac{240}{4} = \frac{d}{10} \\ \\ \frac{4d}{4} = \frac{2400}{4} \\ \\ d = 600 \)
5. A simple random sample is defined by
(A) the method of selection
(B) how representative the sample is of the population
(C) whether or not a random number generator is used
(D) the assignment of different numbers associated with the outcomes of some
chance situation
(E) examination of the outcome
Answer:
b. because if there is a bigger population the sample will be more random
What is the intermediate step in the form (x+a)^2 =b as a result of completing the square for the following equation?
Given the equation:
\(-5x^2-90x=-555\)We will make a complete square to write the equation as the form (x+a)² = b
So, the steps will be as follows:
1) divide the equation by (-5) to make the coefficient of x²=1
\(\begin{gathered} \frac{-5x^2}{-5}+\frac{-90x}{-5}=\frac{-555}{-5} \\ \\ x^2+18x=111 \end{gathered}\)2) we will add a number = (18/2)² to both sides to complete the square
so,
\(\begin{gathered} x^2+18x+(\frac{18}{2})^2=111+(\frac{18}{2})^2 \\ x^2+18x+81=111+81 \\ \\ x^2+18x+81=192 \end{gathered}\)3) factor the left-side
\((x+9)^2=192\)So, the answer will be:
\((x+9)^2=192\)3.) If a search engine on the internet can return 2.87 x 10 results in one second, how many
results can be expected after one minute?
Answer:
You can expect 1,722 results in one minute.
Step-by-step explanation:
Expand the following expression: 4 (2k + j)
Answer:
4(2k + j) = 8k + 4j
Step-by-step explanation:
4(2k + j)
Distribute in the 4.
4 * 2k + 4 * j
Multiply 4 and 2k.
8k + 4 * j
Multiply 4 and j.
8k + 4j
Answer:
\(\boxed{\sf{8k+4j}}\)Step-by-step explanation:
Use the distributive property.
Distributive property:
⇒ A(B+C)=AB+AC
4(2k+j)First, multiply by expand.
→ 4*2k=8k
→ 4*j=4j
Rewrite the problem down.
= 8k+4j
\(\Longrightarrow: \boxed{\sf{8k+4j}}\)
Therefore, the correct answer is 8k+4j.I hope this helps! Let me know if you have any questions.
Solve for θ if −10sinθ−8=5√3−8 and 0≤θ<2π.
The value of variable θ would be,
⇒ θ = 5π/3 and θ = 4π/3
We have to given that;
Expression is,
⇒ - 10sin θ - 8 = 5√3 - 8
Now, We can simplify as;
⇒ - 10sin θ - 8 = 5√3 - 8
⇒ - 10sin θ = 5√3
⇒ sin θ = - 5√3/10
⇒ sin θ = - √3/2
We know that sinθ = -√3/2 when θ = 4π/3 and θ = 5π/3 (among other angles).
However, since 0 ≤ θ < 2π, only the angles in the second and third quadrants are valid solutions for sinθ = -√3/2.
Therefore, the solutions are θ = 5π/3 and θ = 4π/3, option D is correct.
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an academic department has just completed voting by secret ballot for a department head. the ballot box contains four slips with votes for candidate a and three slips with votes for candidate (a) List all possible outcomes. This answer has not been graded yet. (b) Suppose a running tally is kept as slips are removed.
Therefore , the solution of the given problem of probability comes out to be AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)
What is probability?The primary objective of statistical inference, a branch of mathematics, is to determine the chance that a claim is true or that a specific event will occur. Chance can be represented by any number between 0 and 1, in which 1 typically represents certainty and 0 typically represents possibility. A probability diagram shows the chance that a specific event will occur.
Here,
(a) The voting box contains a total of seven slips, four of which are for candidate A and three for candidate B. Thus, there are 35 events that can occur from 7 choose 4 (or 7 choose 3) options.
Each vote can be represented by a letter, with A standing for a vote for candidate A and B for candidate B, so that all outcomes can be listed. These are the potential results:
AAAA
AAAB
AABA
ABAA
BAAA
AABB
ABAB
BABA
BBAA
ABBB
BABB
BBAB
BBBA
(b)
For instance, the following results could occur if the slips were removed in the following order:
A (1 vote for contender A) (1 vote for candidate A)
AA (2 ballots for candidate A) (2 votes for candidate A)
AAB (2 ballots for candidate A, 1 vote for candidate B) (2 votes for candidate A, 1 vote for candidate B)
AAAB (3 ballots for candidate A, 1 vote for candidate B) (3 votes for candidate A, 1 vote for candidate B)
AAAAB (4 ballots for candidate A, 1 vote for candidate B) (4 votes for candidate A, 1 vote for candidate B)
AAAABB (4 ballots for candidate A, 2 votes for candidate B) (4 votes for candidate A, 2 votes for candidate B)
AAAABBB (4 ballots for candidate A, 3 votes for candidate B) (4 votes for candidate A, 3 votes for candidate B)
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Pls answer today and fast!!!! Use the tools below to make a triangle with angle measures or 60 degrees, 40 degrees, and 80 degrees.
An angle is a geometric figure formed by two rays or line segments that share a common endpoint, called the vertex. Angles are measured in degrees or radians and are typically denoted by symbol ∠ followed by the name of the vertex, like ∠ABC.
What is the Angle?The size of angle is determined by amount of rotation needed to bring one of rays or line segments into coincidence with others.
Angles can be acute (less than 90 degrees), right (exactly 90 degrees), obtuse (greater than 90 degrees but less than 180 degrees), straight (exactly 180 degrees), or reflex (greater than 180 degrees).
Angles are fundamental to geometry and have many applications in physics, engineering, and other fields.
This is because the sum of the angles in a triangle must always be 180°, and 40° + 60° + 80° = 180°.
However, the angles do not satisfy the conditions of the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Therefore, It is not possible to construct a triangle with angle measures of 40°, 60°, and 80°.
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(6.022∗1023) x 12.0/5.610*10cubed
given:
\((6.022\cdot10^{23})\times\frac{12}{5.610\cdot10^3}\)the result will be as following:
\(=\frac{6.022\cdot12}{5.610}\cdot\frac{10^{23}}{10^3}=12.88\cdot10^{23-3}=12.88\cdot10^{20}=1.288\cdot10^{21}\)Please help.
Is it no solution, one solution or infinitely many
Solution.