The required statment that is true is AC = 12 and BC = 10. Option A is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
A, B and C are Collinear and B lies between A & C.
AC = AB + BC
2x + 4 = 2 + x + 6
2x + 4 = x + 8
x = 4
Now,
AC = 8 + 4 = 12
BC = 4 + 6 = 10
Thus, the required statment that is true is AC = 12 and BC = 10. Option A is correct.
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What is the slope of a line that is perpendicular to the line
y=−4/5x + 7
Answer:Thats Just Notes To Right Down.
Step-by-step explanation:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 45 4 5 . The equation of a perpendicular line to y=4x5+7 y = 4 x 5 + 7 must have a slope that is the negative reciprocal of the original slope.
n an informal survey of students, 20 have dogs, 15 have cats, and five have both. one has only pet squirrel. how many people have only a pet cat
Answer:
10 people have just cats
Step-by-step explanation:
since 15 people have cats, but 5 people have both cats and dogs, you would do 15 (people who have cats) minus 5 (people who have dogs in addition to cats) gives u 10
Please help me I do not understand this
Pythagorean Theorem Determine the length of the missing side?
Answer:
c= sqrt149; 12.2 rounded
Step-by-step explanation:
Pythagorean Theorem to find c(hypotenuse): a^2+b^2=c^2
7^2+10^2=149
sqrt149= 12.2 rounded
please help quickly please
Given that in the above rectangle, m∠4 = 35°:
m∠1 = 35°:m∠2= 55°:m∠3 = 55°:m∠4 = 35°: - Givenm∠5 = 110°:m∠6 = 35°:m∠7 = 55°:m∠8 = 70°:To understand how the above were arrived at, you must understand the properties of a rectangle.
A rectangle is a four-sided flat shape with four right angles. Its properties include:
Four sides: A rectangle has four sides, two of which are parallel and of equal length, and the other two sides are also parallel and of equal length but different from the first two.
Four right angles: All four angles of a rectangle are right angles (90 degrees).
Opposite sides are parallel: The two pairs of opposite sides are parallel to each other.
Diagonals are equal: The diagonals of a rectangle bisect each other, which means they cut each other into two equal parts.
Equal opposite sides: The opposite sides of a rectangle are equal in length.
Equal adjacent sides: The adjacent sides of a rectangle are also equal in length.
Symmetry: A rectangle has two lines of symmetry, which means it can be divided into two equal parts by a line that passes through its center.
Area: The area of a rectangle is calculated by multiplying its length and width together.
Perimeter: The perimeter of a rectangle is calculated by adding the length of all four sides together.
So,
Note that ∠ABC = ∠BCD = ∠CDA = ∠DAC = 90°
This means that ∠BCA = 4 + 3 = 90°
Since m∠4 = 35°
m∠3 = 90 - 35°; therefore
m∠3 = 55°
This logic holds true for ∠ABC, and ∠6 where ∠6 =35° - Properties of a diagonal of a rectangle.
Note that m∠4 = m∠1 - Alternate angles thus,
∠1 = 35°
Since ∠4 = ∠6 = 35°
∠5 = 180 - (35 + 35) - Sum of Angles in a Triangle.
∠5 = 110°
There are other was to find ∠8 but the easiest is to use sum of angles on a straight line. Since ∠5 and ∠8 are supplementary,
m∠8 = 180 - 110 = 70°
Thus, if ∠8 = 70° and ∠3 = 55; then
m∠7 = 180 - (70 + 55) - Sum of Angles in a Triangle
m∠7 = 55°
Thus, in summary,
m∠1 = 35°:m∠2= 55°:m∠3 = 55°:m∠4 = 35°: -m∠5 = 110°:m∠6 = 35°:m∠7 = 55°:m∠8 = 70°.Learn more about rectangle at:
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solve for A'0 (A0−A0′)^−γ=βR(RA0′)^−γ
The solution for A'0 is as follows:
A'0 = (βR^(-1/γ) / (1 - R^(-1/γ)))^(1/γ)
We start with the equation (A0 - A0')^(-γ) = βR(RA0')^(-γ). To solve for A'0, we isolate it on one side of the equation.
First, we raise both sides to the power of -1/γ, which gives us (A0 - A0') = (βR(RA0'))^(1/γ).
Next, we rearrange the equation to isolate A'0 by subtracting A0 from both sides, resulting in -A0' = (βR(RA0'))^(1/γ) - A0.
Finally, we multiply both sides by -1, giving us A'0 = -((βR(RA0'))^(1/γ) - A0).
Simplifying further, we get A'0 = (βR^(-1/γ) / (1 - R^(-1/γ)))^(1/γ).
Complete question - Solve for A'0, given the equation (A0 - A0')^(-γ) = βR(RA0')^(-γ),
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Enter the correct letter to match each summation expression with the property or formula. N Σ i=1 cai is equal to . A n(n + 1)(2n + 1) 6 n Σ i=1 i is equal to . B n(n + 1) 2 n Σ i=1 c is equal to . C c n Σ i=1 ai n Σ i=1 i3 is equal to . D cn n Σ i=1 i2 is equal to
Answer:
\(\sum\limits_{i=1}^{n} c \cdot a_i \ is \ equal \ to \ c = \ c \cdot \sum\limits_{i=1}^{n} a_i\)
\(\sum\limits_{i=1}^{n} i \ is \ equal \ to \ b = \dfrac{n \cdot (n + 1)}{2}\)
\(\sum\limits_{i=1}^{n} c \ is \ equal \ to \ d = c \cdot n\)
\(\sum\limits_{i=1}^{n} i^3 \ is \ equal \ to \ e = \left [ \dfrac{n \cdot (n + 1)}{2} \right]^2\)
\(\sum\limits_{i=1}^{n} i^2 \ is \ equal \ to \ a = \dfrac{n \cdot (n + 1) \cdot (2 \cdot n + 1)}{6}\)
Step-by-step explanation:
1) The sum of a series of the cubes of numbers 'i' is given as follows;
Sₙ = n/2 × (1st term + Last term)
∴ Sₙ = n/2 × (1 + n) = n·(n + 1)/2
It can be shown that the sum of a series of the cubes of numbers 'i²' is given as follows;
Sₙ = (n·(n + 1)·(2·n + 1))/6
It can be also be shown that the sum of a series of the cubes of numbers 'i³' is given as follows;
Sₙ = (n·(n + 1)/2)²
Therefore, we have;
\(\sum\limits_{i=1}^{n} c \cdot a_i= c \cdot \sum\limits_{i=1}^{n} a_i = c\)
\(\sum\limits_{i=1}^{n} i = \dfrac{n \cdot (n + 1)}{2} = b\)
\(\sum\limits_{i=1}^{n} c = c \cdot n = d\)
\(\sum\limits_{i=1}^{n} i^3 = \left [ \dfrac{n \cdot (n + 1)}{2} \right]^2 = e\)
\(\sum\limits_{i=1}^{n} i^2 = \dfrac{n \cdot (n + 1) \cdot (2 \cdot n + 1)}{6} = a\).
Answer:
c, b, d, e, a
Step-by-step explanation:
HELP PLEASE
Marcus works at the grocery store. He earns 8.75 per hour. Last week he worked 6.5 hours. How much did Marcus make last week?
Suppose that NOP is isosceles with base.
Suppose also that and.
Find the degree measure of each angle in the triangle.
Step-by-step explanation:
In isocseles triangle, base angles are equal :
base angles are angle N and angle P:
angle N=angle P
3x+17=4x+2
4x-3x=17-2
x=15
For angle N:
subtitute x in angle N
=3(15)+17
=45+17
=62
For angle P:
subtitute x in angle P:
=4(15)+2
=60+2
=62
For angle O:
sum of all angles in a triangle is 180.
angle N +angle P+angle O=180
62+62+angle O=180
angle O=180-62-62
angle O=56
Note: if you have any question let me know about it. thanks
3 + 221 in 7-day clock arithmetic
Answer:
Sunday
Step-by-step explanation:
hello
3 corresponds to Wednesday
3+221 = 224 = 32*7+0
so 3+221 is 0 in 7 day clock arithmetic
0 corresponds to Sunday
hope this helps
Sam i an accountant. He find that he pend two-fifth of hi work day by anwering email. If he pent 3. 6 hour anwering email yeterday, how many hour did he work
Sam spent two-fifth of his work day by answering email. He works for 9 hours.
Steps to translate and solve a word problem using algebraic expressions:
- Assign the unknowns to variables
- Translate the word into operators plus, less, multiply, or division
- Isolate the unknown
In the given problem, let p is the variable to express the total hours Sam worked yesterday.
He spent two-fifth of hi work day by answering email = 2/5 p
He spent 3.6 hours answering email yesterday, means:
2/5 p = 3.6
p = 5 x 3.6/2 = 9 hours
Hence, Sam worked for 9 hours.
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PLEASE HALP FAST ILL GIVE BRAINLIESTTT
Answer:
no one is equivalent to it
For a normal distribution, the probability of a value being between a positive z-value and its population mean is the same as that of a value being between a negative z-value and its population mean.
For a normal distribution, the probability of a value being between a positive z-value and its population mean is indeed the same as that of a value being between a negative z-value and its population mean.
This is due to the symmetric nature of the normal distribution curve, where probabilities are mirrored around the mean.
The normal distribution is characterized by its bell-shaped curve, which is symmetric around the mean. The mean is also the midpoint of the curve, and the curve approaches but never touches the horizontal axis. The standard deviation of the distribution controls the spread of the curve.
In a normal distribution, the probability of a value being between a positive z-value and its population mean is indeed the same as that of a value being between a negative z-value and its population mean.
This is due to the symmetric nature of the normal distribution curve, where probabilities are mirrored around the mean.
This means that if we have a normal distribution with a mean of μ and a standard deviation of σ, the probability of a value falling between μ+zσ and μ is the same as the probability of a value falling between μ-zσ and μ.
This property of the normal distribution makes it easy to compute probabilities for any range of values, by transforming them into standard units using the z-score formula.
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3
2
f(x)
1 +
-4
-3
1
2
3
4
-2
-3
-4
What is the domain of f(x)? (1 point)
-3 SX<1
0-3
0-4
O -45y<2
Repost your question. Not readable.
Which situation is best described by this number line?
Answer:
B? I think itts B
Step-by-step explanation:
Denisa is saving for a new bicycle. The bicycle cost $89. So far, Denisa has earned $54 babysitting. What percent of the total cost of the bicycle has denisa already earned? round your answer to the nearest whole percent if necessary
how many times 24 could go into 164
Answer:
Step-by-step explanation:
ZERO
why does simple random sampling require a field (a list of all individuals in the population) and why does the requirement of a field make collecting a simple random sample difficult?
Commonly, research begins with a straightforward random sample. This enables them to statistically analyze a sample of people drawn from a bigger population or group in order to simulate the response of the complete group.
Why does a field (a list of every person in the population) need to be included in simple random sampling?) :-
- Simple random sample is the term used to describe a smaller portion of a bigger population. Each person in this area has an equal probability of being selected. For this reason, a straightforward random sample is intended to be impartial in its portrayal of the wider group. This approach typically has an error margin, which is denoted by a plus or minus variant. An example of a sampling error is this.
why does the requirement of a field make collecting a simple random sample difficult :-
- Only when a complete list of the entire population to be researched is available can a simple random sampling yield an accurate statistical measure of a big population. Consider a list of university students or a group of workers at a particular business.
The availability of these lists is the issue. Accessing the entire list can therefore be difficult. It's possible that some colleges or universities won't want to give researchers an exhaustive list of their faculty or students. Similar to this, some businesses might not be able or willing to provide information about particular employee groups due to privacy policies.
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Typically, research starts with a simple random sample. This gives them the ability to statistically assess a group or population sample taken from a larger one in order to imitate the response of the entire group.
Why does simple random sampling require a field (a list of every person in the population)?
A smaller subset of a larger population is referred to as a simple random sample. Everyone in this area has an equal chance of being chosen. Because of this, a simple random sample is meant to represent the larger group objectively. An plus or minus variant is used to indicate the approach's typical error margin. This is an illustration of a sampling inaccuracy.
Why is it difficult to gather a simple random sample because of a field's requirements:-
- A simple random sample cannot produce an appropriate statistical measure of a large population unless the entire population to be studied is accessible. Think of a list of college students or a team of employees at a specific company.
The problem is the accessibility of these lists. It may be challenging to access the complete list as a result. Some schools and universities might not wish to provide a complete list of their faculty or students to researchers. Similar to this, due to privacy policies, some businesses might not be able or willing to provide information about specific employee groups.
if a regular polygon has exterior angles that measure 40 each how many sides tdoes the polygon have
which tessellation uses more than one type of regular polygon?
Answer:
semi-regular tessellations
Step-by-step explanation:
2
3
6 7 8 9 10
Question
Set up and solve a system of equations to solve the problem.
A jar contains n nickels and d dimes. There are 20 coins in the jar, and the total value of
the coins is $1.30. How many nickels and how many dimes are in the jar?
The jar contains
nickels and
dimes.
9514 1404 393
Answer:
14 nickels6 dimesStep-by-step explanation:
The system of equations can be written ...
n + d = 20 . . . . . . . . coins in the jar
5n +10d = 130 . . . . . value in cents
_____
Using the first equation, we can write an expression for n:
n = 20 -d
We can substitute this into the second equation:
5(20 -d) +10d = 130
100 +5d = 130 . . . . . . simplify
5d = 30 . . . . . . . . . . . . subtract 100
d = 6 . . . . . . . . . . . . divide by 5
n = 20-d = 14
The jar contains 14 nickels and 6 dimes.
Please answer I need help no rush.
Answer:
12 divided by -6
Step-by-step explanation:
12÷(-6) (3) + (-2)
PEMDAS
P There are no operations inside the parentheses
E There are no exponents
MD Multiply and divide from left to right
12 divided by -6 is the first from left to right
A single number that estimates the value of an unknown parameter is called a _______ estimate.
Answer:
A single number that estimates the value of an unknown parameter is called a point estimate.
Step-by-step explanation:
Don't see the point (haha) of elaborating
Plz help me!
If you help you get a brainliest!
Answer:
C) x=11
Step-by-step explanation:
simplify $((5p 1)-2p\cdot4)(3) (4-1\div3)(6p-9)$ to a much simpler expression of the form $ap-b$ , where $a$ and $b$ are positive integers.
The simplified expression is\($-11p^2-8p+\frac{7}{3}$, where $a=-11$ and $b=\frac{7}{3}$.\)
To simplify the given expression, let's break it down step by step.
Step 1: Simplify the expressions inside the parentheses:
\($((5p+1)-2p\cdot4)(3)(4-1\div3)(6p-9)$$=(5p+1-8p)(3)(4-\frac{1}{3})(6p-9)$$=(-3p+1)(3)(\frac{11}{3})(6p-9)$\)
Step 2: Simplify the expression in the first set of parentheses:
\($=(-3p+1)(\frac{11}{3})(6p-9)$\\\)
Step 3: Expand the expression using the distributive property:
\($=-\frac{33}{3}p^2+11p+6p-\frac{11}{3}-18p+6$\)
Step 4: Combine like terms:
\($=-11p^2-8p+\frac{7}{3}$\\\)
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What is the value of A when we rewrite (5/2)^x + (5/2)^x+3 as A x (5/2)^x?
A =
Answer:
A = 16.625
Step-by-step explanation:
Given :-
(5/2)^x + (5/2)^( x +3)To rewrite in :-
A. (5/2)^xAnswer :-
(5/2)^x + (5/2)^(x+3) (5/2)^x + (5/2)^x . (5/2)³ (5/2)^x { 1 + (5/2)³ }Hence :-
A = 1 + (5/2)³A = 1+ 125/8 A = 8 + 125/8 A = 133/8A = 16.625Pls help, mathmatics 50 points
The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106
What is a rectangle and its Properties ?A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.
Rectangles' essential characteristics are as follows:
A rectangle is a parallelogram.
Each inner angle is equal to 90 degrees and the opposite sides are parallel and equal to one another.360 degrees is the total of all interior angles.The diagonals cut each other in half, and both of them are equal in length.The perimeter of a rectangle with side lengths a and b is equal to 2a+2b units.The Perimeter of the rectangle is 2a + 2b where a and b are the two sides
Now , if w is the width of the rectangle then, the length is 4w given in problem.
Perimeter,
2w + 2* 4w
As it is given in the problem
2w + 2* 4w ≤ 106
The first model of inequality satisfy the problem.
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Decide which item is the better purchase in each scenario below. In addition, state how much you will save per item. Brayden was looking to purchase apples; 5 lbs for $2.89 or 7 lbs for $3.25
Answer:
7 pounds for 3.25
Step-by-step explanation:
7 pounds of apples is alot for a cheap price like 3.25
What type of quadratic function is f(x) = 2(x + 5)(x-7) ?
Answer:
this is Intercept Form
four rectangles with the same area, the length varies inversely as the width. one rectangle has a length of 12cm and a width of 5cm. find the length of another rectangle with the same area whose width is 4cm
Answer:
The answer is 15 cm.
Step-by-step explanation:
y= k/x
x= width
y= length
So there for;
x= 5
y= 12
Which means that;
12= k/5
k= 60
And then;
y= 60/x
Which then finally means that;
y= 60/4
60/4= 15 cm