The measure of minor arc AC, when CB is a diameter of the circle, is 110 degrees.
In a circle where CB is a diameter, the measure of the minor arc AC is 110 degrees.
When CB is a diameter, it means that AC is a subtended arc, meaning it is formed by the two endpoints of a chord (in this case, A and C).
The measure of an arc is defined as the central angle it subtends at the center of the circle.
Therefore, the angle at the center of the circle that corresponds to the minor arc AC is also 110 degrees.
This means that if we were to draw a line from the center of the circle to point A, and another line from the center to point C, the angle between these lines would measure 110 degrees.
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10 + 3x < 4 or 2x + 5 > 11 in interval notation
Answer:
( − ∞ , ∞ ) hope i help
Step-by-step explanation:
First, solve each inequality. I'll solve the first one first.
7 ≥ 2 x − 5
12 ≥ 2 x
6 ≥ x
Therefore, x could be any number less than or equal to 6. In interval notation, this looks like:
( − ∞ , 6 ]
The parenthesis means that the lower end is not a solution, but every number above it is. (In this case, the lower end is infinity, so a parenthesis must be used, since infinity is not a real number and so it cannot be a solution.) The bracket means that the upper end is a solution. In this case, it indicates that not only could
x
be any number less than 6, but it could also be 6.
Let's try the second example:
3 x − 2 4 > 4
3 x − 2 > 16 3 x > 18 x > 6
Therefore, x could be any number greater than 6, but x couldn't be 6, since that would make the two sides of the inequality equal. In interval notation, this looks like:
( 6 , ∞ )
The parentheses mean that neither end of this range is included in the solution set. In this case, it indicates that neither 6 nor infinity are solutions, but every number in between 6 and infinity is a solution (that is, every real number greater than 6 is a solution).
Now, the problem used the word "OR", meaning that either of these equations could be true. That means that either x is on the interval ( − ∞ , 6 ] or the interval ( 6 , ∞ )
. In other words, x
is either less than or equal to 6, or it is greater than 6. When you combine these two statements, it becomes clear that
x
could be any real number, since no matter what number
x
is, it will fall in one of these intervals. The interval "all real numbers" is written like this:
( − ∞ , ∞ )
use distributive property to rewrite this problem: -2(n-7)
To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:
a(b + c) = ab + ac
Applying this property to the given expression:
-2(n-7) = -2 * n + (-2) * (-7)
Simplifying further:
-2(n-7) = -2n + 14
Therefore, the rewritten expression is -2n + 14.
Use the information given to find the equation of the line using the point-slope formula (y-y_1=m(x-x_1)). Then convert your answer to slope-intercept form (y=mx+b).x intercept is 1 and (-2,6)Converting it to slope intercept form gives us y=Answerx+Answer
Since the x-intercept is 1, then another point on the graph of the function is (1,0).
Use the slope formula to find the slope of the line that passes through the points (1,0) and (-2,6):
\(\begin{gathered} m=\frac{6-0}{-2-1} \\ =\frac{6}{-3} \\ =-2 \end{gathered}\)Use the point-slope formula. Substitute y₁=6, x₁=-2 and m=-2. Then, isolate y to find the equation in sope-intercept form:
\(\begin{gathered} y-y_1=m(x-x_1) \\ \Rightarrow y-6=-2(x-(-2)) \\ \Rightarrow y-6=-2(x+2) \\ \Rightarrow y-6=-2x-4 \\ \Rightarrow y=-2x-4+6 \\ \Rightarrow y=-2x+2 \end{gathered}\)Therefore, the answer is:
\(y=-2x+2\)Help!? Helping my son with geometry ... I have no clue what I’m doing here
We are Given:
∠1 = 65°
Finding the measure of all other angles with proof:∠2:
∠1 + ∠2 = 180° (angle 1 and 2 form a Linear Pair)
65 + ∠2 = 180 (Angle 1 = 65°)
∠2 = 180 - 65
∠2 = 115°
∠3:
∠1 = ∠3 (Angle 1 and 3 are vertically opposite)
65 = ∠3 (Angle 1 = 65°)
∠3 = 65°
∠4:
∠4 = ∠2 (Vertically opposite angles)
∠4 = 115° (∠2 = 115°)
∠5:
∠5 = ∠1 (Corresponding angles)
∠5 = 65° (∠1 = 65°)
∠6:
∠6 = ∠2 (Corresponding angles)
∠6 = 115° (∠2 = 115°)
∠7:
∠7 = ∠3 (Corresponding Angles)
∠7 = 65° (∠3 = 65°)
∠8:
∠8 = ∠4 (Corresponding angles)
∠8 = 115° (∠4 = 115°)
Help I don’t understand
Answer:
so if you use a calculater the answer will be 1.455192×10
25 or if not simplify 5^36
Step-by-step explanation:
A bakery produces 280 loaves of bread and 95 cakes daily.
explain how you would compute the percent of the baked foods that are cakes.
The percent of the baked foods that are cakes will be 25.33%
How to calculate the percentage?It should be noted that a percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.
The percentage then refers to a component per hundred. The word percentage simply means per 100 and it is represented by %. In this situation, the bakery produces 280 loaves of bread and 95 cakes daily.
The percent of the baked foods that are cakes will be:
= Number of cakes / Number produced daily × 100
= 95 / (280 + 95) × 100
= 95 / 375 × 100
= 25.33%
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Kayleigh decided to donate 30% of her savings. If she has $238 in her savings account, how much will she donate?
Answer: She will donate approximately $71.40 <3
Step-by-step explanation:
Answer:
166.6
Step-by-step explanation:
100%-30% is 70%. 70% =0.7. 238 x 0.7 = 166.6
Heart and branliest with 5 star yessss
Which fraction and decimal forms match the long division problem?
9) 2.000
18+
20
181
20
18
2
O A.
and 0.2
O
OB.
and 0.222
O c.
and 0.2
O D.
and 0.2
Answer:
Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?
Step-by-step explanation:
Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?
A recipe says it produces the best summer drink. The recipe calls for cup of lemonade for every 1 cups of iced tea. If 16 cups of the summer drink are made, how many of those are cups of lemonade? Re-create the table to give your answer.
this is rlly easy but im just to lazy to answer it help pls ty
Answer:
C. 72
Step-by-step explanation:
-3 x -2 = 6
6 x 3 = 18
18 x 4 = 72
Answer:
Step-by-step explanation:
this question involves negative and positive
so simple
Mental accounting can be used to explain(A) higher savings in separate retirement accounts;(B) high willingness to spend on credit cards;(C) holding depreciating stocks longer than appreciating ones;(D) all of the above.
Answer:
(D) all of the above.
Step-by-step explanation:
Mental accounting refers to this ability to organize your budget, to think about your money by separating it into different expenditure items. Your brain differentiates money based on how you got it and how you plan to spend it. In other words, you are creating some sort of mental piggy bank where you put your money which will be used for such and such an expense.
Mental accounting can be used to explain how higher savings are derived with various retirement accounts; how high clients purchasing a particular product are willing to spend on credit cards and also explains why brokers hold depreciating stocks longer than appreciating ones due to the mental thought that such depreciating stock will rise at a future time.
In need of help pleaseee
Answer: (-3,2) im pretty sure
The total amount of candy sold at Cassandra's Candy Corner can be represented by the function C(x) = 4x3 + 10x2 + 54x + 520, where x represents the number of years since the store opened. The amount of types of candy can be modeled by the linear function T(x) = 2x + 10. Which expression represents the amount of candy sold each year per type at Cassandra's Candy Corner?
2x^2 – 5x + 52
2x^2 + 5x + 52
4x^3 + 10x^2 + 52x + 510
4x^3 + 10x^2 + 56x + 530
Using polynomial division, it is found that the expression that represents the amount of candy sold each year per type at Cassandra's Candy Corner is:
\(2x^2 - 5x + 52\)
The amount of candy sold per type is given by the following division:
\(\frac{C(x)}{T(x)} = \frac{4x^3 + 10x^2 + 54x + 520}{2x + 10}\)
The denominator can be written as:
\(2x + 10 = 2(x + 5)\)
At the numerator, to see if we can simplify, we verify if x = -5 is a factor:
\(C(-5) = 4(-5)^3 + 10(-5)^2 + 54(-5) + 520 = 0\)
Since C(-5) = 0, it is a factor of the numerator, and thus, since the numerator is of the 3rd degree, it can be written as a 3 - 1 = 2nd degree polynomial multiplying x + 5:
\((ax^2 + bx + c)(x + 5) = 4x^3 + 10x^2 + 54x + 520\)
\(ax^3 + (5a + b)x^2 + (5b + c)x + 5c = 4x^3 + 10x^2 + 54x + 520\)
Equaling both sides:
\(a = 4\)
\(b = 10 - 5a = -10\)
\(5c = 520 \rightarrow c = 104\)
Thus:
\(C(x) = (4x^2 - 10x + 104)(x + 5)\)
And:
\(\frac{C(x)}{T(x)} = \frac{(4x^2 - 10x + 104)(x + 5)}{2(x + 5)} = 2x^2 - 5x + 52\)
Thus, the expression is:
\(2x^2 - 5x + 52\)
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Find the greatest common factor of 17, 15, and 21.
Answer:
1
Step-by-step explanation:
17's only factors are 1 and 17 so the GCL is 1
you run 3 miles in 19.5 minutes. your friend runs 2 miles in 13.5 minutes. who is faster you or your friend? how many minutes sooner will the faster runner will finish a mile race?
Answer:
You are faster. You are 0.25 min faster (15 seconds faster)
Step-by-step explanation:
you 19.5/3 =6.5 minutes per 1 mile
The friend 13.5/2 = 6.75 minutes per 1 mile
you run 1 mile in 6.5 minutes
the friend runs 1 mile in 6.75 min
" alt="A number line going from 0 to 6.5 in increments of 0.5. An arrow goes from 0 to 2.5 and from 2.5 to 5."/>
The image you described features a number line that goes from 0 to 6.5 in increments of 0.5.
On this number line, there is an arrow that starts at 0 and extends to 2.5, and then continues from 2.5 to 5.
This image can be visualized as follows:
0 1 2 3 4 5 6 6.5
|--------|--------|--------|--------|--------|--------|--------|
|------------------------|------------------------|
0 to 2.5 2.5 to 5
The vertical lines represent the increments of 0.5 on the number line, and the arrow indicates the segments from 0 to 2.5 and from 2.5 to 5.
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Write 135 as a product of its prime factors. Write your answer in index form need answer quickly URGENT
135 as a product of its prime factors is written as 3 × 3 x 3 x 5
What are prime factors?The prime factors are those prime digits that can divide a particular digit evenly and without leaving any remainder. To put it differently, these are the main digits that, when multiplied with one another, result in the initial number.
In mathematics and number theory, prime factors hold significant value as they enhance comprehension of number properties and interconnections. In addition, they are utilized in a range of mathematical calculations and algorithms.
From the information given, we have the value as;
135
The prime factors are 3 × 3 x 3 x 5
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A full roll of fabric contains d meters.
When 18 m have been sold, the value of the remaining fabric is #25, 600.
a. How many meters of fabric are worth #25 600?
The meters of fabric worth d is 1347.36
what is profit and loss?
The difference between the selling price and the cost price is the profit or gain. Loss is determined by subtracting the selling price from the cost.Profit is calculated as total revenue less total expenses.If the selling price is greater than the cost price, then the difference between the selling price and cost price is called profit. If the selling price is less than the cost price, then the difference between the cost price and the selling price is called loss.Here a full roll of fabric contains d meters.
when 18m have been sold, then the value of the remaining faric = 25600
Therefore, d-18m = 25600
selling price of 1m = 25600 ÷ (d - 18m)
1m+18m = 25600 ÷ d
19m × d = 25600
Threfore d = 25600 ÷ 19
d = 1347.36
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In a survey, the planning value for the population proportion is p*= 0.25. How large a sample should be taken to provide a 95% confidence interval with a margin of error of 0.06? Round your answer up to the next
whole number.
The sample should be taken to provide a 95% confidence interval is 200.
What is a confidence interval?A confidence interval is made up of the mean of your estimate plus and minus the estimate's range. This is the range of values you expect your estimate to fall within if you repeat the test, within a given level of confidence.
Confidence is another name for probability in statistics.
Given the planning value for the population proportion,
probability, p = 0.25
q = 1 - p = 1 - 0.25
q = 0.75
margin of error = E = 0.06
value of z at 95% confidence interval is 1.96,
the formula for a sample is,
n = (z/E)²pq
n = (1.96/0.06)²*0.25*0.75
n = 200.08
n = 200 approx
Hence sample size is 200.
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A half-marathon is 13.1 miles long. There is a water station every 1 11/20 miles along the race trail. Which expression represents the total number of water stations?
A) 13.1 - 1 11/120
B) 13.1 + 1 11/120
C) 13.1 (1 11/120)
D) 13.1 ÷ 1 11/120
Answer:
The answer is D
A. 5°
B. 35°
C. 31°
D. 7°
Answer:
(2x +30) and (3x -5) (they're opposite to eachother, so they're equal)
2x + 30 = 3x - 5 (set them equal to eachother, then subtract 3x from both side)
-1x = -35 (divide both sides by -1 to isolate x)
x = 35 or B (this is your answer)
Step-by-step explanation:
I hope this helps :))
Select the correct answer.
If 32% of a number is 64, what is the number?
ОА.
50
OB.
96
O C.
100
OD.
200
Answer:
D. 200
Step-by-step explanation:
If you would like to solve 32% of a number is 64, you can calculate this using the following steps:
32% of a number is 64
32% * x = 64
32/100 * x = 64 /*100/32
x = 64 * 100 / 32
x = 200
Result: 32% of 200 is 64.
.
evaluate 16^-3/4
Evaluation of the exponents
Answer:
I think it is -12
Multiply -0.75 (3 quarters) by 16.
The negative cancels out the positive number.
Since the exponent is not saying multiply the number by itself a number of times, we could make a hypothesis that this is just multiplication.
Normally, this ↑ is not the case, but here, I could make an exception.
I hope this helps you, let me know if you need something else.
1,3,6,10,15,21,28 as a function
It seems that the sequence you provided is the sequence of triangular numbers. The function that generates this sequence could be defined as:
f(n) = n*(n+1)/2
Where n is the position of the number in the sequence.
So, for example:
f(1) = 1*(1+1)/2 = 1
f(2) = 2*(2+1)/2 = 3
f(3) = 3*(3+1)/2 = 6
and so on.
What is the probability of the following.
(a) An event A that is certain to occur?
(b) An event B that is impossible?
Enter an exact number
Answer:
(a) The probability of an event A that is certain to occur is 1.
(b) The probability of an event B that is impossible is 0.
Step-by-step explanation:
The probability of an event can be described as the chance that the event will occur.
The probability that an event will occur is between 0 and 1.
Based on the above, we can answer as follows:
(a) What is the probability of an event A that is certain to occur?
The probability of an event A that is certain to occur is 1.
(b) What is the probability of an event B that is impossible?
The probability of an event B that is impossible is 0.
The temperature in Abu Dhabi is 28°C. The temperature in Moscow is 16°C colder. What is the temperature in Moscow
Plss help
Answer:
12 degrees celsius
Step-by-step explanation:
28 - 16=12
hope it helps
deigo has $500 dolars in his saving account each month he takes out $20 to pay for karate class. let m be the number of months write an expression yo show the total amount ain deigos saving account after m months
The expression shows the total amount in Diego's savings account after m months is 500 - 20m.
What is the total amount?
Two numbers are added together to form the sum. It is simple to figure out the sum of small integers. You can add two numbers using your fingertips. When two or more numbers are added together, a mathematical sum or maths sum is the outcome. It is the sum of the numbers when they are added up.
Here, we have
Given: Deigo has $500 in his saving account each month he takes out $20 to pay for karate class.
Let m be the number of months. Write an expression to show the total amount in Diego's savings account after m months.
The expression:
= 500 - 20m
Here m is the number of months
Hence, the expression shows the total amount in Diego's savings account after m months is 500 - 20m.
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A) 9x^2-1
B)9x2-6x+1
C)3x^2-1
D) 3x-1
Answer:
b
Step-by-step explanation:
Which set of ordered pairs does NOT represent a function? Responses A (0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9)(0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9) B (0, 1), (2, 2), (4, 8), (-2, 7), (5, 8)(0, 1), (2, 2), (4, 8), (-2, 7), (5, 8) C (1, 4), (3, 7), (5, 8), (4, 9), (6, 2), (7, 8), (2, 5)(1, 4), (3, 7), (5, 8), (4, 9), (6, 2), (7, 8), (2,5) D (-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2)(-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2) E (-3, 6), (2, 7), (0, 5), (1, 5), (4, 9), (5, 4) PLEASE HELP and please dont give me a answer id you really dont know.
The set of ordered pairs of option A does not represent a function. The solution has been obtained using the properties of function.
What is a function?
A relationship between a number of inputs and one output per input is referred to as a function. Typically, a function is denoted by the notation f(x), where x is the input. Typically, a function is represented as y = f(x).
We know that for one input, a function can have only one output.
But, in option A, for the same input value 2, there are two output values 2 and 7. Whereas in other options, each input has only one output.
Hence, the set of ordered pairs of option A does not represent a function.
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Last year, Deshaun had $10,000 to invest. He invested some of it in an account that paid 8% simple interest per year, and
he invested the rest in an account that paid 6% simple interest per year. After one year, he received a total of $660 in
Interest. How much did he invest in each account?
Note that the ALEKS graphing calculator can be used to make computations easier.
Answer:
4
Step-by-step explanation: