Answers
The measure of angle ABC from the given circle D is 34°.
What is angles in the same segment theorem?The angles at the circumference subtended by the same arc are equal. More simply, angles in the same segment are equal.
Given that, circle with the center D and measure of arc AC is 34°.
The measure of arc = m∠ABC
m∠ABC =34°
Therefore, the measure of m∠ABC is 34°.
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Related Questions
Forty-two percent of what number is 168? Responses
40
70.6
400
705.6
Answers
Answer:
Your answer is: C) 400
Step-by-step explanation:
1. what is the last name of whom we honor for discovering ways to express and minimize logic though a new but similar form of algebra? 2. what does the k in k-map stand for? 3,4,5,
Answers
Boole. K-map stands for Karnaugh Map and is used to simplify and minimize the expression of logic in a similar form to algebra.
George Boole is the mathematician we honor for discovering ways to express and minimize logic through a new but similar form of algebra. The technique used to simplify and minimize these expressions is known as a Karnaugh Map, or K-map for short. A K-map is a visual representation of a Boolean expression using squares and circles to represent true or false variables in a table. By arranging the variables in the table, the same logic can be expressed in a simpler form with fewer variables. This allows for a simpler and more efficient form of logic expression. K-maps are used in many fields, such as digital logic design, where the efficiency of expression is important.
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Rewrite the expression in terms of ln 5 and ln 6.
ln(27000)
Answers
We can rewrite ln(27000) in terms of ln(5) and ln(6) as ln(27000) = 3ln(5) + 3ln(6) by using logarithmic property.
Why are logarithm qualities significant?Due of their connection to exponential functions, logarithmic functions are crucial. Logarithms can be used to examine exponential equations and the properties of exponential functions.
We can use the logarithmic property that says:
log_a(xⁿ) = n×log_a(x)
to break down 27000 into factors that involve 5 and 6.
First, we can write:
27000 = 5³× 6³
When we take the natural logarithm of both sides, we obtain:
ln(27000) = ln(5³ × 6³)
Using the property above, we can simplify this expression as:
ln(27000) = ln(5³) + ln(6³)
Using another logarithmic property that says:
log_a(bⁿ) = c×log_a(b)
we can further simplify the expression:
ln(27000) = 3ln(5) + 3ln(6)
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a Find: i the number of games played Goals 0 1 2 3 4 5 6 7 8
Frequency 6 11 5 11 4 0 2 0 1
ii the mode iii the median
iv the mean number of goals.
b Maha asked: ‘What is the average number of goals?’
Which would be the best average to use to answer this question? Give a reason for your answer.
Answers
1) The mean of the data is 4.45.
2) The mode of the data is 11.
3) The median of the data is 4.
What are the mean, mode, and median?The mean of the data is the ratio of the sum of the given data and the number of the count of the data.
The mode of the data is the number that is repeated maximum number of times. The median of the data is when the data is arranged in an increasing order then the middle most value will be the median of the data.
Given data is 6 11 5 11 4 0 2 0 1.
The mean of the data is,
Mean = ( 6 + 11 + 5 + 11 + 4 + 0 + 2 + 0 + 1 ) / 9
Mena = 4.45
Mode = 11
Median:- 0,0,1,2,4,5,6,11,11
Median = 4
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ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 170°, what is the
measure of ZQRS?
m/QRS = ?
Answers
Answer:
[tex]10^{\circ}[/tex]
Step-by-step explanation:
Supplementary angles have measures that add to [tex]180^{\circ}[/tex].
George ate a meal that included a steak, a loaded baked potato, and coleslaw. The coleslaw had 50 fewer calories than the baked potato. The steak had twice as many calories as the baked potato. The total number of calories in the meal was 1550 calories. Write an equation that could be used to find the number of calories in the loaded baked potato (where P presents the calories in the loaded baked potato). Then, SOLVE the equation.
Answers
Answer:
400 calories
Step-by-step explanation:
Let's call the number of calories in the loaded baked potato as P. Then the coleslaw had P-50 calories and the steak had 2P calories.
So the equation for the total number of calories in the meal is:
P + (P-50) + 2P = 1550
4P = 1600
P = 400
Therefore, the loaded baked potato had 400 calories.
Answer:
Below
Step-by-step explanation:
c oleslaw = p - 50
p = potato
s = 2 p Summed these = 1550
p-50 + p + 2p = 1550 Gather 'like' terms
4p - 50 = 1550 add 50 to both sides of the equation
4p = 1600 divide both sides by 4
p = 400 calories
Transcribed image text: (1 point) Give an example of a matrix A and a vector b such that the solution set of Ax = b is a line in Rº that does not contain the origin. A= b
Answers
Matrix A is: A = [1 2 3] and Matrix B is: B = [1]
[2 4 6] [2]
[1 1 1] [3]
An example of a 3x3 matrix A and a 3x1 matrix B such that the solution set of Ax = b is a line in R³ that does not contain the origin:
A = [1 2 3]
[2 4 6]
[1 1 1]
B = [1]
[2]
[3]
To check that the solution set of Ax = b is a line in R³, we can solve for x in terms of a parameter t:
Ax = b
[1 2 3] [x1] = [1]
[2 4 6] [x2] [2]
[1 1 1] [x3] [3]
Ax = b
x1 + 2x2 + 3x3 = 1
2x1 + 4x2 + 6x3 = 2
x1 + x2 + x3 = 3
Dividing the second equation by 2 and subtracting it from the first equation, we get:
-x1 - x2 = -1
Solving for x2 in terms of x1 and x3, we get:
x2 = -x1 + 1 - (3/2)x3
Solving for x3 in terms of a parameter t, we get:
x3 = t
Then, x1 can be expressed in terms of t as:
x1 = -t + 1
Therefore, the solution set of Ax = b is:
x = [-t + 1]
[-t + 1 - (3/2)t]
[t]
which is a line passing through the point (1, 1/2, 0) with a direction vector [-1, -3/2, 1].
A × [0; 0; 0] = [0; 0; 0]
Therefore, the origin is not on the line of solutions.
So, Matrix A is:
A = [1 2 3]
[2 4 6]
[1 1 1]
and Matrix B is:
B = [1]
[2]
[3]
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Why greater than less than negative 2X squared +16 X -36
Answers
Answer:
Step-by-step explanation:
To determine whether a value is greater than or less than a specific result from an equation, you would need to substitute the value into the equation and solve for the result. For example, if you want to determine if the value "a" is greater than or less than the result of the equation -2x^2 + 16x - 36, you would substitute "a" for the variable x and solve for the result:
-2x^2 + 16x - 36 = -2a^2 + 16a - 36
Then you can compare the value of the result to "a" to determine whether it is greater than or less than.
If the result is greater than "a", you would write:
-2a^2 + 16a - 36 > a
If the result is less than "a", you would write:
-2a^2 + 16a - 36 < a
And if the result is equal to "a", you would write:
-2a^2 + 16a - 36 = a
It's important to note that the comparison only holds for a specific value of "a". The equation -2x^2 + 16x - 36 could have many solutions where the result is greater than, less than, or equal to "a".
Which of the following is NOT a characteristic of a plane?
Answers
The answer option which is not a characteristic of a plane include the following: C. thickness.
What is a plane?In Mathematics, a plane is sometimes referred to as a two-dimensional surface and it can be defined as a flat, two-dimensional surface with zero curvature and zero thickness, that extends indefinitely (infinitely). Additionally, two (2) planes intersect at a line.
What are the characteristics of a plane?Generally speaking, there are different characteristics of a plane and these include the following:
LengthFlat surface.Width.In this context, we can reasonably infer and logically deduce that thickness is not a characteristic of a plane.
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Complete Question:
Which of the following is NOT a characteristic of a plane?
A. length
B. flat surface
C. thickness
D. width
what is the minimum value of y=x^2+36/5
Answers
Answer:
(36/5)
Step-by-step explanation:
y=x^2+36/5
Since x is squared, the result will always be a positive number, regardless of the actual value of x. Starting with a value of x of zero, the x^2 term will only grow as one moves away from 0. E.g., (-1)^2 = 1, (-2)^2 = 4, etc.
So the minium for this equation will occur when x = 0. It only gets larger from that point. The minimum is (36/5).
See the attached graph.
Write an explicit formula for a_na n , the n^{\text{th}}n th term of the sequence 3, -15, 75, ...3,−15,75,....
Answers
The explicit formula for the geometric series is [tex]a_n = 3(5)^{n-1}[/tex].
What is geometric progression?A geometric series is one in which there is a constant separating the two succeeding numbers. In other words, to create a geometric progression, each succeeding term is multiplied by the constant term.
Given that the geometric sequence is,
3, 15, 75......
The common ratio of the series is calculated as the ratio of the second term to the first term,
r = 15 / 3
r = 5
The explicit formula can be written as:-
[tex]a_n = a_1(r)^{n-1}[/tex]
[tex]a_n = 3(5)^{n-1}[/tex]
Therefore, the formula is [tex]a_n = 3(5)^{n-1}[/tex].
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5 Dans chaque cas, calculet une valeur approchée
au dixième près de la longueur, en cm, de chaque
cercle.
2.8 cm
18 m
J’ai besoin d’une réponse au plus vite possible
Answers
15 solids and 15 liquids found in the kitchen.
Please help.
Answers
15 liquids that can be found in a kitchen include:
WaterMilkJuice Cooking oil VinegarWineSoy sauceHoneySoupKetchupMustardMayonnaiseSalad dressingEggnogCocktail mixers15 solids in a kitchen are:
FlourSugarSaltRiceBaking sodaBaking powderSpices NutsPastaButterCheeseBreadMeat Vegetables FruitsWhat are some solids and liquids in kitchens ?When it comes to solids in the kitchen, we can mostly find either food ingredients, such as salt, flour, and spices, or actual food that can be prepared such as meat, vegetables, and bread.
As for liquids, these can be anything from drinks such as juice, water and wine, to liquids used for cooking such as oil, soy sauce and vinegar.
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Which algebraic expression is a polynomial term?
Answers
A polynomial term is an expression composed of constants, variables, and exponents.
A polynomial term is an expression composed of constants, variables, and exponents. Constants are the numerical values that don't change, while variables are values that can change. Exponents are numbers that indicate how many times a number is multiplied by itself. For example, 2^3 means 2 multiplied by itself 3 times, or 8. A polynomial term is an expression that combines constants, variables, and exponents, such as 6x^2 - 3x + 5. In this expression, 6, -3, and 5 are constants, x is a variable, and 2 and 1 are exponents. A polynomial term can also contain fractions, such as (2x + 1)/3. In this case, 2, 1, and 3 are constants, and x is a variable. Polynomial terms are the building blocks of polynomials, which are equations that consist of multiple polynomial terms.
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What is the slope of a line that contains the points (14,-42) (-48,24)
Enter the correct answer as m=
PLEASE SHOW WORK
Answers
The slope on the line containing the points (14,-42) is 1.06, as stated in the preceding sentence (-48,24).
How is slope determined?The % slope is calculated by multiplying the distance between two locations by the differences in elevation above them. The difference in height between two places is referred to as "rise." The distance between it sites is known as the run. Therefore, the formula for percent slope is (rise / run) x 100.
The slope's formula is as follows:
m = (y₂-y₁)/x₂-x₁)
In the formula, replace the point values as follows:
m = (24-(-42))/(-48-14)
Make the fraction simpler:
m = (24-(-42))/(-48-14)
m = 66/-62
m = 1.06
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Mary wants to hang a mirror in her room. The mirror and frame must have an area of 7 square feet. The mirror is 2 feet wide and 3 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?
x2 + 14x - 2 = 0
2x2 + 10x - 7 = 0
3x2 + 12x - 7 = 0
4x2 + 10x - 1 = 0
Answers
The correct quadratic equation that can be used to determine the thickness of the frame, x, is: 2x² + 10x - 7 = 0, Therefore Option B is the right answer
Here's how we can get this equation:
We are given that the mirror and frame together have an area of 7 square feet. The mirror itself has an area of 2 x 3 = 6 square feet. So, the area of the frame is 7 - 6 = 1 square foot.
Let's assume that the width of the frame is x feet. Then the overall width of the mirror and frame becomes 2 + 2x, and the overall length becomes 3 + 2x. The area of the mirror and frame can be expressed as:
(2 + 2x)(3 + 2x) = 6 + x(10 + 4x)
We know that this expression equals 7, so we can set it equal to 7 and obtain the quadratic equation:
2x² + 10x - 7 = 0
Therefore, the correct quadratic equation is 2x² + 10x - 7 = 0.
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60 children choose their favourite fruit out of apples bananas and watermelon 30% chose apples and 25% chose bananas How many children chose watermelon
Answers
Answer:
27 children.
Step-by-step explanation:
Let's call the number of children who chose apples x. Then, the number of children who chose bananas is 0.25x. The number of children who chose watermelon is 60 - x - 0.25x = 60 - 1.25x.
Since 30% of the children chose apples, we know that:
0.30 * 60 = x
So, x = 18, which means 18 children chose apples.
And since 25% of the children chose bananas, we know that:
0.25 * 60 = 0.25x = 15
So, 15 children chose bananas.
Finally, the number of children who chose watermelon is:
60 - 18 - 15 = 27 children.
Need Help Find EI And ST
Answers
Answer:
Step-by-step explanation:
So first what you got to do is add and mulytplie
If the trapezoid below is reflected across the x-axis, what are the coordinates
of B?
Answers
Answer:
C
Step-by-step explanation:
under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
B (3, 8 ) → B' (3, - 8 )
Hope this helps
Graph the line with Slope 7 and y-intercept -8
Answers
Answer:
y=7x-8
Step-by-step explanation:
You start off with the equation y= mx+b, where m = the slope (7/1) and b, which is (0,-8). Then you can graph. You first put a dot at (0,-8). Then you count up to 7 and then go to the right 1. You continue the pattern until the line is over the graph. The equation would be y= 7x-8
Example 7) Find three consecutive even integers such that the sum of the first and two times the
largest equals 20.
Answers
The consecutive even integers are 4,6 and 8.
What are the consecutive even integers?An even number is a number that can be perfectly divided by 2. An example of an even number is 10. A consecutive even number is an even number that follows each other on the number line.
Let the first even number be represented with x
The second even number : x + 2
The third even number : x + 4
x + 2(x + 4) = 20
x + 2x + 8 = 20
3x = 20 - 8
3x = 12
x = 12 / 3
x = 4
The second even number : 4 + 2 = 6
The third even number : 4 + 4 = 8
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find the missing length
Answers
The value of the missing side of the given triangle would be = 12
How to calculate the value of the missing length?To calculate the value of the missing length the Pythagorean formula can be used such as;
c² = a² + b²
where;
C =?
a = 11
b = 5
C² = 11²+5²
= 121 + 25
= 146
C =√ 146
C = 12
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Compact fluorescent light (CFL) bulbs reduce energy waste. The amount of energy
waste that is reduced each day in a certain community can be estimated by -b² + 8b
where b is the number of bulbs. Divide by b to find the average amount of energy
saved per CFL bulb.
Answers
So, the average energy saved per bulb (E) can be represented as follows:
E = (-b^2 + 8b) / b
To simplify, we can factor out the b term in the numerator:
E = (-b + 8)
So, the average energy saved per CFL bulb is equal to -b + 8.
It's important to note that this equation assumes a linear relationship between the number of bulbs and the energy saved, which may not necessarily hold true in reality. It's also important to take into account other factors that could affect the amount of energy saved, such as the usage patterns of the bulbs and the efficiency of the electrical system they are used in
1 13. In the first few days of its life, the length of an earthworm I is thought to be proportional to the square root of the number of hours n which have elapsed since its birth. If a worm is 2 cm long after 1 hour, how long will it be after 4 hours? How long will it take to grow to a length of 14 cm?
Answers
The length of earthworm will be 4 cm after 4 hours. And the length is 14 cm after 49 hours.
What is meant by Proportion?Proportions are defined when two or more ratios are made to be equal to each other.
Two quantities are said to be directly proportional if a positive change in one quantity also lead to a positive change in the other quantity.
If a is proportional to b, we denote it as a ∝ b.
Given,
Length of an earthworm, l ∝ square root of the number of hours, n, which have elapsed since it's birth.
l ∝ √n
l = k √n, for some constant k.
If a worm is 2 cm long after 1 hour, we can write it as,
2 = k × √1
⇒ k = 2
So the proportionality constant is 2.
After 4 hours,
l = k √4
l = 2 × 2 = 4 cm
If the length is 14 cm,
14 = 2 √n
√n = 14 / 2
√n = 7
n = 7² = 49 hours
Hence the length of worm is 4 cm after 4 hours. It will take 49 hours to grow to a length of 14 cm.
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A scuba diver dives 36 feet and
stops to look at a school of fish.
Then he dives down another 26 feet
How deep is the scuba diver now?
Answers
Answer:
62 Feet
Step-by-step explanation:
26+36=62
6 + 6 = 12
20 + 30 = 50
12 + 50 = 62
Answer:
The scuba diver is 62 feet deep.
Step-by-step explanation:
We know the scuba diver has dived 36 feet. When he stops to look at the school of fish, he doesn't dive down any further and stays at 36 feet. He then dives down another 26 feet
All we would need to do is add 36 and 26, which would give you your answer of 62.
Anna ate 5/8 of an orange and gave the other 3/8 to her brother.
Answers
The difference between the amount Anna ate and the amount she gave to her brother can be found by subtracting 3/8 from 5/8. This can be expressed as an equation by writing 5/8 - 3/8 = x, where x is the difference.
5/8 - 3/8 = x
5/8 = 5 ÷ 8
= 0.625
3/8 = 3 ÷ 8
= 0.375
0.625 - 0.375 = x
= 0.25
Therefore, the difference between the amount Anna ate and the amount she gave to her brother is 0.25.The difference between the amount Anna ate and the amount she gave to her brother can be found by subtracting 3/8 from 5/8. This can be expressed as an equation by writing 5/8 - 3/8 = x, where x is the difference. To solve this equation, we first need to convert the fractions into decimal values. 5/8 is equal to 5 divided by 8, which is equal to 0.625. 3/8 is equal to 3 divided by 8, which is equal to 0.375. We can then subtract 0.375 from 0.625 to get the difference. This gives us 0.25, which is the difference between the amount Anna ate and the amount she gave to her brother. Therefore, the answer to the equation 5/8 - 3/8 = x is x = 0.25.
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The complete question is
Anna ate 5 8 of an orange and gave the other 3 8 to her brother. Which equation can be used to find the difference between the amount Anna ate and the amount she gave her brother?
2 This table shows the relationship between
the total weight, w, in pounds, of a crate
containing t textbooks.
B
t
W
1
2
0
4
8
20
What is the slope of the line that models
this situation?
A 2
16
36
C 4
D
24
52
4
Answers
The slope of the line that models this situation is equal to 2.
How to calculate the slope of a line?In Mathematics, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Based on the information provided, we can logically deduce the following data points on the line:
Points on x-axis = (0, 8).
Points on y-axis = (4, 20).
Substituting the given data points into the slope formula, we have the following;
Slope, m = (20 - 4)/(8 - 0)
Slope, m = 16/8
Slope, m = 2.
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Someone please help with this question
A business owner wants to have the front window of her store painted and is considering two artists for the job. Mariana has quoted a flat rate of $135 for the job. Vincent's quote is $34 per hour, plus $67 to cover the cost of materials. Depending on how long it takes Vincent to paint the window, these two could end up charging the same amount. How much would it cost? How long would Vincent have to take?
Answers
Answer:
Step-by-step explanation:
Mariana's quote: 135
Vicent's quote: 34x+67
Say x=1, 34(1)+67=101
For 1 hour of Vincent's work it would be $101.
Say x=2. 34(2)+67=135
Vincent would have to work for two hours to charge the exact same as Mariana.
a school dance committee is made up of 3 freshman, 5 sophomores, 2 juniors, and 2 seniors. how many ways are there to sit the committee in a row at a meeting if the students must sit together by grade?
Answers
There are 6,720 possible ways to arrange the committee in a row, with students grouped by grade.
2 seniors * 5 sophomores * 3 freshman * 2 juniors = 60
60 possible arrangements for the 4 grade levels
60 * 6 (the number of ways to arrange 6 people) = 360
360 * 6 (the number of ways to arrange 6 people) = 2160
2160 * 6 (the number of ways to arrange 6 people) = 12,960
12,960 / 2 (because the order of the two grade levels can be reversed) = 6,720
6,720 possible arrangements for the school dance committee.
The school dance committee is made up of 3 freshman, 5 sophomores, 2 juniors, and 2 seniors. To find out how many ways there are to sit the committee in a row at a meeting if the students must sit together by grade, we first need to calculate the number of possible arrangements for each grade level. Since there are 2 seniors, 5 sophomores, 3 freshman, and 2 juniors, there are 60 possible arrangements for the 4 grade levels. We then multiply this by 6, since there are 6 ways to arrange 6 people. This gives us 360 possible arrangements for the first two grade levels. We then multiply this number by 6 again, since there are 6 ways to arrange 6 people. This gives us 2160 possible arrangements for the first three grade levels. We multiply this number by 6 one more time, since there are 6 ways to arrange 6 people. This gives us 12,960 possible arrangements for all four grade levels. However, since the order of the two grade levels can be reversed, we must divide this number by 2. This gives us a total of 6,720 possible arrangements for the school dance committee.
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A right triangle has legs measuring 20 in. and 28 in. what is the length of the hypotenuse? round to the nearest tenth. responses 8.0 in. 8.0 in. 19.6 in. 19.6 in. 34.4 in. 34.4 in. 1184.0 in.
Answers
The length of the hypotenuse of a right triangle with legs measuring 20 inches and 28 inches is approximately 34.4 inches, found using the Pythagorean theorem.
The length of the hypotenuse of a right triangle with legs measuring 20 inches and 28 inches can be calculated using the Pythagorean theorem, which states that the square of the sum of the squares of the lengths of the legs determines the length of the hypotenuse.
So, if we call the length of the hypotenuse "h", we have [tex]h^{2}[/tex] = [tex]20^2 + 28^2[/tex]
Solving for h:
[tex]h^2 = 20^2 + 28^2[/tex]
[tex]h^2[/tex] = 400 + 784
[tex]h^2[/tex] = 1184
h = [tex]\sqrt{1184}[/tex]
h ≈ 34.4 in.
So, the length of the hypotenuse is approximately 34.4 inches, rounded to the nearest tenth.
The Pythagorean theorem is a fundamental mathematical relationship that states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal tothe squared lengths of the two legs added together. In this case, the two legs have lengths of 20 inches and 28 inches, and the length of the hypotenuse can be found by solving for the square root of the total of the leg squares.
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