Answer:
In the circle, the measure of the arc AC is 21°.
Step-by-step explanation:
Concept: We can use the Inscribed Angle theorem to get the measure of AC.
Given that the inscribed angle ∠ABC is 3x-1.5 and the Intercepted arc AC is 3x+9.
Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of the intercepted arc.
So,
3x - 1.5 = 0.5(3x + 9)
6x - 3 = 3x + 9
3x = 12
x = 4
Since the intercepted arc AC is 3x + 9, putting the value of x = 4 we get,
intercepted arc AC is 21°.
Hence the intercepted arc AC is 21°.
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A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Write and solve an equation to match the situation.
Answer:
see below
Step-by-step explanation:
Acid in = acid out acid out = 10 liters of 20% = .2 * 10 = 2
x = 5% amount
10-x = 40% amount
.05x + .40 ( 10-x) = .20 (10)
.05x + 4 - .4x = 2
-.35x = -2
x = 5.7 liters of 5 % 10 - 5.7 = 4.3 liters of 40%
If math 7x+10y=−3 is a true equation, what would be the value of 21x+30y?
The value of the expression 21x + 30y is -9
How to evaluate the expression?The equation is given as:
7x+10y=−3
Multiply both sides by 3
3 * 7x + 3 * 10y=−3 * 3
Evaluate the product
21x + 30y = -9
Hence, the value of the expression 21x + 30y is -9
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Sven makes bread rolls, he uses rye flour and wheat flour to the ratio 2:3. sven makes bread rolls using 250 g of rye flour, what mass of wheat flour does he use
One polygon has a side of length 2 feet. A similar polygon has a corresponding side of length 4 feet. The
ratio of the perimeter of the smaller polygon to the larger is
021
01/2
014
Answer:
the largest is 014 because I did it and the teacher said it is correct
Step-by-step explanation:
teacher checked work
Vivian and Noelle both leave the park at the same time, but in opposite directions. If Noelle travels 5 mph faster than Vivian and after 8 hours, they are 136 miles apart, how fast in mile per hour is each traveling
Vivian is traveling at 6 Noelle per hour and Noelle is traveling at x+5 = 11 Noelle per hour.
What is speed?Speed can be calculated as the ratio of distance traveled to the time taken.
Vivian and Noelle both leave the park at the same time, but in opposite directions, their total distance is the 136
Let Vivian's speed be = x
Let Noelle's speed be = x+5
They each can travel for 8 hours
so time = 8 hours
Distance = speed × time
136 = x(8) + (x+ 5) 8
136 = 8x + 8x + 40
96 = 16x
x = 6
So, Vivian is traveling at 6 Noelle per hour and Noelle is traveling at x+5 = 11 Noelle per hour.
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Factorise completely
qn: 12axy + 8bxy + 4xy
Answer:
Step-by-step explanation:
Answer:
4xy(3a+2b+1)
Step-by-step explanation:
1) Find the Greatest Common Factor (GCF).
1 - What is the largest number that divides evenly into 12axy, 8bxy and 4xy?
It is 4.
2 - What is the highest degree of [tex]a[/tex] that divides evenly into 12axy, 8bxy and 4xy?
It is 1, since a is not in every term.
3 - What is the highest degree of [tex]x[/tex] that divides evenly into 12axy, 8bxy and 4xy?
It is x.
4 - What is the highest degree of [tex]y[/tex] that divides evenly into 12axy, 8bxy and 4xy?
It is y.
5 - What is the highest degree of [tex]b[/tex] that divides evenly into 12axy, 8bxy and 4xy?
It is 1, since [tex]b[/tex] is not in every term.
6 - Multiplying the results above,
GCF = 4xy
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]4xy(\frac{12axy}{4xy} +\frac{8bxy}{4xy} +\frac{4xy}{4xy} )[/tex]
3) Simplify each term in parentheses.
[tex]4xy(3a+2b+1)[/tex]
sec(pi/2 -x) =csc x true or false
Answer:
true
Step-by-step explanation:
if you rewrite [tex]sec\left(\frac{\pi }{2}\:-x\right)[/tex] with trigonometric identities:
[tex]sec\left(\frac{\pi }{2}\:-x\right)[/tex] [tex]=\frac{1}{\sin \left(x\right)}[/tex]
[tex]\frac{1}{\sin \left(x\right)}[/tex] [tex]=\csc \left(x\right)[/tex]
so, yes, [tex]sec\left(\frac{\pi }{2}\:-x\right)[/tex] [tex]=\csc \left(x\right)[/tex]
hope this helps!!
Name a career that require data -analysis skills describe how data analysis skills describe how date analysis is used in this career be sepcific when typical values are given for salaries and housing prices the median is almost always given instead of mean.
A career as a Data Scientist would require data analysis skills.
What is the career for data analysis?1) A career as a Data Scientist would require data analysis skills.
2) The Data Scientist computes and analyzes large amounts of data from different sources and then uses the results for interpretations. The skills required by a data scientist are skills In Statistics, calculus, Probability, Programming, Excel, Visualization, Database management, and Machine Learning. He also needs a high level of accuracy when solving problems.
3) The median value is used when the data set contains values that occur repeatedly and which contains some extremely high values. The mean value would aggravate towards higher values while the Median value would give a salary value that is an average of the data set. That is why the median value is used in salaries and housing prices calculations.
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What is the solution to this rational equation? 24/x-8=4
Answer:
X = 1424/x-8 = 4
Multiplying both the sides with x-8
24 = (x-8)*4
24 = 4x - 32
24 + 32 = 4x
56 = 4x
56/4 = X
14= X
A car manufacturer is reducing the number of incidents with the transmission by issuing a voluntary recall. During week 2 of the recall, the manufacturer fixed 192 cars. In week 4, manufacturer fixed 184 cars. Assume that the reduction in the number of cars each week is linear. Write an equation in function form to show the number of cars seen each week at the mechanic.
f(x) = 4x + 200
f(x) = 2x + 192
f(x) = −4x + 200
f(x) = −2x + 192
Answer:
the answer is f(x)=2x+192
Answer:
The answer is F(x)=2x+192
the graph below shows the hourly wage of tina when she was working summer from high school through collage
The years in which Tina's raise was more than $0.50 an hour over the previous year are
2002
2004
2005
2006
2007
Calculating rate of payFrom the question, we are to determine the years in which her raise was more than $0.50 an hour over the previous year
Considering the graph
From year 2001 to 2002Her raise was $6.50 - $5.50 = $1.00
From year 2002 to 2003Her raise was $7.00 - $6.50 = $0.50
From year 2003 to 2004Her raise was $7.75 - $7.00 = $0.75
From year 2004 to 2005Her raise was $8.50 - $7.75 = $0.75
From year 2005 to 2006Her raise was $10.50 - $8.50 = $2.00
From year 2006 to 2007Her raise was $11.50 - $10.50 = $1.00
Hence, the years in which Tina's raise was more than $0.50 an hour over the previous year are
2002
2004
2005
2006
2007
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a women is 34 years older than her dauhter eiht years ago she was 3 times as old as her daughter what is the age of her daughter now?
Answer:
The daughter is 14 years old
Step-by-step explanation:
34＋8＝42
42÷3=14
There are 5 types of fruit in a basket. There are 3 apples, 2 bananas, 4 oranges, 5 kiwi,
and 1 passionfruit. You ask a friend to bring you a piece of fruit. What is the probability of them bringing you an apple?
The probability of bringing an apple is 0.20
How to determine the probability?The distribution of the fruits is given as:
3 apples2 bananas4 oranges5 kiwi,1 passion fruit.The probability of bringing an apple is:
P(Apple) = Apple/Total
This gives
P(Apple) = 3/(3 + 2 + 4 + 5 + 1)
Evaluate
P(Apple) = 0.20
Hence, the probability of bringing an apple is 0.20
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helooooooo
bnbdnndnmfmfnfncncncncnncnc....
Answer: I dont really understand your questions
Step-by-step explanation: find the solution to your problem
Juniors and seniors were surveyed about whether they plan to attend a school dance.
94 out of 130 juniors plan to attend.
12 out of 140 seniors do not plan to attend.
The following table shows the results.
(see attachment for table)
What mistake was made in the table?
A. The total for the number of seniors is incorrect
B. The responses for the juniors are reversed
C. The number of juniors attending is incorrect
D. The responses for the seniors is incorrect
Answer:
The responses for the seniors are reversed.
Hope this helped!
Which table represents an arithmetic sequence?
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The table that represents an arithmetic sequence is the third table.
What is arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₓ = a₁ + (x-1)d
where d is the difference and a₁ is the first term of the sequence.
For the table to be in an arithmetic sequence, the difference between any two consecutive terms must be equal.
For the first table, the difference between the first two terms is -6, while for the next two terms it is -12. Thus, it is not an arithmetic sequence.In the second table, the difference between the first two terms is 2 while the difference between the next two terms is 4. Thus, it is not an arithmetic sequence.In the third table, the difference between the first two terms is 1.4, the difference between the next two terms is 1.4. Also, it last two terms the difference is 1.4. Thus, it is an arithmetic sequence.Hence, the table that represents an arithmetic sequence is the third table.
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Sahil chooses a number, divides it by 8 , adds 8 to the answer. Then multiples the answer with 8 . He obtains the result as 952 . The number he chooses in the beginning was
TAKE POINTS
Let that be x
(x/8+8)8=952x/8+8=119x/8=119-8x/8=111x=111(8)x=888The number he chooses, in the beginning, was 888.
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.
Given that Sahil chooses a number, then divides it by 8, adds 8 to the answer. Then multiply the answer by 8.
Let the unknown number be represented by x.
Therefore,
(x/8+8)8 = 952
x/8+8 = 119
x/8 = 119-8
x/8 = 111
x = 111(8)
x = 888
Therefore, the unknown number would be; 888.
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PLEASE HELP ME WITH THIS
Answer:
Decreases
Step-by-step explanation:
A negative correlation means the y is big when the x is small. As x gets bigger, y gets smaller.
suppose your household income increased to $2,000.00 and your energy bill came from $180.00 how many percent of your household income is being spent on electricity?
hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა
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[tex]\large \bold {ANSWER}[/tex]
[tex]\implies \boxed{\underline{\huge{\tt{\orange{\: \: 9\% \: \: }}}}}[/tex]9% of the family income is being spent to pay the energy bill.
[tex]\large \bold {SOLUTION}[/tex]
HOW TO FIND OUT THE PERCENTAGE?If your income is now $2,000.00 and you have withdrawn $180.00 from the value, then we say that the $2,000.00 is equivalent to 100% of the value, that is, the total amount. And the amount that was withdrawn will be X because we still don't know how much percent is equivalent to $ 180.00 of this value.
To solve, we will use the simple rule of three like this:
[tex]\frac{2000}{180} = \frac{100}{x}[/tex]With this we will multiply the denominator of one with the numerator of the other, being:
2000 * X and 180 * 100Where: 2000 * x is equal to 2000xAnd 180 * 100 is equal to 18,000Knowing this, we will solve it this way:
2000x = 18,000To start we will isolate the unknown(x) from the values taking the 2000 to the other side of the equality turning it into the denominator of 18,000.
[tex]x = \frac{18000}{2000}[/tex]And to finish, we cut the 3 zeros of the numerator with the d 3 zeros of the denominator getting 18 / 2. Now it's just dividing.
[tex]\begin{gathered}x = \frac{18}{2} \\ \\ x = 9\end{gathered}[/tex]We can conclude that the amount spent to pay the energy bill is equivalent to 9% of the family income.
find the area and perimeter of the figures
Answer:
6x+6 or 4x+10
Step-by-step explanation:
hope u like it
Answer:
a) 196cm^2
b) 225cm^2
c) 180 cm^2
Step-by-step explanation:
a) The figure is a square, so you can use the formula: a = l^2, or area equals length of one side squared.
a = (14cm)^2
a = 196cm^2
b) a = (15cm)^2
a = 225cm^2
c) This one is a parallelogram, so it's trickier. However, we can imagine the figure as a rectangle by taking the small triangle that sticks out on the right and putting it into the gap in the left. Now, we can solve this using the formula for a rectangle: a = l x w.
a = l x w
a = 18cm x 10 cm = 180 cm^2
:)
Where does f(x) = 3x2 – 11x – 4 intersect the x-axis?
Answer:[tex]x=-\frac{1}{3}, 4[/tex]
Step-by-step explanation:
Graphs intersect the x-axis where y=0, so we can set f(x)=0.
[tex]3x^2 - 11x-4=0 \\ \\ (3x+1)(x-4)=0 \\ \\ x=-\frac{1}{3}, 4[/tex]
Answer:
negative x intercept is at -1/3
positive x intercept 4
Step-by-step explanation:
who is father of math?
Answer:
Archimedes
Step-by-step explanation:
Archimedes is known as the Father Of Mathematics.
Answer:
Archimedes
Archimedes is known as the Father Of Mathematics
Step-by-step explanation:
Finding the LCM of algebraic term and algebraic expressions.
Answer:
The LCM is made by multiplying all factors included in the factoring of the given expressions. Common factors are used once only and the one with the highest power is used. x + 3 is a factor in the first expressions is therefore used.
Step-by-step explanation:
urgent please help with this function!!
Answer:
g(-2) = 0
g(4) = -4
Step-by-step explanation:
-2 works in the second equation because it is within the restrictions, therefore it is 0.
4 works in the third equation because it is within those restrictions, therefor it is -4.
raios of 3 The ratboys to 5 girls
Find the vertex and focus of the
parabola:
y²-10y + 4x + 21 = 0
Vertex = ([?],
[]
Focus=([], [])
Answer:
Vertex: (1, 5)
Focus: (0, 5)
Step-by-step explanation:
Given that the parabola's equation is y² - 10y + 4x + 21 = 0, solve for the vertex and the focus.
Vertex:
Step 1: Isolate x to the left side of the equation; we get x = - (y² / 4) + (5y / 2) - (21 / 4).
Step 2: Complete the square of the previous equation; here we get - (1 / 4) * (y - 5)² + 1. x is squal to this.
Step 3: Use the vertex form, x = a(y - k)² + 1. a is - 1 / 4, h is 1, and k is 5.
Step 4: Fill in (h, k). We get the answer (1, 5) as the vertex.
Focus:
Step 1: Find p, and distance from the vertex to the focus. We can find p by using 1 / (4a).
Step 2: Simplify. This gives us -1 as p.
Step 3: We plug in the values we just got earlier to get the vertex. The focus of a parabola can be found by using: (h + p, k).
Step 4: Substitude the values. We have (1 + -1, 5).
Step 5: Simplify. Therefore, the answer is (0, 5).
This took me a long time to calculate. Please mark me as Brainliest!!!This uservabove me did it all for you. I don't have much to say...
What are the soultions of the equation x^4 - 9x^2 + 8 = 0? Use u substitution to solve.
Step-by-step explanation:
Let u=x^2.
Notice that
[tex] {x}^{4} - 9 {x}^{2} + 8 = 0[/tex]
[tex]( {x}^{2} ) {}^{2} - 9( {x}^{2} ) + 8 = 0[/tex]
[tex]u {}^{2} - 9u + 8 = 0[/tex]
[tex](u - 8)(u - 1) = 0[/tex]
[tex]u = 8[/tex]
[tex]u = 1[/tex]
Replace x^2= u
[tex] {x}^{2} = 8[/tex]
[tex]x = ±2 \sqrt{2} [/tex]
[tex] {x}^{2} = 1[/tex]
[tex]x = ±1[/tex]
So our answer is
[tex]±1 \: [/tex]
and
[tex]±2 \sqrt{2} [/tex]
Which two activities are examples of data collecting?
A. Using the results of a race to predict who will win future races
B. Weighing dogs
C. Graphing the lengths of fish in a pond
D. Asking people what their favorite show is
Answer:
C and D.
Step-by-step explanation:
In option C, they are collecting data about the lengths of fish in a pond.
In option D, they are collecting data about people's favorite show.
Hope this helps!
If not, I am sorry.
REARRANGE EQUATIONS PLEASE HELP ITS DUE IN TOMORROW
Answer:
from top to bottom:
x = y(v-w)
x = (yv/w)/2
x = (6+w)/v
x = (y-2w)/v
Step-by-step explanation:
look at the attachments
the last one at the bottomm c is200
please i really need help its khan
Answer:
all I know is the second on about world population in 2014 which was c
7•10⁹
Answer:
B
B
Step-by-step explanation:
there are 9 steps for the second question so it 10^9
and if you times the 1st population size by 20 you get very close to the second population size.
