Step-by-step explanation:
x = ounces of 20% solution
15% = 0.15
20% = 0.2
17% = 0.17
x × 0.15 + 8×0.2 = (8 + x)×0.17
x×0.15 + 8×0.2 = 8×0.17 + x×0.17
8×0.2 = 8×0.17 + x×0.02
8×0.03 = x×0.02
x = 8×0.03/0.02 = 12 ounces
we need to mix the 8 ounces of 20% with 12 ounces of 15% to get 17% alcohol (8 + 12 = 20 ounces of it).
A sample is taken from all teen drivers at a high school. They are given a
survey that includes the question, "Do you ever engage in the illegal activity of
texting while driving?" What is this an example of?
OA. Nonselection bias
OB. Nonresponse bias
C. Selection bias
OD. Response bias
The given scenario, where a sample of teen drivers at a high school is surveyed about their engagement in the illegal activity of texting while driving, is an example of Selection bias. Option C
How to determine what type of exampleSelection bias occurs when the process of selecting participants for a study or survey is not random or representative of the entire population.
In this case, the sample consists only of teen drivers at a high school, which may not accurately represent all teen drivers in the broader population. The sample is limited to a specific group, which can introduce bias and affect the generalizability of the results to the wider population of teen drivers.
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Help, please. I'm in math class right now and I only have a few mins left of the course.
Answer:
60
Step-by-step explanation:
180-(100+20)=x
x=60
Find the value of x.
103°
10x - 7)º
x = [?]°
Enter
Answer:
11º
Step-by-step explanation:
Because of vertical angles: 103=10x-7
103+7=10x
110=10x
x=11º
Graph the point on the graph.
Answer:
see below
Step-by-step explanation:
To graph this equation, start at the origin (0,0) since there is not y-intercept.
Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.
Because the rise (up and down, numerator) is 1, we know that we will go up one unit.
The run (side to side, denominator) is 4, so we will go to the right 4 units.
This makes the first point (4, 1).
Continue doing this until you get an idea of the line and connect the points to get the graph
Answer:
Info down in Explaination
Step-by-step explanation:
To graph this equation, start at the origin (0,0) since there is not y-intercept.
Because slope is characterized by rise/run ( i.e. how many units up or down depending on whether it is positive or negative and then however many units to the right.
Because the rise (up and down, numerator) is 1, we know that we will go up one unit.
The run (side to side, denominator) is 4, so we will go to the right 4 units.
This makes the first point (4, 1).
Continue doing this until you get an idea of the line and connect the points to get the graph
Determine the center and radius of the following circle equation:
x? + y2 - 2x - 12y +36 = 0
Step-by-step explanation:
x²+ y² -12x - 18y +17 = 0 means : (x²-12x+36)-36+(y²-18y+81)-81-27 =0
(x-6)²+(y-9)² =12²....standard form when the center is (-6 , 9) and radius 12
Answer:
The center is at (1, 6) and the radius is 1.
Step-by-step explanation:
x^2 + y^2 - 2x - 12y +36 = 0
Convert to standard form:
x^2 - 2x + y^2 - 12y = -36
(x - 1)^2 - 1 + (y - 6)^2 - 36 = -36
(x - 1)^2 + (y - 6)^2 = -36 + 36 + 1
(x - 1)^2 + (y - 6)^2 = 1
The center is at (1, 6) and the radius is 1.
HELP- find the volume of the prism
Answer:
The answer is
1728″Step-by-step explanation:
From the above question the prism in the picture is a cube since all it's sides are equal
So the formula for finding the volume of a cube is
V = l³
where l is the length of one side
From the question l = 12″
Volume of the prism = 12³
= 1728″
Hope this helps you
which best describes the triangle?
a) isosceles
b) acute
c) scalene
d) equilateral
Answer:
\(scalene \: triangle\)
Step-by-step explanation:
The above given triangle represents the unequal lengths of three sides properties of scalene triangle
hence, it's a scalene triangle♥Hope this helps you out!!!
how many fluid ounces are equal to 26 quartz? i will give brainliest answer.
The table shows that the ratio of boys to girls at Midtown Middle School is 3 to 4. Which classes have an equivalent ratio of boys to girls? Check all that apply. A math class with 12 boys and 16 girls.
An English class with 14 boys and 14 girls.
A science class with 15 boys and 20 girls.
A Spanish class with 20 boys and 15 girls.
A band class with 75 boys and 100 girls.
Answer:
Step-by-step explanation:
A math class with 12 boys and 16 girls, A science class with 15 boys and 20 girls and A band class with 75 boys and 100 girls have an equivalent ratio of 3 : 4.
What is Ratio?Ratio is a concept in mathematics used to compare two things.
It is denoted by a : b.
A ratio can be represented as fractions also like a/b.
In the question, it is given that the ratio of boys to girls is 3 to 4.
A math class with 12 boys and 16 girls = 12/16 = 3/4An English class with 14 boys and 14 girls = 14/14 = 1A science class with 15 boys and 20 girls = 15/20 = 3/4A Spanish class with 20 boys and 15 girls = 20/15 = 4/3A band class with 75 boys and 100 girls = 75/100 = 3/4Hence A math class with 12 boys and 16 girls, A science class with 15 boys and 20 girls and A band class with 75 boys and 100 girls have an equivalent ratio of 3 : 4.
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Which statement about the location of √7 on the number line is true?
A= It is located at the number 7 on the number line.
B= It is located at the number 3.5 on the number line.
C= It is located between the numbers 2 and 3 on the number line.
D=It is located between the numbers 4 and 9 on the number line
Points R, S, T, and U lie on circle O.
R
S
o
U
© 2016 StrongMind Created using GeoGebra.
In circle 0. ZROSTOU, RS = 12x + 4 and TU=112 + 15.
What is the length of TU?
Answer:
136
Step-by-step explanation:
12x + 4 = 11x + 15 {Subtract 11x from both sides.}
(12x - 11x) + 4 = 15
x + 4 = 15 {Subtract 4 from both sides.}
x = 15 - 4
x = 11
Now, SUBSTITUTE 11 for x in 11x + 15.
11(11) + 15
121 + 15
136 units
The length of line TU is 136 units.
HELP ASAP !! i’ll give you the brainliest answer as long it’s correct plsss helpp
Answer:
its b, and why does everyone want brainllest
Step-by-step explanation:
Answer:
Answer option 2
Step-by-step explanation:
85 POINTS + BRAINLEIEST PLEASE NEED THIS DONE SOON!
Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.
The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.
(1, 2), (2, 4), (3, 8), (4, 16)
Part A: Is this data modeling a linear function or an exponential function? Explain your answer. (2 points)
Part B: Write a function to represent the data. Show your work. (4 points)
Part C: Determine the average rate of change between day 2 and day 4. Show your work. (4 points)
A. The data modeling the relation is an exponential function.
B. The function is: y = 2^x.
C. The rate of change from x = 2 to x = 4 is of 4.
What is an exponential function?The definition of an exponential function is presented as follows:
\(y = ab^x\)
In which the variables of the function are listed as follows:
a is the numeric value of the function when the input is of x = 0.b is the rate of change of the function, which is the constant by which y is multiplied when x is increased by one.From this data-set, when x increases by one, y is multiplied by 2, hence the rate of change is:
b = 2.
When x is increased by n, the rate of change is:
b^n = 2^n.
Hence, when x is increased by 2, from 2 to 4, in item c, the rate of change is:
2² = 4.
When x = 1, the output is the output at x = 0 multiplied by 2, hence the coefficient a of the function is given as follows:
a = 2/2 = 1.
Then the exponential function is:
\(y = 2^x\).
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The circle graph represents the different kinds of plants the Martin family planted in their garden. Use the graph for Parts A-C.
Part A
If there are 200 plants in the garden, how many of them are green beans?
Part B
If there are 200 plants in the garden, which of the following represents the number of plants that are either pumpkin or tomato?
Part C
If there are 200 plants in the garden, which of the following represents how many more corn plants than cucumber plants there are?
Part A: There are 28 green beans in the garden. Part B: There are 80 plants that are either pumpkin or tomato. Part C: There are 52 more corn plants than cucumber plants.
What is a circle graph?A circle graph, often called a pie chart, is a circular graph with sectors on it, each representing a particular category or set of data. Each sector's area or angle is proportionate to the amount it stands for. In data visualisation, circle graphs are frequently used to show the relative sizes or proportions of several categories or groups within a dataset. They can instantly convey the distribution of data without the need for laborious numerical calculations, which makes them effective for presenting data that is divided into discrete groups. However, if the data is not presented in a clear and simple manner or if the sectors are not precisely drawn to scale, circle graphs may be deceiving.
Part A: The percentage of green beans in the circle graph is 14%.
14% of 200 = 0.14 x 200 = 28
Part B: The circle graph shows:
pumpkin plants and tomato plants is 20% + 20% = 40%.
40% of 200 = 0.40 x 200 = 80
Part C: The corn plants is 36% and the percentage of cucumber plants is 10%.
36% of 200 - 10% of 200 = (0.36 x 200) - (0.10 x 200) = 72 - 20 = 52
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Can ya help me with this one?
11 by 35
how?
well, i have no idea just found it on internet
Answer:
11/35 hrStep-by-step explanation:
Find the difference:
3/5 - 2/7 = LCD is 5*721/35 - 10/35 = Bring the fractions to same denominator11/35 SimplifyIs this a good app for school
what is 122x1,2222
Answer:
122x12222 = 1491084
Answer:
It is a good app, when used the right way.
Step-by-step explanation:
Your question isn't properly described. 122x1,2222, is that 1.2222 or was it supposed to be 12,222?
i really need help i have till 11:00
The expression that represents the combined inventory of these two stores is given as follows:
A. 7g²/2 - 4g/5 + 15/4.
How to obtain the combined inventory?The combined inventory is obtained adding the inventories for each store, combining the like terms.
The addition of the like terms for g² is given as follows:
1/2 + 3 = 0.5 + 3 = 3.5 = 7/2g².
The term with g is given as follows:
-4g/5.
The constant like terms are combined as follows:
7/2 + 1/4 = 14/4 + 1/4 = 15/4.
Hence the simplified expression is given as follows:
7g²/2 - 4g/5 + 15/4.
Meaning that the correct option is given by option A.
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Given (x – 7)2 = 36, select the values of x. x = 13 x = 1 x = –29 x = 42
Answer:
x = 1 , x = 13
Step-by-step explanation:
(x - 7)² = 36 ( take square root of both sides )
x - 7 = ± \(\sqrt{36}\) = ± 6 ( add 7 to both sides )
x = 7 ± 6
then
x = 7 - 6 = 1
x = 7 + 6 = 13
Simplify the expression by combining like terms.
4/3a - 1/2b + 1/3a + 5/2b
Answer: 5/3a + 4/2b
Step-by-step explanation:
\(\dfrac{4}{3} a-\dfrac{1}{2} b+\dfrac{1}{3} a+\dfrac{5}{2} b\)
Rearrange:
\(\dfrac{4}{3} a+\dfrac{1}{3} a-\dfrac{1}{2} b+\dfrac{5}{2} b\)
Combine Like Terms:
\(\dfrac{4}{3} a+\dfrac{1}{3} a=\dfrac{5}{3} a\\-\dfrac{1}{2}b+\dfrac{5}{2} b=\dfrac{4}{2} b\)
\(\fbox{$\dfrac{5}{3}$a + $\dfrac{4}{2}$b}\)
People use water to cook, clean, and drink every day. An estimate of 22.7% of the water used each day is for cooking. If a family uses 68.1 gallons of water a day for cooking, how many gallons do they use every day?
We know that 22.7% of this amount is used for cooking,the family uses 300.001 gallons of water every day.
What is gallons?
Gallon is a unit of measurement used to quantify liquid volume in both the US customary and British imperial systems of measurement.
Let's start by using algebra to solve the problem.
Let x be the total amount of water the family uses every day. We know that 22.7% of this amount is used for cooking, which means:
0.227x = 68.1
To solve for x, we can divide both sides of the equation by 0.227:
x = 68.1 ÷ 0.227
x = 300.001 (rounded to three decimal places)
Therefore, the family uses 300.001 gallons of water every day.
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URGENT CLICK TO SEE LINKS WILL GET REPORTED
Answer:
3
hope this helped
im soo srry i couldnt o this faster
Step-by-step explanation:
g(x)
10
8
6
4
2
fo
-10-8-64-22
-4
-6
-8
-10
f(x)
2 4 6
8 10 x
What is the equation of the translated function, g(x), i
f(x) = x²?
g(x) = (x-4)² +6
Og(x) = (x + 6)²-4
g(x) = (x-6)²-4
Og(x) = (x+4)² + 6
O
Therefore , the solution of the given problem of function comes out to be g(x) is given by g(x) = (x-4)² + 6
What does the term function refer to?The study of numbers, their variations, mathematics and the regional tissue, structures, and both their actual and imagined locations, is known as mathematics. A function is a mathematical representation of the relationship between a set of inputs, each of which has an associated output. A function is a group of inputs that, when combined, result in a single, recognized output for each input. Each function is given a city, town, or scope, which is frequently referred to as a realm.
Here,
Given the graph of the original function f(x), whose vertex is at (0, 0), and indeed the graph of the translating function g(x), whose vertex is at (0, 0), (5, 2).
Be aware that the translated function's vertex is 2 units higher and 5 units to the right of the f graph's graph (x).
The function f(x) is then translated 5 units toward the right и 2 units up to arrive at g(x).
Recall that provided a function, f(x), is characterized as a parabola with a vertex at (h, k).
=> f(x) = (x-h)² + k
The outcome of translating a unit to the right with b unit up is
=>f'(x) = (x-h-a)² + k + b
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Using log evaluate 3^x=10
Answer:
x ≈ 2.09590327429
Step-by-step explanation:
You want the solution to 3^x = 10 using logarithms.
LogsTaking logarithms of both sides of the given equation, we have ...
x·log(3) = log(10)
Dividing by the coefficient of x gives ...
x = log(10)/log(3)
x ≈ 2.09590327429
__
Additional comment
If the logarithm to the base 10 is used, then this becomes ...
x = 1/log₁₀(3)
The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.
For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.
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The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).
Taking the log of both sides, we get:
log(3^x) = log(10)
Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:
x * log(3) = log(10)
Next, we can divide both sides of the equation by log(3) to isolate the variable x:
x = log(10) / log(3)
Using a calculator, we can evaluate the right side of the equation:
x ≈ 1.46497
Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
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Given f(x) = 21 - 1, complete the missing values in the table
Answer:
first one is f(x)=-5
second one is f(x)=7
third one is x=-3
4th one is x=0
5th one is f(x)=1
6th one is x=-4
Step-by-step explanation:
first one. plug in x as -2:
f(x)=2*-2-1=-4-1=-5
second one is the same way:
f(x)=4*2-1=8-1=7
third one is a different one:
2x-1=-7
2x=-6
x=-3
4th one is the same way:
2x-1=-1
2x=0
x=0
5th way is the same thing as previous:
f(x)=2*1-1=2-1=1
Finally, the 6th one is the same thing as the 4th one:
2x-1=-9
2x=-8
x=-4
Done!
What is the value of r
Step-by-step explanation:
Vertical angles are equal r = 70 degrees
Adama rolls a die with faces labeled 1 through 10. If he rolls the die 40 times how many times would he expect it to land on a number less than 10?
Adama can expect the die to land on a number less than 10 about 36 times in 40 rolls.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is essentially what probability means.
The die has 10 faces, with numbers 1 through 10, but we are interested in the number of times it will land on a number less than 10. That means, there are 9 possible outcomes for each roll to be less than 10.
The expected number of times the die will land on a number less than 10 can be calculated by multiplying the probability of getting a number less than 10 on each roll by the total number of rolls.
The probability of getting a number less than 10 on each roll is 9/10, since there are 9 faces with numbers less than 10 out of the total of 10 faces.
Therefore, the expected number of times the die will land on a number less than 10 is:
E = (9/10) x 40 = 36
Therefore, Adama can expect the die to land on a number less than 10 about 36 times in 40 rolls.
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☆ 36 times.
— your in college ? im in seventh grade and got this question !
Complete the equation to show how to use the distributive property to express the sum of 30 + 45
with a greatest common factor
30 + 45 = ____ ( ____ + ____ )
Answers
15(2 + 3)
5(6 + 9)
75
1,350
you can continue to tranform 12=5x-3 into simpler form by adding 3 to both sides to get 15=5x when x =3 do youu get true statement
Answer:
yes
Step-by-step explanation:
12+3=5x-3+3
15=5x
15=5(3)
15=15
Identify the equations as parallel lines, perpendicular lines, or neither.
A. perpendicular
B. neither
C. parallel
Answer:
It's parallel. Both have a slope of 3 and they have different y intercepts
Step-by-step explanation:
here is your answer if you like my answer please follow
For each of the shapes below, state whether it is a regular polygon, an
irregular polygon or neither.
ASAAP NEED HELLPPP
Answer:
regular: Eirregular: A, B, Dneither: CStep-by-step explanation:
You want to identify the given shapes as a regular or irregular polygon, or neither.
Regular polygonA regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.
Polygon E is a regular polygon.
PolygonA polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.
Any simple polygon that is not a regular polygon is an irregular polygon.
Polygons A, B, D are irregular polygons.
CircleA circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.
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