Answer:
Step-by-step explanation:
y = 2x + 4a/6b y=(12xb+4b )/6b
6yb=12x+4a
a=(-12xb+6yb)/4=
a=3yb/2 -3xb
x=y/2-a/3b
b=2a/(3y-6x)
the solution is for every variable
Together, two apples have 1/5 gram of fat. How many apples have a total of 4 grams of a
apples
Answer:
40 apples
Step-by-step explanation:
2 apples= [tex]\frac{1}{5}[/tex] grams
x apples= 4 grams
8/[tex]\frac{1}{5}[/tex] = 8 x 5/1=40
Answer:
40
Step-by-step explanation:
edu instruction correct
To decrease a number by 40%, what do we multiply by???
Answer:
Step-by-step explanation:
to decrease a number by 40% i would do
100% = number you got
50% divide by 2
10%= dived 100% number by 10 then take the 10% away from the 50% to get 40%
then take the 40% away from the 100%
hope this helps :)
Pls help w this question
Answer:
f(x) = -2x + 1
Step-by-step explanation:
The given expression is [tex]\frac{64^x}{4^{5x-1}}[/tex]
By solving the given expression further,
[tex]\frac{64^x}{4^{5x-1}}[/tex] = [tex]\frac{[(4)^{3}]^x}{(4)^{5x-1}}[/tex] [Since 64 = 4³]
= [tex]\frac{4^{3x}}{4^{5x-1}}[/tex]
= [tex]4^{3x}\times 4^{-(5x-1)}[/tex] [Since [tex]\frac{1}{a}=a^{-1}[/tex]]
= [tex]4^{3x-5x+1}[/tex] [Since [tex]a^x\times a^y=a^{(x+y)}[/tex]]
= [tex]4^{(-2x+1)}[/tex]
By comparing the result with [tex]4^{\text{f(x)}}[/tex]
f(x) = -2x + 1
Therefore, f(x) = (-2x + 1) will be the answer.
Help please ty ty Appreciate it
Answer:
a. 113.1 cm^3.
b. 339.29 cm^3.
c. 18 cm.
d. 508.94 cm^3.
e. 169.65 cm^3.
Step-by-step explanation:
a. (4/3) * pi * (3^3) = (4/3) * pi * 27 = 36 * pi = 113.0973355, which is about 113.1 [tex]cm^{3}[/tex].
b. 113.0973355 * 3 = 339.2920066, which is about 339.29 cm^3.
c. Since the radius of a tennis ball is 3 cm, the diameter is 6 cm. There are three tennis balls, and the diameters added up become the height of the cylinder. 6 + 6 + 6 = 18 cm.
d. pi * (3^2) * 18 = pi * 9 * 18 = pi * 162 = 508.9380099, which is about 508.94 cm^3.
e. 508.9380099 - 339.2920066 = 169.6460033, which is about 169.65 cm^3.
Hope this helps!!
☆*☆=3x, if x is even and negative OR ☆*☆=4x, if x is odd. Following the rule above, what is the value of ☆ - 23 ☆?
A. 92
B. -92
C. 529
D. -529
Answer:
okay... Thanks have a great day!
Winter temperatures tend to be cold in the city of Johnstown. The table of values represents the temperature of Johnstown during one winter week.
t | f(x)
(days)| (°F)
____|_____________
1 | 6
2 | 5
3 | 1
4 | -2
5 | -1
6 | 0
7 | -3
Part A
Use the table to approximate the key features of the function. Find the extrema, zeros, end behavior, increasing and decreasing intervals, and positive and negative intervals.
Part B
Interpret the key features from part A in the context of the problem.
Part C
Interpret the domain and the range of the function in the context of the problem.
Answer:
Part A Part B Part C explained
Step-by-step explanation:
PART A: Extrema: relative minimums (4,-2) and maybe (7,-3) (uncertain because it’s an endpoint), relative maximums (6,0) and maybe (1,6) (uncertain because it’s an endpoint)
Zeros: (6,0), somewhere between t = 3 and t = 4 since the graph changes from positive to negative, and somewhere possibly between t = 6 and t = 7 unless the graph hits (6,0) and stays negative.
End behavior: We can guess that as x approaches infinity, the functions approaches negative infinity, and as x approaches negative infinity, the function approaches infinity.
Intervals of increase and decrease: Increasing on (4, 6), decreasing on (1, 4) and (6, 7)
PART B: The relative minimums indicate that the two lowest temperatures occurred on day 4 at -2°F and day 7 at -3°F. The relative maximums indicate that the weekly highs were day 1 at 6°F and day 6 at 0°F.
The zeros of the function represent when the temperature in Johnstown was 0°F. This happened sometime between days 3 and 4 and on day 6.
In the context of the problem, it doesn’t make sense to go an infinite number of degrees below zero. And, the end behavior is ignored because of the restricted range.
The intervals of increase indicate when the temperature is rising, and the intervals of decrease indicate when the temperature is dropping. The intervals where the values are positive indicate when the temperature is above 0°F. The intervals where the values are negative indicate when the temperature is below 0°F.
PART C: The domain is restricted to the number of days the town recorded the temperature. So, the domain is [1, 7].
The range represents the range of temperatures of Johnstown over the course of one week. So, the range is [-3, 6].
Answer:
Part A was missing the last so this is the correct answer.
Extrema: relative minimums (4,-2) and maybe (7,-3) (uncertain because it’s an endpoint), relative maximums (6,0) and maybe (1,6) (uncertain because it’s an endpoint)
Zeros: (6,0), somewhere between t = 3 and t = 4 since the graph changes from positive to negative, and somewhere possibly between t = 6 and t = 7 unless the graph hits (6,0) and stays negative.
End behavior: We can guess that as x approaches infinity, the functions approach negative infinity, and as x approaches negative infinity, the function approaches infinity.
Intervals of increase and decrease: Increasing on (4, 6), decreasing on (1, 4) and (6, 7)
Positive and negative intervals: Positive from 1 to somewhere between t = 3 and t = 4, and negative from somewhere between t = 3 and t = 4 to t = 6, and from some point after t = 6 to t = 7.
But other than that everything else was correct and thank you.
Step-by-step explanation:
6) Which expressions are equivalent to 12x + 36y? Choose ALL that apply.
12(x + 3y)
9(3x + 4y)
6(2x + 6y)
4(3x + 9y)
2(6x + 24y)
3(4x + 12y)
the 1st one
third one
fourth one
the last one
each of the equation has one of the common factor out
12(x + 3y), 6(2x + 6y), 4(3x + 9y) and 3(4x + 12y) are the equivalent expressions of 12x + 36y.
What is Expression?An expression is combination of variables, numbers and operators.
Equivalent expressions are expressions that work the same even though they look different.
The given expression is 12x + 36y.
Twelve times of x plus thirty six times of y.
When we solve each expression we have to get 12x + 36y.
1. 12(x + 3y)- Equivalent expression
By distributive property
=12x+36y
2. 9(3x + 4y)- Not Equivalent expression.
27x+36y
3. 6(2x + 6y)- Equivalent expression
12x+36y
4. 4(3x + 9y)-Equivalent expression
5. 2(6x + 24y)- Not Equivalent expression.
12x+48y
6. 3(4x + 12y)-Equivalent expression
12x+36y
Hence, 12(x + 3y), 6(2x + 6y), 4(3x + 9y) and 3(4x + 12y) are the equivalent expressions of 12x + 36y.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ5
A game is played using one die. if the die is rolled and shows 6, the player wins $20. if the die shows any number other than 6, the player wins nothing.
a. if there is a charge of $4 to play the game, what is the game's expected value?
$______(round to the nearest cent)
b. choose the statment below that best describes what this value means.
Choose one!
a. over the long run, the player can expect to lose about this amount for each game played
b. over the long run, the player can expect to win about this amount for each game playedc. over the long run, the player can expect to break even.
A game is played using one die. If the die is rolled and shows 1, the player wins $5. If the die shows any number other than 1, the player wins nothing. If there is a charge of $1 to play the game, what is the game's expected value?
--------------------
Let random variable "x" be a count of player gain.
X-values are: 4, -1
P(x=4) = 1/6; P(x= -1) = 5/6
---------------------------------
E(x) = (1/6)(4) + (5/6)(-1)
E(x) = [4-5]/6
E(x) = -1/6 = -17 cents
=============================
Cheers,
Find each difference.
(6y4+3y2-7)-(12y4-y2+5)
Answer:
-6y^4 + 4y^2 - 12.
Step-by-step explanation:
(6y^4 + 3y^2 - 7) - (12y^4 - y^2 + 5)
= 6y^4 + 3y^2 - 7 - 12y^4 + y^2 - 5
= 6y^4 - 12y^4 + 3y^2 + y^2 - 7 - 5
= -6y^4 + 4y^2 - 12.
Hope this helps!
The number of representatives of a multi-level marketing company as a function of the number of days that have passed can be modelled by the exponential function R(d). About how many representatives does the company have after 75 days have passed if R(d) =150(1.03)^d
Answer:
About 1377 representatives.Step-by-step explanation:
If the number of representatives of a multi-level marketing company as a function of the number of days that have passed can be modeled by the exponential function R(d) = 150(1.03)^d, to calculate the number of representatives that the company have after 75 days, we will substitute d = 75 into the modeled equation.
R(75) = 150(1.03)^75
R(75) = 150*9.1789
R(75) = 1,376.835
Hence, the company have about 1377 representatives after 75 days.
What is the slope of the line in the graph? A.2 B.1/2 C.-2 D.-1/2
Step-by-step explanation:
bhdjdjsjshhdfhfbtvyvyvjdjshdjfy
What is the y-intercept of the function, represented by the table of values
below?
x
у
-2
16
1
4.
2
0
4
-8
7
-20
Answer:
8
Step-by-step explanation:
The y-intercept (b) of the function is the point at which the line of the graph of the given values of the table above crosses the y-axis, for which x = 0.
To find the y-intercept of the function represented by the tables, recall the equation of a straight line which is given as:
y = mx + b
Where, m is the slope = (y2 - y1)/(x2 - x1)
b = the y-intercept we are to find
y and x could be any values of a point on the graph which is represented in the table of values.
First, let's find the slope (m):
Let's use any 2 given pairs of the values in the table above.
Using,
(1, 4), (2, 0),
y1 = 4,
y2 = 0
x1 = 1
x2 = 2
m = (0 - 4)/(2 - 1)
m = -4/1 = -4
=>Using, y = mx + b, let's find the y-intercept (b), taking any of the coordinate pairs from the table of values given.
Let's use, (1, 4) as our x and y values.
Thus,
4 = -4(1) + b
4 = -4 + b
Add 4 to both sides to solve for b
4 + 4 = -4 + b + 4
8 = b
y-intercept of the function represented by the table of values = 8
Find the value of x.
Answer:
x = 84°Step-by-step explanation:
A radius to the tangent point always forms a right angle with the tangent.
m∠OAB = m∠OCB = 90°
[tex]m\angle AOC=\stackrel{\big{\frown}}{ADC}=96^o[/tex]
The sum of the angles in the quadrilateral is 360°, so:
x = 360° - 2•90° - 96° = 84°
A Little League baseball coach wants to know if his team is representative of other teams in scoring runs. Nationally, the average number of runs scored by a Little League team in a game is 5.7. He chooses five games at random in which his team scored 5 , 9, 4, 11, and 8 runs. Is it likely that his team's scores is different from the national distribution
Answer:
Yes, it is likely due to the significant difference in their average scores.Step-by-step explanation:
The average number of runs scored by a Little League team in a game is 5.7. If he chooses five games at random in which his team scored 5 , 9, 4, 11, and 8 runs, their average score of the five games is expressed as shown;
Average score of 5 games = (5+9+4+11+8)/5
Average score of 5 games = 37/5
Average score of 5 games = 7.4
Comparing the average score in 5 games to the the average number of runs scored nationally, it can be seen that their difference is 7.4 - 5.7 which is 1.7. Since the difference is quite significant, then it is most likely that his team's scores is different from the national distribution.
Need help ASAP find the value of x
Answer:
32 degrees
Step-by-step explanation:
The interior angles of a triangle always add up to 180.
Subtract the sum of 106 and 42 from 180.
180-(106+42)
180-(148)
32
x is equal to 32 degrees.
Given: XY - tangent to circles k1(P) and k2(O) OX=16, PY=6 and OP=26 Find: XY
Answer:
the answer is XY = 24 units.
Step-by-step explanation:
Given:
XY is tangent to the circles with center P and O respectively.
OX=16 units
PY=6 units
OP=26 units
To find:
Side XY = ?
Solution:
As per given statement, the diagram of two circles and their tangent is shown in the diagram.
We need to do one construction here,
Draw a line parallel to tangent XY from P towards OX such that it meets OX at A .
Now, let us consider triangle [tex]\triangle OAP[/tex]. It is a right angled triangle.
With sides Hypotenuse, OP = 26 units
Perpendicular, OA = 16 -6 = 10 units
Base AP is equal to XY.
If we find the value of Base AP, the value of XY is calculated automatically.
Let us use pythagorean theorem in [tex]\triangle OAP[/tex]:
According to pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow OP^{2} = AP^{2} + OA^{2} \\\Rightarrow 26^2=XY^2+10^2\\\Rightarrow XY^2 = 676- 100\\\Rightarrow XY = \sqrt{576}\\\Rightarrow XY = 24\ units[/tex]
Hence, the answer is XY = 24 units.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
-2
Step-by-step explanation:
when setting up the synthetic division
it starts with -1(2) = -2
À television ser costs $350 cash. When
bought on hire purchase, a deposit of $35 is
required, followed by 12 monthly payments
of $30. How much is saved by paying cash
Answer:
$45.
Step-by-step explanation:
When the TV is bought on hire purchase, you deposit $35 and pay $30 monthly. There are 12 payments. 12 * 30 = $360. 360 + 35 = $395.
Since cash would've cost $350, the amount of money saved by paying cash is 395 - 350 = $45.
Hope this helps!
Use the interactive number line to find the sum.
-5.5 + 3.7 =
Answer: -1.8
Step-by-step explanation:
Start at -5.5 and move the point on the number line up 3.7 spaces.
Hope it helps <3
Answer:
Your correct answer is -1.8
Step-by-step explanation:
−5.5 + 3.7
= −5.5+3.7
= −1.8
Given: x + 2 < -5. Choose the solution set.
Answer:
x < -7
Step-by-step explanation:
to isolate x we need to subtract 2 from both sides. -5-2 is -7, so the answer is x < -7
Answer:
x< −7
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
x+2-(-5)<0
Step by step solution :
STEP 1:
Solve Basic Inequality :
1.1 Subtract 7 from both sides
x < -7
Inequality Plot :
1.2 Inequality plot for
x + 7.000 < 0
In the given graph of a cubic polynomial, what are the number of real zeros and complex zeros, respectively?
Answer: 1 real and 2 complex.
Step-by-step explanation:
A cubic polynomial is written as:
a*x^3 + b*x^2 + c*x + d
And the zeros are such that:
a*x^3 + b*x^2 + c*x + d = 0
As the degree of the polynomial is 3, then we have 3 solutions (where some of them may be equal)
Now, an easy way to see the real and complex zeros of a polynomial is:
If after a change in curvature, the line touches the x-axis : that is a real zero
if it does not, then there we have a complex zero.
Here we can see two lines that do not touch the x-axis and one line that does touch the x-axis.
Then we have 2 complex zeros and one real zero.
Please Show your work and Solve. What is the answer to these 5 questions?
(1) -X + 4 = -2X - 6
(2) 4R - 4 = 3R + 10
(3) 2Y - 3 = Y - 4
(4) Ryan is X years old. Two times his age plus fifteen equals thirty-seven minus two. Write and equation showing how old Ryan is. Solve if you can.
(5) Andy is two fifths of Ruth's age. Ruth is ten. How old is Andy?
Step-by-step explanation:
I answered the first three in your next question :)
4) 2x + 15 = 37
Subtract 15
2x = 12
Divide by 2
x = 6
Ryan is 6 years old
5) A = 2/5(10)
A = 4
Andy is 4 years old
Hope it helps <3
An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each other. One airplane is 150 miles from the point and has a speed of 300 miles per hour. The other is 200 miles from the point and has a speed of 400 miles per hour.
(a) At what rate is the distances between the planes decreasing?
(b) How much time does the air traffic controller have to get one of the planes on a different flight path?
Answer:
(a) D(t) = 250t -500 miles
(b) Controller has 2 hours, but including time for pilots to divert course or altitude.
Step-by-step explanation:
Given:
two planes at same altitude heading in a collision course.
Plane A at 400 miles from collision point at 200 mph
Plane B at 300 miles from collision point at 150 mph.
Theoretical collision happens in
t = 400/200 = 300/150 = 2 hours
Distance ya of plane A from collision point as a function of time in hours
ya(t) = 400 -200t
Distance yb of plane B from collision point as a function of time in hours
yb(t) = 300-150t
(a) Distance between two planes,
Since the two planes are on courses perpendicular to each other, will need using pythagorean theorem
D(t) = sqrt(ya(t)^2+yb(t)^2)
= sqrt((400-200t)^2+(300-150t)^2)
= 250(t-2)
D(t) = 250t -500 miles
b. time available
Time until D(t) = 0
solve D(t) = 0
D(t) = 0
250(t-2) = 0
t = 2 (two hours)
Answer:
a) -500 mph
b) 1/2 h
Step-by-step explanation:
a)[tex]\frac{ (150(-300))+(200(-400))}{\sqrt{150x^{2} +200^{2} } }[/tex]
b) [tex]\frac{\sqrt{150^{2}+200^{2} } }{500}[/tex]
Find z0.05. -1.645 0.4801 0.5199 1.645
Answer:
z(0.05) = -1.645
Step-by-step explanation:
z(0.05) = -1.645 is the left tail of the normal probability curve with 5% of the area under the curve.
Answer:1.645
Step-by-step explanation:
plzzz helpp ASAP 1. Why is it important to know what the limitations of a particular model are? A. so you can create a prototype based on your model B. so you don't make the mistake of confusing an object and a system C. so you can revise your model to represent every property of the real thing D. so you don't confuse properties of the model with properties of the real thing
2. Mathematical and computer models are similar because both involve _____. A. using calculations to represent an object or system B. comparisons between an object or system and something familiar C. building a complex object or system isolated from the natural world D. creating real-life objects that show features of the modeled object or system
3. Some models can illustrate a system. What does the term system refer to? A. a collection of interacting things B. a set of rules or laws about things C. something with advantages and limitations D. something illustrating parts of a real-life thing
4. J.J. Thomson's Plum Pudding Model is an example of _____. A. a picture B. an analogy C. a prototype D. a mathematical model
5. An advantage of describing a cell as being like a factory is that it _____. A. makes cells easier to understand B. shows the limitations of cells clearly C. prevents having to study the complexities of cells D. is cheaper to do experiments in a factory than on a cell
6. Scientists like using models because they are often _____ than the real thing. A. more accurate B. more enjoyable to study C. cheaper and more complex D. cheaper and easier to work with
7. An advantage of J.J. Thomson's Plum Pudding Model was that it _____. A. was a much less expensive way to study atoms B. simplified the calculations necessary to describe an atom C. clearly explained where electrons were located in an atom D. is much less expensive to bake a plum pudding than to look at an atom
8. A small clay model of a volcano is an example of _____. A. an analogy B. a prototype C. a physical model D. a computer model
9. An advantage of using a model instead of the real thing is that models _____. A. include better detail B. can be easier to change C. are much more interesting to study D. don't include any features of the real thing
Answer:
D. so you don't confuse properties of the model with properties of the real thing.
2-Mathematical and computer models are similar because both involve using calculation to represent an object or system
3- Some models can illustrate a system. What does the term system refer to
A. a collection of interacting things
4-J.J. Thomson's Plum Pudding Model is an example of _____B. an analogy
5. An advantage of describing a cell as being like a factory is that it _____
A. makes cells easier to understand
6- C. cheaper and more complex
7-C. clearly explained where electrons were located in an atom
8-C. a physical model
9-B. can be easier to change
GOOD LUCK
If you flip a coin three times in the air, what is the probability that tails lands up all three times? A. 1/2 B. 1/8 C. 1/4 D. 1/6
Answer: A) 1/2
Step-by-step explanation:
Answer:
If you flip a coin three times in the air, what is the probability that tails lands up all three times?
Step-by-step explanation:
1/2
What is the x-intercept of the line 4x - 3y = 16?
What is the x-intercept of the line 10x - 5y = 40?
What is the x-intercept of the line y = -3x - 9?
Answer:
1.
[tex](x , y) = (4 ,\: 0)[/tex]
2.
[tex](4,0) = (x,y)[/tex]
3.
[tex](x,y) = ( - 3,0)[/tex]
I hope it helps :)
What did you multiply together to find the sales tax?
Answer:
Step-by-step explanation:
To find the sales tax on a purchased or sold item, first convert the sales tax percentage into the equivalent decimal fraction. If the sales tax rate is 5.5%, then the desired decimal fraction is 0.055. Next, multiply the selling price of the purchased or sold item by this decimal fraction. If, for example, the selling price is $100, the sales tax is 0.055($100) = $5.50
help me with this I'm stuck I will give you branliest
Answer:
d = 9
Step-by-step explanation:
Use the slope formula to calculate m and equate to m = 3
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(d, 21)
m = [tex]\frac{21-6}{d-4}[/tex] = [tex]\frac{15}{d-4}[/tex] = 3 ( multiply both sides by d - 4 )
3(d - 4) = 15 ( divide both sides by 3 )
d - 4 = 5 ( add 4 to both sides )
d = 9
Maria rotated the triangle 90 degrees clockwise about the origin. What is the new triangle?
Answer:
A’B’C’
Step-by-step explanation:
Well if triangle ABC is rotated 90 degrees clockwise around the origin it will turn right to create triangle A’B’C’.
