Answer:
[tex]2(n-3)=2n-6[/tex]
Step-by-step explanation:
[tex]4(n-3)-2(-3+n)\\\\4(n-3)-2(n-3)\\\\(4-2)(n-3)\\\\2(n-3)[/tex]
Factor the common factor out of each expression.
-8b+4
Answer:
Common Factor is 4.
Step-by-step explanation:
-8b + 4
Both have a 4 in it.
-8b + 4 / 4 = -2b
solve for X: -4x - 4 = -4(x+2)
Step-by-step explanation:
X= -4x-4=-4(x+2)
X=-4x-4=-4x-8
X=-4x+4x=-8+4
X=-4
Answer:
so there is no x but it looks like it is undefined
Step-by-step explanation:
-4x - 4 = -4(x+2) 1. multiply -4 with x and 2
-4x - 4 = -4x - 8 2. + 4 on both sides
-4x = -4x - 4 3. +4x on both sides
0 = -4
The volume of a water walking ball is $\frac{4}{3}\pi$
cubic meters. Find the diameter of
the water walking ball.
A photo shows a small boy inside a water walking ball in a pool.
The diameter is
meters.
If the radius of the ball is 1 meter. Then the diameter of the ball will be 2 meters.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The volume of a water walking ball (in cubic meters) is given below.
[tex]\rightarrow\dfrac{4}{3}\pi[/tex]
Then the diameter of the sphere will be
We know the volume of the sphere is given as
[tex]V = \dfrac{4}{3}\pi r^3[/tex]
where r is the radius of the ball.
Then the radius of the ball will be
[tex]\rm \dfrac{4}{3}\pi = \dfrac{4}{3}\pi r^3\\\\r^3 \ = 1\\\\r \ \ = 1\ m[/tex]
Then the diameter of the ball will be
d = 2r
d = 2 × 1
d = 2 m
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please help me find unknown size of angles
TRUE OR FALSE:
The difference between permutations and combinations is whether the order of items matters.
The answer is...:
True
Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?
The pool must have been empty for the entire interval.
The pool must have been the same depth at the start of the interval as it was at the end of the interval.
The pool must have been deeper at the end of the interval than it was at the start of the interval.
The pool must have been more shallow at the end of the interval than it was at the start of the interval.
The correct answer is option B which is the pool must have been the same depth at the start of the interval as it was at the end of the interval.
What is the rate of change?The rate of change is defined as the changes that occur in any data with respect to time like changing of level of water respect to time. Changing of the position of any object with respect to time that is speed.
Here in the question, it is given that Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. The meaning of this statement is that the level of the water in the pool is the same as that of the level two weeks ago.
Therefore the correct answer is option B which is the pool must have been the same depth at the start of the interval as it was at the end of the interval.
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What is the value of f(g(1)
Composite functions is a way of substituting one function into another. The value of the composite function f(g(1)) is 1
Composite functionsComposite functions is a way of substituting one function into another.
Given the function expressed as:
y = 3√x + 1
g(1) from the mapping is 0
Substitute g(1) = 0 into the given function to have:
f(g(1)) = 3√0 .+ 1
f(g(1)) =0 + 1
f(g(1)) = 1
Hence the value of the composite function f(g(1)) is 1
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Write an explicit formula for an,the Nth term of the sequence 4,12,36
Answer:
[tex]3^{n}+3^{n-1}[/tex]
Step-by-step explanation:
Since the sequence is geometric (it multiplies the previous number each time). The nth term sequence would be [tex]x^n + yn[/tex]
Because the sequence multiplies by 3 each time, The base number in that equation would be [tex]3^n +yn[/tex].
So [tex]3^n[/tex] of the equation would be:
[tex]3, 9, 27[/tex].
Compare the 2 equations:
4, 12, 36
3, 9 ,27
The difference between the 2 equations is: 1, 3, 9 which itself is a geometric sequence so the nth term of this new equation is: [tex]3^{n-1}[/tex].
Combine these 2 equations together and you get:
[tex]3^{n}+3^{n-1}[/tex].
Felix’s Feed Mill sells chicken feed for $8.00 per bag. This price is no longer high enough to create a profit. Felix decides to raise the price. He is considering four different plans.
Plan A: Raise the price by $0.10 each week until the price reaches $12.00.
Plan B: Raise the price by 10 percent each week until the price reaches $12.00.
Plan C: Raise the price by the same amount each week for 8 weeks, so that in the eighth week the price is $12.00.
Plan D: Raise the price by $0.25 each week until the price reaches $12.00.
Which plan will result in the price of the feed reaching $12.00 fastest?
plan A
plan B
plan C
plan D
Answer:
B
Step-by-step explanation:
essentially the plan that increases the price the most per week reaches the goal of $12 fastest.
plan A is $0.10 per week.
plan B it is not clear, if it means 10% of the original price every week, or every week 10% of the price of the previous week. I assume the first and simplest.
that means 10% of $8 = $0.80 per week.
plan C : the same amount every week until reaching $12. we need to increase in total by $4 (from $8 to $12). to reach these $4 in 8 weeks, we need to increase the price every week by 4/8 = $0.50.
plan D : $0.25 per week.
so, the plan with the highest increase every week and therefore the fastest one reaching $12 is plan B.
Please answer this qjusetion. :)
The answer to number 1 is 20%.
The answer to number 2 is the top left box. She charges $100 for each one hour lesson.
If y varies directly as x and x=3 when y=12, find x when y=3
Answer:
Answer:
y = 4x
Step-by-step explanation:
Given that x and y vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = 3 when y = 12
k = = = 4
y = 4x ← equation of variation
what is blank % of 18 = 9
Answer:
50 percent, trust me.
Answer: 50%
Step-by-step explanation: 50/100 x 18 = 9
50/100 can also be written as 0.5
0.5 x 18 = 9
of = multiply
A broken scale shows a false weight that is always higher than the actual weight by
the same number of grams. When a mobile phone is put on the scale, it shows 202
grams. When an headphone is put on the scale, it shows 221 grams. When the mobile
phone and the headphone are put on the scale together, it shows 415 grams. What is
the actual weight of the mobile phone in grams?
The actual weight of the mobile in grams is 194 grams.
What is Equation?In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
As broken scale shows a false weight that is always higher than the actual weight by the same number of grams.
When a mobile phone is put on the scale, the real weight will be 'x'
but it shows,
x+a= 202
When an headphone is put on the scale, the real weight will be 'y'
but it shows,
y+a=221
When the mobile phone and the headphone are put on the scale together, the weight is
x+y+a= 415
So,
x+221=415 [Since y+a= 221 grams]
x= 194 grams
The actual weight of the mobile phone in grams is 194 grams.
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how to solve this equation its complicated
Answer:
x(adjucent ) = 3.8
Step-by-step explanation:
okay so you are been giving me a left angle triangle so what you are supposed to do is that the longest part which is indicated 7.4 is called the hypothesis whiles the other side indicated 3.6 is called the opposite and the down part is the adjacent. so to find the adjacent your formula is opposite + adjacent = hypothesis .
so therefore we can see that
3.6 + x = 7.4
x = 7.4 - 3.6
x = 3.8
Can someone please help me out with this question?
Answer:
Dependent
Step-by-step explanation:
Since the marble is not returned, the result of the second probability is dependent upon which marble was 1st drawn.
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What is the best way to describe the center of the data represented in this line plot?
Select from the drop-down menus to correctly complete the statement.
The
median
mean
is
1 inch
1.5 inch
1.8 inch
2 inches
Line plot titled Daily Rainfall. The number line is labeled Number of inches. There are 3 dots above 0, 3 dots above 1, 1 dot above 2, 1 dot above 3, 1 dot above 4, and 1 dot above 6.
.
Answer:
Mean = 1.8 in
Step-by-step explanation:
MedianThe Median is the middle value when all data values are placed in order of size.
Ordered data values: 0, 0, 0, 1, 1, 1, 2, 3, 4, 6
As there is an even number of data values, the middle value is the mean of the middle two data values. Therefore, the Median = 1 in
MeanThe Mean is the sum of all data values divided by the total number of data values.
[tex]\implies \textsf{Mean}=\dfrac{0+0+0+1+1+1+2+3+4+6}{10}=1.8[/tex]
Therefore, the Mean = 1.8 in
ConclusionThe Median is a better measure of central tendency when the data includes outliers (data values that are far away from the majority), as it is not affected by those outliers. As there does not appear to be any outliers in this data set, the mean can be used to best describe the center of the data.
Therefore, the Mean = 1.8 in
Which graph shows the solution to the system of linear inequalities?
2x – 3y <12
y < –3
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything below the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything above the line is shaded.
On a coordinate plane, 2 lines are shown. The first dashed straight line is horizontal to the y-axis at y = negative 3. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (3, negative 2). Everything below the line is shaded.
Since the graph was not given, answer will be subjective. The graph that shows the solution to the system of linear inequalities of 2x – 3y <12 y < –3 is the one that has It is option B.
What is linear inequalities?A linear inequality is said to be a kind of an inequality that entails a linear function.
Note that a linear inequality is said to be made up of one of the symbols that connote inequality. It is the one that depicts the data that is not equal on a graph.
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Answer:
The correct answer is Graph B
Step-by-step explanation:
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A farmer has hens, this hen composes 2500 eggs every month. A farmer has 2500 eggs a month, 25% of these eggs are sold in restaurant. How much is the total number of eggs sold in the restaurant, if 35 eggs are sold in the restaurant.
Answer:
625 eggs are sold in a restaurant
2500-100%
x- 25%
62500=100x
x=625 eggs
Answer:
21875
Step-by-step explanation:
25% x 35 x 2500
= 0.25 x 35 x 2500
=21875
|z-7|-|z-9| if z<7
PLSSS QUICKLY HELP
Answer:
-2
Step-by-step explanation:
One winter day, the temperature ranged from a high of 20F to a low of -2F. By how many degrees did the temperature change?
Answer:
22 degrees F
Step-by-step explanation:
[tex]20--2=20+2[/tex]
Subtracting a negative number makes the sign positive, so 20 + 2 = 22 degrees F.
Ms. Wink bought a helmet for $97.95, a loek for $12.39, and a pump for $8.50. The tax was $3.82. How much change did she receive from 2 fifty-dollar bills?
Answer:
I dont think 2 50 doallr bills is gonna work
Step-by-step explanation:
all of this added togather is 122.66 and 2 50 is a 100 so yah
Using the following figure select all statements that are TRUE. (Write the number of the statement and separate them with a comma)
Answer:
3
Step-by-step explanation:
what is the area of a triangular prism?
Answer:
14! i think :D
Step-by-step explanation:
im probly worngg TvT
Write the standard form of the equation
Answer:B
Step-by-step explanation:
How many solutions does the following equation have? 14(8x −4) = 2x + 1
Which of the following pairs of numbers has 16 as their greatest common factor?
32, 48
32, 48
32, 62
32, 62
48, 36
48, 36
42, 16
42, 16
Answer:
32, and 48. This is the greatest factor of 16
explain how to correctly find the missing side.
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Let's check Pythagorean theorem
A²+B²=C²A is perpendicular
B is base
C is Hypotenuse
A²+4²=13²A²+16=169A²=153A=3√17Answer:
[tex]3 \sqrt{17}[/tex]
Step-by-step explanation:
The given triangle is a right triangle. Therefore, we can use Pythagoras Theorem to find the measure of the third side.
Pythagoras Theorem
[tex]a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right trianglec is the hypotenuse (longest side) of the right triangleFrom inspection of the given triangle:
a = 4c = 13To calculate the measure of the third side "b", substitute the given values into the formula and solve for b:
[tex]\begin{aligned}a^2+b^2 & = c^2\\\implies 4^2+b^2 & = 13^2\\16+b^2 & = 169\\16+b^2-16 & = 169-16 \\b^2 & = 153\\\sqrt{b^2} & =\sqrt{153}\\b & = \sqrt{9 \cdot 17}\\b & = \sqrt{9}\sqrt{17}\\b & = 3\sqrt{17}\end{aligned}[/tex]
Therefore, the measure of the third side of the given right triangle in simplest radical form is [tex]3 \sqrt{17}[/tex].
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A cylinder and a cone have the same radius and height. The volume of the cylinder is 150 in^3. What is the volume of the cone?
Answer:
50 cm³
Step-by-step explanation:
Given volume of cylinder is 150 in³
we know that The volume of cone 1/3rd of cylinder.
Then volume of cone is 150/3 = 50 cm³
6 cookies cost $3.60. What is the cost of 20 cookies?
Answer:
20 cookies - $ 12
Step-by-step explanation:
6 cookies - $3.60
20 cookies - X
X = (20 · 3,60) : 6
X = $ 12
Answer:
$12
Step-by-step explanation:
let the cost of 20 cookies= y
ok!!!
since 6 cookies ---------------$3.60
20 cookies will cost--------- y
making y subject
y= 3.60×20/6
y= 72/6=$12
therefore, 6 cookies will cost $ 12
Out of a population of 1,500 students, 100 were asked by a random sampling to choose their favorite national park. their responses are shown in the table below. national parks favorite park number of students acadia 19 carlsbad caverns 14 rocky mountain 30 grand canyon 23 yosemite 14 using proportional reasoning, about how many students out of the 1,500 would you expect to pick yosemite for their favorite national park? 14 86 210 244
Answer:
210
Step-by-step explanation:
the sample is one 15th of the total population, and thus Yosemite's 14 should be scaled back by 15
1500/100 = 15
15 * 14 = 210
Answer:
210
Step-by-step explanation:
I did the test