Step-by-step explanation:
X-intercept is where the line crosses the x-axis or where y = 0
So, put y = 0 in the given equation
4x + 2(0) = 12
4x = 12
x = 12/4
x = 3
if a right circular cylinder and oblique cylinder both have a height of 15 inches and diameter of 6 inches, do they have the same volume?
Answer:
Yes, they both have a volume of 423.9 inches cubed.
Step-by-step explanation:
Both cylinders have the same volume formula V=(pi)(r^2)(h)
d/2=r=3
h=15
so, (3.14)(9)(15)=423.9
The volume of each cylinder is 423.9
Find the 14th term of the geometric sequence 10, 20, 40, ...
The 14th term of the geometric sequence 10, 20, 40, ... is 81920.
What is geometric sequence?"A geometric sequence is a special type of sequence. It is a sequence in which every term (except the first term) is multiplied by a constant number to get its next term."
The geometric sequence formulas include the formulas for finding its nth term and the sum of its n terms. We will see the geometric sequence formulas related to a geometric sequence with its first term 'a' and common ratio 'r' (i.e., the geometric sequence is of form \(a, ar, ar^{2},ar^{3} ,.............\)). Here are the geometric sequence formulas.
\(a_{n}=ar^{n-1}\)
Given geometric sequence
10, 20, 40, .........
From the given sequence
\(a_{1} = 10\), \(a_{2} = 20\), \(a_{3} = 40\)
Using the formula \(a_{n}=ar^{n-1}\)
⇒ \(a_{4} = 10(2)^{3} =80\)
⇒ \(a_{5} = 10(2)^{4} =160\)
⇒ \(a_{6} = 10(2)^{5} =320\)
⇒ \(a_{7} = 10(2)^{6} =640\)
⇒ \(a_{8} = 10(2)^{7} =1280\)
⇒ \(a_{9} = 10(2)^{8} =2560\)
.
.
.
⇒ \(a_{14} = 10(2)^{13} =81920\)
Hence, the 14th term of the geometric sequence 10, 20, 40, ... is 81920.
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25 POINTS!! Which of the following shows the number 10,000 written as a number having just three significant digits?
A. 1.000 x 10 to the 4rd power
B. 1.00 x 10 to the 4th power
C. 1.0 x 10 to the 4th power
D. 1 x 10 to the 4th power
Answer:
B. 1.00 x 10 to the 4th power
Step-by-step explanation:
according to the empirical rule, what percentage of data in a typical normal distribution (bell-shaped) lies within one standard deviation from the mean?
Approximately 68% of the data in a normal distribution lies within one standard deviation from the mean according to the empirical rule.
According to the empirical rule, which applies to a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. Specifically, 68.27% of the data falls within one standard deviation of the mean, which means that if the distribution is bell-shaped, the data is symmetrically distributed around the mean and most of the data is clustered within one standard deviation from the mean.
The empirical rule also states that approximately 95% of the data falls within two standard deviations of the mean, and about 99.7% of the data falls within three standard deviations of the mean.
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i have no idea what to do please help it was due on friday please please help
Answer:
sin Z = 4/5
sin C = 24/25
cos A= 4/5
tan Z = 4/3
Step-by-step explanation:
1.)sin Z = O/H
sin Z = 36/45 = 4/5
sin Z = 4/5
2.)sin C = O/H
sin C = 48/50 = 24/25
sin C = 24/25
3.)cos A = A/H
cos A = 40/50 = 4/5
cos A= 4/5
4.)tan Z = O/A
tan Z = 24/18 = 4/3
tan Z = 4/3
-TheUnknownScientist
the red team has two bean bags on the board and one in the hole, the blue team has one bean bag in the hole. how many points did the red team score?
If the red team has two bean bags on the board and one in the hole, the blue team has one bean bag in the hole, the red team will score 5 points.
Therefore, the answer is 5.
In this game, a bean bag on the board scores 1 point and a bean bag in the hole scores 3 points.
Here the red team has two bean bags on the board and one in the hole, so their score can be calculated by
Sr = 2 × 1 + 1 × 3
Sr = 5
Here the blue team has one bean bag in the hole, so their score can be calculated by
Sb = 0 × 1 + 1 × 3
Sb = 3
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A project has an initial cost of $30 million.The project is expected to generate a cash flow of $2.85 million at the end of the first year.All the subsequent cash flows will grow at a constant growth rate of 3.85% forever in future.If the appropriate discount rate of the project is 11%,what is the profitability index of the project? a.1.917 b.1.328 c.1.387 d.1.114 ortcehov e. None of the above
Profitability index is 1.387. Thus, the correct option is (c) 1.387.
The formula for calculating the profitability index is:
P.I = PV of Future Cash Flows / Initial Investment
Where,
P.I is the profitability index
PV is the present value of future cash flows
The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.
The present value of cash flows can be calculated using the formula:
PV = CF / (1 + r)ⁿ
Where,
PV is the present value of cash flows
CF is the cash flow in the given period
r is the discount rate
n is the number of periods
For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.
Substituting the values, we get:
PV = 2.85 / (1 + 0.11)¹ = $2.56 million
To calculate the present value of all future cash flows, we can use the formula:
PV = CF / (r - g)
Where,
PV is the present value of cash flows
CF is the cash flow in the given period
r is the discount rate
g is the constant growth rate
For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.
Substituting the values, we get:
PV = 2.85 / (0.11 - 0.0385) = $39.90 million
The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.
PV of future cash flows = $39.90 million + $2.56 million = $42.46 million
Profitability index (P.I) = PV of future cash flows / Initial investment
= 42.46 / 30
= 1.387
Therefore, the correct option is (c) 1.387.
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what is the simplified value of 1/3 divied by 2/3
Answer:
1/2 or 0.5
Step-by-step explanation:
1/3 divided by 2/3
1/3 times 3/2
3/6
1/2, or 0.5
Answer:
1/2
Step-by-step explanation:
1/3 ÷2/3= 1/3×3/2( this is because fractions cannot be divided and the reciprocal of the fraction by which 1/3 had to be divided has to be taken which makes 2/3 as 3/2 and division as multiplication)
so, 1/3×3/2 gives 3/6, when simplified, gives 1/2.
3,500x(1+.0125/2)^(2x2)=
3588.3 thats the answer
solve the l part elvira has a penny collectinon she wants to share her penny collection with three of her friends how many pennies will each girl including elivira haveif there are 3600 pennies
Answer:
900 pennies
Step-by-step explanation:
Since there are four girls if you include Elvira, divide the total of pennies by the number of girls.
Hope this helps :)
Mr. Daly, a chemistry teacher needs 10 liters of a 20% saline solution for his afternoon class. Unfortunately, the only mixture he has is a 5% saline and a25% saline solution. How much of each solution should he mix to produce the 20% solution?
Answer:
2.5L of 5% saline and 7.5L of 20% saline solution
Step-by-step explanation:
Solve for x.
F
X =
B
H
(13x + 79)°
I (17x + 67)°
C
E
G
The value of the x is 7.133 degree.
What is parentheses?
A phrase, word, or sentence added to writing as more information or an afterthought is known as a parenthesis. It is emphasised with bracketed text, commas, or dashes. He had been a fan of Rockingham Rovers since he was five years old, as an illustration.
(13 x+79)+(17 x+67)=360
Remove parentheses: (a)=a
13 x+79+17 x+67=360
Group like terms
13 x+17 x+79+67=360
Add similar elements: 13 x+17 x=30 x
30 x+79+67=360
Add the numbers: 79+67=146
30 x+146=360
Move 146 to the right side
30 x=214
Divide both sides by 30
\(\frac{30 x}{30}=\frac{214}{30}\)
Simplify
\(x=\frac{107}{15}\)
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HELP PLEASE!! ALSO IF U CAN PLEASE ANSWER MY RECENT QUESTIONS OF TODAY IF UR GENEROUS THANKS BAES
Answer:b
Step-by-step explanation:
just took the quiz
Which expression is equivalent to -8.2 - 5?
Choose 1 answer:
A
B
5- (-8.2)
-8.2 + 5
8.25
-8.2+(-5)
The expression equivalent to - 8.2 - 5 is - 8.2 + (-5)
What is an expression?
A mathematical expression is a phrase that includes at least two numbers or variables, and at least one arithmetic operation. The mathematical operations used can be addition, subtraction, multiplication or division.
Note ,
- × - = +
- × + = -
+ × + = +
For the expression - 8.2 - 5
In the above expression, we are subtracting positive integer 5 from -8.2
So we get the answer as
-8.2-5 = = -13.2
Now this is the solution we should get while solving the given options.
a) 5 - ( -8.2) = 5 + 8.2 = 13.2
b) -8.2 + 5 = - 3.2
c) -8.2 -5 \(\neq\) 8.25 (as seen above)
d) - 8.2 + ( -5) = -8.2 - 5 = -13.2
Comparing the solutions, we get that option(d) matches with the required answer.
Therefore option(d) is the correct expression that gives the same answer.
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HELP? is this easy or am i ?? HELP
Answer:
6960
Step-by-step explanation:
There are 4 friends going to a concert. They are paying a group rate of $176. How much does eaxh friend need to pay
Answer:
I believe 44
Step-by-step explanation:
Answer:
44 dollars.
Step-by-step explanation:
in total they'll pay 176. 4 of them in total will pay 176. Now all you need to do find the answer is divide 176 by 4, which equals 44.
A diamand is inscribed
inside a square.
Find
the area of the circle
in.
the bottom right triangle.
Useful Formula
& radius
of circle inscribed right triangle
P + B - H /2
where
(Height)
Da serpendicular
B° base
H= hypotenuse
The Area of circle is 31.4 unit²
First consider that the side of diamond is 10 unit.
Using Pythagoras
10² = x² + x²
100 = 2x²
x² = 50
x= 5√2
Now, the radius of circle inscribed in right angled triangle is
r = (P + B - H)/2
r = (5√2 + 5√2 - 10) /2
r = 10√2 - 10/2
r = (5√2 - 5) unit
So, Area of circle = πr² = 3.14 (5√2)²= 31.4 unit²
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80% of __ is 16 help
Answer:
80% of 20 is 16.
Step-by-step explanation:
Hello darling, the answer is 20 ^^
What is the perimeter of the figure shown.
25 mm
38 mm
41 mm
42 mm
Lucy took a taxi from her house to the airport. The taxi company charged a pick-up fee of $3.80 plus $3 per mile. The total fare was $39.80, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride.
Answer:
3$
Step-by-step explanation:
39.80/ 3 =13.2667
3$
Es para hoy ayúdenme por favor
Answer:
Con qué necesitas ayuda?
Step-by-step explanation:
need help with this one 105.6+37.1
Answer: 142.7
Step-by-step explanation:
10. What is the rule of about acute angles if we have 2 parallel lines cut by a transversal?
Answer:
When you have two parallel lines cut by a transversal, you get four acute angles and four obtuse angles . All the acute angles are congruent, all the obtuse angles are congruent, and each acute angle is supplementary to each obtuse angle.
Step-by-step explanation:
suppose the minimum volume of a clown is 60,000 cm3 and the volume of my car is 3 million cm3. 55 is______ the maximum number of clowns that can fit in my car.
a. An upper bound on
b. Not a bound
c. A lower bound on
d. exactly
When the minimum volume of a clown is 60,000 cm³ and the volume of a car is 3 million cm³, 55 is an upper bound on the maximum number of clowns that can fit in a car. The correct answer is Option A.
What are bounds?Bounds are the maximum and minimum limits that are permitted, within which something can or must be performed. Bounds are used to refer to an acceptable range of values that provide safe operation or performance. In mathematics, a set of bounds can define the limits of the amount of things or objects.
The minimum volume of a clown is 60,000 cm³, so to fit 55 clowns in a car we need:
55 clowns × 60,000 cm³/clown = 3,300,000 cm³
This is lower than the volume of the car. Therefore, 55 is an upper bound on the maximum number of clowns that can fit in the car.
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The equation for the regression line that predicts home equity using FICO credit score as the explanatory variable is
Ý – 1798X + 0 =
What is the interpretation of the slope?
________
What is the interpretation of the intercept?
________
The interpretation of the slope is that the FICO credit score increases.
The interpretation of the intercept is that it is the home equity when FICO credit score.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.Based on the information provided above, a linear equation that models the home equity using FICO credit score is given by;
y = mx + b
y = 1798x + 0
In conclusion, we can logically deduce that the slope is 1798 and it represents the explanatory variable and an increase in FICO credit score because it is positive.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Whether the function is even or odd
The given graph is not symmetric with respect to the y-axis. Hence, this is not even function.
What is Function?
A relation between a collection of inputs and outputs is known as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function.
An example of a rule is a function, which produces one output for a single input.
If the graph of a function is symmetric with respect to the y-axis, then it is said to be an even function. Otherwise, it is odd function.
The given graph is not symmetric with respect to the y-axis. Hence, this is not even function.
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Select the expressions that are equivalent to 7(-7u - 4) - 5.
(-7u - 4)7 - 5
7(-8u+ u 4) - 5
-33u - 49
-7u - 33
Answer: only the first one
Step-by-step explanation:
For the function f(x)=3x-9, construct and simplify the difference quotient (f(x+h)-f(x))/(h). The difference quotient for f(x)=3x-9 is
The difference quotient for the function f(x) = 3x - 9 is simply 3.
To find the difference quotient for the function f(x) = 3x - 9, we need to substitute f(x+h) and f(x) into the formula and simplify:
(f(x+h) - f(x)) / h
Substitute f(x+h):
= [(3(x+h) - 9) - (3x - 9)] / h
Simplify inside the brackets:
= (3x + 3h - 9 - 3x + 9) / h
Combine like terms:
= (3h) / h
Cancel out the common factor of h:
= 3
Therefore, the difference quotient for the function f(x) = 3x - 9 is simply 3.
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Avery has three times as much money as Jackie. Jackie has $6 less than Samantha. Together they have $56. How much money does each have?
HEEEEELP
The money belongs to Jackie, Avery, and Samantha is $10, $30, and $16 respectively.
Given that,
Avery has three times as Jackie.
Also, Jackie has $6 lower than Samantha.
Together they have $56.
Based on the above information
Let us assume the Jackie be x
So, Avery should be 3x
Samantha should be x + 6
So, the equation should be
x + 3x + x + 6 = $56
5x = $56 - $6
5x = $50
x = $10
So, Jackie has $10
Avery has $30
And, Samantha has $16
Therefore we can conclude that the money belongs to Jackie, Avery, and Samantha is $10, $30, and $16 respectively.
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10 points!!!!!!!!!!!!!!!!!!!!!
Answer:
23
Step-by-step explanation: