Answer:
The perimeter of the triangle can be expressed as;
\(3w+19\)Explanation:
Given the triangle with the sides shown on the question;
The perimeter is the sum of the three sides;
\(\begin{gathered} P=(w+10)+(w+3)+(w+6) \\ P=w+10+w+3+w+6 \\ P=w+w+w+10+3+6 \\ P=3w+19 \end{gathered}\)Therefore, the perimeter of the triangle can be expressed as;
\(3w+19\)Geometric sequences HELP ASAP!
Given:
The table for a geometric sequence.
To find:
The formula for the given sequence and the 10th term of the sequence.
Solution:
In the given geometric sequence, the first term is 1120 and the common ratio is:
\(r=\dfrac{a_2}{a_1}\)
\(r=\dfrac{560}{1120}\)
\(r=0.5\)
The nth term of a geometric sequence is:
\(a_n=ar^{n-1}\)
Where a is the first term and r is the common ratio.
Putting \(a=1120, r=0.5\), we get
\(a_n=1120(0.5)^{n-1}\)
Therefore, the required formula for the given sequence is \(a_n=1120(0.5)^{n-1}\).
We need to find the 10th term of the given sequence. So, substituting \(n=10\) in the above formula.
\(a_{10}=1120(0.5)^{10-1}\)
\(a_{10}=1120(0.5)^{9}\)
\(a_{10}=1120(0.001953125)\)
\(a_{10}=2.1875\)
Therefore, the 10th term of the given sequence is 2.1875.
what is 125%of$500.00
Answer:
125 percent
Step-by-step explanation:
25 percent *500.00 =
(25:100)*500.00 =
(25*500.00):100 =
12500:100 = 125
Now we have: 25 percent of 500.00 = 125
Question: What is 25 percent of 500.00?
Percentage solution with steps:
Step 1: Our output value is 500.00.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$500.00=100\%$.
Step 4: Similarly, $x=25\%$.
Step 5: This results in a pair of simple equations:
$500.00=100\%(1)$.
$x=25\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{500.00}{x}=\frac{100\%}{25\%}$
Step 7: Again, the reciprocal of both sides gives
{x}/{500.00}={25}/{100}$
$Rightarrow x=125$
Therefore, $25\%$ of $500.00$ is $125$
Find the value of x in the triangle shown below.
a. x=21
b. x=42
c. x= 15
d. x=21
Answer:
Answer:
\( \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ \)
by using Pythagoras law:
h²=p²+b²
x²=9²+12²
x=√225=15unit
Five times the sum of a number and 13 is 20. Find the number
Answer:
x = -9
Step-by-step explanation:
Step 1: Write out expression
5(x + 13) = 20
Step 2: Distribute
5x + 65 = 20
Step 3: Isolate x
5x = -45
x = -9
And we have our answer!
Answer:
-9
Step-by-step explanation:
Let the number be x.
5(x+13) = 20
Expand.
5x+65 = 20
Subtract 26 on both sides.
5x = 20 - 65
5x = -45
Divide 5 into both sides.
x = -45/5
x = -9
The number is -9.
1. 25/120 as a decimal
2. 1 7/8 as a decimal
3. 1/6 as a decimal
4. 11/40 as a decimal
5. 5 13/50
Answer:
1. 0.2083
2. 1.875
3. 0.16666667
4. 0.275
5. 5.26
Brainliest Please! :)
Select from the following pairs of events all the pairs that are independent.
A. Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.
B. Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.
C. Roll a number cube. Then roll again if the first roll is a 6.
D. Roll a 2 on a number cube and spin a 3 on a spinner.
E. Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.
F. Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.
Answer:
A.) Independent
B.) Independent
C.) Dependent
D.) Independent
E.) Dependent
F.) Independent
Step-by-step explanation:
To find - Select from the following pairs of events all the pairs that are independent.
A. Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.
B. Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.
C. Roll a number cube. Then roll again if the first roll is a 6.
D. Roll a 2 on a number cube and spin a 3 on a spinner.
E. Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.
F. Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.
Proof -
We know that,
Independent events are the events that does not depend on the previous events.
Also,
If A and B are two independent events, then
P(A and B) = P(A) * P(B)
Now,
A.)
Draw a 2 of clubs from a standard deck of 52 cards, keep it, then draw a 2 of diamonds.
Here,
Event 1 - Draw a 2 of clubs from a standard deck of 52 cards
Event 2 - keep it, then draw a 2 of diamonds.
These Events are independent
Because
Event 1 is about picking a card that is club
Event 2 is about picking a card that is diamond
And Diamond and spades are 2 different types of card in a pack of standard deck.
So, they are not related to each other.
So,
Both the Events are Independent.
B.)
Draw a 3 of spades from a standard deck of 52 cards, replace it, then draw a 5 of hearts.
Event 1 is about picking a card that is spade
Event 2 is about replacing the card to heart.
These Events are independent
Because
And spade and heart are 2 different types of card in a pack of standard deck.
So, they are not related to each other.
So,
Both the Events are Independent.
C.)
Roll a number cube. Then roll again if the first roll is a 6.
Event 1 is Roll a number cube.
Event 2 is Roll again if the first roll is 6.
These Events are Dependent
Because
Event 2 is dependent on Event 1.
If Event 1 given no 6 then Event 2 would not happen
If Event 1 given 6 then Event 2 would happen.
So, They are related to each other
So,
Both the Events are Dependent.
D.)
Roll a 2 on a number cube and spin a 3 on a spinner.
Event 1 is Roll a 2 on a number cube
Event 2 is spin a 3 on a spinner
These Events are independent
Because
Cube and spinner are two different objects.
So, they are not related to each other.
So,
Both the Events are Independent.
E.)
Events A and B, where P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.8.
These Events are Dependent
Because
P(A and B) = P(A)*P(B)
⇒0.8 = 0.4*0.2
⇒0.8 = 0.08
But they are not equal
So, they are not independent Events.
F.)
Events A and B, where P(A) = 0.1, P(B) = 0.5, and P(A and B) = 0.05.
These Events are independent
Because
P(A and B) = P(A)*P(B)
⇒0.05 = 0.1*0.5
⇒0.05 = 0.05
They are not equal
So, they are independent Events.
f f(x) = x2 + 1 and g(x) = x – 4, which value is equivalent to (f circle g) (10)?
37
97
126
606
Functions f(x) = x² + 1 and g(x) = x – 4, the value equivalent to f(g(10)) is, 37
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Vertical line test:-
Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.
If we get more images then it will not be a function.
For example, let us take, y² = 4ax
y = ±√4ax
For single value of x we get two values of y
Hence, it will not be a function.
Given that,
f(x) = x² + 1
g(x) = x – 4
f(g(10)) = ?
f(g(x)) = (x - 4)² + 1
= x² - 8x + 16 +1
= x² - 8x + 17
f(g(10)) = 10² - 8×10 + 17
= 100 - 80 + 17
= 37
The value of f(g(10)) is 37
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What is the equation of the linear relationship that has a slope of 200 and a y-intercept of 100?
A. y = 100x + 200
B. y = 200x + 100
C. y = −200x + 100
D. y = −100x + 200
The solution is B. \(y = 200x + 100\) is a linear equation with a slope-intercept form.
How do linear and nonlinear differ?When a function is displayed in a graph, a linear function makes a straight line, but a nonlinear function, which is bent in some way, does not. Whereas the slopes of a non - linear function is changing constantly, the slopes of a linear model remains constant.
Why is a function linear?The graph of a linear function is a direct line. One regression coefficient and one predictor variables make up a linear function. The variables that are both independent and dependent are X and Y, respectively. The y interception, often known as the constant term a.
The slope-intercept form of a linear equation is \(y = mx + b\), where m is the slope and b is the y-intercept. Using the given values, we have:
slope \(= 200\)
\(y-\)intercept \(= 100\)
So, the equation of the linear relationship is:
\(y = 200x + 100\)
Therefore, the answer is B. \(y = 200x + 100\).
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Find the value of x.
Answer:
x=4
Step-by-step explanation:
Answer:
√21 or 4.58
Step-by-step explanation:
area of triangle can be found in different ways, and they are equal as:
1/2*x*(7+3)= 1/2*√(x²+3³)*√(x²+7²)
(10x)²= (x²+3³)*(x²+7²)
x²= y
100y= (y+9)(y+49)y²+58y+9*49-100y=0y²-42y +441=0y=21x²=21
x=√21 = 4.58
Fill the blank with a number to make the expression a perfect square v^2-10v+
9514 1404 393
Answer:
25
Step-by-step explanation:
To make this expression into a perfect square trinomial, we must add the square of half the coefficient of the linear term.
v^2 -10v +(-10/2)^2 = v^2 -10v +25
The missing constant is 25.
Find the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0. Also, show in the graph.
The inversion point of (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0 is (6, 7).
Finding the inversion pointTo find the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0, we need to follow these steps:
Step 1: Write the equation of the given circle in standard form by completing the square for x and y: (x - 2)² + (y - 3)² = 16.
Step 2: Find the radius of the circle by taking the square root of the constant term: r = √16 = 4.
Step 3: Find the distance between the given point (4, 5) and the center of the circle (2, 3) using the distance formula: d = √[(4 - 2)² + (5 - 3)²] = √8.
Step 4: Use the formula for inversion point to find the coordinates of the inversion point (x', y'): (x', y') = (h + r²/d² * (x - h), k + r²/d² * (y - k)), where (h, k) is the center of the circle and r is the radius.
Plugging in the values, we get: (x', y') = (2 + 4²/8 * (4 - 2), 3 + 4²/8 * (5 - 3)) = (6, 7).
Therefore, the inversion point of the given point (4, 5) with respect to the circle x² + y² - 4x - 6y - 3 = 0 is (6, 7).
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im not quite sure what this is6(x+4)+1
The answer would be 6x+25.
For this, we have to use the Distributive Property, which allows us to multiply the numbers inside of the parenthesis.
-----------------------------------------------------------------------------
So you would do 6•x which equals 6x. And then do 6•4 which equals 24. Your equation currently should be 6x+24+1. Lastly, add 24 and 1 to get your final answer of 6x+25.
I hope this helped :)
Answer:
6x + 25
Step-by-step explanation:
im not quite sure what this is6(x+4)+1
6(x + 4) + 1 (6*x = 6x and 6 * 4 = 24)
6x + 24 + 1
6x + 25
i need help!!!! does anyone know this..!!???
The period of oscillation is 3 seconds
What is period of oscillation?A Oscillation is the periodic change of a measure around a central value or between two or more states, usually in time.
The time taken for an oscillating particle to complete one cycle of oscillation is known as the Period of oscillating particle. It is measured in seconds
Oscillation can also be vibration or revolution or cycle.
Therefore, using the graph to determine the period. Then the wave particle made a complete oscillation at 3 second.
This means that the period of the particle is 3 seconds.
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What is the product? (–3s + 2t)(4s – t)
Answer:
\( - 12 {s}^{2} + 11st - 2 {t}^{2}\)Step-by-step explanation:
(–3s + 2t)(4s – t)
= -3s (4s - t) + 2t(4s - t)
\( = - 12 {s}^{2} + 3st + 8st - 2 {t}^{2} \)
\( = - 12 {s}^{2} + 11st - 2 {t}^{2} (ans)\)
Answer: -12s^2 + 11st -2t^2
Step-by-step explanation:
= (-3s + 2t)(4s - t)
= -12s^2 + 3st + 8st -2t^2
= -12s^2 + 11st -2t^2
Answer Provided by GauthMath please heart and comment thanks if you like.
Adrian wants to purchase an electric keyboard. The price of the keyboard at Macelli’s, with tax, is $2,400. He can save $150 per month. How long will it take him to save for the keyboard? (round to a full month).
It will take Adrian 16 full months to save enough money for the electric keyboard.
- Price of the keyboard (with tax) at Macelli's: $2,400
- Adrian's monthly savings: $150
We need to find how long it will take Adrian to save for the keyboard. To do this, we'll divide the total cost of the keyboard by his monthly savings and round up to the nearest full month.
Step 1: Divide the total cost by monthly savings.
Time (in months) = (Total Cost) / (Monthly Savings) = ($2,400) / ($150)
Step 2: Calculate the result.
Time (in months) = 16
So, it will take Adrian 16 full months to save enough money for the electric keyboard.
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twenty six thousandths in numerical form
Answer:
0.026
Step-by-step explanation:
Twenty-Six = 26 ( But for simplicity in the Next Step write it as 26.)
Tenths means to move the Decimal Point 1 Place LeftHundredths means to move the Decimal Point 2 Place LeftThousandths means to move the Decimal Point 3 Place LeftThen Twenty-Six Thousandths = 0.026
6. Julian is saving money to buy a television that costs $255. He can save $12 per week to addto the $27 he already has saved. In how many weeks will he have enough money for the tv?
Julian wants to a buy a TV for which he is to save money weekl
You save $15 each month to buy a tablet that
Cost $84.99. Describe the number of months
gou need to save to buy the tablet.
Answer:
5 2/3 months
Step-by-step explanation:
Divide 84.99 by 15.
84.99/15 = 5 2/3
Please answer will mark BRAINELIST!
Answer:
C
A
C
Step-by-step explanation:
Solve the following problems using permutations or combinations. For each problem clearly identify which type it is and what your final answer is. You may use the calculator commands or the formula. a) A group of 30 people are to elect specific officers. They need to select a president, vice-president, secretary, treasurer, and historian. b) How many different ways can a telemarketer select 5 phone numbers from a list of 50?
Given data:
The total numbers of people are n=30.
(a)
The expression for the number of ways to select president, vice-president, secretary, treasurer, and historian is,
\(\begin{gathered} x=^{30}P_5 \\ =\frac{30!}{(30-5)!} \\ =\frac{30!}{25!} \\ =17,100,720 \end{gathered}\)Thus, there are 17,100,720 ways to select president, vice-president, secretary, treasurer, and historian.
What is a three digit number that is divisible by 2,3,5,6,10 
I’ve been here for 1 hour it’s embarrassing please help
please answer this I will definitely give u a brainlies badge
sinθ = t/o
cosθ = m/o
tanθ = t/m
cscθ = o/t
secθ = o/m
cotθ = m/t
Fred buys flags from a manufacturer for f dollars
each and then sells the flags in his store for a 26% markup.
Write the markup
as
decimal
Write an expression for the retail price of a flag
Answer:0.26
How did i get that answer you ask?
i divide
how can you
change the equation y = mx + b to
shift the graph down?
Step-by-step explanation: To shift the graphs up and down on the coordinate system, you need to manipulate or change the y-intercepts.
The y-intercept is just the constant term in the equation.
As long as the slopes remain the same, the graphs can be
translated up or down by changing the constant value.
Take a look at these lines graphed below.
Notice that y = x + 11 is the same as y = x + 4 but
y = x + 11 is translated 7 units down to get y = x + 4.
Determine the equation (picture).
The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.
How to find equation of a line?The equation of a line can be describe as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, lines that a perpendicular follows the rule below:
m₁m₂ = -1
Hence,
y + 6 = 3 / 4 (x - 2)
y + 6 = 3 / 4 x - 6 / 4
y = 3 / 4 x - 6 / 4 - 6
y = 3 / 4 x - 30 / 4
y = 3 / 4 x - 15 / 2
Hence,
3 / 4 m₂ = -1
m₂ = - 4 / 3
Therefore,
slope of the line is - 4 / 3
Let's find the y-intercept of the second line
4x + 5y -20 = 0
5y = -4x + 20
y = -4 / 5 x + 4
y-intercept = 4
Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.
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A cat has 24 whiskers by its nose.
A manatee has 25 times as many whiskers.
How many whiskers does a manatee have?
Answer:
600 whiskers
Step-by-step explanation:
If you multiply 24 by 25 you get 600
Write rules for the composition of translations.
Answer: gurl you think i know
Step-by-step explanation:
Simplify all ratios and keep them as improper fractions
If arc cos = -8/17 and arc sin is negative, then arcsin is _____ and arctan is ______
To find arcsin, we need to use the identity:
sin(arcsin(x)) = x
Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:
sin(arcsin) = -sqrt(1 - (cos)^2)
where (cos)^2 = 8/17
Substituting, we get:
sin(arcsin) = -sqrt(1 - (8/17))
Simplifying, we get:
sin(arcsin) = -sqrt(17/17 - 8/17)
Simplifying further, we get:
sin(arcsin) = -sqrt(9/17)
Therefore, arcsin = -sqrt(9/17)
To find arctan, we need to use the identity:
tan(arctan(x)) = x
Substituting, we get:
tan(arctan) = -8/17
Therefore, arctan = -8/17
So, arcsin is -sqrt(9/17) and arctan is -8/17.
Listed below is a table showing the number of employees. 20 years or older by gender in the United states
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
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The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
Justine owns 5% of a corporation's shares. If that corporation had 3
million shares in circulation but is going to sell 1 million new shares to
raise money to finance a new operation, what percent of the corporation
will Justine own? (1 point)
O 3.75%
O 4%
O 5%
O 7.5%
Answer: 3.75 is the verified answer