Answer:
The answer is 234
Step-by-step explanation:
Add up the perimeters and simplify it.
Find the area of the figure below
77.25 cm^2 154.5 cm^2 87.55 cm^2 175.1 cm^2
The area of the given triangle is 87.55 square centimeter.
From the given triangle, base=17 cm and height=10.3 cm.
The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.
Here, area of a triangle = 1/2 ×17×10.3
= 87.55 square centimeter
Therefore, area of the given triangle is 87.55 square centimeter.
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The table shows values for functions f(x) and g(x). x f(x)=2x−3 g(x)=73x−2 −1 −52 −133 0 −2 −2 1 −1 13 2 1 83 3 5 5 4 13 223 5 29 293 What are the solutions to the equation f(x)=g(x)? Select each correct answer.
0 and 2
f(x) = g(x) will be the input or x value at which f and g have the same output or y value. Look in the table where two numbers repeat right next to each other.
−1 −7/2 −9/2
0 −3 −3
1 −2 −3/2
2 0 0
3 4 3/2
4 12 3
5 28 9/2
There are two solutions to f(x) = g(x) which are x=0 and x=2.
There are two solutions to f(x) = g(x) which are x=0 and x=2.
f(x) = g(x) will be the input or x value at which f and g have the same output or y value.
What is the function?
A function relates an input to an output. It is like a machine that has an input and an output. And the output is related somehow to the input.
Look in the table where two numbers repeat right next to each other.
−1 −7/2 −9/2
0 −3 −3
1 −2 −3/2
2 0 0
3 4 3/2
4 12 3
5 28 9/2
There are two solutions to f(x) = g(x) which are x=0 and x=2.
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A card is drawn from a standard 52-card deck. If the card is a king, you win $20; otherwise, you lose $1. What is the expected value of the game?
Let X be the random variable for the amount won on a single play of this game.
If X is a radom variable for amount you win, Then the excepted value of game or expected income i.e E(X) is 8/13.
What is Expected Income ?Expected Income is the result of multiplying your income by the probability of earning it. This expected revenue can be subtracted by the expected cost to get the expected profit.
Mathematically, E(X) = X₁p₁ + X₂p₂ + ---+ Xₙpₙ
where Xᵢ are observation and pᵢ probability of Xᵢ.
We have given that,
Total number of cards in standard card deck = 52
i.e total possible outcomes = 52
One card is drawn from deck.
Total number of king cards in 52-card deck = 4
Favourable outcomes that drawn card is king = 4
Probability of getting a king card , p = 4/52 = 1/13
Probability of not getting a king ,q = 1 - p
= 1 - 1/13 = 12/13
let X be the amount you win . You win $20 if a king is drawn and lose $1 if king is not drawn . So, probability distribution is
Xᵢ pᵢ
$20 1/13
-$1 12/13
So, E(X) = ∑ Xᵢpᵢ = 20× 1/13 + (-1)× 12/13 = 20/13 - 1/13 = 8/13
Hence, required excepted value is 8/13.
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Help me asap! I will give you marks
Recall the binomial theorem.
\((a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k\)
1. The binomial expansion of \(\left(1+\frac x3\right)^7\) is
\(\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}\)
Observe that
\(k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x\)
\(k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2\)
When we multiply these by \(8-9x\),
• \(8\) and \(\frac73 x^2\) combine to make \(\frac{56}3 x^2\)
• \(-9x\) and \(\frac73 x\) combine to make \(-\frac{63}3 x^2 = -21x^2\)
and the sum of these terms is
\(\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}\)
2. The binomial expansion is
\(\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k\)
We get the \(a^6b^2\) term when \(k=2\) :
\(k=2 \implies \dbinom 82 2^{8-2\cdot2} a^{8-2} b^2 = 28 \cdot2^4 a^6 b^2 = \boxed{448} \, a^6b^2\)
These are large nets used for fishing kept upright by weights at the bottom and floats and the top and allowed to move with the tide.
The large nets you're referring to are called "drift nets." Drift nets are kept upright by weights at the bottom and floats at the top, allowing them to move with the tide and efficiently catch fish in the process.
They are designed to float at the surface of the water and drift along with the tide, capturing fish as they pass through the netting. Drift nets are kept upright by weights at the bottom and floats at the top, which allows them to move with the current and cover a large area of water. These types of nets are often used in commercial fishing operations, but they have also been criticized for being environmentally destructive, as they can catch unintended species and result in large amounts of bycatch. Overall, drift nets are a complicated fishing technique with a long history, and their use is still debated by fishermen, environmentalists, and policymakers.
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Which point on the number line represents the product (-4X=28-02 O W Point A W Point B 0 Point C Point D
Answer:
tfcfgcvghvgh h hg hjjhnkjknjkhnukj
Step-by-step explanation:
x • 1 + x/1=? ,,,,,,,,,,,,,,,,,,,,,
\( \huge \boxed{\mathfrak{Question} \downarrow}\)
\( \large \sf \: x \cdot 1 + \frac { x } { 1 } = ? \\ \)
\( \huge \boxed{\mathfrak{Answer} \downarrow}\)
\( \large \sf \: x \cdot 1 + \frac { x } { 1 } \\ \)
Anything divided by one results in itself.
\( \large \sf \: x\times 1+x \)
Combine x × 1 and x to get 2x.
\( = \large \boxed{ \bf \: 2x}\)
The correct answer is 2x.who solves your disputes in the games
Answer:
of course ,the refree or the umpire
The rule as a mapping for the translation of a rectangle is (x, y) - (x - 2, y + 7). Which describes this translation?
O a translation of 2 units down and 7 units to the right
a translation of 2 units down and 7 units to the left
O a translation of 2 units to the right and 7 units up
O a translation of 2 units to the left and 7 units up
Answer: D . a translation of 2 units to the left and 7 units up
Answer: A translation of 2 units to the left and 7 units up
Step-by-step explanation: Just took the quiz:)
What are the solutions of the equation (5x − 2)(x + 6) = 0?
A. 0.4, −6
B. no real solution
C. −0.4, 6
D. 2.5, −6
Answer:
A. 0.4 , -6
Step-by-step explanation:
equate each of them to 0
5x - 2 =0 , x + 6 = 0
5x = 2 , x = 0 - 6
x = 2/5 , x = -6
x = 0.4 , x = -6
What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
V + 4 = 10
V-4 = 10
10 - 4 = V
Answer:
V + 4 = 10
Step-by-step explanation:
V represents the video games she has (unknown to us), and the word problem says she adds 4 more.
Hope this helped!
how does 12/25 turn into a percent
12/25 as a percentage is 48%.
Answer:
48 percent
have a great day ahead
solve the given initial-value problem. dy/dt 2(t+1)y2 = 0, y(0) = − 1/15 y(t) = 1/t^2 + 2t + 15Give the largest interval i on which the solution is defined. (enter your answer using interval notation.)
The largest interval on which the solution is defined is (-∞, -1) ∪ (-1, ∞). The interval notation for the largest interval is (-∞, -1) U (-1, ∞).
What is the initial-value problem?An initial-value problem is a type of boundary-value problem in mathematics, particularly in the field of differential equations.
The given initial-value problem is a separable differential equation, which can be written as:
dy/dt = -2(t + 1)y²
Integrating both sides, we get:
(1/y) = t² + 2t + C
where C is the constant of integration.
Since we have an initial condition, we can use it to find the value of C:
y(0) = -1/15
C = -1/15
Solving for C, we get:
C = -1/15
So, the solution to the differential equation is:
(1/y) = t² + 2t -1/15
y = 1 / (t² + 2t -1/15)
The solution is defined for all t ≠ -1, since y = 0 is not defined. So, the largest interval on which the solution is defined is (-∞, -1) ∪ (-1, ∞). The interval notation for the largest interval is (-∞, -1) U (-1, ∞).
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Don Swiffer earns $9.75 per hour as a clerk. He starts work Mondaythrough Friday morning at 8:00 AM. He takes a half hour lunch break everyday. If he finishes work at 3:00 PM Monday through Thursday and leaveswork at 4:00 PM on Friday. What was his total pay for the week?
Answer: $326.625
Explanation:
The infromation that we have is:
Payment per hour: p = $9.75 (I will identify the payment per hour as "p").
He worls from 8:00 am until 3 pm from monday through thursday, this means that he works 7 hours on those days. But since he takes a half hour lunch break, we take half an hour from the 7 hours:
\(7-0.5=6.5\)Each from monday trough thursday that he works, he does it for 6.5 hours.
Thus, the total amount of hours for this four days of the week is:
\(4\times6.5=26\)On Friday he works from 8:00 am to 4:00pm, that is 8 hours, as in the previus days, we substract half hour for his break:
\(8-0.5=7.5\)So the total amount of hours that he works in the week is the sum of the 26 hours that he works from monday through thursday, plus the 7.5 hours that he works on friday:
\(h=26+7.5=33.5\)h represents the amount of hours that he works in a week.
His total pay for the week "T" is:
\(T=h\times p\)The product between the number of hours and the payment per hour:
\(T=33.5\times9.75=326.625\)Answer: $326.625
Which answer choice is NOT equivalent to 4(x + 3)
a. 4x + 12
b. x + 3x + (4 + 3)
c. x + x + x + x +12
d. 2x + 2x + (4 x 3)
Answer: b
Step-by-step explanation:
Combine the terms after removing the parentheses.
Reference equation: 4x + 12
a. 4x + 12
b. 4X +7
c. 4x + 12
d. 4x + 12
Amanda exercised for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week.
Billy exercised for 5 minutes every day in the first week, 10 minutes in the second week, 20 minutes in the third week, and 40 minutes in the fourth week.
Which statement best describes the methods used by Amanda and Billy to increase the time they spent exercising? (1 point)
Group of answer choices
Amanda's method is linear because the number of minutes increased by an equal number every week.
Billy's method is linear because the number of minutes increased by an equal factor every week.
Both Billy's and Amanda's methods are exponential because the number of minutes increased by an equal factor every week.
Both Billy's and Amanda's methods are exponential because the number of minutes increased by an equal number every week.
Amanda's method is linear because the number of minutes increased by an equal number every week.
The function (x) = x is shown on the graph,
Which statement is correct?
The domain of the function is all real numbers
greater than or equal to 0.
The range of the function is all real numbers greater
than or equal to -1
The range of the function is all real numbers less
than or equal to 0.
The domain of the function is all real numbers less
than or equal to 0.
Answer:
the domain of the function is all real numbers less than or equal to 0
Craig is learning to identify local birds with a Field Guide to Forest Birds deck of cards. He randomly selects one card from the deck, puts it back in the deck, and selects another card. He repeats this several times and gets 4 hummingbirds, 3 falcons, 1 woodpecker, 4 owls, 3 loons, and 2 eagles.
Based on the data, what is the probability that the next card Craig selects will be a falcon card?
The probability that the next card Craig selects will be a falcon card is 3/17.
Given that, Craig gets 4 hummingbirds, 3 falcons, 1 woodpecker, 4 owls, 3 loons, and 2 eagles.
Here, the total number of outcomes = 4+3+1+4+3+3=17
Number of favorable outcomes = 3
Now, probability of an event = 3/17
Therefore, the probability that the next card Craig selects will be a falcon card is 3/17.
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I need help on this lol
Answer:
-62
Step-by-step explanation:
180-w+49(angles on a straight line=180)
angles on a triangle=180
Hence,
180-w+49+w+17+w-4=180
collect the like terms
180+49+17-4+w+w-w=180
242+w=180
Take 180 to the other side and also w
242-180=-w
62=-w same as w=-62
Can someone assist me with this, I'm having problems with this
Triangle DEF has vertices at D(−3, 5), E(−10, 4), and F(−11, 8). Triangle D′E′F′ is the image of triangle DEF after a reflection. Determine the line of reflection if E′ is located at (10, 4).
y = −4
x = 10
y-axis
x-axis
The line of reflection is the y-axis
What is Reflection:Reflection is a geometric transformation that involves flipping an object over a line or a plane, creating a mirror image of the original object.
When a figure or polygon is reflected over the y-axis, it means that each point in the original figure is moved to a new point with the same y-coordinate but a negated x-coordinate.
Here we have
Triangle DEF has vertices at D(−3, 5), E(−10, 4), and F(−11, 8).
Triangle D′E′F′ is the image of triangle DEF after a reflection.
After reflection, the vertice E′ is located at (10, 4).
Here the x-coordinate of E, − 10 is changed to 10
As we know when the figure is reflected over the y-axis the sign of the x coordinate will be changes
Hence,
The line of reflection is the y-axis
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Tinh has a triangle with side lengths 12 mm, 15 mm, and 18 mm. He wants to reduce the triangle by one-third, so he divides each side length and each angle measure by 3. Which describes Tinh’s reduction? Tinh’s reduction is incorrect; he should have only divided the side lengths by 3. Tinh’s reduction is incorrect; he should have only divided the angle measures by 3. Tinh’s reduction is incorrect; he should have multiplied the side lengths by 3 instead. Tinh’s reduction is incorrect; he should have multiplied the angle measures by 3 instead.
Tinh's reduction is incorrect. He should only divided the side lengths by 3.
Dividing the angle measures by 3 would make it into a completely different triangle.
Dividing only the side lengths will make the triangles slightly alike.
The answer is A.
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form a quadratic polynomial whose zeroes are 3+√5/2 nd 3-√5/2?
The quadratic polynomial is x² - 6x + 31/4
What is a quadratic polynomial?A quadratic polynomial is a polynomial in which the highest power of the unknown is 2.
To form a quadratic polynomial whose zeroes are 3 + √5/2 and 3 - √5/2, we proceed as follows.
Since the zeroes are
x = 3 + √5/2 and x = 3 - √5/2,Then its factors are
x - (3 + √5/2) = (x - 3) - √5/2 and x - (3 - √5/2) = (x - 3) + √5/2So, to get the quadratic polynomial p(x), we multiply the factors together.
So, we have that
p(x) = [(x - 3) - √5/2][(x - 3) + √5/2]
= (x - 3)² - (√5/2)²
= x² - 6x + 9 - 5/4
= x² - 6x + (36 - 5)/4
= x² - 6x + 31/4
So, the polynomial is x² - 6x + 31/4
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PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Z=3×15+4=49°
Y=5×25+6= 131°
X=2×15+19= 49°
W=131°
Correct answer 4
10. Two plots of land, one square and other rectangle have same perimeter. If the rectangular field is of size 90 m by 70 m, which plot has greater area and by how much?
Answer:
Here is your answer.
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PLEASE PLEASE PLEASE HELP ME RN ^^ ITS EASY I JUST WANNA FINISH IT QUICK BC I HAVE TO SLEEP SO YEAH :v
Simple math problem giving brainly!
Answer:
can you type the question I cant see the picture
Step-by-step explanation:
Hello could you please help me with this question? Write an equation in standard form of the line that passes through (7,-3) and has a y-intercept of 2
Given
Point (x,y) = (7,-3)
y-intercept b = 2
Substitute the following values to the slope-intercept form
\(\begin{gathered} y=mx+b \\ \text{where} \\ m\text{ is the slope} \\ b\text{ is the y-intercept} \end{gathered}\)\(\begin{gathered} (x,y)=(7,-3) \\ b=2 \\ \\ y=mx+b \\ -3=m(7)+2 \\ -3-2=7m \\ 7m=-5 \\ m=-\frac{5}{7} \end{gathered}\)Now that we have solved for the slope, the equation of the line in slope intercept form is
\(\begin{gathered} y=-\frac{5}{7}x+2 \\ \\ \text{Multiply all the terms with 7 to get rid of the fractions} \\ 7\mleft[y=-\frac{5}{7}x+2\mright]7 \\ 7y=-5x+14 \end{gathered}\)Rearrange the equation so that it is in the standard form Ax + By = C
\(\begin{gathered} 7y=-5x+14 \\ 5x+7y=-5x+5x+14 \\ 5x+7y=\cancel{-5x+5x}+14 \\ \\ \text{The standard form of the line that passes through }(7,-3)\text{ and has a y-intercept of 2} \\ 5x+7y=14 \end{gathered}\)A highlight table is used to _____.
Select an answer:
visualize the relative proportion of values in a table
emphasize the sort order of table values
hide values in a table that are equal to zero
colorize text based on a predefined color key
A highlight table is used to visualize the relative proportion of values in a table.
It is a way to present data in a graphical format that makes it easier to understand and compare the relative size of different categories.
It can be used to create a heatmap-like visualization that uses different colors or shades to indicate the relative frequency of values in a table. Highlight tables are useful for quickly identifying patterns and trends in large datasets, and for comparing the relative size of different categories of data.
They can also be used to compare data over time, or to compare data from different sources. Highlight tables can be created using various data visualization tools, such as spreadsheet software, data visualization libraries, or specialized data visualization software.
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an economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in california. suppose that the mean income is found to be $16.6 for a random sample of 7472 people. assume the population standard deviation is known to be $11. construct the 98% confidence interval for the mean per capita income in thousands of dollars. round your answers to one decimal place.
The population standard deviation is known to be $11. construct the 98% confidence interval, then the 98% confidence interval for mean (a , b) = ( $16.8 , $16.3 )
A confidence interval is a range of values that describes the uncertainty surrounding an estimate.
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
CI = \(x\) ± z \(\frac{r}{\sqrt{n} }\) (Equation-1)
Where,
CI = Confidence interval
x = sample mean
z = Confidence level value
r = sample standard deviation
n = sample size
Given that,
Mean x = $16.6
Standard deviation r = $11
Number of samples n = 7472
Confidence interval = 98%
z(at 98% confidence) = 2.33
Substituting the values we have equation-1,
= $16.6 ± 2.33 ( \(\frac{11}{\sqrt{7472} }\) )
= $16.6 ± 2.33 ( $\(\frac{11}{86.44}\) )
= $16.6 ± 2.33 ( $ 0.127 )
= $16.6 ± $0.295
= $16.6 + $0.295 , $16.6 - $0.295
= ( $16.8 , $16.3 )
Therefore,
The population standard deviation is known to be $11. construct the 98% confidence interval, then the 98% confidence interval for mean (a , b) = ( $16.8 , $16.3 )
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