Answer: 100 square cm
Step-by-step explanation: the triangle is 33 cm and the big rectangle is 9x7 square cm. There is a small square that is 2x2 =4 cm so the total is 33 +63 + 4 which is 100 cm.
Answer: 104
Step-by-step explanation:
area of trangle =33 because 6*11/2=33
area of rectangle 9*7=63
area of rectangle 2*2=4
33+63+4=100^2
You conduct a quasi-experiment to assess the impact of raising the speed limit from 55 to 65 miles per hour. You find that there are more accidents in the 6-month period following the speed limit change than in the 6-month period before the speed limit change. Although it is tempting to say that raising the speed limit caused higher accident rates, you must be careful because
It's tempting to say that increasing the speed limit has led to higher accident rates, but you have to be careful because other variables (e.g. cheaper gas or time of year the change was introduced) can also affect accident rates. The option C is correct.
Given the impact of the speed limit increase from 55 to 65 mph, there are more crashes in the 6 months after the speed limit change than in the 6 months before the speed limit change. speed.
The dependent variable is the variable that is attempted and expected in a survey and is "dependent" on the free aspect. In a survey, the scientist tries to find the conceivable influence on the reliable variable, which can be approximated by changing the free thing. The free aspect is the variable that the experimenter adjusts or controls, and should directly affect the dependent variable. Therefore, increasing the speed limit from 55 to 65 mph resulted in higher accident rates, you have to be careful with other variables.
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A regular decagon with exterior angle 1 is shown.
In the regular decagon shown, what is the measure of angle 1?
°
Answer:
∠1 = 36°
Step-by-step explanation:
All angles of a regular polygon are congruent, as are the sides. A regular decagon will have 10 congruent angles.
Exterior anglesThe sum of the measures of the exterior angles of a convex polygon is always 360°. This decagon has 10 congruent exterior angles, so the measure of each is given by ...
10(∠1) = 360°
∠1 = 36° . . . . . . . . divide by 10
Answer: 36°
Step-by-step explanation: Trust Me!
Answer is correct on Edge. Good Luck! :)
In the regular decagon shown, what is the measure of angle 1?
36°360° is always the sum of all measures of all exterior angles of a convex polygon. A decagon have 10 sides.
Since ∠1 = 36°, then each other angle should measure the same, 36°.
In order to know whether the sum of all the angles equal 360°,
we need to multiply: 36° x 10.
36° x 10= 360°.
And sure enough the answer is correct.
Subtract.
(3x²+2x9) - (4x² - 6x + 3)
4
Answer:
-13x²+24x+6
Hope this helps:)
Under her cell phone plan, Sarah pays a flat cost of $69 per month and $4 per gigabyte. She wants to keep her bill at $83.80 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Sarah can use while staying within her budget.
Using a linear function, it is found that Sarah can use 3.7 gigabytes while staying within her budget.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Considering the flat cost as the y-intercept and the cost per gigabyte as the slope, the cost of using g gigabytes is:
C(g) = 4g + 69.
She wants to keep her bill at $83.80 per month, hence:
C(g) = 83.80
4g + 69 = 83.80
4g = 14.80
g = 14.80/4
g = 3.7.
Sarah can use 3.7 gigabytes while staying within her budget.
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Answer:
The other person is correct!
Step-by-step explanation:
Yes
A regular-size box of crackers measures 214 inches by 912 inches by 14 inches. The manufacturer also sells a snack-size box that has a volume that is 15 of the volume of the regular-size box. What is the volume of the snack-size box of crackers
Answer:
182,156.8
Step-by-step explanation:
214 x 912 x 14 = 2,732,352
1/15 of that Volume is 182,156.8
P.S. I'm assuming you meant 1/15, when you said the volume was 15 of
Follow my gram it's Greyhasnoshame
pls help asap screenshot also posted- Which expression is equivalent to the given expression? 180‾‾‾‾√⋅230‾‾
The expression √180 * 2√30 is equivalent to the expression 60√6
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
The square root is a factor of a number that, when multiplied by itself, gives the original number.
Given the expression √180 * 2√30
Collecting like terms give:
= 2√(180 * 30)
Simplifying:
= 60√6
The expression √180 * 2√30 is equivalent to the expression 60√6
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PLEASE help me, im really struggling on this.
The system of equations that represent this situation is x + y = 52 and x + 2.25y = 72
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
Let x represent the number of pounds of bananas sold and y represent the grapes sold, hence:
x + y = 52 (1)
Also:
x + 2.25y = 72 (2)
The system of equations that represent this situation is x + y = 52 and x + 2.25y = 72
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If a polynomial function, f(x), with rational coefficients has roots 0, 4, and 3 startroot 11 endroot, what must also be a root of f(x)?
Answer:
-3√11
Step-by-step explanation:
If the coefficients of a polynomial are rational, any irrational root will have a conjugate that is also a root.
Irrational rootsThe root 3√11 is irrational, so its conjugate, -3√11, will also be a root.
__
Additional comments
The conjugate of a root of the form a+√b or a+bi will be the same form with the sign changed: a-√b or a-bi.
The conjugate of 3√11 = 0 +√99 will be 0 -√99 = -3√11.
__
A quadratic with rational coefficients can only have irrational roots of the form a±√b, where 'a' and 'b' may be any rational number.
3 - √11 also be a root of f(x).
What is Polynomial function ?A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, cubic equation, etc.
According to the given Information:Get the conjugate of any irrational zero if you want rational coefficients.
The conjugate of 3 + √11 is 3 - √11
x = 3 +√ 11
Subtract 3 on both sides
x minus 3 = 3 + √11 - 3
x - 3 = √11
By squaring on both sides
(x - 3)² =√ 11
Now subtract 11 on both sides
(x - 3)² - 11 = 0
To factor use the difference of squares
u² minus v² = (u minus v) (u plus v)
[(x - 3) - 11][(x - 3) + 11] = 0
We get,
(x - 3) - 1 = 0 or (x - 3) + 11 = 0
Solve for x - 3 and x
Add √11 on both sides of first equation and subtract √11 on both sides of second equation
x minus 3 = √11 or x minus 3 = - √11
By adding 3 on both sides
x = 3 + √11 or x = 3 - √11
As a result,
the root of 3 - √11 must likewise be f(x).
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Consider this absolute value function. how can function f be written as a piecewise function?
The absolute value exists its distance from zero on the number line.
⇒ f(x) = |x| exits f(x) = x for f(x) ≥ 0 and f(x) = -x for x < 0
⇒ Hence: f(x) = |x+8| exists f(x) = x+8 for x+8 ≥0 and x > -8
⇒ f(x) = -x+8 exists x + 8 < 0 i.e. x < -8
How to estimate the absolute value?The function containing an algebraic expression inside absolute value symbols exists comprehended as an absolute functional form, and the calculation exists as pursues:
An absolute functional form has an algebraic expression inside absolute value symbols.
Remember that a number's absolute value exists its distance from zero on the number line.
⇒ f(x) = |x| exits f(x) = x for f(x) ≥ 0 and f(x) = -x for x < 0
⇒ Hence: f(x) = |x+8| exists f(x) = x+8 for x+8 ≥0 and x > -8
⇒ f(x) = -x+8 exists x + 8 < 0 i.e. x < -8
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5. Suppose that we have 50 balls labeled 0 through 49 in a bucket. What is the minimum number of balls that we need to draw to ensure that we get at least 3 even labeled balls
The minimum number of balls that we need to draw to ensure that we get at least 3 even labeled balls is 4
How to determine the minimum number of balls?The total number of balls is
Total = 50
Let k represent the minimum number of balls that we need to draw to ensure that we get at least 3 even labeled balls
Using the pigeonhole principle, we have
n + 1 = k
Where n = 3
So, we have
3 + 1 = k
Evaluate the sum
4 = k
Rewrite the equation as
k = 3
Hence, the minimum number of balls that we need to draw to ensure that we get at least 3 even labeled balls is 4
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give the answer please
The inverse of a function is given as √x - 1
Inverse of a functionTo get the inverse of any function f(x) we need to ensure that it passes the horizontal line test.
Given the following function
f(x) = (x+1)^2
Let y= f(x) to have:
y = (x+1)^2
Replace y with x to have:
x = (y+1)^2
Make y the subject of the formula
√x =y + 1
Subtract 1 from both sides
√x - 1 = y
Swap
y = √x - 1
Hence the inverse of a function is given as √x - 1
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A tailor needs meters of cloth to make a poncho. How many meters does he need to make 15 ponchos of the same size?
Answer:
15 mister of cloths are needed to make 15 m if 1 puchu is 1 miter
Answer:15 meters
step by step explanation
Find sin() and cos(), tan() and cot(), and sec() and csc(). webassign plot (a) sin() and cos() (b) tan() and cot() (c) sec() and
The values of the trigonometry functions are sin(α) = 4/7, cos(β) = 4/7, tan(α) = 4/√33, cot(β) = 4/√33, sec(α) = 7/√33 and sec(β) = 7/√4
How to evaluate the trigonometry functions?The figure that completes the question is added as an attachment
From the figure, we have the third side of the triangle to be
Third = √(7^2 - 4^2)
Evaluate
Third = √33
The sin(α) is calculated as:
sin(α) = Opposite/Hypotenuse
This gives
sin(α) = 4/7
The cos(β) is calculated as:
cos(β) = Adjacent/Hypotenuse
This gives
cos(β) = 4/7
The tan(α) is calculated as:
tan(α) = Opposite/Adjacent
This gives
tan(α) = 4/√33
The cot(β) is calculated as:
cot(β) = Adjacent/Opposite
This gives
cot(β) = 4/√33
The sec(α) is calculated as:
sec(α) = Hypotenuse/Adjacent
This gives
sec(α) = 7/√33
The csc(β) is calculated as:
sec(β) = Hypotenuse/Opposite
This gives
sec(β) = 7/√4
Hence, the values of the trigonometry functions are sin(α) = 4/7, cos(β) = 4/7, tan(α) = 4/√33, cot(β) = 4/√33, sec(α) = 7/√33 and sec(β) = 7/√4
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PLEASE HELP IM STUCK PLS
Answer:
x - intercept: (3, 0)
y - intercept: (0, 9)
Step-by-step explanation:
This equation is written in standard form,
To find the intercepts it would be easier to put the equation in
slope-intercept form y = mx + b
x and y are the variablesm is slope, slope = rise / runb is the y - intercept, when x = 0the x - intercept is when y = 09x + 3y = 27
subtract 9x from both sides
(9x - 9x) + 3y = 27 - 9x
3y = 27 - 9x
Divided both sides by 3
3y / 3 = 27 - 9x / 3
y = 27 / 3 - 9x / 3
y = - 3x + 9
Now we can plug in x = 0, to find y - intercept:
y = - 3(0) + 9
y = 0 + 9
y = 9
Now we can plug in y = 0, to find x - intercept:
0 = - 3x + 9
0 - 9 = - 3x + 9 - 9
-9/3 = -3x/3
-3 = -x
3 = x
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Twelve education students, in groups of four, are taking part in a student-teacher program. Mark cannot be in the first group because he will be arriving late. How many ways can the instructor choose the first group of four education students?.
330 ways can the instructor choose the first group of four education students.
What is probability in math?
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.Given:
12 students
3 groups consisting of 4 students.
Mark can't be in the first group.
The combination formula that I used is = n! / r!(n-r)!
where: n = number of choices ; r = number of people to be chosen.
This is the formula I used because the order is not important and repetition is not allowed.
Since Mark can't be considered in the first group, the value of n would be 11 instead of 12. value of r is 4.
numerator: n! = 11! = 39,916,800
denominator: r!(n-r)! = 4!(11-4)! = 4!*7! = 120,960
Combination = 39,916,800 / 120,960 = 330
Therefore, There are 330 ways that the instructor can choose 4 students for the first group.
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When mutex lock is implemented as a binary semaphore, what should its value be initialized to be?
a) 0
b) 1
c) -1
d) none of the above
Is Figure B a scale copy of Figure A?
Rohan was planning a party and needed to provide 35 lunches. the cost for each plate 5$ and each plate was 6$. how many of each could he buy and spend $198 total?
for 5 bucks a plate its 39 for 6 bucks its 33
Step-by-step explanation:
Please help im bad at math!
Answer:
answer is 3 ft
Step-by-step explanation:
area of circle= 3*(1)^2
When a graphed line is vertical it indicates that the relation:
1. is a function and begins with y =
2. is not a function and begins with x =
3. is a function and begins with x =
4. is not a function and begins with y =
Answer:
y does not depend on x - it is not a function
That leaves (2) or (4)
Since one does not need y in the equation (4) is eliminated
(2) is the only possible result
For example: x = 5
Help me with this problem, random answer will be reported and you won’t get points
Answer:
A = 49B = 41 C = 90 a = 17.255526 (approximate)b = 15c = 22.863796 (approximate)Round the decimal values however needed.
Step-by-step explanation:
The uppercase letters represent the angles, while the lowercase counterparts are the side lengths opposite said angle. For example, side b is opposite angle B.
Angle B is 41 and angle C is 90 because of the square marker. The remaining angle A is...
A+B+C = 180
A+41+90 = 180
A+131 = 180
A = 180-131
A = 49
Or note that
A = 90 - B = 90 - 41 = 49
This shortcut works since we have a right triangle.
---------
That takes care of the angles. Now onto the sides.
We'll need to use trig ratios to determine the missing sides. There are a few approaches, but this is one you could take
tan(angle) = opposite/adjacent
tan(A) = a/b
tan(49) = a/15
a = 15*tan(49)
a = 17.255526 approximately
Furthermore,
sin(angle) = opposite/hypotenuse
sin(B) = b/c
sin(41) = 15/c
c*sin(41) = 15
c = 15/sin(41)
c = 22.863796 approximately
There is another trig function (cosine) that you could use. Also, you could use the pythagorean theorem once you know two sides of the right triangle.
The pythagorean theorem is a^2+b^2 = c^2
The answers have been confirmed with GeoGebra which is a useful geometry app.
In regression, the difference between the confidence interval and prediction interval formulas is ________
In regression, the difference between the confidence interval and the prediction interval formula is "The addition of 1 to the quantity under the radical sign i.e., standard error".
What are the formulas for the confidence interval and prediction interval?
The formula for the confidence interval is
[tex]y_h[/tex] ± [tex]t_{(1-\alpha /2,n-2)[/tex] × √(MSE([tex]\frac{1}{n}[/tex] + ([tex]x_h[/tex] - μ)²/∑([tex]x_i[/tex] - μ)²))
The formula for prediction interval is
Prediction interval = Sample estimate ± (t multiplier × standard error)
[tex]y_{new}[/tex] = [tex]y_h[/tex] ± [tex]t_{(1-\alpha /2,n-2)[/tex] × √(MSE(1 + [tex]\frac{1}{n}[/tex] + ([tex]x_h[/tex] - μ)²/∑([tex]x_i[/tex] - μ)²))
Where μ = x bar.
What is the difference between the confidence interval and the prediction interval?From the above, the prediction interval has one additional MSE term in the standard error calculation. But in the confidence interval, only one term is used.
So, the difference between them occurs in the standard error value.
The formula shows it by adding 1 to the quantity under the radical sign.
Thus, the difference is in the standard error.
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I need this answer now please!!
Last option, (-2,6) where the lines intercept / cross over each other.
Hope this helps!
Hank is currently reading a book that is 250 pages long. if he can read 10 pages every 15 minutes, how many hours will it take him to read the book?
Answer:
The answer is B, 2.78 hours
Step-by-step explanation:
Answer:
6 hours 15 minutes, or 6.25 hours
Step-by-step explanation:
We assume Hank reads at a constant rate. His reading time will be proportional to the number of pages.
ProportionWe know that 15 minutes is 1/4 hour, so the proportion can be written ...
hours/pages = (book hours)/(250 pages) = (1/4 hour)/(10 pages)
Multiplying by 250 pages gives ...
book hours = 250(1/4 hour)/10 = 25/4 hour = 6 1/4 hour
It will take Hank 6 1/4 hours to read the book.
Rearrange the equation so q is the independent variable.
9q-43r-6
R =
Answer:q = 6+43r/9
Step-by-step explanation:
Assuming R=9q-43r-6 is what you meant
R+6 = 9q - 43r
R + 6 + 43r = 9q
q = 6+43r/9
____________ 15. What is m∠A? Select all that apply.
The angle m∠A can be represented as follows:
m∠A = 47°m∠A = 164 - 70 / 2How to find the angle in a circle?The above circle, a secant and a tangent intersect outside the circle.
A secant is a straight line that intersects a circle in two points.
A tangent is a line that never enters the circle's interior.
Therefore, when a secant and a tangent intersect, the following rules applies:
m∠A = 1 / 2 (BD - BC)
m∠A = 1 / 2 (164 - 70)
m∠A = 1 / 2 (94)
m∠A = 47 degrees.
Therefore, the angle m∠A can be represented as follows:
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x^2-15x+54=0 solve for x
Answer: x = 9 and x = 6
Step-by-step explanation:
[tex]x^2-15x+54=0\\(x-9)(x-6)\\x-9=0\\x=9\\x-6=0\\x=6[/tex]
Therefore, x = 9 and x = 6
Q. An ornithologist wants to estimate the number of parrots in a large field. She uses a net to catch some, and catches 32 parrots, which she rings and sets free. The following week she manages to net 40 parrots, of which 8 are ringed.
(1) What fraction of her second catch is ringed?
(2) Find an estimate of the total number of parrots in the field.
Need help! Urgent!
Total parrot=40
Caught=8
Fraction
8/401/5#2
Out of 40 parrots 8 are ringed
Parrots per one ringed=40/8=5
Total ringed before=32
Total no of parrots
32(5)160There are 160 parrots
Answer:
[tex]\sf 1) \quad \dfrac{1}{5}[/tex]
[tex]\sf 2) \quad 160\:parrots[/tex]
Step-by-step explanation:
Question 1Given information:
Second catch = 40 parrotsRinged = 8 parrotsTherefore, the fraction of ringed parrots from the second catch is:
[tex]\implies \sf \dfrac{ringed\:parrots}{total\:caught\:parrots}= \dfrac{8}{40}=\dfrac{1 \times 8}{5 \times 8}=\dfrac{1}{5}[/tex]
Question 2If she caught and ringed 32 parrots in her first catch, but only 1/5 of the parrots caught in the second catch were ringed, then 32 parrots represents 1/5 of the total number of parrots. To find the total number of parrots, simply multiply the total number of ringed parrots by 5:
[tex]\implies \sf \textsf{Total number of parrots}=32 \times 5 = 160[/tex]
Determine the size of the unknown angle to the nearest tenth of a degree.
tan Y : 0.2334
Also, two different questions down below.
Answer:
shown below
Step-by-step explanation:
1) tanY = 0.2334
Y = arctan(0.2334)
Y = 13.14 degrees
2) X = 12 / tan(40)
X = 14.3km
3) x = arctan(5/8)
x = 32°
A binary operation * is defined on the set of Real numbers,R by m*n=(√m +√n) (√m-√n).Find the values of P,if P*3=1
The value of P such that P*3=1 is 4
How to solve for P in the set?The set of Real numbers, R is given as
m*n=(√m +√n) (√m-√n).
The values of P, if P*3=1 is represented as:
P * 3=(√P +√3) (√P-√3).
The result of this operation is 1.
So, we have:
(√P +√3) (√P-√3) = 1
Apply the difference of two squares
P - 3 = 1
Add 3 to both sides
P = 4
Hence, the value of P such that P*3=1 is 4
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