Answers
Answer:
54 square units
Step-by-step explanation:
144 - 18 - 4(18) = 54 square units
Related Questions
James is studying the decline of a certain bird species. James’ observations are as follows: Year 1900 1950 1990 2005 Population (in thousands) 6012 72 2 .5 What is the best fit exponential decay equation for this decline? 5=6012(1-0.06)105 At what year did the population first drop below 1,000,000? If this trend continues, what will be the population in 2020?
Answers
Find the slope (rate of change) of each representation. Please explain how you got it.
Answers
Answer:
m = -3/2
Step-by-step explanation:
To find the slope of the representation, use the slope formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
I'll pick (-4, 9) and (-2, 6) in this instance.
[tex]m=\frac{9-6}{-4-(-2)}\\\\m=-\frac{3}{2}[/tex]
Therefore, the slope of the representation is -3/2.
Answer:
-3/2
Step-by-step explanation:
To find the slope, we can use the formula
m = ( y2-y1)/(x2-x1)
= ( -6 -9)/(6 - -4)
= (-6-9)/(6+4)
-15/10
-3/2
please just (c)fog-¹
Answers
f(x) = 1/(1 - x)
g(x) = (x - 1)/x
The inverse functions f ⁻¹(x) and g ⁻¹(x), if they exist, are such that
f( f ⁻¹(x) ) = x
g( g ⁻¹(x) ) = x
So we have
f( f ⁻¹(x) ) = 1/(1 - f ⁻¹(x) ) = x
Solve for f ⁻¹(x) :
1 = (1 - f ⁻¹(x) ) x
1 - f ⁻¹(x) = 1/x
f ⁻¹(x) = 1 - 1/x
f ⁻¹(x) = (x - 1)/x
and so f ⁻¹(x) = g(x).
Similarly, you can solve for g ⁻¹(x) :
g( g ⁻¹(x) ) = (g ⁻¹(x) - 1) / g ⁻¹(x) = x
1 - 1/g ⁻¹(x) = x
1/g ⁻¹(x) = 1 - x
g ⁻¹(x) = 1/(1 - x)
So we know f(x) and g(x) are inverses of one another,
f ⁻¹(x) = g(x)
g ⁻¹(x) = f(x)
Then
(a) (f o g)(x) = x
(b) (g o f ⁻¹)(x) = g(g(x)) = (g(x) - 1)/g(x) = 1 - 1/g(x) = 1 - x/(x - 1) = 1/(1 - x)
(c) (f o g ⁻¹)(x) = f(f(x)) = 1/(1 - f(x) ) = 1/(1 - 1/(1 - x)) = 1/(x/(x - 1)) = (x - 1)/x
What is the perimeter of the right triangle with legs (2x + 1) feet and (4x - 4) feet and hypotenuse (4x - 1) feet? Give your answer in terms of x in the simplest form.
Answers
Answer:
10x-4 feet
Step-by-step explanation:
The perimeter is the amount of the sides together so add the three sides together
2x+1+4x-4+4x-1
Combine like terms
10x-4
(You can also factor out 2 but that would not be simplest --> 2(5x-2))
Find an equation for the line with the given properties.
x-intercept = 2; y-intercept = -3. y =
Answers
Answer:
[tex]y=\displaystyle\frac{3}{2}x-3[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x=0)
We're given:
⇒ x-intercept = 2
⇒ y-intercept = -3
1) Determine the slope (m)
[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Given the x- and y-intercepts, we can rewrite them as points:
x-intercept = 2
⇒ (2,0)
y-intercept = -3
⇒ (0,-3)
Plug these points into the equation:
[tex]m=\displaystyle\frac{0-(-3)}{2-0}\\\\m=\displaystyle\frac{0+3}{2}\\\\m=\displaystyle\frac{3}{2}[/tex]
Therefore, the slope of the line is [tex]\displaystyle\frac{3}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\displaystyle\frac{3}{2}x+b[/tex]
2) Plug in the y-intercept (b)
[tex]y=\displaystyle\frac{3}{2}x+b[/tex]
We're given the y-intercept: -3. Plug this into [tex]y=\displaystyle\frac{3}{2}x+b[/tex]:
[tex]y=\displaystyle\frac{3}{2}x+(-3)\\\\y=\displaystyle\frac{3}{2}x-3[/tex]
I hope this helps!
A biology class has a total of 35 students. The number of females is 11 less than the number of males. How many males and how many females are in the class?
Answers
Answer:
23 males and 12 females
Step-by-step explanation:
x = # of females
y = # of males
x + y = 35
x + x + 11 = 35
2x + 11 =35 (SUBTRACT 11 FROM BOTH SIDES)
2x = 24 (DIVIDE BOTH SIDES BY 2)
x = 12 females
x + y =35
12 + y = 35 (SUBTRACT 12 FROM BOTH SIDES)
y = 23 males
23 males + 12 females = 35 students
Evaluate the expression when a=-6.
a^2 + 5a - 5
Answers
Answer:
61
Step-by-step explanation:
(6)^2+5(6)-5
=36+30-5
=61
Answer:
1
Step-by-step explanation:
[tex]( - 6) {}^{2} + 5 \times - 6 - 5 \\ 36 - 30 - 5 \\ 36 - 35 \\ = 1[/tex]
please help me answer this math question, it is really important
Answers
Answer:
3 three point baskets
9 two point baskets
4 one point baskets
Step-by-step explanation:
Since you cannot have a 1/3 or 2/3 of a three point basket, finding multiples of threes for the initial two point baskets is the easiest way to start.
9 two point baskets
And 4 one point baskets
Match the arc or central angle to the correct measure based on the figure below.
Answers
Answer:
a. 50 degrees
b. 130 degrees
c. 180 degrees
d. 230 degrees
a. 50°
b. 130°
c. 180°
d. 230°
what is geometry?geometry, the department of mathematics deals with the shape of individual objects, spatial relationships among various objects, and the properties of surrounding space.
various shapes in geometry have different angle measures. as an example: A triangle is a 3-sided shape and the sum of its 3 interior angles is 180˚ A square, rectangle or quadrilateral are 4-sided shapes, and the sum of their four interior angles is 360˚
Learn more about geometry here
brainly.com/question/25766008
#SPJ2
The times to pop a 3.4-ounce bag of microwave popcorn without burning it are Normally distributed with a mean
time of 140 seconds and a standard deviation of 20 seconds. A random sample of four bags is selected and the
mean time to pop the bags is recorded. Which of the following describes the sampling distribution of all possible
samples of size four?
Answers
This question is solved using the central limit theorem, giving an answer of:
Fourth option, approximately normal with mean of 140 seconds and standard deviation of 10 seconds.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 140, standard deviation of 20, sample of 4:
By the Central Limit Theorem, the distribution is approximately normal.
Mean is the same, of 140.
[tex]n = 4, \sigma = 20[/tex], thus:
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{20}{\sqrt{4}} = 10[/tex]
Thus, the correct answer is:
Fourth option, approximately normal with mean of 140 seconds and standard deviation of 10 seconds.
For another example of the Central Limit Theorem, you can check https://brainly.com/question/15519207
Solve the inequality.
|11 – xl < 20
[?] < x < [ ]
Answers
Answer:
-9<x<31
Step-by-step explanation:
|11 – xl < 20
There are two solutions, one positive and one negative, remember to flip the inequality for the negative
11-x < 20 and 11 -x > -20
Subtract 11 from each side
11-x-11 <20-11 and 11-x-11 >-20-11
-x <9 and -x > -31
Multiply each side by -1, remembering to flip the inequality
x>-9 and x< 31
-9<x<31
A county fair sold 1,750 tickets, each of which was either an adult or children's ticket, and earned a total of \$27,000. The fair earned 25\% more from adult tickets than from children's tickets, but sold 25\% fewer adult tickets than children's tickets. How much did a children's ticket cost
Answers
Answer:
Step-by-step explanation:
Let the number children tickets = c
Number of adult tickets = 75% of c = 0.75c
c + 0.75c = 1750
1.75c = 1750
c = 1750/1.75 = 1000
Number of children = 1000
Number of adults = 75% of 1000 = 750
Cost of adult ticket = $ x
Cost of child ticket = 75% of x = 0.75x
Cost of 750 adult ticket = 750x
Cost of 1000 children ticket = 1000 * 0.75x = 750x
750x + 750x = 27000
1500x = 27000
x = 27000/1500
x = $ 18
Cost of adult ticket = $ 18
Cost of children ticket = 75% of 18 = 0.75 * 18 = $ 13.5
Cost of children's ticket = $ 13.50
Sin(a+b)=?
Cos(a+b)=
Answers
Answer:
sin (a+b)= sina*cosb - sinb*cosa
cos (a+b) = cosa*cosb + sina*sinb
Answer:
sin (A + B) = sin A cos B + cos A sin B
cos (A + B) = cos A cos B - sin A sin B
on:
15 people are sharing $482 fairly between them. How many dollars should each person take?
Answers
Explanation:
$482/15 = $32.1
Express it in slope
Enter the corre
000
Clear all
-8
8
In slope-intercept form
Answers
In this question, we are given two points, (0,0) and (-8,8), and we want to find the equation of the line in slope-intercept formula.
Slope-intercept formula:
The equation of a line, in slope-intercept formula, is given by:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept(value of y when x = 0)[/tex]
Point (0,0):
This means that when [tex]x = 0, y = 0[/tex], and thus, the y-intercept is [tex]b = 0[/tex], and the equation of the line is:
[tex]y = mx[/tex]
Slope:
When we have two points, the slope is given by the change in y divided by the change in x.
In this question, the two points are (0,0) and (-8,8).
Change in x: -8 - 0 = -8
Change in y: 8 - 0 = 8
Slope:
[tex]m = \frac{-8}{8} = -1[/tex]
Thus, the equation of the line, in slope-intercept formula, is:
[tex]y = -x[/tex]
For another example of an equation of a line in slope-intercept formula, you can check https://brainly.com/question/21010520
The equation of the line that passes through [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex] is [tex]y = -x[/tex].
According to the statement, we know the location of two Points: [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex], and must derive the Equation of the Line from this information, whose procedure is described below:
1) Determine the Slope of the line by the Slope Equation for Secant Lines.
2) Use ([tex]x_{1}, y_{1}[/tex]) in the Equation of the Line and solve for the Intercept.
3) Write the resulting Equation of the Line.
Step 1:
The slope of a secant line ([tex]m[/tex]) is calculated from the following formula:
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] (1)
If we know that [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex], then the slope of the line is:
[tex]m = \frac{8-0}{-8-0}[/tex]
[tex]m = -1[/tex]
Step 2:
The equation of the line is Slope-Intercept Form is now represented:
[tex]y = m\cdot x + b[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]b[/tex] - Intercept.
If we know that [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex]m = -1[/tex], then the intercept of the equation of the line is:
[tex]0 = -1\cdot (0) + b[/tex]
[tex]b = 0[/tex]
Step 3:
And the equation of the line that passes through [tex](x_{1}, y_{1}) = (0, 0)[/tex] and [tex](x_{2}, y_{2}) = (-8, 8)[/tex] is [tex]y = -x[/tex].
Related question: https://brainly.com/question/18894159
Does this graph show a function? explain how you know
Answers
An average of 20 apples were sold from Monday to Friday. After the sales on Saturday and Sunday, the average apples sold per day increased to 33. How many apples were sold on Saturday and Sunday?
Answers
Work:
Monday - Friday : 5 days
20 x 5 = 100 apples
Monday - Sunday: 7 days
33 x 7 = 231 apples
231 - 100 = 131
What is
f(x)=(x-2)(x-6) in standard form
Answers
y
=
x
2
−
4
x
−
12
Explanation:
This is a function of degree
2
i.e. quadratic equation and its standard firm is
y
=
a
x
2
+
b
x
+
c
. Hence, the standard form for
y
=
(
x
+
2
)
(
x
−
6
)
is
=
x
(
x
−
6
)
+
2
(
x
−
6
)
=
x
2
−
6
x
+
2
x
−
12
=
x
2
−
4
x
−
12
but this is for x+2 instead of x-2
can someone help me figure out how much my final exam is weighted?
in the grade book there are:
6 assignments for 10 points each
52 assignments for 20 points each (it’s not a typo i promise there was actually 52)
5 assignments for 30 points each
5 assignments for 40 points each
and 1 assignment for 60 points (aka the final exam)
my grade is an average of all of these different assignments combined. How much is my exam weighted- can you even calculate this? (i just want to know so i can see what score i need to get to pass with an a)
Answers
Answer:
About 4%
Step-by-step explanation:
6x10=60
52x20=1040
5x30=150
5x40=200
1x60=60
Total Points available:1510
Final Exam is 60 points
60/1510=0.0397
6.17 greater or less 61 87/100
Answers
Answer:
Less
Step-by-step explanation:
[tex]6.17 < 6.187 [/tex]
How is 1.35 x 10-5 written in standard notation?
A.
135.000
C.
0.00000135
Answers
Answer:
C.
Brainliest, please!
Step-by-step explanation:
A negative exponent means that the number is really small, which is true in this case.
Answer:
0.00000135
Step-by-step explanation:
1.35 x 10-5 means,
1.35/100000
=>0.00000135
U is the centroid of ∆SRT. What is the length of segment UV if length of UT = 3 cm?
Answers
Answer:
1.5 cm
Step-by-step explanation:
Since U us the centroid, the ratio between UV and UT is 1:2, UT = 3
so UV = 3/2 = 1.5 cm
What is the probability of getting ALL 2 red balls in a bag containing 24 balls?
Answers
Answer:
1 / 276
Step-by-step explanation:
The total Number of balls in the bag = 24
Number of red balls = 2
Assume the number of picks required = 2 and selection is performed without replacement ;
The probability of :
Choosing a red on first pick = (number of red balls / total number of balls) = 2 / 24
After first pick, red balls left = 1 ; total number of balls = 23
Choosing a red on second pick = (number of red balls / total number of balls = 1 / 23
Hence,
(2/24) * (1/23) = 2 / 552 = 1/276
11. PLEASE HELP ME
A ball is thrown into the air with an upward velocity of 48 ft/s. Its height h in feet after t seconds is given by the function h= -16t2 + 48t + 6. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball’s maximum height?
A. 1.5 s; 42 ft
B. 1.5 s; 114 ft
C. 3 s; 6 ft
D. 1.5 s; 54 ft
Answers
Answer:
A. 1.5 s; 42 ft
Step-by-step explanation:
1.5 sec and will reach a height of 42 feet
that is the vertex
for y=ax^2+bx+c
the x value of teh vertex is
the y value is found by subsituting the x value of the vertex for x
so
h=-16t^2+48t+6
a=-16
b=48
c=6
x value of vertex is
subsituting it for x we get
it reaches the max height of 42ft at 1.5 seconds
can you help me find the slope intercept on the second one?
Answers
Answer:
y= 8x + 5
Step-by-step explanation:
y = 8x + b
5 = 8(0)+b
b = 5
Subtract these polynomials.
(3x^2 - 2x + 5) - (x^2 + 3) =
O A. 4x² - 2x + 2
OB. 4x^2 - 2x + 8
O C. 2x^2- 2x + 8
D. 2x^2- 2x + 2
Answers
What is the expected number of tails when a fair coin is tossed 100 times?
Answers
Answer:
50 times
Step-by-step explanation:
Assuming a fair coin (probability of heads = 1/2), the expected number of heads (in the sense of mathematical expectations) is 100*1/2 = 50.
A deposited 7500 Dollars in a bank and received interest of 900 Dollars after one year. B received interest of 1440 Dollars after one year at the same rate. How much did B deposit in the bank?
Answers
Answer:
If the rate of interest is 12% than the answer is 12000
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Franklin used the polynomial expression x(x−3)(x+4) to model the volume of a rectangular prism. What is the length of the shortest side of this prism? A x B x−3 C x2−3x D x3+x2−12x
Answers
Answer:
[tex]x - 3[/tex]
Step-by-step explanation:
Given
[tex]Volume = x(x - 3)(x + 4)[/tex]
Required
The shortest side
The volume of a rectangular prism is:
[tex]Volume = Length * Width * Height[/tex]
By comparison, we have:
[tex]Length = x[/tex]
[tex]Width = x-3[/tex]
[tex]Height = x + 4[/tex]
In ascending order, the sides are:
[tex]Width = x-3[/tex]
[tex]Length = x[/tex]
[tex]Height = x + 4[/tex]
This is so because:
Irrespective of the value of x
x - 3 will be less than x
x + 4 will be more than x
Hence, the shortest length is:
[tex]Width = x-3[/tex]
Answer:
b
Step-by-step explanation:
can anyone help me with this?
Answers
B=52
C=152
I’ve attached my work on how I got these answers
Hope this helps!
Answer:
Step-by-step explanation:
a + 45 + 70 = 180 45 becomes an interior angle by being opposite a given vertically opposite angle.
a + 115 = 180 Subtract 115 from both sides
a = 65
b + 68 + 65 = 180 A straight line is 180 degrees.
b + 133 = 180
b = 180 - 133
b = 47
In the triangle b + c + 100 = 180
b = 47
47 + c + 100 = 180
147 + c = 180
c = 33
If C is an exterior angle then C + 33 = 180
C = 147
You have to decide whether c is an interior angle ( in which it is 33) or an exterior angle (in which case it is 147).
