Answer:
4x^2-9x+7+\frac{x-2}{x^2+x+1}
Step-by-step explanation:
Here is a hopefully helpful answer! :)
A rectangular farm has an area of 1/2 square miles. If its length is 1/3 miles, what is its width?
Prove that the following formulas are constants by two methods (set table and equivalent transformations) :
1 . ( m →(N v Q)) →((M→N) v (M→Q))
2.((T v U) → V) → (T → (U → V))
At the market, he spends $5.58 on red potatoes and $4.68 on yellow potatoes. If each type of potato costs $0.90 per pound, how many total pounds of potatoes does he buy?
Answer:
11.4pounds
Step-by-step explanation:
(5.58+4.68)÷0.90
=11.4(pounds)
HELP TIMER Write the equation of a hyperbola centered at the origin with x-intercept +/- 4 and foci of +/-2(squareroot 5)
Answer:
[tex]\frac{x2}{a} - \frac{y2}{b2} = 1[/tex]
Step-by-step explanation:
A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.
The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:
[tex]\frac{X2}{16} - \frac{b}{4} = 1[/tex]
The coordinates of the foci is at (±c, 0), where c² = a² + b²
Given that a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:
I don't feel like explaining so...
a. = 4
The foci c is at +/-2√5, using c² = a² + b²:
B = 2
Substituting the value of a and b to get the equation of the hyperbola:
[tex]\frac{x2}{a2} - \frac{y2}{b2} = 1[/tex]
[tex]\frac{x2}{16} - \frac{b2}{4} = 1[/tex]
Evaluate the variable expression when a = -2, b = 5, C = -5, and d = 3.
-4b + 1 (ac + bd)
5
5
Answer:
-4(5)+1(-2*-5+5*3)
Step-by-step explanation:
-20+1(10+15)
-19(25)
-475
Answer:
5
Step-by-step explanation:
Given :- a = -2 , b = 5 , c = -5 & d = 3
Solution :-
- 4 b + 1 ( ac + bd )- 4 ( 5 ) + 1 ( (-2)(-5) + (5)(3))-20 + -2 × -5 + 3 × 5-20 + 10 + 15- 20 + 255In terms of \piπ, how much bigger is the area of a pizza with a diameter of 18 in. than the area of pizza with a diameter of 10 in.?
Answer:
56л
Step-by-step explanation:
area of a pizza of 18 in= лr²
r=18/2=9
area= л×9²
=81л
area of a pizza of 10in=
r=10/2=5
area=л×5²
=25л
difference=81л-25л
=56л
10.6.23
Question Help
Becky would like to be a millionaire in 40 years. How much would she need to invest quarterly in a sinking
fund paying a 3% interest rate compounded quarterly to accumulate $1,000,000 in 40 years?
I = $ 1,200,000.00
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year,
then, solving our equation
I = 1000000 × 0.03 × 40 = 1200000
I = $ 1,200,000.00
The simple interest accumulated
on a principal of $ 1,000,000.00
at a rate of 3% per year
for 40 years is $ 1,200,000.00.
Daniel and Joe watched a beetle and a spider on the sidewalk. The beetle crawled 1/2 of a yard and the spider crawled 1/8 of a yard. How much farther did the beetle crawl than the spider?
Answer: 3/8 yard
Step-by-step explanation:
Since the beetle crawled 1/2 of a yard and the spider crawled 1/8 of a yard. To calculate how much farther the beetle crawl than the spider, we will have to subtract 1/8 from 1/2. This will be:
= 1/2 - 1/8
= 4/8 - 1/8
= 3/8 yard
Therefore, the beetle covered 3/8 yard more.
Espanol
At the movie theatre, child admission is $5.70 and adult admission is $9.40. On Sunday, 135 tickets were sold for a total sales of S1080.30. How many adult
tickets were sold that day?
9514 1404 393
Answer:
84 adult tickets
Step-by-step explanation:
Let 'a' represent the number of adult tickets sold. Then (135-a) is the number of child tickets sold, and total revenue is ...
5.70(135 -a) +9.40(a) = 1080.30
3.70a = 310.80 . . . . . . . . subtract 769.50 and simplify
a = 310.80/3.70 = 84
84 adult tickets were sold on Sunday.
A recent study at Winthrop University was done to determine the ratio of democrats to republicans. Use the information in each problem to come up with an appropriate sample size to accurately estimate the mean. Let a republican represent a success r. If no preliminary sample is taken, how large should the sample be to be 90% sure that the estimate is within .03 of the population proportion?
Answer:
A sample of 752 should be taken.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
No preliminary sample is taken
This means that [tex]\pi = 0.5[/tex]
How large should the sample be to be 90% sure that the estimate is within .03 of the population proportion?
This is n for which M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645*0.5[/tex]
[tex]\sqrt{n} = \frac{1.645*0.5}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645*0.5}{0.03})^2[/tex]
[tex]n = 751.7[/tex]
Rounding up:
A sample of 752 should be taken.
Question 8 of 10
Suppose f(x) = x2 and g(x)= Which statement best compares the
graph of g(x) with the graph of f(x)?
O A. The graph of g(x) is the graph of Ax) shifted units left.
O B. The graph of g(x) is the graph of f(x) horizontally stretched by a
factor of 5.
O c. The graph of g(x) is the graph of f(x) vertically stretched by a
factor of 5.
O D. The graph of g(x) is the graph of f(x) horizontally compressed by a
factor of 5.
SUBMIT
9514 1404 393
Answer:
B. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 5
Step-by-step explanation:
Replacing x by x/5 in a function causes its graph to be stretched horizontally by a factor of 5. This is because x must be 5 times as large in order for the function argument to be the same.
What is the factored form of x2 − 4x − 5? (x + 5)(x − 1) (x + 5)(x + 1) (x − 5)(x − 1) (x − 5)(x + 1)
What is the value of h?
Answer:
35
All angles of a triangle = 180 degrees subtract 40 from 180 and you get 140
180-40=140 because the other angles are equal with the same equation to get them divide 140 by 2 140/2=70 then you have to get h alone so you divide by the other 2 in the equation 70/2=35 h=35
Answer:
55
Step-by-step explanation:
In triangle ABC (LET'S SAY TRIANGLE IS ABC)
Angle A=40
Angle B = Angle C = x (since 2h is beside B and C both)
40+x+x=180 (Angle sum property)
40+2x=180
2x=140
x=70
2h+70=180 (Angle in a straight line=180)
2h=110
h=55
What is the slope of the line that passes through the points (3, 2) and (-1,-4)?
m=
Answer:
3/2
Step-by-step explanation:We know that,
Slope of the straight line passing through the points (x1,y1) and (x2,y2) is
m=y2-y1/x2-x1
Here,
Given, x1= 3,x2= 1
and y1= 2,y2= -4
so, the slope of the straight line is,
m= -4-2/-1-3
=3/2
Help!!!
I will mark you
Answer:
832.6lbs
Step-by-step explanation:
Solve for x:
х/2 = 8
O A) X= 17
OB) x = 18
OC) x = 16
OD) x = 12
Hi there!
»»————- ★ ————-««
I believe your answer is:
C) x = 16
»»————- ★ ————-««
Here’s why:
We will use inverse operations to solve for 'x'.⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'x'...}}\\\\\frac{x}{2}=8\\-------\\\rightarrow{\frac{x}{2}=8}\\\\\rightarrow(\frac{x}{2}})*2=8*2\\\\\rightarrow\boxed{x=16}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Answer:
x = 16
Step-by-step explanation:
х/2 = 8
Multiply each side by 2
x/2*2 = 8*2
x = 16
Using Figure 1, complete the following function.
sin θ=
A. u/r
B. v/r
C. u/v
D. r/v
E. v/u
F. r/u
Given:
A figure of right triangle with terminal angle [tex]\theta[/tex], base u, perpendicular v and hypotenuse r.
To find:
The value of [tex]\sin \theta[/tex].
Solution:
In a right angle triangle,
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
Substituting Perpendicular = v and hypotenuse = r in the above formula, we get
[tex]\sin \theta=\dfrac{v}{r}[/tex]
The value of [tex]\sin \theta[/tex] is [tex]\dfrac{v}{r}[/tex].
Therefore, the correct option is B.
What is the surface area of the rectangular prism?
5 ft
5 ft
8 ft
Help me with my geometry homework
Answer:
10.5 is the answer
Step-by-step explanation:
i hope it helps u
Answer:
is the answer y=7? if correct its ok but if the answer didn't match then plesse let me know
Kim is 3 years older than marley. The sum of marleys age and twice Kims age is 63. Which equations can be used to determine marleys age?
Step-by-step explanation:
the answer is in the above image
Following is a portion of the regression output for an application relating maintenance expense (dollars per month) to usage (hours per week) for a particular brand of computer terminal. When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as
Answer:
Matched samples
Step-by-step explanation:
A matched sample is obtained when pairing of treatment values for each subject or observation is performed. This sample obtained from a matched pair is usually called dependent sample and is usually done when each subject in an experiment is subjected to two different treatments usually at different time or stage. Hence, matched samples are used in matching observations to tie different groups.
5.Square Given:a =12m,A=
Pa help po
If s=side, then each side is 12m.
It got cut off but
12mx12m=144m^2 because mxm=m^2.
heart if helpful
a recent study showed that the average high school basketball team score 76 points a game with a standard deviation of 8.4 points. Find the probability that a random team scores less than 64 points
Answer: 0.0766
Step-by-step explanation:
Let x be the random team scores.
Given: Mean = 76
Standard deviation = 8.4
We assume that x follows normal distribution.
The probability that a random team scores less than 64 points = P(x<60)
[tex]=P(\frac{x-\mu}{\sigma}<\frac{64-76}{8.4})\\\\=P(z<-1.4286) \ \ \ [Z=\frac{x-\mu}{\sigma}]\\\\= 1-P(z<1.4286)\\\\=1-0.9234\\\\=0.0766[/tex]
Hence, the probability that a random team scores less than 64 points =0.0766
Pls help again thanks
Answer:
d.156.
x+24=180 ( being staright angle)
The terms central location or central tendency relate to the way quantitative data tend to cluster around some middle or central value.
a. True
b. False
Answer:
A: True
Step-by-step explanation:
It's true because central tendency is defined as a branch of descriptive statistics that shows the centre of the data distribution.
This central tendency could be mean, median or mode.
Find the remainder when x³ - ax² + 6x - a is divided by x - a
Answer:
Solution is on pic hope it helps youpls help it'd be appreciated
Answer:
option A
Step-by-step explanation:
∠WPS +∠OPW = 180 {straight line}
∠WPS +110 = 180
∠WPS = 180 - 110
∠WPS = 70°
∠RWQ + ∠QWT +∠TWU = 180 {straight line}
∠RWQ + 60 + 50 = 180
∠RWQ + 110 = 180
∠RWQ = 180 - 110
∠RWQ= 70°
∠PWU + ∠USP + ∠ WPS = 180 {angle sum property of triangle}
∠PWU + 40 + 70 = 180
∠PWU + 110 = 180
∠PWU = 180 - 110
∠PWU = 70°
Answer:
A
Step-by-step explanation:
∠WPS +∠OPW = 180 (adj angles on a str line)
∠WPS +110 = 180
∠WPS = 180 - 110
= 70°
∠RWQ + ∠QWT +∠TWU = 180 (adj angles on a str line)
∠RWQ + 60 + 50 = 180
∠RWQ + 110 = 180
∠RWQ = 180 - 110
= 70°
∠PWU + ∠USP + ∠ WPS = 180 (adj angles on a str line)
∠PWU + 40 + 70 = 180
∠PWU + 110 = 180
∠PWU = 180 - 110
= 70°
What is the factored form of y=-2x^2-8x+0
Answer:
(2x-4()(x-2)
Step-by-step explanation:
this is how it looks when factorised
Answer:
y=-2x^2-8x
you can use a factor form helper and from that it can show you examples on how to solve it
as central angle is to 360 degrees.Arc length is to
A.circumference
B.area
C.sector
D. Diameter
If central angle is 360° then Arc length is circumference.
What is the central angle of a Circle?
An angle with the circle's center as its vertex is referred to as a central angle. The radius refers to each side of the angle that extends outward from the center to a particular point on the circle.
What is circumference?A circle's perimeter is known as its circumference. It is the circumference of the circle as a whole. A circle's circumference is calculated by multiplying its diameter by the constant. This measurement of a circle's diameter is necessary for someone crossing a circular park or for enclosing a circle. The units for the circumference, which is a linear variable, are the same as those for length.
How to solve it?Since, when considering the circle's central angle we consider 360° which is the central angle of the whole circle.
So, when considering the arc length of a sector, we consider the arc length of the whole circle which is the circumference.
Learn more about circles here-
brainly.com/question/11833983
#SPJ2
Garcia bought 3 packs of red notebooks, 5 packs of yellow notebooks, and 8 packs of green notepads. There were 3 notepads in each package. How many notepads in all?
What is the expression?
The answer is 48 notepads.