Answer:
y = 5
Step-by-step explanation:
[tex]x \ \alpha \ y[/tex]
[tex]=> x = k \times y\\=> 35 = k \times 7\\=> k = 5[/tex]
[tex]x = k \times y[/tex]
[tex]=>25 = 5 \times y\\ =>5 = y[/tex]
Answer:
y = 5
Step-by-step explanation:
x = 35, y = 7
x = ?y
35 = ?7
? = 5
x = 25, y = ?
x = ?y
25 = 5y
y = 5
What is the vertical asymptotes of 4x^7+3x+11/5x-10
Answer:
x = 2
Step-by-step explanation:
The denominator of the rational function cannot be zero as this would make it undefined.
Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
5x - 10 = 0 ⇒ 5x = 10 ⇒ x = 2 ← excluded value
Thus x = 2 is the vertical asymptote
A rectangular farm has an area of 1/2 square miles. If its length is 1/3 miles, what is its width?
Help please don’t understand!!!!
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.
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 + 255Garcia 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.
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.
Differentiate 5^x in respect to x
Given:
The term is [tex]5^x[/tex].
To find:
The differentiation of [tex]5^x[/tex] with respect to x.
Solution:
Formula used:
[tex]\dfrac{d}{dx}a^x=a^x\log(a)[/tex]
Let the given function is:
[tex]f(x)=5^x[/tex]
Here, a=5.
Differentiate the given function with respect to x.
[tex]f'(x)=5^x\log(5)[/tex]
Therefore, the derivative of [tex]5^x[/tex] with respect to x is [tex]5^x\log(5)[/tex].
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.
Pls help again thanks
Answer:
d.156.
x+24=180 ( being staright angle)
PLEASE HELP!!
WILL MARK BRAINLIEST!
What is the measure of arc AB?
Answer:
arc AB = 45°
Step-by-step explanation:
The central angle ABC is equal to the measure of the arc that subtends it, so
AB = ∠ ABC = 45°
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
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
A hot air balloon is cruising at an altitude of 120 meters above the ground when it begins its descent. The balloon descends at a rate of 4.5 meters per minute. Explain how you would set up an equation to model when the balloon will reach an altitude of 75 meters above the ground. Then solve the equation and check your solution.
Answer:
120 - 4.5t= 75
t = 10 minutes
Step-by-step explanation:
the equation :
120 - 4.5t= 75
the solution:
-4.5 t = 75-120
-4.5t = -45
t = -45/(-4.5) = 10 minutes
The equation to model the given situation is 120 - 4.5t= 75 and the solution to the equation is 10 minutes.
Given that, a hot air balloon is cruising at an altitude of 120 meters above the ground when it begins its descent.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The balloon will reach an altitude of 75 meters above the ground.
Now, 120-75 =45 meters
Let t be the time to descends 45 meters
So, 120 - 4.5t= 75
⇒ -4.5 t = 75-120
⇒ -4.5t = -45
⇒ t = -45/(-4.5)
⇒ t = 10 minutes
Hence, the equation to model the given situation is 120 - 4.5t= 75 and the solution to the equation is 10 minutes.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Find the remainder when x³ - ax² + 6x - a is divided by x - a
Answer:
Solution is on pic hope it helps youUsing 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 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
Which of the following are interior angles in the figure below?
Answer:
A
Step-by-step explanation:
The others are exterior
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))
pls 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°
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]
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-
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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
Help!!!
I will mark you
Answer:
832.6lbs
Step-by-step explanation:
In 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
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
Classify the following triangle. Check all that apply.
Answer:
This triangle is a right triangle
English
v
Which table represents a linear function?
2
y
х
y
22
y
22
y
1
0
0
0
0
ol
1
هدايا
2
1
1
1
1
1
3
이
4
2
3
2
0
2
ا م ا
3
8
3.
6
3
1
3
7
Answer:
2 y x
Step-by-step explanation:
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.
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
