Answer:
(4, 1)
Step-by-step explanation:
See attachment courtesy of Desmos.
Prachi was 555 kilometers east of her home when she began driving farther east at 707070 kilometers per hour. Let f(n)f(n)f, (, n, )be Prachi's distance from her home at the beginning of the n^\text{th}n th n, start superscript, start text, t, h, end text, end superscript hour of her drive. fff is a sequence. What kind of sequence is it
Answer:
The answer is "[tex]\bold{f(n) = 70n + 5}[/tex]"
Step-by-step explanation:
The complete question is defined in the attached file Please find it.
She started driving further east, 70 kilometers an hour, 5 km east of her home. Allow f(n) at the outset of its nth hour drive to just be Prachi's length from home.
F is a series of arithmetic.
Construct the series with an explicit formula.
[tex]\bold{f(n) = 70n + 5}[/tex]
Answer:
Arithmetic and it is f(n)=5+70(n-1)
Step-by-step explanation:
Khan Academy
Multiply the binomials:
(y+2)•(y+9)
Answer:
y² + 11y + 18
Step-by-step explanation:
y² + 9y + 2y + 18
y² + 11y + 18
What is the solution to -4|-2x+6|=24
Answer:
no solution
Step-by-step explanation:
-4|-2x+6|=24
Divide each side by -4
-4/ -4|-2x+6|=24/-4
|-2x+6|=-6
The absolute value must be greater than or equal to zero
There is no solution
Can you answer this math homework? Please!
Answer:
Height is equal = Y = 1.8 X + 3.1 = 2.3 X + 1.9
=> 2.3 X - 1.8 X = 3.1 - 1.9
=> 0.5 X = 1.2
=> x = 1.2/0.5 = 2.4
Time = 2.4 weeks
Step-by-step explanation:
Answer:
2.4
Step-by-step explanation:
plzzz helppp only a hour due today
Answer:
A or C
Is my best I got stuck A or C
Answer:
[tex]\text{C. about }72.05\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
This is a very fun problem that requires the use of multiple concepts to solve.
Concepts/formulas used:
The measure of an inscribed angle is half the measure of the arc it formsThere are 360 degrees in a circleThe sum of the interior angles of a triangle add up to 180 degreesLaw of Sines is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] All radii of a circle are exactly half all diameters of the circleThe area of a circle with radius [tex]r[/tex] is given by [tex]A=r^2\pi[/tex]The measure of an inscribed angle is equal to half the measure of the arc it forms. In circle Z, [tex]\angle XVY[/tex] is an inscribed angle that forms arc XY. Since XY is 40 degrees, angle XVY must be [tex]40\div 2=20^{\circ}[/tex].
Similarly, [tex]\angle VYX[/tex] is also an inscribed angle and forms arc XV. Notice how arc XY and arc XV form arc VY, which is half the circumference of the circle, since segment VY is a diameter of the circle. Since there are 360 degrees in a circle, arc VY must be 180 degrees. Therefore, we have:
[tex]\widehat{XY}+\widehat{XV}=180^{\circ},\\\widehat{XV}+40^{\circ}=180^{\circ},\\\widehat{XV}=140^{\circ}[/tex]
Now we can find the measure of angle VYX, using our knowledge that the measure of an inscribed angle is half the measure of the arc it forms.
[tex]m\angle VYX=\frac{140}{2}=70^{\circ}[/tex]
Now, we have two angles of triangle VXY. Since the sum of the interior angles of a triangle add up to 180 degrees, the third angle, [tex]\angle VXY[/tex], can be found:
[tex]\angle VXY+\angle VYX+\angle XVY=180^{\circ},\\\angle VXY+20^{\circ}+70^{\circ}=180^{\circ},\\\angle VXY+90^{\circ}=180^{\circ},\\\angle VXY=90^{\circ}[/tex]
We can now use this angle and the Law of Sines to find the length of segment VY. The Law of Sines works for any triangle and is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] (the ratio of any angle and its opposite side is maintained throughout all angles of the triangle).
Since angle VXY's opposite side is VY and angle VYX's opposite side is VX, we have the following proportion:
[tex]\frac{\sin 70^{\circ}}{9}=\frac{\sin 90^{\circ}}{VY}[/tex]
Recall that [tex]\sin 90^{\circ}=1[/tex]. Cross-multiply:
[tex]9\sin 90^{\circ}=VY\sin 70^{\circ},\\9=VY\sin 70^{\circ},\\VY=\frac{9}{\sin 70^{\circ}}[/tex]
This is the diameter of the circle. By definition, all radii are half the diameter. Therefore, the radius of the circle is [tex]\frac{9}{\sin 70^{\circ}}\cdot \frac{1}{2}=\frac{9}{2\sin 70^{\circ}}[/tex].
The area of a circle with radius [tex]r[/tex] is given by [tex]A=r^2\pi[/tex]. Substitute [tex]r=\frac{9}{2\sin 70^{\circ}}[/tex] to get the area of circle Z:
[tex]A=(\frac{9}{2\sin 70^{\circ}})^2\pi,\\A\approx (4.78879997614)^2\pi,\\A\approx 22.9326052115\pi,\\A\approx \boxed{72.05\:\mathrm{cm^2}}[/tex]
The graph shown models a linear relation. Use the graph to answer the following questions. The two known points are (0, -3) and (1, -1)
1. What is the value of the dependent variable if the value of the independent variable is 3?
2. Predict the value of the independent variable when the dependent variable is -5.
9514 1404 393
Answer:
3-1Step-by-step explanation:
1. The value can be read from the graph. At 3 units to the right of the vertical axis, the line is 3 units above the horizontal axis. The independent variable has a value of 3 at that point.
__
2. The dependent variable has a value of -5 at the next grid line just below the bottom of the graph shown. The value of the independent variable is -1 at that point.
Which of the expressions below is equivalent to
4x²
12x2 - 4
X
x²
3x²
3x
4
1
12x
1
12
A
B
D
Answer:
The choose (B)
[tex] \frac{4 {x}^{2} }{12 x^{2} - 4 } \\ \frac{4 {x}^{2} }{4(3 {x}^{2} - 1)} \\ \frac{ {x}^{2} }{3 {x}^{2} - 1} [/tex]
Please help ASAP!!!!
========================================================
Explanation:
The two points mentioned in bold are midpoints of segments AB and AC respectively.
To find the coordinates of a midpoint, you add up the x coordinates and divide by 2. Do the same with the y coordinates.
For example, points A and B are at (7,6) and (1,-2)
If we add up the x coordinates and divide by 2, then we get (7+1)/2 = 4. Do the same for the y coordinates to get (6+(-2))/2 = 2. So that's how (4,2) is the midpoint of segment AB. You'll use similar logic to find that (8,2) is the midpoint of segment AC.
A slight alternative is that once you find one midpoint is (4,2), you can draw a horizontal line until you reach (8,2). We're using the idea that the midsegment is parallel to BC which is also horizontal.
Please help! :)
X =
A)82
B)98
C)262
Answer:
A. 82
Step-by-step explanation:
180 - 98 = 82
What is the initial value of 34.2 x 3^x
Initial value is your y intercept, and to find that you just need to substitute 0 for x. Anything to the power of 0 is just 1. So you get 34.2(1), which means that your initial value is 34.2.
Colin drove 45 minutes to the airport. He arrived 90 minutes before his flight departed, and then he spent 70 minutes in the air. Once he landed, Colin spent 20 minutes gathering his luggage, and then he drove 35 minutes to his hotel. What must be true of any expression that represents the total time that Colin spent traveling from his house to the hotel?
10. Two planes are flying one directly behind the other. Both planes are at an alttude of 1.7 miles. The angle
of depression to the airport from the plane closer to the airport is 58. The angle of depression to the
airport from the plane farther from the airport is 37. What is the distance between the two planes to the
nearest tenth of a mile?
A 1.0
B 23 -
C 12
D Not here
Solve the inequality.
-14> x-32
A. x>18
B. x< 46
C. x<-46
D. x < 18
Answer:
Option D
Step-by-step explanation:
-14 > x - 32
Add 32 to both sides;
18 > x OR x < 18
Solve for x. X/5-x/6=1/3 x = 10 x = 1/90 x = 1/10
Answer:
x=10
Step-by-step explanation:
I hope this will help you
write a fraction of the probability of rolling a multiple two
Answer: 1/2
Step-by-step explanation:
there are 6 sides all together and 3 of those are multiples of two. this fraction is 3/6 but that can be simplified to 1/2
Answer:
1/2
Step-by-step explanation:
For this we will be assuming a die size of six. With that in mind, all even numbers are divisible by two. There are a total of three numbers on a six sided die, those being two, four, and six. We then put this number over the total possibilities, which would be six. It is good form to simplify, which we can. We take three out from our 3/6 to leave us with 1/2.
Alex and Jenna were selling cookies for girls scouts. Alex sold 6 boxes of thin mints for every 2 boxes of samoas that Jenna sold.How many boxes of samoas were sold
Answer:
D
Step-by-step explanation:
A. Alex sold 30 boxes of thin mints and Jenna sold 20 boxes of Samoas
B. Alex sold 144 boxes of thin mints and Jenna sold 22 boxes of samoas
C. Alex sold 132 boxes of thin mints and Jenna sold 44 boxes of samoas
D. Alex sold 150 of thin mints and Jenna sold 27 boxes of samoas
Solve the inequality and write the solution in interval notation:
x-6/x+5 <0
(-5, 6)
[-5, 6)
(-infinity,-5) U [6,infinity)
(-infinity,-5] U (6,infinity)
Answer:
A
Step-by-step explanation:
Firstly x cannot be -5 because the expression on th left would be undefined so it's only between choices a and c.
Create a number line with makes the expression on left 0 and undefined...so at 6 and -5 this happens.
-------(-5)--------(6)---------
Let's test the 3 intervals by choosing a value from that interval to see if all numbers from that interval will make the expression on left less than 0.
Number before -5 is -6:
(-6-6)/(-6+5)=-12/-1=12 >0 so this interval is not a part of our solution.
Number between -5 and 6 is 0:
(0-6)/(0+5)=-6/5<0 so this interval is a part of our solution
Number after 6 like 7:
(7-6)/(7+5)=1/12>0 so this interval is not a part of our solution.
The winner is everything between-5 and 6 so answer is A.
4/2−3⋅4+7 it has a power of 4 and base of 2 i think i dont really know if someone could help me out here
Answer:
4/2−3⋅4+7 = -3
not sure where the "power or base" are in this problem?
Step-by-step explanation:
The slope point equation of a line passing through the points (-3, -1) and (2, -6) is:
Answer:
y = -1x -4
Step-by-step explanation:
The point slope equation is y - y1 = m(x -x1).
You will have to plug in the points (-3, -1) and (2, -6).
y - (-1) = m (x - (-3))
To find "m", find y over x.
m = (y2 - y1) / ( x2 - x1)
m = (-6 + 1)/(2 + 3)
m = -5/5
m = -1
Then plug in "m"
y + 1 = -1(x + 3)
then distribute the "m" into the parenthesis and isolate y or subtract 1 from both sides.
y + 1 = -1x - 3
y = -1x -4
PLS HELP ME ITS EASY JUST WANT TO MAKE SURE IM RIGHT Calculate the answer to the correct number of significant figures: (1.705 + 0.5067) / (0.2 * 1.243) = ______.
8.897
8.8966
8.9
9
8.90
Answer:
8.90
Step-by-step explanation:
this and the other answers are the rounded ones
What is the value of y?
Answer:
C, 40 degrees
Step-by-step explanation:
All the angles of a triangle add to 180 degrees according to the Triangle Sum Theorem.
Since all angles sum to 180, we can set all the values to add to 180.
We have:
[tex]2y+y+10+50=180[/tex]
Combining like terms, we have:
[tex]3y+60=180[/tex]
Subtracting 60 from both sides gets us
[tex]3y=120[/tex]
Dividing by 3 from both sides equals
[tex]y=40[/tex]
Answer:
I think the value of y is 40
Step-by-step explanation:
Here, 2y+ y+ 10+50=180°( sum of all angles of triangle)or, 3y+ 60=180or, 3y=180-60or, 3y=120or, y= 120÷3:.y= 40Find the values of the variables and please give the reasons
180 ÷3 = 60 ° (angles on a straight line equals to 180 ° )
a+b+60 =180°
a+ b= 180 ° - 60° = 120°
(a+b) are 2 variables
so 120 ÷2 =60 °
therefore a and b =60 °
c +b+ 60° = 180° ( co - interior angles are supplementary angles )
c+60° +60° =180°
c +120° =180°
c =180°-120°
c=60 °
d=60° (alternate angles are equal )
or
c+b+d=180°
60° +60° + d = 180°
d=180°-120°
d=60°
(⅔)-⁴ (two over three to the power minus 4)
I need answer asap pleaseeeee
Answer:
81/16
Step-by-step explanation:
(⅔)-⁴
81/16
= 5.0625
please help with these two questions!!
6√5 + 3√6 = 6√5 + 3√6 [cannot be simplified]
; roots do not contain any perfect squares, and the roots are not similar.
6√5(3√6) = 18√30 [can be simplified]
; although roots do not contain any perfect squares, the product rule can be applied to create a singular expression.
HELP?p?P?p?p?p?P?P?p?p?p?p?P?p?p?p?p?p?p?pp?p?p?P
Answer:
Yes, its a rational number.
Step-by-step explanation:
Rational numbers can be whole numbers, fractions, and decimals, and in this case it is a decimal.
Hope this helped!
Answer: yes
Step-by-step explanation:
yes 1.86 is a rational number
Solve each of the following:
a) x² + 4x – 77 = 0
b) x(x + 4) = -2(3x + 8)
Please show your work
Answer:
a.) x=7 or x=-11
b.) x=−2 or x=−8
Step-by-step explanation:
a) x² + 4x – 77 = 0
Step 1: Factor left side of equation.
(x−7)(x+11)=0
Step 2: Set factors equal to 0.
x−7=0 or x+11=0
x=7 or x=−11
b.) x(x + 4) = -2(3x + 8)
Step 1: Simplify both sides of the equation.
x^2+4x=−6x−16
Step 2: Subtract -6x-16 from both sides.
x^2+4x−(−6x−16)=−6x−16−(−6x−16)
x^2+10x+16=0
Step 3: Factor left side of equation.
(x+2)(x+8)=0
Step 4: Set factors equal to 0.
x+2=0 or x+8=0
x=−2 or x=−8
Answer:
a) {-11, 7}.
b) {-8, -2}
Step-by-step explanation:
a) x^2 + 4x - 77 = 0
To factor this we need 2 numbers whose product is -77 and sum is + 4.
They are + 11 and - 7, so:
( x + 11)(x - 7) = 0
x + 11 = 0 or x - 7 = 0
x = -11, 7.
b) x(x + 4) = -2(3x + 8)
x^2 + 4x = -6x - 16
x^2 + 4x + 6x + 16 = 0
x^2 + 10x + 16 = 0
(x + 2)(x + 8) = 0
x = -8, -2.
Find the value of n such that the expression is a perfect square trinomial.
K2 + 14k+n
Answer:
n = 49
Step-by-step explanation:
k^2 + 14k +n
Take the coefficient of k
14
Divide by 2
14/2 = 7
Square it
7^2 = 49
n = 49
B) Construct a Rhombus MARS where MR = 6.8 cm & AS = 7 cm. Write the measurement of each side of Rhombus.
Answer:
Length = 4.88
Step-by-step explanation:
Given
[tex]MR = 6.8cm[/tex]
[tex]AS = 7cm[/tex]
First, we calculate the lengths of each side of the rhombus.
Diagonals of a rhombus are bisected at right-angled.
So, the lengths (x,y) of the right-angled triangle formed are:
[tex]x = \frac{1}{2}MR = \frac{1}{2} * 6.8 = 3.4[/tex]
[tex]y = \frac{1}{2}AS = \frac{1}{2} * 7 = 3.5[/tex]
The length of the sides (z) is calculated using:
[tex]z^2 = x^2 + y^2[/tex]
[tex]z^2 = 3.4^2 + 3.5^2[/tex]
[tex]z^2 = 11.56 + 12.25[/tex]
[tex]z^2 = 23.81[/tex]
Take square roots
[tex]z = \sqrt{23.81[/tex]
[tex]z = 4.88[/tex] --- approximated
Determine the constant of variation for the direct variation given. (0, 0), (3, 12), (9, 36)
12
4
3
Answer:
4
Step-by-step explanation:
y = kx
Use point (3, 12).
12 = k * 3
k = 12/3 = 4
y = 4x
Answer: 4
Divide y by x:
12/3 = 4
36 / 9 = 4
The constant of variation is 4
Given f(x)=5x-4f(x)=5x−4, solve for xx when f(x)=1f(x)=1.
Answer:
x=1
Step-by-step explanation:
f(x)=5x−4
f(x) = 1
1 = 5x - 4
Add 4
1+4 = 5x-4+4
5 = 5x
Divide by 5
5/5 = 5x/5
1 = x