Answer:
1. you start with $ 3 and save $1 each month
2. your total savings is 3 times the number of month multiplied by itself
3. you save $3 the first month and then each month the amount triples
Step-by-step explanation:
1.
as y axis represents savings while x axis represents months
the statement "you start with $ 3 and save $1 each month"
is best described by the graph of straight line having slope of 1 and intercept of 3.
2. your total savings is 3 times the number of month multiplied by itself
= 3(x)(x)
= 3x^2
3. as y axis represents savings while x axis represents months
the statement "you save $3 the first month and then each month the amount triples" is best described by the exponential graph starting to rise from point (1,3) which means $3 save at 1 month.
!
Can I get help with 18 and 22 please
Answer:
18. 36.36%
22. 53.71
Step-by-step explanation:
What is the area of the obtuse triangle below
Solution:
Given :
Base of triangle = 19 Height of triangle = 11So, We have to find the area of Triangle .
Area of triangle = 1/2*b×h, Where represents
B represent Base H represent HeightStep : Substitute those value in Formula;
Area of triangle = 1/2 × b × h
Area of triangle = 1/2 × 19 × 11
Area of triangle = 104.5 units Square
Therefore, Option B is correct Answer.
Area of triangle is 104.5 units Square.
What is area of a triangle?One of the most fundamental geometric shapes is the triangle. The simplest and most widely used formula is area = 0.5 * b * h, where b is the triangle's base length and h is the triangle's height or altitude. Almost everyone knows this formula from school.
Given :
Base of triangle = 19
Height of triangle = 11
So, We have to find the area of Triangle .
Area of triangle = 1/2*b×h, Where represents
B represent Base
H represent Height
Step : Substitute those value in Formula;
Area of triangle = 1/2 × b × h
Area of triangle = 1/2 × 19 × 11
Area of triangle = 104.5 units Square
To know more about area of triangles refer to :
https://brainly.com/question/17335144
#SPJ2
please answer will give points
Answer:
step 2
Step-by-step explanation:
Given step 1
324π = π × 12² h
Then second step should read
324π = π × 144h ← 144 not 24 is the error
I really really need help!!!!!!
ANSWER
[tex]y = 5 \sin( \frac{6}{5} x - \pi)-4 [/tex]
EXPLANATION
The given function is
[tex]y = 5 \cos( \frac{3}{5} x - \pi) + 4[/tex]
The period of this function can be determined using the formula:
[tex]T= \frac{2\pi}{ |b| } [/tex]
.
The period is
[tex]T= \frac{2\pi}{ \frac{3}{5} } = \frac{10\pi}{3} [/tex]
Half the period of this function is:
[tex] \frac{ \frac{10\pi}{3} }{2} = \frac{5\pi}{3} [/tex]
The function which has this period is
[tex]y = 5 \sin( \frac{6}{5} x - \pi) -4[/tex]
The first choice is correct.
Can someone pls help me???
Answer: its the one under the first one i think good luck adriana lol
Step-by-step explanation:
what is the period of the function y = 2 sinx
Answer:
The period is 360° ( in radians, the period is 2π)
Step-by-step explanation:
For a sine/cosine (sinusoidal) function in the form
y = ASin(Bx-C) + D, we can say
A is the amplitude
360/B is the period
C is the phase shift
D is the vertical translation
The function given is y = 2Sinx
To find the period, we need 360/B. Since "B" is just "1", the period is
360/1 = 360
Answer:
The period of the function [tex]y = 2sinx[/tex] is [tex]2\pi[/tex]
Step-by-step explanation:
The sinosuidal functions have the following form
[tex]y = Asin (bx) +k[/tex]
Where A is the amplitude of the function
k is the vertical displacement
[tex]\frac{2\pi}{b}[/tex] is the period.
In this case we have the function
[tex]y = 2sinx[/tex]
Therefore the amplitude A = 2
The vertical displacement is k = 0
The period is [tex]\frac{2\pi}{1} = 2\pi[/tex] because b=1
Therefore the function completes a cycle every [tex]2\pi[/tex]
A book costs $12.50 plus sales tax. After tax it costs $13.25. What is the sales tax rate?
Answer:
The rate of sales tax is 6%.
Step-by-step explanation:
First you must subtract 12.50 from 13.25
This brings you to .75
Then, divide .75/12.50 to get 0.06 which is equivalent to 6 percent.
WILL GIVE BRAINEST IF CORRECT!!!!!
The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 8 inches?
Answer:
6 inches
Step-by-step explanation:
area of triangle = 1/2 b* h
24 = 1/2 * 8* h
4h = 24
divide both sides by 4
h = 6 inches
Area is 1/2 x base x height.
24 = 1/2 x 8 x H
Multiply both sides by 2:
48 = 8 x Height
Divide both sides by 8:
Height = 48 / 8
Height = 6 inches.
Given: KLIJ is inscribed in circle k(O)
m∠K = (9x+1)°,
m (arc) LI = (10x−1)°
m (arc) IJ = 59°,
m (arc) KJ =97°
Find: All angles of KLIJ
Check the picture below.
let's notice that the angle at K is an inscribed angle with an intercepted arc
[tex]\bf \stackrel{\textit{using the inscribed angle theorem}}{K=\cfrac{\widehat{LI}+\widehat{IJ}}{2}}\implies 9x+1=\cfrac{(10x-1)+59}{2} \\\\\\ 9x+1=\cfrac{10x+58}{2}\implies 18x+2=10x+58\implies 8x+2=58 \\\\\\ 8x=56\implies x=\cfrac{56}{8}\implies x=7 \\\\[-0.35em] ~\dotfill\\\\ K=9x+1\implies K=9(7)+1\implies \boxed{K=64}[/tex]
now, let's notice something again, the angle at L is also an inscribed angle, intercepting and arc of 97 + 59 = 156, so then, by the inscribed angle theorem,
∡L is half that, or 78°.
now, let's take a look at the picture down below, to the inscribed quadrilateral conjecture, since ∡J and ∡I are both supplementary angles, then
∡I = 180 - 64 = 116°.
∡J = 180 - 78 = 102°.
The measure of all the angle of KLIJ which is inscribed in circle k(O) are, 64, 78, 116, 102 degrees.
What is inscribed angle theorem?Inscribed angle theorem is the theorem, which state that the angle inscribed in a circle will be half of the angle which delimits the same arc on the circle.
The quadrilateral KLIJ is inscribed in circle k(O). In this the measure of the angle are given as,
[tex]m\angle K = (9x+1)^o[/tex]
m (arc) LI = (10x−1)°
m (arc) IJ = 59°,
m (arc) KJ =97°
All angles of the quadrilateral KLIJ has to be found out. By the inscribed angle theorem,
[tex]K=\dfrac{LI+IJ}{2}\\9x+1=\dfrac {10x-1+59}{2}\\18x+2=10x+58\\8x=56\\x=7[/tex]
Therefore, the value of the angle k is,
[tex]m\angle K = (9(7)+1)^o\\m\angle K = 64^o[/tex]
Similarly, the measure of the angle L is,
[tex]m\angle L=\dfrac{KJ+IJ}{2}\\m\angle L=\dfrac {97+59}{2}\\m\angle L=\dfrac{156}{2}\\m\angle L=78^o[/tex]
Now the angles I and J are the supplementary angles of the angle K and angle L respectively. Therefore,
[tex]m\angle I=180-m\angle K=180-64=116^o\\ m\angle J=180-m\angle L=180-78=102^o[/tex]
Hence, the measure of all the angle of KLIJ which is inscribed in circle k(O) are, 64, 78, 116, 102 degrees.
Learn more about the inscribed angle theorem here;
https://brainly.com/question/3538263
Please help me I don’t understand!!
Answer:
A.) 30
Step-by-step explanation:
The entire figure consists of two angles supplementary to each other, which means that ∠YWZ + ∠ZWX = 180°. Since ∠ZWX is 20°, we know that ∠YWZ is 160°.
So now we have an equation to solve:
5x + 10 = 160
- 10 - 10
5x = 150
÷ 5 ÷ 5
x = 30
An Olympic swimmer competes in the same events during each long course swim season. A swimmer currently competing on the United States Women’s Olympic Swim Team, will swim her best events each year with the hope of continuous improvement. The following table is a record of the swimmer’s best times for the 100 meter freestyle event, measured in long course meters.
Long Course
Season Recorded
Best Time
2005 2:33.42
2006 2:24.81
2007 2:10.93
2008 2:03.45
2009 1:58.67
2010 1:59.17
2011 1:55.06
2012 1:55.82
2013 1:54.81
2014 2:00.03
Create a scatter plot representing the data displayed in the table.
Use the scatter plot to determine whether there is positive, negative or no correlation between the data values.
Write a conclusion statement regarding the data and the rate of change present in the line of best fit. Do not actually calculate the slope or write the equation for the line of best fit.
I don't know if you still need this but here you go
Answer: Equation for the line of best fit is given by
f(x)=-4.28402x+0.0875
Step-by-step explanation:
Long Course Season Recorded Best time
2005 2:33.42
2006 2:24.81
2007 2:10.93
2008 2:03.45
2009 1:58.67
2010 1:59.17
2011 1:55.06
2012 1:55.82
2013 1:54.81
2014 2:00.03
Since we can see from the scatter plot that it has negative correlation.
Equation for the line of best fit is given by
f(x)=-4.28402x+0.0875
Which epression is equivalent to (x^4/3 x^2/3)^1/3
Answer:
The correct answer is X²/³
Step-by-step explanation:
Points to remember
Identity
Xᵃ/Xᵇ = X⁽ ᵃ⁻ ᵇ ⁾
Xᵃ * Xᵇ = X⁽ᵃ ⁺ ᵇ⁾
(Xᵃ)ᵇ = Xᵃᵇ
To find the equivalent expression
We have, (X⁴/³ X²/³)¹/³
Using identities we can write,
(X⁴/³ X²/³)¹/³ = (X⁴/³ * X²/³)¹/³
= (X⁴/³ ⁺ ²/³)¹/³
= ( X⁽⁴⁺²⁾/³)¹/³
= (X⁶/³)¹/³
= (X²)¹/³
= X²/³
Therefore the correct answer is X²/³
please helppppppppppp due tomarrow very easyyyyy
Answer: 6
Step-by-step explanation: -8 x -8 = 64
64 - -58 = 6
Answer:
The answer is 6.
Step-by-step explanation:
Since negative × negative = positive, therefore -8(-8)=64 and 64-58=6.
Solve 5x + 8 < 3(x + 2)
Answer:
x < - 1
Step-by-step explanation:
Given
5x + 8 < 3(x + 2) ← distribute
5x + 8 < 3x + 6 ( subtract 3x from both sides )
2x + 8 < 6 ( subtract 8 from both sides )
2x < - 2 ( divide both sides by 2 )
x < - 1
The inequality 5x + 8 < 3(x + 2) simplifies to x < -1.
To solve the inequality 5x + 8 < 3(x + 2), we must simplify and isolate the variable x. We start by distributing the 3 on the right side:
5x + 8 < 3x + 6
Next, we'll subtract 3x from both sides to get:
2x + 8 < 6
Now subtract 8 from both sides to isolate the term with x:
2x < -2
Finally, we divide both sides by 2:
x < -1
The solution to the inequality is all x-values that are less than -1.
PLEASE HELP ASAP ON THIS PROBLEM
Answer:
The ball was dropped from 150 feet.
It will take the ball 3.06 seconds to reach the ground.
Step-by-step explanation:
A story is 10 feet.
You want to find the number of seconds for the ball to reach the ground, which is a height of 0. So you can put 0 in for h(t), and then solve that. If you need more help than that, let me know.
If the following figure is rotated 90° counterclockwise about the origin, what is the new location?
Answer: Last option.
Step-by-step explanation:
We need to apply the Rule for 90° counterclockwise rotation about the origin. Given a point [tex]P(x,y)[/tex]:
[tex]P(x,y)[/tex] → [tex]P'(-y,x)[/tex]
We can observe in the figure that the coordinates of the points E, F, G and H are:
[tex]E (2,6)[/tex]
[tex]F(7,-4)[/tex]
[tex]G(-2,-7)[/tex]
[tex]H (-5,1)[/tex]
Then, applying the rule, we get the coordinates of the new location of the figure EFGH:
[tex]E (2,6)[/tex] → [tex]E'(- 6,2)[/tex]
[tex]F(7,-4)[/tex] → [tex]F'(4,7)[/tex]
[tex]G(-2,-7)[/tex] → [tex]G'(7,-2)[/tex]
[tex]H (-5,1)[/tex] → [tex]H'(-1,-5)[/tex]
Find all polar coordinates of point P where P = ordered pair 4 comma negative pi divided by 3.
Answer:
[tex](4,-\frac{\pi}{3}+2n\pi)[/tex] And [tex](-4,-\frac{\pi}{3}+(2n+1)\pi).[/tex]
Hope this helps you out!
Answer:
All the polar coordinates of point P are [tex]P(4,-\frac{\pi}{3})=(4,2n\pi-\frac{\pi}{3})[/tex] and [tex]P(4,-\frac{\pi}{3})=(-4,(2n+1)\pi-\frac{\pi}{3})[/tex], where n is any integer and θ is in radian.
Step-by-step explanation:
It a polar coordinate is given as P(r,θ), then all the polar coordinates of point P are defined as
[tex]P(r,\theta)=(r,2n\pi+\theta)[/tex]
[tex]P(r,\theta)=(-r,(2n+1)\pi+\theta)[/tex]
Where, n is any integer and θ is in radian.
The given point is
[tex]P(4,-\frac{\pi}{3})[/tex]
So, all the polar coordinates of point P are defined as
[tex]P(4,-\frac{\pi}{3})=(4,2n\pi-\frac{\pi}{3})[/tex]
[tex]P(4,-\frac{\pi}{3})=(-4,(2n+1)\pi-\frac{\pi}{3})[/tex]
Therefore all the polar coordinates of point P are [tex]P(4,-\frac{\pi}{3})=(4,2n\pi-\frac{\pi}{3})[/tex] and [tex]P(4,-\frac{\pi}{3})=(-4,(2n+1)\pi-\frac{\pi}{3})[/tex], where n is any integer and θ is in radian.
What is the area of this face?
4
in.
1
Answer:
4
Step-by-step explanation:
The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1 what is the value of x?
Answer:
The value of x is -3
Step-by-step explanation:
* Lets explain how to solve the problem
- The slope of a line that passes through points (x1 , y1) and (x2 , y2) is
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
* Lets solve the problem
∵ The points (4 , 1) and (x , -6) lie on the same line
∵ The slope of the line is 1
- Let the point (4 , 1) is (x1 , y1) and the point (x , -6) ix (x2 , y2)
∵ x1 = 4 , x2 = x and y1 = 1 , y2 = -6
∴ [tex]m=\frac{x-4}{-6-1}[/tex]
∴ [tex]m=\frac{x-4}{-7}[/tex]
∵ The slope of the line is m = 1
∴ [tex]\frac{x-4}{-7}=1[/tex]
- By using cross multiplication
∴ x - 4 = -7 ⇒ add 4 to both sides
∴ x = -3
* The value of x is -3
the value of x for the point on the line is -3.
The student is asking how to find the value of x for a point on a line with a given slope. Since the slope of the line is 1, we can use the slope formula, which is (y2 - y1) / (x2 - x1) = slope, to find the value of x. Here, we have two points, (4, 1) and (x, -6), and a slope of 1.
Using the formula, we get (-6 - 1) / (x - 4) = 1. Simplifying, we get -7 / (x - 4) = 1. To find the value of x, we solve the equation -7 = x - 4, which gives us x = -3. So, the value of x for the point on the line is -3.
Once you practice evaluating logarithmic expressions, you will be prepared to work with ........ functions.
Exponential
Linear
Logarithmic
The answer is logarithmic
Answer:
Logarithmic .
Step-by-step explanation:
When we evaluate the logarithmic expression then we prepared to work
with logarithmic function
If , I want to solve the logarithmic expression then first we should know about the logarithmic theorem rules .
If ,I don't know about the logarithmic rules then we can't evaluate the logarithmic expression.
So , first we should do practice with logarithmic function and we should know how to use of logarithmic rules during evaluating the logarithmic expression .
Logarithmic rules :
[tex]Log \frac{m}{n}= log m - log n[/tex]
[tex]log m\times n= log m+ log n[/tex]
[tex]log a^b= bloga[/tex]
For example ; we have [tex]log\frac{3}{4}[/tex]
Therefore, by using logarithmic rule then we get
[tex]log\frac{3}{4} = log 3- log 4[/tex]
Therefore, if i want to evaluate the logarithmic expresssion then i will be prepared to work with logarithmic function .
PLEASE HELP 13 POINTS
The formula for finding the circumference of the circle is 2 pi r or pi d. R stand for radius and D stand for diameter. The problem gave you the length of the diameter so can either put it in form of pi as in 30pi or multiply it by pi (3.14) which will give you the result of 94.2
Answer:
- 30pi
- 94.2
Given f(x) = x3 – 2x2 – x + 2,
the roots of f(x)
f(x) = x³ – 2x² – x + 2
0 = x3 – 2x2 – x + 2
(x-2)(x-1)(x+1)=0
x1=-1
x2=1
x3=2
For this case we must follow the steps below:
We factor the polynomial, starting by factoring the maximum common denominator of each group:
[tex]x ^ 2 (x-2) - (x-2)[/tex]
We factor the maximum common denominator[tex](x-2):[/tex]
[tex](x-2) (x ^ 2-1)[/tex]
Now, by definition of perfect squares we have:
[tex]a ^ 2-b ^ 2 = (a + b) (a-b)[/tex]
Where:
[tex]a = x\\b = 1[/tex]
Now, we can rewrite the polynomial as:
[tex](x-2) (x + 1) (x-1)[/tex]
To find the roots we equate to 0:
[tex](x-2) (x + 1) (x-1) = 0[/tex]
So, the roots are:
[tex]x_ {1} = 2\\x_ {2} = - 1\\x_ {3} = 1[/tex]
Answer:
[tex]x_ {1} = 2\\x_ {2} = - 1\\x_ {3} = 1[/tex]
HELP PLEASE A cylinder and its dimensions are shown. Which equation can be used to find V, the volume of the cylinder in cubic centimeters?
A)
V = π(4.5h)2
B)
V = π(9h)2
C)
V = π(4.5)2h
D)
V = π(9)2h
Answer:
WRONG THE ANSWER IS ACUALLY C
Step-by-step explanation:
I know this because i decided to take th4e test use his answer and it was wrong telling me the right answer it's (c).
The equation that can be used to find the volume of the cylinder is V = π(4.5)²h (option C).
Explanation:The equation that can be used to find the volume of the cylinder is V = π(4.5)²h (option C). To find the volume of a cylinder, you need to use the formula V = πr²h, where r is the radius of the base and h is the height of the cylinder. In this case, the radius is 4.5 cm and the height is not given, so it is represented as h. By substituting the values into the formula, you get V = π(4.5)²h.
A pair of pants costs twice as much as a shirt. The total cost of 1 pair of pants and 1 shirt is $18. If s represents the cost of 1 shirt, which equation could you use to find the cost of 1 shirt?
The total cost of 1 pair of pants and 1 shirt is $18 . If s represents the cost of 1 shirt, which equation could you use to find .
For this case we propose a system of equations:
p: Variable representing the cost of a pair of pants
s: Variable representing the cost of a shirt
A pair of pants costs twice as much as a shirt, means:
[tex]p = 2s[/tex]
The total cost of 1 pair of pants and 1 shirt is $ 18:
[tex]p + s = 18[/tex]
We substitute the first equation in the second:
[tex]2s + s = 18\\3s = 18\\s = \frac {18} {3}\\s = 6[/tex]
Answer:
The following equation can be used:
[tex]2s + s = 18[/tex]
Round .796 to the nearest hundredth.
Answer:
The answer is .800
To round .796 to the nearest hundredth, we observe the third decimal place (6) and round up the second decimal place from 9 to 10, which effectively turns .796 into .80.
Explanation:The question asks us to round .796 to the nearest hundredth. To do this, we look at the third decimal place, which is 6. Since 6 is greater than 5, we round up the second decimal place from 9 to 10. However, since the second place cannot literally take the value of 10, it effectively rolls over and adds 1 to the first decimal place, changing .796 to .80. Therefore, the answer is .80 when rounded to the nearest hundredth.
What is the approximate circumference of a circle with a radius of 60 inches use pi 3.14
Answer: 376.99 is the answer
ANSWER
The approximate circumference is 377 inches
EXPLANATION
The circumference of a circle is calculated using the formula
[tex]C=2 \pi \: r[/tex]
Where r=60 inches is the radius of the circle.
We substitute π=3.4 and the radius into the formula to obtain:
[tex]C=2 (3.14)(60) \: inch[/tex]
[tex]C = 376.8inches[/tex]
The approximate circumference of the circle is 377 inches.
Solve the following equation. Then place the correct number in the box provided.
4(3 - 2x) = 15
Answer:
Step-by-step explanation:
4(3-2x)=15
Distribute 4:
12-8x= 15
Subtract 12:
-8x= 3
Divide
X= -3/8 or -0.375
ANSWER
[tex]x = - \frac{3}{8} [/tex]
EXPLANATION
The given equation is:
4(3 - 2x) = 15
Expand the parenthesis to obtain:
12-8x=15
Group similar terms to get;
-8x=15-12
Combine similar terms to get:
-8x=3
Divide both sides by -8
[tex]x = - \frac{3}{8} [/tex]
Find the volume in ft cubed
Answer:
7x6x2= 84 ft cubed
Step-by-step explanation:
multiply length by width by height
If the outliers are not included, what is the mean of the data set?
76, 79, 80, 82, 50, 78, 83, 79, 81, 82
A. 77
B. 78
C. 79
D. 80
Answer:
78
Step-by-step explanation:
78 is the answer because if you count inwards then you get 78
Answer:
D
Step-by-step explanation:
add them all except 50 divide by 9 because only used 9.
Lily is going to give away all the pieces of candy in a bag. She can give an equal number of pieces of candy to 5, 3, or 2 people. Which number of pieces of candy could be in Lily’s bag?
A. 12
B. 20
C. 30
D. 45
Answer:C 30
Step-by-step explanation: They all divide evenly when divided by 30.