[tex]
s=\frac{\Delta{y}}{\Delta{x}}=\frac{9-7}{4+2}=\boxed{\frac{2}{6}=\frac{1}{3}}
[/tex]
Hope this helps.
r3t40
How do I solve (x-8)(2x+5=0
Answer:
x = 8 , x = - 2.5
Step-by-step explanation:
( x - 8 ) ( 2 x + 5 ) = 0
1. x - 8 = 0
2. 2 x + 5 = 0
x - 8 = 0
( + 8 on both sides )
x = 8
2. 2 x + 5 = 0
( - 5 from both sides )
2 x = - 5
( ÷ 5 on both sides )
x = - 2.5
Find the diameter and radius when given the circumference.
C = 62.8
Well, just looking at this problem we know 3 formulas that will help us. Firstly we have C (The Circumference) is Equal to 2π Times the Radius, r.
In Equation form that looks something like this:
C=2πr
We also know that the radius is half of the diameter, r=D/2 or D=2r
So, if C=62.8, then 62.8=2πr must also be true.
By doing some quick re arranging we get to the equation r=62.8/2π
This equation gives us 9.99, Which is essentially 10.
Now that we know that r=10, we can find that diameter, D=2r, is Equal to 20.
Therefore, your answers are
Radius = 10
Diameter = 20
Circumference = 62.8 (Given)
If there are any questions about anything I did please feel free to ask more questions and I will respond ASAP!
You are try to dunk a basketball. You need to jump 2.5 feet in the air to dunk the ball. The height that your feet need to be of the ground is given by the function h(t)= _ 16t2+12r. What is the maximum height your feet will be above the ground? Will you be able to dunk the ball?
Answer:
1)he maximum height your feet will be above the ground is 2.25
2)Will you be able to dunk the ball= No
Step-by-step explanation:
Given:
In order to dunk the basket ball, height needed to jump= 2.5 feet
The height that your feet need to be of the ground is given by the function h(t)= -16t^2+12t
1) the maximum height your feet will be above the ground=?
Given function of height,h(x)=-16t^2+12t
finding maximun of the above function
The maximum of any function written in form of ax^2+bx+c is given by
max= c - (b2 / 4a)
Putting values c=0, b=12 and a=16, we get
max= 0-(12^2/4(-16))
= 144/64
=2.25 feet
he maximum height your feet will be above the ground is 2.25 feet.
2) Will you be able to dunk the ball=?
As the height needed to jump in the air to dunk the ball is 2.5 feet which is greater than the maximum height the feet will be above the ground i.e.
2.5>2.25
hence No you will not be able to dunk the ball !
The maximum height your feet will be above the ground is 2.25 feet. No, you will not be able to dunk the ball.
Explanation:To find the maximum height your feet will be above the ground, we need to determine the vertex of the quadratic function h(t) = -16t^2 + 12t.
The vertex of a quadratic function of the form h(t) = at^2 + bt + c is given by the formula t = -b/2a. In this case, a = -16 and b = 12, so the vertex is t = -12/(2*(-16)) = 0.375 seconds.
Substituting this value back into the function h(t), we get h(0.375) = -16(0.375)^2 + 12(0.375) = 2.25 feet. Therefore, the maximum height your feet will be above the ground is 2.25 feet.
Since you need to jump 2.5 feet in the air to dunk the ball and the maximum height your feet will reach is only 2.25 feet, you will not be able to dunk the ball.
Learn more about Quadratic functions here:https://brainly.com/question/35505962
#SPJ3
PLEASE HELP!!!
1. What is the exponential form of 3*3*3*3*x*x*x*z*z?
2. What is the expanded form of 73a2b4?
1. 3^4 x^3 z^2
2. 73 aabbbb
i have trouble so cn anybody help me?
Greg walked 610 of a mile and hopped 34100 of a mile.
How far did Greg travel?
Answer:
The correct answer is for sure 100 % =33,490
Step-by-step explanation:
34,100-610= 33,490
610+33,490=34,100
PLLZZZZ MARK ME BRAINLIST PLZZZZ!!!
A chef wanted to know if people liked the food in his new restaurant. For that purpose, he surveyed all the food critics who went to the restaurant during the first month it was open.
A. Is this sample likely to be biased?
B. Explain
Answer and explanation:
A) Yes, the sample gathered by surveying food critics only is most likely to be biased.
B) If the chef is going to survey only the food critics and not include the regular customers who visit the restaurant then this will result in a biased survey.
The reason being that there will exist a systematic error since the surveyed people will not cover the whole population as it will only be limited to the food critics.
Several thousand teens were asked one question, "What do you think are the chances you will be married in the next ten years?" The two-way table shows the responses separated by gender.
The percent of females among the respondents was
A) 2625
B) 4877
C) about 46%
D) about 54%
Hello There! Your answer is D) about 54%.
To find your answer, start by adding together all of the totals for each gender.
Female: 119 + 150 + 447 + 735 + 1174 = 2625
Male: 103 + 171 + 512 + 710 + 756 = 2252
Total: 2625 + 2252 = 4877
The question is asking what percentage of the respondents was female. So, we are finding what precent of 4877 is equal to 2625. To do this, divide 2625 by 4877 and multiply what you get by 100.
2625 divided by 4877 = 0.53824072175 x 100 = 53.824072175%.
Out of the answer choices provided, D) about 54% is correct since 53.824072175% is very close to 54%.
I hope this helps, have a great day!
Answer:
D
Step-by-step explanation:
In total, there were 4877 respondents, among which 2625 of them were female. The percent of female respondents, therefore, would be
2625
4877
x 100 = 53.8% ~ 54%
Quiana took out a loan to pay for a new car. Initially, she owed the lender $15,234.68. She has repaid $247.43 of the loan each month for the past 5 months. What is the net change to the loan from Quiana’s perspective over the past 5 months?
Complete the steps below to help Quiana calculate the loan amount that she’s repaid to the lender.
Part A
Write a rational number to express the initial loan amount as it relates to Quiana’s bank account.
Answer:
$13,997.53
Step-by-step explanation:
The simplest, minimally acceptable answer would stem from multiplying by 5 the $247.43 monthly payment and subtracting the result from the amount initially owed:
$15,234.68
-$ 1,237.15
----------------
$13,997.53
To calculate the net change to the loan from Quiana's perspective over the past 5 months, subtract the total amount she has repaid from the initial loan amount. In this case, the net change is $13,997.53.
Explanation:The amount owed to the lender = $15,234.68
Amount repaid = $247.43
Time = 5 months
To calculate the net change to the loan from Quiana's perspective over the past 5 months, we need to subtract the total amount she has repaid from the initial loan amount.
Since she repaid $247.43 each month for 5 months, the total amount repaid is $247.43 x 5 = $1237.15.
To find the net change to the loan, we subtract the total amount repaid from the initial loan amount:
= $15,234.68 - $1237.15
= $13,997.53.
PLEASE HELP RIGHT AWAY
Answer:
Approximately 53
Step-by-step explanation:
This is a geometric progression, because each term is found by multiplying the previous one by a constant factor.
In our case, the first term is know (a1 = 3), and the growth factor is also known (q = 1.333333).
What we are tasked to do is to find the 11th (n=11) term of the series, since it asks for AFTER the 10th roll.. That's easy with the base formula:
[tex]a_{n} = a_{1} q^{n-1}[/tex]
Let's place the values we have in the equation and solve it:
[tex]a_{10} = 3 * (1.333333)^{11-1} = 3 * (17.758) = 53.3[/tex]
So, after the 10th roll, you should need 53 dice, approximately.
simplify completely sqrt of 20Y^8
Answer:
Final answer is [tex]2y^4 \sqrt{5}[/tex].
Step-by-step explanation:
Given expression is [tex]\sqrt{20y^8}[/tex].
Now we need to smplify the given expression [tex]\sqrt{20y^8}[/tex].
So begin with factoring 20 into two parts so that one part is perfect square number.
[tex]\sqrt{20y^8}[/tex]
[tex]=\sqrt{4 \times 5y^8}[/tex]
[tex]=\sqrt{4 y^8} \times \sqrt{5}[/tex]
[tex]=2y^4 \times \sqrt{5}[/tex]
Hence final answer is [tex]2y^4 \sqrt{5}[/tex].
If G(x)= 1/x were shifted 4 units up, what would the new equation be ?
Answer:
G(x) + 4 = 1/x + 4Step-by-step explanation:
f(x) + n - move the graph n units up
f(x) - n - move the graph n units down
f(x + n) - move the graph n units to the left
f(x - n) - move the graph n units to the right
--------------------------------------------------------------------------
G(x) = 1/x shifted 4 units up → G(x) + 4 = 1/x + 4
Answer: G(x)= 1/(x+4) +4
Step-by-step explanation:
COLOUT OLU
Instructions: Type the correct answer in each box. Use numerals instead of words.
Simplify the following polynomial expression.
(-9x² + 2x + 13) - (-7x2 + 3x + 6).
The simplified form of the given polynomial equation is:
[tex]-2x^2-x+7[/tex]
Step-by-step explanation:We are asked to simplify the given polynomial expression in terms of the variable x.
The algebraic expression is given as:
[tex](-9x^2+2x+13)-(-7x^2+3x+6)[/tex]
On taking out the terms from both the brackets the sign of the terms of the second bracket gets interchanged as there is a negative sign preceding it.
Hence, we get the expression as:
[tex]=-9x^2+2x+13+7x^2-3x-6\\[/tex]
Now on combining the like terms we get:
[tex]=-9x^2+7x^2+2x-3x+13-6\\\\\\=-2x^2-x+7[/tex]
Solve for m. 5m=35 a. -175 b. -40 c. -30 d. 7
Answer:
m = 7Step-by-step explanation:
[tex]5m=35\qquad\text{divide both sides by 5}\\\\\dfrac{5\!\!\!\!\diagup^1m}{5\!\!\!\!\diagup_1}=\dfrac{35\!\!\!\!\!\diagup^7}{5\!\!\!\!\diagup_1}\\\\\boxed{m=7}[/tex]
Simplify: a + 2a + 3a + 4a
A)
9a
B)
10a4
C)
9a4
D)
10a
You just need to factor a to get
[tex]a(1+2+3+4) = 10a[/tex]
What is the domain of the function shown in the mapping?
{x | x = –5, –3, 1, 2, 6}
{y | y = –9, –6, 0, 2, 4}
{x | x = –9, –6, –5, –3, 0, 1, 2, 4, 6}
{y | y = –9, –6, –5, –3, 0, 1, 2, 4, 6}
Answer:
x verse y on the map
Step-by-step explanation:
It shows what the x and the y cordinates are
Need help ASAP please! 60 points! -Does anyone have an idea as to how the function should be drawn? I think that there should be a shift but I don't know to what direction. Your help would be very appreciated
P(x) to P(x+2), you need to graph the same but shift 2 units to the left.
New function :
Max = 4 ,coordinate points (-5, 0) and (5,0)
PLEASE HELP 50 POINTS WILL MARK BRAINLIEST. find the value of x rounded to the nearest tenth.
For this case we must find the value of "x", by trigonometric relations.
The tangent of an angle is given by the leg opposite the angle on the leg adjacent to the same angle.
[tex]tg (25) = \frac {10} {x}\\x = \frac {10} {tg (25)}\\x = \frac {10} {0.46630766}\\x = 21.4450691202[/tex]
Rounding:
[tex]x = 21.4[/tex]
Answer:
21.4
Answer:
x = 21.44506921
Step-by-step explanation:
Trigonometry
We need to find x or the adjacent
We are given the Opposite ( 10 )
We don't need the hypotenuse
So we use our formula triangles
TOA SOH CAH
Since we don't need the hypotenuse, we look for a formula without ' H ' in it and it is TOA so we use it
Tan = Opposite ÷ Adjacent
We need to find the adjacent so we rearrange the formula into
Adjacent = Opposite ÷ Tan
Adjacent = 10 ÷ tan(25)
Adjacent = 21.44506921
The coordinate shows points a through k. Which points are solutions to the system of inequalities listed below?
2x+y<10
2x-4y>8
Answer choices:
E,F,G,H,J
E,F,G
A,C,D,K
A,E,F
Answer:
E,F and G
Step-by-step explanation:
we have
2x+y < 10 ---> inequality A
The solution of the inequality A is the shaded area below the dashed line
2x+y=10
Find the intercepts of the dashed line to plot the inequality A in the graph
The x-intercept is the point (5,0)
The y-intercept is the point (0,10)
2x-4y >8 ----> inequality B
The solution of the inequality B is the shaded area below the dashed line 2x-4y=8
Find the intercepts of the dashed line to plot the inequality B in the graph
The x-intercept is the point (4,0)
The y-intercept is the point (0,-2)
The solution of the system of inequalities the shaded area
see the attached figure
If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution of the system
In this problem the solutions are E,F and G
The length of a rectangular floor is 2 feet more than its width. The area of the floor is 168 square feet. Kim wants to use a rug in the middle of the room and leave a 2-foot border of the floor visible on all sides. What should the length (the shorter side) of the rug be
Answer:
8 ft
Step-by-step explanation:
let width = x
then length= x+2
Area = l(w)
=x(x+2)
168 = x^2 + 2x
x^2 + 2x-168=0
Using quadratic formula we get roots :
x= 12, x=-14
x= 12 (as width cannot be in negative)
then length= x+2 = 14
length of rug= length of floor - 4
= 14- 4
= 10
width of rug= width of floor- 4
= 12-4
= 8
Hence the length (the shorter side) of the rug be 8 feet !
What are some equivalent fractions for 2/5 ?
To solve this all you need to do is take the fraction 2/5 and multiply it by a number (this means you multiply BOTH the denominator and the numerator)
1. Multiply the original fraction by 2:
[tex]\frac{2*2}{5*2} = \frac{4}{10}[/tex]
2. Multiply the original fraction by 3:
[tex]\frac{2*3}{5*3} = \frac{6}{15}[/tex]
3. Multiply the original fraction by 4:
[tex]\frac{2*4}{5*4} = \frac{8}{20}[/tex]
4. Multiply the original fraction by 5:
[tex]\frac{2*5}{5*5} = \frac{10}{25}[/tex]
5. Multiply the original fraction by 6:
[tex]\frac{2*6}{5*6} = \frac{12}{30}[/tex]
All of the fractions above are equal to 2/5 and to each other. You can keep doing this with higher numbers if you wold like, but these are just a few examples.
Hope this helped!
Hello There!
Some equivalent fractions of 2/5 are:
2/5 = 4/10 = 6/15 = 8/20 = 10/25 = 12/30 = 14/35 = 16/40 = 18/45 = 20/50 = 22/55 = 24/60 = 26/65 = 28/70 = 30/75 = 32/80 = 34/85 = 36/90 = 38/95 = 40/100 = 42/105
Equivalent fractions are fractions that equal each other, but they look different from each other. These fractions are represented differently.
A square piece of confetti has an area of 25 square millimeters. How long is each side?
The formula for the area of a rhombus is s^2=A. Plug in and solve:
s^2=25
*Take the square root of both sides*
s=5
Hope this helps!!
Answer:
The side length is 5 mm
Step-by-step explanation:
Since it is square, we know the area of a square is given by
A = s^2 where s is the side length of the square
25 = s^2
Take the square root of each side
sqrt (25) = sqrt(s^2)
5 = s
The side length is 5 mm
Dahlia is trying to decide which bank she should use for a loan she wants to take out. In either case, the principal of the loan will be $19,450, and Dahlia will make monthly payments. Bank P offers a nine-year loan with an interest rate of 5.8%, compounded monthly, and assesses a service charge of $925.00. Bank Q offers a ten-year loan with an interest rate of 5.5%, compounded monthly, and assesses a service charge of $690.85. Which loan will have the greater total finance charge, and how much greater will it be? Round all dollar values to the nearest cent.
It is computed that loan Q's finance charge will be $83.73 greater than loan P's.
How to compute the loan?From the information, the payment for bank P will be:
= (0.058/12)(19450) / [1 - (1 + 0.058/12)^108
= 231.59
The future value will be:
= 231.59 × 12 × 9
= 25011.72
The finance charge for P will be:
= (25011.72 - 19450) + 925
= 6846.72
The payment for Q is 211.08. The future value will be:
= 211.08 × 12 × 10
= 25329.60
The finance charge for Q will be:
= (25329.60 - 19450) + 690.85
= 6570.45.
The difference will now be:
= 6570.45 - 6846.72
= $83.73
Learn more about loans on:
https://brainly.com/question/26011426
Answer:
A
Step-by-step explanation:
Got it right
Solve -8a + 3a = -9a + 2x - 4 for a in terms of x.
The answer is X= 2a+2
Answer:
a = 1/2x - 1
Step-by-step explanation:
-8a + 3a = -9a + 2x - 4
-8a + 3a + 9a = 2x - 4
4a = 2x - 4
a = (2x - 4) ÷ 4
a = 1/2x - 1
The graph shows two lines, A and B.
Part A: How many solutions does the pair of equations for lines A and B have?
Part B: What is the solution to the equations of lines A and B?
part a: 1
part b: (3,5)
Dolores bought 3 tapes that cost $4.95 each. the tax on her purchase was %6. What was her total bill
Answer:15.741
Step-by-step explanation: 4.95*3= 14.85, 14.85* 0.06= 0.891+14.85=15.741
Hope it helped!
The 8 students in Mrs. Alexander's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered: 13, 4, 15, 4, 16, 15, 3, 3 Find the mean and median travel times for these students. If necessary, round your answers to the nearest tenth.
To find the mean just add all of them then divide the result by 8. To find the median put the numbers in order. So 3, 3, 4, 4, 13, 15, 15, 16 then find the middle number, if there is not middle number (which there isn’t) add the two middle numbers (4 and 13) to get 17 then divide 17 by 2 to get 8.5 which is the median
What is the surface area of a rectangle box that measures 1/4 meter by 0.36 meters by 2.8 meters
Answer:
The surface area is [tex]SA=3.596\ m^{2}[/tex]
Step-by-step explanation:
we know that
The surface area of the box is equal to
[tex]SA=2[LW]+2(L+W)H[/tex]
Let
[tex]L=1/4=0.25\ m[/tex]
[tex]W=0.36\ m[/tex]
[tex]H=2.8\ m[/tex]
substitute the values
[tex]SA=2[0.25*0.36]+2(0.25+0.36)(2.8)[/tex]
[tex]SA=0.18+3.416[/tex]
[tex]SA=3.596\ m^{2}[/tex]
A teacher is told he will have 20 students in his first-period class this year. He wants to predict the birthday month of his students, so he decides to run a simulation where January = 1, February = 2, etc. Use the simulated results to estimate the probability that a randomly picked student will have a September birthday.
9 6 5 8 9 2 4 10 9 7 2 10 12 6 9 2 9 11 1 3
Answer:
[tex]P = 0.25[/tex]
Step-by-step explanation:
The simulation shows a result composed of 20 data.
If January represents month 1 and February represents month 2 then September is represented by number 9.
According to this simulation, the probability of a randomly selected student having birthdays in September is:
[tex]P = \frac{X_9}{20}[/tex]
Where [tex]X_9[/tex] is the frequency of 9. That is, [tex]X_9[/tex] is the number of times the number 9 appears among the 20 data
Therefore:
[tex]P = \frac{5}{20}[/tex]
[tex]P = \frac{1}{4}[/tex]
[tex]P = 0.25[/tex]
Answer:
0.25
Step-by-step explanation:
gradpoint
Select the correct answer from each drop-down menu.
Answer:
q(x)= 2x+5
r(x)= 6
Step-by-step explanation:
Given:
2x^2+13x+26 /x+4
Re-writing in the form of q(x) + r(x)/d(x)
Let
Polynomial P(x)= 2x^2+13x+26
Polynomial d(x)= x+4
Using remainder theorem, putting -4 in P(x) to find r(x)
P(-4)= 2(-4)^2+13(-4)+26
=6
i.e r(x)= 6
Finding q(x) by long division
q(x)= 2x+5
Hence given expression in the form q(x) + r(x)/d(x)
= (2x+5) + 6/x+4 !
Tameca already has a $55 dollars in her savings account. If she puts $5 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $100 in her account.
To find out how many weeks Tameca needs to save to have at least $100, we create an inequality, 5w + 55 >= 100, where 'w' represents the number of weeks. Solving this inequality gives w >= 9. Therefore, Tameca needs to save for at least 9 weeks.
Explanation:The subject of this problem is linear inequalities, which falls under Mathematics. To solve this problem, let's denote the number of weeks that Tameca needs to save money as 'w'. Since she already has $55 and is saving $5 each week, the inequality that represents this situation is 55 + 5w >= 100.
In order to solve this inequality, we need to isolate 'w'. You can do this by subtracting 55 from both sides of the inequality to get 5w >= 45. Then, divide both sides by 5 to get w >= 9.
Therefore, Tameca must save for at least 9 weeks in order to have a minimum of $100 in her savings account.
Learn more about Linear Inequalities here:https://brainly.com/question/29068591
#SPJ3