Answer:
[tex]t^2+1[/tex]
Step-by-step explanation:
We are given that
Distance traveled by a toy car
[tex]D(t)=t^3-3t^2+t-3[/tex]
Where t>3
Time taken by car =t-3 seconds
We have to find the expression which represents the speed of the toy car.
We know that
[tex]Speed=\frac{Distance}{time}[/tex]
Using the formula
[tex]Speed=\frac{(t^3-3t^2+t-3)}{t-3}[/tex]
[tex]Speed=\frac{t^2(t-3)+(t-3)}{t-3}[/tex]
[tex]Speed=\frac{(t-3)(t^2+1)}{t-3}[/tex]
[tex]Speed=t^2+1[/tex]
Hence, the expression which represents the speed of the toy car
[tex]t^2+1[/tex]
The expression that represents the speed of the toy car is [tex]t^2 + 1[/tex].
The calculation is as follows:Given that,
The distance traveled should be [tex]D(t) = t^3 - 3t^2 + t - 3[/tex]
Here t>3
Time taken by car = t -3 seconds
Now the expression should be
[tex]Speed = Distance \div time\\\\= ( t^3 - 3t^2 + t - 3) \div (t - 3)\\\\= t^2(t - 3) + (t - 3) \div (t - 3)\\\\= (t - 3) (t^2 + 1) \div (t - 3)\\\\= t^2 + 1[/tex]
Learn more: brainly.com/question/16911495
Use special right triangle properties to solve for the missing sides.
12
309
X
O x-24;y - 4
Ox=8:y= 4
O x - 413 : y = 873
O y = 473 ; x = 8/3
Answer:
cos30=12/x
√3/2=12/x
x=12×2/√3=24√3/3=8√3
sin30=y/x
1/2=y/8√3
1/2×8√3=y
y=4√3
Olivia has a points card for a movie theater. She receives 80 rewards points just for signing up. She earns 2.5 points for each visit to the movie theater. She needs at least 105 points for a free movie ticket. Write and solve an inequality which can be used to determine xx, the number of visits Olivia can make to earn her first free movie ticket.
Answer:
10 visits
Step-by-step explanation:
According to the scenario, calculation of the given data are as follows,
Rewards for signing up = 80 points
Reward per visit = 2.5 points
Total points needed = 105
Let, number of visits = x
So, we can calculate number of visits by using following formula,
80 + (2.5 × X) = 105
2.5X = 105 - 80
2.5X = 25
X = 25 ÷ 2.5
X = 10 visits.
Hence, Olivia needs to make 10 visits in order to earn a free movie ticket.
what is the slope of the line whose equation is y-4=5/2(x-2)
I need help pls or else I will get in trouble
Need help due in 10 mins pls
What is the first step in evaluating the expression 6−(4÷2×5)2?
Step-by-step explanation:
Do
(4÷2×5)
first
.............
8t=−32
Help a sister out
Answer:
t=-4
Step-by-step explanation:
Answer:
t = -4
Step-by-step explanation:
divide each term by 8 and simplify
Mean, Median, Mode and Range. Easy hard math. Please show work and give answers . Need help appreciate you all
Quiz Scores:
You and your friend are having a friendly competition about the scores on your math quizzes. Both of your scores for the first five quizzes are given below:
Your quiz scores: 18, 16, 19, 15, 17
Friend’s quiz scores: 20, 20, 13, 12, 17
a. Find the mean, median, and mode of both sets of data.
b. Which person – you or your friend – has the higher mean?
World Populations:
The populations (in millions) in 2000 on each of the six inhabited continents were:
803, 487, 348, 368, 730, and 31
a. What is the range of the populations?
b. Find the mean, median, and mode(s) of the populations.
Tomato Plants:
The heights (in inches) of eight tomato plants are:
36, 45, 52, 40, 38, 41, 50, and 48
a. What is the range of the tomato plant heights?
b. Find the mean, median, and mode(s) of the tomato plant heights.
Answer:
:)
Step-by-step explanation:
quiz scores:
a. arrange them all from least to greatest to figure out the median first
your quiz: 15, 16, 17, 18, 19 middle # = 17 median = 17
friend's quiz: 12, 13, 17, 20, 20 middle # = 17 median = 17
now for mean add all of your quiz scores up and divide by how many #s
15 + 16 + 17 + 18 + 19 = 85 / 5 = 17 mean = 17
now your friend's:
12 + 13 + 17 + 20 + 20 = 82 / 5 = 16.4 mean = 16.4
mode is which number is used the most
your mode = you don't have a mode your friend's mode = 20
b. you have a higher mean than your friend
world populations:
a. range is to subtract the smallest number from the largest
803 - 31 = 772
b. mean is adding it all up and dividing by how many numbers there are:
803 + 487 + 348 + 368 + 730 + 31 = 2767 / 6 = 461.17
median is arranging them in order and finding the middle #
31, 348, 368, 487, 730, 803
368 + 487 = 855 / 2 = 427.5
mean = 461.17
median = 427.5
mode = no mode
tomato plants:
a. range is subtracting the smallest from the largest
52 - 36 = 16
b. mean is adding all the #s and dividing by how many #s there are:
36 + 45 + 52 + 40 + 38 +41 + 50 + 48 = 350 / 8 = 43.75
median is the middle from least to greatest
36, 38, 40, 41, 45, 48, 50, 52
41 + 45 = 86 / 2 = 43
mean = 43.75
median = 43
mode = no mode
hope this helps! :)
What integer values satisfy both inequalities? − 2 < x < 3 − 2 ≤ x < 2
Given:
The inequalities are:
[tex]-2<x<3[/tex]
[tex]-2\leq x<2[/tex]
To find:
The integer values that satisfy both inequalities.
Solution:
We have,
[tex]-2<x<3[/tex]
[tex]-2\leq x<2[/tex]
For [tex]-2<x<3[/tex], the possible integer values are
[tex]x=-1,0,1,2[/tex] ...(i)
For [tex]-2\leq x<2[/tex], the possible integer values are
[tex]x=-2,-1,0,1[/tex] ...(ii)
The common values of x in (i) and (ii) are
[tex]x=-1,0,1[/tex]
Therefore, the integer values -1, 0 and 1 satisfy both inequalities.
This table shows some values of an exponential function. x у 01.25 1 2.50 25 3 10 What is the function?
Answer:
[tex]y= 1.25(2)^{x}[/tex]
Step-by-step explanation:
[tex]y= 1.25(2)^{x}[/tex]
For x=0
[tex]y= 1.25(2)^{0} = 1.25[/tex]
For x=1
[tex]y= 1.25(2)^{1} = 1.25(2)=2.5[/tex]
For x=2
[tex]y= 1.25(2)^{2} = 1.25(4)=5[/tex]
For x=3
[tex]y= 1.25(2)^{3} = 1.25(8)=10[/tex]
Please Please Help ME!!! its so hard 50 points
Brainiest for correct answer.
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Step-by-step explanation:
Graph the inequality on the axes below.
3x +y > -7
Step-by-step explanation:
use desmos it's a graphing calculator just put in the equation
The low temperature in City A is -8°F. The low temperature in City B is -12°F Complete the statement below
Answer:
City B is 4 degrees colder than City A
Step-by-step explanation:
When in degrees negatives a much colder. So if the number is negative the higher the number the colder the tempeture.
Have a great day!
Hope this helps!
PLEASE MARK BRAINLIEST.
Brianna bought snacks for her team's practice. She bought a bag of
oranges for $2.63 and a 8-pack of juice bottles. The total cost before
tax was $16.07. Write and solve an equation which can be used to
determine x, how much each bottle of juice costs?
Answer:
$1.68
Step-by-step explanation:
The total cost is $16.07 and there was 2 things bought- the oranges and the juice bottles. to make it easier to find the cost of the juice bottles, we'll subtract the cost of the oranges (2.63) from the total (16.07), which gives us 13.44. this number represents the total cost of only the bottles. To find out the cost if each individual bottle, you need to divide the total (13.44) by the number of bottles (8). This gives us 1.68, so the cost of each bottel is $1.68
Hope this help :)
Pls help math!!!!!!!
Solve the equation for y
y-2/3x= -6
y=
Answer:
y = -6 + 2/3x can I get brainliest?
Step-by-step explanation:
Just add 2/3x to both sides
y-2/3x=-6
+2/3. +2/3
cannot combine like term with number so..
y = -6 + 2/3x
√180m^2
I have to solve this using perfect squares, is anyone familiar with those?
Given:
The expression is
[tex]\sqrt{180m^2}[/tex]
To find:
The value of the given expression by using the perfect squares.
Solution:
We have,
[tex]\sqrt{180m^2}[/tex]
It can be written as
[tex]=\sqrt{2\times 2\times 3\times 3\times 5\times m^2}[/tex]
[tex]=\sqrt{(2)^2(3)^25m^2}[/tex]
[tex]=\sqrt{(2\times 3\times m)^25}[/tex]
[tex]=\sqrt{(6m)^25}[/tex]
[tex]=6m\sqrt{5}[/tex]
Therefore, the value of given expression is [tex]6m\sqrt{5}[/tex].
How many degrees are inside of a convex hexagon? Remember to use (n-2)180.
180
360
720
1080
Find the measure of each interior angle.
Answer:
d) m<J = 115, m<K = 130, m<M = 50, m<N = 65
Step-by-step explanation:
The sum of interior angles in this rectangle is equal to 360
if we add all the given angles 7x + 10 = 360 subtract 10 from both sides
7x = 350 divide both sides by 7
x = 50 to find the measure of each angle replace x with 50
Which equation represents a line which is parallel to the line 7x - y = 4?
Answer:
Step-by-step explanation: step : Place the given line’s equation in slope- intercept form y = mx + b. A line parallel to this line will have the same slope.
7x - y = 4. Yields y = 7 x - 4. Therefore y = 7x - 5 is the correct answer.
How much money does Jeffrey need to buy a stuffed animal and a chess board?
teddy bear
$16.00
toy rocket
$67.00
chess board
$15.00
stuffed animal
$14.00
Answer:
$45
Step-by-step explanation:
the teddy is $16, the stuffed animal is $14 if you add it you get $30. Then you add the chessboard which is $15 all together is $45
Plz can anyone calculate this equation for me. I dont have a
Calculator
Thank you so much
Plz give the right answer!
Answer:
R= 22537
Step-by-step explanation:
The polynomial p(x) = 5x^3 - 9x^2 - 6x + 8 has a known factor of (x+1). Rewrite p(x) as a product of linear factors. (plz help)
Answer:
5x^3-9x^2-6x + 8
= (x+1)(5x-4)(x-2)
Step-by-step explanation:
Firstly, we need to get the other polynomial by which we can multiply the linear factor
What we have to do here is to divide the bigger polynomial by its linear factor
We can do this by long division, please check attachment for this
By kind division, the other factor is;
5x^2-14x + 8
So, we proceed to factorize this;
We have this as ;
5x^2-10x-4x+ 8
5x(x-2) -4(x-2)
= (5x-4)(x-2)
I need help solving this problem please I would like short explanations please its more helpful for me. :)
Answer:
First point goes on -2
Step-by-step explanation:
A designer makes a model of a patio using inch square tiles. Each 1 inch square tile = 4
square feet. What area is represented by the 8 x 6 model?
96 square feet
]} in.
92 square feet
384 square feet
56 square feet
each žin. tile = 4 sq.ft.
Done-
Answer:
yes
Step-by-step explanation:
Solve this system using the substitution method.
2x + 2y = 14
y = 3x - 5
x=
y=
Answer:
The solution is:
x=3
y=4
Step-by-step explanation:
We need to solve this system using the substitution method.
2x + 2y = 14
y = 3x - 5
Substitution method involves placing value of x or y from one equation to other equation.
We have:
[tex]2x + 2y = 14--eq(1)\\y = 3x-5 --eq(2)[/tex]
We will put value of y from equation 2 into equation 1.
[tex]2x + 2y = 14\\Put\:y = 3x - 5\\2x+2(3x-5)=14\\2x+6x-10=14\\8x=14+10\\8x=24\\x=\frac{24}{8}\\x=3[/tex]
So, we get x =3
Now, put value of x in equation 2 to find value of y
[tex]y = 3x - 5\\Put\:x=3\\y=3(3)-5\\y=9-5\\y=4[/tex]
So, we have y = 4
The solution is:
x=3
y=4
Simplify 3x+5m+6m+c please
Answer:
3x + 11m + c
Step-by-step explanation:
Step 1) Write the Equation: 3x + 5m + 6m + c
Step 2) Add like Terms: 3x + 11m + c
CAN SOMEONE PLEASE HELP ITS EASY BUT IM D U M B
Answer:
I believe the answer is C. Use Desmos and plug in the equation y=-x-2
Step-by-step explanation:
a puppy gained 6 pounds during the month of September which has 30 days. on average how many pounds did the puppy gain each day select all that apply
help me pls!!!!!! which option
Answer:
Step-by-step explanation:
That x in the denominator has a power of 1 even if its not visually there. When you multiply exponents, you add them.
[tex]x^1*x^-^2=x^-^1[/tex]
Now you have this
[tex]x^-^6/x^-^1[/tex]
When you divide exponents, you subtract them
[tex]x^-^5 = 1/x^5[/tex]