Answer:
[tex]x=-10[/tex]
Step-by-step explanation:
[tex]2(x-3)+7-3x=11[/tex]
[tex]2\left(x-3\right)+7-3x-7=11-7[/tex]
[tex]2\left(x-3\right)-3x=4[/tex]
[tex]-x-6=4[/tex]
[tex]-x-6+6=4+6[/tex]
[tex]-x=10[/tex]
[tex]\cfrac{-x}{-1}=\cfrac{10}{-1}[/tex]
[tex]x=-10[/tex]
~
The map of a biking trail is drawn on a coordinate grid.
PLEASE HELP!
The trail starts at P(−2, 2) and goes to Q(5, 2).
It goes from Q to R(5, −5) and then to S(8, −5).
What is the total length (in units) of the biking trail? (1 point)
10
16
17
18
Answer:
17 units
Step-by-step explanation:
See the attached image
Giving right answer branleist
Answer:
The slope is 11/5 or 2.2, gimme that brainliest
A basketball player is shooting a basketball toward the net. The height, in feet, of the ball t seconds after the shot is modeled by the equation h = 6 30t – 16t2. Two-tenths of a second after the shot is launched, an opposing player leaps up to block the shot. The height of the shot blocker’s outstretched hands t seconds after he leaps is modeled by the equation h = 9 25t – 16t2. If the ball was on a path to reach the net 1. 7 seconds after the shooter launches it, does the leaping player block the shot? yes, exactly 0. 6 seconds after the shot is launched yes, between 0. 64 seconds and 0. 65 seconds after the shot is launched yes, between 0. 84 seconds and 0. 85 seconds after the shot is launched no, shot not blocked.
The shot was blocked between 0.84 and 0.85 seconds after the shot is launched.
what will be the time in which the blocker will block the ball?The given equation for ball height
[tex]=6+30t-16t^{2}[/tex]
The equation for the blocker's height will be
[tex]=9+25t-16t^{2}[/tex]
But, the shot is made before two-tenths of a second or 0.2 seconds therefore modified equation for ball height is
[tex]=6+30(t-0.2)-16(t-0.2)^{2}[/tex]
Now for the shot to be blocked, the height of the shot-blocker must be greater than the height of the ball which is shot before 0.2 seconds :
[tex]9+25t-16t^{2} \geq 6+30(t-0.2)-16(t-0.2)^{2}[/tex]
[tex]9+25t-16t^{2} \geq6+30t-6-16(t^{2} -0.4t+0.04)[/tex]
[tex]9+25t-16t^{2} \geq30t-16t^{2} -6.4t+0.64[/tex]
[tex]9+25t\geq36.4t-0.64[/tex]
[tex]9.64\geq11.4t[/tex]
[tex]t \leq \dfrac{9.64}{11.4}=0.846[/tex]
Thus the shot was blocked between 0.84 and 0.85 seconds after the shot is launched.
To know more about the Equation of motions follow
https://brainly.com/question/25951773
Answer:
C
shot was blocked between 0.84 and 0.85 seconds after the shot is launched.
Step-by-step explanation:
On edge
A bike tire just ran over a nail, and it is losing pressure at a rate of 10% every minute. The tire pressure is currently 1,060 kilopascals. What will it be in 4 minutes?
If necessary, round your answer to the nearest tenth.
Answer:
4x10=40
It will lose 40% pressure after four minutes
It will lose 40% pressure after four minutes
What is exponential growth or decay function?Consider the function:
[tex]y = a(1\pm r)^m[/tex]
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
We have been given that a bike tire just ran over a nail, and it is losing pressure at a rate of 10% every minute. The tire pressure is currently 1,060 kilo-pascals. We are asked to find the tire pressure in 4 minutes.
We will use exponential decay formula to solve our given problem.
[tex]y = a(1\pm r)^m[/tex]
Let us convert 10% into decimal.
0.01
Initial value is 1,060 . Upon substituting our given values in above formula, we will get:
y = 1,060 (1 - 0.01)^4
Therefore, the tire pressure will be approximately 40% kilo-pascals in 4 minutes.
Learn more about exponential growth and decay here:
https://brainly.com/question/2193820
#SPJ2
Triangle has vertices D(1, 2), E(0, 4), and
F(1, –1). Find the coordinates of the triangle
after a dilation with a scale factor of 3.
Answer: D'(3, 6), E'(0, 12), F'(3, -3)
Step-by-step explanation:
13 A cuboid has a volume of 24 cm. What is its base
area if it has a height of 3 cm?
Answer:
8 cm²
Step-by-step explanation:
Since the Volume of Cuboid = Base Area * Height
Then 24=Base Area * 3
Base Area = 24/3 = 8 cm²
Answer:
8
Step-by-step explanation:
24 = volume
3 = height
24/3 = 8, is the base area.
What is the volume of a sphere with the radius of 9.7 feet, rounded to the nearest 10th of a cubic foot
Determine if the sequence below is arithmetic or geometric and determine the common difference ratio in simplest form. 11,7,3
what is the mode of the following data: 52 bowls of spaghetti, 37 bowls of cereal, 14 sandwhiches, and 17 personal pizzas
The mode of the given data is equal to bowls of spaghetti.
Given the following data:
Bowls of spaghetti = 57.Bowls of cereal = 37.Quantity of sandwiches = 14.Personal pizzas = 17.What is mode?In Mathematics, a mode can be defined as a statistical terminology that is used to denote the value that appears most often or repeatedly occurring in a given data set.
This ultimately implies that, a mode represents the value (number) with the highest frequency. In this exercise, the bowls of spaghetti represents the mode of the given data.
Read more on mode here: https://brainly.com/question/542771
Calculate the circumference and area of this circle.
Answer:
circumference 69.08 area 379.94
Step-by-step explanation:
PLEASE HELP ASAP JUST THE FIRST ONE!!! I WILL MARK BRAINLIEST
Answer:
x = 5, x = 7
Step-by-step explanation:
tangents from an external point to a circle are congruent , then
x² = 12x - 35 ( subtract 12x - 35 from both sides )
x² - 12x + 35 = 0
(x - 5)(x - 7) = 0
equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x - 7 = 0 ⇒ x = 7
Kristin and Julio are selling cookie dough for a school fundraiser. Customers can buy packages of sugar cookie dough and
packages of gingerbread cookie dough. Kristin sold 9 packages of sugar cookie dough and 9 packages of gingerbread cookie
dough for a total of $162. Julio sold 13 packages of sugar cookie dough and 8 packages of gingerbread cookie dough for a
total of $169. What is the cost each of one package of sugar cookie dough and one package of gingerbread cookie dough?
A packag&of sugar cookie dough: $13, package of gingerbread cookie dough: $5
B. package of sugar cookie dough: $5, package of gingerbread cookie dough: $13
C. package of sugar cookie dough: $10, package of gingerbread cookie dough: $8
D. package of sugar cookie dough: $5, package of gingerbread cookie dough: $20
HELP!!! WILL MARK BRAINLIST!!!
Answer:
4 and 3/5
Step-by-step explanation:
What is the domain and range written in inequalities?
I believe the domain is all real numbers but I need the range.
Answer:
Range => y ≤ -2
Domain => All real numbers
Step-by-step explanation:
As it extends horizontally either way, domain can be any possible value.
Whereas it only extends from -2 towards the bottom, therefore the range will be less than or equal to -2.
Is this worded weird or is it just me?
Answer:
It does seem to be worded slightly off
Is 4/3 greater than 9/9
Hey there!
Is 4/3 greater than 9/9?”
Well…
4/3
= 4 ÷ 3
= 1.333333333333333
9/9
= 9 ÷ 9
= 1
4/3 > 9/9
Thus, your answer: YES 4/3 is GREATER THAN 9/9
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Aiko is finding the sum (4 5i) (–3 7i). She rewrites the sum as (–3 7)i (4 5)i. Which statement explains the error Aiko made by using a mathematical property incorrectly?.
Answer:
Distribute Property
Step-by-step explanation:
In the first expression, 7 is the only coefficient of i in the second term, and 5 is the only coefficient of i in the first term. The rewritten sum would simplify to -3i +7i +4i+5i.
the perimeter of a triangle is 31 cm sides #1 and #2 have equal length, while side #3 /is one centimeter shorter than twice the length of side #1. how long is each side?
answers are at down
Step-by-step explanation:
The perimeter of a triangle is 31 cm. Sides #1 and #2 have equal length, while Side #3 is one centimeter shorter than twice the length of Side #1. Let's determine how long each side is: a. Let x represent the length of Side #1. What essential part of this "let" statement is missing? What is the length of Side #2? Side #3? b. Write a mathematical sentence that states that the perimeter is 31 cm. c. Solve the equation you found in part (b) and determine the length of each side. Be sure to label your answers with the appropriate units.
Answer:
8 cm, 8 cm, 15 cm
Step-by-step explanation:
The given relationships between the sides can be used to write an equation. Let s represent the length of side 1. Then side 2 has a length that is also s. Side 3 has length (2s-1). The perimeter is the sum of the side lengths:
s + s + (2s -1) = 31
4s = 32 . . . . . . . . . . collect terms, add 1
s = 8 . . . . . . . . . . divide by 4
(2s -1) = 2·8 -1 = 15
The side lengths are ...
8 cm8 cm15 cmHELP PLEASE!!!
Solve using elimination-
5x-6y=12 10x-12y=32
Step-by-step explanation:
-6y×-2=+12y
5x×-2=-10x
12×-2=-24
=0
So this one makes 0 sense, but it ask for you to: Express as a sum: 15-7
The answer is: " 15 + (-7) " .
_______
Step-by-step explanation:
Here is what to do:
_______
Given: " 15 – 7 " ; Express this as a "sum" :
_______
Note: This given expression is:
" 15 minus 7 "
that is: " 15 – (+7) ;
Note that subtracting a "positive" value;
such as in the very expression given;
is the same value we get when:
adding that particular "negative" value;
→ As such: " 15 – 7 " =
" 15 + (-7) " → which is our answer.
_______
Hope this is helpful to you!
_______
2i ² * 3i
what is the answer???
Answer:
12i
Step-by-step explanation:
2i×2i=4i
4i×3i=12i
What is the slope of the line that passes through the points (-9, -2) and (-9,-6 )? Write in simplest form
Hello.
There are really 2 ways to think about the given problem.
First, we can use the slope formula:
[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]
[tex]\displaystyle\frac{-6-(-2)}{-9-(-9)} =\frac{-6+2}{-9+9} =\frac{-4}{0} =[/tex]
Slope = undefined
The second way is to just take a look at the points.
You should notice that the x-coordinates are the same.'
If the x-coordinates are the same, then the slope is
[tex]\Large\boxed{Und.efined}}[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
Answer:
undefined
Step-by-step explanation:
the x-coordinates are the same look
Find the distance between the points (-1,12) (-1, -3)
Answer:
The distance between -1,12 and -1,-3 is 15
Step-by-step explanation:
Simplify-
Multiply −1 by −1.
√(−1+1)^2 + ((−3) −12)^2
Add −1 and 1.
√0^2 + ((−3) −12)^2
Raising 0 to any positive power yields 0.
√0 + ((−3) −12)^2
Subtract 12 from −3.
√0 + (−15)^2
Raise −15 to the power of 2.
√0 + 225
Add 0 and 225.
√225
Rewrite 225 as 15^2.
√15^2
Pull terms out from under the radical, assuming positive real numbers.
=15
a + b + c = 4
a² + b² + c² = 10
a³ + b³ + c³ = 22
a⁴ + b⁴ + c⁴ =?
Answer:
80
Step-by-step explanation:
I hope it will be helpful
ThxMs. Arrington has been raising money to take her classroom to the zoo. She has raised $580. The zoo has allowed all the adults to enter the zoo at a flat rate of $75 for all. If each student ticket costs $8.50, what is the maximum number of students allowed to attend the field trip?
SHOW ALL WORK !!!!!!!!!!!!!!!!!!!!!!!!
A. 59 students
B. 61 students
C. 58 students
D. 60 students
Answer:75+8.5X=580
580-75=505
505/8.5=59.4117647059
about 59 students could go
what's 8 divided by 2/3
Answer:
It's 12
Step-by-step explanation:
8 divided by 2/3 is 12
hope it helps
Answer:
12
Step-by-step explanation:
8 / (2/3) = 8 x (3/2) = 24/2 = 12
Please help me with this question
Answer:
y = -6x + 4
Step-by-step explanation:
=> y = -6x + 4
according to the image drawn the line appears to have landed on the y-axis on the number four and the x-axis on the number -6 so we have to make y the subject of formula
=. y = -6x + 4
1.) Simplify the expression by combining like
terms: a + 2a - 3a.
Answer: 0
Step-by-step explanation:
We can start by factoring out an a from all 3 terms:
= a (1 + 2 - 3)
We can evaluate 1 + 2 - 3 as 0:
= a(0)
Anything multiplied by 0 is 0, therefore 0a = 0.
What is the solution (x,y) of the system of equation
Answer:
Step-by-step explanation:
the answer is (10,2) in point form, in equation form it is x=10, y= -2.
PLEASE HELP WHOEVER HELPS WILL GET A COOKIE
A: The plane is going 525 miles per hour.
B: In 13 hours the plane will travel 6,825 miles.
Answer:
(a) [tex]\sf 450 \ miles \ per \ hour[/tex]
(b) 675 miles in [tex]\sf 1\frac{1}{2} \ hours[/tex]
explanation:
(a)
given time: [tex]\sf 4\frac{2}{3}[/tex]distance: 2,100unit rate:
[tex]\sf \dfrac{total \ distance}{total \ time}[/tex]
[tex]\sf \dfrac{2100}{\sf 4\frac{2}{3}}[/tex]
[tex]\sf \dfrac{2100}{\sf \dfrac{14}{3}}[/tex]
[tex]\sf 450 \ miles \ per \ hour[/tex]
(b)
distance: speed * time
distance: [tex]\sf 450 \\[/tex] * [tex]\sf 1\frac{1}{2}[/tex]
distance: 675 miles