[tex]~~~~~~11|x+1| < 44\\\\\implies |x+1| < \dfrac{44}{11}\\\\\implies |x+1| < 4\\\\\implies x +1 > -4~~~ \text{and}~~~ x+1 < 4\\\\\implies x > -4-1~~~ \text{and}~~~~ x < 4-1\\\\\implies x > -5~~~~~~~~ \text{and}~~~~~ x < 3\\\\\text{Hence,}~~ -5 < x < 3[/tex]
could i have some really really quick help?
Answer:
1125 m
Step-by-step explanation:
Given equation:
[tex]h=-5t^2+150t[/tex]
where:
h = height (in metres)t = time (in seconds)Method 1
Rewrite the equation in vertex form by completing the square:
[tex]h=-5t^2+150t[/tex]
[tex]\implies h=-5t^2+150t-1125+1125[/tex]
[tex]\implies h=-5(t^2-30t+225)+1125[/tex]
[tex]\implies h=-5(t-15)^2+1125[/tex]
The vertex (15, 1125) is the turning point of the parabola (minimum or maximum point). As the leading coefficient of the given equation is negative, the parabola opens downward, and so vertex is the maximum point. Therefore, the maximum height is the y-value of the vertex: 1125 metres.
Method 2
Differentiate the function:
[tex]\implies \dfrac{dh}{dt}=-10t+150[/tex]
Set it to zero and solve for t:
[tex]\implies -10t+150=0[/tex]
[tex]\implies 10t=150[/tex]
[tex]\implies t=15[/tex]
Input found value of t into the original function and solve for h:
[tex]\implies -5(15)^2+150(15)=1125[/tex]
Therefore, the maximum height is 1125 metres.
Convert to vertex form y=a(x-h)²+k
h=-5t²+150t+1125-1125h=-5t²+150t-1125+1125h=-5(t²-30t+225)+1125h=-5(t-15)²+1125Vertex at (15,1125)
As a is negative parabola is opening downwards hence vertex is maximum
Max height=1125mA certain population has been shown to have a 2% annual growth rate. The
initial population is 75,000. What will the population be after 10 years
Answer:
91425
Step-by-step explanation:
0.02 is annual growth
10 is for the period of time
75000 * ( 1 + 0.02) ^ 10 ~ 91425
PLEASE HELP PLEASE I WILL GIVE BRIANLIEST
Answer:
2:3
Explanation:
We can simplify the ratio 600 : 900 by dividing both terms by the greatest common factor (GCF).
The GCF of 600 and 900 is 300.
Divide both terms by 300.
600 ÷ 300 = 2
900 ÷ 300 = 3
Therefore:
600 : 900 = 2 : 3
Answer:
2:3
Step-by-step explanation:
hope it helps :>
Find all numbers whose absolute value is 2.
If there is more than one, separate them with commas.
If there are no such numbers, say none.
Find the measure of the missing angle
Answer:
48
Step-by-step explanation:
Straight line=180 degrees
we already know one angle and thats 132
so we're trying to find the other angle demention so we do 180-132 and end up with 48
Hope that helps :)
HELPPPPPPPPPPPPPPPPPPPPP
Answer:
Current price is $3,000
Price 10 years from today is $3,840
Step-by-step explanation:
[tex]3000( {1.025}^{10} ) = 3840.25[/tex]
Please 100 points and brainliest if u do them all plsssssss I rlly need help asap
Answer:
Question 1
F
T
T
The volume of figure A can be found by multiplying (5 · 7)(2).
Question 2
T
T
F
The total volume of the figure is 442 mm³
Question 3
T
F
T
The volume of the triangular prism is 108 in³
Step-by-step explanation:
Formula used
Volume of a prism = base area × height
Area of a rectangle = width × length
Area of a triangle = 1/2 × base × height
Volume of a cube = s³ (where s is the side length)
---------------------------------------------------------------------------------------------------
Question 1⇒ Volume of Figure A = (5 · 7)(2)
= 70 cm³
⇒ Volume of Figure B = (13 · 7)(2)
= 182 cm³
⇒ Total Volume = Volume of Figure A + Volume of Figure B
= 70 + 182
= 252 cm³
The first statement is false.
Rewritten statement:
The volume of figure A can be found by multiplying (5 · 7)(2).
---------------------------------------------------------------------------------------------------
Question 2⇒ Volume of rectangular prism = (15 · 15)(2)
= 450 mm³
⇒ Volume of central cube = 2³
= (2 · 2 · 2)
= 8 mm³
⇒ Total Volume = Volume of rectangular prism - Volume of cube
= 450 - 8
= 442 mm³
The third statement is false.
Rewritten statement:
The total volume of the figure is 442 mm³
---------------------------------------------------------------------------------------------------
Question 3⇒ Volume of rectangular prism = (12 · 3)(8)
= 288 in³
⇒ Volume of triangular prism = (1/2 · 12 · 6)(3)
= 108 in³
⇒ Total Volume = Volume of rectangular prism + Volume of triangular prism
= 288 + 108
= 396 in³
The second statement is false.
Rewritten statement:
The volume of the triangular prism is 108 in³
What is the congruence correspondence, if any, that will prove the given triangles congruent?
Answer: None
Step-by-step explanation:
There are no pairs of congruent sides, so the triangles cannot be proven congruent.
5. Presidential elections are held every
4 years. There were Presidential
elections in 1840, 1844, 1848, and 1852.
When were the next three Presidential
elections? Describe a feature of
the pattern.
Answer:
1856, 1860, 1864
Step-by-step explanation:
add four to the previous year to get the year of the next elections
Answer:
1856, 1860, 1864
Step-by-step explanation: Pretty sure this is correct.
The algebraic expression [tex]9p - 10q + 3 - 9p[/tex] is a?
Just tell me what kind of expression it is. Extra points if you answer it.
Answer:
Binomial
Step-by-step explanation:
Simplify the expression :
9p - 10q + 3 - 9p3 - 10qThere are 2 terms.
Hence, it is a binomial
Answer:
Linear expression
Step-by-step explanation:
First, simplify the expression.
Given expression: [tex]9p-10q+3-9p[/tex]
Collect like terms: [tex]9p-9p-10q+3[/tex]
Combine like terms: [tex]-10q+3[/tex]
As each term of the expression is either a numeric constant or a variable with no exponent, this is a linear expression.
It can also be called a binomial expression since the expression only contains two terms (the constant and the variable).
In the figure below, ~ .
The size of angle BAC is:
B= 75 degrees
A= 55 degrees
C=?
Answer:
[tex]C=20degrees[/tex]
Step-by-step explanation:
[tex]75 -55=20[/tex]
or [tex]20+55=75[/tex]
So the degrees of Angle C is [tex]20[/tex]
40=3x+x^2
How do I find the answer to this
Answer:
x = -8, x = 5
Step-by-step explanation:
This can be solved using Factorization method:
[tex] 40 = 3x + {x}^{2} \\ \\ \implies \: {x}^{2} + 3x - 40 = 0 \\ \\ \implies \: {x}^{2} + 8x - 5x- 40 = 0 \\ \\ \implies \: x({x} + 8) - 5(x + 8) = 0 \\ \\ \implies \: ({x} + 8) (x - 5) = 0 \\ \\ \implies \: ({x} + 8) = 0 \: \: or \: \: (x - 5) = 0 \\ \\ \implies \: x = - 8 \: \: or \: \: x = 5 \\ \\ x = - 8, \: \: 5[/tex]
Calculate the perimeter of a football field measuring 80m by 50m
Answer:
260m
Step-by-step explanation:
the length and the width of a football field is 80m and 50 meters.
perimeter- (80+50)×2= 260m
hope it helps
An amateur soccer ball is priced at
$19.50. This is 3/4ths the price of a
professional ball. What is the price of
the professional ball?
Answer: $26
Step-by-step explanation:
If $19.50 is 3/4, we need to find 4/4.
3/4 -> 0.75
4/4 -> 1
We will set up a proportion and solve.
[tex]\frac{19.5}{0.75} =\frac{x}{1}[/tex]
19.5 = 0.75x
26 = x
The professional ball is $26.
Answer:
$26
Step-by-step explanation:
19.50 = 3/4
so
to find 1/4, we do 19.50 / 3 = 6.5
6.5 = 1/4
so the price of a professional ball would be 4/4 (1 whole)
6.5 x 4 = 26
Hope this makes sense.
- profparis
Question 14(Multiple Choice Worth 1 points)
(03.03 MC)
The map shows the location of a mall, library, and school in a city:
Coordinate grid shown from negative 16 to positive 16 on x axis at intervals of 2, and negative 10 to positive 10 on y axis at intervals of 2. A triangle is shown with vertices labeled Library, Mall, and School. Library is the ordered pair negative 15, 6, Mall is the ordered pair 15, 6, and School is the ordered pair 15 and negative 10.
Mike traveled from the school to the mall and then from the mall to the library. Henry traveled from the school to the library. How many more miles did Mike travel than Henry?
10 miles
12 miles
34 miles
46 miles
Answer: mike traveled 34 miles
Only help if you know please
The sum of slip is 9 small coffee order, then sum is 11 medium coffee order, and when the sum is 6 or 14 large coffee is ordered.
What is arrangement?Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.
A hat contains 4 slips of paper labeled as 3,3,6 and 8. One slip is selected randomly and without replacing, another one is selected. The number on the slips are added together.
The probability of getting a sum of 6 (3+3) is,
[tex]P_(3,3)=\dfrac{1}{4}\times\dfrac{1}{3}+\dfrac{1}{3}\times\dfrac{1}{4}\\P_(3,3)=\dfrac{1}{12}+\dfrac{1}{12}\\P_(3,3)=\dfrac{2}{12}\\P_(3,3)=\dfrac{1}{6}[/tex]
The probability of getting the sum of 9 (6+3) or (3+6) is,
[tex]P_(3,6)=\dfrac{1}{4}\times\dfrac{2}{3}+\dfrac{2}{4}\times\dfrac{1}{3}\\P_(3,6)=\dfrac{2}{12}+\dfrac{2}{12}\\P_(3,6)=\dfrac{4}{12}\\P_(3,6)=\dfrac{1}{3}[/tex]
The probability of getting the sum of 9 (6+3) or (3+6) is,
[tex]P_(3,8)=\dfrac{1}{4}\times\dfrac{2}{3}+\dfrac{2}{4}\times\dfrac{1}{3}\\P_(3,8)=\dfrac{2}{12}+\dfrac{2}{12}\\P_(3,8)=\dfrac{4}{12}\\P_(3,8)=\dfrac{1}{3}[/tex]
The probability of getting a sum of 6 (3+3) is,
[tex]P_(6,8)=\dfrac{1}{4}\times\dfrac{1}{3}+\dfrac{1}{3}\times\dfrac{1}{4}\\P_(6,8)=\dfrac{1}{12}+\dfrac{1}{12}\\P_(6,8)=\dfrac{2}{12}\\P_(6,8)=\dfrac{1}{6}[/tex]
There are three size of coffee to order:
Small sizeMedium sizeLarge SizeThus, when the sum of slip is 9 small coffee order, if sum is 11 medium coffee order, and when the sum is 6 or 14 large coffee is ordered.
Learn more about the arrangement here;
https://brainly.com/question/6032811
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(08.02)
Consider the following system:
y = -x − 2
y = 2x + 10
Graph the equations in the system to determine the point where the lines intersect? (4 points)
(−4, 2)
(4, 2)
(−2, 4)
(2, 4)
Answer:
(-4,2)
Step-by-step explanation:
Kindly check the attatched image to see the system graphed
The two equations intersect at (-4,2) so the solution is (-4,2)
A gray paint is made using 3 oz of white and 5 oz of black. How many Ounces of white paint are needed if 14 oz of black paint is used? help asap please
Answer:
9 oz I think not entirely sure
Turn 6% into a decimal
Answer:
0.06
Step-by-step explanation:
Answer:
.06
Step-by-step explanation:
If 1 is 100%, then .06 is 6%.
Hope this helps!
What is the perimeter of the triangle? (30 Points)
Answer:
D. 8x - 3
Step-by-step explanation:
Simply add all the sides up - 2x+3x+3x - 1+1+1 = 8x - 3
Jonah and Tito were practicing for the upcoming track meet. Jonah finished 5 laps in 9 minutes, while Tito finished 7 laps in 11.2 minutes, each running at a steady pace. Who is running at a faster rate?
Since the unit rate of Tito is greater than that of Jonah, hence Tito is running at a faster rate
Unit ratesThe ratio of distance covered by an object to tme taken is unit rate.
Calculate the unit rate for both Jonah and Tito
For Jonah
Unit rate = 5laps/9minutes
Unit rate = 0.56 laps per minute
For Tito
Unit rate = 7laps/11.2minutes
Unit rate = 0.625laps per minute
Since the unit rate of Tito is greater than that of Jonah, hence Tito is running at a faster rate
Learn more on rate here: https://brainly.com/question/24304697
#SPJ1
Find the solutions to the equation below.
Check all that apply.
2x² +7x+3=0
A. x=2
B. x=4
C. x= 3
D. x=7
Ex=-3
F. x= -1/-2
Answer:
E and F.
Step-by-step explanation:
This can be written in quadratic formula.
x = -b +- √b² - 4ac/2a
The equation to solve is written as ax² + bx + c = 0.
a = 2, b = 7, c = 3
x = -7 +- √49 (7²) - 24 (4*2*3, or 4ac).
x = -7 +- √25
x = -7 +- 5
divide by 2a (4)
-7/4 = -1.75
5/4 = 1.25
now we do -1.75 +- 1.25
x = -1/2 (F.)
x = -3 (E.)
Sorry for the late response, I had made an error and had to fix it.
A helicopter flies at a speed of 160 miles per hour. It takes the helicopter h hours to reach its destination.
Enter an equation that can be used to find the number of hours it will take the helicopter to reach a destinationthat is 1050 miles away.
Help!!!
For babysitting nicole charges a flat fee pf $20, plus $15 per hour. How much money will she make if she baby-sits 8 hours?
Answer:
[tex]\huge\boxed{\bf\: 140 \: dollars}[/tex]
Step-by-step explanation:
Flat fee = $20
Dollars charged per hour = $15
Dollars charged for 8 hours = ?
Dollars charged for 8 hours
= Dollars charged per hour × 8
= 15 × 8
= $120
Money made in total by Nicole
= Dollars charged for 8 hours + Flat fee
= $120 + $20
= $140
[tex]\rule{150pt}{2pt}[/tex]
Assessment started: undefined. Item 1 A rectangle is 12 feet long and 34 feet wide. What is the area of the rectangle? Enter your answer as a fraction in simplest form by filling in the boxes
Area:-
Length×Width12(34)408ft²Answer:
408 ft²
Step-by-step explanation:
Given that,
→ Length (l) = 12 ft
→ Breadth (b) = 34 ft
Formula we use,
→ Area of rectangle = l × b
Then the area will be,
→ l × b
→ 12 × 34
→ 408 ft²
Hence, the area is 408 ft².
Lucy went on holiday for 10 days. These are the temperatures for each day. 21°C 24°C 29°C 23°C 24°C Calculate the median temperature 24°C 27°C 23°C 22°C 23°C
Answer:
Step-by-step explanation:
21 22 23 23 23 24 24 24 27 29
(23 + 24)/2= 47/2= 23.5 is the median temperature
NEED HELP ASAP!!!!
Examine the information you have researched. Decide whether you recommend this country for your family’s new home. Write down the reasons you do or do not recommend it.
I CHOSE JAMAICA, AND I SAID
The standard of living of Jamaica, in the Caribbean, is so different compared to that in the United States. Jamaica is a poor, underdeveloped country that has so many economic and politic problems. The public infrastructure is limited, the level of education is not as advanced as in the US, and the creation of jobs is short. Oftentimes, Jamaican people have to migrate to other countries in order to find better living conditions
SO GO OFF OF THAT
Answer:
NO
Step-by-step explanation:
Reasons:
1) It is a poor country
2) many economic and politic problems
3) public infracture is limited
4) education is not as advanced
5) creations of jobs is short
Sketch a drawing of a square. Describe the properties of a square.
All four sides of a square are congruent and they all equal 90 degrees
Determine the equation of the circle graphed below.
Answer:
x^2 + y^2 = 49
Step-by-step explanation:
The equation of a circle is given by
( x-h) ^2 + (y-k) ^2 = r^2
(h,k) is the center of the circle and r is the radius
The circle is centered and (0,0) and the radius is 7
( x-0) ^2 + (y-0) ^2 = 7^2
x^2 + y^2 = 49