Answer:
f(2) = 5
Step-by-step explanation:
Given: f(x) = x² + 2x - 3
We are asked to find the value of the function when x = 2.
In the function, substitute 2 as the value of x and simplify:
f(2) = (2)² + 2(2) - 3
f(2) = 4 + 4 - 3
f(2) = 8 - 3
f(2) = 5
When x is equal to 2, the value of the function is 5.
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If P is directly proportional to Q. And Q = 30 when P = 40. Find Q when P = 70
Answer:
Q = 52.5
Step-by-step explanation:
given P is directly proportional to Q then the equation relating them is
P = kQ ← k is the constant of proportion
to find k use the condition Q = 30 when P = 40 , then
40 = 30k ( divide both sides by 30 )
[tex]\frac{40}{30}[/tex] = [tex]\frac{4}{3}[/tex] = k
P = [tex]\frac{4}{3}[/tex] Q ← equation of proportion
when P = 70 , then
70 = [tex]\frac{4}{3}[/tex] Q ( multiply both sides by 3 to clear the fraction )
210 = 4Q ( divide both sides by 4 )
52.5 = Q
hhelp plssssssssssssssssssssssssssss
Answer:
This is false
Step-by-step explanation:
HELP PLEASE For the following right triangle, find the side length x.
Answer:
37
Step-by-step explanation:
use Pytago ( you can search it online )
At what nominal rate, compounded semi-annual, would $6,000.00 have to be invested to amount to
$9,066.41 in 6 years?
The rate would be
%. (If needed, round to 1 decimal place.)
Solve the system of equations 3x - 2y = 8 x-2y = 4
Answer: (2, -1), or x = 2 and y = -1
By graphing:
We can solve by graphing. See attached.
-> The solution is the point of intersection. The lines intersect at (2, -1) which means x is equal to 2 and y is equal to -1.
By substituting:
We can solve this by substituting. It means we will substitute one equation into the other, then solve for the variables.
3x - 2y = 8
x - 2y = 4 -> x = 2y + 4
-
3x - 2y = 8
3(2y + 4) - 2y = 8
6y + 12 - 2y = 8
4y = -4
y = -1
-
x - 2y = 4
x - 2(-1) = 4
x + 2 = 4
x = 2
The first aircraft has 59 more seats than the second aircraft. The third aircraft has 42 fewer seats than the second aircraft. If their total number of seats is 407, find the number of seats for each air craft.
Answer:
first aircraft=189
second aircraft=130
third aircraft=88
Step-by-step explanation:
1st = x+59
2nd = x
3rd= x-42
x + 59 + x + x - 42 = 407
3x + 59- 42 = 407
3x + 17 = 407
3x = 407 - 17
x=390÷3
=130
1st=130+59=189
2nd=130
3rd=130-42=88
Proving Parallelogram
Answer:
Soln.
Given that we have proven:AB =CD and BC=DA
we will be said that the A and C is the angle of 90° and we will add the letters to get the results so let's started the A+90°+ 90°+ B+C+ D=90°
A+180°+B+C+D
180°+90°
=270°
exam tomorrow need help
Answer:
See below ~
Step-by-step explanation:
The perimeter of a figure refers to the sum of the side lengths of its edges.
Figure (a) : Triangle
⇒ P = 2a + 1 + 3a + a - 4
⇒ P = 6a - 3
⇒ P = 3 (2a - 1)
Figure (b) : Hexagon
⇒ P = 3m - 1 + 3n + n + m + 3m + 1 + 4n + m + n + 2
⇒ P = 3m + m + 3m + m + 3n + n + 4n + n + 1 - 1 + 2
⇒ P = 8m + 9n + 2
Figure (c) : Trapezoid
⇒ P = 2a + 3 + 3a - b + 2a + 2b - 4 + b + 4
⇒ P = 2a + 3a + 2a + 2b + b - b + 4 - 4 + 3
⇒ P = 7a + 2b + 3
Question: How many miles can we paddle in 1 hour at the Los Angeles river?
The river is going at 25 mph
and you are paddling at a consistent rate
Answer:
125 mph
Step-by-step explanation:
The river is going 25 mph every 20 minutes
[tex]20[/tex] [tex]minutes=25[/tex][tex]40[/tex] [tex]minutes=50[/tex][tex]60[/tex] [tex]minutes=75[/tex] [tex]80[/tex] [tex]minutes =100[/tex][tex]1[/tex] [tex]hour = 125[/tex]Therefore we can paddle 125 miles at consistent rate.
Ron runs a hot question ( need answer)
Answer:
The price of a hot dog decreases between the third and sixth month:
True
The price of a hot dog increases between the sixth and ninth month:
False
The price of a hot dog increases constantly between the ninth and twelfth month:
True
Hope this helps! If anything is wrong, feel free to comment down below so I can change my answer for future users!
Madison is designing a new board game, and is trying to figure out all the possible outcomes. How many different possible outcomes are there if she spins a spinner with three equal-sized sections labeled Walk, Run, Stop and spins a spinner with four equal-sized sections labeled Red, Green, Blue, Orange?
Answer:
12.
Step-by-step explanation:
There are 3 * 4 = 12 possible outcomes
for example
Walk / Red
Walk/Green
Walk/Blue
Walk/Orange
- and there are 4 similar outcomes for Run and Stop.
A record store has 3,108 records evenly shared among 6 rows. How many records are in each row?
Answer:
518
i don't know if this needs much explaining.
Answer:
518 records per row
Step-by-step explanation:
Divide to find out how many are in each row :
No. of records / No. of rows3,108 / 6518 records per rowWhich is not a reason an athlete uses technology to assess performance?
A. To tailor to their training program.
B. To monitor development.
C. To send to college recruiters.
D. To analyze technique.
Answer:
C.) To send to college recruiters
Step-by-step explanation:
The correct answer is C.) because this answer choice has nothing to do with assessing an athlete's performance. All of the other options involve assessing performance in some manner. An athelete's performance is directly tied to their training program, development, and technique.
8th grade distributive property equations and solutions
The value of x will be given as for the given expression X = -1
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
2x + 12 = 10
2x = 10 - 12
2x = -2
x = -1
first you distribute 2 to x and 6 which equals 2x+12=10 then you subtract 12 from 10 which equals 2x=-2 then divide -2 by 2x to see what x equals so x=-1
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about 1 2 of the population has red hair if 800 people were ramdomly sampled about how many of them would you expect to be read heads
Answer:
10-12
Step-by-step explanation:
1.5% of 800 is 12
How much water should be added to 22 ml of 12% alcohol solution to reduce the concentration to 11%
The amount of water that is needed to be added to the 12% concentration solution to make it 11% concentrated is 2 ml.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that the alcohol solution of 22 ml has a 12% of concentration. Therefore, the amount of alcohol in the solution is,
12% of 22ml = 2.64ml
Since the amount of alcohol should be the same while the concentration should be diluted, therefore, the amount of alcohol in the final solution can be written as,
[tex]11\%\ of\ x = 2.64{\rm\ ml}\\\\\dfrac{11}{100} \times x = 2.64\\\\x = 24\rm\ ml[/tex]
As the total solution with 12% concentration was 22 ml, while the total solution with 11% concentration was 24 ml.
Hence, the amount of water that is needed to be added to the 12% concentration solution to make it 11% concentrated is 2 ml.
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Determine the consumers’ surplus of the market price is set at the equilibrium price (remember that x is measured in thousands)
Answer:here the answer
Step-by-step explanation:
....
Mya bought x shirts for $14.50 each and used a $20 coupon. Which equation represents theh total amount, a, she spent?
Determine the exact value of sin 30° tan 45° + tan 30° sin 60⁰
Answer:
1.
Step-by-step explanation:
1) if sin30=0.5; tan45=1; tan30=1/√3; sin60=√3/2, then
2) 0.5+0.5=1.
−8 ≤ −3; Add 11 to both sides
The resulting inequality is:
Answer:
True, (-∞, ∞) 3 ≤ 8
Step-by-step explanation:
−8 + 11 ≤ −3 + 11
3 ≤ 8
What is the probability that a patient shows improvement
if it is known that the patient was given the drug?
Answer:
.3375
Explanation:
Total people who were given drug: 800
Total people who showed improvement: 270
Probability:
[tex]\boxed{ \sf \dfrac{favorable \ outcomes }{total \ possible \ outcomes}}[/tex]
insert values
[tex]\rightarrow \sf \dfrac{270}{800}[/tex]
simplify
[tex]\rightarrow \sf \dfrac{27}{80}[/tex]
in decimals
[tex]\rightarrow \sf 0.3375[/tex]
Answer:
d) .3375Step-by-step explanation:
let E be the event : “the patient shows improvement”
D be the event : “the patient was given the drug”
here we are in a conditional probability situation:
Let E/D be the event “a patient shows improvement ,if it is known that the patient was given the drug”
[tex]p\left( E|D\right) =\frac{p\left( E\cap D\right) }{p\left( D\right) }[/tex]
[tex]=\frac{270}{800}[/tex]
[tex]=0.3375[/tex]
V
Write 8.4% as a fraction in simplest form.
Answer:
21/250
Step-by-step explanation:
Converting percentage to fraction :
Divide by 100%8.4%/100%8.4/100Multiply both sides by 10 to remove the decimal8.4 x 10 / 100 x 1084/1000Divide both sides by 4(84/4)/(1000/4)21/250john saves N$250 the first month and every two month later increases it by N$75.how much will john save in the 12th month?
Answer:
750
Step-by-step explanation
Marci needs to rent a storage. She needs to determine the volume of the storage unit. If the storage unit is 8 feet high, what is the volume of the storage unit
Help!, Help! Brainliest Available to Best Answer!
Just find x
Answer:
x = 50°
Step-by-step explanation:
Let's make 2 equations based on the properties of the triangles :
Applying Exterior Angle Property :
x + 2∠1 = 2√2 (taking ΔABC in perspective)∠1 + 25 = √2 (taking ΔBDC in perspective)Divide equation 1 by 2 :
⇒ 1/2 (x + 2∠1) = 1/2 x (2∠2)
⇒ x/2 + ∠1 = ∠2
⇒ ∠2 - ∠1 = x/2
Similarly, rewrite equation 2 :
⇒ ∠1 + 25 = ∠2
⇒ ∠2 - ∠1 = 25
From these 2 equations, we get :
⇒ x/2 = 25
⇒ x = 25 × 2
⇒ x = 50°
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's consider the figure with two triangles,
Angle b is divided into two equal parts :
let's name each of them as y ~and similarly
Exterior angle C is divided into two equal parts :
let's name each of them z ~Now, according to exterior Angle property :
In Triangle ABC
[tex]\qquad \sf \dashrightarrow \:2y + x = 2z \: \: \: \: [/tex]
[tex]\qquad \sf \dashrightarrow \: 2z - 2y = x \: \: \: \: [/tex]
[tex]\qquad \sf \dashrightarrow \:2(z - y) = x[/tex]
[tex]\qquad \sf \dashrightarrow \:z - y = \dfrac{x}{2} \: \: \: \: \: \: \: - (1)[/tex]
and in Triangle BDC
[tex]\qquad \sf \dashrightarrow \:y + 25 = z \: \: \: \: \: \: \: [/tex]
[tex]\qquad \sf \dashrightarrow \:z - y = 25 \: \: \: \: \: \: \: - (2)[/tex]
equate equation (1) and (2) :
[tex]\qquad \sf \dashrightarrow \: \dfrac{x}{2} = 25[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}{} = 25 \times 2[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}{} = 50 \degree[/tex]
An aircraft is timetabled to travel from A to B. Due to bad weather it flies from A to C then from C to B, where AC and CB make angles of 27° and 66° respectively with AB. If |AC| = 220 km, calculate |AB|.
Answer:
|AB| = 240 km
Step-by-step explanation:
Finding ∠C :
⇒ 27° + 66° + ∠C = 180°
⇒ ∠C = 180° - 93°
⇒ ∠C = 87°
Applying the Law of Sines :
⇒ sin 66° / 220 = sin 87° / AB
⇒ 0.913545458 / 220 = 0.998629535 / AB
⇒ AB = 220/0.913545458 x 0.998629535
⇒ AB = 240.819981 x 0.998629535
⇒ AB = 240.489946
⇒ |AB| = 240 km (nearest whole kilometer)
Answer:
|AB| = 240 km (nearest km)
Step-by-step explanation:
Draw a sketch with the given information (attached).
Calculate the missing angle (shown in red on the attached diagram).
Given:
∠CAB = 27°∠CBA = 66°The interior angles of a triangle sum to 180°
⇒ ∠ACB + ∠CAB + ∠CBA = 180°
⇒ ∠ACB + 27° + 66° = 180°
⇒ ∠ACB = 180° - 27° - 66°
⇒ ∠ACB = 87°
Use Sine Rule for sides to calculate |AB|:
[tex]\sf \dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
[tex]\implies \sf \dfrac{|AB|}{\sin ACB}=\dfrac{|AC|}{\sin CBA}[/tex]
[tex]\implies \sf \dfrac{|AB|}{\sin (87^{\circ})}=\dfrac{220}{\sin (66^{\circ})}[/tex]
[tex]\implies \sf |AB|=\dfrac{220\:\sin (87^{\circ})}{\sin (66^{\circ})}[/tex]
[tex]\implies \sf |AB|=240.4899459...[/tex]
[tex]\implies \sf |AB|=240\:km\:(nearest\:km)[/tex]
A. 23.7
B. 11.2
C. 9.5
D. 57.3
E. 30.0
F. 6.0
Answer:
c.9.5
Step-by-step explanation:
im awesome so so very
Hello everyone!!
This is easy;
[tex] \frac{5x}{2} + \frac{9}{5} = 25[/tex]
[tex] \frac{5x}{2} + \frac{9}{5} = 25 \\ \frac{25x + 18}{10} = 25 \\ 25x + 18 = 250 \\ \frac{250 - 18}{25} = x \\ x = \frac{232}{25} [/tex]
hope it helps
Please refer to the attachment
the table represent a function? Why or why not?
A. Yes, because every x-value corresponds to exactly one y-value.
B. No, because the y-values are positive.
C. Yes, because there are different y-values.
D. No, because one x-value corresponds to two different y-values.
Answer:
D is the answer I'm pretty sure
Step-by-step explanation:
6 has to y values
a bottle contains 2 1/2 cups of apple juice a serving of apple juice is 1/2 cup how many servings does the bottle contain
By applying aritmethics and concept of capacity we conclude that the bottle containing 2 1/2 cups of apple juice contains 5 servings containing 1/2 cups each.
How to determine the quantity of servings from a bottle
In this question we are dealing with capacities, capacities are an application of volumes. A bottle contains a capacity equivalent to a given quantity of cups. The number of cups is found by dividing the capacity of a bottle by the capacity of a serving:
[tex]x = \frac{\frac{5}{2}\,cups}{\frac{1}{2}\,cups }[/tex]
x = 5
By applying aritmethics and concept of capacity we conclude that the bottle containing 2 1/2 cups of apple juice contains 5 servings containing 1/2 cups each.
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