Answer:
Domain: (-2, 2]
Range: (-5, 4]
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x)Interval Notation: [Brackets] denote inclusion and (Parenthesis) denote exclusionStep-by-step explanation:
According to the graph, we see that our x values span from -2 to 2. Since -2 is an open dot and 2 is a closed dot, they are exclusive and inclusive, respectively:
(-2, 2] or -2 < x ≤ 2
According to the graph, we see that our y values span from -5 to 4. Since -5 is an open dot and 4 is a closed dot, they are exclusive and inclusive, respectively:
(-5, 4] or -5 < y ≤ 4
17. DEFG is a square. Find the value
of x.
Answer:
x = 3
Step-by-step explanation:
All the angles of a square are 90°
The diagonals bisect the angles , then
5x² = 45 ( divide both sides by 5 )
x² = 9 ( take the square root of both sides )
x = [tex]\sqrt{9}[/tex] = 3
Instructions: Find the missing side. Round your answer to the nearest tenth.
54°
29
Answer:
x = 23.5
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 54 = x / 29
29 sin 54 = x
x=23.46149
To the nearest tenth
x = 23.5
Solve the inequality: (x −3)12+ 2 ≥4
Question 14 options:
A)
x ≥ 35
B)
x ≥ 13
C)
x ≥ 11
D)
x ≥ 7
Answer:
Its c
Step-by-step explanation:
What is the length of leg s of the triangle below?
45
32
907
4
O A. 16
B. 32
OC. VA
D. 22
E. 4
F. 1.5
SOM
The question is not well formatted. A ell formatted version of the question type is attached and solved below :
Answer:
10
Step-by-step explanation:
Using trigonometry :
Taking the angle 45°
From trigonometry :
Sin θ = opposite / hypotenus
Opposite = s ; hypotenus = 10√2
Sin 45 = s / 10√2
Recall :
Sin 45 = 1/√2
We have ;
1/√2 = s / 10√2
s = 10√2 * 1/√2
s = 10√2 / √2
s = 10
In the diagram, which two angles are corresponding angles with angle 12?
Answer:
∠8 and ∠16.
Step-by-step explanation:
Given the diagram we have to find the angles which are corresponding angles with ∠12. Those angles which are on the same side of traversal called corresponding angles. By definition of corresponding angles the angles which are corresponding to ∠12 are ∠8 and ∠16.
Penelope earned $50 in May. She earned $60 in June.
What is the percent increase or decrease in Penelope's monthly earnings?
O A. 30% decrease
O B. 25% increase
O C. 20% decrease
O D. 20% increase
Answer:
20% Increase
Step-by-step explanation:
Percentages can be put vice versa. So 20% Of 50 = 50% Of 20 Which Equals 10.
Mark me as brainliest please
The volume of a gas in a container varies inversely with the pressure on the gas. If a gas has a volume of 450 cubic inches under a pressure of 3 pounds per square inch, what will be its volume if the pressure is increased to 5 pounds per square inch
Answer: [tex]270\ in.^3[/tex]
Step-by-step explanation:
Given
Volume of a gas varies inversely with pressure i.e.
[tex]V\propto \dfrac{1}{P}\\\\PV=\text{constant}[/tex]
Initially, [tex]V_1=450\ in.^3,P_1=3\ psi[/tex]
Then, pressure increases to [tex]P_2=5\ psi[/tex]
[tex]\therefore P_1V_1=P_2V_2\\\Rightarrow 3\times 450=5\times V_2\\\Rightarrow V_2=3\times 90\\\Rightarrow V_2=270\ in.^3[/tex]
Thus, volume decreases to [tex]270\ in.^3[/tex].
What is the slope of a trend line that passes through the points (1, 3) and (10, 25)?
Negative StartFraction 15 Over 2 EndFraction
Negative one-half
StartFraction 22 Over 9 EndFraction
StartFraction 24 Over 7 EndFraction
Answer:
[tex]\displaystyle m = \frac{22}{9}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (1, 3)
Point (10, 25)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{25 - 3}{10 - 1}[/tex]Subtract: [tex]\displaystyle m = \frac{22}{9}[/tex]Answer:
c
Step-by-step explanation:
Reading list
All changes saved
8. The two diagonals of a parallelogram meet at a 60° angle. The diagonals are 10 cm and 6 cm long. Find the lengths of the sides of the parallelogram.
Target due: 1/14/22 52% 5
10 cm
0 14 cm, 8.7 cm
4.4 cm, 2.8 cm
CLASS INFO
O 4.4 cm, 4.4 cm
7 cm, 4.4 cm
818-572-
ak:
tnp-
2 01:15:20
9514 1404 393
Answer:
7 cm, 4.4 cm
Step-by-step explanation:
The side lengths can be found from the law of cosines. Each triangle has legs 3 cm and 5 cm. The angle between these will be 60° or 120°. Then the two sides of the parallelogram are ...
s = √(a² +b² -2ab·cos(C))
s = √(3² +5² -2·3·5·(±1/2)) = √(34 ±15) = {√49, √19}
The two side lengths are 7 cm and about 4.4 cm.
Please hurry I will mark you brainliest
Question’s Picture included*
Answer:
when you have 32 pennies the total mass will be 185
What is the measure of n
Answer:
Step-by-step explanation:
This is a geometric means problem. Namely, n is the geometric mean between the 2 smaller triangles within that larger one. Set up the problem accordingly:
[tex]\frac{28}{n}=\frac{n}{7}[/tex] and cross multiply:
[tex]n^2=196[/tex] so
n = 14
What is the simplified form of V 100x35 ?
Answer:
answer is 3500.
answer is 3500
answer is 3500
Given the following coordinates the glide reflection transformation
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
A (4, 2 ) → A' (4, - 2 )
B (7, 0 ) → B' (7, 0 )
C (9, 3 ) → C' (9, - 3 )
A translation of a shift to the left of 3 units is a horizontal shift.
This means subtracting 3 fro the x- coordinate and leaving the y- coordinate
A' (4, - 2 ) → A'' (4 - 3, - 2 ) → A'' (1, - 2 )
B' (7, 0 ) → B'' (7 - 3, 0 ) → B'' (4, 0 )
C' (9, - 3 ) → C'' (9 - 3, - 3 ) → C'' (6, - 3 )
Which number line shows the solution set for StartAbsoluteValue 8 minus 2 p EndAbsoluteValue = 6?
A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7.
A number line going from negative 4 to positive 4. Points are at negative 1 and positive 1.
A number line going from negative 8 to positive 8. Points are at negative 7 and positive 7.
A number line going from negative 7 to positive 1. Points are at negative 7 and positive 1.
Answer:
A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7.
Step-by-step explanation:
We have the equation:
|8 - 2*p| = 6
Remember that the equation:
|f(x)| = A
with A > 0
means that:
f(x) = A
or
f(x) = -A
Then for our case, we can rewrite:
|8 - 2*p| = 6
as:
(8 - 2*p) = 6
or
(8 - 2*p) = -6
Now we can solve these two equations to find the two possible values of p.
From the first one, we get:
8 - 2*p = 6
8 - 6 = 2*p
2 = 2*p
2/2 = p = 1
so one solution is p = 1
Now from the other equation, we can get the other solution:
(8 -2*p) = -6
8 - 2*p = -6
8 + 6 = 2*p
14 = 2*p
14/2 = p = 7
So the two solutions are p = 1 and p = 7
Then the correct option is:
"A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7."
A physical therapist has 2400 minutes available for patients next week,
Patients have already made appointments for 1490 minutes. If the variable p
stands for the time the physical therapist has left, which units could apply to
that variable?
Answer: 910 minutes
Step-by-step explanation:
Since the physical therapist has 2400 minutes available for patients next week, and the patients have already made appointments for 1490 minutes, then the time that the physical therapist has left will be:
p + 1490 = 2400
p = 2400 - 1490
p = 910
Therefore, the physical therapist will have 910 minutes left
WILL GIVE BRAINLIEST. Given: SLant Prism, m
Hi! I ran into a similar problem so i will try, but sorry if i get it wrong, so basically all you do i
hello help please
Express
[tex] \frac{3}{5} [/tex]
of a right angle triangle to radian measure and can some anybody help me by looking one old question from my profile help please
a right angle is 90°, or 1/4 of a circle.
3/5 * 1/4 = 3/20
radian measure is the length of the circumference of this part of the circle.
a full circumference of a circle would be 2*pi*r, also expressed as 2 rad * r
now let's multiply the full thing with the 3/20 from earlier to just get the desired fraction:
6/20 rad * r
= 3/10 rad * r
of course a solution in cm or inch still depends on the radius here, wich could be just plugged in at will
Answer:
[tex]\frac{3\pi }{10}[/tex]
Step-by-step explanation:
To express degrees in radians
radian measure = degree measure × [tex]\frac{\pi }{180}[/tex]
[tex]\frac{3}{5}[/tex] of a right angle
= [tex]\frac{3}{5}[/tex] × 90° = 54° , then
radian = 54 × [tex]\frac{\pi }{180}[/tex] = [tex]\frac{54}{180}[/tex] × π = [tex]\frac{3}{10}[/tex] × π = [tex]\frac{3\pi }{10}[/tex]
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your
answers as radicals in simplest form.
Answer:
x = 10
y = 5
Step-by-step explanation:
Applying Trigonometry ratio
sin∅ = opposite/hypotenuse
cos∅ = Adjacent/hypotenuse
From the diagram,
sin60° = 5√3/x
make x the subject of the equation
x = 5√3/sin60°
But, sin60° = √3/2
x = 5√3/(√3/2)
x = (5√3)(2/√3)
x = 10.
Also, applying
cos60° = y/x
Where x = 10, cos60° = 1/2
y = xcos60°
y = 10(1/2)
y = 5
10 points please help im confused
What is the volume of the prism?
103.8 cubic inches
114.9 cubic inches
140.6 cubic inches
110.5 cubic inches
Answer:
110.5 cubic inches
Step-by-step explanation:
Base is parallelogram, so area is
A = 4.7×5 = 23.5
Height(h) is 4.7, so volume is,
V = A×h
= 23.5×4.7
= 110.45 ≈ 110.5
Answered by GAUTHMATH
Meg initially has 3 hours of pop music and 2 hours of classical music in her collection. Every month onwards, the hours of pop music in her collection is 5% more than what she had the previous month. Her classical music does not change. Which function shows the total hours of music she will have in her collection after x months
Answer:
The answer is "[tex]f(x) = 3(1.05)x + 2[/tex]".
Step-by-step explanation:
She starts off with 3 hours with pop music.
Next month, she will have 3 hours she has had and + 3*0.05.
3hrs + 3*0.05hrs = 3*1.05 hrs
We add 2 hours of classical music to the 3 * 1.05 hours to achieve 3 * (1.05) hours + 2 hours of classical music.
Answer: f(x):2(0.05)^x+3
can i get some help please
Answer:
66 degrees
Step-by-step explanation:
The value of an external angle is the sum of the other two angles of the triangle of which that external triangle is sharing with.
This means that angle 4, or 123 is equal to angle 1 plus angle 3, which is 57 degrees.
We have this equation:
[tex]x+57=123[/tex], where x is the value of angle 1.
Subtracting 57 from both sides, we have
[tex]x = 66[/tex]
f(x)=−4x
2
+5x
\text{Find }f(6)
Find f(6)
Answer:
-114
Step-by-step explanation:
f(x) = -4x^2 +5x
Let x = 6
f(6) = -4(6)^2 +5(6)
= -4(36) +30
- 144+30
= -114
how many weeks are there in 504 hours
Answer:
26297.4 weeks
Step-by-step explanation:
hope it will help u
please mark me brillient
Simplify 6 - (-2) - 3(-5).
-11
-7
19
23
Answer:
23
Step-by-step explanation:
6-(-2)-3(-5)
you first have to multiply the signs
a negative×a negative is a positive.positive times negative is negative, positive times positive is positive.
so for this question
6+2+15
23
I hope this helps
What quadratic formula do I need to use to solve 3x(x+6)=-1
Answer:
[tex]\Large \boxed{x_1=\frac{9+\sqrt{51} }{3} \ \ ; \ \ x_2=\frac{9-\sqrt{51} }{3} }[/tex]
Step-by-step explanation:
[tex]\displaystyle \Large \boldsymbol{} 3x(x+6)=-10 \\\\3x^2+18x=-10 \\\\3x^2+18x+10=0 \\\\D=324-120=204 \\\\ x_{1;2}=\frac{18\pm2\sqrt{51} }{6} =\frac{9\pm\sqrt{51} }{3}[/tex]
I just need the number can anyone give me them please ???
Answer:
here are the points (0,-6), (-2,1), (2,2), (6,3)
Step-by-step explanation:
you just use the rise over run rule, which means that the top number is the rise and the bottom number is the run. In this case the rise is 1 and the run is 4. So, you would move up one space then move 4 spaces to the right, but because the graph is cut off you can reverse it and it would be the same thing, it would just be in a different area of the graph. So you go, down 1 and left 4 instead. hope this helps :)
I need the answer to his question soon, please help!
Answer:
b=x+1
Step-by-step explanation:
The equation is:
[tex]2x^2}+x-1=\frac{1}{2} b(4x-2)[/tex]
Isolate b by subtracting and dividing.
You end up with b= x+1
pls look at the image and solve all.
Answer:
Solution of question number 23
Step-by-step explanation:
Given,
5a - 12
= 5 × 12
= 15 - 12
= 3 answer
Please help me this on the picture
Answer:
Step-by-step explanation:
A plane flies from London to Dubai and to Colombo. it leaves London at 01:50 and the total journey takes 13 hours and 45 minutes. The local time in Colombo is 7 hours ahead of London. Find the arrival time in Colombo
Answer:
11:35
Step-by-step explanation:
add 13 hour and 45 minutes to 1:50 giving you 4:35 and since the time is 7 hours ahead add another 7 hours and tada
The arrival time in Colombo is 10:35 pm.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Now, First, we need to convert 13 hours and 45 minutes to just hours.
We can do this by dividing the minutes by 60:
45 minutes ÷ 60 = 0.75 hours
So the total flight time is,
13 + 0.75 = 13.75 hours.
Next, we need to add the time difference between London and Colombo. Since Colombo is 7 hours ahead of London, we need to add 7 hours to the total flight time:
13.75 hours + 7 hours = 20.75 hours
Now we need to convert this to a time.
Since the flight left at 01:50, we can add 20 hours and 45 minutes to find the arrival time in Colombo:
01:50 + 20:45 = 22:35
So, the arrival time in Colombo is 10:35 pm.
Learn more about the addition visit:
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