Answer:
No Solution
Step-by-step explanation:
2x - 1 = 2x + 3 Combine the like terms.
0 = 4 Sine this mathematical statement is false (i.e. 0 is not equal to 4), no value of x would satisfy the equation. So there is no solution.
In order for a quadratic to have a vertical compression, what can be said of the a control
value
Answer:
The function will have a vertical compression when 0 < α < 1
Step-by-step explanation:
The vertex form of a quadratic function showing the factors of the transformation of the function, is presented as follows;
[tex]f(x) = a \cdot \left(\dfrac{x}{c} - h \right)^2 + k[/tex]
The vertical scaling of the function (compression and stretching) is given by the value of the α control coefficient
A vertical stretch occurs when α > 1, while a vertical compression occurs when 0 < α < 1
Therefore, in order for a quadratic function to have a vertical compression, 0 < α < 1.
Which expression(s) represent(s) the perimeter of the following figure? Select all that apply. (answers are in units)
Perimeter = the sum of the outer sides
#1. P = (2x + 3) + (2x + 3) + (5x - 1) + (5x - 1) + (x - 7)
#2. P = 2(2x + 3) + 2(5x - 1) + (x - 7)
#3. P = 4x + 6 + 10x - 2 + x - 7
#4. P = 15x - 3
A. Correct - equivalent to #2
B. Incorrect - does not include all of the sides
C. Correct - equivalent to #1
D. Incorrect
E. Incorrect
F. Correct - equivalent to #4
Hope this helps!
Answer:
A, C, F.
Step-by-step explanation:
Answers A, C, and F are all equal and represent the perimeter of the shape.
There are 2 sides that are (2x+3) and (5x-1) in size and 1 side that is (x-7) in size.
can somebody please help meee??
Answer: d. He multiplied when he was supposed to divide
Step-by-step explanation:
He just multiplied across when he was supposed to divide (or cross multiply) to find the unit rate :)
URGENT
really need help
Answer:
Step-by-step explanation:
.007 = 7 x [tex]10^{-3}[/tex]
.07 = 7 x [tex]10^{-2}[/tex]
7 = 7 x [tex]10^{0}[/tex]
700 = 7 x [tex]10^{2}[/tex]
Sat prep find the value of x in each of the following exercises
Answer:
155°Step-by-step explanation:
Consider straight line and complementary angle properties and use following equation:
(90° - (180° - x)) = 180° - (60° + (90° - 35°)) x - 90° = 180° - (60° + 55°)x = 90° + 65°x = 155°Answer:
x=115 degrees
Step-by-step explanation:
I need help with Trigonometric Ration
The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.
The trigonometry ratios for a specific angle ‘θ’ is given below:
Trigonometric Ratios
Sin θ Opposite Side to θ/Hypotenuse
Cos θ Adjacent Side to θ/Hypotenuse
Tan θ Opposite Side/Adjacent Side & Sin θ/Cos θ
Cot θ Adjacent Side/Opposite Side & 1/tan θ
Sec θ Hypotenuse/Adjacent Side & 1/cos θ
Cosec θ Hypotenuse/Opposite Side & 1/sin θ
Note: Opposite side is the perpendicular side and the adjacent side is the base of the right-triangle. Also, check out trigonometric functions to learn about each of these ratios or functions in detail.Trigonometric Identities
Definition
Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
The three sides of the right triangle are:
Hypotenuse (the longest side)
Perpendicular (opposite side to the angle)
Base (Adjacent side to the angle)
Write 1/16 using negative exponents.
Step-by-step explanation:
[tex] \frac{1}{16} = {2}^{ - 4} [/tex]
Answer:
2^-4
Step-by-step explanation:
16 = 2^4
1/16 = 1/2^4
We know 1/a^b = a^-b
1/2^4 = 2^-4
A waffle cone has a height of 10 centimeters and a diameter of 6 centimeters. To the nearest tenth of a cubic centimeter, approximately how much ice cream will the waffle cone hold?
Answer:
94.2 cm^3.
Step-by-step explanation:
Volume of a cone = 1/3πr^2h
The radius of the cone = 1/2 * 6 = 3
So here the volume is:
1/3 * π * 3^2 * 10
= 94.247
divide a sum of rs 1110 between A,B and C so that for every rs 8 given to A,B may get Rs 5 and for every Rs 7 given to B ,C may get rs 4
In this question, an amount is divided between three parts. From this, relations between the variables are used to find the amount corresponding to each part.
Sum of 1110 between A, B and C:
This means that:
[tex]A + B + C = 1110[/tex]
For every rs 8 given to A,B may get Rs 5
This means that:
[tex]\frac{A}{B} = \frac{8}{5}[/tex]
And thus:
[tex]5A = 8B[/tex]
[tex]A = \frac{8B}{5}[/tex]
For every Rs 7 given to B ,C may get rs 4
This means that:
[tex]\frac{B}{C} = \frac{7}{4}[/tex]
And thus:
[tex]7C = 4B[/tex]
[tex]C = \frac{4B}{7}[/tex]
Amount of B:
Replacing into the original equation:
[tex]A + B + C = 1110[/tex]
[tex]\frac{8B}{5} + B + \frac{4B}{7} = 1110[/tex]
[tex]\frac{56B + 35B + 20B}{35} = 1110[/tex]
[tex]111B = 1110*35[/tex]
[tex]B = \frac{1110*35}{111}[/tex]
[tex]B = 350[/tex]
Amounts of A and C:
A and C are given as functions of B, so:
[tex]A = \frac{8B}{5} = \frac{8*350}{5} = 560[/tex]
[tex]C = \frac{4B}{7} = \frac{4*350}{7} = 200[/tex]
Thus:
The amount given to A is of Rs 560, to B is of Rs 350 and to C is of Rs 200.
For another problem involving divisions given ratios, you can check https://brainly.com/question/23857756.
A, B and C receive RS. 560, RS. 350 and RS. 200, respectively.
In this problem, we must translate the sentences into mathematical expression. Please notice that systems of linear equations are resoluble if the number of formulas equals the number of variables. In other words, we must have three linear equations for three variables:
1) Divide a sum of RS 1110 between A, B, C:
[tex]a + b + c = 1110[/tex] (1) Var: 3, Eqs: 1
2) So that for every RS 8 give to A, B may get RS 5:
[tex]\frac{a}{b} = \frac{8}{5}[/tex]
[tex]5\cdot a - 8\cdot b = 0[/tex] (2) Var: 3, Eqs: 2
3) And for every RS 7 given to B, C may get RS 4:
[tex]\frac{b}{c} = \frac{7}{4}[/tex]
[tex]4\cdot b -7\cdot c = 0[/tex] (3) Var: 3, Eqs: 3
Now we solve the resulting system, the solution set of the system is:
[tex]a= 560[/tex], [tex]b = 350[/tex], [tex]c = 200[/tex]
A, B and C receive RS. 560, RS. 350 and RS. 200, respectively.
use the ratio of a 45-45-90 triangle to solve for the variables
Answer:
1:1:√ 2
Step-by-step explanation:
Answer:
u = 14
v = 14
Step-by-step explanation:
since both angles around the 90 degree angle are the same, also the sides need to be of equal length. v = u
so, we can use Pythagoras
(14×sqrt(2))² = u² + u² = 2u²
196×2 = 2u²
196 = u²
u = 14 = v
Find a pattern for the sequence. Use the pattern to show the next two terms.
AL, AK, AZ, AR, CA, ...
Choose the correct answer below.
СT, CO
CO, DE
CO, CT
DE, FL
============================================
Explanation:
These are state abbreviations
AL = AlabamaAK = AlaskaAZ = ArizonaAR = ArkansasCA = CaliforniaCO = ColoradoCT = ConnecticutDE = DelawareFL = FloridaSince the given sequence is "AL, AK, AZ, AR, CA", and the states are listed alphabetically so far (in terms of the two letter abbreviations), then the next two would be CO and CT in that order.
17) Hector can deliver 30 papers in 20 minutes on his motor bike. How many papers can Hector deliver?
18) Linda is getting married today and her bouquet has three white roses in it, representing 15% of the total flowers in the bouquet. how many flowers are there in all of Linda's bouquet ?
19) write the expression using exponents that is equal to 5x5x5x5?
Answer:
17) You need a time line for question.
18) 100
19) 5 to the 4th power
Could someone answer this for me pleasee
Answer:
4 and 6.2
Step-by-step explanation:
ABC=sqrt(2.4^2+3.2^2)=4
ABD=sqrt(2.4^2+3.2^2+4.8^2)=6.2
what's the formula of
(a+b)³ = ?
Answer:
(a+b)³=a³+3a²b+3ab²+b³
Answer:
Step-by-step explanation:
Hello!
(a+b)(a+b)(a+b)
(a+b)(a+b) = a²+2ab + b²
(a²+2ab + b²) (a+b)=
a³ + a²b + 2a²b + 2ab² + ab² + b³ =
a³ + b³ + 2a²b + 2ab² + ab² + a²b
Please help out explanation need it
Answer:
SinA= BC/AC=20/55
SinA=4/11
A=Sin^-1(4/11)
A=Sin^-1(0.36)
LA=21.1 ← ans
OAmalOHopeO
Instructions: Find mFG.
F
?
G
55°
Answer:
110°
Step-by-step explanation:
mFG = 2×<FEG = 2×55 = 110°
Answered by GAUTHMATH
The value of the angle or periphery FG will be 110°.
What is a circle?A circle is a geometric shape that is created by drawing a point in an orbit around a fixed point while maintaining a fixed distance.
The longest line which can be drawn inside the circle will be the diameter.
Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.
By the circle theorem;
According to the theorem, an angle within a circle is half of the center angle within the circle that subtends the same arc.
Given the ∠FEG = 55°
So angle FG = 2 × ∠FEG
angle FG = 2 × 55° = 110°
Hence angle FG will be 110°.
To learn more about the circle,
https://brainly.com/question/266951
#SPJ2
need help with this!!
1. The position of a particle moving along a coordinate axis is given by: s(t) = t^2 - 5t + 1. a) Find the speed of the particle b) Find the acceleration of the particle c) Find the velocity of the particle
Answer: [tex]\left | 2t-5\right |,\ 2,\ 2t-5[/tex]
Step-by-step explanation:
Given
Position of the particle moving along the coordinate axis is given by
[tex]s(t)=t^2-5t+1[/tex]
Speed of the particle is given by
[tex]\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=\left | 2t-5\right |[/tex]
Acceleration of the particle is
[tex]\Rightarrow a=\dfrac{dv}{dt}\\\\\Rightarrow a=2[/tex]
velocity can be negative, but speed cannot
[tex]\Rightarrow v=\dfrac{ds}{dt}\\\\\Rightarrow v=\dfrac{d(t^2-5t+1)}{dt}\\\\\Rightarrow v=2t-5[/tex]
Please help its urgent:
11. A fish tank has dimensions 3 feet by
2 feet by 1.5 feet. Two feet is the
height of the aquarium. If the tank is
not filled all the way and there are
two inches of empty space at the top,
how many cubic inches of water are
in the tank? (7 points) im not sure how to show my work
Question : A map of the city is made using the scale 1 cm = 18 m. If the park in the city is 90 m long,
what is its length in the map?
Answer:
5 cm
Step-by-step explanation:
We can use a ratio to solve
1 cm x cm
------- = ---------
18 m 90 m
Using cross products
1 * 90 = 18x
Divide each side by 18
90/18 = 18x/18
5 =x
5 cm
[tex]\bf \large \longrightarrow \: \frac{1}{18} \: \times \: \frac{x}{90} \\ [/tex]
Now , Cross Multiplying[tex]\bf \large \longrightarrow \: \: 18x \: = \: 90[/tex]
[tex]\bf \large \longrightarrow \: \:x \: = \: \frac{90}{18} \\ [/tex]
[tex]\bf \large \longrightarrow \: \:x \: = \: \cancel\frac{90}{18} \: ^{5} \\ [/tex]
[tex]\bf \large \longrightarrow \: \:x \: = \: 5[/tex]
Hence , the length of map is 5 cm.
Jeremy has $120 in his saving account. Katie had $180 in her account. Each week Jeremy adds $14.00 to his account and Katie adds $10 to her. How many weeks before Jeremy and Katie have the same amount of money saved up
Answer:
15 weeks
Step-by-step explanation:
Let the number of weeks = x.
At the end of x weeks,
Jeremy has 120 + 14x,
and Katie has 180 + 10x
We want to know when their amounts are equal.
120 + 14x = 180 + 10x
4x = 60
x = 15
Answer: 15 weeks
Answer:
15 weeks
Step-by-step explanation:
One is given the following information:
Jeremy
Starts with $120Adds $14 every week to his accountKatie
Stars with $180Adds $10 every week to her accountLet the parameter (x) represent the number of weeks passed. Parameter (y) is the amount in the account, (S) represents the amount in the account to start with and (A) represents the amount added to the account every week. One can use the following general equation to represent the situation:
y = S + Ax
Substitute the given information into the equation for each person:
Jeremy: y = 120 + 14x
Katie: y = 180 + 10x
One is asked to find the point in time when the two account have the same amount of money. Therefore, set the two equations equal to each other and solve:
y = 120 + 14x = 180 + 10x
Inverse operations,
120 + 14x = 180 + 10x
4x = 60
x = 15
15 weeks will pass before Katie and Jeremy have the same amount of money in their accounts.
The average weight of 50 teachers is 46kg. If the average weight of gents teachers is 50kg and the average weight of ladies teachers is 40 kg, what is the number of ladies and gents teachers,
Answer:
20 ladies
30 gents
Step-by-step explanation:
Let :
x = number of ladies
50 - x = number of gents
total weight of the ladies = 40x
total weight of the gents = 50(50 - x) = 2500 - 50x
Average weight : (40x +2500 - 50x) / 50 = 46
cross multiply
2500 - 10x = 2300
combine like terms
2500 - 2300 = 10x
200 = 10x
x = 20 = number of ladies
Number of men = 50 - 20 = 30
For the right triangle shown, use the trig functions to find the value of x. Round your answer to the nearest tenth
Answer:
28.3
Step-by-step explanation:
Use the Tangent
Tan(theta) = opposite over adjacent.
opposite (defined as the line that does not make up the angle) = 17
Theta = 31
adjacent (one of the lines making up the angle) = x
Tan(31) = 0.6009
Tan(31) = 17/x Multiply both sides by x
x*tan(31) = 17 Divide by tan 31
x = 17/tan31
x = 17 / 0.6009
x = 28.29
Rounded to the nearest 1/10 is 28.3
PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!PLEASE HELP!!!
So here, for basically any quadratic function, the domain is: [tex]x \in \mathbb{R}[/tex].
Now right off the bat, that means C and D are out.
Also, since this graph has a negative sign in front of the x^2, that means it is facing downwards and so it has a maximum. The only option that leaves us with is A.
Help anyone can help me do this question,I will mark brainlest.
Answer:
11. 40.5
12. 84
Step-by-step explanation:
Tamanika got a raise in her hourly pay, from $15.50 to $17.85. Find the percent increase. Round to the nearest tenth of a percent.
Answer:
13.2%
or 115.2%
Step-by-step explanation:
hope it's correct. lemme know which one is correct
According to the graph, is f even, odd, or neither(pic provided)?
Answer:
Hello,
Step-by-step explanation:
Since for all real x, f(x)=-f(x),
the function is odd.
Find the shortest side of a triangle whose perimeter is 64 if the ratio of two of its sides is 4:3 and the third side is 20 less than the sum if the other two
Answer:
The shortest side of the triangle is 18
Step-by-step explanation:
Let the sides the triangle be x, y and z.
From the question, the perimeter of the rectangle is 64, that is
x + y + z = 64 ...... (1)
Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)
The third side, z, is 20 less than the sum of the other two, that is
z + 20 = x + y ...... (3)
Substitute equation (3) into (1)
Then,
z + 20 + z = 64
2z +20 = 64
2z = 64 - 20
2z = 44
z = 44/2 k
z = 22
From equation (3)
z + 20 = x + y
Then, k
22 + 20 = x +y
42 = x + y
x = 42 - y ...... (4)
Substitute this into equation 2
3x = 4y
3(42-y) = 4y
126 - 3y = 4y
4y + 3y = 126
7y = 126
y = 126/7
y = 18
Substitute this into equation (4)
x = 42 - y
x = 42 - 18
x = 24
∴ x = 24, y = 18 and z = 22
Hence, the shortest side of the triangle is 18.
What is the period of the graph of y=1/2 sin (2πx) -3?
A. 1
B. 1/2
C. 3
D. 2π
Answer:
A. 1
Step-by-step explanation:
Since this graph is in the form A sin (B(x+c))+d, where
the amplitude is the absolute value of AThe period is 2pi/BPhase Shift is CMidline is y=DTherefore, the values are
A=1/2
B=2pi
C=0
D=-3
So the period is 2pi/2pi which is 1.
Can someone give me the answer asap thanks.
D. 2x⁶y²
This is the equivalent expression.