Answer:
The value of A is 3.
Step-by-step explanation:
In order to determine the value of A if the point (6,5) belongs to that linear relation, we need to apply the coordinates for that point on the equation and solve it for A. This is shown below:
A*x - 4*y + 2 = 0
A*(6) - 4*(5) + 2 = 0
6*A -20 + 2 = 0
6*A - 18 = 0
6*A = 18
A = 18 / 6
A = 3
The value of A is 3.
Given the function f(x)=7x-4 find f(3)
Answer:
17
Step-by-step explanation:
f(x)=7(3)-4 Distributive Property
f(x)=21-4 Subtract
f(x)=17
The value of f(3) is 17
what is function?Function, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.
Given:
f(x)=7x-4
Now for x=3
f(3)= 7*3-4
=21-4
=17
Hence, the value of function is 17.
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Emily is training for a 10K race. On day one, she runs for 20 minutes. On day two, she runs for 30 minutes. On day three, she runs for 40 minutes. If this pattern continues, how many minutes will she run on day 12?
Answer:
130
Step-by-step explanation:
:0
Point A (-6,8) and Point B (6,-7)
Answer:
[tex]\displaystyle \text{Midpoint} = \boxed{ \displaystyle \bigg(0,\frac{1}{2} \bigg) }[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Coordinate Plane
Coordinates (x, y)Midpoint Formula:
[tex]\displaystyle \bigg(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2} \bigg)[/tex]
Step-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle\text{Point A} (-6, 8) \\\text{Point B} (6, -7) \\\begin{aligned}x_1 & = -6 \\x_2 & = 6 \\y_1 & = 8 \\y_2 & = -7 \\\end{aligned}[/tex]
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find the midpoint:
[Midpoint Formula] Substitute in coordinates:∴ we have found the midpoint of the line segment AB.
___
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___
Topic: Algebra I
[tex]\huge\underline\mathcal{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
Given - two points A ( -6 , 8 ) and B ( 6 , -7 )To calculate - mid point of the line joining points A and B.let the mid point be named P ( x , y )
Now ,
By Mid Point Formula ,
[tex]\bold{P(x,y) = ( \frac{ x_{1} + x_{2} }{2} \: , \: \frac{ y_{1} + y_{2}}{2} )} \\ [/tex]
According the the Question , we get to know that
[tex]\bold{x_{1} = - 6 \: \: \: , \: \: \: x_{2} = 6} \\ \\\bold{ y_{1} = 8 \: \: \: , \: \: \: y_{2} = - 7}[/tex]
Substituting the values in the mid point formula ,
[tex]\bold{P(x,y) = ( \frac{ - 6 + 6}{2} \: \: , \: \: \frac{8 + ( - 7)}{2} )} \\ \\ \bold{\implies \: P(x,y) = ( \frac{0}{2} \: \: , \: \: \frac{1}{2} )} \\ \\ \bold{\implies \: P(x,y) = (0,0.5)}[/tex]
hope helpful ~
please help immediately very confused
Answer:
4.5
Step-by-step explanation:
162/360=0.45
0.45*10=4.5
Answer:
4.5units
Step-by-step explanation:
arc length's formula:2πr(∆/360)
remember, 2πr: circumference of a circle:
10units according to diagram.
∆=162°
using formula, 10(162°/360)
10*162/360 : 162/36
:4.5 units.
The length of a rectangular plot is expressed as x²m and the breadth is xm if the area of the rectangular plot is 5832sqcm then find it's length and breadth
Answer:
Length = x^2 = 0.835^2 = 0.698 m = 69.8cm
Breadth = x = 0.835 m = 83.5cm
Step-by-step explanation:
Given;
Length of the rectangular plot l = x^2 m
Breadth b = x m
Area A = 5832 cm^2 = 0.5832 m^2
(They should be converted to the same units before solving: length in metres and area in square metres)
The area of a rectangular plot can be calculated using the formula;
Area = length × breadth
A = l × b
Substituting the values of l and b;
A = x^2 × x
A = x^3
Substituting the value of A;
0.5832 = x^3
solving for x;
x = (0.5832)^(1/3)
x = 0.835 m
Length = x^2 = 0.835^2 = 0.698 m = 69.8cm
Breadth = x = 0.835 m = 83.5cm
Write nine minus the quotient of two and a number x as a expression variable
Answer:
9-(2/x)
Step-by-step explanation:
8+16÷4·3+5·4·25·2 =
solve the equation
Answer:
1020
Step-by-step explanation:
8+16÷4·3+5·4·25·2
PEMDAS
Multiply and divide from left to right
8+4·3+5·4·25·2
8+12+5·4·25·2
8+12+1000
Then add
1020
how do i multiply 36 by 1.5
Answer:
36x1.5=54
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
First you multiply the 36 by 1, which is 36.
Second you multiply 36 by 1/2 or 0.5. In other terms, that means what is half of 36? 18.
Last, add the two, 18 + 36 = 54
Quadrilateral ABCD is inscribed in a circle
What is the measure of angle A?
Answer:
Quadrilateral ABCD is inscribed in a circle, then
A + C = 180
=> 2x + 9 + 3x + 1 = 180
=> 5x = 170
=> x = 34
=> A = 2 x 34 + 9 = 77 deg
Hope this helps!
:)
Answer:
77°
Step-by-step explanation:
ABCD is inscribed in a circle. Therefore it is a cyclic quadrilateral. Opposite angles of a cyclic quadrilateral are supplementary.
[tex]\therefore \angle A + \angle C = 180° \\ (2x + 9) \degree + (3x + 1) \degree =180° \\ (5x + 10) \degree =180° \\ 5x + 10 = 180 \\ 5x = 180 - 10 \\ 5x = 170 \\ x = \frac{170}{5} \\ x = 34 \\ \angle A = (2 \times 34 + 9) \degree \\ \huge \red{ \boxed{\angle A= 77 \degree}} \\ [/tex]
There are 110 people at a meeting. They each shake hands with everyone else. How many handshakes were there?
A) Permutation
B) Combination
C) Circular permutation
A little boy goes shopping and purchases 12 tomatoes. On the way home, all but 9 get mushed and ruined. How many tomatoes are left in a good condition?
Answer:
3
Step-by-step explanation:
its so easy all you have to do is 12-9=3
Answer:
9
Step-by-step explanation:
he has 12 tomatoes in total
all but 9 get mushed and ruined.
that means that he has 9 left and the other 3 are ruined
hope this helped :D
(-4) X(-6) what’s the answer
Answer:
its 24
Step-by-step explanation:
because negative times negative is positive
Find out six rational numbers lying between -4/8 and -3/4
PLEASE HELP........ REALLY URGENT.... NEED TO SUBMIT NOW.........
ANSWER:
-17/32, -18/32, -19/32, -20/32, -21/32, -22/32
EXPLANATION:
-4/8 and -3/4
-4*4/8*4 and -3*8/4*8
-16/32 and -24/32
There are 8 numbers between -16/32 and -24/32. You can write any six of it.
A total of 354 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
There are 118 adult tickets sold
This is because 354/3 =118
and 118+118=236
236 are the child tickets
therefore 118 are the adult tickets.
Hope this helped!
The total number of adult ticket sold is 118 tickets.
Application of linear equation.
Let's write "x" to represent how many adult tickets were sold.
The information provided indicates that there were twice as many student tickets sold as adult tickets. The quantity of student tickets sold can therefore be stated as 2x.
There were 354 total tickets sold, which includes both student and adult tickets.
We may construct an equation based on the total number of tickets to resolve this issue:
x + 2x = 354
Combining comparable variables
3x = 354
x = 354 / 3
x = 118
118 adult tickets were consequently sold.
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Sarah has $20 saved. She gets $10 per week for her allowance, and she saves her allowance for the next 3 weeks. At the end of the week, she gets $150 in birthday money. How much money will she have after the 3 weeks?
Answer:
Sarah will have $200 after 3 weeks
Step-by-step explanation:
amount saved at the start = $20
amount saved per week = $10
number of weeks = 3
∴ Total savings from allowance after 3 weeks = 10 × 3 = $30
Amount received in birthday money = $150
∴ Total amount saved after 3 weeks = amount saved at the start + Total savings from allowance after 3 weeks + Amount received in birthday money
Total amount saved after 3 weeks = 20 + 30 + 150 = $200
Therefore Sarah will have $200 after 3 weeks
Simplify 8^2/3 -√9×10^0+(1/144)^-1/2
Answer:
13
Step-by-step explanation:
We have the following expression:
[tex]8^{\frac{2}{3} } -\sqrt{9}*10^{0} + (\frac{1}{144}) ^{-\frac{1}{2} }[/tex]
If we do part by part, we have remains:
[tex]8^{\frac{2}{3} }[/tex] = 4
8 = 2^3
Therefore, the exponents 3 * 2/3 = 2 are multiplied
2^2 = 4
[tex]\sqrt{9}*10^{0}[/tex] = 3
We know that the root of 9 is equal to 3 and that every number raised to 0 is equal to 1, therefore 1 * 3 = 3
[tex](\frac{1}{144}) ^{-\frac{1}{2} }[/tex] = 12
When the exponent is negative, the fraction can be inverted and at the end there is 144 ^ 1/2, which would be the root of 144, which is equal to 12.
So, we have:
4 - 3 + 12 = 13
Four students were asked to label angles in pairs of triangles. Their drawings are shown below. Tatyanna Triangle A B C. Angle B is 54.3 degrees and angle C is 61.2 degrees. Triangle X Y Z. Angle Z is 64.5 degrees and angle Y is 54.3 degrees.[Not drawn to scale] Simon Triangle A B C. Angle A is 63.2 degrees and angle B is 58.4 degrees. Triangle X Y Z. Angle Z is 63.2 degrees and angle Y is 58.4 degrees.[Not drawn to scale] Anders Triangle A B C. Angle A is 59.8 degrees and angle B is 60.6 degrees. Triangle X Y Z. Angle X is 59.8 degrees and angle Z is 60.6 degrees.[Not drawn to scale] Kai Triangle A B C. Angle B is 60.9 degrees and angle C is 57.7 degrees. Triangle X Y Z. Angle X is 61.4 degrees and angle Z is 57.7 degrees. [Not drawn to scale] Which student labeled the triangles such that Triangle A B C is similar to X Y Z? Tatyanna Simon Anders Kai
Answer: I’m confident with Kai being the correct answer
Kai labeled the triangles such that ΔABC is similar to ΔXYZ.
What is a triangle?A triangle is a two-dimensional geometrical figure that has three sides, three vertices, and three interior angles.
As per Tatyanna:
In ΔABC, ∠B = 54.3°, ∠C = 61.2°
Therefore, ∠A = 180° - (54.3° + 61.2°) = 64.5°
In ΔXYZ, ∠Z = 64.5°, ∠Y = 54.3°
Therefore, ∠X = 180° - (64.5° + 54.3°) = 61.2°
As per Simon:
In ΔABC, ∠A = 63.2°, ∠B = 58.4°
Therefore, ∠C = 180° - (63.2° + 58.4°) = 58.4°
In ΔXYZ, ∠Z = 63.2°, ∠Y = 58.4°
Therefore, ∠X = 180° - (63.2° + 58.4°) = 58.4°
As per Anders:
In ΔABC, ∠A = 59.8°, ∠B = 60.6°
Therefore, ∠C = 180° - (59.8° + 60.6°) = 59.6°
In ΔXYZ, ∠X = 59.8°, ∠Z = 60.6°
Therefore, ∠Y = 180° - (59.8° + 60.6°) = 59.6°
As per Kai:
In ΔABC, ∠B = 60.9°, ∠C = 57.7°
Therefore, ∠A = 180° - (60.9° + 57.7°) = 61.4°
In ΔXYZ, ∠X = 61.4°, ∠Z = 57.7°
Therefore, ∠Y = 180° - (61.4° + 57.7°) = 60.9°
Therefore, the sequence and the value of the angles for ΔABC and ΔXYZ matches only with Kai's drawings.
Therefore, as per his drawings, ΔABC and ΔXYZ will look similar.
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A cone and a cylinder have the same base and height as shown below. The volume of the cylinder is 84*3.14in. What can be concluded about the volume of the cone . Check all that apply
Answer:
28*3.14in
Step-by-step explanation:
Let's consider the formula of these shape first.
For the cylinder
Volume = πr²h
While for the cone
Volume = 1/3πr²h
Just mere looking at the formula we know that if the volume of the cylinder is given, that of the cone will be 1/3 of it.
From the question .
The two have same base and height, indicating equal radius also.
If the volume of the cylinder is 84*3.14in then that of the cone will he 1/3 of 84*3.14in = 28*3.14in
PLEASE HELP ASAP 10 POINTS AND ITS MULTIPLE CHOICE
Which equation represents the line that is parallel to the following?
Y=-3x-4
A. Y=3x+4
B. Y=3x+1
C. Y=-1/3x-4/3
D. Y=1/3x-4
Answer:
A. Y=3x+4
Step-by-step explanation:
Pleaaase help me out here im being timed!!
Really appreciate it if u did thank u.
Which statements are true regarding the prism? Check
all that apply.
The prism has no vertices.
The prism has 9 edges.
The bases of the prism are triangles.
The bases of the prism are rectangles.
The prism has 5 faces.
Answer:
The prism has 9 edges, The bases of the prism are triangles, and the prism has 5 faces.
Would really appreciate a brainliest! Hope this helped! =)
Answer: B, C, E
Step-by-step explanation: dude trust me c'mon
I will mark brainliest if you are correct!
When solving the equation, which is the best first step to begin to simplify the equation?
-2 (x + 3) = -10
A. (-2) (-2) (x + 3) = -10 (-2)
B. -1/2 (-2) (x + 3) = -10 (-1/2)
C. -2/2 (x + 3) = -10/2
-2/-10 (x + 3) = -10/-10
Answer:
i think the answer is C
Step-by-step explanation:
Answer:
Look below.
Step-by-step explanation:
Uh here's what I did:
-2x-6= -10
Add 6 to both sides.
-2x=-4
Divide both sides by -2
x=2
1 point
Find the volume of the following pyramid. Round to the nearest tenth if
needed. *
O V= 60 in cubed
OV= 20 in cubed
V= 30 in cubed
picture above!
Answer:
V=20 in cubed
Step-by-step explanation:
The formula to find the volume of a pyramid is L×W×H÷3
L×W=15 or 5×3=15 15×H=60 or 15×4=60 60÷3=20 in cubedTherefore V =20 in cubed
Hope that helped! If you have any further questions please message me! Good luck!
Which relation is a function? A. (1, 0), (3, 0), (1, 1), (3, 1) (1, 3) B. (1, 1), (2, 2), (3, 3), (4, 4), (5, 8) C. (2, 7), (6, 5), (4, 4), (3, 3), (2, 1) D. (9, −3), (9, 3), (4, −2), (4, 2), (0, 0)
Answer:
b is the answer
Step-by-step explanation:
i checked if inputs repeated in all the string of answers
Answer:
b
Step-by-step explanation:
A person is standing 200ft from a tower. She can see the top of the tower at a 42 degree angle of elevation. Her eyes are 5ft above the ground*. What is the height of the tower. Round your answer to the nearest foot
A. 154ft
B. 149ft
C. 185ft
Answer:
C. 185 ft
Step-by-step explanation:
The work is in the attached picture file, if you need it. Basically the question sets up a right triangle, for which the base is 200 and the height is the goal that you are solving for. It is given that the angle between hypotenuse and base is 42 degrees. For this you use tangent to say that
tan(42) = h / 200
200 tan (42) = h
h = 180 feet.
But then you must remember that this triangle starts 5 feet off of the ground. So you add the 5 feet and get 185 feet as the height of the tower.
One-third of Lexie's age is 4
years more than one-fifth of this
age. Lexie's sister is 5 years
younger than her. How is is Lexie's
sister?
Answer:
7/15
Step-by-step explanation:
Researchers recorded that a certain bacteria population declined from 170,000 to 200 in 42 hours. At this rate of decay, how many bacteria was there at 24 hours? Round to the nearest whole number.
Answer:
3600 bacterias
Step-by-step explanation:
From P = P'e^(-kt), where
P = final population
P' = initial population
k = decay constant
t = time in hrs
Substituting we have
200 = 170000 x e^(-42k)
1/850 = e^(-42k)
We take natural log (Ln) of both side
Ln (1/850) = Ln (e^(-42k))
-6.745 = -42k
k = 0.16059.
For amount remaining after 24 hrs we find P
P = 170000 x e^(-0.16059x24)
P = 170000 x e^-3.85416
P = 170000 x 0.02119 = 3602.3
Approximately 3600 bacterias.
A rectangular prism with a length of 14 meters, width of 5 meters, and height of 4.5 meters. A square pyramid with a base of 8 feet by 8 feet and height of 6 feet. Find the volumes of the three-dimensional figures. Rectangular prism: m3 Pyramid: ft3
Answer:
315 and 128
Step-by-step explanation:
Answer:
315 and 128
Step-by-step explanation:
A) The probability of it snowing on a given day is 4/11 what is the probability of it not snowing?
B) The probability of it raining on a given day is 3/8 what is the probability of it not raining?
Answer:
a. The probability of it not snowing on that particular day is 7/11
b. The probability of it not raining on that particular day is 5/8
Step-by-step explanation:
To answer this question, we need to understand something.
The probability of an event happening and the probability of that event not happening sums up to 1.
This will be our guiding principle in answering this question.
a. Probability of snowing on a given day = 4/11
Probability of not snowing = 1 - probability of snowing = 1-4/11 = 7/11
b. The probability of raining on a particular day = 3/8
The probability of it not raining on that particular day = 1-3/8 = 5/8
What is the square root of 91
Answer:
9.53939201417
Step-by-step explanation:
sqrt(91)=
9.53939201417
Answer:
9.53939201
Step-by-step explanation:
This can simply be done in a calculator but what you are basically doing is thinking about the reverse of a exponent. For instance, √25 is 5 because 5² is 25. Hope this helps! If you are still confused please comment!
