Answer:
The slope would be 7/3
The y-intercept would be -11
Step-by-step explanation:
To find the answer rearrange your equation.
First subtract 14x from both sides, getting -6y= -14x + 66.
Then divide both sides by -6, getting y= 7/3x -11
This is now written in y=mx+b form. Your m is your slope and b is the y intercept!
Point C is on line segment \overline{BD} BD . Given CD=x,CD=x, BC=5x-5,BC=5x−5, and BD=2x+7,BD=2x+7, determine the numerical length of \overline{CD}. CD .
Answer:
[tex]CD = 3[/tex]
Step-by-step explanation:
Given
[tex]CD = x[/tex]
[tex]BC = 5x - 5[/tex]
[tex]BD = 2x + 7[/tex]
Required
Determine CD
Since, C is a point on BD, the relationship between the given parameters is;
[tex]BD = BC + CD[/tex]
Substitute the values of BD, BC and CD
[tex]2x + 7 = 5x - 5 + x[/tex]
Collect Like Terms
[tex]2x - 5x - x = -5 - 7[/tex]
[tex]-4x = -12[/tex]
Divide both sides by -4
[tex]\frac{-4x}{-4} = \frac{-12}{-4}[/tex]
[tex]x = 3[/tex]
To determine the length of CD;
Substitute 3 for x in [tex]CD = x[/tex]
Hence;
[tex]CD = 3[/tex]
Vector a = 4i + 5j
Vector b = 3i + 6j
Find the dot product.
Step-by-step explanation:
a · b = (4)(3) + (5)(6)
a · b = 12 + 30
a · b = 42
Answer:
42
Step-by-step explanation:
a*b = 4*3 + 5*6 = 12 + 30 ( where i*i = j*j = 1)
∴ a*b = 42
A school has 1500 students. Given that 3% of them were late for school on a particular day, find the no of students who were punctual for school
Answer:
1455
Step-by-step explanation:
0.03% x 1500 = 45
therefore, 45 students were late
1500 - 45 = 1455 punctual
Find the equation of the line perpendicular to y=2x-6 that passes through the point (1,5). If possible, write the equation in slope-intercept form.
Answer:
y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{11}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x - 6 ← is in slope- intercept form
with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex] , thus
y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute (1, 5) into the partial equation
5 = - [tex]\frac{1}{2}[/tex] + c ⇒ c = 5 + [tex]\frac{1}{2}[/tex] = [tex]\frac{11}{2}[/tex]
y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{11}{2}[/tex] ← equation of perpendicular line
What are 3 equivalent fractions for 4/8
Answer:
1/2, 3/6, 7/14
Step-by-step explanation:
Each are 1/2 :)
The 3 equivalent fractions of 4/8 = 8/16, 12/24, and 16/32.
What are equivalent fractions?Equivalent fractions are those fractions that are made up of different numerator and denominator but are equal to the same value.
To find the equivalent fractions of 4/8, multiply the numerator and denominator by the same number.
That is , 4/8 ×2 = 8/16
4/8 × 3 = 12/24
4/8 × 4 = 16/32
Therefore, the 3 equivalent fractions of 4/8 = 8/16, 12/24, and 16/32.
Learn more about equivalent fractions here:
https://brainly.com/question/17220365
if the radius of the right cylinder is 5 in and the radius of the oblique cylinder is 4 in, they will have the same volume as long as they are the same height.
a. True
b. False
Answer:
False.
Step-by-step explanation:
Recall that the volume of a right cylinder is given by the formula:
[tex]V=\pi r^2h[/tex]
And the volume if a oblique cylinder is likewise also given by the formula:
[tex]V=\pi r^2h[/tex]
From the formulas, therefore, if the heights are equivalent, then the radii must also be equivalent for the two cylinders to have the same volume.
The question is in the image below.
Answer:
50 degrees
Step-by-step explanation:
Point A is the terminal point on the unit circle associated with real number pi/5. What are the coordinates of this point?
Answer:
In polar coordinates, we represent the points as:
P = (R, θ)
Where R is the radius and θ is the angle (depending on how you want to work, you can use θ in degrees or radians).
Then in this case we know that we are working with the unit circle, whose radius is R = 1.
And the angle is pi/5.
Then our point will be:
P = (1, pi/5).
Now we also could write it in rectangular coordinates, knowing that for a point (R, θ) we have:
x = R*cos(θ)
Y = R*sin(θ)
Then for our point the rectangular coordinates are:
x = 1*cos(pi/5) = 0.81
y = 1*sin(pi/5) = 0.59
Then the point is (0.81, 0.59)
Fill in the blank.
(5x)2
a0x2
Answer:[tex]a_0=25[/tex]
Step-by-step explanation:
It is given that, [tex](5x)^2=a_0x^2[/tex]
We need to find the value of [tex]a_0[/tex]
As [tex](5x)^2=a_0x^2[/tex]
Solving LHS
[tex]25x^2=a_0x^2[/tex]
Now comparing the coefficients of [tex]x^2[/tex]
In LHS the coefficient of [tex]x^2[/tex] is 25
In RHS the coefficient of [tex]x^2[/tex] is [tex]a_0[/tex]
It implies that, [tex]a_0=25[/tex]
So, the value of [tex]a_0[/tex] is 25.
Is it possible to add a rational number to an irrational number and get a rational
number?
Answer:
no
Step-by-step explanation:
rational numbers are just like negative and positive. If you add a positive number and a negative number together, you are going to get a negative number, so the answer is no.
// have a great day //
Simplify and mention the property used: -265 × 52 + 265 ×152
Answer:
0
Step-by-step explanation:
Using bodmas
(-265*52)+(265*152)
(-13780)+(13789)
=0
Answer: 26500
Step-by-step explanation:
Simplify -265 x 52 to -13780
-13780+265 x 152
Simplify 265×152 to 40280
-13780+40280
Simplify
26500
Unfortunately I do not understand the part which mentions "property used"
Write the following sentence using mathematical symbols. The difference of z and two-thirds is the same as the product of z and two-thirds.
Answer:
Step-by-step explanation:
z - 2/3 = (2/3)z
Write the perimeter of the triangle as a simplified expression
Answer: 10y + 1
Step-by-step explanation:
The perimeter is the total distance round the figure.
Now, in this case it is going to be
Perimeter = 3y + 5 + 6y + y - 4
= 3y + 6y + y + 5 - 4
= 10y + 1
The perimeter of the given triangle is 10y + 1 units.
What is a triangle ?A triangle is formed by 3 non co-linear points it has three sides and three vertices.
A triangle is also a polygon with three sides.The sum of all the interior angles of a triangle is 180°.
In the given question
Equations of all the sides of the lengths of the triangle is given.
We know that the perimeter of a triangle is the sum of the lengths of all the sides.
∴ Perimeter of the given triangle
= (3y + 5) + (y - 4) + 6y
= 10y + 1 units.
Learn more about Triangles here :
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For questions 6a & 6b, calculate the mean for each group: 6a) Textbook A 6b) Textbook B Mean: ______________ Mean: ______________ 6) Which class performed better? 7) If the standard deviation for Class A was 26.3 and the standard deviation for Class B was 8.5, which class was more consistent?
Answer:
44 52 95 76 13 94 83 72 55 81 22 25 64
The mean is: 59.7
65 72 48 63 68 59 68 62 75 79 81 72 64
The mean is: 67.4
solve
10a -7 = 21 - ба
Answer:
A=1.75
Step-by-step explanation:
[tex]10a + 6a = 21 + 7 \\ 16a = 28 \\ divide \: both \: sides \: by \: 16 \\ a = 1.75 \: or 1 \ \frac{3}{4} [/tex]
Answer:
a = 7/4
Step-by-step explanation:
10a -7 = 21 - 6а
Add 6a to each side
10a+6a -7 = 21 - 6а+6a
16a -7 = 21
Add 7 to each side
16a+7-7=21+7
16a = 28
Divide each side by 16
16a/16 = 28/16
a = 7/4
solve v = 1/3 bh for b the base of the cone
Answer:
[tex]b = \frac{3v}{h} [/tex]Step-by-step explanation:
[tex]v = \frac{1}{3} bh[/tex]First of all multiply through by 3
That's
[tex]3v = \frac{1}{3} \times bh[/tex]We have
[tex]3v = bh[/tex]Divide both sides by h to make b stand alone
That's
[tex] \frac{bh}{h} = \frac{3v}{h} [/tex]We have the final answer as
[tex]b = \frac{3v}{h} [/tex]Hope this helps you
imagine you and a friend are trying to rearrange the furniture in your classroom. You push on a desk with a force of 150 N to the right. Your friend pushes on the same desk with a force of 50 N to the left. What is the net force on the desk?
Answer:
100NStep-by-step explanation:
If I push on a desk with a force of 150 N to the right and my friend pushes on the same desk with a force of 50 N to the left, this means that I pushed the desk in the positive x direction and the force I applied is F1 = +150N; my friend pushes the desk in the negative x direction and the applied force will be F2 = -50N.
THe net force will the sum total of both forces acting on the desk.
Net force F = F1+F2
Given F1 = +150N and F2 = -50N
Net force F = +150N+(-50N)
Net force F = +150N-50N
Net force F = +100N
Hence the net force on the desk is 100N
Enter an algebraic equation for the sentence. Use x as your variable.
The difference between nine times a number and 4 is 23.
Answer:
Step-by-step explanation:
Represent the number by x. Then:
9x - 4 = 23
Change the following military times to regular times. a. 0215 b. 0532 c. 0045 d. 1842
Answer:
a) 2:15 AM
b) 5:32 AM
c) 12:45 AM
d) 6:42 PM
Juan proyecta alquilar un local para hacer funcionar un gimnasio cuando las normas sanitarias lo permitan. El alquiler mensual es de S/2000, ¿a cuanto equivale el impuesto que debe pagar el dueño por alquilar su local?
Answer:
Si posee una propiedad y la alquila a inquilinos, ¿cómo se gravan esos ingresos?
La respuesta es que los ingresos por alquileres se gravan como ingresos ordinarios. Si está en el tramo impositivo marginal del 22% y tiene $ 5,000 en ingresos por alquiler que declarar, pagará $ 1,100.
Sin embargo, hay más en la historia. Los propietarios de propiedades de alquiler pueden reducir sus cargas fiscales de varias formas. De hecho, una propiedad rentable en alquiler podría no mostrar ingresos, o incluso una pérdida, a efectos fiscales.
Si uno de sus inquilin os le extiende un cheque por $ 1,000 por mes para cubrir su alquiler, se trata de ingresos por alquiler.
El impuesto deducido en el que incurre el propietario depende del tramo impositivo marginal del estado del país. Si el tramo impositivo marginal es del 20%, el impuesto será 20/100 x 2000 = 400
Solve the following equations
(a) tydt + (t + 1)dy = 0,
(b) y dy dt + t = 1,
(c) ty0 + y = y 2 , with the initial condition, y(1) = 1 2
Answer:
A) In y = - [ x-In (x+1) ] + c
B) [tex]\frac{y^2}{2} = t - \frac{t^2}{2} + c[/tex]
Step-by-step explanation:
A) tydt + ( t + 1 ) dy = 0
dy/y = - ( [tex]\frac{tdt}{t+1}[/tex] ) we have to integrate both sides of the equation
In y = - [ x- In (x +1) ] + c
B) y dy/dt + t = 1
we can express the equation as :
y dy = ( 1 - t ) dt
when we integrate the equation we have
[tex]\frac{y^2}{2} = t - \frac{t^2}{2} + c[/tex]
A book shelf is 1 m wide. Joe wants to place a set of books across the shelf. He has 20 books. Each book is 5.2 cm wide. Will he have enough space for all the books?
Answer:
Only 19 books
Step-by-step explanation:
1m=100cm
1 book attains 5.2cm
x books attain 100cm
Do cross multiplication and then u will get answer as 19.23
books can't be in decimals
So answer is 19 books
. Consider the recurrence T(n) = 2n + T(bn/4c) + T(b(3/4)nc), where T(n) = 1 if n < 10. Prove by induction that T(n) = O(n log n). g
Step-by-step explanation:
[tex]$ T(n) = T(\frac{n}{4})+T(\frac{3n}{4})+2n \ \ \; \ n > 10 $[/tex]
[tex]$ T(n) = 0; \ \ n<0 $[/tex]
Therefore,
[tex]$ T(n)= T(\frac{n}{4})+T(\frac{3n}{4})+2n $[/tex]
[tex]$ T(\frac{n}{4})= T(\frac{n}{16})+T(\frac{3n}{16})+(\frac{2n}{4}) \ \ ...(i)$[/tex]
[tex]$ T(\frac{3n}{4})= T(\frac{3n}{16})+T(\frac{9n}{16})+(\frac{6n}{4}) \ \ ...(ii)$[/tex]
[tex]$ \Rightarrow \frac{n+3n+3n+9n}{16} = \frac{16n}{16}$[/tex]
= n
[tex]$ \therefore n+n+n+.... = n \cdot \log_{\frac{4}{3}}n$[/tex]
[tex]$ \therefore T(n) = n \cdot \log_{\frac{4}{3}}n$[/tex]
Pilar wanted to use estimation to solve a decimal addition problem. She correctly used estimation to rewrite the problem as 12 + 3 + 5 + 6. What could her original problem have been? Also it is written in decimals.
Answer:
Could be 11.9 + 2.9 + 4.9 + 5.9
Step-by-step explanation:
All the numbers above will round to 12 + 3 + 5 + 6. There are other answers too
Answer:
it would be Could be 11.9 + 2.9 + 4.9 + 5.9
Step-by-step explanation:
a(x+b)=g+3f
solve for x
Answer:
[tex]x = (\frac{g + 3f}{a}) - b[/tex]
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
Note that PEMDAS =
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
& is the order of operation.
First, divide a from both sides:
[tex]a(x + b) = g + 3f[/tex]
[tex]\frac{a(x + b)}{a} = \frac{g + 3f}{a}[/tex]
[tex]x + b = \frac{g + 3f}{a}[/tex]
Next, subtract b from both sides to isolate the variable, x.
[tex]x + b (-b) = \frac{g + 3f}{a} (-b)[/tex]
[tex]x = (\frac{g + 3f}{a}) - b[/tex]
[tex]x = (\frac{g + 3f}{a}) - b[/tex]
On Thursday the Meat King Market sold 1,212 pounds of ground beef. On
Friday they sold twice
that amount. On Saturday they only sold 2,137 pounds. How much more
meat did they sell on
Friday than Saturday ?
Answer:
287 pounds
Step-by-step explanation:
1212 X 2= 2424
2424-2137= 287
What's the perimeter of triangle ABC
Answer:
[tex]\Large \boxed{12.9}[/tex]
Step-by-step explanation:
BC = B’C’
BC = 2
The perimeter of a triangle is the sum of all its sides.
[tex]\sf \Rightarrow 5.1+5.8+2 \\\\\\ \Rightarrow 12.9[/tex]
The perimeter of the triangle is 12.9.
Answer:
12.9 is the perimeter
Step-by-step explanation:
BC is 2 since B’C’ is equal to BC.
Add all sides to get perimeter.
5.1+5.8+2=12.9
You’re welcome.
- bananamilkshake43
Miguel cycles at an average speed of 12 km/h.
How far has he travelled if he cycles for 5 and a
quarter hours?
Answer:
63 km
Step-by-step explanation:
Distance = speed x time = 12 x 5.25 = 63 km
20x4=10
30x13=12
10x12=3
40x11=
Answer:
440
Step-by-step explanation:
PRECALC HELP PLEASE WILL GIVE BRAINLIEST
Answer:
d ⇒ di^(21-22) = -di, facing right from where it was; order doesn't matter
Step-by-step explanation:
For direction defined as 1, i, -1, -i, a left turn is accomplished by multiplying by i. Then "L" left turns will be multiplication by i^L.
A right turn is equivalent to multiplication by -i, so R right turns will be multiplication by (-i)^R.
We know that turning left and turning right are inverse operations of each other, so we can also write a right turn as multiplication by i^(-1). Then R right turns will be equivalent to multiplication by i^(-R).
We know from the commutative and associative laws of multiplication that the order does not matter. So, L left turns and R right turns will be equivalent to multiplication by ...
(i^L)(i^-R) = i^(L -R)
Hence 21 left turns and 22 right turns is equivalent to a turn of ...
i^(21-22) = i^-1 . . . . one right turn
From an initial facing direction of 'd', the final facing direction after these 43 turns is -di.