Answer:
[tex]\frac{13}{7}[/tex]
Step-by-step explanation:
→ State the slope formula
( y₂ - y₁ ) ÷ ( x₂ - x₁ )
→ Substitute in the values
( 7 - -6 ) ÷ ( 4 - -3 )
→ Simplify
[tex]\frac{13}{7}[/tex]
Answer:
slope = [tex]\frac{13}{7}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (4, 7)
m = [tex]\frac{7-(-6)}{4-(-3)}[/tex] = [tex]\frac{7+6}{4+3}[/tex] = [tex]\frac{13}{7}[/tex]
URGENT! What is the period for the cotangent function? (Answer in radians.)
it is [tex]\pi[/tex]
since period of tangent is $\pi$ ,so the period of reciprocal will also be same
The period for the cotangent function is π radians.
How do I find the period of a function?
The period for function y = A sin(Bx + C) and y = A cos(Bx + C) is 2π/|B| radians. Frequency is described as the wide variety of cycles completed in one 2d. If the duration of a function is denoted via P and f is its frequency, then –f =1/ P.
What is the period of tangent and cotangent?The tangent function has period π. f(x)=Atan(Bx−C)+D is a tangent with vertical and/or horizontal stretch/compression and shift. The cotangent function has period π and vertical asymptotes at 0,±π,±2π, The range of cotangent is (−∞,∞), and the function is decreasing at each point in its range.
Learn more about the Cotangent function here https://brainly.com/question/2263992
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Y = 0.2(0.35)^t decay rate
Answer:
Step-by-step explanation:
At 1 year old it is: e1 = 2.7 mm high ... really tiny!
At 5 years it is: e5 = 148 mm high ... as high as a cup
At 10 years: e10 = 22 m high ... as tall as a building
At 15 years: e15 = 3.3 km high ... 10 times the height of the Eiffel Tower
At 20 years: e20 = 485 km high ... up into space!
If line ℓ is parallel to plane P, how many planes containing line ℓ can be drawn parallel to plane P?
Answer:
One
Step-by-step explanation:
Only one plane containing line ℓ can be drawn parallel to plane P
On a cold February morning, the temperature of the radiator fluid in Stanley’s car is . When the engine is running, the temperature of the fluid goes up per minute. Approximately how long will it take before the radiator fluid temperature reaches ?
Answer:
18.18 min
Step-by-step explanation:
The complete question is
On a cold February morning, the radiator fluid in Stanley’s car is -18F. When the engine is running, the temperature goes up 5.4 F per minute. Approximately how long will it take before the radiator fluid temperature reaches 80 F?
The initial temperature of the engine [tex]T_{1}[/tex] = -18 F
rate of increase in temperature r = 5.4 F/min
Final temperature [tex]T_{2}[/tex] = 80 F
Difference in temperature ΔT = [tex]T_{1} -T_{2}[/tex] = 80 - (-18) = 98 F
time taken to reach this 80 F will be = ΔT/r
where ΔT is the difference in temperature
r is the rate of change of temperature
time taken = 98/5.4 = 18.18 min
PLEASE HELP TO BE MARKED THE BRAINLIEST
If we have line segment AB, and point C is somewhere on AB, then AC+CB = AB through the segment addition postulate.
This is the idea where basically we can glue together two straight lines to form a longer straight line. Or we can go in reverse to break up a line into smaller parts.
ys is the perpendicular bisector of xz. What is the length of Xs if xz is 18 inches long?
Answer:
XS is 9 inches long.
Step-by-step explanation:
Given that
YS is the perpendicular bisector of XZ.
Length of XZ = 18 inches
To find:
Length of XS = ?
Solution:
First of all, let us learn about the perpendicular bisector.
Perpendicular bisector of a line AB is a line PQ, which divides the line AB in two equal parts and is at an angle of [tex]90^\circ[/tex] with the line AB.
If B is on the line PQ, then [tex]BP = BQ = \frac{PQ}{2}[/tex] and
[tex]\angle ABP = \angle ABQ = 90^\circ[/tex]
Applying the above property in our given question.
Kindly refer to the attached image for the given dimensions.
S is on the line XZ.
[tex]XS = SZ = \frac{XY}{2} = \dfrac{18}{2} \\\Rightarrow \bold{XS = 9\ inches}[/tex]
So, the answer is XS is 9 inches long.
If the length of a rectangle is 5y-7 and the width is 3y,represent the area of the rectangle
Answer:
15y^2 - 21y
Step-by-step explanation:
A = LW
A = (5y - 7)(3y)
A = 15y^2 - 21y
Answer:
A = 15y² - 21y
Step-by-step explanation:
3y(5y - 7)
15y² - 21y
PRACTICE
List the factors of each number.
1. 16,
2. 39
3. 50
for each pair of numbers.
Answer:
1. 1 & 16, 2 & 8, 4 & 4
2. 1 & 39, 3 & 13
3. 1 & 50, 2 & 25, 5 & 10
4. Define Adjacent Angles.
Answer:
hope this helps
Step-by-step explanation:
Adjacent angles are two angles that have a common side and a common vertex (corner point) but do not overlap in any way.
Answer:
the two angles that have a common sides and a common vertex but do not overlap in any way is called adjacent angles.
square of 2x+3y.Please help me
Answer:
(2x+3y)^2
= (2x)^2 + 2(2x)(3y) + (3y)^2
= 4x^2 + 12xy + 9y^2
Answer:
4x^2 12xy +9y^2
Step-by-step explanation:
(2x+3y)^2
(2x+3y)(2x+3y)
FOIL
4x^2 + 6xy+6xy + 9y^2
4x^2 12xy +9y^2
Please answer ASAP. The question is down below
Answer: 1) D 2) B
Step-by-step explanation:
1) The denominator cannot equal zero, Factor the denominator to find the zeros. n³ - 4n² + 3n = 0
n(n - 3)(n - 1) = 0
n=0 n-3=0 n-1=0
n=0 n=3 n=1
2) In order to be a rational expression, it must be in the form [tex]\dfrac{a}{b}[/tex] where both a and b are integers.
Since [tex]\sqrtb[/tex][tex]\sqrt b[/tex] is irrational and not an integer, then the expressions containing an irrational term after simplified cannot result in an integer.
Therefore, options (i) and (iv) are not rational expressions.
Option (iii) contains b as an exponent. Since there is no information about b, it could be a fraction, which means it could be an irrational number.
4 > - 4404 true or false
Answer:
True
Step-by-step explanation:
-4404 is always smaller than 4Answer:
true as positive are bigger than negetive
Step-by-step explanation:
Question 9 (5 points)
3
6
9
--
What's the approximate measure of one interior angle of the regular polygon shown?
12
A) 1,620°
>
15
B) 220°
C) 2.7°
18
D) 147.3°
Answer:
147.3
Step-by-step explanation:
this is an hendecagon there is 11 sides the total interior measure is 1,620 if you divide that by each side which would be 11 you get 147.272727 which would ultimately round up to be 147.3
which expression is equivalent to (3x-6)(4x+1)
Answer:
12x^2 -21x -6
Step-by-step explanation:
(3x-6)(4x+1)
FOIL
first 3x*4x= 12x^2
outer 3x*1 = 3x
inner -6*4x = -24x
last -6*1 = -6
Add them together
12x^2 +3x -24x -6
Combine like terms
12x^2 -21x -6
What is the smallest positive integer $n$ such that $\frac{n}{n+101}$ is equal to a terminating decimal?
Answer:
n = 24
Step-by-step explanation:
Given the fraction:
[tex]$\frac{n}{n+101}$[/tex]
To find:
Smallest positive integer [tex]$n$[/tex] such that the fraction is equal to a terminating decimal.
Solution:
The rule that a fraction is equal to a terminating decimal states that, the denominator must contain factors of only 2 and 5.
i.e. Denominator must look like [tex]2^m\times 5^n[/tex], only then the fraction will be equal to a terminating decimal.
Now, let us have a look at the denominator, [tex]n+101[/tex]
Let us use hit and trial method to find the value of [tex]n[/tex] as positive integer.
n = 1, denominator becomes 102 = [tex]2 \times 3 \times 17[/tex] not of the form [tex]2^m\times 5^n[/tex].
n = 4, denominator becomes 105 = [tex]5 \times 3 \times 7[/tex] not of the form [tex]2^m\times 5^n[/tex].
n = 9, denominator becomes 110 = [tex]2 \times 5 \times 11[/tex] not of the form [tex]2^m\times 5^n[/tex].
n = 14, denominator becomes 115 = [tex]5 \times 23[/tex] not of the form [tex]2^m\times 5^n[/tex].
n = 19, denominator becomes 120 = [tex]5 \times 3 \times 2^3[/tex] not of the form [tex]2^m\times 5^n[/tex].
n = 24, denominator becomes 125 = [tex]2^0 \times 5 ^3[/tex] It is of the form [tex]2^m\times 5^n[/tex].
So, the answer is n = 24
what are the squares from one to twenty
Answer:
1,4,9,16
Step-by-step explanation:
those are the squares
1 = 1²
4 = 2²
9 = 3²
16 = 4²
Step-by-step explanation:
[tex] {1}^{2} = 1 \times 1 = 1 \\ {2}^{2} = 2 \times 2 = 4 \\ {3}^{2} = 3 \times 3 = 9 \\ {4}^{2} = 4 \times 4 = 16 \\[/tex]
[tex] {5}^{2} = 5 \times 5 = 25 \\ [/tex]
[tex] {10}^{2} = 10 \times 10 = 100[/tex]
[tex] {6}^{2} = 6 \times 6 = 36 \\ {7}^{2} = 7 \times 7 = 49 \\ {8}^{2} = 8 \times 8 = 64 \\ {9}^{2} = 9 \times 9 = 81 \\ [/tex]
[tex] {11}^{2} = 11 \times 11 = 121 \\ {12}^{2} = 12 \times 12 = 144 \\ {13}^{2} = 13 \times 13 = 169 \\ {14}^{2} = 14 \times 14 = 196 \\ [/tex]
[tex] {15}^{2} = 15 \times 15 = 225 \\ {16}^{2} = 16 \times 16 = 256 \\ {17}^{2} = 17\times 17 = 289 \\ {18}^{2} = 18 \times 18 = 324[/tex]
[tex] {19}^{2} = 19 \times 19 = 361 \\ {20}^{2} = 20 \times 20 = 400[/tex]
show that the point p(-6,2), Q(1,7) and R(6,3) are the vertices of scalene triangle
Answer:
the sides are different lengths as shown in the diagram
Step-by-step explanation:
Plotting the three points, you can see by "inspection" that the middle length side (PQ) is longer than the shortest side (QR) and shorter than the longest side (PR). You could use the distance formula to show this, or you can use a scale to measure the drawing.
A triangle with three unequal sides is a scalene triangle. ∆PQR is scalene.
Find the surface area of the composite figure. 12 cm 11 cm 5 cm 7 cm 3 cm 4 cm 4 cm 12 cm SA = [?] cm? Enter
Answer:
116cm2
Step-by-step explanation:
ddyjjhffyyyttyu
Two mechanics worked on a car. The first mechanic charged $85 per hour, the second mechanic charged $90 per hour. The mechanic worked for a combined total of 25 hours, and together they charged a total of $2200. How lond did each mechanic work?
Answer:
First mechanic worked for = 10 hours
Second mechanic worked for = 15 hours.
Step-by-step explanation:
Let the number of hours the First mechanic worked = X
Let the number of hours the Second mechanic worked = Y
The first mechanic charged = $85 per hour
The second mechanic charged = $90 per hour
We are told in the question that: The mechanic worked for a combined total of 25 hours, and together they charged a total of $2200
Hence, we have the following equations from the above question
85X + 90Y = 2200....... Equation 1
X + Y = 25 ........ Equation 2
X = 25 - Y
Substitute 25 - Y for X in equation 1
85(25 - Y) + 90Y = 2200
2125 - 85Y + 90Y = 2200
Collect like terms
5Y = 2200 - 2125
5Y = 75
Y = 15
Since Y is the number of hours the second mechanic worked, hence, the second mechanic worked for 15 hours.
X + Y = 25 ........ Equation 2
Y = 15
X + 15 = 25
X = 25 - 15
X = 10
Since X represents the number of hours that the first mechanic worked, hence, the first mechanic worked for 10 hours.
Therefore, the first mechanic worked for 10 hours and the second mechanic worked for 15 hours.
Given the function g(x) = x2 + 10x + 18, determine the average rate of change of
the function over the interval -11 < x < -1.
Answer:
-2.
Step-by-step explanation:
Average rate of change of the function = [ f(-1) - f(-11)] / [(-1 - (-11)]
= [(-1)^2 + 10*-1 + 18 - ((-11)^2 + 10*-11 + 18)] / 10
= (1 - 10 + 18 - (121 - 110 + 18) / 10
= (9 - (29) /10
= -20/10
= -2.
Answer:
Step-by-step explanation:
The answer is +2 or 2.
What is the surface area of the cylinder with height 7 in and radius 3 in? Round your
answer to the nearest thousandth.
Answer:
188.495
Step-by-step explanation:
Given that,
h=7
r=3
Surface area of a cylinder = 2πr(h + r)
=2π×3(7+3)
=18.8495559215 (10)
=188.495
The temperature on a winter was -23 °F. The temerature rise by 5 °F when the sun came up. When the sun set again, the temperature dropped by. 7°F. Write and evaluate an exspression to find the temperature after the sun set.
Answer:
-25
Step-by-step explanation:
First, add 5 to -23 since the temperature is getting hotter.
so -23 +5= -18
Second, minus the answer by 7 since the temperature is now falling down after the sunset.
so -18 -7 = -25
or...
this step can be simplified as:
-23 +5 -7 =. -25
7 is subtracted from the quotient of 48 divided by the sum of 5 and differences of 11 and 8
Write it out as an equation:
(48 /(5+(11-8))) -7
Simplify:
(48/(5+3))-7
(48/8)-7
6-7 = -1
The answer is -1
blake bought two iced coffees at dutch bros. He originally had $13.50 and now has $9 Write and solve an equation to find out how much each iced coffee cost
if he had $13.50 and now he has $9 all you have to do is minus $13.50 by 9 like this 13.50-9=4.50 the ice coffee costs $4.50 simple.
If you still have a question and don't understand this please ask again thank you.
I got this wrong please help me get the right answer in the first little box marked in red. thx
Answer:
The inverse is 1/2x +2
Step-by-step explanation:
f(x) = 2x-4
y= 2x-4
To find the inverse
Exchange x and y
x = 2y-4
Solve for y
Add 4 to each side
x+4 = 2y
Divide by 2
x/2 + 4/2 = 2y/2
1/2x +2 = y
The inverse is 1/2x +2
Find h, k, and p
Write the equation in standard form
Identify the missing pieces
Vertex (0,0); focus (0,-4)
Answer:
Step-by-step explanation:
This is a parabola. If we plot the vertex and the focus, we see that the focus is below the vertex. What this tells us is that the parabola opens "upside down" since the parabola wraps itself around the focus. If it opens upside down, then the format for the equation is
[tex]4p(y-k)=-(x-h)^2[/tex]
where p is the distance between the vertex and the focus (4), h is the first coordinate of the vertex (0), and k is the second coordinate of the vertex (0). Filling in the formula then:
[tex]4(4)(y-0)=-(x-0)^2[/tex] which simplifies down to
[tex]16y=-x^2[/tex] and then finally,
[tex]y=-\frac{1}{16}x^2[/tex]
Choice #1: Marie made an error when solving the equation below.
Part A: Identify Marie’s error and explain why it resulted in an incorrect solution.
Part B: Correctly solve 4x - 8 = 36 for x. Show your work.
Answer:
Marie´s error was not to consider the number 8:
4x - 8 = 36
it´s equal to:
(4x-8)/4 = 36/4
4x/4 - 8/4 = 36/4
x - 2 = 9
x = 9+2
x = 11
probe:
4*11 - 8 = 36
44 - 8 = 36
Marie did not add 8 on the right-hand side so by considering it the solution of the given equation will be 11.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
In another word, the equation must be constrained with some constraints.
As per the given equation,
4x - 8 = 36
Marie add +8 on the left-hand side but forgot to add it to the right-hand side.
Thus, add +8 on the left as well as the right-hand side.
4x - 8 + 8 = 36 + 8
4x = 44
x = 11
Hence "Marie did not add 8 on the right-hand side so by considering it the solution of the given equation will be 11".
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-2x-7+9-2= Please can i have an answer
Answer:
-2x
Step-by-step explanation:
-2x-7+9-2
Combine like terms
-2x +0
-2x
Answer:
-2x
Step-by-step explanation:
from the question
-2x-7+9-2=
step 1
collect the like terms
we have,
-2x-7+9-2
-2x + 2 -2
-2x + 0
-2x
therefore the answer to the question -2x-7+9-2 is equal to -2x
If a person invests $190 at 8% annual interest, find the
approximate value of the investment at the end of 10 years.
Answer:
$410
Answer From Gauth Math
Step-by-step explanation:
This the problem of compound interest
If any amount P is invested at rate of r% per year then its value after n years is given by
amount =
______________________________
Given
p = $190
r =8%
n = 10 year then
Let u = , v = . Find u + v. (1 point)
Answer:
i couldnt find a solution to the equation all i could get is u +v
Step-by-step explanation:
what were you trying to say when you said "let u="
Answer:
4.8
Step-by-step explanation:
(-3,4) + (8,2) = 4.8