Answer:
The equation in slope-intercept form is y = x-5
Step-by-step explanation:
Answer:
y = x-5
Step-by-step explanation:
if 2 X degree is the exterior angle of triangle and x degree and 45 degree are opposite interior angle find the value of x degree
Answer:
x = 45 degrees
Step-by-step explanation:
The measure of exterior angles is equal to the sum of non-adjacent interior angles
=> 2x = x+45
=> 2x-x = 45
=> x = 45 degrees
Answer:
45 degrees.
Step-by-step explanation:
The exterior angle = sum of the 2 opposite interior angles.
2x = x + 45
2x - x = 45
x = 45.
Misty surgery lasted 2 1/4 hours. Convert the time to seconds
======================================================
Work Shown:
1 hour = 60 minutes
2 hours = 120 minutes (multiply both sides by 2)
1/4 hour = 15 minutes (divide both sides of the first equation by 4)
2 & 1/4 hours = 2 hours + 1/4 hour
2 & 1/4 hours = 120 minutes + 15 minutes
2 & 1/4 hours = 135 minutes
---------------------
1 minute = 60 seconds
135 minutes = 8100 seconds (multiply both sides by 135)
2 & 1/4 hours = 8100 seconds
What is the range of the graph of the equation y= k/x?
Answer:
all real number except 0
Step-by-step explanation:
Which graph represents a system of equations with no solution? On a coordinate plane, 2 lines intersect at one point. On a coordinate plane, 2 lines are parallel to each other. On a coordinate plane, a line has a positive slope. On a coordinate plane, 2 lines will intersect at one point.
Answer: On a coordinate plane, 2 lines are parallel to each other.
Step-by-step explanation:
The solution of the system of equations of two lines is the intersecting point where both lines intersect.
When two lines intersect at one point then, we say it has a unique solution.
When two lines coincide, then we say it has an infinite number of solutions.
But when two lines are parallel to each other then, we say it has no solution.
Hence, the graph represents a system of equations with no solution:
On a coordinate plane, 2 lines are parallel to each other.
On a coordinate plane, [tex]2[/tex] lines are parallel to each other.
A graph is a diagram that depicts the relationship between two or more variables measured along one of a pair of axes at right angles.
A coordinate plane is a two-dimensional plane formed by the intersection of a vertical line called [tex]y-[/tex]axis and a horizontal line called [tex]x-[/tex]axis.
A system of equations has no solution if the lines are parallel.
For more information:
https://brainly.com/question/17267403?referrer=searchResults
Which points
are solutions to the system of inequalities shown below? Check
all that apply.
y> x
y>2
X>4
Help someone asap
Answer:
5, 6 and 9 , 10 so E and F.
Step-by-step explanation:
Solve a two step equation and identify the steps to equals 2= -7/4+1/4 X
Answer:
x = 15
Step-by-step explanation:
Step 1: Write out equation
1/4x - 7/4 = 2
Step 2: Add 7/4 to both sides
1/4x = 15/4
Step 3: Divide both sides by 1/4
x = 15
How much dirt is in a hole that is 3 in by 3 in by 1 ft? Please give a detailed explanation for Brainliest.
Answer:
Well the best answer would be 1 0.75 cubic feet bag of dirt
Step-by-step explanation:
Calculate the annual interest for a $10,000 Treasury bond with a current yield of 3% that is quoted at 106 points.
Answer:
$318
Step-by-step explanation:
The treasury bond is $10,000
The current yield is 3%
= 3/100
=0.03
It is quoted at 106 points
The first step is to calculate the price of the bond
Price of the bond= $10,000×106/100
= $10,000×1.06
= $10,600
Therefore the annual interest can be calculated as follows
Annual interest= $10,600×0.03
= $318
Hence the annual interest is $318
Evaluate the following definite integral.
10
∫ 13y/ y^2-9y-22 .dy
-1
Answer:
[tex]\displaystyle \int\limits^{10}_{-1} {\frac{13y}{y^2 - 9y - 22}} \, dy = -9 \ln (12)[/tex]
General Formulas and Concepts:
Pre-Calculus
Partial Fraction DecompositionCalculus
Differentiation
DerivativesDerivative NotationDerivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
IntegralsIntegration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
U-Substitution
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \int\limits^{10}_{-1} {\frac{13y}{y^2 - 9y - 22}} \, dy[/tex]
Step 2: Integrate Pt. 1
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^{10}_{-1} {\frac{13y}{y^2 - 9y - 22}} \, dy = 13\int\limits^{10}_{-1} {\frac{y}{y^2 - 9y - 22}} \, dy[/tex][Integrand] Factor: [tex]\displaystyle \int\limits^{10}_{-1} {\frac{13y}{y^2 - 9y - 22}} \, dy = 13\int\limits^{10}_{-1} {\frac{y}{(y - 11)(y + 2)}} \, dy[/tex]Step 3: integrate Pt. 2
[Integrand] Split [Partial Fraction Decomp]: [tex]\displaystyle \frac{y}{(y - 11)(y + 2)} = \frac{A}{y - 11} + \frac{B}{y + 2}[/tex][Decomp] Rewrite: [tex]\displaystyle y = A(y + 2) + B(y - 11)[/tex][Decomp] Substitute in y = -2: [tex]\displaystyle -2 = A(-2 + 2) + B(-2 - 11)[/tex]Simplify: [tex]\displaystyle -2 = -13B[/tex]Solve: [tex]\displaystyle B = \frac{2}{13}[/tex][Decomp] Substitute in y = 11: [tex]\displaystyle 11 = A(11 + 2) + B(11 - 11)[/tex]Simplify: [tex]\displaystyle 11 = 13A[/tex]Solve: [tex]\displaystyle A = \frac{11}{13}[/tex][Split Integrand] Substitute in variables: [tex]\displaystyle \frac{y}{(y - 11)(y + 2)} = \frac{\frac{11}{13}}{y - 11} + \frac{\frac{2}{13}}{y + 2}[/tex]Step 4: Integrate Pt. 3
[Integral] Rewrite [Split Integrand]: [tex]\displaystyle \int\limits^{10}_{-1} {\frac{13y}{y^2 - 9y - 22}} \, dy = 13\int\limits^{10}_{-1} {\bigg( \frac{\frac{11}{13}}{y - 11} + \frac{\frac{2}{13}}{y + 2} \bigg)} \, dy[/tex][Integral] Rewrite [Integration Property - Addition/Subtraction]: [tex]\displaystyle \int\limits^{10}_{-1} {\frac{13y}{y^2 - 9y - 22}} \, dy = 13 \bigg[ \int\limits^{10}_{-1} {\frac{\frac{11}{13}}{y - 11}} \, dy + \int\limits^{10}_{-1} {\frac{\frac{2}{13}}{y + 2}} \, dy \bigg][/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^{10}_{-1} {\frac{13y}{y^2 - 9y - 22}} \, dy = 13 \bigg[ \frac{11}{13}\int\limits^{10}_{-1} {\frac{1}{y - 11}} \, dy + \frac{2}{13}\int\limits^{10}_{-1} {\frac{1}{y + 2}} \, dy \bigg][/tex]Step 5: Integrate Pt. 4
Identify variables for u-substitution.
Integral 1
Set u: [tex]\displaystyle u = y - 11[/tex][u] Differentiation [Basic Power Rule, Derivative Properties]: [tex]\displaystyle du = dy[/tex][Bounds] Switch: [tex]\displaystyle \left \{ {{y = 10 ,\ u = 10 - 11 = -1} \atop {y = -1 ,\ u = -1 - 11 = -12}} \right.[/tex]Integral 2
Set v: [tex]\displaystyle v = y + 2[/tex][v] Differentiate [Basic Power Rule, Derivative Properties]: [tex]\displaystyle dv = dy[/tex][Bounds] Switch: [tex]\displaystyle \left \{ {{y = 10 ,\ v = 10 + 2 = 12} \atop {y = -1 ,\ v = -1 + 2 = 1}} \right.[/tex]Step 6: Integrate Pt. 5
[Integrals] U-Substitution: [tex]\displaystyle \int\limits^{10}_{-1} {\frac{13y}{y^2 - 9y - 22}} \, dy = 13 \bigg[ \frac{11}{13}\int\limits^{-1}_{-12} {\frac{1}{u}} \, du + \frac{2}{13}\int\limits^{12}_{1} {\frac{1}{v}} \, dv \bigg][/tex][Integrals] Logarithmic Integration: [tex]\displaystyle \int\limits^{10}_{-1} {\frac{13y}{y^2 - 9y - 22}} \, dy = 13 \bigg[ \frac{11}{13}(\ln |u|) \bigg| \limits^{-1}_{-12} + \frac{2}{13}(\ln |v|) \bigg| \limits^{12}_{1} \bigg][/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^{10}_{-1} {\frac{13y}{y^2 - 9y - 22}} \, dy = 13 \bigg[ \frac{11}{13}[-\ln (12)] + \frac{2}{13}[\ln (12)] \bigg][/tex]Simplify: [tex]\displaystyle \int\limits^{10}_{-1} {\frac{13y}{y^2 - 9y - 22}} \, dy = 11[-\ln (12)] + 2[\ln (12)][/tex]Simplify: [tex]\displaystyle \int\limits^{10}_{-1} {\frac{13y}{y^2 - 9y - 22}} \, dy = -11\ln (12)] + 2\ln (12)[/tex]Simplify: [tex]\displaystyle \int\limits^{10}_{-1} {\frac{13y}{y^2 - 9y - 22}} \, dy = -9 \ln (12)[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
SNOG PLEASE HELP! (x-1)(y+8)
Answer:
xy + 8x - y - 8
Step-by-step explanation:
We can use the FOIL method to expand these two binomials. FOIL stands for First, Outer, Inner, Last.
F: The First means that we multiply the first terms of each binomial together. In this case, that would be x · y = xy.
O: The Outer means that we multiply the outer terms, or the first term of the first binomial and the second term of the last binomial, together. In this case, that would be x · 8 = 8x.
I: The Inner means that we multiply the inner terms, or the second term of the first binomial and the first term of the second binomial, together. In this case, that would be (-1) · y = -y.
L: The Last means that we multiply the last terms of each binomial together. In this case, that would be (-1) · 8 = -8.
Adding all of these together, we get xy + 8x - y - 8 as our final answer.
Hope this helps!
Answer:
[tex]xy+8x-y-8[/tex]
Step-by-step explanation:
=> (x-1)(y+8)
Using FOIL
=> [tex]xy+8x-y-8[/tex]
What is the following quotient? square root 6 + square root 11 / square root 5 + square root 3
Answer:
Decimal: 5.66478
Step-by-step explanation:
√6 + √11 / √5 + √3
= √3 + 1/5 √55 + √6
--Answer--
I put the numbers in my calculator and got 1.453110364
[tex]\frac{\sqrt{6}+\sqrt{11} }{\sqrt{5} +\sqrt{3} }[/tex] is what I did.
A rectangle has length (4x+
5) and breadth 3x.Find the area of the rectangle.
Answer:
area =
Step-by-step explanation:
(4x+5)×3× = 12×^2+15
because
area = length × breadth
ans= 12x^2+15.
Step-by-step explanation: Area of a rectangle is length * breadth= distributive property of multiplication :(4x+5)*3x= 12x^2+15x [m^2 or sq.m}
Which is the best description for the graph?
The graph is increasing everywhere
The graph is decreasing everywhere
The graph is increasing then decreasing
The graph is decreasing then increasing
Answer:
D
Step-by-step explanation:
It's decreasing then once it hits the origin, it starts to increase again. I hope this helps you:)
Answer:
D
Step-by-step explanation:
Please answer this correctly
Answer:
3/20s
Step-by-step explanation:
(06.01 MC) What is the value of the expression shown below? 8 + (7 + 1) 2 ÷ 4 ⋅ (5 points) Select one: a. 7 b. 9 c. 21
Answer:
b. 9
Just use PEMDAS
If f(7) = 8 find
f-1(8)
Answer:
34293
Step-by-step explanation:
because it 36 and 45. it is right
I NEED HELP PLEASE, THANKS! :)
Find the angle θ between u = <7, –2> and v = <–1, 2>.
47.5°
42.5°
132.5°
137.5°
Answer:
Step-by-step explanation:
Cos θ = u*v
IuI *IvI
u * v = 7*(-1) + (-2)*2
= -7 - 4
= -11
IuI = [tex]\sqrt{7^{2}+(-2)^{2}}\\[/tex]
= [tex]\sqrt{49+4}\\\\[/tex]
= [tex]\sqrt{53}[/tex]
I vI = [tex]\sqrt{(-1)^{2}+2^{2}}\\[/tex]
= [tex]\sqrt{1+4}\\\\[/tex]
= [tex]\sqrt{5}\\[/tex]
Cos θ = [tex]\frac{-11}{\sqrt{53}*\sqrt{5} } \\\\[/tex]
= [tex]\frac{-11}{16.28}\\\\[/tex]
Cos θ = -0.68
θ = 132.5°
11.Which word or words best complete the sentence? Two lines that lie in parallel planes _____ intersect. Sometimes Always Never
Answer:
never intersect
Step-by-step explanation
parallel lines do not intersect and neither do parallel planes
What is the volume of this aquarium?
Answer:
9,000 inches^3
Step-by-step explanation:
The first part is 20 x 20 x 20, which equals 8,000
The second part is 10 x 10 x 10, which is 1,000
1,000 + 8,000 = 9,000
Simplify the expression 2³ × 2² A. 4⁵ B. 2⁶ C. 4⁶ D. 2⁵
Answer:
2^5
Step-by-step explanation:
The base is the same
2^3 * 2^2
We are multiplying, so we can add the exponents
2^3 * 2^2 = 2^(3+2) = 2^5
Answer: [tex]2^{5}[/tex]
Explanation: I have written this problem on the whiteboard.
For the problem on the board, since our two powers have like bases of 2, we can multiply them together by simply adding their exponents.
So 2³ · 2² is just [tex]2^{5}[/tex].
A common mistake in this problem would
be for students to say that 2³ · 2² is [tex]4^{5}[/tex].
It's important to understand however that when applying your
exponent rules, your base in this case 2 will not change.
A 12 sided die is rolled the set of equally likely outcomes is 123 456-789-10 11 and 12 find the probability of rolling a number greater than three
Answer:
6
Step-by-step explanation:
nerd physics
The expression 3 × 7 – 4 × 8 + 2 is equivalent to which of the following?
Answer:
-9
Step-by-step explanation:
3 time 7
minus
4 times 8
21 - 32
-11+2= -9
Listed below are the measured radiation absorption rates (in W/kg) corresponding to 11 cell phones. Use the given data to construct a boxplot and identify the 5-number summary.
1.26 0.98 1.07 0.97 1.28 0.89 1.14 0.58 1.42 0.59 0.96
The 5-number summary is :_______
Answer:
{ 0.58, 0.89, 0.98, 1.26, 1.42 }
Step-by-step explanation:
We are given the data set { 1.26, 0.98, 1.07, 0.97, 1.28, 0.89, 1.14, 0.58, 1.42, 0.59, 0.96 }, consisting of 11 elements, each the radiation of 11 cell phones.
To construct the " 5 - number summary " the first thing we want to do is arrange the numbers from least to greatest, to find the median of the data set,
{ 0.58, 0.59, 0.89, 0.96, 0.97, 0.98, 1.07, 1.14, 1.26, 1.28, 1.42 }
The median of this data set is thus 0.98 W / kg. Mind you the units are not required here!
____
Now that we have the median, we can determine the first and third quartile, which are simply medians of the data set to the left and right of the median,
{ 0.58, 0.59, 0.89, 0.96, 0.97, 0.98, 1.07, 1.14, 1.26, 1.28, 1.42 }
[tex]Q_1[/tex] = 0.89, [tex]Q_3[/tex] = 1.26
And of course the minimum and maximum of the data set are given to be 0.58, and 1.42
____
We have our 5 - number summary now! This includes the minimum, first quartile, median / second quartile, third quartile, and maximum values, in that order -
The 5 - number summary is { 0.58, 0.89, 0.98, 1.26, 1.42 }
And, your box and whisker plot is shown in the attachment below!
what is 3x3x4/45 does anyone know the answer
Answer:
4/5 or 0.8
Step-by-step explanation:
3*3*4/45
3*3=9
9*4=32
32/45=4/5
Hope it helps ;)
━━━━━━━☆☆━━━━━━━
▹ Answer
0.8 (4/5 or 8 × 10⁻¹)
▹ Step-by-Step Explanation
3 × 3 × 4 ÷ 45
3² × 4 ÷ 45
9 × 4 ÷ 45
36 ÷ 45
= 0.8 (4/5 or 8 × 10⁻¹)
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Alexa borrowed some money from her friend in order to help buy a new video game system. Alexa agreed to pay back her friend $10 per week and originally borrowed $170. Write an equation for L,L, in terms of t,t, representing the amount Alexa owes her friend after tt weeks.
Answer:
[tex]L(t) = 170 - 10t[/tex]
Step-by-step explanation:
The amount that Alexa owes after t weeks is given by a linear equation in the following format:
[tex]L(t) = L(0) - bt[/tex]
In which L(0) is the initial amount borrowed and b is how much is paid per week.
Alexa agreed to pay back her friend $10 per week and originally borrowed $170.
This means that, respectivelly, [tex]b = 10, L(0) = 170[/tex]. So
[tex]L(t) = L(0) - bt[/tex]
[tex]L(t) = 170 - 10t[/tex]
I'm not good ar graphs requesting assistance...
Answer:
Seven erasers cost $3.50
Hope this helps :)
Answer:
7 erasers cost 3.50
Step-by-step explanation:
Dividends Per Share Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 60,000 shares of cumulative preferred 3% stock, $20 par and 410,000 shares of $25 par common. During its first four years of operations, the following amounts were distributed as dividends: first year, $34,000; second year, $76,000; third year, $80,000; fourth year, $100,000. Determine the dividends per share on each class of stock for each of the four years. Round all answers to two decimal places. If no dividends are paid in a given year, enter "0.00". 1st Year 2nd Year 3rd Year 4th Year Preferred stock (dividends per share) $ 0.57 $ 0.63 $ 0.6 $ 0.6 Common stock (dividends per share) 0.00 0.09
Answer and Step-by-step explanation:
The computation of dividends per share on each class of stock for each of the four years is shown below:-
Particulars 1st year 2nd-year 3rd-year 4th year
Preferred dividend
paid a $34,000 $38,000 $36,000 $36,000
Number of preferred
stock b 60,000 60,000 60,000 60,000
Dividend per share
(a ÷ b) $0.57 $0.63 $0.60 $0.60
Dividend paid to common
stockholders c $0 $38,000 $44,000 $64,000
Number of common stock
shares d 410,000 410,000 410,000 410,000
Dividend per share
on common stock $0 $0.093 $0.11 $0.16
(c ÷ d)
Working note:
Preferred dividend = Number of preferred stock shares × Par value per share × Percentage of dividend
= 60,000 × $20 × 3%
= $36,000
Preferred stock
For 1st year
= $34,000
For 2nd-year
Dividend in year 2+ Dividend balance in year 1
= $36,000 + ($36,000 - $34,000)
= $38,000
For 3rd-year
= $36,000
For 4th year
= $36,000
Common stock dividend
Particulars 1 year 2 year 3 year 4 year
Total dividend paid $34,000 $76,000 $80,000 $100,000
Less:
Preferred stock
dividend $34,000 $38,000 $36,000 $36,000
Dividend paid to common
stockholders $0 $38,000 $44,000 $64,000
Answer quick! EASY! WILL GIVE YALL BRAINLIESTTT
Answer:
7
Step-by-step explanation:
:)
20 pts marking brainliest
Use law of sines to prove the angle bisector theorem
Answer: Angle Bisector Theorem uses angle bisectors of triangles and states a relation between lengths of segments along the triangle.
Step-by-step explanation: Given any triangle ABC with point D on A C . Then Generalized Angle Bisector Theorem states that [tex]\frac{BD}{DC}= \frac{ABsin DAB}{ACsin DAC}[/tex]
helpppppppp with this please will give bralienst
Answer:
n = 600
Step-by-step explanation:
To solve this equation:
1. Simplify all like terms: 5400/9 = 600 = n
2. The n cannot be simplified.
3. The answer is n = 600 because 5400/9 is 600 which is equal to n