Answer:
y= - 9/5x +5
Step-by-step explanation:
Slope- intercept form:
y= mx+bGiven line:
y= 5/9x - 5Perpendicular line to the given will have a slope of -1/m, which is - 9/5,
so the form of this line is:
y= -9/5x +bThis line passes through point (5, -4), plug in values of x and y, we find the value of b:
-4= -9/5*5 +b -4= - 9 +bb= 9-4b= 5The required line is:
y= - 9/5x +5Can someone please explain to me.
Answer:
A. 4.50 B. 1 : 3
Step-by-step explanation:
A.
First, think of Toby's money as 1/6x (x referring to the total amount of money) and Daoud's money as 1/2x.
It states that Toby gets 1.50, which means that 1/6x = 1.50.
To find what x is, multiply both sides by 6.
1/6x * 6 = 1.50 * 6
x = 9
Now that we know how much money there is in total, we can solve for Daoud's money. Daoud has 1/2x. We can substitute x for 9 and solve for Daoud's money.
1/2(9)
4.50
Daoud has 4.50.
B.
The problem states that Elsa gets the remaining money.
9 - (1.50 + 4.50)
9 - 6
3
Elsa gets 3.00.
Now, you can use turn solve the ratio of Toby's money and Elsa's money.
1.5 : 3
The problem states that they have to be whole numbers, so you can change the ratio to fit the requirements.
1 : 3
:) The bus fare of 12 passengers is Rs 540. If the fare is increased by Rs 5 per
passenger, how many passengers can travel for Rs 750?
Answer:
15 passengersStep-by-step explanation:
Original price,
Fare for 12 passengers = Rs 540
Fare for 1 passenger = [tex] \frac{540}{12} = 45[/tex]
Increased price,
Fare for 1 passenger = 45 + 5 = Rs 50
Let fare for X passengers be 750
[tex]x \times 50 = 750[/tex]
[tex]x = \frac{750}{50} [/tex]
[tex]x = 15[/tex]
Hence, 15 passengers can travel for Rs 750.
Hope this helps...
Good luck on your assignment..
help i will make u brainllest
Answer:
4 sqrt(7)
Step-by-step explanation:
We can use the leg rule
hyp leg
------- = -------------------
leg part
9+7 z
------- = -------------------
z 7
Using cross products
(9+7) *7 = z^2
16*7 = z^2
112 = z^2
Taking the square root of each side
sqrt( 16*7) = sqrt(z^2)
4 sqrt(7) = z
What is the value of this expression when t = -12?
-3|t − 8| + 1.5
Answer:
61.5
Step-by-step explanation:
-3 (t-8)+1.5
-3 (-12-8)+1.5
-3 (-20)+1.5
60+1.5= 61.5
The value of expression will be;
⇒ - 58.5
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ - 3 | t - 8 | + 1.5
And, The value of t = - 12
Now,
The expression is,
⇒ - 3 | t - 8 | + 1.5
Put t = - 12, we get;
⇒ - 3 | - 12 - 8 | + 1.5
⇒ - 3 | - 20 | + 1.5
⇒ - 3 × 20 + 1.5
⇒ - 60 + 1.5
⇒ - 58.5
Thus, The value of expression will be;
⇒ - 58.5
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Bryce has been investing in his employee sponsored retirement account since he was 23 years old. He is now 65 years old and ready to retire. He has invested a total of $30,000, but the total amount of money in his retirement account is currently $160,000. What is Bryces rate of return on his retirement investment?
Answer:
r = 64
Step-by-step explanation:
The number of years for the investment plan = 65-23= 32 years
Initial amount= $30000
Final amount= $160000
To find the rate of return
We will use the compound interest formula.
The number of times it was compounded= number of years because it was not compounded monthly.
A= p(1+r/n)^(nt)
160000= 30000(1+r/32)^(32*32)
160000/30000= (1+r/32)^(32*32)
5.333= (1+r/32)^(1024)
1024√5.333= (1+r/32)
1.001636073 = 1 +r/32
2.01636073= r/32
32(1.01636073)= r
64.05= r
ASAP!! Linear Relations Help
Answer:
Below
Step-by-step explanation:
a) To make a perpendicular line with the given linear equation, use the reciprocal of the slope, which is -(1/3) in this case.
So the equation for the first one is y = -(1/3)x
To find what x equals when going through the point (x, 4), plug in 4 for y and solve
y = -(1/3)x
4 = -(1/3)x
4/-(1/3) = -(1/3)x/-(1/3)
-12 = x
So, when y = 4, x = -12
b) Do the same thing for a, use the reciprocal for the slope for the perpendicular line, -4.
This makes the second equation y = -4x
Then plug 4 in for y again, instead using -4 as the slope
y = -4x
4 = -4x
4/-4 = -4x/-4
-1 = x
This shows that when y = 4, x = -1
I need help ASAP gghhjjnbbgghjiiuhjj
Answer:
Radius (for the top box)
Diameter (for the bottom box)
Step-by-step explanation:
The radius is a line segment touching the center of the circle to its perimeter.
The diameter is the longest line segment touching two points on the perimeter of the circle and one point on its center.
Sabrina is in charge of ordering t-shirts for the Freshman council to sell at school. She has to decide whether to order the shirts from Custom T-shirts or Fancy T-shirts. Custom T-shirts charges a one-time $15 set up fee and $8 per shirt ordered. Fancy T-shirts charges a one-time $60 set up fee and $5 per shirt ordered.
a. Find the cost of ordering 3 shirts for each company.
b. Write and solve an equation that gives the number of t-shirts for which the two companies will charge the same amount
Answer:
(a)The cost of ordering 3 Custom T-shirts is $39.
The cost of ordering 3 Fancy T-shirts is $75
(b)15 T-Shirts
Step-by-step explanation:
(a)Let n be the number of T-Shirts ordered
Custom T-shirts charges a one-time $15 set up fee and $8 per shirt ordered.
Cost, C=15+8n
Therefore, the cost of ordering 3 Custom T-shirts
= 15+8(3)
=15+24
=$39
Fancy T-shirts charges a one-time $60 set up fee and $5 per shirt ordered
Cost, C=60+5n
Therefore, the cost of ordering 3 Fancy T-shirts
= 60+5(3)
=60+15
=$75
(b)We are to determine the number, n at which the costs, C will be equal.
If C=60+5n and C=15+8n are equal, then:
60+5n=15+8n
8n-5n=60-15
3n=45
n=15
Therefore, the cost of both T-shirts will be equal when 15 T-shirts are ordered.
What is the range of y = log Subscript 2 Baseline (x minus 6)?
Answer:
Step-by-step explanation:
The graph of this function begins in Quadrant IV and rises rapidly, then continues rising in Quadrant I at a slower pace. The range is (-infinity, infinity).
The range of the value is given as all sets of real numbers.
What is the range of the value?We have been given the function f(x)= log2(x-6)
Given that it is a logarithmic function, there would be no definition for any negative numbers.
We have 2(x-6)>0
x-6>0
x is greater than 6
The Domain of f(x) is then given as any real number
The Range of the function is all of the possible values of f(x) after it has been substituted into the given function
i.e. Range of f(x) is therefore the set of all real numbers.
Complete question
What is the range of y=log2(x-6)?
A. all real numbers not equal to 0
B. all real numbers less than 6
C. all real number greater than 6
D. all real numbers
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Clare says’ this classroom is 11 m long in metres longer than a year so if I measure the length of the classroom I will get less than 11 yards .do u agree with Clare
Answer:
No I don't agree with Clare.
You will get more than 11 yards
Step-by-step explanation:
A spherical raindrop evaporates at a rate proportional to its surface area. Write down a differ- ential equation for its volume as a function as a function of time. Solve this equation, and find the constant of proportionality if a 1cm3 raindrop takes 10 seconds to evaporate.
Answer:
[tex]\dfrac{dV}{dt} =-4 \pi k (\dfrac{3}{4 \pi})^\dfrac{2}{3} }}V^{\dfrac{2}{3}}[/tex]
k = 3.022
Step-by-step explanation:
Given that:
A spherical raindrop evaporates at a rate proportional to its surface area.
The surface area SA of a spherical object is given by the relation:
SA = 4πr²
Write down a differ- ential equation for its volume as a function as a function of time.
So; to differentiate Volume (V) in respect to time (t) ;then:
[tex]\dfrac{dV}{dt} =-k( 4 \pi r^2)[/tex]
Likewise; we know known that the volume of a sphere V = [tex]\dfrac{4}{3} \pi r^3[/tex]
Thus, from above;
[tex]3V = 4 \pi r^3[/tex]
[tex]\dfrac{3V}{4 \pi} = r^3[/tex]
[tex]r^3 = (\dfrac{3}{4 \pi })^{\dfrac{2}{3}}V^{\dfrac{2}{3}}[/tex]
[tex]r^2 = 4 \pi( \dfrac{3}{4 \pi})\dfrac{2}{3}V\dfrac{2}{3}[/tex]
Thus; solving the differential:
[tex]\dfrac{dV}{dt} =-k( 4 \pi * 4 \pi( \dfrac{3}{4 \pi})\dfrac{2}{3}V\dfrac{2}{3})[/tex]
[tex]\dfrac{dV}{dt} =-4 \pi k (\dfrac{3}{4 \pi})^\dfrac{2}{3} }}V^{\dfrac{2}{3}}[/tex]
So;
we are to find the constant proportionality K
If Volume V = 1 cm³ and the time = 10 sec
[tex]\dfrac{1}{10} =-4 \pi k (\dfrac{3}{4 \pi})^\dfrac{2}{3} }}(1)^{\dfrac{2}{3}}[/tex]
0.1 = - 4π k (0.3848 × 1)
0.1 = - 4π k × 0.3848
4π k = 0.3848/0.1
4π k = 3.848
k = 3.848/4π
k = 3.022
HELP ASAP!!! I WILL GIVE THE MOST BRAINIEST TO WHOEVER ANSWERS IT RIGHT PUT THE ANSWER IN A BOX
Answer:
4/3*PI
OR 4.186 (6 REPEATING0
OR 1.3(3 REPEATING )*PI
Step-by-step explanation:
BECAUSE
THE FORMULA IS 4/3*PI*R^3=V
4/3*3.14*1=V
4/3*PI=V
OR 4.186 (6 REPEATING
OR 1.3(3 REPEATING )*PI
HOPE I HELPED
BRAINLIEST PLS
-ZYLYNN JADE
Answer:
4.19 in³
Step-by-step explanation:
The volume of a sphere is given by the formula:
V = [tex]\frac{4}{3}[/tex]*π*r³ r is the radius here it's 1so the volume is:
V = [tex]\frac{4}{3}[/tex]*3.14*1³
V= 4.1866 ≈ 4.19 in³
32 divided by 64 rounded to the neares 100
Answer:
.50
Step-by-step explanation:
32/64=.5. Since it is asking for the 100th place, you would add a decimal at the end.
Answer:
50
Step-by-step explanation:
so first do 32 divided by 64 then round it to the nearest 100.
Solve the system of equations by subsitution.
b = 4a +2
12a - 3b = -6
Answer:
infinite solution
Step-by-step explanation:
hello
we substitute b = 4a + 2 in the second expression
12a -3*(4a+2) = -6
<=> 12a -12a -6 = -6
<=> -6 = -6
which is always true
so there is infinite solution
hope this helps
Helppp!!!! please!!!
Answer:
option d is correct answer.
hope it helps..
D. 8.8 cm^3
Step-by-step explanation:
The formula for the volume of a cone is...
[tex]V=\frac{1}{3}\pi r^2h[/tex]
We can plug everything we know into the formula and convert pi to 3.14 since the answer choices aren't in pi.
[tex]V=\frac{1}{3}*( 3.14*1.45*1.45*4 )[/tex]
I prefer to do the 1/3 last, but it is entirely up to you!
Now solve...
[tex]V=\frac{1}{3}*26.4074[/tex]
Divide by 3.
V =
8.8 cm^3
can some body help me plz
Answer:
Length of each side of the square = 8 cm
Step-by-step explanation:
In the figure attached, diagrams of a right triangle and a square have been given.
"Area of the square is twice the area of the triangle."
Let one side of the square = x cm
Therefore, area of the square = x²
Area of the given triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(16)(4)[/tex]
= 32 cm²
Therefore, x² = 2 × 32
x² = 64
x = 8 cm
Therefore, length of each side of the square will be 8 cm.
Solve the Triangle if possible
A.) c=46°32',a=56.2 m,c=22.1 m
B.) a=200 m,A=32.76°,C=21.97°
Find the area of the triangle
C.) B=42°,a=7.2 ft,c=3.4 ft
Answer:
Step-by-step explanation:
A )
a / sinA = c / sinC
sinA = a sinC / c
= 56.2 sin 46.32 / 22.1
= 1.84
The value of sin value of an angle can not be more than 1 so the triangle is not possible .
B )
B = 180 - ( 32.76 + 21.97 )
B = 125.27
a / sin A = c / sin C
200 / sin 32.76 = c / sin21.97
c = 74.82 / .5411
= 138.27 m
b / sin B = a / sin A
b / sin 125.27 = 200 / sin 32.76
b = 163.28 / .5411
= 301.75 m
C )
Area of triangle = 1/2 ac sinB
= .5 x 7.2 x 3.4 x sin 42
= 8.19 sq ft .
Choose a number subtract 5 the result is 4
Answer:
3
Step-by-step explanation:
The price of an antique car in 2020 is 200% of its original price in 1980. By what percentage did the price increase over this 40-year period?
Answer: 100%
Step-by-step explanation:
Given the following :
Price of antique car in 2020 is 200% of its original price in 1980.
By what percentage did the price increase over this 40-year period?
Let the original price = x
x = price of car in 1980
Price of car in 2020 = 200% of x = 2x
Percentage increase in price is given by:
(increase / original price) × 100%
Increase = (price in 2020 - price in 1980)
[(Price in 2020 - price in 1980) / original price] * 100%
[(2x - x) / x] * 100%
[(2x - x) / x] * 100%
(x /x) * 100%
= 1 × 100%
= 100%
100x%
The percentage that the price increase over this 40-year period is 100%.
Percentage increaseUsing this formula
Percentage increase=(Current price-Original price)÷Original price × 100%
Let plug in the formula
Percentage increase= (200% of x1-1)/1×100
Percentage increase= 1 × 100%
Percentage increase= 100%
Inconclusion the percentage that the price increase over this 40-year period is 100%.
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The domain for f(x) and g(x) is the set of all real numbers.
Let f(x) = 3x + 5 and g(x) = x2.
Find f(x) · g(x).
A. 3x3 + 3x2 + 5
B. 3x3 + 5x2
C. 3x2 + 5
D. x2 – 3x – 5
Answer:
3x3 +5x2
Step-by-step explanation:
f(x).g(x)
(3x+5)(x2)
(3x×x2)(5×x2)
3x3+5x2
(08.01, 8.02 MC)
An expression is shown below:
4x3 - 20x2 +36x - 180
Part A: Rewrite the expression so that the GCF is factored completely. (4 points)
Part B: Rewrite the expression completely factored. Show the steps of your work. (6
points)
(10 points)
Answer:
4(x^3 -5x^2 +9x -45)4(x -5)(x^2 +9) = 4(x -5)(x -3i)(x +3i)Step-by-step explanation:
A) We observe that each coefficient is divisible by 4. The GCF of the terms is 4.
4x^3 - 20x^2 +36x - 180 = 4(x^3 -5x^2 +9x -45)
__
B) We further observe that the coefficients of each pair are in the ratio 1:-5, so we can factor pairwise:
= 4(x^2(x -5) +9(x -5)) = 4(x^2 +9)(x -5) . . . . factored completely in reals
The quadratic factor x^2+9 can be factored further if complex numbers are used:
= 4(x -3i)(x +3i)(x -5) . . . . factored completely in complex numbers
_____
Comment on the quadratic factor
The term x^2 +9 can be considered to be the difference of squares:
x^2 +9 = x^2 -(-9)
= x^2 -(3i)^2
= (x -3i)(x +3i)
The ratio of boys to girls in a class of
45 pupils is 2:7. How many girls are
there in the dass?
(a) 35
(b) 20
(c) 18
(d) 15
le) 10
Answer:
The answer is option A.
35.Step-by-step explanation:
To find the number of girls in the class we must first find the total parts
That's
2 + 7 = 9
In the ratio 7 correspond to girls so the number of girls in the class are
7/9 × 45
= 7 × 5
= 35
Hope this helps you
BRAINLIEST FOR CORRECT ANSWERRR
The function f(x) = −x^2 + 28x − 192 models the hourly profit, in dollars, a shop makes for selling sodas, where x is the number of sodas sold. Determine the vertex, and explain what it means in the context of the problem.
(12, 16); The vertex represents the maximum profit.
(12, 16); The vertex represents the minimum profit.
(14, 4); The vertex represents the maximum profit.
(14, 4); The vertex represents the minimum profit.
Answer:
Part A:
The vertex : x = - b / 2 a = - 28 : ( - 2 ) = 14
y = f ( 14 ) = - 14² + 28 · 14 - 192 = 196 + 392 - 192 = 4
The vertex is ( 14, 4 ). It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.
Part B :
We will solve the quadratic equation:
x 1/2 = ( - 28 +/- sqrt ( 784 - 768 ) ) / ( - 2 )
x 1 = 12, x 2 = 16.
It means that if the shop must sell more than 12 and less then 16 sodas if they want to make a profit ( 13, 14, or 15 ). If they sell 12, or 16 they will brake even.
I think
The vertex of the given function is option(C) (14,4) The vertex represents the maximum profit
What is a Quadratic function?A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two
What is Vertex of Quadratic function?The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry
Given,
[tex]f(x) =-x^{2} +28x-192[/tex]
Vertex
x= [tex]-\frac{b}{2a}[/tex]
x= [tex]-\frac{28}{2(-1)} =14[/tex]
y= [tex]-14^{2}+28(14)-192 =4[/tex]
Vertex (14,4)
It means that the maximum hourly profit is $4, and that the shop should sell 14 sodas to reach the maximum.
Hence, the vertex of the given function is option(C) (14,4) The vertex represents the maximum profit
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what is 9 times negative 3
━━━━━━━☆☆━━━━━━━
▹ Answer
-27
▹ Step-by-Step Explanation
9 × -3 = -3 + -3 + -3 + -3 + -3 + -3 + -3 + -3 + -3 + = -27
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
-27
Step-by-step explanation:
First mutiply 9 x -3
[tex]9 * -3=-27[/tex]
Since there is a negative the answer would be negative
[tex]Negative * Postive=Negative[/tex]
Therefore, the answer is -27
Hope this helps! :)
Answer by
Fishylikeswater
A pencil cup is a cylinder made of plastic with one base missing. The cup is 5 inches tall and has a radius of 1.75 inches. Approximately how many square inches of plastic were used to make the cup? 54.98 in.2 74.22 in.2 48.11 in.2 64.60 in.2
Answer:
74.22
Step-by-step explanation:
a pencil cup is like a cylinder
A=2πrh+2πr2=2·π·1.75·5+2·π·1.752≈74.22013
hope this helps
correct me if this is wrong
NEED HELP ASAP PLEASE WILL MARK BRANLIEST What would the equation of a hyperbola with directrices at x=±2 and foci at (6,0) (-6,0) be?
Answer:
The equation of the hyperbola can be presented as follows;
[tex]\dfrac{\left x \right ^{2}}{12} - \dfrac{\left y \right ^{2}}{24} = 1[/tex]
Step-by-step explanation:
We have the equation of an hyperbola given as follows;
[tex]\dfrac{\left (x - h \right )^{2}}{a^{2}} - \dfrac{\left (y - k \right )^{2}}{b^{2}} = 1[/tex]
The foal length = a² + b² = c²
c = focal length
The directrix = a²/c
The focal point are (h + c, k) and (h - c, k)
Therefore, by comparison with the given focal points, (6, 0) and (-6, 0), we have;
k = 0 and h + c = 6, h - c = -6
Therefore;
6 - c - c = -6
-2·c = -12
c = 6
h = 0
a²/c = 2
a² = 2 × 6 = 12
a = 2·√3
12 + b² = 6²
b² = 6² - 12 = 24
b² = 24
b = 2·√6
The equation of the hyper bola can then be written as follows;
[tex]\dfrac{\left (x - 0 \right )^{2}}{12} - \dfrac{\left (y - 0 \right )^{2}}{24} = 1[/tex]
Which gives
[tex]\dfrac{\left x \right ^{2}}{12} - \dfrac{\left y \right ^{2}}{24} = 1[/tex]
x² - y² = 12
y² = x² - 12.
ok gamers i just need an answer for this right here
Name the property of a definition illustrated by each of the following.
6(x-7)=6x-42
Answer:
I think this is the distributive property.
Step-by-step explanation:
help pls, Find PG if JG=18.
The length of PG using the centroid property is 6 unit.
The centroid divides each median into segments in a 2:1 ratio.
This means that the distance from the centroid to the vertex is twice the distance from the centroid to the midpoint of the opposite side.
Given:
JG = 18
As, the centroid divides each median into segments in a 2:1 ratio then
PG:PJ = 1:2
So, the length of PG
= 1/3 * (18)
= 18/3
= 6 unit
Thus, the length of PG is 6 unit.
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A rectangle has a fixed area of 24 cm². Complete these sentence: The length and width of the rectangle are ________ proportional and can be written in symbols as ________
Answer:
Step-by-step explanation:
The rectangle's are is 24cm²
Let x be the lenght and y be the width x*y = 24 ⇒ x=24/y so the width and lenght of a triangle are inversly proprtional and can be written in symbols as x∝ 1/yThe vertex of the graph of y = -4(x + 3)2 + 2 is ( , )
Answer:
Step-by-step explanation:
This quadratic is of the form
[tex]y=-a(x-h)^2+k[/tex] where h and k are the coordinates of the vertex. Notice that inside the parenthesis it very specifically follows the format (x - h)². That means that if you have something like what we have here, ( x + 3)^2, it was originally (x - (-3))^2, and the value for h is -3. k is much simpler to determine. Our 2 at the end is a +2, so the k is 2. The vertex then is (-3, 2).