55%
Step-by-step explanation:
percentage of swimming
10%+35%=45%
100%-45%=55%
Two domestic courier services charge as per the functions y = 4x + 1 and y = 3x + 2, where x represents the weight of the parcel in pounds and y represents the total cost of the parcel. For what weight is the total cost the same in both services?
Answer:
1 pound
Step-by-step explanation:
Given the cost function of two domestic courier services.
y=4x+1y=3x+2We want to determine the weight (x) at which the costs (y) will be the same.
Since y=4x+1 and y=3x+2, then:
4x+1=3x+2
4x-3x=2-1
x=1 pound
When the weight of the parcel is 1 pound, the total cost of the parcel will be the same for the two domestic courier.
PLEASE HELP ASAP!!!!!!!!
Answer:
a)f(o)=12
f(1)=0
f(12)=1320
c)x=1
Step-by-step explanation:
Eve is organizing a race to raise money for a local children's hospital. She makes $20 for each 5K participant and $45 for each 10K participant. Her goal is to raise $9,500. If x represents the number of participants in the 5K race and y represents the number of participants in the 10K race, the linear equation for the given scenario is x + y = .
Answer:
225
Step-by-step explanation:
(9000/45) + (500/20) =200 + 25 = 225
x=25, y=200
Answer:
Step-by-step explanation:
It is given that x is the number of participants in the 5K race and y is the number of participants in the 10K race.
20x+45y=9500
Eve makes $20 for each 5K participant and $45 for each 10K participant. She wants to raise $9,500. The linear equation below represents the given scenario.
20x+45y=9500
20(200+45y=9500
4400+45y=9500
45y=9500
y ==113.3 (curvy equal sign)
If Eve raises exactly $9,500 and there are 220 5K participants, the number of 10K participants is found as shown below.
It is not possible to have 113.3 participants in the 10K race. So, no, it is not possible for Eve to raise exactly $9,500 if there are 220 participants in the 5K race.
Find the measure of angle C of a triangle ABC, if: m∠A = α, m∠B = 2α Find m∠C
Answer:
180°- 3α
Step-by-step explanation:
By angle sum postulate of a triangle.
[tex] m \angle \: A+ m \angle \: B + m \angle \: C = 180 \degree \\ \alpha + 2 \alpha + m \angle \: C = 180 \degree \\ 3 \alpha + m \angle \: C = 180 \degree \\ \huge \red{ \boxed{\angle \: C = 180 \degree - 3 \alpha}} \\ [/tex]
In a triangle [tex]ABC[/tex] the measure of angle [tex]C[/tex] is equals to [tex](180 - 3\alpha )\°[/tex].
What is triangle?" Triangle is defined as the two dimensional geometrical shape with three sides , three vertices and three angles enclosed in it.Sum of all the interior angles in a triangle is equals to [tex]180\°[/tex]. "
According to the question,
In a triangle [tex]ABC[/tex],
Given measure of angles,
[tex]m\angle A = \alpha \\\\m\angle B = 2\alpha[/tex]
Sum of all the interior angles in a triangle is equals to [tex]180\°[/tex].
Therefore,
[tex]m\angle A + m\angle B + m\angle C = 180\°[/tex] ________[tex](1)[/tex]
Substitute the value of [tex]m\angle A , m\angle B[/tex] in [tex](1)[/tex] we get,
[tex]\alpha + 2 \alpha + m \angle C = 180\°\\\\\implies 3\alpha + m \angle C = 180\°\\\\\implies m \angle C = 180\°- 3\alpha[/tex]
Hence , in a triangle [tex]ABC[/tex] the measure of angle [tex]C[/tex] is equals to [tex](180 - 3\alpha )\°[/tex].
Learn more about triangle here
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Para ampliar uma sala quadrada, foram acrescentados 4 metros em seu comprimento e 2 metros em sua largura, conforme a figura. Qual polinômio apresenta a área dessa sala após a ampliação? *
a) x² + 4x + 8
b) x² + 6x + 8
c) x² + 2x + 8
d) x² + 8
e) 2x + 6
Answer:
b) [tex]x^2 + 6x + 8[/tex]
Step-by-step explanation:
Para ampliar la habitación cuadrada, se agregaron 4 metros de largo y 2 metros de ancho, como se muestra en la figura.
Deje que la longitud y el ancho de la habitación antes de la expansión sean x.
La nueva longitud de la sala es (x + 4).
El nuevo ancho de la sala es (x + 2).
La nueva área de la sala será:
[tex](x + 4)(x + 2)\\x^2 + 2x + 4x + 8\\x^2 + 6x + 8\\\\[/tex]
Esa es la nueva área de la habitación.
what are the coordinates of that center of a circle if the endpoints of its diameter are a(8,-4) and b(-3,2)?
The coordinates of that center of a circle with endpoints of its diameter at a(8,-4) and b(-3,2) is (2.5, -1)
The standard equation of a circle is:
(x - a)² + (y - b)² = r²
where (a, b) is the center of the circle and r is the radius of the circle.
Given the diameter endpoints at a(8,-4) and b(-3,2), let (x, y) be the center of the circle, hence:
[tex]x=\frac{8-3}{2} =2.5\\\\y=\frac{-4+2}{2}=-1[/tex]
Hence the center of the circle is at (2.5, -1)
The coordinates of that center of a circle with endpoints of its diameter at a(8,-4) and b(-3,2) is (2.5, -1)
Find the height of a triangle that had area of 30sqaure deer units and a base measuring 12units
Answer:
h = 5 units
Step-by-step explanation:
Step 1: Plug in known variables into formula
A = 1/2bh
30 = 1/2(12)h
Step 2: Multiply both sides by 2 (To get rid of fraction)
60 = 12h
Step 3: Divide both sides by 12
h = 5
Answer: 5 units
Step-by-step explanation:
30 devided by 12 then multiply that by 2
A function that models the profit for a new pet-monitoring system shows that there is no profit made until the price reaches
$95 per unit, a maximum profit at a price of $140 per unit, and no profit at a price over $185 per unit. Which graph models
the function?
Graphing
Answer:
The graph that best fits this model of profit and price per unit is attached to this solution.
Step-by-step explanation:
A couple of graphs are missing from the question. According to the full question as obtained online, there are a number of graph options, and we are expected to pick the best option. I would not add all the other graphs to limit the chances of deletion due to violating community guidelines.
The function is to model the profits of a new pet-monitoring system, so, if the profits are y and x is the price per unit, y = f(x)
The profits vary as the price per unit varies, there is no profit made until the price reaches
$95 per unit, a maximum profit at a price of $140 per unit, and no profit at a price over $185 per unit.
This description of the curve shows that y is negative at values of x less than $95, then the profits increase when x varies between $95 and $140. The profits reach a maximum at $140 and then the profits start to decline as x increases again, the profits go to 0 at x = $185.
This description shows that the function is a quadratic function with a graph that is n-shaped, peaking at x=185 and the graph crosses the x-axis at x=95 and x=185.
The most fitting graph for this model is attached to this solution provided.
From the graph, all the descriptions above are evident.
Hope this Helps!!!
Answer:
Graph A!
Step-by-step explanation:
just passed on edge 2020
Which of the following lines of Shelly's "On the Medusa of Leonardo Da Vinci in the
Florentine Gallery" appeal to the sense of hearing and sight at the same time?
1. Whereon the lineaments of that dead face
2. Are graven, till the characters be grown
3. Into itself, and thought no more can trace;
4. 'Tis the melodious hue of beauty thrown
A:Tis the melodious hue of beauty thrown
B:into itself,and thought no more can trace
C: Are graven,till the characters be grown
D: Whereon the linements of that dead face
explain answer this question is English
Answer:
A: Tis the melodious hue of beauty thrown .
Explanation:
An appeal to the sense of hearing and sight will be something that presents an act that gives the readers a sense of the sounds in the writing. While an appeal to the sense of sight will present an image or a form of the picture to the readers. These types of sense appeals are used by writers to engage their readers' interest and keep them hooked.
In Percy Bysshe Shelly's poem "On the Medusa of Leonardo Da Vinci in the Florentine Gallery", the poet talks about the goddess Medusa but most importantly talks about the painting of "Medusa" by Da Vinci. The poem structured in the iambic pentameter scheme presents an image of Medusa and also how she was depicted by Da Vinci in his work. Out of the given options from the second stanza of the poem, the line that appeals to the sense of hearing and sight is "Tis the melodious (hearing/ sound) hue of beauty thrown (sight)".
Thus, the correct answer is option A.
Multiply the following complex numbers:
(7-3i)(8 + 4i)
Answer:
A
Step-by-step explanation:
Noting that i² = - 1
Given
(7 - 3i)(8 + 4i) ← expand factors using FOIL
= 56 + 28i - 24i - 12i²
= 56 + 4i - 12(- 1)
= 56 + 4i + 12
= 68 + 4i → A
Answer:
A. A. A. A. A. A. A. A. A.
Step-by-step explanation:
A cell phone company orders 400 new phones from a manufacturer. If the probability of a phone being defective is 2.1%, predict how many of the phones are likely to be defective.
Answer: there would be 8 defective phones.
Step-by-step explanation: assuming that only 2 percent is defective and the other 98 are not, every hundred phones ordered, two would be defective.
i need a graph of y=3x−1
Ah, simple!
It's important to identify what each part of your equation, which is in slope intercept form.
Let's break it down:
3x = Slope (in this case, it would be [tex]\frac{3}{1}[/tex], which means to go to the up three units, and right one unit)
-1 = Y-intercept (where your line begins)
If there's any confusion, feel free to leave a comment.
Any answers plzzzzzz
Answer:
A = 3[tex]r^{2}[/tex]
Step-by-step explanation:
r = [tex]\sqrt{\frac{A}{3} }[/tex]
r = [tex](\frac{A}{3})^{1/2}[/tex]
square both sides:
[tex]r^{2}[/tex] = [tex]\frac{A}{3}[/tex]
multiply 3 to both sides:
3[tex]r^{2}[/tex] = A
Answer:
[tex] a= 3r {}^{2} [/tex]
[tex] \sqrt{ \frac{a}{3} } = r \\ \frac{1}{3a} = r {}^{2} \\ \frac{1}{3a} \frac{1}{3} = r {}^{2} \frac{1}{3} \\ a = 3r {}^{2} [/tex]
3. if kx² + 2x + k = -kx have equal roots, find the values of k.
Answer:
k = - [tex]\frac{2}{3}[/tex] , k = 2
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
The condition for equal roots is b² - 4ac = 0
Given
kx² + 2x + k = - kx ( add kx to both sides )
kx² + 2x + kx + k = 0 , that is
kx² + (2 + k)x + k = 0 ← in standard form
with a = k, b = 2 + k and c = k , thus
(2 + k)² - 4k² = 0 ← expand and simplify left side
4 + 4k + k² - 4k² = 0
- 3k² + 4k + 4 = 0 ( multiply through by - 1 )
3k² - 4k - 4 = 0 ← in standard form
(3k + 2)(k - 2) = 0 ← in factored form
Equate each factor to zero and solve for k
3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = - [tex]\frac{2}{3}[/tex]
k - 2 = 0 ⇒ k = 2
Circle O is circumscribed About triangle ABC?
a: line AB
b: line AO
c: line ob
Is a diameter of circle O is the
a: Endpoint
b: midpoint
c: vertex
Of AB
Answer:
The correct options are;
a: line AB Is a diameter of circle O is the b: midpoint of AB
Step-by-step explanation:
Given that the circle with circumscribes the triangle, we have;
The definition of the circle allows either its radius or center to be specified, in this case, the on pint specified is O which would be the center
Given that from the options, we have AO and Ob , therefore, the line AB passes through the center and the correct option is a. line AN is a diameter of circle O is the b. midpoint of AB.
Answer:
line AB
midpoint
Step-by-step explanation:
$3000 is deposited in an account
that pays 5% interest,
compounded quarterly, for 10
years. How much more would be
in the account if the interest were
compounded continuously rather
than quarterly?
Answer:
$15.30
Step-by-step explanation:
The formula for the account balance with continuous compounding is ...
A = Pe^(rt)
For the given values, this is ...
A = $3000·e^(0.05·10)
A ≈ $4946.16 . . . . balance with continuous compounding
__
The amount with quarterly compounding is ...
A = P(1 +r/n)^(nt)
A = $3000(1 +.05/4)^(4·10)
A ≈ $4930.86 . . . . balance with quarterly compounding
__
The difference is ...
$4946.16 -4930.86 = $15.30
The continuously compounded account would earn $15.30 more in 10 years.
Please help me I keep getting long and I do not know what I’m doing
Answer:
-2
Step-by-step explanation:
Trial and error with multiples of 5.
The first one Tried was 15 and
I got kJ and kl= 15. But that’s not right as they are equal now.
Note that the numbers we are trying are the difference between j and k and not where k is,yet
So, I tried 25
K = -27 + 25 = -2
K from l = 3-5(because ratio was five to one) =-2
Hope this helps
Earth has a diameter of approximately 8,000 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of Earth? (Use 3.14 for π) A. 2,512,000 miles B. 25,120 miles C. 1,256,000 miles D. 12,560 miles
Answer:
Earth's circumference is approximately 25,120 miles because if you plug in 8,000 and 3.14 into the formula C = πd, C = 25,120.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Which sets of values belong to the domain and range of a relation?
output values
Domain
Range
values for the independent variable
input values
values for the dependent variable
Answer:
see below
Step-by-step explanation:
The domain is the input values which is the independent variable
The range is the output values which is the dependent variable
Complete the work to solve for y
?(3y+5) – 5 = Ży-1+ toy
1
Distributive property
- 1 +
10
2. Combine like terms:
=
3
5
3. Subtraction property of equality
11
Addition property of equality
2
5 Y
Division property of equality
What is the value for y?
Answer:
Graphing Linear Inequalities
This is a graph of a linear inequality:
linear inequality y <= x +2
The inequality y ≤ x + 2
You can see the y = x + 2 line, and the shaded area is where y is less than or equal to x + 2
Linear Inequality
A Linear Inequality is like a Linear Equation (such as y = 2x+1) ...
... but it will have an Inequality like <, >, ≤, or ≥ instead of an =.
How to Graph a Linear Inequality
First, graph the "equals" line, then shade in the correct area.
There are three steps:
Rearrange the equation so "y" is on the left and everything else on the right.
Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
Shade above the line for a "greater than" (y> or y≥)
or below the line for a "less than" (y< or y≤).
Let us try some examples:
Example: y≤2x-1
1. The inequality already has "y" on the left and everything else on the right, so no need to rearrange
2. Plot y=2x-1 (as a solid line because y≤ includes equal to)
Which expresion has a value o 15 when n = 7
Answer:
19 - 28/n
n= 7
19 - 28/7
19-4
= 15
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial? x2 - x-12 A) x+6 B) x+4 C) x-4 D) x-6
Start by setting up your two sets of parenthses.
X² breaks down into x and x.
What we are looking for is factors of the constant term
that add to the coefficient of the middle term.
The question is, what is the coefficient of the middle term
in this problem if there is nothing written in front of the x.
Well if there is nothing written there,
the coefficient is understood to be 1.
So what we are looking for are factors of -12 that add to -1.
Factors of -12
+12 · -1
-12 · +1
+6 · -2
-6 · +2
+4 · -3
-4 · + 3
We can see that -4 and +3 add to -1.
So they go in the second position of each binomial.
This gives us (x - 4)(x + 3) as our answer.
If there are four teams in a league, how many games will have to be played so that each team plays every other team once?
Answer:
6 matches
Step-by-step explanation:
Let’s call the teams A B C D
A will play B C D = 3 matches
B will play only C and D as it already played A, making 2 matches
C will play D, making 1 match
D has already played all
Total number of matches is thus 3 + 2 + 1 = 6 matches
Joan waters her plants each day with gallons of water. With a new irrigation system in place, she uses gallons of water each day. How many gallons of water does she save in a 30-day period with the irrigation system?
Answer:
[tex]172\frac{1}{2}[/tex] gallons
Step-by-step explanation:
Considering she waters her plants with 25 1/2 gallons i.e 51/2
and with the new system, she does it with 19 3/4 i.e 79/4
taking the difference:
[tex]\frac{51}{2} - \frac{70}{4}[/tex] = [tex]\frac{23}{4}[/tex] gallons per day
For 30 days:
30 x [tex]\frac{23}{4}[/tex] = 172.5 or [tex]172\frac{1}{2}[/tex] gallons
Una compañía fabricó tres tipos de muebles: sillas, mecedoras y
sofás. Para la fabricación una silla, se necesitan 1 unidad de madera, 1
de plástico y 2 de aluminio; una mecedora lleva 1 unidad de madera, 1
de plástico y 3 de aluminio, mientras que para un sofá se precisa
utilizar 1 unidad de madera 2 unidades de plástico y 5 unidades de
aluminio. La compañía disponía de 400 unidades de madera, 600 de
plástico y 1500 de aluminio. Sabiendo que utilizó todas sus existencias
de materiales, ¿cuántos muebles de cada tipo fabricó (sillas, mecedoras,
sofás)? sistema de ecuación 3*3 método cramer
Answer:
neuf mille
je ne suis pas sûr
Step-by-step explanation:
a two digit number is such tht product is 15 . When 18 is added to the numberthe digits interchange .Find the numbers?
Answer:
35
What are the factors of 15?
1,15
3,5
It is a two digit number so it has to be 35 or 53
Add 18 to both numbers
35 + 18 = 53
53 + 18 = 71
35 became 53 so 35 is the answer
Hope this helps
Step-by-step explanation:
Please help there’s a picture
60°
60
Y=?
Answer:
Pretty sure it's 90 degrees
Step-by-step explanation:
The train to San Fernando travels 120 miles per hour. How long will or trip take if San Fernando is 750 miles away? A. 6 hours 15 minutes B. 6 hours C. 5 hours 30 minutes D. 5 hours 15 minutes
Answer: A 6 hours 15 minutes
Step-by-step explanation:
Time = Distance / Speed
Time = 750 / 120
Time = 6.25
Answer:
A. 6 hours and 15 minutes
Step-by-step explanation:
=> 120 miles = 1 hour
=> 1 mile = 1/120 hour
Multiplying both sides by 750
=> 750 miles = hours
=> 750 miles = 6.25 hours
=> 750 miles = 6 hours 15 minutes
the line ab has midpoint (-2, 4) a has coordinates (3, -2) find the coordinates of b
Answer:
b = (- 7, 10 )
Step-by-step explanation:
Given the endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]
let the coordinates of b = (x, y ) then use the formula and equate to the coordinates of the midpoint, that is
[tex]\frac{1}{2}[/tex] (x + 3) = - 2 ( multiply both sides by 2 )
x + 3 = - 4 ( subtract 3 from both sides )
x = - 7
[tex]\frac{1}{2}[/tex] (y - 2) = 4 ( multiply both sides by 2 )
y - 2 = 8 ( add 2 to both sides )
y = 10
Thus the coordinates of b are (- 7, 10 )
What is the measure of arc ADC if the measure of arc BC is 52 degrees
Answer:
bc 52dndnxnnxxjxmsowkdkdodjdjdidj