Answer:
let the number of plate be n,rate be r and number of people be p
P=K(constant)/(n*t)
K=PNT
K=14*35*2
K=980
T=(K)/(PN)
T=980/(20*60)
T=980/1200
T=0.817 hours=49 minutes.
Find the measure of one exterior angle for the following regular polygon
1) Se o 5o e o 9-o termos de uma PA são, respectivamente, 40 e 68, então a razão r da progressão é: a) r = 6 b) r = 7 c) r = 9 d) r = 11 e) r = 12 2) Inserindo-se 6 números entre 72 e 107, de modo que a sequência (72, a2, a3, a4, a5, a6, a7 ,107) seja uma progressão aritmética, tem-se a3 igual a: a) 78 b) 79 c) 80 d) 81 e) 82
Answer:
1) b) r = 7
2) e) 82
Step-by-step explanation:
Progressão aritmética:
Em uma progressão aritmética, a diferença entre termos consecutivos é sempre a mesma, chamada de razão.
O n-ésimo termo de uma PA é dado por, tomando o primeiro termo como referência:
[tex]a_n = a_1 + (n-1)r[/tex]
Tomando o m-ésimo termo como referência, tem-se que:
[tex]a_n = a_m + (n-m)r[/tex]
1) Se o 5o e o 9-o termos de uma PA são, respectivamente, 40 e 68, então a razão r da progressão é:
[tex]a_5 = 40, a_9 = 68[/tex]. Então:
[tex]a_n = a_m + (n-m)r[/tex]
[tex]68 = 40 + 4r[/tex]
[tex]4r = 28[/tex]
[tex]r = \frac{28}{4} = 7[/tex]
Então a resposta correta é dada pela alternativa b.
2) Inserindo-se 6 números entre 72 e 107, de modo que a sequência (72, a2, a3, a4, a5, a6, a7 ,107) seja uma progressão aritmética, tem-se a3 igual a:
O primeiro termo é [tex]a_1 = 72[/tex] e o oitavo termo é [tex]a_8 = 107[/tex]. Com isso, é possível encontrar a razão.
[tex]a_n = a_1 + (n-1)r[/tex]
[tex]107 = 72 + 7r[/tex]
[tex]7r = 35[/tex]
[tex]r = \frac{35}{7} = 5[/tex]
Então, o terceiro termo é:
[tex]a_3 = a_1 + 2r = 72 + 2(5) = 82[/tex]
Logo, a resposta correta é dada pela alternativa e.
50 POINTS!!!! If you were on a rocket ship for a month that sat in between the moon and earth, how might moon phases be different? (need quickly!!!) also at least 2-4 sentences
Answer:I would sayif the planet earth was making a shadown on it. when u on other side
Step-by-step explanation:
That is the best i got
Answer:
Different times
Step-by-step explanation:
The closer you could get to the moon, the faster the phases will move. If you are about half way it should cut the time it takes to get through a season. Since you get closer to the object.
What is the value of x?
Answer:
x is equal to give
Hope am correct
Answer:
x = 5.
Step-by-step explanation:
x / (x + 5) = (x - 2)/(x+ 1)
x(x + 1) = (x - 2)(x + 5)
x^2 + x = x^2 + 3x - 10
x = 3x - 10
-2x = -10
x = 5.
9. Choose the equation that represents the graph below:
Answer:
y= -4/3 x + 4
Step-by-step explanation:
i guess
Can you answer this math homework? Please!
Answer:
1
Step-by-step explanation:
Answer:
They are both correct
Step-by-step explanation:
They started isolating different variables but essentially they have found the same answers just with different isolated variables, thus their answers look different, but in reality, are the exact same.We can test by plugging 5 in for x, and 15 in for y.
Jared:
[tex]y=x+10\\[/tex][tex]15=5+10[/tex][tex]15=15[/tex]Nicole:
[tex]x=y-10[/tex][tex]5=15-10[/tex][tex]5=5[/tex]Equations are equal.
Write an equation of the line that passes through the point (6, -9) with the given slope m = 3.
Answer:
y = 3x - 27
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 )
Here m = 3 , then
y = 3x + c ← is the partial equation
To find c substitute (6, - 9) into the partial equation
- 9 = 18 + c ⇒ c = - 9 - 18 = - 27
y = 3x - 27 ← equation of line
A 1-pound bag of sunflower seeds provides 96 grams of protein, There
are 58.5 grams of protein in a 6.5-ounce bag of pumpkin seeds. Which
type of seed has more grams of protein per ounce? How many more
grams of protein are there in 24 ounces of the higher-protein seeds?
Answer:
Pumpkin seed has more grams of protein per ounce
216 grams of protein
Step-by-step explanation:
1 pound = 16 ounce
16 ounce of sunflower seeds = 96 grams of protein
6.5 ounce of pumpkin seeds = 58.5 grams of protein
Which type of seed has more grams of protein per ounce?
Sunflower seeds:
Protein per ounce = 96 grams / 16 ounce
= 6 grams of protein per ounce
Pumpkin seeds:
Protein per ounce = 58.5 grams / 6.5 ounce
= 9 grams of protein per ounce
Therefore,
Pumpkin seed has more grams of protein per ounce
How many more grams of protein are there in 24 ounces of the higher-protein seeds?
Quantity of protein = 24 ounces ×
9 grams of protein per ounce
= 216 grams of protein
A stationer buys a gel pen Rs 20 and sells it at 20% profit.For what price should he buy it so that he can make 25% profit by selling for the same selling price.
Answer:
Current selling price = Rs 20 × 120 %
= Rs 24
Cost price should be [100 ÷ 125 ] × 24
= Rs 19.20
Help pls appreciate it pls
Answer: D.
Step-by-step explanation:
If we know that 1 side equal along with 1 angle is equal to the other triangles angle and side. Than only one answer really stands out (at least to me) if that makes any sense
Hope this helps
:)
How much less is 17km than 24.6km?
Answer:
[tex]7.4km[/tex]
Step-by-step explanation:
[tex]24.6km - 17km \\ = 7.4km[/tex]
hope this helps you.
Patricia has $34,000 to invest. She invests some at 17% and the balance at 20%. Her total annual interest income is $6245. Find the amount invested at each rate
Answer:
she invest $18,500 at the 17% rate and $15,500 at the 20% rate.
Step-by-step explanation:
Suppose that you invest some quantity A to an invest rate of x%
At the end, the amount you will have is given by:
Amount = A + A*(x%/100%)
Where:
A*(x%/100%) is the interest income
So, here she initially has $34,000
And she invest some quantity X to a 17% and a quantity Y to 20%
Then we have:
X + Y = $34,000
And we know that her total anual income is $6245
X*(17%/100%) + Y*(20%/100%) = $6245
Then we have a system of two equations:
X + Y = $34,000
X*(17%/100%) + Y*(20%/100%) = $6245
First we can rewrite the second one to a more simpler form:
X*(0.17) + Y*(0.20) = $6245
Now we can isolate one of the variables in the first equation to get:
X = $34,000 - Y
Now we can replace that in the other equation to get:
( $34,000 - Y)*0.17 + Y*0.20 = $6245
Now we can solve this for Y:
$34,000*0.17 + Y*(0.20 - 0.17) = $6245
$5,780+ Y*0.03 = $6245
Y*0.03 = $6245 - $5,780 = $465
Y = $465/0.03 = $15,500
And X = $34,000 - Y = $34,000 - $15,500 = $18,500
So she invest $18,500 at the 17% rate and $15,500 at the 20% rate.
ASAP please help meeeeeeeeeeeeeee
Answer:
7/10
(-4×-7)/(5×8)
=28/40
=7/10
Identify the values of the variables. Give your answers in the simplest radical form
Answer:
Step-by-step explanation:
x-(x-(x-y³)) use x=9, and y=1
Answer:
The answer: 8
Step-by-step explanation:
x-(x-(x-y³))
x=9 , y=1 —> 9 - (9-(9-1³)) —> 9 - (9-(8))—> 9 - ( 1) —> =8
HELP QUICK ILL GIVE BRAINLIEST
Answer:
A=35 degrees, B=55 degrees, C=110 degrees
Step-by-step explanation:
The 35 degree given angle is vertical angles with A, so they are congruent
The sum of angles in a triangle is 180, and we already have 2 angles (35 and 90) so subtract those and you get 55
angle c and the other given angle (70 degrees) are supplementary so subract 70 from 180
¿Qué se requiere para sumar o restar dos matrices?
Can someone help me with this math homework please!
Answer:
negative
Step-by-step explanation:
Let,
x1 = 0
x2 = 1
y1 = 50
y2 = 44
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope
= ( 44 - 50 ) / ( 1 - 0 )
= - 6 / 1
= - 6
- 6 is a negative number.
So, the slope is negative.
Can someone explain this to me thank you
Answer: x = 16.9
Concept:
Here, we need to know the idea of basic trigonometry.
Sine = Opposite / Hypotenues = O / H
Cosine = Adjacent / Hypotenues = A / H
Tangent = Opposite / Adjacent = O / A
Solve:
Angle θ = 50°
Opposite = x
Hypotenues = 22
Given formula
Sine = Opposite / Hypotenues
Substitute the value into the formula
sin (50) = x / 22
Multiply 22 on both sides
sin (50) × 22 = x/22 × 22
x = 22 sin (50)
x = 16.9
Hope this helps!! :)
Please let me know if you have any questions
Answer:
16.85
Step-by-step explanation:
SOH CAH TOA
sin 50 = about 0.766
times by 22 then u get
16.85
Hope this helps
The midpoint of AB is M(1,1). If the coordinates of A are (3, 3), what are the coordinates of B?
Answer:
The answer in (-1,-1) because it goes down by x-2 and y-2
Please help
I am giving all my points for this (15 points)
Select all input values for which g(x)=8.
Choose all answers that apply:
(Choice A)
x=−4
(Choice B)
x=6
(Choice C)
x=9
(Choice D)
None of the above
Answer:
D. none of the above
Step-by-step explanation:
If g(x)=8 is the only equation, then none of the answers are correct. The correct answer would have been 8 because 8=8.
3(5-4)+2(5)-5 squared
the answer should be -12 if I did the math right.
Step-by-step explanation:
3*1+10-5^2(we subtract 5 from 4 first because it was inside bracket)
3+10-25(Square of 5 is 25)
-12(subtracting the above equation 12 comes)
Today only, a desk is being sold at a 33% discount. The sale price is $268. What was the price yesterday?
Discount percent = 33%
Sale price = $268
Let the original price be $x.
So,
[tex]x - (33\% \: of \: x) = 268 \\ = > x - ( \frac{33}{100} \times x) = 268 \\ = > x - ( \frac{33x}{100}) = 268 \\ = > \frac{100x}{100} - \frac{33x}{100} = 268 \\ = > \frac{(100x - 33x)}{100} = 268 \\ = > \frac{67x}{100} = 268 \\ = > 67x = 268 \times 100 \\ = > 67x = 26800 \\ = > x = \frac{26800}{67} \\ = > x = 400[/tex]
So, yesterday the price was $400.
Factor the following polynomial 9x2 + 21x – 18
Answer:
factors are
21 and x
Step-by-step explanation:
equation 9 × 2 + 21x - 18
terms 9 , 2, 21x, -18
factors 21x = 21 and x
Answer:
3(x + 3)(3x - 2)
Step-by-step explanation:
Given
9x² + 21x - 18 ← factor out 3 from each term
= 3(3x² + 7x - 6) ← factor the quadratic
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 × - 6 = - 18 and sum = + 7
The factors are + 9 and - 2
Use these factors to split the x- term
3x² + 9x - 2x - 6 ( factor first/second and third/fourth terms )
3x(x + 3) - 2(x + 3) ← factor out (x + 3) from each term
(x + 3)(3x - 2)
Then
9x² + 21x - 18 = 3(x + 3)(3x - 2) ← in factored form
What are the steps to this problem (and the answer?)
Answer:
[tex](25 {x}^{2} + 20xy + 16 {x}^{2} )(5x - 4y) = \\ 125 {x}^{3} + 100 {x}^{2} y + 80x {y}^{2} - 100 {x}^{2} y \\ - 80x {y}^{2} - 64 {y}^{3} = \\ 125 {x}^{3} - 64 {y}^{3} \\ please \: give \: brainliest[/tex]
A student buys 5-cent, 10-cent, and 15-cent stamps, with a total value of $6.70. If the
number of 5-cent stamps is 2 more than the number of 10-cent stamps, while the
number of 15-cent stamps is 5 more than one half the number of 10-cent stamps, how
many 15-cent stamps did the student obtain?
which expression is equivalent to (4 square root 5 to the power of 3) to the power of 1/2?
the answer is on the photo
If a zero is
, then the graph of its function only touches the x–axis at that zero.
Answer:
Step-by-step explanation:
Yes. The zeroes of a graph are the values of x where the graph touches (or crosses) the x-axis.
What is the rate of change of the function shown on the graph? Round to the nearest tenth.
The coordinates of the image of P(3,-4) under a reflection in the x-axis are:
A. (3,4)
B. (4, -3)
C. (-4, 3)
D. (-3,-4)
Answer:
D. (-3,-4)
Step-by-step explanation:
PLACE YOUR GRAPH TOWARDS A MIRROR.....
The new coordinate of the image after the reflection in the x-axis is [tex]P'(3, 4)[/tex].
What is reflection?Reflection is a type of rigid geometrical transformation that maintains the object's size and shape, unlike other transformations such as dilation, which changes the size of the shape, reflection results in congruent images.
What is the rule for the reflection in the x-axis?The rule for the reflection over the x axis is "if the point (x, y) reflected in axis the it becomes (x, -y).
According to the given question.
We have a coordinates of the image of P(3, -4).
So, when the coordinates of the image is reflected in the x-axis then the x coordinate remains same but the y coordinate changes its sign from negative to positive and we get the new coordinate of the image that is [tex]P'(3, 4).[/tex]
Hence, the new coordinate of the image after the reflection in the x-axis is [tex]P'(3, 4)[/tex].
Find out more information about reflection here:
https://brainly.com/question/15175017
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