Answer:
b = sp
Step-by-step explanation:
box = seeds per packet
The given relation can be used to find the total number of seeds in box b, using the equation b = sp. Hence, 3rd option is the right choice.
What are equations?Equations are relations shown between two equal algebraic expressions.
How do we solve the given question?We are given a box of sunflower seeds, containing p packets of seeds, each of which contains s number of seeds.
We are asked to write an equation that can be used to find the total number of seeds in the box, b.
We know that the box contains p packets of seeds.
In 1 packet we have s number of seeds.
∴ In p packets, we will have an s*p number of seeds or sp seeds.
Since the box contains p packets and the total number of seeds in the box is b, then we can say that
b = the number of seeds in p packets
or, b = sp, which is the required equation.
∴ The given relation can be used to find the total number of seeds in box b, using the equation b = sp. Hence, 3rd option is the right choice.
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Solve the System of Equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step).
a) x+y=1
2x+y=5
b) x+2y = 4
x +y = 1
c) x-y=-5
x+y= 11
Pls show your work as I want to understand how to solve this type of equation.
Answer:
b no. is the correct answer
I will mark brainliest for the first person to answer my question
Answer:
A. Line
<------------->
B. Angle
⦟
C. Line Segment
.___________.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Write an equation in slope-intercept form for the line that passes through (6,6) and is
perpendicular to the line described
Answer:
Step-by-step explanation:
Solution :
Hello:
an equation for the line is : y =mx +b (m: is a slope )
perpendicular to the line described by : y = 2/3 x -2
So : product for two slopes = -1 means : m×2/3=-1
m = -3/2
now : y = -3/2 x+b
but this line :
through the point (6,6) : 6 =(-3/2)(6)+b....... b=15
conclusion :
the equation is : y = -3/2x +15
During a phone call about the system of equations {5x + 2y = 8 , 8x + 4y = 8}, Dylan told Max, “It’s easy, just set them equal to each other.” But Max replied, “That doesn’t help — I get −2y = 3x. What good is that?” Help these two students solve the problem.
Answer:
x = 4
y = -6
Step-by-step explanation:
5x + 2y = 8
8x + 4y = 8
-2(5x + 2y) = -2(8)
8x + 4y = 8
-10x -4y = -16
8x + 4y = 8
-10x -4y + 8x + 4y = -16 + 8
-2x = -8
x = 4
plug 4 into x so y = -6
The area and the perimeter of a square are equal. Find the side
length of the square.
please help me
Answer:
side length = 4
Step-by-step explanation:
Let x = the side length
Area is x•x, which is x^2.
Perimeter is x+x+x+x, which is 4x.
x^2 = 4x
x^2 - 4x = 0
Factor.
x(x-4) = 0
x = 0 or x = 4
Discard 0 as an answer as it is not useful.
x = 4.
Area = 4^2 = 16
Perimeter = 4(4)= 16
The side length is 4.
: Customers arrive at a shopping mart randomly at a rate of 7 per hour.
a) Find the probability that during any 90 minutes’ period, the number of customers arriving at the shopping mart is exactly 8
b) If a customer arrives at 11. 30 am, find the probability that the next patient arrives before
11. 45 am
Using the Poisson distribution, it is found that the probabilities are given by:
a) 0.1009 = 10.09%.
b) 0.8262 = 82.62%.
What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.Item a:
The mean is of 7 customers for 60 minutes, hence, for 90 minutes = 1.5 x 60 minutes, the mean is given by:
[tex]\mu = 1.5 \times 7 = 10.5[/tex]
The probability of exactly 8 customers is of P(X = 8), hence:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 8) = \frac{e^{-10.5}10.5^{8}}{(8)!} = 0.1009[/tex]
Item b:
Probability of at least one patient in 15 minutes, hence:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
For 15 minutes, the mean is given by:
[tex]\mu = 0.25 \times 7 = 1.75[/tex]
Then:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 8) = \frac{e^{-1.75}1.75^{0}}{(0)!} = 0.1738[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1738 = 0.8262[/tex]
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Solve the initial value problem d y d x = 2 x 1 , y ( 0 ) = 2
Using separation of variables, it is found that the solution to the initial value problem is of y(x) = x² + 2.
What is separation of variables?In separation of variables, we place all the factors of y on one side of the equation with dy, all the factors of x on the other side with dx, and integrate both sides.
In this problem, the differential equation is given by:
[tex]\frac{dy}{dx} = 2x[/tex]
Then, applying separation of variables:
[tex]dy = 2x dx[/tex]
[tex]\int dy = \int 2x dx[/tex]
[tex]y = x^2 + K[/tex]
Since y(0) = 2, we have that the constant of integration is K = 2, and the solution is:
y(x) = x² + 2.
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The differential equation is y(x) = x² + 2.
What is the differential equation?Differential Equations In Mathematics, a differential equation is an equation that contains one or more functions with their derivatives.
The given equation is;
[tex]\rm \dfrac{dy}{dx}=2x[/tex]
Applying the variable separation method;
[tex]\rm \dfrac{dy}{dx}=2x\\\\\int\limits \, dy=\int\limits\, 2x. dx\\\\y = 2 \times \dfrac{x^{1+1}}{1+1} +c\\\\y = 2 \times \dfrac{x^{2}}{2} +c\\\\y = x^2+c[/tex]
The value of c when y( 0 ) = 2 is c =2.
Hence, the required differential equation is y(x) = x² + 2.
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What is the simplified form of the following expression? Assume x>0.
3
2X
/
4/bx
2X
4/24 x²
2X
4/244²
1bx4
412x2
Answer:
I think it's the fourth one.
In 2005, 12.2 out of every 50 employees at a company were women. If there are 48,744 total company employees, estimate the number of women.
Answer:
12000
Step-by-step explanation:
Using this information, you can make a ratio: 12.2/50 = x/48744
By simplifying this ratio you get that 50x = 594676. Dividing both sides by 50 you get about 11900, which you can round up to 12000
Answer:
11,894 women
Step-by-step explanation:
ratio of women to employees = 12.2 : 50
Let x = number of women employees to 48744 employees
12.2 : 50 = x : 48744
⇒ 12.2 / 50 = x / 48744
⇒ 0.244 = x / 48744
⇒ x = 0.244 · 48744
⇒ x = 11893.536
⇒ x = 11894 (nearest whole number)
Therefore, there are approximately 11,894 women in a company with a total of 48,744 employees
Find an explicit formula for the geometric sequence 2, 6, 18, 54, ....
Note: the first term should be b(1).
b(n)=
The geometric sequence can be represented explicitly or as recursions
The explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)
How to determine the explicit formula?The sequence is given as:
2, 6, 18, 54, ....
Start by calculating the common ratio (r)
r = b2/b1
This gives
r = 6/2
Evaluate the quotient
r = 3
A geometric sequence is represented as:
b(n) = b1 * r^(n-1)
This gives
b(n) = 2 * 3^(n-1)
Hence, the explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)
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Write the expression as a product.
25-(a + 7)^2
pls help
Answer:
-(12+a)(a+2)
Step-by-step explanation:
this is to ez
The expression as a product is (a+12)(-a-2)
What is an expression?An expression in math is a statement having minimum of two numbers, or variables, or both and an operator connecting them.
Given that, is an expression, 25-(a+7)², we need to write it in product form, 25-(a+7)²
= 25 - (a²+49+14a)
= 25-a²-49-14a
= -a²-14a-24
Factorizing,
= -a²-12a-2a-24
= -a(a+12)-2(a+12)
= (a+12)(-a-2)
Hence, the expression as a product is (a+12)(-a-2)
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BRAINLIEST FOR CORRECT ANSWER: What is the area of this figure?
Answer:
A = 253 sq ft
Step-by-step explanation:
see image. Section off the shape into rectangles. Sometimes you have to add to find the lengths of the sides. Sometimes you have to subtract. Area is length×width. see image.
Find the cosine ratio for ∠K
a. 4/5
b. 5/3
c. 3/5
d. 4/3
Answer:
As Per Given Information
we have been asked to determine the consine ratio of ∠K .
[tex] \bf \: cos \: k = \cfrac{Base}{Hypotenuse} [/tex]
with respect to ∠K .
substitute the given value & let's solve it for k .
[tex] \longrightarrow\sf \: cos \: k \: = \cfrac{30}{50} \\ \\ \\ \longrightarrow\sf \: cos \: k \: = \cfrac{ 3\cancel0}{5 \cancel0} \\ \\ \\ \longrightarrow\sf \: cos \: k \: = \cfrac{3}{5} [/tex]
Therefore,
Cosine ratio for ∠k is 3/5Your answer is (c) 3/5
Which one is it? Im stumped.
Answer:
rational
Step-by-step explanation:
Hope this helps!
If not I am sorry
let's keep in mind that that same/same = 1 always, so then we can say
[tex]\cfrac{spaghetti}{spaghetti}~~ = ~~\cfrac{hippopotamus}{hippopotamus}~~ = ~~\cfrac{meatballs}{meatballs}~~ = ~~\cfrac{dog}{dog}~~ = ~~\cfrac{0.\overline{55}}{0.\overline{55}}~~ = ~~\textit{\huge 1}[/tex]
well, "1" is a whole number
"1" is also an integer oddly enough
"1" can be written as a ration like 1/1, so is also rational.
If you were writing a two-column proof proving that ANQP APON, which of the following statements would have
"reflexive property of congruence" as its reason?
A. ON ON
B. OP=OP
C. OP=OP
D. NP NP
Answer:
NP NP
Step-by-step explanation:
this is the only solution that works for the question
What are the solution(s) for the quadratic equation?
Y=5x^2-9x+4
Show work
Let's see
[tex]\\ \rm\rightarrowtail 5x^2-9x+4=0[/tex]
[tex]\\ \rm\rightarrowtail 5x^2-5x-4x+4=0[/tex]
[tex]\\ \rm\rightarrowtail 5x(x-1)-4(x-1)=0[/tex]
[tex]\\ \rm\rightarrowtail (5x-4)(x-1)=0[/tex]
[tex]\\ \rm\rightarrowtail x=4/5,1[/tex]
When plotting an ordered pair, X comes before Y
Answer:
True
Step-by-step explanation:
I always remember it, over then up
A 2-column table with 4 rows. the first column labeled elevation (meters) has entries 500, 1000, 1500, 2000. the second column labeled temperature of air (degrees celsius) has entries 11.8, 8.5, 5.3, 2.0. as elevation increases, temperature decreases. at which elevation will sound travel fastest? 500 meters 1,000 meters 1,500 meters 2,000 meters
The sound will travel fastest at an elevation of 500m,
Elevation Temperature
500m 11.8°C (MAXIMUM)
1000m 8.5°C
1500m 5.3°C
2000m 2.0°C
Why do sounds travel at a faster rate at high temperatures?Molecules at higher temperatures have more energy and they can vibrate faster and allow sound waves to travel more quickly because the more is the medium, the more quickly sound waves propagate.
So, when the temperature is maximum i.e. 11.8°C, the sound will travel fastest. The elevation corresponding to 11.8°C is 500m.
So, Sound will travel fastest at 500m elevation.
Therefore, At an elevation of 500m, the sound will travel fastest.
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Answer:
500 meters
Step-by-step explanation:
A political candidate feels that she performed particularly well in the most recent debate against her opponent. Her
campaign manager polled a random sample of 400 likely voters before the debate and a random sample of 500
likely voters after the debate. The 95% confidence interval for the true difference (post-debate minus pre-debate) in
proportions of likely voters who would vote for this candidate was (-0.014, 0.064). What was the difference (pre-
debate minus post-debate) in the sample proportions of likely voters who said they will vote for this candidate?
0.064 +-0.014)
= 0.025
0.064-(-0.014)
= 0.039
0 0.064 + (-0.014) = 0.050
0.064 - (-0.014) = 0.078
N
Considering the confidence interval given, the likely difference is given by:
[tex]\frac{0.064 + (-0.014)}{2} = 0.025[/tex]
What is the point estimate of a confidence interval?Given an interval (a,b), the point estimate is the mean of the bounds, that is:
p = (a + b)/2.
In this problem, the interval is (-0.014, 0.064), hence the expression for the likely difference is given by:
[tex]\frac{0.064 + (-0.014)}{2} = 0.025[/tex]
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P(x) = x^2-4x+4 tại x =2
If [tex]P(x) = x^2-4x+4[/tex] and x =2
--> [tex]P(2) = 2^2-4(2)+4=4-8+4=0[/tex]
Hope that helps!
PLEASE HELPPPPPPPPP!!!!! ILL GIVE BRAINLIST
y=3x+2
Given x = 5
y = ?
Answer:
17
Step-by-step explanation:
replace x with 5
3*5+2
next you use pemdas
you multiply before you add
3*5=15
15+2=17
Find the rule to complete the pyramid.
i think this should work good luck
The large rectangle below represents one whole.
What percent is represented by the shaded area?
%
Answer:
40%
Step-by-step explanation:
2/5 is shaded
100 divided by 5 is 20
2x20=40
When you multiply the grouping by the exponent, what is the answer?
5+4 - (8 x 3 – 22)* x 4
Answer:
1
Step-by-step explanation:
5 + 4 - (8 x 3 – 22)* x 4
5 + 4 - (24 - 22) x 4
5 + 4 - 2 x 4
5 + 4 - 8
1
Answer:
16
Step-by-step explanation:
5+4- (8x3-22) ↑4 x4
16
5+4 - (24-22) ↑4 x4
5+4- (2) ↑4 x4
2x2x2x2=16
hope that helps:)
A certain bacterium measures 2. 7 × 10–2 mm. A colony contains 5. 3 × 103 of the bacteria. What is the total length of this colony if it forms a straight line?
The length of the colony is the product of 5. 3 × 10^3 and the length of the bacteria
The total length of the colony is 143.1 mm
How to determine the length of the colony?The given parameters are:
Bacteria = 2.7 × 10^–2 mm.
Colony = 5. 3 × 10^3 of the bacteria
So, the length (L) of the colony is:
[tex]L = 5.3 * 10^3 * 2.7 * 10^{-2[/tex]
Rewrite as:
[tex]L = 5.3 * 2.7* 10^3 * 10^{-2[/tex]
Evaluate the products
[tex]L = 14.31* 10[/tex]
Evaluate the product
[tex]L = 143.1[/tex]
Hence, the total length of the colony is 143.1 mm
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Can someone help me please
Answer:
[tex]6x^2+8x[/tex]
Step-by-step explanation:
Hey there!
In order to find the answer to this question, what you need to do is first find the area of the whole grey box as a whole (including the white box to)
The dimensions for this is 3x+2 and 4x
Now we know that to find area, we need to multiply length by height
So (3x+2)(4x) is what we have to solve to get the area
Now we simplify:
1. Distribute
2. [tex]12x^2+8x[/tex]
So now we know that the total area is [tex]12x^2+8x[/tex]
Now what we do is take out the area of the white box from the area of the grey box
Lets find the area of the white box:
l=3x (l - length)
h=2x (h - height)
[tex]3x*2x=6x^2[/tex]
Now we have the area of both shapes
Since we have all the information we need to find the final answer, the following steps below will be using the information we found to find the final answer:
In order to find the final answer which is the area of the shaded region, we take out the area of the white region from the total area of the grey region (including the white region)
So now we can formulate this new equation:
[tex]12x^2+8x-6x^2= ta[/tex]
(ta= total area)
Now we simplify:
[tex]6x^2+8x\\[/tex] is going to be our final answer
So our final answer is [tex]6x^2+8x[/tex]
Reflect the point (3,0) across the x axis.
Reflect the point (3,0) across the y axis.
Answer:
(3,0) reflection on x axis (3,0)
(3,0) reflection on y axis (-3,0)
¿Cuántos enteros divisibles por 9 hay entre 95 y 450?
Answer:
s so you're going to divide when you going to divide 95 why you take it to the other side it will become 95 * 450 equals to 42750 / 9 when we divide 42750 / 9 to give you 4750 that is your answe
What is the value of y in the solution to the system of equations?
1 x + 2 y = 1
2x – 3y = -30
0-8
0-3
03
O 8
Answer: y = 32/7
Step-by-step explanation:
Solve the first equation for x by subtracting the 2y from the left side and getting: x = 1 - 2y.
Plug this in to the second equation: 2(1 - 2y) - 3y = -30 → 2 - 4y - 3y = -30 →
-7y = -32 → y = 32/7. Hope this helps!
Solve each equation by finding square roots. If the equation has no real-number solution, write no solution. N^2 = 81
Answer:
N = 9
Step-by-step explanation:
N^2 = 81
NxN = 81
N = 9 because 81/9 = 9 and if you don't trust me use a calculator