Answer:
7.5 m = 0.0075 km (Correct)
0.31 = 310 mm (Correct)
46 m = 4,600 cm (Correct)
457 mm =4.57 cm (Incorrect)
0.6 km = 6,000 m (Incorrect)
Step-by-step explanation:
Tell me if something is wrong.
Solve number 11 pls
Answer:
b. x = 123
Step-by-step explanation:
When graphing f(x)=a sin(bx) you would determine the functions period using which of the following?
A. The period is 2pi/b
B. The period is a
C. The period is pi/b
Explanation:
The value of 'a' out front in y = a sin(bx) determines the amplitude.
The b term helps us compute the period, which is 2pi/b for sine, cosine, secant, and cosecant functions.
For example, y = 2sin(3x) has an amplitude of 2 and period of 2pi/3
For tangent and cotangent functions, the period would be pi/b.
In a sale is 25% off all prices but cost £33 in the sale how much was it before the sale
The original cost was it before the sale will be £ 26.4.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio.
In a sale is 25% off all prices but cost £33 in the sale.
Then the original cost was it before the sale will be
Let x be the original cost.
Then we have
1.25x = £33
x = £26.4
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area of number sense relates to the quantity of ingredients in recipes?
Measurement is the area of the number sense that has a relationship with the quantity of ingredients used in recipes.
How do you determine the measurements of recipes?The measures of recipes are determined by:
Weighing themCalculating their amount in volume etc.So measure recipes, one can either measure them using artefacts such as cups, spoons, or other kind of containers.
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Determine the marginal distribution of Gender. In paragraph form, how you calculated the marginal distribution. Include your calculations in your explanation.
The marginal distribution for gender tells you the probability that a randomly selected person taken from this sample is either male or female, regardless of their blood type.
In this case, we have total sample size of 714 people. Of these, 379 are male and 335 are female. Then the marginal probability mass function would be
[tex]\mathrm{Pr}[G = g] = \begin{cases} \dfrac{379}{714} \approx 0.5308 & \text{if }g = \text{male} \\\\ \dfrac{335}{714} \approx 0.4692 & \text{if } g = \text{female} \\\\ 0 & \text{otherwise} \end{cases}[/tex]
where G is a random variable taking on one of two values (male or female).
The value of p in the equation 2p - 3 = p + 2 Is
Answer:
p = 5
Step-by-step explanation:
Given equation:
2p - 3 = p+2
To Find:
Value of pSoln:
2p - 3 = p + 2
Subtract p from both sides:
=>2p-3−p = p+2-p
=>p-3 = 2
Add 3 to both sides:
=>p−3+3 = 2+3
=>p = 5
Hence,the value of p would be 5.
We can plug the value we got to the original equation to verify:
=> 2p - 3 = p + 2
p = 5=> 2(5) -3 = 5 + 2
[Make sure to simplify using PEMDAS]=> 10 - 3 = 7
=> 7 = 7 [Proved]
Hence,this equation is true.
[tex]\rule{225pt}{2pt}[/tex]
Acronym PEMDAS rule means:
P:ParenthesesE:ExponentsM:MultiplicationD:DivisionA:AdditionS:SubtractionAnswer:
p = 5
Step-by-step explanation:
First we add 3 to both sides to make :
2p = p + 5
Now we subtract p from both sides :
p = 5
Hope this helped and brainliest please
Please help me thanks!
Part 1
V = pi*r^2*h .... volume of a cylinder
250 = pi*r^2*h
h = 250/(pi*r^2)
Plug this into the surface area of a cylinder equation
SA = 2*pi*r^2 + 2*pi*r*h
SA = 2*pi*r^2 + 2*pi*r*( 250/(pi*r^2) )
SA = 2*pi*r^2 + 500/r
Now replace every copy of r with x to get this function
f(x) = 2*pi*x^2 + 500/x
x = radius
y = f(x) = surface area
Next we'll use Desmos to graph this function. See the screenshot below. It produces some kind of curve that has two pieces to it. We'll only focus on the curve where x > 0 and y > 0. It makes no sense to have a negative radius, and we cannot have a negative surface area either.
Click on the lowest point of the parabolic looking shaped piece (it's not really a parabola, but we'll imagine that it is for the sake of simplicity).
The coordinates of that local min point will show up and they are (3.414, 219.689)
We have (x,y) = (3.414, 219.689) lead to r = 3.414 and SA = 219.689
This means that a radius of approximately r = 3.414 cm leads to the smallest surface area of approximately 219.689 square cm. This is when the amount of material is minimized.
Use this value of r to find h
h = 250/(pi*r^2)
h = 250/(pi*3.414^2)
h = 6.828
Desmos not only graphs, but it is also a standard calculator. The calculation is also shown in the screenshot.
Answer: This can has a radius of roughly 3.414 cm and height 6.828 cm.=============================================================
Part 2
Find the three side lengths of each triangle. So you should have 6 sides total. Then divide the corresponding sides to see if you get the same ratio. If so, then the triangles are similar by the side side side (SSS) similarity theorem. Another method is to find the angle between two sides and use the SAS (side angle side) similarity theorem. This is when the two pairs of sides form the same ratio, and the angles mentioned are congruent to each other. The angles must be between the sides used.A proportion can be used to solve equations based on similar polygons. For example, we could have the proportion x/2 = 30/10 which solves to x = 6.The first step is to multiply the two numbers. Then apply the square root to them. Example: The geometric mean of 4 and 9 is 6 because [tex]\sqrt{4*9} = \sqrt{36} = 6[/tex]From your observation : x⁰=
Answer:
=1
Step-by-step explanation:
Calculate.
a) 130% of 220
what is the slope of y=-9x-8?
The slope of the linear equation, y = -9x - 8 is determined as: -9.
How to Identify the Slope in an Equation?If the equation of a line is given in a slope-intercept form, y = mx + b, the slope value is represented as m.
Thus, given the equation y = -9x - 8, the slope in the linear equation is -9.
Therefore, slope of y = -9x - 8 is: -9.
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Answer the follwing grade 5 questions of HFC and LCM
Answer:
give clear image is next question
Step-by-step explanation:
i will give you the answer
there is 1 litre of tea in a teapot, alex pours 275ml of the tea into a cup what percentage of the tea has alex poured
Answer:
27.5%
Step-by-step explanation:
Given:
1 Liter In TeapotAlex poured 275 milliliters of the tea into a cupReview:
1,000 Milliliters = 1 LiterConcepts:
A liter is a noun meaning a unit of capacity redefined in 1964 by a reduction of 28 parts in a million to be exactly equal to one cubic decimeter. It is equivalent to 1.0567 U.S. liquid quarts and is equal to the volume of 1 kilogram of distilled water at 4°C.A millimeter is a noun meaning a unit of capacity equal to one thousandth of a liter, and equivalent to 0.033815 fluid ounce, or 0.061025 cubic inch.Formula:
The mℓ to ℓ formula is [L] = [mL] / 1000.Now we must convert 275 milliliters to liters.
1. Divide the volume by 1,000.
275 ÷ 1000 = 0.275
2. Add the Unit Symbol for Liter.
0.275 ⇒ 0.275 L
Now we have to find how much of 1 liter- 0.275 liters as a percentage is.
To convert 0.275 to percent multiply 0.275 by 100. The result is 27.5 percent, or, using the percent sign, 27.5 %.
A group of students from your school is part of the audience for a TV game show. The total number of people in the audience is . What is the theoretical probability of students from your school being selected as contestants out of possible contestant spots?
A group of students from your school is part of the audience for a TV game show, the theoretical probability of students is mathematically given as
P=2.7%
What is the theoretical probability of students from your school being selected as contestants out of possible contestant spots?Generally, the equation for Probability is mathematically given as
[tex]P=\frac{Desired outcomes}{Total outcomes}[/tex]
Where Desired outcomes
D=40C5 *110C3
D=1420112865560
And Total outcomes
T=150C8 *
T=5.2572*10^10{12}
Hence, Probability
[tex]P=1420112865560/ 5.2572*10^10{12}[/tex]
P=0.0270
P=2.7%
In conclusion, the theoretical probability
P=2.7%
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Nick wants to write a 1,260 page science-fiction novel.
How many pages will Nick need to write each month to finish his novel in 1 year?
1 year = 12 months
Pages to write in 12 months = 1260
Pages to write in 1 month = 1260/12
= 105 pages per month
wright the follwing in decimlal form:7/17
Answer:
0.41
Step-by-step explanation:
to make a fraction into a decimal you just divide the numerator by the
denominator.
and the numerator is the part of a fraction that is above the line
denominator is at the bottom
so 7 / 17 = 0.41 that means
7/17 in decimal form is 0.41
Hope This Helped
Answer:
7/17 is equal to 41176470588...
Step-by-step explanation:
This is called a never ending decimal. Hope this helps! :)
If the population of
an alien race doubles
every two minutes,
how long will it take
for the population to
grow from 1,000 to 32,000 ?
It will take 32 minutes for the population to grow from 1,000 to 32,000.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
If the population of an alien race doubles every two minutes,
1,000 x 32 = 32,000
Hence, It would take 32 minutes.
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Hunter picked three quarts of blueberries. some of the blueberries are ripe and some are not ripe. If he takes one blueberry from the basket without looking, what are the outcomes
Answer:
Berries with any blush of red are not ripe, yet may ripen further once picked if kept at room temperature. That said though, you really want to ...
Please Help I Don't Understand!
Answer:
D) None of the choices are correct.
Explanation:
Given triangles AHL and NKG
Sides which are congruent:
AH and NKHL and KGAL and NGSo, AHL ≅ NKG. There are no such options.
What segment is the altitude to side AC?
Segment CR
Segment BT
Segment BL
According to a survey, 48% of adults in the united states believe that unidentified flying objects (ufos) are observing our planet. you ask 8 randomly chosen adults whether they believe ufos are watching earth.
The expected number of adults that believe ufos are watching earth is 4
How to determine the number of adults?The given parameters are:
p = 48%
Sample size, n = 8
The expected number of adults that believe ufos are watching earth is calculated as:
E(x) = np
This gives
E(x) = 8 * 48%
Evaluate
E(x) = 3.84
Approximate
E(x) = 4
Hence, the expected number of adults that believe ufos are watching earth is 4
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Evaluate the functions for the given input values.
f(x) = x² + 1
g(x) = 2f(x)
g(-3) =
g(2) =
g(7) =
Answer:
g(-3) = 20
g(2) = 10
g(7) = 100
Step-by-step explanation:
g(x) = 2f(x) tells us that g(x) is two times f(x). Instead of f(x) we can write (x² + 1).
g(x) = 2f(x)
g(x) = 2(x² + 1)
Multiply.
g(x) = 2x² + 2
Now that we have g(x) we just substitute values in the function.
g(-3) = 2(-3)² + 2
= 2(9) + 2
= 18 + 2
= 20
g(2) = 2(2)² + 2
= 2(4) + 2
= 8 + 2
= 10
g(7) = 2(7)² + 2
= 2(49) + 2
= 98 + 2
= 100
helppppppppppppppppppppppppp
Answer:
reason 1.) This is the original expression
reason 2.) you subtract 4 from both sides
reason 3.) you divide both sides by 2 to get x=5
Stock for the jones corporation starts with a value of $39.63 and gains $0.30 in value per month. stock for the overton company starts with a value of $24.45 and gains $0.80 in value per month. when are the two stocks nearly equal in value?
Using linear functions, it is found that the two stocks will be nearly equal in 30 months.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.Each of the stocks can be modeled by these following functions:
S1(t) = 39.63 + 0.3t.S2(t) = 24.45 + 0.8t.They will be equal when:
S1(t) = S2(t).
Hence:
39.63 + 0.3t = 24.45 + 0.8t
0.5t = 15.18
t = 15.18/0.5
t = 30.36.
Rounding, approximately 30 months.
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NoT YellInG ThIS IS JuSt TO AtTRaCT AtTeNTiOn 50 POiNtS PLeaSE ANswER I Am NoT WasTiNg PoInTS!!! Find the range of 1 1/4, 5/8, 3/4, 1/2, 1 1/2, and 1 3/4
Answer:
Range = 1 1/4
Step-by-step explanation:
Range = Maximum - Minimum
Arranging the data in ascending order :
1/2, 5/8, 3/4, 1 1/4, 1 1/2, 1 3/4Solving for range :
Range = 1 3/4 - 1/2Range = 1 3/4 - 2/4Range = 7/4 - 2/4Range = 5/4Range = 1 1/4Please answer this question
[tex]\text{L.H.S}\\\\=\cot^2 \dfrac{\pi}6 -2\cos^2 \dfrac{\pi}{3}-\dfrac 34 \sec^2 \dfrac{\pi}4-4\sec^2 \dfrac{\pi}6\\\\\\=\cot^2 30^\circ -2 \cos^2 60^\circ- \dfrac 34 \sec^2 45^{\circ} -4 \sec^2 30^{\circ}~~~~~~~;[\pi= 180^{\circ}]\\\\\\=\left(\sqrt 3 \right)^2 -2 \left( \dfrac 12 \right)^2 -\dfrac 34 \left(\sqrt 2 \right)^2 -4 \left(\dfrac 2{\sqrt 3} \right)^2\\\\\\=3-2 \cdot \dfrac 14 - \dfrac 34 \cdot 2 -4 \cdot \dfrac 43\\ \\\\=3-\dfrac 12-\dfrac 32 - \dfrac{16}3\\\\\\[/tex]
[tex]\\=\dfrac{9-16} 3 - \dfrac 42 \\\\\\=\dfrac{-7}{3}-2\\\\\\=\dfrac{-7-6}3\\\\\\=-\dfrac{13}3\\\\\\=-4\dfrac 13 \\\\\\=\text{R.H.S}\\\\\\\text{Proved.}[/tex]
Please please help me 30 points if you can I need the answer I know how to do it I just suck with the fractions
Answer:
1
Step-by-step explanation:
[tex]\text{Given that,}~ (x_1,y_1) = (-2,4)~ \text{and}~ \text{slope,}~ m = -\dfrac 32\\ \\\text{Equation of line,}~\\\\~~~~~~~y -y_1 = m(x-x_1)\\\\\implies y -4 =-\dfrac 32(x+2)\\\\\implies y-4 =-\dfrac 32x - 3\\\\\implies y = -\dfrac 32x -3 +4\\\\\implies y = -\dfrac 32x +1[/tex]
The current equation of the perpendicular line;
⇒ is the slope-intercept form: [tex]y= mx + b[/tex]
m: is the coefficient in front of the x, which is also the slope's valueb: y-intercept of the functionNow for the point-slope form, we need a point on the line and the slope of the line:
⇒ we have
slope = -3/2point: (-2,4)Since this is the point-slope form: [tex](y-y_1)=m(x-x_1)[/tex]
⇒ where the (x₁,y₁) is the point on the line and m is the slope
[tex]= > Equation: (y-4)=-\frac{3}{2}(x+2)[/tex]
To convert the equation to slope-intercept form:
⇒ must isolate 'y' to one side and everything to the other side
[tex]y= -\frac{3}{2}(x+2)+4\\ y=-\frac{3}{2} x-3+4\\y=-\frac{3}{2}x+1[/tex]
Answer: [tex]y = -\frac{3}{2}x+1[/tex]
Hope that helps!
A dog eats 3 cans of dog food in 12 days. Write an equation to represent th
proportional relationship. Then find k, the constant of proportionality.
Let c =
Let d =
Equation:
= k•
k=-
The equation to represent the proportional relationship is c = 0.25d
How to determine the equation?Let c = the number of cans
Let d = the number of days
So, we have:
c = kd
Where k represents the constant of proportionality.
From the given parameters, we have:
3 = 12k
Divide both sides by 12
k = 0.25
Substitute k = 0.25 in c = kd
c = 0.25d
Hence, the equation to represent the proportional relationship is c = 0.25d
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Find the equation of the lien shown.
Answer:
y = [tex]\frac{1}{2}[/tex] x
Step-by-step explanation:
the equation of a line passing through the origin is
y = mx ( m is the slope )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 3) ← 2 points on the line
m = [tex]\frac{3-0}{6-0}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
y = [tex]\frac{1}{2}[/tex] x ← equation of line
Maria says the mean of the scores 7, 8, 3, 0, 2 is 5, because she added the scores and divided by 4. Is she correct? Explain why or why not.
Answer:
She is wrong.
Step-by-step explanation:
The mean score is
7 + 8 + 3 + 0 + 2= 20
We then divide it by the number which is 5
20/5= 4.
Therefore, Maria is wrong.
This is because she divided by 4 instead of 5, as she didn't include the rational number 0.
what is the center of the circle given by the equation (x-2)2+(y+4)2=6
Answer:
(2,-4)
Step-by-step explanation:
Here, h=2 and k=-4, so the center is (2,-4)