an archery target consists of five concentric circles as shown below. the value of the arrow landing in each region starting from the inner circle is 9, 7, 5, 3, 1 points. in how many ways could five scoring arrows earn 29 points if order does not matter?

The statement that best describes irrational number is any real number that cannot be expressed as a ratio a/b

Any number that cannot be stated as a fraction for any integers is considered to be irrational. The decimal expansions of irrational numbers are neither periodic nor do they come to an end. Every number that is transcendental is illogical.

All real numbers that are not rational numbers are referred to be irrational numbers in mathematics. In other words, it is impossible to describe an irrational number as the ratio of two integers.

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Answer:

A, B and D

Step-by-step explanation:

492.350 rounds to 500,000 because the ten thousand place = 9, so the 4 rounds up to 5 and the rest of the digits change to zeroes.

Others which round to 500,000 also are A and B,

Answer:

the right answer is A

Step-by-step explanation:

the even number can be always divided by 1,2 and themselves

Answer:

\(\boxed {\tt 4.2 \ miles}\)

Step-by-step explanation:

Let's set up a proportion using the following setup:

\(\frac{miles}{minutes}= \frac{miles}{minutes}\)

We know Abdul can run 6 miles in 50 minutes.

\(\frac{6 \ miles}{50 \ minutes}= \frac{miles}{minutes}\)

We don't know how many miles he can run in 35 minutes. Therefore, she can run x miles in 35 minutes.

\(\frac{6 \ miles}{50 \ minutes}= \frac{x \ miles}{35 \ minutes}\)

\(\frac{6 }{50 }= \frac{x }{35 }\)

We want to solve for x ( miles ran in 35 minutes). We must isolate x on one side of the proportion. x is being divided by 35 and the inverse of division is multiplication. Multiply both sides of the proportion by 35.

\(35*\frac{6 }{50 }= \frac{x }{35 }*35\)

\(35*\frac{6 }{50 }= x\)

\(35*0.12=x\)

\(4.2=x\)

x=4.2 miles

He can run 4.2 miles in 35 minutes.

The length of the arc is approximately 6.0 inches (rounded to the nearest tenth).

Given the length of the arc as 6 inches and the angle of the arc as 210°, we have to find the length of the arc. We know that the formula for calculating the length of the arc is:

L = rθ

Where L is the length of the arc, r is the radius, and θ is the angle subtended by the arc measured in radians.

However, we have the angle given in degrees, so we need to convert it to radians by using the formula:

θ (in radians) = (π/180) × θ

We are given π = 3.14 and θ = 210°.

θ (in radians) = (π/180) × θ= (3.14/180) × 210= 3.665 radians

Now, we can use the formula for the length of the arc:

L = rθ

The radius of the arc is not given in the problem, so we cannot solve it. Hence, we cannot find the exact value of the length of the arc. However, we are given the length of the arc as 6 inches, so we can use this value to find the radius. Rearranging the formula, we get:

r = L/θ= 6/3.665= 1.637 inches

Now we can substitute the value of r in the formula for the length of the arc:

L = rθ= 1.637 × 3.665≈ 5.999 ≈ 6.0 inches (rounded to the nearest tenth)

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The dimensions of the box that minimize the cost are: Length = Width = 2^(1/3) ft and Height = 1/(2^(2/3)) ft, We can also compute the minimum cost as: Cost = 4 × 2^(2/3) + 8 × 2^(1/3) ≈ $10.42

To find the dimensions of the box that will minimize the cost, we need to use optimization techniques. Let's start by defining the variables:

Let L be the length of the base of the box.
Let W be the width of the base of the box.
Let H be the height of the box.

The volume of the box is given as 4 ft3, so we have:

L × W × H = 4

We want to minimize the cost of the box, which is given by:

Cost = (2LH + 2WH) × 2 + LW × 4

where the first term represents the cost of the sides (which have a height of H and a length of L or W) and the second term represents the cost of the bottom (which has an area of LW).

Now, we can use the volume equation to solve for one of the variables in terms of the other two. For example, we can solve for H:

H = 4/(LW)

Substituting this into the cost equation, we get:

Cost = 4L + 4W + 16/(LW)

To find the dimensions that minimize the cost, we need to find the critical points of this function. Taking the partial derivatives with respect to L and W, we get:

dCost/dL = 4 - 16/(L^2W)
dCost/dW = 4 - 16/(LW^2)

Setting these equal to zero and solving for L and W, we get:

L = W = 2^(1/3)

(Note that we need to check that this is a minimum by verifying that the second partial derivatives are positive.)

Substituting these values into the volume equation, we get:

H = 1/(2^(2/3))

Therefore, the dimensions of the box that minimize the cost are:

Length = Width = 2^(1/3) ft
Height = 1/(2^(2/3)) ft

We can also compute the minimum cost as:
Cost = 4 × 2^(2/3) + 8 × 2^(1/3) ≈ $10.42

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This is not a polygon as it has a section (at the bottom) which is composed of non-straight segments.

The equivalent of the rate is $2750 per month

From the question, we have the following parameters that can be used in our computation:

The equivalent rate of $33,000/1year

There are 12 months in a year

So, we have the following representation

Rate =  $33,000/12 months

Evaluate the quotient

Rate =  $2750 per month

Hence, the equivalent rate is $2750 per month

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Answer:

Im doing this for the points lol

Sorry

Answer:

factorise it

Step-by-step explanation:

in the method  ax2 + bx + c

so it can be done just in y

find a common factor

well there isn't one but we can see that we need to factorise it

+1 y2  times  6= 6

because there is only 1 y and you times it by 6

you'll see why when we factorise this

so x the squared number (1) x 6 =6

and the middle number is 5

find two numbers that

x multiply to make six

and add+  to make -5

those numbers are

-3

-2

because -2 + -3 = -5        and -2 x -3 = positive 6

so our answer of y2 + 5y + 6

 is identical to = y2 -3y -2y +6

factorise in half

y2 -3y                   -2y +6

so now we can factorise!

in this bracket we have

a common factor of y                                  in this bracket we have common                                                

                                                                        factor of 2

= y (y -3)                             +                         =    -2(y-3)

BUT THERE IS STILL ONE MORE

THEN WE CAN SEE A COMMON FACTOR OF Y-3

put the  (y-3)  in front and the  (-y-2) is left

put y from first bracket and -2 from second bracket into a seperate bracket

yay! factorised

BUT THERE IS STILL ONE MORE

ANSWER =  (Y-2) (Y-3)

you can use the rainbow multiplying out of bracket method to prove it works.

PLZ GIVE BRAINLIEST

how it would be written out:

y2 + 5y + 6

y2 -3y -2y +6

y2 -3y       -2y +6

y (y -3)       -2(y-3)

(Y-2) (Y-3)

Answer:

Girls to Total:  24/32 or 3/4

Step-by-step explanation:

Girls: 24

All Students: 8+24 = 32

Girls to Total:  24/32 or 3/4

The type of loan that Brady most likely getting  is option (a) conventional loan

Conventional loans are typically not guaranteed or insured by the government and often require a higher down payment compared to government-backed loans such as FHA or VA loans. The down payment requirement of $5,250, which is 3.5% of the purchase price, is lower than the typical down payment requirement for a conventional loan, which is usually around 5% to 20% of the purchase price.

ARM (Adjustable Rate Mortgage) loans have interest rates that can change over time, which can make them riskier for borrowers. FHA (Federal Housing Administration) loans are government-backed loans that typically require a lower down payment than conventional loans, but they also require mortgage insurance premiums.

VA (Veterans Affairs) loans are available only to veterans and offer favorable terms such as no down payment requirement, but not everyone is eligible for them. Fixed-rate loans have a fixed interest rate for the life of the loan, but the down payment amount does not indicate the loan type.

Therefore, the correct option is (a) Conventional loan

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y(t) = 3u(t) is a constant function that is equal to 3 for t >= 0 and equal to 0 for t < 0.

The function x(t) = 3tu(t) is a product of a scalar 3 and a unit step function u(t). Here, u(t) is defined as:

u(t) = 0 for t < 0

u(t) = 1 for t >= 0

So, x(t) is equal to 3t for t >= 0 and equal to 0 for t < 0.

The function y(t) is the derivative of x(t) with respect to t. To find the derivative of x(t), we use the power rule for differentiation, which states that the derivative of tx(t) is x(t) + t × dx(t)/dt.

So, we have:

y(t) = dx(t)/dt = d(3tu(t))/dt = 3u(t) + 3tu'(t) = 3u(t)

Here, u'(t) is the derivative of u(t) with respect to t, which is equal to the Dirac delta function δ(t).

So, we have:

y(t) = 3u(t) = 3 for t >= 0

y(t) = 0 for t < 0

Hence, y(t) = 3u(t) is a constant function that is equal to 3 for t >= 0 and equal to 0 for t < 0.

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The income plainness of demand for eatery reflections is Income plainness = 200/ 20 = 10

Chance is a way of expressing a volume as a bit of 100. It's frequently denoted using the percent symbol(), which represents" per hundred". For illustration, 25 is original to25/100 or0.25 as a numeric.

By question-

The income plainness of demand measures the responsiveness of the volume demanded of a good or service to a change in income, all other effects being equal .However, it means that the good is a normal good, and the volume demanded increases as income increases, If the income plainness is positive. However, it means that the good is an inferior good, and the volume demanded diminishments as income increases, If the income plainness is negative.

In this case, John's pay increased by 20 percent, and the average number of eatery reflections he consumed increased from one a week to three a week. We can calculate the income plainness of demand for eatery reflections as follows

Income plainness = chance change in volume demanded/ chance change in income

The chance change in volume demanded is

( 3 reflections per week- 1 mess per week)/ 1 mess per week) x 100 = 200

The chance change in income is 20

thus, the income plainness of demand for eatery reflections is

Income plainness = 200/ 20 = 10

Since the income plainness is positive and lesser than 1, we can conclude that eatery reflections are a luxury good for John. Option( b) is the correct answer.

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The surface area of the triangular prism is 1664 mm²

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a triangular prism is expressed as;

SA = 2B + ph

where B is the base area and p is the perimeter of the base and h is the height of the prism.

Base area = 1/2bh

= 1/2 × 24 × 16

= 12 × 16

= 192 mm²

The perimeter of the base = 20+24 +20

= 40+24 = 64 mm²

height = 20mm

SA = 2 × 192 + 20 × 64

= 384 + 1280

= 1664 mm²

Therefore the surface area of the prism is 1664 mm²

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The probability that the jury makes the correct decision is approximately 0.7063.

To solve this problem, we need to find the probability that the jury makes the correct decision if the defendant is guilty. Let's break down the problem into smaller steps.

We know that the probability of a single juror making the correct decision is 0.80. If the defendant is guilty, then the probability of a juror making the correct decision is still 0.80. Therefore, the probability that a single juror makes the correct decision if the defendant is guilty is 0.80.

We can use the binomial distribution formula to determine the probability of at least 10 out of 12 jurors making the correct decision. The formula is:

P(X ≥ k) = 1 - Σ(i=0 to k-1) [n!/(i!(n-i)!) x \(p^i \times (1-p)^{(n-i)}\) ]

where:

P(X ≥ k) is the probability of at least k successes

n is the total number of trials (in this case, 12 jurors)

p is the probability of success in a single trial (in this case, 0.80)

k is the number of successes we want to find the probability of (in this case, 10)

Plugging in the values, we get:

P(X ≥ 10) = 1 - Σ(i=0 to 9) [12!/(i!(12-i)!) x \(0.80^i \times (1-0.80)^{(12-i)}\)]

Using a calculator or software, we can calculate this to be approximately 0.7063.

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James should choose Option 1, investing $8,000 at 7.2% quarterly for 30 years as it yields a greater future value.

The future value is the present value of an investment compounded periodically at an interest rate.

The future value can be determined using an online finance calculator.

N (# of periods) = 120 quarters (30 x 4)

I/Y (Interest per year) = 7.2%

PV (Present Value) = $8,000

PMT (Periodic Payment) = $0

Results:

FV = $68,049.25

Total Interest = $60,049.25

N (# of periods) = 360 months (30 x 12)

I/Y (Interest per year) = 7%

PV (Present Value) = $8,000

PMT (Periodic Payment) = $0

Results:

FV = $64,931.98

Total Interest = $56,931.98

Thus, comparatively, the investment at 7.2% compounded quarterly yields the best option for James.

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Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

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The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a conversion factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn.

(a) The given units can be converted as follows: 6 glints = 1 filn...

(1)12 grees = 1 zool...

(2)2 grees = 10 twibbs...

(3)5 grees = 1 bic...

(4)Note that the grees are in both the numerator and denominator of the second unit conversion factor (3). Hence we can cancel out the grees by using it twice in the numerator and denominator. Now using the given conversion factors in equation (1), we get:

7 glint/twibb=7 glint/ (10 grees/2 grees)=14 glint/10 grees=14 glint/ (5 grees/12 grees)=16.8 filn/strord

(b) We need to convert the result of part (a) from filn/strord to megafiln/strord.

1 mega = 106

Thus 1 megafiln = 106 filn

16.8 filn/strord = (16.8 filn/strord) x (1 megafiln/106 filn) = 1.68 x 10-5 megafiln/strord

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn. Similarly, going 1 foot-per-hour would mean going a smaller number of feet-per-hour than going 1 mile-per-hour since there are 5280 feet in a mile.

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When you rewrite subtraction using the additive inverse, you add the opposite. That is, -5 becomes +(-5).

The appropriate choice is ...

... 4 + (−5) A horizontal number line is shown with labels from negative 8 to positive 8. A blue arrow begins at 0 and goes to 4. A red arrow begins at 4 and goes to negative 1.

Answer: D

Step-by-step explanation:

If you look at the quadratic formula, we see that b=5, a=5, and c=3.

So ax^2 + bx + c = 0 -> 5x^2 + 5x + 3 = 0

The volume of the ellipsoid is (160/3)π. To find the volume of the ellipsoid with the equation 0.04x² + 0.0625y² + 0.25z² = 1, we can use the formula for the volume of an ellipsoid.

where a, b, and c are the semi-axes of the ellipsoid.

To find the values of a, b, and c, we need to rewrite the equation in the standard form:

(x²/a²) + (y²/b²) + (z²/c²) = 1

Comparing this with the given equation, we can see that:
a² = 1/0.04
b² = 1/0.0625
c² = 1/0.25

Simplifying these expressions, we get:

a = √25
b = √16
c = √4
a = 5
b = 4
c = 2

Now, we can substitute these values into the volume formula:

V = (4/3)π(5)(4)(2)
V = (4/3)π(40)
V = (160/3)π

Therefore, the volume of the ellipsoid is (160/3)π.

To find the volume of the ellipsoid with the equation 0.04x² + 0.0625y² + 0.25z² = 1, we need to rewrite the equation in standard form and find the semi-axes. By comparing the given equation with the standard form, we can determine that a = 5, b = 4, and c = 2. Next, we substitute these values into the volume formula V = (4/3)πabc. Simplifying, we get V = (160/3)π. Therefore, the volume of the ellipsoid is (160/3)π.

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Answer:

13

Step-by-step explanation:

We can multiply both the whole equation by \(c^2-7c-18\). This is the LCM of all of the denominators. Notice that when \(c^2-7c-18\) is factored, we obtain \((c - 9)(c+2)\).

\(\frac{5}{c-9}\times(c^2-7c-18)=\frac{5}{c-9}\times(c-9)(c+2)=5(c+2)=5(c)+5(2)=5c+10\)

An easier approach is to multiply each individual fraction like so:

\(\frac{5c-2}{c^2-7c-18}\times(c^2-7c-18)=5c-2\)

\(\frac{3}{c+2}\times(c^2-7c-18)=\frac{3}{c+2}\times(c-9)(c+2)=3(c-9)=3c-27\)

Then, we add them:

\(5c-2+(3c-27)=5c-2+3c-27=8c-29\)

Therefore the whole equation is now:

\(5c+10=8c-29\)

Subtract 5c from both sides:

\(10=3c-29\)

Add 29 to both sides:

\(39=3c\)

Divide both sides by 3

\(c=13\)

\(\frac{5}{13-9}=\frac{5(13)-2}{169-91-14}+\frac{3}{13+2}\\\\\frac{5}{4}=\frac{63}{60}+\frac{3}{15}\\\\\frac{5}{4}=\frac{21}{20}+\frac{1}{5}\\\\\frac{5}{4}=\frac{21}{20}+\frac{1}{5}\\\\\frac{5}{4}=\frac{21}{20}+\frac{4}{20}\\\\\frac{5}{4}=\frac{25}{20}\\\\\frac{5}{4}=\frac{5}{4}\Rightarrow Correct!\)

Therefore,

c = 13

None of them is right.

The concept of proportionality in mathematics denotes the linear relationship between two numbers or variables. The size of one item increases by twofold, whereas the size of the other quantity decreases by one-tenth of the earlier amount.

Given a table that has work and time spent on that theoretical work has to be proportional to the time such as the Spend time ∝ number of pages read but none of the options match the criteria. Therefore no option is correct for this problem.

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The statement "The height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is 1/(a-b)" is False.

In a uniform distribution, the probability density function (PDF) is constant within the interval [a, b]. The height of the PDF represents the density of the probability distribution at any given point within the interval. Since the PDF is constant, the height remains the same throughout the interval.

To determine the height of the PDF, we need to consider the interval length. In a uniform distribution defined on the interval [a, b], the height of the PDF is 1/(b - a) for the PDF to integrate to 1 over the entire interval. This means that the total area under the PDF curve is equal to 1, representing the total probability within the interval [a, b].

Therefore, the correct statement is that the height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is not 1/(a - b), but rather it is a constant value necessary for the PDF to integrate to 1 over the interval, i.e., 1/(b - a).

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Answer:

x=-4     y=-7

Step-by-step explanation:

-4x+y=9     get y alone

add 4x both sides

y=4x+9

insert into y=2x+1

2x+1=4x+9

subtract 1 both sides

2x=4x+8

subtract 4x both sides

-2x=8

divide by -2

x=-4

y=2x+1

y=2(-4)+1

y=-8+1

y=-7

check

-4(-4)+(-7)=9

-16+(-7)=9

9=9

x=-4

y=-7

gl

Answer:

20 inches by 16 inches i think

Answer:

20 in by 16 in

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

We will first look at the end behavior of the graph

Is it down then up which means that the degree is 3 and the coeficcent is positive

this leaves B or C

We then know that the x intercepts are (-2,0) (1,0) (3,0)

The easiest way to proceed from here is just plugging in numbers into our euqation and if the end result is 0 then we got it!

looking at the B we have

-2³-2*-2²-5(-2)+6

this equals 0 which means this is our answer (this elimates C because the only difference between the two equations is the sign on the 5x)

You can also factor it and find the zeroes that way, but it's just more work

The function P is given by:

Substitute t=0 into the formula:

Therefore, the number of insects at t=0 is 200

Answer:

Her average speed from Ashdown to Carton is approximately 48.4 mph

Step-by-step explanation:

The time and speed of the motion of Priti are as follows;

The time it takes Priti to drive from Ashdown to Bridgeton, t₁ = 4 hours

The average speed she drove from Ashdown to Bridgeton = 50 mph

The distance she drove from Bridgeton to Carton, d₂ = 30 miles

Her average speed from Bridgeton to Carton = 40 mph

The distance from Ashdown to Bridgeton, d₁ = 50 mph × 4 hours = 200 miles

The time it takes Priti to drive from Bridgeton to Carton, t₂ = 30 miles/(40 mph) = 0.75 hour

Average velocity, \(v_{ave}\) = (Total distance traveled, Δd)/(Total time, Δt)

Δd = d₁ + d₂, Δt = t₁ + t₂

Δd = 200 miles + 30 miles = 230 miles

Δt = 4 hours + 0.75 hour = 4.75 hours

∴ The average velocity, \(v_{ave}\) = (230 miles)/(4.75 hours)

∴ \(v_{ave}\) = (920/19) mph

Her average speed from Ashdown to Carton, rouded to 1 d,p, \(v_{ave}\) ≈ 48.4 mph

The area under the curve between z = −2.0 and z = −1.0 is 0.1359.

We can use tables to find the area under the normal curve between two values of z.

However, tables give areas from z = 0 to z = 3.9 (beyond which there is literally no change). But as the normal curve is symmetric at z = 0, we can use it to find between any two given z values.

For example, for the area under the curve between z = −2.0 and z = −1.0, we can take values for z = 2.0 and z = 1.0; their difference will give the area between z = −2.0 and z = −1.0.

From tables for z = 1.0, we have 0.8413 and for z = 2.0, we have 0.9772 and

Hence, the Area under the curve between z = −2.0 and z = −1.0 is 0.9772−0.8413 = 0.1359.

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