1 box contains 23 crayons, then 69 crayons can fit in ______ boxes​

The true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

From the given options, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

Let's analyze each statement:

Its leading coefficient is positive:

The leading coefficient of a polynomial is the coefficient of the term with the highest degree.

From the graph, if the polynomial is going upwards on the right side, it indicates that the leading coefficient is positive.

It has an odd degree: The degree of a polynomial is the highest power of the variable in the polynomial expression.

If the graph has an odd number of "turns" or "bumps," it indicates that the polynomial has an odd degree.

None of the zeroes have even multiplicity:

The multiplicity of a zero refers to the number of times it appears as a factor in the polynomial.

In the given graph, if there are no repeated x-intercepts or no points where the graph touches and stays on the x-axis, it implies that none of the zeroes have even multiplicity.

The other statements (its leading coefficient is negative, it has an even degree, it has exactly two real zeroes, it has exactly three real zeroes, and none of the zeroes have odd multiplicity) cannot be determined based solely on the information given.

Therefore, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

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The tax amount on shirt whose Selling Price is $24 at a tax rate of 6% is $1.44.

A tax is a financial charge imposed on a taxpayer by a governmental organization in order to fund government spending and public expenditures.

Given is the selling price of shirt as $24. The tax rate is 6%.

Selling price of shirt [S.P.] = $24

Tax rate [R%] = 6%

Therefore, the tax amount = T[A] will be -

T[A] = $(S.P x R/100)

T[A] = $(24 x 6/100)

T[A] = $(24 X 0.06)

T[A] = $1.44

Therefore, the tax amount on shirt whose Selling Price is $24 at a tax rate of 6% is $1.44.

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All, 25%, and 5 are all valid options that can be selected in the Top Values list for a query.

All will display all the values in the query, 25% will display the top 25% of the values, and 5 will display the top 5 values.

To calculate 25%, we can use the formula (value/total)*100. For example, if the total number of values is 20, then 25% would be (20/20)*100 = 100. This would display all 20 values in the query. Similarly, if the total number of values is 50, then 25% would be (50/50)*100 = 100, which would also display all 50 values.

To calculate 5, we can use the same formula (value/total)*100. For example, if the total number of values is 20, then 5 would be (5/20)*100 = 25. This would display the top 5 values in the query. Similarly, if the total number of values is 50, then 5 would be (5/50)*100 = 10, which would also display the top 5 values.

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Answer:

A' (2, -1)

Explanation:

The object's point A has a coordinate of (-2, 4).

The translation rule states that you:

- Add the x coordinate by 4 (x + 4)

- Subtract the y coordinate by 5 (y - 5)

Substitute the rule to point A's coordinate (x = -2 and y = 4).

(-2 + 4 , 4 - 5) = (2, -1)

Notice that the image's point A has moved four steps to the right and down by five steps from the original object.

Answer:

∠F = 80

Step-by-step explanation:

Let's find inner ∠D first, as you can see, it's a straight line but a line is in between, the outer angle is 120, and a straight line is 180, so 180 - 120 = 60. The inner ∠D is 60, now we can find ∠F, a triangle is 180:

40 + 60 + ∠F = 180

100 +∠D = 180

subtract 100 from both sides

∠F = 80

Answer:

6

Step-by-step explanation:

tell me if I'm wrong:

b-bathroom

s-sweep

《in equation form》

s×3=18

18/3=6

so s=6

《explanation》

^ so you are going to divide 18 by 3 which gives you the answer 6^

Answer:

4 x 2 (2WD) A 4x2 or 2WD is a vehicle that has a two-wheel drive (2WD) with four wheels.

Step-by-step explanation:

If the mean is 8.5 minutes and the variance is 9 minutes then the upper confidence limit is 9.3765  .

In the question ,

it is given that ,

the number of sales person in the random sample (n) = 45 ,

the mean = 8.5 minutes

the variance is = 9 minutes .

So , the standard deviation is = 3.

For the 95% confidence interval the level of significance (α) is 0.05 .

So , α/2 = 0.05/2 = 0.025 .

So , from Z table ;

the value of \(Z_{\frac{\alpha }{2} }\) is = 1.96 .

The formula for the confidence interval is

= [ mean ±  \(Z_{\frac{\alpha }{2} }\)(SD/√n)]

Substituting the values from above ,

we get ,

= [8.5 - 1.96*0.4472 , 8.5 + 1.96*0.4472]

Simplifying further ,

we get ,

= [ 7.6235 , 9.3765 ]

Therefore , the upper limit of the 95% confidence interval is 9.3765  .

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Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

\(f(x) + g(x) = - 2 {x}^{4} + 6 {x}^{3} + 8{x}^{2} - 9x + 7\)

when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

When the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse remains the same as in the original triangle. In a right triangle, the side opposite ∠A is referred to as the "opposite" side, and the hypotenuse is the longest side.

The ratio of the side length of the side opposite ∠A to the length of the hypotenuse is commonly known as the sine of angle A (sin A). So, when the scale factor is 1, the ratio of the side length of the side opposite ∠A to the length of the hypotenuse is equal to sin A.

In mathematical terms, when the scale factor is 1, we have:

(side length of side opposite ∠A) / (length of hypotenuse) = sin A

It's important to note that this ratio holds true for any right triangle, regardless of its size or dimensions, as long as the angle A remains the same.

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The function rule for the function shown as in the task content in the y axis is; g(x) = -f(x).

As given in the task content; the function f(x) is as follows;

f(x) = 6x

Hence, upon reflection of the function f(x) over the y-axis; the resulting function g(x) is given by the rule;

g(x) = -f(x)

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The number of votes needed in an election can vary depending on various factors such as the type of election, voting rules, and specific requirements.

Without additional context or information about the specific election, it is challenging to provide an exact number of votes needed.The number of votes needed in an election is typically determined by factors such as the majority threshold, minimum vote requirement, or any specific criteria outlined in the election rules.

For example, in some elections, a candidate may need a simple majority (more than half) of the votes cast to win, while in others, a candidate may need a specific number or percentage of votes to secure victory.To determine the number of votes needed, it is essential to refer to the specific guidelines or rules established for that particular election.

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The exponential function passes through the points (-1,4/5) and (1,20) will be y = 4 × \(5^{x}\).

In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.

In other meaning, an exponential function is that function above which a variable x has imposed.

Suppose the exponential function as

y = a\(e^{bx}\)

Substitute, (-1,4/5)

4/5 = a\(e^{-b}\)                             (1)

Substitute, (1,20)

20 = a\(e^{b}\)                                (2)

Multiply (1) with (2)

(4/5)20 = a\(e^{-b}\) × a\(e^{b}\)

4 × 4 = a²

a = 4

Substitute, a = 4 into (2)

20 = 4\(e^{b}\)    

\(e^{b}\) = 5

Take log on both sides of the above equation,

ln \(e^{b}\)  =  ln 5

b = ln 5

Substitute a = 4 and b = ln 5 into y = a\(e^{bx}\)

y = 4 e^(x(ln 5)) = 4 e^(ln5^x)

y = 4 × \(5^{x}\)

Hence "The exponential function passes through the points (-1,4/5) and (1,20) will be y = 4 × \(5^{x}\)".

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654 over 3 = divide the both 654 and 3 by 3.

It will give you 218 over 1.

So the answer is 218.

Answer:

x=-2, y=-3

Step-by-step explanation:

we can rearrange the questions to make it easier

y=3x+3

2y=-3x-12

if you add the two equations, you get

3y=0x-9

so y=-9/3 = -3

plug y into one of the equations

-3=3x+3

-6=3x

x=-2

and then check your work by plugging into the other equation:

2*-3=-3(-2)-12

-6=6-12

-6=-6

Answer:

-9.4 degree Celsius

Step-by-step explanation:

By using the formula = 15F - 32 × 5/9

= -9.4 degree Celsius

The value of x for the given inequality is always greater than and equal to -3/4.

In the given question we have to find the value of x.

The given inequality is 5x+8 ≤2-3x.

Now solving the given inequality.

To solve the inequality we firstly subtract 2 on both side, Then we equate the coefficient and variable in one side.

5x+8 ≤2-3x

Subtract 2 on both side, we get

5x+6≤-3x

Now subtract 5x on both side, we get

6≤-8x

Now divide by -8 on bot side, we get;

x≤-6/8

x≤-3/4

We change the inequality because the sign is changed.

Hence, the value of x for the given inequality is always greater than and equal to -3/4.

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Answer:

Except me. The Alpha leaders don't fit in.

Answer:

26cm

Step-by-step explanation:

7+7+6+6=26

Answer:

26 cm

Step-by-step explanation:

7x2 because of 2 sides

12x2 because of 2 sides

14+12=26

The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt),

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

n is the number of times interest is compounded per year,

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

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Answer:

8

Step-by-step explanation:

|-5|+|3|

5+3

8

Answer:

It is congruent to the angle F, as they are similar triangles.

The dollar value of total revenue at each price is $\(0\), $\(10\), $\(12\), $\(12\), $\(10\), and $\(6\). Total revenue will be the greatest at a price of $\(4\), with \(3\) units sold.

To find the dollar value of total revenue at each price, we can multiply the price by the corresponding quantity in the demand schedule:

Price: $\(6\)

Quantity: \(0\)

Total Revenue: $\(6 \times 0\) = $\(0\)

Price: $\(5\)

Quantity: \(2\)

Total Revenue: $\(5 \times 2\) = $\(10\)

Price: $\(4\)

Quantity: \(3\)

Total Revenue: $\(4 \times 3\) = $\(12\)

Price: $\(3\)

Quantity: \(4\)

Total Revenue: $\(3 \times 4\) = $\(12\)

Price: $\(2\)

Quantity: \(5\)

Total Revenue: $\(2 \times 5\) = $\(10\)

Price: $\(1\)

Quantity: \(6\)

Total Revenue: $\(1 \times 6\) = $\(6\)

To determine at which price the total revenue will be the greatest, we observe that the highest total revenue occurs at the price with the highest quantity sold. In this case, the price with the highest quantity is $\(3\), and the corresponding quantity sold is \(4\) units.

Therefore, at a price of $\(3\), the total revenue will be the greatest, with \(4\) units sold.

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Answer:

Step-by-step explanation:

Y-intercept is -2.

Using slope formula, 2-(-2)/2-0 = 4/2 = 2 = slope.

Plugging into slope-intercept form:

y=mx+b => y=2x-2

Answer: Barry's Swimwear sold a greater fraction of the bathing suits in stock as long as the store had fewer than 72 bathing suits in stock.

Step-by-step explanation:

Barry's Swimwear sold 15 out of an unknown number of bathing suits in stock, so we can express this fraction as 15/x, where x is the total number of bathing suits in stock at Barry's Swimwear. Similarly, Philip's Sun Wear sold 5 out of 72 bathing suits in stock, so we can express this fraction as 5/72.

To compare these two fractions, we need to express them with a common denominator. One way to do this is to find the least common multiple of the two denominators, which in this case is 72. To express 15/x with a denominator of 72, we can multiply both the numerator and the denominator by a factor of 72/x. This results in the fraction 15*(72/x)/72 = 15/x. Similarly, we can express 5/72 with a denominator of 72 by multiplying both the numerator and the denominator by a factor of 72/72, which results in the fraction 5*(72/72)/72 = 5/72.

Now that we have both fractions expressed with a common denominator of 72, we can compare them directly. 15/x is greater than 5/72 as long as x is less than 72. This means that Barry's Swimwear sold a greater fraction of the bathing suits in stock as long as the store had fewer than 72 bathing suits in stock.

The area of the Region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

To find the area of the region bounded by y = √x, y = 2-x², and y = -√2x, we need to graph the equations and determine the points of intersection. Then we can integrate to find the area.

Firstly, we'll graph the equations and find the points of intersection:

y = √xy = 2-x²y = -√2xGraph of y = √x, y = 2-x², and y = -√2xWe need to solve for the points of intersection, so we'll set the equations equal to each other and solve for x:√x = 2-x²√x + x² - 2 = 0Let's substitute u = x² + 1:√x + u - 3 = 0√x = 3 - u

(Note: Since we squared both sides, we have to check if the solution is valid.)u = -2x²u + x² + 1 = 0 (substituting back in for u

)Factoring gives us:u = (1, -2)We can then solve for x and y:x = ±1, y = 1y = 2 - 1 = 1, x = 0y = -√2x = -√2, x = 2y = 0, x = 0Graph of y = √x, y = 2-x², and y = -√2x with points of intersection to find the area, we need to integrate.

The area is bounded by the x-values -1 to 2, so we'll integrate with respect to x:$$\int_{-1}^0 (2 - x^2) - \sqrt{x} \ dx + \int_0^1 \sqrt{x} - \sqrt{2x} \ dx$$

We can then simplify and integrate:$$\left[\frac{2x^3}{3} - \frac{2x^{5/2}}{5/2} + \frac{4}{3}x^{3/2}\right]_{-1}^0 + \left[\frac{2x^{3/2}}{3} - \frac{4x^{3/2}}{3}\right]_0^1$$$$= \frac{4}{3} + \frac{4}{3} - \frac{4}{15} + \frac{4}{3} - \frac{4}{3}$$$$= \frac{32}{15}$$

Therefore, the area of the region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.

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Your description of the surface is incomplete. But it looks like you're considering some subset of the paraboloid z = 1 - x ² - y ², so I'll go ahead and assume it's the part of said paraboloid above the x,y-plane, so that the boundary is a circle centered at the origin with radius 1.

By Stokes' theorem, the line integral of F along this boundary (∂S) is equal to the surface integral of curl(F ) over the surface itself (S). We have

F(x, y, z) = z ² i + 2x j + y ² k

which has curl

curl(F ) = (∂(y ²)/∂y - ∂(2x)/∂z) i - (∂(y ²)/∂x - ∂(z ²)/∂z) j + (∂(2x)/∂x - ∂(z ²)/∂y) k

curl(F ) = 2y i + 2z j + 2k

Parameterize S by the vector function,

r(u, v)  = u cos(v) i + u sin(v) j + (1 - u ²) k

with 0 ≤ u ≤ 1 and 0 ≤ v ≤ 2π.

Take the upward-pointing normal vector to S to be

n = ∂r/∂v × ∂r/∂u

n = (-u sin(v) i + u cos(v) j ) × (cos(v) i + sin(v) j - 2u k)

n = 2u ² cos(v) i + 2u ² sin(v) j + u k

Then the integral of curl(F ) over S - and hence the line integral of F over ∂S - is

\(\displaystyle \iint_S \mathrm{curl}(\mathbf F(x,y,z))\cdot\mathbf S \\\\ = \iint_S \mathrm{curl}(\mathbf F(\mathbf r(u,v)))\cdot\mathbf n\,\mathrm du\,\mathrm dv \\\\ = \int_0^{2\pi}\int_0^1 \left(2u\sin(v)\,\mathbf i + 2(1-u^2)\,\mathbf j + 2\,\mathbf k\right)\cdot\left(2u^2\cos(v)\,\mathbf i+2u^2\sin(v)\,\mathbf j+u\,\mathbf k\right)\,\mathrm du\,\mathrm dv \\\\ = \int_0^{2\pi}\int_0^1 \left(4u^3\sin(v)\cos(v)+4(1-u^2)u^2\sin(v)+2u\right)\,\mathrm du\,\mathrm dv \\\\ = \int_0^{2\pi}\left(\sin(v)\cos(v)+\frac8{15}\sin(v)+1\right)\,\mathrm dv \\\\ = \boxed{2\pi}\)

Just to confirm this result, we can compute the line integral directly, since it's not so difficult to deal with. Parameterize ∂S by the vector function

r(t) = cos(t ) i + sin(t ) j

with 0 ≤ t ≤ 2π. (Note that there is a k component, but its coefficient is 0.) Then

dr/dt = -sin(t ) i + cos(t ) j

and the line integral is again

\(\displaystyle \int_{\partial S}\mathbf F(x,y,z)\cdot\mathrm d\mathbf r \\\\ = \int_{\partial S} \mathbf F(\mathbf r(t))\cdot\frac{\mathrm d\mathbf r}{\mathrm dt}\,\mathrm dt \\\\= \int_0^{2\pi} (\cos(t)\,\mathbf i+\sin(t)\,\mathbf j)\cdot(-\sin(t)\,\mathbf i+\cos(t)\,\mathbf j)\,\mathrm dt \\\\ = \int_0^{2\pi}2\cos^2(t)\,\mathrm dt \\\\ = \boxed{2\pi}\)

A statement which best describes one of these transformations is that: A. triangle 1 is rotated to result in triangle 2.

In Mathematics, there are four (4) main types of transformation and these include the following:

In Mathematics, a rotation simply refers to a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Since triangle 2 has identical (similar) side lengths and angle measures, but is rotated and triangles 1 and 4 are identical, we can logically deduce that triangle 1 underwent a rotation to produce triangle 2.

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Answer:

-10

Step-by-step explanation:

if we put f(n)=3 , Then

f(3)=f(3-2) + f(3-1)

= f(1) + f(2)

= -6+(-4). [since f(1)= -6 and f(2) = -4)

= -6-4

= -10