Hadas wants to arrange her cards so that they are exactly the same number of cards on each page. if she can arrange the cards both by 6 and by 15, what is the least amount of cards she can have?

Answer:

huh thats 5

Step-by-step explanation:

I would be clad to but I don't have time to sorry

not sorry  also

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and why would I want to do that its not that hard lol XD

Answer:

The last graph

Step-by-step explanation:

Answer:

1/2 , 5/6 , 5/8 ,5/12

The correct conclusion is:

"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."

Given,

At a huge institution, a doctor is determining the typical height of the male students.

Inches are used to measure the heights of a sample of 40 male baseball team players.

The doctor computes the 95% confidence interval using this information (63.5, 74.4).

The following conclusions is valid:

"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."

We can guarantee that the target variable will be within the confidence interval for a given confidence level since we know the confidence interval reflects an interval.

The true mean of heights for male students at the college where the doctor measured heights is represented by the provided case's confidence level of 95% and confidence interval of (63.5, 74.4).

The doctor is therefore 95% certain that the range of the mean height of male students at the college is valid (63.5, 74.4).

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\(\tan 240^{\circ}=\frac{2\tan 120^{\circ}}{1-\tan^2 120^{\circ}}=\frac{-2\tan 60^{\circ}}{1-\tan^2 60^{\circ}}=\frac{-2\sqrt 3}{1-(\sqrt 3)^2}=\boxed{\sqrt 3}\)

The function f(x) = x^3 * e^x is increasing on the intervals (-∞, -2) and (0, ∞), and decreasing on the interval (-2, 0). It has a relative minimum at x = -2.

To determine the intervals of increase and decrease for f(x) = x^3 * e^x, we need to analyze the sign of its derivative.

First, we find the derivative of f(x) using the product rule:
f'(x) = (3x^2 * e^x) + (x^3 * e^x).

Next, we set f'(x) equal to zero to find any potential relative extrema. Solving f'(x) = 0, we get x = 0 and x = -2.

We create a sign chart to analyze the sign of f'(x) on different intervals, considering the critical points.

From the sign chart, we conclude:
Increasing intervals: (-∞, -2) and (0, ∞).
Decreasing interval: (-2, 0).

Relative maximum: None.
Relative minimum: At x = -2.

Therefore, the analysis shows that f(x) is increasing on the intervals (-∞, -2) and (0, ∞), decreasing on the interval (-2, 0), and has a relative minimum at x = -2.

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Answer:

130,a circle is 360 around so minus 230

Answer:

y=3x+3

Step-by-step explanation:

Answer: 10x+14

Step-by-step explanation: In a equation like this one you just add like terms. So 10 and 4 are added and make 14. Since there are no like terms for 10x then you just leave it be.

Answer: the placement/ digest are the same but because on is positive and the other is negative, the answer will be different

Step-by-step explanation:

Answer:

different y-intercepts; same slopes
Step-by-step explanation:

if x=0, then y=7,-7

Answer:

\({:}\longrightarrow\tt 12t +2 (t-5)=60 \)

\({:}\longrightarrow\tt 12t+2t-10=60 \)

\({:}\longrightarrow\tt 14t-10=60 \)

\({:}\longrightarrow\tt 14t=60+10 \)

\({:}\longrightarrow\tt 14t=70 \)

\({:}\longrightarrow\tt t=\cancel{\dfrac {70}{14}}\)

\({:}\longrightarrow\tt t=5 \)

\(\therefore\sf t=5 \)

Answer:

Step-by-step explanation:

To make x the subject, isolate x

7x + 8f = E

Subtract 8f from both sides

7x = E - 8f

Divide both sides by 7

\(x =\frac{E-8f}{7}\)

Answer:

x = \(\frac{E-8f}{7}\)

Step-by-step explanation:

Given

E = 7x + 8f ( subtract 8f from both sides )

E - 8f = 7x ( isolate x by dividing both sides by 7 )

\(\frac{E-8f}{7}\) = x

Answer:

her grade is 90

Step-by-step explanation:

The trigonometric function that can be used to find the value of x is 12 / tan ( 25 ) . The correct values of a and b will be 12 and 25 resp . .

Given :

A right angle triangle , one angle = 25 ° and side opposite given angle = 12 units .

Trigonometric Formula for Tan θ

tan θ = perpendicular / base , tan θ = ( sin θ / cos θ ) , tan θ = ( 1 / cot θ ) .

where θ = 25 , perpendicular = 12 , base = x .

Substituting values in above first formula ,

tan 25 = 12 / x

Therefore , x = 12 / tan ( 25 ) .

Hence , a = 12 and b = 25 .

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A power series representation for the function f(x) =\(x/36 + x^2\) is  Σ((1/36) * \(x^n\)) from n=1 to infinity + Σ\((x^{(2n)})\) from n=0 to infinity and its interval of convergence is -1 < x < 1.

To find a power series representation for f(x), we'll rewrite it as a sum of power series:

f(x) = \(x/36 + x^2\)
f(x) = (1/36) * \(x + x^2\)
f(x) = Σ((1/36) * \(x^n\)) from n=1 to infinity + Σ\((x^{(2n)})\) from n=0 to infinity

Now let's find the interval of convergence for the given power series. We'll use the Ratio Test:

For the first power series, let a_n = (1/36) * \(x^n\):
lim (n→∞) (|a_(n+1)/a_n|) = lim (n→∞) (|\((x^{(n+1)\))/(36 * \(x^n\))|) = |x|/36

For the second power series, let b_n = \(x^{2n\):
lim (n→∞) (|b_(n+1)/b_n|) = lim (n→∞) \((|(x^{(2(n+1)}))/(x^{(2n)})|) = |x|^2\)

The interval of convergence is where both series converge. The first series converges when |x|/36 < 1, or -36 < x < 36. The second series converges when \(|x|^2\) < 1, or -1 < x < 1. Therefore, the interval of convergence for f(x) is:

-1 < x < 1

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Given the following question:

Clermont - Ferrand

15 letters in total

Three R's in the 15 letters

15 - 3 = 12

12 possible letters we can receive

Simplfied fraction = 4/5

Decimal = 0.8

Period of the functions: The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ). The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.

We know that cos (t) is periodic and has a period of 2π.∴ b = 2π∴ The period of the function f(t) =

(7 cos t)² = 2π/b = 2π/2π = 1.

The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ) Hence, the period of the function f(t) =

cos (2φt²/m) is √(4πm/φ).

The function f(t) = (7 cos t)² is a trigonometric function and it is periodic. The period of the function is given by 2π/b where b is the period of cos t. As cos (t) is periodic and has a period of 2π, the period of the function f(t) = (7 cos t)² is 2π/2π = 1. Hence, the period of the function f(t) = (7 cos t)² is 1.The function f(t) = cos (2φt²/m) is also a trigonometric function and is periodic. The period of this function is given by T = √(4πm/φ). Therefore, the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

The period of the function f(t) = (7 cos t)² is 1, and the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

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The volume of the drinking glass in cubic centimeters is 442.4189 cm^3 .

The cylinder is a three-dimensional shape having a circular base.

A cylinder can be seen as a set of circular disks that are stacked on one another.

The volume of a three-dimensional shape is equal to the amount of space occupied by that shape.

Now, think of a scenario where we need to calculate the amount of sugar that can be accommodated in a cylindrical box.

For any cylinder with base radius ‘r’, and height ‘h’, the volume will be base times the height.

Therefore, the cylinder’s volume of base radius ‘r’, and height ‘h’ = (area of base) × height of the cylinder

Since the  base is the circle, it can be written as

Volume =  πr^2 × h

Therefore, the volume of a cylinder = πr^2h cubic units.

diameter of 2.5 in

r = 2.5/2 in.

r = 1.25 in

r = 3.175 cm

cylindrical drinking glass 5.5 in. tall

h = 5.5 in.

h = 13.97cm

volume of the drinking glass

Volume =  πr^2 × h

              =   π ( 3.175)^2 ×  13.97  cm^3

              = 442.4189 cm^3

The volume of the drinking glass in cubic centimeters is 442.4189 cm^3 .

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It will take approximately 6.93 years for the investment to grow to $28000 at a continuously compounded interest rate of 10%.

To determine the time it will take for the investment to grow to $28000 at a continuously compounded interest rate of 10%, we can use the continuous compound interest formula:

A = P * e^(rt)

Where:

A = Final amount ($28000)

P = Principal amount ($14000)

r = Annual interest rate (0.10)

t = Time in years (unknown)

Substituting the given values into the formula, we have:

28000 = 14000 * e^(0.10t)

Dividing both sides of the equation by 14000, we get:

2 = e^(0.10t)

Taking the natural logarithm (ln) of both sides, we have:

ln(2) = ln(e^(0.10t))

Using the property of logarithms, ln(e^(0.10t)) simplifies to 0.10t:

ln(2) = 0.10t

Now, we can solve for t by dividing both sides by 0.10:

t = ln(2) / 0.10 ≈ 6.93 years

Therefore, it will take approximately 6.93 years for the investment to grow to $28000 at a continuously compounded interest rate of 10%.

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Answer:

-2

WORK

f(x) = 3x + 2

f(x) = -4

-4 = 3x + 2

-4 = 3x + 2

-2

-6 = 3x

-6/3 = -2

Answer: 7/30 as a decimal is 0.23333333333333

Hope this helps!

Answer:

Step-by-step explanation:

The value of A is 4

Answer: 79

Step-by-step explanation:

find area of 1 small bubble

πr² = π × 5²

= 78.54

total area of 4 small bubble

78.54 × 4 = 314.16

total area of 4 small bubble = area of big bubble

= 314.16

find it's radius

πr² = 314.16

r² = 314.16 ÷ π

r² = 100

r = √100

r = 10

Answer:

AREA OF LARGE BUBBLE=PI×R^2

AREA OF 1 SMALL BUBBLE =PI×r^2

then area of 4 small bubble =(PI×r^2)×4

now,

area of large bubble =area of 4 small bubble

PI×R^2=4×(PI×r^2)

R= 10 cm

Answer:

4/21

Step-by-step explanation:

It should be a porpotion

The equation or system of equations that can be used to determine the number of cats and dogs Bea has in her pet shop is d = 2c - 5 d + 3 = c + 3. We can solve the system of equations using substitution and plug it back into either equation to find the value of d, which is 8 cats and 10 dogs.

The equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop is:

d = 2c - 5

d + 3 = c + 3

No, Bea's Pet Shop could not initially have 15 cats and 20 dogs. This is because the equation or system of equations states that the number of dogs is five less than twice the number of cats, which would mean that 15 cats would result in 25 dogs, which is not equal to 20.

To determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop, we can use the equation or system of equations that we previously created.

d = 2c - 5

d + 3 = c + 3

We can solve the system of equations using substitution:

d = 2c - 5

d + 3 = c + 3

d + 3 = c + 3

d = c + 3

2c - 5 = c + 3

2c = c + 8

c = 8

Once we determine the value of c, we can plug it back into either equation to find the value of d:

d = 2(8) - 5

d = 15 - 5

d = 10

Therefore, Bea initially had 8 cats and 10 dogs in her pet shop.

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The complete question is: At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c. If she decides to add three more of each, the ratio of cats to dogs will be – Write an equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop. Could Bea's Pet Shop initially have 15 cats and 20 dogs? Explain your reasoning. Determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop.​