I need someone to pls pls help me on these

Answer:

50.27

Step-by-step explanation:

First, we have to find the volume of the cone using the formula V=πr^2h/3, where pi is 3.14. After plugging everything in, we get V = 75.4. Then, we have to find 2/3 of that. Rounding to the nearest hundredth, we get 2/3 x 75.4 = 50.27.

Compared with the graph of the parent function, an equation which shows only a vertical compression by a scale factor of 1/3 and a shift downward of 4 units is: A. y = 1/3∛x - 4.

In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric objects (shapes) such as equilateral triangles, square, quadrilaterals, polygons, etc., which can be used to either vertically or horizontally enlarge or reduce (compress) a function representing their size.

Generally speaking, the transformation rule for the dilation of a geometric object (square) based on a specific scale factor is given by this mathematical expression:

(x, y)      →    (SFx, SFy)  = (1/3x, 1/3y)

Where:

In this scenario, the only equation that is vertically compressed by a scale factor of 1/3 and translated (shifted) downward by 4 units is given by:

y = 1/3∛x - 4.

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Answer:

The first part is A

and second part is D

Step-by-step explanation:

100% on edge 2023

Answer: 16

Step-by-step explanation: I don't know how to explain.

Answer:

16

Step-by-step explanation:

Divide both 200/25 = x/2

Multiply all the terms by the same value to eliminate fraction denominators

8 = x/2

2*8=2* x/2

Cancel multiplied terms that are in the denominator

2*8=2*x/2

2*8=16

x=16

hope this helps

Answer:

-60

Step-by-step explanation:

Og problem: x(2x + 2x - 8y + 16)

Substitution: 3(6 + 6 - 48 + 16)

Solve: 3(12 - 48 + 16)

3(-36 + 16)

3(-20) = -60

Answer:

Step-by-step explanation:

The first three terms of the arithmetic sequence for the number of words written are 10010, 9760, 9510. These have a common difference of 9760-10010 = -250. The first term and common difference can be used to make the explicit equation for the words written on the n-th day.

The explicit formula for the n-th term of an arithmetic sequence with first term a₁ and common difference d is ...

  \(a_n=a_1+d(n-1)\)

For first term a₁ = 10010 and common difference d = -250, the explicit rule is ...

  \(a_n=10010-250(n-1)\)

On day 14, n=14, and the number of words written is ...

  \(a_{14}=10010-250(14-1)\\\\a_{14}=10010-250(13)=10010-3250\\\\a_{14}=6760\)

The writer would write 6760 words on the 14th day.

Answer:

x = \(\frac{3wyz}{4wz+wy-2yz}\)

Step-by-step explanation:

Given

\(\frac{2}{w}\) + \(\frac{3}{x}\) - \(\frac{4}{y}\) = \(\frac{1}{z}\)

Multiply through by wxyz to clear the fractions

2xyz + 3wyz - 4wxz = wxy ( subtract wxy from both sides )

2xyz + 3wyz - 4wxz - wxy = 0 ( subtract 3wyz from both sides )

2xyz - 4wxz - wxy = - 3wyz ( factor out x from each term on the left side )

x(2yz - 4wz - wy) = - 3wyz ( divide both sides by (2yz - 4wz - wy )

x = \(\frac{-3wyz}{2yz-4wz-wy}\) ( multiply numerator/ denominator by - 1 )

x = \(\frac{3wyz}{4wz+wy-2yz}\)

false. The vertical axis is the y-axis, which is where x=0. In this equation, when x=0, we have: y=4(0)-5
y=-5

Therefore, the line produced by the equation Y=4X−5 crosses the vertical axis at y=-5, not y=5.

To further understand this concept, we can visualize the equation on a graph. When we plot the points (0,-5) and (1,-1) (which is found by substituting x=1 into the equation), we can draw a line that passes through both points. This line is the graph of the equation Y=4X−5. We can see that the line crosses the vertical axis (y-axis) at y=-5, which confirms that the answer is false.

In summary, the equation Y=4X−5 crosses the vertical axis (y-axis) at y=-5, not y=5.

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The probability of drawing a diamond or a spade card from a standard deck of cards and rolling a 2 on a six-sided die is 8.33%

To calculate the probability of drawing a diamond or a spade card from a standard deck of cards, we need to find the total number of diamond and spade cards in the deck. There are 13 cards in each suit, so there are 26 diamond and spade cards in total. The deck has 52 cards in total, so the probability of drawing a diamond or a spade card is:

P(diamond or spade) = 26/52 = 1/2 = 50%

To calculate the probability of rolling a 2 on a six-sided die, we need to find the total number of possible outcomes, which is 6 (since there are 6 sides on the die), and the number of favorable outcomes, which is 1 (since there is only one face with a 2 on it). Therefore, the probability of rolling a 2 on a six-sided die is:

P(rolling a 2) = 1/6 = 16.67%

To find the probability of both events happening together (drawing a diamond or a spade card and rolling a 2 on a six-sided die), we multiply the probabilities of each event:

P(diamond or spade AND rolling a 2) = P(diamond or spade) * P(rolling a 2)
= 50% * 16.67%
= 8.33%

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The Average acceleration is -4.39 fps^2 and the stopping time is 3.96 seconds

We know that

Average acceleration formula is: a = ( v - u ) / t

Stopping distance formula is: s = ( u * t ) + ( 0.5 * a * t ^ 2)

where v => initial velocity

u => final velocity

t => time taken

Initial velocity, u = 52 mph

Final velocity, v = 0 mph

Stopping distance, s = 145 feet

Initial velocity (u) = 52 mph = 52 * 1.47 fps (1 mph = 1.47 fps) ≈ 76.44 fps

s = (u * t) + (0.5 * a * t^2)

145 = (76.44 * t) + (0.5 * a * t^2)   --> ( Equation1 )

v = u + (a * t)

0 = 76.44 + (a * t) --> ( Equation2 )

Now, from equation2, at = -76.44

Placing at value in equation1, 145 = ( 76.44 + 0.5 * (-76.44) ) * t

t = 3.96

Placing t value in at = -76.44,

a = 4.39

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Answer:

Step-by-step explanation:

Answer:

\(\boxed{\sf \ \ \ -2(x+4)(x-3)^3 \ \ \ }\)

Step-by-step explanation:

Hello,

let's note k a real, we can write the polynomial as

\(k(x-(-4))^1(x-3)^3=k(x+4)(x-3)^3\)

and we know that f(0)=216 so

\(216=k(0+4)(0-3)^3=k*4*(-1)^3*3^3=-27*4*k=-108k\\\\<=> k=-\dfrac{216}{108}=-2\)

So the solution is

\(-2(x+4)(x-3)^3\)

hope this helps

Answer:

hi hi hi hi hi hi hi hihi hi hi hi hi hi

Answer:

3 students

Step-by-step explanation:

1. Multiply 27 students by 11.111....%

   That would look like:

    27 x 0.1111111111 = 3

2. The answer is 3 students know calligraphy.

The court's action of taking judicial notice that it is impossible to travel from New York to Tampa without crossing a state line has the effect of establishing a fact without requiring formal proof during the trial.

Judicial notice is a legal doctrine that allows a court to accept certain facts as true without requiring formal evidence or proof. In this case, the court has taken judicial notice of the fact that it is impossible to travel from New York to Tampa without crossing a state line. By doing so, the court treats this fact as common knowledge that does not need to be proven during the trial. This means that the prosecutor does not have to provide specific evidence or arguments to establish the element of crossing state lines, as it is considered an indisputable fact in this particular case. The court's action simplifies the proceedings by accepting this fact without requiring further substantiation.

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Answer:

Step-by-step explanation:

We can solve the height of a square pyramid using the Pythagoras theorem, this is because the slant height the height and the section of the base form a right triangle

the slant height is equivalent to the hypotenuse

the height is equivalent to the opposite

while the base(half) is the adjacent

Given

the base of the pyramid= \(22.2 in\)

the adjacent is = \(\frac{22.2}{2} = 11.1 in\)

the slant height (hypotenuse)= \(88.2 in\)

we know that Pythagoras theorem states that "The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle) is equal to the square of the length of the hypotenuse ('c').

\(c^2=a^2 + b^2\)

\(hyp^2=opp^2+adj^2\)

substituting we have

\(88.2^2=opp^2+11.1^2\\opp^2= 88.2^2-11.1^2\\opp^2=7779.24-123.21\\opp^2=7656.03\\opp=\sqrt{7656.03} \\opp=87.498\\opp=87.50 in\)

The inequalities are x ≤ -2 and x <-5.

We have,

x is less than or equal to -2 and x is less than -5.

writing the inequality in mathematical expression as

x is less than or equal to -2  = x ≤ -2.

and, x is less than -5 = x <-5.

Now, for x ≤ -2  the number line start from -2 with closed dot and move towards -3, -4, -5, ....

and, for x < -5 the number line start from -5 with open dot move towards -6, -7, -8, ....

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Answer:

About 3.7 times or 4 times.

Step-by-step explanation:

6.14 x 10 - 3 = 61.4-3

61.4 - 3 = 58.4

1.98 x 10 - 4 = 19.8 - 4

19.8 - 4 = 15.8

58.4 ÷ 15.8 = 3.696202531645569620253164556962‬ ≈ 3.7 times

Answer:

-1

Step-by-step explanation:

You have to do rise over run.

One thing we already know is that the slope is negative because it's pointing in this direction \ <======

I will make a picture.

But the rise is 4 and the run is 4 so the slope is -1x or just -x

Hope this helps ya!!

Answer:

Equation of line: y = -x + 4

Slope: -1

Hopw this helps :)

Answer:

Yes, y=1

Step-by-step explanation:

So, QT and ST are congruent (equal to each other)

So, we just set the values equal to each other too

9y=y+8

subtract y from both sides, and you get:

8y=8

divide both sides by 8 and you get:

y=8

Answer:1500 and the raise she will get each year

Step-by-step explanation:

Answer:

The slope of the function is 1500 which represents the raise that Sydney will get each year.

Step-by-step explanation:

The slope shows how much the salary increases each year, which is the same thing as saying that Sydney got a raise of $1500 every year.

Have a good day :)

Answer:

18.75 years

Step-by-step explanation:

first multiply the amount to the rate

5,000 × 8% = 400

second

7,500/ 400 = 18.75

it takes 18.75 to reach 7,500

Answer:

the difference is 24 inches if that was wut u were asking

Step-by-step explanation:

The general solution is then:

y = y_h + y_p
y = e^(4x)(c1*cos(sqrt(4)x) + c2*sin(sqrt(4)x)) + (13/2)x^2 - (21/4)x - (11/4)e^x

To solve this differential equation by undetermined coefficients, we first find the homogeneous solution by solving the characteristic equation:

r^2 - 8r + 20 = 0

The roots of this equation are r = 4 ± sqrt(4), which are complex conjugates. Therefore, the homogeneous solution is:

y_h = e^(4x)(c1*cos(sqrt(4)x) + c2*sin(sqrt(4)x))

To find the particular solution, we guess a solution of the form:

y_p = Ax^2 + Bx + Ce^x

Taking the first and second derivatives of this guess, we have:

y'_p = 2Ax + B + Ce^x

y''_p = 2A + Ce^x

Substituting these into the original differential equation, we get:

2A - 8(2Ax + B + Ce^x) + 20(Ax^2 + Bx + Ce^x) = 100x^2 - 65xe^x

Simplifying and collecting like terms, we get:

(20A - 8C)x^2 + (20B - 65C)e^x + (2A - 8B + 20C) = 100x^2 - 65xe^x

Equating coefficients, we get the system of equations:

20A - 8C = 100
20B - 65C = -65
2A - 8B + 20C = 0

Solving for A, B, and C, we get:

A = 13/2
B = -21/4
C = -11/4

Therefore, the particular solution is:

y_p = (13/2)x^2 - (21/4)x - (11/4)e^x

The general solution is then:

y = y_h + y_p
y = e^(4x)(c1*cos(sqrt(4)x) + c2*sin(sqrt(4)x)) + (13/2)x^2 - (21/4)x - (11/4)e^x

where c1 and c2 are arbitrary constants.

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The given series is:infinity (-1)^n (2n)/(n!) (7·12·17·⋯·(5n2))n=1We need to determine whether the series is absolutely convergent, conditionally convergent, or divergent.

\(\((-1)^n (2n)/(n!) (7·12·17·⋯·(5n2))n=1\)\)

The series can be written as:\((-1)^n 2^n/[(n/2)! * (5/2)^n] × [(5/2)^(2n)]\)Multiplying and dividing the n-th term of the series by\((5/2)^n, we get:((-1)^n/2^n) × (5/2)^n / [(n/2)! × (5/2)^n] × [(5/2)^(2n)]The first term is (-1/2)\), the second term is (5/2), and the third term is [(5/2)^2]^n/(n/2)!∴ The series becomes:\([(-1/2) + (5/2) - (5/2)^2/2! + (5/2)^3/3! - (5/2)^4/4! + ….]\)

Multiplying the numerator and denominator of each term by (5/2), we get\(:[(-1/2) × (5/2)/(5/2) + (5/2) × (5/2)/(5/2) - \((5/2)^2\)× (5/2)/(2! × (5/2)) + (5/2)^3 × (5/2)/(3! × (5/2)) - (5/2)^4 × (5/2)/(4! × (5/2)) + …]\)On solving the above equation, we get:\([(25/4) × (-1/5) + (25/4) × (1/5) - (25/4)^2/(2! × 5^2) + (25/4)^3/(3! × 5^3) - (25/4)^4/(4! × 5^4) + ….]\)The series is absolutely convergent.\(\((-1)^n 2^n/[(n/2)! * (5/2)^n] × [(5/2)^(2n)]\)\)

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The rate at which the shadow of the man is increasing in length is 1/5 m/s.

We can solve this problem using similar triangles. Let x be the length of the shadow, and let y be the distance between the man and the base of the lamppost. Then, we have the following equation:

(1.4 + x)/y = 1/5

Solving for x, we get:

x = (y/5) - 1.4

Differentiating both sides with respect to time t, we get:

dx/dt = (1/5) dy/dt

We are given that dy/dt = 1 m/s, so substituting that in, we get:

dx/dt = (1/5) m/s

Finally, we are asked for the rate at which the shadow length is increasing, which is just dx/dt. Thus, the rate is (1/5) m/s.

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Step-by-step explanation:

This is a word problem that we must translate to mathematical expression before we can solve.

let the individual saving be the first letters of the names

Jada= J

Lin= L

Elena= E

1. Jada saved $20 less than Lin

    J=L-20

2. Lin saved 3 times as much money as Elena

   L= 3E

3. Hence Elena saved

   E

Together they saved $120.

hence

(L-20)+3E+E= 120

L-20+3E+E= 120

collecting like terms we hav

L+4E=120+20

L+4E= 140

but we know that L= 3E

3E+4E= 140

7E= 140

divide both sides by 7 we have

E= 140/7

E= $20

This means Elena saves $70

also  L= 3E

L= 3*20

L= $60

this means that Lean saved $60

also  J=L-20

J= 60-20

J= $40

This means that Jada saved $40

Answer:

30

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

150 = ?+120

Subtract 120 from each side

150-120 = ?

30 = ?

Answer:

\(\huge\boxed{<SUT = 30\ degrees}\)

Step-by-step explanation:

According to exterior angle theorem:

The measure of the exterior angle is equal to the sum of non-adjacent interior angles.

So,

< VST = <STU + <SUT

150 = 120 + <SUT

<SUT = 150-120

<SUT = 30 degrees

Answer:

Mai would need 4 bags.

Step-by-step explanation:

I suppose we would know that 9*3= 27, but 8*3=24 so therefore Mai would need one extra bag to get 27 stickers ( plus a few extra )

Given:

It can be written as follows.

Dividing 5.44 by 6.8, we get

Hence the quotient is

Answer:

Probability=

(number if outcomes favourable)/(total number of outcomes)

Therefore P(no red/green)=1-(8/21+6/21)

=1-(8+6)/21=1-14/21=(21×1-14)/21=(21-14)/21

=7/21=1/3 ans

Step-by-step explanation: