a study was conducted on students from a particular high school over the last 8 years. the following information was found regarding standardized tests used for college admitance. scores on the sat test are normally distributed with a mean of 990 and a standard deviation of 201. scores on the act test are normally distributed with a mean of 21.6 and a standard deviation of 4.1. it is assumed that the two tests measure the same aptitude, but use different scales.If a student gets an SAT score that is the 70-percentile, find the actual SAT score. SAT score = _____ Round answer to a whole number. What would be the equivalent ACT score for this student? ACT score = ____Round answer to 1 decimal place.If a student gets an SAT score of 1536, find the equivalent ACT score. ACT score = ____ Round answer to 1 decimal place.

Gabriella went skiing for 4 hours and the algebraic equation to represent the situation is 35 + 15t = 95, where t is the number of hours she went skiing.

An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An algebraic equation is the equality of expressions.

Let t = number of hours she went skiing

y = amount she paid in total

If she paid $35 to rent skis and $15 an hour to ski and paid a total of $95, we can express this as

$35 + $15(t) = $95

Solving for the value of t, we'll have

15t = 95 - 35

15t =60

t = 4

Hence, she went skiing for 4 hours.

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Answer:

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ΔABC and ΔXYZ are congruent triangles.

Corresponding angles map as per the order of vertices:

The congruent pairs of angles are:

This is matching option C.

Each side of the square room is 9 feet long.

A square is a two-dimensional geometric shape with four equal sides and four equal angles of 90 degrees each. It is a type of rectangle, but it has the additional property that all its sides are of equal length.

Since the room is square and the floor tiles are also square, the number of tiles required to cover the floor is equal to the area of the room divided by the area of each tile.

Let's assume that each side of the square room is "x" feet long. Then, the area of the room can be expressed as x² square feet. If each floor tile measures "y" feet on each side, then the area of each tile can be expressed as y² square feet.

Given that 81 tiles are required to cover the floor, we can set up the following equation:

x² / y² = 81

To solve for "x", we need to first determine the value of "y". Since each floor tile is a square, we can assume that y is the length of one side of a tile. Let's suppose that each tile measures 1 foot on each side. Then, the area of each tile is y² = 1² = 1 square foot.

Substituting y = 1 in the above equation, we get:

x² / 1² = 81

x² = 81

x = √(81)

x = 9

Therefore, each side of the square room is 9 feet long.

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A graph with 10 vertices and no simple circuit is a forest with 10 trees. A tree with n vertices has n-1 edges, so the maximum number of edges for this forest is 10-10+10-1+...+10-1=1. Therefore, the maximum number of edges in the graph without a simple circuit is 1.

If a graph has no simple circuit, it is called a forest. A tree is a connected forest.

A tree with n vertices has exactly n-1 edges. Therefore, a forest with n vertices and k trees has n-k edges.

In the case of a graph with 10 vertices and no simple circuit, the forest would have 10 vertices and no cycle, which means it would consist of 10 trees. Therefore, the maximum number of edges that the graph could have without containing a simple circuit would be:

10 - 10 + 10-1 + 10-1 + ... + 10-1 = 10 - 9 = 1

So, the maximum number of edges that the graph could have without containing a simple circuit is 1.

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The scale factor of △DEC to △RST is 13 : 3.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller). For instance, we can increase the size of a rectangle with sides of 2 cm and 4 cm by multiplying each side by, let's say, 2.

A multiplicative inverse or reciprocal for a number y, denoted by 1/y or y⁻¹, is a number that when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction b/a is a/b.

The scale factor of △RST to △DEC is 3 : 13.

Now, △DEC to △RST is the inverse of  △RST to △DEC

Therefore,

\(\frac{\Delta RST}{\Delta DEC} = \frac{3}{13}\)

\(\frac{\Delta DEC}{\Delta RST} =\frac{13}{3}\)

Hence, the scale factor of △DEC to △RST is 13 : 3.

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\(\bigstar\boxed{\large\bf{\leadsto 6\:floors}}\)

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀

\(\begin{gathered}\rm{ \underline{ \underline{ \red{Given}}}}\begin{cases}\sf{height\:of\:one\:floor\:of\:dollhouse =12.4\:in} & \\ \\\sf{Height\:of\: dollhouse=75\:in}&\end{cases}\\\\\end{gathered} \)

➜ Therefore , Total number of floors can be find out by dividing the total height of dollhouse by the length of one floor

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\bf{=\cancel{ \dfrac{75}{12.5}}}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(\bf{= 6}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀

Solution:

Explanation:

The position, velocity, and acceleration of mass A can be found by taking the first and second derivatives of the given equation with respect to time, t. The first derivative will give us the velocity, and the second derivative will give us the acceleration.

(a) When t = 1 s:
Position, x = 10 sin 2(1) + 15cos2(1) + 100 = 10 sin 2 + 15cos2 + 100 = 114.96 mm
Velocity, v = dx/dt = 20 cos 2t - 30 sin 2t = 20 cos 2(1) - 30 sin 2(1) = -17.32 mm/s
Acceleration, a = dv/dt = -40 sin 2t - 60 cos 2t = -40 sin 2(1) - 60 cos 2(1) = -41.23 mm/s^2

(b) The maximum velocity and acceleration can be found by finding the critical points of the first and second derivatives, respectively. This is done by setting the derivatives equal to zero and solving for t.

For maximum velocity:
0 = 20 cos 2t - 30 sin 2t
30 sin 2t = 20 cos 2t
tan 2t = 2/3
2t = tan^-1(2/3)
t = 0.2915 s

For maximum acceleration:
0 = -40 sin 2t - 60 cos 2t
60 cos 2t = -40 sin 2t
tan 2t = -3/2
2t = tan^-1(-3/2)
t = 0.6405 s

Therefore, the maximum velocity occurs at t = 0.2915 s and the maximum acceleration occurs at t = 0.6405 s.

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(a) The position, velocity and acceleration of mass A is 110 mm,  -10 mm/s,  -50 mm/s2 respectively.

(b) The maximum velocity and the maximum acceleration of A is 20.81 mm/s, -61.87 mm/s2 respectively.

The position, velocity and acceleration of mass A when t = 1 s can be determined by substituting t = 1 s into the given equation, x = 10 sin 2t + 15cos2t + 100.

Position: x = 10 sin 2(1) + 15cos2(1) + 100 = 110 mm

Velocity: x' = 20 cos 2(1) - 30 sin 2(1) = -10 mm/s

Acceleration: x'' = -40 sin 2(1) - 30 cos 2(1) = -50 mm/s2

The maximum velocity of A can be determined by finding the points of inflection in the equation. This occurs when x'' = 0. Solving for t:

-40 sin 2t - 30 cos 2t = 0

sin 2t = 0.75

2t = sin-1(0.75) ≈ 0.927 radians

t = 0.464 s

Maximum Velocity: x' = 20 cos 2(0.464) - 30 sin 2(0.464) = 20.81 mm/s

The maximum acceleration of A can be determined by finding the points of extrema in the equation. This occurs when x' = 0. Solving for t:

20 cos 2t - 30 sin 2t = 0

cos 2t = 1.5

2t = cos-1(1.5) ≈ 0.524 radians

t = 0.262 s

Maximum Acceleration: x'' = -40 sin 2(0.262) - 30 cos 2(0.262) = -61.87 mm/s2.

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Answer:

fgg I have to go to sleep otp tonight and I really want to talk to you tttttt and I really want to talk to you about it when I get home I will send you a picture of the back of the house and the time is right now but I will be there in a few minutes and I will be there in a few minutes and I will

If the mpc increases in value, the consumption function will become steeper.

What is MPC ?

MPC is an advanced method of process control that is used to control a process while satisfying a set of constraints. In economics, the marginal propensity to consume is a metric that quantifies induced consumption, the concept that the increase in personal consumer spending occurs with an increase in disposable income. The proportion of disposable income which individuals spend on consumption is known as propensity to consume. MPC is the proportion of additional income that an individual consumes.

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Answer:

The answer is

x=98°

y=82°

Z=82°

Step-by-step explanation:

x=98°(alternate angles)

98+y=180(sum of angles ona straight line)

y=180-98

y=82°

y=z

z=82(alternate angles)

Answer: 82, 98, 82

Step-by-step explanation:

Using the angle theorem:

180=98+z so 180-98=z so z=82

Hence, x=98 (since z+x=180)

y=82 as well

Answer:

D

Step-by-step explanation:

hi i am NyLa. i am the founder of "BGP" Blckgirlpower. I just opened new spots on my team if you want to join email me at fnyla36 comment to join. You have to be 11- 13 its ok to be shy but at least give it a chance. Hope to see you soon !

Answer:

y = 2x

Step-by-step explanation:

x represents the amount of attendees. y is the total amount of money they get.

Answer:

CE = 15

CD = 10

Step-by-step explanation:

DE is 1/3 of the total line

DE = 5

CE is 3/3 of the line 5 × 3 = 15 which is your whole line

CD is 2/3 of the line so you would need to 5 × 2 = 10

To evaluate the relationships of various clinical factors with overall survival results and prognostic factors among T4 local advanced non-small cell lung cancer (LA-NSCLC) patients in a large heterogeneous group, in accordance with this new system, both univariate and multivariate analysis can be used. Univariate analysis examines each clinical factor individually, while multivariate analysis considers multiple factors simultaneously.

In univariate analysis, you would assess the impact of each clinical factor on overall survival independently. This can be done by calculating the hazard ratio or using survival curves to compare the survival rates between groups with different levels of the clinical factor.

On the other hand, multivariate analysis takes into account multiple clinical factors simultaneously to assess their combined impact on overall survival. This is typically done using regression models, such as Cox proportional hazards regression, which allows you to control for confounding variables and examine the independent effects of each clinical factor.

By using both univariate and multivariate analysis, you can gain a comprehensive understanding of how each clinical factor relates to overall survival, both individually and in combination with other factors.

Complete question: Evaluate univariate and multivariate analysis to assess the relationships of various clinical factors with overall survival results and prognostic factors among T4 local advanced non-small cell lung cancer (LA-NSCLC) patients in a large heterogeneous group, in accordance with this new system.

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Answer:

Step-by-step explanation:

SOHCAHTOA

Cosine = Adjacent  / Hypotenuse (Hypotenuse is the side opposite from the right angle)

The Hypotenuse is BT which has a measure of 25

Legs are the two sides that are not the Hypotenuse.

The adjacent leg to Angle B is SB which has a measure of 20.

Plug the measures in to get SinB = 20/25

Answer:

1) 0.04, 3.6

2) 0.35, 49

Step-by-step explanation:

Answer:

1. 90x0.04= 3.6

2. 140x0.35=49

Step-by-step explanation:

convert to decimal to calculate the percent.

Based on the question you provided, we can estimate the distance an athlete can jog in 2 hours given the information that the average person can walk 9/10 mile in 1/3 hour and the athlete can jog 3 times that speed.

If the average person can walk 9/10 mile in 1/3 hour, then their average speed would be:

(9/10) miles ÷ (1/3) hour = (9/10) ÷ (1/3) ≈ 2.7 miles per hour

Since the athlete can jog 3 times that speed, their average jogging speed would be:

2.7 × 3 = 8.1 miles per hour

Therefore, in 2 hours, the athlete can roughly jog a distance of:

distance = speed × time = 8.1 miles/hour × 2 hours = 16.2 miles

So we can estimate that the athlete can jog a distance of 16.2 miles in 2 hours.


hope this helps :)

from your boy on top

The Laplace Transform for given function f(t)={ 2, −2, 0≤t<3, t≥3 is 0.

Given function is:

f(t)={ 2, −2, 0≤t<3, t≥3

First we have to find the Laplace transform of the given function.

To find the Laplace transform of the given function, we use the definition of Laplace Transform which is given below: f(t) is the time domain function, F(s) is the Laplace transform function and s is the complex frequency.

Here, we have to find the Laplace transform of the function f(t)={ 2, −2, 0≤t<3, t≥3

Using the definition of Laplace Transform, we have:

Consider first part of the function: f(t) = 2, 0 ≤ t < 3

Applying Laplace Transform,

L{f(t)} = L{2}

= 2/s

Again consider the second part of the function:

f(t) = -2, t ≥ 3

Applying Laplace Transform, L{f(t)} = L{-2}

= -2/s

Now, taking the Laplace transform of the whole function, we get:

L{f(t)} = L{2} + L{-2} + L{0}

L{f(t)} = 2/s - 2/s + 0/s

L{f(t)} = 0/s

L{f(t)} = 0

Thus, the Laplace Transform of f(t)={ 2, −2, 0≤t<3, t≥3 is 0.

So, the answer is: L{f(t)} = 0.

Therefore, the Laplace Transform of f(t)={ 2, −2, 0≤t<3, t≥3 is 0.

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The Laplace transform of the given function f(t) is 2/s [1 - e^(-3s)]

To find the Laplace transform of the given function f(t), we need to apply the definition of the Laplace transform and evaluate the integral. The Laplace transform of a function f(t) is defined as:

F(s) = L[f(t)]

= ∫[0,∞] e^(-st) f(t) dt

Let's calculate the Laplace transform of the given function f(t) piece by piece:

For 0 ≤ t < 3:

f(t) = 2∫[0,∞] e^(-st) f(t) dt

= ∫[0,3] e^(-st) (2) dt

= 2 ∫[0,3] e^(-st) dt

To evaluate this integral, we can use the substitution u = -st,

du = -s dt:

= 2/s ∫[0,3] e^u du

= 2/s [e^u]_[0,3]

= 2/s [e^(-3s) - e^(0)]

= 2/s [e^(-3s) - 1]

For t ≥ 3:

f(t) = -2

∫[0,∞] e^(-st) f(t) dt = ∫[3,∞] e^(-st) (-2) dt

= -2 ∫[3,∞] e^(-st) dt

Again, using the substitution u = -st,

du = -s dt:

= -2/s ∫[3,∞] e^u du

= -2/s [e^u]_[3,∞]

= -2/s [e^(-3s) - e^(-∞)]

= -2/s [e^(-3s)]

Therefore, the Laplace transform of the given function f(t) is:

F(s) = L[f(t)] = 2/s [e^(-3s) - 1] - 2/s [e^(-3s)]

= 2/s [e^(-3s) - 1 - e^(-3s)]

= 2/s [1 - e^(-3s)]

Hence, the Laplace transform of f(t) is 2/s [1 - e^(-3s)].

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The correct answer is 9 is greater than 4. The difference between them is 5.

We have to  calculate the greater of the two given numbers 4 and 9 in three different ways:

Method 1: By Observation- We can determine the greater of the two numbers 4 and 9 through observation.4 is a single-digit number, and 9 is a two-digit number.

As a result, 9 is greater than 4.

Method 2: Using Inequality Symbol- In terms of inequality, we can write: 4 < 9, which means 4 is less than 9.

As a result, 9 is greater than 4.

Method 3: Using Subtraction- We can find the difference between the two numbers to determine which one is greater.

In this case, we have:9 - 4 = 5

Therefore, 9 is greater than 4. The difference between them is 5.

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if you have a picture of the options that would be great! but for now, i’m gonna attach a picture with an example of a transformation.

the first triangle shows what it’s starting at.

the first transformation is turn 90 degrees clockwise.

the second transformation is turned ANOTHER 90 degrees, which would make the total transformation 180 degrees

Answer:

b

Step-by-step explanation:

Answer:

The slope is 2.

Step-by-step explanation:

slope = rise/run

= 1-(-5) / 2-(-1)

= 6/3 = 2

Therefore, the slope is 2.

Frist one: B

Second one: C

Third one: C

fourth one: A

1st problem:

To convert 0.6 into fraction, we have to write it in p/q form, where p and q are positive integers:

→ 0.6 = 6/10

By the use of cancellation:

→ 6/10 = 3/5

Therefore, the correct answer is option B

2nd problem:

→ 4/5

→  = (4 × 2) / (5 × 2)

→ = 8/10 = 0.8

Therefore, the correct answer is option C

3rd problem:

→ 40% = 40/100

Find the GCF or the greatest common factor of 40 and 100:

20 is the GCF

→ (40 ÷ 20) / (100 ÷ 20)

→ = 2 / 5

Therefore, the correct answer is option C

Last problem:

→  11 50 × 100

You will get the percent value. 22

Therefore, the correct answer is option A

Thus, the correct options are:

Frist one: B

Second one: C

Third one: C

fourth one: A

Answer:

B C C A

Step-by-step explanation:

1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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The domain of f(x, y) for the given equation is a disk centered at the origin with a radius of 2.

The equation x - y = √(x² + y²) - 4 represents a curve in the xy-plane. To determine the domain of f(x, y), we need to find the set of all points (x, y) that satisfy this equation.

First, let's rewrite the equation as √(x² + y²) = x - y + 4. We notice that the left-hand side represents the distance of a point (x, y) from the origin, and the right-hand side represents the equation of a line. Therefore, the equation represents the set of points where the distance from the origin is equal to the distance from the line x - y + 4 = 0.

To visualize the domain, we can draw a circle with the origin as the center and a radius of 2. Any point (x, y) within this circle satisfies the equation. However, points outside the circle do not satisfy the equation, as their distance from the origin would be greater than the distance from the line x - y + 4 = 0.

Hence, the domain of f(x, y) is a disk centered at the origin with a radius of 2.

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Data:

Distance: 285 miles

Time: 4 hours

As the speed was constant, you can calculated it, as follow:

Then, you can find the distance in 3 hours with the next formula:

You know the value of the spped (71.25miles/h) and the time is 3h:

Answer:

the third one

Step-by-step explanation:

Answer:

that would be c

Step-by-step explanation:

Answer:

475

Step-by-step explanation:

1021-71

950/2

Answer:

c^2 = a^2 + b^2 - 2ab cos(C)

Step-by-step explanation:

The angle at A is named A, the angle at B is named B, and the angle at C is named C