6 less than half of r : translate into expression

Answers

Answer 1

Answer:

r/2 -6

Step-by-step explanation:

less than means it comes after

half of r

r/2

6 less than means subtract

r/2 -6


Related Questions

The square root of the difference between a number and 10 Can someone please help me I’m stuck!

Answers

Answer:

i think its n-5

Step-by-step explanation:

hope this helps any

Answer:

√[n - 10]

Step-by-step explanation:

Write this:  √[n - 10]

En un salón de clase, el número de mujeres equivale al 80% del total de sus asistentes, si se retiran el 20% de dichas mujeres ¿Qué porcentaje del resto son hombres?

Answers

Answer:

This is an english server

If f(x)= 3x-2 find x if f(x)= 19

Answers

Answer:

x=6

Step-by-step explanation:

3(6)+1=18+1=19.

The expression 6s^2 can be used to find the surface area of a cube whose side length is s. Find the
surface area of a cube whose side length is 4 inches.

Answers

The answer is:

6s^2

6(4)^2

6(16)

The answer is 96

Which of the following parameters is required to convert a computer-generated random variable into a uniform random variable?

a. Variance of the distribution

b. Mean of the distribution

c. Moments of the distribution

d. Range of the distribution

Answers

The range of the distribution is the parameter that is required to convert a computer-generated random variable into a uniform random variable. Below are more than 100 words explaining this in detail:A uniform random variable is a random variable with a probability distribution function that is uniform across all possible values.

The probability density function of a uniform distribution is constant over the range of values of the variable. Therefore, it has equal probability of taking any value within the range of values that it is defined.The process of converting a computer-generated random variable into a uniform random variable is known as uniform random number generation. The process of uniform random number generation is an important aspect of computer simulation and statistical analysis of data.

It is used to generate random numbers that follow a uniform distribution, which is a common distribution in many applications.The range of the distribution is the parameter that is required to convert a computer-generated random variable into a uniform random variable. This is because the range of the distribution defines the possible values that the variable can take. By mapping the computer-generated random variable to the range of the uniform distribution, we can convert it into a uniform random variable.

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Paul is purchasing tickets to a play. The total cost, C, of purchasing n tickets can be found using the equation C = 12.25n + 3.75. Which statements are true?


(A) Each ticket costs $3.75.


(B) Each ticket costs $12.25.


(C) The one-time processing fee costs $3.75.


(D) The one-time processing fee costs $12.25.

Answers

The true statements are:

Each ticket costs $12.25. (option b)

The one-time processing fee costs $3.75. (option c)

What are the true statements?

A linear equation is an equation with a single variable raised to the power of one.

y = mx + c

m = variable cost

c = fixed cost

Fixed cost is a cost that remains constant regardless of the number of tickets bought. Variable cost is a cost that changes with the number of tickets bought.

C = 12.25n + 3.75

Where:

12.25 - variable cost - cost of each ticket. This cost increases with the number of tickets that is purchased. As more tickets are purchased, the cost increases by 12.25.

3.75 - fixed cost - one time online processing fee. This is because this payment is made once and it does not increase with the number of tickets bought.

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Solve for x. Round to the nearest tenth.​

Solve for x. Round to the nearest tenth.

Answers

Using trigonometric function the value of x is 51.3°.

What is trigonometric function?

The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.

Here Let us take the given right triangle as ABC.

∠A = x , ∠B = 90° and AB = 25 , AC= 40

Now using Cosine ratio then

Cos  A = \(\frac{adjacent}{hypotenuse}\)

=> cos x = \(\frac{25}{40}\)

=> cos x = \(\frac{5}{8}\)

=> x = \(cos^{-1}\frac{5}{8}\)

=> x = 51.3°

Hence the value of x is 51.3°.

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Then Isabella filled 3 more pages with 36 photos which
she evenly divided between the pages. Is the number of
photos on one of these pages more or less than the
number on one page in the example problem? Explain.​

Answers

Answer: Isabella has 4 more photos than the other photo albums. So, Isabella has more pages than the number on one page in the example problem.

Step-by-step explanation: 3 divided by 36 equals 12. 12 times 3 = 36

The number of photos on one of these pages is more than the number on one page in the example problem because Isabella's photo album contains 4 more photos.

What are Arithmetic operations?

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have been given that Isabella filled 3 more pages with 36 photos which she evenly divided between the pages.

As per the given condition,

36 divided by 3

⇒ 36 / 3 = 12

Here 12 times 3 is equal to 36

Therefore, Isabella's photo album contains 4 more photos. The number of pages in Isabella is greater than the number on one page in the example problem.

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If a researcher is interested determining if there is a relationship between ethnicity and job type, then a Chi- Square Goodness of Fit test can be used. false true

Answers

It is FALSE to state that if a researcher is interested determining if there is a relationship betweenethnicity and job type, then a Chi- Square Goodness of Fit test can be   used.

How is this so?

A Chi-Square Goodness of Fit test is not   appropriate for determining the relationship between ethnicity and job type.

This test is used to assess thedistribution of categorical variables within a single population or sample,   comparing observed frequencies with expected frequencies.

To examine the relationship between ethnicity and job type, a Chi-Square test of independence   or another suitable statistical test, such as logistic regression,would be more appropriate.

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Construct finite-state machines that act as recognizers for the input described by producing an output of 1 exactly when the input received to that point matches the description. (The input and output alphabet in each case is 0, 13.) (a) The set of all strings where the number of Os is a multiple of 3 (b) The set of all strings containing at least four 1s (c) The set of all strings containing exactly one 1 (d) The set of all strings beginning with 000 (e) The set of all strings where the second input is 0 and the fourth input is 1 (f) The set of all strings consisting entirely of any number (including none) of 01 pairs or consisting entirely of two Is followed by any number (including none) of Os (g) The set of all strings ending in 110 h) The set of all strings containing

Answers

Finite-state machines for given inputs: (a) 0s multiple of 3: 3-state machine. (b) At least four 1s: 4-state machine. (c) Exactly one 1: 2-state machine. (d) Begins with 000: 3-state machine. (e) Second is 0, fourth is 1: 4-state machine. (f) 01 pairs or 2 1s + 0s: 3-state machine. (g) Ends in 110: 3-state machine.

To construct finite-state machines that act as recognizers for the given inputs, we can follow these guidelines:

(a) For the set of all strings where the number of 0s is a multiple of 3, we can use a finite-state machine with three states. Start with the initial state, and transition to the next state whenever a 0 is encountered. After three transitions, go back to the initial state. If the machine ends in the accepting state, output 1.
(b) For the set of all strings containing at least four 1s, we can use a finite-state machine with four states. Start with the initial state, and transition to the next state whenever a 1 is encountered. If the machine enters the final state after four transitions, output 1.

(c) For the set of all strings containing exactly one 1, we can use a finite-state machine with two states. Start with the initial state and transition to the final state when the first 1 is encountered. Output 1 only if the final state is reached.

(d) For the set of all strings beginning with 000, we can use a finite-state machine with three states. Start with the initial state and transition to the next state whenever a 0 is encountered. If the machine reaches the final state after three transitions, output 1.

(e) For the set of all strings where the second input is 0 and the fourth input is 1, we can use a finite-state machine with four states. Start with the initial state and transition to the next state based on the inputs. Output 1 only if the machine reaches the final state.

(f) For the set of all strings consisting entirely of any number (including none) of 01 pairs or consisting entirely of two 1s followed by any number (including none) of 0s, we can use a finite-state machine with three states. Start with the initial state and transition based on the inputs. Output 1 only if the final state is reached.

(g) For the set of all strings ending in 110, we can use a finite-state machine with three states. Start with the initial state and transition based on the inputs. Output 1 only if the final state is reached.

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Finite-state machines (FSMs) can be constructed to act as recognizers for specific patterns in input strings. These are examples of how to construct FSMs as recognizers for different patterns in input strings. Each FSM is designed to produce an output of 1 when the input received matches the description provided.

Let's consider the given cases and construct FSMs for each one.

(a) The set of all strings where the number of Os is a multiple of 3:
To construct an FSM for this, we can keep track of the number of Os encountered so far. Initially, set the count to zero. When an O is encountered, increment the count by one. If the count becomes a multiple of 3, the FSM outputs 1; otherwise, it outputs 0. Reset the count to zero whenever a 1 is encountered.

(b) The set of all strings containing at least four 1s:
To create an FSM for this, we can keep track of the number of 1s encountered so far. Initially, set the count to zero. When a 1 is encountered, increment the count by one. If the count becomes equal to or greater than four, the FSM outputs 1; otherwise, it outputs 0.

(c) The set of all strings containing exactly one 1:
To build an FSM for this, we can have two states: a "no 1 encountered" state and a "1 encountered" state. Initially, start in the "no 1 encountered" state. Whenever a 1 is encountered, transition to the "1 encountered" state. If another 1 is encountered in the "1 encountered" state, transition to a third "more than one 1 encountered" state. In this case, the FSM outputs 0. Otherwise, if no additional 1s are encountered, the FSM outputs 1.

(d) The set of all strings beginning with 000:
To create an FSM for this, start in an initial state. When a 0 is encountered, transition to a second state. If two consecutive 0s are encountered in the second state, transition to a third state. Finally, if a third 0 is encountered in the third state, the FSM outputs 1; otherwise, it outputs 0.

(e) The set of all strings where the second input is 0 and the fourth input is 1:
To construct an FSM for this, start in an initial state. When the first input is read, transition to a second state. In the second state, transition to a third state if the second input is 0. In the third state, transition to a fourth state if the third input is not 0. Finally, in the fourth state, if the fourth input is 1, the FSM outputs 1; otherwise, it outputs 0.

(f) The set of all strings consisting entirely of any number (including none) of 01 pairs or consisting entirely of two Is followed by any number (including none) of Os:
To create an FSM for this, we can have multiple states to represent different scenarios. We start in an initial state and transition to a second state when a 0 is encountered. In the second state, transition back to the initial state if a 1 is encountered. If a 1 is encountered in the initial state, transition to a third state. In the third state, transition to a fourth state if an O is encountered. Finally, if an O is encountered in the fourth state, the FSM outputs 1; otherwise, it outputs 0.

(g) The set of all strings ending in 110:
To construct an FSM for this, start in an initial state. Transition to a second state if a 1 is encountered. In the second state, transition to a third state if a 1 is encountered again. Finally, if a 0 is encountered in the third state, the FSM outputs 1; otherwise, it outputs 0.

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Find the Square of 9x – 7xy

Answers

Answer:

\(\huge \boxed{49x^2 y^2 -126x^2 y +81x^2}\)

Step-by-step explanation:

\(\sf (9x - 7xy)^2\)

Expanding brackets.

\(\sf (9x - 7xy)(9x-7xy)\)

Applying the FOIL method.

\(\sf 9x(9x-7xy)-7xy(9x-7xy)\)

\(\sf 81x^2 -63x^2 y -63x^2 y+49x^2 y^2\)

Combining like terms.

\(\sf 81x^2 -126x^2 y+49x^2 y^2\)

WILL GIVE BRAINLIEST, THANKS, AND 5 STARS! PLEASE HELP EXPLAIN TO ME IN WORDS!

QUESTION IN SCREENSHOT!

Also: hows your day going, how are you feeling?

WILL GIVE BRAINLIEST, THANKS, AND 5 STARS! PLEASE HELP EXPLAIN TO ME IN WORDS!QUESTION IN SCREENSHOT!Also:

Answers

Answer:

So, we can check step by step.

2x^2-7x+5=0

So, 2x^2-2x-5x+5=0 is correct

2x(x-1)=2x^2-2x, 5(x-1)=-5x + 5= 0, that step is correct

(I'll skip the next step)

2x-5=0,

2x=5

x=5/2, NOT 2/5

The other one is correct

Sorry if this seems a bit vague!

\(\\ \rm\Rrightarrow 2x^2-7x+5=0\)

Split the middle term

\(\\ \rm\Rrightarrow 2x^2-2x-5x+5=0\)

Take common

\(\\ \rm\Rrightarrow 2x(x-1)-5(x-1)=0\)

Factor up

\(\\ \rm\Rrightarrow (2x-5)(x-1)=0\)

Find x

\(\\ \rm\Rrightarrow x=5/2,1\)

Lauren written 2/5 instead of 5/2

Let's verify once more

2x-5=02x=5x=5/2

Write the system of equations as a matrix equation AX=B, with A as the coefficient matrix of the system.

Please help!

Write the system of equations as a matrix equation AX=B, with A as the coefficient matrix of the system.

Answers

Answer:

\(\left[\begin{array}{ccc}1&2\\6&7\end{array}\right]\cdot \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}0\\-10\end{array}\right]\)

Step-by-step explanation:

The system of equation in matrix form is defined by following vector formula:

\(\vec A \cdot \vec x = \vec b\) (1)

Where:

\(\vec A\) - Matrix of coefficients.

\(\vec x\) - Column vector of variables.

\(\vec b\) - Column vector of results.

If we know that \(x + 2\cdot y = 0\) and \(6\cdot x + 7\cdot y = -10\), then the system of equations in matrix form is:

\(\vec A = \left[\begin{array}{ccc}1&2\\6&7\end{array}\right]\), \(\vec x = \left[\begin{array}{ccc}x\\y\end{array}\right]\), \(\vec b = \left[\begin{array}{ccc}0\\-10\end{array}\right]\)

Then,

\(\left[\begin{array}{ccc}1&2\\6&7\end{array}\right]\cdot \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}0\\-10\end{array}\right]\)

Can anyone help me please I really need help.

Answers

Answer:

what do u need help with

Step-by-step explanation:

i don’t understand this could you help me out

i dont understand this could you help me out

Answers

Answer:

B: -2 3/4 < -1 1/2

Hope this helps!

If you can give brainly ill apreciate it

Answer:

B or C

Step-by-step explanation:

negatives are bigger but Still smaller if u get what I mean

bro help pls...


Which value of x is a solution to this equation?

2x2+7x−30
Question 2 options:

5


2.5


-3


-2.5

Answers

Answer:

x = 2.5

Step-by-step explanation:

2x² + 7x – 30 = 0

(2x – 5) (x + 6) = 0

2x – 5 = 0 or x + 6 = 0

2x = 5 or x = –6

x = 5/2 or x = –6

x = 2.5 or x = –6

This is similar to Try It #1 in the OpenStax text. Given that h−1 (11) = 4, what are the corresponding input and output values of the original function h? h =

Answers

Given that h^(-1)(11) = 4, the corresponding input and output values of the original function h are x = 4 and h(4) = 11.

The notation h^(-1)(11) represents the inverse of the function h evaluated at the input value 11. In other words, it gives us the input value that would produce an output of 11 when fed into the inverse function.

Since h^(-1)(11) = 4, we know that when 11 is inputted into the inverse function h^(-1), it yields an output of 4.

To find the corresponding input and output values for the original function h, we need to swap the input and output values of the inverse function. Thus, the input value for the function h is x = 4, and the output value is h(4) = 11.

Therefore, when 4 is inputted into the original function h, it produces an output of 11.

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Which of the following are possible measures of the interior angles of a regular polygon? If possible, how many sides does the polygon have: 90°, 100°, 110° 125°,
150°, 175°.

Answers

Step-by-step explanation:

180(n-2)/n=90 ( this is the solution for the 90)

cross multiplying

180n-360=90n

180n-90n=360

90n=360

90n/90=360/90

n=4, the number of sides for the polygon with 90° is 4 sides

Solution for 100°

180(n-2)/n=100

180n-360=100n

180n-100n=360

80n=360

80n/80=360/80

n=4.5

Same applies to the rest 110°,125° ,150°,175°

Let T be a tree with n vertices, n ≥ 2. For a positive integer i, let pi be the number of vertices of T
of degree i.
(a) Prove that
p1 − p3 − 2p4 − · · · − (n − 3)pn−1 = 2.

Answers

The Proof for p₁ − 2p₃ − · · · − (n − 3)pₙ₋₁ = 2 is shown below .

In the question ,

it is given that ,

the the number of vertices of Tree T is \(p_{i}\) ,

we have to prove that p₁ − p₃ − 2p₄ − · · · − (n − 3)pₙ₋₁ = 2 ,

First note that \(p_{i}\) = 0 for i ≥ n (a vertex can have degree at most n − 1, which happens for the

star K₁ , ₙ₋₁).

Using the data that tree T has n vertices and (n − 1) edges, we have

p₁ + p₂ + p₃ + · · · + pₙ₋₁ = n               ....equation(1)

and

p₁ + 2p₂ + 3p₃ + · · · + (n − 1)pₙ₋₁ = 2(n − 1)      ......equation(2)

Subtracting the equation(2) from twice the equation(1) , we obtain

p₁ − 2p₃ − · · · − (n − 3)pₙ₋₁ = 2.

(When n = 2 we have p₁ = 2.)

Therefore , it is proved that p₁ − 2p₃ − · · · − (n − 3)pₙ₋₁ = 2    .

The given question is incomplete , the complete question is

Let T be a tree with n vertices, n ≥ 2. For a positive integer i, let pi be the number of vertices of T of degree i .  Prove that

p₁ − 2p₃ − · · · − (n − 3)pₙ₋₁ = 2.

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M is the midpoint of CF for the points C(4, 10) and F(10, 10). Find MF.

Answers

The length of the segment MF will be 6 units.

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that M is the midpoint of CF for the points c(4,10) and f(10,10). To calculate the segment MF first let us calculate the midpoint M.

M = [ ( x₁ + x₂ ) / 2, ( y₁ + y₂ ) / 2 ]

M = [( 4 + 10 ) /2 , ( 10+10 ) / 2]

M = ( 7, 10)

The length of the segment MF will be:-

D = √ [ ( y₂ - y₁ )² + ( x₂ - x₁ )² ]

D = √ [ ( 10-10 )² + ( 10 - 4 )² ]

D = √36

D = 6

Therefore, the length of the segment MF will be 6 units.

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-10
ious Activity
Type har
-5
10+y
O
-10
-20
5
Select the quadratic inequality that represen
graph.
Ov²(x+3)²-24
vs-(x-3)²+24
v2 - (x-3)2+24
Oys (x+3)²-24
O

-10ious ActivityType har-510+yO-10-205Select the quadratic inequality that represengraph.Ov(x+3)-24vs-(x-3)+24v2

Answers

The quadratic inequality defined on the graph is given as follows:

y ≥ 2/3(x + 3)² - 24.

How to define the quadratic inequality?

The coordinates of the vertex of the quadratic function are given as follows:

(-3, -24).

Hence the quadratic function is given as follows:

y = a(x + 3)² - 24.

In which a is the leading coefficient.

When x = 3, y = 0, hence the leading coefficient a is obtained as follows:

0 = a(3 + 3)² - 24

36a = 24

a = 24/36

a = 2/3.

Hence:

y = 2/3(x + 3)² - 24.

The quadratic function has a solid curve, and the values above it are pained, hence the inequality is given as follows:

y ≥ 2/3(x + 3)² - 24.

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Kyle saves $10 the first week of the year, $20
the second week, $40 the third week, and so o.
He continues to double his savings each week.
Find the amount that he will save on the 15th
week.
B)How much will Kyle have in his savings after
15 weeks?

Answers

Kyle will save $3840 on the 15th week. He will have a total of $7936 in his savings after 15 weeks.

Classifiy the triangle by using its side lengths

Answers

Answer: Where is the triangle?

Step-by-step explanation: Brainliest pls:)

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A washer and a dryer cost $995 combined. The washer cost $45 more than the dryer. What is the cost of the dryer?​

Answers

When a washer and a dryer cost $995 combined. If  the washer cost $45 more than the dryer, then the cost of the dryer is $475

The combined cost of a washer and a dryer = $995

Consider the cost of a dryer as x

The washer cost $45 more than the dryer.

The cost of the washer = x+45

Then the equation will be

x+x+45 = 995

2x+45 = 995

2x = 950

x = 950/2

x = 475

The cost of the dryer is $475

Hence, when a washer and a dryer cost $995 combined. If  the washer cost $45 more than the dryer, then the cost of the dryer is $475

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how do i remember how to solve for probablity

Answers

Answer:

by search in Goggle and by re-read

2.8x + 10 + 5.7x = 70+x

Answers

Answer:

Step-by-step explanation      a=0.32

The required simplified value of x in the given expression is 8.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
2.8x + 10 + 5.7x = 70+x

Simplifying,
8.5x + 10 = 70 + x
8.5x - x = 70 - 10
7.5x  = 60
x = 60 / 7.5
x = 8

Thus, the required simplified value of x in the given expression is 8.

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18 students are going on a field trip the bus can fit 14 so four of them will have to ride in a car and how many ways can we choose the four students who must ride in the car

Answers

Answer:

Number of ways we can choose the four students who must ride in the car = 3060 ways

Step-by-step explanation:

This is a combination question.

The number of selections of "r" objects from the given "n" objects is denoted by;

C(n,r), and is given by;

C(n, r) = n!/[r!(n - r)!]

In this question, n = 18 and r = 4

Thus;

C(18, 4) = 18!/[4!(18 - 4)!]

C(18,4) = 3060

Number of ways we can choose the four students who must ride in the car = 3060 ways

please help me find the variable

please help me find the variable

Answers

Answer: x is the variable

Step-by-step explanation:

Anytime you see a letter in an expression it is a variable. Remember this, this is incredibly important. Good luck!

ABCD is a rhombus. Explain why Triangle A B C is congruent to triangle C D A

ABCD is a rhombus. Explain why Triangle A B C is congruent to triangle C D A

Answers

The required, Triangle ABC ≅ triangle CDA formed in rhombus ABCD by SAS congruency postulate.

What is congruent geometry?

In congruent geometry, the shapes that are so identical. can be superimposed to themselves.

Here,
Consider the ABCD rhombus, the sides of a rhombus are equal,
Now, Consider Triangle ABC and triangle CDA,
1. AC = AC [because AC is the common side between the two triangles]
2. ∠D = ∠C  [because opposite angles of a rhombus is equal]
3. AD = BC   [equal sides of rhombus]

So, Triangle ABC ≅ triangle CDA, by SAS congruency postulate.

Thus, Triangle ABC ≅ triangle CDA formed in rhombus ABCD by SAS congruency postulate.

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6.) Below is Jan's Venn diagram she created after sorting the shapes from her
Shape bucket. Based on this Venn diagram, how did Jan sort her shapes? What
are the labels for the circles? Justify your answer using complete sentences.
a.
b.

Answers

Answer:I believe this answer is they did not have enough troops to attack the USSR

Step-by-step explanation:

I

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The function's only behavior should be to return the sum of array userVals' elements. What common error does the function make I need the answer this is pre cal rb is a tumor suppressor protein that acts by inhibiting phosphorylation of cdk. In some rare cases, the pantry chef is often expected to produce elaborate edible displays or even create icecarvings to accompany their dishes.OTrueOFalsek your supervisor has asked you to configure a new prototype network with a dual stack configuration. what does this mean? insertion of additional repeats in repetitive segments of dna often is a result of what? translation errors replication slippage chromosome rearrangements transformation transcription slippage If "The Lamb" speaks to the creation of innocence, and "The Tyger" speaks to the creation ofevil, what do you think Victor Frankenstein intended to create? Do you think his intentions wererealized? Pls help answer thus The double number line shows that Kimimela fed her rabbits 350350350 days this year. Her foster brother fed them the other days.A double number line with 2 tick marks. The line labeled Time, days, reads from left to right: 0, 350. The line labeled Percentage, reads from left to right: 0 percent, 100 percent.A double number line with 2 tick marks. The line labeled Time, days, reads from left to right: 0, 350. The line labeled Percentage, reads from left to right: 0 percent, 100 percent.Complete the table to show different percentages of the days that Kimimela fed her rabbits.Time (days) Percentage100%100%100, percent of 350350350 days20%20%20, percent of 350350350 days80%80%80, percent of 350350350 daysStuck?Review related articles/videos or use a hint. which explaination best describles how the rate of photosynthesis can affect the biodiversity of an area In 1848, Phineas Gage, a railroad construction foreman, survived when an explosion drove an iron rod through his head. The once friendly, soft-spoken Gage became irritable and dishonest. Gage's case provided evidence that which region of the brain plays a role in personality and behavior What is the function of steroids? Choose the best answer.A)They are only cell membrane stabilizers.B)They have many functions, including being an energy source.C)They only regulate the immune system.D)They have many functions, including endocrine signals.pls quickly I had to make another account so katie wouldn't ban me Which operation should be completed first to find the value of the expression below ocal subnetwork that contains and exposes the office's external services to a larger, untrusted network, specifically the Internet. What is this called By age 6, most children have a working vocabulary of _____ words, and can understand more than ______ words. The great law of peace and the us constitution both determined that laws should be made by While out hiking in the woods, Ian sees several wild grapevines wrapped around some tree trunks and branches. He notices the broad leaves and curling, forking tendrils of the vines that loop around the tree branches. This makes him think about the factors that influence the way things grow. Which factors contribute to the way organisms grow and develop?a. genetics.b. size.c. response to stimuli.d. structures.e. access to resources. calculate the empirical formula for a compound that contains 40.0% carbon, 6.70% hydrogen, and 53.3% oxygen A 2.7-kg ball is thrown upward with an initial speed of 20.0 m/s from the edge of a 45.0 m high cliff. At the instant the ball is thrown, a woman starts running away from the base of the cliff with a constant speed of 6.00 m/s. The woman runs in a straight line on level ground, and air resistance acting on the ball can be ignored.Part AAt what angle above the horizontal should the ball be thrown so that the runner will catch it just before it hits the ground? = 72.5 SubmitMy AnswersGive UpCorrectPart BHow far does the woman run before she catches the ball?x =201.5mSubmitMy AnswersGive UpIncorrect; Try Again; 3 attempts remaining Up until the 1950s, the standard aspect ratio of most 35mm Hollywood films was _____, which is known as the Academy ratio.