which does not represent an equivalent expression to 8x +4

a) 4(2x+1)
b) 1/2 (16×+8)
c) 2 (4x+2)
d) 2x (4x+2)​

The force of the rock as it hits the river is 17.15 N.To find the force of the rock as it hits the river, we need to use the formula F=ma (force equals mass times acceleration).

For the first part of the question, when Camille throws the rock at the tree with an acceleration of 2.45 m/s2, we can plug in the given values to get:

F = (1.75 kg) x (2.45 m/s2)
F = 4.29 N

So the force of the rock as it hits the tree is 4.29 N.

For the second part of the question, when Camille drops the rock from the bridge with an acceleration 4 times greater than her throw, we can calculate the acceleration by multiplying 2.45 m/s2 by 4, which gives us 9.8 m/s2 (the acceleration due to gravity).

Then, using the same formula, we can find the force when the rock hits the river:

F = (1.75 kg) x (9.8 m/s2)
F = 17.15 N

So the force of the rock as it hits the river is 17.15 N.

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Answer:576

Step-by-step explanation:

24x24=576

EXPLANATION:

To know when a fraction is greater than another, the following procedure must be done, they must be multiplied by a cross and the result in whole number will determine which of the two is greater.

7.You must first cross multiply the denominator of the first fraction with the number of the second fraction, then multiply the denominator of the second fraction with the numerator of the first fraction,So you will have the exact answer of which is the greatest.

8.Every negative number that moves away from zero is always less than zero.

9.To compare or know which is greater if a decimal or a fraction we must divide the fraction between itself and this will give me a decimal, now if I can compare;

that is, 2.8 is greater than the fraction 5/2

The algebric expression -1/4 + 3/5 is equal to 7/20 when simplified.

To solve the expression -1/4 + 3/5, we need to find a common denominator for the fractions and then perform the addition.

The common denominator for 4 and 5 is 20. We can rewrite the fractions with this denominator:

-1/4 = -5/20

3/5 = 12/20

Now that the fractions have the same denominator, we can add them:

-5/20 + 12/20 = (-5 + 12)/20 = 7/20

Therefore, -1/4 + 3/5 is equal to 7/20.

To further simplify the fraction, we can check if there is a common factor between the numerator and denominator. In this case, 7 and 20 have no common factors other than 1, so the fraction is already in its simplest form.

Thus, the final answer is 7/20.

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Answer: Translation up 5 units means g(x)=f(x)+5g(x)=f(x)+5. Reflecting this across the x-axis means g(x)=-(f(x)+5)g(x)=−(f(x)+5).

-(4x+5)=-4x-5

−(4x+5)=−4x−5

Step-by-step explanation:

Answer:

g(x) = -|x + 12|

Step-by-step explanation:

Translation to left ≡ f(x + 12)

f(x + 12) = | x + 12 |

Reflection of a function f(x) about the x - axis is keeping the x value same but negating the y values

Reflected f'(x) = -y = -f(x)

Taken together

g(x) = -(|x + 12|)

Answer:

total length = 19 units

Step-by-step explanation:

Notice that the distance between the extremes of the first segment of the trail, is a horizontal segment of 9 units length.

The second segment from (3,3) to (3, -4) is  vertical one of length 3 - -4 = 7 units.

The third segment of the trail  from (3, -4) to (6, -4) is another vertical segment of length 6=3 = 3 units.

Therefore,the total length of the trail is 9 + 7 + 3 = 19 units

Answer:

im study about history it was my favourite subject!

Answer:

8/9

Step-by-step explanation:

1/2= 0.5

2/5= 0.4

8/9= 0.8

1/3= 0.3

Answer:

8/9, hope this helps

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

consider the coordinates of points C and A

C (4, - 1 ) and A (- 3, 2 )

4 → - 3 in the x- direction is - 7

- 1 → 2 in the y- direction is + 3

then the translation rule is

(x, y ) → (x - 7, y + 3 )

Answer:

always true

Step-by-step explanation:

because it's same side inter angles

Answer:

2 2/5

Step-by-step explanation:

\( \frac{4}{1} \times \frac{3}{5} = \frac{12}{5} \)

\( \frac{12}{5} = 2 \frac{2}{5} \)

Answer:

6

Step-by-step explanation:

Search it up.

For 24 Tea bags 6  quarts of iced tea that can be made.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

We have the Table,

With 8 tea bags, 2 Quartz of Iced Tea made.

As, there is proportionality between two values.

So, 16 / 4= 24 / x

4 = 24 / x

x = 24/4

x= 6

Hence, For 24 Tea bags 6  quarts of iced tea that can be made.

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The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

You can use the vertical line test on a graph to determine whether a relation is a function. If it is impossible to draw a vertical line that intersects the graph more than once, then each x-value is paired with exactly one y-value. So, the relation is a function.

Given, the function is f(x) = x² + 2x + 3

We have to find the graph of the function.

Let y = x² + 2x + 3

Put x = -3

y = (-3)² + 2(-3) + 3

= 9 - 6 + 3

= 9 - 3

y = 6

Put x = -2

y = (-2)² + 2(-2) + 3

= 4 - 4 + 3

y = 3

Put x = -1

y = (-1)² + 2(-1) + 3

= 1 - 2 + 3

= 4 - 2

y = 2

Put x = 0

y = (0)² + 2(0) + 3

= 0 + 0 + 3

y = 3

Put x = 1

y = (1)² + 2(1) + 3

= 1 + 2 + 3

= 3 + 3

y = 6

We can plot the graph using the points.

The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).

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Answer:

2x+5

Step-by-step explanation:

The answer is in the question.

2 and x is 2x and plus 5 is +5.

Answer:

2x+5

Step-by-step explanation:

the product 2 of x is 2x plus 5

2x+5

The six terms of the series 247 are 2, 2, 2, 2, 2, and 2.

To find the six terms of a series, we need to first understand what a series is. A series is defined as the sum of the terms of a sequence. A sequence is a set of numbers in a specific order.

Therefore, a series is a sum of terms from a sequence. There are different types of series, and they have different formulas for calculating their terms.In this case, we are required to find the six terms of the series 247. Since this is a finite series, we can use a formula to calculate the nth term of a finite series.

The formula is given as follows:Tn = a + (n - 1) dWhere Tn is the nth term of the series, a is the first term of the series, n is the number of terms in the series, and d is the common difference between the terms of the series.To find the six terms of the series 247, we need to know the value of a and d. In this case, we can see that the first term of the series is 2. Therefore, a = 2.

Since this is a constant series, we can see that the common difference between the terms is 0. Therefore, d = 0.Substituting these values in the formula, we get:T1 = a + (1 - 1) dT1 = 2 + 0T1 = 2T2 = a + (2 - 1) dT2 = 2 + 0T2 = 2T3 = a + (3 - 1) dT3 = 2 + 0T3 = 2T4 = a + (4 - 1) dT4 = 2 + 0T4 = 2T5 = a + (5 - 1) dT5 = 2 + 0T5 = 2T6 = a + (6 - 1) dT6 = 2 + 0T6 = 2.

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The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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There are 50 predicted rolls for 5 in 300 times of rolls.

A probability is a number that reflects the chance or likelihood that a particular event will occur.

Given that, Janet rolls a 6-sided number cube 300 times,

Probability = (Favourable Outcomes)/(Possible Outcomes)

Favourable Outcomes: 5 (1 total)

Possible Outcomes: 1,2,3,4,5,6 (6 total)

Probability of a 5 in any given roll of a die = 1/6

1/6x300 = 50 = 50 predicted roll with 5.

Hence, There are 50 predicted rolls for 5 in 300 times of rolls.

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The sum of the decimal values given is 0.93

Simplifying the decimal values can be done thus :

Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .

0.36*100 = 36

0.57*100 = 57

Adding the whole numbers :

__36

+_57

_____

__93

Dividing the sum by 100 to convert to an equivalent decimal value,

Therefore, the required value is 0.93

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The estimated number of commuters who will be using the subway 10 months from now is 106969.  

To solve this problem, we need to use the given information to find an expression for the total number of commuters who will be using the subway t months from now, and then use that expression to find the number of commuters who will be using the subway 10 months from now.

We are told that the rate of increase in the number of commuters using the subway is given by:

dC/dt = 4000/(1+0.050t)

To find the total number of commuters using the subway t months from now, we can integrate this expression with respect to t:

C(t) = ∫[4000/(1+0.050t)]dt

Using u-substitution with u = 1 + 0.050t, we can simplify this expression:

C(t) = (80000/0.05) ln(1+0.050t) + C

where C is the constant of integration.

We are also given that there are currently 120,000 commuters using the system, so we can use this information to find the value of C:

C(0) = (80000/0.05) ln(1+0.050(0)) + C = 120000

Solving for C, we get:

C = 120000 - (80000/0.05) ln(1+0.050(0)) = 80000

Therefore, the expression for the total number of commuters using the

subway t months from now is:

C(t) = (80000/0.05) ln(1+0.050t) + 80000

To find the number of commuters who will be using the subway 10 months from now, we can substitute t = 10 into this expression:

C(10) = (80000/0.05) ln(1+0.050(10)) + 80000

C(10) = (80000/0.05) ln(1.5) + 80000

C(10) = 106969.4

Rounding to the nearest integer, we get:

C(10) = 106969

Therefore, the estimated number of commuters who will be using the subway 10 months from now is 106969.

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Answer:

=  -2w + 22

Step-by-step explanation:

  -3(2w - 6) + 4(w+1)

= (-3*2w -3*-6) + (4*w + 4*1)

=  -6w + 18 + 4w + 4

= -6w + 4w + 18 + 4

= -2w + 22

Answer:  B. 13.75

First write out the equation you need to solve

1x - 0.25y = total score

Second fill in the known information

1(15) - 0.25(5) = total score

Now solve your equation

15 - 1.25 = total score

13.75 = total score

Her score for the game will be 13.75. Then the correct option is B.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Jamie plays a trivia game.

She earns 1 point for each correct (W) answer and loses 0.25 points for each incorrect (L) answer.

Then the total points is given as

Total point = W – 0.25L

She gets 15 correct answers and 5 incorrect answers.

Then her score for the game will be

Total point = 15 – 0.25 x 5

Total point = 13.75

Then the correct option is B.

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Answer:

2

Step-by-step explanation:

These two are similar triangles. 3 corresponds to 9, and x corresponds to 6. Since 3 is being multiplied by 3 to get 9, x*3 should equal 6. Therefore, x is 2.

Answer:

A

Step-by-step explanation:

Inflation decreases the amount of goods and services that can be purchased with a dollar.

The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .

An inverse function or an anti function, which can reverse into another function.In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by 'f' or 'F', then the inverse function is denoted by f-1 or F-1.

now the given functions are,

f(x) = √(2x + 2) and

g(x) = (x^2 -2)/2

Now,

f{g(x)} = f{(x^2 -2)/2}

         = √(2(x^2 -2)/2 + 2)

         = √ x^2 -2 + 2

f{g(x)} = √ x^2

f{g(x)} =  x

Now,

g{f(x)} = g{ √(2x + 2)}

         = (√(2x + 2)^2 -2)/2

         = (2x + 2) -2 /2

         = 2x/2

f{g(x)} = x

Here we see that ,

f{g(x)} = g{f(x)}

Hence f and g are not inverses.

∴The true statement about the function is C. function f and function g are not inverse because f{g(x)} = g{f(x)} .

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Hi, there!

 ______

\(\begin{tabular}{c|1} \boldsymbol{Things \ to \ Consider} \\\cline{1-3} \end{tabular}\)

(1)

 - The slopes of parallel lines are identical.

{The line \(\sf{y=7x-1}\) has a slope of 7}

Thus,

{The slope of the line that is parallel to the aforementioned line (whatever its equation happens to be) is \(\sf{7}\).}

(2)

 - The slopes of perpendicular lines are negative inverses of each other.

The negative inverse of 7 is

\(-\dfrac{1}{7}\).

Therefore,

\(\textsc{Answers:\begin{cases} \bf{7} \\ \bf{-\dfrac{1}{7}} \end{cases}}\)

Hope the answer - and explanation - made sense,

happy studying!!                                                                 \(\tiny\boldsymbol{Frozen \ melody}\)

The probabilities, we need to understand the context. Assuming we are working with a fair six-sided die, where each face has an equal chance of landing, here are the probabilities:

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Answer:2

Step-by-step explanation:

Answer:

a = 20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

8a - 15 - 6a + 3a = 85

Step 2: Solve for a