a cyclist bikes a certain distance in 25 minutes. write an equation that shows the relationship between speed, s and time, t, when the distance is 50 miles

Answer:

the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

Step-by-step explanation:

To solve this equation for "a", you need to simplify and rearrange the terms so that all the "a" terms are on one side of the equation and all the constant terms are on the other side. Here are the steps:

Start by combining the "a" terms on the left side of the equation: -2a - 6a = -8a. The equation now becomes: -8a - 9 = -9 - 6a - 2a.

Combine the constant terms on the right side of the equation: -9 - 2a - 6a = -9 - 8a. The equation now becomes: -8a - 9 = -9 - 8a.

Notice that the "a" terms cancel out on both sides of the equation. This means that the equation is true for any value of "a". Therefore, the solution is all real numbers, or in interval notation: (-∞, +∞).

In summary, the solution to the equation -2a - 6a - 9 = -9 - 6a - 2a is all real numbers, or (-∞, +∞).

If you are trying to factor it is 14(3a+b).

But if you are looking for the greatest common factor it is 14.

The GCF of  42a + 14b is 14 which is 14(3a + b).

GCF stands for the greatest common factor of two or more two given terms. A number is GCF of two or more than two terms is the highest term that divides the given terms completely.

Given,  42a + 14b and we have to factor this with a GCF.

In terms of variables a and b, there is no common factor.

In terms of 14 and 42 GCF is 14 as 14 is the highest no. that divides these two nos. completely.

So, 42a + 14b.

= 14(3a + b).

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An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.

An example of a one-to-one function that is an isomorphism between sets P and Q is the function f: P -> Q defined as f(x) = 2x, where P and Q are the sets of integers.

This function is one-to-one because for every element x in P, there is a unique element 2x in Q. It is onto because every element y in Q has a preimage x in P such that f(x) = y (e.g., y/2 = x).

Furthermore, this function preserves the group structure between P and Q, as it satisfies the properties of an isomorphism. In this case, the group structure is addition, and the function f preserves addition: f(x + y) = 2(x + y) = 2x + 2y = f(x) + f(y) for all x, y in P.

Therefore, the function f: P -> Q defined as f(x) = 2x is an example of a one-to-one function that is an isomorphism between sets P and Q.

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Answer:

it is also the main set it is the real answer

Answer:

Always. Always.

Step-by-step explanation:

All circles conform to the same equations such as using pie to calculate circumference. Unlike a rectangle, for example, all ratios used in a circle are the same.

Answer:

  A. rectangle

  B. any of triangle, quadrilateral, pentagon, hexagon

Step-by-step explanation:

A. A plane perpendicular to the base will intersect 2 adjacent or 2 opposite lateral faces, as well as the two bases. Each plane intersected will result in an edge of the cross sectional figure. The figure will have two pairs of parallel edges, so is a rectangle.

__

B. If the intersecting plane is not constrained to be perpendicular to the base(s), it can intersect 3, 4, 5, or all 6 faces of the prism. Hence, the shape of the cross section can be any of ...

The measure οf the equal sides οf the triangle is 8√3 cm and the perimeter οf the triangle is apprοximately 49.9 cm.

The current carried by the third resistοr is 2.4A is the tοtal current is 8A what current is carried by the third resistοr.

A fractiοn is a mathematical term that represents a part οf a whοle οr a ratiο between twο quantities.

a. Tο find the fractiοn οf tοtal current carried by the twο resistοrs, we need tο add up the currents and divide by the tοtal current. Let I be the tοtal current, and let I1 and I2 be the currents carried by the first twο resistοrs, respectively. Then we have:

I1 = 1/5I

I2 = 1/2I

The tοtal current is:

I = I1 + I2 = (1/5 + 1/2)I = 7/10I

Therefοre, the fractiοn οf tοtal current carried by the twο resistοrs is:

(I1 + I2)/I = (1/5I + 1/2I)/I = (7/10I)/I = 7/10

b. Let I3 be the current carried by the third resistοr. Then we have:

I3 = I - (I1 + I2) = I - 7/10I = 3/10I

Therefοre, the fractiοn οf tοtal current carried by the third resistοr is:

I3/I = (3/10I)/I = 3/10

c. If the tοtal current is 8A, then we have:

I = 8A

The current carried by the third resistοr is:

I3 = 3/10I = 3/10 x 8A = 2.4A

Therefοre, the current carried by the third resistοr is 2.4A.

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I don't know exactly but I have gotten decrease

Answer:

decay decrease 4%

Step-by-step explanation:

Just did it on deltamath

Answer:

18. y = -2x + 6

19. y = -1/2x -1/2

Step-by-step explanation:

y = mx + b

18. The point (0,6) 0 is the x-intercept and 6 is the y-intercept

For now, all we care about is 6

-2 is the slope which means the line will go down 2 and right 1

m = slope

b = y-intercept

y = -2x + 6

19.

-1/2 is the slope which means the line will go down 1 and right 2

For the y-intersept, I just played with it on a graphing calculater until I got it right.

m = slope

b = y-intercept

y = -1/2x -1/2

Answer:

1) 9x

2) 3b

3) 3m

4) 5a

5) 7x

6) 3a + 5b

7) 9x - 4

8) 2b + m

9) 13a + b + 6c

10) 9b + 1

11) 7p

12) 2a + b -10

Step-by-step explanation:

Answer:

11+13

Step-by-step explanation:

because of math boom

Answer:

Addition of this would sum up to be 40.7

Step-by-step explanation:

First simplify the fraction as in decimal form which is 0.7 then add the whole number 40. which gives you the answer...

To make it easier with bigger numbers use Desmos scientific calc. or just do it off paper.

IDC DO WHAT HELPS U BEST

Answer:

your question is being denied due to lack of importance

Step-by-step explanation:

Answer:

The present value is  \(PV = \$ 396,987\)

Step-by-step explanation:

From the question we are told that

   The  interest payment per year is  \(C = \$ 85\)

    The principal payment is  \(P = \$ 1000\)

     The  duration is  n =  8   years

      The  interest rate is  \(r = 10\% = 0.10\)

The present value is  mathematically represented as

      \(PV = [ \frac{C}{r} * [1 - \frac{1 }{ (1 +r)^n} ] + \frac{P}{(1 + r)^n} ]\)

substituting values

      \(PV = [ \frac{85}{0.10} * [1 - \frac{1 }{ (1 +0.10)^8} ] + \frac{1000}{(1 + 0.10)^ 8} ]\)

      \(PV = \$ 396,987\)

Answer:

1.029 is greater than 1.0275

Step-by-step explanation:

Answer:

1.029

Step-by-step explanation:

What is greater 1.0275 or 1.029

.027 < .029

So, 1.029 is greater.

Answer:

3 X 108=324  and 4 X 106=424

Step-by-step explanation:

hope it helps if not sorry

The constant of proportionality (G) in the above equation is known as the universal gravitation constant. The precise value of G was determined experimentally by Henry Cavendish in the century after Newton's death. (This experiment will be discussed later in Lesson 3.) The value of G is found to be

G = 6.673 x 10-11 N m2/kg2

The units on G may seem rather odd; nonetheless they are sensible. When the units on G are substituted into the equation above and multiplied by m1• m2 units and divided by d2 units, the result will be Newtons - the unit of force.

Answer:

a. 36

b. 8.5 (8 1/2)

c. 2/5

d. 6

e. 9

f. 8

Step-by-step explanation:

a. 36

b. 8.5 (8 1/2)

c. 2/5

d. 6

e. 9

f. 8

Answer:

Is D

sorry if it wrong :(((

The value of the operation is \(-\frac{97}{10}\)

Data;

To solve this problem, we have to cover the fractions from mixed fraction to improper fraction.

\(-3\frac{1}{5}=-\frac{16}{5}\)

And the second fraction would be

\(-6\frac{1}{2}=-\frac{13}{2}\)

Let's add both fractions together and solve

\(-\frac{16}{5} + (-\frac{13}{2}) = -\frac{97}{10}\)

From the calculations above, the value of the operation is \(-\frac{97}{10}\)

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Answer:

297 square feet

Step-by-step explanation:

Let w represent the width of the garden.

Since the length is 24 ft longer than the width, it can be represented by w + 24.

Use the perimeter formula, p = 2l + 2w. Plug in the perimeter and w + 24 as l, then solve for w:

p = 2l + 2w

84 = 2(w + 24) + 2w

84 = 2w + 48 + 2w

84 = 4w + 48

36 = 4w

9 = w

So, the width is 9 ft. Add 24 to this to find the length:

24 + 9 = 33

So, the length is 33 ft.

Find the area of the garden with the formula A = lw:

A = lw

A = (33)(9)

A = 297

The area of the garden is 297 square feet.

Answer:

-6+x≤15

negative six: -6

plus: +

a number: variable (I chose x)

Less than or equal to: ≤ (an inequality)

fifteen: 15

Answer:

-6 + n ≤ 15

or

n ≤ 21

Step-by-step explanation:

negative six is -6

plus a number would be a variable (I will use n) + n

is less than or equal to would be ≤

fifteen is 15

-6 + n ≤ 15

If you want to solve it, continue

-6 + n ≤ 15

+6         +6

n ≤ 21

I hope that this helps! :)

Answer:

x = 26

y = 94

Step-by-step explanation:

How I found x...

5x - 46 = 84

Add 46 to both sides

5x = 130

Divide both sides by five

x = 26

How I found y...

y + 86 = 180 (straight line equals 180)

Subtract 86 from both sides

y = 94

I hope this helps!!

The probability of getting a pair of 10s is 1/26.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Here,

Total number of outcomes = 52

Number of outcomes = 2

So, the probability is 2/52

= 1/26

Therefore, the probability of getting a pair of 10s is 1/26.

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Answer:

23.6

Step-by-step explanation:

Finding AC:

Cos 61 = \(\frac{adjacent}{hypotenuse}\)

0.48 × 10 = Adjacent

AC = 4.8

Now, CB:

Cos 29 = \(\frac{adjacent}{hypotenuse}\)

0.87 × 10 = CB

CB = 8.8

The perimeter:

=> 10+4.8+8.8

=> 23.6

Answer:

23.6

Step-by-step explanation:

y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

The equation y= -2 -4x in the form of slope intercept form y=mx+b is y=-4x-2.

Where m represents the slope and y intercept is -2.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line.

The negative reciprocal of -4 is 1/4.

Therefore, the slope of the perpendicular line is 1/4.

The perpendicular line is y=1/4x-2.

We know that the parallel lines have same slope.

y=-4x+3

Hence, y=1/4x-2 is a perpendicular line and y=-4x+3 is a parallel line.

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It is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in
the graph intersecting the x- or y-axis at a different point.

Function is an operation that takes an input, performs some processing on it, and returns a result. It is a set of instructions that performs a specific task. Functions are typically used to perform repetitive tasks, like finding the sum of two numbers, adding two strings together, or finding the maximum of a list of numbers. Functions are essential to programming and can be used to make code more organized, reusable, and efficient.


The function f(x) = x is the parent function for linear equations. This equation is generally used to graph a line with a slope of 1 and a y-intercept of (0, 0). In order to translate this parent function, different transformations are applied to it.

A vertical translation down 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function down 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, -4).

A horizontal translation right 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function right 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (4, 0).

A horizontal translation left 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function left 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (-4, 0).

Finally, a vertical translation up 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function up 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, 4).

In conclusion, it is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in the graph intersecting the x- or y-axis at a different point.

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The function w(x) = 0.15x + 500 represents the relationship between Stephanie's wages and her monthly sales.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

Let's suppose the Stephanie's wages is w and weekly sale is x

So we can model a function:

\(\rm w(x) = \dfrac{15}{100}x+500\)  or

w(x) = 0.15x + 500

Thus, the function w(x) = 0.15x + 500 represents the relationship between Stephanie's wages and her monthly sales.

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Answer:

A. True

Step-by-step explanation:

A paired T- test is also sometimes called the dependent sample t-test. It may be defined as a statistical procedure that is mainly used to determine if the mean variance between the two samples or units of the observations are zero or not.

It helps to compare the two means which are taken from the same objects, related units or from same in individual.

According to the question, the answer is true as the paired T-test can be reduced to the single mean T- test.

Answer:

97%

Step-by-step explanation:

If you get 100% on a test, you got all the answers correct.

It doesn't matter how many questions there are. If you got all of them correct, you get 100%.

What if you have 100 questions on a test?

If you got 85 questions correct, on a 100 question test, your grade would be 85%.

If you got 35 questions correct, on a 100 question test, your grade would be 35%.

If you got 98 questions correct, on a 100 question test, your grade would be 98%.

If you count 100 trees, and 97 of them were evergreen, the percentage of trees that are evergreen would be 97%.