How many solutions does the following equation have? 4(y+z+ 2) = 716 (2+ y)

Answer:

1

Step-by-step explanation:

Answer:

There is only 1 variable and it is v.

There is no coefficient.

That means the coefficient is 1.  

The coefficient of the variable in the expression ½ + v - 3 is \(\frac{1}{2}\)

In mathematics, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number, but may be any expression (including variables such as a, b, and c). When the coefficients are themselves variables, they may also be called parameters.

Given that,

\(\frac{1}{2}\) is the coefficient

\(v\) is the variable

\(3\) is the constant

Therefore, The coefficient of the variable in the expression ½ + v - 3 is \(\frac{1}{2}\)

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If the data were transformed and points with the coordinates

(x, log(y)) were plotted then the points (1, 1.079), (2, 1.919), (3, 2.763) were plotted.

To plot the points with the coordinates (x, log(y)), we need to take the logarithm of the y-values.

Let's calculate the logarithms for the given data:

x     y            log(y)

1     12          log(12) = 1.079

2     83        log(83) = 1.919

3     580      log(580) = 2.763

Therefore, the points that would be plotted are (1, 1.079), (2, 1.919), (3, 2.763)

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The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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Answer:

-8 degrees

Step-by-step explanation

Half of negative 16 would be negative 8.

Answer:

-8

Step-by-step explanation:

-16 ÷ 2 = -8

You could also do:

16 ÷ 2 = 8

and then put a negative in front of 8

And to prove it's true,

8 x 2 = 16

-8 x 2 = -16

The equation of the line that passes through the point (-3, 7) and has a slope of -5/3 is y - 7 = (-5/3)(x + 3).

We are given the point (-3, 7) and the slope of the line as -5/3.The slope-intercept form of a line is y = mx + b where m is the slope and b is the y-intercept.

To obtain the equation of the line, we need to substitute the values of slope and point in the slope-intercept form and solve for b.(7) = (-5/3)(-3) + b 21/3 = b.

Now we have the value of b, and we can substitute the values of m and b in the slope-intercept form.y = (-5/3)x + 21/3 is the equation of the line in slope-intercept form.

To obtain the equation in the standard form Ax + By = C, we multiply each term by 3.3y = -5x + 7Add 5x to both sides5x + 3y = 7.

This is the equation of the line in standard form.

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The correct simplification form is d) \(3a^2\sqrt[3]{3a^2}\)

What is simplification?

   Make something simpler by simplifying it. In mathematics, reducing an expression, fraction, or problem to a simpler form is referred to as simplification. With calculations and solution, the problem is made simple. In order to achieve consistency in efforts, costs, and time, processes must be simplified. It gets rid of variation and variety that is superfluous, harmful, and unproductive.

Here the given expression is,

=> \(\sqrt[3]{81a^8}\)

=> \(\sqrt[3]{3*3*3*3*a^2*a^2*a^2*a^2}\)

=> \(\sqrt[3]{3^3*(a^2)^3*3*a^2}\)

=>  3\(a^2\sqrt[3]{3a^2}\)

Hence the correct option is d) 3\(a^2\sqrt[3]{3a^2}\).

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Answer:

4 of the conspiracy theories were true

Step-by-step explanation:

Percentages

Phil read a book with 16 conspiracy theories, 75% of which were false. It means that 25% of them were true.

25% of 16 is 25 * 16 / 100 =400 / 100 = 4

Thus, 4 of the conspiracy theories were true

The smallest positive integer which when divided by 5 leaves a remainder of 3 is 8

From the question, we have the following parameters that can be used in our computation:

Divisor = 5

Remainder = 3

Using the above as a guide, we have the following:

Smallest integer = Divisor + Remainder

So, we have

Smallest integer = 5 + 3

Evaluate

Smallest integer = 8

Hence, the smallest is 8

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The distributive property tells us that the sum of two or more addends multiplied by a number is equal to distributing the multiplier to each addend separately and adding the products:

The expression P is equal to 2(3x-9), using the distributive property:

2(3x-9) = 2*3x-2*9 = 6x-18

So, 6x-18 is an equivalent expression for P.

Part B:

The expression Q: 6x-9 can be factorized using common factor

6x-9 = 3(2x-3)

Both expressions are different, therefore, both equations are not equivalent for x value:

Set x = 50

For P:2(3x-9) = 2(3(50)-9) = 282

For Q: 6x-9 = 6(50)-9 =291

Answer:

y=-1+squareroot 47l /6, -1- squaroot 47l/6

Step-by-step explanation:

3x^2 +2x+4−x=0

3x^2 +x+4=0

y=-1+squareroot 47l /6, -1- squaroot 47l/6

The expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.

To calculate for the volume of a rectangular base pyramid, we use the formula:

volume = 1/3 × area of base rectangle × height

volume of one identical pyramid = (1/3 × 5 × 0.5 × 2)cubic units

volume of the two identical pyramid = 2(1/3 × 5 × 0.5 × 2)cubic units.

Therefore, the expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.

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The composite function f·g(x) is 4x⁴+24x³.

The given functions are f(x)=x²+6x and g(x)=4x².

We need to find f·g(x).

We know that, f·g(x)=f(x)×g(x)

Here, f·g(x)=(x²+6x)×4x²

= x²×4x²+6x×4x²

= 4x⁴+24x³

Therefore, the composite function f·g(x) is 4x⁴+24x³.

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The most appropriate inference procedure for the researchers to use is this:

The best inference to use for the scenario described in the text is a matched pair t-interval for a mean difference. This form of testing is used in order to determine the differences between variables that occur within a specific subject.

So, in this instance, we are measuring the timed differences between the mice and associating this with their learned behavior. The matched pairs t-interval will help the researcher to accurately identify any changes with respect to time.

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Answer: Vertex:

(

(

2

,

3

)

)

f

(

x

)

-intercept:

15

x

-intercepts: (no Real intercepts); Complex intercepts

2

±

i

Explanation:

To find the vertex convert the given equation into vertex form.

f

(

x

)

=

3

x

2

−

12

x

+

15

XXX

f

(

x

)

=

3

(

x

2

−

4

x

)

+

15

XXX

f

(

x

)

=

3

(

x

2

−

4

x

+

4

)

+

15

−

3

×

4

XXX

f

(

x

)

=

3

(

x

−

2

)

2

+

3

which is the vertex form for a parabola with vertex at

(

2

,

3

)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The

f

(

x

)

-intercept is the value of

f

(

x

)

when

x

=

0

Using the original form of the equation we can see that

XXX

f

(

x

)

=

15

when

x

=

0

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The

x

-intercept(s) is/are the value of

x

when

f

(

x

)

=

0

.

Using the vertex form we derived

XXX

0

=

3

(

x

−

2

)

2

+

3

XXX

→

(

x

−

2

)

2

+

1

=

0

XXX

→

(

x

−

2

)

2

=

−

1

Since the square of any Real number is greater than or equal to zero

we can see that this equation has no Real solutions.

However if Complex solutions are permitted

XXX

x

−

2

=

±

√

−

1

=

±

i

XXX

→

x

=

2

±

i

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Step-by-step explanation:

Answer:

A edge 2021

Step-by-step explanation:

The correct answer is option A

Reflection is the mirror image of the shape. In other words reflection is also called a flip.

In the given figure the vertices of the triangle are (1,1) , (4,1) and ( 4,3)

So, after reflection over the line y=x,

So, the correct answer will be option A , where the triangle has the vertices (1,1) , ( 1,4) and (3,4).

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In the equation , cost of both companies will be same to rent a car is 6 days.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here the deposit for the rent car in Wreck = $30

Cost for renting in Wreck = $15 per day

Cost for renting in Barely = $20 per day.

Here let us take the number of days as x.

Then, Cost for renting in Wreck = 15x+30

Cost for renting in Barely = 20x

To rent a car , if cost of both companies is same then the equation is,

=> 15x+30 = 20x

=> 20x-15x = 30

=> 5x = 30

=> x = 30/5 = 6

Hence We have to rent a car for 6 days  the cost of both companies to be the same.

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The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.

The length of the container is 2.76 meters.

The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).

The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).

Now we can calculate the volume of the container:

Volume = Length × Width × Height

Volume = 2.76 meters × 2.35 meters × 1.96 meters

Volume ≈ 12.9516 cubic meters (rounded to four decimal places)

Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.

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Answer:

The formula for determining the present value of an annuity is PV = dollar amount of an individual annuity payment multiplied by P = PMT * [1 – [ (1 / 1+r)^n] / r] where: P = Present value of your annuity stream. PMT = Dollar amount of each payment. r = Discount or interest rate.

Step-by-step explanation:

Hope this helps :) :)

Answer:

To find the probability of selecting a Coke person from this group, we need to divide the number of people who prefer Coke by the total number of people in the group.

The number of people who prefer Coke is 29. The total number of people in the group is 29 + 21 + 37 + 28 + 19 + 16 + 150 + 150 + 2 = 452.

Therefore, the probability of selecting a Coke person from this group is:

P(Coke) = Number of people who prefer Coke / Total number of people in the group = 29 / 452 ≈ 0.064

So the probability of selecting a Coke person from this group is approximately 0.064.

I hope this helps! Let me know if you have any other questions.

Step-by-step explanation:

Answer:

I don't know what to do with it but I don't

Step-by-step explanation:

hahahaha

Answer:

3/12= 1/4

Step-by-step explanation: because you would add the all up for 12 and you have a 3 vanilla's so 3/12= 1/4

Answer:  y=2-2x

Step-by-step explanation:

The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

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Answer:

m = 25 + 6n

Step-by-step explanation:

To write a function for the amount of money Makayla spent going to the movies during the club, you need to consider two things: the annual registration fee and the discounted ticket price. The annual registration fee is a fixed amount that does not depend on the number of movie tickets Makayla purchases. The discounted ticket price is a variable amount that depends on the number of movie tickets Makayla purchases. You can use a letter, such as n, to represent the number of movie tickets Makayla purchases. Then, you can write an expression for the amount of money Makayla spent on movie tickets, which is 6 times n, or 6n. To find the total amount of money Makayla spent going to the movies during the club, you need to add the annual registration fee and the amount of money spent on movie tickets. This gives you the expression 25 + 6n. You can use another letter, such as m, to represent the total amount of money Makayla spent going to the movies during the club. Then, you can write an equation that relates m and n, which is m = 25 + 6n. This equation is a function that models the amount of money Makayla spent going to the movies during the club as a function of the number of movie tickets she purchased.

The dividend payout ratio is 9%.

The other calculation is not calculated because the required value is not given.

The dividends payout ratio is the ratio between the common stockholder's amount and the net income.

It is important financial analytics because it is used to determine the sustainability of a company's dividend payment analysis.

We have,

Earnings per share.

We need to divide the net income by the number of outstanding shares. We are not given the number of outstanding shares, so we cannot compute the earnings per share.

Price-earnings ratio.

We cannot compute the price-earnings ratio without the stock price.

Dividend payout ratio.

Common stockholders = $320

The net income =$3540

= Dividends to common stockholders / Net income

= $320 / $3540

= 0.09

= 9%

Dividend yield ratio.

= Dividends paid to common stockholders / Stock price.

We are not given the stock price, so we cannot compute the dividend yield ratio.

Book value per share.

= Total stockholders' equity / Number of outstanding shares.

We are not given the number of outstanding shares, so we cannot compute the book value per share.

Thus,

The dividend payout ratio is 9%.

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Answer:

I think the first answer is angle some property..

Answer:

300 meters

Step-by-step explanation:

Answer:

288 boxes

Step-by-step explanation:

5,184 / 18=288 boxes

Answer:

C: EAF Is the correct answer

Answer:

50 yards

Step-by-step explanation:

Have a nice day :)

Answer:

1810 yd

Step-by-step explanation:

Satomi ran 50 more yards than 1/2 of 2 miles.

2 miles ÷ 2 = 1 mile

1 mile = 1760 yd

1760 yd + 50 yd = 1810 yd