how do I solve 5(x + 4) = 7x - 26

The quadratic inequality equation in standard form that contains the points in the later experiments is y ≤ - 3x² + 24x + 12.

The equation for the motion of the projectile is calculated as follows;

h = h(0) + vt - ¹/₂gt²

From the given options, the quadratic inequality equation in standard form that contains the points in the later experiments is;

y ≤ - 3x² + 24x + 12

proof, when x = 4 s

y ≤ - 3(4)² + 24(4) + 12

y ≤ 60

Thus, the quadratic inequality equation in standard form that contains the points in the later experiments is y ≤ - 3x² + 24x + 12.

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Answer:

c

Step-by-step explanation:

wrong

Answer:

Step-by-step explanation:

\( \sqrt{ {x}^{2} - {a}^{2} } \sqrt{ \frac{10}{a + x} } \\ = {( \sqrt{ {x}^{2} - {a}^{2} } \sqrt{ \frac{10}{a + x} })}^{2} \\ = ({x }^{2} - {a}^{2} ) \times ( \frac{10}{a + x} ) \\ = (x - a)(x + a) \times \frac{10}{a + x} \\ = (x - a) \times 10 \\ = 10(x - a) \\ \)

Answer:

6

Step-by-step explanation:

Simplifying the expression (2+1)2, we can first perform the operation within the parentheses, which gives us:

(2+1)2 = 3 x 2

Then, we can multiply 3 by 2, which gives us:

3 x 2 = 6

Therefore, the simplified expression for (2+1)2 is 6

Answer:

$24642.85 per person.

Step-by-step explanation:

6.9T/280M

The average amount of debt on each person in U.S is  $24,642.86.

An average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.

Total debt = $6.9 trillion = $6.9 * \(10^{12}\)

Total population = 280 million = 280 * \(10^{6}\)

Debt per person = total debt / total population =  $24,642.86 (approximately).

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Answer:

1.Their masses are different

The solution of measure of angle e is,

⇒ e = 58 degree

We have to given that,

Two lines are intersect each other.

Hence, By definition of linear pair angle, we get;

⇒ e + 122 = 180

Subtract 122 from both sides to isolate e.

This gives us,

⇒ e = 180 - 122

⇒ e = 58

Therefore, The solution of measure of angle e is,

⇒ e = 58 degree

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Answer:

number of males: 29

Number of females: 18

Step-by-step explanation:

X=number of females

X+11=number of males

X+X+11=47

2X+11=47

2X=47-11

2X=36

X=36/2

X=18

So number of females = 18

X+11=18+11=29

So number of males = 29

Answer:

7.25

Step-by-step explanation:

29 divided by 4

Answer:

x>15/7

Step-by-step explanation:

well, the tax amount is simple, it was $71 and it went up to $86.45, that's a 15.45 difference, so that IS the tax amount.

now, if we take 71(origin amount) to be the 100%, what's 15.45 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 71 & 100\\ 15.45& x \end{array} \implies \cfrac{71}{15.45}~~=~~\cfrac{100}{x} \\\\\\ 71x=1545\implies x=\cfrac{1545}{71}\implies x\approx 21.76\)

Answer:

19

Step-by-step explanation:

38 - 50% = 19

Answer:

shown below

Step-by-step explanation:

Look at the white squares, count them. 1, 2, 3. the next will be 4 and 5. draw 4 white squares, then house it in black squares like the others. to know if u did it right, count the black squares, there should be 8, then 9.

The length of each side of the square is 16 cm, the perimeter is 64 cm, and the area is 256 cm^2.

Let's solve the problem step by step. We have a square ABCD, and we need to find the length of its sides when the diagonal is 16√2 cm long.

In a square, the diagonal forms a right triangle with the sides. The sides of a square are equal in length, so let's assume the length of one side of the square is 'x' cm.

Using the Pythagorean theorem, we can find the relationship between the side length and the diagonal:

x^2 + x^2 = (16√2)^2

2x^2 = 512

Dividing both sides by 2, we have:

x^2 = 256

Taking the square root of both sides:

x = √256

x = 16 cm

So, the length of each side of the square is 16 cm.

To find the perimeter of the square, we simply multiply the length of one side by 4 since all sides are equal:

Perimeter = 4 * 16 cm = 64 cm

To find the area of the square, we square the length of one side:

Area = (16 cm)^2 = 256 cm^2

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Note the complete question is:

Find the length of side of square ABCD when diagonal is 16√2 cm long. Also find the perimeter and area of the square?

Answer:

54!

Step-by-step explanation:

you add and subtract all the numbers!

Answer:

54

Step-by-step explanation:

using order of operations you get 54.

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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Answer:

4x+7=3x+7

Step-by-step explanation:

-3(2x-5)=15-6x is infinite solution

top left is x=-3

top right is x=5 5x

Answer:

The experimental probability that the next contestant will qualify for the bonus round is \(\frac{7}{10}\)

Step-by-step explanation:

The experimental probability of an outcome is the number of trials in which the desired outcome happened divided by the total number of trials.

What is the experimental probability that the next contestant will qualify for the bonus round?

14 contestants qualified out of 14+6 = 20 contestants. So

\(p = \frac{14}{20} = \frac{7}{10}\)

The experimental probability that the next contestant will qualify for the bonus round is \(\frac{7}{10}\)

The period of the sound wave created by the tuba is approximately 0.0134 seconds.

The speed of sound in air is given as 343 meters per second. The formula relating the speed of sound, wavelength, and period of a wave is:

v = λ × f

Where:

v = speed of sound (343 m/s)

λ = wavelength (4.61 m)

f = frequency (unknown)

To find the period, we need to determine the frequency of the sound wave. The period (T) is the reciprocal of the frequency (f), so we can rewrite the formula as:

v = λ / T

Rearranging the equation to solve for the period (T), we get:

T = λ / v

Substituting the given values, we have:

T = 4.61 m / 343 m/s

Calculating the value, we find:

T ≈ 0.0134 seconds

Therefore, the period of the sound wave created by the tuba is approximately 0.0134 seconds.

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We conclude that the closest measure to 73 hectograms is 16.09 pounds,

First, notice that:

1 hectogram = 100 grams.

Now let's write all of the given measures in grams, and let's see which one is approximately equal to 73 hg.

Remember that:

1 ounce = 28.3 grams.

1 pound  = 453.6 grams.

Then the given measures are:

The one that is closest to 73 hectograms is the last measure, that when written in hectograms are:

7,298.4 grams = (7,298.4/100) hectograms = 7.298 hectograms.

We conclude that the closest measure to 73 hectograms is 16.09 pounds.

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Answer: okay so first solve for x which is going to be x=10

Step-by-step explanation:

Combine like terms:

2 x + x + x + 2x + 2x = 8x

-1 -3 = -4

The equation becomes 8x -4 = 76

If you need to solve it:

8x-4 = 76

Add 4 to both sides:

8x = 80

Divide both sides by 8:

X = 10

Answer:

( - 1 , - 2 )

( 7 , 1 )

(-1 , 1 )  

(7, - 2)

Step-by-step explanation:

Find the coordinates of all  vertex

Solve:

(-1, -2 ) ⇒ this point is the vertex D of the pre-image

( 7 , 1 ) ⇒  this point is the vertex B of the pre-image

(-1, 7 ) ⇒ this point is not a vertex of the pre-image

(-1, 1 ) ⇒  this point is the vertex A of the pre-image

( 7 , -2 ) ⇒ this point is the vertex C of the pre-image

Thus, the answer is

( - 1 , - 2 )

( 7 , 1 )

(-1 , 1 )  

(7, - 2)

~Lenvy~

Answers:

A ... (–1, –2)

B ... (7, 1)

D ... (–1, 1)

E ... (7, –2)

Step-by-step explanation:

Got it correct on Edge2020

Answer:

A)

Function A: Exponential

Function B: Linear

Function C: Exponential

Function D: Exponential

B) Function A

Step-by-step explanation:

Function A: This is exponential because- (1, 3)(2,9)(3,27)

It is not going up by the same number each time. However, it is multiplying by 3 each time which means it is exponential.

Function B: This is linear because- (1, 64)(1, 80)(1, 96)

It is going up by 16 each time, (a constant number) which means it is linear.

Function C: This is exponential because- there is a curve, linear is always a straight line. But, this has a curve which means it is exponential.

Function D: This is exponential because- It is increasing by a percentage and not a constant number. It is increasing by 1% which means it is exponential.

The function that has the greatest growth factor is Function A because, Function A multiplies by 3 each time. Function B is linear, exponential functions always pass linear functions despite how "steep" they are. Eventually, the exponential function will surpass it. Function C is also exponential but is not as "steep" as Function A. Function A multiplies by 3 each time but Function C increases less. Function D is also exponential, and for the same reasons as Function C, Function A has the greatest growth factor.

The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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Answer:

3/2 is greater than 1

Step-by-step explanation:

A little trick to immediately know if a number is more or less than when it involves fractions versus whole numbers is that improper fractions will always be greater than 1.

If you want to confirm this, dividing 3/2 equals 1.5, ergo 1.5 > 1.

In essence, improper fractions will always represent a number greater than one contrasted to proper fractions because if you put it on a perspective (let's say you have 13 pie slices but you only needed 12, that means there is a pie slice that's extra that makes it greater than the original pie slices).

Hope that helps :)

The probability of growing seed exactly one is 0.0033.

The probability of a seed not growing is 0.46, because if it has a 54% chance of growing, then  100% - 54% to find the odds that it will not grow, which is 46%.

The probability of 7 seeds growing is equivalent to asking what the probability is of a seed growing and another seed growing and another seed growing and another seed, and so on until I say a total of 7seeds. The point is that "and" in probability means to multiply.

To calculate the likelihood of seven seeds growing,

(0.46)(0.54)⁷

Probability = 0.0033

Probability = 0.0033 x 100

                  = 0.33%

Therefore probability of growing exactly one seed is 0.0033.

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The efficiency of an algorithm is the situation in which the algorithm performs the fewest number of operations feasible.

In essence, an algorithm is deemed efficient when it generates results in a short period of time while using minimal computational resources.

To accurately quantify an algorithm's efficiency, developers must examine how long it takes to execute, how much memory is utilized, how many operations are done, how many input and output values are used, and how many resources are required.

A sorting algorithm that takes one second to finish, for example, should be quicker and more efficient than one that takes ten seconds, even if the latter only consumes half the memory.

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Hence the correct option is to translate down 2 unit

Transformations can be non-rigid (when the preimage's size or shape is unaltered) or stiff (where the size is changed but the shape remains the same). These are the fundamental guidelines that this concept abides by. It is a straightforward approach to alter 2D forms.

Planar transformations and spaces can be distinguished from one another using the dimensions of the operand sets.

We have the parent function f(X)= x

and transformed function is g(x)= -3f(x+5)-2

the parent function f(x) is translated dawn 2 units and stretched by 5 .

Hence the correct option is to translate down 2 unit

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Answer:

i'm not sure if i'm right but think is cube

Given:

ABCD is a parallelogram, A(-3,-1), B(1,4), C(4,-1).

To find:

The x-coordinate of point D.

Solution:

Let the point D be (x,y).

We know that the diagonals of a parallelogram bisect each other. So, third midpoints are same.

Midpoint formula:

\(Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)\)

In parallelogram ABCD, AC and BD are two diagonals.

Midpoint of AC = Midpoint of BD

\(\left(\dfrac{-3+4}{2},\dfrac{-1+(-1)}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)\)

\(\left(\dfrac{1}{2},\dfrac{-2}{2}\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)\)

\(\left(\dfrac{1}{2},-1\right)=\left(\dfrac{1+x}{2},\dfrac{4+y}{2}\right)\)

On comparing both sides, we get

\(\dfrac{1}{2}=\dfrac{1+x}{2}\)

\(1=1+x\)

\(1-1=x\)

\(0=x\)

Similarly,

\(-1=\dfrac{4+y}{2}\)

\(-2=4+y\)

\(-2-4=y\)

\(-6=y\)

The coordinates of point D are (0,-6).

Therefore, the x-coordinate of point D is 0.