Solve the equation. Check your answer. 22 = 6x + 1 -3x what does x equal?

Answer:

The length of the third side of the triangle is 30.

Step-by-step explanation:

Here is the formula for the Pythagorean Theorem:

\(a^{2} + b^{2} = c^{2}\)

The hypotenuse, based on the problem, is 50. Anyways, let's get back to calculating!

We need to multiply 40 times 40 and 50 times 50.

40 times 40, or 40 squared, equals to 1600.

50 times 50, or 50 squared, equals to 2500.

\(c^{2} - b^{2} = a^{2}\)

Now, let's subtract. 2500 - 1600 = 900. We need to find the square root of 900--which is 30, because 30 times 30, or 30 squared, equals to 900.

Answer:

30

Step-by-step explanation:

c=√a^2+b^2

a=√c^2-b^2 = √50^2-40^2 = 30

well, let's recall that in a right-triangle the pythagorean theorem applies, meaning that c² = a² + b².

well, let's take a look at the two smaller sides hmmm 24 and 69, now if we squared them will they be 74²?

\(74^2 = 24^2 + 69^2\implies 5476=576+4761\implies {\Large \begin{array}{llll} \stackrel{\bigotimes}{5476\ne 5337} \end{array}}\)

Answer:

  no

Step-by-step explanation:

You want to know if side lengths 24, 69, 74 will make a right triangle.

One of the simplest ways to tell if three integers will make a right triangle is to look at their parity. It must always be even. That is, the sum of the numbers cannot be odd if a right triangle is to be made.

Here, the sum is 24 +69 +74 = 167, an odd number.

These lengths will not make a right triangle.

If the sides lengths from least to greatest are a, b, c, then a form factor f can be calculated as ...

  f = a² +b² -c²

  f = 24² +69² -74² = 576 +4761 -5476 = -139

The interpretation of this form factor is ...

The measure of the largest angle in this triangle is ...

  θ = arccos(f/(2ab))

  θ = arccos(-139/(2·24·69)) ≈ 92.405° . . . . an obtuse angle

__

Additional comment

When the form factor is zero, the side lengths satisfy the Pythagorean theorem, a necessary and sufficient condition for the triangle to be a right triangle.

About the parity:

The parity of a square number is the same as the parity of the number being squared. For the Pythagorean theorem to be satisfied, the left and right sides of the equation ...

  a² +b² = c²

must have the same parity. That means the sum (a² +b² +c²) will be the sum of two numbers with the same parity, so will have even parity. In turn, this means the sum (a+b+c) must have even parity.

Answer:

$24

Step-by-step explanation:

im assuming that height is 4 since thats what it looks like...

surface area of 1 box (wrapping for 1 box): 2*[(14*8)+(14*4)+(8*4)] = 400 square inches

Surface area of 3 boxes(wrapping for 3 boxes): 400*3 = 1200 square inches

cost: 1200 * 0.02 = 24

Answer:

$24

Step-by-step explanation:

Dimensions: 14 x 8 x 4

It's asking what the cost is if you cover 3 boxes, not the volume, so we have to find the surface area of 1 box then multiply it by 3, then multiply by 0.02

The formula for a rectangular prism is:

2(wl+hl+hw)

2((8x14)+(4x14)+(4x8)

=400

Now, there are 3 boxes, so 400x3 = 1,200

1,200 x 0.02 = 24

So, it will cost $24 to cover 3 shoe boxes, hope this helps :)

Answer:

D

Step-by-step explanation:

Hey There!

In order for it to be a function the x value cannot repeat

In the last graph the x value repeats multiple times therefore it is not a function

The equation of the line tangent to the curve at t = -1 is x + 5y = -2.

To find the equation of the line tangent to the curve defined by the parametric equations x = t^3 + 2t and y = t^2 + t + 1 at the point where t = -1, we need to follow these steps:

Calculate the values of x and y at t = -1:

Substitute t = -1 into the parametric equations:

x = (-1)^3 + 2(-1) = -1 - 2 = -3

y = (-1)^2 + (-1) + 1 = 1

So, the point on the curve where t = -1 is (-3, 1).

Find the derivatives of x and y with respect to t:

dx/dt = 3t^2 + 2

dy/dt = 2t + 1

Evaluate the derivatives at t = -1:

dx/dt = 3(-1)^2 + 2 = 3 + 2 = 5

dy/dt = 2(-1) + 1 = -2 + 1 = -1

Use the derivatives to determine the slope of the tangent line at t = -1:

slope = dy/dx = (dy/dt)/(dx/dt) = (-1)/(5) = -1/5

Use the point-slope form of a linear equation to find the equation of the tangent line:

y - y1 = m(x - x1)

Plugging in the values: y - 1 = (-1/5)(x - (-3))

Simplifying: y - 1 = (-1/5)(x + 3)

Multiplying both sides by 5 to eliminate the fraction: 5y - 5 = -x - 3

Rearranging: x + 5y = -2

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The most appropriate units to describe the cost of the sandbox would indeed be dollars.

When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.

Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.

Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.

Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.

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Answer:

25 / 4

Step-by-step explanation:

To find the left sum, you need to....
1.) Find Δx

2.) Find \(x_{k-1}\)

3.) Find ∑\(^n_{k=1}f(x_{k-1})\)Δx

4.) Solve for the left sum

The scenario where restaurant gathers data about a new dish by providing free samples to parties of six or more is a sampling bias.

Sampling bias occurs when some members of a population are systematically more likely than others to be chosen for a sample. In the medical world, this is known as ascertainment bias. Because it threatens external validity, specifically population validity, sampling bias reduces the generalizability of findings.

Sampling bias occurs when some people in a community being surveyed are purposefully placed to be chosen or not chosen over others. If a sample process consistently favors some results over others, it is said to be biased. Ascertainment bias particularly in biological areas)/ and systematic bias are other terms for sampling bias. Bias can be intentional, but it is frequently unintentional.

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The reasonable domain for this function is 0 < x < 50

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

Given;

A = 50W - W2

The area of a rectangle cannot be negative;

The practical domain of A is determined when;

50W-W^2>0

Taking common factor W

W(50-W)>0

Since W must be positive W>0

50-W>0

Or equivalently

50>w

W<50

The total interval is

0<W<50

Therefore, the domain of the function will be 0 < x < 50

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The number one advantage of an experiment over an observational study is that an experiment allows for the manipulation of variables and the establishment of cause-and-effect relationships between variables.

In an experiment, researchers can control and manipulate the independent variable (the variable being tested) and observe the effects on the dependent variable (the variable being measured).

This level of control allows researchers to establish causal relationships between variables, which cannot be done in observational studies, where the researcher merely observes and measures the variables without intervening or manipulating them.

In other words, experiments allow researchers to determine whether a change in the independent variable causes a change in the dependent variable, which is crucial for making informed decisions in fields such as medicine, psychology, and social sciences.

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Answer: 2 2/3

Step-by-step explanation:

The number of men living in the village is 260.

A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:

                                           \(ax + by = c\)

Given:

Total inhabitants in the village: 817

Number of children: 241

There are 56 more women than men in the village

Total adults = Total inhabitants - Number of children

Total adults = 817 - 241

Total adults = 576

Let number of men in the village be 'x' and number of women in the village be 'y',

∴ y=x+56 (given) ..................(1)

Also, x+y=576 .................(2)

From equation (1) and (2),

x + (x + 56) = 576

2x + 56 = 576

2x = 576 - 56

2x = 520

x = 520 / 2

x = 260

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Answer:

e) none of these

Step-by-step explanation:

35% of 242 would be 84.7%

We know this because we simply have to solve it!

We solve it by doing:

(35/100)*242  

(35*242)/100

= 8470/100 = 84.7

We need to determine 35% of 242 now and the procedure explaining it as such

Step 1: In the given case Output Value is 242.

Step 2: Let us consider the unknown value as x.

Step 3: Consider the output value of 242 = 100%.

Step 4: In the Same way, x = 35%.

Step 5: On dividing the pair of simple equations we got the equation as under

242 = 100% (1).

x = 35% (2).

(242%)/(x%) = 100/35

Step 6: Reciprocal of both the sides results in the following equation

x%/242% = 35/100

Step 7: Simplifying the above obtained equation further will tell what is 35% of 242

x = 84.7%

Therefore, 35% of 242 is 84.77

The quadratic equation's answer is found by completing the square: x= 7/4, x = -1.

x ax2+bx+c=0, a quadratic polynomial in a single variable, is a quadratic equation. a 0. Since this polynomial is of second order, the Fundamental Theorem of Algebra guarantees that there is at least one solution. There are both straightforward and complex solutions. A quadratic equation is a quadratic equation. This suggests that it contains at least one word that has to be squared. One of the commonly used answers to quadratic equations is "ax2 + bx + c = 0." where the unknown variable "X" is represented by the numerical coefficients or constants a, b, and c.

given

4x^2 -3x-7 =0

4x^2 - 7x + 4x -7 = 0

x(4x-7) +1(4x-7) = 0

(4x-7 )(x+1) = 0

The quadratic equation's answer is found by completing the square: x= 7/4, x = -1.

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To answer this correctly, you could provide me with more information or details, I would be happy to try and help you approximate the height of the sculpture.

What is DNA?

DNA (Deoxyribonucleic acid) is a patch that contains the inheritable instructions used in the development and functioning of all living organisms. It's a long, double-stranded, spiral structure made up of four different structure blocks called nucleotides, which are represented by the letters A, T, C, and G. The specific sequence of these nucleotides along the length of the DNA patch determines the inheritable law of an individual organism and is responsible for its unique characteristics and traits. DNA is located in the nexus of cells and is organized into structures called chromosomes. It's essential for the replication of cells and the transmission of inheritable information from one generation to the coming.

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The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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The results of the calculations are approximately 7.07 and 3.74, respectively, to the correct number of significant figures.

Performing the calculation:

(10.52)(0.6721) = 7.0671992

Rounding to the correct number of significant figures, we have:

(10.52)(0.6721) ≈ 7.07

Next, let's calculate (19.09 - 15.347):

(19.09 - 15.347) = 3.743

Rounding to the correct number of significant figures, we have:

(19.09 - 15.347) ≈ 3.74

Therefore, the results of the calculations are approximately 7.07 and 3.74, respectively, to the correct number of significant figures.

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The curve -3\(x^{2}\) + 18x +3 has a maximum value of 30 at x = 3

In mathematics, a point at which a function’s value is greatest. If the value is greater than or equal to all other function values, it is an absolute maximum. If it is merely greater than any nearby point, it is a relative, or local, maximum. In calculus, the derivative equals zero or does not exist at a function’s maximum point.

Differentiate f(x) =  -3\(x^{2}\) + 18x +3 ,

we have dy/dx = -6x + 18.

at turning point, dy/dx = 0

-6x + 18 = 0

6x = 18

x =18/3

x = 3

to check if x = 3 is a minimum or maximum point, we take the second derivate

which is  \(\frac{d^{2}y }{dx^{2} }\) = -6

since  \(\frac{d^{2}y }{dx^{2} }\) < 0

F(x) is a maximum,

so maximum value of x, we substitute x = 3 into the function

f(x)  = -3\((3)^{2}\) + 18(3) + 3

f(x) = 30

In conclusion, the maximum value for the function is 30 at x = 3

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Answer:

r = 5 miles

Step-by-step explanation:

\(Radius (r) = ?\\Volume = 392.5\\Height (h) = 15\\ V = \frac{1}{3}*pi*r^{2} *h\\392.5= \frac{1}{3} * 3.14 *r^{2} *15\\392.5 * 3 = 1* 3.14 * r^{2} *15\\1,177.5 = 47.1r^{2} \\Divide - both - sides - of -the - equation by 47.1\\r^{2} = 25\\Square -root-both-side-to-eliminate-the-square\\\sqrt{r}^{2} =\sqrt{25} \\r = 5\\r =5 miles\)

59

Step-by-step explanation:

7 × 5 = 35

6 × 4 = 24

35 + 24 = 59

because 4 + 5 is 9 and 3 + 2 is 5

so 59

Answer:

59

Step-by-step explanation:

Follow PEMDAS

P=Parenthesis

E=Exponents

M=Multiplication

D=Division

A=Addition

S=Subtracting

So, multiply 7 times 5, then add 6 times 4.

35+24=59

The combination of meters (m) and seconds (s) is used to measure speed or distance.

Here are the completed statements using the appropriate metric units: My friend is 2 METERS tall. My water bottle has a volume of 1.5 LITERS. My thumb is 2 CENTIMETERS wide. I bought 3 KILOGRAMS of apples at the store. A penny weighs about 3 GRAMS. I can run 60 METERS in 10 seconds. Explanation: Meters (m) is the metric unit used to measure length or height. Liters (L) is the metric unit used to measure volume or capacity. Centimeters (cm) is the metric unit used to measure small distances or widths.

Kilograms (kg) is the metric unit used to measure mass or weight. Grams (g) is a smaller metric unit used to measure mass or weight. The combination of meters (m) and seconds (s) is used to measure speed or distance. These metric units provide standardized measurements that are widely used across the world, making it easier to communicate and compare quantities.

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Answer:

ASA...............................

Answer:

u will make that one the subject and substitute the values.

you can send an example for me to work for you

The solution identity of the equation given as 1/3(t + 6) -10 = -3t + 2 is that it has one solution

The equation is given as:

1/3(t + 6) -10 = -3t + 2

Multiply both sides of the equation by 3

(t + 6) -30 = -9t + 6

Remove the brackets

t + 6 -30 = -9t + 6

Subtract 6 from both sides

t - 30 = -9t

Subtract t from both sides of the equation

-10t = -30

Divide by -10

t = 3

Hence, the solution identity of the equation given as 1/3(t + 6) -10 = -3t + 2 is that it has one solution

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True. the interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model.

The slope and intercept of a line reveal the steepness of the line and the location in which it intersects an axis. The slope and intercept of the logistic relationship of the two variables can be utilized to get the average change rate. The ratio of a change in the variable y to the rise in the x component is known as the the line's slope.

Y = a + bX, where X seems to be the mediating variable and Y is the response variable, is the equation of a linear regression line. A is the intersection (the result of y for x = 0), and b is the line's slope.

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The interest rate is 5%

Compound interest is the interest earned not only on the principal amount of a loan or investment, but also on any accumulated interest that has been added to the principal over time. In other words, it is interest that is earned on both the initial investment and on the interest earned in previous periods.

We know that for the compound interest;

A = P(1 + r/n)^nt

7193.58 = 6500(1 + r)^2

7193.58/6500 = (1 + r)^2

1.1 = (1 + r)^2

ln 1.1 = 2ln 1 + r

ln1.1/2 = ln 1 + r

0.048 = ln 1 + r

1 + r = e^0.048

r = 1.05 - 1

r = 0.05

r = 5%

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Answer:

Yes

Step-by-step explanation:

2 sides are equal as well as one angle being equal, so we know that the other angles must be equal, along with the other side.

The dimensions that will produce the maximum enclosed area for two adjacent rectangular safe play areas of equal size with 200 feet of fencing is 100 feet by 100 feet.

To solve this problem, use the area of a rectangle formula A = lw, where l is the length and w is the width.

Since the two play areas must be of equal size, let's call the length and width l and w, respectively.

We know that the total length of fencing is 200 feet, so l + w = 200 feet.

We can then solve for l by rearranging the equation as l = 200 - w.

We then substitute this into the area equation to get A = (200 - w)w.

To maximize the area, differentiate this equation to get A' = w - 200.

Set this to 0 and solve for w to get w = 100. Since l + w = 200, l = 100 as well.

Therefore, the maximum enclosed area is produced by dimensions of l = 100 feet and w = 100 feet.

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