14 less than a number

Answer:

3^2 + x^2 = 9^2

9 + x^2 = 81

x^2 = 72

x = \(\sqrt{72\\}\), which is about 8.5

Cosine X = 3/9

Cosine X = 1/3

angle x= 70.5

If angle x= 70.5, angle z = 19.5 degrees.

Let me know if this helps!

the other answer is correct but i got overzealous and answered it too so uh yeah the other answer is right and im not the brightest, have a nice day :))

The range of the function g(x) is given as follows:

[0, ∞).

From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:

[0, ∞).

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Quadrilaterals are closed shapes having four sides and four angles. The sides and angles of quadrilaterals may be of any degree and size. However, quadrilaterals having similar or identical properties are classified into different types. There are six types of quadrilaterals that exist, with each having its unique properties.

One such quadrilateral is the parallelogram. A quadrilateral is said to be a parallelogram if its opposite sides are parallel. Let's assume ABCD be a quadrilateral and AB is parallel to DC, then we can write AB||DC. Let's suppose the line segment AD intersects with BC at point E. Then we can write AE=CE and BE=DE. We can also write AD||BC. From triangle ABE, we can write angle ABE is congruent to angle CDE as AE=CE. Similarly, angle AEB is congruent to angle CED because BE=DE. So, from both these, we can say that the triangles ABE and CDE are congruent, which can be written as; ∆ABE ≅ ∆CDE.

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Answer:

Simplify 74? Did you forget something?

Step-by-step explanation:

It isn't possible to simplify a whole number...

Answer:

-3

Step-by-step explanation:

Answer:

on day 10, ofcourse benita will pay more, as day by day, she pays $100 unlike avi, who pays double the amount of what he has paid yesterday. :)

Answer:

This is a sad moment

So this doctor came to see the little girl in the hosipital room near his office

The girl said “I want to be a doctor when I grow up“

THe docotr replied, “Awwww, your not gonna grow up”

DaRk HumOr

Also I wish you the best of luck if it is true of course :)

Answer:

B. x=1+2i or x=1-2i.

Step-by-step explanation:

The equation is given as;

x²-2x+5=0

complete the square method to find value of x as;

x²-2x = -5

x²-2x + 1 = -5 + 1

x²-2x +1 =-4

( x-1 )² = -4

x-1 = ±√-4 ---------where √-1 = i

x-1 =± 2i

So;

x-1 = + 2i

x= 1+2i

or

x= 1-2i

x= 1-2i

Answer:

AC = 23

Step-by-step explanation:

Assuming A, B, and C are on a line with B in the middle...

We know that AB + BC = AC. Travelling from A to C is the same as travelling from A to B, then B to C, as B is on the way between A and C.

Knowing this, we can set up this equation and add the 2 numbers we know:

AC = AB + BC

AC = 11 + 12

AC = 23

ther are 35 memebers which also signifies 35 students

if each student is to pay 4 dollars;

let total cost=T

number of students = y

cost of each student =x

T=y * x or T=y(x)

in this case

T=35*4

T=$140

The required percentage of regular grade gasoline are;

a) 34%

b) 95.5%

c)4.5%

(a) To determine the percentage of regular grade gasoline sold between $3.25 and $3.65 per gallon, we need to find the proportion of the data that falls within this range. Assuming a bell-shaped distribution, we can use the standard deviation and mean to find the z-scores for these two prices, and then look up the cumulative probability in a standard normal table.

$3.25$ is $1$ standard deviation below the mean and $3.65$ is $0.5$ standard deviation above the mean.

Using a standard normal table, we find that approximately 68% of the data falls within one standard deviation of the mean, and approximately 34% falls between $-0.5$ and $0.5$ standard deviations.

Therefore, approximately 34% of regular grade gasoline is sold between $3.25 and 3.65 per gallon.

(b) To find the percentage of regular grade gasoline sold between $3.25 and $3.85 per gallon, we need to find the cumulative probability for the range $3.25$ to $3.85$.

$3.85$ is $1.5$ standard deviations above the mean.

Using a standard normal table, we find that approximately 95.5% of the data falls within $1.5$ standard deviations of the mean.

Therefore, approximately 95.5% of regular grade gasoline is sold between $3.25 and $3.85 per gallon.

(c) To find the percentage of regular grade gasoline sold for more than $3.85 per gallon, we need to find the cumulative probability for values greater than $3.85$.

Using a standard normal table, we find that approximately 100% - 95.5% = 4.5% of the data falls above $1.5$ standard deviations from the mean.

Therefore, approximately 4.5% of regular grade gasoline is sold for more than $3.85 per gallon.

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Answer:

r = 5q / (p + 10)

Step-by-step explanation:

p = 5(q - 2r)/r

multiply both sides by r

pr = 5(q - 2r)

distribute

pr = 5q  - 10r

add 10r to both sides

pr + 10r = 5q

Factor out r

r(p + 10) = 5q

divide both sides by p + 10

r = 5q / (p + 10)

The expression equivalent to x⁶ - 9 is : (x³)² - 3²

A statement is considered to be an expression if it contains at least two numbers or variables and one mathematical action.

Power is the factor that is multiplied by itself, and exponent is the number of times the same base number has been multiplied.

Calculation:

we have given ,

x⁶ - 9

now we know that,

(xᵃ)ᵇ - yᵇ

similarly,

(x³)² - 3² = x⁶- 9.

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Answer:

Each person get 4 slice of pizza and 2 is remaining

Answer:

784

Step-by-step explanation:

196 times 4= 784

Answer:

784 in

Step-by-step explanation:

196x4=184

Answer:

they are equal i believe. but if not then patrick

Thomas solution of 6 parts sugar and 7 parts water was more sugary than Patrick 3 parts of sugar and 4 parts water.

What is proportion ?

A proportion is an equation based on the equality of two ratios.

let us 1st calculate the percentage of sugar solution patrick made by using 3 parts of sugar and 4 parts water :

\(\frac{3}{4}\cdot 100= 85\) %

Now let us calculate the percentage of sugar solution Thomas made by using 6 parts of sugar and 7 parts water :

\(\frac{6}{7}\cdot 100= 85.71\) %

Clearly, Thomas solution of 6 parts sugar and 7 parts water was more sugary than Patrick 3 parts of sugar and 4 parts water.

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The equation 5x = x + 3 has 1 solution.

The solution to the equation 5x = x + 3 is x = 3.

The distance between the astronomers and the moon is 756000 kilometres.The time taken for the laser beam to reach the moon and be reflected back to earth is 2.52 seconds.

As the speed of light is 300,000,000 m/s so the  total distance travelled by the laser beam is:

2 x (300,000,000 m/s) x (2.52 s) = 1,512,000,000 meters.

Still, this is the total distance travelled by the light, so,now we need to divide it by two to get the distance from the astronomers to the moon. Thus, the distance between the astronomers and the moon is:

(1,512,000,000 m) / 2 = 756,000,000 meters,

Or approximately 756,000 kilometres.

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The two different antiderivatives of f = 5x4 are x5 + C and x5 + 2C.

The given function is f = 5x4.

The antiderivative of f is given by: F (x) = ∫f (x) dx = ∫5x4dx= 5 * ∫x4dxLet's apply the power rule of integration for the antiderivative of x4.

∫xndx = (x(n+1))/(n+1)So,∫x4dx = x5/5Thus, F(x) = 5x5/5 + C = x5 + C

Where C is a constant of integration.

Antiderivative 1 =  x5 + C

Antiderivative 2 = x5 + 2C (where 2C is another constant of integration).

So, the two different antiderivatives of f = 5x4 are x5 + C and x5 + 2C.

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Both \(x^5 + C\) and \((5/6)x^6 + D\) are valid antiderivatives of \(f = 5x^4\) the function.

A function's antiderivative, or F'(x) = f, is a function F(x) whose derivative is equal to f(x) (x). Since it represents a family of functions that differ by an integration constant, an antiderivative is often referred to as an indeterminate integral. This implies that we can compute definite integrals of a function over any interval if we can identify its antiderivative. On the other hand, if we are aware of the value of a definite integral, we can use it to calculate the difference between the antiderivative values at the interval's ends.

The given function is \(f = 5x^4\).

The derivative of \(x^5 + C\) with respect to x is \(5x^4\), which is the same as f.

The derivative of \((5/6)x^6 + D\) with respect to x is \(5x^4\), which is also the same as f.

Therefore, both \(x^5 + C\) and \((5/6)x^6 + D\) are valid antiderivatives of \(f = 5x^4\).

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The distance of the parking lot from the first campsite is 3.14 miles.

The scale of the map is 1/24,000, which means that for every 1 inch on the map, it is equal to 24,000 inches in reality. To calculate the distance of the parking lot from the first campsite, we need to first convert the 8.3 inches on the map into inches in reality. To do this, we use the formula:

Actual distance = Map distance x (Map scale)

Actual distance = 8.3 inches x 24,000 inches

Actual distance = 199,200 inches

Now, to convert inches to miles, we can use the formula:

Miles = Inches / 63360

Miles = 199,200 inches / 63360

Miles = 3.14 miles

Therefore, the distance of the parking lot from the first campsite is 3.14 miles.

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Answer Below!

Answer That

Answer:

all sides will be 20

Step-by-step explanation:

100 divided by 5=20

Answer:

it would cost 9.05.....

The second derivative of y with respect to x in the given parametric equation is d²y/dx² = 5cos(2t)/2sin(t).


Given parametric equations are:

x = 5sin²t

y = 2cos(t)

Differentiating x with respect to t:

dx/dt = 10sin(t)cos(t)

Differentiating y with respect to t:

dy/dt = -2sin(t)

Differentiating dx/dt with respect to t:

d²x/dt² = 10(cos²t - sin²t) = 10cos(2t)

Differentiating dy/dt with respect to t:

d²y/dt² = -2cos(t)

Now we can calculate the second derivative of y with respect to x using the chain rule:

d²y/dx² = (d²y/dt²) / (dx/dt)²

= (-2cos(t)) / (10sin(t)cos(t))²

= -cos(t) / (25sin²(t)cos²(t))

= -cos(t) / (25sin²(2t)/4)

= -4cos(t) / (25sin²(2t))

= -5cos(2t) / (25sin²(2t))

= -cos(2t) / (5sin²(2t))

= 5cos(2t) / (2sin(t))²

= 5cos(2t) / 2sin(t)

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Answer:

-8

Step-by-step explanation:

(-2)^3=(-2)(-2)(-2)=4(-2)=-8

Answer:

-8

Step-by-step explanation:

(-2)^3

=(-2)X(-2)X(-2)

=-8

Answer:

cos(2π/35)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Pre-Calculus

Step-by-step explanation:

Step 1: Define

Identify

cos(π/5)cos(π/7) + sin(π/5)sin(π/7)

Step 2: Simplify

Using the .01 level of significance means that, in the long run, a Type I error occurs 1 time in 100. This means that if we perform a statistical test 100 times, and we set the level of significance at .01, then we can expect to observe one false positive result due to chance alone. So, the correct option is 1).

A Type I error occurs when we reject a true null hypothesis, or when we conclude that there is a significant difference or relationship between two variables when in fact there is not.

By setting the level of significance at .01, we are minimizing the risk of making a Type I error while increasing the risk of making a Type II error, which occurs when we fail to reject a false null hypothesis. So, the correct answer is 1).

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The main  Miguel's statement about rotating, reflecting, or translating a trapezoid to produce another trapezoid resulting in two similar trapezoids is correct.

However, his statement about dilating a trapezoid to produce another trapezoid resulting in two similar trapezoids is incorrect.


Similar figures have the same shape but not necessarily the same size. When a trapezoid is rotated, reflected, or translated, its angles and sides remain the same, and therefore, the resulting trapezoid is similar to the original.

On the other hand, when a trapezoid is dilated, its sides are stretched or shrunk by a scale factor, which changes the ratios of the sides and angles, making the resulting trapezoid not similar to the original.

Therefore, Miguel's statement about rotating, reflecting, or translating a trapezoid to produce another trapezoid resulting in two similar trapezoids is correct, while his statement about dilating a trapezoid to produce another trapezoid resulting in two similar trapezoids is incorrect.

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a. The truck rental cost when you drive 85 miles is  $85.7.

b. The number of miles driven when the cost is $65.96 is 0.42x.

a. To find the truck rental cost when driving 85 miles, we can substitute the value of x into the given function.

f(x) = 0.42x + 50

Substituting x = 85:

f(85) = 0.42(85) + 50

= 35.7 + 50

= 85.7

Therefore, the truck rental cost when driving 85 miles is $85.70.

b. To determine the number of miles driven when the cost is $65.96, we can set up an equation using the given function.

f(x) = 0.42x + 50

Substituting f(x) = 65.96:

65.96 = 0.42x + 50

Subtracting 50 from both sides:

65.96 - 50 = 0.42x

15.96 = 0.42x

To isolate x, we divide both sides by 0.42:

15.96 / 0.42 = x

38 = x

Therefore, the number of miles driven when the cost is $65.96 is 38 miles.

In summary, when driving 85 miles, the truck rental cost is $85.70, and when the cost is $65.96, the number of miles driven is 38 miles.

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By using the vertex of the quadratic equation, we will get the equation:

y = -2*(x + 6)^2

For a quadratic equation with a leading coefficient "A" and a vertex (h, k), the equation can be written as:

y = A*(x - h)^2 + k

Here we can see that the vertex is (-6, 0), so we have:

y = A*(x + 6)^2

We also can see that the parabola passes through the point (-4, -8), replacing these values above we will get:

-8 = A*(-4 + 6)^2

-8 = A*(2)^2

-8 = 4A

-8/4 = A

-2 = A

Then the quadratic equation is:

y = -2*(x + 6)^2

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