What is the value of x?
Enter your answer in the box.
X =??

Answer:

A

Step-by-step explanation:

First off, "A" is the only one that even has "x cubed minus one" in it.  The y squared divided by twenty-four is also present.

Answer:

A new bank customer with

P = $ 5000

The bank is offering a simple interes rate

r = 1.9%

a) how much interes will the customer earn in 10 years

A = P(1 + rt)

t = 10 years

Calculation:

First, converting R percent to r a decimal

r = R/100 = 1.9%/100 = 0.019 per year.

Solving our equation:

A = 5000(1 + (0.019 × 10)) = 5950

A = $5,950.00

I = A - P = $950.00

b) After 10 years the account balance will be

The total amount accrued, principal plus interest, from simple interest on a principal of $5,000.00 at a rate of 1.9% per year for 10 years is $5,950.00.

Step-by-step explanation:

Joseph left 469 ounces of candy, according to the given question.

What do you mean by candy?

A sugar-based confection that frequently contains filling and flavoring: a slice of such a confection is called candy. Something that has a lighthearted or frivolous appeal and visual delights.

According to data in the given question,

We have:

Total ounces of candy = 714

Number of candy he shared = 245

Now, we need to determine the candy he has left,

= Total number of candy - Number of shared candy

= 714 - 245

= 469

Therefore, he left 469 ounces of candy.

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The standard equation for the circle with center (14,-48) and radius of 50

is [tex](x-14)^{2} +(y+48)^{2} =2500[/tex]

Standard form: [tex](x-h)^{2} +(y-k)^{2} =r^{2}[/tex]

Given, h =14, k = -48 and r = 50

therefore, The standard equation for the circle with center (14,-48) and radius of 50

is [tex](x-14)^{2} +(y+48)^{2} =2500[/tex]

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Answer:

$19.00

Step-by-step explanation:

The equation of the straight line in slope-intercept form is given by

y = -x +6 .

The line of the graph is clearly passing through the points (5,1) and (3,3) .

Hence the slope of the line = (3 - 1) / (3 - 5) = 2 / (-2) = -1

The equation of the straight line will be given by the formula:

y-3 = -1 (x-3)

or, y - 3 = -x +3

or, y + x = 6

One of the most popular ways to display a line's equation is in the slope intercept form, which looks like a straight line.

When the slope of anything like the straight line and in fact the y-intercept are known, the slope intercept formula can be used to determine the equation of a line the y-coordinate of the point where the line crosses the y-axis. A line cannot exist unless every point on the line fulfils an equation.

Hence the equation of the line in slope intercept form is y = -x +6

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Answer:

RT

Step-by-step explanation:

Hypotenuse is the greatest and since it is obtuse, it will be even longer.

Answer:

RT is the longest segment.

Step-by-step explanation:

If Angle S is 92°, then AngleR and AngleT are both acute angles. So AngleS is the biggest angle, so the side opposite AngleS is the biggest side. RT is the side opposite from AngleS. RT is the biggest side.

The mean of the given set of group numbers is 6.6

Given,

In the question:

The Group of numbers are as follows:

6.1, 5.9, 4.2, 5.9 and 10.7

To find the mean of the given set of group of numbers.

Now, According to the question:

Given is the following data:

6.1, 5.9, 4.2, 5.9 and 10.7

We can find the mean of the given set of data using the formula-

Mean (M) = Σ a[i]/n = (Sum of all the elements)/(total number of elements)

Now, n = 5

and Σ a[i] = 6.1 + 5.9 + 4.2+ 5.9 + 10.7 = 32.8

Putting the values in the formula, we get:

M = 32.8/5 = 6.56 = 6.6

Hence, The mean of the given set of group numbers is 6.6

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Answer:

  perimeter = 16 ft

Step-by-step explanation:

You want the perimeter of an isosceles triangle with side length 5 ft and altitude 4 ft.

The side lengths being equal mean the triangle is isosceles. That also means altitude PS bisects the peak angle and segment QR. Once we find the length QS using the Pythagorean theorem, we can double that measure to find QR.

The Pythagorean theorem tells us ...

  QS² +PS² = QP²

  QS² +(4 ft)² = (5 ft)²

  QS² = (25 ft²) -(16 ft²) = 9 ft² . . . . . evaluate squares, subtract 16 ft²

  QS = √(9 ft²) = 3 ft

Now we know the base length is ...

  QR = 2·QS = 2(3 ft) = 6 ft

The perimeter is the sum of the outside edge lengths:

  Perimeter = PQ +QR +RP

  Perimeter = (5 ft) +(6 ft) +(5 ft) = 16 ft

The perimeter of ∆PQR is 16 feet.

__

Additional comment

With some practice, you can learn to recognize a 3-4-5 right triangle. That is the triangle used here for each of the right triangles that make up ∆PQR. Once you identify the long side as 4 and the hypotenuse as 5, you know immediately the short side is 3.

The set {3, 4, 5} is called a "Pythagorean triple." Other triples commonly seen in high school problems are {5, 12, 13}, {7, 24, 25}, {8, 15, 17}. Legs of these lengths form a right triangle. Knowing any two (or their ratio) tells you immediately the value of the third. Of course, these triples can be scaled by any factor. (3, 4, 5) scaled by 2 is (6, 8, 10), another commonly seen triple.

There are no isosceles right triangles that have integer values for both the legs and the hypotenuse. If the legs are both 4, the hypotenuse will be 4√2 ≈ 5.657... (an irrational number), not 5.

The length of the diagonal is between 4 and 5.

What is square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Given that;

The length of the diagonal = √18

Now,

Since, The length of the diagonal = √18

And,  √18 = 4.24

Thus, The number 4.24 is lies between two whole numbers 4 and 5 as;

⇒ 4 < 4.24 < 5

⇒ 4 < √18 < 5

⇒ √16 < √18 < √25

Thus, The length of the diagonal is between 4 and 5.

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Answer:

x= -16/11

Step-by-step explanation:

hope this helps

Answer: x=4

Step-by-step explanation:

28 divided by x+4=11

28 divided by x=7

28/7=4

The following are three equivalent expressions for the submarine's final position -(5)(3) - (2)(4), -(5)(3) + (-2)(4) and -(5)(3) + (2)(-4)

What is defined as the equivalent expressions?

Each float advances by 5 units.

Each group takes a two-unit step.

As a result, the submarine's final position is:

Final = -(5)(3) - (2)(4)

The minus "-" symbol indicates that the submarine is sinking.

Thus, the following are equivalent expressions for the submarine's final position:

-(5)(3) - (2)(4), -(5)(3) + (-2)(4) and -(5)(3) + (2)(-4)

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Answer: 4 an 34

Step-by-step explanation:

Answer:

y = -1/4(x-1)

Step-by-step explanation:

y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])  From the point given [tex]y_{1}[/tex] = 0 and [tex]x_{1}[/tex] = 1

m = slope -1/4  Plug these in and get

y - 0 = -1/4(x - 1)       y-0 is just y

The length of AD is 8.58 units

Here triangle CDE and triangle CAB are similar triangles.

We know that the corresponding sides of similar triangles are in proportion.

CD/CA = CE / CB = DE/AB

Consider, CD/CA = DE/AB

15/(15 + x) = 7/11

15 * 11 = 7 * (15 + x)

165 = 105 + 7x

7x = 165 - 105

7x = 60

x = 8.58 units

Therefore, the length of AD is 8.58 units

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Answer:

12

Step-by-step explanation:

You could think of ratios as fractions :

Whatever we do to the top we must do to the bottom to keep it equivalent .

If we multiply the first thing by something we must do the multiply by the same number to the second.

2 × m = 8

m = 4

3 × m = ?

m = 4

3 × 4 = 12

? = 12

So the number that makes the ratio equivalent is 12

2:3 = 8:12

Hope this helped and have a good day

The workers would need 3.71 weeks to repair the road.

A generalization of arithmetic in which letters representing numbers are combined using arithmetic rules

Given that the total length of the road is 13km. Workers can repair 3.50 roads per week.

To determine the number of weeks required to repair the road, divide the total by per week. The equation would be:

13 ÷ 3.5

= (13 x 10)/35

= 130/ 35

= 3.71

Therefore the workers would need 3.71 weeks to repair the road.

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Answer:

$16.30

Step-by-step explanation:

15.99-15%=$13.59

13.59x1.20=$16.30

The given line is positive.

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

Given that,

The line is crossing the origin and is in the 1 quadrant and 3 quadrant.

This means, the graph of the line starts at the bottom left and goes towards the top right.

If a line has a positive slope, then y always rises when x rises and always falls when x falls (i.e., m > 0). The line's graph thus begins at the bottom left and moves up to the top right.

So, the given line is positive.

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A group of friends were working on a student film. The money did they spend on props is $495.

percentage :

budget of group working on a student film = $1100

They used percentage of their budget on props. = 45%

then money spend on props is calculated as :

= 45% of 1100

= (45/100) x 1100

= 45 x 11

= $495

A group of friends were working on a student film. The money did they spend on props is $495.

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Answer:

66

Step-by-step explanation:

Answer: (3/4c*d*d)

Step-by-step explanation:

First, get rid of the denominator by multiplying the numerator by it.

so d*d*d*4c*.

Then now its 3d/d*d*d*4c, you can eliminate a d from the numerator and denominator, and now it's (3/4c*d*d)

Answer: its 4.06

Step-by-step explanation:

The three fractions between 4/5 and 4/6 are 49/30, 73/30 and 69/30

A fraction represents a part of a whole.

We need to find fractions between 4/5 and 4/6

LCD is 30

4×6/30 + 5×5/30

24/30 + 25/30 = 49/30

The fraction between 4/5 and 49/30

4/5+49/30

LCD of 5 and 30

24+49/30

73/30

The fraction between 49/30 and 4/6

49/30+4/6

49+20/30

69/30

Hence the three fractions between 4/5 and 4/6 are 49/30, 73/30 and 69/30

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The irrigation system is positioned 9.5 feet

The spray reaches a maximum height of 34.5 feet

The spray reaches all the way to the ground at about 10.87 feet

How to find the maximum height of the spray

The standard form of a quadratic equation is given by the formula

y = ax^2 + bx + c

compared with the given equation h(x) = −x^2 + 10x + 9.5 the solutions are calculated as follows

The irrigation position refers to the value of h(x) at x = 0

h(x) = −x^2 + 10x + 9.5

h(0) = 0^2 + 10*0 + 9.5

= 9.5

The maximum height is at the symmetry of the parabolic curve, for a curve opening downward.

At the symmetry x = -b/2a

x = -b/2a = -10/(2 * -1) = 5, At x = 5, then y is

h(5) = −(5)^2 + 10 * 5 + 9.5 = 34.5

The maximum horizontal distance is at one of the roots solved as

h(x) = −x^2 + 10x + 9.5

x = 10.87 OR -0.87

The maximum distance is the greatest distance form the origin (0, 0). Therefore maximum distance is at x = 10.87 feet

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complete question

An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation h(x) = -x^2+10x+7.5 where x is the number of feet away from the sprinkler head (along the ground) the spray is.

The irrigation system is positioned____ feet above the ground to start.

The spray reaches a maximum height of ____feet at a horizontal distance of feet away from the sprinkler head.

The spray reaches all the way to the ground at about_____ feet away

Answer:

Step-by-step explanation:   57.183= to the whole number= 58.183

Tenth= 57.180

Hundredth= 57.200

Answer:

Nearest Whole Number: 57

Nearest Tenth: 57.2

Nearest Hundredth: 57.18

*Note: When rounding to a place value the number after the place value you want determines whether the place value number says the same or goes up by 1. In order for the place value number to stay the same the number after has to be less than 5 and in order for the place value number to go up by 1 the number after has to be greater than or equal to 5.

By using angles properties (sum of interior angles of a triangle and so) we will see that the measure of angle x is 120°.

Let's define C as the angle inside the triangle that is adjacent to angle x.

We can see that these two are supplementary angles, then we know that:

C + x = 180°.

We also can see that C is an interior angle of a triangle, and remember that the sum of all interior angles of a triangle is equal to 180°, then we can write

68° + 52° + C = 180°

With that equation, we can find the value of C.

C = 180° - 52° - 68° = 60°

Then.

x + C = 180°

x + 60° = 180°

x = 180° - 60° = 120°

That is the measure of angle x.

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