What number is 110% of 17?

Answer:

$ 53,333.33

Step-by-step explanation:

The formula for simple interest is I = PRT. So, we are trying to solve for P(original investment). To do this, we get the formula P = I / RT. This is the formula we will be using.

Work:

First, converting R percent to r a decimalr = R/100 = 5%/100 = 0.05 per year,putting time into years for simplicity,18 months ÷ 12 months/year = 1.5 years,then, solving our equation

P = 4000 / ( 0.05 × 1.5 ) = 53333.333333333

P = $ 53,333.33

Answer: 1296 square inches

Step-by-step explanation:

1 square yard is 36 times 36 square inches

36 times 36 is 1296 square inches

Step-by-step explanation:

the slope of a line or linear equation is always the factor of the driving variable.

usually in the form of

y = ax + b

x is the variable, and a the slope.

but in our case the variable is called "n".

it does not matter, the same principle applies.

the slope is the factor of n : 1050.

and as the slope is always the ratio y/x, we are looking for a fraction form, and that would be 1050/1.

so, the third answer is correct.

Answer:

Everything is in the picture

The value of f(g(x)) in the form a + bxⁿ is 1 -5x⁻². Where a = 1, b = -5 and n = -2

From the question, we are to determine the value of f(g(x)) in the form a + bxⁿ

From the given information,

[tex]f(x) = \frac{x}{x+5}[/tex]

and

[tex]g(x) = x^{2} -5[/tex]

Then,

[tex]f(g(x)) = \frac{(x^{2} -5)}{(x^{2} -5) +5}[/tex]

∴ [tex]f(g(x)) = \frac{x^{2} -5}{x^{2} }[/tex]

Simplifying

[tex]f(g(x)) = \frac{x^{2} }{x^{2} } -\frac{5}{x^{2}}[/tex]

[tex]f(g(x)) = 1 -\frac{5}{x^{2}}[/tex]

[tex]f(g(x)) = 1 -5x^{-2}[/tex]

Hence, the value of f(g(x)) in the form a + bxⁿ is 1 -5x⁻². Where a = 1, b = -5 and n = -2.

Learn more on Determining the value of a function here: https://brainly.com/question/2142762

#SPJ1

First one is B second one is B last one is C

Answer:

  x = 2

Step-by-step explanation:

The two points have the same x-coordinates, so lie on the same vertical line:

  x = 2

Answer:

7

Step-by-step explanation:

The sides are in proportion.

Answer:

7

Step-by-step explanation:

Given,

△ABC ~ △DEF

( ~ means similar )

To find : missing side length

Similar triangle rule : -

If two triangles are similar, their corresponding sides are similar.

So,

AB ~ DE

BC ~ EF

AC ~ DF

Let the missing side length ( DF ) be " x ".

Note : -

When the corresponding sides are divided, their ratios will be same.

That is,

AB / DE

= 20 / 4

= 5 / 1

= 5 : 1

BC / EF

= 40 / 8

= 5 / 1

= 5 : 1

AC / DF should also be equal to 5 : 1.

AC / DF = 5 : 1

35 / x = 5 / 1

Cross multiply,

x * 5 = 35 * 1

5x = 35

Divide 5 on both sides,

x = 35 / 5

x = 7

Therefore,

the missing side length is 7.

When the ball hits the ground,

h=0

vt�16t^2=0

64t-16t^2=0..

t(64-16t)=0

t=0 (reject, not reasonable)

or

64-16t=0

16t=64

t=64/16=4

How long will it take for the ball to hit the ground? 4 seconds

Answer:

It is a cluster from $1.00 to $7.00 and

has no gaps.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

Soln.

Given that we have proven:AB =CD and BC=DA

we will be said that the A and C is the angle of 90° and we will add the letters to get the results so let's started the A+90°+ 90°+ B+C+ D=90°

A+180°+B+C+D

180°+90°

=270°

y = Acos(Bx) + D;

D = 4, A = 2. Now T = 2π/B = 5π/8, B = 2π/(5π/8) = 16/5

WE get y = 2cos(16/5x) + 4

Answer:

20 g/cm³

Step-by-step explanation:

mass = 180g

volume = 9 cm³

density =mass/volume

=180/9= 20 g/cm³

Answer:

B

Step-by-step explanation:

Median value = 14    ( the number in the middle of the ascending-order list)

2 quartile   25% are below 11

3 quartile    25% are above 18

min 9       max = 20

Answer:

i think it's b

Step-by-step explanation:

Answer:

2/9 or 9/2

Step-by-step explanation:

The original figure is 2/9 of the size of the rescaled version, as each measurement is 2/9 of the rescaled version (eg 10/45 = 2/9)

If they want you to tell them how much bigger the rescaled version is, the answer would be 9/2 for the same reason, I'm just not sure which way they want you to go.

Hope this helps! :)

Answer:

The perimeter of the rhombus is 20 units

Step-by-step explanation:

One important fact about a rhombus is that all four of its sides are equal, so we only need to solve for one side in order to find the perimeter. We can use the Pythagorean Theorem to solve the side length of the rhombus. Using line AD as a reference, we know that the length of AD is the square root of the change in x squared plus the change in y squared, or [tex]\sqrt{3^{2}+4^{2} } =\sqrt{9+16} =\sqrt{25}=5[/tex] units. Multiply the length of AD by 4 and you'll get that the perimeter of rhombus ABCD is 5 × 4 = 20 un.

The perimeter of the rhombus ABCD is 20 units.

Option B is the correct answer.

A rhombus is a quadrilateral that has four equal sides.

Some of the properties we need to know are:

- The opposite sides are parallel to each other.

- The opposite angles are equal.

- The adjacent angles add upto 180 degrees.

We have,

We can use the distance formula to find the length of each side of the rhombus, and then add them up to find the perimeter.

The distance between points A and B is:

[tex]AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\= \sqrt{(-2 - 1)^2 + (-3 - 1)^2}\\ = \sqrt{9 + 16}\\= \sqrt(25) \\= 5[/tex]

The distance between points B and C is:

[tex]BC = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\\= \sqrt{(-5 - (-2))^2 + (1 - (-3))^2}\\ = \sqrt{9 + 16}\\= \sqrt{25}\\= 5[/tex]

The distance between points C and D is:

[tex]CD = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\\ = \sqrt{(-2 - (-5))^2 + (5 - 1)^2}\\ = \sqrt{9 + 16}\\ = \sqrt{25}\\ = 5[/tex]

The distance between points D and A is:

[tex]DA = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}\\ = \sqrt{(1 - (-2))^2 + (1 - 5)^2}\\ = \sqrt{9 + 16}\\= \sqrt{25}\\ = 5[/tex]

Since a rhombus has all sides of equal length, we can add up the lengths of the sides to find the perimeter:

P = AB + BC + CD + DA = 5 + 5 + 5 + 5 = 20

Therefore,

The perimeter of the rhombus ABCD is 20 units.

Learn more about rhombus here:

https://brainly.com/question/27870968

#SPJ7

Answer:

C. 21 1/9

Step-by-step explanation:

6 1/3 cups / 0.3 cups in a serving = 21.11111... or 21 1/9

Answer

0.823742

Step-by-step explanation:

just a genius

Answer:

The complete list of factors for 805 are 1, 5, 7, 23, 35, 115, 161, and 805.

Step-by-step explanation:

A factor pair is a combination of two factors which can be multiplied together to equal 805. In proper math terms, the number 805 is called the product and the two numbers that can be multiplied together to equal it are called the factors.

In order to work out the factor pairs of 805 we need to first get all of the factors of 805. Once you have the list of all those factors we can pair them together to list out all of the factor pairs.

The complete list of factors for 805 are 1, 5, 7, 23, 35, 115, 161, and 805.

Answer:

(x-3) (x-3)

Step-by-step explanation:

[tex]4x {}^{2} - 24x + 36 \\ dividing \: through \: by \: 4 \\ x {}^{2} - 6x { }^{} + 9 \\ two \: numbers \: such \: that \: when \: you \: add \: them \: they \: give \: you \: - 6 \: and \: when \: you \: multiply \: them \: they \: give \: 9 \\ the \: numbers \: are \: \: - 3 \: and \: - 3 \\ x {}^{2} - 3x - 3x + 9 \\ x( x - 3) - 3(x - 3) \\ (x - 3)(x - 3)[/tex]

The third graph from the figure represents the exponential function f(x) = 3ˣ, since the function contains the point (x, y) = (5, 243) on the cartesian plane.

In this question we must compare a given exponential function with a set formed by four functions. As the function is crescent and monotonous, then  we can choose the correct graph by a evaluating the function for a given x-value and find the graph that matches with such finding:

f(5) = 3⁵

f(5) = 243

The third graph from the figure represents the exponential function f(x) = 3ˣ, since the function contains the point (x, y) = (5, 243) on the cartesian plane.

To learn more on exponential functions: https://brainly.com/question/14355665

#SPJ1

Answer:

lol

Step-by-step explanation:

Answer:

3. (3, 6)
4. (3, 7)
5. (3, 36)

Step-by-step explanation:

These are slope functions, so there's is no definite answer for x as it tells you to solve when x is 3. So put simply lets do that. Knowing that x is now 3, we can solve for all the functions. This will give you y, which is f(x) which just tells you the equations represents a function or slope on a graph. All these equations create lines. Solving for question 3, 3 + 3 is 6, so f(x) = 6, and the answer is (3, 6). For 4, you do 3 x 3 - 2, which is 9 - 2 = 7. So (3, 7). So on and so forth.

Answer:

84 degrees

Step-by-step explanation:

180-96=84

The number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Dots sells T-shirts ($5) and shorts ($9).

Let suppose the number of T-shirts sold is x and shorts sold is y. Dots sells T-shirts ($5) and shorts ($9) with total sales of $570. Thus,

[tex]5x+9y=570[/tex]

Solve it further,

[tex]5x+9y=570\\9y=570-5x\\y=\dfrac{570-5x}{9}[/tex]                  ....1

People bought 2 times as many T-shirts as shorts. Thus,

[tex]x=2y[/tex]                          ....1

Put the value of y form equation in this equation as,

[tex]x=2\times\dfrac{570-5x}{9}\\9x=1140-10x\\10x+9x=1140\\x=\dfrac{1140}{19}\\x=60[/tex]

Put this value of x in equation 2 as,

[tex]x=2\times y\\60=2\times y\\y=\dfrac{60}{2}\\y=30[/tex]

Thus, the number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.

Learn more about the system of equations here;

https://brainly.com/question/13729904

#SPJ1

Answer:

x = 50°

Step-by-step explanation:

Let's make 2 equations based on the properties of the triangles :

Applying Exterior Angle Property :

Divide equation 1 by 2 :

⇒ 1/2 (x + 2∠1) = 1/2 x (2∠2)

⇒ x/2 + ∠1 = ∠2

⇒ ∠2 - ∠1 = x/2

Similarly, rewrite equation 2 :

⇒ ∠1 + 25 = ∠2

⇒ ∠2 - ∠1 = 25

From these 2 equations, we get :

⇒ x/2 = 25

⇒ x = 25 × 2

⇒ x = 50°

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's consider the figure with two triangles,

Angle b is divided into two equal parts :

and similarly

Exterior angle C is divided into two equal parts :

Now, according to exterior Angle property :

In Triangle ABC

[tex]\qquad \sf  \dashrightarrow \:2y + x = 2z \: \: \: \: [/tex]

[tex]\qquad \sf  \dashrightarrow \: 2z - 2y = x \: \: \: \: [/tex]

[tex]\qquad \sf  \dashrightarrow \:2(z - y) = x[/tex]

[tex]\qquad \sf  \dashrightarrow \:z - y = \dfrac{x}{2} \: \: \: \: \: \: \: - (1)[/tex]

and in Triangle BDC

[tex]\qquad \sf  \dashrightarrow \:y + 25 = z \: \: \: \: \: \: \: [/tex]

[tex]\qquad \sf  \dashrightarrow \:z - y = 25 \: \: \: \: \: \: \: - (2)[/tex]

equate equation (1) and (2) :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{x}{2} = 25[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}{} = 25 \times 2[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}{} = 50 \degree[/tex]

Answer:

Step-by-step explanation:

→Perimeter (P)  = 2×(L+W)              Perimeter = 48m

But Length = 2 × Width

∴ P = 2×( 2W + W)

       = 2×(3W)

  48 = 6W

Divide both sides by 6

          [tex]\frac{48}{6}[/tex] = [tex]\frac{6}{6}[/tex] W

∴Width (W) = 8m  

→This means Length = 2W

                                = 2×8m

                             L = 16m

→Area of a rectangle = L × W

                               = 8m × 16m

     ∴ Area of the rectangular field= [tex]128m^{2}[/tex]                  

Answer:

B. g(x) = (x + 2)²

Step-by-step explanation:

We got the graph of g by translating the graph of the parent function

f(x) = x² two units to the left

Therefore the equation of the graph of g is (x + 2)²

An expression is defined as a set of numbers, variables, and mathematical operations. The simplification of the given expression 9 + (2×24) is 57.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The prime factorization of the expression can be done as,

9 + (2×24)

= (3×3) + (2×2×2×2×3)

= 3 [3+(2×2×2×2)]

= 3 [3 + 16]

= 3 (19)

= 57

Hence, the simplification of the given expression 9 + (2×24) is 57.

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ1