A square has a perimeter of 24cm. What is the length of each side?

The distance that Kelli can swim will be about 6.11 kilometers per hour.

Here is the complete question:

Solve the equation x – 5 = 0.1(x + 5) for x. Round your answer to the nearest hundredth. Kelli can swim about km/hour.

To solve for x, you need to follow SADMEP. SADMEP is subtraction, addition, division, multiplication, exponents, and parentheses.

It follows the same rules as PEMDAS, but SADMEP is only used when solving algebraic equations.

x - 5 = 0.1(x + 5) (use the distributive property)

x - 5 = 0.1x + 0.5 (subtract 0.1x to both sides)

0.9x - 5 = 0.5 (add 5 to both sides)

0.9x = 5.5 (divide both sides by 0.9)

x = 6.11 km/hour.

Therefore, Kelli can swim about 6.11 kilometers per hour.

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Answer:

It's the first one for upstream and the other one for downstream

Step-by-step explanation:

Answer:

(1,0)

Step-by-step explanation:

Since log (x+y) = 0        you should know  x+y = 1

                                            so y = (1-x)

then   2 logx = log (y+1)

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

                x^2 = 2-x

                 x^2 + x-2 = 0

                 (x+2)(x-1) = 0      so x = -2  or   +1

                                               then y = 3  or 0

-2,3    and   1,0       since you cannot have a log of a negative number

                                     the only answer is (1,0)  

Answer:

Monomial - one term
Binomial - two terms
Trinomial - three terms
Polynomial - any polynomial with more than three terms

Brainliest, please :)

The ratio of circle to triangles is; 3:4 and the number of circles which should be added to make the ratio 1:1 is; 3.

It follows from the task content that the total number of circles and triangles in all 4 rows and can be counted and concluded as; 9 and 12 respectively.

Hence, the ratio of circles to triangles is 9 to 12 and in its simplest form is; 3:4.

However, to make the ratio 1:1, the number of circles and triangles must be equal. Hence, 3 circles must be added to make the ratio 1:1.

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Based on the Congruent Supplements Theorem, <1 = <3 are congruent, given that <1 and <2 and <2 and <3 are supplements.

The Congruent Supplements Theorem shows that when two angles are considered to be supplements of a certain angle, then those two angles must be congruent.

Filling in the chart would therefore be:

<1 and <2 are

supplementary                                               <1 = <3

GIVEN                                           Congruent Supplements Theorem

<2 and <3 are

supplementary

GIVEN

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The value of x = -3/2 .

An equation is a mathematical statement that relates unknown variable to constants to determine their value.

The equation given is

(2x+3 ) / 7 Divided by 1 = 0

2x +3 = 0

2x = -3

x = -3/2

Therefore the value of x = -3/2 .

The complete equation is

(2x+3)/7

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Answer:

[tex]\displaystyle \frac{\pi}{6}[/tex]

Explanation:

According to the unit circle, [tex]\displaystyle \frac{\pi}{3}[/tex] and [tex]\displaystyle \frac{\pi}{6}[/tex] are the radian measures you are looking for because all y-coordinates are associated with the sine function, so when evaluating, you will arrive at this:

[tex]\displaystyle \boxed{\frac{\pi}{3}} = \frac{\pi}{3} - \frac{\pi}{6}[/tex]

I am joyous to assist you at any time.

The average rate, in miles per hour, of the rail portion of the trip is; D: 75

Since exactly 1/3 of the distance travelled was by rail, then we can say that;

(1/3) * (90) = 30 miles

We are told that part of the trip took 1/5 of the travel time. Thus;

Time it takes to travel that distance is:

(1/5) * (2) = 2/5 of an hour

Average rate is;

30/(2/5) = 150/2 = 75 mph

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Answer:

10.  Left 5

11.   Horizontal stretch by a factor of 5

12.  Horizontal reflection

Step-by-step explanation:

Transformations of Graphs (functions) is the process by which a function is moved or resized to produce a variation of the original (parent) function.

Transformations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]

Identify the transformations that take the parent function to the given function.

Question 10

[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]

[tex]\textsf{Given function}: \quad f(x)=(x+5)^3[/tex]

Comparing the parent function with the given function, we can see that 5 has been added to the x-value of the parent function.

Therefore, the transformation is:

[tex]f(x+5) \implies f(x) \: \textsf{translated}\:5\:\textsf{units left}[/tex]

Question 11

[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]

[tex]\textsf{Given function}: \quad f(x)=\left(\dfrac{1}{5}x\right)^3[/tex]

Comparing the parent function with the given function, we can see that the x-value of the parent function has been multiplied by ¹/₅.

Therefore, the transformation is:

[tex]y=f\left(\dfrac{1}{5}x\right) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{\frac{1}{5}}[/tex][tex]\textsf{As }\dfrac{1}{\frac{1}{5}}=5 \implies \textsf{horizontal stretch by a factor of 5}[/tex]

Question 12

[tex]\textsf{Parent function}: \quad f(x)=x^3[/tex]

[tex]\textsf{Given function}: \quad f(x)=(-x)^3[/tex]

Comparing the parent function with the given function, we can see that the x-value of the parent function has been multiplied by -1.

Therefore, the transformation is:

[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]

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Using the given exponential function, the age of the skull is 6,733 years old.

It is given by:

[tex]N(t) = N(0)e^{-kt}[/tex]

In which:

In this problem, the parameters are given as follows:

N(t) = 0.51N(0), k = 0.0001.

Hence we solve for t to find the age.

[tex]N(t) = N(0)e^{-kt}[/tex]

[tex]0.51N(0) = N(0)e^{-0.0001t}[/tex]

[tex]e^{-0.0001t} = 0.51[/tex]

[tex]\ln{e^{-0.0001t}} = \ln{0.51}[/tex]

[tex]-0.0001t = \ln{0.51}[/tex]

[tex]t = -\frac{\ln{0.51}}{0.0001}[/tex]

t = 6,733 years old.

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Answer:

2

Step-by-step explanation:

- 4m + 5 = 3m - 9

3m - 9 = 5 - 4m

3m + 4m = 5 + 9

7m = 14

m = 14 / 7

m = 2

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

What type of number is [tex]\bf{\sqrt 5}?[/tex] Select all that apply

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

Let's start by taking a look at all the four sets of numbers.

The set is shown above. To be honest, this is an infinitely small part of the number set; the whole number set would take FOREVER to type ;)

Wow, this set starts at negative infinity and ends at positive infinity!

This set consists of all integers, decimals, and fractions.

That's where the desired number [tex]\bf{\sqrt{5}}[/tex] belongs!

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

                 [tex]\bf{=The\;fourth\;option}[/tex]

[tex]\LARGE\boxed{\bf{aesthetics \not1\theta l}}[/tex]

∞

Answer:

(2^3t•2^t)/16 isn't a not equivalent

The value of x in the right triangle is 4 units.

The side x of the right triangle can be found using trigonometric ratios.

Therefore,

sin 30° = opposite / hypotenuse

sin 30 = x / 8

1 / 2 = x  /8

cross multiply

8 = 2x

divide both sides by 2

8 / 2 = 2x / 2

x = 4

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The original value of the piece of equipment is 700000

The resale value is given as:

V=700,000e^(-0.02t)

The original value is when t = 0.

So, we have:

V=700,000e^(-0.02 *0)

Evaluate the product

V=700,000e^0

This gives

V=700,000 * 1

Evaluate

V=700000

Hence, the original value of the piece of equipment is 700000

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Answer:

I would like to use lb if that's ok

Answer is underlined

BD: 16.8+50.4= 67.2 mm

LM: 4-2.6= 1.4 cm

Answer: Option (1)

Step-by-step explanation:

The line y = 2x is shaded above and is dotted, so it represents [tex]y > 2x[/tex].

This eliminates all the options except for option (1).

The graph of a system of inequalities is shown. The following system of inequations represents the graph:

y ≥ 2x;

x + 2y ≤ -8:

Inequality refers to a condition in which there's a lack of equivalency or aesthetics, frequently panning out in disparities or differences in chances, resources, treatment, or outcomes among individuals, groups, or associations. It encompasses various forms, including economic inequality, colonial inequality, and political inequality.

The blue region is on the left of the blue line of equation y = 2x so the region is represented by the line y ≥ 2x. The equality holds in this inequality as the region also includes the origin (0, 0).

The second option only has the inequality y ≥ 2x in its system of inequalities.

So, the correct answer is the second one. The system of inequation is

y ≥ 2x;

x + 2y ≤ -8:

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I think it is 49123.52

Step-by-step explanation:

Answer:

394.13cm²

Step-by-step explanation:

Formula: The area of a circle is found by A = πr²

Given:

Plug in:

A = πr² → A = (3.142)(11.2)²

            → A = (3.142)(125.44)

            → A = 394.13248

"2 decimal places",  round up to 394.13

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Answer:

the law of cosines with ABC

Limit, can be defined as the every nearby  the value of a variable for a function exists, is called limits|

⇒ [tex]\lim_{h \to0 \zero} 46x^11+32xh^3+6x^15h+23[/tex]

When putting  h = 0

⇒  [tex]46x^11+23[/tex]

Thus, the value of a function of its limit is given by [tex]46x^11+23[/tex]

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By the corresponding angles theorem,

Thus, triangles AFD, BGD, and CHD are similar by AA.

Given the figure, triangles AFD, BGD, CGD are similar by Angle-Angle-Angle (AAA) criterion for the similarity.

The Angle-Angle-Angle (AAA) criterion for the similarity of triangles states that “If in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion) and hence the two triangles are similar”.

In the given question,

∠F = ∠G = ∠H = 90°

Let ∠D = x°

In triangle CHD,

∠H = 90°

∠D = x°

∠C = 180 - 90 - x = (90-x)°

In triangle BGD,

∠G = 90°

∠D = x°

∠B = 180 - 90 - x = (90-x)°

In triangle AFD,

∠F = 90°

∠D = x°

∠A = 180 - 90 - x = (90-x)°

In triangle AFD and BGD and CHD,

∠A = ∠B  = ∠C

∠F = ∠G = ∠H

∠D = ∠D =∠D

triangle AFD and BGD and CHD are similar.

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The coefficients [tex]a_0,a_1,a_2,a_3[/tex] could be chosen to be the coefficients in the Maclaurin series of [tex]\sin(x)[/tex].

We have

[tex]y = \sin(x) \approx a_0 + a_1 x + a_2 x^2 + a_3 x^3 \\\\ \implies y(0) = 0 = a_0[/tex]

[tex]y' = \cos(x) \approx a_1 + 2a_2 x + 3a_3 x^2 \\\\ \implies y'(0) = 1 = a_1[/tex]

[tex]y'' = -\sin(x) \approx 2a_2 + 6a_3 x \\\\ \implies y''(0) = 0 = 2a_2[/tex]

[tex]y''' = -\cos(x) \approx 6a_3 \\\\ \implies y'''(0) = -1 = 6a_3[/tex]

It follows that [tex]a_0=0[/tex], [tex]a_1=1[/tex], [tex]a_2=0[/tex], and [tex]a_3 = -\frac16[/tex].

Answer:

edge 2023

Step-by-step explanation:

A D E (dudes above me right js making it easier)

[tex]\angle R[/tex] and [tex]\angle S[/tex] are supplementary by the same-side interior angles theorem, and [tex]\angle S \cong \angle T[/tex] because of the properties of an isosceles trapezoid, meaning that [tex]\angle R[/tex] and [tex]\angle T[/tex] are supplementary.

[tex]4x+11+2x-5=180\\\\6x+6=180\\\\6x=174\\\\x=\boxed{29}\\\\\implies m\angle S=m\angle T=2(29)-5=\boxed{53^{\circ}}[/tex]

Considering the stem-and-leaf plot, the range of the data-set is given as follows:

C. 45,79

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

Considering the key format, the smallest value in this problem is 4|5 = 45, and the highest is 7|9 = 79, hence the range is given by:

C. 45,79

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See below for the properties of the functions

The function f(x)

We have:

f(x) =  –7(x + 2)^3(x – 1)^2(x – 3)

From the graph, we have the following features:

The function m(x)

We have:

m(x) =  x^3 - 4x^2

Factor out x^2

m(x) = x^2(x - 4)

Factor out x

m(x) = x(x)(x - 4)

From the graph, we have the following features:

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