Ms Steward is training for an IronMan Competition. She is determined to shatter every record ever known. She bikes, runs and swims. In two weeks she bikes 75.4 miles 8 times. She runs 22.4 miles three days and 27.5 miles 5 days. She swam 15 miles for 7 days consecutively. How many miles did Ms. Steward train in all?

An absolute value equation is an equation that contains an absolute value expression. An inequality is a mathematical statement that compares algebraic expressions using greater than (>), less than (<), and other inequality symbols.

The absolute number of a number a is written as  |a|

And represents the distance between a and 0 on a number line.

An absolute value equation is an equation that contains an absolute value expression. The equation IxI = a

Has two solutions x = a and x = -a because both numbers are at the distance a from 0.

To solve an absolute value equation as

x+7|=14

You begin by making it into two separate equations and then solving them separately.

x+7=14

x+7−7=14−7

x=7

or

x+7=−14

x+7−7=−14−7

x=−21

An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative.

The inequality   |x|<2  represents the distance between x and 0 that is less than 2 Whereas the inequality  |x|>2 represents the distance between x and 0 that is greater than 2.

You can write an absolute value inequality as a compound inequality.

$$\left | x \right |<2\: or

−2<x<2

This holds true for all absolute value inequalities.

|ax+ b| < c, where c>0

=−c < ax+ b < c

|ax+ b|> c, where c>0

=ax+ b <−corax+ b>c

You can replace > above with ≥ and < with ≤.

When solving an absolute value inequality it's necessary to first isolate the absolute value expression on one side of the inequality before solving the inequality.

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An absolute value equation is an equation that contains an absolute value expression. An inequality is a mathematical statement that compares algebraic expressions using greater than (>), less than (<), and other inequality symbols.

The absolute number of a number a is written as  |a|

And represents the distance between a and 0 on a number line.

An absolute value equation is an equation that contains an absolute value expression. The equation IxI = a

Has two solutions x = a and x = -a because both numbers are at the distance a from 0.

To solve an absolute value equation as

x+7|=14

You begin by making it into two separate equations and then solving them separately.

x+7=14

x+7−7=14−7

x=7

or

x+7=−14

x+7−7=−14−7

x=−21

An absolute value equation has no solution if the absolute value expression equals a negative number since an absolute value can never be negative.

The inequality   |x|<2  represents the distance between x and 0 that is less than 2 Whereas the inequality  |x|>2 represents the distance between x and 0 that is greater than 2.

You can write an absolute value inequality as a compound inequality.

[tex]$$\left | x \right | < 2\[/tex]: or

−2<x<2

This holds true for all absolute value inequalities.

[tex]|ax+ b| < c, where c > 0\\=−c < ax+ b < c\\|ax+ b| > c, where c > 0\\=ax+ b < −corax+ b > c[/tex]

You can replace > above with ≥ and < with ≤.

When solving an absolute value inequality it's necessary to first isolate the absolute value expression on one side of the inequality before solving the inequality.

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Answer:

I dont know

Step-by-step explanation:

Answer:

9000 interest

Step-by-step explanation:

that is answer

Answer:

d

Step-by-step explanation:

Answer:

15/40 which is 3/8

Plug in the numbers into the variables then complete it which then gives you 3/8 simplified

Answer:

1/3

Step-by-step explanation:

The value of the range of the given function will be 1 / 3.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The solution of the given function will be:-

[tex]y =\dfrac{2x-4}{x^2-4}\\\\\\y=\dfrac{2\times 4 -4}{(4^2)-4}\\\\\\y=\dfrac{1}{3}[/tex]

Therefore the value of the range of the given function will be 1 / 3.

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Answer:

45 Degrees

Step-by-step explanation:

Khan Academy

Answer:36

Step-by-step explanation:

gopal:44

ram:112

i think, i hope

The multiplication of the algebraic expressions gives x⁴ + 1.5x³ - 2x²

An algebraic expression is an expression that consists of variables, constants, and a finite number of algebraic operations (such as addition, subtraction, multiplication, and division) e.g. 2x + 25

In order to perform the multiplication, you use expression outside the parenthesis to multiply the expressions inside the parenthesis one after the other. That is:

-0.5x²(-2x² - 3x + 4) = -2x²(-0.5x²) - 3x(-0.5x²) + 4(-0.5x²)

= 1x⁴ + 1.5x³ - 2x²

= x⁴ + 1.5x³ - 2x²

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The number which has a finite number of digits after the decimal point is a terminating decimal.

The decimal is said to be terminating decimal if that has a finite number of digits after the decimal point. Decimal numbers are used to represent the partial amount of whole just like fractions. The number which has a finite number of digits after the decimal point is referred to as a terminating decimal. A number has a terminating decimal expansion if the digits after the decimal point terminate or are finite. The fraction 5/10 has the decimal expansion of 0.5 which is a terminating decimal expansion because digits after the decimal point end after one digit. Terminating decimal has finite digits and non-terminating decimals do not have finite digits. A number with a terminating decimal is always a rational number.

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Answer:

B.

Step-by-step explanation:

5 * f (The number of fish) has to be less than or equal to $30

Answer:

The answer is "[tex]cirtical\ points \ (x,g(x))\equiv (e,0),(e+3,\frac{27}{e^3})[/tex]"

Step-by-step explanation:

Given:

[tex]g(x) = (x-e)^3e^{-(x-e)}[/tex]

Find critical points:

[tex]g(x) = (x-e)^3e^{(e-x)}[/tex]

differentiate the value with respect of x:

[tex]\to g'(x)= (x-e)^3 \frac{d}{dx}e^{e-r} +e^{e-r} \frac{d}{dx}(x-e)^3=(x-e)^2 e^{(e-x)} [-x+e+3][/tex]

critical points [tex]g'(x)=0[/tex]

[tex]\to (x-e)^2 e^{(e-x)} [e+3-x]=0\\\\\to e^{(e-x)}\neq 0 \\\\\to (x-e)^2=0\\\\ \to [e+3-x]=0\\\\\to x=e\\\\\to x=e+3\\\\\to x= e,e+3[/tex]

So,

The critical points of [tex](x,g(x))\equiv (e,0),(e+3,\frac{27}{e^3})[/tex]

Answer:

The change in y-axis with respect to change in x-axis is described as slope.

the slope is 0.06,  rewrite it as a fraction

the base of the bridge is 50 and height of the bridge is 3, find the hypotenuse using the Pythagorean theorem to get the length of the bridge.

[tex] Length =\sqrt{3^{2}+50^{2}} =\sqrt{9+2500}} =\sqrt{2509}}    

Length of the bridge is 50.08

Answer: A.

Step-by-step explanation: Think of present tense, past tense, future tense

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

After spending $269.88, 4 times $10.57, and $17.76 of her $540 budget, you want to know how many (x) outfits Zendaya can buy at $65.65 each.

The total of Zendaya's spending must be no more than her budget amount:

  269.88 +4(10.57) +17.76 +65.65x ≤ 540

Simplifying the inequality gives ...

  329.92 +65.65x ≤ 540

  65.65x ≤ 210.08 . . . . . . . . . . subtract 329.92

  x ≤ 3.2 . . . . . . . . . . . . . divide by 65.65

Zendaya can purchase up to 3 outfits while staying within her budget.

The amount of GI is $35,468.

The amount of taxable income is $23,068.

Option A is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Gross income = $35,468

Exemption = $12,400

Deduction = 0

Adjustment = 0

Taxable income.

= Gross income - Exemption

= 35,468 - 12,400

= $23068

Thus,

GI and taxable income are $35,468 and $23,068

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Triangle ABC is translated to triangle EFG because a vertical translation of 10 units and a horizontal translation of 5 units maps triangle ABC onto triangle EFG.

It is the movement of the shape in the left, right, up, and down directions.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

Triangle ABC.

A = (-9, -2)

B = (-9, -7)

C = (-7, -7)

Triangle EFG.

E = (-4, 8)

F = (-4, 3)

G = (-2, 3)

Now,

With a vertical translation of 10 units up on triangle ABC and 5 units right of the horizontal translation will give us triangle EFG.

i.e,

(-9, -2) = (-9 + 5, - 2 + 10) = (-4, 8)

(-9, -7) = (-9 + 5, -7 + 10) = (-4, 3)

(-7, -7) = (-7 + 5, -7 + 10) = (-2, 3)

Thus,

Vertical translation of 10 units up and horizontal translation of 5 units right.

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Answer:

1: Congruent

2: 10

3: 5

Step-by-step explanation:

The function increases on [0,∞] and decreases on [-∞,0]. The absolute minimum value of f is 0, and its relative minimum value is the same (0,0).

When x<  0, you can see on the graph that there is a "open circle" at (0, 0).

Thus, due to the graph's indefinitely high y values, there is likewise no absolute maximum value for f.

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Answer:

B

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 2 ← is in slope- intercept form

with slope m = 3

• Parallel lines have equal slopes

then slope of parallel line is 3

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = 3 and (a, b ) = (3, 5 ) , then

y - 5 = 3(x - 3) ← equation of parallel line in point- slope form

The angle measure of m∠CAF = 23°.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

The angle measures,

m∠EBG = 23°

m∠CAE = 52°

From  the figure,

m∠EBG = m∠FAE = 23°

So, from the figure,

m∠CAE = m∠CAF + m∠FAE

Substituting the angle measures,

52 =  m∠CAF + 23

m∠CAF = 52 - 23

 m∠CAF = 22°

Therefore, 23° is the angle measure of  m∠CAF.

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Answer:

a 97- (55+80) +250

b Melanie has $212 left in her bank account.

Step-by-step explanation:

55 + 80 = 135

97 - 135 = -38

-38 +250 = 212

Therefore ,the result is. It means that there exist 17 units between the two points supplied as the answer to the given distance problem.

An object's travels are quantified by distance. Simply explained, distance, or t, is the amount of space an object covers within a specific period of time. Displacement is still the quickest route a moving object can travel. We frequently take into account the concepts of range and displacement.

Here,

6 and -3 are given (2, -2)

Points (a, b) and (c, d) are now separated by

d= √(c-a)² + ( d- b) ²

 d= √(-3+2)² + (2-6)² as a result.

=>d = √ 1 + 16 = √17

The distance between the two places is therefore 17 units.

the result is. It follows there are 17 units between the two points supplied as the answer to the given distance problem.

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Answer:

(6.9)

Step-by-step explanation:

x(t) = [tex]c_1e^1^4^t+c_2e^-^t[/tex]  , y(t) = [tex]2c_1e^1^4^t-c_2e^-^t[/tex]   is the general solution of the sytem of differention eqution dx/dt = 4x+ 5y , dy/dt = 10x + 9y .

given  dx/dt = 4x+ 5y  and dy/dt = 10x + 9y

X'(t) = [tex]\left[\begin{array}{ccc}4&5\\10&9\end{array}\right][/tex]  X

where X = [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex]

so A = [tex]\left[\begin{array}{ccc}4&5\\10&9\end{array}\right][/tex]

now we need to find eigen value of the matrix and the corresponding eigen vector.

| A- λI | = 0

so after equation the value to zero

λ = 14 and λ = -1

now for the  λ = 14 corresponding eigen vector = [tex]\left[\begin{array}{ccc}1\\2\\\end{array}\right][/tex]

for λ = -1 corresponding eigen vector =  [tex]\left[\begin{array}{ccc}1\\-1\\\end{array}\right][/tex]

So general equation is given by:

X(t) = [tex]c_1e^1^4^t[/tex]  [tex]\left[\begin{array}{ccc}1\\2\\\end{array}\right][/tex]  +  [tex]c_2e^-^t[/tex]   [tex]\left[\begin{array}{ccc}1\\-1\\\end{array}\right][/tex]

after solving this

x(t) = [tex]c_1e^1^4^t+c_2e^-^t[/tex]

y(t) = [tex]2c_1e^1^4^t-c_2e^-^t[/tex]

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To find the values of b and c, we can use the quadratic formula:

[tex]x = (-b ± \sqrt{ (b^2 - 4ac)}) / 2a[/tex] which will give us the value B = -6 & C = -4

A quadratic equation is a second-order polynomial equation in one variable using the formula [tex]x = ax2 + bx + c = 0[/tex] and a 0. The fundamental theorem of algebra ensures that it has at least one solution because it is a second-order polynomial problem. Real or complex solutions are also possible.

So the equation that she get is [tex]x^{2} -6x-4[/tex]

this means that x=3+√13 or 3-√13

which also equals to x=3+√13 & x-3-√13=0 and

x=3-√13

x-3+√13=0

which if you try to find the quadratic equation for this. you need to do it by this

(x-3+√13)(x-3-√13)

which will get you

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X = 38°

Step-by-step explanation:

The sum of the inner angles of a triangle is 180 degrees

Then.. :

136+ x= 180

180- 136= x

X= 44

88 + 44 + x = 180

142+ x = 180

X= 180-142

X = 38°

Espero haberte ayudado.