At the gym Merl swims every 6 days, runs every 4 days and cycles every 16 days. If she did all 3 activities today in how many days will she do all 3 activities again on the same day

Answer:

113

Step-by-step explanation:

Answer:

Orange juice

Step-by-step explanation:

The bottle of apple juice costs 3 dollars for 2 liters, and the bottle of orange juice costs 3.99 dollars for 3 liters. To see which bottle has the better deal, we need to make the liters the same so we can compare them.

We can divide the 2 liters for 3 dollars ratio by 2 to get that 1 liter of apple juice costs 1.5 dollars, and we can divide the orange juice ratio by 3 to get that 1 liter of orange juice costs 1.33 dollars. We see that for 1 liter, orange juice is cheaper, so it is the better deal.

Given:

The expression is:

[tex]\left(x^{\frac{2}{5}\right)^n[/tex]

To find:

The decimal value of n so that the value of the given expression is equal to x.

Solution:

We have,

[tex]\left(x^{\frac{2}{5}\right)^n[/tex]

This expression is equal to x.

[tex]\left(x^{\frac{2}{5}\right)^n=x[/tex]

[tex]x^{\frac{2}{5}n}=x^1[/tex]                     [tex][\because (a^m)^n=a^{mn}][/tex]

On comparing the exponents, we get

[tex]\dfrac{2}{5}n=1[/tex]

[tex]2n=5[/tex]

[tex]n=\dfrac{5}{2}[/tex]

[tex]n=2.5[/tex]

Therefore, the required value of n is 2.5.

Answer:

0. 116

Step-by-step explanation:

The function is given as :-

[tex]\boxed{f(d) = 5(1.02)^d }[/tex]

and we have to find the rate of change from d = 4 to d = 11

[tex]\boxed{\blue{\mathfrak{Rate\: of\: change = \frac{final\:output-intital\:output}{final\:input-initial\:input} } }}[/tex]

The final input value is 11 whereas the initial input value is 4.

The final and initial outputs can be calculated by placing the respective values of initial and final inputs (that are 4 and 11).

f(4) = [tex]5(1.02)^4[/tex]

f(4) = 5 × 1. 08

f(4) = 5. 41

f(11) = [tex]5(1.02)^11[/tex]

f(11) = 5 × 1. 24

f(11) = 6. 22

[tex]\underline{Avg\:Rate \: of \: change} = \frac{6. 22-5.41}{11-4} \\ = \frac{0.81}{7} \\ = 0.116 [/tex]

[tex]\bigstar[/tex] Hence, the average rate of change is [tex]\red{\underline{\pmb{0. 116}}}[/tex]

Answer:

Its 48

Step-by-step explanation:

subtract 69 and 56 from 173, what you have left is your answer

48

Step-by-step explanation:

total 176 subtract 69 and 58 since they are given.

176 - 69 -56 = 48

Answer:

313 ft

Step-by-step explanation:

It's hard to explain because its geometry, but there will be a right triangle with angle of 72 and another with angle of 25. do tan72 * 120 - tan25 * 120

The distance from point A to point B is given by the trigonometric relations and d = 313 feet

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the first triangle be represented as ΔAOD

Let the second triangle be represented as ΔBOD

where the distance from point A to point B = d

And , Riley is watching from a vertical distance of 120 feet above the water

Riley measures an angle of depression to the boat at point A to be 18 degrees

Riley takes another measurement and finds the angle of depression to the boat (now at point B) to be 65 degrees

So , ∠BOD = 25° and ∠AOD = 72°

From the trigonometric relations ,

tan θ = opposite / adjacent

tan AOD = AD / OD = tan 72°

tan 72° = 3.087

tan BOD = tan 25° = 0.47

Now , the measure of AD = 120 x 3.087 = 369.6 feet

And , the measure of BD = 120 x 0.74 = 56.4 feet

Therefore , the distance from A to B = 369.6 feet - 56.4 feet

d = 313 feet

Hence , the distance is 313 feet

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Answer:

The dependent variable is the time taken to run 100 metres

Step-by-step explanation:

A dependent variable is simply one that is being measured or sometimes tested in an experiment.

Now, in this case, what is being determined is the time each group of participants will take to run a 100-meter race.

Thus, the dependent variable is the time each group of participants will take to run a 100-meter race.

Answer:

[tex](x -12)(x + 12)[/tex]

Step-by-step explanation:

Given

See attachment for chart

Required

The factors of [tex]x^2 - 144[/tex]

First, express [tex]x^2 - 144[/tex] as [tex]ax^2 + bx + c[/tex]

So, we have:

[tex]x^2 - 144 = x^2 + 0x - 144[/tex]

Compare the above expression to: [tex]ax^2 + bx + c[/tex]

We have:

[tex]ax^2 + bx + c = x^2 + 0x - 144[/tex]

So:

[tex]a =1[/tex]

[tex]b =0[/tex]

[tex]c = -144[/tex]

and

[tex]a * c = d * e[/tex]

Calculate ac

[tex]a* c = 1 * -144[/tex]

[tex]a* c = -144[/tex]

Rewrite as:

[tex]a* c = -12 * 12[/tex]

Recall that:

[tex]a * c = d * e[/tex]

Hence:

[tex]d = -12; e = 12[/tex]

So, on the x chart, we have:

        ac

d                  e

        b

This gives:

        -144

-12                  12

        0

The factors are

[tex](x + d)(x + e)[/tex]

[tex](x -12)(x + 12)[/tex]

Answer:

✔ (x – 12)

 and  

✔ (x + 12)

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

To find the inverse of a function, first make f(x) a y

So,

y = [tex]\frac{12}{x}[/tex] -18

Then switch the x and the y

x = [tex]\frac{12}{y}[/tex] - 18

Solve, for y

Answer:

i dont know

Step-by-step explanation:

figure it out yourself

Answer:

the answer is A

Step-by-step explanation:

comment if you want explanation

Answer:

A is the answer to your question

Answer:

Dilated pupils

Long periods of wakefulness

Loss of appetite

Overconfidence

Over-excitement

Paranoia

Runny nose or frequent sniffles

White powder around nostrils

Legal issues

Missing or being late to work

Financial problems

Mood swings

Irritability

Depression

[tex]\displaystyle\bf 1\frac{1}{3} -3\frac{5}{6} +5\frac{1}{9} =5+1-3+\frac{1^{/6}}{3} +\frac{1^{/2}}{9} -\frac{5^{/3}}{6}\\\\\\\ =3+\frac{6+2-15}{18} =3-\frac{7}{18}=\boxed{2\frac{11}{18} }[/tex]

Answer:

[tex]{ \tt{ \cos(A) = \frac{ \sqrt{700} }{40} }} \\ { \tt{ \cos(A) = 0.66 }}[/tex]

Answer:

B=-5

Step-by-step explanation:

Slope=rise/run

The line passes in

P1(-1,3)

and

P2(0,-2)

So slope=(3-(-2))/(-1-0)=5/-1=-5

Answer:

93

Step-by-step explanation:

Add the two angles 48 and 39 =87. 180-87=93

Answer:

[tex]y=a(x-h)^{2} +k[/tex]

[tex](x,y)=(-3,14)[/tex]

[tex](h,k)=(-4,6)[/tex]

[tex]14=a(-3-(-4))^{2})+6[/tex]

[tex]14=a(-3+4)^{2} +6[/tex]

[tex]14=a(1)^{2} +6,-6[/tex]

[tex]8=a[/tex]

[tex]ANSWER:8[/tex]

--------------------------

HOPE IT HELPS

HAVE A GREAT DAY!!

Answer:

1.66 £

Step-by-step explanation:

(2 * 3.25 + 1.80) : 5 =

8.3 : 5

1.66 £

Answer:

120 miles

Step-by-step explanation:

30 miles per hour * 4 hours

120 miles

Answer:

She travels 120 miles in 4 hours.

Step-by-step explanation:

She travels 120 miles in 4 hours

Answer:

5/14

Step-by-step explanation:

There are 15 tiles in total

5 white| 6 black | 4 blue

event A results in the subject pulling a white tile and not replacing it

5-1= 4

so the first answer should be 4/15

event B results in the subject pulling another tile, a black one and not replacing it.

6-1= 5

given this answer, there is one less tile in the total, since we removed another tile.

So our answer would be-

5/14 or D

Hello,

[tex]f^{-1}(f(58))=(f^{-1}*f)(58)=1(58)=58\\f(f(5)=f(9)=11\\[/tex]

Answer:

[tex]\displaystyle A = 12[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Integrals

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                     [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Area of a Region Formula:                                                                                     [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

y = x

Interval: x = 1 to x = 5

Step 2: Sort

Graph the function. See Attachment.

Bounds of Integration: [1, 5]

Step 3: Find Area

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

Answer:

[tex]{ \tt{ = 3 \div \frac{2}{5} }} \\ = { \tt{3 \times \frac{5}{2} }} \\ = \frac{15}{2} [/tex]

Answer:

3x - y -6 = 0

Step-by-step explanation:

We need to find the Equation of the line parallel to the given equation of line . The given equation of the line is ,

[tex]\rm\implies y = 3x - 3 [/tex]

Slope Intercept Form :-

[tex]\rm\implies y = mx + c [/tex]

where ,

Therefore , the Slope of the line is 3 . Let the parallel line passes through ( 3,3) . We know that the parallel lines have same slope . Therefore the slope of the parallel line will also be 3 .

Using point slope form :-

[tex]\rm\implies y - y_1 = m ( x - x_1) \\\\\rm\implies y - 3 = 3( x - 3 ) \\\\\rm\implies y -3 = 3x -9 \\\\\rm\implies 3x -y -9+3=0\\\\\rm\implies \boxed{\rm\red{ 3x -y -6=0}}[/tex]

Answer:

Step-by-step explanation:

Given function is,

f(x) = -x² - 2x - 1

     = -(x² + 2x + 1)

     = -(x + 2)²

Comparing this equation with the vertex form of a quadratic function,

f(x) = a(x - h)² + k

Here, (h, k) is the vertex.

Vertex of the function is (-2, 0)

Leading coefficient of the function = -1

Therefore, parabola will open downwards.

Function will be increasing in the interval (-∞, -2).

Function will be decreasing in the interval (-2, -∞).

Domain of the function → (-∞, ∞)

Range of the function → (-∞, 0]

Answer:

Step-by-step explanation:

edge

Answer:

Is it the answer is C?

2+4+3+5+1=15

Answer:

1) 1 ≥ 2·x

2) 6·x ≥ 3 + 8·x - 4

3) 1/2 ≥ x The third option and the first number line inequality diagram, please see attached drawing of the number line created with MS Visio

Step-by-step explanation:

The given inequality is presented as follows;

6·x ≥ 3 + 4·(2·x - 1)

By expanding the right hand side of the inequality, we get;

6·x ≥ 3 + 8·x - 4

4 - 3 = 1 ≥ 8·x - 6·x = 2·x

∴ 1 ≥ 2·x

1/2 ≥ x

Therefore, the correct options are;

1) 1 ≥ 2·x

2) 6·x ≥ 3 + 8·x - 4

3) 1/2 ≥ x The third option and the first number line inequality diagram

The image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin is (-24, -8).

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

To find the image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin, we can use the following formula:

(x', y') = (kx, ky)

where (x, y) are the coordinates of the original point, (x', y') are the coordinates of the image after dilation, k is the scale factor, and (0, 0) is the center of dilation.

Substituting the values given in the problem, we get:

(x', y') = (4*(-6), 4*(-2))

Simplifying,

(x', y') = (-24, -8)

Therefore,

The image of the point (-6, -2) after dilation by a scale factor of 4 centered at the origin is (-24, -8).

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