Which expressions are equivalent to One-third + 8 d + StartFraction 5 Over 7 EndFraction? Check all that apply.
1 + 3 + 8 d + 5 + 7
8 d + one-third + StartFraction 5 Over 7 EndFraction
StartFraction 1 Over 7 EndFraction + 8 d + StartFraction 5 Over 3 EndFraction
One-third + StartFraction 5 Over 7 EndFraction + 8 d
3 + 8 d + 7
8 d + one-third + StartFraction 7 Over 5 EndFraction
StartFraction 5 Over 7 EndFraction + one-third + 8 d

Missing part of the question

Miguel has started training for a race. The first time he trains, he runs 0.5 mile. Each subsequent time he trains, he runs 0.2 mile farther than he did the previous time.

What is the arithmetic series that represents the total distance Miguel has run after he has trained n times?

Answer:

The least number of times Miguel must run for his total distance run during training to exceed the distance of a marathon is 17.3 miles

Step-by-step explanation:.

Given parameters

Miguel first run = 0.5 mile

Subsequent run = 0.2 mile

This question is an arithmetic progression.

We'll make use of arithmetic progression formula to solve this

Formula:.

Tn = a + (n - 1)d

Where a = first term

n = number of terms

d = common difference

In this case

a = first run = 0.5 mile

d = subsequent run = 0.2 mile

So, Tn = a + (n - 1)d become

Tn = 0.5 + (n - 1) 0.2

Tn = 0.5 + 0.2n - 0.2

Tn = 0.5 - 0.2 + 0.2n

Tn = 0.3 + 0.2n

The arithmetic series of an arithmetic progression is calculated using

Sn = ½(a + Tn) * n

By substituton, we have

Sn = ½(0.5 + 0.3 + 0.2n) * n

Sn = ½(0.8 + 0.2n) * n

Sn = 0.4n + 0.1n²

b.

Since the race is 26.2 miles then the least number of times is given as

Sn ≥ 26

0.4n + 0.1n² ≥ 26.2

0.1n² + 0.4n - 26.2 ≥ 0

Using quadratic formula

n = (-b ± √(b² - 4ac))/2a

Where b = 0.4 a = 0.1 and C = -26.2

So,

n = -0.4 ± √(0.4² - 4 * 0.1 * ,26.2)/2 * 0.1

n = (-0.4 ± √10.64)/0.2

n = (0.4 ± 3.26)/0.2

n = (0.4 + 3.26)/0.2 or (0.4 - 3.26)/0.2

n = 3.46/0.2 or -2.86/0.2

n = 17.3 or -14.3

Since n can't be negative

n = 17.3 miles

The least number of times Miguel must run for his total distance run during training to exceed the distance of a marathon is 17.3 miles

Answer:

15 times

Step-by-step explanation:

Answer:

Therefore the constant of proportional is r=7.

Step-by-step explanation:

The quantities x and y are proportional.

      x                y

i)     2              14

ii)    6               42

iii)   11               77

Since x and y are proportional.

y= rx

(i)

Now plug y= 14 and x=2

14=r.2

[tex]\Rightarrow r=\frac{14}{2}[/tex]

[tex]\Rightarrow r=7[/tex]

(ii)

Now plug y= 42 and x=6

42=r.6

[tex]\Rightarrow r=\frac{42}{6}[/tex]

[tex]\Rightarrow r=7[/tex]

(iii)

Now plug y=11 and x=77

77=r.11

[tex]\Rightarrow r=\frac{77}{11}[/tex]

[tex]\Rightarrow r=7[/tex]    

Therefore the constant of proportional is r=7.

Answer:

EASY! First we have to find the area of the back yard.

Step-by-step explanation:

[tex]A=12*10\\A=120[/tex]

So, we have to convert feet to yards(as it's in feet and we are doing our calculations in yards).

(And also, due to the fact it's squared, we have to square our coefficient as well).

The formula states we have to divide by 3, thus:

[tex]\frac{400}{3^{2} } =\frac{400}{9 }=44.444...[/tex]

Hmmm. Might be better if we do it the other way around. Might be simpler.

Thus:

[tex]120*9=1,080[/tex]

So then we divide 1,080 by 400, as the bag covers 400 feet

[tex]\frac{1080}{400} =2.7[/tex]

So, he needs 3 bags(as he cannot use two to cover the entire back yard). He will have a little left over, but that's okay, because he cannot buy 0.7 of a bag.

Then we multiply this by the cost!

[tex]3*25.99=77.97[/tex]

So, Kenneth would have to pay $77.97 and have a little left over!

Hope I did this right!

Hope this helps!

P.S. How are you doing during this shelter-in-place?

(g°f)(x)=1/(x-4)

x-4 !=0 (different from 0 because the denominator can never be 0)

=> x!=4

the domain is R \ {4}

To solve the equation 2x(x+3)-5(x+3)=0, distribute the terms within the parentheses and combine like terms. Then, use the quadratic formula to find the solutions of the quadratic equation.

To solve the equation 2x(x+3)-5(x+3)=0, let's distribute the 2x and -5 into the terms inside the parentheses: 2x^2 + 6x - 5x - 15 = 0. Combining like terms, we get 2x^2 + x - 15 = 0. Now we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In our case, a = 2, b = 1, and c = -15. Plugging these values into the quadratic formula, we get:

x = (-1 ± √(1^2 - 4(2)(-15))) / (2(2))

x = (-1 ± √(1 + 120)) / 4

x = (-1 ± √121) / 4

x = (-1 ± 11) / 4

So the two solutions are x = 10/4 and x = -12/4, which can be simplified to x = 5/2 and x = -3.

Answer:

[tex]P(x\geq 7)=0.1886[/tex]

Step-by-step explanation:

The variable x, that said the number of customer that will order a nonalcoholic beverage in a sample of n customers follows a binomial distribution. Because we have n identical and independent events with a probability p of success and (1-p) of fail.

So, the probability that x customers will order a nonalcoholic beverage is:

[tex]P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}[/tex]

Where n is the size of the sample and p is the probability that a customer order a nonalcoholic beverage, so replacing the values, we get:

[tex]P(x)=\frac{10!}{x!(10-x)!}*0.51^{x}*(1-0.51)^{10-x}[/tex]

Now, the probability that at least 7 will order a nonalcoholic beverage is equal to:

[tex]P(x\geq 7)=P(7)+P(8)+P(9)+P(10)[/tex]

Where:

[tex]P(7)=\frac{10!}{7!(10-7)!}*0.51^{7}*(1-0.51)^{10-7}=0.1267\\P(8)=\frac{10!}{8!(10-8)!}*0.51^{8}*(1-0.51)^{10-8}=0.0494\\P(9)=\frac{10!}{9!(10-9)!}*0.51^{9}*(1-0.51)^{10-9}=0.0114\\P(10)=\frac{10!}{10!(10-10)!}*0.51^{10}*(1-0.51)^{10-10}=0.0011[/tex]

So, [tex]P(x\geq 7)[/tex] is equal to:

[tex]P(x\geq 7)=0.1267+0.0494+0.0114+0.0011\\P(x\geq 7)=0.1886[/tex]

Finally, the probability that in a sample of 10 customers, at least 7 will order a nonalcoholic beverage is equal to 0.1886

Answer:59

Step-by-step explanation:

8.54

Simplest way to do it is using the Pythagorean Theorem

c^2 = a^2 + b^2

You want c. We can get a and b from the chart by seeing that the horizontal distance from A to B is 8 and the vertical distance is 3. Otherwise,

a = |-4| + 4 = 8, horizontal distance

b = |-5| + |-2| = 3, vertical distance

Then,

[tex]c = \sqrt{ {8}^{2} + {3}^{2} } = \sqrt{73} = 8.54[/tex]

Answer:

I feel it is D as you are always on your feet and cant find time to study. That's my guess.

Step-by-step explanation:

Answer:

D. because a waitress doesn't necessarily have to study to work.

Answer:

A is the correct answer have a nice day

Step-by-step explanation:

Answer: a is the answer

Step-by-step explanation:

Answer:

What is the radius of the cone?

5ft

What is the area of the base of the cone?

25ft

What is the volume of the cone?

75ft

Step-by-step explanation:

1) Radius of the cone = 5ft

2) Area of the base of the cone =  78.5 square feet

3) Volume of the cone = 235.5 cubic feet

A cone is a distinctive three-dimensional geometric figure that has a flat surface and a curved surface, pointed towards the top. The pointed end of the cone is called the vertex, whereas the flat surface is called the base.

According to the given problem,

Diameter of the cone = 10 feet

Radius of the cone = [tex]\frac{diameter}{2}[/tex]

                                = 5 feet

Area of the base of the cone = [tex]\pi[/tex]r²

                                                 = [tex]\pi[/tex] × (5)²

                                                 = 78.5 square feet

Volume of the cube = [tex]\pi[/tex]r²[tex](\frac{height}{3})[/tex]

                                  = 235.5 cubic feet

Hence, we can conclude that the cone shown in figure has a radius of 5 feet , base area of 78.5 feet and a volume of 235.5 cubic feet.

Learn more about cone here: https://brainly.in/question/50597516

#SPJ2

Answer:

The answer is C. 0.19 I hope this helped you good luck!

Answer: C. 0.19     Hope this helps!    

Answer:

D

Step-by-step explanation:

A line with a positive slope goes upwards from left to right.

A line with a negative slope goes downwards from left to right.

The given lines are all in slope- intercept form

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

y = 2x + 5 has m = 2 ← positive

y = 2x - 6 has m = 2 ← positive

y = 2x has m = 2 ← positive

y = - 2x + 20 has m = - 2 ← negative

Thus y = - 2x + 20 goes downwards from left to right

Answer:

D

Step-by-step explanation:

Answer: 18 meters

Step-by-step explanation:

Given Information:

Circumference of circle = C = 37.68 cm

Required Information:

Diameter of circle = D = ?

Answer:

Diameter of circle = [tex]D = 11.99[/tex] [tex]cm[/tex]

Step-by-step explanation:

We know that circumference of a circle is given by

[tex]C=2\pi r[/tex]

Where r is the radius of circle.

The relation between radius and diameter is given by

[tex]r = \frac{D}{2}[/tex]

Substitute r into above equation of circumference.

[tex]C=2\pi (\frac{D}{2} )[/tex]

[tex]C=\pi D[/tex]

[tex]D = \frac{C}{\pi}[/tex]

[tex]D = \frac{37.68}{\pi}[/tex]

[tex]D = 11.99[/tex] [tex]cm[/tex]

Therefore, the diameter of the circle is 11.99 cm

Answer:

Step-by-step explanation:

Answer:

Fred's Fit Place: 4 month membership every trimonthly

Step-by-step explanation:

Fred's Fit Place is less expensive first of all.

Secondly, You could by a one month membership every month, a two month membership every 6 months, a three month membership every 4 months or a 4 month membership trimonthly. If you do the math, the 4 month membership trimonthly is least expensive.

Answer:

Fred Fit's Place

Step-by-step explanation:

Answer:

The expression that represents another method of computing

Is

615/100*(-311/100)

Step-by-step explanation:

Given the expression in decimal form, we can convert this to factional form and perform product operations as an alternative computational method

6.15*(-3.11)= 19.13

In fraction 6.15 can be written as

615/100

In fraction -3.11 can be written as

-311/100

Hence The product can also be expressed as fractions

615/100*(-311/100)

Answer:

(6 x (-3.11)) + (0.15 x (-3.11))

Step-by-step explanation:

In the given expression, the term 6.15 can be written as follows.

6.15 = 6 + 0.15

Apply the distributive property.

6.15 x (3.11) = (6 x (-3.11)) + (0.15 x (-3.11))

So, another method of computing the given product is given by the following expression.

6 x (-3.11)) + (0.15 x (-3.11))

Answer:

Hi, Its still you, huh?

Step-by-step explanation:

3

because because

Answer:

3

Step-by-step explanation:

Answer:

Since their corresponding angles are congruent and the corresponding sides are in proportion

Step-by-step explanation:

For ABD,

Sin (B) = (AD ÷ AB) =1

∴ AD = AB

and if AD = AB

⇒ AD = AC   (since AD 1 CB).

From triangle ACD,

Sin(C) = (AD ÷ AC)

Since AD = AC , Hence Sin (B) = Sin (C) = 1

Also From definition of similar triangles ABD and ACD are Similar (i.e their corresponding angles are congruent and the corresponding sides are in proportion)

Answer:

1 is h/c

2 is c sin(b)=h

3 is h/b

4 is b sin(c)=h

5 is substitution

6 is bc

Step-by-step explanation:

right on edge 2020

Answer:

(9,-2)

Step-by-step explanation:

hope i helped

Answer:

Step-by-step explanation:

Instead, you will use diagrams. To solve such a problem, you must produce a diagram which clearly shows all of the fractions involved in the ... between them have eaten five of the pieces, they have eaten 5/6 of the cake. We also see that ... counting numbers with M<N), then you must show the thing, show it clearly.

Answer:

You don't have a question but I'll answer what I can.

half-life = natural log (.5) / k

half-life =  -.693147 / .1247

half-life = 5.561106656

It seems you did not express the k-value properly.

1) A k-value should have a negative value.

2) A k-value should also have units.

For example, the k-value of tungsten 181 is

-0.005723757 / days

Step-by-step explanation:

Final answer:

a half-life of 5.5 days.

Explanation:

To find the half-life (t1/2) using the decay constant (k), the formula that relates them for the decay of a radioactive substance, typically used for first-order kinetics, is t1/2 = ln(2)/k, where ln(2) is the natural logarithm of 2. Given the decay constant k = 0.125, the half-life is calculated as follows:

t1/2 = ln(2) / 0.125

t1/2 = 5.545 / 0.125

t1/2 = 5.5 days

The mass of the substance does not affect the half-life, so the initial 11-gram sample size is not used in the calculation. Thus, the substance's half-life, rounded to the nearest tenth, is 5.5 days.

Answer:£1 = 100 pence

Step-by-step explanation:

£1 = 100 pence because you divide the pence by 100 to get the amount of pounds you have.

Answer:

The answer is D) 256/81

Step-by-step explanation:

So, 256 is numerator (on top) and 81 is the denominator (on bottom).

I did the thing with on the top and on the bottom bc I always end up looking up what numerator and denominator means. :)

Answer:

its (D)

Step-by-step explanation:

:)

Answer:

the value is 60

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

All interior angles in a triangle add up to 180. So if you have two already, just subtract both angles from 180 to get the last angle. The equation is:

65 + 55 + b = 180

120 + b = 180

-120         -120

___________

         b = 60

Answer:

Step-by-step explanation:

For some constants a, b, and c, the standard form* is ...

  ax^2 + bx + c = 0

___

It is nice if the leading coefficient (a) is positive, but that is not required.

The main ideas are that ...

_____

* This is the standard form for a quadratic. For other kinds of equations, when the expression is equal to zero, this would be called "general form."

Answer:

B) 16x + 12

Step-by-step explanation:

4(5x + 3) − 4x

= 20x + 12 - 4x

= 20x - 4x + 12

= 16x + 12

Answer:

x = 14

Step-by-step explanation:

12(3x - 2) = 32(x + 1) ← distribute both sides

36x - 24 = 32x + 32 ( subtract 32x from both sides )

4x - 24 = 32 ( add 24 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

The value of x given that JKL ~ MKN is; x= 14.

According to the question;

Based on ratios; We can conclude that;

[tex] \frac{12}{x + 1} = \frac{32}{3x - 2} [/tex]

By cross product, we have;

x = 14.

Ultimately, the value of x given that JKL ~ MKN is; 14.

Read more on congruent triangles:

https://brainly.com/question/1675117

Answer:

its b!!!!!!!

Step-by-step explanation: