what is 1/4 divided by 3/8

Answer:

60 miles

Step-by-step explanation:

all you do is 1/3 + 1/3 and get 2/3. then times that by 180. You get 120. divide that by 2 because half the time she gets a ride and you get 60.

Complete Question

The projected worth (in millions of dollars) of a large company is modeled by the equation w =256(1.09)^t .

The variable t represents the number of years since 2000. What is the projected annual

percent of growth, and what should the company be worth in 2008?

Answer:

a) The projected annual percent growth = 9%

b) The company's worth in 2008 = 510.09603627(in million dollars) or $510,096,036.27

Step-by-step explanation:

a) The projected annual percent growth

From the formula of company's worth =

w = 256(1.09)^t

1.09 - 1 = 0.09

Converting decimal to percentage

= 0.09 × 100

= 9%

b) The projected worth of the company is represented as:

w= 256(1.09)^t

t = 2000 - 2008 = 8 years

w = 256(1.09)^8

w = 510.09603627(in million dollars)

or 510.09603627 × 1,000,000

= $510,096,036.27

Answer:

Step-by-step explanation:

Hello, we need first to develop and then identify the like terms.

[tex](x + 7)^2 = (x-7)^2 + ax\\\\(x+7)^2-(x-7)^2=ax\\\\(x+7-x+7)(x+7+x-7)=ax\\\\14*2x=ax\\\\28x=ax[/tex]

So a = 28.

Thank you

bhai ap apne ap kar lo ye question

Answer:

The probability is 0.0643 to 4 decimal places

Step-by-step explanation:

To calculate this probability, we find the z-score

Mathematically;

z-score = (x-mean)/SD

where in the question;

x = 46.3

mean = 55.1

SD = 5.8

Plugging these values, we have;

z-score = (46.3-55.1)/5.8 = -8.8/5.8 = -1.52

The probability we want to calculate is;

P(z < -1.52)

We can get this answer by using the standard normal distribution table;

Thus from the table, we have;

P(z < -1.52) = 0.064255 which is 0.0643 to 4 decimal places

Answer:

the tax on a $90,000 salary is: $5175

Step-by-step explanation:

Given that the person earns a $90,000 annual salary, you need to use the last of the brackets , the one that reads "17,001 and up". That is, you need to find the 5.75% of the $90,000 in order to determine the taxes owed.

Recall that 5.75% in math terms is: 5.75/100 = 0.0575

Then the 5.75% of $90,000 is mathematically calculated as the product :

0.0575 x 90,000 = 5175

Therefore the tax on a $90,000 salary is: $5175

Answer:

decimal

x = 5.284 or 0.284

fraction

x = (21.136) / 4 or (1.136) / 4

Step-by-step explanation:

2x² - 10x - 3 = 0

x = [-b ± √b² - 4(a)(c)] / 2(a)

x = {-(-10) ± √[(-10)² - 4(2)(-3)]} / 2(2)

x = [10 ± √(100  + 24)] / 4

x = (10 ± √124) / 4

x = (10 ± 11.136) / 4

x = (21.136) / 4 or (1.136) / 4

x = 5.284 or 0.284

Answer:

Step-by-step explanation:

A complex number in its rectangular form is expressed as x+iy where x is the real part of the complex number and y is the imaginary because it is attached to the imaginary number i.

Given the complex number 4-5i, comparing the complex number with x+iy

4 = x and iy = -5i

Hence x = 4 and y = -5.

Since x is the real part of the complex number x+iy, hence 4 will be the real part of the complex number 4-5i based on comparison.

Answer:

The answer is attached for better presentation of formulas.

Step-by-step explanation:

The areas under the normal curve between any two ordinates at X=a and X=b equals the probability that the r.v X lies in the interval [a,b]. that is  P (a ≤ X ≤ b) = ∫_a^b▒1/(σ√2π) e^((-(x-u))/(2σ^2))  dx

which is represented by the area of the shaded region. (figure1)

But integrals of this type cannot be solved by ordinary means. They are however evaluated by the methods of numerical integration, and numerical approximations for some function have been tabulated for quick reference.

The table of areas under the unit normal curve gives the areas (probabilities) for the standard normal distribution from the mean, z=0 to a specified value of z say z0. Since normal curves are symmetrical therefore P (0 to z) = P (0 to –z). That is why the areas for negative values of z are not tabulated. Hence to use the table of areas for the normal distribution, the values of the r.v X in any problem are changed to the values of the standard normal variable Z and the desired probabilities are obtained from the table.

Thus to find P (a <X<b) we would change X into Z as follows

P (a <X<b) = P ((a-u)/σ ≤ (X-u)/σ  ≤  (b-u)/σ )

= P ((a-u)/σ ≤ Z ≤  (b-u)/σ )

Where (a-u)/σ and    (b-u)/σ  are the z- values of the standard normal variable Z.

In practice, a normal curve sketch for the given problem, showing under the X scale, a scale for the corresponding values of z will help in solving problem.  (Figure 2)

Answer:

I believe it would be TRUE but sorry if I'm wrong!

Step-by-step explanation:

Answer: True

Step-by-step explanation:

I got it right on my lesson.

Answer:

The height of the triangle is 6.4cm

Step-by-step explanation:

- If the triangle has a side that measures 12.5cm, it means that two of its sides are equal in length.

Which is equivalent to the description of an isosceles triangle.

To find the height, use the equation of the area.

Area = (Base * height) / 2

- We know the value of the area and its shorter side that could be the base.

40cm = (12.5 cm * h) / 2

- Clearing the height would give that:

80cm / 12.5cm = h

h = 6.4cm

The height of the triangle is 12.5cm

A triangle is a plane figure with edges that are all straight with three sides and three angles.

The formula for calculating the area of a triangle is;

[tex]\mathbf{Area = \dfrac{1}{2}\times Base \times Height}[/tex]

Given that:

The area = 40 cm²

Since the diagram for the triangle is not given;

∴

Using the formula form above:

[tex]\mathbf{40.0 cm^2 = \dfrac{1}{2}\times 12.5 cm \times Height}[/tex]

[tex]\mathbf{40.0 cm^2 \times 2 = 1\times 12.5 cm \times Height}[/tex]

[tex]\mathbf{80.0 cm^2 = 12.5 cm \times Height}[/tex]

[tex]\mathbf{Height = \dfrac{80.0 cm^2}{ 12.5 cm} }[/tex]

Height of the triangle = 6.4 cm

Therefore, we can conclude that the height of the triangle = 6.4 cm

Learn more about triangles here:

https://brainly.com/question/2773823?referrer=searchResults

Answer:

From the given information, the value of n is 1. By using that information, the measure of JL is 29.

Step-by-step explanation:

For this problem, we have to not only find the value of n but, we also have to find the value of JL. We are given information in this problem.

ΔABC ≅ ΔJKL

AC = 10n + 19

JL = 9n + 20

From this information, we can conclude that AC and JL are congruent meaning they are equal in measure. So, let's set up an equation where they set equal to each other.

10n + 19 = 9n + 20

Subtract 9n from 10n.

n + 19 = 20

Subtract 19 from 20.

n = 1

So, the value of n is 1. We can use this to find the value of JL.

JL = 9(1) + 20

JL = 9 + 20

JL = 29

Answer:

JL is equal to 29

Step-by-step explanation:so JL= 29 is the answer

Answer:

4

Step-by-step explanation:

there are only for sandwiches.

Answer:

0 ones

7 tenths

6 hundredths

I'm sorry if I misunderstood.

Good luck though! :)

Please add Brainliest if you'd like, not that it matters.

Answer:

Lulu= £81

Ruby=£108

Emma=£ 72

Step-by-step explanation:

Let Lulu's money be x

Let Ruby's money be y

Let Emma's money be z

The total money they went shopping with is = £261

So

x+y+z= 261

Lulu spent 2/3 of her money Ruby spent 1/2 of her money and Emma spent 3/4 of her money.

Money spent by each

Lulu= 2/3x

Ruby=1/2y

Emma= 3/4z

Each of them spent the same amount of money.

2/3x= 1/2y= 3/4z

2/3x= 1/2y

x(2*2)/3 = y

4/3(x) = y

2/3x=3/4z

x(2*4)/(3*3)= z

8/9x= z

x+y+z= 261

x+4/3x+8/9x= 261

9x +12x +8x= 2349

29x= 2349

X= 81

4/3(x) = y

4/3(81) = y

108= y

8/9x= z

8/9(81)= z

72= z

Answer:

Answer:

160°

Step-by-step explanation:

If you add or subtract a full 360° rotation (or multiple of 360°) you get the same rotation.

Add 360° to -200°:

-200 + 360 = 160

Answer:

11446

Step-by-step explanation:

= [(12*9) - 1 ]^2-3

=[108-1]^2-3

=107^2-3

=11449-3

=11446.

Answer:

the answer is b

Step-by-step explanation:

2nd graph includes a pair of functions for a specific velocity function and the corresponding stopping distance that can be verified as inverses.

The answer is option B.

The test to verify if a function f is the inverse of another function g is given by using the composition of the functions such as this, f(g(x))= x. Therefore, to answer your question, f(g(x))=x is saying f is the inverse of g. f(g(x))=x is saying f is the inverse of g but g is not the inverse of f, g(f(x))≠x.

Learn more about inverses here: brainly.com/question/14796161

#SPJ2

Answer:

1 h with 20 min

Step-by-step explanation:

10-6 = 100-60

= 40, in percentages is 40%, 40% minus of 2 h is...

if 50% minus is 1 h, 40% is 1 h with 20 min or simply...

120 min - 40% = 120 - 40

120 - 40 = 80, 80 min are 1 h and 20 min

Hope this helps

In a fraction, the fraction bar means divided by. So to find the decimal form equivalent of a fraction like 1/4 you need to solve the math problem 1 dived by 4.

1 ÷ 4= 0.25

Answer:

0

Step-by-step explanation:

6-6 equals 0

Answer:

Step-by-step explanation:

The absolute value of  |-6| is 6

Answer: 77

Add the three given values to get that result above.

Answer:

Step-by-step explanation:

The statement that is true for the given figure will be AD/DC = AB/CB.

So the correct option is A.

A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

The triangle ABC is divided into two triangle by a median DB that are;

Triangle ADB and Triangle ADC

So here the proportion form as;

AD/DC = AB/CB.

Therefore, The statement that is true for the given figure will be AD/DC = AB/CB.

So the correct option is A.

Learn  more about isosceles right angled triangle here:

https://brainly.com/question/27190025

#SPJ2

The total miles run by four runners is 26.563 miles.

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

Given, Four runners are training for long races. Noah ran 5.123 miles, Andre ran 6.34 miles, Jada ran 7.1 miles, and Diego ran 8 miles.

Therefore, The total number of miles for the dour runners is the sum of the individual miles run by each player which is,

= (5.123 + 6.34 + 7.1 + 8) miles.

= 26.563 miles.

learn more about arithmetic operations here :

https://brainly.com/question/25834626

#SPJ5

At the point of the least cost of fencing the cost function has a zero

derivative.

Reasons:

Shape of the pen = Rectangular

Area of the pen = 24 yd²

Cost of material on one side of the fence = $6 per yard

Cost of material on the remaining three sides = $3 per yard

Required:

The least cost of fencing the pen

Solution:

The least cost is a minimum value of the cost function

Let L represent the length of the fence and let W represent the width of the fence

We have;

The perimeter of the fence = 2·L + 2·W

The area of the pen, A = L × W = 24

One of the length, L, of the fence costs $6 per yard and the other length L,

of the opposite side costs $3 per yard.

The cost of fencing, C  3 × 2·W + 3 × L + 6 × L = 6·W + 9·L

C = 6·W + 9·L

[tex]\displaystyle W = \mathbf{\frac{24}{L}}[/tex]

Which gives;

[tex]\displaystyle C = 6 \cdot \frac{24}{L} + 9 \cdot L = \frac{144}{L} + 9 \cdot L = \mathbf{\frac{144 + 9 \cdot L^2}{L}}[/tex]

The shape of the above function is concave upwards.

At the minimum value, we have;

[tex]\displaystyle \frac{dC_{min}}{dL} = \frac{d}{dL} \left(\frac{144}{L} + 9 \cdot L\right) = 9 - \frac{144}{L^2} = 0[/tex]

Which gives;

[tex]\displaystyle \frac{144}{L^2} = 9[/tex]

[tex]\displaystyle \frac{144}{9} = L^2[/tex]

By symmetric property, we have;

[tex]\displaystyle L^2 = \frac{144}{9}[/tex]

[tex]\displaystyle L = \sqrt{ \frac{144}{9}} = \frac{12}{3} = 4[/tex]

The length of the fence that gives the least cost, L = 4 yards

[tex]\displaystyle At \ L = 4, \ W = \frac{24}{4} = 6[/tex]

The width of the fence at least cost, W = 6 yards

Cost, C = 6·W + 9·L

Least cost, [tex]C_{min}[/tex] = 6 × 6 + 9 × 4 = 72

The least cost of the fencing, [tex]C_{min}[/tex] = $72.00

Learn more about the minimum values of a function here:

https://brainly.com/question/7243840

Answer:

A. $54,550.84

Step-by-step explanation:

48,000(1.0325)^4

48,000(1.136475928)

54,550.84455

Answer: 139

Step-by-step explanation:

(5^2+4)*5-2+(-4)

(25+4)*5-2+(-4)

29*5-2-4

145-2-4

139