Three friends are starting a food truck and are contributing a total of $140,000 to begin operations. Their investments are in the ratio of 3:4:7. What is the difference in investment between the smallest investor an largest investor?

Answer:

It is 12.5

Step-by-step explanation:

It is because the formula of finding the volume of a rectangular prism is area of the base x height.

So you do 200 divided by 16 (Which is the height) which equals 12.5

Answer:

The height of the prism is 12.5 units.

Step-by-step explanation:

Volume formula:  V = (length)(width)(height)

or                           V = (area of base)(height)

Here, we want to calculate the height.  The appropriate formula is

(height) = (volume) / (area of base) = (200 units³) / (16 units²) = 12.5 units

The height of the prism is 12.5 units.

1. First two pictures below.

2.Both of them have large clusters that are a couple spaces away. The range is greater with June 2013.  

3. Second two pictures below. The third pic is June 1985 and fourth is June 2013.

4. The spread is smaller for June 1985. The boxes are seem to have the same proximity to each other which shows a tight center between the two box plots.

May be to late, but I'll post my answers to your questions anyway :)

Final answer:

Without specific temperature data, we cannot create the comparative dot plots and box plots requested by the student. Instructions have been provided on how to create and analyze them once the data is available.

Explanation:

To answer the student's question about comparing the high temperatures for Dallas, Texas in June 1985 and June 2013 using comparative dot plots and comparative box plots, we first need the individual temperature data for each June to create these graphs. Unfortunately, without the specific data, we are unable to create the plots.

However, we can discuss how to approach this problem. To create a comparative dot plot, you would list the temperatures for each data set on a horizontal line, each set represented by dots. Then, assess the degree of overlap by visually inspecting where the dots from both data sets lie in relation to each other. Compare their shapes, centers, and spreads by observing the clustering of the dots, the location of the “middle” of the dots, and how far the dots extend out from the center.

For the comparative box plot, you would draw two box plots on the same axis. A box plot displays the minimum, first quartile, median (or second quartile), third quartile, and maximum. Assess the degree of overlap by comparing where the boxes and whiskers of the plots are positioned in relation to each other, again paying attention to the centers (medians), spreads (interquartile ranges), as well as the overall range of data. Both types of plots can help ascertain whether the high temperature in June of each year was significantly different from the other, and how each year's temperatures compare to the historical average.

Answer:

80 mph

Step-by-step explanation:

Since Natasha is driving at a rate of 4 miles every 3 minutes, we are asked to find her speed in mph. Since there are 60 minutes in an hour, we can make a proportion: 4/3 = x/60. Solving for x, we get x to be 80. So Natasha is driving at 80 miles an hour.

Answer:

80 miles per hour

Step-by-step explanation:

60 / 3 = 20

4 x 20 = 80

Answer:

is b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Apply the Pythagorean Theorem:   hyp² = 7² + (-4)² = 49 + 16 = 65.

The magnitude of this vector <7, -4> is 8.1, to the nearest tenth.

Answer:

A.

Step-by-step explanation:

The question is on laws of logarithms

For example to find the log₁₀ 100

⇒log₁₀ 100 = 2................how?

we take In 100 / 1n l0 = 2

where  10²=100

⇒Thus   logₓ y = In y / In x

Answer:

I can tell you that B is NOT correct as I got it wrong.  I bet the right answer is C as it is holding steady at 1:95.

Step-by-step explanation:

These are the choices for Plato

A. The exchange rate between the U.S. dollar and the yen changes from 1:95 to 1:102.

B. The exchange rate between the U.S. dollar and the euro changes from 1:95 to 1:92. - Wrong answer

C. The exchange rate between the U.S. dollar and the euro remains 1:95

QUESTION 5

The given equation is:

[tex] \frac{5}{a + 3} = \frac{3}{a - 2} [/tex]

Cross multiply;

[tex]5(a - 2) = 3(a + 3)[/tex]

Expand:

5a-10=3a+9

Group similar terms:

5a-3a=9+10

2a=19

Divide both sides by 2

[tex]a = \frac{19}{2} [/tex]

[tex]a = 9\frac{1}{2} [/tex]

The correct answer is C.

QUESTION 7

The given equation is:

[tex] \frac{3}{y - 2}= 8[/tex]

There is an invisible 1 in the denominator on the RHS.

[tex] \frac{3}{y - 2}= \frac{8}{1} [/tex]

Cross multiply:

[tex] 3\times 1 = 8(y - 2)[/tex]

Expand:

[tex]3= 8y - 16[/tex]

Group similar terms,

[tex]3 + 16 = 8y[/tex]

[tex]19 = 8y[/tex]

Divide both sides by 8.

[tex]y = \frac{19}{8} [/tex]

[tex]y = 2 \frac{3}{8} [/tex]

The correct answer is C.

QUESTION 8

The given fraction is:

[tex] \frac{ {w}^{2} + 5w + 6}{ {w}^{2} - w - 12 } [/tex]

Factor both the numerator and the denominator to obtain:

[tex] \frac{(w + 3)(w + 2)}{(w + 3)(w - 4)} [/tex]

Cancel the common factors;

[tex]\frac{w + 2}{w - 4} [/tex]

The correct answer is B.

QUESTION 9

The given expression is;

[tex] \frac{3m}{m - 6} \times \frac{5 {m}^{3} - 30 {m}^{2} }{5 {m}^{2} } [/tex]

Factor the numerator of the second fraction.

[tex]\frac{3m}{m - 6} \times \frac{5 {m}^{2}(m - 6)}{5 {m}^{2} }[/tex]

Cancel the common factors,

[tex] \frac{3m}{1} [/tex]

[tex] = 3m[/tex]

The correct answer is D.

QUESTION 10

The given expression is:

[tex] \frac{7x + 21}{ {x}^{2} + 5x + 6} \div \frac{x + 6}{x + 2} [/tex]

Multiply by the reciprocal of the second fraction.

[tex]\frac{7x + 21}{ {x}^{2} + 5x + 6} \times \frac{x + 2}{x + 6} [/tex]

Factor the first fraction to get:

[tex]\frac{7(x + 3)}{ (x + 2)(x + 3)} \times \frac{x + 2}{x + 6} [/tex]

Cancel the common factors:

[tex] \frac{7}{x + 6} [/tex]

The correct answer is A.

Answer:

D) No, corresponding angles are not congruent and corresponding sides are not proportional.

;]

Step-by-step explanation:

Answer:

the answer is D i just answered it with D and its correct

good luck on your assignment :)

Step-by-step explanation:

So if we have the number after the 36% increase in population, we would want to subtract that 36% from 51000.

36% of 51000 can be found by multiplying 51000 by 0.36 (0.36 is the decimal equivalent of 36%)

51000 x .36 = 18360

So you simply subtract 18360 from 51000, which is 32,640.

Step-by-step explanation:

The triangles are congruent isosceles, therefore LM ≅ MN ≅ NO ≅ OL.

All four sides are equal, so be definition, quadrilateral LMNO is a rhombus.

Answer:

LMNO is a rhombus

Step-by-step explanation:

btw i love ur pfp! BLM

C. bc chickens have two legs each making it 12 chickens times 2 legs equal 24 plus the remaining 25 animals (pigs) would be 25x4=100+24 chicken legs = 124

For this case we have that the pigs have 4 legs while the hens have 2.

We propose a system of equations:

x: Variable representing the number of pigs

y: Variable representing the number of chickens

[tex]x + y = 37\\4x + 2y = 124[/tex]

We multiply by -4 the first equation:

[tex]-4x-4y = -148[/tex]

We add the equations:

[tex]-4x-4y = -148\\4x + 2y = 124\\-4y + 2y = -148 + 124\\-2y = -24\\y = \frac {24} {2}\\y = 12[/tex]

So, there are 12 chickens.

[tex]x + 12 = 37\\x = 37-12\\x = 25[/tex]

There are 25 pigs.

ANswer:

25 pigs

12 chickens

Option C

Answer:

- The center of hyperbola is (-2 , 3)

- The left vertex, if the hyperbola opens horizontally, or the

  bottom vertex, if it opens vertically, is (-6 , 3)

- The other vertex is (2 , 3)

Step-by-step explanation:

* Lets study the equation of the hyperbola

- The standard form of the equation of a hyperbola with  

  center (h , k) and transverse axis parallel to the x-axis is

  (x - h)²/a² - (y - k)²/b² = 1, Where

- The length of the transverse axis is 2a

- The coordinates of the vertices are (h ± a , k)

- The length of the conjugate axis is 2b

- The coordinates of the co-vertices are (h , k ± b)

- The coordinates of the foci are (h ± c , k), where c² = a² + b²

* Now lets solve the problem

∵ (x + 2)²/4² - (y - 3)²/5² = 1

∵  (x - h)²/a² - (y - k)²/b² = 1

∴ a = 4 , b = 5

∴ h = -2 , k = 3

∵ The center of the hyperbola is (h , k)

∴ The center of hyperbola is (-2 , 3)

∵ The coordinates of the vertices are (h + a , k)  , (h - a , k)

∴ The coordinates of the vertices are (-2 + 4 , 3)  , (-2 - 4 , 3)

∴ The coordinates of the vertices are (2 , 3)  , (-6 , 3)

∴ The left vertex, if the hyperbola opens horizontally, or the

  bottom vertex, if it opens vertically, is (-6 , 3)

∴ The other vertex is (2 , 3)

The center of a hyperbola is determined by the coordinates (h, k) in its equation. The vertices are the points where the hyperbola intersects its major axis, and their positions depend on whether the hyperbola opens horizontally or vertically. If it opens horizontally, the left vertex is at (h - A, k), and if it opens vertically, the bottom vertex is at (h, k - B).

In the equation of a hyperbola, the center of the hyperbola can be found by identifying the coordinates (h, k). These are the constants in the denominators of the fractions on the left-hand side of the equation. For instance, in the equation ((x-h)²/A²) - ((y-k)²/B²) = 1, the center would be at the point (h, k).

The vertices of the hyperbola are the points where the hyperbola intersects its major axis. If the hyperbola opens horizontally, the left vertex will be located at the coordinate (h - A, k), and the other vertex will be at (h + A, k). If the hyperbola opens vertically, the bottom vertex will be at the coordinate (h, k - B), with the other vertex at (h, k + B).

Remember, A represents the distance from the center to a vertex along the major axis, and B represents the distance from the center to a vertex along the minor axis.

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Answer:

it is d

Step-by-step explanation:

formula of sphere=4/3* pi*r cubed

Answer:

D

Step-by-step explanation:

A is nothing.

B is the surface area

C is nothing

D is the volume of a sphere.

Check the picture below.

Answer:

B. 7.5 square units.

Step-by-step explanation:

We have been given an image of a right triangle. We are asked to find area of our given triangle.

We can see that base of our given triangle is 5 units as difference between point S and point T is 5 units.

[tex]2--3=2+3=5[/tex]

The height of our given triangle (RT) is 3 units.

[tex]1--2=1+2=3[/tex]

[tex]\text{Area of triangle}=\frac{1}{2}\times \text{Base}\times \text{Height}[/tex]

[tex]\text{Area of triangle}=\frac{1}{2}\times \text{5 units}\times \text{3 units}[/tex]

[tex]\text{Area of triangle}=\frac{1}{2}\times 15\text{ units}^2[/tex]

[tex]\text{Area of triangle}=7.5\text{ units}^2[/tex]

Therefore, area of our given triangle is 7.5 square units and option B is the correct choice.

Find the area of the square, which has a side length of 2.

Area of square = 2 x 2 = 4  

Now multiply the area by the length b

Volume = 4 x 5 = 20 square units total.

Answer:

6

Step-by-step explanation:

Arc length = radius * central angle

s = rθ

A circle is 2π radians, so 1/3 of that is 2/3 π.

Given that s = 12 and θ = 2/3 π:

12 = r (2/3 π)

r = 18/π

r ≈ 6

Answer:

20/28 which is about 71%

Step-by-step explanation:

so first you add up how many balls there are. 8+20=28. So 28 is the denominator for the fraction. there are 20 black balls, so that is the numerator. so 20/28 is the fraction. then you divide 20 by 28 to get the rounded percent.

The number is 3.

3x3 is 9, which is 3 less than 12.

Answer:

The number is 5.

Step-by-step explanation:

12 plus 3 is 15.

5 x 3 = 15

15 - 3 = 12

3 less than 3 times a number is 12.

It sounds like 3 less from a number IS 12. So adding 3 to 12 will get 15, and 15 divided by 3 equals 5.

I hope this is correct and that it helps! :)

There’s twenty over nine pounds

Answer:

2.22..

Step-by-step explanation:

First you divide four by nine to get 0.44..

then you multiply that by five to get your answer which is 2.22.. , Two Point Two repeating, 20/9, 2 2/9 or Two and Two Ninths.

Answer is y = 3sin2(x - pi/4).

Answer:

[tex]f^{-1}(x)=\frac{x}{2}-\frac{1}{2}[/tex]

Step-by-step explanation:

It is called an inverse or reciprocal function of [tex]f[/tex] to another function [tex]f^{-1}[/tex] that fulfills that:

If [tex]f(a)=b[/tex], then [tex]f^{-1} (b)=a[/tex]

To calculate the inverse of the function [tex]y=2x+1[/tex]

[tex]f(x)=y[/tex]

So, rewritting the function

[tex]f(x)=2x+1[/tex]

Changing the x for y

[tex]x=2y+1[/tex]

Let's clear y

[tex]y=\frac{x-1}{2}[/tex]

Ordering the function above

[tex]y=\frac{x}{2}-\frac{1}{2}[/tex]

So, the inverse of the function [tex]f(x)=2x+1[/tex] is:

[tex]f^{-1}(x)=\frac{x}{2}-\frac{1}{2}[/tex]

.

Answer:

15% apex confirmed

Step-by-step explanation:

The taxpayer and his spouse, with a combined taxable income of $27,900, will fall into the 15% tax bracket for a married couple filing jointly for the 2020 tax year.

The subject of this question is the United States Federal Income Tax Brackets. The taxpayer and his spouse have a combined taxable income of $14,200 + $13,700 = $27,900. For the 2020 tax year, a married couple filing jointly with taxable income between $0 and $19,750 fall in the 10% tax bracket, while those with taxable income between $19,751 to $80,250 are in the 15% tax bracket. So, the taxpayer and his spouse, with their combined taxable income, will fall into the 15% tax bracket. Their taxable income exceeds the threshold for the 10% tax bracket and does not reach the threshold for the 38% bracket. Please note, it's important to stay informed about tax brackets as they can change annually.

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Answer:

you must solve the question.

Step-by-step explanation:

it would be when we're solving a formula for himself a variable we must solve it.

Answer:

isolate

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Using the coefficients of each term and evaluating for h = - 4

- 4 | 1   - 7   - 7   20

      ↓   - 4   44   - 148

     ---------------------------

      1   - 11   37   - 128 ← remainder

Quotient = x² - 11x + 37 , R - 128

Answer:

162.4 in²

Step-by-step explanation:

The area (A) of a regular octagon is

A = [tex]\frac{1}{2}[/tex] perimeter × apothem

here perimeter = 8 × 5.8 = 46.4 in, hence

A = 0.5 × 46.4 × 7 = 162.4 in²

Answer:

  c(3) is the largest

Step-by-step explanation:

For positive values of x, j(x) > a(x), so the comparison is between c(x) and j(x).

Without evaluating the functions, you can subtract 5x from them to get ...

  c'(x) = c(x) -5x = 3x² +22

  j'(x) = j(x) -5x = 7x

Now the question is whether c'(3) is larger than j'(3). The latter is ...

  j'(3) = 7·3 = 21

Since c'(3) has an added constant of 22 and x² will be positive, we know that ...

  c(3) > j(3) > a(3)

The function with the largest value at x=3 is c(x).

_____

You can, of course, simply evaluate the functions:

  c(3) > j(3) > a(3) . . . . . . . c(3) is the largest

Answer:

It’s D

Step-by-step explanation:

a(x)

d. $0.53 because..

3/5.25 = 1/1.75

5/9.75 = 1.95

7/12.60 = 1.80

10/14.20 = 1.42

12/18.24 = 1.52

then do ;

most expensive deal - least expensive deal = how much he’ll save

1.95 - 1.42 = .53

Answer: The answer would be D.

like she said down there !

!

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

Each Monday, Luke spends $5 ($3 for the muffin, $2 for the juice). To figure out how much he spends in 6 weeks, you multiply $5 by 6. Hope this helps! :)