The coffee merchant plans to mix some fancy $6.50 per pound ground coffee called royal soil with 10 pounds of a lowly $2 per pound ground called royal peasant. How many pounds of the $6.50 per pound ground coffee should he use?

Step-by-step explanation:

The height that your feet are above the ground is given by the function :

[tex]h(t) = -16t^2 +12t[/tex] ...(1)

We need to find the maximum height your feet will be above the ground.

For maximum height, put dh(t)/dt = 0

[tex]\dfrac{dh}{dt}=0\\\\\dfrac{d( -16t^2 +12t)}{dt}=0\\\\-32t+12=0\\\\t=0.375\ s[/tex]

Now put t = 0.375 s in equation (1) as follows :

[tex]h(t)=-16\left(0.375\right)^{2}+12\left(0.375\right)\\\\=2.25\ ft[/tex]

So, the feet will be 2.25 feet above the ground. Yes, you will be able to dunk the basketball.

Answer:

[tex]a_c=4.17\ m/s^2[/tex]

Step-by-step explanation:

Centripetal Acceleration

It's the acceleration of an object moving in a uniform circular motion that pushed the object toward the center.

Its magnitude can be calculated as follows:

[tex]\displaystyle a_c=\frac{v^2}{r}[/tex]

Where:

v = tangential speed

r  = radius of the circle

The ball is tied to a string describing a circular motion with a radius of r=1.5 m. The tangential speed is v=2.5 m/s, thus the acceleration is:

[tex]\displaystyle a_c=\frac{2.5^2}{1.5}[/tex]

[tex]\displaystyle a_c=\frac{6.25}{1.5}[/tex]

[tex]\mathbf{a_c=4.17\ m/s^2}[/tex]

Answer:

(x,y)=(-4/5,10/19)

Step-by-step explanation:

x+2y=3

x-8y=-16

x+2y=3

-x+8y=16 (multiply both sides by-1)

10y=16

y=16/10

x+2(16/10)=3

x=-4/5

Your Answer should be 16

Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].

What is the diagonal?

A polygon is defined as a flat or plane, two-dimensional closed shape bounded with straight sides.

A diagonal is a line segment connecting the opposite vertices (or corners) of a polygon. In other words, a diagonal is a line segment connecting two non-adjacent vertices of a polygon.

Here given that,

In the diagram below of rectangle [tex]RSTU[/tex], diagonals [tex]RT[/tex] and [tex]SU[/tex] intersect

at [tex]O[/tex]. If [tex]RT = 6x + 4[/tex] and [tex]SO = 7x - 6[/tex],

[tex]US=SO(2)\\\\US=7x-6(2)\\\\US=14x-12[/tex]

So,

[tex]6x+4=14x-12\\\\4+12=14x-6x\\\\16=8x\\\\x=\frac{!6}{8}\\\\x=2[/tex]

Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].

To know more about the diagonals

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#SPJ2

Answer:

25%

Step-by-step explanation:

Hopefully this is correct!

Answer: 9 1/3%

Step-by-step explanation:

Answer: To distinguish, when using part-to-part ratios, you have to put a 2 numbers that can be summed to the total. Part-to-whole relationships is put from half or a number that doesn’t go over the total can be described as a part-to-whole.

Step-by-step explanation:

Answer:

part to part is comparing one part of a group to another part of the group but part to whole is comparing one part of the group to the enire group

Step-by-step explanation:

A example when looking trail mix would be:

Part to part: comparing the number of peanuts to the number of raisins

Part to whole: comparing the number of peanuts to the entire bag of trail max

Answer:

B

Step-by-step explanation:

Answer:

Jason has read 50 pages.

Step-by-step explanation:

25% of 200 = 50

Remember "of" means multiply so you multiply 25% to 200

25% x 200

Convert 25% into a decimal

0.25 x 200 = 50

So Jason has read 50 pages.

Step-by-step explanation:

an² = 182

When a = 2, n² = 182/2 = 91, n = 9.539...

When a = 5, n² = 182/5 = 36.4, n = 6.033...

Since 2 <= a <= 5, we have 6.033 <= n <= 9.539.

Therefore our possible values of n are 7, 8 and 9.

The possible values of n are 7, 8, 9

The given equation is:

an²  =  182

Make n the subject of the formula:

[tex]n^2=\frac{182}{a} \\n = \sqrt{\frac{182}{a}}[/tex]

Let us consider the minimum and maximum values of a:

when a = 2

[tex]n = \sqrt{\frac{182}{2}}\\n = \sqrt{91} \\n = 9.54[/tex]

When a = 5

[tex]n = \sqrt{\frac{182}{5}}\\n = \sqrt{36.4} \\n = 6.03[/tex]

We can conclude that 6.03 < n < 9.54

Since n is an integer, the possible values of n are 7, 8, 9

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Answer:

The volume of the 80% ammonia that is to be drained before water is added is 7.5 quartz

Step-by-step explanation:

The volume of the ammonia and water mixture = 5 gallons

The percentage of ammonia in the mixture = 80%

The volume of ammonia desired = 5 gallons

The percentage concentration of ammonia desired = 50%

The diluting solution = Pure water

The measure of 4 quarts = 1 gallon

Therefore, we have, by equivalence solutions;

80% × x gallon = 50% × 5 gallons

x gallon = 50% × 5 gallons/(80%) = 3.125 gallons

x = 3.125 gallons

The volume of the 80% ammonia that is to be drained = 5 gallons - 3.125 gallons = 1.875 gallons

4 quarts = 1 gallon

1 gallon = 4 quarts

∴ 1.875 gallons = 4 × 1.875 quartz = 7.5 quartz

The volume of the 80% ammonia that is to be drained before water is added = 7.5 quartz

Answer:

7.5

Step-by-step explanation:

Answer:

12.5%

Step-by-step explanation:

it easy

12.5 percent

its simple

Answer:

✔ 360°

Identify the following angle measures.

m∠2 = ✔ 60

m∠4 = ✔ 150

m∠6 = ✔ 90

Step-by-step explanation:

i just finished answering the question

Answer:

C

B

B

C

Step-by-step explanation:

for the lazy ppl

Answer:

64

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

to square smt means to multiply it by itself

Answer:

x = 25

Step-by-step explanation:

A segment joining the midpoints of 2 sides of a triangle is half the length of the third side, that is

x - 8 = [tex]\frac{1}{2}[/tex] × 34 = 17 ( add 8 to both sides )

x = 25

Answer:

A.) quarantine of the sick

Step-by-step explanation:

A lot of people on this same question were saying that A is right.

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

Please do not come at me...

Answer:

It's C: vaccination against disease

Step-by-step explanation:

I know many people are saying A, B, or D but their all wrong I picked C and got it correct. Hope this helped (sorry I'm late)

Answer:

45

Step-by-step explanation:

180 - 75 = 105

105 - 15 = 90

45 x 45 = 90

Answer:

75+2x+15=180

2x=90. x=45

Answer:

48 units

Step-by-step explanation:

The length of line segment DB is 48 units

Parallelograms are shapes with opposite parallel sides

Start by calculating the measure of t using:

AE = CE --- the diagonals

So, we have

3t - 14 = t + 2

Collect like terms

3t - t = 14 + 2

Evaluate

t = 8

The length of segment DB is calculated as;

DB = 2 * DE

So, we have:

DB = 2 * (2t + 8)

Substitute 8 for t

DB = 2 * (2* 8 + 8)

Evaluate

DB = 48

Hence, the length of line segment DB is 48 units

Read more about parallelograms at:

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Answer:

r=[tex]\frac{c}{2\pi }[/tex]

Step-by-step explanation:

Answer:

787.5

Step-by-step explanation:

Givens

The bottom part of the figure is a trapezoid. Solve it first

a = 15 cm

b = 34 cm

h = 19 cm

Formula

Area = 1/2 (a + b)*h

Solution Trapezoid

area = 1/2 (15 + 34)*19

Area = 1/2 * 49 * 19

Area = 465.5

Remark

The top half of the figure is a parallelogram.

Formula

Area = base * height

Givens

base = 23

height = 14

Solution

Area = 23 * 14

Area = 322

Total Area

Total Area = 322 + 465.5

Total Area = 787.5

Answer:

r = 2

r = -1

Step-by-step explanation:

So first, we need to get this is order of: ax^2 + bx + c

3r^2 - 6 - 3r

3^2 - 3r - 6

the formula is: -b ± √b^2 -4ac/2a

"ax^2 + bx + c" = "3^2 - 3r - 6"

a = 3

b = -3

c = -6

-b ± √b^2 -4ac/2a

-(-3) ± √(-3)^2 -4(3)(-6)/2(3)

3 ± √9 + (-12)(-6)/6

3 ± √9 + (72)/6

3 ± √9 + 72/6

3 ± √81/6

3 ± 9/6

3 - 9/6

-6/6

-1 = r

3 + 9/6

12/6

2 = r

Formula down below --

                                      |

                                     V

Answer:

B, A vertical translation of 2 units.

Step-by-step explanation:

Its going up which means its positive NOT negative, vertical is up and down. Please put me branliest if I'm right which I'm very sure I am. Hoped I helped!

Answer:

slope is 1/2 and the y intercept is -1

Answer:i don’t really k ow but i need points to ask questions

Step-by-step explanation:

Answer:

Its D i had to guess but got it right :)

Step-by-step explanation:

Answer:

George Washingmachine

Step-by-step explanation:

Answer:

[tex]706.858[/tex] [tex]ft^{2}[/tex] ([tex]3[/tex] d.p)

Step-by-step explanation:

Convert first:

[tex]12 \div 2 = 6[/tex]

[tex]6 \times 5 = 30[/tex] [tex]ft[/tex]

Area of circle = [tex]\pi r^{2}[/tex]

[tex]= \pi (30\times \frac{1}{2})^{2}[/tex]

[tex]= 225\pi[/tex]

[tex]= 706.858[/tex] [tex]ft^{2}[/tex]([tex]3[/tex] d.p)

Hope this helps :)