If the points are connected, what polygon is formed?
O heptagon
O octagon
O quadrilateral
O triangle

The temperature will be when you take the last sip 18 minutes after you poured it, will be 114.64 °F.

The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.

Isaac Newton proved that fluids cool exponentially when left out in an open space.

A cup of coffee was poured at a temperature of 210°F and left on the dining room table to cool.

If you start drinking it at a temperature of 150°F, 10 minutes later.

The exponential function is given as

[tex]\rm T_f = T_i (a)^{-t}[/tex]

Then the initial temperature will be 210°F.

[tex]\begin{aligned} 150 &= \rm 210 (a)^{-10}\\\\0.7143 &= \rm a^{-10}\\\\-0.146 &= \rm -10 \log a\\\\0.0146 &= \rm \log a\\\\\rm a &= \rm 1.0342 \end{aligned}[/tex]

Then the equation will be

[tex]\rm T_f = 210 (1.0342)^{-t}[/tex]

Then the temperature will be when you take the last sip 18 minutes after you poured it.

[tex]\rm T_f = 210 (1.0342)^{-18}\\\\T_f = 114.64 \ ^oF[/tex]

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60 is the amazing cool answer XD

After 1.959 years Evan's money has doubled in value and at that time Brandon have $43,481.78 in his account.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

Let's suppose, after t time, Evan's money has doubled in value.

[tex]\rm 2P = P(1+\dfrac{0.37}{4})^{4t}[/tex]

After solving

x = 1.959 years

Use x = 1.959 years to get how much money would Brandon have.

[tex]\rm A = P e^{rt}[/tex]

[tex]\rm A = 41000\times e^{0.03\times 1.959}[/tex]

A = $43,481.78

Thus, after 1.959 years Evan's money has doubled in value and at that time Brandon have $43,481.78 in his account.

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Answer:

81/5 or 16 1/5.

Step-by-step explanation:

First convert the mixed number to an improper fraction:

3 6/7

= (3*7 + 6) / 7

=  27/7.

So we have

27/7 / 5/21

Invert the second fraction and multiply:

= 27/7 * 21/5

= (27*21) / (7*5)

= (27*3) / 5        ( as 21/7 = 3)

= 81/5

= 16 1/5.

a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as 98 square feet

The perimeter is defined as the sum of all the sides of the figure. Now we have The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.

The correct area =15(2x + 7).

= 30x + 105 square feet

The error in Shawn’s expression is

= 15(2x + 7)

= 30x + 7 square feet

Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as

30x + 105 square feet - 30x + 7 square feet

= 30x + 105 - (30x + 7)

= 30x - 30x + 105 - 7

= 98 square feet

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Step-by-step explanation:

here is your answer, this is how it's solved

Answer:

8mm

Step-by-step explanation:

The volume of a cylinder is the base area times the height. The base is a circle, and we are not given the radius, so let the radius of the circle of the base of the circle be r. The area of a circle would be [tex]\pi r^{2}[/tex]. This multiplied by the height, which is 15, is [tex]15\pi r^{2}[/tex]. The volume is given to be 753.6, so we can make this an equation:

753.6 = [tex]15\pi r^{2}[/tex]

We are told to use 3.14 for pi, so:

[tex]753.6 = 15 * 3.14 * r^{2}[/tex]

[tex]r^{2} = 16[/tex]

[tex]r = 4[/tex]

The diameter is twice the radius, so the diameter is 8mm.

Answer:

8 mm

Step-by-step explanation:

Formula to find volume :

Volume (cylinder) = πr²h

⇒ 753.6 = 3.14 × r² × 15

⇒ 47.1 × r² = 753.6

⇒ r² = 753.6/47.1

⇒ r² = 16

⇒ r = 4 mm

Relating radius and diameter :

Diameter = 2 × Radius

⇒ Diameter = 2 × 4 mm

⇒ Diameter = 8 mm

Answer: If I am correct the answer is 201.06ft²

please do correct me if i am wrong.

Step-by-step explanation:

A=2πrh+2πr2=2·π·2·14+2·π·22≈201.06193ft²

Answer:

thhe answer would only be 3 feet

Step-by-step explanation:

To make an informed decision about the best place to invest money, there would have to be an evaluation of the best company and their annual profits.

This refers to the placing of money or asset with the hope and plan that it would appreciate after a certain period of time.

Hence, we can see that because your question is incomplete, a general overview has to be used, and thus, by the use of financial analysis by checking the annual profit over the last five years, the best choice would emerge.

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Answer:

A) The volume of the cylinder is 1017.9 in³.

B) The volume of the enlarged cylinder is 27,482.7 in³.

Step-by-step explanation:

The radius of the cylinder is r = 6 in and the height is h = 9 in.

The volume of a cylinder can be found using the formula:

Substitute r = 6 and h = 9 into the formula.

The volume of the cylinder is 1017.876 in³.

If the cylinder is enlarged by a factor of 3, this means that each dimension is getting increased by 3.

Therefore, we need to multiply the original volume by a factor of three cubed; 3³.

The volume of the enlarged cylinder is 27,482.652 in³.

Answer:

-128

Step-by-step explanation:

hope it helps srry if its wroung:>

Answer:

4.50(x)+75=299

Answer:

How to measure an angle with a protractor:

Place the midpoint of the protractor on the VERTEX of the angle.

Line up one side of the angle with the zero line of the protractor (where you see the number 0).

Read the degrees where the other side crosses the number scale.

Step-by-step explanation:

you can use a protractor to measure and draw angles. To measure angles with a protractor, first place the center point along the bottom edge of the protractor over the vertex of the angle you're measuring. Line up the bottom edge of the protractor with one leg of the angle.

Answer:

D .

Step-by-step explanation:

that is the answer to the question

Answer:

your answer should be c

Step-by-step explanation:

5 star?

If you vertically compress the absolute value parent function, f(x) = 1x1, by a factor of 3 then the equation of the new function is g(x) = (1/3)|x|

A relation is a function if it has only One y-value for each x-value.

The absolute value function, f(x) = |x|, has a "V" shape with the vertex at (0, 0).

f(x) can also be called as parent function.

A parent function is the simplest function that still satisfies the definition of a certain type of function

When we vertically compress the graph by a factor of 3, we are multiplying the y-value by 1/3.

So the new function g(x) can be expressed as:

g(x) = (1/3) f(x)

g(x) = (1/3)|x|

Hence, if you vertically compress the absolute value parent function, f(x) = 1x1, by a factor of 3 then the equation of the new function is g(x) = (1/3)|x|

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Answer:

6 , 9

Step-by-step explanation:

- 3 x - 4y = - 54
    4x + 4y = 60
Eliminate => x = 6

x + y = 15
when x =6  ; => y = 9

[tex]\text{If the number is x,}\\\\~~~~~\dfrac 47 \cdot x =36\\\\\implies 4x = 36 \times 7\\\\\implies x =\dfrac{36 \times 7}4\\ \\\implies x = 9 \times 7\\\\\implies x = 63\\\\\text{Hence, the number is 63.}[/tex]

Answer:

[tex]\huge\boxed{\bf\:x = 63}[/tex]

Step-by-step explanation:

Given,

Let's take the unknown number as 'x'.

Now,

4/7 × x = 36

Take the reciprocal of 4/7 to the other side of the equation .

x = 36 × 7/4

Cancel 36 by 4.

x = 9 × 7

Multiply the 2 numbers

x = 63

[tex]\rule{150pt}{2pt}[/tex]

Answer:

a=216

Step-by-step explanation:

Answer:

u < 25.

Step-by-step explanation:

u - 2 < 23

Add 2 to both sides:-

u  - 2 + 2 < 23 + 2

u < 23 + 2

u < 25.

Answer:

23+2>u

25>u

(25,-∞)

this is the answer

Answer:

Step-by-step explanation:

Answer:it ends at 11:00

Step-by-step explanation:8:30+2:30=11:00

Answer:

11:00

Step-by-step explanation:

8:30 + half an hour = 9:00

9:00 + 2 hours = 11:00

Answer:

Find the value of x

In this problem i will assume that  U,V and W are collinear and V is between U and W

so

----> by addition segment postulate

substitute the given values

solve for x

step 2

Find the value of VW

substitute the value of x

Step-by-step explanation:

Answer:

D. y = -1/8(x-2)² - 3

Step-by-step explanation:

General eqaution of a parabola : y = a(x-h)² + k where (h,k) is the vertex and a determines whether the parabola goes up or down as well as the width of the parabola

step 1 identify vertex

the vertex is the point that starts the curve

the vertex appears to be at (2,-3)

step 2 plug in h and k using the x and y values of the vertex

again we have  y = a(x-h)² + k where (h,k) is the vertex

here the vertex is (2,-3) so h = 2 and k = -3

we get y = a(x-2)² - 3

because the curve goes down a must be negative 1/8

so the final equation would be y = -1/8(x-2)² - 3 meaning D would be the answer

Answer:

258ft squared is possibly the answer

The area of the shaded region is Area of the Circle - Area of the Triangle + Area of the Square.

Hence, option D) is the correct answer.

From the diagram below;

To get the shaded region, we say;

Area of the Circle - Area of the Triangle + Area of the Square.

The area of the shaded region is Area of the Circle - Area of the Triangle + Area of the Square.

Hence, option D) is the correct answer.

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