3)
The circumference of a circle is 14 cm. What is the radius of the circle?
Explain your reasoning.

Answer:

a) The object reaches its maximum height at t=2.5 seconds

b) The maximum height is 300 m

Step-by-step explanation:

Maximum Value of a Function

First derivative criteria:

If f(t) is a real continuous function of t and the first derivative of f called f'(t) exists, then solving the equation:

f'(t)=0

Gives the critical points of f, some of which could be maximum or minimum.

Second derivative criteria:

If t=t1 is a critical point of f(t) and the second derivative of f:

f''(t1) is positive, then t1 is a minimum of f

f''(t1) is negative, then t1 is a maximum of f.

f''(t1)=0, no conclusion can be drawn.

The height of the object is modeled by the function:

[tex]h(t) = -16t^2+80t + 200[/tex]

a)

To find the maximum height, we use the above criteria.

Find the first derivative:

h'(t) = -32t+80

Equate h'(t)=0

-32t+80=0

Solve:

[tex]-32t=-80[/tex]

[tex]t=80/32=2.5[/tex]

t=2.5 seconds

Find the second derivative:

h''(t)=-32

Since the second derivative is negative, the critical point is a maximum.

The object reaches its maximum height at t=2.5 seconds

b) Evaluate h(2.5)

[tex]h(2.5) = -16\cdot 2.5^2+80\cdot 2.5 + 200[/tex]

[tex]h(2.5) = -100+200 + 200[/tex]

h(2.5)=300 m

The maximum height is 300 m

Answer:

7 feet

Step-by-step explanation:

Volume of a cyclinder = πr^2h

Volume of a cyclinder = 1952

π = 3.14

r = ?

h = 2r

Volume of a cyclinder = πr^2h

1952 = 3.14 * r^2 * 2r

1952 = 3.14 * 2r^3

1952 = 6.28r^3

Divide both sides by 6.28

r^3 = 1952 / 6.28

= 310.83

r^3 = 310.83

Find the cube root of both sides

r = 6.77 feet

Approximately 7 feet

Answer:

B, it will float bc it is less dence. give me brainliest ;)

Step-by-step explanation:

Answer:

In the given expression, 10x + 8, the numerical coefficient is 10 and the literal coefficient is x. The number 8 is not considered as a coefficient since the value is a constant.

Answer: 10 + 8

Step-by-step explanation: If you want to find a coefficient you need to only remove the variable from the expression. For example what is the coefficient of 4x its 4. Please mark as the brainliest!

Answer: 6.75

Step-by-step explanation:

1/2 gallons = 0.75 grams

1 gallons = 1.5 grams

2 gallons = 3 grams

4 gallons = 6 grams

6 + 0.75 = 6.75

I hope this helped!

Answer:

Alternate interior angle theorem

Step-by-step explanation:

Answer:

For the second drop down menu I put third option.

Step-by-step explanation:

Answer:

a)The expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55

b)0.6004

c)19.607

Step-by-step explanation:

Let X denotes the number of fragments in 200 gm chocolate bar with expected number of fragments 10.2

X ~ Poisson(A) where [tex]\lambda = \frac{10.2}{200} = 0.051[/tex]

a)We are supposed to find the expected number of insect fragments in 1/4 of a 200-gram chocolate bar

[tex]\frac{1}{4} \times 200 = 50[/tex]

50 grams of bar contains expected fragments = \lambda x = 0.051 \times 50=2.55

So, the expected number of insect fragments in 1/4 of a 200-gram chocolate bar is 2.55

b) Now we are supposed to find the probability that you have to eat more than 10 grams of chocolate bar before ending your first fragment

Let X denotes the number of grams to be eaten before another fragment is detected.

[tex]P(X>10)= e^{-\lambda \times x}= e^{-0.051 \times 10}= e^{-0.51}=0.6004[/tex]

c)The expected number of grams to be eaten before encountering the first fragments :

[tex]E(X)=\frac{1}{\lambda}=\frac{1}{0.051}=19.607 gram[/tex]s

Answer:

Step-by-step explanation:

hockey canada

Answer:

The puck changes direction at  

✔ (25, 0) .

The puck goes into the opponent’s score zone located at  

✔ (50, 20)

, because the graph is  

✔ symmetric .

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The equation of the perpendicular line is y = -1/2x + 3. The correct option is (B).

A linear equation is a equation that has degree as one.

To find the solution of n unknown quantities n number of equations with n number of variables are required.

The coordinates of the given points are (-2, 0) and (0, 4).

The equation of the line for the given points can be written as follows,

(y - 4)/(x - 0) = (4 - 0)/(0 - (-2))

=> y - 4 = 2x

=> y = 2x + 4

Comparing the above equation with the general equation y = mx + c the  slope is given as,

m = 2

Now, the product of the slopes of two perpendicular lines is -1.

Thus, the slope of the perpendicular line is,

m' = -1/2.

In order to find the the correct answer compare all the options with general equation y = mx + c and check if the slope is -1/2 as below,

(a) y = 1/2x - 2

m = 1/2

(b) y = -1/2x + 3

m = -1/2

(c) y = 2x + 1

m = 2

(d) y = -2x + 4

m = -2

Hence, the equation for the line perpendicular to the given line is  y = -1/2x + 3.

To know more about linear equation click on,

https://brainly.com/question/11897796

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130 cannot go into 22.

22 can go into 130 5 times

130 can not go into 22 idk if u meant 22 into 130

Answer:

the answer is 7.5

Answer:

it is 7.1

Step-by-step explanation:

how i got my answer is because jasmine ran 8.2 minute per mile

and Katie was 1.1 slower than jasmine so we will have to subtract  like this

8.2

- 1.1

  7.1 so katie ran 7.1 minutes per mile

If Katie ran at a rate that was 1.1 minutes per mile slower than Jasmine's.She takes 29.2 minutes to run.

It is defined as the change in values of a dependent variable with respect to the independent variables. the rate of change of distance with respect to time denotes the speed i.e. m/sec.

It is given that, Katie ran 4 miles. She ran at a rate that was 1.1 minutes per mile slower than Jasmine.

Time is taken by Katie for the given rate,

T = 5 miles × 8.4 mins / mile

T = 42 minute

The rate for Jasmine,

r = 8.4 - 1.1

r=7.3

The time for which Katie run,

t = 4 × 7.3

t = 29.2 minute

Thus, if Katie ran at a rate that was 1.1 minutes per mile slower than Jasmine's. She takes 29.2 minutes to run.

The question is incomplete.

The complete question is"Katie ran 4 miles at a rate of 1.1 miles slower than jasmine how many minutes did Katie run if jasmine ran 5 miles at 8.4 minutes per mile"

Learn more about the rate of change here:

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Answer: −2x+y=−11

(4,-3) = −2x+y=−11.

Answer: −2x+y=−11.

Answer:

C. (-3x+6)(x+2)

Step-by-step explanation:

that should help you

Answer:

-4w+4

Step-by-step explanation:

Answer:

-4w+4 Is te correct answer

Answer:$758.53Step-by-step explanation:Xochintl has $201.60 and Yamka has 1.5 times of that which is $302.40 which equals 504.00 total and Zack has 2/3 times as Yamka which is $254.93:all together is 758.93 hope this helps

Answer:

3⁷

Step-by-step explanation:

When you multiplying or dividing numbers with exponents, you keep the base the same and specifically with dividing, you subtract the exponents themselves. So, you would be doing 3-(-4), which is 7.

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Exponents and power,

Since we know the concept that, any power in denominator of a fraction is shows as negative power when it comes to the Numerator of the fraction,like eg:-

[tex]1 \div ( {5}^{8} ) = {5}^{ - 8} [/tex]

so we apply here same,

also

[tex]1 \div ({5}^{ - 8} ) = {5}^{8} [/tex]

so we get as,

[tex] {3}^{3} \div {3}^{ - 4} = {3}^{3} \times {3}^{4} [/tex]

this is the answer.

Answer:

8,640

Step-by-step explanation:

Answer:

8X12X30X3 well we have to follow the order of operations. first 8X12=96

98X30=2880   2880x3=8640

Step-by-step explanation:

Answer:

sqr of 161

Step-by-step explanation:

8^2 + x^2 = 225

64+x^2 = 225

161=x^2

sqr of 161 = x

hope i helped!!!

Step-by-step explanation:

[tex] {15}^{2} - {8}^{2} = (15 + 8)(15 - 8) \\ = 23 \times 7 = 161[/tex]^-2

Answer:

C. -2n² - n + 5

Step-by-step explanation:

In expression C, the coefficient of the n term is -1;

  The expression in choice C is given as:

               -2n² - n + 5

The coefficient is the number before a variable;

  For n², the coefficient is -2

    for n, the coefficient is -1

Answer with step-by-step explanation:

Since you're calculating 1/6 of 2/3, you'd need to do 1/6 × 2/3, which would get you 1/9

Hope this helped!

Answer:

Greater

Step-by-step explanation:

.4*1.8 is .72

.72 is greater than .4

Answer:

Consider one of eight positions separately from all others. There are 10 possible ways to choose

a digit to place on this position since there are ten digits from 0 to 9, and this choice is

independent of all other positions since each digit can be repeated and there is no restriction on

how to choose digits.

So, we have 8 positions and each one is filled by a digit in 10 ways independently from each other,

therefore the total number of possible codes equals to ways it can be done for each independent

position multiplied altogether. This is 10 × 10 × … × 10 = 108

(100 million).

Answer: 108 different codes.

Step-by-step explanation:

Answer:

[tex]A = (32.7,47.7)[/tex]

Step-by-step explanation:

Given

[tex]M = (25.5,60.1)[/tex]

[tex]C = (18.3,72.5)[/tex]

Required

Determine the coordinates of A

Midpoint is calculated as thus:

[tex]M(x,y) = (\frac{A_x + C_x}{2}, \frac{A_y + C_y}{2})[/tex]

Substitute the given values

[tex](25.5,60.1) = (\frac{A_x + 18.3}{2}, \frac{A_y + 72.5}{2})[/tex]

Multiply through by 2

[tex]2 * (25.5,60.1) = (\frac{A_x + 18.3}{2}, \frac{A_y + 72.5}{2}) * 2[/tex]

[tex]2 * (25.5,60.1) = (A_x + 18.3, A_y + 72.5)[/tex]

[tex](51,120.2) = (A_x + 18.3, A_y + 72.5)[/tex]

By comparison:

[tex]A_x + 18.3 = 51[/tex]

[tex]A_y + 72.5 = 120.2[/tex]

[tex]A_x + 18.3 = 51[/tex]

[tex]A_x = 51 - 18.3[/tex]

[tex]A_x = 32.7[/tex]

[tex]A_y + 72.5 = 120.2[/tex]

[tex]A_y = 120.2 - 72.5[/tex]

[tex]A_y = 47.7[/tex]

Hence:

[tex]A = (32.7,47.7)[/tex]

Answer:

Variables are x, y, z

System of equations are;

2x + z = 49

31.49x + 9.75z = 625.61

Step-by-step explanation:

Let x represent uniforms, y represent volleyball, z represent a pair of knee pads.

We are told he bought 6 more balls than uniforms. Thus; y = x + 6

Since he is buying 55 items, thus equation that represents total number of items bought is;

x + y + z = 55

Since y = x + 6, then;

x + x + 6 + z = 55

2x + z = 49

We are told he purchased uniforms for $18.5 each, volleyball for $12.99 dollar each, knee pads for $9.75 dollar for each pair

Since he has a budget of $703.55.

Thus, equation that represents budget and amount for each item is;

18.5x + 12.99(x + 6) + 9.75z = 703.55

18.5x + 12.99x + 77.94 + 9.75z = 703.55

31.49x + 9.75z = 703.55 - 77.94

31.49x + 9.75z = 625.61