F(x) = -0.1x^2+1.2x+8 what is max height, what is the point of release in which it occurs and how far does the ball travel horizontally before hitting the ground

The half-life of the radioactive goo is approximately 41.82 minutes. The formula for the amount of goo remaining at time t is G(t) = 296 * (1/2)^(t/41.82). After 38 minutes, there will be approximately 66.5 grams of goo remaining.

To find the half-life of the radioactive goo, we can use the formula for exponential decay:

N(t) = N₀ * (1/2)^(t/h)

where N(t) is the amount of goo remaining at time t, N₀ is the initial amount of goo, t is the time elapsed, and h is the half-life of the goo.

In this case, N₀ = 296 grams, N(t) = 9.25 grams, and t = 135 minutes. We can plug these values into the formula and solve for h:

9.25 = 296 * (1/2)^(135/h)

To solve for h, we can take the logarithm of both sides:

log(9.25) = log(296) + (135/h) * log(1/2)

Simplifying further:

(135/h) = (log(9.25) - log(296)) / log(1/2)

(135/h) ≈ -3.2279

h ≈ 135 / (-3.2279)

h ≈ -41.82

Since the half-life cannot be negative, we take the absolute value:

half-life ≈ 41.82 minutes (rounded to one decimal place)

The formula for the amount of goo remaining at time t (in minutes) can be written as:

G(t) = 296 * (1/2)^(t/41.82)

To find the amount of goo remaining after 38 minutes, we can substitute t = 38 into the formula:

G(38) = 296 * (1/2)^(38/41.82)

G(38) ≈ 66.5 grams (rounded to one decimal place)

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Answer:

true

Step-by-step explanation:

They are dependent because the outcome of the event affects them

Answer:

DO NOT ask questions here its a full scam my guy I for asking a hard question TRY Khan or RBL Groups

Step-by-step explanation:

I GOT 100+ HELP ON RBLX GROUPS IN 24 HOURS

Answer:

7/20

Step-by-step explanation:

Because 35% is 35/100 and then you it and you get 7/20

Answer:

40

Step-by-step explanation:

Hope that helped have a nice day!

The measure of the angle is 22. 6 degrees

To determine the angle marked as alpha, we need to know the different trigonometric identities, they include;

These identities also have their different ratios, given as;

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

sin θ = opposite/hypotenuse

Using the sine identity.

From the information given, we have that;

Opposite = 5

Hypotenuse side = 13

Now, substitute the values, we have;

sin α = 5/13

Divide the values, we get;

sinα = 0. 3846

Find the inverse

α = 22. 6 degrees

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The term refers to a thorough count, often known as a comprehensive enumeration.

Every unit, whether it be an individual or the entire population, is studied during a census. A comprehensive enumeration, which refers to an exhaustive count, is what is meant by the term.

A census is a survey that is carried out on the entire collection of observational objects that are a part of a certain population or universe. A census is a thorough count of a population or groups at a particular period in relation to clearly specified qualities, such as population, production, or traffic on specific roadways.

The population of a nation is counted during a census. It also provides information about those individuals, including their histories, possessions, and way of life. Censuses are a key decision-making tool for both governments and enterprises.

The correct answer is option C. A study of the durability of earthquake-proof building materials.

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Answer:

a) 5 pizzas need to be ordered and half of a pizza will be left over aka 0.5

b) $45

Step-by-step explanation:

Answer:

In the explanation I'm 80% sure it's this

Step-by-step explanation:

4 quarters in the pizza so

18 divided by 4= 4.5

4.5 rounded is 5 so she will need 5 pizzas because you can't buy 4 1/2 pizzas.

10*5= 50 so she will need to spend 50$ on the pizza.

The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

You mix 1/2 quart of blue paint for every 1/3 quart of red paint to make 5 quarts of purple paint.

Let 'x' be the amount of blue paint and 'y' be the amount of red paint. Then the equations are given as,

x / y = (1/2) / (1/3)

x / y = 3/2                        ...1

x + y = 5                          ...2

From equations 1 and 2, then we have

(3/2) y + y = 5

(5/2) y = 5

y = 2 quart

Then the value of 'x' is given as

x + 2 = 5

x = 3 quart

The amount of blue paint and red paint that you use will be 3 quarts and 2 quarts, respectively.

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The congruent reason for the triangles is (b) HL theorem

From the question, we have the following parameters that can be used in our computation:

Triangles = FGH and JHK

The SSS similarity theorem implies that the corresponding sides of the two triangles in question are not just similar, but they are also congruent

From the question, we can see that the following corresponding sides on the triangles:

Sides GH and HK

Sides FH and JK

These parameters are given in reasons (2) and (3) and it implies that these sides are congruent sides

For the triangle to be congruent by SSS, the following sides must also be congruent

GH must be congruent to HK

The above statement is true because point H is the midpoint of line GK

This is indicated in reason (2)

Hence, the congruent statement is SSS.

However, we can also make use of the HL theorem in (B)

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The first question:

"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"

Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.

To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:

P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.

Therefore, the probability of landing on both region three and region six is 1/64.

The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.

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

The second question:

"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"

To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.

The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.

The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.

To find the probability of either event occurring, we add the probabilities together:

P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.

Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.

The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.

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

The third question:

"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"

To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.

The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.

The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.

To find the probability of either event occurring, we add the probabilities together:

P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.

Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.

The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.

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The fourth question:

"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"

The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.

The probability of rolling an even number on the die is 3

/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.

To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:

P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.

Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.

The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.

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Answer: The multiplication of $.79 and 3.7 should be 2.923.

Given that,

The number is 0.79 and 3.7

We have to multiply both the numbers.

Based on the above information

$0.79

× 3.7

--------

5.53

+2.370

---------

2.923

Here the decimal should be moved three times to the left hand side as it tells the number of spaces that should be written in the real equation till the coming decimal.

In this way, the multiplication could be done of these two numbers.

Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.

In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.

For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:

Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).

Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).

Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).

In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.

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Using translation concepts, the function f(x) was evaluated by comparing to the graph of a base function g(x) = x².

A translation is signified by a change with in function graph, based on operations in its definition including such multiplication or sum/subtraction.

Thus, the resultant function is obtained as (X)=4(X+9)²

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Answer:

Zyfebefbdwg vd f vd f fudged banshee Hdhdhdjfjfhevdbdbevsbevwg

Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

Answer:

Each Tomskian build 6 igloos per week.

Each Kyzylian build 5 igloos per week.

Step-by-step explanation:

Answer:

x = 11

Step-by-step explanation:

All the sides of a rhombus are equal, so you can set the equations equal to one another.

2x + 46 = 7x - 9

Subtract 2x from both sides

46 = 5x - 9

Add 9 to both sides

55 = 5x

Divide both sides by 5

x = 11

Mark my answer as the brainliest if it helped you out!

Answer:

1/12

Step-by-step explanation:

Answer:

The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.

Step-by-step explanation:

o find the equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) using implicit differentiation, we can follow these steps:

Differentiate both sides of the equation with respect to x:

cos(x+y) * (1 + dy/dx) = 4 - 4dy/dx

Simplify by grouping the terms with dy/dx on one side and the rest on the other side:

cos(x+y) * (1 + dy/dx) + 4dy/dx = 4

Substitute x = π and y = π, since we want to find the equation of the tangent line at the point (π,π):

cos(2π) * (1 + dy/dx) + 4dy/dx = 4

Simplify:

-5dy/dx = 4 - cos(2π)

dy/dx = -4/5

Use the point-slope form of the equation of a line to write the equation of the tangent line:

y - π = (-4/5)(x - π)

Simplify:

y = (-4/5)x + (8/5) + π

The equation of the tangent line to the curve sin(x+y) = 4x - 4y at the point (π,π) is y = (-4/5)x + (8/5) + π.

Answer:

$20.44

Step-by-step explanation:

The average of a set of numbers is defined as:

\(\dfrac{\textrm{sum of values}}{\textrm{number of values}}\)

In this problem, we are shown a table where each row has a coupon value in the left column and the number of that coupon value in the right column (e.g., if we look at the top row, we can see there are 70 coupons each valued at $10).

So, the sum of values in this problem (i.e., the total number of dollars given out by the store in the form of coupons) is defined as the sum of the product of each row.

\(\textrm{sum of values} = (\$10 \times 70) + (\$20 \times 40) + (\$40 \times 20) + (\$60 \times 4) + (\$120 \times 2)\)

\(\textrm{sum of values} = \$700 + \$800 + \$800 + \$240 + \$240\)

\(\textrm{sum of values} = \$2780\)

The number of values in this problem is just the sum of the numbers in the right column (i.e., the number of coupons given out).

\(\textrm{number of values} = 70 + 40 + 20 + 4 + 2\)

\(\textrm{number of values} = 136\)

Finally, to answer the problem, we can plug the two numbers that we just solved for into the formula for the average of a set.

\(\textrm{average savings} = \dfrac{\textrm{value of all tickets}}{\textrm{number of tickets}}\)

\(\textrm{average savings} = \dfrac{\$2780}{136}\)

\(\textrm{average savings} \approx \$20.44\)

Answer:

The question is not complete

Answer:

mooltiplication

The solution is, Multiplication is a cows favorite type of math.

Gelett Burgess, author of The Purple Cow (1866–1951), I've never seen a Purple Cow and I've never hoped to; nevertheless, I can tell you that I'd much prefer see than be one. Death is a definite fact and a guarantee of life. Despite his unflinching devotion, Andrew Hudgins admits that the cow will inevitably die when it becomes feeble since he will slaughter it in stanza three. When she becomes too weak to provide us with fresh cream, we will cut her scarlet throat. Gelett Burgess, an American author, wrote a brief nonsensical poem titled "Purple Cow." In 1895, it was first printed.

here, we have,

In an experimental setup the independent variable is the one which can be changed and manipulated in an experiment the effect of which is observed on the dependent variable (s). The dependent variable is the one which cannot be manipulated in an experiment instead the changes occurring in a dependent variable are because of the manipulation of the independent variable. The dependent variable represents the outcome of the experiment.

According to the given situation, type of feed is the independent variable this is because of the fact that the there were two type of feeds were used one was experimented feed other was regular feed. The effect of both type of feeds has been observed on the weight of the cow which is the dependent variable.

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The value of the variable "x" is 11.

We have a triangle. The vertices of the triangle are K, L, and M. The side KM is extended from point M to point N. The measures of the angles MKL, LMN, and KLM are (3x + 19)°, (7x + 5)°, and (2x + 8)°, respectively. We need to find out the value of the variable "x".

The angles LMK and LMN form a linear pair. It means they are supplementary angles. The sum of the angles is 180°.

∠LMK + ∠LMN = 180°

∠LMK + (7x + 5)° = 180°

∠LMK = 180° - (7x + 5)°

In the triangle KLM, we will use the angle sum property of a triangle. The sum of all the angles in a triangle is equal to 180°.

∠K + ∠L + ∠M = 180°

(3x +19)° + (2x + 8)° + [180° - (7x + 5)°] = 180°

3x +19 + 2x + 8 + 180 - 7x - 5 = 180

-2x + 22 = 0

2x = 22

x = 11

Hence, the value of the variable "x" is 11.

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Answer:

B. QT = 18; TR = 8

Step-by-step explanation:

QT = x + 6

SR = 12

PS = 27

TR = x - 4

PR/SR = QR/TR (Similarity theorem)

PR = PS + SR = 27 + 12

PR = 39

QR = QT + TR = x + 6 + x - 4

QR = 2x + 2

Substitute

39/12 = (2x + 2)/(x - 4)

13/4 = (2x + 2)/(x - 4)

Cross multiply

13(x - 4) = 4(2x + 2)

13x - 52 = 8x + 8

Collect like terms

13x - 8x = 52 + 8

5x = 60

x = 60/5

x = 12

✔️QT = x + 6

Plug in the value of x

QT = 12 + 6

QT = 18

✔️TR = x - 4 = 12 - 4

TR = 8

Answer:

no 4 is not perfect cube and no 2 is perfect cube

Answer:

3. 2916

2. 1728

Step-by-step explanation:

1: 2197 = 13³

2: 512 = 8³

3: 2916 = 2² × 3² × 61

4: 343= 7³

==============

1: 1525 = 5² × 61

2: 1728 = 12³

3: 1458 = 2 × 9³

4: 3993= 3 × 11³

Answer:

C. 25

Step-by-step explanation:

Have a great day!

Answer:

I think it 31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

3+1=4

4+2=6

6+3=9

9+4=13

13+5=18

18+6=24

24+7=31

you start with one 3+1=4but everytime you add you add an extra 1

Answer:

0.75 or... 3/4 of a cup

Step-by-step explanation:

If helpful please give me brainliest.

Answer:

13.50 (12 servings)

Step-by-step explanation:

Step 1: Multiply the whole number by the denominator:

13 × 2 = 26

Step 2: Add the product you got in Step 1 to the numerator:

26 + 1 = 27

Step 3: Divide the sum from Step 2 by the denominator:

27 ÷ 2 = 13.5

That's it folks! The answer to 13 1/2 in decimal form is displayed below:

13 1/2 =