9) Kim's scores in the diving competition were 7.2, 6.975, 8.0, and 6.96. What is her total score?

On performing addition exercises we get 10 , 11 , 10 , 14 , 17 , 9 , 11 , 10 , 17,  10 , 13 , 12 , 14 , 3 , 9 , 8 , 6 , 11 , 14 , 14 , 16 , 21 .

What is Addition ?

Addition can be defined as the performing addition operation by using operand + between two operators.

3 + 7 = 10

2 + 9 = 11

4 + 6 =10

5 + 9 =14

12 + 5 =17

6 + 3 =9

8 + 3 =11

10 + 0 = 10

9 + 8 = 17

1 + 9 = 10

7 + 6 = 13

9 + 3 =12

6 + 8 = 14

0 + 3 = 3

3 + 6 = 9

7 + 1 = 8

4 + 2 =6

4 + 7 = 11

11 + 3 = 14

7 + 7 = 14

9 + 7 = 16

12 + 9 =21

Hence, On performing addition exercises we get 10 , 11 , 10 , 14 , 17 , 9 , 11 , 10 , 17,  10 , 13 , 12 , 14 , 3 , 9 , 8 , 6 , 11 , 14 , 14 , 16 , 21 .

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Answer:

Everything but C.

I think.

Step-by-step explanation:

Similar triangles have the same angles and ratios of side lengths.

Do not be surprised if I'm wrong about B.

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

∠A = 41.81°

To get measure of angle A, we would apply trigonometry ratio SOHCAHTOA:

opposite = side opposite the angle = 4

hypotenuse = 6

adjacent = base = AC = ?

Since we have been given the opposite and the hypotenuse, we would use the sine ratio:

Sin A = opposite/hypotenuse

Sin A = 4/6

sin A = 0.6667

A = 41.8129 degrees

To the nearest hundredth, ∠A = 41.81°

Answer:

130 calories

Step-by-step explanation:

If 6 granola bars have 780 calories then you divide the number of calories in 6 granola bars by the number of granola bars. 780 divided by 6. This here you will get the number of calories for one granola bar.

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

it is inequalities

- thank you

The number of children ticket sold is 90 while the number of adult ticket sold is 200.

Math land theatre charges $5.00 for children's tickets and $9.00 for adult tickets. One night the theatre sold 290 tickets and took in $2250.

Therefore, let's find the number of each type of ticket sold as follows:

Hence,

Let

Therefore, using equation,

c + a = 290

5c + 9a = 2250

Multiply equation(i) by 5

5c + 5a = 1450

5c + 9a = 2250

subtract the equation

4a = 800

divide both sides by 4

a = 800 / 4

a = 200

Therefore, let's find c

c = 290 - 200

c = 90

Hence,

number of children's ticket = 90

number of adult tickets = 200

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Answer:

\(4x+17\)

Step-by-step explanation:

1) Distribute

\(5(x+3)-x+2\\5x+15-x+2\)

2) Add the numbers

\(5x+15-x+2\\5x+17-x\)

3) Combine like terms

\(5x+17-x\\4x+17\)

Answer:

4x+17

Step-by-step explanation:

So first we are going to have to use the distributive property

so

5*x and 5*3

Which is

5x and 15

So then we have,

5x+15-x+2

Now we just combine like terms

=4x+17

Hope this helps!! :)

It would take approximately 8.13 seconds for an object to fall from the top, assuming it falls freely from rest and ignoring air resistance.

what is resistance?

Resistance is a property of a material or circuit component that opposes the flow of electric current or the movement of an object through a fluid or gas. In the context of electric circuits, resistance is measured in units called ohms

what is falls freely means?

When an object is falling freely, it means that the only force acting on it is gravity, and there is no other force resisting its motion. In other words, the object is not being pushed or pulled by any other force apart from the force of gravity.

In the given question,

To solve the problem, we can set the formula for distance equal to the given height and solve for t:

s = 16t²

1060 = 16t²

Dividing both sides by 16 gives:

66.25 = t²

square root of both sides give us:

t = ±8.13

time cannot be negative, so let us take the positive value:

t = 8.13 seconds

Therefore, it would take approximately 8.13 seconds for an object to fall from the top, assuming it falls freely from rest and ignoring air resistance.

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The area of the circle created by the paint is given by the expression 4πt².

The area of the circle is 100π, which is approximately 314.16 in².

The circle will be at least 300 in² in 5 minutes. Yes.

To find the area of the canvas, we multiply the lengths of its sides:

Area = (3x + 5) × (2x + 1)

Expanding the expression:

Area = 6x² + 3x + 10x + 5

Combining like terms:

Area = 6x² + 13x + 5

The area of the canvas is given by the expression 6x² + 13x + 5.

Now, let's find the area of the circle created by the paint.

The area of a circle is given by the formula A = πr², where r represents the radius.

The radius is given by the spreading of paint, which is r(t) = 2t.

Substituting the value of r(t) into the formula, we have:

A[r(t)] = π(2t)²

Simplifying:

A[r(t)] = π(4t²)

A[r(t)] = 4πt²

Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.

Substitute t = 5 into the area formula:

A[r(5)] = 4π(5)²

A[r(5)] = 4π(25)

A[r(5)] = 100π

Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.

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Answer:

Hi,

The equation of a linear function has the following format:

\(y = mx + b\)

Where  represents the value of   for when   is equal to zero.

Therefore, 8795 can be considered the initial value for production.

Step-by-step explanation:

The graph of a linear function is the same as the example below:

As noted in the figure, the value of \(b\) provides the value of \(y\) when \(x\) is null. This is also called the linear coefficient of the line (or intercept)

The value of \(m\)  represents the rate of change of the function and is linked to the slope of the line.

Any questions just ask in the comments.

Since the equation given is f(d) = 325d +8,795, the value that 8,795 represent in this situation is the initial cost.

The given equation in this case is f(d) = 325d +8,795, it should be noted that 8795 is the fixed cost. On the other hand, the expression 325d represents the variable cost.

325d means that the cost will increase each day by that amount. Therefore, the value that 8,795 represents in this situation is the initial cost.

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The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Step-by-step explanation:

speed = distance/time

= 12/3 m/s

= 4 m/s

4

V = s/t

= 12/3

=4

S = move

T = time

V = speed

Answer:

x^2

Step-by-step explanation:

\(x^4\cdot x^{-2}= \\\\x^{4-2}= \\\\x^2\)

Hope this helps!

Answer:

\(x^{2}\)

Step-by-step explanation:

\(x^4 \times x^{-2}\)

\(x^{4+-2}\)

\(x^{4-2}\)

\(x^{2}\)

The probability that the child will choose a number that is not a multiple of 9 is 90%.

Probability refers to the chance or likelihood that an expected outcome occurs when multiple developments or events could have happened.

Probability describes the ratio between expected favorable outcomes and possible outcomes.

Probability as a ratio is described as a fractional value when it is not 100% certain or uncertain.

In such cases, probability hovers between zero and 1.

The multiples of 9 from 1 through 50 are five (9, 18, 27, 36, and 45).

The other numbers from 1 to 50 are 45 (50 - 5).

The probability of choosing a multiple of 9 is 10% (5/50 x 100).

The probability of choosing a number that is not a multiple of 9 is 90% (45/50 x 100) or (1 - 0.05).

Thus, the probability that the child chooses a non-multiple of 9 between 1 and 50 is 90%.

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Answer:

Yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

At 8:28 exactly one hour had gone by.

To get to 8:46 you need to add on almost 20 minutes. which would bring it up to 8:48. Since you are 2 minutes short from :46 to :48, the correct number of minutes is 18  (48 - 2)

Answer: 1 hour and 18 minutes.

The simplified value of the expression ((2⁵ x 5²² - 2 x 5²¹) / 25¹⁰ is 790.

To simplify the expression (2⁵ x 5²² - 2 x 5²¹) / 25¹⁰.

we can use the properties of exponents and the fact that 25 = 5².

First, let's simplify the numerator:

(2⁵ x 5²² - 2 x 5²¹)

Using the distributive property, we can factor out 5²¹ from both terms:

= 5²¹ x (2⁵ x 5 -2)

= 5²¹ (32 x 5- 2)

= 5²¹ (160-2)

= 5²¹ x 158

Now, let's simplify the denominator: 25¹⁰

Since 25 = 5², we can rewrite it as (5²)¹⁰, which gives us:

=  (5²)¹⁰

= 5²⁰

Using the quotient rule of exponents \((a^m / a^n = a^{(m-n)})\), we can simplify further:

=  5²¹ x 158 / 5²⁰

= 5²¹⁻²⁰ x 158

= 5 x 158

= 790

Therefore, the simplified value of the expression ((2⁵ x 5²² - 2 x 5²¹) / 25¹⁰ is 790.

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Given

To find

we know that

Inserting the value of radius

Answer:

y = 36

Step-by-step explanation:

given y varies directly  with x then the equation relating them is

y = kx ← k is the constant of variation

to find k use the condition when x = 5 , y = 15

15 = 5k ( divide both sides by 5 )

3 = k

y = 3x ← equation of variation

when x = 12 , then

y = 3 × 12 = 36

We read this out as "negative 15" or you could write "negative fifteen".

The negative indicates the temperature went down. It doesn't necessarily mean that the final temperature is -15 degrees.

For example, if it starts being 50 degrees F, and drops by 15 degrees, then 50+(-15) = 50-15 = 35 degrees is the temperature after that drop. It might help to use a vertical number line.

The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.

However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.

This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.

As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.

It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.

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Answer:

Step-by-step explanation:

f(x) = x^2

reflect along the x-axis

g(x) = -x^2

expand vertilcally by a factor of 1/3

g(x) = (-1/3) x^2

move horizontally 4 units to the left

g(x) = (-1/3) (x+4)^2

hope this helps

Answer:

B. The graph of G(x) is the graph of F(x) stretched vertically, flipped over the x-axis, and shifted 4 units to the left.

Step-by-step explanation:

The \(\frac{-1}{3}\) is less than one, making it stretch wider, and the (-) made it flip over the x-axis. The +4 in \((x+4)^2\) made the function on the graph shift 4 units to the left.

This makes the correct answer be "B."

Answer:

The COP is between 45.57 and 3 is 15.19 (I think)

Step-by-step explanation:

It is pretty simple, you just divide 45.57 and 3 to get an answer for just a single digit, in this case, it would be 1-15.19 just like 3-45.57.

the assumption is that "3" is the value of the independent variable whilst 45.57 is the result, thus if that's the case, then we can say that

\(\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of proportionality}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that} \begin{cases} x=3\\ y=45.57 \end{cases}\implies 45.57=k(3)\implies \cfrac{45.57}{3}=k\implies 15.19=k\)

A. The data modeling the relation is an exponential function.

B. The function is: y = 2^x.

C. The rate of change from x = 2 to x = 4 is of 4.

The definition of an exponential function is presented as follows:

\(y = ab^x\)

In which the variables of the function are listed as follows:

From this data-set, when x increases by one, y is multiplied by 2, hence the rate of change is:

b = 2.

When x is increased by n, the rate of change is:

b^n = 2^n.

Hence, when x is increased by 2, from 2 to 4, in item c, the rate of change is:

2² = 4.

When x = 1, the output is the output at x = 0 multiplied by 2, hence the coefficient a of the function is given as follows:

a = 2/2 = 1.

Then the exponential function is:

\(y = 2^x\).

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Answer: The sum of the digits of 99 × n is 27 - 10 = 17.

Step-by-step explanation:

To find the sum of the digits of 99 × n, we can use the fact that 99 × n = 100 × n - n. The sum of the digits of 100 × n is simply n, since the hundreds digit is zero. Therefore, the sum of the digits of 99 × n is equal to the sum of the digits of n - n, which is simply zero.

For example, if n = 37, then 99 × n = 99 × 37 = 3,699. The sum of the digits of 3,699 is 3 + 6 + 9 + 9 = 27. The sum of the digits of 37 is 3 + 7 = 10. Therefore, the sum of the digits of 99 × n is 27 - 10 = 17.

The expression after factorisation is 4w⁴x² (7y⁷ + 3w⁵x⁶)

An expression is defined as a mathematical statement consisting of variables , constants and mathematical operators.

The expression given is

28w⁴x²y⁷+12w⁹x⁸

Factors of the given expression will be the common terms in both the terms

w⁴x² is common in the variable term

The HCF of 28 and 12 is 4

4w⁴x² (7y⁷ + 3w⁵x⁶)

The expression after factorisation is 4w⁴x² (7y⁷ + 3w⁵x⁶)

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