Use mental math to calculate the following.

In the photo, the beetle is increased to 655% as large as the actual size.

This means that is 655/100=6.55 times the actual size.

If the actual size is 14 mm, then the beetle in the photo will have a size of:

Answer: the beetle in the photo will have a size of 91.7 mm.

Answer:

It already is in standard form

Step-by-step explanation:

the answer to that equation is 2 which means it's between 1 and 10. therefore it's already in standard form or "scientific notation"

There is a 1/2 probability that both spinners will produce an odd number.

The probability is equal to the variety of possible outcomes.

The total number of outcomes that could occur.

For instance, there is only one way to receive a head and there are a total of two possible outcomes, hence the probability of flipping a coin and getting heads is 1 in 2. (a head or tail). P(heads) = 12 is what we write.

So, assume that:

Both the spinners have 1 positive number and 1 odd number.

Probability formula:

P(E) = Favourable events/Total events

Now, calculate as follows:

P(E) = Favourable events/Total events

P(E) = 2/4

P(E) = 1/2

Therefore, there is a 1/2 probability that both spinners will produce an odd number.

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Answer:

The average rate of change of a function over an interval is found by taking the difference between the function's values at the endpoints of the interval and dividing by the length of the interval. In this case, we have:

f(1) = -3(1)^3 + 7(1) = -3 + 7 = 4

f(3) = -3(3)^3 + 7(3) = -27 + 21 = -6

The average rate of change over the interval from x=1 to x=3 is therefore (-6 - 4) / (3 - 1) = -10 / 2 = -5.

To label your answer, you could write something like: "The average rate of change of the whale's movement over the interval from x=1 to x=3 seconds is -5 meters/second."

Answer:

Step-by-step explanation:

Height of model = 20 ft ⋅ (2 in)/(5 ft) = 8 in

Answer:

Hi

Step-by-step explanation:

Answer:

that's hard

Step-by-step explanation:

Answer:

The probability of turning over E would be 1/5

Step-by-step explanation:

since there are 5 cards and there is an equal chance you could get any one of them, the probability is one (the amount of cards drawn) over five (the amount of cards total.)

Hope this helps :)

Answer:

Step-by-step explanation:

4) 395

= 49

Because 4 x 4 = 36 remaining 4 = 45

Then 4 x 9 = 45

After answering the provided question, we can conclude that Therefore, trigonometry the helicopter's horizontal distance to the hiker is approximately 388 feet.

The study of the relationship between triangle wall lengths and angles is known as trigonometry. The topic first emerged in the Hellenistic era, around the third century BC, because of the utilization of geometry in astronomical studies. The branch of mathematics known as precise methods deals with certain quaternion functions and about there potential applications in computations. There are six commonly used trigonometric functions in trigonometry. Sine, cosine, tangent, buying new furniture, secant, and cosecant are their person names and acronyms (csc). The study of triangle properties, specially those of right triangles, is known as trigonometry. As a result, geometry is really the study of the properties of all geometric shapes.

We can use trigonometry to solve this problem. Let's start by drawing a diagram:

             Hiker

               /|

              / |

             /  | 1500 ft

            /   |

           /θ   |

          /     |

         /14°   |

        /_______|

     Helicopter

We are looking for the horizontal distance between the helicopter and the hiker, which we can call x. We know the altitude of the helicopter (1500 ft), and we know the angle of depression (14°).

From the diagram, we can see that:

tan(14°) = x / 1500

We can solve for x:

x = 1500 * tan(14°)

x ≈ 387.7 ft

Therefore, the helicopter's horizontal distance to the hiker is approximately 388 feet.

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Answer:

12 is the slope.

Step-by-step explanation:

This is because in the equation y = mx + b, m is the slope.

Hope this helps!

Answer:

Your answer is <ABC = 156°

Step-by-step explanation:

I am not sure how to explain this, but you look at the values between 0°-180°. Starting from A right counterclockwise from 0 to C. You can see the degree.

The slope is 2/3 and the y-intercept is 4, then the equation of the line in slope-intercept form would be y=2/3x+4. This means that the line has a slope of 2/3 and crosses the y-axis at 4.

The slope-intercept form of a linear equation is written as y=mx+b, where m is the slope of the line and b is the y-intercept. The slope of the line represents the rate at which the line is rising or falling, while the y-intercept represents the point where the line crosses the y-axis.

To find the equation of a line in slope-intercept form, you need to know its slope and y-intercept. The slope is usually given as a fraction or a decimal, while the y-intercept is a single number.

To write the equation of a line in slope-intercept form, you start by substituting the slope and y-intercept values into the formula. Then, simplify the equation by multiplying the slope by the x-value and adding the y-intercept to get the value of y.
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The tables that reprsesent a linear function is (d)

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

The table of values

A table of value that is a linear function is a table that has a constant rate

i.e. as x changes, y changes constantly

Using the above as a guide, we have the following:

In table (d) x changes constantly by 1 and y constantly changes by 5

Hence, the table is table (d)

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Answer:C. Miles

Step-by-step explanation:

Using the logarithm quotient rule, it can be simplified to log1 - logA. Since log1 = 0 for any base, this simplifies further to -logA.

We simplify and solve the given expressions using the mentioned terms. Here are the step-by-step explanations for each expression:

1. logA: This expression represents the logarithm of a number A to a specified base. Without any base provided, it cannot be simplified further.

2. 1logAA: Since the coefficient of the logarithm is 1, this simplifies to logAA, which represents the logarithm of A to the base A. By definition, logAA = 1.

3. logA x Blog (a/b): This expression seems to have formatting issues, so I'll break it down into two separate expressions: - logA x B: This represents the logarithm of the product AB to a specified base. Using the logarithm product rule, it can be simplified to logA + logB. - log (a/b): This represents the logarithm of the quotient a/b to a specified base. Using the logarithm quotient rule, it can be simplified to loga - logb.

4. log A ^ B: This expression represents the logarithm of A raised to the power of B to a specified base. Using the logarithm power rule, it can be simplified to B * logA. 5. log 1/A: This expression represents the logarithm of the reciprocal of A (1/A) to a specified base.

Using the logarithm quotient rule, it can be simplified to log1 - logA. Since log1 = 0 for any base, this simplifies further to -logA.

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Answer:

\((f+g)(x)=f(x)+g(x)=4^{x} +12x+5x-1=4^{x}+17x-1\)

Answer:

4^x +17x -1

Step-by-step explanation:

F(x)=4^x+12x

g(x) = 5x-1

(f+g)(x)= 4^x +12x + 5x-1

Combine like terms

     = 4^x +17x -1

Answer:

Yeah i have no idea

Step-by-step explanation:

Can i have brainliest???

In the question, the independence assumption may have been violated, while the Nearly Normal Condition is likely justified. Therefore, the use of the Student-t model for inference may be unreliable.

a) In order to perform a hypothesis test on the claim made by the diet guide, we need to assess the assumptions and conditions required for reliable inference. The independence assumption states that the observations are independent of each other. In this case, it is not explicitly mentioned whether the yogurt samples were independent or not. If the samples were obtained from the same batch or were not randomly selected, the independence assumption could be violated.

Regarding the Nearly Normal Condition, which assumes that the population of interest follows a nearly normal distribution, it is reasonable to assume that the distribution of calorie counts in vanilla yogurt is approximately normal. However, since we do not have information about the population distribution, we cannot definitively justify this condition.

b) The appropriate hypotheses for testing the claim made by the diet guide would be:

H0: The average calories per serving of vanilla yogurt is 120.

HA: The average calories per serving of vanilla yogurt is not equal to 120.

To test these hypotheses, we can use a t-test for a single sample. The test statistic (t) can be calculated by taking the mean of the sample calorie counts and subtracting the claimed average (120), divided by the standard deviation of the sample mean. The p-value can then be determined using the t-distribution and the degrees of freedom associated with the sample.

Without the actual sample mean and standard deviation, it is not possible to provide the specific test statistic and p-value for this scenario. These values need to be calculated using the given data (calorie counts) in order to draw a conclusion about the claim made by the diet guide.

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Answer: 6.25

Step-by-step explanation: 11.5 minus the amount you're left with.

11.5 - 5.25 = 6.25

To fact check.

6.25 - 11.5 = 5.25

Using a linear function, it is found that the costs are given as follows:

A linear function is modeled by:

y = mx + b

In which:

Considering the price of admission and the price per ride, the y-intercept is of 20 and the slope is of 4, the cost for r rides is given by:

C(r) = 20 + 4r.

Hence, for 6 rides, the cost is given by:

C(6) = 20 + 4 x 6 = $44.

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The nullity of the matrix A, where each element aᵢⱼ is equal to 3 times i minus j, can be determined as follows: (a) If n > 3, the nullity of A is 0. (b) If n = 3, the nullity of A is 1. (c) If n < 3, the nullity of A is n - 3.

To find the nullity of matrix A, we need to determine the dimension of its null space, which is the set of all vectors x such that Ax = 0. The matrix A has n rows and n columns, and each element aᵢⱼ is given by 3i - j. This implies that the row vectors of A are linearly independent, as each row has a distinct combination of 3i - j values. Therefore, the system of equations Ax = 0 will have only the trivial solution when the number of unknowns (n) is greater than the number of equations (n), i.e., n > 3. In this case, the nullity of A is 0, as there are no non-trivial solutions.

If n = 3, the system of equations Ax = 0 will have a non-trivial solution, indicating the presence of a free variable. Thus, the nullity of A is 1. If n < 3, the number of unknowns is less than the number of equations. In this case, the system of equations Ax = 0 will have n - 3 free variables, leading to non-trivial solutions. Hence, the nullity of A is n - 3. In summary, the nullity of matrix A depends on the value of n:

(a) If n > 3, the nullity of A is 0.

(b) If n = 3, the nullity of A is 1.

(c) If n < 3, the nullity of A is n - 3.

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Answer:

If half the students scored 42 and some scored 53, the median must be (53 + 42)/2 = 47.5.

If the other half all scored 53, the mean would be the same, but the few 78s is going to raise the mean.

The mode is 42.

i hope it helps you

The mean is greater than the median. Then the correct option is B.

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

In a mathematics class, half of the students scored 42 on an achievement test.

With the exception of a few students who scored 78, the remaining students scored 53.

We know that if the half of data is the same and the remaining data is greater than that data.

Then the mean is greater than the median.

Then the correct option is B.

The complete options of the question is attached below.

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Answer:

b 4 red ribbons/7 blue ribbons

The required ratio of red ribbons to blue ribbons is 4/7 which is the correct answer would be an option (A).

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

We have been given that Morgan won 7 blue ribbons and 4 red ribbons at her horse shows.

We have to determine the ratio of red ribbons to blue ribbons she won

The ratio of red ribbons to blue ribbons is equal to the number of blue ribbons divided by the number of red ribbons.

The ratio of red ribbons to blue ribbons = the number of red ribbons /the number of blue ribbons.

The ratio of red ribbons to blue ribbons = 4 / 7

Thus, the required ratio of red ribbons to blue ribbons is 4/7.

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The value of x in the expression  3x – 11 =0 is: x = 11/3.

Here, we have,

given that,

the expression is : 3x – 11 =0

now, we have to solve it for x.

so, we have,

3x – 11 =0

simplifying we get,

=> 3x=11

now, dividing both side by 3, we get,

=> 3x/3=11 /3

=>x=11/3

this is the answer in a fraction.

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complete question is:

what is the answer to 3x – 11 = 0, find the value of x.

Assuming the population is in Hardy-Weinberg equilibrium, the individuals have green hair are equal to 91% .

From the data present in problem,

Hardy and Weinberg proved mathematically that in a population all dominant and recessive alleles include all alleles for a given gene. Mathematically, denoted as p + q = 1.0

Where, p = frequency of dominant alleles (C)

q = frequency of recessive alleles (c) = 0.3

Number of population individua's = 100

Hardy and Weinberg described all the possible genotypes for a gene with two alleles. The binomial expansion representing this is,

p² + 2pq + q² = 1.0

Where, p² = proportion of homozygous dominant individuals (Green)

• q² = proportion of homozygous recessive individuals (White)

2pq = proportion of heterozygotes (Green)

Since, p+ q = 1.0

=>p = 1 - q = 1 - 0.3 = 0.7

=>p = 0.7

The genotypic frequencies are as follows:

CC (p²) = (0.7) = 0.49

Cc (2pq) = 2x(0.3)(0.7) = 0.42

cc (9²) = (0.3)² = 0.09

p² + 2pq + q² = (0.49) + (0.42)+(0.09)= 1.0

The expected number for each genotype are as follows: CC (p²) = (0.49×100) = 49

Cc (2pq) = (0.42×100)= 42

cc(q²) = (0.09×100) = 9

The number of individuals have green hair is as follows: (p²)+(2pq) = 49+42= 91

Thus, required individuals percentage is 91%.

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Answer:

Well, the circles are split in half so I believe the correct way of doing this will be to shade 5 of the halfs

Step-by-step explanation:

Answer:

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

Shade 1 circle - this is clear.

Shade 5/2 more - how?

It makes two full circles and the half of the third one.

In total we need to shade: