The sum of 5 times a number and 3 is the same as the difference of the number and 9. Find the number

For a circle with a diameter of 10 cm, the circumference would be C = π(10) = 31.4 cm. The correct option is (D) 31.4 cm.

The circumference of a circle can be calculated using the formula           C = πd, where C represents the circumference and d represents the diameter of the circle.

We have the diameter of the circle is 10 cm, we can substitute this value into the formula:

C = π * 10 cm

Calculating the circumference using an approximate value of π as 3.14:

C ≈ 3.14 * 10 cm

C ≈ 31.4 cm

Therefore, the circumference of a circle with a diameter of 10 cm is approximately 31.4 cm.

The correct answer is D) 31.4 cm.

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Answer:

x=1. (1, 2)

x=2. (2, 5)

Step-by-step explanation:

i hope this helps :)

A direct relationship between two variables is reflected in a "POSITIVE" correlation coefficient.

Correlation is a statistical technique for measuring and describing the relationship between two variables.

The variables move in the same direction when they have a positive correlation. In other words, as one variable increases, so does the other, and conversely, as one variable decreases, so does the other.

Typically, the two variables are simply observed rather than manipulated. Two scores from the same individuals are required for the correlation.

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Answer:

False, 82 inches is not greater than 5 feet and 10 inches

Step-by-step explanation:

1 feet = 12 inches

5x12=60+10=70

82 is greater than 70.

After considering the given data we can come to the conclusion that the particular equation that will be perfect for this logistic function is \(P(t) = 124/1 + 122e^-{0.1t}\), under the condition a certain area can support 124 deer. And, there were 2 deer in the area, and growing at an average rate of 10% per month.

The logistic function that describes this situation is given by the formula:

\(P(t) = 124/1 + 122e^{-0.1t}\)
Here,
P(t) = population of deer at time t in months.

This is an instance of a logistic function. The logistic function is applied to project situations in which there is a limit to population growth. For the given case, the carrying capacity of the area is 124 deer.
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Answer:

Step-by-step explanation:

The 2 angles shown are corresponding angles and congruent, hence

23x - 5 = 21x + 5 ( subtract 21x from both sides )

2x - 5 = 5 ( add 5 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

(a) The probability that a randomly selected policyholder lives more than 80 years is approximately 0.3106.  (b) Given that a male policyholder just turned 80, the probability that he will live for at least three more years is approximately 0.6166.

(a) To find the probability that a randomly selected policyholder lives more than 80 years, we need to calculate the cumulative probability of survival beyond 80 for both males and females separately, and then weigh them based on the gender distribution.

For males: Using the normal distribution with mean 75 and standard deviation 8, we find the probability of survival beyond 80 is approximately 0.3446.

For females: Using the normal distribution with mean 78 and standard deviation 6, we find the probability of survival beyond 80 is approximately 0.2847.

The weighted probability for a randomly selected policyholder is (0.60 * 0.3446) + (0.40 * 0.2847) = 0.3106.

(b) Given that a male policyholder just turned 80 years old today, we can use conditional probability to calculate the likelihood of him living for at least three more years.

Using the normal distribution with mean 75 and standard deviation 8, the probability of survival beyond 83 (80 + 3) is approximately 0.8621.

Therefore, the probability that a male policyholder, who just turned 80, will live for at least three more years is 0.8621.

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In order to find the values of x and y, consider that the triangles are similar. Then, the proportion between similar sides of the triangles are equal.

In triangles ABC and DEF you have:

EF/BC = ED/BA

by replacing the values of such sides you obtain:

x/28 = 7/14 multiply by 28 both sides

x = (7/14)(28)

x = 14

Hence, the value of x is x = 14

Next, for the same triangles use the following proportion:

AC/DF = BC/EF

by replacing the values of such sides you obtain:

y/10 = 28/14 multiply by 10 both sides

y = (28/14)(10)

y = 20

Hence, the value of y is y = 20

The smaller x value is 0, sο the first x-intercept is (0, 0) and the larger x value is 4, sο the secοnd x-intercept is (4, 0).

A parabοla is a symmetrical plane curve that is shaped like an arch. It is a quadratic functiοn and is defined by the equatiοn \(y = ax^2 + bx + c\), where a, b, and c are cοnstants.

Tο find the x-intercepts οf the parabοla, we need tο set y=0 and sοlve fοr x in the equatiοn:

\(0 = 5x^2 - 20x\)

We can factοr οut 5x frοm the equatiοn tο get:

0 = 5x(x - 4)

Sο the sοlutiοns are:

x = 0, and x = 4

Therefοre, the x-intercepts are (0, 0) and (4, 0).

Tο determine which οne is the smaller and which οne is the larger, we can simply cοmpare the x values:

The smaller x value is 0, sο the first x-intercept is (0, 0).

The larger x value is 4, sο the secοnd x-intercept is (4, 0).

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Answer:

Hi there!

Your answer is:

A. 6x+8 = 32

Step-by-step explanation:

6 times a certain number is describing "6x"!

Adding 8, not apart of any parentheses, the addition of 8 is separate than 6x

The result is 32 means "=32"!

Answer:

A. 6x+8 = 32

Step-by-step explanation:

Answer:

y = -2.5

Step-by-step explanation:

_________________

Answer:

d. All of the above are true

Step-by-step explanation:

All of the following statements,

a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.

b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.

C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.

are true

The number of months that the tree has been growing is; 8.375 months

The general form for the equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, we are told that the tree grows 8 centimeters each month. This means the slope is 8 cm.

Now, since she trimmed 6 cm in the first month, it means that the y-intercept will be -6. Thus;

Equation is;

y = 8x - 6

Since the current height is 61 centimeters, then;

61 = 8x - 6

8x = 61 + 6

8x = 67

x = 67/8

x = 8.375 months

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The product of rational number 24.8 x 3.5 is (d) 86.8

A rational number can be written as a fraction with integer values in the numerator and denominator, according to the mathematical principle "The product of two rational numbers is rational" (denominator not zero). Since integers are closed when multiplied, multiplying two rationals is equivalent to multiplying two of these fractions, which will produce a new fraction with the same form. Multiplying two rational numbers results in the creation of a third rational number.

Given that, the two rational numbers are 24.8 and 3.5.

then, the product of these two rational numbers are

24.8 * 3.5

= 86.80 or 86.8

So the correct option is (d) 86.8.

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Approximately, there are total 50 national parks is the United states.

The United States has approximately 50 national parks, which are congressionally designated procted areas operated by the National Park Service, an agency of the Department of the Interior.

National Parks are designated for their natural beauty, unique geological features, diverse ecosystems, and recreational opportitinies.

Some of the major national parks are Yesomite National Park, Bryce Canyon National Park, Acadia national park, National park of America Samona, Arches National park etc.

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Answer:

The answer is 50

Step-by-step explanation:

yes

Answer:

Option 2

Step-by-step explanation:

\(2 \frac{2}{13} + \frac{15}{13} =\) \(2 \frac{2}{13} + 1 \frac{2}{13} = 3 \frac{4}{13}\)

Answer: The answer is option 2. 3 4/13

Step-by-step explanation:

2 2/13 + 15/13 =  2 17/13

17 fits into 13 one time and you're left with 4/13 as a remainder.

Since 17 was able to fit into 13 at least once, you get another whole number making your already existing whole number of 2 into 3.

Thus your answer is 3 4/13. I hope this was a helpful explanation! :)

To convert kilometers per hour (kph) to miles per hour (mph), we use the following formula: mph = kph x 0.621371. This is because there are 0.621371 miles in a kilometer.

To calculate the value of 130 kph in mph, we can simply plug the value into the formula: mph = 130 x 0.621371 = 80.78 mph. Therefore, the value of 130 kph in mph is 80.78 mph. To further understand how this conversion works, we can break down the calculation into its basic components. First, we divide 130 by 1. That gives us 130. Then, we multiply 130 by 0.621371, which gives us the result of 80.78. Therefore, the value of 130 kph in mph is 80.78 mph. The above formula and calculation can be used to convert any value from kph to mph. All we need to do is plug the kph value into the formula and we will get the equivalent mph value. It is important to note that the conversion from kph to mph is not exact, as there are slight variations in the exact value of a kilometer. However, this formula provides a good approximation and is accurate enough for most purposes.

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Answer

4 and 8

Explanation

List all factors of 32 and then find which number equals 24 when added

Or

You could waste time and use alegbra lol

Answer:

it's 81 degrees

Step-by-step explanation:

it is equal to other corner

Answer:

The answer is -285

Step-by-step explanation:

i think it would be -8x - 10.

The series converges for x in the interval (-10, -6) in interval notation. And the sum of the series for the values of x in the interval (-10, -6) is 2/(10-x).

To determine the values of x for which the series converges, we need to find the range of x that satisfies the convergence condition. The series \(\sum_{0}^{\infty}{(x+8)^n}/{2^n}\)converges if the ratio of consecutive terms approaches zero as n approaches infinity.

The ratio of consecutive terms can be calculated as follows:

R =\(|(x + 8)^{n+1} / 2^{n+1}| / |(x + 8)^n / 2^n|\)

=\(|(x + 8)^{n+1}| / |(x + 8)^n| * (1/2)\)

Simplifying:

R = |x + 8| / 2

For the series to converge, we require the ratio R to be less than 1:

|x + 8| / 2 < 1

Solving this inequality, we find:

-2 < x + 8 < 2

Subtracting 8 from each part:

-10 < x < -6

Therefore, the series converges for x in the interval (-10, -6) in interval notation.

To find the sum of the series for those values of x, we can use the formula for the sum of an infinite geometric series:

Sum = a / (1 - r),

where a is the first term and r is the common ratio.

In this series, the first term (a) is (x + 8)^0 = 1, and the common ratio (r) is (x + 8) / 2.

Sum = 1 / (1 - (x + 8) / 2)

= 2 / (2 - (x + 8))

= 2 / (10 - x)

Therefore, the sum of the series for the values of x in the interval (-10, -6) is 2 / (10 - x).

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The Area of Trapezium is 50, 267 mm².

We have,

base 1 = 224 mm

base 2 = 77 mm

Height = 334 mm

Now, Area of Trapezium

= 1/2 (Sum of parallel side) x height

= 1/2 (224 + 77) x 334

= 1/2 x 301 x 334

= 50, 267 mm²

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Answer:

3.46 but if you simplify it is 3.5

Step-by-step explanation:

Answer:

3.46410161514

Step-by-step explanation:

The number of weeks it will take Emma to afford the £4,104 cruise holiday, found using the ratio of the amount she earns is 12 weeks

A ratio is a relationship between two quantities indicating the number of times one item is contained in the other item, or contains the other item.

The amount of money Emma earns per hour = £9.50

The number of days Emma works per week = 6 days

Number of hours worked per day = 8 hours

The ratio in which Emma shares her wages with Joy = 3 : 1

The cost of the cruise holiday = £4,104

The number of weeks it will take Emma to afford the cruise holiday therefore can be found as follows;

The amount Emma saves per week = (3/4) × 8 × 6 × 9.50 = 342

The number of weeks needed to save = 4,104/342 = 12

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Answer:

its A

Step-by-step explanation:

memorized factory plans to avoid entanglements with British officials.

Answer:

a

Step-by-step explanation:

Answer:

-340

Step-by-step explanation:

Hey there!

1 + 2 - 5 * 67 - 8

= 3 - 5 * 67 - 8

= 3 - 335 - 8

= -332 - 8

= -340

Therefore, your answer is: -340

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Using the surface area of a rectangular prism, we can conclude that the maximum width Jaxon can build the table is (D) w = 3.5 ft.

So, the maximum width can be:

Where, h = 2 feet and l = 4 feet.

(A) When, width = 8.3 feet

Hence, this option is not correct.

(B) When, width = 1.1 feet

Hence, we need to check more options as it is within the budget of $29.

(C) When, width = 7.2 feet

Hence, this option is not correct.

(D) When, width = 3.5 feet

Hence, this is the perfect option.

Therefore, using the surface area of a rectangular prism, we can conclude that the maximum width Jaxon can build the table is (D) w = 3.5 ft.

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Answer:

no

Step-by-step explanation:

it is not strait

Hope this works!