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The value of the equivalent equation will be 32=3x+8

It is given in the question that

\(\rm Log_2(3x+8)=5\)

Now from the antilog property property

\(\rm x=Log_by\)  can be written as below

\(b^x=y\)

So the value of  \(\rm Log_2(3x+8)=5\)  will be

\(2^5=3x+8\)

\(3x+8=32\)

Thus the value of the equivalent equation will be 32=3x+8

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Answer:

I did it on edgeinuity

Step-by-step explanation:

Answer:

common denominator is 15

10/15-3/15

7/15

In order to make the denominators of both 15 multiply 3 by 5 and 5 by three. Whats done to the bottom has to be done to the top as well.

Step-by-step explanation:

The cloud can ascend 9,616 metres in 17.5 minutes, based on the statement made.

Utilizing the measurement of air pressure, altitude may be calculated. The pressure decreases with increasing altitude. An instrument is referred to as a pressure analyzer or pneumatic altimeter when a barometer is given a nonlinear calibration to display altitude.

This may be calculated by dividing the cloud's speed (552 metres per minutes) by the distance it must travel (17.5 minutes). We now know the distance to be 9,616 meters.

The speed of said cloud and the length of time it is going are four pieces of information that must be known in order to determine the minimum distance the cloud might cover in 17.5 minutes. We must increase the cloud's stated speed of 552 meters a minute by the distance it is going across, which in itself is 17.5 minutes. As a result, we now have 9,616 meters overall.

Another way to see this is to picture the cloud beginning at place A (9,200 meters) or terminating at point B. (9,616 meters). The distance between points A and B will be covered in 17.5 minutes if the cloud is moving at a pace of 552 meters per minute.

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Each representation is matched with its respective average rate of change as follows:

A rate of change is also referred to as slope and it can be defined as a type of function that describes the average rate at which a quantity decreases or increases with respect to another quantity.

Mathematically, the rate of change for a function can be calculated by using this expression;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Thus, the average rate of change over the given interval [a, b] is given by:

r = [f(b) - f(a)]/(b - a)

Where:

The interval is [0, 2], so a = 0 and b = 2

Substituting the given parameters into the formula, we have;

r = [f(2) - f(0)]/(2 - 0)

r = [f(2) - f(0)]/2

For the first function h(x), we have:

r = [h(2) - h(0)]/2

When x = 2

h(2) = 2² + 2(2) - 6

h(2) = 4 + 4 - 6

h(2) = 2.

When x = 0

h(0) = 0² + 2(0) - 6

h(0) = 0 + 0 - 6

h(0) = -6.

Evaluating the function, we have:

r = [h(2) - h(0)]/2

r = [2 - (-6)]/2

r = (2 + 6)/2

r = 8/2

r = 4.

For the second function f(x), we have:

Note: The x-intercept is at (2, 0), so x = 2 and f(2) = 0 while its y-intercept at (0, -10), so x = 0, f(0) = -10

r = [f(2) - f(0)]/2

r = [0 - (-10)]/2

r = (0 + 10)/2

r = (10)/2

r = 5.

For the third function g(x), we have:

Note: g(2) = 6 and g(0) = 2 on the graph.

r = [g(2) - g(0)]/2

r = (6 - 2)/2

r = 4/2

r = 2.

For the fourth function j(x), we have:

Note: From the table, x = 2 outputs j(2) = -8 while x = 0 outputs j(0) = 4.

r=[j(2) - j(0)]/2

r = (-8 - 4)/2

r = -12/2

r = -6.

In conclusion, we can infer and logically deduce that each representation is matched with its respective average rate of change as follows:

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Answer:

Step-by-step explanation:

Convert both mixed numbers to improper fractions

5 1/4 = (20 + 1)/4 = 21/4

5 2/5 = (25 + 2)/5 = 27/5

Write   21/4 * 27/5 as the new number sentence

Multiply 21 * 27 and 4*5

Divide 567 by 20  I don't see the answer clearly stated. but the answer is

28 7/20

This is a very good question to have at your finger tips. No doubt it will show up on a test at some point. Make sure you understand the steps.

If ū and ū have the same length, then the projection of u onto ū and the projection of ū onto ū will always have the same length. This is because the projection of a vector onto another vector is simply the vector that is parallel to the first vector and has the same length as the first vector.

If the two vectors have the same length, then the projection of one vector onto the other will also have the same length. If ū and ū do not have the same length, then it is possible for the projection of u onto ū and the projection of ū onto ū to have the same length.

This is because the projection of a vector onto another vector is not necessarily the same length as the first vector. If the two vectors are not parallel, then the projection of one vector onto the other will be shorter than the first vector. However, if the two vectors are perpendicular, then the projection of one vector onto the other will be the same length as the first vector.

The projection of a vector onto another vector is a vector that is parallel to the first vector and has the same length as the first vector. The projection of u onto ū can be calculated using the following formula:

proj_ū(u) = (u ⋅ ū) / ||ū||^2 * ū

where u ⋅ ū is the dot product of u and ū, and ||ū|| is the magnitude of ū. The projection of ū onto u can be calculated using the following formula:

proj_u(ū) = (ū ⋅ u) / ||u||^2 * u

where ū ⋅ u is the dot product of ū and u, and ||u|| is the magnitude of u. If ū and ū have the same length, then ||ū|| = ||u||. This means that the two formulas for the projection are the same, and the projection of u onto ū will have the same length as the projection of ū onto u.

If ū and ū do not have the same length, then ||ū|| ≠ ||u||. This means that the two formulas for the projection are not the same, and the projection of u onto ū may or may not have the same length as the projection of ū onto u. If the two vectors are not parallel, then the projection of one vector onto the other will be shorter than the first vector. However, if the two vectors are perpendicular, then the projection of one vector onto the other will be the same length as the first vector.

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The Original price of the item  was $400.

Percentage can be defined as a number that denotes hundredth part of any quantity.

For Example , 50%of 30 =\(\frac{50}{100} *30=\frac{1500}{100} =15\).

In the given question

Amount paid by Joyce = $120

Let the original price =x

Percent of original price = 30%

According to the given Question

30% of x =120

\(\frac{30}{100} *x=120\\ \\ x=\frac{120*100}{30}\\ \\ \\ x=400\)

Therefore , the Original price of the item  was $400.

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The number of black and white socks Tim has is :

Let the Number of white and black socks be x and y respectively.

Hence, Total number of socks can be expressed Mathematically as :

x + y = 74 - - - (1)

Since, he has 1 pair (2) more white Than black socks ;then

Number of white socks = 1 + number of black socks

x = 2 + y - - - (2)

Therefore ;

2 + y + y = 74

2 + 2y = 74

2y = 74 - 2

2y = 72

y = 72 / 2

y = 36

x = 2 + y

x = 2 + 36

x = 38

Black socks = 36

Black socks = 36White socks = 38

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Answer:

Given GP:

We see that:

Sum of  n terms:

Answer:

v = -7.5

Step-by-step explanation:

Step 1: Subtract 3v from both sides.

v-17 − 3v = 3v−2 −3v

−2v−17=−2

Step 2: Add 17 to both sides.

−2v−17+17=−2+17

−2v=15

Step 3: Divide both sides by -2.

-2v/2 = 15/2

v = -15/2

v = -7.5

Hope this helps!

Plz name brainliest if possible!

Answer:

Step-by-step explanation:

1 liter = 1.52 euro

price in dollars per gallon = ?

$1 = 0.91 euro

so, $1.67 = 1.52 euro

thus, 1 liter = $1.67

now let's convert liter to gallons

1 gallon = 3.79 liter

so, 1 liter = .26 gallons

thus,

.26 gallons will cost $1.67

The buses will pass each other at 12:37:30 PM

To find the time when the two buses will meet, you need to find the time that Bus 2 will take to travel to the point where the buses will meet, and the time that Bus 1 will take to travel the same distance.

You can find the time that Bus 2 will take to travel to the point where the buses will meet by dividing the distance (550 miles) by the speed of Bus 2 (50 mph), which is 11 hours.

Then you can find the time that Bus 1 will take to travel the same distance by dividing the distance (550 miles) by the speed of Bus 1 (80 mph), which is 6.875 hours (or 6 hours and 52.5 minutes).

Now, you can subtract the time that Bus 2 takes to reach the point of intersection from the time that Bus 1 takes to reach the same point.

6.875 hours (or 6 hours and 52.5 minutes) - 11 hours = -4.125 hours (or -4 hours and 7.5 minutes)

Since Bus 2 leaves Harare at 8:30AM, you can subtract -4.125 hours from 8:30AM to find the time the buses will meet.

8:30AM - -4.125 hours = 12:37:30 PM

So the buses will pass each other at 12:37:30 PM

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Answer:

Step-by-step explanation:

Answer:

.8 = P (laura)    

Step-by-step explanation:

Sally passes is .7

both passing is .56

P(sally and laura passing) = P(sally) * P(laura)

                  .56                   = .7 *  P(laura)

Divide each side by .7

.56/.7 =            .7 *  P(laura)/ .7

.8 = P (laura)            

The prevalence rate per 100,000 is 99.8%

We know that the prevalence rate is the proportion of persons in a population who have a particular disease over a specified period of time.

In this question, we have been given a data on breast cancer for the past year:

number of new cases: 1,774;

number of total cases: 4,192;

population: 5,977,906

We need to find the prevalence rate per 100,000

The total number of infected people = 1,774 + 4192

                                                             = 5966

Chance of infection in the whole population would be,

5,977,906/ 5966 ≈ 1002

This means, chances of having breast cancer is 1 in every 1002 people.

A prevalence rate is calculated by dividing total number of infected people by the total population. The result is then multiplied by 100,000

Now we calculate the prevalence rate per 100,000

= (5966 / 5,977,906) × 100,000

= 0.000998 × 100,000

= 99.8 %

Therefore, the prevalence rate per 100,000 is 99.8%

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Answer:

Tangent circles

Step-by-step explanation:

Tangent circles are coplanar circles that intersect in one point.

Hope this helps :)

Have a nice day!

Answer:

a and b*

Step-by-step explanation:

it's kinda self explanatory. she isn't very good at communicating with others. she is rude and disrespectful.

Answer:

If a square has a side length of 4, then the area is 16.

A = \(s^{2}\)    where s = side length.

If a diagonal is drawn to create 2 halves, then the area of each half is 8.

So most likely the answer you are seeking is:  \(\frac{1}{2}\) ( 4 · 4 )

Root 13 is a non-recurring, infinite decimal. Since 13 is not a perfect square, its square root cannot be determined precisely. 13 cannot be expressed as a fraction, which is the definition of a rational number, because it cannot be expressed as a ratio of integers.

An illustration of a rational number?

If p and q are integers and q is not equal to 0, then the number is in the form of p/q and is said to be rational. Rational number examples include 1/3, 2/4, 1/5, 9/3, and so on.

Irrational number examples include: Any real number that cannot be expressed as a fraction is considered to be illogical.

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Answer:

10$ for an adult and 7$ for a child

Step-by-step explanation:

price for an adult = a

price for a child = b

2a + 4b = 48.............(i)

5a + 2b = 64.............(ii)

make a subject of the formula in equation (i)

2a = 48 - 4b

divide through by 2

a = 24 - 2b

Insert the value of a in equation (ii)

5(24 - 2b) + 2b = 64

120  - 10b + 2b = 64

collect like terms

- 8b = 64 - 120

-8b = -56

divide both sides by -8

b = 7

insert the value of b in equation(i)

2a + 4(7) = 48

2a + 28 = 48

2a = 48 - 28

2a = 20

divide both sides by 2

a = 10

The price for one adult is $10 while the price for one child is $7

credit goes to vintechnology

hope that helped :)

Step-by-step explanation:

is "12x + 2" supposed to be the arc angle of UW ?

I assume so.

then per tangent secant angle theorem

6x + 4 = (154 - (12x + 2))/2 = (154 - 12x - 2)/2 = 77 - 6x - 1

12x + 4 = 77 - 1

12x = 72

x = 6

so, D is correct.

To detect an odd number that is 40 or more in a variable named x, the correct if statement(s) that apply are: if x >= 40 and x % 2 != 0: if x % 2 != 0 and x >= 40:

if x >= 40 and x % 2 != 0: checks two conditions. First, it checks if x is greater than or equal to 40 (x >= 40). This ensures that the number is 40 or more. Then, it checks if x modulo 2 is not equal to 0 (x % 2 != 0). This condition checks if the number is odd since odd numbers have a remainder of 1 when divided by 2.

if x % 2 != 0 and x >= 40: also checks two conditions. First, it checks if x modulo 2 is not equal to 0 (x % 2 != 0). This condition checks if the number is odd since odd numbers have a remainder of 1 when divided by 2. Then, it checks if x is greater than or equal to 40 (x >= 40). This condition ensures that the number is 40 or more.

By using either of these if statements, we can correctly detect an odd number that is 40 or more in the variable x.

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The complete table for the given function will be -

x                         y = x² + (-3)

0                              -3

1                               -2

2                                1

3                                6

Hence the correct option is (A).

Given the function is,

y = x² + (-3)

y = x² - 3 ........... (i)

Substituting the value x = 0 in equation (i) we get,

y = 0² - 3

y = 0 - 3

y = -3

Substituting the value x = 1 in equation (i) we get,

y = 1² - 3

y = 1 - 3

y = -2

Substituting the value x = 2 in equation (i) we get,

y = 2² - 3

y = 4 - 3

y = 1

Substituting the value x = 3 in equation (i) we get,

y = 3² - 3

y = 9 - 3

y = 6

Hence the correct option is (A).

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The question is incomplete. The complete question will be -

"Complete the table for the given function.

(A) –3, –2, 1, 6

(B) 3, 4, 7, 12

(C) 0, 1, 4, 9

(D) none of the above"

The probability of getting a head and a number greater than 5 i.e, independent events is 0.0833.

A coin is tossed and a die is rolled. These are two independent events. Two events are defined as independent if the outcome of one event has no effect on the outcome of another event. The probability is calculated by multiplying two independent probabilities together, i.e, P(A and B) = P(A) x P(B)

We have, Let us assume two independent events be ,

A : A coin is tossed and the head is thrown.

B : A die is rolled, and a number greater than 5 occurs.

Total possible outcomes when a coin tossed = 2 ={ H ,T }

Total possible outcomes when a die rolled = 6 = { 1,2,3,4,5,6} .

We have to determine probability of getting a head and a number greater

than 5.

Probability of getting the head on toss a coin, P(A) = 1/2

Probability of occuring a number greater than 5 on rolling a die = P(B) = 1/6

So, the probability of getting a head on coin and a number greater than 5 on die =P(A)×P(B)

=(1/2)× 1/6 = 1/12=0.0833

Hence, required probability is 0.0833.

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Answer: B. there are 3 people per long side. so 6 people per table. for x tables there are 6x people in total. the end tables can seat 1 person at each end which adds 2 more people.

WHERE'S B ?

Step-by-step explanation:

Answer:

b option is not available here answer will ends with 6

Answer:

17.5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The equation of the regression line is y = 0.430x + 3.59.

A characteristic of the data that is ignored by the regression line is that: A. The data has a pattern that is not a straight line.

In order to determine a linear equation for the regression line (trend line) that models the data points contained in the table, we would have to use a graphing calculator (scatterplot).

In this scenario, the x-values would be plotted on the x-axis of the scatterplot while the y-values would be plotted on the y-axis of the scatterplot.

On the Excel worksheet, you should right click on any of the data point on the scatterplot, select format trend line, and then tick the box to display an equation for the regression line (trend line) on the scatter plot.

By critically observing the scatterplot (see attachment) which models the relationship between the x-values and y-values, a linear equation for the regression line (trend line) is given by:

y = 0.430x + 3.59

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The circumference is 160 feet for a length of 40 feet. The perimeter is 200 feet for a length of 50 feet. The circumference is 240 feet for a length of 60 feet.

A rectangular region with a 1200 square foot area will have a different perimeter depending on how long it is. The perimeter will be 160 feet if the area is 40 feet long. The length of 40 feet is multiplied by four to get a final measurement of 160 feet. In a similar manner, if the area is 50 feet long, the perimeter will be 200 feet.

The length of 50 feet is multiplied by four to get a final result of 200 feet. Finally, the perimeter will be 240 feet if the area is 60 feet long. The length of 60 feet is multiplied by four to get a final measurement of 240 feet. A rectangular region with an area of 1200 square feet will therefore have a different perimeter depending on its length, with a length of 40 feet resulting in a perimeter of 160 feet, a length of 50 feet resulting in a perimeter of 200 feet, and a length of 60 feet resulting in a perimeter of 240 feet.

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