Use the change of base formula to evaluate the expression.log subscript 13 21=

Answer:

Step-by-step explanation:

a) 0.6406; b) 1.000; c) C. The probability from part​ (a) is more relevant because it shows the proportion of male passengers that will not need to bend; d) B. Since men are generally taller than​ women, a design that accommodates a suitable proportion of men will necessarily accommodate a greater proportion of women.

Answer:

I think this is it.....If not let me know

2x - y = 3

Slope = 2

x - intercept = 3/2 = 1.50000

y - intercept = 3/-1 = -3.0000

x + y = 0

Slope = -2.000/2.000 = -1.000

x - intercept = 0/1 = 0.0000

y - intercept = 0/1 = 0.0000

Answer:

Step-by-step explanation:that is,have them in this form:y = mx + b.Set the two equations for y equal to each other.Solve for x.This will be the x- coordinates for the point of intersection.

The situation Veronica receives $21 for babysitting, and then spends the same amount, $21, on a new shirt quantities combine to make 0.The correct answer is option C.

When we add +21 (the money she receives) and subtract -21 (the money she spends), the result is 0. This means that the net change in Veronica's money is zero, indicating that the quantities combine to make 0.

In situations A, B, and D, the quantities do not combine to make 0. In situation A, the player earns 4 points for getting an answer right and then earns an additional 4 points for making it around the board.

The total points earned in this situation would be 8, which is not equal to 0.

In situation B, the car is initially filled with 10 gallons of gas, but then half of that, which is 5 gallons, is used on a day's drive. The remaining fuel in the car would be 5 gallons, which is also not equal to 0.

In situation D, the bird flies 25 feet up in the air and then 25 feet across to its nest. The total distance traveled by the bird would be 50 feet, which is not equal to 0.

Therefore, only in situation C, where Veronica receives and spends the same amount of money, do the quantities combine to make 0.

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The probable question may be:

In which of these situations do the quantities combine to make 0?

A. A player a game earns 4 points for getting an answer right. She then earns 4 points for making it around the board.

B. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive.

C. Veronica receives $21 for babysitting. She then spends $21 on a new shirt.

D. A bird flies 25 feet up in the air. It then flies 25 feet across to its nest.

Answer:

m= - 396.253089

Step-by-step explanation:

hope this helps

Answer: 8.75 is the correct answer

Step-by-step explanation:

I'm big brain.

Given statement solution is :- a) The area of one semi-circle at one end is  58.09 square feet.

b) The area of the garden is 274.42 square feet.

c) The area in square metres is approximately 58.09 square feet.

The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

a) To find the area of one semi-circle at one end, we need to calculate the area of a complete circle and then divide it by 2. The formula for the area of a circle is A = πr², where A represents the area and r is the radius.

Since the diameter of the semi-circle is equal to the width of the rectangular portion, which is 8.6 feet, the radius will be half of that, which is 8.6 / 2 = 4.3 feet.

Now we can calculate the area of the semi-circle:

A = (π * 4.3²) / 2

A ≈ 58.09 square feet

b) To find the area of the garden, we need to sum the area of the rectangular portion with the areas of the two semi-circles.

Area of the rectangular portion = length * width

Area of the rectangular portion = 18.4 feet * 8.6 feet

Area of the rectangular portion ≈ 158.24 square feet

Area of the two semi-circles = 2 * (area of one semi-circle)

Area of the two semi-circles ≈ 2 * 58.09 square feet

Area of the two semi-circles ≈ 116.18 square feet

Total area of the garden = area of the rectangular portion + area of the two semi-circles

Total area of the garden ≈ 158.24 square feet + 116.18 square feet

Total area of the garden ≈ 274.42 square feet

c) To convert the area from square feet to square meters, we need to know the conversion factor. Since 1 foot is approximately 0.3048 meters, we can use this conversion factor to convert the area.

Area in square meters = Total area of the garden * (0.3048)²

Area in square meters ≈ 274.42 square feet * 0.3048²

Area in square meters ≈ 25.49 square meters

Therefore, the area of one semi-circle at one end is approximately 58.09 square feet. The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

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Hey there!

Finding something that’s equivalent to: 4m - 20

Option A.
4(m - 5)

= 4(m) + 4(-5)

= 4m - 20

Possibly Option A. is your answer.

Option B.
2(2m - 10)

= 2(2m) + 2(-10)

= 4m - 20

Possibly Option B. could be your answer

Option C.
4(m - 20)

= 4(m) + 4(-20)

= 4m - 80

Optipn C. isn’t your answer

Option D.
2(2m - 20)

= 2(2m) + 2(-20)

= 4m - 40

Option D. also isn’t your answer just like Option C.

FACTORS OF: 4m - 20

4: 1,2,4, & m

20: 1,2,4,5,10,& 20

LIKE TERMS: 1,2,4

GCF: 4

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The equivalent expression is 5 - 3x/2. Option D

Algebraic expressions are described as expressions that are made up of variables, their coefficients, factors and constants.

these algebraic expressions are also composed of mathematical operations. These operations includes;

From the information given, we have that;

1/ 4(8 - 6x + 12)

expand the bracket, we have;

Add the like terms

1/4(20 - 6x)

now, multiply the values, we have;

20 - 6x/4

Divide by the denominator

5 - 3x/2

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The complete question:

Simply the expression:

1/ 4(8 - 6x + 12)

The probability that exactly 6 of the 10 flights today have empty seats is  0.1576   .

Bernoulli  Distribution is applied when the p and q are same on each trial

,

represented by

\(P(X=a)=\) ⁿCₐ \(p^{a}q^{n-a}\)

where a = number of times success occurs ,

p = probability of success,

q = probability of failure,

n = number of trial .

In the question ,

it is given that

p = probability of flights having empty seats from ORD to MCO= 74% = 0.74

q = probability of flights not having empty seats = 1-0.74 = 0.26

n = 10  , as 10 flights are scheduled ,

So ,

P(X=6) = ¹⁰C₆(0.74)⁶(0.26)⁴

On solving further we get ,

= ¹⁰C₆ * 0.1642* 0.0045

= 0.1576

Therefore , the probability that exactly 6 of the 10 flights today have empty seats is 0.1576 .

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Answer:

36pi. in. answer is D

Step-by-step explanation:

C = 2(18)pi= 36pi in

The completed table of values for the equation 4x + 2y = 64 is provided .

To complete the table of values for the equation 4x + 2y = 64, we can assign different values to x and solve for y. Let's choose a range of values for x and calculate the corresponding values of y.

Table of Values:

x y

0 32

4 28

8 24

12 20

16 16

20 12

24 8

28 4

32 0

To find the values of y, we substitute each x-value into the equation and solve for y. For example, when x is 0, we have 4(0) + 2y = 64, which simplifies to 2y = 64 and y = 32. Similarly, for x = 4, we have \(4(4) + 2y = 64\), which simplifies to \(16 + 2y = 64\) and\(y = 28.\)

By continuing this process for the remaining values of x, we can complete the table of values for the equation 4\(x + 2y = 64.\)

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A

Step-by-step explanation:

the answer you chose is correct, multiplying the 4 members w 10 and the other one by 24,

Answer:

i think you well read and answer

Step-by-step explanation:

The tangents of the acute angles in the right triangle gives:

tan(G) = 2

tan(H) = 1/2

It should be noted that tangent is the ratio of opposite over adjacent. Thus:

tan(angle) = opposite/adjacent

So for reference angle G, we say,

tan(G) = JH/GJ = 2/1 = 2

We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)

So we have this interesting property where

tan(G)*tan(H) = 2*(1/2) = 1

In general,

tan(A)*tan(B) = 1 if and only if A + B = 90 degrees

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Answer:

Hey mate....

Step-by-step explanation:

This is ur answer....

5/3 = x/6

= 5×6/3 = x

= 30/3 = x

= 10 = x

= x = 10

Hope it helps!

Brainliest pls!

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Answer:

x=10

Step-by-step explanation:

3*2=6 and using giant one its 5*2 which is 10

10/6

The number of tickets that will be sold is 5560.

What is division?

A division is one of the fundamental mathematical operations that divides a larger number into smaller groups with the same number of components. How many total groups will be established, for instance, if 20 students need to be separated into groups of five for a sporting event? The division operation makes it simple to tackle such issues. Divide 20 by 5 in this case. 20 x 5 = 4 will be the outcome. There will therefore be 4 groups with 5 students each. By multiplying 4 by 5 and receiving the result 20, you may confirm this value.

Ticket sales for Six Flags White Water totaled $94,520 this summer.

Tickets for the water park cost $17 each.

The number of tickets sold will be = 94520/17 = 5560.

Hence, the number of tickets that will be sold is 5560.

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The multiplicative rate of change of the function is 2/3

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

1,6 2,4 3,8/3 and 4,16/9

These can be represented as

(1,6) (2,4) (3,8/3) and (4,16/9)

The multiplicative rate of change is then calculated as

Rate = f(2)/f(1)

Substitute the known values in the above equation, so, we have the following representation

Rate = 4/6

Evaluate

Rate =2/3

Hence, the rate is 2/3

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The area of the shaded region of a circle with a 100 degree angle and a radius of 3cm, using pi=3.14, is approximately 25.64 square centimeters.

To find the area of the shaded region of a circle, we need to subtract the area of the sector formed by the shaded region from the area of the whole circle.

The area of the whole circle is given by

A = πr²

where A is the area of the circle, r is the radius of the circle, and π is a mathematical constant approximately equal to 3.14 (as given in the question).

Substituting the given values, we get

A = π(3cm)²

A = 28.26 cm² (rounded to two decimal places)

Now, let's find the area of the sector formed by the shaded region.

The angle of the sector is given as 100 degrees. To find the area of the sector, we need to use the formula:

A = (θ/360)πr²

where θ is the angle in degrees, r is the radius of the circle, and π is again approximately equal to 3.14.

Substituting the given values, we get

A = (100/360)π(3cm)²

A = 2.62 cm² (rounded to two decimal places)

Finally, we can find the area of the shaded region by subtracting the area of the sector from the area of the whole circle

Shaded area = Area of circle - Area of sector

Shaded area = 28.26 cm² - 2.62 cm²

Shaded area = 25.64 cm² (rounded to two decimal places)

Therefore, the area of the shaded region of the circle is approximately 25.64 square centimeters.

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--The given question is incomplete, the complete question is given

" Find the area of a shaded region of circle and use 3.14 for pi "--

Step-by-step explanation:

all these are the answers of your question

hope it is helpful to you

Answer:

The y value of a point where a vertical line intersects a graph represents an output for that input x value. If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output.

Answer:

200 pounds per crate

Step-by-step explanation:

because if you divide 1600 by 8 than you get 200 pounds. then that is you unit rate

Answer:

250

2000 divided by 8

Step-by-step explanation:

Plug in maximum value of x (3) and see what you get. The maximum value of the expression when plugged in is C.

\(3^3-3\cdot3+5=C\)

\(27-9+5=C\implies 23=C\)

Now that means,

\(x^3-3x+5\leq 23\) for any x in \([0,3]\)

Hope this helps :)

Answer:

Since AB = BC,

3m + 5 = 4m - 10

m = 15

Answer: (-8,8)

Step-by-step explanation:

f(x) = 3x

find the domain of the linear function

(-8,8)

Step-by-step explanation:

10y+16-16=96-16

10y=80 (divide by 10)

y=8

Answer:

Y = 8

Step-by-step explanation:

1. First we want to subtract.

10y + 16 = 96

10y + 16-16 = 96 - 16

2. Next we simplify

Subtract the number

10y =80

3. We want to dived both the numbers.

10y 80

10y / 10 = 80 / 10

4. Next we divide the numbers.

Y = 8

Answer:

\(\huge\boxed{[-5;\ -2)\ \cup\ [3;\ 13)}\)

Step-by-step explanation:

The following piecewise functions are linear functions. The graph of any of them is a line segment.

We just need to calculate the value of the function at each end specified in the brace.

\(y=3x-2\ \text{if}\ -1\leq x<0\)

Substitute x =-1 and x = 0:

\(x=-1\\y=3(-1)-2=-3-2=-5\\\\x=0\\y=3(0)-2=0-2=-2\)

Range of this piece is [-5; -2)

\(y=2x+3\ \text{if}\ 0\leq x<5\)

Substitute x =0and x = 5:

\(x=0\\y=2(0)+3=0+3=3\\\\x=5\\y=2(5)+3=10+3=13\)

Range of this piece is [3; 13)

Therefore the range of the following piecewise function is:

\([-5;\ -2)\ \cup\ [3;\ 13)\)

Look at the picture.

Answer:

b) \(f(x)=\frac{1}{x^2}\)

Step-by-step explanation:

*View graph attached*

Hope this helps!