The length of the ant in inches is about 1 over 8 inch. Write this as a decimal. Then write the ant's length in meters in standard form in centimeters and in one other form.

Answer:

a = 4, b = 0

Also, a = 0 and b = 0 :)

If due to gravity, an object falls 16t^2 feet in t seconds. You drop a rock from a bridge that is 75 feet above the water. The rock will hit the water in 2 seconds?

Given data:

Object falls = 16t² feet in t seconds

Rock from a bridge = 75 feet above the water

So,

72 =16t²

t² = 72/16

t²=  4.5

t = √4.5

t  =  2.12 seconds to hit the water

Therefore we can conclude that the rock will hit the water in 2 seconds.

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Answer:

1. B

2. C

3. B

Step-by-step explanation:

You're Welcome

If a /b = p/q, then (a + b)/b = b/(a+d) exists FALSE.

Let a, b, c, d be the four numbers, then

if a : b = c : d then (a + b) : b :: (c + d) : d.

If a : b :: c : d then (a - b) : b :: (c - d) : d.

Given equation,

\($\Rightarrow \frac{a}{b}=\frac{p}{q}$$\)

Adding 1 on both sides of the equation, we get

\($&\Rightarrow \frac{a}{b}+1=\frac{p}{q}+1 \\\)

\($&\Rightarrow \frac{a+b}{b}=\frac{p+q}{q}\)

This rule exists also comprehended as the Componendo property of fractions.

Therefore, \($\frac{a+b}{b}=\frac{p+q}{q}$$\) then a = pb + q but the hypothesis says that

a = (p+b) / q.

If a /b = p/q, then (a + b)/b = b/(a+d) exists FALSE.

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The measure of the central angle is 0.75 radians

An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.

The area of a figure is the amount of space it occupies in its two dimensional state.

The length of an arc with an angle of Ф is given by:

Length of arc = (Ф/360) * (π * diameter)

The diameter is 16 cm and intercepted arc length is 6 cm, hence:

Length of arc = (Ф/360) * (π * diameter)

6 = (Ф/360) * (π * 16)

Ф = 42.97°

Ф = 42.97° * π/180 = 0.75 radian

The measure of the central angle is 0.75 radians

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Answer:

B (2,0)

Step-by-step explanation:

The solution of the system is (2, 0).

Simultaneous equations are any one or more equations that can have the same number of unknowns and be solved concurrently. The system of equations is the simultaneous equation.

Given information:

The system of equations,

y = -2x + 4

y = x- 2.

To find the solution to the system of equations, find the intersection points of the equations.

As per the graph given in the attachment below.

So, the intersection point is (2, 0).

Therefore, the point is (2, 0).

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Solution:

Using Cosine rule;

Thus, we have;

The calculated IQR of the list of numbers is 3

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

1, 2, 4, 3, 3, 8, 5, 6

Sort the above number in ascending order

So, we have

1, 2, 3, 3, 4, 5, 6, 8

Split the above numbers to 2

So, we have

1, 2, 3, 3

4, 5, 6, 8

In the above, we have

Q1 = (2 + 3)/2 = 2.5

Q3 = (5 + 6)/2 = 5.5

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

IQR = 5.5 - 2.5

Evaluate

IQR = 3

Hence, the IQR of the list of numbers is 3

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The solution of the logarithm equation are as follows:

a. l = 100000

b. l = 1000000

Any equation in the variable x that contains a logarithm is called a logarithmic equation.

Let's solve the logarithm equation as follows:

a.

50  = 10 log₁₀ l

Using logarithm law,

50  = 10 log₁₀ l

50  = log₁₀ l¹⁰

10⁵⁰ = l¹⁰

multiply both sides of the exponents by 1 / 10

Hence,

l = 10⁵

Hence, the value of  l = 100000

b.

60 = 10 log₁₀ I

Using logarithm rule,

60 = 10 log₁₀ I

60 = log₁₀ l¹⁰

10⁶⁰ = l¹⁰

multiply both sides of the exponents by 1 / 10

l = 10⁶

Hence, the value of  l = 1000000

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The question is wrong bro.

Answer:

{ -4,-2,0,2,4}

Step-by-step explanation:

The range of the inverse is the domain of the function

The domain of the function is the x values

Domain{ -4,-2,0,2,4}

This is also the range  of the inverse

Answer:

{ -4,-2,0,2,4}

Step-by-step explanation:

It is the range of inverse function

The number written on the board will be negative 27. This can be solved by using the concept of algebra.

Algebra is the study of mathematical symbols, while logic is the manipulation of those symbols.

Let x be the number.

There is a number written on the board. One student increased the number by 23. Then the first number will be

⇒ x + 23

But another student decreased the same number by 1. Then the second number will be

⇒ x - 1

The first student's result was 7 times greater than the result of the second student.

7 first number = second number

or, 7(x + 23) = x - 1

or, 7x + 161 = x - 1

or, 6x = - 162

or, x = - 27

The number written on the board will be negative 27.

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Answer:

\(Ratio = 35 : 1\)

Step-by-step explanation:

Given

\(Ratio = 5 : 1/7\)

Required

Determine the unit ratio

A unit ratio is represented as:

\(Ratio = a : 1\)

Where

\(a \ne 1\)

So, we have

\(Ratio = 5 : 1/7\)

Divide ratio by 1/7

\(Ratio = 5/(1/7) : (1/7)/(1/7)\)

Using a calculator, we have:

\(Ratio = 35 : 1\)

Hence, the unit ratio is:

\(Ratio = 35 : 1\)

Answer:

Step-by-step explanation:

To show that the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\), we can simplify both sides of the equation using the properties of logarithms. Here are the steps:

Step 1: Simplify the expression on the left side:

\(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\)

Step 2: Apply the logarithmic property \(\ln(a) - \ln(b) = \ln\left(\frac{a}{b}\right)\) to combine the logarithms:

\(\ln\left(\frac{\sqrt{2} + 1}{\frac{1}{\sqrt{2}}}\right)\)

Step 3: Simplify the expression within the logarithm:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)}\right)\)

Step 4: Simplify the denominator by multiplying by the reciprocal:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)} \cdot \sqrt{2}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{\left(\frac{1}{\sqrt{2}}\right) \cdot \sqrt{2}}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

Step 5: Simplify the numerator:

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

\(\ln\left(\sqrt{2}(\sqrt{2} + 1)\right)\)

\(\ln\left(2 + \sqrt{2}\right)\)

Now, let's simplify the right side of the equation:

Step 1: Simplify the expression on the right side:

\(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\)

Step 2: Simplify the expression within the logarithm:

\(-\ln\left(\frac{\sqrt{2} - 1}{\sqrt{2}}\right)\)

Step 3: Apply the logarithmic property \(\ln\left(\frac{a}{b}\right) = -\ln\left(\frac{b}{a}\right)\) to switch the numerator and denominator:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

Step 4: Simplify the expression:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

\(-\ln\left(\frac{\sqrt{2}(\sqrt{2} + 1)}{1}\right)\)

\(-\ln\left(2 + \sqrt{2}\right)\)

As we can see, the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) simplifies to \(\ln(2 + \sqrt{2})\), which is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\).

It is given that the general equation is:

Here A is the number of people attending and p is the price of ticket.

Find the values of m and b by the conditions.

When A=1850, p=17 so it follows:

When A=2700, p=13 so it follows:

Subtract (ii) from (i) to get:

Substitute the value of m in (i) to get:

So the equation becomes:

Hence the linear equation is 2A=-425p+10925.

The selection can be made in 15 different ways, taking into account the distinct combinations of a boy and a girl from the given group of 5 boys and 3 girls.

To determine the number of ways a boy and a girl can be selected from a group of 5 boys and 3 girls to attend a conference, we can use the concept of combinations.

The number of ways to choose one boy from 5 boys is 5C1, which is equal to 5. Similarly, the number of ways to choose one girl from 3 girls is 3C1, which is equal to 3.

To select one boy and one girl, we need to multiply the number of ways to choose a boy and a girl together. Using the multiplication principle, we multiply the number of choices for each category: 5C1 * 3C1 = 5 * 3 = 15.

Therefore, there are 15 ways to select a boy and a girl from the given group to attend the conference.

Each combination represents a unique pair consisting of one boy and one girl. For example, if the boys are labeled as B1, B2, B3, B4, and B5, and the girls are labeled as G1, G2, and G3, the possible pairs could be (B1, G1), (B1, G2), (B1, G3), (B2, G1), (B2, G2), and so on, up to (B5, G3).

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Answer:

origin

Step-by-step explanation:

the point (0,0) is called the origin

Answer:

The center of a coordinate plane, which is point (0,0) is called "the origin."

Step-by-step explanation:

Answer:

The probability that x is larger than 12 when df = 19 = 0.100

Step-by-step explanation:

We are supposed to find the probability value at x>12 at degree of freedom equals to 19.

P(x>12)

By looking at the chi square table we can see, at df = 19 and x>12, P(x>12) is equal to 0.100

because at df = 19, the least x values is 27.2036 for which (Px=27.2036) or (Px>12) = 0.100

Check the picture below.

The image is reflected over the y-axis. Then the correct option is B.

Given that:

Point of the polygon VWXYZ, W(2, 4)

Point of the polygon V'W'X'Y'Z', W'(-2, 4)

The translation does not change the shape and size of the geometry. But changes the location.

The reflection does not change the shape and size of the geometry. But flipped the image.

The point W' can be obtained by reflecting the shape across the y-axis.

Thus, the correct option is B.

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The missing diagram is given below.

Answer:

329 degrees F

Step-by-step explanation:

If you plug in your known variables into the calculator, you would get the answer 329 for F. You plug in 165 as C in the equation to find your answer.

Answer:

Step-by-step explanation:

I think the median you are asking is the middle value,

because there is a total of 20 vehicles,  there are two middle number: 31 and 31.

To solve this:

you first plus these two numbers together, you will get 62.

then divide them by 2, then you will get the middle number.

the middle number will be 31. ( actually because theese two number are the same, you do not really need to plus them then divide by 2, you could just answer the question 31, but because when you do other question and has the same situation but not the same number, (suppose you got 20 and 21) Then you need to do this question like I said above)

I wish this could help you.

The median number of vehicles going through the line in a 15-minute period is of 27.

The sorted data-set for this problem is:

15 20 24 25 25 25 25 27 27 27 27 27 28 28 29 30 31 31 31 35

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Answer:the slope =7/4.

7 over 4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

96 ounces = to 6 pounds

7-6=1

The function at the given value of the independent variable, f(x) = 1/√(x-4)f(x) - f(5) / x - 5 is (x-5).

Each element of X is given precisely one element of Y by the function from a set X to a set Y. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealised relationship between two changing quantities.

We have given function as ,

f(x) = 1/√(x-4)

We have to find f(x) - f(5)/x-5

f(x) = f(5)/x-5 = 1/√(5-4)/(x-5)

= 1/√(5-4)/(x-5)

= (x-5)/√(5-4)

= (x-5)

Therefore, The function at the given value of the independent variable, f(x) = 1/√(x-4)f(x) - f(5) / x - 5 is (x-5).

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The answer is D, 75°.

All the interior angles of a triangle add up to 180°. With this information, we can set up this equation:

(x + 5) + (3x) + (3x) = 180

Combine like terms.

(x + 5) + (3x) + (3x) = 180

7x + 5 = 180

-5 -5

7x = 175

/7 /7

x = 25

Now, since this is an isosceles triangle, we can easily substitute the value of x into 3x. 3 • 25 = 75 which is 75°.

Answer:

+75%

Step-by-step explanation:

20 * x = 35

x = 35 / 20

x = 1.75

Answer:

75% increase in percentage.

Step-by-step explanation:

To calculate percentage, use the formula. Increase in price/Original price*100.

So, Increase in price = 35 - 20 = 15

= 15/20 * 100

= 15 * 5

= 75%

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