It’s all log base 10
I need help with all of them

Answer:

A.4

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

triangles' inside angles always equal 180. so 100+43=143. 180-143=37

Answer:

Here are the graphs

Step-by-step explanation:

1. Green Line

2. Purple Line

3. Red Line

We need to simplify the given expression (200 × 1.07) to find how many cars were sold in July. 200 × 1.07= 214. This means that the dealership sold 214 vehicles in the month of July.

A car dealership sells 200 vehicles in the month of June and then sells1 4 more vehicles in the month of July. This can be modeled by the numerical expression 200 1 4 (200). Simplify the expression to find how many cars were sold in July. The dealership sold cars in July.

As given that in the month of June the car dealership sold 200 vehicles and in the month of July, it sold 14 more vehicles than the June month, we can represent this with the help of the numerical expression,200 + 14 = 214.

Now, we need to simplify the given expression (200 × 1.07) to find how many cars were sold in July. 200 × 1.07= 214.

This means that the dealership sold 214 vehicles in the month of July.

To know more about Expression  visit :

https://brainly.com/question/28170201

#SPJ11

We will verify by substitution whether the given functions are solutions to their respective differential equations. The equations to be verified are:

y′ + 2xy^2 = 0  , x^2y′′ + xy′ − y = ln(x)

For the differential equation y′ + 2xy^2 = 0, we will substitute the given function y = f(x) into the equation and check if it satisfies the equation. Taking the derivative of y with respect to x, we have y′ = f'(x). Substituting these into the equation, we get f'(x) + 2xf(x)^2 = 0. If this equation holds true for all x in the domain, then the function y = f(x) is a solution to the differential equation.

For the differential equation x^2y′′ + xy′ − y = ln(x), we will substitute the given function y = f(x) into the equation and check if it satisfies the equation. Taking the first and second derivatives of y with respect to x, we have y′ = f'(x) and y′′ = f''(x). Substituting these into the equation, we get x^2f''(x) + xf'(x) - f(x) = ln(x). If this equation holds true for all x in the domain, then the function y = f(x) is a solution to the differential equation.

By substituting the given functions into their respective differential equations and verifying their validity, we can determine whether the functions satisfy the equations and hence confirm them as solutions.

Learn more about differential equations here:

https://brainly.com/question/32645495

#SPJ11

Answer:

fraction 2/3

decimal 0.66666

percentage 66.70%

Step-by-step explanation:

Hope this helps.

Answer:

Fraction Die: 1/6

Decimal Die: 0.16 or 0.2

Percentage Die: 16.6% or 17%

Fraction Spinner: 1/2

Decimal Spinner: 0.5

Percentage Spinner: 50%

Step-by-step explanation:

There are two of each color in the spinner, so it is a 50% chance of getting yellow.

There are 6 faces in the die so the chance of getting a 4 is 1/6

The type of transformation and scale factor as required are;

16) Rotation

17) Reflection

18) Dilation

19) n = 5

20)P = r = 4

There are different types of transformation as follows;

1) Translation: This type of translation is defined as moving the object in space by keeping its size, shape or orientation constant. In a translation, each point of the shape must be moved in the same direction and for the same distance

2) Dilation: This type of translation expands or contracts the object by keeping its orientation or shape the same. This is also known as resizing.

3) Rotation: This type of transformation has an object about a fixed point without changing its size or shape.

4) Reflection: This type of translation is called reflection because it flips the object across a line by keeping its shape or size constant.

16) This transformation is rotation based on the definitions above.

17) This type of transformation is a reflection as it is like the image was flipped across a line more like a mirror image.

18) This called dilation as the scale factor was adjusted to produce the new image.

19) Scale Factor = 6/3 = 2

Thus;

n = 10/2 = 5

20) Scale factor = 12/9 = 4/3

Thus;

P = r = 3 * 4/3

= 4

Read more about types of transformation at; https://brainly.com/question/4289712

#SPJ1

Answer:

needed what??????????

Therefore , the solution of the given problem of  expression comes out to be 15 years: 75 years

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted. Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the supplied expression, all of which are separated by the arithmetic sign +.

Here,

an expression to represent a dog's age in dog years for a dog that is at least two years old in order to respond to the inquiry above. if x represents human age

then the dog is 2 years older

X = human years

x + 2 =  is for the dog age

For 75 years

15 years: 75 years

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ4

By finding the vertical and horizontal asymptotes, you can use them to help find an expression for the rational function

To find an expression for a rational function given a vertical asymptote and a horizontal asymptote, start by recognizing that the general form of a rational function is f(x) = (ax + b)/(cx + d), where a, b, c, and d are all constants.

Next, use the given information to solve for a, b, c, and d in the equation. The vertical asymptote represents the x-values at which the denominator of the equation equals zero, so set cx + d equal to zero and solve for x. Similarly, the horizontal asymptote can be found by setting ax + b equal to the asymptote’s y-value.

Once both equations are solved for x, substitute the x-values back into the equation for the rational function and solve for the corresponding a, b, c, and d values.

A vertical asymptote occurs when the denominator of the rational function is equal to zero, so you can set the denominator equal to zero and solve for the variable to find the vertical asymptote.

A horizontal asymptote occurs when the degree of the numerator and denominator are equal, so you can look at the leading coefficients of the numerator and denominator to find the horizontal asymptote.

Know more about asymptotes here:

https://brainly.com/question/4138300

#SPJ11

ANSWER

f(-4) = -21

EXPLANATION

We have that:

f(x) = 6x + 3

We want to find f(-4)

To do this, we replace x with -4:

f(-4) = 6(-4) + 3

f(-4) = -24 + 3

f(-4) = -21

That is the answer.

Answer:

x = -4

Step-by-step explanation:

3x-2(6x-3)=42

Distribute

3x -12x+6 = 42

Combine like terms

-9x+6 = 42

Subtract 6 from each side

-9x+6-6 = 42-6

-9x = 36

Divide each side by -9

-9x/-9 = 36/-9

x = -4

Answer: -4

Step-by-step explanation:

3x-2(6x-3)=42

3x - 12x + 6 = 42

-9x + 6 = 42

-9x = 42 - 6

x = -36/9 = -4

Answer:

a₄ = - 2

Step-by-step explanation:

to calculate a term in the sequence subtract 5 from the previous term

give first term a₁  = 13 , then

a₂ = a₁ - 5 = 13 - 5 = 8

a₃ = a₂ - 5 = 8 - 5 = 3

a₄ = a₃ - 5 = 3 - 5 = - 2

The average annual rate of change in teen births from 1991 to 2017 is -1.65. This means that the number of teen births decreased by an average of 1.31 per year over this period.

The average annual rate of change in teen births between 1991 and 2017 can be found using the following formula:

\($\text{Average annual rate of change} = \frac{\text{Final value} - \text{Initial value}}{\text{Number of years}}$$\)

Substituting the given values, we get:

Final Value = 18.8

Initial value = 61.8

Number of years = 26

\($\text{Average annual rate of change} = \frac{18.8 - 61.8}{26} = -1.65$$\)

Therefore,
On average, the teen birth rate decreased by approximately 1.65 births per thousand each year during the period from 1991 to 2017. This is reflected in the average annual rate of change, which was approximately -1.65 births per thousand over the same period.

To know more about the "average annual rate of change": https://brainly.com/question/8728504

#SPJ11

Answer:

34.54

Step-by-step explanation:

To find the circumference of a circle, you need the formula 2π r^2. The radius is 5.5 so substitute that in for r (radius).

The concentration of HClO2 at equilibrium is 0.0055 M, expressed to three significant digits.

The acid-dissociation constant for chlorous acid (HClO2) is 1.1 × 10-2. Using the given information, we need to determine the concentration of H3O+ at equilibrium if the initial concentration of HClO2 is 1.90 × 10−2 M, the concentration of ClO2- at equilibrium if the initial concentration of HClO2 is 1.90 × 10−2 M, and the concentration of HClO2 at equilibrium if the initial concentration of HClO2 is 1.90 × 10−2 M.

Part A:

First, write the balanced equation for the dissociation of HClO2: HClO2 ⇌ H+ + ClO2-

We know that the acid dissociation constant, Ka = [H+][ClO2-] / [HClO2] = 1.1 × 10-2

Let x be the concentration of H+ and ClO2- at equilibrium. Then the equilibrium concentration of HClO2 will be 1.90 × 10-2 - x. Substitute these values into the equation for Ka:

Ka = x2 / (1.90 × 10-2 - x)

Solve for x:

x2 = Ka(1.90 × 10-2 - x) = (1.1 × 10-2)(1.90 × 10-2 - x)

x2 = 2.09 × 10-4 - 1.1 × 10-4x

Since x is much smaller than 1.90 × 10-2, we can assume that (1.90 × 10-2 - x) ≈ 1.90 × 10-2. Therefore:

x2 = 2.09 × 10-4 - 1.1 × 10-4x ≈ 2.09 × 10-4

x ≈ 0.0145 M

The concentration of H3O+ at equilibrium is 0.0145 M, expressed to three significant digits.

Part B:

The concentration of ClO2- at equilibrium is equal to the concentration of H+ at equilibrium:

[ClO2-] = [H+] = 0.0145 M, expressed to three significant digits.

Part C:

The equilibrium concentration of HClO2 will be 1.90 × 10-2 - x, where x is the concentration of H+ and ClO2-. We already know that x ≈ 0.0145 M. Therefore:

[HClO2]

= 1.90 × 10-2 - x

≈ 1.90 × 10-2 - 0.0145

≈ 0.0055 M

To know more about equilibrium visit:-

https://brainly.com/question/30694482

#SPJ11

Answer:

The concentration of HClO2 at equilibrium is approximately 1.8856 M.

Step-by-step explanation:

To calculate the concentration of H3O+ at equilibrium (Part A), ClO2− at equilibrium (Part B), and HClO2 at equilibrium (Part C), we will use the acid dissociation constant (Ka) and the initial concentration of HClO2. The balanced chemical equation for the dissociation of chlorous acid is:

HClO2 ⇌ H3O+ + ClO2−

Given:

Ka = 1.1×10^−2

Initial concentration of HClO2 = 1.90×10^−2 M

Part A: Concentration of H3O+ at equilibrium

Let's assume the change in concentration of H3O+ at equilibrium is x M.

Using the equilibrium expression for the dissociation of HClO2:

Ka = [H3O+][ClO2−] / [HClO2]

Substituting the given values:

1.1×10^−2 = x * x / (1.90×10^−2 - x)

Since x is small compared to the initial concentration, we can approximate (1.90×10^−2 - x) as 1.90×10^−2:

1.1×10^−2 = x^2 / (1.90×10^−2)

Simplifying the equation:

x^2 = 1.1×10^−2 * 1.90×10^−2

x^2 = 2.09×10^−4

x ≈ 0.0144 M

Therefore, the concentration of H3O+ at equilibrium is approximately 0.0144 M.

Part B: Concentration of ClO2− at equilibrium

Since HClO2 dissociates in a 1:1 ratio, the concentration of ClO2− at equilibrium will also be approximately 0.0144 M.

Part C: Concentration of HClO2 at equilibrium

The concentration of HClO2 at equilibrium is equal to the initial concentration minus the change in concentration of H3O+:

[HClO2] = 1.90×10^−2 M - 0.0144 M

[HClO2] ≈ 1.8856 M

To know more about Dissociation constant

https://brainly.in/question/17557041

#SPJ11

Answer:

D. She is correct; the histogram is skewed to the right because there is less data on the right side.

Step-by-step explanation:

I just did it on edge

Option D is correct. She is correct; the histogram is skewed to the right because there is fewer data on the right side.

A skewed distribution is one in which one of the two sides is biased (either left or right). It's like a mountain tilting to one side (left or right).

Like the picture, a left skewed graph has an extended tail on the left side of the main peak. A right skewed graph features an extended tail on the right side of the main peak.

She is correct; the histogram is skewed to the right because there is fewer data on the right side.

Hence, option D is correct.

To learn more about skewed distribution, refer:

https://brainly.com/question/13111221

#SPJ2

Answer:

-(m+2)(m^2+16)

Step-by-step explanation:

Answer:

a) $160

b) $116.50

Step-by-step explanation:

a) Let the original price of the yellow bicycle be $x.

Since both has the same original price,

original price of yellow bicycle= 100% x

original price of green bicycle= 100% x

Discounted price of yellow bicycle

= (100% -25%) x

= 75% x

Discounted price of green bicycle

= (100% -30%) x

= 70% x

Difference in cost

= 75%x -70%x

= 5% x -----(1)

From 2nd paragraph:

Discounted price of yellow bicycle

= Kyreen's money +3.50

Discounted price of green bicycle

= Kyreen's money -4.50

Difference in cost

= (Kyreen's money +3.50) -(Kyreen's money -4.50)

= Kyreen's money +3.50 -Kyreen's money +4.50

= 3.50 +4.50

= 8.00 -----(2)

Equating (1) and (2) together:

5% x= 8.00

\( \frac{5}{100} x = 8\)

\(x = 8 \div \frac{5}{100} \)

\(x = 8 \times \frac{100}{5} \)

x= 8 ×20

x= 160

Thus, the original price of the yellow bicycle is $160.

_______

b) Amount Kyreen has at first

= discounted price of yellow bicycle -$3.50

= 75%($160) -$3.50

= $120 -$3.50

= $116.50

The formula to calculate the volume of the brick is given to be:

We have the following dimensions, converted to meters, as follows:

Therefore, the volume is:

a) H0 = 15 m, is the initial height, the height of the rocket at time 0 s.

b) D = [0,5]

c) R = [0,35]

The set of inputs that a function will accept is known as the domain of the function in mathematics. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

Here, we have

a) H0 is the initial height. It means the height of the rocket at time 0 s.

This value is 15 m.

b) The domain is all values of t between 0 and 5 seconds.

D = [0,5]

c) The range is all values of height from 0 to 35 meters.

R = [0,35]

Hence, a) H0 = 15 m, is the initial height, the height of the rocket at time 0 s.

b) D = [0,5]

c) R = [0,35]

To learn more about domain visit:

brainly.com/question/26098895

#SPJ1

Complete question is: The graph H shows the height, in meters, of a rocket 1 seconds after it was launched.

a. Find H0). What does this value

represent?

b. Describe the domain of this function.

c. Describe the range of this function.

Answer:

Step-by-step explanation:

.

there you goo :)) on the chain up on the left from 3 to 48 they keep multiplying by 2, and the other one, they keep subtracting by 7

Considering the standard deviation and the scores, The mean of the test is 41.

To solve this problem, we need to use the information given about the standard deviation and the scores to determine how many standard deviations each score is from the mean.

Let x be the mean of the test. Then we know that:

We can solve for x by rearranging the equations:

Setting these two expressions for x equal to each other, we get:

Solving for s, we find:

Substituting this value of s into either of the equations above, we can solve for x:

Therefore, the mean of the test is 41.

Learn more about mean

https://brainly.com/question/28225633

#SPJ4

Answer:

30 feet

Step-by-step explanation:

For this, you have to use pythagoras' theorem - a^2=b^2+c^2, or to work out the hypotenuse - a^2=b^2-c^2, where b is the hypotenuse.

You just need to substitute the numbers into this formula to get 32.5^2-12.5^2=900.

The you work out the square root of 900, which is 30.

The calculated height of the building is 335.95 feet

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

Angles = 30 degrees and 50 degrees

Distance from the base = 300 feet

Represent the height of the building and the closer distance with x

So, we have

tan(30) = y/x

tan(50) = y/(x - 300)

Make x the subject

So, we have

x = y/tan(30)

x = y/tan(50) + 300

Subtract the equations

y/tan(30) = y/tan(50) + 300

So, we have

y/tan(30) - y/tan(50) = 300

Evaluate

y(0.893) = 300

Divide both sides by 0.893

y = 335.95

Hence, the height of the building is 335.95 feet

Read more about bearing and distance at

https://brainly.com/question/22719608

#SPJ4