Suppose a car takes 3 hours to cover a distance of 45 km. What is the average speed of this car in km/h and m/?​

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{0}}}}}\)

Step-by-step explanation:

\( \sf{1 - 3x = 1 - x}\)

Move x to left hand side and change it's sign

Similarly, move 1 to right hand side and change it's sign

\( \dashrightarrow{ \sf{ - 3x + x = 1 - 1}}\)

Collect like terms

\( \dashrightarrow{ \sf{ - 2x = 0}}\)

Divide both sides by -2

\( \dashrightarrow{ \sf{ \frac{ - 2x}{ - 2} = \frac{ 0}{ - 2}}} \)

Calculate

\( \dashrightarrow{ \sf{ x = 0}}\)

Hope I helped!

Best regards! :D

Answer:

D

Step-by-step explanation:

The unmarked angle of the triangle is also 40o. The triangle is marked with two equal sides (isosceles).

<2 + 40 + 40 = 180            Combine the left

<2 + 80 = 180                    Subtract 80 from both sides

<2 = 180 - 80

<2 = 100 degrees.

That's not the answer. We have to solve for x

<2 = x + 106

100 = x + 106       Subtract 106 from both sides

100 - 106 = x

x = - 6

Answer:

36ft

Step-by-step explanation:

The equations in slope-intercept forms are: y = (2/7)x + 6 and y = (-7/4)x - 1/2. They are not perpendicular.

To rewrite the given equations in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept:

2x - 7y = -42

Rearranging the equation:

-7y = -2x - 42

y = (2/7)x + 6

Equation 1 in slope-intercept form: y = (2/7)x + 6

4y = -7x - 2

y = (-7/4)x - 1/2

Equation 2 in slope-intercept form: y = (-7/4)x - 1/2

To determine whether the lines are perpendicular, we need to compare their slopes. Perpendicular lines have slopes that are negative reciprocals of each other.

The slope of Equation 1 is 2/7, and the slope of Equation 2 is -7/4.

Calculating the negative reciprocal of the slope of Equation 1:

Negative reciprocal of 2/7 = -7/2

The slopes are not negative reciprocals of each other (-7/4 ≠ -7/2), so the lines are not perpendicular.

Learn more about Equation in Slope-intercept Form on:

https://brainly.com/question/1884491

#SPJ1

Answer:

1,1.1,1.25,1.5,1.7,9

Answer:

HELLO CARA IT'S ME CONNIE, I MISS U SO MUCH!! <33

Answer: Rounding up to the next higher ten thousandth, the tax rate for Blunt County is approximately 8.8 mils.

Step-by-step explanation: To find the tax rate of Blunt County, we can divide the amount needed from property tax by the total assessed value of property and then convert the result to mils. Here's the calculation:

Tax Rate = (Amount Needed from Property Tax / Total Assessed Value of Property) * 1000

Tax Rate = ($1,160,000 / $133,000,000) * 1000

Tax Rate = 0.008721804511278195 * 1000

Tax Rate = 8.721804511278195 mils

Therefore, the tax rate of Blunt County is 8.7 mils (rounded to 1 decimal place).

To calculate the tax rate of Blunt County, we can divide the amount of money needed from property tax ($1,160,000) by the total value of assessed property in Blunt County ($133,000,000) and convert it to mils (thousandths of a dollar).

Tax Rate = (Amount of Money Needed from Property Tax / Total Value of Assessed Property) * 1,000

Tax Rate = ($1,160,000 / $133,000,000) * 1,000

Tax Rate = 0.0087 * 1,000

Tax Rate = 8.7 mils

To know more about tax rate,

https://brainly.com/question/17102384

#SPJ11

Answer:

Solving a system of inequalities is almost like solving a system of equations. Pretend that the inequality signs are equal signs for a moment. Then, solve the system for the two unknown variables just like how you would solve for in a system of equations.

But, there's a catch. If you divide both sides of the inequality by a negative number, you have to flip the inequality sign. For example, if you are trying to solve the inequality -x > 4 you would have to divide both sides of the equation by -1. We would get x < -4 (see how I switched the inequality sign from > to <).

Once you find the values of x and y (they will be an inequality), graph the solutions.

The z-score of 0.3162 is less than 2.33, we fail to reject the null hypothesis. There is not enough evidence to conclude that the valve performs above the specifications.

The null hypothesis is that the valve produces a mean pressure of 5.5 pounds/square inch. The alternative hypothesis is that the valve produces a mean pressure greater than 5.5 pounds/square inch.
The decision rule for rejecting the null hypothesis at a significance level of 0.01 is to reject it if the test statistic (z-score) is greater than 2.33.
To calculate the z-score, we use the formula:
z = (sample mean - hypothesized mean) / (standard deviation / sqrt(sample size))
z = (5.6 - 5.5) / (0.8 / sqrt(18))
z = 0.3162
Since the z-score of 0.3162 is less than 2.33, we fail to reject the null hypothesis. There is not enough evidence to conclude that the valve performs above the specifications.

Learn more about hypothesis here

https://brainly.com/question/606806

#SPJ11

it is not a universal rule that the sum of two repeating decimals will always be a repeating decimal. There are instances where their sum can result in a terminating decimal or an integer, as demonstrated in the examples above.

It is not always true that the sum of two repeating decimals must be a repeating decimal.

There are cases where their sum can result in a terminating decimal or even an integer.
Let me provide you with a step-by-step explanation:
Firstly, understand what a repeating decimal is. A repeating decimal is a decimal number that has a repeating pattern of digits after the decimal point, such as 0.333... or 0.272727...
Now, let's consider two repeating decimals as examples: 0.333... and 0.666...
Add these two repeating decimals together:
  0.333...
+ 0.666...
---------
= 0.999...
Observe that the result, 0.999..., is also a repeating decimal. In fact, it is mathematically equal to the integer 1. This demonstrates that the sum of two repeating decimals can be an integer.
Let's consider another example: 0.333... and 0.467467...
Add these two repeating decimals together:
  0.333...
+ 0.467467...
------------
= 0.800467...
In this case, the sum of the two repeating decimals is a mixed decimal with a terminating part (0.800) and a repeating part (467).

for more questions on repeating decimal

https://brainly.com/question/18421216

#SPJ11

Answer:

50

Step-by-step explanation:

10 + (20x2) = 50

Answer:

$46,000

Step-by-step explanation:

We just need to subtract all the annual payments from the salary to figure out her disposable income (which is the income remaining after deduction of taxes and social security charges).

So here's what we get

$60,000 - $3,000 - $5,000 - $6,000 = $46,000

P.S. Hope it makes sense. If you have any questions, feel free to share them in the comment senction below. I'll be happy to help. Have a wonderful day!

By factoring the given polynomial functions, we can obtain the factorization of the polynomial as the product of simpler polynomials

a) f(x)=x3−13x+12

The polynomial can be rewritten as follows:

f(x) = x³ − 4x² − 9x + 36

Factors of 36 that can give -9 when combined are -3 and -12-3 + -12 = -15; -3 × -12 = 36

The polynomial can be written as:  x³ − 4x² − 3x − 12x² + 4x + 3

f(x) = (x² − 3)(x − 4)

b) f(x)=−5x3+17x2−16x+4

The polynomial can be rewritten as follows:

f(x) = -x³ + 3x² - 4x - 12

The polynomial can be written as:

f(x) = (-x³ - 3x²) + (3x² + 9x) - (4x + 12)

f(x) = -x²(x + 3) + 3x(x + 3) - 4(x + 3)

f(x) = (x + 3)(-x² + 3x - 4)

Now factor the quadratic:

f(x) = (x + 3)(-x + 1)(x - 4)

c) f(x)=5x4−22x3+33x2−20x+4

First, we check if there's a common factor and if there's any rational root:

Constant terms: ±1, ±2, ±4 ±5, ±10, ±20; ±1/5, ±1/10; ±2/5, ±2/5

Linear terms: ±1, ±2, ±4 ±5, ±10, ±20; ±1/5, ±1/10; ±2/5, ±2/5

Possible rational roots are: ±1, ±2, ±4, ±5, ±10, ±20, ±1/5, ±2/5, ±1/10, ±2/10=±1/5, ±1/2, ±1/20, ±1/10.

For example, let's try the first one:f(1) = 5 - 22 + 33 - 20 + 4 = 0Therefore, (x - 1) is a factor of the polynomial.

Now we can divide it by x - 1 using long division and synthetic division methods:

f(x) = 5x4 − 22x3 + 33x2 − 20x + 4

= (x - 1)(5x³ - 17x² + 16x - 4)

Now we need to find the factors of the cubic term:

Constant terms: ±1, ±2, ±4

Linear terms: ±1, ±2, ±4

Possible rational roots are: ±1, ±2, ±4, ±1/5, ±2/5, ±1/10, ±2/10=±1/5, ±1/2, ±1/10, ±1/5

Let's try the first one: f(1/5) = 5/625 - 22/125 + 33/25 - 20/5 + 4 = 0

Therefore, (5x - 1) is a factor of the cubic polynomial: 5x³ - 17x² + 16x - 4

Now divide it by 5x - 1 using long division and synthetic division methods:

5x³ - 17x² + 16x - 4 = (5x - 1)(x² - 3x + 4)

Now factor the quadratic:

f(x) = 5x4 − 22x3 + 33x2 − 20x + 4

= (x - 1)(5x - 1)(x² - 3x + 4)

Thus, by factoring the given polynomial functions, we can obtain the factorization of the polynomial as the product of simpler polynomials. This helps in the analysis and solution of the polynomial and in finding the roots of the polynomial function.

To know more about the polynomial functions, visit:

brainly.com/question/11298461

#SPJ11

Answer:The height of the roof in his house is 72.43 ft.

Step-by-step explanation:

The volume of square pyramid is :

B= area of the base.

h= the height.

Given that,

The roof is a square pyramid in shape. The volume of the roof is 18929.333 cubic feet.

The side length of the base of the roof is 28 feet.

Since the base of the roof is square in shape.

The area of the square is = side²

The area of the base is =(28×28) square feet

                                      =784  square feet

Assume the height of the roof be h ft.

Then, the volume of the roof is =  

                                                   square feet.

According to the problem,

ft.

The height of the roof in his roof is 72.43 ft.

Step-by-step explanation:

Answer: x = -7

Step-by-step explanation:

Answer:

x=-7

Step-by-step explanation:

-3x-5=16

+5

-3x=21/-3

Answer:

PLEASE ANSWER MY QUESTION! In how many ways 3 different numbers can be chosen from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 such that the sum of 3 numbers can be divisible by 3. Here (a, b, c); (b, c, a)...... are considered to be the same.

Step-by-step explanation:

PLEASE ANSWER MY QUESTION! In how many ways 3 different numbers can be chosen from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 such that the sum of 3 numbers can be divisible by 3. Here (a, b, c); (b, c, a)...... are considered to be the same.

To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.

The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:

I₁ U I₂ = (-2, 2] U [1, 5)

To find the union, we combine the intervals while considering their overlapping points:

I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)

So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).

Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:

I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)

To find the intersection, we consider the overlapping range between the two intervals:

I₁ ∩ I₂ = [1, 2]

Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].


Learn more about intersections here : brainly.com/question/12089275

#SPJ11

Answer:

b)  (x + 12)

Step-by-step explanation:

x² + 10x - 24

factors of 24 are: 1x24, 2x12, 3x8, 4x6

the pair I would select would be 2 and 12 as they could result in 10

(x + 12)(x - 2) = 0

The equation that represents h(x) is h(x) = (f(x))(g(x)).

To determine which equation represents h(x), we need to analyze the given table and understand the relationship between the functions f(x), g(x), and h(x).

Since h(x) represents the output values obtained by multiplying f(x) and g(x), we should look for values in the table where h(x) is the product of the corresponding values of f(x) and g(x).

Let's examine the table and compare the values:

x | f(x) | g(x) | h(x)

1 | 3 | 4 | 12

2 | 5 | 2 | 10

3 | 2 | 6 | 12

From the table, we can see that the values in the h(x) column are the products of the corresponding values in the f(x) and g(x) columns. Therefore, the equation that represents h(x) is h(x) = (f(x))(g(x)).

For more such questions on equation

https://brainly.com/question/17145398

#SPJ8

Answer:

It's B.

Step-by-step explanation:

Edge 2020.

Answer:

Step-by-step explanation:

Solve this system using elimination by addition and subtraction:

Multiplying the second equation by -2 yields the modified system

8x - 2y = -4

-8x + 2y = +4

Adding these together, we get 0 + 0 = 0  (This is always true.)

There are an infinite number of solutions.

Answer:

x = 73/12

Step-by-step explanation:

Given:

\(\displaystyle \large{12(x-7)=-11}\)

Distribute 12 in x-7:

\(\displaystyle \large{12x-84=-11}\)

Add both sides by 84:

\(\displaystyle \large{12x-84+84=-11+84}\\\displaystyle \large{12x=73}\)

Divide both sides by 12:

\(\displaystyle \large{\dfrac{12x}{12}=\dfrac{73}{12}}\\\displaystyle \large{x=\dfrac{73}{12}}\)

Therefore, the solution is x = 73/12

Answer:

\(\large\boxed{\bf\:x = \frac{73}{12} = 6\frac{1}{12} \approx 6.083}\)

Step-by-step explanation:

\(12(x - 7) = -11\)

Multiply 12 by x & 7 (distributive property) in the left hand side of the equation .

\(12(x-7)=-11\\(12*x)-(12*7)=-11\\12x - 84 =-11\)

Bring -84 to the right hand side of the equation. Then,

\(12x = -11 + 84\\12x = 73\\x=\frac{73}{12} \\\\\boxed{\bf\:x = \frac{73}{12} = 6\frac{1}{12} \approx 6.083}\)

\(\rule{150pt}{2pt}\)

c=4 w=4

5c=20

3w=12

5c+3w=32

Answer:93 1/3 yards or 280ft

Step-by-step explanation:Step-by-step explanation: first I converted it all into feet. Giving me L=9ft H=8ft and W= 4ft

Then inserted the values into the formula for surface area SA=2lw+2lh+2hw. Then solved it all out in a calculator

Convert 2.8 kilograms into 2800 grams.

Baby A weighs 2800 grams, baby B weighs 2950 grams -> The difference between the masses = 2950 - 2800 = 150 grams.

1.  The option D) SSRIs, The greatest success in treating major depression has been observed with the use of selective serotonin reuptake inhibitors (SSRIs).

These drugs are a type of antidepressant that work by increasing the levels of serotonin in the brain. SSRIs are considered to be the most effective medication for the treatment of depression, particularly in the long-term.

2.  the option B) delusion of reference ,A belief that an individual is being singled out for attention is known as delusion of reference. Delusions are a common symptom of schizophrenia and other psychotic disorders.

A delusion of reference is characterized by the belief that everyday events or objects have a special meaning that is directed specifically towards the individual. For example, an individual with this delusion may believe that the radio is broadcasting a message meant for them or that strangers on the street are staring at them because they are part of a conspiracy.

To know more about depression visit:-

https://brainly.com/question/33354980

#SPJ11

By definition of cubic roots and power properties, we conclude that the domain of the cubic root function is the set of all real numbers.

The domain of the function is the set of all values of x such that the function exists.

In this problem we find a cubic root function, whose domain comprise the set of all real numbers based on the properties of power with negative bases, which shows that a power up to an odd exponent always brings out a negative result.

The statement is poorly formatted. Correct form is shown below:

¿What is the domain of the function \(y = \sqrt[3]{x - 1}\)?

To learn more on domain and range of functions: https://brainly.com/question/28135761

#SPJ1

The only numbers you can plug into a logarithm are positive numbers not equal to 1. Negative numbers, and the number 0, aren’t acceptable arguments to plug into a logarithm, but why?

The reason has more to do with the base of the logarithm than with the argument of the logarithm. To understand why, we have to understand that logarithms are actually exponents. The base of a logarithm is also the base of a power function.

When you have a power function with base 0, the result of that power function is always going to be 0. In other words, there’s no exponent you can put on 0 that won’t give you back a value of 0. Or, put a different way, 0 raised to anything is always still 0. In the same way, 1 raised to anything is always still 1.

If you raise a negative number to a positive number that’s not an integer, but instead a fraction or a decimal, you might end up with a negative number underneath a square root. And as you know, unless we’re getting into imaginary numbers, we can’t deal with a negative number underneath a square root.

So 0, 1, and every negative number presents a potential problem as the base of a power function. And if those numbers can’t reliably be the base of a power function, then they also can’t reliably be the base of a logarithm.

For that reason, we only allow positive numbers other than 1 as the base of the logarithm. Then what we know is that, if the base of our power function is positive, it doesn’t matter what exponent we put on that base (it could be a positive number, a negative number, of 0), that power function is going to come out as a positive number.

So in summary, because the base can only be a positive number, that means the argument of the logarithm can only be a positive number. Which means that in order to protect our bases, we have to only allow positive arguments inside the logarithm.

Hope this helps!

No ,it is  not possible for a logarithm to equal a negative number.

A logarithmic is the power to which a number must be raised in order to get some other number.

For example, the logarithm base b of a number n is the number x that when b is raised to \(x^{th}\) power, the resulting value in n i.e.

\(log_{b}n = x\)  ⇔ \(b^{x} =n\)

No, it is possible for a logarithm to equal a negative number because  logarithm function \(log_{a}(b) = n\) is the inverse of the exponent function \(a^{n} =b\) where the base a>0. Since, the base a raised to any exponent n is positive, the number b must be positive.

The logarithm of a negative number b is undefined.  

Hence, it is not possible for a logarithm to equal a negative number.  

Learn more about logarithm here:  

https://brainly.com/question/3181916

#SPJ2

Answer:

i think its 230cm but i could be wrong let me know

Step-by-step explanation:

Step 3 is incorrect because it states that if all the sides of two figures are proportional then those two figures are similar.

Step 6 is incorrect because it states that if needed, we should reflect A B C D over segment WX. This is incorrect because reflection is not required to prove two figures are similar.

A segment is part of a market that is specifically targeted for a product or service. It is defined by characteristics such as demographics, geography, buying behavior, and interests. Segmentation helps companies to identify their target market and direct their marketing activities accordingly.

We can prove two figures are similar using a sequence of transformations that includes translations, rotations, and dilations, but not reflections. Reflection may be used to help visualize similar figures, but it is not necessary to prove that they are similar.

from the question:

Step 3 is erroneous since it implies that two figures are identical if all of their sides are proportionate. This isn't always the case because two figures can resemble one another without having sides that are proportional. When two figures of the same shape, such as two squares or two circles, proportional sides can only ensure that the two figures are identical.

Step 6 is erroneous because it instructs us to reflect A, B, C, and D over segment WX if necessary. This is false since the similarity between two figures can be established without thought. Using a series of transformations that includes translations, rotations, and dilations but not reflections, we may demonstrate the similarity of the two figures. Reflection may be employed to aid in seeing related figures, but it is not required to establish their similarity.

to learn more about segment visit:

https://brainly.com/question/23580893

#SPJ9

Answer:

A.

Step-by-step explanation:

x-1 moves the graph to the right 1 and + 8 moves it up 8

this puts the vertex at (1,8) and the negative infront  of the x makes the graph point down like it is.

The function represented by the graph is : f(x)=-|x-1|+8

The correct option is (A).

A graph is a mathematical diagram which shows the relationship between two or more sets of numbers or measurements.

If we look at the graph, only the portion x-1 makes to move the graph to the right 1 and moves it up 8 which makes the coordinate (1,8).

Also, the negative at the front of x makes graph to move downwards.

Hence, the graph represented the function : f(x)=-|x-1|+8

learn more about graph here:

https://brainly.com/question/16608196

#SPJ2