The winning car in a race beat the second car by 19 ··· 100 of a second. The third car was ·4· 10 of a second behind the second car. By how much did the first car beat the third car?

Hi there!

Answer:

[tex]\huge\boxed{x = 5}[/tex]

4x + 5 = 25

Subtract 5 from both sides:

4x + 5 - 5 = 25 - 5

4x = 20

Divide both sides by 4:

4x/4 = 20/4

x = 5.

Answer:

No

Step-by-step explanation:

What we have to do is find how much everything costs.

After we do that, we can compare that total cost with the amount she has to determine if she can afford everything.

Let's set up an expression to see how much everything costs.

2 Movie tickets: 7.25+7.25

Drink and Popcorn: 5.75

Total: 7.25+7.25+5.75

14.5+5.75

20.25

20.25>20

Therefore, they would not have enough money to purchase 2 tickets and drinks+popcorn.

Answer:

[tex] \frac{ {tan}^{2} x}{2} + \ln( |cos \: x| ) + C[/tex]

Step-by-step explanation:

[tex] \int {tan}^{3} x \: dx[/tex]

[tex]\int \: tan \: x \times {tan}^{2} x \: dx[/tex]

[tex]\int \: tan \: x( {sec}^{2} x - 1) \: dx[/tex]

distribute

[tex]\int \: tan \: x \: {sec}^{2} x - tan \: x \: dx[/tex]

[tex]\int \: tan \: x \: {sec}^{2} x \: dx \: - \int \: tan \: x \: dx[/tex]

[tex]\int \: tan \: x \: {sec}^{2} x \: dx \: - \int \frac{sin \: x}{cos \: x} \: dx[/tex]

First integrand

let tan x = u

du = sec²x dx

Second integrand

let cos x = z

dz = -sin x dx

[tex] = \int u \: du \: - \int - \frac{1}{z} dz[/tex]

[tex] = \frac{ {u}^{2} }{2} + \ln( |z| ) + C[/tex]

[tex] = \color{red}{ \boxed{ \frac{ {tan}^{2} x}{2} + \ln( |cos \: x| ) + C}}[/tex]

Answer:

[tex]\huge \boxed{x=7}[/tex]

Step-by-step explanation:

3x + 4 = 25

Subtract 4 from both sides.

3x + 4 - 4 =  25 - 4

3x = 21

Divide both sides by 3.

(3x)/3 = 21/3

x = 7

Answer:

The answer is

Step-by-step explanation:

To find the inverse of f(x) equate f(x) to y

That's

y = f(x)

y = x - 2

Next interchange the terms.

That's x becomes y and y becomes x

We have

x = y - 2

Make y the subject

Send 2 to the left side of the equation

y = x + 2

We have the final answer as

Hope this helps you

Answer:

[tex]\huge\boxed{Answer=>44}[/tex]

Steps:

If you do the steps correctly, the answer should be 44 ice cream scoops.

(Short way to do this problem/question)

Information given:

1. He uses 1/16 of the bottle of syrup(Every scoop of icecream he eats)

2. The question wants us to find, if he had ate 2 3/4 bottle of chocolate syrup.. how many scoops did he eat.

The steps are::::

1/16 = 16 (scoops of icecream)

Now, if we do 16 times 2 3/4 we would get...

44.

Hence, the answer is 44 scoops of icecream.

Answer:

1.) -1

2.) 5.6

3.) -1

4.) 12

Answer:

  532

Step-by-step explanation:

  532 = 2·2·7·19

__

There are 24 possible 3-digit numbers from the set {2, 3, 5, 7}. Of those, 6 have four factors: 372, 375, 532, 572, 732, 735.

The sums of factors of these numbers are ...

  38, 18, 30, 28, 68, 22

The number of interest is 532.

Answer:

3 Years old

Step-by-step explanation:

Let Jake be x

Let Jenny be y

x-5=5(y-5)

x+4=2(y+4)

x+4=2y+8

x-5=5y-25

x=5y-20

5y-16=2y+8

3y=24

y=3

Answer:

15%=0.15

1÷7=0.14

1÷5=0.2

1÷4=0.25

1÷3=0.33

Step-by-step explanation:

1/7

Answer:

1/7

Step-by-step explanation:

1/7 × 100 = 14.28%

1/5 × 100 = 20%

1/4 × 100 = 25%

1/3 × 100 = 33.33%

→ We can that 14.28% is the closest to 15% so 1/7 is the answer

Answer:

5a = 10a -6

Step-by-step explanation:

let the number be a.

so five times will be = 5a.....1)

and 6 less than 10times = 10a - 6......2)

since these numbers are same..

from 1) and 2)

5a = 10a -6

we can further simplify it ..

HOPE IT HELP...

Answer:

  12, 19, 26

Step-by-step explanation:

Each new term in the sequence is found by subtracting 7 from the previous term. So, each previous term can be found by adding 7 to the one you have.

The three previous terms (working backward) are ...

  5+7 = 12

  12+7 = 19

  19+7 = 26

Answer:

Approximately 45,455 total employees.

Step-by-step explanation:

So the company has 13,500 employees in one country. And this represents 29.7% of the company's employees.

In other words:

[tex]\frac{13,500}{\text{Total}}=0.297[/tex]

The left represents the number of employees in one country over the total number.

And the right is the decimal form of 29.7%. Simply move the decimal two places to the left and remove the percent symbol.

So, to solve for the total, multiply both sides by it first. The left side cancels:

[tex]\text{Total}(\frac{13500}{\text{Total}} )=\text{Total}(0.297)\\13500=\text{Total}(0.297)[/tex]

Now, divide both sides by 0.297. The right side cancels:

[tex]\text{Total}=\frac{13500}{0.297}[/tex]

Use a calculator.

[tex]\text{Total}\approx45454.5455[/tex]

So, there is approximately 45,455 total employees.

Answer:

[tex]\Large \boxed{\mathrm{45455 \ employees }}[/tex]

Step-by-step explanation:

29.7% of the company’s employees is 13,500.

Let the number of the company’s employees be x.

[tex]29.7\% \cdot x = 13500[/tex]

[tex]0.297x=13500[/tex]

Dividing both sides by 0.297.

[tex]x= 45454.5454545...[/tex]

There are 45455 employees in total (rounded to nearest whole number).

Answer: Population parameter

Step-by-step explanation: The parameter can be defined as a numerical value used to describe an entire population. The population describes all the entire values or members belonging to a particular group. Hence, numerical values which are used to explain the characteristic of the population is called the population parameter. Sample statistics on the other hand are numerical values associated statistical properties of a sample which is a subset of a certain population.

In the instance given above, 43% represents the population parameter which describes the percentage number of Democratic voters out of the entire population of voters in the city.

[tex]x^3=\boxed{x}\cdot x^2[/tex], and

[tex]\boxed{x}(x^2+2x+1)=x^3+2x^2+x[/tex]

Subtract this from [tex]x^3[/tex] to get a remainder of

[tex]x^3-(x^3+2x^2+x)=-2x^2-x[/tex]

[tex]-2x^2=\boxed{-2}\cdot x^2[/tex], and

[tex]\boxed{-2}(x^2+2x+1)=-2x^2-4x-2[/tex]

Subtract this from the previous remainder to get a new remainder of

[tex](-2x^2-x)-(-2x^2-4x-2)=3x+2[/tex]

[tex]3x[/tex] does not divide [tex]x^2[/tex], so we stop here.

What we've done is to write

[tex]\dfrac{x^3}{x^2+2x+1}=x-\dfrac{2x^2+x}{x^2+2x+1}[/tex]

then

[tex]\dfrac{x^3}{x^2+2x+1}=x-2+\dfrac{3x+2}{x^2+2x+1}[/tex]

and we stop here because the remainder term [tex](3x+2)[/tex] has a degree less than the degree of the denominator.

Alternatively, we can be a bit tricky and notice that

[tex]x^2+2x+1=(x+1)^2[/tex]

Now,

[tex](x+1)^3=x^3+3x^2+3x+1[/tex]

so that

[tex]\dfrac{x^3}{(x+1)^2}=\dfrac{(x+1)^3-(3x^2+3x+1)}{(x+1)^2}[/tex]

We can divide the first term by [tex](x+1)^2[/tex] easily to get

[tex]\dfrac{x^3}{(x+1)^2}=x+1-\dfrac{3x^2+3x+1}{(x+1)^2}[/tex]

Next,

[tex](x+1)^2=x^2+2x+1[/tex]

so that

[tex]\dfrac{x^3}{(x+1)^2}=x+1-\dfrac{3((x+1)^2-(2x+1))}{(x+1)^2}-\dfrac{3x+1}{(x+1)^2}[/tex]

[tex]\dfrac{x^3}{(x+1)^2}=x+1-3+\dfrac{6x+3}{(x+1)^2}-\dfrac{3x+1}{(x+1)^2}[/tex]

[tex]\dfrac{x^3}{(x+1)^2}=x-2+\dfrac{3x+2}{(x+1)^2}[/tex]

which is the same result as before.

Answer:

False

Step-by-step explanation:

Step 1: Write out equation

-12 + n = -15

Step 2: Add 12 on both sides

n = -3

So our answer is -3 and not 3.

Answer: [tex]False[/tex]

The answer to this problem is [tex]n=-3[/tex]

To get -3 here is the work shown

Simplify both sides of the equation

[tex]n-12=-15[/tex]

Add 12 to both sides

[tex]n-12+12=-15+12\\n=-3[/tex]

Answer:

205°

T(t) = 65°+20°t

Step-by-step explanation:

Let the temperature be T and time be t

The equation to determine the temperature T after t minutes is:

For t = 7 we get:

Answer:  The fraction [tex]\frac{7}{17}[/tex]

This can be written as 7/17 if you are using a computer keyboard.

====================================================

Explanation:

The two negatives next to each other basically cancel each other out to form a positive or a plus sign

We have

[tex]-\frac{9}{85} - \left(-\frac{44}{85}\right)[/tex]

turn into

[tex]-\frac{9}{85} +\frac{44}{85}[/tex]

From here, we add the fractions. To do this, we add the numerators and place the sum over the common denominator 85. This is only possible since both denominators are the same number.

[tex]-\frac{9}{85} +\frac{44}{85} = \frac{-9+44}{85} = \frac{35}{85}[/tex]

The last thing to do is to reduce this fraction as much as possible.

We see that 35 and 85 have 5 as a common factor. Divide each number by 5 to get...

Therefore, [tex]\frac{35}{85} = \frac{7}{17}[/tex]

So overall,

[tex]-\frac{9}{85} - \left(-\frac{44}{85}\right) = \frac{7}{17}[/tex]

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

That's

Slope of the through points

(15, -6) and (-3, 13) is

Since the lines are parallel their slope are also the same

So slope of parallel line = - 19/18

Equation of the line using point (4,2) and slope -19/18 is

We have the final answer as

Hope this helps you

Answer:y=-1.583x-8.332

Step-by-step explanation:

First find slope from two points (-6-13)/(15+3)=-1.583

Now line is parallel so the slope would be same for the other line passing through (4,2) now as the general equation of line is

y=mx+c

2=-1.583(4)+c

Solving for c equals to -8.332

So final equation is

y=1.583x-8.332

Answer:

[tex]5 \sqrt{6y} [/tex]

Step-by-step explanation:

75×2y =150y

[tex] \sqrt{150y} = 5 \sqrt{6y} [/tex]

Answer:

mean 4.86

MAD = 1.91

Step-by-step explanation:

The required week that had greater variability in high temperature is week 2.

Given that,
The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius.
The second week had a mean high temperature of 4.86 degrees Celsius and a mean absolute deviation (MAD) of 1.91 degrees Celsius.

Statistics is the study of mathematics that deals with relations between comprehensive data.

Here,
The system of observation that has a higher mean absolute deviation, will have the chance of greater variability in high temperature. So,
mean absolute deviation of week 1 = 1
mean absolute deviation of week 2 = 1.91
MAD of week  2 > MAD of week 1

Thus, the required week that had greater variability in high temperature is week 2.

Learn more about Statistics here:
https://brainly.com/question/23091366

#SPJ2

Answer:

5

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

95/19 = 5

To verify take the third term and divide by the second term

475/95 = 5

The common ratio is 5

Answer:

The answer is D. Length = 9, width = 6cm

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

we have,

y-y1=m(x-x1)

or, y+8=4/3(x-3)

or, 3y+24=4x-12

or, 4x +3y+36=0 is the required equation

Answer:4/3x–12.

Step-by-step explanation: I just did this on khan and got it wrong but I used hints to get the answer, so here you go.

Answer:

M(7,9)

Step-by-step explanation:

M(3+11/2, 6+12/2)

M(14/2, 18/2)

=M(7,9)

Answer:

(7,9)

The explanation is on the photo.

Hope it helps!

#MissionExam001

Answer:

Zeroes : 1, 4 and -5.

Potential roots: [tex]\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20[/tex].

Step-by-step explanation:

The given equation is

[tex]x^3-21x=-20[/tex]

It can be written as

[tex]x^3+0x^2-21x+20=0[/tex]

Splitting the middle terms, we get

[tex]x^3-x^2+x^2-x-20x+20=0[/tex]

[tex]x^2(x-1)+x(x-1)-20(x-1)=0[/tex]

[tex](x-1)(x^2+x-20)=0[/tex]

Splitting the middle terms, we get

[tex](x-1)(x^2+5x-4x-20)=0[/tex]

[tex](x-1)(x(x+5)-4(x+5))=0[/tex]

[tex](x-1)(x+5)(x-4)=0[/tex]

Using zero product property, we get

[tex]x-1=0\Rightarrow x=1[/tex]

[tex]x-4=0\Rightarrow x=4[/tex]

[tex]x+5=0\Rightarrow x=-5[/tex]

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

[tex]x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}[/tex]

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are [tex]\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20[/tex].

Answer: Hey There!!

The answer to this is Step 2: Distributive Property: a(b + 3) = ab + ac

Isaac's Steps are outlined below:

Step 1: (4.2) (-54) = (-54) (4.2)

Step 2: = (-5.4) (4) + (-5.4) (0.2)

Step 3: = (-21.6) + (-1.08)

Step 4: = 22.68

We observe that in Step 2:

(-5.4) (4.2) = (-5.4) (4 × 0.2) = (-5.4) (4) + (-5.4) (0.2)

Therefore, Isaac applied the distributive property in Step 2.

Hope It Helped!~ ♡

ItsNobody~ ☆

Answer:

Step 2: Distributive Property:  

= (-5.4)(4) + (-5.4)(0.2)

hope this helped, here is a hug

༼ つ ◕_◕ ༽つ

Answer:

2

Step-by-step explanation:

Hey there!

Well the x intercept is the point the line touches the x-axis.

And to find it we need to graph the given equation.

7x - 2y = 14​

Look at the image below ↓

By looking at the given image we can tell that the x-intercept is 2.

Hope this helps :)

Answer:

The solution to the given inequality is a > 8.

Step-by-step explanation:

For this problem, we have to solve for the inequality.

9a - 24 > 48

add 24 on both sides of the inequality.

9a > 72

Divide 9 on both sides of the inequality.

a > 8

So, your solution would be a > 8.

Answer:

a > 8

Step-by-step explanation:

To solve this inequality, we have to get the variable, a, by itself on one side of the equation

[tex]9a -24 > 48[/tex]

24 is being subtracted from 9a. The inverse of subtraction is addition. Add 24 to both sides of the equation.

[tex]9a-24+24 > 48+24[/tex]

[tex]9a > 48 +24[/tex]

[tex]9a > 72[/tex]

a is being multiplied by 9. The inverse of multiplication is division. Divide both sides of the equation by 9.

[tex]9a/9 > 72/9[/tex]

[tex]a > 72/9[/tex]

[tex]a > 8[/tex]

The solution to this inequality is a > 8