A car is traveling 10 miles per hour during rush hour. How far does the car travel in 5 minutes

Answer:

6.7

Step-by-step explanation:

Answer:

6.4 is the correct answer.

Step-by-step explanation:

Answer:

the probability of getting the exact coins that make $0.15 is 33.3% (1/3)

Step-by-step explanation:

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

2020 -2010 = 10 YEARS

375,000 X .09 = 33,750                  2011 VALUE  33750 + 375000 = 408,750

408750 X .09 = 36787.50               2012 VALUE  445537.50

445537.50 X .09 = 40,098.38         2013 VALUE  485635.88

485635.88 X .09 = 43707.23           2014 VALUE  529343.11

529343.11 X .09 = 47640.88            2015 VALUE  576983.99

576989.99 X .09 = 51928.56          2016 VALUE  628918.55

628918.55 X .09 = 56602.67          2017 VALUE 685521.22

685521.22 X .09 = 61696.91           2018 VALUE  747218.13

747218.13 X .09 = 67249.63           2019 VALUE 814467.76

814467.76 X .09 = 73,302.10          2020 VALUE $887,769.86

                                                   Rounded to the nearest dollar: $887,770.00

Answer:

Option C is correct.

[tex]y = 0.9673x^2-0.8475x + 10.4334[/tex] is an quadratic model equation for the data set

Step-by-step explanation:

To find the equation of the quadratic model for the given data set:

x               y

4              20

10             86

13            174

17             274

8              72

12             135

6               44

Therefore, the quadratic model for the given data is given by;

[tex]y = 0.9673x^2-0.8475x + 10.4334[/tex]

The domain is the set of all numbers. The range is also the set of all real numbers.

Why is this the case? Because the line extends forever in both directions along the x and y axis. We can plug in any x value and solve for y, or vice versa, and we don't have any restrictions for the input or output.

-----------------------

To write "the set of all real numbers" in interval notation, you would write [tex](-\infty, \infty)[/tex]

This is the interval from negative infinity to positive infinity, spanning the entire real number line.

Answer:

S∞ = 7       Option C

Step-by-step explanation:

Given that:

∑21[tex](\frac{1}{4} )^{i}[/tex]     i = 1 to ∞

We need to find the sum.

Firstly we will find the sequence

a₁ = [tex]21(\frac{1}{4} )^{1}  = (\frac{21}{4} )[/tex]

a₂ = [tex]21(\frac{1}{4} )^{2}  = (\frac{21}{16} )[/tex]

a₃ = [tex]21(\frac{1}{4} )^{3}  = (\frac{21}{64} )[/tex]

a₄ = [tex]21(\frac{1}{4} )^{4}  = (\frac{21}{256} )[/tex]

this sequence is geometric

So, we use sum of infinite terms

a = [tex]\frac{21}{4}[/tex]

r = [tex]\frac{\frac{21}{16} }{\frac{21}{4} }  = \frac{1}{4}[/tex]

The sum of infinite terms of a GP series

S∞ = [tex]\frac{a}{1-r}[/tex]

where a is first term

r is common ratio and 0<r<1

S∞ = [tex]\frac{\frac{21}{4} }{1 - \frac{1}{4} }  = \frac{\frac{21}{4} }{\frac{3}{4} }[/tex]

S∞ = 7

Answer:

changing by one

Step-by-step explanation:

Answer:

0.65

Step-by-step explanation:

0.6 is short for 0.60

0.7 is short for o.7

0.61,0.62,063,0.64,0.65,0.66,0.67,0.68,0.69,0.70

0.65 is in the middle

Answer: The answer is 0.65

Step-by-step explanation:

You can factor out the 4 and you would get....

[tex]4(2b-1)[/tex]

let's find its first derivative for "y"

[tex]\bf y=x^3-3x^2+5x-1\implies \cfrac{dy}{dx}=3x^2-6x+5[/tex]

now, we can run the quadratic formula on that derivative, and it turns out we end up with a negative radicand and therefore an imaginary/complex solution, which is a way to say there are no solutions for it, so the quadratic never touches the x-axis.

so hmmm what is the smallest value it goes down to, for the derivative, before it goes right back up?

well, for that we can simply check her vertex location.

[tex]\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ \cfrac{dy}{dx}=\stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{-6}x\stackrel{\stackrel{c}{\downarrow }}{+5} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left( -\cfrac{(-6)}{2(3)}~~,~~5-\cfrac{(-6)^2}{4(3)} \right)\implies \left( 1~~,5-\cfrac{36}{12} \right) \\\\\\ (1~,~5-3)\implies (\stackrel{x}{1}~,~\stackrel{y}{2})[/tex]

so, "y" or dy/dx goes as low as 2 before going back up, and that happens when x = 1.

Check the picture below.

Step-by-step explanation:

We need to find minimum slope for y = x³ -3x² +5x -1

Slope is derivative of y

                [tex]\texttt{Slope,}\frac{dy}{dx}=3x^2-6x+5[/tex]

Now we need to find minimum of 3x² -6x +5

At minimum derivative of  3x² -6x +5 is zero

That is

                6x - 6 = 0

                  x = 1

So the slope is minimum at x = 1

At x = 1,

           Slope = 3 x 1² -6 x 1 +5 = 2

Minimum slope possible for x³ -3x² +5x -1 is 2

Answer:x=4 and y=4

Step-by-step explanation: if you divide 9 by 3 it would be 3 and 6 divided by 3 would be 2 so if you multiply 2 by 4 and 3 by 4 and you add them together it will equal 20

Answer: [tex]3x+2y=20[/tex]

Step-by-step explanation:

Let  x be  the number of boxes of crackers and y be the number of boxes of granola bars that Mr. Logan bought at the grocery store.

Given : The price of the crackers is $9 for 3 boxes, and the price of the granola bars is $6 for 3 boxes.

i.e. price of one box of crackers = $9 ÷3 = $3

Price of one box of granola bars=$6÷3 = $2

Mr. Logan ends up buying $20 worth of crackers and granola bars.

i.e.  (Cost of each box of crackers) x + (Cost of each box of granola bars) y

i.e. [tex]3x+2y=20[/tex]

Hence, the equation represents the relationship between the number of boxes of crackers, x, and the number of boxes of granola bars, y, that Mr. Logan bought at the grocery store :

[tex]3x+2y=20[/tex]

Answer:

Distributive Property

Step-by-step explanation:

Note that in the question,  2(6 + 4) we can solve it in two ways.

First way is to solve using PEMDAS, which is to solve the parenthesis first, and then the addition. However, this time, we see that the next step is 2(6) + 2(4), which suggests distributive property, which states that the multiplying number on the outside of the parenthesis is distributed to all terms within the parenthesis.

~

Answer:

Step-by-step explanation:

helloooooo heres the answer...X=8/5

you get this by moving your Y variable to the left by adding its opposite (-8y) to both sides.

then you should be left with -5x=-8y when in this step divide both steps by -5, which will get you 8/5 hence the answer X=8/5

Answer:

Sajini = 200

Drea = 225

Step-by-step explanation:

d = amount Drea earned

s = amount Sajini earned

Together they earned 425

d+s =425

d = s+25

The system of equations

d+s =425

d = s+25

I will use substitution to solve

Substitute d= s+25 into the first equation

d+s =425

(s+25) + s = 425

Combine like terms

2s+25 =425

Subtract 25 from each side

2s+25-25 =425-25

2s = 400

Divide by 2

2s/2 =400/2

s =200

Sajini = 200

Now we need to find d

d = s+25

d = 200 + 25

d = 225

Drea = 225

Answer:

Drea: $225

Sajini: $200

Step-by-step explanation:

D + S = 425

D = S + 25

S + 25 + S = 425

2S = 400

S = 200

D = 200 + 25 = 225

Answer:

12

Step-by-step explanation:

Change the percentage into a decimal

30% = 30/100 = 0.30

Multiply 40 with 0.30

40 x 0.30 = 12

12 more people adopted, making 52 in all.

~

Answer:

52

Step-by-step explanation:

30% more means the original 100% plus 30% more of the original 40

That's 130% = 130/100 = 1.3

"of" means x, so it's 40 x 1.3 = 52 people

Answer:

it took tamara an 1:49 in total

the difference was 41 minutes

Step-by-step explanation:

Answer:

41 minutes

Step-by-step explanation:

75 minutes minus 34 minutes equal 41 minutes

Answer:

[tex]y-6=5(x-1)[/tex]

Step-by-step explanation:

To make the line parallel, it has to have the same slope as the other. Because it is in slope-intercept form, we can see that the slope of the line is 5.

Now we have all of the numbers we need for point-slope form. The point-slope form looks like this:

[tex]y-y_{1}=m(x-x_{1})[/tex]

So when we input our values for the variables, the equation is:

[tex]y-6=5(x-1)[/tex]

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (relevant later)

Point-slope form:

y - y₁ = m(x - x₁)        "m" is the slope

For lines to be parallel, their slopes have to be the SAME

The given line's slope is 5, so the parallel line's slope is also 5.

So you know:

m = 5

(x₁ , y₁) = (1 , 6)

Now you can plug this in:

y - y₁ = m(x - x₁)  

y - 6 = 5(x - 1)

Answer: No

Step-by-step explanation:

A right angle is exactly 90°

To determine if 50, 48, 14 form a right angle, we need to check if the sum of the squares of the two smaller numbers is equal to the square of the largest number. The sum of 48^2 and 14^2 is equal to 50^2, so 50, 48, 14 form a right angle.

To determine if 50, 48, 14 form a right angle, we need to check if the sum of the squares of the two smaller numbers is equal to the square of the largest number.

The largest number is 50. So, we need to check if 48^2 + 14^2 = 50^2.

48^2 equals 2304 and 14^2 equals 196. The sum of these two numbers is 2500, which is equal to 50^2. Therefore, 50, 48, 14 form a right angle.

Answer:

Scatter plots resembles line graphs in that they are plotted on the x and y axis. The are used because they show how much one variable is affected by another.

Scatter diagrams are important since in statistics they can show the extent of correlation, if any, between the values of observed quantities or a behavior.

Answer:

A scatter plot is defined as a diagram which uses Cartesian coordinates to display values about two variables, one indepedent, the other one dependent.

This diagrams are used in statistics to display information about surveys to a certain sample in a population. The purpose of a scatter plot is to shows if the variables are related, that is, if they have any type of linear correlation between them. If they have linear correlation, then the data is represented by a line.

Now, in this case, the independent variable is time in minutes and the dependent variable is texting. Basically, with this data, the company will be able to stablish the relation between words written in a certain time, that is, the speed of texting actually.

With a scatter plot, they would find the relation that forms the speed of texting. It could be "the more time, more text is written", or "the less time, more text is written".

If we need to establish a possible relation, the most logical would be "the more time, more word are texted".

Answer:

The area is 1/2×3×3= 4.5

Step-by-step explanation:

Answer:

(21,5)

Step-by-step explanation:

To find the slope that passes through the points (7,5) and (21,15) , we use the formula

m = (y2-y1)/ (x2-x1)

   = (15-5)/(21-7)

   = 10/14

  =5/7

We want a slope that is 1/3 this slope so we will multiply by 1/3

5/7 * 1/3= 5/21

We know the slope and one point (0,0)  we can use the same formula to figure out x and y

m = (y2-y1)/ (x2-x1)

5/21 = (y2-0)/ (x2-0)

Let the tops be equal and the bottoms be equal

5 = y2-0

5 =y2

and the bottoms

21 = x2-0

21= x2

We have the point

(21,5)

Answer:

here you go

View the picture for your answer!

have a wonderful day :))

The number of solutions exist for the given equation (x + 12) = 4x – 1

is one.

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

We are given that;

The equation=(x + 12) = 4x – 1

Now,

We can simplify the given equation as follows:

x + 12 = 4x - 1

Adding 1 to both sides:

x + 13 = 4x

Subtracting x from both sides:

13 = 3x

Dividing both sides by 3:

x = 13/3

Therefore, by solving equation answer will be one.

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Answer:

a/b =6

Step-by-step explanation:

We want to evaluate a/b

a=24, b=4

Substitute these values into the expression

a/b =24/4

    = 6

Final answer:

When evaluating the expression a/b with a=24 and b=4, the result is 6, as you simply divide 24 by 4.

Explanation:

The expression to evaluate is a/b, where a=24 and b=4.

To calculate this, simply divide the value of a by the value of b:

Step-by-step calculation:

Insert the known values into the expression: a/b = 24/4.

Divide 24 by 4 to get the result.

24 divided by 4 equals 6.

Therefore, if a=24 and b=4, the value of a/b is 6.

2025 - 2014 = 11

11 * 12 = 132

132% of $24,000 = $31680

I think this is right but I don't sure... sorry

Answer:

Your answer is √261.

Step-by-step explanation:

Width of computer screen in inches is 16.15 inches

Given that;

Diagonal length of computer screen = 19 inches

Height of computer screen = 10 inches

Find:

Width of computer screen in inches

Computation:

Using Pythagorean theorem

Base = √Diagonal length² - Height²

Width of computer screen in inches = √19² - 10²

Width of computer screen in inches = √361 - 100

Width of computer screen in inches = √261

Width of computer screen in inches = 16.15 inches (Approx.)

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Answer:

Step-by-step explanation: The correct answer is 18 boys.

First of all, we know that there is a ratio of 4 girls to three boys or 4:3.

Next we know that there are 24 girls so what we have to do is figure out which number 4 was multiplied by to get 24.

4 times 6 is 24 so since we know that four was multiplied by 6, we can now multiply 3 by 6 to keep the same ratio of girls to boys.

The question is about finding the number of boys in a class when the ratio of girls to boys is given and the number of girls is known. Set up a proportion and solve the equation to find that there are 18 boys in the 6th grade class.

This is a Mathematics problem on ratios. In this problem, the ratio of girls to boys is given as 4:3. This means for every 4 girls, there are 3 boys. If there are 24 girls, we can find the number of boys by setting up a proportion. Like this:

4 (girls) / 3 (boys) = 24 (girls) / x (boys)

Solve for x by cross multiplying: (4 * x) = (3 * 24) which simplifies to: 4x = 72. Solve for x by dividing both sides of the equation by 4 resulting in: x = 18. Hence, there are 18 boys in the 6th grade classes.

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Method 1:

[tex]F(1)=4\\\\F(n)=F(n-1)+7\\\\n\in\{2,\ 3,\ 4,\ 5,\ ...\}\\\\F(2)=F(1)+7\to F(2)=4+7=11\\\\F(3)=F(2)+7\to F(3)=11+7=18\\\\F(4)=F(3)+7\to F(4)=18+7=25\\\\F(5)=F(4)+7\to F(5)=25+7=32\\\\F(6)=F(5)+7\to F(6)=32+7=39\\\\F(7)=F(6)+7\to F(7)=39+7=46\\\\F(8)=F(7)+7\to F(8)=46+7=53[/tex]

Method 2:

The general formula of an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

We have:

[tex]a_1=F(1)=4,\ d=7[/tex]

Substitute:

[tex]a_n=4+(n-1)(7)=4+7n-7=7n-3[/tex]

Put n = 8 to the formula:

[tex]a_8=7(8)-3=56-3=53[/tex]

Final answer:

A line is parallel to y=3/4x-3 if it has the same slope of 3/4.

Explanation:

A line is parallel to y = \frac{3}{4}x - 3 if it has the same slope as the given line.

The slope of y = \frac{3}{4}x - 3 is \frac{3}{4}. So, any line with a slope of \frac{3}{4} is parallel to it.

For example, a line with the equation y = \frac{3}{4}x + 2 is parallel to y = \frac{3}{4}x - 3 because they both have the same slope, \frac{3}{4}.

[tex]n,\ n+1-\text{ two consecutive whole numbers}\\57-\text{the sum}\\\\n+n+1=57\qquad\text{subtract 1 from both sides}\\2n=56\qquad\text{divide both sides by 2}\\n=28\\\\n+1=28+1=29\\\\Answer:\ \boxed{\text{The greater of the two numbers is 29}}[/tex]

The two consecutive whole numbers that sum to 57 are 28 and 29. The solution was achieved by setting up an equation and solving for x which represents the smaller number. The greater number is 29.

The sum of two consecutive whole numbers is 57 pertains to a simple arithmetic problem. If two consecutive numbers sum to 57, we can set up an equation to solve for the numbers. Let's call the smaller number 'x'. This means the next number would be 'x + 1' since it's consecutive, or next in line. The equation for your problem would then be x + (x + 1) = 57. Simplifying the equation gives us 2x + 1 = 57, and then subtracts 1 from both sides to get 2x = 56.

The last step is to divide both sides by 2, which gives us: x = 28. So, the smaller number is 28 and the greater number is 29.

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