if it took 10 seconds to text, and you were going 60mph how many feet would you go in those amount of seconds? And if that is solved, how many feet would you go in 5 seconds when 35 mph, 3 seconds when 55 mph and 2 seconds when 20 mph?​

Answer:

You will be able to spend your money for a total of 16 days.

Step-by-step explanation:

Total money won: $48

Since you are starting off with $48, divide the amount of money you will be using each day. 48 divided by 3 is equal to 16.

The simplified expressions `[(8x+7)^(17/6)]/[(8x+7)^(5/3)]` and `(8x+7)^(-11/6)` for the expressions `(8x+7)^(5/2)/(8x+7)^(-5/3)` and `(8x+7)^(-5/2) (8x+7)^(2/3)` respectively.

To simplify the given expression, we use the following rules of exponents;
Product rule; `(a^n)(a^m) = a^(n+m)`
Quotient rule; `a^n/a^m = a^(n-m)`.Given `(8x+7)^(5/2) / (8x+7)^(-5/3)`.Using the product rule; `8x+7 = (8x+7)^(1)`(8x+7)^(5/2+1)` when multiplied `5/2 + 1`
`= (8x+7)^(12/6+5/2)` when multiplied `12/6 + 5/2`
`= (8x+7)^(17/6)`
Using the quotient rule, `(8x+7)^(-5/3) = 1 / (8x+7)^(5/3)`
The answer is, `[(8x+7)^(17/6)]/[(8x+7)^(5/3)]`
`= (8x+7)^(17/6 - 5/3)`
`= (8x+7)^(1/6)`
2. We are given the expression `(8x+7)^(-5/2) (8x+7)^(2/3)`
Here, we use the product rule; `(a^n)(a^m) = a^(n+m)`
`= (8x+7)^(-5/2 + 2/3)`
`= (8x+7)^(-15/6 + 4/6)`
`= (8x+7)^(-11/6)`Therefore, the answer is `(8x+7)^(-11/6)`.To simplify the given expressions `(8x+7)^(5/2)/(8x+7)^(-5/3)` and .`(8x+7)^(-5/2) (8x+7)^(2/3)`, we use the rules of exponents.

The product rule states that when we multiply two expressions with similar bases, we can add their exponents.

Similarly, the quotient rule states that when we divide two expressions with similar bases, we can subtract their exponents.Given the first expression `(8x+7)^(5/2)/(8x+7)^(-5/3)`, we can apply the product rule.

Thus, we write `(8x+7)^(5/2) (8x+7)^(1)` since `8x+7` is the common base.

This is equivalent to `(8x+7)^(5/2+1)` which can be simplified further to `(8x+7)^(12/6+5/2)` and then to `(8x+7)^(17/6)`.To simplify the second expression `(8x+7)^(-5/2) (8x+7)^(2/3)`, we can apply the product rule again.

Thus, we write `(8x+7)^(-5/2 + 2/3)` which is equivalent to `(8x+7)^(-15/6 + 4/6)`. We can simplify this expression to `(8x+7)^(-11/6)`.

In conclusion, we have the simplified expressions `[(8x+7)^(17/6)]/[(8x+7)^(5/3)]` and `(8x+7)^(-11/6)` for the expressions `(8x+7)^(5/2)/(8x+7)^(-5/3)` and `(8x+7)^(-5/2) (8x+7)^(2/3)` respectively.

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Answer:

iv done this before          positioned up and down rather than from side to side going straight up. See more meanings of vertical.

Step-by-step explanation:

there you go hope you get it this was some of my notes i wrote down

Answer:

y = \(\frac{4}{3}\) x + \(\frac{29}{3}\)

Step-by-step explanation:

assuming you require the equation of the perpendicular line.

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \(\frac{3}{4}\) x - 3 ← is in slope- intercept form

with slope m = - \(\frac{3}{4}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{3}{4} }\) = \(\frac{4}{3}\) , then

y = \(\frac{4}{3}\) x + c ← is the partial equation

to find c substitute (- 2, 7 ) into the partial equation

7 = - \(\frac{8}{3}\) + c ⇒ c = 7 + \(\frac{8}{3}\) = \(\frac{21}{3}\) + \(\frac{8}{3}\) = \(\frac{29}{3}\)

y = \(\frac{4}{3}\) x + \(\frac{29}{3}\) ← equation of perpendicular line

The equation of the line is y = (4x +29)/3

The line y = -3/4x - 3 has a slope of -3/4.  A line perpendicular to -3/4 has a slope of 4/3. So the slope of our new line will be 4/3.

We are told that the line goes through the point (-2, 7).  That is x = -2 and y = 7.  Now that we know a point and a slope, we can use the formula:

y2 - y1 = m(x2 - x1)

where,

x1 = -2

y1 = 7

m = 4/3 [slope]

Substituting in the formula,

y2 - 7 = 4/3(x2 - (-2))

y2 - 7 = 4/3*x2 + 4/3*2

3(y2 - 7) = 4(x2) + 8    

3y2 - 21 = 4(x2) +8

3y2 = 4(x2) + 8 +21

3y2 = 4(x2) +29

y2 = (4(x2) +29)/3          

Therefore, the equation of the line is y = (4x +29)/3

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The completer question is

'Find the equation of the line that is perpendicular to y = -3/4x - 3 and passes through the points (-2,7).'

Zero divided by any real number is equal to zero.

The equilibrium price is the price at which the quantity demanded equals the quantity supplied.

Looking at the graph, we can see that the demand curve intersects the supply curve at a quantity of approximately 200 million boxes. To find the corresponding equilibrium price, we need to find the price level at this quantity.

From the graph, we can observe that the price axis ranges from $20 to $40. Since the graph is not accurately scaled, we can estimate the equilibrium price to be around $30 per box based on the midpoint of the price range.

Therefore, the equilibrium price in this market is approximately $30 per box.

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Answer:

Step-by-step explanation:

The first three terms of the arithmetic sequence for the number of words written are 10010, 9760, 9510. These have a common difference of 9760-10010 = -250. The first term and common difference can be used to make the explicit equation for the words written on the n-th day.

The explicit formula for the n-th term of an arithmetic sequence with first term a₁ and common difference d is ...

  \(a_n=a_1+d(n-1)\)

For first term a₁ = 10010 and common difference d = -250, the explicit rule is ...

  \(a_n=10010-250(n-1)\)

On day 14, n=14, and the number of words written is ...

  \(a_{14}=10010-250(14-1)\\\\a_{14}=10010-250(13)=10010-3250\\\\a_{14}=6760\)

The writer would write 6760 words on the 14th day.

Answer:

2x^3+17x^2+44x+36

Step-by-step explanation:

(X+2)(X+2)

X^2+2x+2x+4

X^2+4x+4(2x+9)

2x^3+9x^2+8x^2+36x+8x+36

2x^3+17x^2+44x+36

Hopes this help please mark brainliest

Answer:

98÷7=14 cuz 14×7=98

Step-by-step explanation:

To find the three points that divide the line segment joining (x1,y1) and (x2,y2) into four equal parts, we can use the midpoint method three times.

First, let's find the midpoint between (x1,y1) and (x2,y2) using the midpoint formula:
midpoint1 = ((x1 + x2) / 2, (y1 + y2) / 2)

Next, we will find the midpoint between (x1,y1) and midpoint1:
midpoint2 = ((x1 + midpoint1[0]) / 2, (y1 + midpoint1[1]) / 2)

Lastly, we will find the midpoint between midpoint1 and (x2,y2):
midpoint3 = ((midpoint1[0] + x2) / 2, (midpoint1[1] + y2) / 2)

These three midpoints, midpoint1, midpoint2, and midpoint3, divide the line segment into four equal parts.

For example, if we have the points (2,4) and (10,8), the steps would be as follows:
1. Find the midpoint between (2,4) and (10,8):
  midpoint1 = ((2 + 10) / 2, (4 + 8) / 2)
            = (6, 6)
2. Find the midpoint between (2,4) and (6,6):
  midpoint2 = ((2 + 6) / 2, (4 + 6) / 2)
            = (4, 5)
3. Find the midpoint between (6,6) and (10,8):
  midpoint3 = ((6 + 10) / 2, (6 + 8) / 2)
            = (8, 7)

So, the three points that divide the line segment into four equal parts are (6, 6), (4, 5), and (8, 7).

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The probability distribution for X, the number of attempts at the claw picking up a stuffed animal, is the geometric distribution. The probability of the gripper picking up a stuffed toy on the 4th try, assuming independent trials, is approximately 0.0814 or 8.14%.

The probability distribution that X (the number of attempts at the claw picking up a stuffed animal) follows in this scenario is the geometric distribution.

In a geometric distribution, the probability of success remains constant from trial to trial, and we are interested in the number of trials needed until the first success occurs.

In this case, the probability of the grappling claw catching a stuffed animal on each attempt is 1/15. Therefore, the probability of a successful catch is 1/15, and the probability of failure (not picking up a stuffed toy) is 14/15.

To find the probability that the gripper picks up a stuffed toy on the 4th try, we can use the formula for the geometric distribution:

P(X = k) = (1-p)^(k-1) * p

where P(X = k) is the probability of X taking the value of k, p is the probability of success (1/15), and k is the number of attempts.

In this case, we want to find P(X = 4), which represents the probability of the gripper picking up a stuffed toy on the 4th try. Plugging the values into the formula:

P(X = 4) = (1 - 1/15)^(4-1) * (1/15)

P(X = 4) = (14/15)^3 * (1/15)

P(X = 4) ≈ 0.0814

Therefore, the probability that the gripper picks up a stuffed toy on the 4th try, assuming the trials are independent, is approximately 0.0814 or 8.14%.

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The indicated functional value for the floor function f(1.5) is option D 1.

Given,

Floor function, f(1.5)

We have to find the indicated value for the given floor function.

Floor function comes under integer functions.

There are floor and ceiling function.

Ceiling function gives the least integer value greater than or equal to x.

Floor function gives the greatest integer values less than or equal to x.

Lets see an example;

Floor function of 2.6 is 2

Ceiling function of 2.6 is 3

Here,

Floor function, f(1.5) = 1

That is,

The indicated functional value for the floor function f(1.5) is option D 1.

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Answer:

no pic or better explanation

Step-by-step explanation:

if you give a pic or explanation we cant help sorry

Answer:

( x + 4 ) ( x + 1 )

Step-by-step explanation:

x² + 5x + 4

= x² + 1x + 4x + 4

= x ( x + 1 ) + 4 ( x + 1 )

= ( x + 4 ) ( x + 1 )

Hence, factorised.

Answer:

Step-by-step explanation:

5

in a stem-and-leaf display: b. one or more digits are used to define each stem, and a single digit is used to define each leaf

A stem and leaf plot, often known as a stem plot, is a method for categorizing discrete or continuous data. Data are organized as they are gathered using a stem and leaf plot. A stem and leaf plot resembles a bar graph in appearance. As each integer throughout the database is divided into a stem and a leaf, thus the name fits.

The last digit of each data point serves as the "leaf" in a stem and leaf plot, which divides the data into numerical points (the leading digit or digits).
Thus, in this case, correct option is:b

in a stem-and-leaf display: b. one or more digits are used to define each stem, and a single digit is used to define each leaf

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There is enough proof to indicate that the percentage of newsletter readers who possess a Rolls Royce is less than 69%.

The null hypothesis is that p = 0.69, meaning that 69% of the newsletter readers own a Rolls Royce. The alternative hypothesis is that p < 0.69, meaning that less than 69% of the newsletter readers own a Rolls Royce.

We can use a one-tailed z-test to test the hypothesis. Assuming a sample size of n = 100, if we observe fewer than 69 Rolls Royces in our sample, we can reject the null hypothesis.

Using a z-test, we can calculate the z-score by using the formula:

z = (p' - p) / sqrt(p * (1 - p) / n)

where p' is the sample proportion, p is the hypothesized proportion, and n is the sample size.

At a significance level of 0.10, the critical z-value is -1.28. If the calculated z-score is less than -1.28, we can reject the null hypothesis.

If we conduct a survey of 100 newsletter readers and find that 58 of them own a Rolls Royce, the sample proportion would be p' = 0.58. Calculating the z-score, we get:

z = (0.58 - 0.69) / sqrt(0.69 * 0.31 / 100) = -1.83

Since -1.83 is less than -1.28, we can reject the null hypothesis and conclude that there is sufficient evidence to suggest that fewer than 69% of the newsletter readers own a Rolls Royce.

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the vertex, focus, and directrix of the given parabola are given by:
Vertex: (h, k) = (- 2, - 3)

Focus: (h - a, k) = (- 2 - 3/4, - 3)

= (- 11/4, - 3)

Directrix: x = - 5/4.

The equation of the given parabola is y² + 6y + 3x + 3 = 0. We are to find the vertex, focus, and directrix of the parabola.

We can rewrite the given equation in the form: y² + 6y = - 3x - 3 + 0y + 0y²

Completing the square on the left side, we get:

(y + 3)²

= - 3x - 3 + 9

= - 3(x + 2)

This is in the standard form (y - k)² = 4a(x - h), where (h, k) is the vertex. Comparing this with the standard form, we have: h = - 2,

k = - 3.

So, the vertex of the parabola is V(- 2, - 3).Since the parabola opens left, the focus is located a units to the left of the vertex,

where a = 1/4|4a|

= 3/4

The focus is F(- 2 - 3/4, - 3) = F(- 11/4, - 3).

The directrix is a line perpendicular to the axis of symmetry and is a distance of a units from the vertex.

Therefore, the directrix is the line x = - 2 + 3/4

= - 5/4.

Therefore, the vertex, focus, and directrix of the given parabola are given by:

Vertex: (h, k) = (- 2, - 3)

Focus: (h - a, k) = (- 2 - 3/4, - 3)

= (- 11/4, - 3)

Directrix: x = - 5/4.

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As X and Y are two numerical variables. Because they are independent so there is no relationship between the two variables other than the linear relationship described by the regression equation. The correct answer is B. III only, that is  X and Yare independent.

When performing a regression analysis involving two numerical variables, we assume that X and Y are independent, meaning that the value of one variable does not depend on the value of the other variable. However, we do not assume that the variances of X and Y are equal or that the variation around the line of regression is the same for each X value. These assumptions are not necessary for performing a regression analysis. Violation of this assumption can lead to spurious results and incorrect inferences. So, the correct option in  B. III only.

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Kuta Software - Infinite Algebra 1 is an educational tool that focuses on providing students with algebra 1 exercises. The software includes a range of topics that cover the fundamentals of algebra 1. One of the topics that the software covers is Adding and Subtracting Polynomials. Adding Polynomials involves combining like terms.

In the case where the polynomials are in descending order, students can start adding or subtracting their respective terms. Similarly, if the polynomials are in ascending order, the students should start with the terms with the highest degree and work their way down. Adding polynomials is relatively easy since it involves combining like terms.

However, when it comes to subtracting polynomials, the process becomes a bit more complicated. The subtraction of polynomials involves changing the sign of the terms to be subtracted. To be able to do this, students can first distribute a negative sign throughout the polynomial, then follow the same procedure they would have followed when adding polynomials to combine like terms.

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Adding and subtracting polynomials in Algebra involves combining or subtracting like terms. For practice, Kuta Software provides various activities. An example is given to demonstrate the process.

Adding and subtracting polynomials is a key concept within the subject of Algebra 1. Kuta Software is a common educational platform that offers a variety of activities for practicing this skill. In essence, to add or subtract polynomials, you combine or subtract like terms, which are terms with the same variable and exponent. For example, if you were to add the polynomials 3x^2 + 2x and 5x^2 - 2x, you would combine the x^2 terms and the x terms separately, resulting in (3x^2 + 5x^2) + (2x - 2x), which simplifies to 8x^2.

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The area of the shaded region is approximately 34.54 cm².

To find the area of the shaded region, we need to subtract the area of the smaller circle from the area of the larger circle.
First, we need to find the radius of each circle. We know that the diameter of the larger circle is 12 cm, so the radius is half of that, which is 6 cm. For the smaller circle, we're given the circumference, which is 10π cm. We can use the formula for circumference to find the radius:
C = 2πr
10π = 2πr
r = 5 cm
Now that we have the radii, we can calculate the area of each circle:
A = πr²
For the larger circle:
A = π(6)²
A = 36π
And for the smaller circle:
A = π(5)²
A = 25π
To find the area of the shaded region, we need to subtract the area of the smaller circle from the area of the larger circle:
A(shaded) = A(larger) - A(smaller)
A(shaded) = 36π - 25π
A(shaded) = 11π
To round to two decimal places, we can use 3.14 as an approximation for π:
A(shaded) ≈ 11(3.14)
A(shaded) ≈ 34.54
Therefore, the area of the shaded region is approximately 34.54 cm².

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Complete Question

The data for this question is shown on the first uploaded image

Answer:

The 95% confidence interval estimate of the population percentage is  

   \( 33.2\% <  p < 76.8 \% \)

Step-by-step explanation:

On the data the first value is the height of the president while the other value is the height of his opponent

    The sample size is  n  =  20  

Looking at the data we see that out of the 20  presidents that only 11 is taller than their opponent

 So the proportion of presidents that are taller than their opponents is  

      \(\^ p = \frac{11}{20}\)  

=>   \(\^ p = 0.55\)

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally from the normal distribution table the critical value  of   is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

Generally the margin of error is mathematically represented as  

   \(E = Z_{\frac{\alpha }{2} } *  \sqrt{\frac{\^ p (1- \^ p) }{n}} \)

  \(E = 1.96 *  \sqrt{\frac{0.55 (1- 0.55) }{20}} \)

   \(E = 0.218\)

Generally 95% confidence interval is mathematically represented as  

      \(\r p -E <  p <  \r p +E\)

=>    \(0.55-0.218 <  p < 0.55+ 0.218 \)

=>    \(0.332 <  p < 0.768 \)

Converting to percentage

        \((0.332*100)\% <  p < (0.768 *100) \% \)

=>    \( 33.2\% <  p < 76.8 \% \)

Answer:

C. five samples.

Step-by-step explanation:

By the figure of a circle, 70% of the figure is shaded.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

A circle divided into ten equal parts. Seven of the parts are shaded.

Now, Number of total parts = 10

And, Shaded parts of a circle = 7

Hence, The percent of shaded part is,

⇒ Shaded part / Total parts × 100

⇒ 7/10 × 100

⇒ 70%

Thus, There are 70% of the figure is shaded.

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Answer:

i-that doesn't help

Step-by-step explanation:

Answer:

38.98

Step-by-step explanation:

Perimeter of figure has 3 sides of rectangle and half the circle

perimeter of the rectangle = 5 + 5 + 7 = 17

circumference of 1/2 circle = 2 x 3.14 x (7/2) = 21.98

perimeter of figure = 17 + 21.98 = 38.98

Triangle HKI is a right triangle with two congruent right angles, also known as an isosceles right triangle.

Since JK is a perpendicular bisector of HI and HI acts as a bisector of JK, we can conclude that HI and JK are perpendicular to each other and intersect at point L.

Given that JK, the perpendicular bisector of HI, goes through L and is twice the length of HI, we can label the length of HI as "x." Therefore, the length of JK would be "2x."

Now let's consider the triangle HKI.

Since HI is a bisector of JK, we can infer that angles HKI and IKH are congruent (they are the angles formed by the bisector HI).

Since HI is perpendicular to JK, we can also infer that angles HKI and IKH are right angles.

Therefore, triangle HKI is a right triangle with angles HKI and IKH being congruent right angles.

In summary, triangle HKI is a right triangle with two congruent right angles, also known as an isosceles right triangle.

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6:15 to 7:45 is 1 hour and 30 minutes.

Dividing 1 hour and 30 minutes by 15 minute intervals equals 6

They rang the bell 6 times