if car traveling 40 mph takes 30 feet to stop, how many seconds will it take to stop? 

The number of Caroline's textbook is 8

A word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math. If you've ever taken a math class, you've probably solved a word problem.

Represent the Notebook bought by Bert as q

q = p-5

p-2= 2q

p = 2q +2

substitute 2q +2

q = 2q+2-5

2q-q = 3

q = 3

substitute 3 for q

3 = p-5

p = 5+3

p= 8

Therefore Caroline's number of notebook is 8

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Answer:

Step-by-step explanation:

To determine which option is faster, we need to determine the total number of nights required for each option.

First, let's find the number of pages Nora still needs to read by subtracting the number of pages she's already read from the total number of pages: 280 pages * 30% = 84 pages

So, Nora still needs to read 280 pages - 84 pages = 196 pages.

For Option 1, Nora would read 25% of the remaining pages each night, so the number of pages she reads each night would be: 196 pages * 25% = 49 pages

The total number of nights required would be 196 pages / 49 pages/night = 4 nights.

For Option 2, Nora would read 28 pages each night, so the total number of nights required would be 196 pages / 28 pages/night = 7 nights.

Since 4 nights is less than 7 nights, Nora should choose Option 1 to finish reading the book in the least amount of time.

Answer: A) Dashed line with shading below

Step-by-step explanation:

because, as you can see the < sign is only less than not 'less than and equal to' so it will be dashed...

Answer:

A

Step-by-step explanation:

A dashed line is used if < or > is used to indicate that the boundary is not part of the solution. Then shade the appropriate region.

As in the question, y is less than 4/3x + 2 therefore, the region below the line is shaded.

Answer:

Step-by-step explanation: Option A is correct.

The first order derivative of the given function is f'(x) = [tex](1+\frac{1}{2(x+x^{\frac{1}{2} })}(1+\frac{1}{2x^{\frac{1}{2} }} )) \frac{1}{2(x+(x+x^{\frac{1}{2} })^{\frac{1}{2} })^{\frac{1}{2} }}[/tex].

The process of finding derivatives of a function is called differentiation in calculus. A derivative is the rate of change of a function with respect to another quantity.

The given function is [tex]f(x)=\sqrt{x+\sqrt{x+\sqrt{x} } }[/tex].

The derivative using the chain and power rules is

f'(x) = [tex](1+\frac{1}{2(x+x^{\frac{1}{2} })}(1+\frac{1}{2x^{\frac{1}{2} }} )) \frac{1}{2(x+(x+x^{\frac{1}{2} })^{\frac{1}{2} })^{\frac{1}{2} }}[/tex]

Therefore, the first order derivative is f'(x) = [tex](1+\frac{1}{2(x+x^{\frac{1}{2} })}(1+\frac{1}{2x^{\frac{1}{2} }} )) \frac{1}{2(x+(x+x^{\frac{1}{2} })^{\frac{1}{2} })^{\frac{1}{2} }}[/tex].

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The perimeter of each shape is obtained adding all of their outer side lengths.

The perimeter of a polygon is composed by the sum of the lengths of the outer edges of the figure.

Hence, for each polygon, you must identify the outer side lengths, and then add them.

The problem is incomplete, hence the standard procedure to find the polygon of a shape was presented.

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Answer:

C

Step-by-step explanation:

An irrational number cannot be shown as a simple fraction. If the number has decimals that are non-repeating (so not 7.85555555... or. 9.121212121...), cannot be shown as fractions (not 1.50000000... as it can be written as 3/2), and does not terminate (aka end).  C is the answer you're looking for, as it cannot be shown as a fraction, the numbers after the decimal go on indefinitely,  and the number's don't follow a noticeable repeatable pattern.

Answer:

Step-by-step explanation:

Answer:

0.209.

Step-by-step explanation:

The probability that someone files their taxes on time is 1 - 0.351 = 0.649.

To find the probability that 6 out of 10 people file their taxes on time, we can use the binomial distribution. The binomial formula for the probability of k success in n trials is given by:

P(k) = (n choose k) * p^k * (1-p)^(n-k)

Where (n choose k) is the number of combinations of n items taken k at a time, and p is the probability of success in a single trial.

So, for the problem at hand:

P(6) = (10 choose 6) * 0.649^6 * (1 - 0.649)^(10 - 6) = 0.209

Therefore, the probability that 6 out of 10 people file their taxes on time is approximately 0.209.

Answer:

The correct formula that expresses the statement "when x is equal to the square root of another number, s, plus the square root of two" is:

x = √s + √2

This formula says that x is equal to the square root of s plus the square root of 2.

The limits lim x→ −4 f(x) is 5

The method is substitution method

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

−5x − 15 ≤ f(x) ≤ x² + 3x + 1

The limits is given as

lim x→ −4 f(x)

By direct substitution, we have

−5(-4) − 15 ≤ f(x) ≤ (-4)² + 3(-4) + 1

Evaluate the exponents and the products

20 − 15 ≤ f(x) ≤ 16 - 12 + 1

Evaluate the difference

5 ≤ f(x) ≤ 5

This means that

f(x) = 5

So, we have

lim x→ −4 f(x) = 5

The method used is the direct substitution method

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Answer:

Step-by-step explanation:

5 times -4 is -20, so the equation becomes -20 - r + 1 = -37

-20 plus 1 equals -19, so the equation is now -19 - r = -37

Then you add 19 to both sides to isolate r

-r = -18

To get a positive r, divide or multiply both sides by -1, and you get r = 18

[tex]5(-4)-r+1=-37[/tex]

Simplify:

[tex]-20-r+1=-37[/tex]

Combine Like Terms:

[tex](-r)+(-20+1)=-37[/tex]

[tex]-r-19=-37[/tex]

Add 19 to both sides:

[tex]-r-19+19=-37+19[/tex]

[tex]-r=-18[/tex]

Divide both sides by -1:(To remove the negative from the variable r)

[tex]\dfrac{-r}{-1}=\dfrac{-18}{-1}[/tex]

[tex]\boxed{r=18}[/tex]

In the given figure angle CBF and angle CEF are supplementary angles. So Option C is correct.

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Given that,

A figure which contains one trapezium BCEF

And in this portion angle CBF and angle BCE are  opposite angles

and opposite angles are supplementary angles,

Hence, the pairs of angles are ∠CBF & ∠CEF

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Answer:

-30

Step-by-step explanation:

Answer: Function

Step-by-step explanation:

Answer:

There is no value of x that makes the equation be true since an absolute value can never be negative.

No solution

Step-by-step explanation:

On solving the provided question, we can say that by linear equation If The Grant is thinking of two numbers, they are 13 and 26.

A linear equatiοn is one that has the form y = mx+b in algebra. B is the slοpe, and m is the y-intercept. It's usual to refer tο the previous clause as a "linear equation with twο variables" because y and x are variables. The twο-variable linear equations knοwn as bivariate linear equations.

There are several instances οf linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred tο as being linear when an equation has the fοrm y = mx+b, where m stands for the slοpe and b for the y-intercept. When an equatiοn has the formula y = mx+b, with m denοting the slope and b the y-intercept, it is referred tο as being linear.

x be the first number and y be the secοnd number:

x = 2y

x + y = 39

Plug x = 2y in the other equation:

2y + y = 39

3y = 39

y = 13

x = 26

If The Grant is thinking of two numbers, they are 13 and 26. He claims that the total of the two numbers is 39 and that one of the numbers is double the other.

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Answer:

f(x)=3x^2+2

Step-by-step explanation:

use pm

Answer:

8.25 gallan=33 quart

Step-by-step explanation:

Answer:

Multiplied by -5

Step-by-step explanation:

-8 X -5 = 40

40 X -5 = -200

The required measure of angle p in triangle DBC is given as ∠p = 59.14°.

If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.

Here,

Consider triangle ABD

Apply the Pythagorean theorem to determine the measure of DB,
DB² = AD² + AB²
DB² = 6² + 5²
DB² = 61
DB = 7.81

Now,
Apply the trig ratio in triangle DCB,
cosp = 4/7.81
p = 59.14°

Thus, the required measure of angle p in triangle DBC is given as ∠p = 59.14°.

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Answer:

Step-by-step explanation:

For part a:

Mean: Use the AVERAGE function to find the mean of the "Number" column.

Median: Use the MEDIAN function to find the median of the "Number" column.

Mode: There is no built-in function to find the mode in Excel, but you can use a combination of the IF, COUNTIF, and MAX functions to find the most frequently occurring value.

Maximum: Use the MAX function to find the maximum value in the "Number" column.

Minimum: Use the MIN function to find the minimum value in the "Number" column.

For part b:

Mean: Use the AVERAGE function to find the mean of the "Percent" column.

Median: Use the MEDIAN function to find the median of the "Percent" column.

Mode: There is no built-in function to find the mode in Excel, but you can use a combination of the IF, COUNTIF, and MAX functions to find the most frequently occurring value.

Maximum: Use the MAX function to find the maximum value in the "Percent" column.

Minimum: Use the MIN function to find the minimum value in the "Percent" column.

For part c:

The statistics on children whose parents do not have secure employment provide important insights into the state of the economy. In this case, the mean and median of the number of children in each state seem to be around 450,000. The mode cannot be determined since there are no repeated values in the "Number" column. The maximum number of children is 678,000 in Ohio, while the minimum number is 141,000 in Iowa.

Comparing the states, Indiana has a slightly higher mean and median percent of children whose parents do not have secure employment at 27%, compared to the other surrounding states which range from 20% to 31%. However, there is no clear state with the best or worst data as the range of the percent values is not too wide.

In terms of comparison, the number of children may provide a more comprehensive understanding of the extent of the problem, as it gives a clearer picture of the actual number of children affected. However, the percentage provides a more relative comparison between the states, allowing for easier comparison and a clearer understanding of the proportion of children affected in each state.

The vertex of the given function is (0,4)  

What is a quadratic equation?

A quadratic equation is a second-order polynomial equation with a single variable such as x, where ax²+bx+c=0. with a ≠ 0 . Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution. Real or complicated solutions are both possible.

identify the coefficients a and b of the quadratic function

y =ax² +bx+c-------(1)

a=2, b=0

x-coordinate of the vertex is x= -b/2a = -(0)/(2(2)) = 0

Substitute  x=0 into given equation  to get y-coordinate of the vertex

y= 2(0)² + 4 = 0+4 = 4

Vertex= (x,y) = (0,4)

The vertex of the given function is (0,4)

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To sketch the angle θ in standard position, you can start by plotting the point ( -3, 4 ) on the coordinate plane. Next, you draw a line from the origin ( 0, 0 ) to the point ( -3, 4 ), which represents the terminal side of the angle.

Now, you can use the six trigonometric functions to find the exact values for θ:

Cosine ( cos θ ) = x / r = -3 / 5

Sine ( sin θ ) = y / r = 4 / 5

Tangent ( tan θ ) = y / x = 4 / -3

Secant ( sec θ ) = 1 / cos θ = -5 / 3

Cosecant ( csc θ ) = 1 / sin θ = -5 / 4

Cotangent ( cot θ ) = 1 / tan θ = -3 / 4

Here, r represents the distance from the origin to the point ( -3, 4 ), which is 5 units. Note that these values are for the least positive measure of the angle, which is in the second quadrant.

The number of rotational symmetries that the figure has would be C. 1 at 360 degrees.

The number of times the geometric figure is similar to the original figure after undergoing a full revolution is known as the order of rotational symmetry. The order of rotational symmetry is determined by how many times the rotated figure perfectly fits within the original figure.

When the Figure F is rotated, the only times that it can be rotated to be able to give the same figure of F, is once, and that once has to be a full revolution of 360 degrees.

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Step-by-step explanation:

for z -> 3 (3z - 2) -> (3×3 - 2) = 7

Answer:

Step-by-step explanation:

The sum of interior angles in a quadrilateral is 360°, from the picture we have a 90°, 160° and 70°.

so

take off from 360° the know angles and we will find the angle "?"

360 - 90 - 160 - 70 =

40° (your answer)

Answer:if their corresponding sides are proportional.

Step-by-step explanation:

Answer: The domain of a function is the set of all possible input values (x-values) for which the function is defined and produces a valid output (y-value).

In this case, the function s(x) = 6/25 - x^2 has no restrictions on the input values for x, so the domain of the function is all real numbers.

Therefore, the domain of the function s(x) = 6/25 - x^2 is:

(-∞, ∞)

This means that the function can be evaluated for any real value of x.

Step-by-step explanation:

Answer: TASK 1: The answer to how much more of the atmosphere is nitrogen than all other gases combined can be found by measuring the atmospheric composition. Nitrogen makes up the largest fraction of the Earth's atmosphere, at around 78%. Oxygen makes up around 21%, while all other gases make up the remaining 1%. So, nitrogen makes up around 77% more of the atmosphere than all other gases combined.

TASK 2: I'm sorry, but there seems to be a typo in your prompt. Can you please clarify what you meant by "in the Tronosphere was separated out from"?

Step-by-step explanation: