one more than a number

Answer:

5 mph

Step-by-sep explanation:

To find of out the difference between the speed of the two drivers in miles per hour (not in miles per minute), first, calculate the unit rate or speed of driver 1 using the graph, and driver 2 using the table given.

Unit rate/speed = distance travelled/time = y/x.

Speed of Driver 1/unit rate:

The graph shows 1.5 miles (y) is travelled in 2 minutes (x).

Convert the 2 minutes to hour, you will have:

\( \frac{2}{60} = \frac{1}{30} hr \)

Speed in mph = \( \frac{y}{x} = \frac{1.5}{\frac{1}{30}} = 1.5*\frac{30}{1} = 45 \)

Speed of Driver 1 in mph = 45 mph

Speed of Driver 2/unit rate:

The table shows 2.5 miles (y) is travelled in 3 minutes (x).

Convert the 3 minutes to hour, you will have:

\( \frac{3}{60} = \frac{1}{20} hr \)

Speed in mph = \( \frac{y}{x} = \frac{2.5}{\frac{1}{20}} = 2.5*\frac{20}{1} = 50 \)

Speed of Driver 2 in mph = 50 mph

Difference between the speed of the two drivers = 50 - 45 = 5 mph

Answer:

he has atleast 36% left

Step-by-step explanation:

because

The graph of equation is shown in figure.

We have to given that,

The equation is,

⇒ y = - 2x² + 12x - 17

Now, We have the given equation is a quadratic equation.

Hence, We can simplify as,

⇒ y = - 2x² + 12x - 17

⇒ y = - 2 (x² + 6x) - 17

⇒ y = - 2 (x² - 6x + 3² - 3²) - 17

⇒ y = - 2 (x - 3)² + 18 - 17

⇒ y = - 2 (x - 3)² + 1

Hence, This represent the equation of parabola with vertex (3, 1).

Thus, The graph of equation is shown in figure.

Learn more about parabola visit:

https://brainly.com/question/29635857

#SPJ1

Answer: 375 bolts

Step-by-step explanation:

Just do 225*(40/24)

Answer:

a

Step-by-step explanation:

Answer:

Answer:

The number of chirps per minute is 72

Step-by-step explanation:

Here, using the formula given, we want to find the number N representing the number of chirps per minute.

To get this, we shall simply substitute the value of 58 for T in the equation;

Thus;

58 = 50 + (N-40)/4

58 -50 = (N-40)/4

8 = (N-40)/4

4 * 8 = N -40

32 = N -40

N = 40 + 32

N = 72

Step-by-step explanation:

(i)  \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1

(iii) h(0) = 1/7

The value of λ must be 7, for h(x) to be continuous at x = 0.

The given function is,

h(x) = 1/7, when x = 0

      = 1 - 2 cos 2x, when x < π/2

      = 1 + 2 cos 2x, when x > π/2

      = x cos x/sin λx, when x < 0

Now,

(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1

(iii) h(0) = 1/7

Since the function is continuous at x = 0, so

\(\lim_{x \to 0}\) h(x) = h(0)

\(\lim_{x \to 0}\) x cos x/sin λx = 1/7

\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7

1/λ = 1/7

λ = 7

Hence the value of λ must be 7.

To know more about continuous here

https://brainly.com/question/30089268

#SPJ1

Complete Question

The complete question is shown on the first uploaded image

Answer:

Yes  the test  suggest that the true average percentage of organic matter in such soil is something other than 3%

Step-by-step explanation:

From the question we are told that

  The  sample mean is  \(\= x = 2.482\%\)

  The  standard deviation is \(\sigma = 1.614\)

   The  standard error is \(SE = 0.295\)

     The  sample size is \(n = 30\)

   The  level of significance is  \(\alpha = 0.05\)

  The  null hypothesis is \(H_o : \mu = 3\%\)

   The  alternative hypothesis is  \(H_a : \mu \ne 3\%\)

Now  the degree of freedom is evaluated as

       \(df = n - 1\)

       \(df = 30 - 1\)

       \(df = 29\)

The test statistics is mathematically evaluated as

         \(t = \frac{ 2.482 - 3}{ 0.295}\)

         \(t = -1.756\)

The p-value is obtained from the the student t -distribution table , the value is  

        \(p-value = P( T \le t)= 2 * t_{ t, df } = t_{ -1.756 , 29 } = 2 *0.0448= 0.0896\)

The reason for the 2 in the equation is because the test is a two -tailed test i.e  -1.756 and  1.756

Given that the \(p-value > \alpha\) then we fail to reject the null hypothesis

Hence the test the suggest that the true average percentage of organic matter in such soil is something other than 3%

The radius of the semicircle protractor is approximately 4.693 cm.

Given,Perimeter of a semicircle protractor = 14.8 cm.

To find:The radius of a semicircle protractor.Solution:We know that the perimeter of a semicircle protractor is the sum of the straight edge of a protractor and half of the circumference of the circle whose radius is the radius of the protractor.

Circumference of a circle = 2πrWhere, r is the radius of the circle.If the radius of the semicircle protractor is r, then Perimeter of a semicircle protractor = r + πr [∵ half of the circumference of a circle =\((1/2) × 2πr = πr]14.8 = r + πr14.8 = r(1 + π) r = 14.8 / (1 + π)r ≈ 4.693\) cm.

for more questions on semicircle protractor

https://brainly.com/question/30188078

#SPJ8

The rational function graphed in this problem is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator, hence they are given as follows:

x= -4 and x = 1.

Hence the denominator of the function is given as follows:

(x + 4)(x - 1).

The intercept is given as follows:

x = 0.

Hence the numerator is:

x.

Thus the function is given as follows:

D. F(x) = x/[(x + 4)(x - 1)]

More can be learned about rational functions at https://brainly.com/question/1851758

#SPJ1

Answer:

200 lbs.

Step-by-step explanation:

Divide mass value by 16 to convert oz to lbs.

3,200/16=200

Answer:

Sales tax = $1.25

Total = $25+$1.25 = $26.25

Step-by-step explanation:

Tax = 0.05 x 25 = 1.25

Total = 1.25 + 25

Answer:

To calculate tip or tax, simply move the decimal place 2 to the right and multiply it by the price. For example, If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total

The sales tax is $1.25

The total price is $26.25

Answer: what's up?

Step-by-step explanation:

Answer:

10/11

Step-by-step explanation:

Answer:

425.29

Step-by-step explanation:

\(P=300\left(1+\frac{0.07}{12} \right)^{(12)(5)} \approx 425.29\)

Answer: $364.65

Step-by-step explanation: A = P ( 1 + r / n ) ^ nt

= 300 ( 1 + 0.05 ) ^ 4

300 x 1.05 ^ 4

364.651875

rounded to nearest tenth is 364.65

Answer:A,D

Step-by-step explanation:

Answer:

67*3=201

bcoz there were two decimals in 0.67 and one decimal point in 0.3 hence we multiply them normally as shown above.

below is the ryt answer

0.67*0.3=0.201

hop u understood

tnxx

There is a 65.54% probability that the average age of those doctors is under 48.8 years.

Science uses a figure called the probability of occurrence to quantify how likely an event is to occur.

It is written as a number between 0 and 1, or between 0% and 100% when represented as a percentage.

The possibility of an event occurring increases as it gets higher.

True mean = mean (or average)+/- Z*SD/sqrt (sample population)

Then,

Mean (average) = 48.0 years

The true mean must be less than 48.8 years.

SD = 6.0 years, and

Sample size (n) = 9 doctors

Using Z as the formula's subject:

Z= (True mean - mean)/(SD/sqrt (n))

Inserting values:

Z=(48.8-48.0)/(6.0/sqrt (9)) = 0.4

From the table of normal distribution probabilities:

At Z= 0.4, P(x<0.4) = 0.6554 0r 65.54%

Therefore, there is a 65.54% probability that the average age of those doctors is under 48.8 years.

Know more about probability here:

https://brainly.com/question/24756209

#SPJ1

Complete question:

The average age of doctors in a certain hospital is 48.0 years old. suppose the distribution of ages is normal and has a standard deviation of 6.0 years. if 9 doctors are chosen at random for a committee, find the probability that the average age of those doctors is less than 48.8 years. assume that the variable is normally distributed.

Answer:

y = csc(x - 3/4\(\pi\))

Step-by-step explanation:

I forgot how to answer questions like these. I went ahead and tried re-learning this to answer this.

So, the first step is to recognize that this graph can only be the reciprocal function of sin or cosine. I will think of sine.

y = sin(x)

Look at where the x-coordinate of the sin is. (-3/4PI). This is going to be the c value. { y = asin(x-c) }

y = sin(x - 3/4\(\pi\))

Now, what is the a value? or amplitude? Well, it's just 1.. and the simplest explanation is just to look at my picture.

Now, if we were to graph this, we would end up with the correct x and y values, but the shape is wrong, and the easiest way to fix this is to just take the recpriocal of the sine function.

y = csc(x - 3/4\(\pi\))

Thank you for this question, I re-learned something I forgot back in pre-calc haha.

Answer:

The answer is B

Step-by-step explanation:

Step-by-step explanation:

The formula:

�

�

=

�

2

(

�

1

+

�

�

)

S

n

=

2

n

(a

1

+a

n

)

is used to solve for the sum of the arithmetic sequence given the first term a₁, the number of terms n, and the last term in an.

Example:

3, 6, 9, 12, 15,...,123

The first term, a₁ = 3

The last term an = 123

Common difference, d = 3 (because the sequence are multiples of 3)

Number of terms, n= ?

Find the number of terms, n:

an = a₁ + (n-1) (d)

123 = 3 + (n-1) (3)

123 = 3 - 3 + 3n

123/3 = 3n/3

n = 41

To find the sum of the given sequence without adding 3 + 6 + 9, ... + 123, we use the formula:

S₄₁ = (41/2) (3 + 123)

S₄₁ = (41/2) (126)

S₄₁ = (41)(63)

S₄₁ = 2,583 ⇒ the sum of the given sequence

Answer: 34,650 permutations

Using the Intersecting secants theorem, the length of JK in the given diagram is 17

From the question, we are to determine the length of JK in the given diagram.

The diagram shows a circle with intersecting secants.

From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".

Then,

We can write that

JK × KL = NM × ML

From the given diagram,

KL = 14

NM = 14

ML = 17

Substituting the values

JK × 14 = 14 × 17

JK = (14 × 17) / 14

JK = 17

Hence, the length of JK is 17

Learn more on Intersecting secants theorem here: https://brainly.com/question/26340897

#SPJ1

Answer:

x = − 8

Step-by-step explanation:

Factor then solve to find the complex solutions.

Answer:

True.

Step-by-step explanation:

Try out some numbers:

3 + 3 = 6

5 + 5 = 10

11 + 11 = 22

Answer:

f(3) = 3 + 1 = 4

Step-by-step explanation:

Since 3 > 0, we need to focus on the part of the function where x > 0. So:

f(3) = 3 + 1 = 4.

By placing the given value in equation , we get u + v - 4u = (-20, 13)

A physical quantity that has both directions and magnitude is referred to as a vector quantity.

A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.

To evaluate u + v - 4u, we first need to find the vector 4u, which is obtained by multiplying the vector u by the scalar 4:

4u = 4(5,-2) = (20,-8)

Now, we can add u and v, and subtract 4u from the result:

u + v - 4u = (5,-2) + (-5,7) - (20,-8)

= (5 - 5 - 20, -2 + 7 + 8)

= (-20, 13)

Therefore, u + v - 4u = (-20, 13).

To know more about vector visit:

https://brainly.com/question/29740341

#SPJ1

Answer:

$34

Step-by-step explanation:

50% is half of 100%

(Because 50% x 2 = 100%)

Thus, half the money ($68) to find 50%.

So, 68÷2 = 34

Final answer is $34

Or

50/100 x $68 =$34

Hope this helps!