1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zolol [24]
3 years ago
6

Regina charges c dollars per hour to babysit. If she increases her rate by 15%, which

Mathematics
2 answers:
Inga [223]3 years ago
8 0

Answer:

C. c+0.15c

Step-by-step explanation:

Raising her rate by 15% is equivalent to adding 15% of what she charged before to the original price.

Pavlova-9 [17]3 years ago
6 0
Yes. C is the correct answer.
You might be interested in
Four times the sum of 14 and c is a squared
AlekseyPX
4\times(14+c^2)=4\times14+4\times c^2=56+4c^2
6 0
3 years ago
An important problem in industry is shipment damage. A windshield factory ships its product by truck and determines that it cann
ioda

Answer:

Option f) None of these

Step-by-step explanation:

We are given the following data set:

Sample size, n = 12

Sample mean  = 9.4

Sample standard deviation = 0.64

Confidence interval:

\bar{x} \pm t_{critical}\frac{s}{\sqrt{n}}

Putting the values, we get,

t_{critical}\text{ at degree of freedom 11 and at}~\alpha_{0.01} = \pm 3.1058

9.4 \pm 3.1058(\frac{0.64}{\sqrt{12}} ) = 9.4 \pm 0.574 = (8.826,9.974)

5 0
3 years ago
(3+1)²·3 plz help me
xxMikexx [17]

Answer:

Step-by-step explanation:

( 3+1)² * 3

= 4² * 3

= 16 * 3

= 48

6 0
3 years ago
Help me with trigonometry
poizon [28]

Answer:

See below

Step-by-step explanation:

It has something to do with the<em> </em><u><em>Weierstrass substitution</em></u>, where we have

$\int\, f(\sin(x), \cos(x))dx = \int\, \dfrac{2}{1+t^2}f\left(\dfrac{2t}{1+t^2}, \dfrac{1-t^2}{1+t^2} \right)dt$

First, consider the double angle formula for tangent:

\tan(2x)= \dfrac{2\tan(x)}{1-\tan^2(x)}

Therefore,

\tan\left(2 \cdot\dfrac{x}{2}\right)= \dfrac{2\tan(x/2)}{1-\tan^2(x/2)} = \tan(x)=\dfrac{2t}{1-t^2}

Once the double angle identity for sine is

\sin(2x)= \dfrac{2\tan(x)}{1+\tan^2(x)}

we know \sin(x)=\dfrac{2t}{1+t^2}, but sure,  we can derive this formula considering the double angle identity

\sin(x)= 2\sin\left(\dfrac{x}{2}\right)\cos\left(\dfrac{x}{2}\right)

Recall

\sin \arctan t = \dfrac{t}{\sqrt{1 + t^2}} \text{ and } \cos \arctan t = \dfrac{1}{\sqrt{1 + t^2}}

Thus,

\sin(x)= 2 \left(\dfrac{t}{\sqrt{1 + t^2}}\right) \left(\dfrac{1}{\sqrt{1 + t^2}}\right) = \dfrac{2t}{1 + t^2}

Similarly for cosine, consider the double angle identity

Thus,

\cos(x)=  \left(\dfrac{1}{\sqrt{1 + t^2}}\right)^2- \left(\dfrac{t}{\sqrt{1 + t^2}}\right)^2 = \dfrac{1}{t^2+1}-\dfrac{t^2}{t^2+1} =\dfrac{1-t^2}{1+t^2}

Hence, we showed \sin(x) \text { and } \cos(x)

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

5\cos(x) =12\sin(x) +3, x \in [0, 2\pi ]

Solving

5\,\overbrace{\frac{1-t^2}{1+t^2}}^{\cos(x)} = 12\,\overbrace{\frac{2t}{1+t^2}}^{\sin(x)}+3

\implies \dfrac{5-5t^2}{1+t^2}= \dfrac{24t}{1+t^2}+3 \implies  \dfrac{5-5t^2 -24t}{1+t^2}= 3

\implies 5-5t^2-24t=3\left(1+t^2\right) \implies -8t^2-24t+2=0

t = \dfrac{-(-24)\pm \sqrt{(-24)^2-4(-8)\cdot 2}}{2(-8)} = \dfrac{24\pm 8\sqrt{10}}{-16} =  \dfrac{3\pm \sqrt{10}}{-2}

t=-\dfrac{3+\sqrt{10}}{2}\\t=\dfrac{\sqrt{10}-3}{2}

Just note that

\tan\left(\dfrac{x}{2}\right) =  \dfrac{3\pm 8\sqrt{10}}{-2}

and  \tan\left(\dfrac{x}{2}\right) is not defined for x=k\pi , k\in\mathbb{Z}

6 0
3 years ago
The number of violent crimes committed in a day possesses a distribution with a mean of 2.3 crimes per day and a standard deviat
marusya05 [52]

Answer:

B) approximately normal with mean 2.3 and standard deviation 2

Step-by-step explanation:

Given the following :

Mean crimes per day = 2.3

Standard deviation = 2

Number of samples = 100

Sampling distribution of the mean:

According to the central limit theorem:

Sample mean = population mean

2.3 = 2.3

The standard deviation of the sample (s) : ratio of the population standard deviation and square root of the sample size.

s = population standard deviation / √sample size

s = 2 / √100

s = 2 / 10

s = 0.2

The central limit theorem also posits that once ths sample size is large enough, the sampling of the sample mean will be approximately normal.

Hence, the distribution is approximately normal, with mean of 2.3 and standard deviation of 0.2

7 0
3 years ago
Other questions:
  • A family of two adults and four children is going to an amusement park.Admission is $21.75 for adults and $15.25 for children.Wh
    13·1 answer
  • What is the simplified form of 3abc divided by abc when abc does not equal zero
    8·1 answer
  • There are 6 horses in the barn what is the ratio of horse ears to horse feet
    10·2 answers
  • Susan began counting backwards from 1298 by 4's saying one number every 5 seconds. At the same time Jim begins counting forward
    13·1 answer
  • After studying the diagram shown, Michael makes the following conclusions: 1. DG = 3 and the area of square DEFG is 9. 2. AG = 4
    15·2 answers
  • Sharyn needs 3.5 yards of fabric to make a dress for herself and 2.25 yards of the same fabric to make a matching dress for her
    15·1 answer
  • Jameson pays $39.90 for 3.8 pounds of almonds. What is the price per pound of almonds? Record your answer and fill in the bubble
    12·2 answers
  • Which is greater -3/4 or -13/16​
    6·1 answer
  • Solve each equation for y 1. 7x-4y=0
    5·1 answer
  • ANother giveaway in one another condition is to sing 'I Want it that way by backstreet boys' ALL LYRICS
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!