Cecelia studied for the SAT for 20 minutes every day in the first week, 30 minutes in the second week, 40 minutes in the third week, and 50 minutes in the fourth week.

Christopher studied for the SAT for 5 minutes every day in the first week, 10 minutes in the second week, 20 minutes in the third week, and 40 minutes in the fourth week.

Which statement best describes the methods used by Cecelia and Christopher to increase the time they spent studying?

A. Cecelia's method is exponential because the number of minutes increased by an equal number every week.

B. Christopher's method is exponential because the number of minutes increased by an equal factor every week.

C. Both Christopher's and Cecelia's methods are linear because the number of minutes increased by an equal factor every week.

D. Both Christopher's and Cecelia's methods are linear because the number of minutes increased by an equal number every week.

Answer:

Two lines are shown intersecting on ordered pair 3, 7.

Step-by-step explanation:

The first of the two lines has a slope of -4 and a y-intercept of 19 (off the top of the graph). It will decrease 4 units for each 1 unit to the right.

The second of the two lines has a slope of +2 and a y-intercept of +1. It will increase 2 units for each 1 unit to the right.

These two lines must intersect in the first quadrant at a point with an x-value less than 5, eliminating the first and last two choices, leaving only the second choice you have listed here.

You would have to examine the graphs to see which has the lines with proper slope and intercept.

My graphing calculator's solution is attached.

two lines are shown intersecting on ordered pair 3, 7.

Answer:

D

Step-by-step explanation:

Don't be scared off by this problem. Just read the numbers.

Those A + = 264

Those RH- = 111

The total = 375

Total of everyone typed is 740

Probability = 375 / 740 = 0.50675

Probability = 0.507 to the nearest thousandth.

Answer:

C

Step-by-step explanation:

y=x is a line that has slope 1 meaning it go ups (increases) from left to right.

So that puts us at choice A or C.

Both A or C differ by the numerator for the other function.

We can find the x-intercept for A and C by setting the numerator equal to 0 and solving for x.

Let's do that:

A:  -x-10=0                           C.  -x+10=0

     -x=10                                    -x=-10

      x=-10                                    x=10

A says x-intercept -10

C says x-intercept 10

Your graph intercepts the x-axis at 10 so the answer is C.

Answer:

A

120

Step-by-step explanation:

With all the parallel lines involved, the central figure is a parallelogram.  These 4 sided figures have the odd property of having their opposite angles equal.

What that means, in plain English is that <NRL = <NML

Both of these angles = 120

Here's the cruncher. <NRL and <PRK are vertically opposite. They are therefore equal.

The answer to your question is 120 which is A

the answer is A good luck !

Answer:

b

Step-by-step explanation:

Answer:

the middle set of points

Step-by-step explanation:

A translation < 3, - 4 > means add 3 to the x- coordinate and subtract 4 from the y- coordinate.

Under a reflection in the x- axis

a point (x, y ) → (x, - y )

Hence

X(0, - 2) → X'(0 + 3, - 2 - 4) → X'(3, - 6) → X''(3, 6)

Y(1, 4) → Y'(1 + 3, 4 - 4) → Y'(4, 0) → Y''(4, 0)

Z(5, 3) → Z' (5 + 3, 3 - 4) → Z'(8, - 1) → Z''(8, 1 )

Answer:

I believe it is SSS

Step-by-step explanation:

because all the sides are exactly the same length

Answer:

: ) It be gud song.

Step-by-step explanation:

Answer:

d.

Step-by-step explanation:

The goal of course is to solve for x.  Right now there are 2 of them, one on each side of the equals sign, and they are both in exponential positions.  We have to get them out of that position.  The way we do that is by taking the natural log of both sides.  The power rule then says we can move the exponents down in front.

[tex]ln(2^x)=ln(3^{x+1})[/tex] becomes, after following the power rule:

x ln(2) = (x + 1) ln(3).  We will distribute on the right side to get

x ln(2) = x ln(3) + 1 ln(3).  The goal is to solve for x, so we will get both of them on the same side:

x ln(2) - x ln(3) = ln(3).  We can now factor out the common x on the left to get:

x(ln2 - ln3) = ln3.  The rule that "undoes" that division is the quotient rule backwards.  Before that was a subtraction problem it was a division, so we put it back that way and get:

[tex]x(\frac{ln(2)}{ln(3)})=ln(3)[/tex].  We can factor out the ln from the left to simplify a bit:

[tex]x[ln(\frac{2}{3})]=ln(3)[/tex].  Divide both sides by ln(2/3) to get the x all alone:

[tex]x=\frac{ln(3)}{ln(\frac{2}{3}) }[/tex]

On your calculator, you will find that this is approximately -2.709

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

The Answer is 7.88

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

Answer:

The answer here would be 7.88

Hope this helps!

Her first visit and follow up 60 mins + 30 mins

The limit is 8 follow ups per day

The hospital has 8 hrs available for appointments

Her first visit cost $120 (60 mins) as her follow up was $70 (30 mins)

X = Visits

Y = Follow-ups

And since her first visit and follow up equals to an hour and 30 mins, meaning for it to all add up into the 8 hrs for the appointment, it'll be... 1 hr, 30 mins/ 3 hrs/ 4 hrs, 30 mins/ 6 hrs/ 7 hrs, 30 mins/ 9 hrs

Eight hours is the limit so that means it equals to 5 visits and 6 follow ups, due to if you want it to be the whole 8 hours.

Claude is so Brainy his brain's nickname is Brainly

Answer:

Random Sampling

Step-by-step explanation:

Random sampling is when people are chose at random from a population.

Population is the chits that have been put up on the dart board.

Blindly throwing darts to select 5 names is selecting randomly. In this case, there will be no bias involved in it as names are chosen blindly.

!!

Answer: Random sampling method.

Step-by-step explanation:

A random sampling is a sampling technique in which a researcher randomly picks participants for the sample such that the chances for each participants to get selected is equal.

Given : In a study, the sample is chosen by putting people's names on a dartboard, and blindly throwing darts to select 5 names.

Here , the probability to throw dart on any any name is equal because they throwing it blindly.

Thus, this sampling method is a random sampling method.

Answer:

$50/day

Step-by-step explanation:

If 90% of 150 beds are occupied, the .90 × 150 are occupied, or 135 beds.  The total expenses for ALL the residents for the month is 202,500.  We need the cost per day for all the residents, then when we know that we can find the cost per day of one resident.

202,500 ÷ 30 = $6750 for one day for ALL residents

$6750 ÷ 135 = $50 for one day for a single resident

To find the average cost per resident per day for a facility with an average 90% occupancy rate, multiply the number of beds by the occupancy rate to find the average daily occupancy, then multiply by the number of days in the month to get total resident-days. Finally, divide the total monthly expenses by the total resident-days to get the average daily cost per resident.

To calculate the average cost per resident per day in a 150 bed facility with a 90% average occupancy rate over a 30-day month with total expenses of $202,500, we can follow these steps:

So, first we find the average number of occupied beds per day:
150 beds × 90% = 135 occupied beds per day.

Next, we calculate the total number of resident-days for the month:
135 occupied beds × 30 days = 4050 resident-days.

Finally, we find the average cost per resident per day:
$202,500 total expenses ÷ 4050 resident-days = $50 per resident per day.

https://brainly.com/question/37569836

#SPJ2

Answer:

6 hours and 40 minutes

Step-by-step explanation:

10 taps = 4 hours

( ÷ 10 )         ( × 10 )

1 taps = 40 hours

( × 6 )       ( ÷ 6 )

6 taps = 6.66666666667 hours / 400 minutes

Final answer:

To fill an aquarium initially using 10 taps in 4 hours, using 6 taps would take 6 hours and 40 minutes.

Explanation:

The time it takes to fill the aquarium initially can be calculated by:

Determine the rate of filling using all 10 taps: 1/4 of the aquarium per hour (as 4 hours to fill).

Calculate the rate using 6 taps: 6/10 of the original rate.

Divide the time taken initially (4 hours) by the reduced rate to find the new time.

Therefore, the time it would take to fill the aquarium using only 6 taps is 6.67 hours or 6 hours and 40 minutes.

Answer:

-2

Step-by-step explanation:

-3x -2 = 2x +8

-2 = 5x +8 . . . . . . add 3x

-10 = 5x . . . . . . . . subtract 8

-2 = x . . . . . . . . . . divide by 5

Answer:

-2

Step-by-step explanation:

-3x-2=2x+8 subtract 2x to both sides

-5x-2=8 add 2 to both sides

-5x=10 divide by -5

answer is -2

Answer:

The fraction is 7/10 and the decimal is 0.7

Step-by-step explanation:

Each incriment represents 1/10, or 0.1.

Answer:

Decimal: 0.7

Fraction: Simplified - 7/10 ; Non-simplified: 70/100

Step-by-step explanation:

There are 9 dashes in-between 0 & 1, meaning that each dash signifies 0.1, and that you are adding 0.1 each time.

The dot is located 7 dashes away from 0. Multiply 7 with 0.1

7 x 0.1 = 0.7

0.7 is your decimal answer.

Change the decimal to a fraction. To do so, move the decimal point to the right two place values and put it over 100. Add 0's if needed.

0.7 = 70/100

As it does not specify you have to simplify, put 70/100. HOWEVER, if it says you have to simplify, simplify. Divide common factors from both the numerator & denominator:

(70/100)/(10/10) = 7/10

7/10 is your simplified fraction. 70/100 is your non-simplified fraction.

~

Answer:

64 sq feet

Step-by-step explanation:

Given:

Rectangle Length = 10 feet

Rectangle Width = 6 feet

Triangle Base = 4 feet

Triangle Height = 2 feet

Area of rectangle = Length x Width = 10 x 6 = 60 sq feet

Area of triangle = [tex]\frac{1}{2}[/tex] x Base x Height = [tex]\frac{1}{2}[/tex] x 4 x 2 = 4 sq feet

Total area

= Area of Rectangle + Area of Triangle

= 60 + 4 = 64 sq feet

Answer:

64 ft^2

Step-by-step explanation:

The rectangular area is 10 ft by 6 ft, which comes to 60 ft².

The triangular area is A = (1/2)(base)(height) = (1/2)(4 ft)(2 ft) = 4 ft²  

The total area of tile will be 4 ft² + 60 ft², or 64 ft².

Answer:

The transformation moves the graph of the function up 5 units

Step-by-step explanation:

If we have a function f(x) then the transformation

[tex]g (x) = f (x) + c[/tex]  vertically shifts the graph of f(x) c units

If [tex]c> 0[/tex] the graph moves c units up

If [tex]c <0[/tex] the graph moves c units down

In this case the main function is [tex]f (x) = x ^ 2[/tex]

and [tex]g (x) = f (x) + 5 = x ^ 2 +5[/tex]

Therefore the transformation moves the graph of the function up 5 units

ANSWER

[tex]y = {x}^{2} + 5[/tex]

EXPLANATION

The given function is

[tex]y = {x}^{2} + 5[/tex]

The base of this function is

[tex]f(x) = {x}^{2} [/tex]

The translation is of the form.

[tex]y = f(x) + k[/tex]

where k is a vertical translation k units up.

[tex]y = {x}^{2} + 5[/tex]

Therefore the translation is a shift up by 5 units.

Answer:

[tex]\displaystyle \sin{\frac{\theta}{2}} = \frac{5\sqrt{26}}{26}\approx 0.196[/tex].

Step-by-step explanation:

[tex]\displaystyle \theta\in \left(\pi, \frac{3\pi}{2}\right)[/tex],

such that

[tex]\displaystyle \frac{\theta}{2} \in \left(\frac{\pi}{2}, \frac{3\pi}{4}\right)[/tex].

As a result,

[tex]\displaystyle \tan{\frac{\theta}{2}} = \frac{\sin{\displaystyle \frac{\theta}{2}}}{\displaystyle \cos{\frac{\theta}{2}}}[/tex],

such that

Let

[tex]\displaystyle t = \tan{\frac{\theta}{2}}[/tex].

[tex]t < 0[/tex].

By the double angle identity for tangents.

[tex]\displaystyle \frac{\displaystyle 2\tan{\frac{\theta}{2}}}{1-\displaystyle \left(\tan{\frac{\theta}{2}}\right)^{2}} = \tan{\theta}[/tex].

[tex]\displaystyle \frac{2t}{1 - t^{2}} = \frac{5}{12}[/tex].

[tex]24t = 5 - 5t^{2}[/tex].

Solve this quadratic equation for [tex]t[/tex]:

Discard [tex]t_1[/tex] for it is not smaller than zero.

Let [tex]\displaystyle s = \sin{\frac{\theta}{2}}[/tex].

[tex]0 < s <1[/tex].

By the definition of tangents:

[tex]\displaystyle \tan{\frac{\theta}{2}} = \frac{\displaystyle \sin{\frac{\theta}{2}}}{\displaystyle \cos{\frac{\theta}{2}}}[/tex].

Apply the Pythagorean Algorithm to express the cosine of [tex]\displaystyle \frac{\theta}{2}[/tex] in terms of [tex]s[/tex]. Note that [tex]\displaystyle \cos{\frac{\theta}{2}}[/tex] is expected to be smaller than zero.

[tex]\displaystyle \cos{\frac{\theta}{2}} = -\sqrt{1 - \left(\sin{\frac{\theta}{2}}\right)^{2}}= - \sqrt{1 - s^{2}}[/tex].

Solve for [tex]s[/tex]:

[tex]\displaystyle \frac{s}{- \sqrt{1 - s^{2}}} = -5[/tex].

[tex]s^{2} =25(1 - s^{2})[/tex].

[tex]\displaystyle s = \sqrt{\frac{25}{26}} = \frac{5\sqrt{26}}{26}[/tex].

Therefore

[tex]\displaystyle \sin{\frac{\theta}{2}} = \frac{5\sqrt{26}}{26}\approx 0.196[/tex].

Answer:

10/3

Step-by-step explanation:

|x+3|=4x-7

So |-(x+3)|=|x+3|

We are going to try out two cases:

-(x+3)=4x-7                              and    x+3=4x-7

-x-3=4x-7                                               3=3x-7

 -3=5x-7                                               10=3x

  4=5x                                                   x=10/3

  x=4/5

We are going to test out both because we could something that isn't actually a solution, this is called extraneous.

First thing I'm going to check is 4x-7 for it being positive.

4(4/5)-7=20/5-7=-15/5=-3 so 4/5 will not work because absolute value result can't be negative

4(10/3)-7=40/3-7=19/3 which is positive

checking |x+3| to see if is 19/3 for x=10/3 we see that is so that is the answer

Answer:

A.) 19.5

Step-by-step explanation:

Answer: P = 19,571.42857142857

Step-by-step explanation:

Plug in the variables.

5480 = x(.04)(7)

.04*7=.28

5480=.28x

.28x/.28=x

5480/.28=19,571.42857142857

19,571.42857142857(.04)(7)=5480

P = 19,571.42857142857

Answer:

19571.43

Step-by-step explanation:

We are asked to solve for P using formula [tex]I=Prt[/tex], when [tex]I=5480; r=0.04\text{ and }t=7[/tex].

Upon substituting our given values in simple interest formula, we will get:

[tex]5480=P*0.04*7[/tex]

[tex]5480=P*0.28[/tex]

Switch sides:

[tex]P*0.28=5480[/tex]

Now, we will divide both sides of our given equation by 0.28 as:

[tex]\frac{P*0.28}{0.28}=\frac{5480}{0.28}[/tex]

[tex]P=19571.42857[/tex]

[tex]P\approx 19571.43[/tex]

Therefore, the principal amount (P) is approximately 19571.43.

Answer:

56

Step-by-step explanation:

By tracing the lines on the tree diagram, we see the probability of both being red is 0.5 × 0.6 = 0.3.

The probability of both being blue is 0.5 × 0.4 = 0.2.

So we would expect to get both blue 2/3 of the times we get both red.

X = 2/3 (84)

X = 56

Answer:

Option D.  18.75 cm3

Step-by-step explanation:

we know that

The Boyle's law (Ideal gas law) states that Where temperature remains constant, the pressure is inversely proportional to volume.

so

[tex]P1 *V1 = P2 *V2[/tex]  

In this problem we have

P1=150 kPa

P2=200 kPa

V1=25 cm³

substitute and solve for V2

[tex](150)(25)= 200*V2[/tex]

[tex]V2=(150)(25)/200=18.75\ cm^{3}[/tex]    

Answer:

Option D.  18.75 cm3

Step-by-step explanation:

MARK ME PLS

[tex]\bf \stackrel{\textit{rate}}{\cfrac{~~\frac{2}{3}~~}{\frac{1}{2}}\cfrac{ft^2}{hr}}\implies \cfrac{2}{3}\cdot \cfrac{2}{1}\implies \cfrac{4}{3}\implies 1\frac{1}{3}\frac{ft^2}{hr}[/tex]

The best and most correct answer among the choices provided by the question is 3.) radius. Hope this helps :)

Answer:

3.radius.

Step-by-step explanation:

The area of a circle is the space enclosed by the circle.

The circumference is the total length of the circle when stretched.

The diameter is a line that divides the circle into 2 halves or semicircles.

The radius of a circle is the line drawn from the center of the circle to any part of the circumference or any point on the circle.

The right answer is 3.radius.

Answer:

257 ft

Step-by-step explanation:

You know based upon soh that sin=opp/hyp

So drawing a right triangle with a hypotenuse of 400 ft and an angle of 40° with the ground, you can see that sin40=x/400

Multiply both sides to find your x value or height which is 257.

Answer: 6 pounds of apples

Step-by-step explanation:

See photo attached. (:

Answer:

Step-by-step explanation:

The point of a fraction is to express the size of something that has been divided into a number of parts equal to the denominator. For example, 1/3 represents the amount when 1 unit is divided into 3 parts.

Here, Julia has 108 that she wants to divide into x parts. The fraction 108/x will tell the size of each part.

__

When x=12, the fraction becomes 108/12 = 9/1 = 9. Each friend gets 9 sand dollars.

Answer:

C.

Step-by-step explanation:

[tex]\cos x+\sqrt{2}=-\cos x \\ 2\cos x = -\sqrt 2 \\ \cos x = -\dfrac{\sqrt 2}{2}\\ \\ \Rightarrow x = \pm \arccos\Big(-\dfrac{\sqrt 2}{2}\Big)+2k\pi,\quad x\in \mathbb{Z}\\ \Rightarrow x =\pm\dfrac{3\pi}{4}+2k\pi\\ \\ \\k = -1 \Rightarrow x < 0\\\\ k=0 \Rightarrow x<0 \quad \text{or}\quad \boxed{x = \dfrac{3\pi}{4}} \\ \\k = 1 \Rightarrow x=-\dfrac{3\pi}{4}+2\pi \Rightarrow \boxed{x= \dfrac{5\pi}{4}}\quad \text{or}\quad x > 2\pi[/tex]

Answer:

C

Step-by-step explanation:

Given

cos x + [tex]\sqrt{2}[/tex] = - cosx ( add cosx to both sides )

2cosx +[tex]\sqrt{2}[/tex] = 0 (subtract [tex]\sqrt{2}[/tex] from both sides )

2cosx = - [tex]\sqrt{2}[/tex] ( divide both sides by 2 )

cosx = - [tex]\frac{\sqrt{2} }{2}[/tex]

Since cosx < 0 then x is in the second/ third quadrant

x = [tex]cos^{-1}[/tex] ( [tex]\frac{\sqrt{2} }{2}[/tex] )

  = [tex]\frac{\pi }{4}[/tex] ← related acute angle

Hence

x = π - [tex]\frac{\pi }{4}[/tex] = [tex]\frac{3\pi }{4}[/tex] ← second quadrant

or

x = π + [tex]\frac{\pi }{4}[/tex] = [tex]\frac{5\pi }{4}[/tex] ← third quadrant