Mathematics High School

(05.03)
Karma baked 48 cookies yesterday. Every hour, she bakes another batch of 12 cookies.

What is the rate of change for the scenario described?
4
12
60
48

Answers

Answer 1
if every hr she bakes 12 cookies, then ur rate of change is 12

Related Questions

Which expression gives the same result as ∑4i=0(5)(1/3)i?

Answers

The symbol, ∑ is a summation sign that drills us to sum the elements of a sequence. The variable of summation is represented by an index that is placed under the summation sign and is often embodied by i. The index is always equal to 1 and adopt values beginning with the value on the right hand side of the equation and finishing it with the value over head the summation sign. So in the expression ∑4i = 0(5)(1/3)i will be the same as:


∑4i = 0(5)(1/3)i

= (1/3)⁰ + (1/3)¹ + (1/3)² + (1/3)³ + (1/3)⁴ + (1/3)⁵

= 364/243


It means in the expression that the term 1/3 is added 5 times raising from a value of 0 until 5 and so you will have an answer of 364/243.

Joe the trainer has two solo workout plans that he offers his clients: Plan A and Plan
b. Each client does either one or the other (not both). On Monday there were 2 clients who did Plan A and 3 who did Plan
b. On Tuesday there were 4 clients who did Plan A and 8 who did Plan
b. Joe trained his Monday clients for a total of 7 hours and his Tuesday clients for a total of 17 hours. How long does each of the workout plans last?

Answers

Let workout Plan A last a hours, and Plan B last b hours.

we are assuming personal training for each client.

i)
"On Monday there were 2 clients who did Plan A and 3 who did Plan"

the total time spent is : 2*a + 3*b =2a+3b

ii)
"On Tuesday there were 4 clients who did Plan A and 8 who did Plan B"

the total time spent was 4*a+8*b=4a+8b

iii) "Joe trained his Monday clients for a total of 7 hours"

so 2a+3b = 7

iv)

"Joe trained his Tuesday clients for a total of 17 hours"

so 4a+8b=17

v) thus we have the following system of equations:

2a+3b = 7
4a+8b=17

multiply the first equation by -2, and then add both equations, to eliminate a:

-4a-6b=-14
4a+8b=17
-------------------
2b=3, so b=3/2

2a+3b = 7
2a+3(3/2)=7
2a+9/2=7
multiply by 2:
4a+9=14
4a=5
a=5/4

Answer :

Plan A lasts 5/4=1.25 h
Plan B lasts 3/2=1.5 h


1. A ladybug lands on the end of a pinwheel that is spinning at a steady speed. The equation y = –7 sin (0.4πx) + 11 gives the height of the ladybug y, in centimeters, above the ground x seconds after landing. What is the diameter of the pinwheel

Answers

That question isn't nearly as hard as they want it to be.  The "a" in the sin function is the altitude of the function...how high it goes up and how low it goes down.  The negative in front of the 7 just means that it starts going down before it goes up (a classic sine wave goes up and then down; the negative just reverses that).  From the wave's midpoint on the y axis, which is 11 (hence, the +11 in the equation), the wave goes up 7 (to a y value of 18) and then goes down 7 (to a y value of 4).  Because it goes up 7 and then down 7, the diameter of the pinwheel is 14. The sin wave mimics the round and round motion of the pinwheel.  You could have been able to tell that it was 14 just by looking at what the altitude was.  The altitude is always the number the wave goes up and down from its midpoint. 7 up and 7 down makes 14 altogether.

Use the graph below for this question:

graph of parabola going through negative 3, negative 3 and negative 4, negative 1.

What is the average rate of change from x = −3 to x = −4?

3
4
−3
−2

Answers

average rate of change is just the slope betwen the points
that is just the slope between (-3,-3) and (-4,-1)

slpe between (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)

so slope between (-3,-3) and (-4,-1) is (-1-(-3))/(-4-(-3))=(-1+3)/(-4+3)=2/-1=-2

the average rate of change is -2
I believe it's going to be -2

Which expression can be written as x + 4 = x^2? Assume x > 0

Answers

x+4=x^2
Root both sides
[tex] \sqrt{x+4} = \sqrt{x^{2} } [/tex]
Simplify the right side to get x.

Final answer: C

How do you solve equations for indicated variables?

ax+r=7
Solving for x?

Answers

You would subtract R from both sides so it would look like

ax=-r+7
then you would divide both sides by A
so then X = A/(-r+7)
and now you can plug in for A and R to solve

The solution is x = (7 - r) / a.

To solve the equation ax + r = 7 for x, follow these steps:

Subtract r from both sides of the equation:

ax + r - r = 7 - r

This simplifies to:

ax = 7 - r

Divide both sides by a:

x = (7 - r) / a

Substitute the value of x back into the original equation to ensure it is correct.

You invest $500 in an account with an annual interest rate of 1.1%, compounded continuously. How much money is in the account after 15 years? Round your answer to the nearest whole number.

Answers

The formula is
A=p e^rt
A future value?
P present value 500
E constant
R interest 0.011
T time 15 years
A=500×e^(0.011×15)
A=589.7


Kite DCFE is inscribed in circle A shown below:



If the measure of arc DEF is 266°, what is the measure of ∠DEF?
Numerical Answers Expected!

Answers

check the pictures below.

the arcDEF is the intercepted arc.

Answer:

133  degrees

Step-by-step explanation:

Given is a picture of a kite DCFE inscribed in circle A

The vertices of the kite D, C, E and F lie on the circle.

A is the centre.

Arc DEF = 266 degrees

This means the subtended angle of arc DEF at the centre = Angle DAF = 266

By theorem on circles, we have central angle of any arc is twice the angle subtended by the arc on the remaining part of the circumference

Hence

Angle DEF = 1/2 angle DAF

i.e. DEF =[tex]\frac{266}{2} =133[/tex]

133 degrees

Find the coordinates of point Q that lies along the directed line segment from R(-2, 4) to S(18, -6) and partitions the segment in the ratio of 3:7.
Please help!!

Answers

check the picture below

thus then

[tex]\bf \qquad \textit{internal division of a line segment}\\\\ R(-2,4)\qquad S(18,-6)\qquad ratio1=3\qquad ratio2=7\qquad 3:7\\ \quad \\ \quad \\ \cfrac{RQ}{QS}=\cfrac{ratio1}{ratio2}\implies \cfrac{R}{S}=\cfrac{3}{7} \implies 7R=3S \\\\\\ 7(-2,4)=3(18,-6)[/tex]

[tex]\bf {{ Q=\left(\cfrac{\textit{sum of "x" values}}{ratio1+ratio2}\quad ,\quad \cfrac{\textit{sum of "y" values}}{ratio1+ratio2}\right)}}\\ \quad \\ \qquad thus\qquad \\ \quad \\ Q=\left(\cfrac{(7\cdot -2)+(3\cdot 18)}{3+7}\quad ,\quad \cfrac{(7\cdot 4)+(3\cdot -6)}{3+7}\right)[/tex]

(05.05)On the coordinate plane below, what is the length of AB?

A coordinate plane is shown with the following points A at negative 9, 4; B at 5, 4; C at 5, negative 5; D at negative 9, negative 5. All points are connected to create a rectangle.

8 units
9 units
14 units
15 units

Answers

Point A(-9, 4) and point B(5, 4)

Notice that the two points have the same y-coordinate and this means, the line is horizontal from x = -9 and x = 5

Hence the length of AB is 14 units

Answer:

14 units

Step-by-step explanation:

both points have the same y-coordinate, so therefore, the line is horizontal from x = -9 and x = 5 9        (plus I did the 5.05 math quiz segment two 6th grade)

A spherical scoop of ice cream is placed on top of a hollow ice cream cone. the scoop and cone have the same radius. the ice cream melts completely and it fills the cone to the top. how many times greater is the height of the cone than the radius of the cone?

Answers

The figure shown below illustrates the problem.

The volume of the empty cone is
V₁ = (1/3) π r²h

The volume of the sphere is
V₂ = (4/3) π r³

Because the melted ice cream completely fills the cone, therefore
V₁ = V₂
(1/3) π r² h = (4/3) π r³
Divide each side by (1/3) π r².
h = 4r

Answer:
The height of the cone is 4 times greater than the radius f the cone.

WHICH ONE IS IT?////

Answers

The answer is:  [B]:  " (3.69/10) = 12/x " .
______________________________________________


Of five letters (a, b, c, d, and e), two letters are to be selected at random. how many possible selections are there

Answers

You can use C(5,2) which is [tex]5*4/2[/tex] which makes 10!

Write the sum using summation notation, assuming the suggested pattern continues.

2 - 12 + 72 - 432 + ...

Answers

Answer: [tex]\displaystyle \sum_{k=1}^{n}2(-6)^{k-1}[/tex]

The first term is a = 2. The common ratio is r = -6. You start off with 2 and multiply each term by -6 to get the next term. 

eg: 2*(-6) = -12 ---> -12*(-6) = 72 etc etc

If you want the series summation to go on forever, then replace the 'n' up top with the infinity symbol [tex]\infty [/tex]

Note: Because |r| < 1 is not true (r < 1 in this case), this means that the series diverges.

Answer:

[tex]\displaystyle \sum_{k=1}^{n}2(-6)^{k-1}[/tex]

Step-by-step explanation:

we have to write the sum using summation notation of the following series:

2-12+72-432+...

which could also be written as:

2+(-12)+72+(-432)+...

We observe that first term=2

second term=2×-6

Third term=2×-6×-6

Fourth term=2×-6×-6×-6

nth term=[tex]2\times (-6)^{n-1}[/tex]

Hence, the series sum=   [tex]\displaystyle \sum_{k=1}^{n}2(-6)^{k-1}[/tex]

Prism M and pyramid N have the same base area and the same height. Cylinder P and prism Q have the same height and the same base perimeter. cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y. Which two figures have the same volume?
Choices:
Prism M
Cylinder p
Cone Z
And
Pyramid N
Prism Q
Cylinder Y

Answers

V=1/3*π*R²*H
Сone Z and Cylinder Y have the same volume. 

________ probability is used when we know the number of possible outcomes of the event of interest and the total number of possible outcomes in the sample space.

Answers

The answer in the blank is classical.

Determine the slope and y-intercept of the line.
y =  5x + 4

a.
Slope = 4, y-intercept is (0, 5)
c.
Slope =  5, y-intercept is (0, 4)
b.
Slope = -5, y-intercept is (0, 4)
d.
Slope =  4, y-intercept is (0, -5)




 

Please select the best answer from the choices provided

A
B
C
D

Answers

The answer is C. Slope = 5, y-intercept is (0,4)

If a car is $27,000 and loses 15% of its value each year what will be the value in 5 years

Answers

$27,000

10%- $2,700.
5%- $1,350.

$2,700+ $1,350 = $4,050.

$4,050 × 5 = $20,250.

$27,000 - $20,250 = $6,750.

the value will be $6,750.

The distance between points (3, 7) and (x1, y1) is the square root of (x1 - 3)2 + (y1 - 7)2. True or false?

Answers

The answer is True because the distance formula is √(x2-x1)²+(y2-y1)²

TRUE

Answer:

True

Step-by-step explanation:

By the distance formula,

The distance between two points [tex](a_1, b_1)[/tex] and [tex](a_2, b_2)[/tex] is,

[tex]d=\sqrt{(a_2-a_1)^2+(b_2-b_1)^2}[/tex]

Here, [tex]a_1=3[/tex], [tex]b_1=7[/tex], [tex]a_2=x_1[/tex] and [tex]b_2=y_1[/tex]

Thus, the distance would be,

[tex]d=\sqrt{(x_1-3)^2+(y_1-7)^2}[/tex]

= the square root of [tex](x_1 - 3)^2 + (y_1 - 7)^2[/tex]

How to factor out the greatest common factor in a polynomial?

Answers

Hello,

To find something COMMON, we must at least have 2 things!

So , we can find the greatest common factor of 2 polynomials!

Final answer:

To factor out the GCF in a polynomial, identify the highest common factor, write it outside the parentheses, divide each term by the GCF, and write the quotients inside the parentheses.

Explanation:

To factor out the greatest common factor (GCF) in a polynomial, follow these steps:

First, identify the highest common factor that is present in each term of the polynomial.Write down this factor outside of a set of parentheses.Divide each term of the polynomial by the GCF, and place the resulting quotient inside the parentheses. This step can be seen as dividing both sides by the same factor to turn polynomial terms into integers, if that is easier to understand.Check your answer to see if it simplifies further and whether it is reasonable.

For example, for the polynomial 6x³ + 9x², the GCF is 3x2. Factoring out the GCF gives us:

3x²(2x + 3)

The products inside the parentheses are the result of dividing the original terms by the GCF. Remember, by finding the GCF, we simplify the algebra and may check the work by expanding the factored form back out to verify it equals the original polynomial.

K is the midpoint of line segment lm. the coordinates of k are (5, 12) and the coordinates of l are (2, 6), find the coordinates of m.

Answers

midpoint (K) is (5,12)

L = (2,6)
M = (x2,y2)

midpoint = (x1 + x2)/2 , (y1 + y2) / 2
m = (2 + x2) / 2 , (6 + y2)/2

(2 + x) / 2 = 5
2 + x = 5 * 2
2 + x = 10
x = 10 - 2
x = 8

(6 + y) / 2 = 12
6 + y = 12 * 2
6 + y = 24
y = 24 - 6
y = 18

so M = (8,18) <==

Use the pythagorean theorem to find the distance between x(7,11) and y(-1,5)..

Answers

so, if the legs are a and b and the hypothuse is c then
a²+b²=c²

the distance bewteen the points is the hyptohuse

the legs are the distances between th x and y values

so
(7,11) and (-1,5)
distances between the x values are 1 leg
that is from 7 and -1, a distance of 8 units

distances betweeen the y values are the other leg
that is from 11 to 5
that is 6 units

a²+b²=c²
8²+6²=c²
64+36=c²
100=c²
sqrt both sides
10=c
the distance between them is 10 units

A junior basketball has a diameter of approximately 7 in., and a regulation basketball has a diameter of approximately 9.5 in. about how many times as great is the volume of the regulation basketball as the volume of the junior basketball?

Answers

scale factor  = 9.5 / 7
the ratio of the volumes will be 9.5^3 / 7^3

=  2.5  to nearest thousandth

So the volume the regulation ball is  2.5 times the volume of the junior one.

given that (6,-8) is on graph f(x), find the corresponding point for the function f(-1/2x)

Answers

Set the argument -1/2x equal to the x coordinate of the given point 6. Solve for x

-1/2x = 6
x = 6(-2)
x = -12

So x = -12 makes the equation -1/2x = 6 true. 

If we plug x = -12 into f(-1/2x) we get f(6)

Since we know that (6,-8) is on the graph of f(x), we know that (-12,-8) is on the graph of f(-1/2x)

What happens is that there's a reflection over the y axis (due to the minus sign in -1/2x) and there's a horizontal stretch by a factor of 2. So the graph of f(-1/2x) appears to be wider than f(x).

In summary, the final answer is (-12,-8)

Write the equation in vertex form

f (x)= x^2-10x+16

Answers

You complete the square. There is actually a trick to it. If everything is on the same side, you make x^2-10x into (x-5)^2. You divide b/2 and insert that into the perfect square. You then subtract 25 because FOIL tells you that you need to add 25 when in fact you subtract 25 because you are on the same side. 

In final terms, it becomes (x-5)^2+16-25=(x-5)^2-9.

50 POINTS!!!!!!!!!
Find a number that is between 7/11 and 0.75, theres a line on top of 75
77/99
23/33
25/44
76/99

To convert 0.9 to a fraction, Lauren wrote n=0.9 as her first step. For her second step, what should she multiply both sides of that equation by?
10
100
1000
10000

Which number is between 1/7 and 0.2 ?
9/35
6/35
2/9
1/9

Which fraction shows 5.2 as the quotient of two integers?
11/2
21/5
26/5
51/10

Answers

22/33, 10, 6/35, 26/5 is your answers in order from top to bottom.
1) 25 / 44
2) 10
3) 6 / 35
4) 26 / 5

URGENT!!

what is this graph considered:
A: Bimodal Skewed
B: Bimodal Symmetric
C: Unimodal Skewed
D:Uniform
E: Unimodal Symmetric

Answers

I think the correct answer would be B. The graph in the attached image would most likely be described as a bimodal symmetric. A bimodal graph would be a graph which has two peaks. From the image, we have 3 peaks so it should be a multimodal but it is not in the choices the closest would be a bimodal one. Each group of the peak shows a symmetrical distribution since the left side and the right side are almost mirrors of each other which is seen for all the three peaks. So, the graph should be a bimodal symmetric distribution.

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. −6y2 − 9y = −1

Answers

[tex]-6y^2 - 9y = -1 [/tex]

[tex]y= \dfrac{-9+ \sqrt{9^2-4*-6} }{2*6}, \dfrac{-9-\sqrt{9^2-4*-6}}{2*6} [/tex]


[tex]y= \dfrac{-9+ \sqrt{105} }{12}, \dfrac{-9- \sqrt{105} }{12} [/tex]

Assume the birth of a boy or a girl is equally likely. The probability that a single child is born a girl is 1/2. What is the probability that the next child born to the same familiy will also be a girl?

Answers

for both children to be girls, the probability is 1/4

probability is 1/4 (b)

Step-by-step explanation:

What is the answer to this?

Answers

Hello there!

5/8 = x+7/ 2
We need to start by doing cross multiply
(8)(2) = (x+7)*5
16 = 5x + 35
5x = 35 - 16
5x =-19
x = -19/5

The correct answer is -19/5

--------------------------------------------------------------------------
The mistake is easy to see.
Instead of doing 35 - 16 { they did 35+16 which is wrong because you are transferring 16 to the opposite so you must change the positive sign as well.}

I hope that helps, please let me know if you have further questions about my answer.
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