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Greg made pudding every weekend. The more times he made pudding, the more practice he gained. The time he took to make the same amount of pudding every week decreased with practice. The function below shows the number of hours f(x) Greg took to make pudding after he had made it x times: f(x) = 2(0.8)x Which graph best represents the function? graph of function f of x equals 0.8 multiplied by 2 to the power of x graph of function f of x equals 0.8 to the power of x graph of function f of x equals 2 to the power of x function of f of x equal 2 multiplied by 0.8 to the power of x

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After Greg makes the pudding 1 time, it takes him f(1)=2(0.8) ^{1}=1.6 hours to make it.

After Greg makes the pudding 2 times, it takes him f(2)=2(0.8) ^{2}=1.28 hours to make it

After Greg makes the pudding 2 times, it takes him f(3)=2(0.8) ^{3}=1.024 hours to make it

so The function is f(x)=2(0.8) ^{x}

Answer: f of x equals 2 multiplied by 0.8 to the power of x

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Jordan wants to solve the following system using the elimination method: 2x + 3y = 10 x + y = 7 What number should the equation x + y = 7 be multiplied by to eliminate y? (4 points)

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Jordan wants to solve the following system using the elimination method: 2x + 3y = 10 x + y = 7 What number should the equation x + y = 7 be multiplied by to eliminate y? (4 points)

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Imagine tossing a coin: What are your chances for tossing a head? What are your chances for tossing a tail? A coin is tossed 10 times: How many times do you expect to get heads? How many times do you expect to get tails? Using this data for the 10 coin tosses, calculate and record the deviation observed from what you expected using the following formula: The more the experimental results deviate from the expected results, the more the deviation value will approach the value of 1.0. As your results get closer to the expected results, the deviation is smaller and nears the value of 0.0. Interpret the meaning of the deviation value you obtained. A coin is tossed 100 times: How many times do you expect to get heads? How many times do you expect to get tails? Using this data for 100 coin tosses: Calculate the deviation for the 100 tosses. The 100 coin tosses are repeated. The results are added to the results of the first 100 coin tosses. How many times do you expect to get heads out of the 200 tosses? How many times do you expect to get tails out of the 200 tosses? Using this data for the 200 coin tosses: What is the deviation for the 200 tosses? How does increasing the total number of coin tosses from 10 to 100 affect the deviation? How does increasing the total number of tosses from 100 to 200 (or more) affect the deviation? What two important probability principles were established in this exercise? With two coins, both coins are tossed 100 times. How many times do you expect to get 2 heads? How many times do you expect to get 2 tails? How many times do you expect to get one head and one tail? The percent of occurrence is the obtained results divided by the total tosses and multiplied by 100. Using this data for the two coins being tossed 100 times. Calculate the percent occurrence for each combination: What is the percent of occurrence for two heads? What is the percent of occurrence for two tails? What is the percent of occurrence for one head and one tail?

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Answer:

The correct answer is a. Amy: wildlife in or near water = turtles, crayfish, goldfish non-water wildlife = fox, deer, bobcat.

Explanation:

According to the question students were asked to contrast their observations based on the location so according to the location, animals should be differentiated into water animals and land animals.

So turtles, crayfish, goldfish are the wildlife found in or near the water and fox, deer, bobcat are non-water animals according to their location. Therefore the correct answer is a. Amy: wildlife in or near water = turtles, crayfish, goldfish non-water wildlife = fox, deer, bobcat.

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If matrix A has dimensions 3 x 2 and matrix B has dimensions 3 x 2, can matrix A and matrix B be multiplied?

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Answer:

we can not multiply matrix A and B.

Step-by-step explanation:

We have been given that

dimension of matrix A = 3 x 2

dimension of matrix B = 3 x 2

Rule of multiplying two matrices:

Two matrix can be multiplied if the column of first matrix is equal to the row of second matrix.

column of first matrix = row of second matrix

Here, we have

Column of first matrix A = 2

Row of second matrix b = 3

Since,, column of matrix A ≠ Row of matrix B

Hence, we can not multiply matrix A and B.

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Which statement explains why 49 is a perfect square? 49 can be multiplied by 49. 49 is equal to 7 plus 7. 49 is between 36 and 64. 49 is equal to 7 times 7.

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The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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Pieces of DNA left at a crime scene can be multiplied by using

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Pieces of DNA left at a crime scene can be multiplied by using

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Give an example how to convert $8.50 multiplied by 8 equal 68

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The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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Which numbers should be multiplied to obtain 165^2 − 123^2? a. 42 and 42 b. 42 and 288 c. 1,764 and 1,764 d. 4,202 and 4,248

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Answer:

Option C – BD=76 cm

Step-by-step explanation:

Given : You are designing a diamond-shaped kite. you know that AD = 44.8 cm, DC = 72 cm, and AC = 84.8 cm.

To find : How long BD should it be?

Solution :

First we draw a rough diagram.

The given sides were AD = 44.8 cm, DC = 72 cm and AC = 84.8 cm.

According to properties of kite

Two disjoint pairs of consecutive sides are congruent.

So, AD=AB=44.8 cm

DC=BC=72 cm

The diagonals are perpendicular.

So, AC ⊥ BD

Let O be the point where diagonal intersect let let the partition be x and y.

AC= AO+OC

AC=  x+y=84.8 …….[1]

Perpendicular bisect the diagonal BD into equal parts let it be z.

BD=BO+OD

BD=z+z

Applying Pythagorean theorem in ΔAOD

where H=AD=44.8 ,P= AO=x , B=OD=z

H^2=P^2+B^2

(44.8)^2=x^2+z^2  ………[2]

Applying Pythagorean theorem in ΔCOD

where H=DC=72 ,P= OC=y , B=OD=z

H^2=P^2+B^2

(72)^2=y^2+z^2 …………[3]

Subtract [2] and [3]

(72)^2-(44.8)^2=y^2+z^2-x^2-z^2

5184-2007.04=(x+y)(x-y)

3176.96=(84.8)(x-y)

37.464=x-y ……….[4]

Add equation [1] and [4], to get values of x and y

x+y+x-y=84.8+37.464

2x=122.264

x=61.132

Substitute x in [1]

x+y=84.8

61.132+y=84.8

y=23.668

Substitute value of x in equation [2], to get z

(44.8)^2=x^2+z^2

(44.8)^2=(23.668)^2+z^2

2007.04-560.174224=z^2

z=sqrt{1446.865776}

z=38.06

We know, BD=z+z

BD= 38.06+38.06

BD= 76.12

Nearest to whole number BD=76 cm

Therefore, Option c – BD=76 cm is correct.

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Tess created a Pythagorean triple of (24, 32, 40) by multiplying the known Pythagorean triple 3, 4, and 5 by 8. Is Tess correct? Can a Pythagorean triple be created using multiplies of a known Pythagorean triple. Yes, as long as each number in the Pythagorean triple is multiplied by the same whole number. Yes, as long as each number in the Pythagorean triple is multiplied by a different whole number. No, Pythagorean triples only exist with small numbers. No, multiplying a known Pythagorean triple by a whole number will not create a Pythagorean triple.

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Answer:

B. Graph of line going through 1, 7 and 2, 12

Step-by-step explanation:

Given : Ella  started with 2 cats

            Her center has an increase of 5 cats per year.

Solution : let x denotes the no. of years

So, every year increase of no. of cats is 5x .

And initially she had two cats .

So, every year no. hats she have (y) : 2+5x

Thus , y = 5x+2 is the required equation

comparing this equation with general form of equation of line i.e. y = mx +c

⇒ m = 5 (Slope of line )

in each option we are given two points

So, this m need to be calculated by formula of  slope of two point line equation i.e.

m=frac{y_{2} -y_{1} }{x_{2} -x_{1} }

if we use points of option second then :

frac{12-7}{2-1} =m

5 = m

So, we are getting the same value of m which we got after compairing the equations .

hence,  graph of line going through 1, 7 and 2, 12 is the correct one

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What is the solution to the equation 1 over 21 multiplied by x is equal to 1 over 7? x = 3 x = 14 x = 28 x = 147 The cost of 2 bottles of ketchup is $7.96. What is the cost of each bottle of ketchup? $1.64 $2.65 $3.98 $5.96 An unknown number x is at most 20. Which graph best represents all the values of x? Number line graph with closed circle on 20 and shading to the right. Number line graph with open circle on 20 and shading to the right Number line graph with closed circle on 20 and shading to the left. Number line graph with open circle on 20 and shading to the left

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What is the solution to the equation 1 over 21 multiplied by x is equal to 1 over 7? x = 3 x = 14 x = 28 x = 147 The cost of 2 bottles of ketchup is $7.96. What is the cost of each bottle of ketchup? $1.64 $2.65 $3.98 $5.96 An unknown number x is at most 20. Which graph best represents all the values of x? Number line graph with closed circle on 20 and shading to the right. Number line graph with open circle on 20 and shading to the right Number line graph with closed circle on 20 and shading to the left. Number line graph with open circle on 20 and shading to the left

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What is the simplified expression for 5 to the power of negative 3 multiplied by 2 to the power of 2 multiplied by 5 to the power of 6 whole over 2 to the power of 3 multiplied by 5 to the power of 2?

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Anyway… check the picture below

the circle has a radius of 8, the “red” chord has a length of 8, the “blue” segment made by chord is there then

now…. if the radius and the chord are all 8, that’s makes an equilateral triangle, “inside the sector of the circle”, bear in mind that, for an equilateral triangle, all angles are equal as well, and thus all are 60°.

now, if you just take the area of the “sector” of the circle, with that radius and that angle, and then subtract the equilateral triangle, what’s leftover is the area of the segment made by the chord.

the are of the sector of the circle, includes the segment and the triangle, so subtracting the triangle from it, leaves only the area of the segment.

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What two terms are being multiplied in the expression 6(p + 7q)? A. 6 and p B. 7 and q C. p and 7q D. 6 and p + 7q

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1. (2x+3)(x+4)

Use foil- first (2x*x), outer (2x*4), inner (3*x), last (3*4):
2x^2 + 8x + 3x + 12

Add like terms:
2x^2 +11x + 12

2. (3x+5)(x-8)

Use foil:
3x^2 – 24x + 5x – 40

Add like terms:
3x^2 – 19x – 40

3. (4c-9)(c^2 +c -7)

Distribute 4c to each term of (c^2 +c -7):
4c^3 + 4c^2 -28c – hold on to this until the end.

Distribute -9 to each term of (c^2 + c -7):
-9c^2 – 9c + 63

Add results, combine like terms:
(4c^3 +4c^2 -28c) + (-9c^2 -9c +63)
B; 4c^3 -5c^2 -37c +63

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Jane is studying the rate at which the sale of a particular brand of chocolate has increased over the years. The graph below shows the number of bars sold y, in thousands, after x years since the year 2000:graph of y equals 15 multiplied by 1.1 to the power of x What does the y-intercept of the graph represent?

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Answer with explanation:

If we describe the function, it is constant function , from, x= -8,to x= -5, and then deceases till, x=0.And, then the function increases from, x=0 to x=4.and then again behaves as a constant Function from, x=4, to x=8.

The meaning of , f(x)=y , is value taken by the ordinate , y, when value of abscissa x, is substituted in the function of any kind,which may be Logarithm, Polynomial, exponential, ……etc.

Or,to find, f(2), draw perpendicular, from point 2, which lie on X axis, on the graph.The point where it cuts the graph, from that point draw perpendicular on Y axis.The point where this line meets y axis, is required point.

So, f(2)=1

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URGENT: When a bat hits a ball, the impulse is A)The change in velocity multiplied by force* B) The mass multiplied by force C) The mass multiplied by acceleration D) The force multiplied by the time the objects are in contact *I think it’s A

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Let us assume that pulley is mass less.

Let the tension produced at both ends of the pulley is T.

We are asked to calculate the acceleration of the block.

Let the masses of two bodies are denoted as m_{1}  and m_{2} respectively

Let m_{1} =1 kg and m_{2} =2 kg

As per this diagram, the body having mass 1 kg is moving downward and the body having mass 2 kg is moving on the surface of the table.

Let the acceleration of each block is a .

For body having mass 1 kg:

The net force acting on 1 kg body will be-

                             m_{1} g-T=m_{1} a        [1]

Here tension in the rope will be vertically upward and weight of the body will be in vertical downward direction.

For body having mass 2 kg:

The coefficient of kinetic friction [mu]=0.13

Hence the frictional force F=mu N

                                                     F=mu m_{2} g

Hence the net force acting on the body having mass 2 kg-

                                  T-mu m_{2} g=m_{2} a  [2]

Here the tension of the rope is towards right i.e along the direction of motion of the 2 kg block and frictional force is towards left.

Combining 1 and 2 we get-

                           m_{1} g-T=m_{1}a             [1]

                           T-mu m_{2}g= m_{2} a   [2]

                           —————————————————

                           [m_{1} -mu m_{2} ]g=[m_{1} +m_{2} ]a

                           a=frac{m_{1}-mu m_{2}} {m_{1}+ m_{2}}*g

                           a=frac{1-[2*0.13]}{1+2} *9.8 m/s^2

                           a=frac{0.74}{3} *9.8 m/s^2

                           a=2.417 m/s         [ans]

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Vince wrote the sequence below. 1/3, 1, 5/3, 7/3… Which of the following explains whether the sequence is geometric? The sequence is geometric because 2/3 was added to each term to get the next term. The sequence is geometric because 3 was multiplied to each term to get the next term. The sequence is not geometric because 2/3 was added to each term to get the next term. The sequence is not geometric because 3 was multiplied to each term to get the next term.

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Vince wrote the sequence below. 1/3, 1, 5/3, 7/3… Which of the following explains whether the sequence is geometric? The sequence is geometric because 2/3 was added to each term to get the next term. The sequence is geometric because 3 was multiplied to each term to get the next term. The sequence is not geometric because 2/3 was added to each term to get the next term. The sequence is not geometric because 3 was multiplied to each term to get the next term.

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What is the simplified expression for 3 to the power of negative 4 multiplied by 2 to the power of 3 multiplied by 3 to the power of 2 whole over 2 to the power of 4 multiplied by 3 to the power of negative 3? A. 3 over 2 B. 3 to the power of 2 over 2 to the power of 2 C. 3 to the power of 2 over 2 D. 2 to the power of 4 over 3Can somebody explain how to do this?

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Posted in Mathematics

Ok first look at just the base 2s. 2^3/2^4 is 1/2
Then 3^-4*3^2/3^-3 is 3^-2/3^-3 is 3^3/3^2 is 3
Therefore the answer is 3/2


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Find the value of the expression (-8.6) + 7.2

-1.4. First you must know that when adding a negative to a positive, it cancels out. so instead of adding, your actually subtracting. This song sometimes works. Same number keep and add, different sign subtract, keep the side of the larger number than you will be exact. I hope i was some of help

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The number of pizzas is in a proportional relationship to the weight of the shredded cheese toppings. When​ shredded, a 30​-lb block of cheese is enough to make 127.5 large pizzas. Find the constant of proportionality. Explain how you can use a constant of proportionality to find how much cheese is on one slice of pizza if there are 8 slices per pizza.

30………………….127,5
1…………………….x

30x = 127,5
x = 127,5/30
x = 4,25 

1 libra = 4,25 pizzas
4,25 pizzas………….1 libra
1 pizza…………………y

4,25y = 1
y = 1/4,25
y = 0,2353 libra (1 pizza)
1/8 de pizza = 0,2353/8 = 0,0294

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