Emanuel used the calculations below to find the product of the given fractions.

(Three-fifths) (StartFraction 4 over 9 EndFraction) (Negative one-half)

Step 1 StartFraction (3) (4) (negative 1) over (5) (9) (negative 2) EndFraction

Step 2 StartFraction negative 12 over negative 90 EndFraction

Step 3 StartFraction 12 over 90 EndFraction

Step 4 StartFraction 2 over 15 EndFraction

In which step did his first error occur?
step 1
step 2
step 3
step 4

Answers

Answer 1

Answer:

  step 1

Step-by-step explanation:

The product of fractions is the quotient of the product of the numerators and the product of the denominators. When negative fractions are involved, the sign of the result will be negative if the number of minus signs among the factors is odd.

__

setup

The product Emanuel wanted to compute was ...

  [tex]\dfrac{3}{5}\cdot\dfrac{4}{9}\cdot\left(-\dfrac{1}{2}\right)[/tex]

step 1

The first calculation step used was ...

  [tex]=\dfrac{3\cdot4\cdot(-1)}{5\cdot9\cdot(-2)}\qquad\textbf{Error}\text{ -- a minus sign added}[/tex]

The error was in the first step where a minus sign was added. This brings the total to an even number of minus signs, changing the sign of the result.

__

A more appropriate first step might have been ...

  [tex]=-\dfrac{3\cdot4\cdot1}{5\cdot9\cdot2}\qquad\text{correct first step}[/tex]


Related Questions

Figure the amount of concrete (in cubic yards) required to pour a floor slab of the following dimensions: 18′ × 24′ × 4′′. Show both exact and rounded figures in the blanks provided​

Answers

The amount of concrete required to pour a floor slab of the following dimensions: 18′ × 24′ × 4′′ is 5.34 cu.yard.

What is a Cuboid ?

A cuboid is a three dimensional shape , with 6 faces , each face is a rectangle.

The concrete can be considered as in the shape of a cuboid.

Length = 18

Breadth = 24'

Height = 4"

Volume of Cuboid = Length * Breadth * Height

Volume of the cuboid = 18 * 24 * 4 *12*12 *(0.0278)³

=5.34 cu.yard.

Therefore the amount of concrete required to pour a floor slab of the following dimensions: 18′ × 24′ × 4′′ is 5.34 cu.yard.

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I need help please ?!!!!

Answers

Answer:

6,010 mg

Step-by-step explanation:

1 gram = 1,000 milligrams that means

(6+.01)*1000=6,010mg

7, 13, 9, 15, 11, 7, 11. Find the Interquartile range of this data set​

Answers

IQR (interquartile range) is Q3 - Q1. In this data set, Q3 is 13, and Q1 is 7.
13-7 is 6.

Hope this helps!

Can someone help me? I’ll give brainliest to whoever gets it right first

Answers

Answer:

108°

Step-by-step explanation:

From the diagram,

Angle X + Angle CXD = 180°

Angle X + 72° = 180°

Angle X = 180° - 72° = 108°

F(1) =3 and f (n+1)= f(n)^2+3 then find the value of f(4)

Answers

Answer:

f(4) = 1612

Step-by-step explanation:

using the recursive formula and f(1) = 3 , then

f(2) = f(1)² + 3 = 3² + 3 = 9 + 3 = 12

f(3) = f(2)² + 3 = 144 + 3 = 147

f(4) = f(3)² + 3 = 147² + 3 = 1609 + 3 = 1612

Help for college scholarships! Must be a paragraph.

How has your family background affected the way you see the world?

Answers

Family background refers to the culture and tradition of the family into which a person is born.

What is family background?

Family background refers to the culture and tradition of the family into which a person is born. it is worthy of note that most of this family traditions are unspoken yet are firmly entrenched in the psyche of individual as he/she grows.

My family is strictly conservative having  had a Southern Baptist orientation. My dad believes deeply in  religion and a moralist and perfectionist.

As a  result of this, I find myself always grappling with the unfortunate disorder in the world; always trying to bring order to my world as much as I can.

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The temperature at 10:00 AM is 260 c. if temperature rises 4 degrees more each hour. What will be temperature at 1:00 pm in the Afternoon?

Answers

Answer:

272 c

Step-by-step explanation:

Roses by 4 every hour

10 to 1 can be represented in 24 hour time as 10 to 13

13 subtract 10 is 3

3 multiplied by 4 is 12

260 add 12 is 272 c

Find the value of each variable

Answers

Answer:

x = 10[tex]\sqrt{2}[/tex] , y = 10[tex]\sqrt{6}[/tex]

Step-by-step explanation:

using the sine and cosine ratios in the right triangle and the exact values

cos60° = [tex]\frac{1}{2}[/tex] , sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{20\sqrt{2} }[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 20[tex]\sqrt{2}[/tex] ( divide both sides by 2 )

x = 10[tex]\sqrt{2}[/tex]

and

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{20\sqrt{2} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2y = 20[tex]\sqrt{2}[/tex] × [tex]\sqrt{3}[/tex] = 20[tex]\sqrt{6}[/tex] ( divide both sides by 2 )

y = 10[tex]\sqrt{6}[/tex]

I WILL GIVE YOU BRAINLIEST!!

a pet store has 8 empty fish tanks that each hold 5544 cubic inches of water one goldfish requires a minimum of 1386 cubic inches of water.
What is the greatest number of goldfish that the pet store can have given the volume of water needed for one goldfish?

Answers

Answer:

32 goldfish

Step-by-step explanation:

Given:

Number of fish tanks = 8Volume of water per fish tank = 5,544 in³Water required by 1 goldfish = min 1,386 in³

Number of fish per tank = water per tank ÷ water per goldfish

                                        = 5544 ÷ 1386

                                        = 4

Therefore, each tank can hold a maximum of 4 goldfish.

Greatest number of goldfish = number of tanks × fish per tank

                                               = 8 × 4

                                               = 32

−13x + 2/5 − 3 (2x + 4)

Answers

-19x - 58/5 is the answer.
-19x-58/5 or -19x- 11.6

Which coordinate point is a solution to the linear equation? (The graph counts by 1s)

Answers

Answer:

the point through which it passes i.e (1,5)

Answer:

(1,5)

Step-by-step explanation:

All points on the line is solution of the equation.

(1 ,5) is on the line and so it is the solution

Which function has a vertex at the origin?
f(x) = (x + 4)²
f(x) = x(x-4)
f(x) = -x²
f(x) = (x-4)(x+4)

Answers

Answer:

[tex]f(x)=-x^2[/tex]

Step-by-step explanation:

Vertex form of a quadratic function:

[tex]f(x)=a(x-h)^2+k[/tex]

where:

(h, k) is the vertexa is some constant

If the vertex is at the origin, then (h, k) = (0, 0)

[tex]\implies f(x)=a(x-0)^2+0[/tex]

[tex]\implies f(x)=ax^2[/tex]

Comparing this with the answer options suggests that the function with a vertex at the origin is [tex]f(x)=-x^2[/tex]

Kevin sold a house and receives a 6 1/2% commission he gave the listing broker 30% or 3,575 what was the price of the house

Answers

Answer:

12 just because I need the free credit things sorry this ain't gonna be helpful lol

Help please asap aaaaaaaaaaaaaaaaaa

Answers

Answer:

Step-by-step explanation:

Your exponential formula is in the form y = ab^x. In this form, the coefficient 'a' is the initial value, the y-intercept, the value when x=0. The value 'b' is the growth factor, which is 1 more than the growth rate per increment of x. This problem is asking for the growth rate to be expressed as a percentage.

__

Given p(x) = 78500(1.02^x), we can compare to the exponential function form to see that ...

a = 78,500b = 1.02 = 1 +0.02 = 1 +2%

The value of x is zero in the year 2000, so the population that year is ...

  p(0) = a = 78,500

The increase per year is the value of 'b' with 1 subtracted:

  growth rate = 2% per year

Find the volume of the cone . Round your answer to the nearest tenth. Use 3.14 for 8 in. 4 in.

Answers

Answer:

see the attachment photo!

Which sentence correctly compares the two numbers 5.395 and 5.385?
5395 = 5.385
5.385>5.395
5.395<5.385
5.385<5.395










5395=5.385 TRUE OR FALSE

Answers

Inequalities help us to compare two unequal expressions. The correct option is D.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The sentence that correctly compares the two numbers 5.395 and 5.385 is 5.385<5.395. Hence, the correct option is D.

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Question 32 of 40
The ratio
opposite
hypotenuse
describes which function?

Answers

The ratio [tex]\frac{Opposite}{Hypotenuse }[/tex] describes the Sine function . The correct option is C. Sine

Trigonometry

From the question, we are to determine the function that the ratio of opposite to hypotenuse describes

By SOH CAH TOA

We have that

[tex]Sine = \frac{Opposite}{Hypotenuse }[/tex]

[tex]Cosine = \frac{Adjacent}{Hypotenuse }[/tex]

and

[tex]Tangent = \frac{Opposite}{Adjacent}[/tex]

Hence, the ratio [tex]\frac{Opposite}{Hypotenuse }[/tex] describes the Sine function . The correct option is C. Sine

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which one is the answer

Answers

Answer:

hmmm I get 216

Step-by-step explanation:

(10×7)+(6×8) the front n back triangle +(6×7)+(8×7)

The answer to your question is surface area = 216 Square in

If the given figure is sliced through points J. K. and L, which best describes the shape of the resulting cross-section?
A
OA parallelogram
OB. trapezoid
OC. rectangle
OD. triangle

Answers

The shape of the resulting cross-section will be equal to the trapezoid.

What is a trapezoid?

A trapezoid is a quadrilateral having four sides whose two sides are parallel to each other and the other two sides are nonparallel to each other.

As it is given in the question the figure is sliced through points J. K. and When the shape is sliced from the given points it will create the trapezoidal shape that will have two parallel sides and the other two sides are Non-parallel

Therefore the shape of the resulting cross-section will be equal to the trapezoid.

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Answer:

Trapezoid

Step-by-step explanation:

I got it right on Edmentum

Hook me up with a 5 star and a thanks :)

consider the exponential functions below.

put the functions, with their corresponding intervals, in order from least to greatest according to their average rates of change over those intervals.



Answers

The functions in order from least to greatest according to their average rates of change are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]

How to order the functions?

The rate of change is calculated using:

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

For function g at the interval [2,3], we have:

[tex]m = \frac{g(3) - g(2)}{3- 2}[/tex]

This gives

[tex]m = \frac{20 - 4}{3- 2}[/tex]

[tex]m =16[/tex]

For function h at the interval [0,2], we have:

[tex]m = \frac{h(2) - h(0)}{2- 0}[/tex]

Where:

h(2) = 3(3)^2 - 9 = 18

h(0) = 3(3)^0 - 9 = -6

This gives

[tex]m = \frac{18 + 6}{2 - 0}[/tex]

[tex]m = 12[/tex]

For function f at the interval [1,2], we have:

[tex]m = \frac{f(2) - f(1)}{2- 1}[/tex]

This gives

[tex]m = \frac{12 - 6}{2 - 1}[/tex]

[tex]m = 6[/tex]

Hence, the functions are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]

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Please answer this problem!

Answers

Answer:

a. volume= 784 is the answer

A man travelled by train and left Nsawam at 10:43am and got at Dzorwulu at 3:23pm.Find the average speed of the train in km/hr if the distance of the journey was 356,140km.​

Answers

First we need to find how long he traveled. 10:43 to 3:23 is 4hour and fourth minutes, and that’s equal to 280 minutes. Than we will divide 356,140 by 280 to get 1371.92 km per minute. Then times 60, you get 82,315.2 km per hour.

The radius of the base of a cylinder is 28 cm and its height is 48 cm. Find the surface
area of the cylinder in terms of л.
O
A.4,208 cm²

B.4,228 cm²

C.4,232л cm²

D.4,256pie cm2

Answers

Answer:

D) [tex]4256\pi\:\text{cm}^2[/tex]

Step-by-step explanation:

[tex]SA=2\pi r h+2\pi r^2\\\\SA=2\pi(28)(48)+2\pi(28)^2\\\\SA=2\pi(1344)+2\pi(784)\\\\SA=2688\pi+1568\pi\\\\SA=4256\pi\:\text{cm}^2[/tex]

Answer:

Surface Area = 2πrh

= 2×π×28cm×48cm

= 2688πcm^2

What is the volume of the rectangular prism?

Answers

1/2^3=1/8
we have 30 of them so
30.1/8=30/8 => 3 and 6/8 or 3 and 3/4 if simplified

Which image below is an acute triangle?

Triangle A has angles measuring ninety five degrees, forty five degrees, and thirty degrees. Triangle B has angles measuring one hundred degrees, twenty five degrees, and twenty five degrees. Triangle C has angles measuring fifty degrees, sixty five degrees, and sixty five degrees. Triangle D has angles measuring thirty degrees, one hundred ten degrees, and twenty degrees.

Answers

Answer:

The answer is Triangle C

Step-by-step explanation:

For a computer company, the cost to produce one PC is $1410 plus a one-time cost of $125,000 for research and development. The revenue from selling one PC is $1984. How many PCs must they sell to make a profit?

Answers

approximately 63 (that’s how many times 1984 goes into 125000)so i would say about 64.

if the absolute terms in the expansion of (x2+k )12 is 495 find the value of k
x​

Answers

Answer:

if the absolute terms in the expansion of (x2+k )12 is 495 find the value of k

x​

Step-by-step explanation:

in a circle H with m angle GKJ=27 find the m angle GHJ

Answers

In a circle H with a measure of angle ∠GKJ = 27°. Then the measure of angle ∠GHJ will be 54°

What is a circle?

It is the center of a line drawn from the center to an equidistant location. The space between the center and the periphery of a circle is measured in radius.

In a circle H with a measure of angle ∠GKJ = 27°.

Then the measure of angle ∠GHJ will be

We know that a chord's slope in the center is double that of the chord's slope at the perimeter.

Then we have

∠GHJ = 2 x ∠GKJ

∠GHJ = 2 x 27°

∠GHJ = 54°

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How is the graph of the parent function of y = RootIndex 3 StartRoot 0.5 x EndRoot transformed to produce the graph y = RootIndex 3 StartRoot x EndRoot?
It is horizontally stretched by a factor of mc031-3.
It is vertically stretched by a factor of mc031
It is translated left by mc031-5unit.
It is translated right by mc031-6.unit.

Answers

If any constant is added in the variable of the function. Then the function will shift towards left. Then the correct option is C.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The functions are given below.

y = ∛(0.5 + x)

y = ∛x

If any constant is added in the variable of the function. Then the function will shift towards left.

Then the correct option is C.

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Answer:

Step-by-step explanation:

The statement describe g (x) = RootIndex 3 StartRoot x minus 5 EndRoot + 7 by transforming the parent function is option C; Translate the parent function 5 units down and 7 units to the right.

How does transformation of a function happens?

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:

y=f(x+c) (same output, but c units earlier)

The transformed function can be written as

y = ∛(x - 5) + 7

Where f(x) = ∛x, this is of the form

y = ∛(x - 5) + 7

These numbers in these places correspond to ...

The statement describe g (x) = RootIndex 3 StartRoot x minus 5 EndRoot + 7 by transforming the parent function is option C; Translate the parent function 5 units down and 7 units to the right.

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help me solve this pls

Answers

Answer:

B.) f(x) = |x|  ,  g(x) = 9x + 2

Step-by-step explanation:

The expression f о g = H is identical to f(g(x)) = H. In other words, when you put the function g(x) in the "x" position of the f(x) function, it should look like the H(x) function.

If g(x) = 9x + 2, put the entire function in for "x" in f(x) = |x|. Once you do this, you get the function f(g(x)) = |9x + 2|.

Answer:B.) f(x) = |x|  ,  g(x) = 9x + 2

Step-by-step explanation:

The expression f о g = H is identical to f(g(x)) = H. In other words, when you put the function g(x) in the "x" position of the f(x) function, it should look like the H(x) function.

If g(x) = 9x + 2, put the entire function in for "x" in f(x) = |x|. Once you do this, you get the function f(g(x)) = |9x + 2|.

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