Using the weighted mean,find the average number of grams of fat per ounce of meat or fishthat a person would consume over a 5 day period if he atethese:meat orfish fat (g/oz)3 oz friedshrimp 3.333 oz vealcutlet 3.002 oz roastbeef 2.502.5 oz friedchicken 4.404 oz cannedtuna 1.75

Answer:

-17 z - 6 y - 7 x + -18

Step-by-step explanation:

Simplify the following:

x + 6 y - 7 z + 2 - 8 x - 12 y - 10 z - 20

Hint: | Group like terms in x + 6 y - 7 z + 2 - 8 x - 12 y - 10 z - 20.

Grouping like terms, x + 6 y - 7 z + 2 - 8 x - 12 y - 10 z - 20 = (-7 z - 10 z) + (6 y - 12 y) + (x - 8 x) + (2 - 20):

(-7 z - 10 z) + (6 y - 12 y) + (x - 8 x) + (2 - 20)

Hint: | Combine like terms in -7 z - 10 z.

-7 z - 10 z = -17 z:

-17 z + (6 y - 12 y) + (x - 8 x) + (2 - 20)

Hint: | Combine like terms in 6 y - 12 y.

6 y - 12 y = -6 y:

-17 z + -6 y + (x - 8 x) + (2 - 20)

Hint: | Combine like terms in x - 8 x.

x - 8 x = -7 x:

-17 z - 6 y + -7 x + (2 - 20)

Hint: | Evaluate 2 - 20.

2 - 20 = -18:

Answer: -17 z - 6 y - 7 x + -18

For the given equation which shows the relation of temperature in Celsius and Fahrenheit, the correct option is Option D.

What is meant by temperature?

Indicating the direction in which heat energy will naturally flow from a hotter body (one with a higher temperature) to a colder body(one at a lower temperature), the temperature is a measure of hotness or coldness defined in terms of any of several arbitrary scales.

The given equation is:

\(C = \frac{5}{9} (F- 32)\)

where C = temperature in Celsius

          F = temperature in Fahrenheit

The above equation can be rewritten as:

C = 5/9F - 160/9

Now, this is an equation of a straight line with a formula,

y = mx + c

Comparing,

m = 5/9 which is the slope of the equation.

This means that for a temperature increase of 1 degree Fahrenheit, the equivalent increase in temperature in Celsius is 5/9.

So the option I is true.

Similarly, an increase in 1 degree Celsius of temperature is equivalent to 9/5 = 1.8 degree increase in Fahrenheit.

So option II is true.

Option III is not true as is discussed above.

Therefore for the given equation of temperature, the correct option is Option D.

To learn more about temperature, follow the link.

https://brainly.com/question/30459660

#SPJ1

Answer:

D

Step-by-step explanation:

I have nothing else to say- lol

Answer:

$1.30 or 130 cents

Step-by-step explanation:

You divide 91 by 14 to get the amount per ounce and you would get 6.5. Then you multiply that by 20 to get the new amount which is 130, or $1.30.

Note that this is still a rectangle, and the length of the fencing is still 600 ft.

So the sum of the sides NOT along the river x + x + y = 600, and the area equals xy.

This makes the two equations: 2x + y = 600, and A = xy.

To find the largest area, we need to find A as a function of x or y. I suggest solving the first equation for y and replacing that in the second equation.

y = 600 - 2x. and A(x) = x(600-2x)

We now need to maximize A(x) = 600x - 2x2.

Remember, if x = -b/(2a), we find the x value of the vertex, the y value can be found by substitution.

So, since a = -2, and b = 600, x = -600/(-4) = 150 ft. If x = 150, y = 600 - 2(150) = 300.

So, the dimensions are 150 x 300 and the maximum area = 300(150) = 45,000 ft2

I hope this helps. By the way, there are many variations of this, and they are all similar. For example, you might want to make several pens with two lengths parallel and have three parallel withs inside.

The probability that the person selected drives a truck exercises four or more times per week is 0.633.

The probability of an event occurring is known as probability. This might range from an occurrence being impossible to have a chance to happen to be certain for sure. Probability is measured mathematically on a scale from 0 to 1.

Given,

The person selected who drives a truck exercises four or more times per week.

P(The person selected drives a truck and exercises four or more times per week)

= 36/120 + 52/120 - 12/120

= 76/120

Simplifying,

= 19/30

= 0.633(approximately)

The probability that the person selected drives a truck exercises four or more times per week is 0.633.

To learn more about probability, visit:

https://brainly.com/question/11234923

#SPJ1

Answer:

a. 11

Step-by-step explanation:

(4)2 = 8

8+3= 11

Answer:

a 11

Step-by-step explanation:

Answer:

D.) y < -1/5x + 1

Step-by-step explanation:

I sense that you're in a rush, so I'll spare you the lecture, haha.. Just trust.

The new coordinates of points M and O is determined as;

M = (0.5, - 1)

O = (2.5, -2).

The new coordinate of points M and O after applying the scale factor is calculated as follows;

The given scale factor = 1/2

The current coordinates of point M and O is;

M = (1, - 2)

O = (5, - 4)

A scale factor can be used to either enlarge a figure or decrease a figure.

When the scale factor is less than 1, it means the new figure will be smaller than the original figure.

However, if the scale factor is greater than 1, the new figure will be greater than the original figure.

The new coordinates of points M and O is determined as follows;

M = (1 x 1/2,  -2 x 1/2) = (0.5, - 1)

O = (5 x 1/2, -4 x 1/2) = (2.5, -2)

Learn more about scale factor here: https://brainly.com/question/2826496

#SPJ1

Answer: 3.5

Step-by-step explanation:

The perimeter of a rectangle is 132 feet² .

What is rectangle?

The perimeter of rectangle =2(length+breadth).

Let length of rectangle =x

Breadth of rectangle=3*(x+1)=3x+3

Given perimeter=110

2(x+3x+3)=110

2 ( 4x + 3 ) = 110

 4x + 3 = 110/2

    4x + 3 = 55

      4x+3=55

       4x= 55 - 3

           4x= 52

              x = 43

Length = 43

Breadth= 3* 43 + 3 = 132

Learn more about rectangle

brainly.com/question/27722891

#SPJ13

Answer:

Step-by-step explanation:

y=4x+2

For a point to be perpendicular to a line

then the product of the two gradients must be negative one (I.e, m1×m2=-1)

where m1= 4

m2=-(1/m1)

m2=-1/4

point (7,-6)

x1=7 y1=-6

from the general equation of a line

y-y1=m(x-x1)

y-(-6)=-1/4(x-7)

y+6=-1/4(x-7)

y+6=-1/4x+7/4

y+1/4x=(7/4)-6

y+1/4x=-17/4

y+1/4x+17/4=0

4y+x+17=0

Answer:

-1/3x

Step-by-step explanation:

the slope formula is y divided by x. it goes down 1 unit and right 3 units. so

-1 divided by 3 is -\(\frac{1}{3}\)

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517. Option B

To solve the equation cos(x) - x * e = 0 in the interval [0, 1] using the bisection method, we start by checking the function values at the endpoints of the interval.

For x = 0:

cos(0) - 0 * e = 1 - 0 = 1

For x = 1:

cos(1) - 1 * e ≈ 0.54 - 2.72 ≈ -2.18

Since the function values at the endpoints have opposite signs, we can apply the bisection method to find the root within the interval.

The bisection method involves repeatedly dividing the interval in half and checking the function value at the midpoint until a sufficiently accurate approximation is obtained. In this case, we will perform 10 iterations.

After the 10th iteration, the estimated value of the root obtained by the bisection method is approximately 0.517.

Therefore, the correct answer is OB) 0.517.

For more such questions on estimated value visit:

https://brainly.com/question/24239771

#SPJ8

If you meant to write \(\log_{b}(y) = x\) then the statement is true.

As a more concrete example, something like \(\log_3(81) = 4\) would be read out as "log base 3 of 81 is equal to 4".

1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:

Volume = 3 cm x 3 cm x 3 cm = 27 cm³.

Therefore, the volume of the cube is 27 cubic centimeters.

1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:

Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.

Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).

1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:

Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.

Therefore, the mass of the water cube is 27 grams.

1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.

Therefore, the weight of the water and the ice would be the same under the same conditions.

1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.

When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.

In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.

Learn more about cube;

brainly.com/question/15420947

#SPJ4

The cash rate set by the Reserve Bank of Australia (RBA) influences monetary policy through various channels. These channels include the interest rate channel and the exchange rate channel.

Interest Rate Channel: When the RBA adjusts the cash rate, it directly affects interest rates in the economy. Lowering the cash rate leads to reduced borrowing costs for businesses and individuals, stimulating borrowing and spending. Conversely, increasing the cash rate raises borrowing costs, which can dampen borrowing and spending.

Exchange Rate Channel: Changes in the cash rate also impact the exchange rate. Lower interest rates can make a currency less attractive for foreign investors, potentially leading to a depreciation of the currency. A weaker currency can boost export competitiveness and support economic growth.

Asset Price Channel: Monetary policy can influence asset prices such as housing and stock markets. Lower interest rates encourage investment in these assets, potentially leading to price increases. Rising asset prices can contribute to wealth effects, affecting consumer spending and economic activity.

Overall, the transmission of monetary policy through these channels affects borrowing costs, investment decisions, exchange rates, and asset prices. This, in turn, influences consumer spending, business investment, inflation, and overall economic growth.

The RBA's adjustments to the cash rate aim to manage inflation and stimulate or moderate economic activity in line with the country's monetary policy objectives.

Learn more about rates here:

https://brainly.com/question/199664

#SPJ11

Answer:

hope this helps!! <3

Step-by-step explanation:

A fraction is represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

There are two types of classifications for triangles, Classification according to internal angles and Classification according to the length of its sides.

A geometrical shape with three vertices, angles and sides, whose sum of internal angles is 180° is considered as a triangle.

Classification of triangles :-

There are two ways to classify triangles,

1) Based on the Angle :-

a) Acute Angled Triangle :- A triangle that has all three angles less than 90° is an acute angle triangle.

b) Right-Angled Triangle :- A triangle that has one angle that measures exactly 90° is a right-angle triangle.

c) Oblique Angled Triangle :- A triangle that has one angle that measures more than 90° is an obtuse angle triangle.

2) Based on the Sides :-

a) Scalene Angled Triangle :- A triangle that has all three sides of different lengths is a scalene triangle.

b) Isosceles Angled Triangle :- A triangle that has two sides of the same length and the third side of a different length is an isosceles triangle.

c) Equilateral Angled triangle :- A triangle that has all three sides of the same length is an equilateral triangle.

Learn more about triangles, click;

https://brainly.com/question/2773823

#SPJ1

I believe since you are looking for the angle of M<ABC, you just add both 120 and 25 together, since they practically share a point.

So 120 + 25 = 145

So I guess 145 would be your answer.

I remembered this type of problem from Geometry.

Adding 16 to the given equation we get:

Simplifying the above result we get:

Dividing the above equation by 7 we get:

Simplifying the above result we get:

Answer:

Answer:

Step-by-step explanation:

7x-16=-2how do i find the solution of x

7x - 16 = -2

7x = - 2 + 16

7x = 14

x = 14 : 7

x = 2

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

check

7 × 2 - 16 = -2               (remember PEMDAS)

14 - 16 = -2

-2 = -2

the answer is good

Answer: -5,-1

Step-by-step explanation:

Answer:

-5,-1

Step-by-step explanation:

Barton should use a luggage scale to get the most accurate and appropriate measurement of his packed suitcase before he leaves to catch a flight. A luggage scale is a compact and portable device that is designed specifically to weigh luggage. Using a luggage scale is easy and convenient as it allows travelers to weigh their bags accurately, ensuring that they are within the airline's weight limit. To use a luggage scale, Barton should follow these simple steps:

Step 1: Attach the luggage strap Barton should attach the luggage strap to the handle of his suitcase.The strap should be attached in such a way that it can support the weight of the suitcase without slipping or coming off.

Step 2: Turn on the luggage scale Barton should turn on the luggage scale and wait for it to calibrate. This usually takes a few seconds. Once the scale is calibrated, it will display a zero reading.

Step 3: Lift the suitcase Barton should lift the suitcase by the luggage strap until it is off the ground. The luggage scale will display the weight of the suitcase on its digital display. This reading is the weight of the suitcase including all the contents inside.

Step 4: Check the weight If the weight of the suitcase is less than 50 pounds, Barton can go ahead and catch his flight without worrying about any extra charges. If the weight of the suitcase is more than 50 pounds, Barton will have to remove some items from the suitcase or pay the extra fee charged by the airline.

Therefore, using a luggage scale is the most accurate and appropriate method for travelers like Barton to measure their suitcase weight before boarding their flight.

For such more question on  suitcase

https://brainly.com/question/30668933

#SPJ8

Answer:

use a standard digital bathroom scale.

Step-by-step explanation:

r = radius h = height s = slant height V = volume L = lateral surface area B = base surface area A = total surface area π = pi = 3.14159 √ = square root

Answer:

1697.2 <3

i got it right

The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

For more such information on: significant figures

https://brainly.com/question/30169

#SPJ8

Since the function f(x) = x², g(x) include the following: D. g(x) = (1/3x)².

In Mathematics and Geometry, a transformation can be defined as the movement of a point from its initial position to a new location. This ultimately implies that, when a function or object is transformed, all of its points would also be transformed.

In Mathematics and Geometry, a dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.

Based on the graph, we can logically deduce that function g(x) can be produced by vertically stretching the parent function by a scale factor of 1/3;

g(x) = 1/3f(x)

g(x) = (1/3x)²

g(x) = (1/9)x²

Read more on transformation here: https://brainly.com/question/10754933

#SPJ1

The value of the rate of growth in Japan is - 0.55.

From the question above, :Birth rate = 7.7 per thousand

Death rate = 9.8 per thousand

Net migration = 0.55 per thousand

The rate of growth can be calculated using the following formula:

r = (birth rate - death rate) + net migration

Where,r = rate of growth

birth rate = number of live births per thousand in a population in a given year

death rate = number of deaths per thousand in a population in a given year

net migration = the difference between the number of people moving into a country (immigrants) and the number of people leaving a country (emigrants) per thousand in a given year

Putting the values in the formula we get,r = (7.7 - 9.8) + 0.55r = - 1.1 + 0.55r = - 0.55.

Therefore, the rate of growth in Japan is - 0.55.

Your question is incomplete but most probably your full question was:

thenet migration is confusing me. i thought of using the formula:[ (births + immigration) - (deaths + emmigration)] / total

population • 100 but im not sure how to do it with net migration.

Japan's birth rate is 7.7 per thousand and its death rate is 9.8 per thousand with a net migration of 0.55 ner thousand. Calculate r for Japan

Learn more about population at

https://brainly.com/question/15531493

#SPJ11

The area of quadrilateral ABCD exists equivalent to the area of triangle ABD plus the area of triangle ADC

Heron's Formula exists a technique for estimating the area of a triangle when you know the lengths of all three sides.

Therefore, the total area of  quadrilateral abcd exists 28.53 \($$units^2\).

Let a, b, and c be the lengths of the sides of a triangle.

The area is given by:

\($$A = \sqrt{p(p-a)(p-b)(p-c)}\)

where p exists half the perimeter

\($p = \frac{a+b+c}{2}\)

To estimate the area of triangle ABD

we have

a = AB = 2.89 units

b = BD = 8.59 units

c = DA = 8.6 units

To estimate the perimeter

\($p = \frac{2.89+8.59+8.6}{2}\)

= 10.4 units

To estimate the area

\($A = \sqrt{10.04(10.04-2.89)(10.04-8.59)(10.04-8.6)}\)

\($A = \sqrt{10.04(7.15)(1.45)(1.44)}\)

\($A = \sqrt{149.89}\)

A = 12.24 \($$units^2\)

To estimate the area of the triangle ADC

we have

a = AC = 4.3 units

b = AD = 8.6 units

c = DC = 7.58 units

To estimate the half perimeter p

\($p = \frac{4.3+8.6+7.58}{2}\)

= 10.24 units

To estimate the area

\($A = \sqrt{10.24(10.24-4.3)(10.24-8.6)(10.24-7.58)}\)

\($A = \sqrt{10.24(5.94)(1.64)(2.66)}\)

\($A = \sqrt{265.35}\)

A = 16.29 \($$units^2\)

To estimate the total area

A = 12.24+16.29 = 28.53 \($$units^2\).

Therefore, the total area of  quadrilateral abcd exists 28.53 \($$units^2\).

To learn more about total area of  quadrilateral refer to:

https://brainly.com/question/27991573

#SPJ4

Answer:

99 and 33

Step-by-step explanation:

let x and y be the 2 numbers, with x being the larger of the 2, then

x + y = 132 → (1)

x - y = 66 → (2)

add (1) and (2) term by term to eliminate y

(x + x) + (y - y) = 132 + 66

2x + 0 = 198

2x = 198 ( divide both sides by 2 )

x = 99

substitute x = 99 into (1) and solve for y

99 + y = 132 ( subtract 99 from both sides )

y = 33

the 2 numbers are 99 and 33