Animals in an experiment are to be kept under a strict diet. Each animal should receive grams of protein and grams of fat. The laboratory technician is able to purchase two food​ mixes: Mix A has ​% protein and ​% ​fat; mix B has ​% protein and ​% fat. How many grams of each mix should be used to obtain the right diet for one​ animal?

Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Answer:

checking go flying funny can be in FB can can BV my CV vb.

Answer:

\(\frac{1}{5}\)

Step-by-step explanation:

Using the formula \(\frac{y2-y1}{x2-x1}\)

\(\frac{0-3}{0-15}\)

Solve

\(\frac{3}{15}\)

Simplify

\(\frac{1}{5}\)

The slope is \(\frac{1}{5}\)

a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2

Number of values = 10

Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63

Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.

b) Comparing the two advertisements:

i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum

ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.

Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.

In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.

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Answer:

40.82 cm

Step-by-step explanation:

To calculate the circumference, multiply the radius by pi(3.14) by 2 and the radius.

C=2πr

C=2π(6.6)

approximately 40.84

40.82 and 40.84 are very close to one another!

Answer:

Answer:

310

Step-by-step explanation:

A circle is 360 degrees

50 +x = 360

x = 360-50

x = 310

Answer:

I hope this helps!

Step-by-step explanation:

Please mark brainiest

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Answer:

is that the full question?

Answer:

Solution:-

Given,

ab =perpendicular (p)= 6cm

ac =hypotenuse (h)= 12cm

cd =base (b)= ?

using , Pythagoras theorem we have ,

b²=√h²-p²

or,cd²=√ac²-ab²

= √12²-6²

= √144-36

=√108

=√10.8²

=10.8cm

the length of cd is 10.8 cm

hope it is helpful to you

The segment XY is a tangent to circle Z.

What is tangent to a circle?

Tangent to a circle is the line that touches the circle at only one point. There can be only one tangent at a point to circle. Point of tangency is the point at which tangent meets the circle.

To check the segment YX is tangent to circle z, first we have to check that the triangle formed XYZ is right angle triangle or not.

If the triangle XYZ is a right triangle, then we have

XY² +XZ² = YZ²

3.6² +2.7² = (1.8 +2.7)²

 12.96 +7.29 = 20.25            it's true.

Therefore, the segment XY is a tangent to circle Z.

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Answer:

300

Step-by-step explanation:

450 / 9 = 50

50 x 6 = 300

300 is your answer

Hope this helps!

Answer: 3/8

Step-by-step explanation:

i think it’s 3/8 because I’m also working on this one and it adds up to 3/8 because as you see there is 3 sections. (I’m not good at explaining so I added a photo)

Answer:

3/8

Step-by-step explanation:

me  class  said so

Answer:

7 square root 9^4

Step-by-step explanation:

Answer:

HOPE THIS HELPS!!!

Step-by-step explanation:

To find the product,

✔ multiply

the numerators and

✔ multiply

the denominators.

The product is

✔ 2/15

Divide:  2

5

 ÷  3

5

To divide, multiply by the

✔ reciprocal

.

The quotient is

✔ 2/3

.

Answer:

Izzdebizz was right i am at teacher

Step-by-step explanation:

Using the points (-3.1, -5.82) and (.6, -1.38) on the graph of a linear function h, the formula is y = 0.49x - 4.32

The slope, m of the linear function is calculated using the points on the graph (-3.1, -5.82) and (.6, -1.38)

m = (y₀ - y₁) / (x₀ - x₁)

m = (-1.38 - (-5.82)) / (6 - (-3))

m = (4.44) / (9)

m = 0.49

equation passing through point (.6, -1.38)

(y - y₁) = m'  (x - x₁)

y - (-1.38) = 0.49 (x - 6)

y + 1.38 = 0.49x - 2.94

y = 0.49x - 2.94 - 1.38

y = 0.49x - 4.32

the equation is y = 0.49x - 4.32

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The game costs $9 if it is two-thirds of the total cost of the game.

What is a fraction?

A fraction represents a part of a whole or a number of equal parts. It consists of a numerator, which is the number on top, and a denominator, which is the number on the bottom, separated by a horizontal line. The denominator represents the total number of equal parts, while the numerator represents the number of parts being considered.

In the given problem, Salma has $6, which is two-thirds of the total cost of the game. This can be represented as the fraction 2/3, where 2 is the numerator and 3 is the denominator. Let the total cost of the game be x. Then, according to the problem:

2/3 x = 6

Multiplying both sides by 3/2, we get:

x = 6 x 3/2

x = 9

Therefore, the game costs $9.

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The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

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From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

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Answer:

False. The product of two negative integers is a positive integer.

Answer:

2b-1b= is 1b because you we're gonna be minus 2 and 1 and copy letter b

Answer:

x = 1

Step-by-step explanation:

Simply solve for x in the given equation

0.2(x + 1) + 0.5x = -0.3( x - 4)

Distribute the 0.2 and -0.3 to what is inside the fraction

0.2x + 0.2 + 0.5x = -0.3x + 1.2

Combine like terms

0.7x + 0.2 = -0.3x + 1.2

move all the variables to one side of the equation

1.0x = 1

then solve for x

x = 1

Answer: The correct system of linear inequalities that represents Leslie's situation is:

4x + 10y ≥ 120 (to represent the requirement to raise at least $120)

x + y ≥ 18 (to represent the requirement to sell at least 18 items in total)

x ≥ 0, y ≥ 0 (to represent that Leslie must sell a non-negative number of keychains and t-shirts)

Where x represents the number of keychains sold and y represents the number of t-shirts sold. The first inequality represents the minimum amount of money Leslie needs to raise, and the second inequality represents the minimum number of items she needs to sell. The last two inequalities represent that Leslie can only sell a non-negative number of items.

Step-by-step explanation:

Answer:

y = -2x + 1

Step-by-step explanation:

The linear equation is generally written in y = mx + b form. Since m (the value of the slope) is already given, only the value of b must be determined. To do this, plug in x, y, and m for their values in the equation to get:

13 = -2 (-7) + b

Then, simplify.

13 = 14 + b

b = -1

Once you find the b value, plug everything back in and get y = -2x + 1.

Explanation

a vectors makes a rigth angle to the x-positve axis , so

so, the x coordinate is adjacent side and the y-coordinate becomes into the opposite side, then we can use a trigonometric function that relates those values,it is

hence

Step 1

a)

let

replace and solve for the angle

so,

a)Blank1: 30.964

Step 2

b)

let

replace and solve for the angle

so,

b)Blank2:128.660

Step 3

c)

replace and solve for the angle

so,

c)Blank3:-45 °

Step 4

d)

replace and solve for the angle

so,

direction

graph

d)Blank4: 194.036

I hope this helps you