Terri is beginning a science experiment in the lab. The instructions call for 227 milligrams of potassium. Calculate the difference between this amount and 1 gram

Answer:

Only LOKI is correct

Step-by-step explanation:

Elektra multiplied 8 with the inside parenthesis but it was wrong to do.

Green Goblin took 2x outside with negative sign but that is wrong

Morbius did the same mistake as Green Goblin at first step but then corrected it in the second step, still it's wrong

Answer:

I believe 31 dollars and 95 cents

Step-by-step explanation:

Marie would earn $37.2 in 4 1/2 hour.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas. This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Marie charges a $10.75 base fee for each dog she walks,

and, additional $7.10 per hour that she walks the dog.

Each day she spends $5.50 on dog treats.

So, if Marie works for 4 1/2 hour then she can earn

= 10.75 + 4 1/2 x 7.1 - 5.5

= 10.75 + 4.5 x 7.1 - 5.5

= $37.2.

Hence, Marie would earn $37.2.

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Answer:

86

Step-by-step explanation:

At G and E

Answer:

= 1/c

Step-by-step explanation:

Apply the sum/Different Rule: ( f + g ) ' = f ' + g'

= d/dx (x/c) + d/dx (b)

d/dx (x/c) = 1/c

d / dx (B) = 0

= 1/c + 0

Simplify = 1/c

Answer: 5, because if x=5 then the denominator would be equal to 0 which is not possible.

Answer:

79

Step-by-step explanation:

       78

         ---------

7 |       62 03 

          49

         ----------

148 |   13 03

          11 84

         -----------

            19

         -----------

78^2 = 6084.

We observe that 78^2 < 6203.

79^2 = 6241.

We observe that 79^2 > 6203.

Hence the number to be added to 6203 is 6241 - 6203 = 38.

6203 + 38 = 3241

                  = 79 * 79

                  = 79.

Therefore 38 should be added to 6203 to obtain a perfect square.

Answer:

The answer is 40 Pints.

Step-by-step explanation:

The answer is 40 because 1 gallon equals 8 pints. So 5 times 8 is 40.

P.S Can I have brainliest?

Answer:

-2

Step-by-step explanation:

i took the test

Answer:

x = 51°

Step-by-step explanation:

The image of the triangle is an isosceles triangle. Since it is an isosceles triangle, ∠DFE = ∠FDE.

78 + x + x = 180

=> 2x = 102

=> x = 51°

Hoped this helped.

Answer:

well if the area dimensions are correct it will be 7040 sq ft according to what is above the question, but what i see it doesn't give you anything to go off of

Step-by-step explanation:

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Basketball court area in meters scale :

\(15 \times 28 = 420 \: \: {m}^{2} \)

_________________________________

Basketball court area in foot scale :

\(50 \times 94 = 4700 \: \: {ft}^{2} \)

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Answer:

The area is 200.96 in^2

Step-by-step explanation:

Answer:

200.96 in^2

Step-by-step explanation:

circle area formula is πr^2

radius = diameter / 2, radius is 8

8^2.π  = 64π  

π  = 3,14

final answer is 64 X 3.14= 200.96 in^2

Answer:

7/11

Step-by-step explanation:

Both the numerator and denominator are divisible by 21.

so:

147 divided by 21 = 7

231 divided by 21 = 11.

When they are re-assembles to a fraction = 7/11

Hope this helps.

Please mark brainiest

Answer:

x=2

Step-by-step explanation:

f(x)=x²+4

f(x)=4x

x²+4=4x

x²-4x+4=0

using formula method

x=-b±√b²-4ac/2a

solving

x=2

Your answer is 2,100, because you first get 3,000, then times 7 which equals 2,100, hope that helps.

Answer:

21,000

Step-by-step explanation:

7 * ( 100 * 30)

7* 300

21000

The solution of the equation x^ay! + 5xy + (4 + x)y = 0, where x > 0, can be represented as a power series of the form y = ΣCnx^n, where C0 = 1 and Cn = 0 for n = 1, 2, 3, ...

To find the solution of the equation x^ay! + 5xy + (4 + x)y = 0, we can represent the solution as a power series expansion of the form y = ΣCnx^n, where Cn is the coefficient of x^n and n ranges from 0 to infinity. Plugging the power series into the equation, we get:

x^a*(ΣCnx^nn!) + 5x*(ΣCnx^n) + (4 + x)(ΣCn*x^n) = 0

We can then collect the terms with the same powers of x:

ΣCnx^(n+a)n! + Σ5Cnx^(n+1) + Σ(4 + x)Cnx^n = 0

For the equation to hold true for all powers of x, each term with the same power of x must be zero. Therefore, we can determine the coefficients Cn for each power of x. For n = 0, the term ΣCnx^a0! simplifies to C0x^a0! = C0*x^a. Since the equation must hold for all x > 0, the coefficient C0 must be non-zero. Therefore, C0 = 1. For n = 1, the term Σ5Cnx^2 simplifies to 5C1x^2 = 0. Therefore, C1 = 0. Similarly, for n = 2, 3, 4, ... , the terms involving Cn will also be zero, as they are multiplied by powers of x. Hence, the solution of the equation x^ay! + 5xy + (4 + x)y = 0 can be represented as y = C0x^a = x^a, where a is a positive real number, and the coefficients Cn are zero for n = 1, 2, 3, ....

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The graph that models the scenarios must increase upwards since it is a growth rate.

Given the exponential function expressed as:

f(x)=250(1.10)^x-4

where

x is the time taken

The graph that models the scenarios must increase upwards since it is a growth rate. The required graph is as shown below;

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Answer:

D on edge

Step-by-step explanation:

Answer:

0.78 x 10^ 0

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

Simultaneously solve the question.

hopefully the picture is clear and understandable

:)

Answer:

polygon has 12 sides

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

the sum of the interior angles of a polygon is

sum = 180° (n - 2 ) ← n is the number of sides

given the sum of the interior angles is 5 times sum of exterior angles, then

sum = 5 × 360° = 1800° then

180° (n - 2) = 1800 ( divide both sides by 180 )

n - 2 = 10 ( add 2 to both sides )

n = 12

Thus the polygon has 12 sides

Answer:  f(2) is 3.

Step-by-step explanation:

f(2) just means "what is the vale of the function, f, when x = 2?  Look for x=2 and read the y value where the line crosses x=2, in this case, the y value is 3.  So f(2) = 3.

======

[One could also determine the equation for the line.  Provided below.]  

The slope is -(1/2) and the y-intercept is 4:

y = -(1/2)x + 4

For x=2,

y = -(1/2)*(2) + 4

y = 3  

y(2) = 3  

Step-by-step explanation:

The equation of the line with a slope of 0 is y=c, where c is a constant.

As the line passesvthrough a pt with a y coordinate of 9, the equation is y=9.

The pair of angles (67° and 23°) are both complementary angles.

An angle is formed from the intersection of two or more lines at a common point. There are different types of angles such as complementary, supplementary, acute, obtuse.

Two angles are said to be complementary if they add up to 90 degrees. From the diagram:

67 + 23 = 90° (complementary)

Therefore the pair of angles (67° and 23°) are both complementary angles.

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Answer:

34

Step-by-step explanation:

a - 54 ÷ b =

40 - 54 ÷ 9 =

40 - 6 =

34

The answer is 34.

Step-by-step explanation:

All you have to do is evaluate. (plug in the #'s)

a-54/9 can be changed to

40-54/9

54/9=6 and 40-6=34

After simplification, we can express the given expression as "Negative twelve and one-half."

Option (B) is correct.

What is a simplification in mathematics?

In mathematics, simplification refers to the process of making an expression or equation simpler or easier to understand or work with. This can involve combining like terms, removing unnecessary terms or factors, or rearranging the order of the terms.

To simplify the expression: Negative two and one-third minus negative ten and one-sixth, we will convert the mixed numbers to fractions and then perform the subtraction.

First, we convert the mixed numbers to fractions:

Negative two and one-third = -2 + (1/3) = -2 + 1/3

Negative ten and one-sixth = -10 + (1/6) = -10 + 1/6

Then we perform the subtraction:

(-2 + 1/3) - (-10 + 1/6) = -2 -10 + 1/3 - 1/6 = -12 + 2/6 + 1/6 = -12 + 3/6 = -12 + 1/2

So the simplified expression is Negative twelve and one-half.

Hence, after simplification, we can express the given expression as "Negative twelve and one-half."

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Answer:

-9 < x <= 2

Step-by-step explanation:

doesn't include -9 so less then sign

includes 2 so greater than or equal to sign

He wash 12 cars in 9 hours.

And, He take 45 minutes to wash a car.

And, He wash one and one third part of cars in one hour.

Given that;

Leonard can wash 6 cars in 4.5 hours.

He always washes cars at this same rate.

We have to find number of wash cars in 9 hour and time to wash one car and number of wash cars in one hour.

What is relation between hour and minutes?

The relation between hour and minutes is ;

1 hour = 60 minutes.

Now, we have;

Leonard can wash 6 cars in 4.5 hours.

Time for wash 6 cars = 4.5 hour

So, Time for wash 1 car = 4.5 ÷ 6 = 0.75 hour

Since, 1 hour = 60 minutes

Hence, Time for wash 1 car = 0.75 x 60 = 45 minutes

And, In time 4.5 hour, number of wash cars = 6

So, In 1 hour, number of wash cars = 6/4.5 = 1 1/3

Hence, Number of wash cars in one hour is one and one third part of car.

In 9 hour, number of wash cars = (6/4.5) * 9 = 12

Hence, Number of wash cars in 9 hours is 12.

So, He wash 12 cars in 9 hours.

And, He take 45 minutes to wash a car.

And, He wash one and one third part of cars in one hour.

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The maximum monthly profit Mt. Nittany is  $23,100 and, for Happy Valley Rentals,  monthly profits will be approximately $23,100.

(a) To find the number of apartments Mt. Nittany should rent out each month to maximize profits, we need to find the vertex of the quadratic function P(x) = -7x^2 + 980x - 10900.

The x-coordinate of the vertex is given by -b/2a, where a = -7 and b = 980. So, x = -b/2a = -980/(2*(-7)) ≈ 70.

The maximum monthly profit is obtained by plugging this value of x into P(x), giving P(70) = -7(70)^2 + 980(70) - 10900 ≈ $23,100.

(b) Similarly, for Happy Valley Rentals, we need to find the vertex of the quadratic function P(x) = -7x^2 + 980x - 10900 when they manage 50 apartments.

The x-coordinate of the vertex is again given by

b/2a, where a = -7 and b = 980, but now we have x = -b/2a = -980/(2*(-7)) ≈ 70.

The maximum monthly profit is obtained by plugging this value of x into P(x), giving P(70) = -7(70)^2 + 980(70) - 10900 ≈ $23,100.

Therefore, both companies should rent out 70 apartments each month to maximize their profits, and their maximum monthly profits will be approximately $23,100.

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Answer:

yes, it is.

Step-by-step explanation:

110,571 divided by 3 is 36857. So, since the answer is not a decimal or a fraction, 110,571 is divisable by 3

After finding the value of the angle CAE will be equal to 22°.

The basic polygonal shape of a triangle has three sides & three interior angles. This is one of the fundamental shapes in geometry and is particularly associated. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.

As per the information provided in the question,

 The perpendicular bisector of side AB of ABC intersects side AB at point D and BC at point E in the ABC equation. Also, m∠CAB = 82° and m∠C = 68°.

Join A and E.

In Δ ABC

∠A+∠B+∠C = 180° (Angle sum property of triangle.)

82°+∠B+68° = 180°

∠B = 180°-150°

∠B =30°

In Δ ADE and Δ BDE

AD=B D(DE shown is a perpendicular bisector.)

∠ADE =∠BDE = 90°

DE is common.

Δ ADE ≅ Δ EDB (By using the property SAS)

∠DEB=∠D A E [By using the property CPCT]     (1)

In Δ DBE

∠EDB + ∠DBE+∠BED = 180°

90° +30°+∠BED = 180°

∠BED = 180°-120°

∠BED = 60°

So, ∠BAE=∠BED=60° (By using equation 1)

∠CAE=∠CAB - ∠BAE

∠CAE = 82°-60°

∠CAE = 22°.

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(a) The P-value of z₀ = 2.05 is 0.040364431

(b) The P-value of z₀ = -1.84 is 0.065768237

(c) The P-value of z₀ = 0.4 is 0.689156517.

What is the hypothesis?

A hypothesis is a notion that is consistent with available data but has not been proven true or wrong. A hypothesis (also known as a statistical hypothesis) is a statement on which hypothesis testing will be based in statistics.

Here, we have

Given: For the hypothesis test H₀: μ = 7 against H₀: μ ≠ 7 and variance is known.

We have to calculate the P-value.

(a) We have to calculate the P-value of z₀ = 2.05

P(z<-z₀ or z >z₀) = 0.040364431

Hence, the P-value of z₀ = 2.05 is 0.040364431

(b)  We have to calculate the P-value of z₀ = -1.84.

P(z<-z₀ or z >z₀) = 0.065768237

Hence, the P-value of z₀ = -1.84 is 0.065768237

(c) We have to calculate the P-value of z₀ = 0.4

P(z<-z₀ or z >z₀) = 0.689156517

Hence, the P-value of z₀ = 0.4 is 0.689156517.

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