The hospital shop buys cereal bars in packs of 4. In one day they sell 58 cereal bars. How many packets did they open tht day?

Answer:

Option 2

Step-by-step explanation:

When completing a proof, the statements and reasons should be directly connected. Since the reason listed next to the missing statement is Def of Complimentary Angles, the statement must be about angles adding to 90 degrees. The definition of Complimentary Angles is that two angles add to 90. This means option 2 is the answer.

Answer: C

Step-by-step explanation:

A rectangle has 90° angles.  So, the diagonal cuts the rectangle into two right triangles where the length (base) and the width (side) are the legs of the right triangle and the diagonal is the hypotenuse. Thus, the Pythagorean Theorem can be used: (leg a)² + (leg b)² = (hypotenuse)²

14² + 6² = hypotenuse²

196 + 36 = hypotenuse²

232 = hypotenuse²

√232 = √hypotenuse²

15.23 = hypotenuse

Simple interest rate = 3%.

Since the given invested amount = $5000, number of years of investment = 4 years, interest earned = $600. 600 = 5000 × R × 4, 600 = 20000R, Dividing both sides by 20000, we get 0.003 which is 3%.

Answer:

3

Step-by-step explanation:

Answer:

z1=3 cos (52 + i sin 52)

z2 =3 cos (124 + i sin 124)

z3 = 3 cos (196 + i sin 196)

z4 =3 cos (268 + i sin 268)

z5= 3 cos (340 + i sin 340)

Step-by-step explanation:

To find the fifth roots of 243 (cos 260° + i sin 260°).

z ^ 1/5 = r^1/5 ( cis ( theta + 360 *k)/5)  where k=0,1,2,3,4

So the first root of 243 (cos 260° + i sin 260°)  

is z1 =  243^1/5 ( cis ( 260 + 360 *0)/5)  

          3 cis ( 260/5)

        = 3 cis (52)

        = 3 cos (52 + i sin 52)

The second root of  243 (cos 260° + i sin 260°)  

is z2 =  243^1/5 ( cis ( 260 + 360 *1)/5)  

          3 cis ( 620/5)

        = 3 cis (124)

        = 3 cos (124 + i sin 124)

The third root of  243 (cos 260° + i sin 260°)  

is z3 =  243^1/5 ( cis ( 260 + 360 *2)/5)  

          3 cis ( 980/5)

        = 3 cis (196)

        = 3 cos (196 + i sin 196)

The fourth root of  243 (cos 260° + i sin 260°)  

is z4 =  243^1/5 ( cis ( 260 + 360 *3)/5)  

          3 cis ( 1340/5)

        = 3 cis (268)

        = 3 cos (268 + i sin 268)

The fifth root of  243 (cos 260° + i sin 260°)  

is z5 =  243^1/5 ( cis ( 260 + 360 *4)/5)  

          3 cis ( 1700/5)

        = 3 cis (340)

        = 3 cos (340 + i sin 340)

When you divide you number actually gets bigger.

You flip the last number in the question and then turn it in to a multiplication problem and then solve!!

Hope I could help!!!

Brainiest??

Answer:

She can make nine gallons. (9)

Step-by-step explanation:

Just took the assignment!

Factor theorem: if x-k is a factor of p(x), then p(k) = 0. The same can be said in reverse: if p(k) = 0, then x-k is a factor of p(x).

In this case, x-1 = x-k so k = 1. We'll plug this into f(x) below

f(x) = 14x^99 - 65x^56 + 51

f(1) = 14(1)^99 - 65(1)^56 + 51 ... replace every x with 1

f(1) = 14(1) - 65(1) + 51

f(1) = 14 - 65 + 51

f(1) = -51 + 51

f(1) = 0

The result is 0, so h(x) = (x-1) is a factor of f(x) = 14x^99-65x^56+51

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Answer: Choice A) yes

Answer:

You didn't give enough information for an actual answer, but here's the formula: (x-a)^2 + (y-b)^2 = ((z-c)R)^2 where (a,b,c) is the vertex. Good Luck. Hope this was helpful.

Answer:

Step-by-step explanation:

It's solved by grafic method

Answer:

y=-3x+5

-3 is y ntercept

Answer:

An outlier is the piece of data that isnt quite the same or near the others.

Step-by-step explanation:

so the outlier would be 28 due to the fact that it is not quite close to the other part of the data

Answer:

28

Step-by-step explanation:

An outlier is something that's way off compared to the rest of the group, basically. Like a person who stands out, but in this case it's a number.

The numbers listed here are all near 40 except 28. So 28 is the outlier, or the 'odd one out.'

Answer:

Step-by-step explanation:

Set up the equation: 2x+37+3x+y=180 ⇒ 4x+y=143

2x+y+3y-21=180 ⇒2x+4y=201.

Solving for x and y, you get that y=37, thus making x=26.5

Now, for b to be perpendicular to a, 2x+37 must equal 90.

2*26.5+37=90, so b is perpendicular to a.

Whether 'b' is perpendicular to 'a' is determined by their dot product. If the dot product of 'b' and 'a' is zero, then 'b' is perpendicular to 'a'. However, without knowing the specific components of these vectors, a precise computation can't be made.

In mathematics, particularly in vector algebra, vectors are said to be perpendicular or orthogonal if their dot product is zero. This is because the dot product of two vectors encapsulates the angle between them, defined as A·B = |A||B|cos(θ), where θ is the angle. If θ is 90 degrees (indicating the vectors are perpendicular), cos(θ) becomes 0, thus the dot product should be zero.

Therefore, to determine whether 'b' is perpendicular to 'a', we need to compute their dot product. If their dot product equals zero, then we can conclusively say that 'b' is perpendicular to 'a'. Beyond this, you'd need to provide the components of vectors 'a' and 'b' for a specific computation.

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This is an exponential function. Since each year the value of the bike decreases by 5%, each year, the value of the bike is 100%-5%=95% of it's original value. So after x years, the value of the bike would be 200(0.95)^x.

Answer:

(200 - (200 x 5 / 100))^Y

Step-by-step explanation:

As the initial value of the bike is $200, that would be a fixed number in our equation. Each year, this will lose 5% of its value, therefore, it would be another fixed value in it. Then, we have to exponentiate it by the number of years that have passed since the initial value (Y). As a result, the equation to model the situation would be this one:

(200 - (200 x 5 / 100))^Y

Answer:

(-4,1)

Step-by-step explanation:

A system of equations is 2 or more equations for which the same x,y solution exists. We can solve the system in three ways: elimination, substitution, or graphing. Substitution can be used by substituting the value of one variable into the equation.

Pair 2.5x-3y=-13 and 3.25x-y=-14

We can solve for y in 3.25x-y=-14. 3.25x+14=y.

Because y=3.25x+14, we can substitute 3.25x+14 into y in 2.5x-3y=-13.

2.5x-3y=-13

2.5x-3(3.25x+14)=-13

2.5x-9.75x-42=-13

-7.25x-42=-13

-7.25x=29

x= -4

We now substitute x=-4 into y=3.25x+14

y=3.25x+14

y=3.25(-4)+14

y=-13+14

y=1

To solve the system by substitution, solve one equation for one variable and then substitute that expression into the second equation. Solve the resulting equation and then substitute the solution back into one of the original equations to find the other variable.

Given the equations:

Let's find the value of 'x' from the second equation:

y = 3.25x + 14

This formula for 'x' can be substituted into the first equation, resulting in a new equation:

2.5(3.25x + 14) - 3y = -14,

This equation can be simplified and solved to find the variable 'y'. The value of 'y' can then be substituted back into the original equation to find the value of 'x'.

The solution to these two equations, (x, y), is the point of intersection which describes the system of the original equations.

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Final answer:

The converse of the statement is "If two angles are equal, then the two angles are both obtuse."

Explanation:

Converse of the Statement:

To write the converse of the statement 'if two angles are both obtuse, the two angles are equal,' we need to swap the hypothesis and the conclusion.

The converse statement would be: 'If two angles are equal, then the angles are both obtuse.'

Example:

Let's consider two angles, Angle A and Angle B. If Angle A and Angle B are both equal, then we can conclude that both angles are obtuse.

Answer:

RS 34000

Step-by-step explanation:

Price of the car = RS 23500

Profit = RS 10500

Selling price of the car = Price of the car + Profit

= Rs 23500 + RS 10500

= RS 34000

Find the ratio of the two similar sides that both dimensions are given.

The smaller triangle aide that is 4 units is the similar side of the larger triangle given as 8 units.

8 / 4 =2, this means the larger triangle is 2 times the size of the smaller triangle, which also means the smaller triangle is 1/2 the size of the larger triangle.

X on the smaller triangle is 1/2 11 units which equals 5.5 units.

Y is 2 times 3, which equals 6 units.

x = 5.5

y = 6

Answer: The common denominator for 3/8 and 1/3 is 24

Step-by-step explanation:

3/8 and 1/3 can be multiplied by each other in the numerator and denominator: 3/8(3/3) = 9/24 and 1/3(8/8) = 8/24

Answer:

m ≠5

Step-by-step explanation:

We cannot divide by zero, so the denominator cannot equal zero.  That is the only restriction on the domain.

4m-20 ≠ 0

Add 20 to each side

4m-20+20 ≠20

4m ≠20

Divide each side by 4

4m/4 ≠20/4

m ≠5

Answer:

m ≠ 5

——

Step-by-step explanation:

Make the equation equal to zero.

4m - 20 = 0

Solve for the restriction.

4m - 20 = 0

Add 20 to both sides.

4m = 20

Divide both sides by 4.

m = 5

Answer:

m ≠ 5

Answer:

10

Step-by-step explanation:

jose is x,so the penelope is 4x, eliot is x-3,

so :

x+4x+x-3=57,

then:

6x=60, x=10

Answer:

15x + 150

Step-by-step explanation:

Answer:

x=22, y=48

Step-by-step explanation:

If this is an isosceles triangle, then <G is equal to <J

<g = <j

x+44 = 3x

Subtract x from each side

x+44-x = 3x-x

44= 2x

Divide each side by 2

44/2 = 2x/2

22= x

The three angles of a triangle add to 180 degrees

<G + <J + <H = 180

x+44 + 3x + y = 180

22+44 +66 + y = 180

Combine like terms

132+ y =180

Subtract 132 from each side

132-132+y = 180-132

y = 48

Answer:

3250 is your total; p = 50n + 1900 is your equation.

Step-by-step explanation:

"p" represents total pay; "n" represents the number of copies he sells.

Base salary is 1900, and each copy sold gives him an extra 50

p = 50n + 1900 is your equation.

If he sells 27 copies. Plug in 27 for n

p = 50n + 1900

p = 50(27) + 1900

Simplify. Remember to follow PEMDAS. First, multiply, then add.

p = 50(27) + 1900

p = 1350 + 1900

p = 3250

~

Answer:

the answer is 3 in.3

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

You just have to find out whats 1/3 of 96

just divided 96 by 3 to get 32