A baker made 326 cupcakes. Cupcakes are packed 4 per box

Answer:

6 and 15

Step-by-step explanation:

n1 + n2 = 21

2(n1) + 3 = n2

n1 = 6

n2 = 15

6 + 15 = 21

Answer:

34 m²

Step-by-step explanation:

Given,

Height ( h ) = 17 m

Base Area ( A ) = 6 m²

To find : Volume of Pyramid

Formula : -

Volume of Pyramid = Ah / 3

Volume of Pyramid

= 17 x 6 / 3

= 17 x 2

= 34 m²

Hence,

The Volume of pyramid is 34 m².

The corresponding z score for a grade of 81.8% for a class with average grade of 83% and standard deviation of 4.2% is -0.29.

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean) / standard deviation

Given that mean is 83%, standard deviation = 4.2%, for x = 81.8:

z = (81.8 - 83)/4.2 = -0.29

The corresponding z score for a grade of 81.8% for a class with average grade of 83% and standard deviation of 4.2% is -0.29.

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Answer:

What is the Value of Cot 75 Degrees in Terms of Tan 75°? Since the cotangent function is the reciprocal of the tangent function, we can write cot 75° as 1/tan(75°). The value of tan 75° is equal to 2 + √3.

Answer:

12345.6

Step-by-step explanation:

when dividing by 10, just move the decimal point one time to the left. 123456 is changed to 12345.6

Answer: i am 90% sure its 75 milligrams (mg) a day for women and 90 mg a day for men.Step-by-step

explanation: i hope this helps

(a) Check the graph given below.

(b) 9 is located to the right of -6

(c) complete the statement: 9 > -6

Answer: 16.8

Step-by-step explanation:

2:25 = X:210

210/25 = 8.4

Multiply 8.4 by 2

Answer: Draw 41 circles and then divide them among her five friends.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

I cannot see number 5 question there are many question please clarify

If the plane of the loop is perpendicular to the magnetic field then the θ will be zero. Then the torque will also be zero.

The torque that may cause an item to revolve along an axis is measured as torque. The axis of rotation is the point at which the item rotates.

A rectangular coil of wire, 22.0cm by 35.0cm and carrying a current of 1.95 Ampere, is oriented with the plane of its loop perpendicular to a uniform 1.50 Tesla magnetic field.

Then the torque that the magnetic field exerts on the coil will be

The torque is given as

[tex]\rm \tau = I \overrightarrow{A} \times \overrightarrow{B}[/tex]

The strength of magnetic torque on the current-carrying circle is given by θ: if θ is the angle between A and B. Then we have

[tex]\rm \tau = I AB \sin \theta[/tex]

When the loop plane is perpendicular to the magnetic field, the amplitude of magnetic torque on the current-carrying circle is zero.

Then θ = 0

Then we have

[tex]\rm \tau = I AB \sin 0\\\\\tau = 0[/tex]

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Answer:

[tex]6\pi[/tex] in

Step-by-step explanation:

The formula to find the area of a circle: [tex]\pi r^{2}[/tex], where [tex]r[/tex] is the radius.

The formula to find the circumference (perimeter) of a circle: [tex]2\pi r[/tex], where [tex]r[/tex] is the radius.

1) To find the circumference of the circle, we need to find the radius ([tex]r[/tex]) first. Since the area of the circle is given to us, we need to equate this to the formula to find the area of a circle.

[tex]9\pi =\pi r^2[/tex]

Cancel the [tex]\pi[/tex] by bringing it to the other side.

[tex]9 =\pi r^2[/tex] ÷ [tex]\pi[/tex]

[tex]9 = r^2\\\sqrt{9} = r\\3 = r[/tex]

2) Find the circumference of the circle by using the formula, [tex]2\pi r[/tex].

=  [tex]2*\pi *3[/tex]

= [tex]6\pi[/tex] in

By using the Pythagorean identity the value of tan [tex]\theta[/tex] will be ∞.

tan [tex]\theta[/tex] = ∞.

Pythagorean identities are identities in trigonometry that are extensions of the Pythagorean theorem. The fundamental identity states that for any angle [tex]\theta[/tex],

[tex]sin \; ^{2} \theta + cos \; ^{2} \theta =1[/tex]

By Pythagorean Identity we have,

we have, [tex]sin \theta \; = \; -1[/tex]

So, [tex](-1)^{2} \; + \; cos^{2}\; \theta =\; 1[/tex]

[tex]\; cos^{2}\; \theta =\; 1 - \; 1[/tex]

[tex]cos^{2}\; \theta =0[/tex]

[tex]cos\; \theta =0[/tex]

Now, we know that

[tex]tan \; \theta= \frac{sin\; \theta}{cos\; \theta}[/tex]

        =  [tex]\frac{-1}{0}[/tex]

  [tex]tan \; \theta=[/tex] ∞....................... (1)

Again, tan [tex]90^{0}[/tex] = ∞

If we compare from equation (1), we have

[tex]\theta = 90^{0}[/tex]

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Answer:

64x^2-9........

Step-by-step explanation:

(8x+3(8x-3)

Answer:

V = 4/3 π (12)³

Step-by-step explanation:

The volume of a sphere is:

V = 4/3 π r³

where r is the radius.

Here, the ball has a diameter of 24 cm.  Radius is half the diameter, so r = 12.

V = 4/3 π (12)³

Answer:

127,654

Place: hundreds, Value: 600

786,540

Place: Hundred thousands, Value: 700,000

45,902

Place: ten thousands, Value: 40,000

Hope this helps!

The solution of the given expression will be equal to ( -1 / 36 ).

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The solution of the given expression will be:-

[tex]=[\dfrac{2}{7}\times \dfrac{4}{9}]-\dfrac{1}{4}+[\dfrac{2}{7}\times \dfrac{1}{3}][/tex]

[tex]= \dfrac{8}{63}-\dfrac{1}{4}+\dfrac{2}{21}[/tex]

[tex]=\dfrac{32-63+24}{252}[/tex]

[tex]=\dfrac{-1}{36}[/tex]

Therefore the solution of the given expression will be equal to ( -1 / 36 ).

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Answer:

[tex]\pi ^{3} *x^{4}[/tex]

Step-by-step explanation:

Simplifying using the exponent rule with the same base [tex]a^{n} *a^{m}[/tex]

[tex]=a^{n+m} :\pi ^{1+1+1} *\pi ^{1+1+1+1}[/tex]

Calculate the sum or difference: [tex]\pi^ {3} *x^{4}[/tex]

Answer: [tex]\pi^ {3} *x^{4}[/tex]

Step-by-step explanation:

The graph of y = √x is reflected in the y-axis, is horizontally stretched by a factor of 2, shifted 3 units up and 1 unit left. What is the equation of the transformed graph?

Original: y = √(x)

Reflected in the y-axis: y = √(-x)

Horizontally stretched by a factor of 2: y = √(-x/2)

Shifted 3 units up: y = 3 + √(-x/2)

And 1 unit left: y = 3 + √(-(x+1)/2)

The equation of the transformed function is y = (-5x)³.

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of modifying a shape's size or position.

we have, Function

y = x³

Scale factor = 1/5

Now, stretch the function horizontally by factor 1/5 then

y = (5x)³

Now, reflection of graph about y axis result change x to -x.

y = (-5x)³

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Answer:

See below

Step-by-step explanation:

π, pronounced as pi is the ratio between 2πr which is circumference to 2r which is diameter.

In word, π is circumference/diameter which has exact value of 3.14159... and it is also an irrational number too.

π is often used to be defined as 3, 3.14 or 22/7 [Keep in mind, these numbers are only approximation.] in some fields. In trigonometry, π is mostly used to refer as π radians or π rad which is equivalent to 180°.

Why do we need it? Because it’s useful in a field that requires rotation. If you notice, figure with circular base will always have π with it, the volume is an example.

In calculus, you need π to do solid of revolution method which is:

[tex]\displaystyle \large{V =\pi \int\limits^a_b {[f(x)]^2} \ dx }\\\\\displaystyle \large{V = \pi \int\limits^a_b {[g(y)]^2} \ dy}[/tex]

In trigonometry, you need it for measurement/angle.  

So anything that’s related to revolution, rotation or related to circle must require π at least.

In general life, you do not use it but this is mostly applied in engineering field and anything related to science that involves with circle or revolve.

Let me know if you have any questions!

Answer:

The maximum amount of money the chemistry club can spend without going over their buget is $81.4 ... With a total of 6 hours their allowed to use the room for.

Step-by-step explanation:

$49 is our constant and will not change. 5.40 however will. Let's use variable h for the amount hours they can rent the room for. Now we can make an inequality;

49+ 5.40h < 86.80

5.40h < 86.80

5.4h< 37.8

h< 7

Now that we know h will have to be less than seven for the chemistry club to spend less than their buget we can find that 6 is the maxium amount of hours they can spend in the room while staying within their budget.

(This answer does not consider decimals or half hours)

Answer:

-8m+24-32n

Step-by-step explanation:

-8 times m is -8m

-8 times -3 is 24

-8 times 4 is -32

put it together, you have -8m+24-32n

Answer:

∠A≅∠Y          AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X          BC≅ZX

ΔABC≅ΔYZX

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Answer: the answer is 14

Step-by-step explanation: i hope this helps :)

The value of JY is 14

According to the problem,

Y is between points J and A.

∴ JY = ( JA - YA) = (17 - 3) = 14

∴ JY = 14

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Answer:

 A) 0

Explanation:

[tex]\sf \lim _{x\to \infty }\left(\dfrac{2n^3+25n^2+32n-15}{6n^4+2n^3-11n^2-2n+17}\right)[/tex]

1) Limit does not exist when the numerator is bigger.

2) Limit is zero when the denominator is bigger.

3) Limit is the ratio of coefficients when both powers are equal.

Here, the denominator have a power of 4, bigger than the numerator.

Hence, the limit of the nth term is 0.

Answer:

90°

Step-by-step explanation:

The three angles : 45°, n°, and 45° will form a line.

A property of a line is that it creates a 180° angle.

Answer:

1,017.36

Step-by-step explanation:

To find the volume of a cylinder, you need to figure out the radius and height.

We've already been given the height, which is 9 meters.

Now let's find the radius.

To find the radius you have to divide the diameter by 2, which means 12/2, which is 6.

Now let's plug it into the formula:  [tex]V = \pi r^{2} h[/tex]

So, 3.14 x [tex]6^{2}[/tex] x 9.

Solve the exponent, giving us 36.

3.14 x 36 x 9 = the volume.

Meaning, V = 1,017.36

Hope this helped, this is my first time answering a question.

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[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

       Is g⁵•g² equal to g²⁵?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

          No, the expression is not equal to g²⁵.

Reason:-

If we multiply two numbers with the same base, we add their exponents.

So we add 5+2:

g⁽⁵⁺²⁾=g⁷

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Answer:

Bisect means to divide it into two, so you can draw a line such that both resulting sides are 45 degrees.