A regular-size box of dog treats measures 314 inches by 712 inches by 12 inches. The manufacturer also sells a small-size box that has a volume that is 310 of the volume of the regular-size box.

What is the volume of the small-size box of dog treats?

Enter your answer as a mixed number in simplest form by filling in the boxes.


(its going to be a mixed number) in³

Answer:

  y = 1·cos(π/3·x) +3

Step-by-step explanation:

The general form of the trig equation will be ...

  y = (amplitude)·cos(2π/(period)·x) +(midline shift)

__

You have already determined correctly that the midline shift is 3 units.

The amplitude is the difference between the peak value (4) and the midline, so is ...

  amplitude = peak - midline = 4 -3 = 1

The period is the horizontal distance between corresponding parts of the graph. Here, the distance between peak values is 6 units, so the period is 6. That means the argument of the cosine function is ...

  (2π)/6·x = (π/3)·x

__

The function you are looking for is ...

  [tex]y=1\cdot\cos\left(\dfrac{\pi}{3}x\right)+3[/tex]

Answer:

[tex]y=\boxed{1}\: \cos(\:\boxed{1}\:x)+\boxed{3}[/tex]

Step-by-step explanation:

General form of cos periodic function:

y = A cos(B(x + C)) + D

where:

Parent function → y = cos(x)

The parent function y = cos(x) has a center line at y = 0.

The center line of the new function is at y = 3, so the parent function has been shifted vertically by 3 units.  Therefore, D = 3:

⇒ y = A cos(B(x + C)) + 3

The amplitude of the parent function is 1.

The amplitude of the new function is also 1.  Therefore, A = 1:

⇒ y = 1 cos(B(x + C)) + 3

The parent function has a peak at x = 0.

The new function has a peak at x = 0.  Therefore there has been no horizontal phase shift, so C = 0:

⇒ y = 1 cos(B(x + 0)) + 3

⇒ y = 1 cos(Bx) + 3

Finally, from inspection of the curve, the period appears to be 2π (6.28)

2π/B = 2π  so  B = 1

⇒ y = 1 cos(1x) + 3

Please see attached graph for reference.

Answer:

90°

Step-by-step explanation:

This is important to remember, the three interior angles will always have a sun of 180.

knowing this it’s pretty basic math

a + b + c = 180

33 + 57 + c = 180

90 + c = 180

[subtract 90 from each side (90 cancels out)]
c = 90°

…

Check
- > 33 + 57 + 90 = 180

33 + 147 + = 180

180 = 180

Check!

Answer:

28815.3333333

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

A. 64

Step-by-step explanation:

In this problem, you're trying to find out what b is.

With the information that you have, you know that the answer will be 16, and your denominator (what you'll be dividing by) is 4. What you got wrong in this was thinking of it as "what times 4 equals 16", to which you got the answer 4 because 4*4=16. But, that's not exactly what you're supposed to be doing.

If we looked at it like that in this problem, you'd have b=4, making the equation then look like 4/4=16. This isn't true because 4/4=1.

Instead, to get the correct answer, you'll be multiplying 4, the denominator, by 16, our solution. With this, you'll get the answer A. 64.

If you have any more questions, feel free to reach out for help.

Answer:

We are given an equation of [tex]\frac{b}{4} = 16[/tex] and we need to determine what b is.  The way that we would do this is what you did and we would multiply both sides by 4 which would get rid of the 4 in the fraction and this would end up multiplying 16 by 4 giving us [tex]b=64[/tex].  This would best match with option A which is 64.

Hope this helps!  Let me know if you have any questions

The total amount collected over the life of the bond is $7,500.

A bond is a debt instrument that entitles its holder to regular interest payments. At the end of the life of the bond, the bondholder receives the amount invested back.

Total earnings = interest + amount invested

(20 x 0.025 x 5000) = $2500

Amount invested = $5000

= 2500 + 5000 = $7,500

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Answer:

30 & 60°

Step-by-step explanation:

2x + X + 90 = 180

3x = 90

X = 30°

so the accute angles are 30° and 60°

This value is exact.

===============================================================

Explanation:

Use your favorite spreadsheet app to form a third column of values. This new column will be the result of multiplying the original two columns.

For instance, we have x*P(x) = 10*0.534 = 5.34 as the first entry of the new column. The other rows are treated in a similar manner. Refer to the screenshot below..

After getting that third column set up, add up those results. The sum is the expected value (aka the mean mu, which is the symbol [tex]\mu[/tex])

5.34 + 3.86 + 4.2 + 3.4 + 2.4 = 19.2

The Jocelyn needs to pay $87.5 if Jocelyn order cakes from store B if store A charges $1.50 per serving plus a $25.00 delivery charge. Store B charges $2.25 per serving and no delivery charge.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the total cost is $x if Jocelyn purchase cake from store A:

x = 1.50×150 + 25

x = 225+25 = $250

Let's suppose the total cost is $y if Jocelyn purchase cake from store B:

y = 2.25×150

y = $337.5

Difference between total cost = 337.5 – 250 = $87.5

Thus, the Jocelyn needs to pay $87.5 if Jocelyn order cakes from store B if store A charges $1.50 per serving plus a $25.00 delivery charge. Store B charges $2.25 per serving and no delivery charge.

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Answer:

0 ≤ y ≤ 8

Step-by-step explanation:

DOMAIN is x values of a function/graph

RANGE is the y-values that a function can have .....

     this one goes from 0 to 8 inclusive

Answer:

m∠1 = 83

m∠2 = 97

m∠3 = 83

m∠4 = 97

m∠5 = 83

m∠6 = 97

m∠7 = 83

Step-by-step explanation:

When two lines are parallel,

m∠8 = m∠4 = 97 ( Alternate interior angles )

m∠8 = m∠2 = 97 ( Alternate interior angles )

m∠6 = m∠4 = 97 ( Vertically opposite angles )

m∠2 and m∠3 are linear pair angles,

m∠2 + m∠3 = 180

97 + m∠3 = 180

m∠3 = 180 - 97

m∠3 = 83

m∠1 = m∠3 = 83 ( Vertically opposite angles )

m∠3 = m∠7 = 83 ( Alternate interior angles )

m∠7 = m∠5 = 83 ( Vertically opposite angles )

The sum of angle ∠FEC and angle ∠ECF is 90°. Then they are complementary angles.

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

DE is tangent to circle C, at point F.

Then prove that angle ∠FEC and angle ∠ECF are complementary angles.

We know that the radius of the circle and the tangent on the circle make a right angle at the circumference.

Then angle ∠EFC will be 90°.

The sum of all interior angles of the triangle is 180°. Then we have

∠FEC + ∠ECF + ∠EFC = 180°

  ∠FEC + ∠ECF + 90° = 180°

            ∠FEC + ∠ECF = 90°

The sum of angle ∠FEC and angle ∠ECF is 90°. Then they are complementary angles.

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Answer:

512 cubic inches

Step-by-step explanation:

[tex] \sqrt[3]{64} = 4[/tex]

[tex] {8}^{3} = 512[/tex]

Answer:

a.i.

[tex]mab = \frac{ya - yb}{ xa - xb} = \frac{8 - 4}{9 - 12} = \frac{4}{ -3} [/tex]

a.ii.

[tex]mc = mab = \frac{4}{ - 3} \\ (y - y1) = m(x - x1) \\ y - ( - 2) = \frac{4}{ - 3}(x - 4) \\ y + 2 = \frac{4}{ - 3}x + \frac{16}{3} \\ y = \frac{4}{ - 3} x + \frac{16}{ 3} - 2 \\ y = \frac{4}{ - 3}x + \frac{10}{3} [/tex]

Based on the SAS congruence criterion, the statement that best describes Angie's statement is:

Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.

An included angle is found between two sides that are under consideration.

See image attached below that demonstrates two triangles that are congruent by the SAS Congruence Theorem.

Thus, two triangles having two pairs of corresponding sides and one pair of corresponding angles that are congruent to each other is not enough justification for proving that the two triangles are congruent based on the SAS Congruence Theorem.

The one pair of corresponding angles that are congruent MUST be "INCLUDED ANGLES".

Therefore, based on the SAS congruence criterion, the statement that best describes Angie's statement is:

Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.

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Answer:

c.9.5

Step-by-step explanation:

im awesome so so very

Answer:

1.2

Step-by-step explanation:

{2.8, 0.75, +1.2}

Median: 1.2

Answer:  4.75

Step-by-step Explanation

Answer:

$8.78

Step-by-step explanation:

first you need to find 20% of $175.50

which is 35.10

then you divide 35.10 by 4 leaving you with 8.78

please mark brainliest

The value for the test statistic and the p value on the test when the researcher wanted to see if different breeds of dogs will be x² = 0.9421 and 0.05 < p value < 0.10.

From the information given, the null hypothesis is that the variables have no difference while the alternative hypothesis is that they have a difference.

The degree of freedom will be:

= (3 - 1) × (3 - 1)

= 4

The critical value is 9.4877. In this case, the p value is greater than the significance level. Therefore, we fail to reject the null hypothesis.

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Answer:

Step-by-step explanation:

From Khan

Answer:

f(x ) ----> Output

x     -----> Input

-5  -------> Slope

2  --------> y -intercept

Step-by-step explanation:

f(x)  = -5x + 2

Compare this with y = mx + b

m = slope =  co efficient of x

b =  y-intercept = constant term

f(x ) ----> Output

x     -----> Input

-5  -------> Slope

2  --------> y -intercept

Answer:

A) -7 is the least

Step-by-step explanation:

A)  (-5) + (-2) = (-7)

If two numbers have same sign, add and the result will have the common sign.

b) (-5) ÷ (-2) = 2.5

In division negative number divided by another negative number will give a positive number.

c) (-5)*(-2) = 10

In multiplication multiplication of two negative numbers will give a positive number.

d) = -5

In these (-7) is the least integer

Answer:

30 mm, 2.5cm,20cm and 1m

The amount of force it takes to push Jeff’s race car will be 1875 Newtons.

Force is explained as the multiplication of mass and acceleration. Its unit is N. It is the external agent which helps to change the shape and size of an object.

The formula of force will be

F = ma

Where m is the mass of the body and a is the acceleration of the body.

Then the amount of force it takes to push Jeff’s race car if the mass of the race car is 750 kg and the acceleration is 2.5 meters per square second.

Then we have

F = 750 x 2.5

F = 1875 Newton

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Answer:

yes

Step-by-step explanation:

the slope stays constant throughout

Answer:
56

Step-by-step explanation:

with Usain Bolt getting the the first place there is only 9 other contestants that can get the two other available medal position. When the second place is taken, there will be 8 remaining contestants for a third place therefore you do 9 multiplied by 8 to get 56 differrent combinations of contestants for the third or second place medal