Determining the Length of a Rod
Jorge needs to ship a thin metal rod to a metalworking shop. The only boxes available for shipping are 7-inch cubes. To the nearest inch, what is the length of the longest metal rod that can be sent?
11 inches
12 inches
13 inches
14 inches

Answer:

The expressions x + x and 2x are equal.

[tex]the \: expressions \: (x)(x) \: and \: {x}^{2} \: are \: equal[/tex]

Answer:

An equation can have infinitely many solutions when it should satisfy some conditions. The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A linear equation does not actually have solutions; rather, we find the locus of points (   x, y = f(x)   ) and draw a straight line through them.

It is a SYSTEM of linear equations that may or may not have solution(s).  

If one equation in this system is a multiple of the other, then the two equations represent the same line and the SYSTEM has infinitely many solutions.  The graphs of the two equations coincide/overlap.

Question 1

Answer: C) First and last term

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Explanation:

Recall that (a+b)^2 = a^2+2ab+b^2 when using the FOIL rule. To go in reverse, to factor, we would apply the square root to the a^2 to get 'a', and also apply the square root to b^2 to get b. This then helps form the a+b shown on the left side.

The next question will go over a specific example of what is going on. Note that in question 2, the use of the phrasing "root of the first term" and "root of the last term" which helps reinforce we have the correct answer for problem 1.

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Question 2

Answers:

----------------

Explanation:

Apply the square root to the first term to get

sqrt(81v^2) = sqrt( (9v)^2 ) = 9v

Or you could note that (9v)^2 = (9v)*(9v) = 81v^2, from which we work in reverse when applying the square root.

Similarly, the square root of the last term is

sqrt(100) = sqrt(10^2) = 10

So that's why the answers are 9v and 10 for the blanks.

We can say:

(a+b)^2 = a^2 + 2ab + b^2

(9v+10)^2 = (9v)^2 + 2(9v)(10) + (10)^2

(9v+10)^2 = 81v^2 + 180v + 100

Answer:

35

Step-by-step explanation:

track the number to the other side of the graph

Answer:

D :)

Step-by-step explanation:

The extreme values theorem does not apply, and f(x) has a maximum but not a minimum. Option D is correct.

A graph has shown in the image, It is to determine whether the extreme value theorem applies.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

The extreme value theorem comprises that if a function is continuous on a defined interval [a,b], then the function must have a maximum and a minimum in the interval. Since in the graph the function does not have the minimum and is not defined for the closed interval. The function has a maximum on the left side of the graph but starts with the discontinuity on the left side so the Extreme value theorem does not hold.

Thus, The extreme values theorem does not apply, and f(x) has a maximum but not a minimum.

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Answer:

36.56 in

Step-by-step explanation:

perimeter is the sum of all sides

u add all the sides of the square by 6

6+ 6 + 6 + 6 = 24

circumference is the line around the circle

circumference = 3.14 x diameter

c = 3.14 x 4

c = 12.56

24 + 12.56 = 36.56

to the NEAREST HUNDREDTH????? ok welll thats alr

remember

5 or more, raise the score

4 or less, let it rest

this should be fine since the last 6 is alr in the hundredth place :)

like this up !!

Answer:

35.5m

Explanation:

Find the diagram attached

First you need to get the missing side of the triangular pool using the pythagoras theorem;

Let the missing side be x

x² = 15² - 13²

x² = 225 - 169

x² = 56

x = √56

x = 7.48m

Amount of meter of fence needed is the perimeter of the triangular pool

perimeter of the triangular pool = 15 + 13 + 7.48

perimeter of the triangular pool = 35.48m

perimeter of the triangular pool = 35.5m

Hence the amount of meters of fence needed is 35.5m

Answer:

1- B & C (Same answer and also I'm not that sure)

2- B: y = 8x (I'm sure of this ^^)

3- Option 3

4- 108 degrees

Answer:

1. C

2. B

3. Option 3

4. 108 degrees

Step-by-step explanation:

1. There cannot be less than 0 people or more then 25 people, but the theatre capacity can be equal to both of these numbers.

2. x is multiplied by 8 to create y, so the equation is y=8x

3. There can't be over 8 refrigerators on the truck, and you can't have a fraction of a refrigerator.

4. One line is 180 degrees. 36+36=72, 180-72= 108 degrees

9514 1404 393

Answer:

  2187

Step-by-step explanation:

This geometric sequence has a first term of 1 and a common ratio of 3. Its general term can be written as ...

  an = a1·r^(n-1)

  an = 3^(n-1)

Then the 8th term is ...

  a8 = 3^(8-1) = 2187

Answer:

[tex]\frac{64}{2^3}[/tex]

Step-by-step explanation:

[tex]\frac{4^x}{2^x} = \frac{4^3}{2^3} = \frac{64}{2^{3}}[/tex]

Answer: [tex]0.0756,\ 0.7599[/tex]

Step-by-step explanation:

Given

Probability that a coin will land head is [tex]0.3[/tex] i.e. probability of success is [tex]p=0.3[/tex] So, the probability of failure is [tex]q=1-0.3=0.7[/tex]

Using Binomial distribution for [tex]n=4[/tex]

(a) Probability that the coin will lead heads exactly 3 times

[tex]\Rightarrow P(3)=^4C_3(0.3)^3(0.7)^1\\\Rightarrow P(3)=4\times 0.7\times (0.3)^3\\\Rightarrow P(3)=0.0756[/tex]

(b)Probability that the coin lands head at least once

[tex]\Rightarrow 1-P(0)\\\Rightarrow 1-^4C_0(0.3)^0(0.7)^4\\\Rightarrow 1-1\cdot(0.7)^4\\\Rightarrow 0.7599[/tex]

Answer:

C, The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.

Step-by-step explanation:

Using error concepts, it is found that the consequence of a Type I error in this situation in this situation is given by:

The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.

At the null hypotheses, it is tested if the weights are not heavier, that is:

[tex]H_0: \mu = 140[/tex]

At the alternative hypotheses, it is tested if they are heavier, that is:

[tex]H_1: \mu > 140[/tex]

A Type I error is the rejection of a true null hypothesis, that is, concluding that the weights are heavier and more profitable when they are not. Hence the correct option is:

The owner believes the crop will be more profitable and expands the orchard when the true mean weight of the apples is actually not greater than 140 grams.

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Answer:

42 yard

Step-by-step explanation:

Area of deck = total area - area of pool

area of a rectangle = length x width

5 x 6 = 30

72 - 30 = 42

Answer:

It is 14130 mm^3

Step-by-step explanation:

So the equation for the volume of a sphere is (4/3) (3.14) r^3. So since we already have the radius, we just plug it in to get the answer:

(4/3) (3.14) r^3

(4/3) (3.14) 15^3

(4/3) (3.14) 3375

(4/3) (10597.5)

14130 mm^3

Answer:

I would suggest plugging a formula into desmos. De smos graphs are perfect for an scenario as long as you have x and y intercepts. If you dont, Matha way can find that for you

Step-by-step explanation:

Answer:

I suggest using an online grid or drawing a grid and plotting on that

Step-by-step explanation:

Answer:

[tex]y + (-y) = 0[/tex]

Step-by-step explanation:

Required

Which represents addition inverse

This property illustrates the addition of a number and its inverse (i,e, negation)

So, we have:

[tex]-y + y = 0[/tex]

or

[tex]y + (-y) = 0[/tex]

Answer: 2

Step-by-step explanation:

The amplitude of the function of graph y = 2sin(4x - 1) + 3 is 2.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The function is defined as mathematics expression defines a relationship between one variable and another variable.

A amplitude of function is defined as periodic variable's amplitude is a measure of its change over a single period. A non-periodic signal's magnitude in relation to a standard value is its amplitude.

Given the function of graph as :

y = 2sin(4x - 1) + 3

Comparing the form asin(bx - c) + d to determine the amplitude, period, phase shift, and vertical shift.

Where a is amplitude , d is vertical shift , c/b is phase shift

Amplitude (a): 2

Period: π/2

Phase Shift (c/b): 1/4 (1/4 to the right)

Vertical Shift (d) : 3

Hence, the amplitude of the function of graph y = 2sin(4x - 1) + 3 is 2.

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STEP 1: (1/3 : 1/6) = 2/1 = 2

STEP 2: 3/4 + 2 = 11/4 = 2 3/4 = 2.75

STEP 3: 2.75 (-1/2) = -11/8 = -1 3/8 = -1.375

(1) Divide: 1/3 : 1/6 = 1/3 · 6/1 = 1 · 6/3 · 1 = 6/3 = 3 · 2 /3 · 1 = 2

(2)Add: 3/4 + the result of step No. 1 = 3/4 + 2 = 3/4 + 2/1 = 3/4 + 2 · 4/1 · 4 = 3/4 + 8/4 = 3 + 8/4 = 11/4

(3) Subtract: the result of step No. 2 - (-1/2) = 11/4 - (-1/2) = 11/4 - (-1) · 2/2 · 2 = 11/4 - (-2/4) = 11 - (-2)/4 = 13/4

Therefor your answer is A 13/4 OR 1 and 3/4: )

Hope this helps!

Sorry for all the steps but those steps will help you!

-Hailey: )

(nothing is copied or pasted!!!!!)

Answer:

4th option

10x + 32 / x(x+8)

Step-by-step explanation:

Answer:

In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .

Step-by-step explanation:

Answer:

100 π

Explanation:

Since the equation for the area of a circle is π r^2, and the diameter is 20m. There is enough info to proceed.

First, half the 20m to 10m since the radius is 1/2 of the diameter.

Next, plug this into the formula to get the answer:

π 10^2

π 100

100 π is the answer, since it is looking for it in terms of π.

Answer:

A≈314.16m²

Step-by-step explanation:

I cant write it down lol, I promise its right! :)

Step-by-step explanation:

Solution:

Given,

t1( first term ) a = -15

t2( second term ) b = -9

CD(Common Difference) = ?

We know,

CD = b - a

= -9 - ( - 15 )

= -9 + 15

= 6

Now,

t1 = -15

t2 = -9

t3 = -3

t4 = 3

t5 = a + ( n - 1 )CD

= -15 + ( 5 - 1 ) 6

= -15 + 24

= 9

t50 = a + (n - 1 ) CD

= -15 + ( 50 - 1 ) CD

= -15 + 49 × 6

= -15 + 284

= 269

So the sum of t50 is 269.

Answer:

224 student ride the bus to school each day.

Step-by-step explanation:

Answer:

x+51+80+60=180

x+191. =180

x=180-191

x=-11

Answer:

1/2 is the slope

Step-by-step explanation:

Answer:

m<1 = 29

Step-by-step explanation:

All angles of a triangle equal 180:

<1 = x

Equation:

x + 90 + 61 = 180

x + 151 = 180

x = 180 - 151

x = 29

Answer:

y=90x+2,000

y=mx+b

Answer:

The answer is B

Step-by-step explanation:

Answer:

you can use law of sines

Plug in the values (lol sorry i dont have time)

x / sin(angle)  =  y / sin(angle)

Where x and y are separate sides.

Hope this Helps! :3