A closed, rectangular-faced box with a square base is to be constructed using only 36 m2 of material. What should the height h and base length b of the box be so as to maximize its volume

Answer:

$2,145 ; $147 ; 14 months

Step-by-step explanation:

Given that :

The cash price, that is, the amount that would be paid if customer is to pay the entire amount item is worth at once = $1998

Monthly payment = $143

Period = 15 months

The total installment price ; total amount paid on a monthly pay for 15 months :

(monthly payment * period)

($143 * 15)

= $2,145

The carrying charge :

Installment pay - Cash amount

$(2,145 - 1,998)

= $147

The number of month needed to save at Monthly rate to buy item at it's cash price :

Cash price / monthly payment

$1998 / $143

= 13.97

= 14 months

Answer:

3(m-4)=33

3m-12=33

3m=45

m=15

Check:

3(15-4)=33

3(11)=33

33=33

Hope This Helps!!!

Answer:

m = 15

Step-by-step explanation:

3 ( m - 4 ) = 33

Solve for m

3 ( m - 4 ) = 33

Divide both side by 3

[tex]\small \sf \frac{3(m-4)}{3} = \frac{33}{3} \\ [/tex]

m - 4 = 11

Add 4 to both side

m - 4 + 4 = 11 + 4

m = 15

Answer:

1) a)  accepting the new drug is better based on its effectiveness when in reality the drug ain't better than the drug in current use because of its side effects

b) Accepting and using the current drug in use when it is not as effective as the new drug

c) Type 1 error

2) a) rejecting the vitamin supplement based on not knowing the harmful side effects

b) Accepting the Vitamin supplement based on just health benefits it portrays without comparison with other supplement.

c) Type II error

3) Increase the significance level  ( A )

Step-by-step explanation:

1)

a) To make a type 1 error in this situation is accepting the new drug is better and prescribing it to the millions of people based only on its effectiveness when in reality the drug ain't better than the drug in current use because of its side effects

b) A type II error in context is :Accepting and using the current drug in use when it is not as effective as the new drug

c)  Type I error

2)

a) Type 1 error is rejecting the vitamin supplement based on not knowing the harmful side effects

b) Accepting the Vitamin supplement based on just health benefits it portrays without comparison with other supplement.

c) Type II error

3) If committing a type 1 error is much worse

Increase the significance level

Answer:

1. log3 81 = 4

2. 4 3/2=8

Step-by-step explanation:

1. Convert the exponential equation to a logarithmic equation using the logarithm base (3)(3) of the right side (81)(81) equals the exponent (4)(4).

log3(81)=4

or

you can remember this

loga Y= X

so, a^x =y

2. Use the definition of a logarithm,

log

b

(

x

)

=

y

⟹

b

y

=

x

, to convert from the logarithmic form to the exponential form.

Answer:

Step-by-step explanation:

Step-by-step explanation:

solved in the diagram above

I hope it helps you

Answer:

x2-4

Step-by-step explanation:

Answer:

hope it helps

Answer:

A. ¼

Step-by-step explanation:

Rate of change (m) = [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Using two points on the line, (4, 1) and (-4, -1), find the rate of change using the formula stated above:

Where,

[tex] (4, 1) = (x_1, y_1) [/tex]

[tex] (-4, -1) = (x_2, y_2) [/tex]

Plug in the values

Rate of change (m) = [tex] \frac{-1 - 1}{-4 - 4} [/tex]

= [tex] \frac{-2}{-8} [/tex]

= [tex] \frac{1}{4} [/tex]

Rate of change = ¼

Answer:

the value of x is 29°

hope it helps

have a nice day

Answer:

C, D, D.

Step-by-step explanation:

Problem 6)

We want to determine the equation of the graphed inequality.

First, let's determine the equation of the line for the inequality. We can see that it passes through the points (-2, 0) and (0, 2). Find the slope:

[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{2-0}{0-(-2)}=\frac{2}{2}=1[/tex]

So, the slope of the line is one.

And since it passes through the point (0, 2), our y-intercept is two. Therefore, the equation of the line is:

[tex]y=x+2[/tex]

Next, notice that the shaded region is below the line. Also, the line itself is also shaded.

Since the shaded region is below the line, y is less than the graph of the line and since the line itself is shaded, our sign is less than or equal to.

Hence:

[tex]y \leq x + 2[/tex]

Our answer is C.

Problem 7)

We have the inequality:

[tex]-2x+8+5x>2x+1[/tex]

First, solve the inequality. Combine like terms:

[tex]3x+8>2x+1[/tex]

Subtract x from both sides:

[tex]x+8>1[/tex]

And subtract 8 from both sides:

[tex]x>-7[/tex]

Therefore, any value greater than -7 will satisfy the inequality.

Out of the choices, the only choice greater than -7 is -5.

So, our answer is D.

Problem 8)

We have the inequality:

[tex]5x+7\leq 8x-3+2x[/tex]

Again, solve the inequality. Combine like terms:

[tex]5x+7\leq 10x-3[/tex]

Subtract 5x from both sides:

[tex]7\leq 5x-3[/tex]

And add three to both sides:

[tex]10\leq 5x[/tex]

Divide both sides by five:

[tex]2\leq x[/tex]

Flip:

[tex]x\geq 2[/tex]

Therfore, any value greater than or equal to 2 will satisfy the inequality.

Out of the choices, the only choice greater than or equal to 2 is 2.

So, our answer is D.

Answer:

The lowest cost of the tiles for George, for coring the considered triangular floor with the tiles of rate £39.95 per meter sq. is £226.3 approximately.

Remember that volume, area, length etc all are measured relatively.

If you are 1.7 meters tall, then you're height is measured relative to meters. This is called unit of the measurement. It means that if we collect 1 meter and 0.7 meters too,they together will be equally tall as you.

Similarly, if we say that a triangle has area of 40 square inches, then it means that its area is equal to 40 squares of 1 inch sides.

In the same way, volume is measured usually relative to unit cubes. Like how many unit cubes (cubes with 1 unit length of their sides) can be fitted (without any overlap or gap, but can be sliced to make them fit inside) inside the considered shape.

For this case, the tiles we will use will have the same area as the area of the triangular floor.

The triangular floor is of height and base of size 305 cm and 371.5 cm

Since the price rate of tiles is in meter sq, so it would be better if we convert the legths specified in meters.

100 cm = 1 m

1 cm = 1/100 m

305 cm = 305/100 = 3.05 m

371.5 cm = 3.715 m

The area of a triangle is half of the product of its base and height.

Thus, we get:

Area of tiles that will be used = area of the considered triangular floor =

[tex]\dfrac{3.05 \times 3.715}{2} \approx 5.665 \: \rm m^2[/tex]

Since 1 sq. m cost £39.95, therefore, 5.665 sq. meters will cost [tex]5.665 \times 39.95 \approx 226.3 \: \rm euros[/tex]

Thus, the lowest cost of the tiles for George, for coring the considered triangular floor with the tiles of rate £39.95 per meter sq. is £226.3 approximately.

Learn more about interpretation of measurement here: https://brainly.com/question/3424879

Answer: 103 degrees

Step-by-step explanation:

51 + 26 = 77

A triangle adds up to 180 degrees

180 - 77 = 103

= 103 degrees

9514 1404 393

Answer:

  LCD = 18

Step-by-step explanation:

6 and 9 have a common factor of 3, so the LCD is ...

  (6×9)/3 = 18

Then the fractions can be written as ...

  3/6 = 9/18

  2/9 = 4/18

Answer:

A - $214.40

Step-by-step explanation:

Since b is the number of boxes of cards and n is the number of ink colors, and we're given the number of boxes of cards, and number of ink colors, we plug in:

4= b

and

3 = n

into the given equation to solve for C.

Using the order of operations we start inside our parentheses and work from there:

C= $25.60*4 + $14.00*4(3 - 1)

C= $25.60*4 + $14.00*4(2)

C= $102.40 + $112

C= $214.40

Answer:

It means that the project is in good shape, within budget an d it would finish early

Step-by-step explanation:

The answer to this question is pretty straight forward. If a project has the percent spent fine 90 percent, the scheduled has percentage of 85 percent and the complete is at the percentage of 95, what it means is that this project is in good shape, the project being carried out is still being done within the proposed budget and at 95% complete, it means that the project is going to finish early.

Answer:

8d68d68fu9d6rf0d

c9yd7xpjd

puf68d6rif7

Answer:

20

Step-by-step explanation:

4 + 2 + 5 + 4 + 0 + 1 + 1 + 3 = 20

Answer:

9.2

Step-by-step explanation:

You can do this calculation with a calculator by taking the square root of 85.

Hi there!  

»»————-　★　————-««

I believe your answer is:  

9.2

»»————-　★　————-««  

Here’s why:

Assuming that you mean "the square root of 85 rounded to the nearest tenth..."  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\\rightarrow \sqrt{85} = 9.21954445729....[/tex]

⸻⸻⸻⸻

Since the digit to the right of the tenth (the 1) is less than or equal to four, we round down.

⸻⸻⸻⸻

[tex]9.21954445729...\approx\boxed{9.2}[/tex]

⸻⸻⸻⸻  

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.

Answer:

1. subtracting 5

2. adding 20

3. dividing by 1/2

4. multiplying by 10

Answer:

Is it anual or monthly?

Step-by-step explanation:

Answer:

x = 100 degree

Step-by-step explanation:

EF//GC => NF // OC

∠ANE=∠ONF     [Vertically opposite angles]

∠ONF=80

In Quadrilateral OCFN,

NF // OC

∠ ONF + x = 180     [Linear Pair]

=> 80 + x = 180

=> x = 180-80

=> x = 100

Answer:

x=100°

Step-by-step explanation:

corresponding angles

It is false

Step-by-step explanation:

Hope it will help you

Answer:

ACF

Step-by-step explanation:

angles must be equal since the triangles are similar

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The statement that are correct are x=35, y = 55, and z =90.

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

Given the ΔPQR is similar to ΔSTU, therefore, the statements that are correct about the two triangles are,

∠P = ∠S = x = 35°

∠Q = ∠T = y

∠R = ∠U = z = 55°

Since the sum of all the angles of a triangle is equal to 180°. For ΔPQR we can write,

∠P + ∠Q + ∠R = 180°

°35 + y + 55° = 180°

y = 180° - 55° - 35°

y = 90°

Hence, the statement that are correct are x=35, y = 55, and z =90.

Learn more about Similar Figures:

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#SPJ2

Answer:

The ocean surface is at 0 ft elevation. A diver is underwater at a depth of 138 ft. In this area, the ocean floor has a depth of 247 ft.

Step-by-step explanation:

Answer:

H0 : μN ≤ μD

H1 : μN > μD

Right tailed

Test statistic = 1.33

Pvalue = 0.097

Fail to reject the Null

Step-by-step explanation:

H0 : μN ≤ μD

H1 : μN > μD

The test is right tailed ; culled from the direction of the greater than sign ">"

Night students :

n1 =30 x1= 3.34 s1 = 0.02

Day students:

n2 = 30 x2 = 3.32 s2 = 0.08

The test statistic :

(x1 - x2) / √(s1²/n1) + (s2²/n2)

T= (3.34 - 3.32) / √(0.02²/30) + (0.08²/30)

T = 0.02 / 0.0150554

Test statistic = 1.328

Using the conservative approach ;

df = Smaller of n1 - 1 or n2 - 1

df = 30 - 1 = 29

Pvalue(1.328, 29) = 0.097

At α = 0.10

Pvalue < α ; Hence, we reject H0 ; and conclude that there is significant evidence that GPA of night student is greater than GPA of day student

Answer:

Graph 2 which has both solid and dashed line

Step-by-step explanation:

Given the linear inequalities :

y>2/3x+3 - - - (1)

y ≤ -1/3x+2 - - - (2)

One quick observation that can be made from the two graphs is the type of line used to plot the two linear inequalities;

Inequalities that uses either the < or > sign are plotted using a dashed line while inequalities with makes use of ≤ or ≥ are plotted using the solid line. Therefore we can conclude that the graph which uses both the solid line and the dashed line to represent the linear inequality conditions is the correct choice.

Answer:

4, -1

Step-by-step explanation:

We can reverse the FOIL (First, outside, inside, last) method to break down the equation. The question is asking to solve by factoring so you want to find the right combination of numbers this equation can be broken down into:

x^2 - 3x - 4 = 0

Because we want x squared, x needs to be multiplied by itself, so we can put x in the first slot for each.

(x + or - ?) ( x + or - ?) = 0

Then we need to find numbers that could be added to get -3 and multiplied to get -4. The only set of numbers that works for this is -4 and 1. Note that the sign you put in front of each number has an impact on your answers. With this we get:

(x - 4) (x + 1) = 0

To test that this is equal to the original equation, simply multiply it out using FOIL.

x * x = x^2

x * 1 = x

x * -4 = -4x

-4 * 1 = -4

Putting each component into an equation:

x^2 + x - 4x - 4 = 0

Simplifying:

x^2 - 3x - 4 = 0

Once we are sure it is still the same equation, we find the solutions. We know 0 multiplied by anything equals 0, so to get 0 as the answer, one of the sets in the parentheses must equal 0. (It doesn't matter what the other one is as long is one equals 0)

Therefore, we have 2 solutions, 4, and -1 because if x is 4, 4-4 is 0 which solves the equation, and if x is -1, then -1 + 1 is 0 which also solves the equation.

You can also check your answers by plugging them back into the original equation.

Answer:

50% chance

Step-by-step explanation:

lol math go brrr

9514 1404 393

Answer:

   (s, t) = (2, 4)

Step-by-step explanation:

We can eliminate the t variable by subtracting the first equation from half the second.

  (1/2)(8s +8t) -(3s +4t) = (1/2)(48) -(22)

  s = 2

  3(2) +4t = 22

  4t = 16

  t = 4

The solution is (s, t) = (2, 4).