The price of an item at the store can be defined by the variable x.

Based on this information, which of the options below represents a markup in price for that item?
A) 1.03x
B) 1.08x
C) 1.24x
D) 0.75x
E) 0.68x

Answer:

a 4,1. helpful answer

Answer:

The dimensions of the box that minimize the amount of material used is length of square base x = 70 cm and height of box = 35 cm

Step-by-step explanation:

The volume of the box with square base is V = x²h where x = length of side of square base and h = height of box.

Now, the area of the of box open at the top with dimensions of length, l , width, w and height, h are

A = 2lh + lw + 2wh

Now for a box of square base, l = w = x.

So, A = 2xh + x² + 2xh

A = x² + 4xh

Since V = x²h and V = 171500 cm³,

h = V/x² = 171500/x²

substituting h into A, we have

A =   x² + 4xh

A =  x² + 4x(171500 cm³/x²)

A =  x² + 4 × 171500 cm³/x

A =  x² + 686000 cm³/x

To find the value of x that minimizes A, we differentiate A with respect to x

So, dA/dx = d[x² + 686000 cm³/x]/dx

dA/dx = 2x - 686000 cm³/x²

equating this to zero, we have

2x - 686000 cm³/x² = 0

2x = 686000 cm³/x²

2x³ = 686000

x³ = 686000 cm³/2

x = ∛(343000 cm³)

x = 70 cm

To determine if this in a minimum dimension for A, we differentiate dA/dx and insert x = 70 cm

So, d²A/dx² = d[2x - 686000 cm³/x²]/dx

d²A/dx² = 2 + 3 × 686000 cm³/x³

d²A/dx² = 2 + 2058000 cm³/x³

with x = 70 cm, we have

d²A/dx² = 2 + 2058000 cm³/(70 cm)³

d²A/dx² = 2 + 2058000 cm³/343000 cm³

d²A/dx² = 2 + 6

d²A/dx² = 8 > 0

So, x = 70 is a minimum value for the dimension

Since h = 171500 cm³/x²

h = 171500 cm³/(70 cm)²

h = 171500 cm³/4900 cm²

h = 35 cm

So, the dimensions of the box that minimize the amount of material used is length of square base x = 70 cm and height of box = 35 cm

Answer:

3 dollars

Step-by-step explanation:

15 divided by 5 is 3

so 3 dollars each

hope this helps!

add me as a friend if you want:)

Answer:

∠APC ≅ ∠DPB angles adjacent to the same angle are congruent to each other.

Explanation:

Because they share an angle created by P, they are adjacent.

I hope this helped :)

9514 1404 393

Answer:

  3. $0.45

  4. 50%

  5. -5°, -1°, 1°, -2°, 5°

Step-by-step explanation:

3. The difference in tip amounts is ...

  15%($25) -15%($22) = 15%($25 -22) = 15%($3.00) = $0.45

  Jasmine paid $0.45 more tip than Candice.

__

4. If 25% were sick, then the crew that showed up was 75% of the full crew. If 1/3 of those 75% went home early, then the remaining (2/3)(75%) = 50% were the fraction working at the end of the day.

__

5. The Fridays in January were Jan 2, 9, 16, 23, and 30. The middle of the month was the 16th. For something like this, it can help to read through a couple of times, as the relations are not given in a way that gives a solution without skipping around.

We are given that the temp on the 30th was 5°, and that the 23rd was 7° less, so -2°. The low on the 2nd was 3° lower than on the 23rd, so was -5°. The temp on the 16th was 6° higher than on the 2nd, so was -5+6 = 1°, and the temp on the 9th was 2° lower than that, so -1°.

The low temperatures were ...

Answer:

x = 16

Step-by-step explanation:

The sum of the angles of a triangle are 180

128+ 2x-3 +23 = 180

Combine like terms

2x+148=180

Subtract 148 from each side

2x+148 -148 = 180-148

2x = 32

Divide by 2

2x/2 = 32/2

x =16

Answer: 30%.

Step-by-step explanation:

The percentage decrease for the shoes will be calculated as:

= (Decrease in shoes / Original cost price) × 100

= (50 - 35) / 50 × 100

= 15/50 × 100

= 30%

The percentage decrease for the shoes is 30%

Answer:

It’s blurry but I think it’s an obtuse triangle

Step-by-step explanation:

Maybe a right triangle

Complete question:

The base of a pyramid covers an area of 14.0 acres (1 acre = 43, 560 ft²  ) and has a height of 481 ft. If the volume of a pyramid is given by the expression V = bh/3, where b is the area of the base and h is the height. If the height of the pyramid were increased to 512 ft and the height to base area ratio of the pyramid were kept constant, by what percentage would the volume of the pyramid increase

Answer:

The percentage increase of the volume is 6.45 %

Step-by-step explanation:

The volume of pyramid is calculated as;

V = bh/3

The initial volume of the pyramid is calculated as follows;

[tex]V = \frac{bh}{3} \\\\V_0 = (\frac{1}{3} ) \times (14 \ acres \ \times \frac{43,560 \ ft^2}{1 \ acre} ) \times (481 \ ft)\\\\V_0 = 97,777,680 \ ft^3[/tex]

The final volume of the pyramid when the height is increased to 512 ft.

[tex]V_1 = (\frac{1}{3} ) \times (14 \ acres \ \times \frac{43,560 \ ft^2}{1 \ acre} ) \times (512 \ ft)\\\\V_1 = 104,079,360 \ ft^3[/tex]

The percentage increase of the volume;

[tex]= \frac{104,079,360 - 97,777,680}{97,777,680} \times 100\%\\\\= 6.45 \ \%[/tex]

The volume of the pyramid will increase by 11.79%

The volume of a Pyramid is calculated using:

[tex]V = \frac{Bh}3[/tex]

Where:

When the height is increased from 458 to 512, then the initial and the final volumes are:

[tex]V_1 = \frac{458}{3}b[/tex]

[tex]V_2 = \frac{512}{3}b[/tex]

The percentage change is then calculated as:

[tex]\% Change = \frac{V_2 -V_1}{V_1} \times 100\%[/tex]

This gives

[tex]\% Change = \frac{512b/3 -458b/3}{458b/3} \times 100\%[/tex]

Simplify the numerator

[tex]\% Change = \frac{54b/3}{458b/3} \times 100\%[/tex]

Evaluate the quotient

[tex]\% Change = 0.1179 \times 100\%[/tex]

Express as percentage

[tex]\% Change = 11.79 \%[/tex]

Hence, the volume of the pyramid will increase by 11.79%

Read more about volumes at:

https://brainly.com/question/1972490

Answer:

I guess it would go

Ben did:+10

Gail:-8

Nathaniel:0

Step-by-step explanation:

hope this was what you wanted

best of luck

Answer:

(0,4)

Step-by-step explanation:

The answer would be (3,2) because you would do (x,-y)

Answer:

-8 degrees Celsius is warmer

Answer:

-8 degrees C.

Step-by-step explanation:

Answer:

Step-by-step explanation:

its 21.4

Answer:

Option 2

Step-by-step explanation:

Like terms are terms with the same variable and the same power.

Let's analysis and write the equation of each model to see if which of them has like terms:

Option 1:

We have x x => 2x

1 1 1 => 3

Equation of model=> 2x + 3

2x and 3 are unlike terms

Option 2:

We have x x => 2x

x x x => 3x

Equation of model=> 2x + 3x

2x and 3x are like terms

Option 3:

We have x x x => 3x

1 1 1 => 3

Equation of model=> 3x + 3 (contains unlike terms)

Option 4:

We have x => x

1 => 1

Equation of model=> x + 1 (unlike terms)

✔️The second option is the answer

Step-by-step explanation:

Volume of cylinder: πr²h

= π(6)² x 15

= 36π x 15

= 1620 cm³

Answer: A

Answer:

B. 540 picm3

Step-by-step explanation:

(6)2 X 15= 540

Answer:

4

Step-by-step explanation:

Any polynomial of degree n has n roots

but we may need to use complex numbers

This is a 4th degree polynomial therefor:

4 roots

Answer:

a = 6[tex]\sqrt{2}[/tex]

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]c^{2}[/tex] = [tex]18^{2}[/tex]    (pythagoras theorem)

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]4^{2}[/tex]      (pythagoras theorem)

[tex]c^{2}[/tex] + [tex]b^{2}[/tex] = [tex]22^{2}[/tex]      (pythagoras theorem)

From these 3 equations we can find the value of a

Answer:

B) 20

The minimum of a data set is the smallest term of that set.

We arrange the terms in ascending order

→ 20,20,25,30,35

So, the minimum is 20

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

hope it helps...

have a great day!!

Answer:

Part a:

The null and alternate hypotheses are

i) H0:  ud  ≥ u    vs          Ha: ud < u

ii) As the significance level is ∝= 0.025 and it is one tailed test then the critical region R < - 1.96

iii) The test statistics is  =−9.15

iv) We accept the alternate hypothesis.

​

Part b:   CI = (−3.637,−2.163)

​

Step-by-step explanation:

AS the sample sizes are sufficiently large (n1,n2> 30) we can use the sample standard deviations in place of population standard deviations.

Part a:

The null and alternate hypotheses are

i) H0:  ud  ≥ u    vs          Ha: ud < u

where

ud is the mean of the days missed  per year by mothers working for companies that provide day-care facilities on premises

and

u is the mean number of days missed per year by mothers working for companies that do not provide day-care facilities on premises

ii) As the significance level is ∝= 0.025 and it is one tailed test then the critical region R < - 1.96

iii) The test statistics is

z= xˉ1 − xˉ2/√ s 1² /n 1 +s 2² /n 2

​=  6.4−9.3/ √1.2 ² /45+ 1.85² /50​

=−9.15

iv) The calculated z = −9.15 values lies in the critical region= R < - 1.96 and the null hypothesis is rejected. Hence the  mean of absentees for companies that provide day-care facilities on premises  is less than the

the mean number of absentees for companies that do not provide day-care facilities on premises.

We accept the alternate hypothesis.

​

Part b:

The confidence interval can be calculated using the formula

CI = ( xˉ1 − xˉ2) ± z∝/2 √ s 1² /n 1 +s 2² /n 2

CI = (6.4−9.3) ± 2.326 * √1.2 ² /45+ 1.85² /50​

CI = (−3.637,−2.163)

​

9514 1404 393

Answer:

  (-7, -6)

Step-by-step explanation:

The solution to the system of equations is the point that is on both lines: their point of intersection. That point is (-7, -6).

Answer:

4.2

Step-by-step explanation:

2.1+2.1=4.2

Answer:

all the angles add up to 180 degrees

So 180÷6=30

(i got 6 cuz 1+2+3)

so 1=30

2=30*2=60

3=30*3=90

Step-by-step explanation:

(5x⁴y⁵).(2x²y‐⁵)

5×2=10

x⁴×x²= x⁶

y⁵×y-⁵=y⁰

so the answer is 10x⁶y⁰

Step-by-step explanation:

given,

m1=23°

m2=32°

hope it helps

Answer:

x=00

Step-by-step explanation:l

nnm