An open top box is to be made from a rectangular cardboard that is 15 in by 25 in by cutting out
squares from each corner and turning the sides up.
Round off your answers to three decimal places.
inches
What is the height of the box that will maximize the volume?
What is the maximum volume?
cubic inches

Answer:

the first one

35 (that symbol i cant find it on the computer) 5

Given:

f(x) is an exponential function.

[tex]f(-3.5)=25, f(6)=33[/tex]

To find:

The value of f(6.5).

Solution:

Let the exponential function is

[tex]f(x)=ab^x[/tex]         ...(i)

Where, a is the initial value and b is the growth factor.

We have, [tex]f(-3.5)=25[/tex]. So, put x=-3.5 and f(x)=25 in (i).

[tex]25=ab^{-3.5}[/tex]         ...(ii)

We have, [tex]f(6)=33[/tex]. So, put x=6 and f(x)=33 in (i).

[tex]33=ab^{6}[/tex]         ...(iii)

On dividing (iii) by (ii), we get

[tex]\dfrac{33}{25}=\dfrac{ab^{6}}{ab^{-3.5}}[/tex]

[tex]1.32=b^{9.5}[/tex]

[tex](1.32)^{\frac{1}{9.5}}=b[/tex]

[tex]1.0296556=b[/tex]

[tex]b\approx 1.03[/tex]

Putting b=1.03 in (iii), we get

[tex]33=a(1.03)^{6}[/tex]

[tex]33=a(1.194)[/tex]

[tex]\dfrac{33}{1.194}=a[/tex]

[tex]a\approx 27.63[/tex]

Putting a=27.63 and b=1.03 in (i), we get

[tex]f(x)=27.63(1.03)^x[/tex]

Therefore, the required exponential function is [tex]f(x)=27.63(1.03)^x[/tex].

Answer:

7x-11y+9=0

Step-by-step explanation:

Answer:

Step-by-step explanation:

t=s+(s+5)

t=s+s+5

t=2s+5

True:

Her lowest score is 40

(one of them)

Answer:

The missing angle is 40 degrees

Step-by-step explanation:

Tan = opposite / adjacent

Tan ? = 24 / 29

24 / 29 = 0.8275

Tan-1 of 0.8275 is 39.610

Round to the nearest degree

39.610 = 40

Answer:

Step-by-step explanation:

Here you have a right triangle with the side lengths 24 and 29 and are asked to find the measure of the smallest angle.

In cases like this you should ask yourself which trig function includes the lengths of the legs (that is, the lengths of the side opposite the angle and the side adjacent to the angle).  That would be the tangent function, and so:

tan (?) = (opposite side) / (adjacent side)

Here, tan x = 24/29 = 0.691.  Note:  I used my TI-83Plus calculator to determine that the measure of angle x in radians is 0.691.

The unknown angle is 0.691 radians, or (multiplying that by the conversion factor (180/pi) ) 39.6 degrees.  To the nearest degree, that'd be 40 degrees.

Answer:

The expression is:

y=500x+550p, where

y is the amount earned

x is the quantity of Xboxes sold

p is the amount of Playstations sold

Step-by-step explanation:

With the information provided, you can say that the amount of money they will earn for selling Playstations and Xboxes is equal to the sum of the result of multiplying the price per Xbox Series X for the quantity sold plus the result of multiplying the price per Playstation 5 for the quantity sold, which can be expressed as:

y=500x+550p, where

y is the amount earned

x is the quantity of Xboxes sold

p is the amount of Playstations sold

Answer:

x-1.2,y+1

y=(5.3,6)

Z=(4.8,7)

Step-by-step explanation:

!!Sorry if im wrong!!

Answer:

The rule is (x,y) - ( x - 1.2), (y + 1 )

Y´ coordinates are ( 5.3,7)

Z´ coordinates are ( 4.8 , 4 )

Step-by-step explanation:

Hey There!

The first thing that we want to do is find the translation rule.

They have given us the coordinates of X and X´ so we can easily find the rule by subtracting X coordinates by the X´ coordinates

6.8-8=-1.2

-1.3--2.3=1

so the rule is (x,y) - ( x - 1.2), (y + 1 )

Now we want to find the coordinates of the translated image

To do that we use the rule and subtract 1.2 from x and add 1 to y

Given the Y coordinates ( 6.5, 6 )

6.5-1.2=5.3

6+1=7

So the coordinates of Y´ are ( 5.3,7)

Given the Z coordinates ( 6, 3)

6-1.2=4.8

3+1=4

So the coordinates of Z´ are ( 4.8 , 4 )

Area of rhombus :-

[tex] \bf \star \: \: \boxed{ \bf \dfrac{d_{1}d_{2}}{2} }[/tex]

[tex] \sf \longrightarrow d_{1} = 4 \sqrt{3} + 4 \sqrt{3} = 8 \sqrt{3} [/tex]

[tex] \sf \longrightarrow d_{2} = 4 + 4 = 8[/tex]

Area of rhombus :-

[tex] : \implies \sf \dfrac{8 \sqrt{3} \times 8 }{2} [/tex]

[tex] : \implies \sf 8 \sqrt{3} \times 4[/tex]

[tex]: \implies \bf 32 \sqrt{3} \: {m}^{2} [/tex]

Answer:

answer is 11.9...... have a good day

Answer:

11.9

Step-by-step explanation:

TU=TV-UV

TU=17.7-5.8=11.9

Answer:

$12.28

Step-by-step explanation:

First, 50 - 32.80 is 17.20

Second, 15% of 32.80 = 4.92.

Finally, you need to do 17.20 - 4.92 which gets you 12.28

Hope this helps!

Answer:

1) 60 miles

2) 7 dollars

Step-by-step explanation:

1) Question 1

Let x be equal to the full distance of the trip

[tex]0.4x=24[/tex]

Divide both sides by 0.4

[tex]\frac{0.4x}{0.4}=\frac{24}{0.4} \\x=60[/tex]

Therefore, the trip is 60 miles long.

2) Question 2

Let y be equal to the price that Marco paid for the doll.

[tex]35*0.2=y[/tex]

We multiply 35 by 1-0.8 because the doll is 80% off, meaning he's paying for 20% of the original price

[tex]7=y[/tex]

Therefore, Marco paid $7 for the doll.

I hope this helps!

Answer:

Final Amount = $1,112.72 (Approx.)

Step-by-step explanation:

Given:

Amount deposit = $940

Rate = 8.8%

Time = 2 year

Find:

Final Amount

Computation:

Final Amount = P[1+r]ⁿ

Final Amount = 940[1+8.8%]²

Final Amount = $1,112.72 (Approx.)

Answer:

the last one

Step-by-step explanation:

the answer is d which it's the last one

Answer:

A.

Step-by-step explanation:

got it on edge assignment

Answer:

1

Step-by-step explanation:

8x+2=10x

2=2x, x=1

hope this helps

Answer:

B) 3x - 4y = -28

Step-by-step explanation:

Perpendicular = 90 degree angle

Answer:

B) 3x - 4y = -28

Answer:

y+3=-11/7(x-2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-(-3))/(-5-2)

m=(8+3)/-7

m=11/-7

y-y1=m(x-x1)

y-(-3)=-11/7(x-2)

y+3=-11/7(x-2)

Answer:

If Frank is planting b seeds in one and 5b + 10 in the other, the expression showing the total is b + (5b + 10), or 6b + 10 seeds.

brainliest?

Answer:

the measure of EF is 4cm

I hope this help

Answer:

It is 3 1/3 because you divide 10 by 3 and you get 3 as the answer and 1 as a remainder.

Answer: 5.320311

Step-by-step explanation: hope this helps!

Answer:

5.3203112212

Step-by-step explanation:

Answer:

The answer is 5

Step-by-step explanation:

That's the answer because E in this equation equals the new number of erasers when you have 20 pencils. The answer is 5 erasers.

Answer:

5 i believe

Step-by-step explanation:

i think thats whatnit is

Answer:

side = 16.97 cm

Step-by-step explanation:

24²/2 = side²

side = 16.97 cm

Answer:

Exact Form:

77 /8

Decimal Form:

9.625

Mixed Number Form:

9  5 /8

Step-by-step explanation:

I AM SO SORRY IF THIS IS WRONG

Answer:

fraction form: 77/8

decimal form: 9.625

Step-by-step explanation:

if you change 11 into 11/1 you get

11/1*7/8

11*7=77

1*8=8

77/8

hope this helps!

Answer: 2/3 hours

Step-by-step explanation:

okay so the speed now is 850, which is   850/340  = 2.5 times the original speed

Since It's 2.5 times the original speed,

2.5x = 5/3

so x = 5/3/2.5 = 2/3

Answer:

2/3 of an hour

Step-by-step explanation:

Here is the information that the question gives us.

A plane covers a distance in 5/3 of an hour at 340 km per hour. How long would it take for a plane to cover the same distance while traveling at 850 km per hour?

Remember, distance = speed * time. Using that formula, we can find the distance with this equation:

distance = 340 * 5/3

Multiply.

distance = 1700/3 km

Then, we can plug this distance in to find the time it would take for a plane going at 850 km/hour.

distance = speed * time

1700/3 = 850 * time

Divide both sides by 850

(1700/850) / 3 = time

time = 2/3 hour

Thus, the answer is 2/3 of an hour.

Just in case, let's check the answer. Because both the planes travel the same distance, then their speeds * time should both equal "distance". In other words, they should be equal.

340 * 5/3 = 2/3 * 850

Simplify.

1700/3 = 1700/3

So, the answer is correct.

I hope this helps! Feel free to ask any questions!

Answer:

pros = having it

cons=not having it

Step-by-step explanation:

Answer:

The value of w is 7.

Step-by-step explanation:

According to Pythagoras theorem,

Hypotenuse²=Perpendicular²+Base²

H²=P²+B²

Here,

Hypotenuse given=7√2

w=y

Perpendicular=Base=x

(7√2)²=x²+x²

49*2=2x²

(49*2)/2=x²

49=x²

√49=x

7=x

Perpendicular=x=7

Answer:

>

Step-by-step explanation: