A swimming pool charges

Answer:

1.75 * 0.84

Step-by-step explanation:

1.74 * 0.84 = 1.4616

1.79 * 0.69 = 1.2351

Answer:

1.74 x 0.84 is greater

Step-by-step explanation:

1.74 x 0.84 = 1.4616

while

1.79 x 0.69 = 1.23509

Answer:

904.32 cm²

Step-by-step explanation:

V = πr²h

V = 3.14 × (6 cm)² × 8 cm

V = 904.32 cm²

Answer:

32.4 liters

Step-by-step explanation:

Given that

There is 60 litres of fuel in the tank

After a long journey, 22% would fuel is left

The driver put another 30 liters and use 25% of the fuel

We need to find out how much fuel is now in the tank

Since 22% fuel is left i.e.

= 60 liters × 0.22

= 13.2 liters

He put another 30 liters

SO, now the total fuel available is

= 13.2 + 30

= 43.2 liters

It used 25% of the fuel that means 75% would remain left

So,

= 43.2 liters × 0.75

= 32.4 liters

answer:

-4°f

step-by-step explanation:

(-20°c × 9/5) + 32

= -4°f

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Answer:

pointssss

Step-by-step explanation:

Answer:

Let point's possessed by school A = x

and point possessed by School B = y

And the statement given Regarding the school are :

School X has eight more points than School Y. School X has three times as many points as School Y .

Writing these statements in terms of equation

1.   x = y + 8

2.  x = 3 y

Substituting the value of x in y, we get

3 y = y + 8

Taking variable on left side of equation

3 y - y = 8

2 y= 8

y =  

As , x= y + 8 gives x = 4 + 8 = 12

Point possessed by School A = 12 points

Points possessed by school B =  4 points

Answer:

900 sample size

Step-by-step explanation:

To determine the sample size for a proportion, the margin of error formula is used to determine this:

[tex]E=Z_{\frac{\alpha}{2} }*\sqrt{\frac{\hat p \hat q}{{n} }[/tex]

[tex]n=\hat p \hat q*(\frac{Z_{\frac{\alpha}{2} }}{E} )^2[/tex]

Where p is the proportion, E is the margin of error, n is the sample size, q = 1 - p, [tex]Z_\frac{\alpha }{2}[/tex] is the z score.

Since the proportion is not known, the sample size needed to guarantee the confidence interval and error is at p = 0.5 and q = 1 - p = 1 - 0.5 = 0.5

E = 5% = 0.05, [tex]Z_\frac{\alpha }{2}[/tex] = 3. Hence:

[tex]n=0.5*0.5*(\frac{3}{0.05} )^2\\\\n = 900[/tex]

[tex]area = \pi \times {r}^{2} \\ area = 3.142 \times {6.1}^{2} \\ area = 3.142 \times 37.21 \\ area = 116.91 {mm}^{2} [/tex]

Answer:

Zero, Never

Step-by-step explanation:

2 doesn’t equal 3 so it will never be true.

Answer:

[tex]-3 + 2x[/tex]

Step-by-step explanation:

Given

[tex]2x - 3[/tex]

Required

An equivalent expression

The expression can be rewritten as:

[tex]-3 + 2x[/tex] ---- commutative property of addition

[tex]2x - 3[/tex] and [tex]-3 + 2x[/tex] are equivalent

An expression that has two terms that is equivalent to 2x – 3 is - 3 + 2x

Given:

2x - 3

There are just two terms in the expression

The two terms can be written interchangeably to form a new expression equivalent to the same

-3 + 2x (This is based on the cummutative property of addition)

The new expression equivalent to 2x - 3 is -3 + 2x (minus 3 plus 2x)

Learn more about equivalent expression:

https://brainly.com/question/2972832

Answer:

-1 or 7

Step-by-step explanation:

brainliest plss

Answer:

33046 students

Step-by-step explanation:

Find how many students attend the college by dividing 24,950 by 0.755

24,950 / 0.755

= 33046.36

Round down, since the answer has to be a whole number:

33046.36

= 33046

So, approximately 33046 students attend the college

Answer:

3.4

Decrease ; 3.375

Step-by-step explanation:

Mean = Σfx / Σf

Σfx = (1 * 2) + (2 * 2) + (3 * 3) + (4 * 9) = 51

Σf = 1 + 2 + 3 + 9 = 15

Mean = 51 / 15 = 3.4

If 1 more dot is added to the 3rd column:

Σfx = (1 * 2) + (2 * 2) + (3 * 4) + (4 * 9) = 54

Σf = 1 + 2 + 4 + 9 = 16

Mean = 54 / 16 = 3.375

Answer:

6

Step-by-step explanation:

All the steps are in the photo I attached

Let's check

1in=2.54cm

9.5cm in inches

Step-by-step explanation:

So

9.5cm

Answer:

[tex]r= a + \lambda \: b \\ vector \: equation : \\ \binom{x}{y} = \binom{2}{3} + \lambda \: \binom{2}{2} \\ cartesian \: equation : \\ \frac{x - 2}{2} = \frac{y - 3}{2} = \lambda[/tex]

Answer:

20 miles) / (4 hours) = (20/4) (miles/hours)  =  5 miles per hour

(4 hours) / (20 miles) = (4/20) (hours/miles)  =  0.2 hours per mile =

                                                                            12 minutes per mile

Answer: Triangle 1 = 30 m2

Triangle 2 = 15 cm2

Step-by-step explanation:

Triangle area formula = 1/2 x base x height

Area1 = 1/2 x 10 x 6

= 30

Area2 = 1/2 x 6 x 5

= 15

Answer:

The area of the triangle is 15 cm and rectangle is 30 or 60

Step-by-step explanation:

Answer:

B., C., D., E., and F.,

Step-by-step explanation:

They all need exponents by a 10

Answer:

628.319 rounded= 628.3

Step-by-step

Answer:

Step-by-step explanation:

Answer:

1408

Step-by-step explanation:

Answer:

1,408 cm³.

Step-by-step explanation:

To find the volume of a rectangular prism, or in this case, a rectangular box, multiply the length, width, and height.

[tex]4*8*44=1,408 in^3.[/tex]

Therefore, the volume of the rectangular box is 1,408 cm³.

Answer:

36 cm

Step-by-step explanation:

Answer:

8.3 units

Step-by-step explanation:

Refer to the notations above, we can use Pythagoras Theorem to find the hypotenuse of the red triangle on the base of the prism.

The hypotenuse of the red triangle

[tex] = \sqrt{ {7}^{2} + {4}^{2} } [/tex]

[tex] = \sqrt{65} [/tex]

The hypotenuse of the red triangle is the common side of the yellow triangle's base.

d is equal to the hypotenuse of the yellow triangle.

The length of d

[tex] = \sqrt{ { \sqrt{65} }^{2} + {2}^{2} } [/tex]

[tex] = \sqrt{65 + 4} [/tex]

[tex] = \sqrt{69} [/tex]

[tex] = 8.30662...[/tex]

= 8.3 units

Answer:

8.3 units

Step-by-step explanation:

Answer:

y=7/4x+2

Step-by-step explanation:

The linear equation in the slope-intercept form will be y = (7/4)x + 13/4.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

y − 5 = 7/4(x − 1)

Convert the equation into a slope-intercept form. Then we have

y − 5 = 7/4(x − 1)

y − 5 = (7/4)x − (7/4)

y = (7/4)x − (7/4) + 5

y = (7/4)x + 13/4

The linear equation in the slope-intercept form will be y = (7/4)x + 13/4.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

$35,640

Step-by-step explanation:

$55×6p×12d×9h=$35,640

Answer:

17.728

Step-by-step explanation:

Answer:

28.51 cubic units

Step-by-step explanation:

From the given information;

The surface area is 56 and not 5656

Let assume that:

the length of the base = a &

the height of the box = h

∴

The volume of the box = a²h &

The surface area (A) = 2a² + 4ah

A = 2a² + 4ah

56 = 2a² + 4ah

56 - 2a²  = 4ah

[tex]h = \dfrac{56-2a^2}{4a}[/tex]

The volume (V) = a²h

[tex]V = a^ 2( \dfrac{56-2a^2}{4a}) \\ \\ V = \dfrac{56a -2a^3}{4} \\ \\ V = \dfrac{2a(28- a^2)}{4} \\ \\ V = \dfrac{(28-a^2)a}{2}[/tex]

Taking the maximum of this function by assuming v = [0, [tex]\sqrt{8}[/tex]]

[tex]V = \dfrac{a(28-a^2)}{2}[/tex]

[tex]V(0) = \dfrac{0(28-0^2)}{2}=0[/tex]

[tex]V(\sqrt{8}) = \dfrac{\sqrt{8}(28-(\sqrt{8})^2)}{2} \\ \\ \implies \sqrt{8} \dfrac{(28-8)} {2} \\ \\ = 10 \sqrt{8}[/tex]

For the critical point V' = 0

[tex]V = \dfrac{a(28-a^2)}{2} \\ \\ V = \dfrac{28a}{2}- \dfrac{a^3}{a} \\ \\ V = 14 a - \dfrac{a^3}{2} \\ \\ V' = 14 - \dfrac{3a^2}{2} \\ \\ 0 = 14 - \dfrac{3a^2}{2} \\ \\ 14 =\dfrac{3a^2}{2}\\ \\ a^2 = 14 \times \dfrac{2}{3} \\ \\ a^2 = \dfrac{28}{3} \\ \\ a = \sqrt{\dfrac{28}{3}} \\ \\ a = \sqrt{9.333} \\ \\ a = 3.055[/tex]

Thus, side of the base (a) = 3.055 units

Recall that:

height  [tex]h = \dfrac{56-2a^2}{4a}[/tex]

[tex]h = \dfrac{56-2(3.055)^2}{4(3.055)}[/tex]

h = 3.0551 units

The maximum volume now = a²h

= (3.055)²(3.0551)

= (9.333)(3.0551)

= 28.51 cubic units

Answer:

x ( side of the square base) = 43,42  ul

h = ( the height f the box ) = 0,17 ul

Step-by-step explanation:

V = Ab * h    where   Ab  is an area of the base and h is the height of the box

as is this case s a square base box then  Ab = x²    ( s the side of the square.

The surface area is ( box without lid): area of the base   x²  plus 4 lateral areas each one equal to  x*h

So   x² +  4 x*h = 5656   u²

Then    4*x*h  = 5656 - x²

h  =  5656 - x² )/ 4*x

V(x) = x² ( 5656  -  x²  )/ 4*x

V(x) = x ( 5656  - x² ) / 4

Tacking derivatives on both sides of the equation :

V´(x) = (1/4 ) * [ (5656 - x² ) - x *2*x]

V´(x) = (1/4 ) * ( 5656 - 3*x² )

v¨(x) = 0        (1/4 ) * ( 5656 - 3*x² ) = 0    3*x² = 5656

x² = 1885,33

x  = √ 1885,33

x  =  43,42  ul

And h  = 5656 - x² )/ 4*x

h  =  [( 5656 - (43,42)²] /4 * 5656

h  = 3770,70 / 22624

h  =  0,17 ul

Answer:

131.95

Step-by-step explanation:

[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]

[tex]v = \frac{1}{3} \times 3.142 \times {3}^{2} \times 14 \\ v = \frac{1}{3} \times 3.142 \times 9 \times 14 \\ v = 131.964 {cm}^{3} [/tex]