What multiplication question is equivalent to -6 + (-6) + (-6)

Greyhounds can reach speeds of 20.1 meters per second. Which conversion factor can be used to find this speed in meters per minu

Usimov [2.4K]

1 minute = 60 seconds

You need to multiply the speed in m/s with 60 seconds and you will get the speed in meters/minute.

Covnersion factor is 60 seconds.

Solution would be : 20,1m/s * 60s = 1206meters/min

4 0

4 years ago

You are planning to make an open rectangular box from a 24-in.-by-47-in. piece of cardboard by cutting congruent squares from

miskamm [114]

Answer:

The dimensions are 13.92inches by 36.92inches by 5.04inches

Volume is 2590.18 inches³

Step-by-step explanation:

see attachment for the figure

supposing 'h' is side length of the square and also the height of the box

then, According to the question

Length of the box 'L'= 47 - 2h

Width of the box 'w'= 24 - 2h

Volume of the box 'V'= hLw

Substituting the values of 'L' and 'w' in above equation

V= h(47 - 2h)(24 - 2h)

V=(47h - 2h²)(24 - 2h) => 1128h - 94h²-48h²+4h³

V= 4h³ -142h²+1128h -->eq(1)

Taking derivative on both sides.

V' = 12h² - 284h + 1128

Setting the equation to zero, we will have

0=12h² - 284h + 1128

0= 3h² - 71h + 282

Using Quadratic formula to find h

h= (-b+-√b²-4ac) / 2a

= 71+-√71² - (4 x 3 x 282) / (2 x 3)=> 71+-√5041- 3384 / 6

h =(71+- 40.706)/ 6

EITHER h= 18.6

OR h=5.04

By substituting the value of 'h' in eq(1)

(1)=>V(18.6)= 4(18.6)³ -142(18.6)²+1128(18.6) => -2406.096

(1)=>V(5.04)= 4(5.04)³ -142(5.04)²+1128(5.04) => 2590.18

By ignoring the negative value, we will have h=5.04

Therefore,

L= 47 - 2h => 47 -2(5.04) =>36.92

w= 24 - 2h=> 24- 2(5.04)=> 13.92

The dimensions are 13.92inches x 36.92inches x 5.04inches

Volume is 2590.18 inches³

7 0

4 years ago

A study was conducted to find out if a new exercise program was more effective than an old one at improving cardiovascular fitne

BaLLatris [955]

Answer:

Step-by-step explanation:

Given that a study was conducted to find out if a new exercise program was more effective than an old one at improving cardiovascular fitness.

Subjects were randomly selected to participate and then randomly assigned to one of the two programs. After six months of exercising, they were given a score based on their fitness performance. Scores ranged from 19 to 73, with higher scores indicating higher performance.

Here there are two groups one for each program. After recording the scores groupwise, mean, std deviation of each group to be calculated.

Then independent sample test (option B) to be done.

Paired data set is not right because same person cannot be in two programs.

Here proportion is not recorded so D is wrong. Since variance is not checked anova is not right. Independence is not checked so E is wrong. Regression is wrong because there is no estimate for regression line here

B) is right.

6 0

3 years ago

Find the side length of x

tino4ka555 [31]

Answer:

x=41

Step-by-step explanation:

x is your hypotenuse , and cuz its a right triangle you can use pythogorean theorem so $9^{2}$ + $40^{2}$ = $c^{2}$ , and c is the same as "x"