stion 13: A typical barrel of bot-oil contains 70 liters of oil. If a hole he barrel is causing a constant 6 liters an hour leak, use a function to show the amount of oil in the barrel over time.

Answer:

43,200 minutes in 1months or 30 days

There are 43200 minutes in one month.

The basic explanation of multiplication is adding a number, with respect to another number, repeatedly.

Given that, How many minutes are in a 30-day month,

We have, 60 minutes in 1 hour

And, 24 hours in 1 day,

Then, number of minutes in 1 day = 60 × 24 = 1440 minutes

Therefore, in 1 month = 1440 × 30 = 43200 minutes

Hence, there are 43200 minutes in one month.

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Answer:

5) 4а²+8ас=4а(а+2с)

6) 3m²-6mn=3m(m-2n)

7) ab-ac+yb-yc=a(b-c)+y(b-c)=(a+y)(b-c)

8) ab+ac+xb+c=b(a+x)+c(a+1)

Answer:

40 feets

Step-by-step explanation:

Given that :

Person's height = 5feet 6 inches ;

Person's height in inches ;

1 foot = 12 inches ;

5 feets = (12 * 5) = 60 inches

Person's height = 60 + 6 = 66 inches

Height of person's shadow = 16.5 inches

Height of post shadow = 120 inches

Height of goal post = x

(Height of goal post / height of post shadow) = (person's height / person's shadow)

x / 120 = 66 / 16.5

Cross multiply :

16.5x = 120 * 66

16.5x = 7920

x = 7920 / 16.5

x = 480 inches

To feets ;

1 foot = 12 inches

480 inches = 480/12 feets = 40 feets

Answer:

8

Step-by-step explanation:

(16^3/2)^1/2

We know a^b^c = a^(b*c)

16 ^(3/2*1/2)

16 ^3/4

Rewriting 16 as 2^4

2^4^3/4

2^(4*3/4)

2^3

8

Answer:

B

Step-by-step explanation:

the radii have to be cubed cause a volume is cubed

3^3:5^3

27:125

I hope this helps and sorry if it's wrong

Answer:

Since this is a linear (non-exponential) population problem you can just use the standard y=mx+b form of an equation. Where m = (change in population/change in years)

The numbers you were provided state that over the course of 7 years (1998-1991) the population increased by 420 people (4130-3710). So, (420/7) = 60 = m. Assuming that the growth rate for 1990 is the same as 1991. then you would have a starting population of (3710-60) or 3650, that would be your "b" value since at t=0 P(t) = 3650. This yields a final equation of P(t) = 60t +3650. Check the answer at t=1 and you get the population during 1991: 3710.

Step-by-step explanation:

.

Answer:

40 kg

Step-by-step explanation:

[tex]\frac{5}{83.75} :\frac{y}{670}[/tex]

y · 83.75 = 5 · 670

83.75y = 3350

83.75y ÷ 83.75 = 3350 ÷ 83.75

y = 40

The amount of rice you can buy for ₹670 is given by the equation

A = 40 kilograms

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount of rice for ₹670 be A

Now , the equation will be

The amount for 5 kg of rice = ₹ 83.75

So , the amount for 1 kg of rice = amount for 5 kg of rice / 5

The amount for 1 kg of rice = 83.75 / 5

The amount for 1 kg of rice = ₹ 16.75

So , the amount of rice for ₹ 670 = 670 / amount for 1 kg of rice

The amount of rice for ₹ 670 = 670 / 16.75

The amount of rice for ₹ 670 = 40 kilograms

Therefore , the value of A is 40 kilograms

Hence , the amount of rice is 40 kg

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Answer:

1. numerator;

2. denominator

Step-by-step explanation:

For a one-way within-subjects ANOVA, the mean difference attributed to the manipulation is in the NUMERATOR, and the mean difference attributed to individual differences is in the DENOMINATOR of the test statistic.

The amount from tax is $97.16 while the amount from sales is $1156.52

Tax is a compulsory sum levied on the sales of goods and services

Taxes increases the price of a good

The price of J.W.'s pottery would be 7.75% higher as a result of the tax

Amount of tax collected = percentage of sales tax  x total of cash

0.0775 x  $1253.68 = $97.16

Amount from the sale = total cash - taxes

$1253.68 - $97.16 = $1156.52

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Answer:

q = 1/4

Step-by-step explanation:

-5/4 - (-1/4) = -1

-1/(q-1/2) = 4

-1 = 4(q-1/2)

-1 = 4q - 2

1 = 4q

q = 1/4

Answer:

x <9

Step-by-step explanation:

6(2x-11)<-3+5x

Distribute

12x -66 < -3+5x

Subtract 5x from each side

12x-5x -66 < -3+5x-5x

7x -66< -3

Add 66 to each side

7x-66+66<-3+66

7x<63

Divide by 7

7x/7 <63/7

x <9

Answer:

Width = 4 cm

Length = 8 cm

Step-by-step explanation:

Hi there!

Let [tex]l[/tex] be equal to the length of the rectangle.

Let [tex]w[/tex] be equal to the width of the rectangle.

1) Determine equations to find the length and width

We're given that the length is two times the length of the width:

[tex]l=2w[/tex]

We're also given that the area of the rectangle is 32 cm². Recall that the area of a rectangle is [tex]A=lw[/tex]:

[tex]A=lw\\32=lw[/tex]

Now, we have our two equations:

[tex]\displaystyle \left \{ {{l=2w} \atop {32=lw}} \right.[/tex]

2) Solve for the width using substitution

[tex]\displaystyle \left \{ {{l=2w} \atop {32=lw}} \right.[/tex]

Replace [tex]l[/tex] in the second equation with [tex]2w[/tex] from the first equation:

[tex]32=(2w)w\\32=2w^2[/tex]

Divide both sides by 2 to isolate w²:

[tex]16=w^2[/tex]

Take the square root of both sides to isolate w:

[tex]\pm4=w[/tex]

Because width cannot be negative, w=4. Therefore, the width of the rectangle is 4 cm.

3) Solve for the length

[tex]\displaystyle \left \{ {{l=2w} \atop {32=lw}} \right.[/tex]

Now, that we have the width (4 cm), we can solve for the length by plugging it back into one of the equations. Either of the equations work, but we can use the first:

[tex]l=2w\\l=2(4)\\l=8[/tex]

Therefore, the length of the rectangle is 8 cm.

3) Draw the rectangle

We can use what you had before as a foundation. You drew a rectangle with width 4 cm and length 7 cm. To draw the correct rectangle, add another row on top to make it 4 cm by 8 cm.

I hope this helps!

Answer:

u=1

v = 10

Step-by-step explanation:

For the triangles to be congruent

IG = PR

50 = u+49

50 - 49 = u

1 = u

GH = RQ

v+6 = 16

v = 16-6

v = 10

Answer:

[tex]2.5s[/tex]

Step-by-step explanation:

We are given a function which tells us at what time the rock is at a certain height. What should be the height of this function when the rock hits the ground? 0, because it has no height, it's on the ground!

So let's plug in 0, and see what value we get for the time.

[tex]0 = 16t^2-100\\100 = 16t^2\\\frac{100}{16} = t^2\\[/tex]

To solve for t we need to take the square root of both sides.

[tex]t = \sqrt{\frac{100}{16} } = \frac{10}{4} = 2.5s[/tex]

Answer:

Step-by-step explanation:

Mean of the data = sum of the data / number of frequencies:

Correct choice is d

Answer:

Answer is 13x⁴ - x³ - 9x²( the last option)

Step-by-step explanation:

f(x) = 8x⁴ - x³ - 4x²

g(x) = -5x⁴ + 5x²

so,

f(x) - g(x)

=(substituting the value)

= (8x⁴ - x³ - 4x²) - (-5x⁴ + 5x²)

= 8x⁴ - x³ - 4x² + 5x⁴ - 5x²

= 8x⁴ + 5x⁴ - x³ - 4x² - 5x²

= 13x⁴ - x³ - 9x²

Answer:

The 4th option would be correct.

Step-by-step explanation:

No complex calculations are needed. Just pay attention to what the problem is asking for. Notice that f(x) is positive while g(x) is negative. So instead of adding, you're subtracting.

Now look at the last coefficients in each function. Notice that they're the same term, since both of their variables are x^2. Since we're subtracting, that 5x^2 in function g is actually going to be negative. This is why the answer would be the last option, since it's the only one that shows that -4x^2 and -5x^2 is being combined.

Also, at the start, I said no complex calculations are needed. This is because the problem didn't say 'Show your work' or something along those lines. Only do it if it asks, or if your teacher does.

90

6+6=12

12+8=20

20+10=30

30+12=42

42+14=56

56+16+18=90

1+1+2+2+3+3+4+4+5+5+6+6+7+7+8+8+9+9+0+0 would equal to 90 if you break it down.

Hope this helps!

Have a great day :)

9514 1404 393

Answer:

  a) 11 cm

  b) 20 cm

Step-by-step explanation:

A square has four equal-length sides, so the perimeter is 4 times the side length. Then the side length is 1/4 of the perimeter.

  a) s = (1/4)(44 cm) = 11 cm

  b) s = (1/4)(80 cm) = 20 cm

Answer:

Side = 2 * height / sqr root 3

Side = 2 * 6 * sqr root 3 / sqr root 3

Side = 12

Step-by-step explanation:

Answer:

The height of the tree is is 60m

Step-by-step explanation:

Let's answer a, as it is the only complete question.

We know that the angle of elevation of the top of a tree observed from a point 60m away, is 45°.

We can model this with a triangle rectangle, a sketch of it can be seen below (assuming that you are looking it from the ground).

You can see that the adjacent cathetus to the 45° angle is equal to 60m

And the opposite cathetus is the measure we want to find.

Now you can remember the trigonometric relation:

tan(a) = (opposite cathetus)/(adjacent cathetus).

So to find the height of the tree we need to solve:

tan(45°) = H/60m

This is just:

tan(45°)*60m = H  =60m

The height of the tree is is 60m

Answer:

[tex]x+3y\leq 0[/tex]        

[tex]x-y\geq 0[/tex]

[tex]1) x+3y=0[/tex]

[tex]x-y=0[/tex]

[tex]-----[/tex]

[tex]4y=0[/tex]

[tex]y=0[/tex]

[tex]x=0[/tex]

[tex](0,0)[/tex]

[tex]2)(x+3y=0)3[/tex]

[tex]3x-7y=16[/tex]

[tex]3x+9y=0[/tex]

[tex]3x-7y=16\\------\\16y=-16[/tex]

[tex]y=-1[/tex]

[tex](3,-1)[/tex]

[tex]3)(x-y=0)3[/tex]

[tex]3x-7y=16[/tex]

[tex]3x-3y=16[/tex]

[tex]3x-3y=0[/tex]

[tex]3x-7y=16\\------\\4y=-16[/tex]

[tex]y=-4[/tex]

[tex]x=4[/tex]

[tex](4,-4)[/tex]

[tex]Z=-x+5y[/tex]

[tex](0,0):z=0[/tex]

[tex](3,-1):z=-8[/tex]

[tex](4,-4):z=-24[/tex]

[tex]Maximum \:Value\: of\: z:0[/tex]

[tex]Minimum\: Value\: of\: z:-24[/tex]

OAmalOHopeO

Answer:

Step-by-step explanation:

Area of sector:

Substitute the values and find the area:

Answer:

the second option

Step-by-step explanation:

SAS is side angle side. so, we need 2 sides and the enclosed angle.

since G is the transformed M, and GL is the transformed side TM, that also means L correlates to T and S to D.

for SAS we need both sides of the angles M and G.

TD and SL are not satisfying this condition.

only MD and SG do.

Answer:

.441320612

or

44.132%

Step-by-step explanation:

This is binomial

fewer than 3 is equal to p(0)+p(1)+p(2)

[tex]p(0)={19\choose0}*.15^0*(1-.15)^{19}=.045599448\\p(1)={19\choose1}*.15^1*(1-.15)^{18}=.152892268\\p(2)={19\choose2}*.15^2*(1-.15)^{17}=.242828896\\p(0)+p(1)+p(2)=.441320612[/tex]

Answer:

I believe it is 55°.

I can't remember the exact steps for this tho.

I hope it is right! good luck!

Answer:

[tex](2x-3)^{3}[/tex]

Step-by-step explanation:

2x * 2x * 2x would get the 8x^3

the -3 * -3 * -3  would get the -27

if you do all the other multiplications -36x^2 and 54 X would result

Answer:

a= 1

b= 3

c= 2

d= 2

e= 6

f= 8. These are the answers for the question. Love from Gauthmath

The standard exponential function is expressed as y =ab^x. The values of the variables are: b = c = 3, a = 1, d = 2,e = 6, f = 9

The standard exponential function is expressed as:

y =ab^x

wherex is the exponent

a is the base

According to the question, we are to fill the given table based on the given exponential functions.

If the exponential function is 2^x

a = 2^0 = 1

d = 2^1 = 2

If the exponential function is 3*2^x

b = 3* 2^0 = 3

e = 3 * 2^1 = 6

If the exponential function is 2^3x

c = 3^2(0) = 3^1 = 3

f = 3^2(1) = 3^2 = 9

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Answer:

yes because the graph passes the vertical line test

Answer:

y(x) = 2x+3

Step-by-step explanation:

the rule is y(x) = 2x+3