Two containers are mathematically similar. Their volumes are 54 cm3 and 128cm3.
The height ofthe s maller containeris 4.5cm.
Calculate the height of the larger container.

Answer:

3/13

Just divide and u will get the answer

Answer:

3 : 13

Step-by-step explanation:

Given the ratio

6 : 26 ( divide both parts by 2 )

= 3 : 13 ← in simplest form

Since 6 small bricks have the same mass as 5 large bricks and the mass of one small brick is 2.5 kg, the mass of one of the large bricks is 3 kg

Mass is the quantity of matter in a physical body.

6 small bricks have the same mass as 5 large bricks.

let

the total mass of the small or large bricks = x

Therefore,

6 × 2.5 = x

x = 15 kg

Therefore, the mass of each large bricks can be calculated as follows:

let the mass of each large bricks  = y

15 = 5y

divide both sides by 6

y = 15 / 5

y = 3 kg

Therefore, the mass of one of the large bricks is 3 kg

.learn more on mass here: https://brainly.com/question/895643

The form [tex]y=ab^x[/tex] has two unknowns, namely [tex]a[/tex] and [tex]b[/tex], so you would need to have two points to find the equation (which you do). Once you have your two points, you can create a system of equations by plugging in the x and y coordinates like below:

[tex]\left \{ {{10=ab^0} \atop {5120=ab^9}} \right.[/tex]

One thing you may remember is that ANY number to the power of 0 equals 1. Knowing that, we can replace [tex]b^0[/tex] in the first equation with 1. Since 1 multiplied by any number is just that same number, that leaves [tex]a[/tex] alone in the first equation.

[tex]\left \{ {{10=a} \atop {5120=ab^9}} \right.[/tex]

The first equation now tells us that [tex]a[/tex] is 10, so we can plug 10 in for [tex]a[/tex] in the other equation.

[tex]5120=10b^9[/tex]

Now we can divide both sides by 10 to isolate [tex]b^9[/tex].

[tex]512=b^9[/tex]

To get [tex]b[/tex] alone, we have to take the 9th root of both sides.

[tex]\sqrt[9]{512} =\sqrt[9]{b^9}[/tex]

That gives us:

[tex]2=b[/tex]

We can now plug [tex]a[/tex] and [tex]b[/tex] into the form they gave us to get:

[tex]y=10*2^x[/tex]

Answer:

- 1.628 x 10^9

Step-by-step explanation:

(1.9 x 10^9) - 6,300,000 × (5.6 x 10^2) =  - 1628000000

 - 1628000000 = - 1.628 x 10^9

Answer:

Answer:

2 ⅓  

Step-by-step explanation:

division is the same as a fraction

the dividend is the numerator and the divisor is the denominator

7÷3 is the same as 7/3

change 7/3 into a mixed number which is 2 ⅓  

No, this is not a plausible value for the population mean, because 5 is not within the 95% confidence interval.

====================================================

Explanation:

The greek letter mu is the population mean. It has the symbol [tex]\mu[/tex] which looks like the letter 'u' but with a tail at the front or left side.

The question is asking if mu = 5 is plausible if the researcher found the 95% confidence interval to be 5.2 < mu < 7.8

We see that 5 is not in that interval. It's a bit to the left of 5.2

Since mu = 5 is not in the interval, it's not a plausible value for the population mean.

Have we ruled it out with 100% confidence? No. Such a thing is not possible. There's always room for (slight) error. The researcher would need to do a census to be fully confident; however, such practices are very time consuming and expensive. This is the main reason why statistics is important to try to estimate the population with a sample.

Answer:

adjacent, linear pair, supplementary

Step-by-step explanation:

adacent because they are angles side by side

linear because the angles create a straight line

supplementary because the angles equal 180 degrees

Answer:

Students = 380

Adults = 150

Step-by-step explanation:

3x + 4y = 1740

and a total tickets equation of: x + y = 530

Answer:

A, C, and E I think

Step-by-step explanation:

3. 128°

6. 136°

8. 96°

9. 96°

11. 136°

13. 52°

14. 128°

15. 44°

16. 136°

17. 128°

18. 52°

Answer:

no

Step-by-step explanation:

quad- 4

pent- 5

they have a different number of sides

Answer:

45°

Step-by-step explanation:

Northeast (NE), 45°, halfway between north and east, is the opposite of southwest. Southeast (SE), 135°, halfway between south and east, is the opposite of northwest. Southwest (SW), 225°, halfway between south and west, is the opposite of northeast.

Answer:

its below

Step-by-step explanation:

Part A: 52.29

Part B: the top box is 52.29, the longer box under is 34. 80 and the smaller one is 17.49

Answer:

p=1

Step-by-step explanation:

first you need to get rid of the parenthesis

-2p+8=6-7p+7

then combine everything you can on their respective sides

-2p+8=13-7p

then get the variable on one side and for this, it can be done 2 different ways but both ways get the same answer

-2p+8=13-7p

+7p         +7p

5p+8=13

or

-2p+8=13-7p

+2p         +2p

8=13-5p

then, depending on which way you decide to solve it, you would then solve for x like you would in any regualar equation

first way shown above:

5p+8=13

    -8  -8

5p=5

divide them both by 5 and p=1

or the other way shown above

8=13-5p

-13  -13

-5=-5p

divide both sides by -5 and then p=1

Answer:

100

Step-by-step explanation:

g(x)=5x^2+4x−5

Let x = -5

g(x)=5 ( -5)^2+4(-5)−5

     = 5*25 - 20 -5

     =125 - 25

    = 100

Answer:

45 + n = 325

n = $280

Step-by-step explanation:

total cost = monthly cost plus the cost of lessons

total cost = $325

monthly cost = $45

number of lessons = 'n'

45 + n = 325

n = 280

Answer:

x > 19

Step-by-step explanation:

Hey there!

To solve this equation, you would solve it like any other equation.

Imagine that the inequality sign isn't there, and it's replaced with an equal sign. (I'm still going to use >, I just want you to pretend)

Solve:

Subtract 17 from both sides

That's it! there's your solution!

Remember this rule:

I think you forgot the graph. Please add it.

Answer:

I believe the answer is A: x = - 1

Answer:

3

Step-by-step explanation:

Here, 1:x =5:15

Solving which the value of x is 3.

Answer:  21 units

Step-by-step explanation: Since the y-coordinates are the same, you need to find only the difference in the x-values.

Since one is positive and one is negative, (on different sides of the y-axis) you add the distances of each coordinate from there.

Or, remember that finding the difference between two numbers is a subtraction equation, and subtracting a negative is the same as adding a positive.

15 -(-6) = x

15 + 6 = x

21 = x

Answer:

Step-by-step explanation:

Let the number be x

[tex]\dfrac{3}{4}+x \leq 2\dfrac{3}{4}\\\\\\\dfrac{3}{4}+ x \leq \dfrac{11}{4}[/tex]

Subtract 3/4 from both sides

[tex]\dfrac{3}{4}-\dfrac{3}{4}+x\leq \dfrac{11}{4}-\dfrac{3}{4}\\\\\\x \leq \dfrac{11-3}{4}\\\\\\x \leq \dfrac{8}{4}\\\\\\x \leq 2[/tex]

Answer:  Any number less than or equal to 2

Answer:

7.8 mL

Step-by-step explanation:

Answer:

.78 L

Step-by-step explanation:

Well, simple conversions

a milliliter is .0001 of a liter and 1 liter is 1000 mL, so we can safely say that .78 L is 780 mL, dwarfing the given 7.8 mL

Answer:

Step-by-step explanation:

cos 10° cos 8° − sin 10° sin 8° = cos(10° + 8°) = cos(18°)

Solution:

We know that:

Since LN and MP must be equation, equation formed: 4x + 3 = 8x - 9

Let's simplify the equation to find x.

Subtracting 4x both sides.

Add 9 both sides.

Divide 4 both sides.

Now, let's find the length of each diagonal.

Diagonals are equal

[tex]\\ \rm\Rrightarrow 4x+3=8x-9[/tex]

[tex]\\ \rm\Rrightarrow -4x=-12[/tex]

[tex]\\ \rm\Rrightarrow x=-12/-4[/tex]

[tex]\\ \rm\Rrightarrow x=3[/tex]